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/* 
 * strftime.c --
 *
 *	This file contains a modified version of the BSD 4.4 strftime
 *	function.
 *
 * This file is a modified version of the strftime.c file from the BSD 4.4
 * source.  See the copyright notice below for details on redistribution
 * restrictions.  The "license.terms" file does not apply to this file.
 *
 * Changes 2002 Copyright (c) 2002 ActiveState Corporation.
 *
 * RCS: @(#) $Id: strftime.c,v 1.13 2003/08/27 19:23:59 davygrvy Exp $
 */

/*
 * Copyright (c) 1989 The Regents of the University of California.
 * All rights reserved.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 * 1. Redistributions of source code must retain the above copyright
 *    notice, this list of conditions and the following disclaimer.
 * 2. Redistributions in binary form must reproduce the above copyright
 *    notice, this list of conditions and the following disclaimer in the
 *    documentation and/or other materials provided with the distribution.
 * 3. All advertising materials mentioning features or use of this software
 *    must display the following acknowledgement:
 *	This product includes software developed by the University of
 *	California, Berkeley and its contributors.
 * 4. Neither the name of the University nor the names of its contributors
 *    may be used to endorse or promote products derived from this software
 *    without specific prior written permission.
 *
 * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
 * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
 * SUCH DAMAGE.
 */

#if defined(LIBC_SCCS)
static char *rcsid = "$Id: strftime.c,v 1.13 2003/08/27 19:23:59 davygrvy Exp $";
#endif /* LIBC_SCCS */

#include <time.h>
#include <string.h>
#include <locale.h>
#include "tclInt.h"
#include "tclPort.h"

#define TM_YEAR_BASE   1900
#define IsLeapYear(x)   ((x % 4 == 0) && (x % 100 != 0 || x % 400 == 0))

/*
 * Structure type holding the locale-dependent strings for formatting
 * times. The strings are all expected to be encoded in UTF-8.
 */

typedef struct {
    const char *abday[7];	/* Abbreviated weekday names */
    const char *day[7];		/* Full weekday names */
    const char *abmon[12];	/* Abbreviated month names */
    const char *mon[12];	/* Full month name */
    const char *am_pm[2];	/* The strings to use for meridian time
				 * (am, pm) */
    const char *d_t_fmt;	/* The locale-dependent date-time format */
    const char *d_fmt;		/* The locale-dependent date format */
    const char *t_fmt;		/* The locale-dependent 24hr time format */
    const char *t_fmt_ampm;	/* The locale-dependent 12hr time format */
} _TimeLocale;

/*
 * This is the C locale default.  On Windows, if we wanted to make this
 * localized, we would use GetLocaleInfo to get the correct values.
 * It may be acceptable to do localization of month/day names, as the
 * numerical values would be considered the locale-independent versions.
 */
static const _TimeLocale _DefaultTimeLocale = 
{
    {
	"Sun","Mon","Tue","Wed","Thu","Fri","Sat",
    },
    {
	"Sunday", "Monday", "Tuesday", "Wednesday", "Thursday",
	"Friday", "Saturday"
    },
    {
	"Jan", "Feb", "Mar", "Apr", "May", "Jun",
	"Jul", "Aug", "Sep", "Oct", "Nov", "Dec"
    },
    {
	"January", "February", "March", "April", "May", "June", "July",
	"August", "September", "October", "November", "December"
    },
    {
	"AM", "PM"
    },
    "%a %b %d %H:%M:%S %Y",
    "%m/%d/%y",
    "%H:%M:%S",
    "%I:%M:%S %p"
};

static const _TimeLocale *_CurrentTimeLocale = &_DefaultTimeLocale;

static int isGMT;
static size_t gsize;
static char *pt;
static int		 _add _ANSI_ARGS_((const char* str));
static int		_conv _ANSI_ARGS_((int n, int digits, int pad));
static int		_secs _ANSI_ARGS_((const struct tm *t));
static size_t		_fmt _ANSI_ARGS_((const char *format,
			    const struct tm *t));

/*
 *----------------------------------------------------------------------
 *
 * TclpStrftime --
 *
 *	Formats a time (in 'struct tm' representation) for use by
 *	[clock format].
 *
 * Results:
 *	Returns the length of the formatted string.
 *
 * Side effects:
 *	Stores the formatted string in the 's' parameter. The
 *	formatted string is returned in UTF-8 encoding, *not* the
 *	system encoding.
 *
 *----------------------------------------------------------------------
 */

size_t
TclpStrftime(s, maxsize, format, t, useGMT)
    char *s;			/* Buffer to hold the formatted string */
    size_t maxsize;		/* Size of the passed buffer */
    const char *format;		/* Format to use (see the user documentation
				 * for [clock] for details) */
    const struct tm *t;		/* Time to format */
    int useGMT;			/* Flag == 1 if time is to be returned
				 * in UTC */
{
    if (format[0] == '%' && format[1] == 'Q') {
	/* Format as a stardate */
	sprintf(s, "Stardate %2d%03d.%01d",
		(((t->tm_year + TM_YEAR_BASE) + 377) - 2323),
		(((t->tm_yday + 1) * 1000) /
			(365 + IsLeapYear((t->tm_year + TM_YEAR_BASE)))),
		(((t->tm_hour * 60) + t->tm_min)/144));
	return(strlen(s));
    }

    isGMT = useGMT;
    /*
     * We may be able to skip this for useGMT, but it should be harmless.
     * -- hobbs
     */
    tzset();

    pt = s;
    if ((gsize = maxsize) < 1)
	return(0);
    if (_fmt(format, t)) {
	*pt = '\0';
	return(maxsize - gsize);
    }
    return(0);
}

#define SUN_WEEK(t)	(((t)->tm_yday + 7 - \
				((t)->tm_wday)) / 7)
#define MON_WEEK(t)	(((t)->tm_yday + 7 - \
				((t)->tm_wday ? (t)->tm_wday - 1 : 6)) / 7)

static size_t
_fmt(format, t)
    const char *format;
    const struct tm *t;
{
#ifdef __WIN32__
#define BUF_SIZ 256
    TCHAR buf[BUF_SIZ];
    SYSTEMTIME syst;
    syst.wYear	    = t->tm_year + 1900;
    syst.wMonth	    = t->tm_mon + 1;
    syst.wDayOfWeek = t->tm_wday;
    syst.wDay	    = t->tm_mday;
    syst.wHour	    = t->tm_hour;
    syst.wMinute    = t->tm_min;
    syst.wSecond    = t->tm_sec;
    syst.wMilliseconds = 0;
#endif
    for (; *format; ++format) {
	if (*format == '%') {
	    ++format;
	    if (*format == 'E') {
				/* Alternate Era */
		++format;
	    } else if (*format == 'O') {
				/* Alternate numeric symbols */
		++format;
	    }
	    switch(*format) {
		case '\0':
		    --format;
		    break;
		case 'A':
		    if (t->tm_wday < 0 || t->tm_wday > 6)
			return(0);
		    if (!_add(_CurrentTimeLocale->day[t->tm_wday]))
			return(0);
		    continue;
		case 'a':
		    if (t->tm_wday < 0 || t->tm_wday > 6)
			return(0);
		    if (!_add(_CurrentTimeLocale->abday[t->tm_wday]))
			return(0);
		    continue;
		case 'B':
		    if (t->tm_mon < 0 || t->tm_mon > 11)
			return(0);
		    if (!_add(_CurrentTimeLocale->mon[t->tm_mon]))
			return(0);
		    continue;
		case 'b':
		case 'h':
		    if (t->tm_mon < 0 || t->tm_mon > 11)
			return(0);
		    if (!_add(_CurrentTimeLocale->abmon[t->tm_mon]))
			return(0);
		    continue;
		case 'C':
		    if (!_conv((t->tm_year + TM_YEAR_BASE) / 100,
			    2, '0'))
			return(0);
		    continue;
		case 'D':
		    if (!_fmt("%m/%d/%y", t))
			return(0);
		    continue;
		case 'd':
		    if (!_conv(t->tm_mday, 2, '0'))
			return(0);
		    continue;
		case 'e':
		    if (!_conv(t->tm_mday, 2, ' '))
			return(0);
		    continue;
		case 'H':
		    if (!_conv(t->tm_hour, 2, '0'))
			return(0);
		    continue;
		case 'I':
		    if (!_conv(t->tm_hour % 12 ?
			    t->tm_hour % 12 : 12, 2, '0'))
			return(0);
		    continue;
		case 'j':
		    if (!_conv(t->tm_yday + 1, 3, '0'))
			return(0);
		    continue;
		case 'k':
		    if (!_conv(t->tm_hour, 2, ' '))
			return(0);
		    continue;
		case 'l':
		    if (!_conv(t->tm_hour % 12 ?
			    t->tm_hour % 12: 12, 2, ' '))
			return(0);
		    continue;
		case 'M':
		    if (!_conv(t->tm_min, 2, '0'))
			return(0);
		    continue;
		case 'm':
		    if (!_conv(t->tm_mon + 1, 2, '0'))
			return(0);
		    continue;
		case 'n':
		    if (!_add("\n"))
			return(0);
		    continue;
		case 'p':
		    if (!_add(_CurrentTimeLocale->am_pm[t->tm_hour >= 12]))
			return(0);
		    continue;
		case 'R':
		    if (!_fmt("%H:%M", t))
			return(0);
		    continue;
		case 'r':
		    if (!_fmt(_CurrentTimeLocale->t_fmt_ampm, t))
			return(0);
		    continue;
		case 'S':
		    if (!_conv(t->tm_sec, 2, '0'))
			return(0);
		    continue;
		case 's':
		    if (!_secs(t))
			return(0);
		    continue;
		case 'T':
		    if (!_fmt("%H:%M:%S", t))
			return(0);
		    continue;
		case 't':
		    if (!_add("\t"))
			return(0);
		    continue;
		case 'U':
		    if (!_conv(SUN_WEEK(t), 2, '0'))
			return(0);
		    continue;
		case 'u':
		    if (!_conv(t->tm_wday ? t->tm_wday : 7, 1, '0'))
			return(0);
		    continue;
		case 'V':
		{
				/* ISO 8601 Week Of Year:
				   If the week (Monday - Sunday) containing
				   January 1 has four or more days in the new 
				   year, then it is week 1; otherwise it is 
				   week 53 of the previous year and the next
				   week is week one. */
				 
		    int week = MON_WEEK(t);

		    int days = (((t)->tm_yday + 7 - \
			    ((t)->tm_wday ? (t)->tm_wday - 1 : 6)) % 7);


		    if (days >= 4) {
			week++;
		    } else if (week == 0) {
			week = 53;
		    }

		    if (!_conv(week, 2, '0'))
			return(0);
		    continue;
		}
		case 'W':
		    if (!_conv(MON_WEEK(t), 2, '0'))
			return(0);
		    continue;
		case 'w':
		    if (!_conv(t->tm_wday, 1, '0'))
			return(0);
		    continue;
#ifdef __WIN32__
		/*
		 * To properly handle the localized time routines on Windows,
		 * we must make use of the special localized calls.
		 */
		case 'c':
		    if (!GetDateFormat(LOCALE_USER_DEFAULT, DATE_LONGDATE,
			    &syst, NULL, buf, BUF_SIZ) || !_add(buf)
			    || !_add(" ")) {
			return(0);
		    }
		    /*
		     * %c is created with LONGDATE + " " + TIME on Windows,
		     * so continue to %X case here.
		     */
		case 'X':
		    if (!GetTimeFormat(LOCALE_USER_DEFAULT, 0,
			    &syst, NULL, buf, BUF_SIZ) || !_add(buf)) {
			return(0);
		    }
		    continue;
		case 'x':
		    if (!GetDateFormat(LOCALE_USER_DEFAULT, DATE_SHORTDATE,
			    &syst, NULL, buf, BUF_SIZ) || !_add(buf)) {
			return(0);
		    }
		    continue;
#else
		case 'c':
		    if (!_fmt(_CurrentTimeLocale->d_t_fmt, t))
			return(0);
		    continue;
		case 'x':
		    if (!_fmt(_CurrentTimeLocale->d_fmt, t))
			return(0);
		    continue;
		case 'X':
		    if (!_fmt(_CurrentTimeLocale->t_fmt, t))
			return(0);
		    continue;
#endif
		case 'y':
		    if (!_conv((t->tm_year + TM_YEAR_BASE) % 100,
			    2, '0'))
			return(0);
		    continue;
		case 'Y':
		    if (!_conv((t->tm_year + TM_YEAR_BASE), 4, '0'))
			return(0);
		    continue;
		case 'Z': {
		    char *name = (isGMT ? "GMT" : TclpGetTZName(t->tm_isdst));
		    if (name && !_add(name)) {
			return 0;
		    }
		    continue;
		}
		case '%':
		    /*
		     * X311J/88-090 (4.12.3.5): if conversion char is
		     * undefined, behavior is undefined.  Print out the
		     * character itself as printf(3) does.
		     */
		default:
		    break;
	    }
	}
	if (!gsize--)
	    return(0);
	*pt++ = *format;
    }
    return(gsize);
}

static int
_secs(t)
    const struct tm *t;
{
    static char buf[15];
    register time_t s;
    register char *p;
    struct tm tmp;

    /* Make a copy, mktime(3) modifies the tm struct. */
    tmp = *t;
    s = mktime(&tmp);
    for (p = buf + sizeof(buf) - 2; s > 0 && p > buf; s /= 10)
	*p-- = (char)(s % 10 + '0');
    return(_add(++p));
}

static int
_conv(n, digits, pad)
    int n, digits;
    int pad;
{
    static char buf[10];
    register char *p;

    for (p = buf + sizeof(buf) - 2; n > 0 && p > buf; n /= 10, --digits)
	*p-- = (char)(n % 10 + '0');
    while (p > buf && digits-- > 0)
	*p-- = (char) pad;
    return(_add(++p));
}

static int
_add(str)
    const char *str;
{
    for (;; ++pt, --gsize) {
	if (!gsize)
	    return(0);
	if (!(*pt = *str++))
	    return(1);
    }
}
test/mtest.c,v $ */ +/* $Revision: 1.2 $ */ +/* $Date: 2005/05/05 14:38:47 $ */ diff --git a/libtommath/tommath.h b/libtommath/tommath.h index f9b2d11..3c00b9e 100644 --- a/libtommath/tommath.h +++ b/libtommath/tommath.h @@ -579,6 +579,6 @@ extern const char *mp_s_rmap; #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/tommath.h,v $ */ -/* $Revision: 1.1.1.4 $ */ -/* $Date: 2006/12/01 00:08:12 $ */ +/* $Source: /cvs/libtom/libtommath/tommath.h,v $ */ +/* $Revision: 1.8 $ */ +/* $Date: 2006/03/31 14:18:44 $ */ diff --git a/libtommath/tommath_class.h b/libtommath/tommath_class.h index 29e36fc..166dd80 100644 --- a/libtommath/tommath_class.h +++ b/libtommath/tommath_class.h @@ -994,6 +994,6 @@ #define LTM_LAST #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/tommath_class.h,v $ */ -/* $Revision: 1.1.1.3 $ */ -/* $Date: 2005/09/26 16:32:16 $ */ +/* $Source: /cvs/libtom/libtommath/tommath_class.h,v $ */ +/* $Revision: 1.3 $ */ +/* $Date: 2005/07/28 11:59:32 $ */ diff --git a/libtommath/tommath_superclass.h b/libtommath/tommath_superclass.h index 6722510..2fdebe6 100644 --- a/libtommath/tommath_superclass.h +++ b/libtommath/tommath_superclass.h @@ -71,6 +71,6 @@ #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/tommath_superclass.h,v $ */ -/* $Revision: 1.1.1.2 $ */ -/* $Date: 2005/09/26 16:32:16 $ */ +/* $Source: /cvs/libtom/libtommath/tommath_superclass.h,v $ */ +/* $Revision: 1.3 $ */ +/* $Date: 2005/05/14 13:29:17 $ */ -- cgit v0.12 From b5c43fbc876f3a372f5d83509d70f648ae9d6b88 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 14 Mar 2011 11:51:58 +0000 Subject: Import of libtommath 0.40 --- libtommath/bn_mp_montgomery_setup.c | 2 +- libtommath/changes.txt | 4 ++++ libtommath/etc/drprimes.txt | 11 +++++++---- libtommath/makefile | 7 ++++--- libtommath/makefile.shared | 2 +- 5 files changed, 17 insertions(+), 9 deletions(-) diff --git a/libtommath/bn_mp_montgomery_setup.c b/libtommath/bn_mp_montgomery_setup.c index 261a9fb..f082749 100644 --- a/libtommath/bn_mp_montgomery_setup.c +++ b/libtommath/bn_mp_montgomery_setup.c @@ -48,7 +48,7 @@ mp_montgomery_setup (mp_int * n, mp_digit * rho) #endif /* rho = -1/m mod b */ - *rho = (((mp_word)1 << ((mp_word) DIGIT_BIT)) - x) & MP_MASK; + *rho = (unsigned long)(((mp_word)1 << ((mp_word) DIGIT_BIT)) - x) & MP_MASK; return MP_OKAY; } diff --git a/libtommath/changes.txt b/libtommath/changes.txt index 9498d36..aaaf69f 100644 --- a/libtommath/changes.txt +++ b/libtommath/changes.txt @@ -1,3 +1,7 @@ +December 24th, 2006 +v0.40 -- Updated makefile to properly support LIBNAME + -- Fixed bug in fast_s_mp_mul_high_digs() which overflowed (line 83), thanks Valgrind! + April 4th, 2006 v0.39 -- Jim Wigginton pointed out my Montgomery examples in figures 6.4 and 6.6 were off by one, k should be 9 not 8 -- Bruce Guenter suggested I use --tag=CC for libtool builds where the compiler may think it's C++. diff --git a/libtommath/etc/drprimes.txt b/libtommath/etc/drprimes.txt index 2c887ea..7c97f67 100644 --- a/libtommath/etc/drprimes.txt +++ b/libtommath/etc/drprimes.txt @@ -1,6 +1,9 @@ -280-bit prime: -p == 1942668892225729070919461906823518906642406839052139521251812409738904285204940164839 +300-bit prime: +p == 2037035976334486086268445688409378161051468393665936250636140449354381298610415201576637819 -532-bit prime: -p == 14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203368691747 +540-bit prime: +p == 3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206810991770626477344739 + +780-bit prime: +p == 6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003655947791725966271167 diff --git a/libtommath/makefile b/libtommath/makefile index e08a888..9f69678 100644 --- a/libtommath/makefile +++ b/libtommath/makefile @@ -3,7 +3,7 @@ #Tom St Denis #version of library -VERSION=0.39 +VERSION=0.40 CFLAGS += -I./ -Wall -W -Wshadow -Wsign-compare @@ -40,12 +40,13 @@ else USER=$(INSTALL_USER) endif -default: libtommath.a - #default files to install ifndef LIBNAME LIBNAME=libtommath.a endif + +default: ${LIBNAME} + HEADERS=tommath.h tommath_class.h tommath_superclass.h #LIBPATH-The directory for libtommath to be installed to. diff --git a/libtommath/makefile.shared b/libtommath/makefile.shared index 8522d44..e230fb8 100644 --- a/libtommath/makefile.shared +++ b/libtommath/makefile.shared @@ -1,7 +1,7 @@ #Makefile for GCC # #Tom St Denis -VERSION=0:39 +VERSION=0:40 CC = libtool --mode=compile --tag=CC gcc -- cgit v0.12 From b7a189417b38e35bb825490a1b9a15fc8d138333 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 14 Mar 2011 11:59:15 +0000 Subject: Import of libtommath 0.41 Import of libtommath 0.41 --- libtommath/bn.ind | 130 +++--- libtommath/bn.pdf | Bin 340921 -> 345714 bytes libtommath/bn.tex | 6 +- libtommath/bn_mp_div_d.c | 11 +- libtommath/changes.txt | 4 + libtommath/libtommath.dsp | 572 ++++++++++++++++++++++++ libtommath/logs/addsub.png | Bin 6253 -> 6254 bytes libtommath/logs/expt.png | Bin 6604 -> 6605 bytes libtommath/logs/invmod.png | Bin 4917 -> 4918 bytes libtommath/logs/mult.png | Bin 6769 -> 6770 bytes libtommath/makefile | 2 +- libtommath/makefile.shared | 2 +- libtommath/pics/expt_state.tif | Bin 87540 -> 87542 bytes libtommath/pics/primality.tif | Bin 85512 -> 85514 bytes libtommath/poster.pdf | Bin 37822 -> 37821 bytes libtommath/pre_gen/mpi.c | 963 +++++++++++++++++++++-------------------- libtommath/tommath.pdf | Bin 1194158 -> 1183099 bytes 17 files changed, 1138 insertions(+), 552 deletions(-) create mode 100644 libtommath/libtommath.dsp diff --git a/libtommath/bn.ind b/libtommath/bn.ind index e5f7d4a..c099b52 100644 --- a/libtommath/bn.ind +++ b/libtommath/bn.ind @@ -1,82 +1,82 @@ \begin{theindex} - \item mp\_add, \hyperpage{29} - \item mp\_add\_d, \hyperpage{52} - \item mp\_and, \hyperpage{29} - \item mp\_clear, \hyperpage{11} - \item mp\_clear\_multi, \hyperpage{12} - \item mp\_cmp, \hyperpage{24} - \item mp\_cmp\_d, \hyperpage{25} + \item mp\_add, \hyperpage{31} + \item mp\_add\_d, \hyperpage{56} + \item mp\_and, \hyperpage{31} + \item mp\_clear, \hyperpage{12} + \item mp\_clear\_multi, \hyperpage{13} + \item mp\_cmp, \hyperpage{25} + \item mp\_cmp\_d, \hyperpage{26} \item mp\_cmp\_mag, \hyperpage{23} - \item mp\_div, \hyperpage{30} - \item mp\_div\_2, \hyperpage{26} - \item mp\_div\_2d, \hyperpage{28} - \item mp\_div\_d, \hyperpage{52} - \item mp\_dr\_reduce, \hyperpage{40} - \item mp\_dr\_setup, \hyperpage{40} - \item MP\_EQ, \hyperpage{22} - \item mp\_error\_to\_string, \hyperpage{10} - \item mp\_expt\_d, \hyperpage{43} - \item mp\_exptmod, \hyperpage{43} - \item mp\_exteuclid, \hyperpage{51} - \item mp\_gcd, \hyperpage{51} + \item mp\_div, \hyperpage{32} + \item mp\_div\_2, \hyperpage{28} + \item mp\_div\_2d, \hyperpage{30} + \item mp\_div\_d, \hyperpage{56} + \item mp\_dr\_reduce, \hyperpage{45} + \item mp\_dr\_setup, \hyperpage{45} + \item MP\_EQ, \hyperpage{23} + \item mp\_error\_to\_string, \hyperpage{9} + \item mp\_expt\_d, \hyperpage{47} + \item mp\_exptmod, \hyperpage{47} + \item mp\_exteuclid, \hyperpage{55} + \item mp\_gcd, \hyperpage{55} \item mp\_get\_int, \hyperpage{20} - \item mp\_grow, \hyperpage{16} - \item MP\_GT, \hyperpage{22} + \item mp\_grow, \hyperpage{17} + \item MP\_GT, \hyperpage{23} \item mp\_init, \hyperpage{11} - \item mp\_init\_copy, \hyperpage{13} - \item mp\_init\_multi, \hyperpage{12} + \item mp\_init\_copy, \hyperpage{14} + \item mp\_init\_multi, \hyperpage{13} \item mp\_init\_set, \hyperpage{21} \item mp\_init\_set\_int, \hyperpage{21} - \item mp\_init\_size, \hyperpage{14} + \item mp\_init\_size, \hyperpage{15} \item mp\_int, \hyperpage{10} - \item mp\_invmod, \hyperpage{52} - \item mp\_jacobi, \hyperpage{52} - \item mp\_lcm, \hyperpage{51} - \item mp\_lshd, \hyperpage{28} - \item MP\_LT, \hyperpage{22} + \item mp\_invmod, \hyperpage{56} + \item mp\_jacobi, \hyperpage{56} + \item mp\_lcm, \hyperpage{56} + \item mp\_lshd, \hyperpage{30} + \item MP\_LT, \hyperpage{23} \item MP\_MEM, \hyperpage{9} - \item mp\_mod, \hyperpage{35} - \item mp\_mod\_d, \hyperpage{52} - \item mp\_montgomery\_calc\_normalization, \hyperpage{38} - \item mp\_montgomery\_reduce, \hyperpage{37} - \item mp\_montgomery\_setup, \hyperpage{37} - \item mp\_mul, \hyperpage{31} - \item mp\_mul\_2, \hyperpage{26} - \item mp\_mul\_2d, \hyperpage{28} - \item mp\_mul\_d, \hyperpage{52} - \item mp\_n\_root, \hyperpage{44} - \item mp\_neg, \hyperpage{29} + \item mp\_mod, \hyperpage{39} + \item mp\_mod\_d, \hyperpage{56} + \item mp\_montgomery\_calc\_normalization, \hyperpage{42} + \item mp\_montgomery\_reduce, \hyperpage{42} + \item mp\_montgomery\_setup, \hyperpage{42} + \item mp\_mul, \hyperpage{33} + \item mp\_mul\_2, \hyperpage{28} + \item mp\_mul\_2d, \hyperpage{29} + \item mp\_mul\_d, \hyperpage{56} + \item mp\_n\_root, \hyperpage{48} + \item mp\_neg, \hyperpage{31, 32} \item MP\_NO, \hyperpage{9} \item MP\_OKAY, \hyperpage{9} - \item mp\_or, \hyperpage{29} - \item mp\_prime\_fermat, \hyperpage{45} - \item mp\_prime\_is\_divisible, \hyperpage{45} - \item mp\_prime\_is\_prime, \hyperpage{46} - \item mp\_prime\_miller\_rabin, \hyperpage{45} - \item mp\_prime\_next\_prime, \hyperpage{46} - \item mp\_prime\_rabin\_miller\_trials, \hyperpage{46} - \item mp\_prime\_random, \hyperpage{47} - \item mp\_prime\_random\_ex, \hyperpage{47} - \item mp\_radix\_size, \hyperpage{49} - \item mp\_read\_radix, \hyperpage{49} - \item mp\_read\_unsigned\_bin, \hyperpage{50} - \item mp\_reduce, \hyperpage{36} - \item mp\_reduce\_2k, \hyperpage{41} - \item mp\_reduce\_2k\_setup, \hyperpage{41} - \item mp\_reduce\_setup, \hyperpage{36} - \item mp\_rshd, \hyperpage{28} + \item mp\_or, \hyperpage{31} + \item mp\_prime\_fermat, \hyperpage{49} + \item mp\_prime\_is\_divisible, \hyperpage{49} + \item mp\_prime\_is\_prime, \hyperpage{51} + \item mp\_prime\_miller\_rabin, \hyperpage{50} + \item mp\_prime\_next\_prime, \hyperpage{51} + \item mp\_prime\_rabin\_miller\_trials, \hyperpage{50} + \item mp\_prime\_random, \hyperpage{51} + \item mp\_prime\_random\_ex, \hyperpage{52} + \item mp\_radix\_size, \hyperpage{53} + \item mp\_read\_radix, \hyperpage{53} + \item mp\_read\_unsigned\_bin, \hyperpage{54} + \item mp\_reduce, \hyperpage{40} + \item mp\_reduce\_2k, \hyperpage{46} + \item mp\_reduce\_2k\_setup, \hyperpage{46} + \item mp\_reduce\_setup, \hyperpage{40} + \item mp\_rshd, \hyperpage{30} \item mp\_set, \hyperpage{19} \item mp\_set\_int, \hyperpage{20} - \item mp\_shrink, \hyperpage{15} - \item mp\_sqr, \hyperpage{33} - \item mp\_sub, \hyperpage{29} - \item mp\_sub\_d, \hyperpage{52} - \item mp\_to\_unsigned\_bin, \hyperpage{50} - \item mp\_toradix, \hyperpage{49} - \item mp\_unsigned\_bin\_size, \hyperpage{50} + \item mp\_shrink, \hyperpage{16} + \item mp\_sqr, \hyperpage{35} + \item mp\_sub, \hyperpage{31} + \item mp\_sub\_d, \hyperpage{56} + \item mp\_to\_unsigned\_bin, \hyperpage{54} + \item mp\_toradix, \hyperpage{53} + \item mp\_unsigned\_bin\_size, \hyperpage{54} \item MP\_VAL, \hyperpage{9} - \item mp\_xor, \hyperpage{29} + \item mp\_xor, \hyperpage{31} \item MP\_YES, \hyperpage{9} \end{theindex} diff --git a/libtommath/bn.pdf b/libtommath/bn.pdf index 392b649..5be7123 100644 Binary files a/libtommath/bn.pdf and b/libtommath/bn.pdf differ diff --git a/libtommath/bn.tex b/libtommath/bn.tex index e8eb994..9017860 100644 --- a/libtommath/bn.tex +++ b/libtommath/bn.tex @@ -1,4 +1,4 @@ -\documentclass[b5paper]{book} +\documentclass[synpaper]{book} \usepackage{hyperref} \usepackage{makeidx} \usepackage{amssymb} @@ -49,8 +49,8 @@ \begin{document} \frontmatter \pagestyle{empty} -\title{LibTomMath User Manual \\ v0.39} -\author{Tom St Denis \\ tomstdenis@iahu.ca} +\title{LibTomMath User Manual \\ v0.41} +\author{Tom St Denis \\ tomstdenis@gmail.com} \maketitle This text, the library and the accompanying textbook are all hereby placed in the public domain. This book has been formatted for B5 [176x250] paper using the \LaTeX{} {\em book} macro package. diff --git a/libtommath/bn_mp_div_d.c b/libtommath/bn_mp_div_d.c index d64b4b5..6a26d4f 100644 --- a/libtommath/bn_mp_div_d.c +++ b/libtommath/bn_mp_div_d.c @@ -19,7 +19,12 @@ static int s_is_power_of_two(mp_digit b, int *p) { int x; - for (x = 1; x < DIGIT_BIT; x++) { + /* fast return if no power of two */ + if ((b==0) || (b & (b-1))) { + return 0; + } + + for (x = 0; x < DIGIT_BIT; x++) { if (b == (((mp_digit)1)< +# Microsoft Developer Studio Generated Build File, Format Version 6.00 +# ** DO NOT EDIT ** + +# TARGTYPE "Win32 (x86) Static Library" 0x0104 + +CFG=libtommath - Win32 Debug +!MESSAGE This is not a valid makefile. To build this project using NMAKE, +!MESSAGE use the Export Makefile command and run +!MESSAGE +!MESSAGE NMAKE /f "libtommath.mak". +!MESSAGE +!MESSAGE You can specify a configuration when running NMAKE +!MESSAGE by defining the macro CFG on the command line. For example: +!MESSAGE +!MESSAGE NMAKE /f "libtommath.mak" CFG="libtommath - Win32 Debug" +!MESSAGE +!MESSAGE Possible choices for configuration are: +!MESSAGE +!MESSAGE "libtommath - Win32 Release" (based on "Win32 (x86) Static Library") +!MESSAGE "libtommath - Win32 Debug" (based on "Win32 (x86) Static Library") +!MESSAGE + +# Begin Project +# PROP AllowPerConfigDependencies 0 +# PROP Scc_ProjName "libtommath" +# PROP Scc_LocalPath "." +CPP=cl.exe +RSC=rc.exe + +!IF "$(CFG)" == "libtommath - Win32 Release" + +# PROP BASE Use_MFC 0 +# PROP BASE Use_Debug_Libraries 0 +# PROP BASE Output_Dir "Release" +# PROP BASE Intermediate_Dir "Release" +# PROP BASE Target_Dir "" +# PROP Use_MFC 0 +# PROP Use_Debug_Libraries 0 +# PROP Output_Dir "Release" +# PROP Intermediate_Dir "Release" +# PROP Target_Dir "" +# ADD BASE CPP /nologo /W3 /GX /O2 /D "WIN32" /D "NDEBUG" /D "_MBCS" /D "_LIB" /YX /FD /c +# ADD CPP /nologo /W3 /GX /O2 /I "." /D "WIN32" /D "NDEBUG" /D "_MBCS" /D "_LIB" /YX /FD /c +# ADD BASE RSC /l 0x409 /d "NDEBUG" +# ADD RSC /l 0x409 /d "NDEBUG" +BSC32=bscmake.exe +# ADD BASE BSC32 /nologo +# ADD BSC32 /nologo +LIB32=link.exe -lib +# ADD BASE LIB32 /nologo +# ADD LIB32 /nologo /out:"Release\tommath.lib" + +!ELSEIF "$(CFG)" == "libtommath - Win32 Debug" + +# PROP BASE Use_MFC 0 +# PROP BASE Use_Debug_Libraries 1 +# PROP BASE Output_Dir "Debug" +# PROP BASE Intermediate_Dir "Debug" +# PROP BASE Target_Dir "" +# PROP Use_MFC 0 +# PROP Use_Debug_Libraries 1 +# PROP Output_Dir "Debug" +# PROP Intermediate_Dir "Debug" +# PROP Target_Dir "" +# ADD BASE CPP /nologo /W3 /Gm /GX /ZI /Od /D "WIN32" /D "_DEBUG" /D "_MBCS" /D "_LIB" /YX /FD /GZ /c +# ADD CPP /nologo /W3 /Gm /GX /ZI /Od /I "." /D "WIN32" /D "_DEBUG" /D "_MBCS" /D "_LIB" /YX /FD /GZ /c +# ADD BASE RSC /l 0x409 /d "_DEBUG" +# ADD RSC /l 0x409 /d "_DEBUG" +BSC32=bscmake.exe +# ADD BASE BSC32 /nologo +# ADD BSC32 /nologo +LIB32=link.exe -lib +# ADD BASE LIB32 /nologo +# ADD LIB32 /nologo /out:"Debug\tommath.lib" + +!ENDIF + +# Begin Target + +# Name "libtommath - Win32 Release" +# Name "libtommath - Win32 Debug" +# Begin Source File + +SOURCE=.\bn_error.c +# End Source File +# Begin Source File + +SOURCE=.\bn_fast_mp_invmod.c +# End Source File +# Begin Source File + +SOURCE=.\bn_fast_mp_montgomery_reduce.c +# End Source File +# Begin Source File + +SOURCE=.\bn_fast_s_mp_mul_digs.c +# End Source File +# Begin Source File + +SOURCE=.\bn_fast_s_mp_mul_high_digs.c +# End Source File +# Begin Source File + +SOURCE=.\bn_fast_s_mp_sqr.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_2expt.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_abs.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_add.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_add_d.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_addmod.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_and.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_clamp.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_clear.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_clear_multi.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_cmp.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_cmp_d.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_cmp_mag.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_cnt_lsb.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_copy.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_count_bits.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_div.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_div_2.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_div_2d.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_div_3.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_div_d.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_dr_is_modulus.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_dr_reduce.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_dr_setup.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_exch.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_expt_d.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_exptmod.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_exptmod_fast.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_exteuclid.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_fread.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_fwrite.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_gcd.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_get_int.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_grow.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_init.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_init_copy.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_init_multi.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_init_set.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_init_set_int.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_init_size.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_invmod.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_invmod_slow.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_is_square.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_jacobi.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_karatsuba_mul.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_karatsuba_sqr.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_lcm.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_lshd.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_mod.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_mod_2d.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_mod_d.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_montgomery_calc_normalization.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_montgomery_reduce.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_montgomery_setup.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_mul.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_mul_2.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_mul_2d.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_mul_d.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_mulmod.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_n_root.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_neg.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_or.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_prime_fermat.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_prime_is_divisible.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_prime_is_prime.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_prime_miller_rabin.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_prime_next_prime.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_prime_rabin_miller_trials.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_prime_random_ex.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_radix_size.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_radix_smap.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_rand.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_read_radix.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_read_signed_bin.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_read_unsigned_bin.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_reduce.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_reduce_2k.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_reduce_2k_l.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_reduce_2k_setup.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_reduce_2k_setup_l.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_reduce_is_2k.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_reduce_is_2k_l.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_reduce_setup.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_rshd.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_set.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_set_int.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_shrink.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_signed_bin_size.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_sqr.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_sqrmod.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_sqrt.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_sub.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_sub_d.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_submod.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_to_signed_bin.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_to_signed_bin_n.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_to_unsigned_bin.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_to_unsigned_bin_n.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_toom_mul.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_toom_sqr.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_toradix.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_toradix_n.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_unsigned_bin_size.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_xor.c +# End Source File +# Begin Source File + +SOURCE=.\bn_mp_zero.c +# End Source File +# Begin Source File + +SOURCE=.\bn_prime_tab.c +# End Source File +# Begin Source File + +SOURCE=.\bn_reverse.c +# End Source File +# Begin Source File + +SOURCE=.\bn_s_mp_add.c +# End Source File +# Begin Source File + +SOURCE=.\bn_s_mp_exptmod.c +# End Source File +# Begin Source File + +SOURCE=.\bn_s_mp_mul_digs.c +# End Source File +# Begin Source File + +SOURCE=.\bn_s_mp_mul_high_digs.c +# End Source File +# Begin Source File + +SOURCE=.\bn_s_mp_sqr.c +# End Source File +# Begin Source File + +SOURCE=.\bn_s_mp_sub.c +# End Source File +# Begin Source File + +SOURCE=.\bncore.c +# End Source File +# Begin Source File + +SOURCE=.\tommath.h +# End Source File +# Begin Source File + +SOURCE=.\tommath_class.h +# End Source File +# Begin Source File + +SOURCE=.\tommath_superclass.h +# End Source File +# End Target +# End Project diff --git a/libtommath/logs/addsub.png b/libtommath/logs/addsub.png index 441c7b2..a5679ac 100644 Binary files a/libtommath/logs/addsub.png and b/libtommath/logs/addsub.png differ diff --git a/libtommath/logs/expt.png b/libtommath/logs/expt.png index d779cc5..9ee8bb7 100644 Binary files a/libtommath/logs/expt.png and b/libtommath/logs/expt.png differ diff --git a/libtommath/logs/invmod.png b/libtommath/logs/invmod.png index 9dcd7d8..0a8a4ad 100644 Binary files a/libtommath/logs/invmod.png and b/libtommath/logs/invmod.png differ diff --git a/libtommath/logs/mult.png b/libtommath/logs/mult.png index d22e8c8..4f7a4ee 100644 Binary files a/libtommath/logs/mult.png and b/libtommath/logs/mult.png differ diff --git a/libtommath/makefile b/libtommath/makefile index 9f69678..3e254d4 100644 --- a/libtommath/makefile +++ b/libtommath/makefile @@ -3,7 +3,7 @@ #Tom St Denis #version of library -VERSION=0.40 +VERSION=0.41 CFLAGS += -I./ -Wall -W -Wshadow -Wsign-compare diff --git a/libtommath/makefile.shared b/libtommath/makefile.shared index e230fb8..f17bbbd 100644 --- a/libtommath/makefile.shared +++ b/libtommath/makefile.shared @@ -1,7 +1,7 @@ #Makefile for GCC # #Tom St Denis -VERSION=0:40 +VERSION=0:41 CC = libtool --mode=compile --tag=CC gcc diff --git a/libtommath/pics/expt_state.tif b/libtommath/pics/expt_state.tif index 0aaee39..cb06e8e 100644 Binary files a/libtommath/pics/expt_state.tif and b/libtommath/pics/expt_state.tif differ diff --git a/libtommath/pics/primality.tif b/libtommath/pics/primality.tif index 83aafe0..76d6be3 100644 Binary files a/libtommath/pics/primality.tif and b/libtommath/pics/primality.tif differ diff --git a/libtommath/poster.pdf b/libtommath/poster.pdf index 1f705cf..f3768d7 100644 Binary files a/libtommath/poster.pdf and b/libtommath/poster.pdf differ diff --git a/libtommath/pre_gen/mpi.c b/libtommath/pre_gen/mpi.c index 62ec029..b7f4d47 100644 --- a/libtommath/pre_gen/mpi.c +++ b/libtommath/pre_gen/mpi.c @@ -13,7 +13,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ static const struct { @@ -43,9 +43,9 @@ char *mp_error_to_string(int code) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_error.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_error.c */ @@ -64,7 +64,7 @@ char *mp_error_to_string(int code) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* computes the modular inverse via binary extended euclidean algorithm, @@ -195,9 +195,9 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL); } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_fast_mp_invmod.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_fast_mp_invmod.c */ @@ -216,7 +216,7 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* computes xR**-1 == x (mod N) via Montgomery Reduction @@ -371,9 +371,9 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_fast_mp_montgomery_reduce.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_fast_mp_montgomery_reduce.c */ @@ -392,7 +392,7 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* Fast (comba) multiplier @@ -482,9 +482,9 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_fast_s_mp_mul_digs.c,v $ */ +/* $Revision: 1.8 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_fast_s_mp_mul_digs.c */ @@ -503,7 +503,7 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* this is a modified version of fast_s_mul_digs that only produces @@ -569,7 +569,7 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) register mp_digit *tmpc; tmpc = c->dp + digs; - for (ix = digs; ix <= pa; ix++) { + for (ix = digs; ix < pa; ix++) { /* now extract the previous digit [below the carry] */ *tmpc++ = W[ix]; } @@ -584,9 +584,9 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_fast_s_mp_mul_high_digs.c,v $ */ +/* $Revision: 1.6 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_fast_s_mp_mul_high_digs.c */ @@ -605,7 +605,7 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* the jist of squaring... @@ -702,9 +702,9 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_fast_s_mp_sqr.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_fast_s_mp_sqr.c */ @@ -723,7 +723,7 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* computes a = 2**b @@ -754,9 +754,9 @@ mp_2expt (mp_int * a, int b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_2expt.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_2expt.c */ @@ -775,7 +775,7 @@ mp_2expt (mp_int * a, int b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* b = |a| @@ -801,9 +801,9 @@ mp_abs (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_abs.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_abs.c */ @@ -822,7 +822,7 @@ mp_abs (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* high level addition (handles signs) */ @@ -858,9 +858,9 @@ int mp_add (mp_int * a, mp_int * b, mp_int * c) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_add.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_add.c */ @@ -879,7 +879,7 @@ int mp_add (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* single digit addition */ @@ -974,9 +974,9 @@ mp_add_d (mp_int * a, mp_digit b, mp_int * c) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_add_d.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_add_d.c */ @@ -995,7 +995,7 @@ mp_add_d (mp_int * a, mp_digit b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* d = a + b (mod c) */ @@ -1019,9 +1019,9 @@ mp_addmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_addmod.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_addmod.c */ @@ -1040,7 +1040,7 @@ mp_addmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* AND two ints together */ @@ -1080,9 +1080,9 @@ mp_and (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_and.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_and.c */ @@ -1101,7 +1101,7 @@ mp_and (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* trim unused digits @@ -1128,9 +1128,9 @@ mp_clamp (mp_int * a) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_clamp.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_clamp.c */ @@ -1149,7 +1149,7 @@ mp_clamp (mp_int * a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* clear one (frees) */ @@ -1176,9 +1176,9 @@ mp_clear (mp_int * a) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_clear.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_clear.c */ @@ -1197,7 +1197,7 @@ mp_clear (mp_int * a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ #include @@ -1214,9 +1214,9 @@ void mp_clear_multi(mp_int *mp, ...) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_clear_multi.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_clear_multi.c */ @@ -1235,7 +1235,7 @@ void mp_clear_multi(mp_int *mp, ...) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* compare two ints (signed)*/ @@ -1261,9 +1261,9 @@ mp_cmp (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_cmp.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_cmp.c */ @@ -1282,7 +1282,7 @@ mp_cmp (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* compare a digit */ @@ -1309,9 +1309,9 @@ int mp_cmp_d(mp_int * a, mp_digit b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_cmp_d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_cmp_d.c */ @@ -1330,7 +1330,7 @@ int mp_cmp_d(mp_int * a, mp_digit b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* compare maginitude of two ints (unsigned) */ @@ -1368,9 +1368,9 @@ int mp_cmp_mag (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_cmp_mag.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_cmp_mag.c */ @@ -1389,7 +1389,7 @@ int mp_cmp_mag (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ static const int lnz[16] = { @@ -1425,9 +1425,9 @@ int mp_cnt_lsb(mp_int *a) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_cnt_lsb.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_cnt_lsb.c */ @@ -1446,7 +1446,7 @@ int mp_cnt_lsb(mp_int *a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* copy, b = a */ @@ -1497,9 +1497,9 @@ mp_copy (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_copy.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_copy.c */ @@ -1518,7 +1518,7 @@ mp_copy (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* returns the number of bits in an int */ @@ -1546,9 +1546,9 @@ mp_count_bits (mp_int * a) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_count_bits.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_count_bits.c */ @@ -1567,7 +1567,7 @@ mp_count_bits (mp_int * a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ #ifdef BN_MP_DIV_SMALL @@ -1842,9 +1842,9 @@ LBL_Q:mp_clear (&q); #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_div.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_div.c */ @@ -1863,7 +1863,7 @@ LBL_Q:mp_clear (&q); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* b = a/2 */ @@ -1914,9 +1914,9 @@ int mp_div_2(mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_div_2.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_div_2.c */ @@ -1935,7 +1935,7 @@ int mp_div_2(mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* shift right by a certain bit count (store quotient in c, optional remainder in d) */ @@ -2015,9 +2015,9 @@ int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_div_2d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_div_2d.c */ @@ -2036,7 +2036,7 @@ int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* divide by three (based on routine from MPI and the GMP manual) */ @@ -2098,9 +2098,9 @@ mp_div_3 (mp_int * a, mp_int *c, mp_digit * d) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_div_3.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_div_3.c */ @@ -2119,14 +2119,19 @@ mp_div_3 (mp_int * a, mp_int *c, mp_digit * d) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ static int s_is_power_of_two(mp_digit b, int *p) { int x; - for (x = 1; x < DIGIT_BIT; x++) { + /* fast return if no power of two */ + if ((b==0) || (b & (b-1))) { + return 0; + } + + for (x = 0; x < DIGIT_BIT; x++) { if (b == (((mp_digit)1)< @@ -3514,9 +3519,9 @@ int mp_init_multi(mp_int *mp, ...) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_init_multi.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_init_multi.c */ @@ -3535,7 +3540,7 @@ int mp_init_multi(mp_int *mp, ...) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* initialize and set a digit */ @@ -3550,9 +3555,9 @@ int mp_init_set (mp_int * a, mp_digit b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_init_set.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_init_set.c */ @@ -3571,7 +3576,7 @@ int mp_init_set (mp_int * a, mp_digit b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* initialize and set a digit */ @@ -3585,9 +3590,9 @@ int mp_init_set_int (mp_int * a, unsigned long b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_init_set_int.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_init_set_int.c */ @@ -3606,7 +3611,7 @@ int mp_init_set_int (mp_int * a, unsigned long b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* init an mp_init for a given size */ @@ -3637,9 +3642,9 @@ int mp_init_size (mp_int * a, int size) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_init_size.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_init_size.c */ @@ -3658,7 +3663,7 @@ int mp_init_size (mp_int * a, int size) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* hac 14.61, pp608 */ @@ -3684,9 +3689,9 @@ int mp_invmod (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_invmod.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_invmod.c */ @@ -3705,7 +3710,7 @@ int mp_invmod (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* hac 14.61, pp608 */ @@ -3863,9 +3868,9 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_invmod_slow.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_invmod_slow.c */ @@ -3884,7 +3889,7 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* Check if remainders are possible squares - fast exclude non-squares */ @@ -3976,9 +3981,9 @@ ERR:mp_clear(&t); } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_is_square.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_is_square.c */ @@ -3997,7 +4002,7 @@ ERR:mp_clear(&t); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* computes the jacobi c = (a | n) (or Legendre if n is prime) @@ -4085,9 +4090,9 @@ LBL_A1:mp_clear (&a1); } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_jacobi.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_jacobi.c */ @@ -4106,7 +4111,7 @@ LBL_A1:mp_clear (&a1); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* c = |a| * |b| using Karatsuba Multiplication using @@ -4256,9 +4261,9 @@ ERR: } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_karatsuba_mul.c,v $ */ +/* $Revision: 1.6 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_karatsuba_mul.c */ @@ -4277,7 +4282,7 @@ ERR: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* Karatsuba squaring, computes b = a*a using three @@ -4381,9 +4386,9 @@ ERR: } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_karatsuba_sqr.c,v $ */ +/* $Revision: 1.6 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_karatsuba_sqr.c */ @@ -4402,7 +4407,7 @@ ERR: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* computes least common multiple as |a*b|/(a, b) */ @@ -4445,9 +4450,9 @@ LBL_T: } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_lcm.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_lcm.c */ @@ -4466,7 +4471,7 @@ LBL_T: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* shift left a certain amount of digits */ @@ -4516,9 +4521,9 @@ int mp_lshd (mp_int * a, int b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_lshd.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_lshd.c */ @@ -4537,7 +4542,7 @@ int mp_lshd (mp_int * a, int b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* c = a mod b, 0 <= c < b */ @@ -4568,9 +4573,9 @@ mp_mod (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_mod.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_mod.c */ @@ -4589,7 +4594,7 @@ mp_mod (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* calc a value mod 2**b */ @@ -4627,9 +4632,9 @@ mp_mod_2d (mp_int * a, int b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_mod_2d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_mod_2d.c */ @@ -4648,7 +4653,7 @@ mp_mod_2d (mp_int * a, int b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ int @@ -4658,9 +4663,9 @@ mp_mod_d (mp_int * a, mp_digit b, mp_digit * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_mod_d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_mod_d.c */ @@ -4679,7 +4684,7 @@ mp_mod_d (mp_int * a, mp_digit b, mp_digit * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* @@ -4721,9 +4726,9 @@ int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_montgomery_calc_normalization.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_montgomery_calc_normalization.c */ @@ -4742,7 +4747,7 @@ int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* computes xR**-1 == x (mod N) via Montgomery Reduction */ @@ -4843,9 +4848,9 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_montgomery_reduce.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_montgomery_reduce.c */ @@ -4864,7 +4869,7 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* setups the montgomery reduction stuff */ @@ -4900,15 +4905,15 @@ mp_montgomery_setup (mp_int * n, mp_digit * rho) #endif /* rho = -1/m mod b */ - *rho = (((mp_word)1 << ((mp_word) DIGIT_BIT)) - x) & MP_MASK; + *rho = (unsigned long)(((mp_word)1 << ((mp_word) DIGIT_BIT)) - x) & MP_MASK; return MP_OKAY; } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_montgomery_setup.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_montgomery_setup.c */ @@ -4927,7 +4932,7 @@ mp_montgomery_setup (mp_int * n, mp_digit * rho) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* high level multiplication (handles sign) */ @@ -4976,9 +4981,9 @@ int mp_mul (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_mul.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_mul.c */ @@ -4997,7 +5002,7 @@ int mp_mul (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* b = a*2 */ @@ -5062,9 +5067,9 @@ int mp_mul_2(mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_mul_2.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_mul_2.c */ @@ -5083,7 +5088,7 @@ int mp_mul_2(mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* shift left by a certain bit count */ @@ -5151,9 +5156,9 @@ int mp_mul_2d (mp_int * a, int b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_mul_2d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_mul_2d.c */ @@ -5172,7 +5177,7 @@ int mp_mul_2d (mp_int * a, int b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* multiply by a digit */ @@ -5234,9 +5239,9 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_mul_d.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_mul_d.c */ @@ -5255,7 +5260,7 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* d = a * b (mod c) */ @@ -5278,9 +5283,9 @@ int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_mulmod.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_mulmod.c */ @@ -5299,7 +5304,7 @@ int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* find the n'th root of an integer @@ -5414,9 +5419,9 @@ LBL_T1:mp_clear (&t1); } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_n_root.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_n_root.c */ @@ -5435,7 +5440,7 @@ LBL_T1:mp_clear (&t1); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* b = -a */ @@ -5458,9 +5463,9 @@ int mp_neg (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_neg.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_neg.c */ @@ -5479,7 +5484,7 @@ int mp_neg (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* OR two ints together */ @@ -5512,9 +5517,9 @@ int mp_or (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_or.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_or.c */ @@ -5533,7 +5538,7 @@ int mp_or (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* performs one Fermat test. @@ -5578,9 +5583,9 @@ LBL_T:mp_clear (&t); } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_fermat.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_prime_fermat.c */ @@ -5599,7 +5604,7 @@ LBL_T:mp_clear (&t); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* determines if an integers is divisible by one @@ -5632,9 +5637,9 @@ int mp_prime_is_divisible (mp_int * a, int *result) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_is_divisible.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_prime_is_divisible.c */ @@ -5653,7 +5658,7 @@ int mp_prime_is_divisible (mp_int * a, int *result) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* performs a variable number of rounds of Miller-Rabin @@ -5719,9 +5724,9 @@ LBL_B:mp_clear (&b); } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_is_prime.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_prime_is_prime.c */ @@ -5740,7 +5745,7 @@ LBL_B:mp_clear (&b); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* Miller-Rabin test of "a" to the base of "b" as described in @@ -5826,9 +5831,9 @@ LBL_N1:mp_clear (&n1); } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_miller_rabin.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_prime_miller_rabin.c */ @@ -5847,7 +5852,7 @@ LBL_N1:mp_clear (&n1); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* finds the next prime after the number "a" using "t" trials @@ -6000,9 +6005,9 @@ LBL_ERR: #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_next_prime.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_prime_next_prime.c */ @@ -6021,7 +6026,7 @@ LBL_ERR: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ @@ -6056,9 +6061,9 @@ int mp_prime_rabin_miller_trials(int size) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_rabin_miller_trials.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_prime_rabin_miller_trials.c */ @@ -6077,7 +6082,7 @@ int mp_prime_rabin_miller_trials(int size) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* makes a truly random prime of a given size (bits), @@ -6185,9 +6190,9 @@ error: #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_random_ex.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_prime_random_ex.c */ @@ -6206,7 +6211,7 @@ error: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* returns size of ASCII reprensentation */ @@ -6267,9 +6272,9 @@ int mp_radix_size (mp_int * a, int radix, int *size) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_radix_size.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_radix_size.c */ @@ -6288,16 +6293,16 @@ int mp_radix_size (mp_int * a, int radix, int *size) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* chars used in radix conversions */ const char *mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"; #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_radix_smap.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_radix_smap.c */ @@ -6316,7 +6321,7 @@ const char *mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrs * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* makes a pseudo-random int of a given size */ @@ -6354,9 +6359,9 @@ mp_rand (mp_int * a, int digits) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_rand.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_rand.c */ @@ -6375,7 +6380,7 @@ mp_rand (mp_int * a, int digits) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* read a string [ASCII] in a given radix */ @@ -6443,9 +6448,9 @@ int mp_read_radix (mp_int * a, const char *str, int radix) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_read_radix.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_read_radix.c */ @@ -6464,7 +6469,7 @@ int mp_read_radix (mp_int * a, const char *str, int radix) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* read signed bin, big endian, first byte is 0==positive or 1==negative */ @@ -6488,9 +6493,9 @@ int mp_read_signed_bin (mp_int * a, const unsigned char *b, int c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_read_signed_bin.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_read_signed_bin.c */ @@ -6509,7 +6514,7 @@ int mp_read_signed_bin (mp_int * a, const unsigned char *b, int c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* reads a unsigned char array, assumes the msb is stored first [big endian] */ @@ -6547,9 +6552,9 @@ int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_read_unsigned_bin.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_read_unsigned_bin.c */ @@ -6568,7 +6573,7 @@ int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* reduces x mod m, assumes 0 < x < m**2, mu is @@ -6651,9 +6656,9 @@ CLEANUP: } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_reduce.c */ @@ -6672,7 +6677,7 @@ CLEANUP: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* reduces a modulo n where n is of the form 2**p - d */ @@ -6716,9 +6721,9 @@ ERR: #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_reduce_2k.c */ @@ -6737,7 +6742,7 @@ ERR: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* reduces a modulo n where n is of the form 2**p - d @@ -6782,9 +6787,9 @@ ERR: #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k_l.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_reduce_2k_l.c */ @@ -6803,7 +6808,7 @@ ERR: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* determines the setup value */ @@ -6833,9 +6838,9 @@ int mp_reduce_2k_setup(mp_int *a, mp_digit *d) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k_setup.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_reduce_2k_setup.c */ @@ -6854,7 +6859,7 @@ int mp_reduce_2k_setup(mp_int *a, mp_digit *d) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* determines the setup value */ @@ -6881,9 +6886,9 @@ ERR: } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k_setup_l.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_reduce_2k_setup_l.c */ @@ -6902,7 +6907,7 @@ ERR: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* determines if mp_reduce_2k can be used */ @@ -6937,9 +6942,9 @@ int mp_reduce_is_2k(mp_int *a) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_is_2k.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_reduce_is_2k.c */ @@ -6958,7 +6963,7 @@ int mp_reduce_is_2k(mp_int *a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* determines if reduce_2k_l can be used */ @@ -6985,9 +6990,9 @@ int mp_reduce_is_2k_l(mp_int *a) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_is_2k_l.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_reduce_is_2k_l.c */ @@ -7006,7 +7011,7 @@ int mp_reduce_is_2k_l(mp_int *a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* pre-calculate the value required for Barrett reduction @@ -7023,9 +7028,9 @@ int mp_reduce_setup (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_setup.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_reduce_setup.c */ @@ -7044,7 +7049,7 @@ int mp_reduce_setup (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* shift right a certain amount of digits */ @@ -7099,9 +7104,9 @@ void mp_rshd (mp_int * a, int b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_rshd.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_rshd.c */ @@ -7120,7 +7125,7 @@ void mp_rshd (mp_int * a, int b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* set to a digit */ @@ -7132,9 +7137,9 @@ void mp_set (mp_int * a, mp_digit b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_set.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_set.c */ @@ -7153,7 +7158,7 @@ void mp_set (mp_int * a, mp_digit b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* set a 32-bit const */ @@ -7184,9 +7189,9 @@ int mp_set_int (mp_int * a, unsigned long b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_set_int.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_set_int.c */ @@ -7205,7 +7210,7 @@ int mp_set_int (mp_int * a, unsigned long b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* shrink a bignum */ @@ -7223,9 +7228,9 @@ int mp_shrink (mp_int * a) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_shrink.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_shrink.c */ @@ -7244,7 +7249,7 @@ int mp_shrink (mp_int * a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* get the size for an signed equivalent */ @@ -7254,9 +7259,9 @@ int mp_signed_bin_size (mp_int * a) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_signed_bin_size.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_signed_bin_size.c */ @@ -7275,7 +7280,7 @@ int mp_signed_bin_size (mp_int * a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* computes b = a*a */ @@ -7316,9 +7321,9 @@ if (a->used >= KARATSUBA_SQR_CUTOFF) { } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_sqr.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_sqr.c */ @@ -7337,7 +7342,7 @@ if (a->used >= KARATSUBA_SQR_CUTOFF) { * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* c = a * a (mod b) */ @@ -7361,9 +7366,9 @@ mp_sqrmod (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_sqrmod.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_sqrmod.c */ @@ -7382,7 +7387,7 @@ mp_sqrmod (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* this function is less generic than mp_n_root, simpler and faster */ @@ -7446,9 +7451,9 @@ E2: mp_clear(&t1); #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_sqrt.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_sqrt.c */ @@ -7467,7 +7472,7 @@ E2: mp_clear(&t1); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* high level subtraction (handles signs) */ @@ -7509,9 +7514,9 @@ mp_sub (mp_int * a, mp_int * b, mp_int * c) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_sub.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_sub.c */ @@ -7530,7 +7535,7 @@ mp_sub (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* single digit subtraction */ @@ -7606,9 +7611,9 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_sub_d.c,v $ */ +/* $Revision: 1.6 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_sub_d.c */ @@ -7627,7 +7632,7 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* d = a - b (mod c) */ @@ -7652,9 +7657,9 @@ mp_submod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_submod.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_submod.c */ @@ -7673,7 +7678,7 @@ mp_submod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* store in signed [big endian] format */ @@ -7689,9 +7694,9 @@ int mp_to_signed_bin (mp_int * a, unsigned char *b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_to_signed_bin.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_to_signed_bin.c */ @@ -7710,7 +7715,7 @@ int mp_to_signed_bin (mp_int * a, unsigned char *b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* store in signed [big endian] format */ @@ -7724,9 +7729,9 @@ int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_to_signed_bin_n.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_to_signed_bin_n.c */ @@ -7745,7 +7750,7 @@ int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* store in unsigned [big endian] format */ @@ -7776,9 +7781,9 @@ int mp_to_unsigned_bin (mp_int * a, unsigned char *b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_to_unsigned_bin.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_to_unsigned_bin.c */ @@ -7797,7 +7802,7 @@ int mp_to_unsigned_bin (mp_int * a, unsigned char *b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* store in unsigned [big endian] format */ @@ -7811,9 +7816,9 @@ int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_to_unsigned_bin_n.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_to_unsigned_bin_n.c */ @@ -7832,7 +7837,7 @@ int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* multiplication using the Toom-Cook 3-way algorithm @@ -8099,9 +8104,9 @@ ERR: #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_toom_mul.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_toom_mul.c */ @@ -8120,7 +8125,7 @@ ERR: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* squaring using Toom-Cook 3-way algorithm */ @@ -8329,9 +8334,9 @@ ERR: #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_toom_sqr.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_toom_sqr.c */ @@ -8350,7 +8355,7 @@ ERR: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* stores a bignum as a ASCII string in a given radix (2..64) */ @@ -8408,9 +8413,9 @@ int mp_toradix (mp_int * a, char *str, int radix) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_toradix.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_toradix.c */ @@ -8429,7 +8434,7 @@ int mp_toradix (mp_int * a, char *str, int radix) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* stores a bignum as a ASCII string in a given radix (2..64) @@ -8500,9 +8505,9 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_toradix_n.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_toradix_n.c */ @@ -8521,7 +8526,7 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* get the size for an unsigned equivalent */ @@ -8532,9 +8537,9 @@ int mp_unsigned_bin_size (mp_int * a) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_unsigned_bin_size.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_unsigned_bin_size.c */ @@ -8553,7 +8558,7 @@ int mp_unsigned_bin_size (mp_int * a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* XOR two ints together */ @@ -8587,9 +8592,9 @@ mp_xor (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_xor.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_xor.c */ @@ -8608,7 +8613,7 @@ mp_xor (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* set to zero */ @@ -8627,9 +8632,9 @@ void mp_zero (mp_int * a) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_mp_zero.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_mp_zero.c */ @@ -8648,7 +8653,7 @@ void mp_zero (mp_int * a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ const mp_digit ltm_prime_tab[] = { 0x0002, 0x0003, 0x0005, 0x0007, 0x000B, 0x000D, 0x0011, 0x0013, @@ -8692,9 +8697,9 @@ const mp_digit ltm_prime_tab[] = { }; #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_prime_tab.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_prime_tab.c */ @@ -8713,7 +8718,7 @@ const mp_digit ltm_prime_tab[] = { * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* reverse an array, used for radix code */ @@ -8735,9 +8740,9 @@ bn_reverse (unsigned char *s, int len) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_reverse.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_reverse.c */ @@ -8756,7 +8761,7 @@ bn_reverse (unsigned char *s, int len) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* low level addition, based on HAC pp.594, Algorithm 14.7 */ @@ -8848,9 +8853,9 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_s_mp_add.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_s_mp_add.c */ @@ -8869,7 +8874,7 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ #ifdef MP_LOW_MEM #define TAB_SIZE 32 @@ -9104,9 +9109,9 @@ LBL_M: } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_s_mp_exptmod.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_s_mp_exptmod.c */ @@ -9125,7 +9130,7 @@ LBL_M: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* multiplies |a| * |b| and only computes upto digs digits of result @@ -9198,9 +9203,9 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_s_mp_mul_digs.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_s_mp_mul_digs.c */ @@ -9219,7 +9224,7 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* multiplies |a| * |b| and does not compute the lower digs digits @@ -9283,9 +9288,9 @@ s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_s_mp_mul_high_digs.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_s_mp_mul_high_digs.c */ @@ -9304,7 +9309,7 @@ s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* low level squaring, b = a*a, HAC pp.596-597, Algorithm 14.16 */ @@ -9371,9 +9376,9 @@ int s_mp_sqr (mp_int * a, mp_int * b) } #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_s_mp_sqr.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_s_mp_sqr.c */ @@ -9392,7 +9397,7 @@ int s_mp_sqr (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* low level subtraction (assumes |a| > |b|), HAC pp.595 Algorithm 14.9 */ @@ -9464,9 +9469,9 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bn_s_mp_sub.c,v $ */ +/* $Revision: 1.4 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bn_s_mp_sub.c */ @@ -9485,7 +9490,7 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* Known optimal configurations @@ -9504,9 +9509,9 @@ int KARATSUBA_MUL_CUTOFF = 80, /* Min. number of digits before Karatsub TOOM_SQR_CUTOFF = 400; #endif -/* $Source: /root/tcl/repos-to-convert/tcl/libtommath/pre_gen/mpi.c,v $ */ -/* $Revision: 1.1.1.5 $ */ -/* $Date: 2006/12/01 00:08:34 $ */ +/* $Source: /cvs/libtom/libtommath/bncore.c,v $ */ +/* $Revision: 1.5 $ */ +/* $Date: 2006/12/28 01:25:13 $ */ /* End: bncore.c */ diff --git a/libtommath/tommath.pdf b/libtommath/tommath.pdf index c9571d8..33994c3 100644 Binary files a/libtommath/tommath.pdf and b/libtommath/tommath.pdf differ -- cgit v0.12 From fac003f85aeba679d1cc6bea4eb8a84fc0ebd9f0 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 14 Mar 2011 12:08:07 +0000 Subject: Import of tommath 0.42.0 --- libtommath/bn.ind | 156 +- libtommath/bn.pdf | Bin 345714 -> 352808 bytes libtommath/bn.tex | 2 +- libtommath/bn_error.c | 6 +- libtommath/bn_fast_mp_invmod.c | 6 +- libtommath/bn_fast_mp_montgomery_reduce.c | 6 +- libtommath/bn_fast_s_mp_mul_digs.c | 6 +- libtommath/bn_fast_s_mp_mul_high_digs.c | 6 +- libtommath/bn_fast_s_mp_sqr.c | 6 +- libtommath/bn_mp_2expt.c | 6 +- libtommath/bn_mp_abs.c | 6 +- libtommath/bn_mp_add.c | 6 +- libtommath/bn_mp_add_d.c | 6 +- libtommath/bn_mp_addmod.c | 6 +- libtommath/bn_mp_and.c | 6 +- libtommath/bn_mp_clamp.c | 6 +- libtommath/bn_mp_clear.c | 6 +- libtommath/bn_mp_clear_multi.c | 6 +- libtommath/bn_mp_cmp.c | 6 +- libtommath/bn_mp_cmp_d.c | 6 +- libtommath/bn_mp_cmp_mag.c | 6 +- libtommath/bn_mp_cnt_lsb.c | 6 +- libtommath/bn_mp_copy.c | 6 +- libtommath/bn_mp_count_bits.c | 6 +- libtommath/bn_mp_div.c | 6 +- libtommath/bn_mp_div_2.c | 6 +- libtommath/bn_mp_div_2d.c | 6 +- libtommath/bn_mp_div_3.c | 6 +- libtommath/bn_mp_div_d.c | 6 +- libtommath/bn_mp_dr_is_modulus.c | 6 +- libtommath/bn_mp_dr_reduce.c | 6 +- libtommath/bn_mp_dr_setup.c | 6 +- libtommath/bn_mp_exch.c | 6 +- libtommath/bn_mp_expt_d.c | 6 +- libtommath/bn_mp_exptmod.c | 6 +- libtommath/bn_mp_exptmod_fast.c | 6 +- libtommath/bn_mp_exteuclid.c | 6 +- libtommath/bn_mp_fread.c | 6 +- libtommath/bn_mp_fwrite.c | 6 +- libtommath/bn_mp_gcd.c | 6 +- libtommath/bn_mp_get_int.c | 6 +- libtommath/bn_mp_grow.c | 6 +- libtommath/bn_mp_init.c | 6 +- libtommath/bn_mp_init_copy.c | 6 +- libtommath/bn_mp_init_multi.c | 6 +- libtommath/bn_mp_init_set.c | 6 +- libtommath/bn_mp_init_set_int.c | 6 +- libtommath/bn_mp_init_size.c | 6 +- libtommath/bn_mp_invmod.c | 6 +- libtommath/bn_mp_invmod_slow.c | 6 +- libtommath/bn_mp_is_square.c | 6 +- libtommath/bn_mp_jacobi.c | 6 +- libtommath/bn_mp_karatsuba_mul.c | 6 +- libtommath/bn_mp_karatsuba_sqr.c | 6 +- libtommath/bn_mp_lcm.c | 6 +- libtommath/bn_mp_lshd.c | 6 +- libtommath/bn_mp_mod.c | 6 +- libtommath/bn_mp_mod_2d.c | 6 +- libtommath/bn_mp_mod_d.c | 6 +- libtommath/bn_mp_montgomery_calc_normalization.c | 6 +- libtommath/bn_mp_montgomery_reduce.c | 6 +- libtommath/bn_mp_montgomery_setup.c | 6 +- libtommath/bn_mp_mul.c | 6 +- libtommath/bn_mp_mul_2.c | 6 +- libtommath/bn_mp_mul_2d.c | 6 +- libtommath/bn_mp_mul_d.c | 6 +- libtommath/bn_mp_mulmod.c | 6 +- libtommath/bn_mp_n_root.c | 6 +- libtommath/bn_mp_neg.c | 6 +- libtommath/bn_mp_or.c | 6 +- libtommath/bn_mp_prime_fermat.c | 6 +- libtommath/bn_mp_prime_is_divisible.c | 6 +- libtommath/bn_mp_prime_is_prime.c | 6 +- libtommath/bn_mp_prime_miller_rabin.c | 6 +- libtommath/bn_mp_prime_next_prime.c | 8 +- libtommath/bn_mp_prime_rabin_miller_trials.c | 6 +- libtommath/bn_mp_prime_random_ex.c | 6 +- libtommath/bn_mp_radix_size.c | 6 +- libtommath/bn_mp_radix_smap.c | 6 +- libtommath/bn_mp_rand.c | 6 +- libtommath/bn_mp_read_radix.c | 6 +- libtommath/bn_mp_read_signed_bin.c | 6 +- libtommath/bn_mp_read_unsigned_bin.c | 6 +- libtommath/bn_mp_reduce.c | 6 +- libtommath/bn_mp_reduce_2k.c | 6 +- libtommath/bn_mp_reduce_2k_l.c | 6 +- libtommath/bn_mp_reduce_2k_setup.c | 6 +- libtommath/bn_mp_reduce_2k_setup_l.c | 6 +- libtommath/bn_mp_reduce_is_2k.c | 6 +- libtommath/bn_mp_reduce_is_2k_l.c | 6 +- libtommath/bn_mp_reduce_setup.c | 6 +- libtommath/bn_mp_rshd.c | 6 +- libtommath/bn_mp_set.c | 6 +- libtommath/bn_mp_set_int.c | 6 +- libtommath/bn_mp_shrink.c | 17 +- libtommath/bn_mp_signed_bin_size.c | 6 +- libtommath/bn_mp_sqr.c | 6 +- libtommath/bn_mp_sqrmod.c | 6 +- libtommath/bn_mp_sqrt.c | 6 +- libtommath/bn_mp_sub.c | 6 +- libtommath/bn_mp_sub_d.c | 6 +- libtommath/bn_mp_submod.c | 6 +- libtommath/bn_mp_to_signed_bin.c | 6 +- libtommath/bn_mp_to_signed_bin_n.c | 6 +- libtommath/bn_mp_to_unsigned_bin.c | 6 +- libtommath/bn_mp_to_unsigned_bin_n.c | 6 +- libtommath/bn_mp_toom_mul.c | 6 +- libtommath/bn_mp_toom_sqr.c | 6 +- libtommath/bn_mp_toradix.c | 6 +- libtommath/bn_mp_toradix_n.c | 6 +- libtommath/bn_mp_unsigned_bin_size.c | 6 +- libtommath/bn_mp_xor.c | 6 +- libtommath/bn_mp_zero.c | 6 +- libtommath/bn_prime_tab.c | 6 +- libtommath/bn_reverse.c | 6 +- libtommath/bn_s_mp_add.c | 6 +- libtommath/bn_s_mp_exptmod.c | 6 +- libtommath/bn_s_mp_mul_digs.c | 6 +- libtommath/bn_s_mp_mul_high_digs.c | 6 +- libtommath/bn_s_mp_sqr.c | 6 +- libtommath/bn_s_mp_sub.c | 6 +- libtommath/bncore.c | 6 +- libtommath/changes.txt | 6 + libtommath/demo/demo.c | 6 +- libtommath/demo/timing.c | 6 +- libtommath/etc/2kprime.c | 6 +- libtommath/etc/drprime.c | 6 +- libtommath/etc/mersenne.c | 6 +- libtommath/etc/mont.c | 6 +- libtommath/etc/pprime.c | 6 +- libtommath/etc/tune.c | 6 +- libtommath/libtommath_VS2005.sln | 20 + libtommath/libtommath_VS2005.vcproj | 2803 +++++++++++++++++++++ libtommath/libtommath_VS2008.sln | 20 + libtommath/libtommath_VS2008.vcproj | 2805 ++++++++++++++++++++++ libtommath/makefile | 2 +- libtommath/mtest/logtab.h | 6 +- libtommath/mtest/mpi-config.h | 8 +- libtommath/mtest/mpi-types.h | 6 +- libtommath/mtest/mpi.c | 8 +- libtommath/mtest/mpi.h | 8 +- libtommath/mtest/mtest.c | 6 +- libtommath/poster.pdf | Bin 37821 -> 37806 bytes libtommath/pre_gen/mpi.c | 727 +++--- libtommath/tommath.h | 6 +- libtommath/tommath.pdf | Bin 1183099 -> 1332978 bytes libtommath/tommath_class.h | 6 +- libtommath/tommath_superclass.h | 6 +- 148 files changed, 6520 insertions(+), 856 deletions(-) create mode 100755 libtommath/libtommath_VS2005.sln create mode 100755 libtommath/libtommath_VS2005.vcproj create mode 100755 libtommath/libtommath_VS2008.sln create mode 100755 libtommath/libtommath_VS2008.vcproj diff --git a/libtommath/bn.ind b/libtommath/bn.ind index c099b52..3c3d288 100644 --- a/libtommath/bn.ind +++ b/libtommath/bn.ind @@ -1,82 +1,82 @@ \begin{theindex} - \item mp\_add, \hyperpage{31} - \item mp\_add\_d, \hyperpage{56} - \item mp\_and, \hyperpage{31} - \item mp\_clear, \hyperpage{12} - \item mp\_clear\_multi, \hyperpage{13} - \item mp\_cmp, \hyperpage{25} - \item mp\_cmp\_d, \hyperpage{26} - \item mp\_cmp\_mag, \hyperpage{23} - \item mp\_div, \hyperpage{32} - \item mp\_div\_2, \hyperpage{28} - \item mp\_div\_2d, \hyperpage{30} - \item mp\_div\_d, \hyperpage{56} - \item mp\_dr\_reduce, \hyperpage{45} - \item mp\_dr\_setup, \hyperpage{45} - \item MP\_EQ, \hyperpage{23} - \item mp\_error\_to\_string, \hyperpage{9} - \item mp\_expt\_d, \hyperpage{47} - \item mp\_exptmod, \hyperpage{47} - \item mp\_exteuclid, \hyperpage{55} - \item mp\_gcd, \hyperpage{55} - \item mp\_get\_int, \hyperpage{20} - \item mp\_grow, \hyperpage{17} - \item MP\_GT, \hyperpage{23} - \item mp\_init, \hyperpage{11} - \item mp\_init\_copy, \hyperpage{14} - \item mp\_init\_multi, \hyperpage{13} - \item mp\_init\_set, \hyperpage{21} - \item mp\_init\_set\_int, \hyperpage{21} - \item mp\_init\_size, \hyperpage{15} - \item mp\_int, \hyperpage{10} - \item mp\_invmod, \hyperpage{56} - \item mp\_jacobi, \hyperpage{56} - \item mp\_lcm, \hyperpage{56} - \item mp\_lshd, \hyperpage{30} - \item MP\_LT, \hyperpage{23} - \item MP\_MEM, \hyperpage{9} - \item mp\_mod, \hyperpage{39} - \item mp\_mod\_d, \hyperpage{56} - \item mp\_montgomery\_calc\_normalization, \hyperpage{42} - \item mp\_montgomery\_reduce, \hyperpage{42} - \item mp\_montgomery\_setup, \hyperpage{42} - \item mp\_mul, \hyperpage{33} - \item mp\_mul\_2, \hyperpage{28} - \item mp\_mul\_2d, \hyperpage{29} - \item mp\_mul\_d, \hyperpage{56} - \item mp\_n\_root, \hyperpage{48} - \item mp\_neg, \hyperpage{31, 32} - \item MP\_NO, \hyperpage{9} - \item MP\_OKAY, \hyperpage{9} - \item mp\_or, \hyperpage{31} - \item mp\_prime\_fermat, \hyperpage{49} - \item mp\_prime\_is\_divisible, \hyperpage{49} - \item mp\_prime\_is\_prime, \hyperpage{51} - \item mp\_prime\_miller\_rabin, \hyperpage{50} - \item mp\_prime\_next\_prime, \hyperpage{51} - \item mp\_prime\_rabin\_miller\_trials, \hyperpage{50} - \item mp\_prime\_random, \hyperpage{51} - \item mp\_prime\_random\_ex, \hyperpage{52} - \item mp\_radix\_size, \hyperpage{53} - \item mp\_read\_radix, \hyperpage{53} - \item mp\_read\_unsigned\_bin, \hyperpage{54} - \item mp\_reduce, \hyperpage{40} - \item mp\_reduce\_2k, \hyperpage{46} - \item mp\_reduce\_2k\_setup, \hyperpage{46} - \item mp\_reduce\_setup, \hyperpage{40} - \item mp\_rshd, \hyperpage{30} - \item mp\_set, \hyperpage{19} - \item mp\_set\_int, \hyperpage{20} - \item mp\_shrink, \hyperpage{16} - \item mp\_sqr, \hyperpage{35} - \item mp\_sub, \hyperpage{31} - \item mp\_sub\_d, \hyperpage{56} - \item mp\_to\_unsigned\_bin, \hyperpage{54} - \item mp\_toradix, \hyperpage{53} - \item mp\_unsigned\_bin\_size, \hyperpage{54} - \item MP\_VAL, \hyperpage{9} - \item mp\_xor, \hyperpage{31} - \item MP\_YES, \hyperpage{9} + \item mp\_add, \hyperpage{23} + \item mp\_add\_d, \hyperpage{44} + \item mp\_and, \hyperpage{23} + \item mp\_clear, \hyperpage{9} + \item mp\_clear\_multi, \hyperpage{10} + \item mp\_cmp, \hyperpage{19} + \item mp\_cmp\_d, \hyperpage{20} + \item mp\_cmp\_mag, \hyperpage{18} + \item mp\_div, \hyperpage{24} + \item mp\_div\_2, \hyperpage{21} + \item mp\_div\_2d, \hyperpage{22} + \item mp\_div\_d, \hyperpage{44} + \item mp\_dr\_reduce, \hyperpage{33} + \item mp\_dr\_setup, \hyperpage{33} + \item MP\_EQ, \hyperpage{18} + \item mp\_error\_to\_string, \hyperpage{7} + \item mp\_expt\_d, \hyperpage{35} + \item mp\_exptmod, \hyperpage{35} + \item mp\_exteuclid, \hyperpage{43} + \item mp\_gcd, \hyperpage{43} + \item mp\_get\_int, \hyperpage{16} + \item mp\_grow, \hyperpage{13} + \item MP\_GT, \hyperpage{18} + \item mp\_init, \hyperpage{8} + \item mp\_init\_copy, \hyperpage{10} + \item mp\_init\_multi, \hyperpage{10} + \item mp\_init\_set, \hyperpage{17} + \item mp\_init\_set\_int, \hyperpage{17} + \item mp\_init\_size, \hyperpage{11} + \item mp\_int, \hyperpage{8} + \item mp\_invmod, \hyperpage{44} + \item mp\_jacobi, \hyperpage{43} + \item mp\_lcm, \hyperpage{43} + \item mp\_lshd, \hyperpage{23} + \item MP\_LT, \hyperpage{18} + \item MP\_MEM, \hyperpage{7} + \item mp\_mod, \hyperpage{29} + \item mp\_mod\_d, \hyperpage{44} + \item mp\_montgomery\_calc\_normalization, \hyperpage{31} + \item mp\_montgomery\_reduce, \hyperpage{31} + \item mp\_montgomery\_setup, \hyperpage{31} + \item mp\_mul, \hyperpage{25} + \item mp\_mul\_2, \hyperpage{21} + \item mp\_mul\_2d, \hyperpage{22} + \item mp\_mul\_d, \hyperpage{44} + \item mp\_n\_root, \hyperpage{35} + \item mp\_neg, \hyperpage{24} + \item MP\_NO, \hyperpage{7} + \item MP\_OKAY, \hyperpage{7} + \item mp\_or, \hyperpage{23} + \item mp\_prime\_fermat, \hyperpage{37} + \item mp\_prime\_is\_divisible, \hyperpage{37} + \item mp\_prime\_is\_prime, \hyperpage{38} + \item mp\_prime\_miller\_rabin, \hyperpage{37} + \item mp\_prime\_next\_prime, \hyperpage{38} + \item mp\_prime\_rabin\_miller\_trials, \hyperpage{38} + \item mp\_prime\_random, \hyperpage{38} + \item mp\_prime\_random\_ex, \hyperpage{39} + \item mp\_radix\_size, \hyperpage{41} + \item mp\_read\_radix, \hyperpage{41} + \item mp\_read\_unsigned\_bin, \hyperpage{42} + \item mp\_reduce, \hyperpage{30} + \item mp\_reduce\_2k, \hyperpage{34} + \item mp\_reduce\_2k\_setup, \hyperpage{34} + \item mp\_reduce\_setup, \hyperpage{29} + \item mp\_rshd, \hyperpage{23} + \item mp\_set, \hyperpage{15} + \item mp\_set\_int, \hyperpage{16} + \item mp\_shrink, \hyperpage{12} + \item mp\_sqr, \hyperpage{26} + \item mp\_sub, \hyperpage{23} + \item mp\_sub\_d, \hyperpage{44} + \item mp\_to\_unsigned\_bin, \hyperpage{42} + \item mp\_toradix, \hyperpage{41} + \item mp\_unsigned\_bin\_size, \hyperpage{41} + \item MP\_VAL, \hyperpage{7} + \item mp\_xor, \hyperpage{23} + \item MP\_YES, \hyperpage{7} \end{theindex} diff --git a/libtommath/bn.pdf b/libtommath/bn.pdf index 5be7123..078628c 100644 Binary files a/libtommath/bn.pdf and b/libtommath/bn.pdf differ diff --git a/libtommath/bn.tex b/libtommath/bn.tex index 9017860..71b6840 100644 --- a/libtommath/bn.tex +++ b/libtommath/bn.tex @@ -49,7 +49,7 @@ \begin{document} \frontmatter \pagestyle{empty} -\title{LibTomMath User Manual \\ v0.41} +\title{LibTomMath User Manual \\ v0.42.0} \author{Tom St Denis \\ tomstdenis@gmail.com} \maketitle This text, the library and the accompanying textbook are all hereby placed in the public domain. This book has been diff --git a/libtommath/bn_error.c b/libtommath/bn_error.c index b1b7177..250057b 100644 --- a/libtommath/bn_error.c +++ b/libtommath/bn_error.c @@ -42,6 +42,6 @@ char *mp_error_to_string(int code) #endif -/* $Source: /cvs/libtom/libtommath/bn_error.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_fast_mp_invmod.c b/libtommath/bn_fast_mp_invmod.c index ff03dff..948a134 100644 --- a/libtommath/bn_fast_mp_invmod.c +++ b/libtommath/bn_fast_mp_invmod.c @@ -143,6 +143,6 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL); } #endif -/* $Source: /cvs/libtom/libtommath/bn_fast_mp_invmod.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_fast_mp_montgomery_reduce.c b/libtommath/bn_fast_mp_montgomery_reduce.c index b6c0694..1a81689 100644 --- a/libtommath/bn_fast_mp_montgomery_reduce.c +++ b/libtommath/bn_fast_mp_montgomery_reduce.c @@ -167,6 +167,6 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) } #endif -/* $Source: /cvs/libtom/libtommath/bn_fast_mp_montgomery_reduce.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_fast_s_mp_mul_digs.c b/libtommath/bn_fast_s_mp_mul_digs.c index 91e10d6..04becfd 100644 --- a/libtommath/bn_fast_s_mp_mul_digs.c +++ b/libtommath/bn_fast_s_mp_mul_digs.c @@ -102,6 +102,6 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /cvs/libtom/libtommath/bn_fast_s_mp_mul_digs.c,v $ */ -/* $Revision: 1.8 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_fast_s_mp_mul_high_digs.c b/libtommath/bn_fast_s_mp_mul_high_digs.c index 5b114d7..98bee37 100644 --- a/libtommath/bn_fast_s_mp_mul_high_digs.c +++ b/libtommath/bn_fast_s_mp_mul_high_digs.c @@ -93,6 +93,6 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /cvs/libtom/libtommath/bn_fast_s_mp_mul_high_digs.c,v $ */ -/* $Revision: 1.6 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_fast_s_mp_sqr.c b/libtommath/bn_fast_s_mp_sqr.c index 19e92ef..086b52c 100644 --- a/libtommath/bn_fast_s_mp_sqr.c +++ b/libtommath/bn_fast_s_mp_sqr.c @@ -109,6 +109,6 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_fast_s_mp_sqr.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_2expt.c b/libtommath/bn_mp_2expt.c index f422ffc..4774aab 100644 --- a/libtommath/bn_mp_2expt.c +++ b/libtommath/bn_mp_2expt.c @@ -43,6 +43,6 @@ mp_2expt (mp_int * a, int b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_2expt.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_abs.c b/libtommath/bn_mp_abs.c index 09dd722..4d1fa44 100644 --- a/libtommath/bn_mp_abs.c +++ b/libtommath/bn_mp_abs.c @@ -38,6 +38,6 @@ mp_abs (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_abs.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_add.c b/libtommath/bn_mp_add.c index be20644..122c850 100644 --- a/libtommath/bn_mp_add.c +++ b/libtommath/bn_mp_add.c @@ -48,6 +48,6 @@ int mp_add (mp_int * a, mp_int * b, mp_int * c) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_add.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_add_d.c b/libtommath/bn_mp_add_d.c index 8ca36c1..aec8fc8 100644 --- a/libtommath/bn_mp_add_d.c +++ b/libtommath/bn_mp_add_d.c @@ -107,6 +107,6 @@ mp_add_d (mp_int * a, mp_digit b, mp_int * c) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_add_d.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_addmod.c b/libtommath/bn_mp_addmod.c index 6d8afe1..0376659 100644 --- a/libtommath/bn_mp_addmod.c +++ b/libtommath/bn_mp_addmod.c @@ -36,6 +36,6 @@ mp_addmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_addmod.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_and.c b/libtommath/bn_mp_and.c index 8ea2287..22dfbff 100644 --- a/libtommath/bn_mp_and.c +++ b/libtommath/bn_mp_and.c @@ -52,6 +52,6 @@ mp_and (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_and.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_clamp.c b/libtommath/bn_mp_clamp.c index 359c2ff..1e0c817 100644 --- a/libtommath/bn_mp_clamp.c +++ b/libtommath/bn_mp_clamp.c @@ -39,6 +39,6 @@ mp_clamp (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_clamp.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_clear.c b/libtommath/bn_mp_clear.c index a65f0a3..72301df 100644 --- a/libtommath/bn_mp_clear.c +++ b/libtommath/bn_mp_clear.c @@ -39,6 +39,6 @@ mp_clear (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_clear.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_clear_multi.c b/libtommath/bn_mp_clear_multi.c index daaea79..6bbc10c 100644 --- a/libtommath/bn_mp_clear_multi.c +++ b/libtommath/bn_mp_clear_multi.c @@ -29,6 +29,6 @@ void mp_clear_multi(mp_int *mp, ...) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_clear_multi.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_cmp.c b/libtommath/bn_mp_cmp.c index 533f36b..77d00cd 100644 --- a/libtommath/bn_mp_cmp.c +++ b/libtommath/bn_mp_cmp.c @@ -38,6 +38,6 @@ mp_cmp (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_cmp.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_cmp_d.c b/libtommath/bn_mp_cmp_d.c index 724c1c3..0d5bcb4 100644 --- a/libtommath/bn_mp_cmp_d.c +++ b/libtommath/bn_mp_cmp_d.c @@ -39,6 +39,6 @@ int mp_cmp_d(mp_int * a, mp_digit b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_cmp_d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_cmp_mag.c b/libtommath/bn_mp_cmp_mag.c index 693eb7c..063fd18 100644 --- a/libtommath/bn_mp_cmp_mag.c +++ b/libtommath/bn_mp_cmp_mag.c @@ -50,6 +50,6 @@ int mp_cmp_mag (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_cmp_mag.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_cnt_lsb.c b/libtommath/bn_mp_cnt_lsb.c index 66d1a74..efebd2a 100644 --- a/libtommath/bn_mp_cnt_lsb.c +++ b/libtommath/bn_mp_cnt_lsb.c @@ -48,6 +48,6 @@ int mp_cnt_lsb(mp_int *a) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_cnt_lsb.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_copy.c b/libtommath/bn_mp_copy.c index b0de16d..45cac61 100644 --- a/libtommath/bn_mp_copy.c +++ b/libtommath/bn_mp_copy.c @@ -63,6 +63,6 @@ mp_copy (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_copy.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_count_bits.c b/libtommath/bn_mp_count_bits.c index 8bc5657..6c02ec6 100644 --- a/libtommath/bn_mp_count_bits.c +++ b/libtommath/bn_mp_count_bits.c @@ -40,6 +40,6 @@ mp_count_bits (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_count_bits.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_div.c b/libtommath/bn_mp_div.c index aee9c94..af5c55d 100644 --- a/libtommath/bn_mp_div.c +++ b/libtommath/bn_mp_div.c @@ -287,6 +287,6 @@ LBL_Q:mp_clear (&q); #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_div.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_div_2.c b/libtommath/bn_mp_div_2.c index 7ee3e5b..64ef823 100644 --- a/libtommath/bn_mp_div_2.c +++ b/libtommath/bn_mp_div_2.c @@ -63,6 +63,6 @@ int mp_div_2(mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_div_2.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_div_2d.c b/libtommath/bn_mp_div_2d.c index 4f7fa59..72936a4 100644 --- a/libtommath/bn_mp_div_2d.c +++ b/libtommath/bn_mp_div_2d.c @@ -92,6 +92,6 @@ int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_div_2d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_div_3.c b/libtommath/bn_mp_div_3.c index 3c60269..7f6869b 100644 --- a/libtommath/bn_mp_div_3.c +++ b/libtommath/bn_mp_div_3.c @@ -74,6 +74,6 @@ mp_div_3 (mp_int * a, mp_int *c, mp_digit * d) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_div_3.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_div_d.c b/libtommath/bn_mp_div_d.c index 6a26d4f..ca34e87 100644 --- a/libtommath/bn_mp_div_d.c +++ b/libtommath/bn_mp_div_d.c @@ -110,6 +110,6 @@ int mp_div_d (mp_int * a, mp_digit b, mp_int * c, mp_digit * d) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_div_d.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2007/01/09 04:44:32 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_dr_is_modulus.c b/libtommath/bn_mp_dr_is_modulus.c index 5237344..52b4fdf 100644 --- a/libtommath/bn_mp_dr_is_modulus.c +++ b/libtommath/bn_mp_dr_is_modulus.c @@ -38,6 +38,6 @@ int mp_dr_is_modulus(mp_int *a) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_dr_is_modulus.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_dr_reduce.c b/libtommath/bn_mp_dr_reduce.c index e60b578..47f0c60 100644 --- a/libtommath/bn_mp_dr_reduce.c +++ b/libtommath/bn_mp_dr_reduce.c @@ -89,6 +89,6 @@ top: } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_dr_reduce.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_dr_setup.c b/libtommath/bn_mp_dr_setup.c index 1d7d856..99ee67d 100644 --- a/libtommath/bn_mp_dr_setup.c +++ b/libtommath/bn_mp_dr_setup.c @@ -27,6 +27,6 @@ void mp_dr_setup(mp_int *a, mp_digit *d) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_dr_setup.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_exch.c b/libtommath/bn_mp_exch.c index 38574e0..dd3098e 100644 --- a/libtommath/bn_mp_exch.c +++ b/libtommath/bn_mp_exch.c @@ -29,6 +29,6 @@ mp_exch (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_exch.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_expt_d.c b/libtommath/bn_mp_expt_d.c index 4bdc2d1..f9357cc 100644 --- a/libtommath/bn_mp_expt_d.c +++ b/libtommath/bn_mp_expt_d.c @@ -52,6 +52,6 @@ int mp_expt_d (mp_int * a, mp_digit b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_expt_d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_exptmod.c b/libtommath/bn_mp_exptmod.c index 0231916..8fbce19 100644 --- a/libtommath/bn_mp_exptmod.c +++ b/libtommath/bn_mp_exptmod.c @@ -107,6 +107,6 @@ int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_exptmod.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_exptmod_fast.c b/libtommath/bn_mp_exptmod_fast.c index 2a3b3c9..60c7e2b 100644 --- a/libtommath/bn_mp_exptmod_fast.c +++ b/libtommath/bn_mp_exptmod_fast.c @@ -316,6 +316,6 @@ LBL_M: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_exptmod_fast.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_exteuclid.c b/libtommath/bn_mp_exteuclid.c index e6c4ce2..c65928d 100644 --- a/libtommath/bn_mp_exteuclid.c +++ b/libtommath/bn_mp_exteuclid.c @@ -77,6 +77,6 @@ _ERR: mp_clear_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_exteuclid.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_fread.c b/libtommath/bn_mp_fread.c index b344b6f..a2e51a1 100644 --- a/libtommath/bn_mp_fread.c +++ b/libtommath/bn_mp_fread.c @@ -62,6 +62,6 @@ int mp_fread(mp_int *a, int radix, FILE *stream) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_fread.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_fwrite.c b/libtommath/bn_mp_fwrite.c index a0b4c6b..b3fd834 100644 --- a/libtommath/bn_mp_fwrite.c +++ b/libtommath/bn_mp_fwrite.c @@ -47,6 +47,6 @@ int mp_fwrite(mp_int *a, int radix, FILE *stream) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_fwrite.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_gcd.c b/libtommath/bn_mp_gcd.c index b39ba90..b45cfed 100644 --- a/libtommath/bn_mp_gcd.c +++ b/libtommath/bn_mp_gcd.c @@ -100,6 +100,6 @@ LBL_U:mp_clear (&v); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_gcd.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_get_int.c b/libtommath/bn_mp_get_int.c index 17162e2..11baa0e 100644 --- a/libtommath/bn_mp_get_int.c +++ b/libtommath/bn_mp_get_int.c @@ -40,6 +40,6 @@ unsigned long mp_get_int(mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_get_int.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_grow.c b/libtommath/bn_mp_grow.c index cf2b949..f1c1cab 100644 --- a/libtommath/bn_mp_grow.c +++ b/libtommath/bn_mp_grow.c @@ -52,6 +52,6 @@ int mp_grow (mp_int * a, int size) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_grow.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_init.c b/libtommath/bn_mp_init.c index 8be27f5..79cca3c 100644 --- a/libtommath/bn_mp_init.c +++ b/libtommath/bn_mp_init.c @@ -41,6 +41,6 @@ int mp_init (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_init.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_init_copy.c b/libtommath/bn_mp_init_copy.c index 0160811..8ce0ef9 100644 --- a/libtommath/bn_mp_init_copy.c +++ b/libtommath/bn_mp_init_copy.c @@ -27,6 +27,6 @@ int mp_init_copy (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_init_copy.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_init_multi.c b/libtommath/bn_mp_init_multi.c index 59dc3a9..a40ea8e 100644 --- a/libtommath/bn_mp_init_multi.c +++ b/libtommath/bn_mp_init_multi.c @@ -54,6 +54,6 @@ int mp_init_multi(mp_int *mp, ...) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_init_multi.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_init_set.c b/libtommath/bn_mp_init_set.c index 34edad9..f9b08e9 100644 --- a/libtommath/bn_mp_init_set.c +++ b/libtommath/bn_mp_init_set.c @@ -27,6 +27,6 @@ int mp_init_set (mp_int * a, mp_digit b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_init_set.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_init_set_int.c b/libtommath/bn_mp_init_set_int.c index 5c55993..9473c3f 100644 --- a/libtommath/bn_mp_init_set_int.c +++ b/libtommath/bn_mp_init_set_int.c @@ -26,6 +26,6 @@ int mp_init_set_int (mp_int * a, unsigned long b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_init_set_int.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_init_size.c b/libtommath/bn_mp_init_size.c index 8e01418..69dd49c 100644 --- a/libtommath/bn_mp_init_size.c +++ b/libtommath/bn_mp_init_size.c @@ -43,6 +43,6 @@ int mp_init_size (mp_int * a, int size) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_init_size.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_invmod.c b/libtommath/bn_mp_invmod.c index 1546514..f4bdc17 100644 --- a/libtommath/bn_mp_invmod.c +++ b/libtommath/bn_mp_invmod.c @@ -38,6 +38,6 @@ int mp_invmod (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_invmod.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_invmod_slow.c b/libtommath/bn_mp_invmod_slow.c index eedd47d..2430f02 100644 --- a/libtommath/bn_mp_invmod_slow.c +++ b/libtommath/bn_mp_invmod_slow.c @@ -170,6 +170,6 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_invmod_slow.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_is_square.c b/libtommath/bn_mp_is_square.c index 50c5244..12b9ec7 100644 --- a/libtommath/bn_mp_is_square.c +++ b/libtommath/bn_mp_is_square.c @@ -104,6 +104,6 @@ ERR:mp_clear(&t); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_is_square.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_jacobi.c b/libtommath/bn_mp_jacobi.c index 91cfeea..07a9d65 100644 --- a/libtommath/bn_mp_jacobi.c +++ b/libtommath/bn_mp_jacobi.c @@ -100,6 +100,6 @@ LBL_A1:mp_clear (&a1); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_jacobi.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_karatsuba_mul.c b/libtommath/bn_mp_karatsuba_mul.c index 8ea2c27..62e885c 100644 --- a/libtommath/bn_mp_karatsuba_mul.c +++ b/libtommath/bn_mp_karatsuba_mul.c @@ -162,6 +162,6 @@ ERR: } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_karatsuba_mul.c,v $ */ -/* $Revision: 1.6 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_karatsuba_sqr.c b/libtommath/bn_mp_karatsuba_sqr.c index a5e198b..ce5c753 100644 --- a/libtommath/bn_mp_karatsuba_sqr.c +++ b/libtommath/bn_mp_karatsuba_sqr.c @@ -116,6 +116,6 @@ ERR: } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_karatsuba_sqr.c,v $ */ -/* $Revision: 1.6 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_lcm.c b/libtommath/bn_mp_lcm.c index 781eef5..a4115da 100644 --- a/libtommath/bn_mp_lcm.c +++ b/libtommath/bn_mp_lcm.c @@ -55,6 +55,6 @@ LBL_T: } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_lcm.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_lshd.c b/libtommath/bn_mp_lshd.c index f118cf1..87c216b 100644 --- a/libtommath/bn_mp_lshd.c +++ b/libtommath/bn_mp_lshd.c @@ -62,6 +62,6 @@ int mp_lshd (mp_int * a, int b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_lshd.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_mod.c b/libtommath/bn_mp_mod.c index f5cf8d0..6828328 100644 --- a/libtommath/bn_mp_mod.c +++ b/libtommath/bn_mp_mod.c @@ -43,6 +43,6 @@ mp_mod (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mod.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_mod_2d.c b/libtommath/bn_mp_mod_2d.c index e194a06..77f13c3 100644 --- a/libtommath/bn_mp_mod_2d.c +++ b/libtommath/bn_mp_mod_2d.c @@ -50,6 +50,6 @@ mp_mod_2d (mp_int * a, int b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mod_2d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_mod_d.c b/libtommath/bn_mp_mod_d.c index 9ca37e6..4ad3d90 100644 --- a/libtommath/bn_mp_mod_d.c +++ b/libtommath/bn_mp_mod_d.c @@ -22,6 +22,6 @@ mp_mod_d (mp_int * a, mp_digit b, mp_digit * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mod_d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_montgomery_calc_normalization.c b/libtommath/bn_mp_montgomery_calc_normalization.c index c669fe0..4825ab5 100644 --- a/libtommath/bn_mp_montgomery_calc_normalization.c +++ b/libtommath/bn_mp_montgomery_calc_normalization.c @@ -54,6 +54,6 @@ int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_montgomery_calc_normalization.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_montgomery_reduce.c b/libtommath/bn_mp_montgomery_reduce.c index b765090..3c73268 100644 --- a/libtommath/bn_mp_montgomery_reduce.c +++ b/libtommath/bn_mp_montgomery_reduce.c @@ -113,6 +113,6 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_montgomery_reduce.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_montgomery_setup.c b/libtommath/bn_mp_montgomery_setup.c index f082749..0de27bb 100644 --- a/libtommath/bn_mp_montgomery_setup.c +++ b/libtommath/bn_mp_montgomery_setup.c @@ -54,6 +54,6 @@ mp_montgomery_setup (mp_int * n, mp_digit * rho) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_montgomery_setup.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_mul.c b/libtommath/bn_mp_mul.c index 8b1117a..bd75d04 100644 --- a/libtommath/bn_mp_mul.c +++ b/libtommath/bn_mp_mul.c @@ -61,6 +61,6 @@ int mp_mul (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mul.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_mul_2.c b/libtommath/bn_mp_mul_2.c index 02455fc..6ba76be 100644 --- a/libtommath/bn_mp_mul_2.c +++ b/libtommath/bn_mp_mul_2.c @@ -77,6 +77,6 @@ int mp_mul_2(mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mul_2.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_mul_2d.c b/libtommath/bn_mp_mul_2d.c index efeff2e..385ac59 100644 --- a/libtommath/bn_mp_mul_2d.c +++ b/libtommath/bn_mp_mul_2d.c @@ -80,6 +80,6 @@ int mp_mul_2d (mp_int * a, int b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mul_2d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_mul_d.c b/libtommath/bn_mp_mul_d.c index 00f9a89..13c6066 100644 --- a/libtommath/bn_mp_mul_d.c +++ b/libtommath/bn_mp_mul_d.c @@ -74,6 +74,6 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mul_d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_mulmod.c b/libtommath/bn_mp_mulmod.c index 003ceb9..eebca37 100644 --- a/libtommath/bn_mp_mulmod.c +++ b/libtommath/bn_mp_mulmod.c @@ -35,6 +35,6 @@ int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mulmod.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_n_root.c b/libtommath/bn_mp_n_root.c index 0e7bedc..e6bf725 100644 --- a/libtommath/bn_mp_n_root.c +++ b/libtommath/bn_mp_n_root.c @@ -127,6 +127,6 @@ LBL_T1:mp_clear (&t1); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_n_root.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_neg.c b/libtommath/bn_mp_neg.c index a7d035a..0e868ce 100644 --- a/libtommath/bn_mp_neg.c +++ b/libtommath/bn_mp_neg.c @@ -35,6 +35,6 @@ int mp_neg (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_neg.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_or.c b/libtommath/bn_mp_or.c index bff4995..5c2761a 100644 --- a/libtommath/bn_mp_or.c +++ b/libtommath/bn_mp_or.c @@ -45,6 +45,6 @@ int mp_or (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_or.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_prime_fermat.c b/libtommath/bn_mp_prime_fermat.c index c23d77f..fe10ab2 100644 --- a/libtommath/bn_mp_prime_fermat.c +++ b/libtommath/bn_mp_prime_fermat.c @@ -57,6 +57,6 @@ LBL_T:mp_clear (&t); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_fermat.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_prime_is_divisible.c b/libtommath/bn_mp_prime_is_divisible.c index 8e7871c..2b217ae 100644 --- a/libtommath/bn_mp_prime_is_divisible.c +++ b/libtommath/bn_mp_prime_is_divisible.c @@ -45,6 +45,6 @@ int mp_prime_is_divisible (mp_int * a, int *result) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_is_divisible.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_prime_is_prime.c b/libtommath/bn_mp_prime_is_prime.c index c316d62..09908df 100644 --- a/libtommath/bn_mp_prime_is_prime.c +++ b/libtommath/bn_mp_prime_is_prime.c @@ -78,6 +78,6 @@ LBL_B:mp_clear (&b); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_is_prime.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_prime_miller_rabin.c b/libtommath/bn_mp_prime_miller_rabin.c index ddf0358..fe88d94 100644 --- a/libtommath/bn_mp_prime_miller_rabin.c +++ b/libtommath/bn_mp_prime_miller_rabin.c @@ -98,6 +98,6 @@ LBL_N1:mp_clear (&n1); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_miller_rabin.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_prime_next_prime.c b/libtommath/bn_mp_prime_next_prime.c index daf2ec7..37a03c6 100644 --- a/libtommath/bn_mp_prime_next_prime.c +++ b/libtommath/bn_mp_prime_next_prime.c @@ -143,7 +143,7 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) /* is this prime? */ for (x = 0; x < t; x++) { - mp_set(&b, ltm_prime_tab[t]); + mp_set(&b, ltm_prime_tab[x]); if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) { goto LBL_ERR; } @@ -165,6 +165,6 @@ LBL_ERR: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_next_prime.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: v0.42.0 $ */ +/* $Date: 2010-07-15 13:49:00 +0000 $ */ diff --git a/libtommath/bn_mp_prime_rabin_miller_trials.c b/libtommath/bn_mp_prime_rabin_miller_trials.c index 248c2fd..b4fc323 100644 --- a/libtommath/bn_mp_prime_rabin_miller_trials.c +++ b/libtommath/bn_mp_prime_rabin_miller_trials.c @@ -47,6 +47,6 @@ int mp_prime_rabin_miller_trials(int size) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_rabin_miller_trials.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_prime_random_ex.c b/libtommath/bn_mp_prime_random_ex.c index 07aae4b..16d2aae 100644 --- a/libtommath/bn_mp_prime_random_ex.c +++ b/libtommath/bn_mp_prime_random_ex.c @@ -120,6 +120,6 @@ error: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_random_ex.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_radix_size.c b/libtommath/bn_mp_radix_size.c index 1b61e3a..9d95c48 100644 --- a/libtommath/bn_mp_radix_size.c +++ b/libtommath/bn_mp_radix_size.c @@ -73,6 +73,6 @@ int mp_radix_size (mp_int * a, int radix, int *size) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_radix_size.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_radix_smap.c b/libtommath/bn_mp_radix_smap.c index 7d72feb..b3abd3e 100644 --- a/libtommath/bn_mp_radix_smap.c +++ b/libtommath/bn_mp_radix_smap.c @@ -19,6 +19,6 @@ const char *mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"; #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_radix_smap.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_rand.c b/libtommath/bn_mp_rand.c index af66a67..96e4e46 100644 --- a/libtommath/bn_mp_rand.c +++ b/libtommath/bn_mp_rand.c @@ -50,6 +50,6 @@ mp_rand (mp_int * a, int digits) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_rand.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_read_radix.c b/libtommath/bn_mp_read_radix.c index 91c46c2..8ce103f 100644 --- a/libtommath/bn_mp_read_radix.c +++ b/libtommath/bn_mp_read_radix.c @@ -80,6 +80,6 @@ int mp_read_radix (mp_int * a, const char *str, int radix) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_read_radix.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_read_signed_bin.c b/libtommath/bn_mp_read_signed_bin.c index 8da651c..92924e8 100644 --- a/libtommath/bn_mp_read_signed_bin.c +++ b/libtommath/bn_mp_read_signed_bin.c @@ -36,6 +36,6 @@ int mp_read_signed_bin (mp_int * a, const unsigned char *b, int c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_read_signed_bin.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_read_unsigned_bin.c b/libtommath/bn_mp_read_unsigned_bin.c index 1ebba13..5a7fa91 100644 --- a/libtommath/bn_mp_read_unsigned_bin.c +++ b/libtommath/bn_mp_read_unsigned_bin.c @@ -50,6 +50,6 @@ int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_read_unsigned_bin.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_reduce.c b/libtommath/bn_mp_reduce.c index 21d0730..50e1eaa 100644 --- a/libtommath/bn_mp_reduce.c +++ b/libtommath/bn_mp_reduce.c @@ -95,6 +95,6 @@ CLEANUP: } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_reduce_2k.c b/libtommath/bn_mp_reduce_2k.c index d9620c2..6bbc5f1 100644 --- a/libtommath/bn_mp_reduce_2k.c +++ b/libtommath/bn_mp_reduce_2k.c @@ -56,6 +56,6 @@ ERR: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_reduce_2k_l.c b/libtommath/bn_mp_reduce_2k_l.c index f06103d..067122a 100644 --- a/libtommath/bn_mp_reduce_2k_l.c +++ b/libtommath/bn_mp_reduce_2k_l.c @@ -57,6 +57,6 @@ ERR: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k_l.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_reduce_2k_setup.c b/libtommath/bn_mp_reduce_2k_setup.c index a80e7a2..3f9ffd9 100644 --- a/libtommath/bn_mp_reduce_2k_setup.c +++ b/libtommath/bn_mp_reduce_2k_setup.c @@ -42,6 +42,6 @@ int mp_reduce_2k_setup(mp_int *a, mp_digit *d) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k_setup.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_reduce_2k_setup_l.c b/libtommath/bn_mp_reduce_2k_setup_l.c index 7cf002e..686368e 100644 --- a/libtommath/bn_mp_reduce_2k_setup_l.c +++ b/libtommath/bn_mp_reduce_2k_setup_l.c @@ -39,6 +39,6 @@ ERR: } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k_setup_l.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_reduce_is_2k.c b/libtommath/bn_mp_reduce_is_2k.c index 7308be7..08b62ff 100644 --- a/libtommath/bn_mp_reduce_is_2k.c +++ b/libtommath/bn_mp_reduce_is_2k.c @@ -47,6 +47,6 @@ int mp_reduce_is_2k(mp_int *a) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_is_2k.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_reduce_is_2k_l.c b/libtommath/bn_mp_reduce_is_2k_l.c index 14a4d21..a72e39c 100644 --- a/libtommath/bn_mp_reduce_is_2k_l.c +++ b/libtommath/bn_mp_reduce_is_2k_l.c @@ -39,6 +39,6 @@ int mp_reduce_is_2k_l(mp_int *a) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_is_2k_l.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_reduce_setup.c b/libtommath/bn_mp_reduce_setup.c index 370f20b..f017386 100644 --- a/libtommath/bn_mp_reduce_setup.c +++ b/libtommath/bn_mp_reduce_setup.c @@ -29,6 +29,6 @@ int mp_reduce_setup (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_setup.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_rshd.c b/libtommath/bn_mp_rshd.c index 2a693c5..bb506e9 100644 --- a/libtommath/bn_mp_rshd.c +++ b/libtommath/bn_mp_rshd.c @@ -67,6 +67,6 @@ void mp_rshd (mp_int * a, int b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_rshd.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_set.c b/libtommath/bn_mp_set.c index 174adcb..412673a 100644 --- a/libtommath/bn_mp_set.c +++ b/libtommath/bn_mp_set.c @@ -24,6 +24,6 @@ void mp_set (mp_int * a, mp_digit b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_set.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_set_int.c b/libtommath/bn_mp_set_int.c index cf10ea1..17cfe89 100644 --- a/libtommath/bn_mp_set_int.c +++ b/libtommath/bn_mp_set_int.c @@ -43,6 +43,6 @@ int mp_set_int (mp_int * a, unsigned long b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_set_int.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_shrink.c b/libtommath/bn_mp_shrink.c index 4b8c5ef..2bee381 100644 --- a/libtommath/bn_mp_shrink.c +++ b/libtommath/bn_mp_shrink.c @@ -19,17 +19,22 @@ int mp_shrink (mp_int * a) { mp_digit *tmp; - if (a->alloc != a->used && a->used > 0) { - if ((tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * a->used)) == NULL) { + int used = 1; + + if(a->used > 0) + used = a->used; + + if (a->alloc != used) { + if ((tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * used)) == NULL) { return MP_MEM; } a->dp = tmp; - a->alloc = a->used; + a->alloc = used; } return MP_OKAY; } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_shrink.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: v0.42.0 $ */ +/* $Date: 2010-06-02 15:09:36 +0200 $ */ diff --git a/libtommath/bn_mp_signed_bin_size.c b/libtommath/bn_mp_signed_bin_size.c index 6739d19..b28d402 100644 --- a/libtommath/bn_mp_signed_bin_size.c +++ b/libtommath/bn_mp_signed_bin_size.c @@ -22,6 +22,6 @@ int mp_signed_bin_size (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_signed_bin_size.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_sqr.c b/libtommath/bn_mp_sqr.c index 868ccbb..b085668 100644 --- a/libtommath/bn_mp_sqr.c +++ b/libtommath/bn_mp_sqr.c @@ -53,6 +53,6 @@ if (a->used >= KARATSUBA_SQR_CUTOFF) { } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_sqr.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_sqrmod.c b/libtommath/bn_mp_sqrmod.c index 161cbbb..369028b 100644 --- a/libtommath/bn_mp_sqrmod.c +++ b/libtommath/bn_mp_sqrmod.c @@ -36,6 +36,6 @@ mp_sqrmod (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_sqrmod.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_sqrt.c b/libtommath/bn_mp_sqrt.c index 8fd057c..983e41c 100644 --- a/libtommath/bn_mp_sqrt.c +++ b/libtommath/bn_mp_sqrt.c @@ -76,6 +76,6 @@ E2: mp_clear(&t1); #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_sqrt.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_sub.c b/libtommath/bn_mp_sub.c index f5015cc..3c8e5d4 100644 --- a/libtommath/bn_mp_sub.c +++ b/libtommath/bn_mp_sub.c @@ -54,6 +54,6 @@ mp_sub (mp_int * a, mp_int * b, mp_int * c) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_sub.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_sub_d.c b/libtommath/bn_mp_sub_d.c index 06cdca6..13b49bc 100644 --- a/libtommath/bn_mp_sub_d.c +++ b/libtommath/bn_mp_sub_d.c @@ -88,6 +88,6 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_sub_d.c,v $ */ -/* $Revision: 1.6 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_submod.c b/libtommath/bn_mp_submod.c index 869e23c..d919c17 100644 --- a/libtommath/bn_mp_submod.c +++ b/libtommath/bn_mp_submod.c @@ -37,6 +37,6 @@ mp_submod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_submod.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_to_signed_bin.c b/libtommath/bn_mp_to_signed_bin.c index 9df83ca..dda9285 100644 --- a/libtommath/bn_mp_to_signed_bin.c +++ b/libtommath/bn_mp_to_signed_bin.c @@ -28,6 +28,6 @@ int mp_to_signed_bin (mp_int * a, unsigned char *b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_to_signed_bin.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_to_signed_bin_n.c b/libtommath/bn_mp_to_signed_bin_n.c index 677f827..9e3b011 100644 --- a/libtommath/bn_mp_to_signed_bin_n.c +++ b/libtommath/bn_mp_to_signed_bin_n.c @@ -26,6 +26,6 @@ int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_to_signed_bin_n.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_to_unsigned_bin.c b/libtommath/bn_mp_to_unsigned_bin.c index c137f10..76072a9 100644 --- a/libtommath/bn_mp_to_unsigned_bin.c +++ b/libtommath/bn_mp_to_unsigned_bin.c @@ -43,6 +43,6 @@ int mp_to_unsigned_bin (mp_int * a, unsigned char *b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_to_unsigned_bin.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_to_unsigned_bin_n.c b/libtommath/bn_mp_to_unsigned_bin_n.c index 0dc00c6..51028d8 100644 --- a/libtommath/bn_mp_to_unsigned_bin_n.c +++ b/libtommath/bn_mp_to_unsigned_bin_n.c @@ -26,6 +26,6 @@ int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_to_unsigned_bin_n.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_toom_mul.c b/libtommath/bn_mp_toom_mul.c index ad5d9e9..e0fd772 100644 --- a/libtommath/bn_mp_toom_mul.c +++ b/libtommath/bn_mp_toom_mul.c @@ -279,6 +279,6 @@ ERR: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_toom_mul.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_toom_sqr.c b/libtommath/bn_mp_toom_sqr.c index 48880d0..9076e6f 100644 --- a/libtommath/bn_mp_toom_sqr.c +++ b/libtommath/bn_mp_toom_sqr.c @@ -221,6 +221,6 @@ ERR: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_toom_sqr.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_toradix.c b/libtommath/bn_mp_toradix.c index 0adc28d..bb95783 100644 --- a/libtommath/bn_mp_toradix.c +++ b/libtommath/bn_mp_toradix.c @@ -70,6 +70,6 @@ int mp_toradix (mp_int * a, char *str, int radix) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_toradix.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_toradix_n.c b/libtommath/bn_mp_toradix_n.c index 796ed55..7e425d6 100644 --- a/libtommath/bn_mp_toradix_n.c +++ b/libtommath/bn_mp_toradix_n.c @@ -83,6 +83,6 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_toradix_n.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_unsigned_bin_size.c b/libtommath/bn_mp_unsigned_bin_size.c index 6dc3bd5..b16fdcd 100644 --- a/libtommath/bn_mp_unsigned_bin_size.c +++ b/libtommath/bn_mp_unsigned_bin_size.c @@ -23,6 +23,6 @@ int mp_unsigned_bin_size (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_unsigned_bin_size.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_xor.c b/libtommath/bn_mp_xor.c index 59ff2e1..5744556 100644 --- a/libtommath/bn_mp_xor.c +++ b/libtommath/bn_mp_xor.c @@ -46,6 +46,6 @@ mp_xor (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_xor.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_zero.c b/libtommath/bn_mp_zero.c index b0977d4..99e6df2 100644 --- a/libtommath/bn_mp_zero.c +++ b/libtommath/bn_mp_zero.c @@ -31,6 +31,6 @@ void mp_zero (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_zero.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_prime_tab.c b/libtommath/bn_prime_tab.c index bd25247..fb5ad08 100644 --- a/libtommath/bn_prime_tab.c +++ b/libtommath/bn_prime_tab.c @@ -56,6 +56,6 @@ const mp_digit ltm_prime_tab[] = { }; #endif -/* $Source: /cvs/libtom/libtommath/bn_prime_tab.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_reverse.c b/libtommath/bn_reverse.c index ddfa827..17cdcc1 100644 --- a/libtommath/bn_reverse.c +++ b/libtommath/bn_reverse.c @@ -34,6 +34,6 @@ bn_reverse (unsigned char *s, int len) } #endif -/* $Source: /cvs/libtom/libtommath/bn_reverse.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_s_mp_add.c b/libtommath/bn_s_mp_add.c index f034ae6..0ca20b8 100644 --- a/libtommath/bn_s_mp_add.c +++ b/libtommath/bn_s_mp_add.c @@ -104,6 +104,6 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_s_mp_add.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_s_mp_exptmod.c b/libtommath/bn_s_mp_exptmod.c index 097d894..bc02a28 100644 --- a/libtommath/bn_s_mp_exptmod.c +++ b/libtommath/bn_s_mp_exptmod.c @@ -247,6 +247,6 @@ LBL_M: } #endif -/* $Source: /cvs/libtom/libtommath/bn_s_mp_exptmod.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_s_mp_mul_digs.c b/libtommath/bn_s_mp_mul_digs.c index f5bbf39..86196bf 100644 --- a/libtommath/bn_s_mp_mul_digs.c +++ b/libtommath/bn_s_mp_mul_digs.c @@ -85,6 +85,6 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /cvs/libtom/libtommath/bn_s_mp_mul_digs.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_s_mp_mul_high_digs.c b/libtommath/bn_s_mp_mul_high_digs.c index 2b718f2..019014e 100644 --- a/libtommath/bn_s_mp_mul_high_digs.c +++ b/libtommath/bn_s_mp_mul_high_digs.c @@ -76,6 +76,6 @@ s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /cvs/libtom/libtommath/bn_s_mp_mul_high_digs.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_s_mp_sqr.c b/libtommath/bn_s_mp_sqr.c index d2531c2..90c465d 100644 --- a/libtommath/bn_s_mp_sqr.c +++ b/libtommath/bn_s_mp_sqr.c @@ -79,6 +79,6 @@ int s_mp_sqr (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_s_mp_sqr.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_s_mp_sub.c b/libtommath/bn_s_mp_sub.c index 6a60c39..ccea6bd 100644 --- a/libtommath/bn_s_mp_sub.c +++ b/libtommath/bn_s_mp_sub.c @@ -84,6 +84,6 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) #endif -/* $Source: /cvs/libtom/libtommath/bn_s_mp_sub.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bncore.c b/libtommath/bncore.c index 8fb1824..1a0ac2c 100644 --- a/libtommath/bncore.c +++ b/libtommath/bncore.c @@ -31,6 +31,6 @@ int KARATSUBA_MUL_CUTOFF = 80, /* Min. number of digits before Karatsub TOOM_SQR_CUTOFF = 400; #endif -/* $Source: /cvs/libtom/libtommath/bncore.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/changes.txt b/libtommath/changes.txt index b0da4da..4fc0913 100644 --- a/libtommath/changes.txt +++ b/libtommath/changes.txt @@ -1,3 +1,9 @@ +July 23rd, 2010 +v0.42.0 + -- Fix for mp_prime_next_prime() bug when checking generated prime + -- allow mp_shrink to shrink initialized, but empty MPI's + -- Added project and solution files for Visual Studio 2005 and Visual Studio 2008. + March 10th, 2007 v0.41 -- Wolfgang Ehrhardt suggested a quick fix to mp_div_d() which makes the detection of powers of two quicker. -- [CRI] Added libtommath.dsp for Visual C++ users. diff --git a/libtommath/demo/demo.c b/libtommath/demo/demo.c index bb5eb44..3e5663b 100644 --- a/libtommath/demo/demo.c +++ b/libtommath/demo/demo.c @@ -735,6 +735,6 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } return 0; } -/* $Source: /cvs/libtom/libtommath/demo/demo.c,v $ */ -/* $Revision: 1.3 $ */ -/* $Date: 2005/06/24 11:32:07 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/demo/timing.c b/libtommath/demo/timing.c index d4660a9..57bb6d4 100644 --- a/libtommath/demo/timing.c +++ b/libtommath/demo/timing.c @@ -314,6 +314,6 @@ int main(void) return 0; } -/* $Source: /cvs/libtom/libtommath/demo/timing.c,v $ */ -/* $Revision: 1.2 $ */ -/* $Date: 2005/05/05 14:38:47 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/etc/2kprime.c b/libtommath/etc/2kprime.c index c09818f..fff4825 100644 --- a/libtommath/etc/2kprime.c +++ b/libtommath/etc/2kprime.c @@ -79,6 +79,6 @@ int main(void) -/* $Source: /cvs/libtom/libtommath/etc/2kprime.c,v $ */ -/* $Revision: 1.2 $ */ -/* $Date: 2005/05/05 14:38:47 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/etc/drprime.c b/libtommath/etc/drprime.c index e413985..ea40bd3 100644 --- a/libtommath/etc/drprime.c +++ b/libtommath/etc/drprime.c @@ -59,6 +59,6 @@ int main(void) } -/* $Source: /cvs/libtom/libtommath/etc/drprime.c,v $ */ -/* $Revision: 1.2 $ */ -/* $Date: 2005/05/05 14:38:47 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/etc/mersenne.c b/libtommath/etc/mersenne.c index 6a6497a..6f9eed2 100644 --- a/libtommath/etc/mersenne.c +++ b/libtommath/etc/mersenne.c @@ -139,6 +139,6 @@ main (void) return 0; } -/* $Source: /cvs/libtom/libtommath/etc/mersenne.c,v $ */ -/* $Revision: 1.3 $ */ -/* $Date: 2006/03/31 14:18:47 $ */ +/* $Source$ */ +/* $Revision: 0.39 $ */ +/* $Date: 2006-04-06 19:49:59 +0000 $ */ diff --git a/libtommath/etc/mont.c b/libtommath/etc/mont.c index 393be4c..8356903 100644 --- a/libtommath/etc/mont.c +++ b/libtommath/etc/mont.c @@ -45,6 +45,6 @@ int main(void) -/* $Source: /cvs/libtom/libtommath/etc/mont.c,v $ */ -/* $Revision: 1.2 $ */ -/* $Date: 2005/05/05 14:38:47 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/etc/pprime.c b/libtommath/etc/pprime.c index 317e2a0..d2d3a32 100644 --- a/libtommath/etc/pprime.c +++ b/libtommath/etc/pprime.c @@ -395,6 +395,6 @@ main (void) return 0; } -/* $Source: /cvs/libtom/libtommath/etc/pprime.c,v $ */ -/* $Revision: 1.3 $ */ -/* $Date: 2006/03/31 14:18:47 $ */ +/* $Source$ */ +/* $Revision: 0.39 $ */ +/* $Date: 2006-04-06 19:49:59 +0000 $ */ diff --git a/libtommath/etc/tune.c b/libtommath/etc/tune.c index d4a502c..0094f19 100644 --- a/libtommath/etc/tune.c +++ b/libtommath/etc/tune.c @@ -137,6 +137,6 @@ main (void) return 0; } -/* $Source: /cvs/libtom/libtommath/etc/tune.c,v $ */ -/* $Revision: 1.3 $ */ -/* $Date: 2006/03/31 14:18:47 $ */ +/* $Source$ */ +/* $Revision: 0.39 $ */ +/* $Date: 2006-04-06 19:49:59 +0000 $ */ diff --git a/libtommath/libtommath_VS2005.sln b/libtommath/libtommath_VS2005.sln new file mode 100755 index 0000000..21bc915 --- /dev/null +++ b/libtommath/libtommath_VS2005.sln @@ -0,0 +1,20 @@ + +Microsoft Visual Studio Solution File, Format Version 9.00 +# Visual Studio 2005 +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "libtommath", "libtommath_VS2005.vcproj", "{0272C9B2-D68B-4F24-B32D-C1FD552F7E51}" +EndProject +Global + GlobalSection(SolutionConfigurationPlatforms) = preSolution + Debug|Win32 = Debug|Win32 + Release|Win32 = Release|Win32 + EndGlobalSection + GlobalSection(ProjectConfigurationPlatforms) = postSolution + {0272C9B2-D68B-4F24-B32D-C1FD552F7E51}.Debug|Win32.ActiveCfg = Debug|Win32 + {0272C9B2-D68B-4F24-B32D-C1FD552F7E51}.Debug|Win32.Build.0 = Debug|Win32 + {0272C9B2-D68B-4F24-B32D-C1FD552F7E51}.Release|Win32.ActiveCfg = Release|Win32 + {0272C9B2-D68B-4F24-B32D-C1FD552F7E51}.Release|Win32.Build.0 = Release|Win32 + EndGlobalSection + GlobalSection(SolutionProperties) = preSolution + HideSolutionNode = FALSE + EndGlobalSection +EndGlobal diff --git a/libtommath/libtommath_VS2005.vcproj b/libtommath/libtommath_VS2005.vcproj new file mode 100755 index 0000000..7162185 --- /dev/null +++ b/libtommath/libtommath_VS2005.vcproj @@ -0,0 +1,2803 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/libtommath/libtommath_VS2008.sln b/libtommath/libtommath_VS2008.sln new file mode 100755 index 0000000..1327ccf --- /dev/null +++ b/libtommath/libtommath_VS2008.sln @@ -0,0 +1,20 @@ + +Microsoft Visual Studio Solution File, Format Version 10.00 +# Visual Studio 2008 +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "libtommath", "libtommath_VS2008.vcproj", "{42109FEE-B0B9-4FCD-9E56-2863BF8C55D2}" +EndProject +Global + GlobalSection(SolutionConfigurationPlatforms) = preSolution + Debug|Win32 = Debug|Win32 + Release|Win32 = Release|Win32 + EndGlobalSection + GlobalSection(ProjectConfigurationPlatforms) = postSolution + {42109FEE-B0B9-4FCD-9E56-2863BF8C55D2}.Debug|Win32.ActiveCfg = Debug|Win32 + {42109FEE-B0B9-4FCD-9E56-2863BF8C55D2}.Debug|Win32.Build.0 = Debug|Win32 + {42109FEE-B0B9-4FCD-9E56-2863BF8C55D2}.Release|Win32.ActiveCfg = Release|Win32 + {42109FEE-B0B9-4FCD-9E56-2863BF8C55D2}.Release|Win32.Build.0 = Release|Win32 + EndGlobalSection + GlobalSection(SolutionProperties) = preSolution + HideSolutionNode = FALSE + EndGlobalSection +EndGlobal diff --git a/libtommath/libtommath_VS2008.vcproj b/libtommath/libtommath_VS2008.vcproj new file mode 100755 index 0000000..205aec1 --- /dev/null +++ b/libtommath/libtommath_VS2008.vcproj @@ -0,0 +1,2805 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/libtommath/makefile b/libtommath/makefile index 3e254d4..70de306 100644 --- a/libtommath/makefile +++ b/libtommath/makefile @@ -3,7 +3,7 @@ #Tom St Denis #version of library -VERSION=0.41 +VERSION=0.42.0 CFLAGS += -I./ -Wall -W -Wshadow -Wsign-compare diff --git a/libtommath/mtest/logtab.h b/libtommath/mtest/logtab.h index bbefaef..04c1ad3 100644 --- a/libtommath/mtest/logtab.h +++ b/libtommath/mtest/logtab.h @@ -19,6 +19,6 @@ const float s_logv_2[] = { }; -/* $Source: /cvs/libtom/libtommath/mtest/logtab.h,v $ */ -/* $Revision: 1.2 $ */ -/* $Date: 2005/05/05 14:38:47 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/mtest/mpi-config.h b/libtommath/mtest/mpi-config.h index 6049c25..21e72b2 100644 --- a/libtommath/mtest/mpi-config.h +++ b/libtommath/mtest/mpi-config.h @@ -1,5 +1,5 @@ /* Default configuration for MPI library */ -/* $Id: mpi-config.h,v 1.2 2005/05/05 14:38:47 tom Exp $ */ +/* $ID$ */ #ifndef MPI_CONFIG_H_ #define MPI_CONFIG_H_ @@ -85,6 +85,6 @@ /* crc==3287762869, version==2, Sat Feb 02 06:43:53 2002 */ -/* $Source: /cvs/libtom/libtommath/mtest/mpi-config.h,v $ */ -/* $Revision: 1.2 $ */ -/* $Date: 2005/05/05 14:38:47 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/mtest/mpi-types.h b/libtommath/mtest/mpi-types.h index 026de58..a90f11e 100644 --- a/libtommath/mtest/mpi-types.h +++ b/libtommath/mtest/mpi-types.h @@ -15,6 +15,6 @@ typedef int mp_err; #define RADIX (MP_DIGIT_MAX+1) -/* $Source: /cvs/libtom/libtommath/mtest/mpi-types.h,v $ */ -/* $Revision: 1.2 $ */ -/* $Date: 2005/05/05 14:38:47 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/mtest/mpi.c b/libtommath/mtest/mpi.c index 7c712dd..f6ef8c7 100644 --- a/libtommath/mtest/mpi.c +++ b/libtommath/mtest/mpi.c @@ -6,7 +6,7 @@ Arbitrary precision integer arithmetic library - $Id: mpi.c,v 1.2 2005/05/05 14:38:47 tom Exp $ + $ID$ */ #include "mpi.h" @@ -3980,6 +3980,6 @@ int s_mp_outlen(int bits, int r) /* HERE THERE BE DRAGONS */ /* crc==4242132123, version==2, Sat Feb 02 06:43:52 2002 */ -/* $Source: /cvs/libtom/libtommath/mtest/mpi.c,v $ */ -/* $Revision: 1.2 $ */ -/* $Date: 2005/05/05 14:38:47 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/mtest/mpi.h b/libtommath/mtest/mpi.h index 66ae873..526c3fd 100644 --- a/libtommath/mtest/mpi.h +++ b/libtommath/mtest/mpi.h @@ -6,7 +6,7 @@ Arbitrary precision integer arithmetic library - $Id: mpi.h,v 1.2 2005/05/05 14:38:47 tom Exp $ + $ID$ */ #ifndef _H_MPI_ @@ -226,6 +226,6 @@ const char *mp_strerror(mp_err ec); #endif /* end _H_MPI_ */ -/* $Source: /cvs/libtom/libtommath/mtest/mpi.h,v $ */ -/* $Revision: 1.2 $ */ -/* $Date: 2005/05/05 14:38:47 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/mtest/mtest.c b/libtommath/mtest/mtest.c index bdfe612..92f03ad 100644 --- a/libtommath/mtest/mtest.c +++ b/libtommath/mtest/mtest.c @@ -303,6 +303,6 @@ int main(void) return 0; } -/* $Source: /cvs/libtom/libtommath/mtest/mtest.c,v $ */ -/* $Revision: 1.2 $ */ -/* $Date: 2005/05/05 14:38:47 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/poster.pdf b/libtommath/poster.pdf index f3768d7..dc80fbb 100644 Binary files a/libtommath/poster.pdf and b/libtommath/poster.pdf differ diff --git a/libtommath/pre_gen/mpi.c b/libtommath/pre_gen/mpi.c index b7f4d47..7ba9d83 100644 --- a/libtommath/pre_gen/mpi.c +++ b/libtommath/pre_gen/mpi.c @@ -43,9 +43,9 @@ char *mp_error_to_string(int code) #endif -/* $Source: /cvs/libtom/libtommath/bn_error.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_error.c */ @@ -195,9 +195,9 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL); } #endif -/* $Source: /cvs/libtom/libtommath/bn_fast_mp_invmod.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_fast_mp_invmod.c */ @@ -371,9 +371,9 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) } #endif -/* $Source: /cvs/libtom/libtommath/bn_fast_mp_montgomery_reduce.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_fast_mp_montgomery_reduce.c */ @@ -482,9 +482,9 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /cvs/libtom/libtommath/bn_fast_s_mp_mul_digs.c,v $ */ -/* $Revision: 1.8 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_fast_s_mp_mul_digs.c */ @@ -584,9 +584,9 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /cvs/libtom/libtommath/bn_fast_s_mp_mul_high_digs.c,v $ */ -/* $Revision: 1.6 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_fast_s_mp_mul_high_digs.c */ @@ -702,9 +702,9 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_fast_s_mp_sqr.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_fast_s_mp_sqr.c */ @@ -754,9 +754,9 @@ mp_2expt (mp_int * a, int b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_2expt.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_2expt.c */ @@ -801,9 +801,9 @@ mp_abs (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_abs.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_abs.c */ @@ -858,9 +858,9 @@ int mp_add (mp_int * a, mp_int * b, mp_int * c) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_add.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_add.c */ @@ -974,9 +974,9 @@ mp_add_d (mp_int * a, mp_digit b, mp_int * c) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_add_d.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_add_d.c */ @@ -1019,9 +1019,9 @@ mp_addmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_addmod.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_addmod.c */ @@ -1080,9 +1080,9 @@ mp_and (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_and.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_and.c */ @@ -1128,9 +1128,9 @@ mp_clamp (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_clamp.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_clamp.c */ @@ -1176,9 +1176,9 @@ mp_clear (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_clear.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_clear.c */ @@ -1214,9 +1214,9 @@ void mp_clear_multi(mp_int *mp, ...) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_clear_multi.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_clear_multi.c */ @@ -1261,9 +1261,9 @@ mp_cmp (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_cmp.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_cmp.c */ @@ -1309,9 +1309,9 @@ int mp_cmp_d(mp_int * a, mp_digit b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_cmp_d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_cmp_d.c */ @@ -1368,9 +1368,9 @@ int mp_cmp_mag (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_cmp_mag.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_cmp_mag.c */ @@ -1425,9 +1425,9 @@ int mp_cnt_lsb(mp_int *a) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_cnt_lsb.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_cnt_lsb.c */ @@ -1497,9 +1497,9 @@ mp_copy (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_copy.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_copy.c */ @@ -1546,9 +1546,9 @@ mp_count_bits (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_count_bits.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_count_bits.c */ @@ -1842,9 +1842,9 @@ LBL_Q:mp_clear (&q); #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_div.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_div.c */ @@ -1914,9 +1914,9 @@ int mp_div_2(mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_div_2.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_div_2.c */ @@ -2015,9 +2015,9 @@ int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_div_2d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_div_2d.c */ @@ -2098,9 +2098,9 @@ mp_div_3 (mp_int * a, mp_int *c, mp_digit * d) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_div_3.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_div_3.c */ @@ -2217,9 +2217,9 @@ int mp_div_d (mp_int * a, mp_digit b, mp_int * c, mp_digit * d) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_div_d.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2007/01/09 04:44:32 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_div_d.c */ @@ -2264,9 +2264,9 @@ int mp_dr_is_modulus(mp_int *a) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_dr_is_modulus.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_dr_is_modulus.c */ @@ -2362,9 +2362,9 @@ top: } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_dr_reduce.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_dr_reduce.c */ @@ -2398,9 +2398,9 @@ void mp_dr_setup(mp_int *a, mp_digit *d) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_dr_setup.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_dr_setup.c */ @@ -2436,9 +2436,9 @@ mp_exch (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_exch.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_exch.c */ @@ -2497,9 +2497,9 @@ int mp_expt_d (mp_int * a, mp_digit b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_expt_d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_expt_d.c */ @@ -2613,9 +2613,9 @@ int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_exptmod.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_exptmod.c */ @@ -2938,9 +2938,9 @@ LBL_M: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_exptmod_fast.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_exptmod_fast.c */ @@ -3024,9 +3024,9 @@ _ERR: mp_clear_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_exteuclid.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_exteuclid.c */ @@ -3095,9 +3095,9 @@ int mp_fread(mp_int *a, int radix, FILE *stream) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_fread.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_fread.c */ @@ -3151,9 +3151,9 @@ int mp_fwrite(mp_int *a, int radix, FILE *stream) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_fwrite.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_fwrite.c */ @@ -3260,9 +3260,9 @@ LBL_U:mp_clear (&v); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_gcd.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_gcd.c */ @@ -3309,9 +3309,9 @@ unsigned long mp_get_int(mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_get_int.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_get_int.c */ @@ -3370,9 +3370,9 @@ int mp_grow (mp_int * a, int size) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_grow.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_grow.c */ @@ -3420,9 +3420,9 @@ int mp_init (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_init.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_init.c */ @@ -3456,9 +3456,9 @@ int mp_init_copy (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_init_copy.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_init_copy.c */ @@ -3519,9 +3519,9 @@ int mp_init_multi(mp_int *mp, ...) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_init_multi.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_init_multi.c */ @@ -3555,9 +3555,9 @@ int mp_init_set (mp_int * a, mp_digit b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_init_set.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_init_set.c */ @@ -3590,9 +3590,9 @@ int mp_init_set_int (mp_int * a, unsigned long b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_init_set_int.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_init_set_int.c */ @@ -3642,9 +3642,9 @@ int mp_init_size (mp_int * a, int size) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_init_size.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_init_size.c */ @@ -3689,9 +3689,9 @@ int mp_invmod (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_invmod.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_invmod.c */ @@ -3868,9 +3868,9 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_invmod_slow.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_invmod_slow.c */ @@ -3981,9 +3981,9 @@ ERR:mp_clear(&t); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_is_square.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_is_square.c */ @@ -4090,9 +4090,9 @@ LBL_A1:mp_clear (&a1); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_jacobi.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_jacobi.c */ @@ -4261,9 +4261,9 @@ ERR: } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_karatsuba_mul.c,v $ */ -/* $Revision: 1.6 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_karatsuba_mul.c */ @@ -4386,9 +4386,9 @@ ERR: } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_karatsuba_sqr.c,v $ */ -/* $Revision: 1.6 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_karatsuba_sqr.c */ @@ -4450,9 +4450,9 @@ LBL_T: } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_lcm.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_lcm.c */ @@ -4521,9 +4521,9 @@ int mp_lshd (mp_int * a, int b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_lshd.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_lshd.c */ @@ -4573,9 +4573,9 @@ mp_mod (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mod.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_mod.c */ @@ -4632,9 +4632,9 @@ mp_mod_2d (mp_int * a, int b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mod_2d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_mod_2d.c */ @@ -4663,9 +4663,9 @@ mp_mod_d (mp_int * a, mp_digit b, mp_digit * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mod_d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_mod_d.c */ @@ -4726,9 +4726,9 @@ int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_montgomery_calc_normalization.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_montgomery_calc_normalization.c */ @@ -4848,9 +4848,9 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_montgomery_reduce.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_montgomery_reduce.c */ @@ -4911,9 +4911,9 @@ mp_montgomery_setup (mp_int * n, mp_digit * rho) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_montgomery_setup.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_montgomery_setup.c */ @@ -4981,9 +4981,9 @@ int mp_mul (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mul.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_mul.c */ @@ -5067,9 +5067,9 @@ int mp_mul_2(mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mul_2.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_mul_2.c */ @@ -5156,9 +5156,9 @@ int mp_mul_2d (mp_int * a, int b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mul_2d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_mul_2d.c */ @@ -5239,9 +5239,9 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mul_d.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_mul_d.c */ @@ -5283,9 +5283,9 @@ int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_mulmod.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_mulmod.c */ @@ -5419,9 +5419,9 @@ LBL_T1:mp_clear (&t1); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_n_root.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_n_root.c */ @@ -5463,9 +5463,9 @@ int mp_neg (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_neg.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_neg.c */ @@ -5517,9 +5517,9 @@ int mp_or (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_or.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_or.c */ @@ -5583,9 +5583,9 @@ LBL_T:mp_clear (&t); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_fermat.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_prime_fermat.c */ @@ -5637,9 +5637,9 @@ int mp_prime_is_divisible (mp_int * a, int *result) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_is_divisible.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_prime_is_divisible.c */ @@ -5724,9 +5724,9 @@ LBL_B:mp_clear (&b); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_is_prime.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_prime_is_prime.c */ @@ -5831,9 +5831,9 @@ LBL_N1:mp_clear (&n1); } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_miller_rabin.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_prime_miller_rabin.c */ @@ -5983,7 +5983,7 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) /* is this prime? */ for (x = 0; x < t; x++) { - mp_set(&b, ltm_prime_tab[t]); + mp_set(&b, ltm_prime_tab[x]); if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) { goto LBL_ERR; } @@ -6005,9 +6005,9 @@ LBL_ERR: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_next_prime.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: v0.42.0 $ */ +/* $Date: 2010-07-15 13:49:00 +0000 $ */ /* End: bn_mp_prime_next_prime.c */ @@ -6061,9 +6061,9 @@ int mp_prime_rabin_miller_trials(int size) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_rabin_miller_trials.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_prime_rabin_miller_trials.c */ @@ -6190,9 +6190,9 @@ error: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_prime_random_ex.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_prime_random_ex.c */ @@ -6272,9 +6272,9 @@ int mp_radix_size (mp_int * a, int radix, int *size) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_radix_size.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_radix_size.c */ @@ -6300,9 +6300,9 @@ int mp_radix_size (mp_int * a, int radix, int *size) const char *mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"; #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_radix_smap.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_radix_smap.c */ @@ -6359,9 +6359,9 @@ mp_rand (mp_int * a, int digits) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_rand.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_rand.c */ @@ -6448,9 +6448,9 @@ int mp_read_radix (mp_int * a, const char *str, int radix) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_read_radix.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_read_radix.c */ @@ -6493,9 +6493,9 @@ int mp_read_signed_bin (mp_int * a, const unsigned char *b, int c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_read_signed_bin.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_read_signed_bin.c */ @@ -6552,9 +6552,9 @@ int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_read_unsigned_bin.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_read_unsigned_bin.c */ @@ -6656,9 +6656,9 @@ CLEANUP: } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_reduce.c */ @@ -6721,9 +6721,9 @@ ERR: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_reduce_2k.c */ @@ -6787,9 +6787,9 @@ ERR: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k_l.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_reduce_2k_l.c */ @@ -6838,9 +6838,9 @@ int mp_reduce_2k_setup(mp_int *a, mp_digit *d) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k_setup.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_reduce_2k_setup.c */ @@ -6886,9 +6886,9 @@ ERR: } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_2k_setup_l.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_reduce_2k_setup_l.c */ @@ -6942,9 +6942,9 @@ int mp_reduce_is_2k(mp_int *a) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_is_2k.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_reduce_is_2k.c */ @@ -6990,9 +6990,9 @@ int mp_reduce_is_2k_l(mp_int *a) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_is_2k_l.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_reduce_is_2k_l.c */ @@ -7028,9 +7028,9 @@ int mp_reduce_setup (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_reduce_setup.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_reduce_setup.c */ @@ -7104,9 +7104,9 @@ void mp_rshd (mp_int * a, int b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_rshd.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_rshd.c */ @@ -7137,9 +7137,9 @@ void mp_set (mp_int * a, mp_digit b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_set.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_set.c */ @@ -7189,9 +7189,9 @@ int mp_set_int (mp_int * a, unsigned long b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_set_int.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_set_int.c */ @@ -7217,20 +7217,25 @@ int mp_set_int (mp_int * a, unsigned long b) int mp_shrink (mp_int * a) { mp_digit *tmp; - if (a->alloc != a->used && a->used > 0) { - if ((tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * a->used)) == NULL) { + int used = 1; + + if(a->used > 0) + used = a->used; + + if (a->alloc != used) { + if ((tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * used)) == NULL) { return MP_MEM; } a->dp = tmp; - a->alloc = a->used; + a->alloc = used; } return MP_OKAY; } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_shrink.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: v0.42.0 $ */ +/* $Date: 2010-06-02 15:09:36 +0200 $ */ /* End: bn_mp_shrink.c */ @@ -7259,9 +7264,9 @@ int mp_signed_bin_size (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_signed_bin_size.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_signed_bin_size.c */ @@ -7321,9 +7326,9 @@ if (a->used >= KARATSUBA_SQR_CUTOFF) { } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_sqr.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_sqr.c */ @@ -7366,9 +7371,9 @@ mp_sqrmod (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_sqrmod.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_sqrmod.c */ @@ -7451,9 +7456,9 @@ E2: mp_clear(&t1); #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_sqrt.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_sqrt.c */ @@ -7514,9 +7519,9 @@ mp_sub (mp_int * a, mp_int * b, mp_int * c) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_sub.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_sub.c */ @@ -7611,9 +7616,9 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_sub_d.c,v $ */ -/* $Revision: 1.6 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_sub_d.c */ @@ -7657,9 +7662,9 @@ mp_submod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_submod.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_submod.c */ @@ -7694,9 +7699,9 @@ int mp_to_signed_bin (mp_int * a, unsigned char *b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_to_signed_bin.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_to_signed_bin.c */ @@ -7729,9 +7734,9 @@ int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_to_signed_bin_n.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_to_signed_bin_n.c */ @@ -7781,9 +7786,9 @@ int mp_to_unsigned_bin (mp_int * a, unsigned char *b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_to_unsigned_bin.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_to_unsigned_bin.c */ @@ -7816,9 +7821,9 @@ int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_to_unsigned_bin_n.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_to_unsigned_bin_n.c */ @@ -8104,9 +8109,9 @@ ERR: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_toom_mul.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_toom_mul.c */ @@ -8334,9 +8339,9 @@ ERR: #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_toom_sqr.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_toom_sqr.c */ @@ -8413,9 +8418,9 @@ int mp_toradix (mp_int * a, char *str, int radix) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_toradix.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_toradix.c */ @@ -8505,9 +8510,9 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_toradix_n.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_toradix_n.c */ @@ -8537,9 +8542,9 @@ int mp_unsigned_bin_size (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_unsigned_bin_size.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_unsigned_bin_size.c */ @@ -8592,9 +8597,9 @@ mp_xor (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_xor.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_xor.c */ @@ -8632,9 +8637,9 @@ void mp_zero (mp_int * a) } #endif -/* $Source: /cvs/libtom/libtommath/bn_mp_zero.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_mp_zero.c */ @@ -8697,9 +8702,9 @@ const mp_digit ltm_prime_tab[] = { }; #endif -/* $Source: /cvs/libtom/libtommath/bn_prime_tab.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_prime_tab.c */ @@ -8740,9 +8745,9 @@ bn_reverse (unsigned char *s, int len) } #endif -/* $Source: /cvs/libtom/libtommath/bn_reverse.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_reverse.c */ @@ -8853,9 +8858,9 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) } #endif -/* $Source: /cvs/libtom/libtommath/bn_s_mp_add.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_s_mp_add.c */ @@ -9109,9 +9114,9 @@ LBL_M: } #endif -/* $Source: /cvs/libtom/libtommath/bn_s_mp_exptmod.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_s_mp_exptmod.c */ @@ -9203,9 +9208,9 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /cvs/libtom/libtommath/bn_s_mp_mul_digs.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_s_mp_mul_digs.c */ @@ -9288,9 +9293,9 @@ s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) } #endif -/* $Source: /cvs/libtom/libtommath/bn_s_mp_mul_high_digs.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_s_mp_mul_high_digs.c */ @@ -9376,9 +9381,9 @@ int s_mp_sqr (mp_int * a, mp_int * b) } #endif -/* $Source: /cvs/libtom/libtommath/bn_s_mp_sqr.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_s_mp_sqr.c */ @@ -9469,9 +9474,9 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) #endif -/* $Source: /cvs/libtom/libtommath/bn_s_mp_sub.c,v $ */ -/* $Revision: 1.4 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bn_s_mp_sub.c */ @@ -9509,9 +9514,9 @@ int KARATSUBA_MUL_CUTOFF = 80, /* Min. number of digits before Karatsub TOOM_SQR_CUTOFF = 400; #endif -/* $Source: /cvs/libtom/libtommath/bncore.c,v $ */ -/* $Revision: 1.5 $ */ -/* $Date: 2006/12/28 01:25:13 $ */ +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ /* End: bncore.c */ diff --git a/libtommath/tommath.h b/libtommath/tommath.h index 3c00b9e..cf9c499 100644 --- a/libtommath/tommath.h +++ b/libtommath/tommath.h @@ -579,6 +579,6 @@ extern const char *mp_s_rmap; #endif -/* $Source: /cvs/libtom/libtommath/tommath.h,v $ */ -/* $Revision: 1.8 $ */ -/* $Date: 2006/03/31 14:18:44 $ */ +/* $Source$ */ +/* $Revision: 0.39 $ */ +/* $Date: 2006-04-06 19:49:59 +0000 $ */ diff --git a/libtommath/tommath.pdf b/libtommath/tommath.pdf index 33994c3..0b68941 100644 Binary files a/libtommath/tommath.pdf and b/libtommath/tommath.pdf differ diff --git a/libtommath/tommath_class.h b/libtommath/tommath_class.h index 166dd80..1e29c8f 100644 --- a/libtommath/tommath_class.h +++ b/libtommath/tommath_class.h @@ -994,6 +994,6 @@ #define LTM_LAST #endif -/* $Source: /cvs/libtom/libtommath/tommath_class.h,v $ */ -/* $Revision: 1.3 $ */ -/* $Date: 2005/07/28 11:59:32 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/tommath_superclass.h b/libtommath/tommath_superclass.h index 2fdebe6..89d5516 100644 --- a/libtommath/tommath_superclass.h +++ b/libtommath/tommath_superclass.h @@ -71,6 +71,6 @@ #endif -/* $Source: /cvs/libtom/libtommath/tommath_superclass.h,v $ */ -/* $Revision: 1.3 $ */ -/* $Date: 2005/05/14 13:29:17 $ */ +/* $Source$ */ +/* $Revision: 0.36 $ */ +/* $Date: 2005-08-01 16:37:28 +0000 $ */ -- cgit v0.12 From f1bac0e8becc22f505069ad52dae904eae5e004d Mon Sep 17 00:00:00 2001 From: oehhar Date: Thu, 5 Jun 2014 19:09:51 +0000 Subject: Robust async connect tests by temporarely switching off auto continuation. Ticket [13d3af3ad5] --- tests/socket.test | 15 ++++++++++-- unix/tclUnixSock.c | 67 +++++++++++++++++++++++++++++++++++++++++++++++++++++- win/tclWinSock.c | 38 ++++++++++++++++++++++++++++++- 3 files changed, 116 insertions(+), 4 deletions(-) diff --git a/tests/socket.test b/tests/socket.test index 0c9320a..b006cb4 100644 --- a/tests/socket.test +++ b/tests/socket.test @@ -67,10 +67,19 @@ namespace import -force ::tcltest::* testConstraint thread [expr {0 == [catch {package require Thread 2.7-}]}] testConstraint exec [llength [info commands exec]] + # Produce a random port number in the Dynamic/Private range # from 49152 through 65535. proc randport {} { expr {int(rand()*16383+49152)} } +# Check if socket_test option is available +testConstraint sockettest [expr {![catch { + set h [socket -async localhost [randport]] + fconfigure $h -unsupported1 1 + close $h + }]}] + + # Test the latency of tcp connections over the loopback interface. Some OSes # (e.g. NetBSD) seem to use the Nagle algorithm and delayed ACKs, so it takes # up to 200ms for a packet sent to localhost to arrive. We're measuring this @@ -2148,7 +2157,7 @@ test socket-14.10.1 {pending [socket -async] and nonblocking [puts], server is I close $sock } -result {{} ok} test socket-14.11.0 {pending [socket -async] and nonblocking [puts], no listener, no flush} \ - -constraints {socket} \ + -constraints {socket } \ -body { set sock [socket -async localhost [randport]] fconfigure $sock -blocking 0 @@ -2161,12 +2170,14 @@ test socket-14.11.0 {pending [socket -async] and nonblocking [puts], no listener unset x } -result {socket is not connected} -returnCodes 1 test socket-14.11.1 {pending [socket -async] and nonblocking [puts], no listener, flush} \ - -constraints {socket} \ + -constraints {socket sockettest} \ -body { set sock [socket -async localhost [randport]] + fconfigure $sock -unsupported1 1 fconfigure $sock -blocking 0 puts $sock ok flush $sock + fconfigure $sock -unsupported1 0 fileevent $sock writable {set x 1} vwait x close $sock diff --git a/unix/tclUnixSock.c b/unix/tclUnixSock.c index a9323c4..cf5d7b9 100644 --- a/unix/tclUnixSock.c +++ b/unix/tclUnixSock.c @@ -89,6 +89,9 @@ struct TcpState { * flag indicates that reentry is * still pending */ #define TCP_ASYNC_FAILED (1<<5) /* An async connect finally failed */ +#define TCP_ASYNC_TEST_MODE (1<<6) /* Async testing activated + * Do not automatically continue connection + * process */ /* * The following defines the maximum length of the listen queue. This is the @@ -125,6 +128,9 @@ static int TcpClose2Proc(ClientData instanceData, Tcl_Interp *interp, int flags); static int TcpGetHandleProc(ClientData instanceData, int direction, ClientData *handlePtr); +static int TcpSetOptionProc(ClientData instanceData, + Tcl_Interp *interp, const char *optionName, + const char *value); static int TcpGetOptionProc(ClientData instanceData, Tcl_Interp *interp, const char *optionName, Tcl_DString *dsPtr); @@ -147,7 +153,7 @@ static const Tcl_ChannelType tcpChannelType = { TcpInputProc, /* Input proc. */ TcpOutputProc, /* Output proc. */ NULL, /* Seek proc. */ - NULL, /* Set option proc. */ + TcpSetOptionProc, /* Set option proc. */ TcpGetOptionProc, /* Get option proc. */ TcpWatchProc, /* Initialize notifier. */ TcpGetHandleProc, /* Get OS handles out of channel. */ @@ -439,6 +445,21 @@ WaitForConnect( if (!(statePtr->flags & TCP_ASYNC_PENDING)) { return 0; } + + /* + * In socket test mode do not continue with the connect + * Exceptions are: + * - Call by recv/send and blocking socket + * (errorCodePtr != NULL && ! flags & TCP_NONBLOCKING) + */ + + if ( (statePtr->flags & TCP_ASYNC_TEST_MODE) + && !(errorCodePtr != NULL && !(statePtr->flags & TCP_NONBLOCKING))) { + if (errorCodePtr != NULL) { + *errorCodePtr = EWOULDBLOCK; + } + return -1; + } if (errorCodePtr == NULL || (statePtr->flags & TCP_NONBLOCKING)) { timeout = 0; @@ -748,6 +769,50 @@ TcpHostPortList( /* *---------------------------------------------------------------------- * + * TcpSetOptionProc -- + * + * Sets Tcp channel specific options. + * + * Results: + * None, unless an error happens. + * + * Side effects: + * Changes attributes of the socket at the system level. + * + *---------------------------------------------------------------------- + */ + +static int +TcpSetOptionProc( + ClientData instanceData, /* Socket state. */ + Tcl_Interp *interp, /* For error reporting - can be NULL. */ + const char *optionName, /* Name of the option to set. */ + const char *value) /* New value for option. */ +{ + TcpState *statePtr = instanceData; + + /* + * Set socket test int value + */ + if (!strcmp(optionName, "-unsupported1")) { + int intValue; + if (Tcl_GetInt(interp, value, &intValue) != TCL_OK) { + return TCL_ERROR; + } + if (intValue & 1) { + SET_BITS(statePtr->flags,TCP_ASYNC_TEST_MODE); + } else { + CLEAR_BITS(statePtr->flags,TCP_ASYNC_TEST_MODE); + } + return TCL_OK; + } + + return Tcl_BadChannelOption(interp, optionName, ""); +} + +/* + *---------------------------------------------------------------------- + * * TcpGetOptionProc -- * * Computes an option value for a TCP socket based channel, or a list of diff --git a/win/tclWinSock.c b/win/tclWinSock.c index f343f82..2703309 100644 --- a/win/tclWinSock.c +++ b/win/tclWinSock.c @@ -191,6 +191,9 @@ struct TcpState { * flag indicates that reentry is * still pending */ #define TCP_ASYNC_FAILED (1<<5) /* An async connect finally failed */ +#define TCP_ASYNC_TEST_MODE (1<<6) /* Async testing activated + * Do not automatically continue connection + * process */ /* * The following structure is what is added to the Tcl event queue when a @@ -602,6 +605,20 @@ WaitForConnect( } /* + * In socket test mode do not continue with the connect + * Exceptions are: + * - Call by recv/send and blocking socket + * (errorCodePtr != NULL && ! flags & TCP_NONBLOCKING) + * - Call by the event queue (errorCodePtr == NULL) + */ + + if ( (statePtr->flags & TCP_ASYNC_TEST_MODE) + && errorCodePtr != NULL && (statePtr->flags & TCP_NONBLOCKING)) { + *errorCodePtr = EWOULDBLOCK; + return -1; + } + + /* * Be sure to disable event servicing so we are truly modal. */ @@ -1123,6 +1140,7 @@ TcpSetOptionProc( const char *optionName, /* Name of the option to set. */ const char *value) /* New value for option. */ { + TcpState *statePtr = instanceData; #ifdef TCL_FEATURE_KEEPALIVE_NAGLE TcpState *statePtr = instanceData; SOCKET sock; @@ -1142,6 +1160,22 @@ TcpSetOptionProc( return TCL_ERROR; } + /* + * Set socket test int value + */ + if (!strcmp(optionName, "-unsupported1")) { + int intValue; + if (Tcl_GetInt(interp, value, &intValue) != TCL_OK) { + return TCL_ERROR; + } + if (intValue & 1) { + SET_BITS(statePtr->flags,TCP_ASYNC_TEST_MODE); + } else { + CLEAR_BITS(statePtr->flags,TCP_ASYNC_TEST_MODE); + } + return TCL_OK; + } + #ifdef TCL_FEATURE_KEEPALIVE_NAGLE #error "TCL_FEATURE_KEEPALIVE_NAGLE not reviewed for whether to treat statePtr->sockets as single fd or list" sock = statePtr->sockets->fd; @@ -1254,7 +1288,9 @@ TcpGetOptionProc( * Go one step in async connect * If any error is thrown save it as backround error to report eventually below */ - WaitForConnect(statePtr, NULL); + if (! (statePtr->flags & TCP_ASYNC_TEST_MODE) ) { + WaitForConnect(statePtr, NULL); + } sock = statePtr->sockets->fd; if (optionName != NULL) { -- cgit v0.12 From 57fd7d58a12e28ba76f2bafdf441d53fabf47cb0 Mon Sep 17 00:00:00 2001 From: oehhar Date: Thu, 17 Jul 2014 09:53:36 +0000 Subject: Replaced option "-unsupported1" by test command "testsocket debugflags" (thanks Donal, Donald). --- generic/tclTest.c | 85 ++++++++++++++++++++++++++++++++++++++++++++++++++++++ tests/socket.test | 15 ++++++---- unix/tclUnixSock.c | 67 +++++++++--------------------------------- win/tclWinSock.c | 31 +++++++------------- 4 files changed, 118 insertions(+), 80 deletions(-) diff --git a/generic/tclTest.c b/generic/tclTest.c index a27c95a..80a2a37 100644 --- a/generic/tclTest.c +++ b/generic/tclTest.c @@ -75,6 +75,18 @@ typedef struct TestAsyncHandler { /* Next is list of handlers. */ } TestAsyncHandler; +/* + * Start of the socket driver state structure to acces field testFlags + */ + +typedef struct TcpState TcpState; + +struct TcpState { + Tcl_Channel channel; /* Channel associated with this socket. */ + int testFlags; /* bit field for tests. Is set by testsocket + * test procedure */ +}; + TCL_DECLARE_MUTEX(asyncTestMutex) static TestAsyncHandler *firstHandler = NULL; @@ -362,6 +374,8 @@ static int TestChannelCmd(ClientData clientData, Tcl_Interp *interp, int argc, const char **argv); static int TestChannelEventCmd(ClientData clientData, Tcl_Interp *interp, int argc, const char **argv); +static int TestSocketCmd(ClientData clientData, + Tcl_Interp *interp, int argc, const char **argv); static int TestFilesystemObjCmd(ClientData dummy, Tcl_Interp *interp, int objc, Tcl_Obj *const objv[]); @@ -666,6 +680,8 @@ Tcltest_Init( TestNumUtfCharsCmd, NULL, NULL); Tcl_CreateCommand(interp, "testsetplatform", TestsetplatformCmd, NULL, NULL); + Tcl_CreateCommand(interp, "testsocket", TestSocketCmd, + NULL, NULL); Tcl_CreateCommand(interp, "teststaticpkg", TeststaticpkgCmd, NULL, NULL); Tcl_CreateCommand(interp, "testtranslatefilename", @@ -5970,6 +5986,75 @@ TestChannelEventCmd( /* *---------------------------------------------------------------------- * + * TestSocketCmd -- + * + * Implements the Tcl "testsocket" debugging command and its + * subcommands. This is part of the testing environment. + * + * Results: + * A standard Tcl result. + * + * Side effects: + * None. + * + *---------------------------------------------------------------------- + */ + + /* ARGSUSED */ +static int +TestSocketCmd( + ClientData clientData, /* Not used. */ + Tcl_Interp *interp, /* Interpreter for result. */ + int argc, /* Count of additional args. */ + const char **argv) /* Additional arg strings. */ +{ + const char *cmdName; /* Sub command. */ + size_t len; /* Length of subcommand string. */ + + if (argc < 2) { + Tcl_AppendResult(interp, "wrong # args: should be \"", argv[0], + " subcommand ?additional args..?\"", NULL); + return TCL_ERROR; + } + cmdName = argv[1]; + len = strlen(cmdName); + + if ((cmdName[0] == 't') && (strncmp(cmdName, "testflags", len) == 0)) { + Tcl_Channel hChannel; + int modePtr; + TcpState *statePtr; + /* Set test value in the socket driver + */ + /* Check for argument "channel name" + */ + if (argc < 4) { + Tcl_AppendResult(interp, "wrong # args: should be \"", argv[0], + " testflags channel flags\"", NULL); + return TCL_ERROR; + } + hChannel = Tcl_GetChannel(interp, argv[2], &modePtr); + if ( NULL == hChannel ) { + Tcl_AppendResult(interp, "unknown channel:", argv[2], NULL); + return TCL_ERROR; + } + statePtr = (TcpState *)Tcl_GetChannelInstanceData(hChannel); + if ( NULL == statePtr) { + Tcl_AppendResult(interp, "No channel instance data:", argv[2], + NULL); + return TCL_ERROR; + } + statePtr->testFlags = atoi(argv[3]); + return TCL_OK; + } + + Tcl_AppendResult(interp, "bad option \"", cmdName, "\": should be " + "testflags", NULL); + return TCL_ERROR; +} + +/* + *---------------------------------------------------------------------- + * * TestWrongNumArgsObjCmd -- * * Test the Tcl_WrongNumArgs function. diff --git a/tests/socket.test b/tests/socket.test index b006cb4..839e9d2 100644 --- a/tests/socket.test +++ b/tests/socket.test @@ -72,10 +72,10 @@ testConstraint exec [llength [info commands exec]] # from 49152 through 65535. proc randport {} { expr {int(rand()*16383+49152)} } -# Check if socket_test option is available -testConstraint sockettest [expr {![catch { +# Check if testsocket testflags is available +testConstraint testsocket_testflags [expr {![catch { set h [socket -async localhost [randport]] - fconfigure $h -unsupported1 1 + testsocket testflags $h 0 close $h }]}] @@ -2170,14 +2170,17 @@ test socket-14.11.0 {pending [socket -async] and nonblocking [puts], no listener unset x } -result {socket is not connected} -returnCodes 1 test socket-14.11.1 {pending [socket -async] and nonblocking [puts], no listener, flush} \ - -constraints {socket sockettest} \ + -constraints {socket testsocket_testflags} \ -body { set sock [socket -async localhost [randport]] - fconfigure $sock -unsupported1 1 + # Set the socket in async test mode. + # The async connect will not be continued on the following fconfigure + # and puts/flush. Thus, the connect will fail after them. + testsocket testflags $sock 1 fconfigure $sock -blocking 0 puts $sock ok flush $sock - fconfigure $sock -unsupported1 0 + testsocket testflags $sock 0 fileevent $sock writable {set x 1} vwait x close $sock diff --git a/unix/tclUnixSock.c b/unix/tclUnixSock.c index cf5d7b9..fdd4287 100644 --- a/unix/tclUnixSock.c +++ b/unix/tclUnixSock.c @@ -52,6 +52,8 @@ typedef struct TcpFdList { struct TcpState { Tcl_Channel channel; /* Channel associated with this file. */ + int testFlags; /* bit field for tests. Is set by testsocket + * test procedure */ TcpFdList fds; /* The file descriptors of the sockets. */ int flags; /* ORed combination of the bitfields defined * below. */ @@ -89,7 +91,13 @@ struct TcpState { * flag indicates that reentry is * still pending */ #define TCP_ASYNC_FAILED (1<<5) /* An async connect finally failed */ -#define TCP_ASYNC_TEST_MODE (1<<6) /* Async testing activated + +/* + * These bits may be ORed together into the "testFlags" field of a TcpState + * structure. + */ + +#define TCP_ASYNC_TEST_MODE (1<<0) /* Async testing activated * Do not automatically continue connection * process */ @@ -128,9 +136,6 @@ static int TcpClose2Proc(ClientData instanceData, Tcl_Interp *interp, int flags); static int TcpGetHandleProc(ClientData instanceData, int direction, ClientData *handlePtr); -static int TcpSetOptionProc(ClientData instanceData, - Tcl_Interp *interp, const char *optionName, - const char *value); static int TcpGetOptionProc(ClientData instanceData, Tcl_Interp *interp, const char *optionName, Tcl_DString *dsPtr); @@ -153,7 +158,7 @@ static const Tcl_ChannelType tcpChannelType = { TcpInputProc, /* Input proc. */ TcpOutputProc, /* Output proc. */ NULL, /* Seek proc. */ - TcpSetOptionProc, /* Set option proc. */ + NULL, /* Set option proc. */ TcpGetOptionProc, /* Get option proc. */ TcpWatchProc, /* Initialize notifier. */ TcpGetHandleProc, /* Get OS handles out of channel. */ @@ -453,11 +458,9 @@ WaitForConnect( * (errorCodePtr != NULL && ! flags & TCP_NONBLOCKING) */ - if ( (statePtr->flags & TCP_ASYNC_TEST_MODE) - && !(errorCodePtr != NULL && !(statePtr->flags & TCP_NONBLOCKING))) { - if (errorCodePtr != NULL) { - *errorCodePtr = EWOULDBLOCK; - } + if ( (statePtr->testFlags & TCP_ASYNC_TEST_MODE) + && ! (errorCodePtr != NULL && ! (statePtr->flags & TCP_NONBLOCKING))) { + *errorCodePtr = EWOULDBLOCK; return -1; } @@ -769,50 +772,6 @@ TcpHostPortList( /* *---------------------------------------------------------------------- * - * TcpSetOptionProc -- - * - * Sets Tcp channel specific options. - * - * Results: - * None, unless an error happens. - * - * Side effects: - * Changes attributes of the socket at the system level. - * - *---------------------------------------------------------------------- - */ - -static int -TcpSetOptionProc( - ClientData instanceData, /* Socket state. */ - Tcl_Interp *interp, /* For error reporting - can be NULL. */ - const char *optionName, /* Name of the option to set. */ - const char *value) /* New value for option. */ -{ - TcpState *statePtr = instanceData; - - /* - * Set socket test int value - */ - if (!strcmp(optionName, "-unsupported1")) { - int intValue; - if (Tcl_GetInt(interp, value, &intValue) != TCL_OK) { - return TCL_ERROR; - } - if (intValue & 1) { - SET_BITS(statePtr->flags,TCP_ASYNC_TEST_MODE); - } else { - CLEAR_BITS(statePtr->flags,TCP_ASYNC_TEST_MODE); - } - return TCL_OK; - } - - return Tcl_BadChannelOption(interp, optionName, ""); -} - -/* - *---------------------------------------------------------------------- - * * TcpGetOptionProc -- * * Computes an option value for a TCP socket based channel, or a list of diff --git a/win/tclWinSock.c b/win/tclWinSock.c index 2703309..d6c8e3a 100644 --- a/win/tclWinSock.c +++ b/win/tclWinSock.c @@ -133,6 +133,8 @@ typedef struct TcpFdList { struct TcpState { Tcl_Channel channel; /* Channel associated with this socket. */ + int testFlags; /* bit field for tests. Is set by testsocket + * test procedure */ struct TcpFdList *sockets; /* Windows SOCKET handle. */ int flags; /* Bit field comprised of the flags described * below. */ @@ -191,7 +193,13 @@ struct TcpState { * flag indicates that reentry is * still pending */ #define TCP_ASYNC_FAILED (1<<5) /* An async connect finally failed */ -#define TCP_ASYNC_TEST_MODE (1<<6) /* Async testing activated + +/* + * These bits may be ORed together into the "testFlags" field of a TcpState + * structure. + */ + +#define TCP_ASYNC_TEST_MODE (1<<0) /* Async testing activated * Do not automatically continue connection * process */ @@ -612,7 +620,7 @@ WaitForConnect( * - Call by the event queue (errorCodePtr == NULL) */ - if ( (statePtr->flags & TCP_ASYNC_TEST_MODE) + if ( (statePtr->testFlags & TCP_ASYNC_TEST_MODE) && errorCodePtr != NULL && (statePtr->flags & TCP_NONBLOCKING)) { *errorCodePtr = EWOULDBLOCK; return -1; @@ -1140,7 +1148,6 @@ TcpSetOptionProc( const char *optionName, /* Name of the option to set. */ const char *value) /* New value for option. */ { - TcpState *statePtr = instanceData; #ifdef TCL_FEATURE_KEEPALIVE_NAGLE TcpState *statePtr = instanceData; SOCKET sock; @@ -1160,22 +1167,6 @@ TcpSetOptionProc( return TCL_ERROR; } - /* - * Set socket test int value - */ - if (!strcmp(optionName, "-unsupported1")) { - int intValue; - if (Tcl_GetInt(interp, value, &intValue) != TCL_OK) { - return TCL_ERROR; - } - if (intValue & 1) { - SET_BITS(statePtr->flags,TCP_ASYNC_TEST_MODE); - } else { - CLEAR_BITS(statePtr->flags,TCP_ASYNC_TEST_MODE); - } - return TCL_OK; - } - #ifdef TCL_FEATURE_KEEPALIVE_NAGLE #error "TCL_FEATURE_KEEPALIVE_NAGLE not reviewed for whether to treat statePtr->sockets as single fd or list" sock = statePtr->sockets->fd; @@ -1288,7 +1279,7 @@ TcpGetOptionProc( * Go one step in async connect * If any error is thrown save it as backround error to report eventually below */ - if (! (statePtr->flags & TCP_ASYNC_TEST_MODE) ) { + if (! (statePtr->testFlags & TCP_ASYNC_TEST_MODE) ) { WaitForConnect(statePtr, NULL); } -- cgit v0.12 From 1990c76e8d05fcf48cccabb5d2f1a49c3c99ecd1 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 18 Jul 2014 10:00:52 +0000 Subject: Make sure the "sockettest" command is available even when running socket.test individually. --- tests/socket.test | 9 +++++++-- 1 file changed, 7 insertions(+), 2 deletions(-) diff --git a/tests/socket.test b/tests/socket.test index 8ffd86b..29f1015 100644 --- a/tests/socket.test +++ b/tests/socket.test @@ -60,8 +60,13 @@ # listening at port 2048. If all fails, a message is printed and the tests # using the remote server are not performed. -package require tcltest 2 -namespace import -force ::tcltest::* +if {[lsearch [namespace children] ::tcltest] == -1} { + package require tcltest + namespace import -force ::tcltest::* +} + +::tcltest::loadTestedCommands +catch [list package require -exact Tcltest [info patchlevel]] # Some tests require the Thread package or exec command testConstraint thread [expr {0 == [catch {package require Thread 2.7-}]}] -- cgit v0.12 From a7258480c26f267158b30ff494c04bc04c6cfae0 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 25 Sep 2015 10:39:39 +0000 Subject: proposed fix for [219866c1e9]: platform::identify: regexp doesn't match platform --- library/platform/pkgIndex.tcl | 2 +- library/platform/platform.tcl | 13 ++++++++++--- unix/Makefile.in | 4 ++-- win/Makefile.in | 4 ++-- 4 files changed, 15 insertions(+), 8 deletions(-) diff --git a/library/platform/pkgIndex.tcl b/library/platform/pkgIndex.tcl index 5250163..5970a3f 100644 --- a/library/platform/pkgIndex.tcl +++ b/library/platform/pkgIndex.tcl @@ -1,3 +1,3 @@ -package ifneeded platform 1.0.13 [list source [file join $dir platform.tcl]] +package ifneeded platform 1.0.14 [list source [file join $dir platform.tcl]] package ifneeded platform::shell 1.1.4 [list source [file join $dir shell.tcl]] diff --git a/library/platform/platform.tcl b/library/platform/platform.tcl index 1bce7b5..6843210 100644 --- a/library/platform/platform.tcl +++ b/library/platform/platform.tcl @@ -95,7 +95,11 @@ proc ::platform::generic {} { switch -- $plat { windows { - set plat win32 + if {$tcl_platform(platform) == "unix"} { + set plat cygwin_nt + } else { + set plat win32 + } if {$cpu eq "amd64"} { # Do not check wordSize, win32-x64 is an IL32P64 platform. set cpu x86_64 @@ -158,9 +162,12 @@ proc ::platform::identify {} { global tcl_platform set id [generic] - regexp {^([^-]+)-([^-]+)$} $id -> plat cpu + regexp {^([^-]+)(-[0-9\.]+)?(-wow)?-([^-]+)$} $id -> plat ver wow cpu switch -- $plat { + cygwin_nt { + return "${plat}-${cpu}" + } solaris { regsub {^5} $tcl_platform(osVersion) 2 text append plat $text @@ -371,7 +378,7 @@ proc ::platform::patterns {id} { # ### ### ### ######### ######### ######### ## Ready -package provide platform 1.0.13 +package provide platform 1.0.14 # ### ### ### ######### ######### ######### ## Demo application diff --git a/unix/Makefile.in b/unix/Makefile.in index 1358f29..1f2cd77 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -788,8 +788,8 @@ install-libraries: libraries $(INSTALL_TZDATA) install-msgs @echo "Installing package tcltest 2.3.8 as a Tcl Module"; @$(INSTALL_DATA) $(TOP_DIR)/library/tcltest/tcltest.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.5/tcltest-2.3.8.tm; - @echo "Installing package platform 1.0.13 as a Tcl Module"; - @$(INSTALL_DATA) $(TOP_DIR)/library/platform/platform.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.4/platform-1.0.13.tm; + @echo "Installing package platform 1.0.14 as a Tcl Module"; + @$(INSTALL_DATA) $(TOP_DIR)/library/platform/platform.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.4/platform-1.0.14.tm; @echo "Installing package platform::shell 1.1.4 as a Tcl Module"; @$(INSTALL_DATA) $(TOP_DIR)/library/platform/shell.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.4/platform/shell-1.1.4.tm; diff --git a/win/Makefile.in b/win/Makefile.in index dd568ba..c0d8668 100644 --- a/win/Makefile.in +++ b/win/Makefile.in @@ -653,8 +653,8 @@ install-libraries: libraries install-tzdata install-msgs @$(COPY) $(ROOT_DIR)/library/msgcat/msgcat.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.5/msgcat-1.5.2.tm; @echo "Installing package tcltest 2.3.8 as a Tcl Module"; @$(COPY) $(ROOT_DIR)/library/tcltest/tcltest.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.5/tcltest-2.3.8.tm; - @echo "Installing package platform 1.0.13 as a Tcl Module"; - @$(COPY) $(ROOT_DIR)/library/platform/platform.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.4/platform-1.0.13.tm; + @echo "Installing package platform 1.0.14 as a Tcl Module"; + @$(COPY) $(ROOT_DIR)/library/platform/platform.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.4/platform-1.0.14.tm; @echo "Installing package platform::shell 1.1.4 as a Tcl Module"; @$(COPY) $(ROOT_DIR)/library/platform/shell.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.4/platform/shell-1.1.4.tm; @echo "Installing encodings"; -- cgit v0.12 From 4bdba0452a35fd38357a21020579d0151a1c25d6 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 28 Sep 2015 11:11:00 +0000 Subject: align comment, no functional change --- generic/tclIO.h | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/generic/tclIO.h b/generic/tclIO.h index 20e0ccd..348a9c5 100644 --- a/generic/tclIO.h +++ b/generic/tclIO.h @@ -126,7 +126,7 @@ typedef struct Channel { */ typedef struct ChannelState { - char *channelName; /* The name of the channel instance in Tcl + char *channelName; /* The name of the channel instance in Tcl * commands. Storage is owned by the generic * IO code, is dynamically allocated. */ int flags; /* ORed combination of the flags defined -- cgit v0.12 From a2540e5ece3d78a4ea38164cdbcb92d6f0c769c3 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 30 Sep 2015 08:25:37 +0000 Subject: Fix [b1f19286f0]: for command documentation. Minor addendum to previous commit: Make OS version number available in ::platform::generic for Cygwin --- doc/for.n | 2 +- library/platform/platform.tcl | 1 + 2 files changed, 2 insertions(+), 1 deletion(-) diff --git a/doc/for.n b/doc/for.n index 9773677..7537e10 100644 --- a/doc/for.n +++ b/doc/for.n @@ -48,7 +48,7 @@ expression is evaluated (before each loop iteration), so changes in the variables will be visible. See below for an example: .SH EXAMPLES -Print a line for each of the integers from 0 to 10: +Print a line for each of the integers from 0 to 9: .CS for {set x 0} {$x<10} {incr x} { puts "x is $x" diff --git a/library/platform/platform.tcl b/library/platform/platform.tcl index 6843210..d510541 100644 --- a/library/platform/platform.tcl +++ b/library/platform/platform.tcl @@ -104,6 +104,7 @@ proc ::platform::generic {} { # Do not check wordSize, win32-x64 is an IL32P64 platform. set cpu x86_64 } + append plat -$tcl_platform(osVersion) } sunos { set plat solaris -- cgit v0.12 From 5572aa0ec790cb0075eca068cf30ae366abb7f4c Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 30 Sep 2015 11:11:33 +0000 Subject: Don't limit Universal runtime support VisualStudio version 14 only, future versions will probably have it as well. --- win/configure | 4 ++-- win/tcl.m4 | 4 ++-- 2 files changed, 4 insertions(+), 4 deletions(-) diff --git a/win/configure b/win/configure index f417981..1dcc9d2 100755 --- a/win/configure +++ b/win/configure @@ -3691,7 +3691,7 @@ echo "${ECHO_T}using shared flags" >&6 LIBRARIES="\${SHARED_LIBRARIES}" SHLIB_LD_LIBS='${LIBS}' case "x`echo \${VisualStudioVersion}`" in - x14*) + x1[4-9]*) lflags="${lflags} -nodefaultlib:libucrt.lib" ;; *) @@ -3736,7 +3736,7 @@ echo "${ECHO_T} Using 64-bit $MACHINE mode" >&6 LIBS="user32.lib advapi32.lib ws2_32.lib" case "x`echo \${VisualStudioVersion}`" in - x14*) + x1[4-9]*) LIBS="$LIBS ucrt.lib" ;; *) diff --git a/win/tcl.m4 b/win/tcl.m4 index 6f10a96..aa3c4b3 100644 --- a/win/tcl.m4 +++ b/win/tcl.m4 @@ -784,7 +784,7 @@ AC_DEFUN([SC_CONFIG_CFLAGS], [ LIBRARIES="\${SHARED_LIBRARIES}" SHLIB_LD_LIBS='${LIBS}' case "x`echo \${VisualStudioVersion}`" in - x14*) + x1[4-9]*) lflags="${lflags} -nodefaultlib:libucrt.lib" ;; *) @@ -826,7 +826,7 @@ AC_DEFUN([SC_CONFIG_CFLAGS], [ LIBS="user32.lib advapi32.lib ws2_32.lib" case "x`echo \${VisualStudioVersion}`" in - x14*) + x1[4-9]*) LIBS="$LIBS ucrt.lib" ;; *) -- cgit v0.12 From 3964ec3d8cef652a7ff8f12578bf910bedd0f50b Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 30 Sep 2015 12:57:02 +0000 Subject: Fix [738bc50e93]: auto_execok doesn't recognise mklink on windows. Remove some unnecessary end-of-line spacing. --- library/auto.tcl | 14 ++-- library/clock.tcl | 168 +++++++++++++++++++++--------------------- library/init.tcl | 12 +-- library/package.tcl | 44 +++++------ library/platform/platform.tcl | 2 +- library/safe.tcl | 18 ++--- library/tm.tcl | 2 +- 7 files changed, 128 insertions(+), 132 deletions(-) diff --git a/library/auto.tcl b/library/auto.tcl index f7cf5f0..ec680de 100644 --- a/library/auto.tcl +++ b/library/auto.tcl @@ -16,7 +16,7 @@ # so that the information gets recomputed the next time it's needed. # Also delete any commands that are listed in the auto-load index. # -# Arguments: +# Arguments: # None. proc auto_reset {} { @@ -172,7 +172,7 @@ proc tcl_findLibrary {basename version patch initScript enVarName varName} { # parse Tcl source files, writing out index entries as "proc" # commands are encountered. This implementation won't work in a # safe interpreter, since a safe interpreter can't create the -# special parser and mess with its commands. +# special parser and mess with its commands. if {[interp issafe]} { return ;# Stop sourcing the file here @@ -184,7 +184,7 @@ if {[interp issafe]} { # followed by any number of glob patterns to use in that directory to # locate all of the relevant files. # -# Arguments: +# Arguments: # dir - Name of the directory in which to create an index. # args - Any number of additional arguments giving the # names of files within dir. If no additional @@ -338,7 +338,7 @@ namespace eval auto_mkindex_parser { # handles things like the "proc" command by adding an entry for the # index file. Returns a string that represents the index file. # -# Arguments: +# Arguments: # file Name of Tcl source file to be indexed. proc auto_mkindex_parser::mkindex {file} { @@ -455,7 +455,7 @@ proc auto_mkindex_parser::commandInit {name arglist body} { if {[string match *::* $name]} { set exportCmd [list _%@namespace export [namespace tail $name]] $parser eval [list _%@namespace eval $ns $exportCmd] - + # The following proc definition does not work if you # want to tolerate space or something else diabolical # in the procedure name, (i.e., space in $alias) @@ -528,7 +528,7 @@ auto_mkindex_parser::command proc {name args} { variable scriptFile # Do some fancy reformatting on the "source" call to handle platform # differences with respect to pathnames. Use format just so that the - # command is a little easier to read (otherwise it'd be full of + # command is a little easier to read (otherwise it'd be full of # backslashed dollar signs, etc. append index [list set auto_index([fullname $name])] \ [format { [list source [file join $dir %s]]} \ @@ -553,7 +553,7 @@ auto_mkindex_parser::hook { # AUTO MKINDEX: tbcload::bcproc name arglist body # Adds an entry to the auto index list for the given pre-compiled - # procedure name. + # procedure name. auto_mkindex_parser::commandInit tbcload::bcproc {name args} { variable index diff --git a/library/clock.tcl b/library/clock.tcl index 1f83716..eb87251 100644 --- a/library/clock.tcl +++ b/library/clock.tcl @@ -43,7 +43,7 @@ namespace eval ::tcl::clock \ # The 'clock' command manipulates time. Refer to the user documentation # for the available subcommands and what they do. # -#---------------------------------------------------------------------- +#---------------------------------------------------------------------- namespace eval ::tcl::clock { @@ -189,7 +189,7 @@ proc ::tcl::clock::Initialize {} { # Germany, Norway, Denmark (Catholic Germany changed earlier) ::msgcat::mcset de_DE GREGORIAN_CHANGE_DATE 2342032 - ::msgcat::mcset nb GREGORIAN_CHANGE_DATE 2342032 + ::msgcat::mcset nb GREGORIAN_CHANGE_DATE 2342032 ::msgcat::mcset nn GREGORIAN_CHANGE_DATE 2342032 ::msgcat::mcset no GREGORIAN_CHANGE_DATE 2342032 ::msgcat::mcset da GREGORIAN_CHANGE_DATE 2342032 @@ -225,7 +225,7 @@ proc ::tcl::clock::Initialize {} { # Greece ::msgcat::mcset el GREGORIAN_CHANGE_DATE 2423480 - + #------------------------------------------------------------------ # # CONSTANTS @@ -378,7 +378,7 @@ proc ::tcl::clock::Initialize {} { {46800 0 3600 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0} :Pacific/Tongatapu }] - # Groups of fields that specify the date, priorities, and + # Groups of fields that specify the date, priorities, and # code bursts that determine Julian Day Number given those groups. # The code in [clock scan] will choose the highest priority # (lowest numbered) set of fields that determines the date. @@ -670,7 +670,7 @@ proc ::tcl::clock::format { args } { set clockval [lindex $args 0] # Get the data for time changes in the given zone - + if {$timezone eq ""} { set timezone [GetSystemTimeZone] } @@ -680,11 +680,11 @@ proc ::tcl::clock::format { args } { return -options $opts $retval } } - + # Build a procedure to format the result. Cache the built procedure's # name in the 'FormatProc' array to avoid losing its internal # representation, which contains the name resolution. - + set procName formatproc'$format'$locale set procName [namespace current]::[string map {: {\:} \\ {\\}} $procName] if {[info exists FormatProc($procName)]} { @@ -693,7 +693,7 @@ proc ::tcl::clock::format { args } { set FormatProc($procName) \ [ParseClockFormatFormat $procName $format $locale] } - + return [$procName $clockval $timezone] } @@ -720,7 +720,7 @@ proc ::tcl::clock::ParseClockFormatFormat {procName format locale} { } # Map away the locale-dependent composite format groups - + EnterLocale $locale oldLocale # Change locale if a fresh locale has been given on the command line. @@ -767,7 +767,7 @@ proc ::tcl::clock::ParseClockFormatFormat2 {format locale procName} { set formatString {} set substituents {} set state {} - + set format [LocalizeFormat $locale $format] foreach char [split $format {}] { @@ -794,7 +794,7 @@ proc ::tcl::clock::ParseClockFormatFormat2 {format locale procName} { { [lindex @DAYS_OF_WEEK_ABBREV@ \ [expr {[dict get $date dayOfWeek] \ % 7}]]}] - } + } A { # Day of week, spelt out. append formatString %s append substituents \ @@ -895,7 +895,7 @@ proc ::tcl::clock::ParseClockFormatFormat2 {format locale procName} { k { # Hour (0-23), no leading zero append formatString %2d append substituents \ - { [expr { [dict get $date localSeconds] + { [expr { [dict get $date localSeconds] / 3600 % 24 }]} } @@ -916,7 +916,7 @@ proc ::tcl::clock::ParseClockFormatFormat2 {format locale procName} { M { # Minute of the hour, leading zero append formatString %02d append substituents \ - { [expr { [dict get $date localSeconds] + { [expr { [dict get $date localSeconds] / 60 % 60 }]} } @@ -957,7 +957,7 @@ proc ::tcl::clock::ParseClockFormatFormat2 {format locale procName} { { [expr {(([dict get $date localSeconds] % 86400) < 43200) ? $am : $pm}]} - + } Q { # Hi, Jeff! append formatString %s @@ -967,11 +967,11 @@ proc ::tcl::clock::ParseClockFormatFormat2 {format locale procName} { append formatString %s append substituents { [dict get $date seconds]} } - S { # Second of the minute, with + S { # Second of the minute, with # leading zero append formatString %02d append substituents \ - { [expr { [dict get $date localSeconds] + { [expr { [dict get $date localSeconds] % 60 }]} } t { # A literal tab character @@ -992,7 +992,7 @@ proc ::tcl::clock::ParseClockFormatFormat2 {format locale procName} { } incr dow set UweekNumber \ - [expr { ( [dict get $date dayOfYear] + [expr { ( [dict get $date dayOfYear] - $dow + 7 ) / 7 }] } @@ -1015,7 +1015,7 @@ proc ::tcl::clock::ParseClockFormatFormat2 {format locale procName} { set WweekNumber \ [expr { ( [dict get $date dayOfYear] - [dict get $date dayOfWeek] - + 7 ) + + 7 ) / 7 }] } append formatString %02d @@ -1084,7 +1084,7 @@ proc ::tcl::clock::ParseClockFormatFormat2 {format locale procName} { percentO { # Character following %O set state {} switch -exact -- $char { - d - e { # Day of the month in alternative + d - e { # Day of the month in alternative # numerals append formatString %s append substituents \ @@ -1096,7 +1096,7 @@ proc ::tcl::clock::ParseClockFormatFormat2 {format locale procName} { append formatString %s append substituents \ { [lindex $localeNumerals \ - [expr { [dict get $date localSeconds] + [expr { [dict get $date localSeconds] / 3600 % 24 }]]} } @@ -1122,7 +1122,7 @@ proc ::tcl::clock::ParseClockFormatFormat2 {format locale procName} { append formatString %s append substituents \ { [lindex $localeNumerals \ - [expr { [dict get $date localSeconds] + [expr { [dict get $date localSeconds] / 60 % 60 }]]} } @@ -1131,7 +1131,7 @@ proc ::tcl::clock::ParseClockFormatFormat2 {format locale procName} { append formatString %s append substituents \ { [lindex $localeNumerals \ - [expr { [dict get $date localSeconds] + [expr { [dict get $date localSeconds] % 60 }]]} } u { # Day of the week (Monday=1,Sunday=7) @@ -1162,9 +1162,9 @@ proc ::tcl::clock::ParseClockFormatFormat2 {format locale procName} { } } } - + # Clean up any improperly terminated groups - + switch -exact -- $state { percent { append formatString %% @@ -1263,7 +1263,7 @@ proc ::tcl::clock::scan { args } { } if { [catch { expr { wide($base) } } result] } { return -code error \ - "expected integer but got \"$base\"" + "expected integer but got \"$base\"" } if { ![string is boolean $gmt] } { return -code error \ @@ -1340,7 +1340,7 @@ proc ::tcl::clock::FreeScan { string base timezone locale } { variable TZData # Get the data for time changes in the given zone - + if {[catch {SetupTimeZone $timezone} retval opts]} { dict unset opts -errorinfo return -options $opts $retval @@ -1353,7 +1353,7 @@ proc ::tcl::clock::FreeScan { string base timezone locale } { $base \ $TZData($timezone) \ 2361222] - dict set date secondOfDay [expr { [dict get $date localSeconds] + dict set date secondOfDay [expr { [dict get $date localSeconds] % 86400 }] # Parse the date. The parser will return a list comprising @@ -1400,7 +1400,7 @@ proc ::tcl::clock::FreeScan { string base timezone locale } { # east of Greenwich, and the second is a Daylight Saving Time # indicator ( 1 == yes, 0 == no, -1 == unknown ). We make it into # a time zone indicator of +-hhmm. - + if { [llength $parseZone] > 0 } { lassign $parseZone minEast dstFlag set timezone [FormatNumericTimeZone \ @@ -1414,9 +1414,9 @@ proc ::tcl::clock::FreeScan { string base timezone locale } { set date [GetJulianDayFromEraYearMonthDay $date[set date {}] 2361222] if { $parseTime ne {} } { dict set date secondOfDay $parseTime - } elseif { [llength $parseWeekday] != 0 - || [llength $parseOrdinalMonth] != 0 - || ( [llength $parseRel] != 0 + } elseif { [llength $parseWeekday] != 0 + || [llength $parseOrdinalMonth] != 0 + || ( [llength $parseRel] != 0 && ( [lindex $parseRel 0] != 0 || [lindex $parseRel 1] != 0 ) ) } { dict set date secondOfDay 0 @@ -1437,17 +1437,17 @@ proc ::tcl::clock::FreeScan { string base timezone locale } { set seconds [add $seconds \ $relMonth months $relDay days $relSecond seconds \ -timezone $timezone -locale $locale] - } + } # Do relative weekday - + if { [llength $parseWeekday] > 0 } { lassign $parseWeekday dayOrdinal dayOfWeek set date2 [GetDateFields $seconds $TZData($timezone) 2361222] dict set date2 era CE set jdwkday [WeekdayOnOrBefore $dayOfWeek \ - [expr { [dict get $date2 julianDay] + [expr { [dict get $date2 julianDay] + 6 }]] incr jdwkday [expr { 7 * $dayOrdinal }] if { $dayOrdinal > 0 } { @@ -1506,7 +1506,7 @@ proc ::tcl::clock::FreeScan { string base timezone locale } { # # Results: # Constructs and returns a procedure that accepts the -# string being scanned, the base time, and the time zone. +# string being scanned, the base time, and the time zone. # The procedure will either return the scanned time or # else throw an error that should be rethrown to the caller # of [clock scan] @@ -1776,7 +1776,7 @@ proc ::tcl::clock::ParseClockScanFormat {formatString locale} { append re \\s*\\d\\d? } V { # Week of ISO8601 year - + append re \\s*(\\d\\d?) dict set fieldSet iso8601Week [incr fieldCount] append postcode "dict set date iso8601Week \[" \ @@ -1948,7 +1948,7 @@ proc ::tcl::clock::ParseClockScanFormat {formatString locale} { "day of week is greater than 7" } dict set date dayOfWeek $dow - } + } } y { lassign [LocaleNumeralMatcher $locale] regex lookup @@ -1996,7 +1996,7 @@ proc ::tcl::clock::ParseClockScanFormat {formatString locale} { # Get time zone if needed - if { ![dict exists $fieldSet seconds] + if { ![dict exists $fieldSet seconds] && ![dict exists $fieldSet starDate] } { if { [dict exists $fieldSet tzName] } { append procBody { @@ -2018,7 +2018,7 @@ proc ::tcl::clock::ParseClockScanFormat {formatString locale} { # Assemble seconds, and convert local nominal time to UTC. - if { ![dict exists $fieldSet seconds] + if { ![dict exists $fieldSet seconds] && ![dict exists $fieldSet starDate] } { append procBody { if { [dict get $date julianDay] > 5373484 } { @@ -2047,7 +2047,7 @@ proc ::tcl::clock::ParseClockScanFormat {formatString locale} { return $procName } - + #---------------------------------------------------------------------- # # LocaleNumeralMatcher -- @@ -2087,7 +2087,7 @@ proc ::tcl::clock::LocaleNumeralMatcher {l} { } return [dict get $LocaleNumeralCache $l] } - + #---------------------------------------------------------------------- @@ -2128,7 +2128,7 @@ proc ::tcl::clock::UniquePrefixRegexp { data } { foreach { key value } $data { - # Construct all prefixes of the key; + # Construct all prefixes of the key; set prefix {} foreach char [split $key {}] { @@ -2191,7 +2191,7 @@ proc ::tcl::clock::UniquePrefixRegexp { data } { # #---------------------------------------------------------------------- -proc ::tcl::clock::MakeUniquePrefixRegexp { successors +proc ::tcl::clock::MakeUniquePrefixRegexp { successors uniquePrefixMapping prefixString } { @@ -2322,7 +2322,7 @@ proc ::tcl::clock::MakeParseCodeFromFields { dateFields parseActions } { set currPrio $prio set currFieldPos $fPos set currCodeBurst $parseAction - + } return $currCodeBurst @@ -2401,7 +2401,7 @@ proc ::tcl::clock::EnterLocale { locale oldLocaleVar } { dict set McLoaded $locale {} } -} +} #---------------------------------------------------------------------- # @@ -2565,7 +2565,7 @@ proc ::tcl::clock::LocalizeFormat { locale format } { # string. Note that the order of the [string map] operations is # significant because later formats can refer to later ones; for example # %c can refer to %X, which in turn can refer to %T. - + set list { %% %% %D %m/%d/%Y @@ -2582,7 +2582,7 @@ proc ::tcl::clock::LocalizeFormat { locale format } { lappend list %c [string map $list [mc DATE_TIME_FORMAT]] lappend list %Ec [string map $list [mc LOCALE_DATE_TIME_FORMAT]] set format [string map $list $format] - + dict set McLoaded $locale FORMAT $inFormat $format return $format } @@ -2790,7 +2790,7 @@ proc ::tcl::clock::ScanWide { str } { # #---------------------------------------------------------------------- -proc ::tcl::clock::InterpretTwoDigitYear { date baseTime +proc ::tcl::clock::InterpretTwoDigitYear { date baseTime { twoDigitField yearOfCentury } { fourDigitField year } } { @@ -2886,7 +2886,7 @@ proc ::tcl::clock::AssignBaseIso8601Year {date baseTime timeZone changeover} { # # AssignBaseMonth -- # -# Places the number of the current year and month into a +# Places the number of the current year and month into a # dictionary. # # Parameters: @@ -3191,10 +3191,10 @@ proc ::tcl::clock::SetupTimeZone { timezone } { set TZData($timezone) [list [list $MINWIDE $offset -1 $timezone]] } elseif { [string index $timezone 0] eq {:} } { - + # Convert using a time zone file - if { + if { [catch { LoadTimeZoneFile [string range $timezone 1 end] }] @@ -3206,9 +3206,9 @@ proc ::tcl::clock::SetupTimeZone { timezone } { -errorcode [list CLOCK badTimeZone $timezone] \ "time zone \"$timezone\" not found" } - + } elseif { ![catch {ParsePosixTimeZone $timezone} tzfields] } { - + # This looks like a POSIX time zone - try to process it if { [catch {ProcessPosixTimeZone $tzfields} data opts] } { @@ -3255,7 +3255,7 @@ proc ::tcl::clock::SetupTimeZone { timezone } { # no time zone information supplied with Windows actually uses # them! # -# On a Windows system where neither $env(TCL_TZ) nor $env(TZ) is +# On a Windows system where neither $env(TCL_TZ) nor $env(TZ) is # specified, GuessWindowsTimeZone looks in the Registry for the # system time zone information. It then attempts to find an entry # in WinZoneInfo for a time zone that uses the same rules. If @@ -3378,7 +3378,7 @@ proc ::tcl::clock::GuessWindowsTimeZone {} { : [::format %02d $stdSecond] } dict set WinZoneInfo $data $tzname - } + } return [dict get $WinZoneInfo $data] @@ -3533,10 +3533,10 @@ proc ::tcl::clock::ReadZoneinfoFile {fileName fname} { if {$version eq "2"} { set seek [expr {44 - + 5 * $nTime - + 6 * $nType + + 5 * $nTime + + 6 * $nType + 4 * $nLeap - + $nIsStd + + $nIsStd + $nIsGMT + $nChar }] @@ -3652,7 +3652,7 @@ proc ::tcl::clock::ReadZoneinfoFile {fileName fname} { # The following keys are present in the dictionary: # stdName - Name of the time zone when Daylight Saving Time # is not in effect. -# stdSignum - Sign (+, -, or empty) of the offset from Greenwich +# stdSignum - Sign (+, -, or empty) of the offset from Greenwich # to the given (non-DST) time zone. + and the empty # string denote zones west of Greenwich, - denotes east # of Greenwich; this is contrary to the ISO convention @@ -3697,7 +3697,7 @@ proc ::tcl::clock::ReadZoneinfoFile {fileName fname} { # endHours, endMinutes, endSeconds - # Specify the end of DST in the same way that the start* fields # specify the beginning of DST. -# +# # This procedure serves only to break the time specifier into fields. # No attempt is made to canonicalize the fields or supply default values. # @@ -3715,8 +3715,8 @@ proc ::tcl::clock::ParsePosixTimeZone { tz } { ([[:digit:]]{1,2}) (?: # 4 - Standard time zone offset, minutes - : ([[:digit:]]{1,2}) - (?: + : ([[:digit:]]{1,2}) + (?: # 5 - Standard time zone offset, seconds : ([[:digit:]]{1,2} ) )? @@ -3732,8 +3732,8 @@ proc ::tcl::clock::ParsePosixTimeZone { tz } { ([[:digit:]]{1,2}) (?: # 9 - DST time zone offset, minutes - : ([[:digit:]]{1,2}) - (?: + : ([[:digit:]]{1,2}) + (?: # 10 - DST time zone offset, seconds : ([[:digit:]]{1,2}) )? @@ -3746,8 +3746,8 @@ proc ::tcl::clock::ParsePosixTimeZone { tz } { ( J ? ) ( [[:digit:]]+ ) | M # 13 - Month number 14 - Week of month 15 - Day of week - ( [[:digit:]] + ) - [.] ( [[:digit:]] + ) + ( [[:digit:]] + ) + [.] ( [[:digit:]] + ) [.] ( [[:digit:]] + ) ) (?: @@ -3768,8 +3768,8 @@ proc ::tcl::clock::ParsePosixTimeZone { tz } { ( J ? ) ( [[:digit:]]+ ) | M # 21 - Month number 22 - Week of month 23 - Day of week - ( [[:digit:]] + ) - [.] ( [[:digit:]] + ) + ( [[:digit:]] + ) + [.] ( [[:digit:]] + ) [.] ( [[:digit:]] + ) ) (?: @@ -3845,14 +3845,14 @@ proc ::tcl::clock::ProcessPosixTimeZone { z } { } else { set stdSignum -1 } - set stdHours [lindex [::scan [dict get $z stdHours] %d] 0] + set stdHours [lindex [::scan [dict get $z stdHours] %d] 0] if { [dict get $z stdMinutes] ne {} } { - set stdMinutes [lindex [::scan [dict get $z stdMinutes] %d] 0] + set stdMinutes [lindex [::scan [dict get $z stdMinutes] %d] 0] } else { set stdMinutes 0 } if { [dict get $z stdSeconds] ne {} } { - set stdSeconds [lindex [::scan [dict get $z stdSeconds] %d] 0] + set stdSeconds [lindex [::scan [dict get $z stdSeconds] %d] 0] } else { set stdSeconds 0 } @@ -3881,14 +3881,14 @@ proc ::tcl::clock::ProcessPosixTimeZone { z } { if { [dict get $z dstHours] eq {} } { set dstOffset [expr { 3600 + $stdOffset }] } else { - set dstHours [lindex [::scan [dict get $z dstHours] %d] 0] + set dstHours [lindex [::scan [dict get $z dstHours] %d] 0] if { [dict get $z dstMinutes] ne {} } { - set dstMinutes [lindex [::scan [dict get $z dstMinutes] %d] 0] + set dstMinutes [lindex [::scan [dict get $z dstMinutes] %d] 0] } else { set dstMinutes 0 } if { [dict get $z dstSeconds] ne {} } { - set dstSeconds [lindex [::scan [dict get $z dstSeconds] %d] 0] + set dstSeconds [lindex [::scan [dict get $z dstSeconds] %d] 0] } else { set dstSeconds 0 } @@ -3903,7 +3903,7 @@ proc ::tcl::clock::ProcessPosixTimeZone { z } { # US end time is the first Sunday in November. # EU end time is the last Sunday in October - if { [dict get $z startDayOfYear] eq {} + if { [dict get $z startDayOfYear] eq {} && [dict get $z startMonth] eq {} } { if {($stdSignum * $stdHours>=0) && ($stdSignum * $stdHours<=12)} { # EU @@ -3923,7 +3923,7 @@ proc ::tcl::clock::ProcessPosixTimeZone { z } { dict set z startMinutes 0 dict set z startSeconds 0 } - if { [dict get $z endDayOfYear] eq {} + if { [dict get $z endDayOfYear] eq {} && [dict get $z endMonth] eq {} } { if {($stdSignum * $stdHours>=0) && ($stdSignum * $stdHours<=12)} { # EU @@ -3964,8 +3964,8 @@ proc ::tcl::clock::ProcessPosixTimeZone { z } { } return $data - -} + +} #---------------------------------------------------------------------- # @@ -4000,7 +4000,7 @@ proc ::tcl::clock::DeterminePosixDSTTime { z bound y } { # Time was specified as a day of the year if { [dict get $z ${bound}J] ne {} - && [IsGregorianLeapYear $y] + && [IsGregorianLeapYear $y] && ( $doy > $FEB_28 ) } { incr doy } @@ -4078,7 +4078,7 @@ proc ::tcl::clock::GetLocaleEra { date etable } { [expr { [dict get $date year] % 100 }] } else { dict set date localeEra [lindex $etable $index 1] - dict set date localeYear [expr { [dict get $date year] + dict set date localeYear [expr { [dict get $date year] - [lindex $etable $index 2] }] } return $date @@ -4136,7 +4136,7 @@ proc ::tcl::clock::GetJulianDayFromEraYearDay {date changeover} { + ( $ym1 / 4 ) - ( $ym1 / 100 ) + ( $ym1 / 400 ) }] - + # If the date is before the Gregorian change, use the Julian calendar. if { $jd < $changeover } { @@ -4219,7 +4219,7 @@ proc ::tcl::clock::GetJulianDayFromEraYearMonthWeekDay {date changeover} { proc ::tcl::clock::IsGregorianLeapYear { date } { switch -exact -- [dict get $date era] { - BCE { + BCE { set year [expr { 1 - [dict get $date year]}] } CE { @@ -4415,7 +4415,7 @@ proc ::tcl::clock::add { clockval args } { } if { [catch { expr { wide($clockval) } } result] } { return -code error \ - "expected integer but got \"$clockval\"" + "expected integer but got \"$clockval\"" } if { ![string is boolean $gmt] } { return -code error \ @@ -4427,7 +4427,7 @@ proc ::tcl::clock::add { clockval args } { } EnterLocale $locale oldLocale - + set changeover [mc GREGORIAN_CHANGE_DATE] if {[catch {SetupTimeZone $timezone} retval opts]} { diff --git a/library/init.tcl b/library/init.tcl index 4981cd6..62729e6 100644 --- a/library/init.tcl +++ b/library/init.tcl @@ -12,7 +12,7 @@ # of this file, and for a DISCLAIMER OF ALL WARRANTIES. # -# This test intentionally written in pre-7.5 Tcl +# This test intentionally written in pre-7.5 Tcl if {[info commands package] == ""} { error "version mismatch: library\nscripts expect Tcl version 7.5b1 or later but the loaded version is\nonly [info patchlevel]" } @@ -346,7 +346,7 @@ proc unknown args { } } - if {([info level] == 1) && ([info script] eq "") + if {([info level] == 1) && ([info script] eq "") && [info exists tcl_interactive] && $tcl_interactive} { if {![info exists auto_noexec]} { set new [auto_execok $name] @@ -649,12 +649,8 @@ proc auto_execok name { } set auto_execs($name) "" - set shellBuiltins [list cls copy date del erase dir echo mkdir \ - md rename ren rmdir rd time type ver vol] - if {$tcl_platform(os) eq "Windows NT"} { - # NT includes the 'start' built-in - lappend shellBuiltins "start" - } + set shellBuiltins [list cls copy date del dir echo erase md mkdir \ + mklink rd ren rename rmdir start time type ver vol] if {[info exists env(PATHEXT)]} { # Add an initial ; to have the {} extension check first. set execExtensions [split ";$env(PATHEXT)" ";"] diff --git a/library/package.tcl b/library/package.tcl index 06f619c..3783722 100644 --- a/library/package.tcl +++ b/library/package.tcl @@ -40,7 +40,7 @@ proc tcl::Pkg::CompareExtension { fileName {ext {}} } { set currExt [file extension $root] if {$currExt eq $ext} { return 1 - } + } # The current extension does not match; if it is not a numeric # value, quit, as we are only looking to ignore version number @@ -289,22 +289,22 @@ proc pkg_mkIndex {args} { set ::tcl::type source } - # As a performance optimization, if we are creating - # direct load packages, don't bother figuring out the - # set of commands created by the new packages. We - # only need that list for setting up the autoloading + # As a performance optimization, if we are creating + # direct load packages, don't bother figuring out the + # set of commands created by the new packages. We + # only need that list for setting up the autoloading # used in the non-direct case. if { !$::tcl::direct } { # See what new namespaces appeared, and import commands # from them. Only exported commands go into the index. - + foreach ::tcl::x [::tcl::GetAllNamespaces] { if {! [info exists ::tcl::namespaces($::tcl::x)]} { namespace import -force ${::tcl::x}::* } # Figure out what commands appeared - + foreach ::tcl::x [info commands] { set ::tcl::newCmds($::tcl::x) 1 } @@ -313,18 +313,18 @@ proc pkg_mkIndex {args} { } foreach ::tcl::x [array names ::tcl::newCmds] { # determine which namespace a command comes from - + set ::tcl::abs [namespace origin $::tcl::x] - + # special case so that global names have no leading # ::, this is required by the unknown command - + set ::tcl::abs \ [lindex [auto_qualify $::tcl::abs ::] 0] - + if {$::tcl::x ne $::tcl::abs} { # Name changed during qualification - + set ::tcl::newCmds($::tcl::abs) 1 unset ::tcl::newCmds($::tcl::x) } @@ -437,7 +437,7 @@ proc tclPkgSetup {dir pkg version files} { set auto_index($cmd) [list load [file join $dir $f] $pkg] } else { set auto_index($cmd) [list source [file join $dir $f]] - } + } } } } @@ -466,7 +466,7 @@ proc tclPkgUnknown {name args} { set old_path [set use_path $auto_path] while {[llength $use_path]} { set dir [lindex $use_path end] - + # Make sure we only scan each directory one time. if {[info exists tclSeenPath($dir)]} { set use_path [lrange $use_path 0 end-1] @@ -500,7 +500,7 @@ proc tclPkgUnknown {name args} { set dir [lindex $use_path end] if {![info exists procdDirs($dir)]} { set file [file join $dir pkgIndex.tcl] - # safe interps usually don't have "file exists", + # safe interps usually don't have "file exists", if {([interp issafe] || [file exists $file])} { set code [catch {source $file} msg opt] if {$code == 1 && @@ -653,11 +653,11 @@ proc tcl::MacOSXPkgUnknown {original name args} { # # Any number of -load and -source parameters may be # specified, so long as there is at least one -load or -# -source parameter. If the procs component of a +# -source parameter. If the procs component of a # module specifier is left off, that module will be # set up for direct loading; otherwise, it will be # set up for lazy loading. If both -source and -load -# are specified, the -load'ed files will be loaded +# are specified, the -load'ed files will be loaded # first, followed by the -source'd files. # # Results: @@ -679,7 +679,7 @@ proc ::tcl::Pkg::Create {args} { if { $len < 6 } { error $err(wrongNumArgs) } - + # Initialize parameters array set opts {-name {} -version {} -source {} -load {}} @@ -715,14 +715,14 @@ proc ::tcl::Pkg::Create {args} { if { [llength $opts(-version)] == 0 } { error [format $err(valueMissing) "-version"] } - + if { [llength $opts(-source)] == 0 && [llength $opts(-load)] == 0 } { error $err(noLoadOrSource) } # OK, now everything is good. Generate the package ifneeded statment. set cmdline "package ifneeded $opts(-name) $opts(-version) " - + set cmdList {} set lazyFileList {} @@ -730,7 +730,7 @@ proc ::tcl::Pkg::Create {args} { foreach key {load source} { foreach filespec $opts(-$key) { lassign $filespec filename proclist - + if { [llength $proclist] == 0 } { set cmd "\[list $key \[file join \$dir [list $filename]\]\]" lappend cmdList $cmd @@ -748,4 +748,4 @@ proc ::tcl::Pkg::Create {args} { return $cmdline } -interp alias {} ::pkg::create {} ::tcl::Pkg::Create +interp alias {} ::pkg::create {} ::tcl::Pkg::Create diff --git a/library/platform/platform.tcl b/library/platform/platform.tcl index d510541..8dd91ee 100644 --- a/library/platform/platform.tcl +++ b/library/platform/platform.tcl @@ -331,7 +331,7 @@ proc ::platform::patterns {id} { lappend res macosx-universal macosx-i386-x86_64 } macosx*-* { - # 10.5+ + # 10.5+ if {[regexp {macosx([^-]*)-(.*)} $id -> v cpu]} { switch -exact -- $cpu { diff --git a/library/safe.tcl b/library/safe.tcl index 1a340a1..2dd4aed 100644 --- a/library/safe.tcl +++ b/library/safe.tcl @@ -4,7 +4,7 @@ # It implements a virtual path mecanism to hide the real pathnames from the # slave. It runs in a master interpreter and sets up data structure and # aliases that will be invoked when used from a slave interpreter. -# +# # See the safe.n man page for details. # # Copyright (c) 1996-1997 Sun Microsystems, Inc. @@ -36,7 +36,7 @@ proc ::safe::InterpStatics {} { upvar $v $v } set flag [::tcl::OptProcArgGiven -noStatics] - if {$flag && (!$noStatics == !$statics) + if {$flag && (!$noStatics == !$statics) && ([::tcl::OptProcArgGiven -statics])} { return -code error\ "conflicting values given for -statics and -noStatics" @@ -57,7 +57,7 @@ proc ::safe::InterpNested {} { set flag [::tcl::OptProcArgGiven -nestedLoadOk] # note that the test here is the opposite of the "InterpStatics" one # (it is not -noNested... because of the wanted default value) - if {$flag && (!$nestedLoadOk != !$nested) + if {$flag && (!$nestedLoadOk != !$nested) && ([::tcl::OptProcArgGiven -nested])} { return -code error\ "conflicting values given for -nested and -nestedLoadOk" @@ -238,7 +238,7 @@ proc ::safe::interpConfigure {args} { # # Returns the slave name. # -# Optional Arguments : +# Optional Arguments : # + slave name : if empty, generated name will be used # + access_path: path list controlling where load/source can occur, # if empty: the master auto_path will be used. @@ -249,7 +249,7 @@ proc ::safe::interpConfigure {args} { # use the full name and no indent so auto_mkIndex can find us proc ::safe::InterpCreate { - slave + slave access_path staticsok nestedok @@ -424,7 +424,7 @@ proc ::safe::interpAddToAccessPath {slave path} { # interpreter. It is useful when you want to install the safe base aliases # into a preexisting safe interpreter. proc ::safe::InterpInit { - slave + slave access_path staticsok nestedok @@ -563,7 +563,7 @@ proc ::safe::interpDelete {slave} { return } -# Set (or get) the logging mecanism +# Set (or get) the logging mecanism proc ::safe::setLogCmd {args} { variable Log @@ -823,7 +823,7 @@ proc ::safe::AliasSource {slave args} { return -code error $msg } set file [lindex $args $at] - + # get the real path from the virtual one. if {[catch { set realfile [TranslatePath $slave $file] @@ -831,7 +831,7 @@ proc ::safe::AliasSource {slave args} { Log $slave $msg return -code error "permission denied" } - + # check that the path is in the access path of that slave if {[catch { FileInAccessPath $slave $realfile diff --git a/library/tm.tcl b/library/tm.tcl index 7b9cafe..87db0df 100644 --- a/library/tm.tcl +++ b/library/tm.tcl @@ -191,7 +191,7 @@ proc ::tcl::tm::list {} { proc ::tcl::tm::UnknownHandler {original name args} { # Import the list of paths to search for packages in module form. - # Import the pattern used to check package names in detail. + # Import the pattern used to check package names in detail. variable paths variable pkgpattern -- cgit v0.12 From 48e066711f2f019314605b45c4b136118d9c1b45 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 30 Sep 2015 13:44:52 +0000 Subject: Mutch simpler solution to [219866c1e9]: In stead of filtering out version information from the string, make sure that ::platform::generic doesn't contain this version information in the first place. --- library/platform/platform.tcl | 13 ++++++------- 1 file changed, 6 insertions(+), 7 deletions(-) diff --git a/library/platform/platform.tcl b/library/platform/platform.tcl index 8dd91ee..c596e60 100644 --- a/library/platform/platform.tcl +++ b/library/platform/platform.tcl @@ -93,10 +93,13 @@ proc ::platform::generic {} { } } - switch -- $plat { + switch -glob -- $plat { + cygwin* { + set plat cygwin + } windows { if {$tcl_platform(platform) == "unix"} { - set plat cygwin_nt + set plat cygwin } else { set plat win32 } @@ -104,7 +107,6 @@ proc ::platform::generic {} { # Do not check wordSize, win32-x64 is an IL32P64 platform. set cpu x86_64 } - append plat -$tcl_platform(osVersion) } sunos { set plat solaris @@ -163,12 +165,9 @@ proc ::platform::identify {} { global tcl_platform set id [generic] - regexp {^([^-]+)(-[0-9\.]+)?(-wow)?-([^-]+)$} $id -> plat ver wow cpu + regexp {^([^-]+)-([^-]+)$} $id -> plat ver wow cpu switch -- $plat { - cygwin_nt { - return "${plat}-${cpu}" - } solaris { regsub {^5} $tcl_platform(osVersion) 2 text append plat $text -- cgit v0.12 From 03a3a2d78e1c26683170d32685d3f4d3b9ed902d Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 1 Oct 2015 11:04:19 +0000 Subject: Eliminate a few gcc compiler warnings, when using -Wwrite-strings (tested with the brand-new gcc 5.2.0) --- generic/tclCmdAH.c | 8 ++++---- generic/tclCmdMZ.c | 6 ++++-- generic/tclExecute.c | 30 +++++++++++++++--------------- generic/tclLiteral.c | 11 ++++++----- generic/tclObj.c | 42 +++++++++++++++++++++--------------------- generic/tclTest.c | 6 +++--- unix/tclUnixChan.c | 10 +++++----- unix/tclUnixNotfy.c | 2 +- unix/tclUnixTest.c | 2 +- 9 files changed, 60 insertions(+), 57 deletions(-) diff --git a/generic/tclCmdAH.c b/generic/tclCmdAH.c index 7f0df83..5484002 100644 --- a/generic/tclCmdAH.c +++ b/generic/tclCmdAH.c @@ -25,7 +25,7 @@ static int EncodingDirsObjCmd(ClientData dummy, Tcl_Obj *const objv[]); static int GetStatBuf(Tcl_Interp *interp, Tcl_Obj *pathPtr, Tcl_FSStatProc *statProc, Tcl_StatBuf *statPtr); -static char * GetTypeFromMode(int mode); +static const char * GetTypeFromMode(int mode); static int StoreStatData(Tcl_Interp *interp, Tcl_Obj *varName, Tcl_StatBuf *statPtr); @@ -1289,7 +1289,7 @@ Tcl_FileObjCmd( return TCL_ERROR; } if (objc == 2) { - char *separator = NULL; /* lint */ + const char *separator = NULL; /* lint */ switch (tclPlatform) { case TCL_PLATFORM_UNIX: @@ -1554,7 +1554,7 @@ StoreStatData( *---------------------------------------------------------------------- */ -static char * +static const char * GetTypeFromMode( int mode) { @@ -1757,7 +1757,7 @@ Tcl_ForeachObjCmd( maxj = 0; for (i=0 ; imarkerPtr = tmpMarkerPtr; - memStart = tmpMarkerPtr + offset; + memStart = tmpMarkerPtr + offset; esPtr->tosPtr = memStart - 1; *esPtr->markerPtr = (Tcl_Obj *) markerPtr; return memStart; @@ -982,7 +982,7 @@ GrowEvaluationStack( esPtr->markerPtr = &esPtr->stackWords[0]; memStart = MEMSTART(esPtr->markerPtr); esPtr->tosPtr = memStart - 1; - + if (move) { memcpy(memStart, MEMSTART(markerPtr), moveWords*sizeof(Tcl_Obj *)); esPtr->tosPtr += moveWords; @@ -1486,19 +1486,19 @@ TclCompEvalObj( * Note: Type BC => ctx.data.eval.path is not used. * ctx.data.tebc.codePtr used instead */ - + TclGetSrcInfoForPc(ctxPtr); if (ctxPtr->type == TCL_LOCATION_SOURCE) { /* * The reference made by 'TclGetSrcInfoForPc' is * dead. */ - + Tcl_DecrRefCount(ctxPtr->data.eval.path); ctxPtr->data.eval.path = NULL; } } - + if (word < ctxPtr->nline) { /* * Note: We do not care if the line[word] is -1. This @@ -1510,15 +1510,15 @@ TclCompEvalObj( * test info-32.0 using literal of info-24.8 * (dict with ... vs set body ...). */ - + redo = ((eclPtr->type == TCL_LOCATION_SOURCE) && (eclPtr->start != ctxPtr->line[word])) || ((eclPtr->type == TCL_LOCATION_BC) && (ctxPtr->type == TCL_LOCATION_SOURCE)); } - + TclStackFree(interp, ctxPtr); - + if (redo) { goto recompileObj; } @@ -1778,7 +1778,7 @@ TclExecuteByteCode( int traceInstructions = (tclTraceExec == 3); char cmdNameBuf[21]; #endif - char *curInstName = NULL; + const char *curInstName = NULL; /* * The execution uses a unified stack: first the catch stack, immediately @@ -5802,9 +5802,9 @@ TclExecuteByteCode( /* * We refuse to accept exponent arguments that exceed * one mp_digit which means the max exponent value is - * 2**28-1 = 0x0fffffff = 268435455, which fits into + * 2**28-1 = 0x0fffffff = 268435455, which fits into * a signed 32 bit int which is within the range of the - * long int type. This means any numeric Tcl_Obj value + * long int type. This means any numeric Tcl_Obj value * not using TCL_NUMBER_LONG type must hold a value larger * than we accept. */ diff --git a/generic/tclLiteral.c b/generic/tclLiteral.c index 6a617b0..fb7c28a 100644 --- a/generic/tclLiteral.c +++ b/generic/tclLiteral.c @@ -153,7 +153,7 @@ TclDeleteLiteralTable( * Find, or if necessary create, an object in the interpreter's literal * table that has a string representation matching the argument * string. If nsPtr!=NULL then only literals stored for the namespace are - * considered. + * considered. * * Results: * The literal object. If it was created in this call *newPtr is set to @@ -161,7 +161,7 @@ TclDeleteLiteralTable( * * Side effects: * Increments the ref count of the global LiteralEntry since the caller - * now holds a reference. + * now holds a reference. * If LITERAL_ON_HEAP is set in flags, this function is given ownership * of the string: if an object is created then its string representation * is set directly from string, otherwise the string is freed. Typically, @@ -186,7 +186,7 @@ TclCreateLiteral( LiteralEntry *globalPtr; int globalHash; Tcl_Obj *objPtr; - + /* * Is it in the interpreter's global literal table? */ @@ -709,7 +709,7 @@ ExpandLocalLiteralArray( if (currArrayPtr != newArrayPtr) { for (i=0 ; inumBuckets; oldBuckets = tablePtr->buckets; diff --git a/generic/tclObj.c b/generic/tclObj.c index d278b1f..230842a 100644 --- a/generic/tclObj.c +++ b/generic/tclObj.c @@ -569,7 +569,7 @@ TclContinuationsEnter(Tcl_Obj* objPtr, Tcl_HashEntry* hPtr = Tcl_CreateHashEntry (tsdPtr->lineCLPtr, (char*) objPtr, &newEntry); - ContLineLoc* clLocPtr = + ContLineLoc* clLocPtr = (ContLineLoc*) ckalloc (sizeof(ContLineLoc) + num*sizeof(int)); if (!newEntry) { @@ -675,7 +675,7 @@ TclContinuationsEnterDerived(Tcl_Obj* objPtr, int start, int* clNext) num = wordCLLast - clNext; if (num) { int i; - ContLineLoc* clLocPtr = + ContLineLoc* clLocPtr = TclContinuationsEnter(objPtr, num, clNext); /* @@ -1371,10 +1371,10 @@ TclFreeObj( */ objPtr->refCount = -1; - /* Invalidate the string rep first so we can use the bytes value + /* Invalidate the string rep first so we can use the bytes value * for our pointer chain, and signal an obj deletion (as opposed - * to shimmering) with 'length == -1' */ - + * to shimmering) with 'length == -1' */ + TclInvalidateStringRep(objPtr); objPtr->length = -1; @@ -1436,13 +1436,13 @@ void TclFreeObj( register Tcl_Obj *objPtr) /* The object to be freed. */ { - /* Invalidate the string rep first so we can use the bytes value + /* Invalidate the string rep first so we can use the bytes value * for our pointer chain, and signal an obj deletion (as opposed - * to shimmering) with 'length == -1' */ + * to shimmering) with 'length == -1' */ TclInvalidateStringRep(objPtr); objPtr->length = -1; - + if (!objPtr->typePtr || !objPtr->typePtr->freeIntRepProc) { /* * objPtr can be freed safely, as it will not attempt to free any @@ -2799,7 +2799,7 @@ Tcl_GetLongFromObj( tooLarge: #endif if (interp != NULL) { - char *s = "integer value too large to represent"; + const char *s = "integer value too large to represent"; Tcl_Obj *msg = Tcl_NewStringObj(s, -1); Tcl_SetObjResult(interp, msg); @@ -3098,7 +3098,7 @@ Tcl_GetWideIntFromObj( } } if (interp != NULL) { - char *s = "integer value too large to represent"; + const char *s = "integer value too large to represent"; Tcl_Obj* msg = Tcl_NewStringObj(s, -1); Tcl_SetObjResult(interp, msg); @@ -4084,7 +4084,7 @@ Tcl_GetCommandFromObj( * is not deleted. * * If any check fails, then force another conversion to the command type, - * to discard the old rep and create a new one. + * to discard the old rep and create a new one. */ resPtr = (ResolvedCmdName *) objPtr->internalRep.twoPtrValue.ptr1; @@ -4094,15 +4094,15 @@ Tcl_GetCommandFromObj( || (cmdPtr->flags & CMD_IS_DELETED) || (interp != cmdPtr->nsPtr->interp) || (cmdPtr->nsPtr->flags & NS_DYING) - || ((resPtr->refNsPtr != NULL) && + || ((resPtr->refNsPtr != NULL) && (((refNsPtr = (Namespace *) TclGetCurrentNamespace(interp)) != resPtr->refNsPtr) || (resPtr->refNsId != refNsPtr->nsId) || (resPtr->refNsCmdEpoch != refNsPtr->cmdRefEpoch))) ) { - + result = tclCmdNameType.setFromAnyProc(interp, objPtr); - + resPtr = (ResolvedCmdName *) objPtr->internalRep.twoPtrValue.ptr1; if ((result == TCL_OK) && resPtr) { cmdPtr = resPtr->cmdPtr; @@ -4110,7 +4110,7 @@ Tcl_GetCommandFromObj( cmdPtr = NULL; } } - + return (Tcl_Command) cmdPtr; } @@ -4162,7 +4162,7 @@ TclSetCmdNameObj( if ((*name++ == ':') && (*name == ':')) { /* * The name is fully qualified: set the referring namespace to - * NULL. + * NULL. */ resPtr->refNsPtr = NULL; @@ -4172,7 +4172,7 @@ TclSetCmdNameObj( */ currNsPtr = iPtr->varFramePtr->nsPtr; - + resPtr->refNsPtr = currNsPtr; resPtr->refNsId = currNsPtr->nsId; resPtr->refNsCmdEpoch = currNsPtr->cmdRefEpoch; @@ -4332,7 +4332,7 @@ SetCmdNameFromAny( /* * Reuse the old ResolvedCmdName struct instead of freeing it */ - + Command *oldCmdPtr = resPtr->cmdPtr; if (--oldCmdPtr->refCount == 0) { TclCleanupCommandMacro(oldCmdPtr); @@ -4349,8 +4349,8 @@ SetCmdNameFromAny( resPtr->cmdEpoch = cmdPtr->cmdEpoch; if ((*name++ == ':') && (*name == ':')) { /* - * The name is fully qualified: set the referring namespace to - * NULL. + * The name is fully qualified: set the referring namespace to + * NULL. */ resPtr->refNsPtr = NULL; @@ -4360,7 +4360,7 @@ SetCmdNameFromAny( */ currNsPtr = iPtr->varFramePtr->nsPtr; - + resPtr->refNsPtr = currNsPtr; resPtr->refNsId = currNsPtr->nsId; resPtr->refNsCmdEpoch = currNsPtr->cmdRefEpoch; diff --git a/generic/tclTest.c b/generic/tclTest.c index 5b51baa..1d92ff5 100644 --- a/generic/tclTest.c +++ b/generic/tclTest.c @@ -909,7 +909,7 @@ TestasyncCmd( static int AsyncHandlerProc( - ClientData clientData, /* If of TestAsyncHandler structure. + ClientData clientData, /* If of TestAsyncHandler structure. * in global list. */ Tcl_Interp *interp, /* Interpreter in which command was * executed, or NULL. */ @@ -3606,7 +3606,7 @@ PrintParse( Tcl_Parse *parsePtr) /* Parse structure to print out. */ { Tcl_Obj *objPtr; - char *typeString; + const char *typeString; Tcl_Token *tokenPtr; int i; @@ -6518,7 +6518,7 @@ TestGetIndexFromObjStructObjCmd( int objc, /* Number of arguments. */ Tcl_Obj *const objv[]) /* Argument objects. */ { - char *ary[] = { + const char *ary[] = { "a", "b", "c", "d", "e", "f", NULL, NULL }; int idx,target; diff --git a/unix/tclUnixChan.c b/unix/tclUnixChan.c index a0d9811..8448b77 100644 --- a/unix/tclUnixChan.c +++ b/unix/tclUnixChan.c @@ -2181,7 +2181,7 @@ TcpGetOptionProc( * We don't want to resolve INADDR_ANY; it can sometimes cause * problems (and never has a name). */ - + hostEntPtr = NULL; } else { hostEntPtr = TclpGetHostByAddr( /* INTL: Native. */ @@ -2292,7 +2292,7 @@ TcpWatchProc( * to the guarantees Tcl makes that its channels become * writable and fire writable events on an error conditon. * This has caused a leak of file descriptors in a state of - * background flushing. See Tcl ticket 1758a0b603. + * background flushing. See Tcl ticket 1758a0b603. * * As a workaround, when our caller indicates an interest in * writable notifications, we must tell the notifier built @@ -2303,7 +2303,7 @@ TcpWatchProc( * channel states and report the chan events as best it can. * We save a copy of the mask passed in to assist with that. */ - + statePtr->interest = mask; Tcl_CreateFileHandler(statePtr->fd, mask|TCL_READABLE, (Tcl_FileProc *) WrapNotify, (ClientData) statePtr); @@ -2927,7 +2927,7 @@ TclpGetDefaultStdChannel( Tcl_Channel channel = NULL; int fd = 0; /* Initializations needed to prevent */ int mode = 0; /* compiler warning (used before set). */ - char *bufMode = NULL; + const char *bufMode = NULL; /* * Some #def's to make the code a little clearer! @@ -3216,7 +3216,7 @@ TclUnixWaitForFile( if (FD_ISSET(fd, &writableMask)) { SET_BITS(result, TCL_WRITABLE); } - if (FD_ISSET(fd, &exceptionalMask)) { + if (FD_ISSET(fd, &exceptionalMask)) { SET_BITS(result, TCL_EXCEPTION); } result &= mask; diff --git a/unix/tclUnixNotfy.c b/unix/tclUnixNotfy.c index 5c7f8b5..2df704b 100644 --- a/unix/tclUnixNotfy.c +++ b/unix/tclUnixNotfy.c @@ -238,7 +238,7 @@ typedef struct { void *hCursor; void *hbrBackground; void *lpszMenuName; - void *lpszClassName; + const void *lpszClassName; } WNDCLASS; extern void __stdcall CloseHandle(void *); diff --git a/unix/tclUnixTest.c b/unix/tclUnixTest.c index 0747c2d..722ded9 100644 --- a/unix/tclUnixTest.c +++ b/unix/tclUnixTest.c @@ -53,7 +53,7 @@ static Pipe testPipes[MAX_PIPES]; * The stuff below is used by the testalarm and testgotsig ommands. */ -static char *gotsig = "0"; +static const char *gotsig = "0"; /* * Forward declarations of functions defined later in this file: -- cgit v0.12 From 5cfe99ddfef51d700eee80c9f766fab9c458038e Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Sun, 4 Oct 2015 10:10:58 +0000 Subject: Eliminate unnessessary end-of-line spacing. No functional change. --- generic/tclCompCmds.c | 4 +- generic/tclDictObj.c | 2 +- generic/tclEvent.c | 2 +- generic/tclFCmd.c | 2 +- generic/tclHistory.c | 8 +- generic/tclParse.c | 2 +- generic/tclStrToD.c | 198 ++++++++++++++++++++++----------------------- generic/tclStringObj.c | 4 +- generic/tclThreadStorage.c | 12 +-- generic/tclUtil.c | 50 ++++++------ unix/tclUnixNotfy.c | 2 +- 11 files changed, 143 insertions(+), 143 deletions(-) diff --git a/generic/tclCompCmds.c b/generic/tclCompCmds.c index 106c293..3b234b0 100644 --- a/generic/tclCompCmds.c +++ b/generic/tclCompCmds.c @@ -5913,7 +5913,7 @@ TclCompileGlobalCmd( return TCL_ERROR; } - /* TODO: Consider what values can pass through the + /* TODO: Consider what values can pass through the * IndexTailVarIfKnown() screen. Full CompileWord() * likely does not apply here. Push known value instead. */ CompileWord(envPtr, varTokenPtr, interp, i); @@ -5988,7 +5988,7 @@ TclCompileVariableCmd( return TCL_ERROR; } - /* TODO: Consider what values can pass through the + /* TODO: Consider what values can pass through the * IndexTailVarIfKnown() screen. Full CompileWord() * likely does not apply here. Push known value instead. */ CompileWord(envPtr, varTokenPtr, interp, i); diff --git a/generic/tclDictObj.c b/generic/tclDictObj.c index 4adc5ce..4fec2c1 100644 --- a/generic/tclDictObj.c +++ b/generic/tclDictObj.c @@ -593,7 +593,7 @@ SetDictFromAny( } for (i=0 ; itype = TCL_TOKEN_SIMPLE_WORD; tokenPtr->numComponents = 1; diff --git a/generic/tclStrToD.c b/generic/tclStrToD.c index ec5e764..cff9bdd 100644 --- a/generic/tclStrToD.c +++ b/generic/tclStrToD.c @@ -64,7 +64,7 @@ typedef unsigned int fpu_control_t __attribute__ ((__mode__ (__HI__))); /* * MIPS floating-point units need special settings in control registers * to use gradual underflow as we expect. This fix is for the MIPSpro - * compiler. + * compiler. */ #if defined(__sgi) && defined(_COMPILER_VERSION) #include @@ -102,7 +102,7 @@ typedef unsigned int fpu_control_t __attribute__ ((__mode__ (__HI__))); /* Mask for the exponent field in the * first word of a double */ #define EXP_SHIFT 20 - /* Shift count to make the exponent an + /* Shift count to make the exponent an * integer */ #define HIDDEN_BIT (((Tcl_WideUInt) 0x00100000) << 32) /* Hidden 1 bit for the significand */ @@ -263,7 +263,7 @@ static const Tcl_WideUInt wuipow5[27] = { * Static functions defined in this file. */ -static int AccumulateDecimalDigit(unsigned, int, +static int AccumulateDecimalDigit(unsigned, int, Tcl_WideUInt *, mp_int *, int); static double MakeHighPrecisionDouble(int signum, mp_int *significand, int nSigDigs, int exponent); @@ -286,7 +286,7 @@ static void ComputeScale(int, int, int*, int*, int*, int*); static void SetPrecisionLimits(int, int, int*, int*, int*, int*); static char* BumpUp(char*, char*, int*); static int AdjustRange(double*, int); -static char* ShorteningQuickFormat(double, int, int, double, +static char* ShorteningQuickFormat(double, int, int, double, char*, int*); static char* StrictQuickFormat(double, int, int, double, char*, int*); @@ -302,15 +302,15 @@ static char* StrictInt64Conversion(Double*, int, Tcl_WideUInt, static int ShouldBankerRoundUpPowD(mp_int*, int, int); static int ShouldBankerRoundUpToNextPowD(mp_int*, mp_int*, int, int, int, mp_int*); -static char* ShorteningBignumConversionPowD(Double* dPtr, +static char* ShorteningBignumConversionPowD(Double* dPtr, int convType, Tcl_WideUInt bw, int b2, int b5, int m2plus, int m2minus, int m5, - int sd, int k, int len, + int sd, int k, int len, int ilim, int ilim1, int* decpt, char** endPtr); static char* StrictBignumConversionPowD(Double* dPtr, int convType, Tcl_WideUInt bw, int b2, int b5, - int sd, int k, int len, + int sd, int k, int len, int ilim, int ilim1, int* decpt, char** endPtr); static int ShouldBankerRoundUp(mp_int*, mp_int*, int); @@ -319,12 +319,12 @@ static int ShouldBankerRoundUpToNext(mp_int*, mp_int*, mp_int*, static char* ShorteningBignumConversion(Double* dPtr, int convType, Tcl_WideUInt bw, int b2, int m2plus, int m2minus, - int s2, int s5, int k, int len, + int s2, int s5, int k, int len, int ilim, int ilim1, int* decpt, char** endPtr); static char* StrictBignumConversion(Double* dPtr, int convType, Tcl_WideUInt bw, int b2, - int s2, int s5, int k, int len, + int s2, int s5, int k, int len, int ilim, int ilim1, int* decpt, char** endPtr); static double BignumToBiasedFrExp(mp_int *big, int *machexp); @@ -1905,7 +1905,7 @@ RefineApproximation( if ((rteSigWide & 1) == 0) { return approxResult; } - } + } /* * Convert the numerator and denominator of the corrector term accurately @@ -1994,7 +1994,7 @@ NormalizeRightward(Tcl_WideUInt* wPtr) Tcl_WideUInt w = *wPtr; if (!(w & (Tcl_WideUInt) 0xffffffff)) { w >>= 32; rv += 32; - } + } if (!(w & (Tcl_WideUInt) 0xffff)) { w >>= 16; rv += 16; } @@ -2145,7 +2145,7 @@ TakeAbsoluteValue(Double* d, /* Number to replace with absolute value */ * * Side effects: * Stores 9999 in *decpt, and sets '*endPtr' to designate the - * terminating NUL byte of the string if 'endPtr' is not NULL. + * terminating NUL byte of the string if 'endPtr' is not NULL. * * The string returned must be freed by the caller using 'ckfree'. * @@ -2233,8 +2233,8 @@ ApproximateLog10(Tcl_WideUInt bw, /* * Compute i and d2 such that d = d2*2**i, and 1 < d2 < 2. - * Compute an approximation to log10(d), - * log10(d) ~ log10(2) * i + log10(1.5) + * Compute an approximation to log10(d), + * log10(d) ~ log10(2) * i + log10(1.5) * + (significand-1.5)/(1.5 * log(10)) */ @@ -2274,7 +2274,7 @@ BetterLog10(double d, /* Original number to format */ int k, /* Characteristic(Log base 10) of the number */ int* k_check) /* Flag == 1 if k is inexact */ { - /* + /* * Performance hack. If k is in the range 0..TEN_PMAX, then we can * use a powers-of-ten table to check it. */ @@ -2318,7 +2318,7 @@ ComputeScale(int be, /* Exponent part of number: d = bw * 2**be */ int* s5) /* OUTPUT: Power of 5 in the denominator */ { - /* + /* * Scale numerator and denominator powers of 2 so that the * input binary number is the ratio of integers */ @@ -2330,7 +2330,7 @@ ComputeScale(int be, /* Exponent part of number: d = bw * 2**be */ *s2 = 0; } - /* + /* * Scale numerator and denominator so that the output decimal number * is the ratio of integers */ @@ -2438,7 +2438,7 @@ SetPrecisionLimits(int convType, inline static char* BumpUp(char* s, /* Cursor pointing one past the end of the - * string */ + * string */ char* retval, /* Start of the string of digits */ int* kPtr) /* Position of the decimal point */ { @@ -2527,7 +2527,7 @@ AdjustRange(double* dPtr, /* INOUT: Number to adjust */ * * Returns a 'quick' format of a double precision number to a string * of digits, preferring a shorter string of digits if the shorter - * string is still within 1/2 ulp of the number. + * string is still within 1/2 ulp of the number. * * Results: * Returns the string of digits. Returns NULL if the 'quick' method @@ -2638,7 +2638,7 @@ StrictQuickFormat(double d, /* Number to convert */ } *s++ = '0' + digit; - /* + /* * When the given digit count is reached, handle trailing strings * of 0 and 9. */ @@ -2852,13 +2852,13 @@ ShorteningInt64Conversion(Double* dPtr, /* OUTPUT: Position of the terminal '\0' * at the end of the returned string */ { - + char* retval = ckalloc(len + 1); /* Output buffer */ Tcl_WideUInt b = (bw * wuipow5[b5]) << b2; /* Numerator of the fraction being converted */ Tcl_WideUInt S = wuipow5[s5] << s2; - /* Denominator of the fraction being + /* Denominator of the fraction being * converted */ Tcl_WideUInt mplus, mminus; /* Ranges for testing whether the result * is within roundoff of being exact */ @@ -2890,7 +2890,7 @@ ShorteningInt64Conversion(Double* dPtr, } b = b % S; - /* + /* * Does the current digit put us on the low side of the exact value * but within within roundoff of being exact? */ @@ -2948,16 +2948,16 @@ ShorteningInt64Conversion(Double* dPtr, } break; } - + /* Advance to the next digit */ - + b = 10 * b; mplus = 10 * mplus; mminus = 10 * mminus; ++i; } - /* + /* * Endgame - store the location of the decimal point and the end of the * string. */ @@ -3020,13 +3020,13 @@ StrictInt64Conversion(Double* dPtr, /* OUTPUT: Position of the terminal '\0' * at the end of the returned string */ { - + char* retval = ckalloc(len + 1); /* Output buffer */ Tcl_WideUInt b = (bw * wuipow5[b5]) << b2; /* Numerator of the fraction being converted */ Tcl_WideUInt S = wuipow5[s5] << s2; - /* Denominator of the fraction being + /* Denominator of the fraction being * converted */ int digit; /* Current output digit */ char* s = retval; /* Cursor in the output buffer */ @@ -3066,14 +3066,14 @@ StrictInt64Conversion(Double* dPtr, } break; } - + /* Advance to the next digit */ - + b = 10 * b; ++i; } - /* + /* * Endgame - store the location of the decimal point and the end of the * string. */ @@ -3144,10 +3144,10 @@ ShouldBankerRoundUpToNextPowD(mp_int* b, /* Numerator of the fraction */ mp_int* m, /* Numerator of the rounding tolerance */ - int sd, + int sd, /* Common denominator is 2**(sd*DIGIT_BIT) */ int convType, - /* Conversion type: STEELE defeats + /* Conversion type: STEELE defeats * round-to-even (Not sure why one wants to * do this; I copied it from Gay) FIXME */ int isodd, @@ -3157,7 +3157,7 @@ ShouldBankerRoundUpToNextPowD(mp_int* b, { int i; - /* + /* * Compare B and S-m -- which is the same as comparing B+m and S -- * which we do by computing b+m and doing a bitwhack compare against * 2**(DIGIT_BIT*sd) @@ -3238,7 +3238,7 @@ ShorteningBignumConversionPowD(Double* dPtr, /* OUTPUT: Position of the terminal '\0' * at the end of the returned string */ { - + char* retval = ckalloc(len + 1); /* Output buffer */ mp_int b; /* Numerator of the fraction being converted */ @@ -3249,7 +3249,7 @@ ShorteningBignumConversionPowD(Double* dPtr, mp_int temp; int r1; - /* + /* * b = bw * 2**b2 * 5**b5 * mminus = 5**m5 */ @@ -3296,11 +3296,11 @@ ShorteningBignumConversionPowD(Double* dPtr, --b.used; mp_clamp(&b); } - /* + /* * Does the current digit put us on the low side of the exact value * but within within roundoff of being exact? */ - + r1 = mp_cmp_mag(&b, (m2plus > m2minus)? &mplus : &mminus); if (r1 == MP_LT || (r1 == MP_EQ @@ -3329,8 +3329,8 @@ ShorteningBignumConversionPowD(Double* dPtr, * Does one plus the current digit put us within roundoff of the * number? */ - - if (ShouldBankerRoundUpToNextPowD(&b, &mminus, sd, + + if (ShouldBankerRoundUpToNextPowD(&b, &mminus, sd, convType, dPtr->w.word1 & 1, &temp)) { if (digit == 9) { @@ -3353,9 +3353,9 @@ ShorteningBignumConversionPowD(Double* dPtr, } break; } - + /* Advance to the next digit */ - + mp_mul_d(&b, 10, &b); mp_mul_d(&mminus, 10, &mminus); if (m2plus > m2minus) { @@ -3364,7 +3364,7 @@ ShorteningBignumConversionPowD(Double* dPtr, ++i; } - /* + /* * Endgame - store the location of the decimal point and the end of the * string. */ @@ -3388,7 +3388,7 @@ ShorteningBignumConversionPowD(Double* dPtr, * Converts a double-precision number to a fixed-lengt string of * 'ilim' digits (or 'ilim1' if log10(d) has been overestimated.) * The denominator in David Gay's conversion algorithm is known to - * be a power of 2**DIGIT_BIT, and hence the division in the main + * be a power of 2**DIGIT_BIT, and hence the division in the main * loop may be replaced by a digit shift and mask. * * Results: @@ -3430,7 +3430,7 @@ StrictBignumConversionPowD(Double* dPtr, /* OUTPUT: Position of the terminal '\0' * at the end of the returned string */ { - + char* retval = ckalloc(len + 1); /* Output buffer */ mp_int b; /* Numerator of the fraction being converted */ @@ -3439,7 +3439,7 @@ StrictBignumConversionPowD(Double* dPtr, int i; /* Index in the output buffer */ mp_int temp; - /* + /* * b = bw * 2**b2 * 5**b5 */ @@ -3456,9 +3456,9 @@ StrictBignumConversionPowD(Double* dPtr, } mp_init(&temp); - /* + /* * Loop through the digits. Do division and mod by s == 2**(sd*DIGIT_BIT) - * by mp_digit extraction + * by mp_digit extraction */ i = 1; @@ -3488,14 +3488,14 @@ StrictBignumConversionPowD(Double* dPtr, } break; } - + /* Advance to the next digit */ - + mp_mul_d(&b, 10, &b); ++i; } - /* + /* * Endgame - store the location of the decimal point and the end of the * string. */ @@ -3592,7 +3592,7 @@ ShouldBankerRoundUpToNext(mp_int* b, Tcl_Panic("in ShouldBankerRoundUpToNext, trichotomy fails!"); return 0; } - + /* *----------------------------------------------------------------------------- * @@ -3662,10 +3662,10 @@ ShorteningBignumConversion(Double* dPtr, MulPow5(&S, s5, &S); mp_mul_2d(&S, s2, &S); /* - * Handle the case where we guess the position of the decimal point - * wrong. + * Handle the case where we guess the position of the decimal point + * wrong. */ - + if (mp_cmp_mag(&b, &S) == MP_LT) { mp_mul_d(&b, 10, &b); minit = 10; @@ -3694,7 +3694,7 @@ ShorteningBignumConversion(Double* dPtr, } digit = dig.dp[0]; - /* + /* * Does the current digit leave us with a remainder small enough to * round to it? */ @@ -3740,7 +3740,7 @@ ShorteningBignumConversion(Double* dPtr, if (i == ilim) { mp_mul_2d(&b, 1, &b); if (ShouldBankerRoundUp(&b, &S, digit&1)) { - s = BumpUp(s, retval, &k); + s = BumpUp(s, retval, &k); } break; } @@ -3757,7 +3757,7 @@ ShorteningBignumConversion(Double* dPtr, } mp_div_d(&S, 5, &S, NULL); --s5; - /* + /* * IDEA: It might possibly be a win to fall back to * int64 arithmetic here if S < 2**64/10. But it's * a win only for a fairly narrow range of magnitudes @@ -3767,7 +3767,7 @@ ShorteningBignumConversion(Double* dPtr, * Possible savings: * 10**26 1 trip through loop before fallback possible * 10**27 1 trip - * 10**28 2 trips + * 10**28 2 trips * 10**29 3 trips * 10**30 4 trips * 10**31 5 trips @@ -3796,7 +3796,7 @@ ShorteningBignumConversion(Double* dPtr, } - /* + /* * Endgame - store the location of the decimal point and the end of the * string. */ @@ -3812,7 +3812,7 @@ ShorteningBignumConversion(Double* dPtr, return retval; } - + /* *----------------------------------------------------------------------------- * @@ -3862,7 +3862,7 @@ StrictBignumConversion(Double* dPtr, mp_int temp; /* Work area */ int g; /* Size of the current digit groun */ int i, j; - + /* * b = bw * 2**b2 * 5**b5 * S = 2**s2 * 5*s5 @@ -3875,10 +3875,10 @@ StrictBignumConversion(Double* dPtr, MulPow5(&S, s5, &S); mp_mul_2d(&S, s2, &S); /* - * Handle the case where we guess the position of the decimal point - * wrong. + * Handle the case where we guess the position of the decimal point + * wrong. */ - + if (mp_cmp_mag(&b, &S) == MP_LT) { mp_mul_d(&b, 10, &b); ilim =ilim1; @@ -3900,7 +3900,7 @@ StrictBignumConversion(Double* dPtr, if (++i >= ilim) { mp_mul_2d(&b, 1, &b); if (ShouldBankerRoundUp(&b, &S, digit&1)) { - s = BumpUp(s, retval, &k); + s = BumpUp(s, retval, &k); } } else { @@ -3923,7 +3923,7 @@ StrictBignumConversion(Double* dPtr, mp_mul_d(&b, dpow5[g], &b); } mp_mul_2d(&b, g, &b); - + /* * As with the shortening bignum conversion, it's possible at * this point that we will have reduced the denominator to @@ -3936,7 +3936,7 @@ StrictBignumConversion(Double* dPtr, */ /* Extract the next group of digits */ - + mp_div(&b, &S, &dig, &b); if (dig.used > 1) { Tcl_Panic("wrong digit!"); @@ -3948,24 +3948,24 @@ StrictBignumConversion(Double* dPtr, digit %= t; } i += g; - + /* Have we converted all the requested digits? */ - + if (i == ilim) { mp_mul_2d(&b, 1, &b); if (ShouldBankerRoundUp(&b, &S, digit&1)) { - s = BumpUp(s, retval, &k); + s = BumpUp(s, retval, &k); } else { while (*--s == '0') { /* do nothing */ } ++s; - } + } break; } } } - /* + /* * Endgame - store the location of the decimal point and the end of the * string. */ @@ -4009,7 +4009,7 @@ StrictBignumConversion(Double* dPtr, * TCL_DD_STEELE - This value is not recommended and may be removed * in the future. It follows the conversion algorithm outlined * in "How to Print Floating-Point Numbers Accurately" by - * Guy L. Steele, Jr. and Jon L. White [Proc. ACM SIGPLAN '90, + * Guy L. Steele, Jr. and Jon L. White [Proc. ACM SIGPLAN '90, * pp. 112-126]. This rule has the effect of rendering 1e23 * as 9.9999999999999999e22 - which is a 'better' approximation * in the sense that it will reconvert correctly even if @@ -4021,14 +4021,14 @@ StrictBignumConversion(Double* dPtr, * 'ndigits' digits, choosing the one that is closest to the * given number (and resolving ties with 'round to even'). * It is allowed to return fewer than 'ndigits' if the number - * converts exactly; if the TCL_DD_E_FORMAT|TCL_DD_SHORTEN_FLAG - * is supplied instead, it also returns fewer digits if the + * converts exactly; if the TCL_DD_E_FORMAT|TCL_DD_SHORTEN_FLAG + * is supplied instead, it also returns fewer digits if the * shorter string will still reconvert to the given input number. * In any case, strings of trailing zeroes are suppressed. * TCL_DD_F_FORMAT - This value is used to prepare numbers for %f * format conversion. It requests that conversion proceed until * 'ndigits' digits after the decimal point have been converted. - * It is possible for this format to result in a zero-length + * It is possible for this format to result in a zero-length * string if the number is sufficiently small. Again, it * is permissible for TCL_DD_F_FORMAT to return fewer digits * for a number that converts exactly, and changing the @@ -4045,12 +4045,12 @@ StrictBignumConversion(Double* dPtr, * midpoint between two decimal strings that more precision is needed * to resolve which string is correct. * - * The value stored in the 'decpt' argument on return may be negative - * (indicating that the decimal point falls to the left of the string) + * The value stored in the 'decpt' argument on return may be negative + * (indicating that the decimal point falls to the left of the string) * or greater than the length of the string. In addition, the value -9999 * is used as a sentinel to indicate that the string is one of the special * values "Infinity" and "NaN", and that no decimal point should be inserted. - * + * *----------------------------------------------------------------------------- */ char* @@ -4076,12 +4076,12 @@ TclDoubleDigits(double dv, /* Number to convert */ int denorm; /* Flag == 1 iff the input number was * denormalized */ int k; /* Estimate of floor(log10(d)) */ - int k_check; /* Flag == 1 if d is near enough to a + int k_check; /* Flag == 1 if d is near enough to a * power of ten that k must be checked */ int b2, b5, s2, s5; /* Powers of 2 and 5 in the numerator and * denominator of intermediate results */ int ilim = -1, ilim1 = -1; /* Number of digits to convert, and number - * to convert if log10(d) has been + * to convert if log10(d) has been * overestimated */ char* retval; /* Return value from this function */ int i = -1; @@ -4090,7 +4090,7 @@ TclDoubleDigits(double dv, /* Number to convert */ d.d = dv; - /* + /* * Handle the cases of negative numbers (by taking the absolute value: * this includes -Inf and -NaN!), infinity, Not a Number, and zero. */ @@ -4103,7 +4103,7 @@ TclDoubleDigits(double dv, /* Number to convert */ return FormatZero(decpt, endPtr); } - /* + /* * Unpack the floating point into a wide integer and an exponent. * Determine the number of bits that the big integer requires, and * compute a quick approximation (which may be one too high) of @@ -4116,12 +4116,12 @@ TclDoubleDigits(double dv, /* Number to convert */ /* At this point, we have: * d is the number to convert. - * bw are significand and exponent: d == bw*2**be, + * bw are significand and exponent: d == bw*2**be, * bbits is the length of bw: 2**bbits-1 <= bw < 2**bbits * k is either ceil(log10(d)) or ceil(log10(d))+1. k_check is 0 * if we know that k is exactly ceil(log10(d)) and 1 if we need to * check. - * We want a rational number + * We want a rational number * r = b * 10**(1-k) = bw * 2**b2 * 5**b5 / (2**s2 / 5**s5), * with b2, b5, s2, s5 >= 0. Note that the most significant decimal * digit is floor(r) and that successive digits can be obtained @@ -4149,7 +4149,7 @@ TclDoubleDigits(double dv, /* Number to convert */ SetPrecisionLimits(convType, k, &ndigits, &i, &ilim, &ilim1); - /* + /* * Try to do low-precision conversion in floating point rather * than resorting to expensive multiprecision arithmetic */ @@ -4161,7 +4161,7 @@ TclDoubleDigits(double dv, /* Number to convert */ } } - /* + /* * For shortening conversions, determine the upper and lower bounds * for the remainder at which we can stop. * m+ = (2**m2plus * 5**m5) / (2**s2 * 5**s5) is the limit on the @@ -4178,9 +4178,9 @@ TclDoubleDigits(double dv, /* Number to convert */ int m5 = b5; int len = i; - /* + /* * Find the quantity i so that (2**i*5**b5)/(2**s2*5**s5) - * is 1/2 unit in the least significant place of the floating + * is 1/2 unit in the least significant place of the floating * point number. */ if (denorm) { @@ -4191,7 +4191,7 @@ TclDoubleDigits(double dv, /* Number to convert */ b2 += i; s2 += i; - /* + /* * Reduce the fractions to lowest terms, since the above calculation * may have left excess powers of 2 in numerator and denominator */ @@ -4220,7 +4220,7 @@ TclDoubleDigits(double dv, /* Number to convert */ return ShorteningInt64Conversion(&d, convType, bw, b2, b5, m2plus, m2minus, m5, - s2, s5, k, len, ilim, ilim1, + s2, s5, k, len, ilim, ilim1, decpt, endPtr); } else if (s5 == 0) { /* @@ -4239,11 +4239,11 @@ TclDoubleDigits(double dv, /* Number to convert */ } return ShorteningBignumConversionPowD(&d, convType, bw, b2, b5, m2plus, m2minus, m5, - s2/DIGIT_BIT, k, len, + s2/DIGIT_BIT, k, len, ilim, ilim1, decpt, endPtr); } else { - /* + /* * Alas, there's no helpful special case; use full-up * bignum arithmetic for the conversion */ @@ -4279,7 +4279,7 @@ TclDoubleDigits(double dv, /* Number to convert */ */ return StrictInt64Conversion(&d, convType, bw, b2, b5, - s2, s5, k, len, ilim, ilim1, + s2, s5, k, len, ilim, ilim1, decpt, endPtr); } else if (s5 == 0) { @@ -4296,7 +4296,7 @@ TclDoubleDigits(double dv, /* Number to convert */ s2 += delta; } return StrictBignumConversionPowD(&d, convType, bw, b2, b5, - s2/DIGIT_BIT, k, len, + s2/DIGIT_BIT, k, len, ilim, ilim1, decpt, endPtr); } else { /* @@ -4308,7 +4308,7 @@ TclDoubleDigits(double dv, /* Number to convert */ return StrictBignumConversion(&d, convType, bw, b2, s2, s5, k, len, ilim, ilim1, decpt, endPtr); } - } + } } @@ -4558,7 +4558,7 @@ TclBignumToDouble( /* - * We need a 'mantBits'-bit significand. Determine what shift will + * We need a 'mantBits'-bit significand. Determine what shift will * give us that. */ @@ -4573,7 +4573,7 @@ TclBignumToDouble( } shift = mantBits - bits; - /* + /* * If shift > 0, shift the significand left by the requisite number of * bits. If shift == 0, the significand is already exactly 'mantBits' * in length. If shift < 0, we will need to shift the significand right diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index 8c6a376..86f0c62 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -1392,7 +1392,7 @@ AppendUnicodeToUnicodeRep( + stringPtr->uallocated / sizeof(Tcl_UniChar)) { offset = unicode - stringPtr->unicode; } - + GrowUnicodeBuffer(objPtr, numChars); stringPtr = GET_STRING(objPtr); @@ -1575,7 +1575,7 @@ AppendUtfToUtfRep( unsigned int limit = INT_MAX - newLength; unsigned int extra = numBytes + TCL_GROWTH_MIN_ALLOC; int growth = (int) ((extra > limit) ? limit : extra); - + Tcl_SetObjLength(objPtr, newLength + growth); } diff --git a/generic/tclThreadStorage.c b/generic/tclThreadStorage.c index f1df888..1578b40 100644 --- a/generic/tclThreadStorage.c +++ b/generic/tclThreadStorage.c @@ -135,7 +135,7 @@ AllocThreadStorageEntry( hPtr = (Tcl_HashEntry *) TclpSysAlloc(sizeof(Tcl_HashEntry), 0); hPtr->key.oneWordValue = keyPtr; hPtr->clientData = NULL; - + return hPtr; } @@ -170,7 +170,7 @@ FreeThreadStorageEntry( * ThreadStorageGetHashTable -- * * This procedure returns a hash table pointer to be used for thread - * storage for the specified thread. + * storage for the specified thread. * * Results: * A hash table pointer for the specified thread, or NULL if the hash @@ -182,8 +182,8 @@ FreeThreadStorageEntry( * * Thread safety: * This function assumes that integer operations are safe (atomic) - * on all (currently) supported Tcl platforms. Hence there are - * places where shared integer arithmetic is done w/o protective locks. + * on all (currently) supported Tcl platforms. Hence there are + * places where shared integer arithmetic is done w/o protective locks. * *---------------------------------------------------------------------- */ @@ -205,12 +205,12 @@ ThreadStorageGetHashTable( * Thread safety: threadStorageCache is accessed w/o locks in order to * avoid serialization of all threads at this hot-spot. It is safe to * do this here because (threadStorageCache[index].id != id) test below - * should be atomic on all (currently) supported platforms and there + * should be atomic on all (currently) supported platforms and there * are no devastatig side effects of the test. * * Note Valgrind users: this place will show up as a race-condition in * helgrind-tool output. To silence this warnings, define VALGRIND - * symbol at compilation time. + * symbol at compilation time. */ #if !defined(VALGRIND) diff --git a/generic/tclUtil.c b/generic/tclUtil.c index 8c6adfe..69d0b17 100644 --- a/generic/tclUtil.c +++ b/generic/tclUtil.c @@ -63,7 +63,7 @@ static ProcessGlobalValue executableName = { * CONVERT_MASK A mask value used to extract the conversion mode from * the flags argument. * Also indicates a strange conversion mode where all - * special characters are escaped with backslashes + * special characters are escaped with backslashes * *except for braces*. This is a strange and unnecessary * case, but it's part of the historical way in which * lists have been formatted in Tcl. To experiment with @@ -81,7 +81,7 @@ static ProcessGlobalValue executableName = { * in other cases this means an overestimate of the * required size. * - * For more details, see the comments on the Tcl*Scan*Element and + * For more details, see the comments on the Tcl*Scan*Element and * Tcl*Convert*Element routines. */ @@ -171,12 +171,12 @@ Tcl_ObjType tclEndOffsetType = { * rules similar to the parsing of the words of a command in a Tcl script. * Backslash substitution plays a key role, and is defined exactly as it is * in command parsing. The same routine, TclParseBackslash() is used in both - * command parsing and list parsing. + * command parsing and list parsing. * * NOTE: This means that if and when backslash substitution rules ever * change for command parsing, the interpretation of strings as lists also * changes. - * + * * Backslash substitution replaces an "escape sequence" of one or more * characters starting with * \u005c \ BACKSLASH @@ -189,7 +189,7 @@ Tcl_ObjType tclEndOffsetType = { * * * If the first character of a formatted substring is * \u007b { OPEN BRACE - * then the end of the substring is the matching + * then the end of the substring is the matching * \u007d } CLOSE BRACE * character, where matching is determined by counting nesting levels, * and not including any brace characters that are contained within a @@ -211,7 +211,7 @@ Tcl_ObjType tclEndOffsetType = { * that includes an unbalanced brace not in a backslash escape sequence, * and any value that ends with a backslash not itself in a backslash * escape sequence. - * + * * * If the first character of a formatted substring is * \u0022 " QUOTE * then the end of the substring is the next QUOTE character, not counting @@ -246,7 +246,7 @@ Tcl_ObjType tclEndOffsetType = { * minimum be able to produce escape sequences for the 10 characters * identified above that have significance to a list parser. * - * * * CANONICAL LISTS * * * * * + * * * CANONICAL LISTS * * * * * * * In addition to the basic rules for parsing strings into Tcl lists, there * are additional properties to be met by the set of list values that are @@ -297,7 +297,7 @@ Tcl_ObjType tclEndOffsetType = { * This sort of coding was once fairly common, though it's become more * idiomatic to see the following instead: * set script [list puts [list $one $two $three]]; eval $script - * In order to support this guarantee, every canonical list must have + * In order to support this guarantee, every canonical list must have * balance when counting those braces that are not in escape sequences. * * Within these constraints, the canonical list generation routines @@ -339,7 +339,7 @@ Tcl_ObjType tclEndOffsetType = { * #if COMPAT directives. This makes it easy to experiment with eliminating * this formatting mode simply with "#define COMPAT 0" above. I believe * this is worth considering. - * + * * Another consideration is the treatment of QUOTE characters in list elements. * TclConvertElement() must have the ability to produce the escape sequence * \" so that when a list element begins with a QUOTE we do not confuse @@ -396,7 +396,7 @@ TclMaxListLength( } /* No list element before leading white space */ - count += 1 - TclIsSpaceProc(*bytes); + count += 1 - TclIsSpaceProc(*bytes); /* Count white space runs as potential element separators */ while (numBytes) { @@ -420,7 +420,7 @@ TclMaxListLength( } /* No list element following trailing white space */ - count -= TclIsSpaceProc(bytes[-1]); + count -= TclIsSpaceProc(bytes[-1]); done: if (endPtr) { @@ -488,7 +488,7 @@ TclFindElement( * indicate that the substring of *sizePtr * bytes starting at **elementPtr is/is not * the literal list element and therefore - * does not/does require a call to + * does not/does require a call to * TclCopyAndCollapse() by the caller. */ { CONST char *p = list; @@ -945,7 +945,7 @@ TclScanElement( int preferBrace = 0; /* CONVERT_MASK mode. */ int braceCount = 0; /* Count of all braces '{' '}' seen. */ #endif - + if ((p == NULL) || (length == 0) || ((*p == '\0') && (length == -1))) { /* Empty string element must be brace quoted. */ *flagPtr = CONVERT_BRACE; @@ -1012,7 +1012,7 @@ TclScanElement( extra++; /* Escape '\' => '\\' */ if ((length == 1) || ((length == -1) && (p[1] == '\0'))) { /* Final backslash. Cannot format with brace quoting. */ - requireEscape = 1; + requireEscape = 1; break; } if (p[1] == '\n') { @@ -1087,7 +1087,7 @@ TclScanElement( if (preferEscape && !preferBrace) { /* * If we are quoting solely due to ] or internal " characters - * use the CONVERT_MASK mode where we escape all special + * use the CONVERT_MASK mode where we escape all special * characters except for braces. "extra" counted space needed * to escape braces too, so substract "braceCount" to get our * actual needs. @@ -1351,7 +1351,7 @@ int TclConvertElement( if (length == -1) { return p - dst; } - /* + /* * If we reach this point, there's an embedded NULL in the * string range being processed, which should not happen when * the encoding rules for Tcl strings are properly followed. @@ -1417,7 +1417,7 @@ Tcl_Merge( /* * We cannot allocate a large enough flag array to format this * list in one pass. We could imagine converting this routine - * to a multi-pass implementation, but for sizeof(int) == 4, + * to a multi-pass implementation, but for sizeof(int) == 4, * the limit is a max of 2^30 list elements and since each element * is at least one byte formatted, and requires one byte space * between it and the next one, that a minimum space requirement @@ -1678,7 +1678,7 @@ Tcl_Concat( } if (bytesNeeded + argc - 1 < 0) { /* - * Panic test could be tighter, but not going to bother for + * Panic test could be tighter, but not going to bother for * this legacy routine. */ Tcl_Panic("Tcl_Concat: max size of Tcl value exceeded"); @@ -1689,7 +1689,7 @@ Tcl_Concat( for (p = result, i = 0; i < argc; i++) { int trim, elemLength; const char *element; - + element = argv[i]; elemLength = strlen(argv[i]); @@ -1827,7 +1827,7 @@ Tcl_ConcatObj( for (i = 0; i < objc; i++) { int trim; - + element = TclGetStringFromObj(objv[i], &elemLength); /* Trim away the leading whitespace */ @@ -2828,7 +2828,7 @@ Tcl_PrintDouble( /* * Remember to copy the terminating NUL too. */ - + if (value < 0) { memcpy(dst, "-Inf", 5); } else { @@ -2885,7 +2885,7 @@ Tcl_PrintDouble( */ digits = TclDoubleDigits(value, *precisionPtr, - TCL_DD_E_FORMAT /* | TCL_DD_SHORTEN_FLAG */, + TCL_DD_E_FORMAT /* | TCL_DD_SHORTEN_FLAG */, &exponent, &signum, &end); } if (signum) { @@ -2896,7 +2896,7 @@ Tcl_PrintDouble( /* * E format for numbers < 1e-3 or >= 1e17. */ - + *dst++ = *p++; c = *p; if (c != '\0') { @@ -2906,7 +2906,7 @@ Tcl_PrintDouble( c = *++p; } } - /* + /* * Tcl 8.4 appears to format with at least a two-digit exponent; \ * preserve that behaviour when tcl_precision != 0 */ @@ -2919,7 +2919,7 @@ Tcl_PrintDouble( /* * F format for others. */ - + if (exponent < 0) { *dst++ = '0'; } diff --git a/unix/tclUnixNotfy.c b/unix/tclUnixNotfy.c index 2df704b..a57a89a 100644 --- a/unix/tclUnixNotfy.c +++ b/unix/tclUnixNotfy.c @@ -111,7 +111,7 @@ typedef struct ThreadSpecificData { * event is ready to be processed by signaling * this condition variable. */ #endif /* __CYGWIN__ */ - int waitCVinitialized; /* Variable to flag initialization of the structure */ + int waitCVinitialized; /* Variable to flag initialization of the structure */ int eventReady; /* True if an event is ready to be processed. * Used as condition flag together with waitCV * above. */ -- cgit v0.12 From a3a5372cf6ffd69dbf4628f2c0dd5295f79888ae Mon Sep 17 00:00:00 2001 From: dkf Date: Sun, 4 Oct 2015 10:58:48 +0000 Subject: [05489ce335] Constrain broken tests. --- tests/for.test | 21 +++++++++++++-------- 1 file changed, 13 insertions(+), 8 deletions(-) diff --git a/tests/for.test b/tests/for.test index a0eeff6..59e62fb 100644 --- a/tests/for.test +++ b/tests/for.test @@ -14,6 +14,8 @@ if {[lsearch [namespace children] ::tcltest] == -1} { namespace import -force ::tcltest::* } +testConstraint bug-05489ce335 [testConstraint knownBug] + # Basic "for" operation. test for-1.1 {TclCompileForCmd: missing initial command} { @@ -824,7 +826,7 @@ test for-8.0 {Coverity CID 1251203: break vs continue in for-step clause} { list $i $j $k }} } {6 5 3} -test for-8.1 {Coverity CID 1251203: break vs continue in for-step clause} { +test for-8.1 {Coverity CID 1251203: break vs continue in for-step clause} bug-05489ce335 { apply {{} { for {set k 0} {$k < 3} {incr k} { set j 0 @@ -837,7 +839,7 @@ test for-8.1 {Coverity CID 1251203: break vs continue in for-step clause} { list $i $j $k }} } {2 1 3} -test for-8.2 {Coverity CID 1251203: break vs continue in for-step clause} { +test for-8.2 {Coverity CID 1251203: break vs continue in for-step clause} bug-05489ce335 { apply {{} { for {set k 0} {$k < 3} {incr k} { set j 0 @@ -863,7 +865,7 @@ test for-8.3 {break in for-step clause} { list $i $j $k }} } {2 1 3} -test for-8.4 {continue in for-step clause} { +test for-8.4 {continue in for-step clause} bug-05489ce335 { apply {{} { for {set k 0} {$k < 3} {incr k} { set j 0 @@ -876,7 +878,7 @@ test for-8.4 {continue in for-step clause} { list $i $j $k }} } {1 1 3} -test for-8.5 {break in for-step clause} { +test for-8.5 {break in for-step clause} bug-05489ce335 { apply {{} { for {set k 0} {$k < 3} {incr k} { set j 0 @@ -889,7 +891,7 @@ test for-8.5 {break in for-step clause} { list $i $j $k }} } {2 1 3} -test for-8.6 {continue in for-step clause} { +test for-8.6 {continue in for-step clause} bug-05489ce335 { apply {{} { for {set k 0} {$k < 3} {incr k} { set j 0 @@ -915,7 +917,7 @@ test for-8.7 {break in for-step clause} { list $i $j $k }} } {2 1 3} -test for-8.8 {continue in for-step clause} { +test for-8.8 {continue in for-step clause} bug-05489ce335 { apply {{} { for {set k 0} {$k < 3} {incr k} { set j 0 @@ -976,8 +978,11 @@ test for-8.12 {continue in for-step clause} { list $i $j $k }} } {1 1 3} - - + # cleanup ::tcltest::cleanupTests return + +# Local Variables: +# mode: tcl +# End: -- cgit v0.12 From 9cac91e2eb9f49a1227ec078f49d8130706a6125 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 5 Oct 2015 09:23:12 +0000 Subject: Use "cygpath -m" in stead of "cygpath -w", so paths (even windows ones) always have forward slashes. Suggested by pooryorick for [http://core.tcl.tk/tclconfig/tktview/06f1692bbe29449ac3f2161ebf9dd153d0349845|TEA], but a good idea anyway --- win/configure | 2 +- win/tcl.m4 | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/win/configure b/win/configure index 1dcc9d2..dc03e62 100755 --- a/win/configure +++ b/win/configure @@ -3288,7 +3288,7 @@ do test -z "$as_dir" && as_dir=. for ac_exec_ext in '' $ac_executable_extensions; do if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then - ac_cv_prog_CYGPATH="cygpath -w" + ac_cv_prog_CYGPATH="cygpath -m" echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi diff --git a/win/tcl.m4 b/win/tcl.m4 index aa3c4b3..46d3518 100644 --- a/win/tcl.m4 +++ b/win/tcl.m4 @@ -558,7 +558,7 @@ AC_DEFUN([SC_CONFIG_CFLAGS], [ # Set some defaults (may get changed below) EXTRA_CFLAGS="" - AC_CHECK_PROG(CYGPATH, cygpath, cygpath -w, echo) + AC_CHECK_PROG(CYGPATH, cygpath, cygpath -m, echo) SHLIB_SUFFIX=".dll" -- cgit v0.12 From 5580f4a403b6c1487e27c93960c07cab1691d8f3 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 6 Oct 2015 08:18:46 +0000 Subject: Double '[' and ']', otherwise re-generating "configure" doesn't give the expected result. --- win/tcl.m4 | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/win/tcl.m4 b/win/tcl.m4 index 46d3518..2795086 100644 --- a/win/tcl.m4 +++ b/win/tcl.m4 @@ -784,7 +784,7 @@ AC_DEFUN([SC_CONFIG_CFLAGS], [ LIBRARIES="\${SHARED_LIBRARIES}" SHLIB_LD_LIBS='${LIBS}' case "x`echo \${VisualStudioVersion}`" in - x1[4-9]*) + x1[[4-9]]*) lflags="${lflags} -nodefaultlib:libucrt.lib" ;; *) @@ -826,7 +826,7 @@ AC_DEFUN([SC_CONFIG_CFLAGS], [ LIBS="user32.lib advapi32.lib ws2_32.lib" case "x`echo \${VisualStudioVersion}`" in - x1[4-9]*) + x1[[4-9]]*) LIBS="$LIBS ucrt.lib" ;; *) -- cgit v0.12 From 1781dd91805d388923c459d467c95112a815d1bf Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 6 Oct 2015 09:19:18 +0000 Subject: Revise content of generate win/tclConfig.sh: Make sure that all entries use windows paths with forward slashes. --- win/configure.in | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/win/configure.in b/win/configure.in index 88270cf..6b30162 100644 --- a/win/configure.in +++ b/win/configure.in @@ -186,21 +186,21 @@ TCL_SHARED_LIB_SUFFIX="\${NODOT_VERSION}${DLLSUFFIX}" TCL_UNSHARED_LIB_SUFFIX="\${NODOT_VERSION}${LIBSUFFIX}" TCL_EXPORT_FILE_SUFFIX="\${NODOT_VERSION}${LIBSUFFIX}" -eval "TCL_SRC_DIR=\"`cd $srcdir/..; pwd`\"" +eval "TCL_SRC_DIR=\"`cd $srcdir/..; $CYGPATH $(pwd)`\"" eval "TCL_DLL_FILE=tcl${VER}${DLLSUFFIX}" eval "TCL_LIB_FILE=${LIBPREFIX}tcl$VER${LIBSUFFIX}" eval "TCL_LIB_FLAG=\"-ltcl${VER}${LIBFLAGSUFFIX}\"" -eval "TCL_BUILD_LIB_SPEC=\"-L`pwd` ${TCL_LIB_FLAG}\"" +eval "TCL_BUILD_LIB_SPEC=\"-L`$CYGPATH $(pwd)` ${TCL_LIB_FLAG}\"" eval "TCL_LIB_SPEC=\"-L${libdir} ${TCL_LIB_FLAG}\"" eval "TCL_STUB_LIB_FILE=\"${LIBPREFIX}tclstub${VER}${LIBSUFFIX}\"" eval "TCL_STUB_LIB_FLAG=\"-ltclstub${VER}${LIBFLAGSUFFIX}\"" -eval "TCL_BUILD_STUB_LIB_SPEC=\"-L`pwd` ${TCL_STUB_LIB_FLAG}\"" +eval "TCL_BUILD_STUB_LIB_SPEC=\"-L`$CYGPATH $(pwd)` ${TCL_STUB_LIB_FLAG}\"" eval "TCL_STUB_LIB_SPEC=\"-L${libdir} ${TCL_STUB_LIB_FLAG}\"" -eval "TCL_BUILD_STUB_LIB_PATH=\"`pwd`/${TCL_STUB_LIB_FILE}\"" +eval "TCL_BUILD_STUB_LIB_PATH=\"`$CYGPATH $(pwd)`/${TCL_STUB_LIB_FILE}\"" eval "TCL_STUB_LIB_PATH=\"${libdir}/${TCL_STUB_LIB_FILE}\"" # Install time header dir can be set via --includedir -- cgit v0.12 From 40ba2e067496a7fab51129617bbcd0f5553f285f Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 6 Oct 2015 14:25:36 +0000 Subject: Fix [b42a851475]: file normalize ~user returns wrong directory on Windows --- win/tclWinFile.c | 30 +++++++++++++++++++++++------- 1 file changed, 23 insertions(+), 7 deletions(-) diff --git a/win/tclWinFile.c b/win/tclWinFile.c index fe30c55..73a2183 100755 --- a/win/tclWinFile.c +++ b/win/tclWinFile.c @@ -17,6 +17,7 @@ #include #include #include /* For TclpGetUserHome(). */ +#include /* For TclpGetUserHome(). */ /* * The number of 100-ns intervals between the Windows system epoch (1601-01-01 @@ -177,6 +178,10 @@ typedef NET_API_STATUS NET_API_FUNCTION NETAPIBUFFERFREEPROC(LPVOID Buffer); typedef NET_API_STATUS NET_API_FUNCTION NETGETDCNAMEPROC( LPWSTR servername, LPWSTR domainname, LPBYTE *bufptr); +typedef BOOL WINAPI GETPROFILESDIRECTORYPROC( + LPWSTR lpProfilesDir, LPDWORD lpcchSize +); + /* * Declarations for local functions defined in this file: */ @@ -1418,15 +1423,18 @@ TclpGetUserHome( { char *result; HINSTANCE netapiInst; + HINSTANCE userenvInst; result = NULL; Tcl_DStringInit(bufferPtr); netapiInst = LoadLibraryA("netapi32.dll"); - if (netapiInst != NULL) { + userenvInst = LoadLibraryA("userenv.dll"); + if (netapiInst != NULL && userenvInst != NULL) { NETAPIBUFFERFREEPROC *netApiBufferFreeProc; NETGETDCNAMEPROC *netGetDCNameProc; NETUSERGETINFOPROC *netUserGetInfoProc; + GETPROFILESDIRECTORYPROC *getProfilesDirectoryProc; netApiBufferFreeProc = (NETAPIBUFFERFREEPROC *) GetProcAddress(netapiInst, "NetApiBufferFree"); @@ -1434,8 +1442,10 @@ TclpGetUserHome( GetProcAddress(netapiInst, "NetGetDCName"); netUserGetInfoProc = (NETUSERGETINFOPROC *) GetProcAddress(netapiInst, "NetUserGetInfo"); + getProfilesDirectoryProc = (GETPROFILESDIRECTORYPROC *) + GetProcAddress(userenvInst, "GetProfilesDirectoryW"); if ((netUserGetInfoProc != NULL) && (netGetDCNameProc != NULL) - && (netApiBufferFreeProc != NULL)) { + && (netApiBufferFreeProc != NULL) && (getProfilesDirectoryProc != NULL)) { USER_INFO_1 *uiPtr, **uiPtrPtr = &uiPtr; Tcl_DString ds; int nameLen, badDomain; @@ -1467,12 +1477,17 @@ TclpGetUserHome( } else { /* * User exists but has no home dir. Return - * "{Windows Drive}:/users/default". + * "{GetProfilesDirectory}/". */ - - GetWindowsDirectoryW(buf, MAX_PATH); - Tcl_UniCharToUtfDString(buf, 2, bufferPtr); - Tcl_DStringAppend(bufferPtr, "/users/default", -1); + DWORD size = MAX_PATH; + int i; + getProfilesDirectoryProc(buf, &size); + for (i = 0; i < size; ++i){ + if (buf[i] == '\\') buf[i] = '/'; + } + Tcl_UniCharToUtfDString(buf, size-1, bufferPtr); + Tcl_DStringAppend(bufferPtr, "/", -1); + Tcl_DStringAppend(bufferPtr, name, -1); } result = Tcl_DStringValue(bufferPtr); (*netApiBufferFreeProc)((void *) uiPtr); @@ -1483,6 +1498,7 @@ TclpGetUserHome( (*netApiBufferFreeProc)((void *) wDomain); } } + FreeLibrary(userenvInst); FreeLibrary(netapiInst); } if (result == NULL) { -- cgit v0.12 From 236c0f4ffd3ac7f1cef522c0c0e00b9e72cf995f Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 7 Oct 2015 08:40:23 +0000 Subject: Fix surrogate handling in PrintSourceToObj(), differenciating for TCL_UTF_MAX = 6 (androwish) and TCL_UTF_MAX = 4 (tip-389-impl). No effect when TCL_UTF_MAX = 3. --- generic/tclDisassemble.c | 15 +++++++++++++-- 1 file changed, 13 insertions(+), 2 deletions(-) diff --git a/generic/tclDisassemble.c b/generic/tclDisassemble.c index 15502e7..86f0e1d 100644 --- a/generic/tclDisassemble.c +++ b/generic/tclDisassemble.c @@ -833,8 +833,19 @@ PrintSourceToObj( continue; default: #if TCL_UTF_MAX > 4 - if ((int) ch > 0xffff) { - Tcl_AppendPrintfToObj(appendObj, "\\U%08x", (int) ch); + if (ch > 0xffff) { + Tcl_AppendPrintfToObj(appendObj, "\\U%08x", ch); + i += 10; + } else +#elif TCL_UTF_MAX > 3 + /* If len == 0, this means we have a char > 0xffff, resulting in + * TclUtfToUniChar producing a surrogate pair. We want to output + * this pair as a single Unicode character. + */ + if (len == 0) { + int upper = ((ch & 0x3ff) + 1) << 10; + len = TclUtfToUniChar(p, &ch); + Tcl_AppendPrintfToObj(appendObj, "\\U%08x", upper + (ch & 0x3ff)); i += 10; } else #endif -- cgit v0.12 From 81cbdd313896511542f19465bf012631591474db Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 7 Oct 2015 13:14:27 +0000 Subject: Where "interp" is only used for error-reporting, it can be allowed to be NULL. This should fix [5da26d4760]: Tcl_LoadFile() segfaults if "interp" is NULL. --- generic/tclIOUtil.c | 34 +++++++++++++++++++--------- generic/tclLoadNone.c | 14 +++++++----- unix/tclLoadDl.c | 25 ++++++++++++--------- win/tclWinLoad.c | 62 ++++++++++++++++++++++++++------------------------- 4 files changed, 79 insertions(+), 56 deletions(-) diff --git a/generic/tclIOUtil.c b/generic/tclIOUtil.c index 1d4f277..1330c02 100644 --- a/generic/tclIOUtil.c +++ b/generic/tclIOUtil.c @@ -3254,7 +3254,9 @@ Tcl_LoadFile( if (*handlePtr == NULL) { return TCL_ERROR; } - Tcl_ResetResult(interp); + if (interp) { + Tcl_ResetResult(interp); + } goto resolveSymbols; } if (Tcl_GetErrno() != EXDEV) { @@ -3270,9 +3272,11 @@ Tcl_LoadFile( */ if (Tcl_FSAccess(pathPtr, R_OK) != 0) { - Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "couldn't load library \"%s\": %s", - Tcl_GetString(pathPtr), Tcl_PosixError(interp))); + if (interp) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "couldn't load library \"%s\": %s", + Tcl_GetString(pathPtr), Tcl_PosixError(interp))); + } return TCL_ERROR; } @@ -3321,7 +3325,9 @@ Tcl_LoadFile( } mustCopyToTempAnyway: - Tcl_ResetResult(interp); + if (interp) { + Tcl_ResetResult(interp); + } #endif /* TCL_LOAD_FROM_MEMORY */ /* @@ -3345,8 +3351,10 @@ Tcl_LoadFile( Tcl_FSDeleteFile(copyToPtr); Tcl_DecrRefCount(copyToPtr); - Tcl_SetObjResult(interp, Tcl_NewStringObj( - "couldn't load from current filesystem", -1)); + if (interp) { + Tcl_SetObjResult(interp, Tcl_NewStringObj( + "couldn't load from current filesystem", -1)); + } return TCL_ERROR; } @@ -3386,7 +3394,9 @@ Tcl_LoadFile( * have stored the number of bytes in the result. */ - Tcl_ResetResult(interp); + if (interp) { + Tcl_ResetResult(interp); + } retVal = Tcl_LoadFile(interp, copyToPtr, symbols, flags, procPtrs, &newLoadHandle); @@ -3418,7 +3428,9 @@ Tcl_LoadFile( */ *handlePtr = newLoadHandle; - Tcl_ResetResult(interp); + if (interp) { + Tcl_ResetResult(interp); + } return TCL_OK; } @@ -3479,7 +3491,9 @@ Tcl_LoadFile( divertedLoadHandle->unloadFileProcPtr = DivertUnloadFile; *handlePtr = divertedLoadHandle; - Tcl_ResetResult(interp); + if (interp) { + Tcl_ResetResult(interp); + } return retVal; resolveSymbols: diff --git a/generic/tclLoadNone.c b/generic/tclLoadNone.c index 6cb4378..6af5c4f 100644 --- a/generic/tclLoadNone.c +++ b/generic/tclLoadNone.c @@ -45,9 +45,11 @@ TclpDlopen( * file. */ int flags) { - Tcl_SetObjResult(interp, Tcl_NewStringObj( - "dynamic loading is not currently available on this system", - -1)); + if (interp) { + Tcl_SetObjResult(interp, Tcl_NewStringObj( + "dynamic loading is not currently available on this system", + -1)); + } return TCL_ERROR; } @@ -109,8 +111,10 @@ TclpLoadMemory( int flags) /* Dummy: unused by this implementation */ { - Tcl_SetObjResult(interp, Tcl_NewStringObj("dynamic loading from memory " - "is not available on this system", -1)); + if (interp) { + Tcl_SetObjResult(interp, Tcl_NewStringObj("dynamic loading from memory " + "is not available on this system", -1)); + } return TCL_ERROR; } diff --git a/unix/tclLoadDl.c b/unix/tclLoadDl.c index dc711f8..aec071c 100644 --- a/unix/tclLoadDl.c +++ b/unix/tclLoadDl.c @@ -124,9 +124,11 @@ TclpDlopen( const char *errorStr = dlerror(); - Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "couldn't load file \"%s\": %s", - Tcl_GetString(pathPtr), errorStr)); + if (interp) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "couldn't load file \"%s\": %s", + Tcl_GetString(pathPtr), errorStr)); + } return TCL_ERROR; } newHandle = ckalloc(sizeof(*newHandle)); @@ -187,17 +189,18 @@ FindSymbol( Tcl_DStringFree(&newName); } Tcl_DStringFree(&ds); - if (proc == NULL && interp != NULL) { + if (proc == NULL) { const char *errorStr = dlerror(); - if (!errorStr) { - errorStr = "unknown"; + if (interp) { + if (!errorStr) { + errorStr = "unknown"; + } + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "cannot find symbol \"%s\": %s", symbol, errorStr)); + Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "LOAD_SYMBOL", symbol, + NULL); } - - Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "cannot find symbol \"%s\": %s", symbol, errorStr)); - Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "LOAD_SYMBOL", symbol, - NULL); } return proc; } diff --git a/win/tclWinLoad.c b/win/tclWinLoad.c index 3e11224..26512b1 100644 --- a/win/tclWinLoad.c +++ b/win/tclWinLoad.c @@ -102,37 +102,39 @@ TclpDlopen( * better if there was a way to get what DLLs */ - switch (lastError) { - case ERROR_MOD_NOT_FOUND: - Tcl_SetErrorCode(interp, "WIN_LOAD", "MOD_NOT_FOUND", NULL); - goto notFoundMsg; - case ERROR_DLL_NOT_FOUND: - Tcl_SetErrorCode(interp, "WIN_LOAD", "DLL_NOT_FOUND", NULL); - notFoundMsg: - Tcl_AppendToObj(errMsg, "this library or a dependent library" - " could not be found in library path", -1); - break; - case ERROR_PROC_NOT_FOUND: - Tcl_SetErrorCode(interp, "WIN_LOAD", "PROC_NOT_FOUND", NULL); - Tcl_AppendToObj(errMsg, "A function specified in the import" - " table could not be resolved by the system. Windows" - " is not telling which one, I'm sorry.", -1); - break; - case ERROR_INVALID_DLL: - Tcl_SetErrorCode(interp, "WIN_LOAD", "INVALID_DLL", NULL); - Tcl_AppendToObj(errMsg, "this library or a dependent library" - " is damaged", -1); - break; - case ERROR_DLL_INIT_FAILED: - Tcl_SetErrorCode(interp, "WIN_LOAD", "DLL_INIT_FAILED", NULL); - Tcl_AppendToObj(errMsg, "the library initialization" - " routine failed", -1); - break; - default: - TclWinConvertError(lastError); - Tcl_AppendToObj(errMsg, Tcl_PosixError(interp), -1); + if (interp) { + switch (lastError) { + case ERROR_MOD_NOT_FOUND: + Tcl_SetErrorCode(interp, "WIN_LOAD", "MOD_NOT_FOUND", NULL); + goto notFoundMsg; + case ERROR_DLL_NOT_FOUND: + Tcl_SetErrorCode(interp, "WIN_LOAD", "DLL_NOT_FOUND", NULL); + notFoundMsg: + Tcl_AppendToObj(errMsg, "this library or a dependent library" + " could not be found in library path", -1); + break; + case ERROR_PROC_NOT_FOUND: + Tcl_SetErrorCode(interp, "WIN_LOAD", "PROC_NOT_FOUND", NULL); + Tcl_AppendToObj(errMsg, "A function specified in the import" + " table could not be resolved by the system. Windows" + " is not telling which one, I'm sorry.", -1); + break; + case ERROR_INVALID_DLL: + Tcl_SetErrorCode(interp, "WIN_LOAD", "INVALID_DLL", NULL); + Tcl_AppendToObj(errMsg, "this library or a dependent library" + " is damaged", -1); + break; + case ERROR_DLL_INIT_FAILED: + Tcl_SetErrorCode(interp, "WIN_LOAD", "DLL_INIT_FAILED", NULL); + Tcl_AppendToObj(errMsg, "the library initialization" + " routine failed", -1); + break; + default: + TclWinConvertError(lastError); + Tcl_AppendToObj(errMsg, Tcl_PosixError(interp), -1); + } + Tcl_SetObjResult(interp, errMsg); } - Tcl_SetObjResult(interp, errMsg); return TCL_ERROR; } -- cgit v0.12 From 87bfeefdb63886437c8e4143e939eac72ca27660 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 7 Oct 2015 13:32:29 +0000 Subject: Fix [8587cb648c445f7]: clock default format incorrect --- doc/clock.n | 26 +++++++++++++------------- 1 file changed, 13 insertions(+), 13 deletions(-) diff --git a/doc/clock.n b/doc/clock.n index a0cc63e..0460a54 100644 --- a/doc/clock.n +++ b/doc/clock.n @@ -16,13 +16,13 @@ package require \fBTcl 8.5\fR .sp \fBclock format\fR \fItimeVal\fR ?\fI\-option value\fR...? .sp -\fBclock microseconds\fR +\fBclock microseconds\fR .sp -\fBclock milliseconds\fR +\fBclock milliseconds\fR .sp \fBclock scan\fR \fIinputString\fR ?\fI\-option value\fR...? .sp -\fBclock seconds\fR +\fBclock seconds\fR .sp .BE .SH "DESCRIPTION" @@ -58,10 +58,10 @@ Formats a time that is expressed as an integer number of seconds into a format intended for consumption by users or external programs. See \fBFORMATTING TIMES\fR for a full description. .TP -\fBclock microseconds\fR +\fBclock microseconds\fR Returns the current time as an integer number of microseconds. See \fBHIGH RESOLUTION TIMERS\fR for a full description. .TP -\fBclock milliseconds\fR +\fBclock milliseconds\fR Returns the current time as an integer number of milliseconds. See \fBHIGH RESOLUTION TIMERS\fR for a full description. .TP \fBclock scan\fR \fIinputString\fR ?\fI\-option value\fR...? @@ -69,7 +69,7 @@ Scans a time that is expressed as a character string and produces an integer number of seconds. See \fBSCANNING TIMES\fR for a full description. .TP -\fBclock seconds\fR +\fBclock seconds\fR Returns the current time as an integer number of seconds. .SS "PARAMETERS" .TP @@ -112,7 +112,7 @@ and their interpretation, are described under \fBFORMAT GROUPS\fR. .PP On \fBclock format\fR, the default format is .CS -%a %b %d %H:%M:%S %z %Y +%a %b %d %H:%M:%S %Z %Y .CE .PP On \fBclock scan\fR, the lack of a \fI\-format\fR option indicates that a @@ -514,7 +514,7 @@ string of the same meaning in the locale, to indicate whether \fB%Y\fR refers to years before or after Year 1 of the Common Era. On input, accepts the string \fBB.C.E.\fR, \fBB.C.\fR, \fBC.E.\fR, \fBA.D.\fR, or the abbreviation appropriate to the current locale, and uses it to fix -whether \fB%Y\fR refers to years before or after Year 1 of the +whether \fB%Y\fR refers to years before or after Year 1 of the Common Era. .TP \fB%Ex\fR @@ -673,8 +673,8 @@ ISO8601 week number. \fB%w\fR On output, produces the ordinal number of the day of the week (Sunday==0; Saturday==6). On input, accepts a single digit and -interprets it as the day of the week; Sunday may be represented as -either 0 or 7. Note that \fB%w\fR is not the ISO8601 weekday number, +interprets it as the day of the week; Sunday may be represented as +either 0 or 7. Note that \fB%w\fR is not the ISO8601 weekday number, which is produced and accepted by \fB%u\fR. .TP \fB%W\fR @@ -753,7 +753,7 @@ The local time zone from the Control Panel on Windows systems. The C library's idea of the local time zone, as defined by the \fBmktime\fR and \fBlocaltime\fR functions. .PP -In case [1] \fIonly,\fR the string is tested to see if it is one +In case [1] \fIonly,\fR the string is tested to see if it is one of the strings: .CS gmt ut utc bst wet wat at @@ -769,7 +769,7 @@ of the strings: If it is a string in the above list, it designates a known time zone, and is interpreted as such. .PP -For time zones in case [1] that do not match any of the above strings, +For time zones in case [1] that do not match any of the above strings, and always for cases [2]-[6], the following rules apply. .PP If the time zone begins with a colon, it is one of a @@ -876,7 +876,7 @@ giving an explicit \fI\-format\fR option to the \fBclock scan\fR command. .TP \fIrelative time\fR A specification relative to the current time. The format is \fBnumber -unit\fR. Acceptable units are \fByear\fR, \fBfortnight\fR, +unit\fR. Acceptable units are \fByear\fR, \fBfortnight\fR, \fBmonth\fR, \fBweek\fR, \fBday\fR, \fBhour\fR, \fBminute\fR (or \fBmin\fR), and \fBsecond\fR (or \fBsec\fR). The unit can be specified as a singular or plural, as in \fB3 weeks\fR. -- cgit v0.12 From 404bcc3435d7a5ce178b4b84c86833285d3aa1d4 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 8 Oct 2015 14:41:46 +0000 Subject: Decorate Tcl_Exit() and Tcl_SetExitProc()'s argument with TCL_NORETURN as appropriate, as already done with Tcl_Panic() earlier. Fix minor msvc compiler warning in tclWinFile.c --- generic/tcl.decls | 4 ++-- generic/tclDecls.h | 8 ++++---- generic/tclEvent.c | 8 ++++---- win/tclWinFile.c | 3 +-- 4 files changed, 11 insertions(+), 12 deletions(-) diff --git a/generic/tcl.decls b/generic/tcl.decls index a5cd24d..797a5a7 100644 --- a/generic/tcl.decls +++ b/generic/tcl.decls @@ -480,7 +480,7 @@ declare 132 { void Tcl_EventuallyFree(ClientData clientData, Tcl_FreeProc *freeProc) } declare 133 { - void Tcl_Exit(int status) + TCL_NORETURN void Tcl_Exit(int status) } declare 134 { int Tcl_ExposeCommand(Tcl_Interp *interp, const char *hiddenCmdToken, @@ -1872,7 +1872,7 @@ declare 518 { # TIP#121 (exit handler) dkf for Joe Mistachkin declare 519 { - Tcl_ExitProc *Tcl_SetExitProc(Tcl_ExitProc *proc) + Tcl_ExitProc *Tcl_SetExitProc(TCL_NORETURN1 Tcl_ExitProc *proc) } # TIP#143 (resource limits) dkf diff --git a/generic/tclDecls.h b/generic/tclDecls.h index 996129d..b022d3c 100644 --- a/generic/tclDecls.h +++ b/generic/tclDecls.h @@ -417,7 +417,7 @@ EXTERN int Tcl_EvalObj(Tcl_Interp *interp, Tcl_Obj *objPtr); EXTERN void Tcl_EventuallyFree(ClientData clientData, Tcl_FreeProc *freeProc); /* 133 */ -EXTERN void Tcl_Exit(int status); +EXTERN TCL_NORETURN void Tcl_Exit(int status); /* 134 */ EXTERN int Tcl_ExposeCommand(Tcl_Interp *interp, const char *hiddenCmdToken, @@ -1500,7 +1500,7 @@ EXTERN void Tcl_GetCommandFullName(Tcl_Interp *interp, EXTERN int Tcl_FSEvalFileEx(Tcl_Interp *interp, Tcl_Obj *fileName, const char *encodingName); /* 519 */ -EXTERN Tcl_ExitProc * Tcl_SetExitProc(Tcl_ExitProc *proc); +EXTERN Tcl_ExitProc * Tcl_SetExitProc(TCL_NORETURN1 Tcl_ExitProc *proc); /* 520 */ EXTERN void Tcl_LimitAddHandler(Tcl_Interp *interp, int type, Tcl_LimitHandlerProc *handlerProc, @@ -1976,7 +1976,7 @@ typedef struct TclStubs { int (*tcl_EvalFile) (Tcl_Interp *interp, const char *fileName); /* 130 */ int (*tcl_EvalObj) (Tcl_Interp *interp, Tcl_Obj *objPtr); /* 131 */ void (*tcl_EventuallyFree) (ClientData clientData, Tcl_FreeProc *freeProc); /* 132 */ - void (*tcl_Exit) (int status); /* 133 */ + TCL_NORETURN1 void (*tcl_Exit) (int status); /* 133 */ int (*tcl_ExposeCommand) (Tcl_Interp *interp, const char *hiddenCmdToken, const char *cmdName); /* 134 */ int (*tcl_ExprBoolean) (Tcl_Interp *interp, const char *expr, int *ptr); /* 135 */ int (*tcl_ExprBooleanObj) (Tcl_Interp *interp, Tcl_Obj *objPtr, int *ptr); /* 136 */ @@ -2370,7 +2370,7 @@ typedef struct TclStubs { Tcl_Command (*tcl_GetCommandFromObj) (Tcl_Interp *interp, Tcl_Obj *objPtr); /* 516 */ void (*tcl_GetCommandFullName) (Tcl_Interp *interp, Tcl_Command command, Tcl_Obj *objPtr); /* 517 */ int (*tcl_FSEvalFileEx) (Tcl_Interp *interp, Tcl_Obj *fileName, const char *encodingName); /* 518 */ - Tcl_ExitProc * (*tcl_SetExitProc) (Tcl_ExitProc *proc); /* 519 */ + Tcl_ExitProc * (*tcl_SetExitProc) (TCL_NORETURN1 Tcl_ExitProc *proc); /* 519 */ void (*tcl_LimitAddHandler) (Tcl_Interp *interp, int type, Tcl_LimitHandlerProc *handlerProc, ClientData clientData, Tcl_LimitHandlerDeleteProc *deleteProc); /* 520 */ void (*tcl_LimitRemoveHandler) (Tcl_Interp *interp, int type, Tcl_LimitHandlerProc *handlerProc, ClientData clientData); /* 521 */ int (*tcl_LimitReady) (Tcl_Interp *interp); /* 522 */ diff --git a/generic/tclEvent.c b/generic/tclEvent.c index 281ff6c..8305410 100644 --- a/generic/tclEvent.c +++ b/generic/tclEvent.c @@ -89,7 +89,7 @@ static int subsystemsInitialized = 0; * non-NULL value. */ -static Tcl_ExitProc *appExitPtr = NULL; +static TCL_NORETURN1 Tcl_ExitProc *appExitPtr = NULL; typedef struct ThreadSpecificData { ExitHandler *firstExitPtr; /* First in list of all exit handlers for this @@ -857,7 +857,7 @@ Tcl_DeleteThreadExitHandler( Tcl_ExitProc * Tcl_SetExitProc( - Tcl_ExitProc *proc) /* New exit handler for app or NULL */ + TCL_NORETURN1 Tcl_ExitProc *proc) /* New exit handler for app or NULL */ { Tcl_ExitProc *prevExitProc; @@ -933,12 +933,12 @@ InvokeExitHandlers(void) *---------------------------------------------------------------------- */ -void +TCL_NORETURN void Tcl_Exit( int status) /* Exit status for application; typically 0 * for normal return, 1 for error return. */ { - Tcl_ExitProc *currentAppExitPtr; + TCL_NORETURN1 Tcl_ExitProc *currentAppExitPtr; Tcl_MutexLock(&exitMutex); currentAppExitPtr = appExitPtr; diff --git a/win/tclWinFile.c b/win/tclWinFile.c index be9c947..25c6ea4 100755 --- a/win/tclWinFile.c +++ b/win/tclWinFile.c @@ -1467,8 +1467,7 @@ TclpGetUserHome( * User exists but has no home dir. Return * "{GetProfilesDirectory}/". */ - DWORD size = MAX_PATH; - int i; + DWORD i, size = MAX_PATH; GetProfilesDirectoryW(buf, &size); for (i = 0; i < size; ++i){ if (buf[i] == '\\') buf[i] = '/'; -- cgit v0.12 From 6816e77cbfb64f58b952d8cd4fe20e69141729ee Mon Sep 17 00:00:00 2001 From: stwo Date: Fri, 9 Oct 2015 13:18:48 +0000 Subject: Tcl/OpenBSD/Sparc needs -fPIC. --- unix/configure | 2 +- unix/tcl.m4 | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/unix/configure b/unix/configure index 31758c3..27e147b 100755 --- a/unix/configure +++ b/unix/configure @@ -7527,7 +7527,7 @@ fi ;; *) case "$arch" in - alpha|sparc64) + alpha|sparc|sparc64) SHLIB_CFLAGS="-fPIC" ;; *) diff --git a/unix/tcl.m4 b/unix/tcl.m4 index d896d05..83c3fb1 100644 --- a/unix/tcl.m4 +++ b/unix/tcl.m4 @@ -1518,7 +1518,7 @@ AC_DEFUN([SC_CONFIG_CFLAGS], [ ;; *) case "$arch" in - alpha|sparc64) + alpha|sparc|sparc64) SHLIB_CFLAGS="-fPIC" ;; *) -- cgit v0.12 From 2a1ef7e5c60cf8a23a9da2c301fd4044c9f0db0e Mon Sep 17 00:00:00 2001 From: stwo Date: Fri, 9 Oct 2015 13:30:49 +0000 Subject: Tcl/OpenBSD/Sparc needs -fPIC. --- unix/configure | 2 +- unix/tcl.m4 | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/unix/configure b/unix/configure index 1899aa3..bbac11d 100755 --- a/unix/configure +++ b/unix/configure @@ -7579,7 +7579,7 @@ fi ;; *) case "$arch" in - alpha|sparc64) + alpha|sparc|sparc64) SHLIB_CFLAGS="-fPIC" ;; *) diff --git a/unix/tcl.m4 b/unix/tcl.m4 index 3db997a..d7d6a7b 100644 --- a/unix/tcl.m4 +++ b/unix/tcl.m4 @@ -1542,7 +1542,7 @@ AC_DEFUN([SC_CONFIG_CFLAGS], [ ;; *) case "$arch" in - alpha|sparc64) + alpha|sparc|sparc64) SHLIB_CFLAGS="-fPIC" ;; *) -- cgit v0.12 From 2c3171b7932c069b7f8c7bbfdbdb199251e2399e Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 9 Oct 2015 14:40:28 +0000 Subject: Make autoconf > 2.59 work warning-free --- win/Makefile.in | 1 + 1 file changed, 1 insertion(+) diff --git a/win/Makefile.in b/win/Makefile.in index c0d8668..b3417e7 100644 --- a/win/Makefile.in +++ b/win/Makefile.in @@ -22,6 +22,7 @@ exec_prefix = @exec_prefix@ bindir = @bindir@ libdir = @libdir@ includedir = @includedir@ +datarootdir = @datarootdir@ mandir = @mandir@ # The following definition can be set to non-null for special systems like AFS -- cgit v0.12 From 7ac2d8cc226958fbe8a0c9014c2cadae69a31e06 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Sat, 10 Oct 2015 12:37:34 +0000 Subject: Fix minor msvc compiler warning in tclWinFile.c --- win/tclWinFile.c | 3 +-- 1 file changed, 1 insertion(+), 2 deletions(-) diff --git a/win/tclWinFile.c b/win/tclWinFile.c index 73a2183..41de4a8 100755 --- a/win/tclWinFile.c +++ b/win/tclWinFile.c @@ -1479,8 +1479,7 @@ TclpGetUserHome( * User exists but has no home dir. Return * "{GetProfilesDirectory}/". */ - DWORD size = MAX_PATH; - int i; + DWORD i, size = MAX_PATH; getProfilesDirectoryProc(buf, &size); for (i = 0; i < size; ++i){ if (buf[i] == '\\') buf[i] = '/'; -- cgit v0.12 From de3fd77202d2f00e549b962c6b56a85f5d8d7042 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 12 Oct 2015 09:57:26 +0000 Subject: Various build fixes, when using Cygwin shell in combination with native MinGW compiler. Contributed by pooryorick. --- win/Makefile.in | 33 +++++++++++++++++++-------------- 1 file changed, 19 insertions(+), 14 deletions(-) diff --git a/win/Makefile.in b/win/Makefile.in index b3417e7..e9a28c4 100644 --- a/win/Makefile.in +++ b/win/Makefile.in @@ -102,10 +102,15 @@ COMPAT_DIR = @srcdir@/../compat # Converts a POSIX path to a Windows native path. CYGPATH = @CYGPATH@ -GENERIC_DIR_NATIVE = $(shell $(CYGPATH) '$(GENERIC_DIR)' | sed 's!\\!/!g') -TOMMATH_DIR_NATIVE = $(shell $(CYGPATH) '$(TOMMATH_DIR)' | sed 's!\\!/!g') -WIN_DIR_NATIVE = $(shell $(CYGPATH) '$(WIN_DIR)' | sed 's!\\!/!g') -ROOT_DIR_NATIVE = $(shell $(CYGPATH) '$(ROOT_DIR)' | sed 's!\\!/!g') +libdir_native = $(shell $(CYGPATH) '$(libdir)') +bindir_native = $(shell $(CYGPATH) '$(bindir)') +includedir_native = $(shell $(CYGPATH) '$(includedir)') +mandir_native = $(shell $(CYGPATH) '$(mandir)') +TCL_LIBRARY_NATIVE = $(shell $(CYGPATH) '$(TCL_LIBRARY)') +GENERIC_DIR_NATIVE = $(shell $(CYGPATH) '$(GENERIC_DIR)') +TOMMATH_DIR_NATIVE = $(shell $(CYGPATH) '$(TOMMATH_DIR)') +WIN_DIR_NATIVE = $(shell $(CYGPATH) '$(WIN_DIR)') +ROOT_DIR_NATIVE = $(shell $(CYGPATH) '$(ROOT_DIR)') #GENERIC_DIR_NATIVE = $(GENERIC_DIR) #TOMMATH_DIR_NATIVE = $(TOMMATH_DIR) #WIN_DIR_NATIVE = $(WIN_DIR) @@ -114,7 +119,7 @@ ROOT_DIR_NATIVE = $(shell $(CYGPATH) '$(ROOT_DIR)' | sed 's!\\!/!g') # Fully qualify library path so that `make test` # does not depend on the current directory. LIBRARY_DIR1 = $(shell cd '$(ROOT_DIR_NATIVE)/library' ; pwd) -LIBRARY_DIR = $(shell $(CYGPATH) '$(LIBRARY_DIR1)' | sed 's!\\!/!g') +LIBRARY_DIR = $(shell $(CYGPATH) '$(LIBRARY_DIR1)') DLLSUFFIX = @DLLSUFFIX@ LIBSUFFIX = @LIBSUFFIX@ EXESUFFIX = @EXESUFFIX@ @@ -503,17 +508,17 @@ tclWinDde.${OBJEXT} : tclWinDde.c tclPkgConfig.${OBJEXT}: tclPkgConfig.c $(CC) -c $(CC_SWITCHES) \ - -DCFG_INSTALL_LIBDIR=\"$(LIB_INSTALL_DIR)\" \ - -DCFG_INSTALL_BINDIR=\"$(BIN_INSTALL_DIR)\" \ - -DCFG_INSTALL_SCRDIR=\"$(SCRIPT_INSTALL_DIR)\" \ - -DCFG_INSTALL_INCDIR=\"$(INCLUDE_INSTALL_DIR)\" \ + -DCFG_INSTALL_LIBDIR=\"$(LIB_INSTALL_DIR_NATIVE)\" \ + -DCFG_INSTALL_BINDIR=\"$(BIN_INSTALL_DIR_NATIVE)\" \ + -DCFG_INSTALL_SCRDIR=\"$(SCRIPT_INSTALL_DIR_NATIVE)\" \ + -DCFG_INSTALL_INCDIR=\"$(INCLUDE_INSTALL_DIR_NATIVE)\" \ -DCFG_INSTALL_DOCDIR=\"$(MAN_INSTALL_DIR)\" \ \ - -DCFG_RUNTIME_LIBDIR=\"$(libdir)\" \ - -DCFG_RUNTIME_BINDIR=\"$(bindir)\" \ - -DCFG_RUNTIME_SCRDIR=\"$(TCL_LIBRARY)\" \ - -DCFG_RUNTIME_INCDIR=\"$(includedir)\" \ - -DCFG_RUNTIME_DOCDIR=\"$(mandir)\" \ + -DCFG_RUNTIME_LIBDIR=\"$(libdir_native)\" \ + -DCFG_RUNTIME_BINDIR=\"$(bindir_native)\" \ + -DCFG_RUNTIME_SCRDIR=\"$(TCL_LIBRARY_NATIVE)\" \ + -DCFG_RUNTIME_INCDIR=\"$(includedir_native)\" \ + -DCFG_RUNTIME_DOCDIR=\"$(mandir_native)\" \ -DBUILD_tcl \ @DEPARG@ $(CC_OBJNAME) -- cgit v0.12 From b26b272f52e27f26233144697e4526a6f156e4c0 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Sat, 17 Oct 2015 07:21:19 +0000 Subject: Proposed fix for [ba44e415a0]: "Use of mutexLock causes problem with reactive event handling in AndroWish". This basically undoes the retry mechamism in Tcl_MutexLock, introduced in [9f8b7bea53]. Does this retry mechamism hurt more than it helps? Feedback requested. --- unix/tclUnixThrd.c | 51 +++++---------------------------------------------- win/tclWinThrd.c | 37 +++++-------------------------------- 2 files changed, 10 insertions(+), 78 deletions(-) diff --git a/unix/tclUnixThrd.c b/unix/tclUnixThrd.c index ae81c5f..0e8070d 100644 --- a/unix/tclUnixThrd.c +++ b/unix/tclUnixThrd.c @@ -22,19 +22,6 @@ typedef struct ThreadSpecificData { static Tcl_ThreadDataKey dataKey; /* - * This is the number of milliseconds to wait between internal retries in - * the Tcl_MutexLock function. This value must be greater than zero and - * should be a suitable value for the given platform. - * - * TODO: This may need to be dynamically determined, based on the relative - * performance of the running process. - */ - -#ifndef TCL_MUTEX_LOCK_SLEEP_TIME -# define TCL_MUTEX_LOCK_SLEEP_TIME (25) -#endif - -/* * masterLock is used to serialize creation of mutexes, condition variables, * and thread local storage. This is the only place that can count on the * ability to statically initialize the mutex. @@ -58,13 +45,6 @@ static pthread_mutex_t allocLock = PTHREAD_MUTEX_INITIALIZER; static pthread_mutex_t *allocLockPtr = &allocLock; /* - * The mutexLock serializes Tcl_MutexLock. This is necessary to prevent - * races when finalizing a mutex that some other thread may want to lock. - */ - -static pthread_mutex_t mutexLock = PTHREAD_MUTEX_INITIALIZER; - -/* * These are for the critical sections inside this file. */ @@ -380,7 +360,6 @@ TclpMasterUnlock(void) pthread_mutex_unlock(&masterLock); #endif } - /* *---------------------------------------------------------------------- @@ -457,32 +436,12 @@ retry: } MASTER_UNLOCK; } - while (1) { - pthread_mutex_lock(&mutexLock); - pmutexPtr = *((pthread_mutex_t **)mutexPtr); - if (pmutexPtr == NULL) { - pthread_mutex_unlock(&mutexLock); - goto retry; - } - if (pthread_mutex_trylock(pmutexPtr) == 0) { - pthread_mutex_unlock(&mutexLock); - return; - } - pthread_mutex_unlock(&mutexLock); - /* - * BUGBUG: All core and Thread package tests pass when usleep() - * is used; however, the Thread package tests hang at - * various places when Tcl_Sleep() is used, typically - * while running test "thread-17.8", "thread-17.9", or - * "thread-17.11a". Really, what we want here is just - * to yield to other threads for a while. - */ -#ifdef HAVE_USLEEP - usleep(TCL_MUTEX_LOCK_SLEEP_TIME * 1000); -#else - Tcl_Sleep(TCL_MUTEX_LOCK_SLEEP_TIME); -#endif + + pmutexPtr = *((pthread_mutex_t **)mutexPtr); + if (pmutexPtr == NULL) { + goto retry; } + pthread_mutex_lock(pmutexPtr); } /* diff --git a/win/tclWinThrd.c b/win/tclWinThrd.c index ae7ce80..927e115 100644 --- a/win/tclWinThrd.c +++ b/win/tclWinThrd.c @@ -24,16 +24,6 @@ _CRTIMP unsigned int __cdecl _controlfp (unsigned int unNew, unsigned int unMask #endif /* - * This is the number of milliseconds to wait between internal retries in - * the Tcl_MutexLock function. This value must be greater than or equal - * to zero and should be a suitable value for the given platform. - */ - -#ifndef TCL_MUTEX_LOCK_SLEEP_TIME -# define TCL_MUTEX_LOCK_SLEEP_TIME (0) -#endif - -/* * This is the master lock used to serialize access to other serialization * data structures. */ @@ -67,13 +57,6 @@ static int allocOnce = 0; #endif /* TCL_THREADS */ /* - * The mutexLock serializes Tcl_MutexLock. This is necessary to prevent - * races when finalizing a mutex that some other thread may want to lock. - */ - -static CRITICAL_SECTION mutexLock; - -/* * The joinLock serializes Create- and ExitThread. This is necessary to * prevent a race where a new joinable thread exits before the creating thread * had the time to create the necessary data structures in the emulation @@ -386,7 +369,6 @@ TclpInitLock(void) */ init = 1; - InitializeCriticalSection(&mutexLock); InitializeCriticalSection(&joinLock); InitializeCriticalSection(&initLock); InitializeCriticalSection(&masterLock); @@ -534,7 +516,6 @@ void TclFinalizeLock(void) { MASTER_LOCK; - DeleteCriticalSection(&mutexLock); DeleteCriticalSection(&joinLock); /* @@ -605,20 +586,12 @@ retry: } MASTER_UNLOCK; } - while (1) { - EnterCriticalSection(&mutexLock); - csPtr = *((CRITICAL_SECTION **)mutexPtr); - if (csPtr == NULL) { - LeaveCriticalSection(&mutexLock); - goto retry; - } - if (TryEnterCriticalSection(csPtr)) { - LeaveCriticalSection(&mutexLock); - return; - } - LeaveCriticalSection(&mutexLock); - Tcl_Sleep(TCL_MUTEX_LOCK_SLEEP_TIME); + + csPtr = *((CRITICAL_SECTION **)mutexPtr); + if (csPtr == NULL) { + goto retry; } + EnterCriticalSection(csPtr); } /* -- cgit v0.12 From ec590efe63eabdd8f4a8768f8cadab88ba95033e Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 19 Oct 2015 13:52:58 +0000 Subject: typo in comment. Eliminate unnecessary end-of-line spacing. --- generic/tclCompCmdsGR.c | 4 ++-- generic/tclCompCmdsSZ.c | 12 ++++++------ generic/tclDictObj.c | 4 ++-- generic/tclEncoding.c | 2 +- generic/tclFCmd.c | 2 +- generic/tclIORTrans.c | 6 +++--- generic/tclIOSock.c | 10 +++++----- generic/tclObj.c | 4 ++-- generic/tclParse.c | 4 ++-- generic/tclProc.c | 4 ++-- generic/tclResult.c | 4 ++-- 11 files changed, 28 insertions(+), 28 deletions(-) diff --git a/generic/tclCompCmdsGR.c b/generic/tclCompCmdsGR.c index ec9d054..e674fb0 100644 --- a/generic/tclCompCmdsGR.c +++ b/generic/tclCompCmdsGR.c @@ -144,7 +144,7 @@ TclCompileGlobalCmd( return TCL_ERROR; } - /* TODO: Consider what value can pass throug the + /* TODO: Consider what value can pass throug the * IndexTailVarIfKnown() screen. Full CompileWord() * likely does not apply here. Push known value instead. */ CompileWord(envPtr, varTokenPtr, interp, i); @@ -2890,7 +2890,7 @@ TclCompileVariableCmd( return TCL_ERROR; } - /* TODO: Consider what value can pass throug the + /* TODO: Consider what value can pass throug the * IndexTailVarIfKnown() screen. Full CompileWord() * likely does not apply here. Push known value instead. */ CompileWord(envPtr, varTokenPtr, interp, i); diff --git a/generic/tclCompCmdsSZ.c b/generic/tclCompCmdsSZ.c index 5d3ffd3..ef9340e 100644 --- a/generic/tclCompCmdsSZ.c +++ b/generic/tclCompCmdsSZ.c @@ -292,7 +292,7 @@ TclCompileStringCatCmd( PushStringLiteral(envPtr, ""); return TCL_OK; } - + /* General case: issue CONCAT1's (by chunks of 254 if needed), folding contiguous constants along the way */ @@ -313,7 +313,7 @@ TclCompileStringCatCmd( if (folded) { int len; const char *bytes = Tcl_GetStringFromObj(folded, &len); - + PushLiteral(envPtr, bytes, len); Tcl_DecrRefCount(folded); folded = NULL; @@ -331,7 +331,7 @@ TclCompileStringCatCmd( if (folded) { int len; const char *bytes = Tcl_GetStringFromObj(folded, &len); - + PushLiteral(envPtr, bytes, len); Tcl_DecrRefCount(folded); folded = NULL; @@ -1003,7 +1003,7 @@ TclCompileStringRangeCmd( /* * Push the operands onto the stack and then the substring operation. - */ + */ nonConstantIndices: CompileWord(envPtr, stringTokenPtr, interp, 1); @@ -2182,7 +2182,7 @@ IssueSwitchChainedTests( } /* - * Now do the actual compilation. Note that we do not use BODY() + * Now do the actual compilation. Note that we do not use BODY() * because we may have synthesized the tokens in a non-standard * pattern. */ @@ -2640,7 +2640,7 @@ TclCompileThrowCmd( } CompileWord(envPtr, msgToken, interp, 2); - codeIsList = codeKnown && (TCL_OK == + codeIsList = codeKnown && (TCL_OK == Tcl_ListObjLength(interp, objPtr, &len)); codeIsValid = codeIsList && (len != 0); diff --git a/generic/tclDictObj.c b/generic/tclDictObj.c index 980f0a8..c8474e6 100644 --- a/generic/tclDictObj.c +++ b/generic/tclDictObj.c @@ -3051,14 +3051,14 @@ DictFilterCmd( Tcl_IncrRefCount(valueObj); if (Tcl_ObjSetVar2(interp, keyVarObj, NULL, keyObj, TCL_LEAVE_ERR_MSG) == NULL) { - Tcl_AddErrorInfo(interp, + Tcl_AddErrorInfo(interp, "\n (\"dict filter\" filter script key variable)"); result = TCL_ERROR; goto abnormalResult; } if (Tcl_ObjSetVar2(interp, valueVarObj, NULL, valueObj, TCL_LEAVE_ERR_MSG) == NULL) { - Tcl_AddErrorInfo(interp, + Tcl_AddErrorInfo(interp, "\n (\"dict filter\" filter script value variable)"); result = TCL_ERROR; goto abnormalResult; diff --git a/generic/tclEncoding.c b/generic/tclEncoding.c index 4ae017d..4edebcf 100644 --- a/generic/tclEncoding.c +++ b/generic/tclEncoding.c @@ -1450,7 +1450,7 @@ Tcl_UtfToExternal( * * Side effects: * The absolute pathname for the application is computed and stored to be - * returned later be [info nameofexecutable]. + * returned later by [info nameofexecutable]. * *--------------------------------------------------------------------------- */ diff --git a/generic/tclFCmd.c b/generic/tclFCmd.c index f335269..bb814ea 100644 --- a/generic/tclFCmd.c +++ b/generic/tclFCmd.c @@ -120,7 +120,7 @@ FileCopyRename( } i++; if ((objc - i) < 2) { - Tcl_WrongNumArgs(interp, 1, objv, + Tcl_WrongNumArgs(interp, 1, objv, "?-option value ...? source ?source ...? target"); return TCL_ERROR; } diff --git a/generic/tclIORTrans.c b/generic/tclIORTrans.c index 8baa9ad..af86ba5 100644 --- a/generic/tclIORTrans.c +++ b/generic/tclIORTrans.c @@ -943,7 +943,7 @@ ReflectClose( Tcl_EventuallyFree(rtPtr, (Tcl_FreeProc *) FreeReflectedTransform); return errorCode; - } + } #endif /* TCL_THREADS */ errorCodeSet = 1; goto cleanup; @@ -957,7 +957,7 @@ ReflectClose( Tcl_EventuallyFree(rtPtr, (Tcl_FreeProc *) FreeReflectedTransform); return errorCode; - } + } #endif /* TCL_THREADS */ errorCodeSet = 1; goto cleanup; @@ -1177,7 +1177,7 @@ ReflectInput( */ rtPtr->eofPending = 1; - + /* * Now this is a bit different. The partial data waiting is * converted and returned. diff --git a/generic/tclIOSock.c b/generic/tclIOSock.c index f69d30f..d578d19 100644 --- a/generic/tclIOSock.c +++ b/generic/tclIOSock.c @@ -23,7 +23,7 @@ static Tcl_ThreadDataKey dataKey; #undef gai_strerror static const char *gai_strerror(int code) { ThreadSpecificData *tsdPtr = TCL_TSD_INIT(&dataKey); - + if (tsdPtr->initialized) { Tcl_DStringFree(&tsdPtr->errorMsg); } else { @@ -187,11 +187,11 @@ TclCreateSocketAddress( TclFormatInt(portbuf, port); portstring = portbuf; } - + (void) memset(&hints, 0, sizeof(hints)); hints.ai_family = AF_UNSPEC; - /* + /* * Magic variable to enforce a certain address family - to be superseded * by a TIP that adds explicit switches to [socket] */ @@ -228,7 +228,7 @@ TclCreateSocketAddress( if (willBind) { hints.ai_flags |= AI_PASSIVE; - } + } result = getaddrinfo(native, portstring, &hints, addrlist); @@ -283,7 +283,7 @@ TclCreateSocketAddress( for (p = *addrlist; p != NULL; p = p->ai_next) { i++; } - + return 1; } diff --git a/generic/tclObj.c b/generic/tclObj.c index 15ea91f..c641152 100644 --- a/generic/tclObj.c +++ b/generic/tclObj.c @@ -3972,10 +3972,10 @@ TclCompareObjKeys( /* * If the object pointers are the same then they match. * OPT: this comparison was moved to the caller - + if (objPtr1 == objPtr2) return 1; */ - + /* * Don't use Tcl_GetStringFromObj as it would prevent l1 and l2 being * in a register. diff --git a/generic/tclParse.c b/generic/tclParse.c index effc201..95abc45 100644 --- a/generic/tclParse.c +++ b/generic/tclParse.c @@ -12,7 +12,7 @@ * See the file "license.terms" for information on usage and redistribution of * this file, and for a DISCLAIMER OF ALL WARRANTIES. */ - + #include "tclInt.h" #include "tclParse.h" #include @@ -1915,7 +1915,7 @@ Tcl_ParseQuotedString( * flags argument to provide support for the -nobackslashes, -nocommands, * and -novariables options, as represented by the flag values * TCL_SUBST_BACKSLASHES, TCL_SUBST_COMMANDS, TCL_SUBST_VARIABLES. - * + * * Results: * None. * diff --git a/generic/tclProc.c b/generic/tclProc.c index 02bda51..ac65bde 100644 --- a/generic/tclProc.c +++ b/generic/tclProc.c @@ -1854,8 +1854,8 @@ InterpProcNR2( if (result != TCL_OK) { goto process; } - - done: + + done: if (TCL_DTRACE_PROC_RESULT_ENABLED()) { int l = iPtr->varFramePtr->isProcCallFrame & FRAME_IS_LAMBDA ? 1 : 0; Tcl_Obj *r = Tcl_GetObjResult(interp); diff --git a/generic/tclResult.c b/generic/tclResult.c index 2f2563a..9d0714c 100644 --- a/generic/tclResult.c +++ b/generic/tclResult.c @@ -1293,7 +1293,7 @@ TclProcessReturn( if (Tcl_IsShared(iPtr->errorStack)) { Tcl_Obj *newObj; - + newObj = Tcl_DuplicateObj(iPtr->errorStack); Tcl_DecrRefCount(iPtr->errorStack); Tcl_IncrRefCount(newObj); @@ -1626,7 +1626,7 @@ TclNoErrorStack( Tcl_Obj *options) { Tcl_Obj **keys = GetKeys(); - + Tcl_DictObjRemove(interp, options, keys[KEY_ERRORSTACK]); return options; } -- cgit v0.12 From 742b7cee05467846b9ad80a57eacf888dffa845f Mon Sep 17 00:00:00 2001 From: dkf Date: Mon, 19 Oct 2015 14:07:48 +0000 Subject: [154f0982f2] Document that Tcl_NewObjectInstance() really needs to make a namespace. --- doc/Class.3 | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/doc/Class.3 b/doc/Class.3 index 7e421fe..1c3fe08 100644 --- a/doc/Class.3 +++ b/doc/Class.3 @@ -71,7 +71,8 @@ The name of the object to create, or NULL if a new unused name is to be automatically selected. .AP "const char" *nsName in The name of the namespace to create for the object's private use, or NULL if a -new unused name is to be automatically selected. +new unused name is to be automatically selected. The namespace must not +already exist. .AP int objc in The number of elements in the \fIobjv\fR array. .AP "Tcl_Obj *const" *objv in -- cgit v0.12 From b8c0c06fdf9f099f27f114fc9c92b7786dce13a5 Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 19 Oct 2015 17:42:43 +0000 Subject: Adaptation of the patch re-fixconstraintloops.patch from http://www.postgresql.org/message-id/19394.1444865029@sss.pgh.pa.us --- generic/regc_nfa.c | 655 ++++++++++++++++++++++++++++++++++++++++++++++++----- generic/regcomp.c | 7 + tests/reg.test | 25 ++ 3 files changed, 633 insertions(+), 54 deletions(-) diff --git a/generic/regc_nfa.c b/generic/regc_nfa.c index 1d572c3..20eb3ba 100644 --- a/generic/regc_nfa.c +++ b/generic/regc_nfa.c @@ -34,6 +34,7 @@ #define NISERR() VISERR(nfa->v) #define NERR(e) VERR(nfa->v, (e)) +#define STACK_TOO_DEEP(x) (0) /* - newnfa - set up an NFA @@ -883,6 +884,20 @@ specialcolors( - optimize - optimize an NFA ^ static long optimize(struct nfa *, FILE *); */ + + /* + * The main goal of this function is not so much "optimization" (though it + * does try to get rid of useless NFA states) as reducing the NFA to a form + * the regex executor can handle. The executor, and indeed the cNFA format + * that is its input, can only handle PLAIN and LACON arcs. The output of + * the regex parser also includes EMPTY (do-nothing) arcs, as well as + * ^, $, AHEAD, and BEHIND constraint arcs, which we must get rid of here. + * We first get rid of EMPTY arcs and then deal with the constraint arcs. + * The hardest part of either job is to get rid of circular loops of the + * target arc type. We would have to do that in any case, though, as such a + * loop would otherwise allow the executor to cycle through the loop endlessly + * without making any progress in the input string. + */ static long /* re_info bits */ optimize( struct nfa *nfa, @@ -904,6 +919,7 @@ optimize( if (verbose) { fprintf(f, "\nconstraints:\n"); } + fixconstraintloops(nfa, f); /* get rid of constraint loops */ pullback(nfa, f); /* pull back constraints backward */ pushfwd(nfa, f); /* push fwd constraints forward */ if (verbose) { @@ -914,7 +930,7 @@ optimize( } /* - - pullback - pull back constraints backward to (with luck) eliminate them + - pullback - pull back constraints backward to eliminate them ^ static VOID pullback(struct nfa *, FILE *); */ static void @@ -954,6 +970,12 @@ pullback( return; } + /* + * Any ^ constraints we were able to pull to the start state can now be + * replaced by PLAIN arcs referencing the BOS or BOL colors. There should + * be no other ^ or BEHIND arcs left in the NFA, though we do not check + * that here (compact() will fail if so). + */ for (a=nfa->pre->outs ; a!=NULL ; a=nexta) { nexta = a->outchain; if (a->type == '^') { @@ -982,10 +1004,7 @@ pull( struct arc *nexta; struct state *s; - if (from == to) { /* circular constraint is pointless */ - freearc(nfa, con); - return 1; - } + assert(from != to); /* should have gotten rid of this earlier */ if (from->flag) { /* can't pull back beyond start */ return 0; } @@ -995,25 +1014,6 @@ pull( } /* - * DGP 2007-11-15: Cloning a state with a circular constraint on its list - * of outs can lead to trouble [Bug 1810038], so get rid of them first. - */ - - for (a = from->outs; a != NULL; a = nexta) { - nexta = a->outchain; - switch (a->type) { - case '^': - case '$': - case BEHIND: - case AHEAD: - if (from == a->to) { - freearc(nfa, a); - } - break; - } - } - - /* * First, clone from state if necessary to avoid other outarcs. */ @@ -1022,7 +1022,6 @@ pull( if (NISERR()) { return 0; } - assert(to != from); /* con is not an inarc */ copyins(nfa, from, s, 1); /* duplicate inarcs */ cparc(nfa, con, s, to); /* move constraint arc */ freearc(nfa, con); @@ -1071,7 +1070,7 @@ pull( } /* - - pushfwd - push forward constraints forward to (with luck) eliminate them + - pushfwd - push forward constraints forward to eliminate them ^ static VOID pushfwd(struct nfa *, FILE *); */ static void @@ -1111,6 +1110,12 @@ pushfwd( return; } + /* + * Any $ constraints we were able to push to the post state can now be + * replaced by PLAIN arcs referencing the EOS or EOL colors. There should + * be no other $ or AHEAD arcs left in the NFA, though we do not check + * that here (compact() will fail if so). + */ for (a = nfa->post->ins; a != NULL; a = nexta) { nexta = a->inchain; if (a->type == '$') { @@ -1139,10 +1144,7 @@ push( struct arc *nexta; struct state *s; - if (to == from) { /* circular constraint is pointless */ - freearc(nfa, con); - return 1; - } + assert(to != from); /* should have gotten rid of this earlier */ if (to->flag) { /* can't push forward beyond end */ return 0; } @@ -1152,28 +1154,6 @@ push( } /* - * DGP 2007-11-15: Here we duplicate the same protections as appear - * in pull() above to avoid troubles with cloning a state with a - * circular constraint on its list of ins. It is not clear whether - * this is necessary, or is protecting against a "can't happen". - * Any test case that actually leads to a freearc() call here would - * be a welcome addition to the test suite. - */ - - for (a = to->ins; a != NULL; a = nexta) { - nexta = a->inchain; - switch (a->type) { - case '^': - case '$': - case BEHIND: - case AHEAD: - if (a->from == to) { - freearc(nfa, a); - } - break; - } - } - /* * First, clone to state if necessary to avoid other inarcs. */ @@ -1503,6 +1483,573 @@ replaceempty( copyins(nfa, from, to, 0); } + +/* + * isconstraintarc - detect whether an arc is of a constraint type + */ +static inline int +isconstraintarc(struct arc * a) +{ + switch (a->type) + { + case '^': + case '$': + case BEHIND: + case AHEAD: + case LACON: + return 1; + } + return 0; +} + +/* + * hasconstraintout - does state have a constraint out arc? + */ +static int +hasconstraintout(struct state * s) +{ + struct arc *a; + + for (a = s->outs; a != NULL; a = a->outchain) { + if (isconstraintarc(a)) { + return 1; + } + } + return 0; +} + +/* + * fixconstraintloops - get rid of loops containing only constraint arcs + * + * A loop of states that contains only constraint arcs is useless, since + * passing around the loop represents no forward progress. Moreover, it + * would cause infinite looping in pullback/pushfwd, so we need to get rid + * of such loops before doing that. + */ +static void +fixconstraintloops( + struct nfa * nfa, + FILE *f) /* for debug output; NULL none */ +{ + struct state *s; + struct state *nexts; + struct arc *a; + struct arc *nexta; + int hasconstraints; + + /* + * In the trivial case of a state that loops to itself, we can just drop + * the constraint arc altogether. This is worth special-casing because + * such loops are far more common than loops containing multiple states. + * While we're at it, note whether any constraint arcs survive. + */ + hasconstraints = 0; + for (s = nfa->states; s != NULL && !NISERR(); s = nexts) { + nexts = s->next; + /* while we're at it, ensure tmp fields are clear for next step */ + assert(s->tmp == NULL); + for (a = s->outs; a != NULL && !NISERR(); a = nexta) { + nexta = a->outchain; + if (isconstraintarc(a)) { + if (a->to == s) { + freearc(nfa, a); + } else { + hasconstraints = 1; + } + } + } + /* If we removed all the outarcs, the state is useless. */ + if (s->nouts == 0 && !s->flag) { + dropstate(nfa, s); + } + } + + /* Nothing to do if no remaining constraint arcs */ + if (NISERR() || !hasconstraints) { + return; + } + + /* + * Starting from each remaining NFA state, search outwards for a + * constraint loop. If we find a loop, break the loop, then start the + * search over. (We could possibly retain some state from the first scan, + * but it would complicate things greatly, and multi-state constraint + * loops are rare enough that it's not worth optimizing the case.) + */ + restart: + for (s = nfa->states; s != NULL && !NISERR(); s = s->next) { + if (findconstraintloop(nfa, s)) { + goto restart; + } + } + + if (NISERR()) { + return; + } + + /* + * Now remove any states that have become useless. (This cleanup is not + * very thorough, and would be even less so if we tried to combine it with + * the previous step; but cleanup() will take care of anything we miss.) + * + * Because findconstraintloop intentionally doesn't reset all tmp fields, + * we have to clear them after it's done. This is a convenient place to + * do that, too. + */ + for (s = nfa->states; s != NULL; s = nexts) { + nexts = s->next; + s->tmp = NULL; + if ((s->nins == 0 || s->nouts == 0) && !s->flag) { + dropstate(nfa, s); + } + } + + if (f != NULL) { + dumpnfa(nfa, f); + } +} + +/* + * findconstraintloop - recursively find a loop of constraint arcs + * + * If we find a loop, break it by calling breakconstraintloop(), then + * return 1; otherwise return 0. + * + * State tmp fields are guaranteed all NULL on a success return, because + * breakconstraintloop does that. After a failure return, any state that + * is known not to be part of a loop is marked with s->tmp == s; this allows + * us not to have to re-prove that fact on later calls. (This convention is + * workable because we already eliminated single-state loops.) + * + * Note that the found loop doesn't necessarily include the first state we + * are called on. Any loop reachable from that state will do. + * + * The maximum recursion depth here is one more than the length of the longest + * loop-free chain of constraint arcs, which is surely no more than the size + * of the NFA, and in practice will be a lot less than that. + */ +static int +findconstraintloop(struct nfa * nfa, struct state * s) +{ + struct arc *a; + + /* Since this is recursive, it could be driven to stack overflow */ + if (STACK_TOO_DEEP(nfa->v->re)) { + NERR(REG_ETOOBIG); + return 1; /* to exit as quickly as possible */ + } + + if (s->tmp != NULL) { + /* Already proven uninteresting? */ + if (s->tmp == s) { + return 0; + } + /* Found a loop involving s */ + breakconstraintloop(nfa, s); + /* The tmp fields have been cleaned up by breakconstraintloop */ + return 1; + } + for (a = s->outs; a != NULL; a = a->outchain) { + if (isconstraintarc(a)) { + struct state *sto = a->to; + + assert(sto != s); + s->tmp = sto; + if (findconstraintloop(nfa, sto)) { + return 1; + } + } + } + + /* + * If we get here, no constraint loop exists leading out from s. Mark it + * with s->tmp == s so we need not rediscover that fact again later. + */ + s->tmp = s; + return 0; +} + +/* + * breakconstraintloop - break a loop of constraint arcs + * + * sinitial is any one member state of the loop. Each loop member's tmp + * field links to its successor within the loop. (Note that this function + * will reset all the tmp fields to NULL.) + * + * We can break the loop by, for any one state S1 in the loop, cloning its + * loop successor state S2 (and possibly following states), and then moving + * all S1->S2 constraint arcs to point to the cloned S2. The cloned S2 should + * copy any non-constraint outarcs of S2. Constraint outarcs should be + * dropped if they point back to S1, else they need to be copied as arcs to + * similarly cloned states S3, S4, etc. In general, each cloned state copies + * non-constraint outarcs, drops constraint outarcs that would lead to itself + * or any earlier cloned state, and sends other constraint outarcs to newly + * cloned states. No cloned state will have any inarcs that aren't constraint + * arcs or do not lead from S1 or earlier-cloned states. It's okay to drop + * constraint back-arcs since they would not take us to any state we've not + * already been in; therefore, no new constraint loop is created. In this way + * we generate a modified NFA that can still represent every useful state + * sequence, but not sequences that represent state loops with no consumption + * of input data. Note that the set of cloned states will certainly include + * all of the loop member states other than S1, and it may also include + * non-loop states that are reachable from S2 via constraint arcs. This is + * important because there is no guarantee that findconstraintloop found a + * maximal loop (and searching for one would be NP-hard, so don't try). + * Frequently the "non-loop states" are actually part of a larger loop that + * we didn't notice, and indeed there may be several overlapping loops. + * This technique ensures convergence in such cases, while considering only + * the originally-found loop does not. + * + * If there is only one S1->S2 constraint arc, then that constraint is + * certainly satisfied when we enter any of the clone states. This means that + * in the common case where many of the constraint arcs are identically + * labeled, we can merge together clone states linked by a similarly-labeled + * constraint: if we can get to the first one we can certainly get to the + * second, so there's no need to distinguish. This greatly reduces the number + * of new states needed, so we preferentially break the given loop at a state + * pair where this is true. + * + * Furthermore, it's fairly common to find that a cloned successor state has + * no outarcs, especially if we're a bit aggressive about removing unnecessary + * outarcs. If that happens, then there is simply not any interesting state + * that can be reached through the predecessor's loop arcs, which means we can + * break the loop just by removing those loop arcs, with no new states added. + */ +static void +breakconstraintloop(struct nfa * nfa, struct state * sinitial) +{ + struct state *s; + struct state *shead; + struct state *stail; + struct state *sclone; + struct state *nexts; + struct arc *refarc; + struct arc *a; + struct arc *nexta; + + /* + * Start by identifying which loop step we want to break at. + * Preferentially this is one with only one constraint arc. (XXX are + * there any other secondary heuristics we want to use here?) Set refarc + * to point to the selected lone constraint arc, if there is one. + */ + refarc = NULL; + s = sinitial; + do { + nexts = s->tmp; + assert(nexts != s); /* should not see any one-element loops */ + if (refarc == NULL) { + int narcs = 0; + + for (a = s->outs; a != NULL; a = a->outchain) { + if (a->to == nexts && isconstraintarc(a)) { + refarc = a; + narcs++; + } + } + assert(narcs > 0); + if (narcs > 1) { + refarc = NULL; /* multiple constraint arcs here, no good */ + } + } + s = nexts; + } while (s != sinitial); + + if (refarc) { + /* break at the refarc */ + shead = refarc->from; + stail = refarc->to; + assert(stail == shead->tmp); + } else { + /* for lack of a better idea, break after sinitial */ + shead = sinitial; + stail = sinitial->tmp; + } + + /* + * Reset the tmp fields so that we can use them for local storage in + * clonesuccessorstates. (findconstraintloop won't mind, since it's just + * going to abandon its search anyway.) + */ + for (s = nfa->states; s != NULL; s = s->next) { + s->tmp = NULL; + } + + /* + * Recursively build clone state(s) as needed. + */ + sclone = newstate(nfa); + if (sclone == NULL) { + assert(NISERR()); + return; + } + + clonesuccessorstates(nfa, stail, sclone, shead, refarc, + NULL, NULL, nfa->nstates); + + if (NISERR()) { + return; + } + + /* + * It's possible that sclone has no outarcs at all, in which case it's + * useless. (We don't try extremely hard to get rid of useless states + * here, but this is an easy and fairly common case.) + */ + if (sclone->nouts == 0) { + freestate(nfa, sclone); + sclone = NULL; + } + + /* + * Move shead's constraint-loop arcs to point to sclone, or just drop them + * if we discovered we don't need sclone. + */ + for (a = shead->outs; a != NULL; a = nexta) { + nexta = a->outchain; + if (a->to == stail && isconstraintarc(a)) { + if (sclone) { + cparc(nfa, a, shead, sclone); + } + freearc(nfa, a); + if (NISERR()) { + break; + } + } + } +} + +/* + * clonesuccessorstates - create a tree of constraint-arc successor states + * + * ssource is the state to be cloned, and sclone is the state to copy its + * outarcs into. sclone's inarcs, if any, should already be set up. + * + * spredecessor is the original predecessor state that we are trying to build + * successors for (it may not be the immediate predecessor of ssource). + * refarc, if not NULL, is the original constraint arc that is known to have + * been traversed out of spredecessor to reach the successor(s). + * + * For each cloned successor state, we transiently create a "donemap" that is + * a boolean array showing which source states we've already visited for this + * clone state. This prevents infinite recursion as well as useless repeat + * visits to the same state subtree (which can add up fast, since typical NFAs + * have multiple redundant arc pathways). Each donemap is a char array + * indexed by state number. The donemaps are all of the same size "nstates", + * which is nfa->nstates as of the start of the recursion. This is enough to + * have entries for all pre-existing states, but *not* entries for clone + * states created during the recursion. That's okay since we have no need to + * mark those. + * + * curdonemap is NULL when recursing to a new sclone state, or sclone's + * donemap when we are recursing without having created a new state (which we + * do when we decide we can merge a successor state into the current clone + * state). outerdonemap is NULL at the top level and otherwise the parent + * clone state's donemap. + * + * The successor states we create and fill here form a strict tree structure, + * with each state having exactly one predecessor, except that the toplevel + * state has no inarcs as yet (breakconstraintloop will add its inarcs from + * spredecessor after we're done). Thus, we can examine sclone's inarcs back + * to the root, plus refarc if any, to identify the set of constraints already + * known valid at the current point. This allows us to avoid generating extra + * successor states. + */ +static void +clonesuccessorstates( + struct nfa * nfa, + struct state * ssource, + struct state * sclone, + struct state * spredecessor, + struct arc * refarc, + char *curdonemap, + char *outerdonemap, + int nstates) +{ + char *donemap; + struct arc *a; + + /* Since this is recursive, it could be driven to stack overflow */ + if (STACK_TOO_DEEP(nfa->v->re)) { + NERR(REG_ETOOBIG); + return; + } + + /* If this state hasn't already got a donemap, create one */ + donemap = curdonemap; + if (donemap == NULL) { + donemap = (char *) MALLOC(nstates * sizeof(char)); + if (donemap == NULL) { + NERR(REG_ESPACE); + return; + } + + if (outerdonemap != NULL) { + /* + * Not at outermost recursion level, so copy the outer level's + * donemap; this ensures that we see states in process of being + * visited at outer levels, or already merged into predecessor + * states, as ones we shouldn't traverse back to. + */ + memcpy(donemap, outerdonemap, nstates * sizeof(char)); + } else { + /* At outermost level, only spredecessor is off-limits */ + memset(donemap, 0, nstates * sizeof(char)); + assert(spredecessor->no < nstates); + donemap[spredecessor->no] = 1; + } + } + + /* Mark ssource as visited in the donemap */ + assert(ssource->no < nstates); + assert(donemap[ssource->no] == 0); + donemap[ssource->no] = 1; + + /* + * We proceed by first cloning all of ssource's outarcs, creating new + * clone states as needed but not doing more with them than that. Then in + * a second pass, recurse to process the child clone states. This allows + * us to have only one child clone state per reachable source state, even + * when there are multiple outarcs leading to the same state. Also, when + * we do visit a child state, its set of inarcs is known exactly, which + * makes it safe to apply the constraint-is-already-checked optimization. + * Also, this ensures that we've merged all the states we can into the + * current clone before we recurse to any children, thus possibly saving + * them from making extra images of those states. + * + * While this function runs, child clone states of the current state are + * marked by setting their tmp fields to point to the original state they + * were cloned from. This makes it possible to detect multiple outarcs + * leading to the same state, and also makes it easy to distinguish clone + * states from original states (which will have tmp == NULL). + */ + for (a = ssource->outs; a != NULL && !NISERR(); a = a->outchain) { + struct state *sto = a->to; + + /* + * We do not consider cloning successor states that have no constraint + * outarcs; just link to them as-is. They cannot be part of a + * constraint loop so there is no need to make copies. In particular, + * this rule keeps us from trying to clone the post state, which would + * be a bad idea. + */ + if (isconstraintarc(a) && hasconstraintout(sto)) { + struct state *prevclone; + int canmerge; + struct arc *a2; + + /* + * Back-link constraint arcs must not be followed. Nor is there a + * need to revisit states previously merged into this clone. + */ + assert(sto->no < nstates); + if (donemap[sto->no] != 0) { + continue; + } + + /* + * Check whether we already have a child clone state for this + * source state. + */ + prevclone = NULL; + for (a2 = sclone->outs; a2 != NULL; a2 = a2->outchain) { + if (a2->to->tmp == sto) { + prevclone = a2->to; + break; + } + } + + /* + * If this arc is labeled the same as refarc, or the same as any + * arc we must have traversed to get to sclone, then no additional + * constraints need to be met to get to sto, so we should just + * merge its outarcs into sclone. + */ + if (refarc && a->type == refarc->type && a->co == refarc->co) { + canmerge = 1; + } else { + struct state *s; + + canmerge = 0; + for (s = sclone; s->ins; s = s->ins->from) { + if (s->nins == 1 && + a->type == s->ins->type && a->co == s->ins->co) { + canmerge = 1; + break; + } + } + } + + if (canmerge) { + /* + * We can merge into sclone. If we previously made a child + * clone state, drop it; there's no need to visit it. (This + * can happen if ssource has multiple pathways to sto, and we + * only just now found one that is provably a no-op.) + */ + if (prevclone) { + dropstate(nfa, prevclone); /* kills our outarc, too */ + } + + /* Recurse to merge sto's outarcs into sclone */ + clonesuccessorstates(nfa, sto, sclone, spredecessor, refarc, + donemap, outerdonemap, nstates); + /* sto should now be marked as previously visited */ + assert(NISERR() || donemap[sto->no] == 1); + } else if (prevclone) { + /* + * We already have a clone state for this successor, so just + * make another arc to it. + */ + cparc(nfa, a, sclone, prevclone); + } else { + /* + * We need to create a new successor clone state. + */ + struct state *stoclone; + + stoclone = newstate(nfa); + if (stoclone == NULL) { + assert(NISERR()); + break; + } + /* Mark it as to what it's a clone of */ + stoclone->tmp = sto; + /* ... and add the outarc leading to it */ + cparc(nfa, a, sclone, stoclone); + } + } else { + /* + * Non-constraint outarcs just get copied to sclone, as do outarcs + * leading to states with no constraint outarc. + */ + cparc(nfa, a, sclone, sto); + } + } + + /* + * If we are at outer level for this clone state, recurse to all its child + * clone states, clearing their tmp fields as we go. (If we're not + * outermost for sclone, leave this to be done by the outer call level.) + * Note that if we have multiple outarcs leading to the same clone state, + * it will only be recursed-to once. + */ + if (curdonemap == NULL) { + for (a = sclone->outs; a != NULL && !NISERR(); a = a->outchain) { + struct state *stoclone = a->to; + struct state *sto = stoclone->tmp; + + if (sto != NULL) { + stoclone->tmp = NULL; + clonesuccessorstates(nfa, sto, stoclone, spredecessor, refarc, + NULL, donemap, nstates); + } + } + + /* Don't forget to free sclone's donemap when done with it */ + FREE(donemap); + } +} /* - cleanup - clean up NFA after optimizations @@ -1618,7 +2165,7 @@ analyze( } /* - - compact - compact an NFA + - compact - construct the compact representation of an NFA ^ static VOID compact(struct nfa *, struct cnfa *); */ static void @@ -1687,7 +2234,7 @@ compact( cnfa->flags |= HASLACONS; break; default: - assert(NOTREACHED); + NERR(REG_ASSERT); break; } } diff --git a/generic/regcomp.c b/generic/regcomp.c index b1c02d8..27bb736 100644 --- a/generic/regcomp.c +++ b/generic/regcomp.c @@ -149,6 +149,13 @@ static int combine(struct arc *, struct arc *); static void fixempties(struct nfa *, FILE *); static struct state *emptyreachable(struct state *, struct state *); static void replaceempty(struct nfa *, struct state *, struct state *); +static int isconstraintarc(struct arc *); +static int hasconstraintout(struct state *); +static void fixconstraintloops(struct nfa *, FILE *); +static int findconstraintloop(struct nfa *, struct state *); +static void breakconstraintloop(struct nfa *, struct state *); +static void clonesuccessorstates(struct nfa *, struct state *, struct state *, + struct state *, struct arc *, char *, char *, int); static void cleanup(struct nfa *); static void markreachable(struct nfa *, struct state *, struct state *, struct state *); static void markcanreach(struct nfa *, struct state *, struct state *, struct state *); diff --git a/tests/reg.test b/tests/reg.test index 0ebfa11..b259ce5 100644 --- a/tests/reg.test +++ b/tests/reg.test @@ -1068,6 +1068,31 @@ test reg-33.13 {Bug 1810264 - infinite loop} { test reg-33.14 {Bug 1810264 - super-expensive expression} nonPortable { regexp {(x{200}){200}$y} {x} } 0 + +test reg-33.15 {constraint fixes} { + regexp {(^)+^} x +} 1 +test reg-33.16 {constraint fixes} { + regexp {($^)+} x +} 0 +test reg-33.17 {constraint fixes} { + regexp {(^$)*} x +} 1 +test reg-33.18 {constraint fixes} { + regexp {(^(?!aa))+} {aa bb cc} +} 0 +test reg-33.19 {constraint fixes} { + regexp {(^(?!aa)(?!bb)(?!cc))+} {aa x} +} 0 +test reg-33.20 {constraint fixes} { + regexp {(^(?!aa)(?!bb)(?!cc))+} {bb x} +} 0 +test reg-33.21 {constraint fixes} { + regexp {(^(?!aa)(?!bb)(?!cc))+} {cc x} +} 0 +test reg-33.22 {constraint fixes} { + regexp {(^(?!aa)(?!bb)(?!cc))+} {dd x} +} 1 # cleanup ::tcltest::cleanupTests -- cgit v0.12 From 8ed7672ab71b54afa94e164e73fdc274b0b39771 Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 19 Oct 2015 19:32:04 +0000 Subject: Adaptation of re-oNsquared.patch from Tom Lane @ postgres. --- generic/regc_nfa.c | 805 ++++++++++++++++++++++++++++++++++++++++++++++------- generic/regcomp.c | 10 +- generic/regguts.h | 4 +- 3 files changed, 720 insertions(+), 99 deletions(-) diff --git a/generic/regc_nfa.c b/generic/regc_nfa.c index 20eb3ba..0f572b8 100644 --- a/generic/regc_nfa.c +++ b/generic/regc_nfa.c @@ -35,6 +35,8 @@ #define NISERR() VISERR(nfa->v) #define NERR(e) VERR(nfa->v, (e)) #define STACK_TOO_DEEP(x) (0) +#define CANCEL_REQUESTED(x) (0) +#define REG_CANCEL 777 /* - newnfa - set up an NFA @@ -322,6 +324,10 @@ destroystate( ^ static VOID newarc(struct nfa *, int, pcolor, struct state *, ^ struct state *); */ +/* + * This function checks to make sure that no duplicate arcs are created. + * In general we never want duplicates. + */ static void newarc( struct nfa *nfa, @@ -334,16 +340,42 @@ newarc( assert(from != NULL && to != NULL); - /* - * Check for duplicates. - */ - - for (a=from->outs ; a!=NULL ; a=a->outchain) { - if (a->to == to && a->co == co && a->type == t) { - return; + /* check for duplicate arc, using whichever chain is shorter */ + if (from->nouts <= to->nins) { + for (a = from->outs; a != NULL; a = a->outchain) { + if (a->to == to && a->co == co && a->type == t) { + return; + } + } + } else { + for (a = to->ins; a != NULL; a = a->inchain) { + if (a->from == from && a->co == co && a->type == t) { + return; + } } } + + /* no dup, so create the arc */ + createarc(nfa, t, co, from, to); +} +/* + * createarc - create a new arc within an NFA + * + * This function must *only* be used after verifying that there is no existing + * identical arc (same type/color/from/to). + */ +static void +createarc( + struct nfa * nfa, + int t, + pcolor co, + struct state * from, + struct state * to) +{ + struct arc *a; + + /* the arc is physically allocated within its from-state */ a = allocarc(nfa, from); if (NISERR()) { return; @@ -356,15 +388,21 @@ newarc( a->from = from; /* - * Put the new arc on the beginning, not the end, of the chains. Not only - * is this easier, it has the very useful side effect that deleting the - * most-recently-added arc is the cheapest case rather than the most - * expensive one. + * Put the new arc on the beginning, not the end, of the chains; it's + * simpler here, and freearc() is the same cost either way. See also the + * logic in moveins() and its cohorts, as well as fixempties(). */ - a->inchain = to->ins; + a->inchainRev = NULL; + if (to->ins) { + to->ins->inchainRev = a; + } to->ins = a; a->outchain = from->outs; + a->outchainRev = NULL; + if (from->outs) { + from->outs->outchainRev = a; + } from->outs = a; from->nouts++; @@ -437,7 +475,7 @@ freearc( { struct state *from = victim->from; struct state *to = victim->to; - struct arc *a; + struct arc *predecessor; assert(victim->type != 0); @@ -454,16 +492,17 @@ freearc( */ assert(from != NULL); - assert(from->outs != NULL); - a = from->outs; - if (a == victim) { /* simple case: first in chain */ + predecessor = victim->outchainRev; + if (predecessor == NULL) { + assert(from->outs == victim); from->outs = victim->outchain; } else { - for (; a!=NULL && a->outchain!=victim ; a=a->outchain) { - continue; - } - assert(a != NULL); - a->outchain = victim->outchain; + assert(predecessor->outchain == victim); + predecessor->outchain = victim->outchain; + } + if (victim->outchain != NULL) { + assert(victim->outchain->outchainRev == victim); + victim->outchain->outchainRev = predecessor; } from->nouts--; @@ -472,31 +511,78 @@ freearc( */ assert(to != NULL); - assert(to->ins != NULL); - a = to->ins; - if (a == victim) { /* simple case: first in chain */ + predecessor = victim->inchainRev; + if (predecessor == NULL) { + assert(to->ins == victim); to->ins = victim->inchain; } else { - for (; a->inchain!=victim ; a=a->inchain) { - assert(a->inchain != NULL); - continue; - } - a->inchain = victim->inchain; + assert(predecessor->inchain == victim); + predecessor->inchain = victim->inchain; + } + if (victim->inchain != NULL) { + assert(victim->inchain->inchainRev == victim); + victim->inchain->inchainRev = predecessor; } to->nins--; /* - * Clean up and place on free list. + * Clean up and place on from-state's free list. */ victim->type = 0; victim->from = NULL; /* precautions... */ victim->to = NULL; victim->inchain = NULL; + victim->inchainRev = NULL; victim->outchain = NULL; + victim->outchainRev = NULL; victim->freechain = from->free; from->free = victim; } + +/* + * changearctarget - flip an arc to have a different to state + * + * Caller must have verified that there is no pre-existing duplicate arc. + * + * Note that because we store arcs in their from state, we can't easily have + * a similar changearcsource function. + */ +static void +changearctarget(struct arc * a, struct state * newto) +{ + struct state *oldto = a->to; + struct arc *predecessor; + + assert(oldto != newto); + + /* take it off old target's in-chain */ + assert(oldto != NULL); + predecessor = a->inchainRev; + if (predecessor == NULL) { + assert(oldto->ins == a); + oldto->ins = a->inchain; + } else { + assert(predecessor->inchain == a); + predecessor->inchain = a->inchain; + } + if (a->inchain != NULL) { + assert(a->inchain->inchainRev == a); + a->inchain->inchainRev = predecessor; + } + oldto->nins--; + + a->to = newto; + + /* prepend it to new target's in-chain */ + a->inchain = newto->ins; + a->inchainRev = NULL; + if (newto->ins) { + newto->ins->inchainRev = a; + } + newto->ins = a; + newto->nins++; +} /* - hasnonemptyout - Does state have a non-EMPTY out arc? @@ -589,13 +675,181 @@ cparc( { newarc(nfa, oa->type, oa->co, from, to); } + +/* + * sortins - sort the in arcs of a state by from/color/type + */ +static void +sortins( + struct nfa * nfa, + struct state * s) +{ + struct arc **sortarray; + struct arc *a; + int n = s->nins; + int i; + + if (n <= 1) { + return; /* nothing to do */ + } + /* make an array of arc pointers ... */ + sortarray = (struct arc **) MALLOC(n * sizeof(struct arc *)); + if (sortarray == NULL) { + NERR(REG_ESPACE); + return; + } + i = 0; + for (a = s->ins; a != NULL; a = a->inchain) { + sortarray[i++] = a; + } + assert(i == n); + /* ... sort the array */ + qsort(sortarray, n, sizeof(struct arc *), sortins_cmp); + /* ... and rebuild arc list in order */ + /* it seems worth special-casing first and last items to simplify loop */ + a = sortarray[0]; + s->ins = a; + a->inchain = sortarray[1]; + a->inchainRev = NULL; + for (i = 1; i < n - 1; i++) { + a = sortarray[i]; + a->inchain = sortarray[i + 1]; + a->inchainRev = sortarray[i - 1]; + } + a = sortarray[i]; + a->inchain = NULL; + a->inchainRev = sortarray[i - 1]; + FREE(sortarray); +} + +static int +sortins_cmp( + const void *a, + const void *b) +{ + const struct arc *aa = *((const struct arc * const *) a); + const struct arc *bb = *((const struct arc * const *) b); + + /* we check the fields in the order they are most likely to be different */ + if (aa->from->no < bb->from->no) { + return -1; + } + if (aa->from->no > bb->from->no) { + return 1; + } + if (aa->co < bb->co) { + return -1; + } + if (aa->co > bb->co) { + return 1; + } + if (aa->type < bb->type) { + return -1; + } + if (aa->type > bb->type) { + return 1; + } + return 0; +} + +/* + * sortouts - sort the out arcs of a state by to/color/type + */ +static void +sortouts( + struct nfa * nfa, + struct state * s) +{ + struct arc **sortarray; + struct arc *a; + int n = s->nouts; + int i; + + if (n <= 1) { + return; /* nothing to do */ + } + /* make an array of arc pointers ... */ + sortarray = (struct arc **) MALLOC(n * sizeof(struct arc *)); + if (sortarray == NULL) { + NERR(REG_ESPACE); + return; + } + i = 0; + for (a = s->outs; a != NULL; a = a->outchain) { + sortarray[i++] = a; + } + assert(i == n); + /* ... sort the array */ + qsort(sortarray, n, sizeof(struct arc *), sortouts_cmp); + /* ... and rebuild arc list in order */ + /* it seems worth special-casing first and last items to simplify loop */ + a = sortarray[0]; + s->outs = a; + a->outchain = sortarray[1]; + a->outchainRev = NULL; + for (i = 1; i < n - 1; i++) { + a = sortarray[i]; + a->outchain = sortarray[i + 1]; + a->outchainRev = sortarray[i - 1]; + } + a = sortarray[i]; + a->outchain = NULL; + a->outchainRev = sortarray[i - 1]; + FREE(sortarray); +} + +static int +sortouts_cmp( + const void *a, + const void *b) +{ + const struct arc *aa = *((const struct arc * const *) a); + const struct arc *bb = *((const struct arc * const *) b); + + /* we check the fields in the order they are most likely to be different */ + if (aa->to->no < bb->to->no) { + return -1; + } + if (aa->to->no > bb->to->no) { + return 1; + } + if (aa->co < bb->co) { + return -1; + } + if (aa->co > bb->co) { + return 1; + } + if (aa->type < bb->type) { + return -1; + } + if (aa->type > bb->type) { + return 1; + } + return 0; +} + +/* + * Common decision logic about whether to use arc-by-arc operations or + * sort/merge. If there's just a few source arcs we cannot recoup the + * cost of sorting the destination arc list, no matter how large it is. + * Otherwise, limit the number of arc-by-arc comparisons to about 1000 + * (a somewhat arbitrary choice, but the breakeven point would probably + * be machine dependent anyway). + */ +#define BULK_ARC_OP_USE_SORT(nsrcarcs, ndestarcs) \ + ((nsrcarcs) < 4 ? 0 : ((nsrcarcs) > 32 || (ndestarcs) > 32)) /* - moveins - move all in arcs of a state to another state * You might think this could be done better by just updating the - * existing arcs, and you would be right if it weren't for the desire + * existing arcs, and you would be right if it weren't for the need * for duplicate suppression, which makes it easier to just make new * ones to exploit the suppression built into newarc. + * + * However, if we have a whole lot of arcs to deal with, retail duplicate + * checks become too slow. In that case we proceed by sorting and merging + * the arc lists, and then we can indeed just update the arcs in-place. + * ^ static VOID moveins(struct nfa *, struct state *, struct state *); */ static void @@ -604,14 +858,79 @@ moveins( struct state *oldState, struct state *newState) { - struct arc *a; - assert(oldState != newState); - while ((a = oldState->ins) != NULL) { - cparc(nfa, a, a->from, newState); - freearc(nfa, a); + if (!BULK_ARC_OP_USE_SORT(oldState->nins, newState->nins)) { + /* With not too many arcs, just do them one at a time */ + struct arc *a; + + while ((a = oldState->ins) != NULL) { + cparc(nfa, a, a->from, newState); + freearc(nfa, a); + } + } else { + /* + * With many arcs, use a sort-merge approach. Note changearctarget() + * will put the arc onto the front of newState's chain, so it does not + * break our walk through the sorted part of the chain. + */ + struct arc *oa; + struct arc *na; + + /* + * Because we bypass newarc() in this code path, we'd better include a + * cancel check. + */ + if (CANCEL_REQUESTED(nfa->v->re)) { + NERR(REG_CANCEL); + return; + } + + sortins(nfa, oldState); + sortins(nfa, newState); + if (NISERR()) { + return; /* might have failed to sort */ + } + oa = oldState->ins; + na = newState->ins; + while (oa != NULL && na != NULL) { + struct arc *a = oa; + + switch (sortins_cmp(&oa, &na)) { + case -1: + /* newState does not have anything matching oa */ + oa = oa->inchain; + + /* + * Rather than doing createarc+freearc, we can just unlink + * and relink the existing arc struct. + */ + changearctarget(a, newState); + break; + case 0: + /* match, advance in both lists */ + oa = oa->inchain; + na = na->inchain; + /* ... and drop duplicate arc from oldState */ + freearc(nfa, a); + break; + case +1: + /* advance only na; oa might have a match later */ + na = na->inchain; + break; + default: + assert(NOTREACHED); + } + } + while (oa != NULL) { + /* newState does not have anything matching oa */ + struct arc *a = oa; + + oa = oa->inchain; + changearctarget(a, newState); + } } + assert(oldState->nins == 0); assert(oldState->ins == NULL); } @@ -628,14 +947,178 @@ copyins( struct state *newState, int all) { - struct arc *a; - assert(oldState != newState); - for (a=oldState->ins ; a!=NULL ; a=a->inchain) { - if (all || a->type != EMPTY) { - cparc(nfa, a, a->from, newState); + if (!BULK_ARC_OP_USE_SORT(oldState->nins, newState->nins)) { + /* With not too many arcs, just do them one at a time */ + struct arc *a; + + for (a = oldState->ins; a != NULL; a = a->inchain) { + if (all || a->type != EMPTY) { + cparc(nfa, a, a->from, newState); + } + } + } else { + /* + * With many arcs, use a sort-merge approach. Note that createarc() + * will put new arcs onto the front of newState's chain, so it does + * not break our walk through the sorted part of the chain. + */ + struct arc *oa; + struct arc *na; + + /* + * Because we bypass newarc() in this code path, we'd better include a + * cancel check. + */ + if (CANCEL_REQUESTED(nfa->v->re)) { + NERR(REG_CANCEL); + return; } + + sortins(nfa, oldState); + sortins(nfa, newState); + if (NISERR()) { + return; /* might have failed to sort */ + } + oa = oldState->ins; + na = newState->ins; + while (oa != NULL && na != NULL) { + struct arc *a = oa; + + if (!all && a->type == EMPTY) { + oa = oa->inchain; + continue; + } + + switch (sortins_cmp(&oa, &na)) { + case -1: + /* newState does not have anything matching oa */ + oa = oa->inchain; + createarc(nfa, a->type, a->co, a->from, newState); + break; + case 0: + /* match, advance in both lists */ + oa = oa->inchain; + na = na->inchain; + break; + case +1: + /* advance only na; oa might have a match later */ + na = na->inchain; + break; + default: + assert(NOTREACHED); + } + } + while (oa != NULL) { + /* newState does not have anything matching oa */ + struct arc *a = oa; + + if (!all && a->type == EMPTY) { + oa = oa->inchain; + continue; + } + + oa = oa->inchain; + createarc(nfa, a->type, a->co, a->from, newState); + } + } +} + +/* + * mergeins - merge a list of inarcs into a state + * + * This is much like copyins, but the source arcs are listed in an array, + * and are not guaranteed unique. It's okay to clobber the array contents. + */ +static void +mergeins( + struct nfa * nfa, + struct state * s, + struct arc ** arcarray, + int arccount) +{ + struct arc *na; + int i; + int j; + + if (arccount <= 0) { + return; + } + + /* + * Because we bypass newarc() in this code path, we'd better include a + * cancel check. + */ + if (CANCEL_REQUESTED(nfa->v->re)) { + NERR(REG_CANCEL); + return; + } + + /* Sort existing inarcs as well as proposed new ones */ + sortins(nfa, s); + if (NISERR()) { + return; /* might have failed to sort */ + } + + qsort(arcarray, arccount, sizeof(struct arc *), sortins_cmp); + + /* + * arcarray very likely includes dups, so we must eliminate them. (This + * could be folded into the next loop, but it's not worth the trouble.) + */ + j = 0; + for (i = 1; i < arccount; i++) { + switch (sortins_cmp(&arcarray[j], &arcarray[i])) { + case -1: + /* non-dup */ + arcarray[++j] = arcarray[i]; + break; + case 0: + /* dup */ + break; + default: + /* trouble */ + assert(NOTREACHED); + } + } + arccount = j + 1; + + /* + * Now merge into s' inchain. Note that createarc() will put new arcs + * onto the front of s's chain, so it does not break our walk through the + * sorted part of the chain. + */ + i = 0; + na = s->ins; + while (i < arccount && na != NULL) { + struct arc *a = arcarray[i]; + + switch (sortins_cmp(&a, &na)) { + case -1: + /* s does not have anything matching a */ + createarc(nfa, a->type, a->co, a->from, s); + i++; + break; + case 0: + /* match, advance in both lists */ + i++; + na = na->inchain; + break; + case +1: + /* advance only na; array might have a match later */ + na = na->inchain; + break; + default: + assert(NOTREACHED); + } + } + while (i < arccount) { + /* s does not have anything matching a */ + struct arc *a = arcarray[i]; + + createarc(nfa, a->type, a->co, a->from, s); + i++; } } @@ -649,14 +1132,78 @@ moveouts( struct state *oldState, struct state *newState) { - struct arc *a; - assert(oldState != newState); - while ((a = oldState->outs) != NULL) { - cparc(nfa, a, newState, a->to); - freearc(nfa, a); + if (!BULK_ARC_OP_USE_SORT(oldState->nouts, newState->nouts)) { + /* With not too many arcs, just do them one at a time */ + struct arc *a; + + while ((a = oldState->outs) != NULL) { + cparc(nfa, a, newState, a->to); + freearc(nfa, a); + } + } else { + /* + * With many arcs, use a sort-merge approach. Note that createarc() + * will put new arcs onto the front of newState's chain, so it does + * not break our walk through the sorted part of the chain. + */ + struct arc *oa; + struct arc *na; + + /* + * Because we bypass newarc() in this code path, we'd better include a + * cancel check. + */ + if (CANCEL_REQUESTED(nfa->v->re)) { + NERR(REG_CANCEL); + return; + } + + sortouts(nfa, oldState); + sortouts(nfa, newState); + if (NISERR()) { + return; /* might have failed to sort */ + } + oa = oldState->outs; + na = newState->outs; + while (oa != NULL && na != NULL) { + struct arc *a = oa; + + switch (sortouts_cmp(&oa, &na)) { + case -1: + /* newState does not have anything matching oa */ + oa = oa->outchain; + createarc(nfa, a->type, a->co, newState, a->to); + freearc(nfa, a); + break; + case 0: + /* match, advance in both lists */ + oa = oa->outchain; + na = na->outchain; + /* ... and drop duplicate arc from oldState */ + freearc(nfa, a); + break; + case +1: + /* advance only na; oa might have a match later */ + na = na->outchain; + break; + default: + assert(NOTREACHED); + } + } + while (oa != NULL) { + /* newState does not have anything matching oa */ + struct arc *a = oa; + + oa = oa->outchain; + createarc(nfa, a->type, a->co, newState, a->to); + freearc(nfa, a); + } } + + assert(oldState->nouts == 0); + assert(oldState->outs == NULL); } /* @@ -671,13 +1218,80 @@ copyouts( struct state *newState, int all) { - struct arc *a; - assert(oldState != newState); - for (a=oldState->outs ; a!=NULL ; a=a->outchain) { - if (all || a->type != EMPTY) { - cparc(nfa, a, newState, a->to); + if (!BULK_ARC_OP_USE_SORT(oldState->nouts, newState->nouts)) { + /* With not too many arcs, just do them one at a time */ + struct arc *a; + + for (a = oldState->outs; a != NULL; a = a->outchain) { + if (all || a->type != EMPTY) { + cparc(nfa, a, newState, a->to); + } + } + } else { + /* + * With many arcs, use a sort-merge approach. Note that createarc() + * will put new arcs onto the front of newState's chain, so it does + * not break our walk through the sorted part of the chain. + */ + struct arc *oa; + struct arc *na; + + /* + * Because we bypass newarc() in this code path, we'd better include a + * cancel check. + */ + if (CANCEL_REQUESTED(nfa->v->re)) { + NERR(REG_CANCEL); + return; + } + + sortouts(nfa, oldState); + sortouts(nfa, newState); + if (NISERR()) { + return; /* might have failed to sort */ + } + oa = oldState->outs; + na = newState->outs; + while (oa != NULL && na != NULL) { + struct arc *a = oa; + + if (!all && a->type == EMPTY) { + oa = oa->outchain; + continue; + } + + switch (sortouts_cmp(&oa, &na)) { + case -1: + /* newState does not have anything matching oa */ + oa = oa->outchain; + createarc(nfa, a->type, a->co, newState, a->to); + break; + case 0: + /* match, advance in both lists */ + oa = oa->outchain; + na = na->outchain; + break; + case +1: + /* advance only na; oa might have a match later */ + na = na->outchain; + break; + default: + assert(NOTREACHED); + } + } + while (oa != NULL) { + /* newState does not have anything matching oa */ + struct arc *a = oa; + + if (!all && a->type == EMPTY){ + oa = oa->outchain; + continue; + } + + oa = oa->outchain; + createarc(nfa, a->type, a->co, newState, a->to); } } } @@ -2238,7 +2852,7 @@ compact( break; } } - carcsort(first, ca-1); + carcsort(first, ca - first); ca->co = COLORLESS; ca->to = 0; ca++; @@ -2258,33 +2872,39 @@ compact( /* - carcsort - sort compacted-NFA arcs by color - * Really dumb algorithm, but if the list is long enough for that to matter, - * you're in real trouble anyway. ^ static VOID carcsort(struct carc *, struct carc *); */ static void carcsort( struct carc *first, - struct carc *last) + size_t n) { - struct carc *p; - struct carc *q; - struct carc tmp; - - if (last - first <= 1) { - return; + if (n > 1) { + qsort(first, n, sizeof(struct carc), carc_cmp); } +} - for (p = first; p <= last; p++) { - for (q = p; q <= last; q++) { - if (p->co > q->co || (p->co == q->co && p->to > q->to)) { - assert(p != q); - tmp = *p; - *p = *q; - *q = tmp; - } - } +static int +carc_cmp( + const void *a, + const void *b) +{ + const struct carc *aa = (const struct carc *) a; + const struct carc *bb = (const struct carc *) b; + + if (aa->co < bb->co) { + return -1; + } + if (aa->co > bb->co) { + return +1; + } + if (aa->to < bb->to) { + return -1; } + if (aa->to > bb->to) { + return +1; + } + return 0; } /* @@ -2382,37 +3002,28 @@ dumparcs( FILE *f) { int pos; + struct arc *a; - assert(s->nouts > 0); - /* printing arcs in reverse order is usually clearer */ - pos = dumprarcs(s->outs, s, f, 1); - if (pos != 1) { - fprintf(f, "\n"); - } -} - -/* - - dumprarcs - dump remaining outarcs, recursively, in reverse order - ^ static int dumprarcs(struct arc *, struct state *, FILE *, int); - */ -static int /* resulting print position */ -dumprarcs( - struct arc *a, - struct state *s, - FILE *f, - int pos) /* initial print position */ -{ - if (a->outchain != NULL) { - pos = dumprarcs(a->outchain, s, f, pos); + /* printing oldest arcs first is usually clearer */ + a = s->outs; + assert(a != NULL); + while (a->outchain != NULL) { + a = a->outchain; } - dumparc(a, s, f); - if (pos == 5) { + pos = 1; + do { + dumparc(a, s, f); + if (pos == 5) { + fprintf(f, "\n"); + pos = 1; + } else { + pos++; + } + a = a->outchainRev; + } while (a != NULL); + if (pos != 1) { fprintf(f, "\n"); - pos = 1; - } else { - pos++; } - return pos; } /* diff --git a/generic/regcomp.c b/generic/regcomp.c index 27bb736..b01311b 100644 --- a/generic/regcomp.c +++ b/generic/regcomp.c @@ -119,15 +119,22 @@ static void dropstate(struct nfa *, struct state *); static void freestate(struct nfa *, struct state *); static void destroystate(struct nfa *, struct state *); static void newarc(struct nfa *, int, pcolor, struct state *, struct state *); +static void createarc(struct nfa *, int, pcolor, struct state *, struct state *); static struct arc *allocarc(struct nfa *, struct state *); static void freearc(struct nfa *, struct arc *); +static void changearctarget(struct arc *, struct state *); static int hasnonemptyout(struct state *); static int nonemptyouts(struct state *); static int nonemptyins(struct state *); static struct arc *findarc(struct state *, int, pcolor); static void cparc(struct nfa *, struct arc *, struct state *, struct state *); +static void sortins(struct nfa *, struct state *); +static int sortins_cmp(const void *, const void *); +static void sortouts(struct nfa *, struct state *); +static int sortouts_cmp(const void *, const void *); static void moveins(struct nfa *, struct state *, struct state *); static void copyins(struct nfa *, struct state *, struct state *, int); +static void mergeins(struct nfa *, struct state *, struct arc **, int); static void moveouts(struct nfa *, struct state *, struct state *); static void copyouts(struct nfa *, struct state *, struct state *, int); static void cloneouts(struct nfa *, struct state *, struct state *, struct state *, int); @@ -161,7 +168,8 @@ static void markreachable(struct nfa *, struct state *, struct state *, struct s static void markcanreach(struct nfa *, struct state *, struct state *, struct state *); static long analyze(struct nfa *); static void compact(struct nfa *, struct cnfa *); -static void carcsort(struct carc *, struct carc *); +static void carcsort(struct carc *, size_t); +static int carc_cmp(const void *, const void *); static void freecnfa(struct cnfa *); static void dumpnfa(struct nfa *, FILE *); #ifdef REG_DEBUG diff --git a/generic/regguts.h b/generic/regguts.h index ac625d5..7ed8ec1 100644 --- a/generic/regguts.h +++ b/generic/regguts.h @@ -265,8 +265,10 @@ struct arc { struct state *from; /* where it's from (and contained within) */ struct state *to; /* where it's to */ struct arc *outchain; /* *from's outs chain or free chain */ -#define freechain outchain + struct arc *outchainRev; /* back-link in *from's outs chain */ +#define freechain outchain /* we do not maintain "freechainRev" */ struct arc *inchain; /* *to's ins chain */ + struct arc *inchainRev; /* back-link in *to's ins chain */ struct arc *colorchain; /* color's arc chain */ struct arc *colorchainRev; /* back-link in color's arc chain */ }; -- cgit v0.12 From f12c713f8e323f0c7872d83c93b2371c7eb42365 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 20 Oct 2015 18:32:25 +0000 Subject: Adaptation of re-better-fixempties.patch from Tom Lane @ postgres. --- generic/regc_nfa.c | 265 +++++++++++++++++++++++++++-------------------------- generic/regcomp.c | 6 +- 2 files changed, 136 insertions(+), 135 deletions(-) diff --git a/generic/regc_nfa.c b/generic/regc_nfa.c index 0f572b8..5582e4e 100644 --- a/generic/regc_nfa.c +++ b/generic/regc_nfa.c @@ -603,44 +603,6 @@ hasnonemptyout( } /* - - nonemptyouts - count non-EMPTY out arcs of a state - ^ static int nonemptyouts(struct state *); - */ -static int -nonemptyouts( - struct state *s) -{ - int n = 0; - struct arc *a; - - for (a = s->outs; a != NULL; a = a->outchain) { - if (a->type != EMPTY) { - n++; - } - } - return n; -} - -/* - - nonemptyins - count non-EMPTY in arcs of a state - ^ static int nonemptyins(struct state *); - */ -static int -nonemptyins( - struct state *s) -{ - int n = 0; - struct arc *a; - - for (a = s->ins; a != NULL; a = a->inchain) { - if (a->type != EMPTY) { - n++; - } - } - return n; -} - -/* - findarc - find arc, if any, from given source with given type and color * If there is more than one such arc, the result is random. ^ static struct arc *findarc(struct state *, int, pcolor); @@ -1897,6 +1859,12 @@ fixempties( struct state *nexts; struct arc *a; struct arc *nexta; + int totalinarcs; + struct arc **inarcsorig; + struct arc **arcarray; + int arccount; + int prevnins; + int nskip; /* * First, get rid of any states whose sole out-arc is an EMPTY, @@ -1942,42 +1910,129 @@ fixempties( dropstate(nfa, s); } + if (NISERR()) { + return; + } + /* - * For each remaining NFA state, find all other states that are - * reachable from it by a chain of one or more EMPTY arcs. Then - * generate new arcs that eliminate the need for each such chain. + * For each remaining NFA state, find all other states from which it is + * reachable by a chain of one or more EMPTY arcs. Then generate new arcs + * that eliminate the need for each such chain. + * + * We could replace a chain of EMPTY arcs that leads from a "from" state + * to a "to" state either by pushing non-EMPTY arcs forward (linking + * directly from "from"'s predecessors to "to") or by pulling them back + * (linking directly from "from" to "to"'s successors). We choose to + * always do the former; this choice is somewhat arbitrary, but the + * approach below requires that we uniformly do one or the other. + * + * Suppose we have a chain of N successive EMPTY arcs (where N can easily + * approach the size of the NFA). All of the intermediate states must + * have additional inarcs and outarcs, else they'd have been removed by + * the steps above. Assuming their inarcs are mostly not empties, we will + * add O(N^2) arcs to the NFA, since a non-EMPTY inarc leading to any one + * state in the chain must be duplicated to lead to all its successor + * states as well. So there is no hope of doing less than O(N^2) work; + * however, we should endeavor to keep the big-O cost from being even + * worse than that, which it can easily become without care. In + * particular, suppose we were to copy all S1's inarcs forward to S2, and + * then also to S3, and then later we consider pushing S2's inarcs forward + * to S3. If we include the arcs already copied from S1 in that, we'd be + * doing O(N^3) work. (The duplicate-arc elimination built into newarc() + * and its cohorts would get rid of the extra arcs, but not without cost.) + * + * We can avoid this cost by treating only arcs that existed at the start + * of this phase as candidates to be pushed forward. To identify those, + * we remember the first inarc each state had to start with. We rely on + * the fact that newarc() and friends put new arcs on the front of their + * to-states' inchains, and that this phase never deletes arcs, so that + * the original arcs must be the last arcs in their to-states' inchains. + * + * So the process here is that, for each state in the NFA, we gather up + * all non-EMPTY inarcs of states that can reach the target state via + * EMPTY arcs. We then sort, de-duplicate, and merge these arcs into the + * target state's inchain. (We can safely use sort-merge for this as long + * as we update each state's original-arcs pointer after we add arcs to + * it; the sort step of mergeins probably changed the order of the old + * arcs.) * - * If we just do this straightforwardly, the algorithm gets slow in - * complex graphs, because the same arcs get copied to all - * intermediate states of an EMPTY chain, and then uselessly pushed - * repeatedly to the chain's final state; we waste a lot of time in - * newarc's duplicate checking. To improve matters, we decree that - * any state with only EMPTY out-arcs is "doomed" and will not be - * part of the final NFA. That can be ensured by not adding any new - * out-arcs to such a state. Having ensured that, we need not update - * the state's in-arcs list either; all arcs that might have gotten - * pushed forward to it will just get pushed directly to successor - * states. This eliminates most of the useless duplicate arcs. + * Another refinement worth making is that, because we only add non-EMPTY + * arcs during this phase, and all added arcs have the same from-state as + * the non-EMPTY arc they were cloned from, we know ahead of time that any + * states having only EMPTY outarcs will be useless for lack of outarcs + * after we drop the EMPTY arcs. (They cannot gain non-EMPTY outarcs if + * they had none to start with.) So we need not bother to update the + * inchains of such states at all. */ + + /* Remember the states' first original inarcs */ + /* ... and while at it, count how many old inarcs there are altogether */ + inarcsorig = (struct arc **) MALLOC(nfa->nstates * sizeof(struct arc *)); + if (inarcsorig == NULL) { + NERR(REG_ESPACE); + return; + } + totalinarcs = 0; + for (s = nfa->states; s != NULL; s = s->next) { + inarcsorig[s->no] = s->ins; + totalinarcs += s->nins; + } + + /* + * Create a workspace for accumulating the inarcs to be added to the + * current target state. totalinarcs is probably a considerable + * overestimate of the space needed, but the NFA is unlikely to be large + * enough at this point to make it worth being smarter. + */ + arcarray = (struct arc **) MALLOC(totalinarcs * sizeof(struct arc *)); + if (arcarray == NULL) { + NERR(REG_ESPACE); + FREE(inarcsorig); + return; + } + + /* And iterate over the target states */ for (s = nfa->states; s != NULL && !NISERR(); s = s->next) { - for (s2 = emptyreachable(s, s); s2 != s && !NISERR(); - s2 = nexts) { - /* - * If s2 is doomed, we decide that (1) we will always push - * arcs forward to it, not pull them back to s; and (2) we - * can optimize away the push-forward, per comment above. - * So do nothing. - */ - if (s2->flag || hasnonemptyout(s2)) { - replaceempty(nfa, s, s2); + /* Ignore target states without non-EMPTY outarcs, per note above */ + if (!s->flag && !hasnonemptyout(s)) { + continue; + } + + /* Find predecessor states and accumulate their original inarcs */ + arccount = 0; + for (s2 = emptyreachable(nfa, s, s, inarcsorig); s2 != s; s2 = nexts) { + /* Add s2's original inarcs to arcarray[], but ignore empties */ + for (a = inarcsorig[s2->no]; a != NULL; a = a->inchain) { + if (a->type != EMPTY) { + arcarray[arccount++] = a; + } } + + /* Reset the tmp fields as we walk back */ + nexts = s2->tmp; + s2->tmp = NULL; + } + s->tmp = NULL; + assert(arccount <= totalinarcs); - /* Reset the tmp fields as we walk back */ - nexts = s2->tmp; - s2->tmp = NULL; + /* Remember how many original inarcs this state has */ + prevnins = s->nins; + + /* Add non-duplicate inarcs to target state */ + mergeins(nfa, s, arcarray, arccount); + + /* Now we must update the state's inarcsorig pointer */ + nskip = s->nins - prevnins; + a = s->ins; + while (nskip-- > 0) { + a = a->inchain; } - s->tmp = NULL; + inarcsorig[s->no] = a; } + + FREE(arcarray); + FREE(inarcsorig); + if (NISERR()) { return; } @@ -2013,90 +2068,38 @@ fixempties( } /* - - emptyreachable - recursively find all states reachable from s by EMPTY arcs + - emptyreachable - recursively find all states that can reach s by EMPTY arcs * The return value is the last such state found. Its tmp field links back * to the next-to-last such state, and so on back to s, so that all these * states can be located without searching the whole NFA. + * + * Since this is only used in fixempties(), we pass in the inarcsorig[] array + * maintained by that function. This lets us skip over all new inarcs, which + * are certainly not EMPTY arcs. + * * The maximum recursion depth here is equal to the length of the longest * loop-free chain of EMPTY arcs, which is surely no more than the size of - * the NFA, and in practice will be a lot less than that. + * the NFA, and in practice will be less than that. ^ static struct state *emptyreachable(struct state *, struct state *); */ static struct state * emptyreachable( + struct nfa *nfa, struct state *s, - struct state *lastfound) + struct state *lastfound, + struct arc **inarcsorig) { struct arc *a; s->tmp = lastfound; lastfound = s; - for (a = s->outs; a != NULL; a = a->outchain) { - if (a->type == EMPTY && a->to->tmp == NULL) { - lastfound = emptyreachable(a->to, lastfound); + for (a = inarcsorig[s->no]; a != NULL; a = a->inchain) { + if (a->type == EMPTY && a->from->tmp == NULL) { + lastfound = emptyreachable(nfa, a->from, lastfound, inarcsorig); } } return lastfound; } - -/* - - replaceempty - replace an EMPTY arc chain with some non-empty arcs - * The EMPTY arc(s) should be deleted later, but we can't do it here because - * they may still be needed to identify other arc chains during fixempties(). - ^ static void replaceempty(struct nfa *, struct state *, struct state *); - */ -static void -replaceempty( - struct nfa *nfa, - struct state *from, - struct state *to) -{ - int fromouts; - int toins; - - assert(from != to); - - /* - * Create replacement arcs that bypass the need for the EMPTY chain. We - * can do this either by pushing arcs forward (linking directly from - * "from"'s predecessors to "to") or by pulling them back (linking - * directly from "from" to "to"'s successors). In general, we choose - * whichever way creates greater fan-out or fan-in, so as to improve the - * odds of reducing the other state to zero in-arcs or out-arcs and - * thereby being able to delete it. However, if "from" is doomed (has no - * non-EMPTY out-arcs), we must keep it so, so always push forward in that - * case. - * - * The fan-out/fan-in comparison should count only non-EMPTY arcs. If - * "from" is doomed, we can skip counting "to"'s arcs, since we want to - * force taking the copynonemptyins path in that case. - */ - fromouts = nonemptyouts(from); - toins = (fromouts == 0) ? 1 : nonemptyins(to); - - if (fromouts > toins) { - copyouts(nfa, to, from, 0); - return; - } - if (fromouts < toins) { - copyins(nfa, from, to, 0); - return; - } - - /* - * fromouts == toins. Decide on secondary issue: copy fewest arcs. - * - * Doesn't seem to be worth the trouble to exclude empties from these - * comparisons; that takes extra time and doesn't seem to improve the - * resulting graph much. - */ - if (from->nins > to->nouts) { - copyouts(nfa, to, from, 0); - return; - } - - copyins(nfa, from, to, 0); -} /* * isconstraintarc - detect whether an arc is of a constraint type diff --git a/generic/regcomp.c b/generic/regcomp.c index b01311b..985cb93 100644 --- a/generic/regcomp.c +++ b/generic/regcomp.c @@ -124,8 +124,6 @@ static struct arc *allocarc(struct nfa *, struct state *); static void freearc(struct nfa *, struct arc *); static void changearctarget(struct arc *, struct state *); static int hasnonemptyout(struct state *); -static int nonemptyouts(struct state *); -static int nonemptyins(struct state *); static struct arc *findarc(struct state *, int, pcolor); static void cparc(struct nfa *, struct arc *, struct state *, struct state *); static void sortins(struct nfa *, struct state *); @@ -154,8 +152,8 @@ static int push(struct nfa *, struct arc *); #define COMPATIBLE 3 /* compatible but not satisfied yet */ static int combine(struct arc *, struct arc *); static void fixempties(struct nfa *, FILE *); -static struct state *emptyreachable(struct state *, struct state *); -static void replaceempty(struct nfa *, struct state *, struct state *); +static struct state *emptyreachable(struct nfa *, struct state *, + struct state *, struct arc **); static int isconstraintarc(struct arc *); static int hasconstraintout(struct state *); static void fixconstraintloops(struct nfa *, FILE *); -- cgit v0.12 From 5ec3b6491d71b85b55f8927e78f033e75c92170f Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 20 Oct 2015 19:21:53 +0000 Subject: Adaptation of re-better-pushpull.patch from Tom Lane @postgres --- generic/regc_nfa.c | 155 ++++++++++++++++++++++++++++++++++++++++------------- generic/regcomp.c | 4 +- 2 files changed, 119 insertions(+), 40 deletions(-) diff --git a/generic/regc_nfa.c b/generic/regc_nfa.c index 5582e4e..bbc4dd6 100644 --- a/generic/regc_nfa.c +++ b/generic/regc_nfa.c @@ -1518,6 +1518,7 @@ pullback( struct state *nexts; struct arc *a; struct arc *nexta; + struct state *intermediates; int progress; /* @@ -1528,15 +1529,27 @@ pullback( progress = 0; for (s=nfa->states ; s!=NULL && !NISERR() ; s=nexts) { nexts = s->next; + intermediates = NULL; for (a=s->outs ; a!=NULL && !NISERR() ; a=nexta) { nexta = a->outchain; if (a->type == '^' || a->type == BEHIND) { - if (pull(nfa, a)) { + if (pull(nfa, a, &intermediates)) { progress = 1; } } assert(nexta == NULL || s->no != FREESTATE); } + /* clear tmp fields of intermediate states created here */ + while (intermediates != NULL) { + struct state *ns = intermediates->tmp; + + intermediates->tmp = NULL; + intermediates = ns; + } + /* if s is now useless, get rid of it */ + if ((s->nins == 0 || s->nouts == 0) && !s->flag) { + dropstate(nfa, s); + } } if (progress && f != NULL) { dumpnfa(nfa, f); @@ -1564,15 +1577,28 @@ pullback( /* - pull - pull a back constraint backward past its source state - * A significant property of this function is that it deletes at most - * one state -- the constraint's from state -- and only if the constraint - * was that state's last outarc. + * + * Returns 1 if successful (which it always is unless the source is the + * start state or we have an internal error), 0 if nothing happened. + * + * A significant property of this function is that it deletes no pre-existing + * states, and no outarcs of the constraint's from state other than the given + * constraint arc. This makes the loops in pullback() safe, at the cost that + * we may leave useless states behind. Therefore, we leave it to pullback() + * to delete such states. + * + * If the from state has multiple back-constraint outarcs, and/or multiple + * compatible constraint inarcs, we only need to create one new intermediate + * state per combination of predecessor and successor states. *intermediates + * points to a list of such intermediate states for this from state (chained + * through their tmp fields). ^ static int pull(struct nfa *, struct arc *); */ -static int /* 0 couldn't, 1 could */ +static int pull( struct nfa *nfa, - struct arc *con) + struct arc *con, + struct state **intermediates) { struct state *from = con->from; struct state *to = con->to; @@ -1590,7 +1616,9 @@ pull( } /* - * First, clone from state if necessary to avoid other outarcs. + * First, clone from state if necessary to avoid other outarcs. This may + * seem wasteful, but it simplifies the logic, and we'll get rid of the + * clone state again at the bottom. */ if (from->nouts > 1) { @@ -1601,6 +1629,9 @@ pull( copyins(nfa, from, s, 1); /* duplicate inarcs */ cparc(nfa, con, s, to); /* move constraint arc */ freearc(nfa, con); + if (NISERR()) { + return 0; + } from = s; con = from->outs; } @@ -1610,7 +1641,7 @@ pull( * Propagate the constraint into the from state's inarcs. */ - for (a=from->ins ; a!=NULL ; a=nexta) { + for (a=from->ins ; a!=NULL && !NISERR(); a=nexta) { nexta = a->inchain; switch (combine(con, a)) { case INCOMPATIBLE: /* destroy the arc */ @@ -1619,17 +1650,25 @@ pull( case SATISFIED: /* no action needed */ break; case COMPATIBLE: /* swap the two arcs, more or less */ - s = newstate(nfa); - if (NISERR()) { - return 0; + /* need an intermediate state, but might have one already */ + for (s = *intermediates; s != NULL; s = s->tmp) { + assert(s->nins > 0 && s->nouts > 0); + if (s->ins->from == a->from && s->outs->to == to) { + break; + } } - cparc(nfa, a, s, to); /* anticipate move */ - cparc(nfa, con, a->from, s); - if (NISERR()) { - return 0; + if (s == NULL) { + s = newstate(nfa); + if (NISERR()) { + return 0; + } + s->tmp = *intermediates; + *intermediates = s; } - freearc(nfa, a); - break; + cparc(nfa, con, a->from, s); + cparc(nfa, a, s, to); + freearc(nfa, a); + break; default: assert(NOTREACHED); break; @@ -1641,7 +1680,8 @@ pull( */ moveins(nfa, from, to); - dropstate(nfa, from); /* will free the constraint */ + freearc(nfa, con); + /* from state is now useless, but we leave it to pullback() to clean up */ return 1; } @@ -1658,6 +1698,7 @@ pushfwd( struct state *nexts; struct arc *a; struct arc *nexta; + struct state *intermediates; int progress; /* @@ -1668,14 +1709,25 @@ pushfwd( progress = 0; for (s=nfa->states ; s!=NULL && !NISERR() ; s=nexts) { nexts = s->next; + intermediates = NULL; for (a = s->ins; a != NULL && !NISERR(); a = nexta) { nexta = a->inchain; if (a->type == '$' || a->type == AHEAD) { - if (push(nfa, a)) { + if (push(nfa, a, &intermediates)) { progress = 1; } } - assert(nexta == NULL || s->no != FREESTATE); + } + /* clear tmp fields of intermediate states created here */ + while (intermediates != NULL) { + struct state *ns = intermediates->tmp; + + intermediates->tmp = NULL; + intermediates = ns; + } + /* if s is now useless, get rid of it */ + if ((s->nins == 0 || s->nouts == 0) && !s->flag) { + dropstate(nfa, s); } } if (progress && f != NULL) { @@ -1704,15 +1756,28 @@ pushfwd( /* - push - push a forward constraint forward past its destination state - * A significant property of this function is that it deletes at most - * one state -- the constraint's to state -- and only if the constraint - * was that state's last inarc. + * + * Returns 1 if successful (which it always is unless the destination is the + * post state or we have an internal error), 0 if nothing happened. + * + * A significant property of this function is that it deletes no pre-existing + * states, and no inarcs of the constraint's to state other than the given + * constraint arc. This makes the loops in pushfwd() safe, at the cost that + * we may leave useless states behind. Therefore, we leave it to pushfwd() + * to delete such states. + * + * If the to state has multiple forward-constraint inarcs, and/or multiple + * compatible constraint outarcs, we only need to create one new intermediate + * state per combination of predecessor and successor states. *intermediates + * points to a list of such intermediate states for this to state (chained + * through their tmp fields). ^ static int push(struct nfa *, struct arc *); */ -static int /* 0 couldn't, 1 could */ +static int push( struct nfa *nfa, - struct arc *con) + struct arc *con, + struct state **intermediates) { struct state *from = con->from; struct state *to = con->to; @@ -1730,7 +1795,9 @@ push( } /* - * First, clone to state if necessary to avoid other inarcs. + * First, clone to state if necessary to avoid other inarcs. This may + * seem wasteful, but it simplifies the logic, and we'll get rid of the + * clone state again at the bottom. */ if (to->nins > 1) { @@ -1739,8 +1806,11 @@ push( return 0; } copyouts(nfa, to, s, 1); /* duplicate outarcs */ - cparc(nfa, con, from, s); /* move constraint */ + cparc(nfa, con, from, s); /* move constraint arc */ freearc(nfa, con); + if (NISERR()) { + return 0; + } to = s; con = to->ins; } @@ -1750,7 +1820,7 @@ push( * Propagate the constraint into the to state's outarcs. */ - for (a = to->outs; a != NULL; a = nexta) { + for (a = to->outs; a != NULL && !NISERR(); a = nexta) { nexta = a->outchain; switch (combine(con, a)) { case INCOMPATIBLE: /* destroy the arc */ @@ -1759,17 +1829,25 @@ push( case SATISFIED: /* no action needed */ break; case COMPATIBLE: /* swap the two arcs, more or less */ - s = newstate(nfa); - if (NISERR()) { - return 0; + /* need an intermediate state, but might have one already */ + for (s = *intermediates; s != NULL; s = s->tmp) { + assert(s->nins > 0 && s->nouts > 0); + if (s->ins->from == from && s->outs->to == a->to) { + break; + } } - cparc(nfa, con, s, a->to); /* anticipate move */ - cparc(nfa, a, from, s); - if (NISERR()) { - return 0; + if (s == NULL) { + s = newstate(nfa); + if (NISERR()) { + return 0; + } + s->tmp = *intermediates; + *intermediates = s; } - freearc(nfa, a); - break; + cparc(nfa, con, s, a->to); + cparc(nfa, a, from, s); + freearc(nfa, a); + break; default: assert(NOTREACHED); break; @@ -1781,7 +1859,8 @@ push( */ moveouts(nfa, to, from); - dropstate(nfa, to); /* will free the constraint */ + freearc(nfa, con); + /* to state is now useless, but we leave it to pushfwd() to clean up */ return 1; } diff --git a/generic/regcomp.c b/generic/regcomp.c index 985cb93..6b40100 100644 --- a/generic/regcomp.c +++ b/generic/regcomp.c @@ -144,9 +144,9 @@ static void cleartraverse(struct nfa *, struct state *); static void specialcolors(struct nfa *); static long optimize(struct nfa *, FILE *); static void pullback(struct nfa *, FILE *); -static int pull(struct nfa *, struct arc *); +static int pull(struct nfa *, struct arc *, struct state **); static void pushfwd(struct nfa *, FILE *); -static int push(struct nfa *, struct arc *); +static int push(struct nfa *, struct arc *, struct state **); #define INCOMPATIBLE 1 /* destroys arc */ #define SATISFIED 2 /* constraint satisfied */ #define COMPATIBLE 3 /* compatible but not satisfied yet */ -- cgit v0.12 From 75ed02d88822dad90ad256551f2df875aa884975 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 20 Oct 2015 19:53:03 +0000 Subject: Adaptation of re-memaccounting.patch from Tom Lane @postgres. --- generic/regc_nfa.c | 84 +++++++++--------------------------------------------- generic/regcomp.c | 2 ++ generic/regerrs.h | 2 +- generic/regex.h | 2 +- generic/regguts.h | 16 ++++++----- tests/regexp.test | 2 +- 6 files changed, 28 insertions(+), 80 deletions(-) diff --git a/generic/regc_nfa.c b/generic/regc_nfa.c index bbc4dd6..5568bff 100644 --- a/generic/regc_nfa.c +++ b/generic/regc_nfa.c @@ -62,7 +62,6 @@ newnfa( nfa->nstates = 0; nfa->cm = cm; nfa->v = v; - nfa->size = 0; nfa->bos[0] = nfa->bos[1] = COLORLESS; nfa->eos[0] = nfa->eos[1] = COLORLESS; nfa->parent = parent; /* Precedes newfstate so parent is valid. */ @@ -90,61 +89,6 @@ newnfa( } /* - - TooManyStates - checks if the max states exceeds the compile-time value - ^ static int TooManyStates(struct nfa *); - */ -static int -TooManyStates( - struct nfa *nfa) -{ - struct nfa *parent = nfa->parent; - size_t sz = nfa->size; - - while (parent != NULL) { - sz = parent->size; - parent = parent->parent; - } - if (sz > REG_MAX_STATES) { - return 1; - } - return 0; -} - -/* - - IncrementSize - increases the tracked size of the NFA and its parents. - ^ static void IncrementSize(struct nfa *); - */ -static void -IncrementSize( - struct nfa *nfa) -{ - struct nfa *parent = nfa->parent; - - nfa->size++; - while (parent != NULL) { - parent->size++; - parent = parent->parent; - } -} - -/* - - DecrementSize - increases the tracked size of the NFA and its parents. - ^ static void DecrementSize(struct nfa *); - */ -static void -DecrementSize( - struct nfa *nfa) -{ - struct nfa *parent = nfa->parent; - - nfa->size--; - while (parent != NULL) { - parent->size--; - parent = parent->parent; - } -} - -/* - freenfa - free an entire NFA ^ static VOID freenfa(struct nfa *); */ @@ -180,20 +124,20 @@ newstate( { struct state *s; - if (TooManyStates(nfa)) { - /* XXX: add specific error for this */ - NERR(REG_ETOOBIG); - return NULL; - } if (nfa->free != NULL) { s = nfa->free; nfa->free = s->next; } else { + if (nfa->v->spaceused >= REG_MAX_COMPILE_SPACE) { + NERR(REG_ETOOBIG); + return NULL; + } s = (struct state *) MALLOC(sizeof(struct state)); if (s == NULL) { NERR(REG_ESPACE); return NULL; } + nfa->v->spaceused += sizeof(struct state); s->oas.next = NULL; s->free = NULL; s->noas = 0; @@ -217,12 +161,6 @@ newstate( } s->prev = nfa->slast; nfa->slast = s; - - /* - * Track the current size and the parent size. - */ - - IncrementSize(nfa); return s; } @@ -293,7 +231,6 @@ freestate( s->prev = NULL; s->next = nfa->free; /* don't delete it, put it on the free list */ nfa->free = s; - DecrementSize(nfa); } /* @@ -312,11 +249,13 @@ destroystate( for (ab=s->oas.next ; ab!=NULL ; ab=abnext) { abnext = ab->next; FREE(ab); + nfa->v->spaceused -= sizeof(struct arcbatch); } s->ins = NULL; s->outs = NULL; s->next = NULL; FREE(s); + nfa->v->spaceused -= sizeof(struct state); } /* @@ -439,14 +378,19 @@ allocarc( */ if (s->free == NULL) { - struct arcbatch *newAb = (struct arcbatch *) - MALLOC(sizeof(struct arcbatch)); + struct arcbatch *newAb; int i; + if (nfa->v->spaceused >= REG_MAX_COMPILE_SPACE) { + NERR(REG_ETOOBIG); + return NULL; + } + newAb = (struct arcbatch *) MALLOC(sizeof(struct arcbatch)); if (newAb == NULL) { NERR(REG_ESPACE); return NULL; } + nfa->v->spaceused += sizeof(struct arcbatch); newAb->next = s->oas.next; s->oas.next = newAb; diff --git a/generic/regcomp.c b/generic/regcomp.c index 6b40100..3c91962 100644 --- a/generic/regcomp.c +++ b/generic/regcomp.c @@ -228,6 +228,7 @@ struct vars { struct cvec *cv2; /* utility cvec */ struct subre *lacons; /* lookahead-constraint vector */ int nlacons; /* size of lacons */ + size_t spaceused; /* approx. space used for compilation */ }; /* parsing macros; most know that `v' is the struct vars pointer */ @@ -337,6 +338,7 @@ compile( v->cv2 = NULL; v->lacons = NULL; v->nlacons = 0; + v->spaceused = 0; re->re_magic = REMAGIC; re->re_info = 0; /* bits get set during parse */ re->re_csize = sizeof(chr); diff --git a/generic/regerrs.h b/generic/regerrs.h index 72548ff..ee203d5 100644 --- a/generic/regerrs.h +++ b/generic/regerrs.h @@ -16,5 +16,5 @@ { REG_INVARG, "REG_INVARG", "invalid argument to regex function" }, { REG_MIXED, "REG_MIXED", "character widths of regex and string differ" }, { REG_BADOPT, "REG_BADOPT", "invalid embedded option" }, -{ REG_ETOOBIG, "REG_ETOOBIG", "nfa has too many states" }, +{ REG_ETOOBIG, "REG_ETOOBIG", "regular expression is too complex" }, { REG_ECOLORS, "REG_ECOLORS", "too many colors" }, diff --git a/generic/regex.h b/generic/regex.h index b5dce50..b5b11bd 100644 --- a/generic/regex.h +++ b/generic/regex.h @@ -277,7 +277,7 @@ typedef struct { #define REG_INVARG 16 /* invalid argument to regex function */ #define REG_MIXED 17 /* character widths of regex and string differ */ #define REG_BADOPT 18 /* invalid embedded option */ -#define REG_ETOOBIG 19 /* nfa has too many states */ +#define REG_ETOOBIG 19 /* regular expression is too complex */ #define REG_ECOLORS 20 /* too many colors */ /* two specials for debugging and testing */ #define REG_ATOI 101 /* convert error-code name to number */ diff --git a/generic/regguts.h b/generic/regguts.h index 7ed8ec1..72bdcb3 100644 --- a/generic/regguts.h +++ b/generic/regguts.h @@ -307,9 +307,6 @@ struct nfa { struct colormap *cm; /* the color map */ color bos[2]; /* colors, if any, assigned to BOS and BOL */ color eos[2]; /* colors, if any, assigned to EOS and EOL */ - size_t size; /* Current NFA size; differs from nstates as - * it also counts the number of states created - * by children of this state. */ struct vars *v; /* simplifies compile error reporting */ struct nfa *parent; /* parent NFA, if any */ }; @@ -339,11 +336,16 @@ struct cnfa { #define NULLCNFA(cnfa) ((cnfa).nstates == 0) /* - * Used to limit the maximum NFA size to something sane. [Bug 1810264] + * This symbol limits the transient heap space used by the regex compiler, + * and thereby also the maximum complexity of NFAs that we'll deal with. + * Currently we only count NFA states and arcs against this; the other + * transient data is generally not large enough to notice compared to those. + * Note that we do not charge anything for the final output data structures + * (the compacted NFA and the colormap). */ - -#ifndef REG_MAX_STATES -# define REG_MAX_STATES 100000 +#ifndef REG_MAX_COMPILE_SPACE +#define REG_MAX_COMPILE_SPACE \ + (100000 * sizeof(struct state) + 100000 * sizeof(struct arcbatch)) #endif /* diff --git a/tests/regexp.test b/tests/regexp.test index 362f425..7878d41 100644 --- a/tests/regexp.test +++ b/tests/regexp.test @@ -716,7 +716,7 @@ test regexp-22.4 {Bug 3606139} -setup { [a 668]([a 55])[a 668]([a 55])[a 668]([a 55])[a 511]] {}] a } -cleanup { rename a {} -} -returnCodes 1 -result {couldn't compile regular expression pattern: nfa has too many states} +} -returnCodes 1 -match glob -result {couldn't compile regular expression pattern: *} test regexp-22.5 {Bug 3610026} -setup { set e {} set cp 99 -- cgit v0.12 From bc85f89c10afaf5368f4c41a235e11955886a1a3 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 20 Oct 2015 20:21:44 +0000 Subject: Adaptation of most of the re-mopup.patch from Tom Lane @ postgress. Still should add the new tests. --- generic/regc_nfa.c | 50 ++++++++++++++++---------------------------------- generic/regcomp.c | 12 ++++++------ 2 files changed, 22 insertions(+), 40 deletions(-) diff --git a/generic/regc_nfa.c b/generic/regc_nfa.c index 5568bff..6280e5e 100644 --- a/generic/regc_nfa.c +++ b/generic/regc_nfa.c @@ -843,15 +843,13 @@ moveins( /* - copyins - copy in arcs of a state to another state - * Either all arcs, or only non-empty ones as determined by all value. ^ static VOID copyins(struct nfa *, struct state *, struct state *, int); */ static void copyins( struct nfa *nfa, struct state *oldState, - struct state *newState, - int all) + struct state *newState) { assert(oldState != newState); @@ -860,9 +858,7 @@ copyins( struct arc *a; for (a = oldState->ins; a != NULL; a = a->inchain) { - if (all || a->type != EMPTY) { - cparc(nfa, a, a->from, newState); - } + cparc(nfa, a, a->from, newState); } } else { /* @@ -892,11 +888,6 @@ copyins( while (oa != NULL && na != NULL) { struct arc *a = oa; - if (!all && a->type == EMPTY) { - oa = oa->inchain; - continue; - } - switch (sortins_cmp(&oa, &na)) { case -1: /* newState does not have anything matching oa */ @@ -920,11 +911,6 @@ copyins( /* newState does not have anything matching oa */ struct arc *a = oa; - if (!all && a->type == EMPTY) { - oa = oa->inchain; - continue; - } - oa = oa->inchain; createarc(nfa, a->type, a->co, a->from, newState); } @@ -1114,15 +1100,13 @@ moveouts( /* - copyouts - copy out arcs of a state to another state - * Either all arcs, or only non-empty ones as determined by all value. ^ static VOID copyouts(struct nfa *, struct state *, struct state *, int); */ static void copyouts( struct nfa *nfa, struct state *oldState, - struct state *newState, - int all) + struct state *newState) { assert(oldState != newState); @@ -1131,9 +1115,7 @@ copyouts( struct arc *a; for (a = oldState->outs; a != NULL; a = a->outchain) { - if (all || a->type != EMPTY) { - cparc(nfa, a, newState, a->to); - } + cparc(nfa, a, newState, a->to); } } else { /* @@ -1163,11 +1145,6 @@ copyouts( while (oa != NULL && na != NULL) { struct arc *a = oa; - if (!all && a->type == EMPTY) { - oa = oa->outchain; - continue; - } - switch (sortouts_cmp(&oa, &na)) { case -1: /* newState does not have anything matching oa */ @@ -1191,11 +1168,6 @@ copyouts( /* newState does not have anything matching oa */ struct arc *a = oa; - if (!all && a->type == EMPTY){ - oa = oa->outchain; - continue; - } - oa = oa->outchain; createarc(nfa, a->type, a->co, newState, a->to); } @@ -1446,6 +1418,11 @@ optimize( fprintf(f, "\nfinal cleanup:\n"); } cleanup(nfa); /* final tidying */ +#ifdef REG_DEBUG + if (verbose) { + dumpnfa(nfa, f); + } +#endif return analyze(nfa); /* and analysis */ } @@ -1570,7 +1547,7 @@ pull( if (NISERR()) { return 0; } - copyins(nfa, from, s, 1); /* duplicate inarcs */ + copyins(nfa, from, s); /* duplicate inarcs */ cparc(nfa, con, s, to); /* move constraint arc */ freearc(nfa, con); if (NISERR()) { @@ -1749,7 +1726,7 @@ push( if (NISERR()) { return 0; } - copyouts(nfa, to, s, 1); /* duplicate outarcs */ + copyouts(nfa, to, s); /* duplicate outarcs */ cparc(nfa, con, from, s); /* move constraint arc */ freearc(nfa, con); if (NISERR()) { @@ -2958,6 +2935,8 @@ dumpnfa( { #ifdef REG_DEBUG struct state *s; + int nstates = 0; + int narcs = 0; fprintf(f, "pre %d, post %d", nfa->pre->no, nfa->post->no); if (nfa->bos[0] != COLORLESS) { @@ -2975,7 +2954,10 @@ dumpnfa( fprintf(f, "\n"); for (s = nfa->states; s != NULL; s = s->next) { dumpstate(s, f); + nstates++; + narcs += s->nouts; } + fprintf(f, "total of %d states, %d arcs\n", nstates, narcs); if (nfa->parent == NULL) { dumpcolors(nfa->cm, f); } diff --git a/generic/regcomp.c b/generic/regcomp.c index 3c91962..8287b7e 100644 --- a/generic/regcomp.c +++ b/generic/regcomp.c @@ -131,10 +131,10 @@ static int sortins_cmp(const void *, const void *); static void sortouts(struct nfa *, struct state *); static int sortouts_cmp(const void *, const void *); static void moveins(struct nfa *, struct state *, struct state *); -static void copyins(struct nfa *, struct state *, struct state *, int); +static void copyins(struct nfa *, struct state *, struct state *); static void mergeins(struct nfa *, struct state *, struct arc **, int); static void moveouts(struct nfa *, struct state *, struct state *); -static void copyouts(struct nfa *, struct state *, struct state *, int); +static void copyouts(struct nfa *, struct state *, struct state *); static void cloneouts(struct nfa *, struct state *, struct state *, struct state *, int); static void delsub(struct nfa *, struct state *, struct state *); static void deltraverse(struct nfa *, struct state *, struct state *); @@ -173,7 +173,6 @@ static void dumpnfa(struct nfa *, FILE *); #ifdef REG_DEBUG static void dumpstate(struct state *, FILE *); static void dumparcs(struct state *, FILE *); -static int dumprarcs(struct arc *, struct state *, FILE *, int); static void dumparc(struct arc *, struct state *, FILE *); #endif static void dumpcnfa(struct cnfa *, FILE *); @@ -627,8 +626,9 @@ makesearch( for (s=slist ; s!=NULL ; s=s2) { s2 = newstate(nfa); - - copyouts(nfa, s, s2, 1); + NOERR(); + copyouts(nfa, s, s2); + NOERR(); for (a=s->ins ; a!=NULL ; a=b) { b = a->inchain; @@ -2061,7 +2061,7 @@ dump( dumpcolors(&g->cmap, f); if (!NULLCNFA(g->search)) { - printf("\nsearch:\n"); + fprintf(f, "\nsearch:\n"); dumpcnfa(&g->search, f); } for (i = 1; i < g->nlacons; i++) { -- cgit v0.12 From 16ccc54387b39505723e3413eb4d755ea7cdb3ff Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 21 Oct 2015 13:35:48 +0000 Subject: Adapted new tests contributed from Tom Lane @postgres. --- tests/reg.test | 28 ++++++++++++++++++++++++++++ 1 file changed, 28 insertions(+) diff --git a/tests/reg.test b/tests/reg.test index b259ce5..6cd2eb3 100644 --- a/tests/reg.test +++ b/tests/reg.test @@ -1093,6 +1093,34 @@ test reg-33.21 {constraint fixes} { test reg-33.22 {constraint fixes} { regexp {(^(?!aa)(?!bb)(?!cc))+} {dd x} } 1 + +test reg-33.23 {} { + regexp {abcd(\m)+xyz} x +} 0 +test reg-33.24 {} { + regexp {abcd(\m)+xyz} a +} 0 +test reg-33.25 {} { + regexp {^abcd*(((((^(a c(e?d)a+|)+|)+|)+|)+|a)+|)} x +} 0 +test reg-33.26 {} { + regexp {a^(^)bcd*xy(((((($a+|)+|)+|)+$|)+|)+|)^$} x +} 0 +test reg-33.27 {} { + regexp {xyz(\Y\Y)+} x +} 0 +test reg-33.28 {} { + regexp {x|(?:\M)+} x +} 1 +test reg-33.29 {} { + # This is near the limits of the RE engine + regexp [string repeat x*y*z* 480] x +} 1 + +test reg-33.30 {Bug 1080042} { + regexp {(\Y)+} foo +} 1 + # cleanup ::tcltest::cleanupTests -- cgit v0.12 From 775b09cb001aae11f753654ae22365f295f56fe8 Mon Sep 17 00:00:00 2001 From: oehhar Date: Wed, 21 Oct 2015 20:30:49 +0000 Subject: Change "clock format -format %x -locale current" output on msgcat locale change [4a0c163d24] --- library/clock.tcl | 36 ++++++++++++++++++++++++++++++++++++ tests/clock.test | 13 +++++++++++++ 2 files changed, 49 insertions(+) diff --git a/library/clock.tcl b/library/clock.tcl index bfdf832..8e4b657 100755 --- a/library/clock.tcl +++ b/library/clock.tcl @@ -111,6 +111,7 @@ proc ::tcl::clock::Initialize {} { mcpackagelocale set {} ::msgcat::mcpackageconfig set mcfolder [file join $LibDir msgs] ::msgcat::mcpackageconfig set unknowncmd "" + ::msgcat::mcpackageconfig set changecmd ChangeCurrentLocale # Define the message catalog for the root locale. @@ -4475,6 +4476,41 @@ proc ::tcl::clock::AddDays { days clockval timezone changeover } { #---------------------------------------------------------------------- # +# ChangeCurrentLocale -- +# +# The global locale was changed within msgcat. +# Clears the buffered parse functions of the current locale. +# +# Parameters: +# loclist (ignored) +# +# Results: +# None. +# +# Side effects: +# Buffered parse functions are cleared. +# +#---------------------------------------------------------------------- + +proc ::tcl::clock::ChangeCurrentLocale {args} { + variable FormatProc + variable LocaleNumeralCache + variable CachedSystemTimeZone + variable TimeZoneBad + + foreach p [info procs [namespace current]::scanproc'*'current] { + rename $p {} + } + foreach p [info procs [namespace current]::formatproc'*'current] { + rename $p {} + } + + catch {array unset FormatProc *'current} + set LocaleNumeralCache {} +} + +#---------------------------------------------------------------------- +# # ClearCaches -- # # Clears all caches to reclaim the memory used in [clock] diff --git a/tests/clock.test b/tests/clock.test index 2abeab9..4f69ed3 100644 --- a/tests/clock.test +++ b/tests/clock.test @@ -36931,6 +36931,19 @@ test clock-67.2 {Bug d19a30db57} -body { # error, not segfault tcl::clock::GetJulianDayFromEraYearMonthDay {} 2361222 } -returnCodes error -match glob -result * + +test clock-67.3 {Change %x output on global locale change [Bug 4a0c163d24]} -setup { + package require msgcat + set current [msgcat::mclocale] +} -body { + msgcat::mclocale de_de + set res [clock format 1 -locale current -format %x] + msgcat::mclocale en_uk + lappend res [clock format 1 -locale current -format %x] +} -cleanup { + msgcat::mclocale $current +} -result {01.01.1970 01/01/1970} + test clock-67.3 {Bug d19a30db57} -body { # error, not segfault tcl::clock::GetJulianDayFromEraYearWeekDay {} 2361222 -- cgit v0.12 From f82f46df1628c6703ad0ff2b94d83c6c9a46c56f Mon Sep 17 00:00:00 2001 From: Kevin B Kenny Date: Wed, 21 Oct 2015 23:30:41 +0000 Subject: Micro-optimization: remove double checked lock from TclGetAllocCache in favour of initialization in TclInitSubsystems --- generic/tclEvent.c | 3 +++ generic/tclInt.h | 3 +++ unix/tclUnixThrd.c | 27 ++++++++++----------------- win/tclWinThrd.c | 33 +++++++++++++++------------------ 4 files changed, 31 insertions(+), 35 deletions(-) diff --git a/generic/tclEvent.c b/generic/tclEvent.c index 8305410..d62850b 100644 --- a/generic/tclEvent.c +++ b/generic/tclEvent.c @@ -1043,6 +1043,9 @@ TclInitSubsystems(void) #if USE_TCLALLOC TclInitAlloc(); /* Process wide mutex init */ #endif +#if defined(TCL_THREADS) && defined(USE_THREAD_ALLOC) + TclpInitThreadAlloc(); +#endif #ifdef TCL_MEM_DEBUG TclInitDbCkalloc(); /* Process wide mutex init */ #endif diff --git a/generic/tclInt.h b/generic/tclInt.h index 356d250..d4baed4 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -3146,6 +3146,9 @@ MODULE_SCOPE int TclpLoadMemory(Tcl_Interp *interp, void *buffer, Tcl_FSUnloadFileProc **unloadProcPtr, int flags); #endif MODULE_SCOPE void TclInitThreadStorage(void); +#if defined(TCL_THREADS) && defined(USE_THREAD_ALLOC) +MODULE_SCOPE void TclpInitThreadAlloc(void); +#endif MODULE_SCOPE void TclFinalizeThreadDataThread(void); MODULE_SCOPE void TclFinalizeThreadStorage(void); #ifdef TCL_WIDE_CLICKS diff --git a/unix/tclUnixThrd.c b/unix/tclUnixThrd.c index ea03332..0f4a8a3 100644 --- a/unix/tclUnixThrd.c +++ b/unix/tclUnixThrd.c @@ -680,7 +680,6 @@ TclpInetNtoa( */ #ifdef USE_THREAD_ALLOC -static volatile int initialized = 0; static pthread_key_t key; typedef struct allocMutex { @@ -727,29 +726,23 @@ TclpFreeAllocCache( TclFreeAllocCache(ptr); pthread_setspecific(key, NULL); - - } else if (initialized) { - /* - * Called by us in TclFinalizeThreadAlloc() during the library - * finalization initiated from Tcl_Finalize() - */ - + + } else { pthread_key_delete(key); - initialized = 0; } } +void +TclpInitThreadAlloc(void) +{ + pthread_mutex_lock(allocLockPtr); + pthread_key_create(&key, TclpFreeAllocCache); + pthread_mutex_unlock(allocLockPtr); +} + void * TclpGetAllocCache(void) { - if (!initialized) { - pthread_mutex_lock(allocLockPtr); - if (!initialized) { - pthread_key_create(&key, TclpFreeAllocCache); - initialized = 1; - } - pthread_mutex_unlock(allocLockPtr); - } return pthread_getspecific(key); } diff --git a/win/tclWinThrd.c b/win/tclWinThrd.c index 1c9d483..fac8ab3 100644 --- a/win/tclWinThrd.c +++ b/win/tclWinThrd.c @@ -122,7 +122,6 @@ typedef struct WinCondition { */ #ifdef USE_THREAD_ALLOC -static int once; static DWORD tlsKey; typedef struct allocMutex { @@ -971,24 +970,24 @@ TclpFreeAllocMutex( free(lockPtr); } +void +TclInitThreadAlloc(void) +{ + /* + * We need to make sure that TclpFreeAllocCache is called on each + * thread that calls this, but only on threads that call this. + */ + + tlsKey = TlsAlloc(); + if (tlsKey == TLS_OUT_OF_INDEXES) { + Tcl_Panic("could not allocate thread local storage"); + } +} + void * TclpGetAllocCache(void) { void *result; - - if (!once) { - /* - * We need to make sure that TclpFreeAllocCache is called on each - * thread that calls this, but only on threads that call this. - */ - - tlsKey = TlsAlloc(); - once = 1; - if (tlsKey == TLS_OUT_OF_INDEXES) { - Tcl_Panic("could not allocate thread local storage"); - } - } - result = TlsGetValue(tlsKey); if ((result == NULL) && (GetLastError() != NO_ERROR)) { Tcl_Panic("TlsGetValue failed from TclpGetAllocCache"); @@ -1024,7 +1023,7 @@ TclpFreeAllocCache( if (!success) { Tcl_Panic("TlsSetValue failed from TclpFreeAllocCache"); } - } else if (once) { + } else { /* * Called by us in TclFinalizeThreadAlloc() during the library * finalization initiated from Tcl_Finalize() @@ -1034,9 +1033,7 @@ TclpFreeAllocCache( if (!success) { Tcl_Panic("TlsFree failed from TclpFreeAllocCache"); } - once = 0; /* reset for next time. */ } - } #endif /* USE_THREAD_ALLOC */ -- cgit v0.12 From ea342f5111aeaaf3b3da7e7e75df24f55a0f3e7d Mon Sep 17 00:00:00 2001 From: dkf Date: Thu, 22 Oct 2015 01:00:28 +0000 Subject: Turn off NRE asserts by default. About a 5% speedup on [clock format]. --- generic/tclBasic.c | 3 --- generic/tclExecute.c | 3 --- generic/tclInt.h | 4 +++- 3 files changed, 3 insertions(+), 7 deletions(-) diff --git a/generic/tclBasic.c b/generic/tclBasic.c index a09bf10..5c5bc64 100644 --- a/generic/tclBasic.c +++ b/generic/tclBasic.c @@ -22,10 +22,7 @@ #include "tclCompile.h" #include "tommath.h" #include - -#if NRE_ENABLE_ASSERTS #include -#endif #define INTERP_STACK_INITIAL_SIZE 2000 #define CORO_STACK_INITIAL_SIZE 200 diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 7f65262..b10af65 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -20,10 +20,7 @@ #include "tclOOInt.h" #include "tommath.h" #include - -#if NRE_ENABLE_ASSERTS #include -#endif /* * Hack to determine whether we may expect IEEE floating point. The hack is diff --git a/generic/tclInt.h b/generic/tclInt.h index d4baed4..50eb370 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -4799,7 +4799,9 @@ void Tcl_Panic(const char *, ...) __attribute__((analyzer_noreturn)); */ #define NRE_USE_SMALL_ALLOC 1 /* Only turn off for debugging purposes. */ -#define NRE_ENABLE_ASSERTS 1 +#ifndef NRE_ENABLE_ASSERTS +#define NRE_ENABLE_ASSERTS 0 +#endif /* * This is the main data struct for representing NR commands. It is designed -- cgit v0.12 From ca9cf2ba57b9245e21d8bd908ffdbea32ed3d7cd Mon Sep 17 00:00:00 2001 From: Kevin B Kenny Date: Thu, 22 Oct 2015 14:07:01 +0000 Subject: fix typo in micro-optimization TclpInitThreadAlloc --- win/tclWinThrd.c | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/win/tclWinThrd.c b/win/tclWinThrd.c index fac8ab3..a2fc226 100644 --- a/win/tclWinThrd.c +++ b/win/tclWinThrd.c @@ -971,7 +971,7 @@ TclpFreeAllocMutex( } void -TclInitThreadAlloc(void) +TclpInitThreadAlloc(void) { /* * We need to make sure that TclpFreeAllocCache is called on each -- cgit v0.12 From ca7c0960d7638677ec58d01f6229fda1c9e310a4 Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 22 Oct 2015 21:06:35 +0000 Subject: Open the release candidate branch for Tcl 8.5.19. Updated changes file. --- changes | 39 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 39 insertions(+) diff --git a/changes b/changes index 6d61b5e..31757a0 100644 --- a/changes +++ b/changes @@ -7929,3 +7929,42 @@ of Tcl_Channel (porter) 2015-02-11 tzdata updated to Olson's tzdata2015a (venkat) --- Released 8.5.18, March 6, 2015 --- http://core.tcl.tk/tcl/ for details + +2015-03-10 (bug)[3028676] Refinement in OS X notifier (steffen,walzer,lars_h) + +2015-04-23 (bug)[19ea02] Win: shared read from linked dirs (bogdan,oehhar) + +2015-04-24 (bug)[879a07] Incomplete chars @ buffer ends (leunissen,porter) + +2015-04-29 (bug)[894da1] Hang flushing blocking channels (yorick) + +2015-05-27 (enhancement) Relax memdebug constraint on extensions (kupries) + +2015-06-16 (bug)[e770d9] Higher baud on serial channels (woods,nijtmans) + +2015-06-18 (update) Update Unicode data to 8.0 (nijtmans) + *** POTENTIAL INCOMPATIBILITY *** + +2015-07-15 (bug)[b1534b][9bad63] writes beyond buffer bounds (hanno,porter) + +2015-07-29 (bug)[3e7eca] Allocation overflow in expr parsing (rickyb,porter) + +2015-08-12 tzdata updated to Olson's tzdata2015f (venkat) + +2015-08-19 (bug)[00189c] MSVC 14: semi-static UCRT support (dower,nijtmans) + +2015-08-26 (bug)[0df7a1] Tolerate getcwd() failures (cato,nijtmans) + +2015-09-23 (bug)[e0a7b3] Input buffer draining & file events (griffin,porter) + +2015-09-24 (bug)[57945b] lock in forking/multi-threading (neumann,mistachkin) + +2015-09-29 (bug)[219866] Cygwin support error (yorick,nijtmans) +=> platform 1.0.14 + +2015-10-06 (bug)[b42a85] Win: [file normalize ~user] wrong dir (nadkarni) + +2015-10-21 (bug)[818a1a][a3c350][d7ea9f][8f2450][1080042] Many fixes and +improvements to regexp engine from Postgres (lane,porter,fellows,seltenreich) + +--- Released 8.5.19, December 1, 2015 --- http://core.tcl.tk/tcl/ for details -- cgit v0.12 From 4479e16df25d9fad8636372be8e5010eb70df2c9 Mon Sep 17 00:00:00 2001 From: oehhar Date: Fri, 23 Oct 2015 08:08:09 +0000 Subject: New test for clock scan, test numbering corrected --- tests/clock.test | 25 +++++++++++++++++++------ 1 file changed, 19 insertions(+), 6 deletions(-) mode change 100644 => 100755 tests/clock.test diff --git a/tests/clock.test b/tests/clock.test old mode 100644 new mode 100755 index 4f69ed3..d4f0bc9 --- a/tests/clock.test +++ b/tests/clock.test @@ -36932,22 +36932,35 @@ test clock-67.2 {Bug d19a30db57} -body { tcl::clock::GetJulianDayFromEraYearMonthDay {} 2361222 } -returnCodes error -match glob -result * -test clock-67.3 {Change %x output on global locale change [Bug 4a0c163d24]} -setup { +test clock-67.3 {Bug d19a30db57} -body { + # error, not segfault + tcl::clock::GetJulianDayFromEraYearWeekDay {} 2361222 +} -returnCodes error -match glob -result * + +test clock-67.4 {Change format %x output on global locale change [Bug 4a0c163d24]} -setup { package require msgcat set current [msgcat::mclocale] } -body { msgcat::mclocale de_de - set res [clock format 1 -locale current -format %x] + set res [list [clock format 1 -locale current -format %x]] msgcat::mclocale en_uk lappend res [clock format 1 -locale current -format %x] } -cleanup { msgcat::mclocale $current } -result {01.01.1970 01/01/1970} -test clock-67.3 {Bug d19a30db57} -body { - # error, not segfault - tcl::clock::GetJulianDayFromEraYearWeekDay {} 2361222 -} -returnCodes error -match glob -result * +test clock-67.5 {Change scan %x output on global locale change [Bug 4a0c163d24]} -setup { + package require msgcat + set current [msgcat::mclocale] +} -body { + msgcat::mclocale de_de + set res [clock scan "01.01.1970" -locale current -format %x] + msgcat::mclocale en_uk + # This will fail without the bug fix, as still de_de is active + expr {$res == [clock scan "01/01/1970" -locale current -format %x]} +} -cleanup { + msgcat::mclocale $current +} -result {1} # cleanup -- cgit v0.12 From f99f9dafa7b110163fe611aa0b1662d1487a61dc Mon Sep 17 00:00:00 2001 From: oehhar Date: Fri, 23 Oct 2015 12:52:19 +0000 Subject: Make test clock-67.4 time zone independent. Bug [4a0c163d24] --- tests/clock.test | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/tests/clock.test b/tests/clock.test index d4f0bc9..615f3a8 100644 --- a/tests/clock.test +++ b/tests/clock.test @@ -36942,12 +36942,12 @@ test clock-67.4 {Change format %x output on global locale change [Bug 4a0c163d24 set current [msgcat::mclocale] } -body { msgcat::mclocale de_de - set res [list [clock format 1 -locale current -format %x]] + set res [regexp {^\d{2}\.\d{2}\.\d{4}$} [clock format 1 -locale current -format %x]] msgcat::mclocale en_uk - lappend res [clock format 1 -locale current -format %x] + lappend res [regexp {^\d{2}/\d{2}/\d{4}$} [clock format 1 -locale current -format %x]] } -cleanup { msgcat::mclocale $current -} -result {01.01.1970 01/01/1970} +} -result {1 1} test clock-67.5 {Change scan %x output on global locale change [Bug 4a0c163d24]} -setup { package require msgcat -- cgit v0.12 From 8ce51a07b8d38dd87747125c886b78d9960f9fe8 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 23 Oct 2015 14:30:40 +0000 Subject: Bump to release number 8.5.19 --- README | 2 +- generic/tcl.h | 4 ++-- library/init.tcl | 2 +- tools/tcl.wse.in | 2 +- unix/configure.in | 2 +- unix/tcl.spec | 2 +- win/configure.in | 2 +- 7 files changed, 8 insertions(+), 8 deletions(-) diff --git a/README b/README index 6d5a9be..c71d177 100644 --- a/README +++ b/README @@ -1,5 +1,5 @@ README: Tcl - This is the Tcl 8.5.18 source distribution. + This is the Tcl 8.5.19 source distribution. http://sourceforge.net/projects/tcl/files/Tcl/ You can get any source release of Tcl from the URL above. diff --git a/generic/tcl.h b/generic/tcl.h index 464f205..4fb5bb2 100644 --- a/generic/tcl.h +++ b/generic/tcl.h @@ -58,10 +58,10 @@ extern "C" { #define TCL_MAJOR_VERSION 8 #define TCL_MINOR_VERSION 5 #define TCL_RELEASE_LEVEL TCL_FINAL_RELEASE -#define TCL_RELEASE_SERIAL 18 +#define TCL_RELEASE_SERIAL 19 #define TCL_VERSION "8.5" -#define TCL_PATCH_LEVEL "8.5.18" +#define TCL_PATCH_LEVEL "8.5.19" /* * The following definitions set up the proper options for Windows compilers. diff --git a/library/init.tcl b/library/init.tcl index 62729e6..aaf148b 100644 --- a/library/init.tcl +++ b/library/init.tcl @@ -16,7 +16,7 @@ if {[info commands package] == ""} { error "version mismatch: library\nscripts expect Tcl version 7.5b1 or later but the loaded version is\nonly [info patchlevel]" } -package require -exact Tcl 8.5.18 +package require -exact Tcl 8.5.19 # Compute the auto path to use in this interpreter. # The values on the path come from several locations: diff --git a/tools/tcl.wse.in b/tools/tcl.wse.in index 3bc8ee4..06efbba 100644 --- a/tools/tcl.wse.in +++ b/tools/tcl.wse.in @@ -12,7 +12,7 @@ item: Global Log Pathname=%MAINDIR%\INSTALL.LOG Message Font=MS Sans Serif Font Size=8 - Disk Label=tcl8.5.18 + Disk Label=tcl8.5.19 Disk Filename=setup Patch Flags=0000000000000001 Patch Threshold=85 diff --git a/unix/configure.in b/unix/configure.in index 9c93024..ed895d9 100644 --- a/unix/configure.in +++ b/unix/configure.in @@ -25,7 +25,7 @@ m4_ifdef([SC_USE_CONFIG_HEADERS], [ TCL_VERSION=8.5 TCL_MAJOR_VERSION=8 TCL_MINOR_VERSION=5 -TCL_PATCH_LEVEL=".18" +TCL_PATCH_LEVEL=".19" VERSION=${TCL_VERSION} #------------------------------------------------------------------------ diff --git a/unix/tcl.spec b/unix/tcl.spec index 76ab925..9062694 100644 --- a/unix/tcl.spec +++ b/unix/tcl.spec @@ -4,7 +4,7 @@ Name: tcl Summary: Tcl scripting language development environment -Version: 8.5.18 +Version: 8.5.19 Release: 2 License: BSD Group: Development/Languages diff --git a/win/configure.in b/win/configure.in index 6b30162..8931a38 100644 --- a/win/configure.in +++ b/win/configure.in @@ -14,7 +14,7 @@ SHELL=/bin/sh TCL_VERSION=8.5 TCL_MAJOR_VERSION=8 TCL_MINOR_VERSION=5 -TCL_PATCH_LEVEL=".18" +TCL_PATCH_LEVEL=".19" VER=$TCL_MAJOR_VERSION$TCL_MINOR_VERSION TCL_DDE_VERSION=1.3 -- cgit v0.12 From 2117a3bcf0ee00ee1c7036744732be970cfd6181 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 23 Oct 2015 14:57:56 +0000 Subject: Backout of failed attempt to fix [32ae34e63a] got checked into wrong branch. --- generic/tclIO.c | 47 ++----------- generic/tclIORChan.c | 8 +++ tests/io.test | 186 --------------------------------------------------- tests/ioCmd.test | 26 +++---- 4 files changed, 25 insertions(+), 242 deletions(-) diff --git a/generic/tclIO.c b/generic/tclIO.c index 0910cc5..9a4735f 100644 --- a/generic/tclIO.c +++ b/generic/tclIO.c @@ -113,30 +113,11 @@ typedef struct CopyState { Tcl_WideInt total; /* Total bytes transferred (written). */ Tcl_Interp *interp; /* Interp that started the copy. */ Tcl_Obj *cmdPtr; /* Command to be invoked at completion. */ - int refCount; /* Claim count on the struct */ - int bufInUse; /* Flag to govern access to buffer */ int bufSize; /* Size of appended buffer. */ char buffer[1]; /* Copy buffer, this must be the last * field. */ } CopyState; -static void -PreserveCopyState( - CopyState *csPtr) -{ - csPtr->refCount++; -} - -static void -ReleaseCopyState( - CopyState *csPtr) -{ - if (--csPtr->refCount) { - return; - } - ckfree((char *) csPtr); -} - /* * All static variables used in this file are collected into a single instance * of the following structure. For multi-threaded implementations, there is @@ -8668,13 +8649,9 @@ TclCopyChannel( Tcl_IncrRefCount(cmdPtr); } csPtr->cmdPtr = cmdPtr; - csPtr->refCount = 1; - csPtr->bufInUse = 0; inStatePtr->csPtrR = csPtr; - PreserveCopyState(csPtr); outStatePtr->csPtrW = csPtr; - PreserveCopyState(csPtr); /* * Special handling of -size 0 async transfers, so that the -command is @@ -8726,11 +8703,6 @@ CopyData( /* Encoding control */ int underflow; /* Input underflow */ - if (csPtr->bufInUse) { - return TCL_OK; - } - PreserveCopyState(csPtr); - inChan = (Tcl_Channel) csPtr->readPtr; outChan = (Tcl_Channel) csPtr->writePtr; inStatePtr = csPtr->readPtr->state; @@ -8792,7 +8764,6 @@ CopyData( sizeb = csPtr->toRead; } - csPtr->bufInUse = 1; if (inBinary || sameEncoding) { size = DoRead(inStatePtr->topChanPtr, csPtr->buffer, sizeb); } else { @@ -8843,7 +8814,6 @@ CopyData( TclDecrRefCount(bufObj); bufObj = NULL; } - ReleaseCopyState(csPtr); return TCL_OK; } } @@ -8864,7 +8834,6 @@ CopyData( } else { sizeb = WriteChars(outStatePtr->topChanPtr, buffer, sizeb); } - csPtr->bufInUse = 0; /* * [Bug 2895565]. At this point 'size' still contains the number of @@ -8936,7 +8905,6 @@ CopyData( TclDecrRefCount(bufObj); bufObj = NULL; } - ReleaseCopyState(csPtr); return TCL_OK; } @@ -8959,7 +8927,6 @@ CopyData( TclDecrRefCount(bufObj); bufObj = NULL; } - ReleaseCopyState(csPtr); return TCL_OK; } } /* while */ @@ -8975,14 +8942,15 @@ CopyData( */ total = csPtr->total; - if (cmdPtr && interp && csPtr->cmdPtr) { + if (cmdPtr && interp) { int code; /* * Get a private copy of the command so we can mutate it by adding * arguments. Note that StopCopy frees our saved reference to the * original command obj. */ - cmdPtr = Tcl_DuplicateObj(csPtr->cmdPtr); + + cmdPtr = Tcl_DuplicateObj(cmdPtr); Tcl_IncrRefCount(cmdPtr); StopCopy(csPtr); Tcl_Preserve(interp); @@ -9010,7 +8978,6 @@ CopyData( } } } - ReleaseCopyState(csPtr); return result; } @@ -9324,16 +9291,10 @@ StopCopy( CopyEventProc, csPtr); } TclDecrRefCount(csPtr->cmdPtr); - csPtr->cmdPtr = NULL; - } - if (inStatePtr->csPtrR == NULL) { - return; } - ReleaseCopyState(inStatePtr->csPtrR); inStatePtr->csPtrR = NULL; - ReleaseCopyState(outStatePtr->csPtrW); outStatePtr->csPtrW = NULL; - ReleaseCopyState(csPtr); + ckfree((char *) csPtr); } /* diff --git a/generic/tclIORChan.c b/generic/tclIORChan.c index 2e5fa45..bbb5b88 100644 --- a/generic/tclIORChan.c +++ b/generic/tclIORChan.c @@ -1508,6 +1508,14 @@ ReflectWatch( mask &= rcPtr->mode; + if (mask == rcPtr->interest) { + /* + * Same old, same old, why should we do something? + */ + + return; + } + rcPtr->interest = mask; /* diff --git a/tests/io.test b/tests/io.test index 914cbca..50c5808 100644 --- a/tests/io.test +++ b/tests/io.test @@ -7886,192 +7886,6 @@ test io-53.15 {[ed29c4da21] DoRead: fblocked seen as error} -setup { removeFile out } -result 100 -test io-53.18 {[32ae34e63a] recursive CopyData} -setup { - proc driver {cmd args} { - variable buffer - variable index - set chan [lindex $args 0] - switch -- $cmd { - initialize { - set index($chan) 0 - set buffer($chan) [encoding convertto utf-8 \ - [string repeat a 100]] - return {initialize finalize watch read} - } - finalize { - unset index($chan) buffer($chan) - return - } - watch { - if {"read" in [lindex $args 1]} { - chan postevent $chan read - } - return - } - read { - set n [lindex $args 1] - set new [expr {$index($chan) + $n}] - set result [string range $buffer($chan) $index($chan) $new-1] - set index($chan) $new - return $result - } - } - } - proc more {c outChan bytes args} { - if {[eof $c]} { - set ::done eof - catch {close $c} - return - } - if {[llength $args]} { - set ::done error - } else { - chan copy $c $outChan -command [list [namespace which more] $c $outChan] - } - } - set c [chan create read [namespace which driver]] - chan configure $c -encoding utf-8 - set out [makeFile {} out] - set outChan [open $out w] - # Different encoding to force use of DoReadChars() - chan configure $outChan -encoding iso8859-1 -} -body { - after 100 {set ::done timeout} - chan copy $c $outChan -size 99 -command [list [namespace which more] $c $outChan] - vwait ::done - set ::done -} -cleanup { - close $outChan - removeFile out - rename driver {} - rename more {} - unset ::done -} -result eof - -test io-53.19 {[32ae34e63a] stop ReflectWatch filtering} -setup { - proc driver {cmd args} { - variable buffer - variable index - set chan [lindex $args 0] - switch -- $cmd { - initialize { - set index($chan) 0 - set buffer($chan) [encoding convertto utf-8 \ - [string repeat a 100]] - return {initialize finalize watch read} - } - finalize { - unset index($chan) buffer($chan) - return - } - watch { - if {"read" in [lindex $args 1]} { - chan postevent $chan read - } - return - } - read { - set n [lindex $args 1] - set new [expr {$index($chan) + $n}] - set result [string range $buffer($chan) $index($chan) $new-1] - set index($chan) $new - return $result - } - } - } - proc more {c outChan bytes args} { - if {[eof $c]} { - set ::done eof - catch {close $c} - return - } - if {[llength $args]} { - set ::done error - } else { - chan copy $c $outChan -size 30 -command [list [namespace which more] $c $outChan] - } - } - set c [chan create read [namespace which driver]] - chan configure $c -encoding utf-8 -buffersize 20 - set out [makeFile {} out] - set outChan [open $out w] - # Different encoding to force use of DoReadChars() - chan configure $outChan -encoding iso8859-1 -} -body { - after 100 {set ::done timeout} - chan copy $c $outChan -size 30 -command [list [namespace which more] $c $outChan] - vwait ::done - set ::done -} -cleanup { - catch {close $outChan} - removeFile out - rename driver {} - rename more {} - unset ::done -} -result eof - -test io-53.20 {[e0a7b3e5f8] DoRead calls to UpdateInterest} -setup { - proc driver {cmd args} { - variable buffer - variable index - set chan [lindex $args 0] - switch -- $cmd { - initialize { - set index($chan) 0 - set buffer($chan) [encoding convertto utf-8 \ - [string repeat a 100]] - return {initialize finalize watch read} - } - finalize { - unset index($chan) buffer($chan) - return - } - watch { - if {"read" in [lindex $args 1]} { - chan postevent $chan read - } - return - } - read { - set n [lindex $args 1] - set new [expr {$index($chan) + $n}] - set result [string range $buffer($chan) $index($chan) $new-1] - set index($chan) $new - return $result - } - } - } - proc more {c outChan bytes args} { - if {[eof $c]} { - set ::done eof - catch {close $c} - return - } - if {[llength $args]} { - set ::done error - } else { - chan copy $c $outChan -size 10 -command [list [namespace which more] $c $outChan] - } - } - set c [chan create read [namespace which driver]] - chan configure $c -encoding utf-8 -buffersize 20 - set out [makeFile {} out] - set outChan [open $out w] - # Same encoding to force use of DoRead() - chan configure $outChan -encoding utf-8 -} -body { - after 100 {set ::done timeout} - chan copy $c $outChan -size 10 -command [list [namespace which more] $c $outChan] - vwait ::done - set ::done -} -cleanup { - catch {close $outChan} - removeFile out - rename driver {} - rename more {} - unset ::done -} -result eof - test io-54.1 {Recursive channel events} {socket fileevent} { # This test checks to see if file events are delivered during recursive # event loops when there is buffered data on the channel. diff --git a/tests/ioCmd.test b/tests/ioCmd.test index e2a6d84..5a76d48 100644 --- a/tests/ioCmd.test +++ b/tests/ioCmd.test @@ -981,7 +981,7 @@ test iocmd-23.1 {chan read, regular data return} -match glob -body { close $c rename foo {} set res -} -result {{read rc* 4096} {read rc* 4096} {watch rc* {}} snarfsnarf} +} -result {{read rc* 4096} {read rc* 4096} snarfsnarf} test iocmd-23.2 {chan read, bad data return, to much} -match glob -body { set res {} proc foo {args} { @@ -993,7 +993,7 @@ test iocmd-23.2 {chan read, bad data return, to much} -match glob -body { close $c rename foo {} set res -} -result {{read rc* 4096} {watch rc* {}} 1 {read delivered more than requested}} +} -result {{read rc* 4096} 1 {read delivered more than requested}} test iocmd-23.3 {chan read, for non-readable channel} -match glob -body { set res {} proc foo {args} { @@ -1016,7 +1016,7 @@ test iocmd-23.4 {chan read, error return} -match glob -body { close $c rename foo {} set res -} -result {{read rc* 4096} {watch rc* {}} 1 BOOM!} +} -result {{read rc* 4096} 1 BOOM!} test iocmd-23.5 {chan read, break return is error} -match glob -body { set res {} proc foo {args} { @@ -1028,7 +1028,7 @@ test iocmd-23.5 {chan read, break return is error} -match glob -body { close $c rename foo {} set res -} -result {{read rc* 4096} {watch rc* {}} 1 *bad code*} +} -result {{read rc* 4096} 1 *bad code*} test iocmd-23.6 {chan read, continue return is error} -match glob -body { set res {} proc foo {args} { @@ -1040,7 +1040,7 @@ test iocmd-23.6 {chan read, continue return is error} -match glob -body { close $c rename foo {} set res -} -result {{read rc* 4096} {watch rc* {}} 1 *bad code*} +} -result {{read rc* 4096} 1 *bad code*} test iocmd-23.7 {chan read, custom return is error} -match glob -body { set res {} proc foo {args} { @@ -1052,7 +1052,7 @@ test iocmd-23.7 {chan read, custom return is error} -match glob -body { close $c rename foo {} set res -} -result {{read rc* 4096} {watch rc* {}} 1 *bad code*} +} -result {{read rc* 4096} 1 *bad code*} test iocmd-23.8 {chan read, level is squashed} -match glob -body { set res {} proc foo {args} { @@ -1064,7 +1064,7 @@ test iocmd-23.8 {chan read, level is squashed} -match glob -body { close $c rename foo {} set res -} -result {{read rc* 4096} {watch rc* {}} 1 *bad code* {-code 1 -level 0 -errorcode NONE -errorline 1 -errorinfo *bad code*subcommand "read"*}} +} -result {{read rc* 4096} 1 *bad code* {-code 1 -level 0 -errorcode NONE -errorline 1 -errorinfo *bad code*subcommand "read"*}} test iocmd-23.9 {chan read, no data means eof} -match glob -setup { set res {} proc foo {args} { @@ -1080,7 +1080,7 @@ test iocmd-23.9 {chan read, no data means eof} -match glob -setup { close $c rename foo {} unset res -} -result {{read rc* 4096} {watch rc* {}} {} 1} +} -result {{read rc* 4096} {} 1} test iocmd-23.10 {chan read, EAGAIN means no data, yet no eof either} -match glob -setup { set res {} proc foo {args} { @@ -1096,7 +1096,7 @@ test iocmd-23.10 {chan read, EAGAIN means no data, yet no eof either} -match glo close $c rename foo {} unset res -} -result {{read rc* 4096} {watch rc* {}} {} 0} +} -result {{read rc* 4096} {} 0} test iocmd-23.11 {chan read, close pulls the rug out} -match glob -body { set res {} proc foo {args} { @@ -1410,14 +1410,14 @@ test iocmd-25.10 {chan configure, cgetall, level is ignored} -match glob -body { test iocmd-26.1 {chan configure, set standard option} -match glob -body { set res {} proc foo {args} { - oninit configure; onfinal; track; return + oninit configure; onfinal; track; note MUST_NOT_HAPPEN; return } set c [chan create {r w} foo] note [fconfigure $c -translation lf] close $c rename foo {} set res -} -result {{watch rc* {}} {}} +} -result {{}} test iocmd-26.2 {chan configure, set option, error return} -match glob -body { set res {} proc foo {args} { @@ -1955,7 +1955,7 @@ test iocmd-31.6 {chan postevent, posted events do happen} -match glob -body { close $c rename foo {} set res -} -result {{watch rc* read} {} TOCK {watch rc* read} {} {watch rc* {}}} +} -result {{watch rc* read} {} TOCK {} {watch rc* {}}} test iocmd-31.7 {chan postevent, posted events do happen} -match glob -body { set res {} proc foo {args} {oninit; onfinal; track; return} @@ -1968,7 +1968,7 @@ test iocmd-31.7 {chan postevent, posted events do happen} -match glob -body { close $c rename foo {} set res -} -result {{watch rc* write} {} TOCK {watch rc* write} {} {watch rc* {}}} +} -result {{watch rc* write} {} TOCK {} {watch rc* {}}} test iocmd-31.8 {chan postevent after close throws error} -match glob -setup { proc foo {args} {oninit; onfinal; track; return} proc dummy args { return } -- cgit v0.12 From 0dd6aea93ddc469a60059a29582f10a3a472e00d Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 23 Oct 2015 15:21:36 +0000 Subject: autoconf-2.59 --- unix/configure | 2 +- win/configure | 10 +++++----- 2 files changed, 6 insertions(+), 6 deletions(-) diff --git a/unix/configure b/unix/configure index bbac11d..98c2bba 100755 --- a/unix/configure +++ b/unix/configure @@ -1337,7 +1337,7 @@ ac_compiler_gnu=$ac_cv_c_compiler_gnu TCL_VERSION=8.5 TCL_MAJOR_VERSION=8 TCL_MINOR_VERSION=5 -TCL_PATCH_LEVEL=".18" +TCL_PATCH_LEVEL=".19" VERSION=${TCL_VERSION} #------------------------------------------------------------------------ diff --git a/win/configure b/win/configure index dc03e62..607cf30 100755 --- a/win/configure +++ b/win/configure @@ -1311,7 +1311,7 @@ SHELL=/bin/sh TCL_VERSION=8.5 TCL_MAJOR_VERSION=8 TCL_MINOR_VERSION=5 -TCL_PATCH_LEVEL=".18" +TCL_PATCH_LEVEL=".19" VER=$TCL_MAJOR_VERSION$TCL_MINOR_VERSION TCL_DDE_VERSION=1.3 @@ -4775,21 +4775,21 @@ TCL_SHARED_LIB_SUFFIX="\${NODOT_VERSION}${DLLSUFFIX}" TCL_UNSHARED_LIB_SUFFIX="\${NODOT_VERSION}${LIBSUFFIX}" TCL_EXPORT_FILE_SUFFIX="\${NODOT_VERSION}${LIBSUFFIX}" -eval "TCL_SRC_DIR=\"`cd $srcdir/..; pwd`\"" +eval "TCL_SRC_DIR=\"`cd $srcdir/..; $CYGPATH $(pwd)`\"" eval "TCL_DLL_FILE=tcl${VER}${DLLSUFFIX}" eval "TCL_LIB_FILE=${LIBPREFIX}tcl$VER${LIBSUFFIX}" eval "TCL_LIB_FLAG=\"-ltcl${VER}${LIBFLAGSUFFIX}\"" -eval "TCL_BUILD_LIB_SPEC=\"-L`pwd` ${TCL_LIB_FLAG}\"" +eval "TCL_BUILD_LIB_SPEC=\"-L`$CYGPATH $(pwd)` ${TCL_LIB_FLAG}\"" eval "TCL_LIB_SPEC=\"-L${libdir} ${TCL_LIB_FLAG}\"" eval "TCL_STUB_LIB_FILE=\"${LIBPREFIX}tclstub${VER}${LIBSUFFIX}\"" eval "TCL_STUB_LIB_FLAG=\"-ltclstub${VER}${LIBFLAGSUFFIX}\"" -eval "TCL_BUILD_STUB_LIB_SPEC=\"-L`pwd` ${TCL_STUB_LIB_FLAG}\"" +eval "TCL_BUILD_STUB_LIB_SPEC=\"-L`$CYGPATH $(pwd)` ${TCL_STUB_LIB_FLAG}\"" eval "TCL_STUB_LIB_SPEC=\"-L${libdir} ${TCL_STUB_LIB_FLAG}\"" -eval "TCL_BUILD_STUB_LIB_PATH=\"`pwd`/${TCL_STUB_LIB_FILE}\"" +eval "TCL_BUILD_STUB_LIB_PATH=\"`$CYGPATH $(pwd)`/${TCL_STUB_LIB_FILE}\"" eval "TCL_STUB_LIB_PATH=\"${libdir}/${TCL_STUB_LIB_FILE}\"" # Install time header dir can be set via --includedir -- cgit v0.12 From f6c021c559b57cc973581cb328496b13e5f3c952 Mon Sep 17 00:00:00 2001 From: dkf Date: Fri, 23 Oct 2015 21:52:10 +0000 Subject: Knock perhaps 1% off execution time: guard on TclAsyncReady more efficient when decrementing to zero. --- generic/tclExecute.c | 20 +++++++++++--------- 1 file changed, 11 insertions(+), 9 deletions(-) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index b10af65..f6dfc46 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -34,14 +34,14 @@ #endif /* - * A mask (should be 2**n-1) that is used to work out when the bytecode engine - * should call Tcl_AsyncReady() to see whether there is a signal that needs - * handling. + * A counter that is used to work out when the bytecode engine should call + * Tcl_AsyncReady() to see whether there is a signal that needs handling, and + * other expensive periodic operations. */ -#ifndef ASYNC_CHECK_COUNT_MASK -# define ASYNC_CHECK_COUNT_MASK 63 -#endif /* !ASYNC_CHECK_COUNT_MASK */ +#ifndef ASYNC_CHECK_COUNT +# define ASYNC_CHECK_COUNT 64 +#endif /* !ASYNC_CHECK_COUNT */ /* * Boolean flag indicating whether the Tcl bytecode interpreter has been @@ -2116,7 +2116,8 @@ TEBCresume( * sporadically: no special need for speed. */ - int instructionCount = 0; /* Counter that is used to work out when to + int instructionCount = ASYNC_CHECK_COUNT; + /* Counter that is used to work out when to * call Tcl_AsyncReady() */ const char *curInstName; #ifdef TCL_COMPILE_DEBUG @@ -2315,10 +2316,11 @@ TEBCresume( /* * Check for asynchronous handlers [Bug 746722]; we do the check every - * ASYNC_CHECK_COUNT_MASK instruction, of the form (2**n-1). + * ASYNC_CHECK_COUNT instructions. */ - if ((instructionCount++ & ASYNC_CHECK_COUNT_MASK) == 0) { + if (!(--instructionCount)) { + instructionCount = ASYNC_CHECK_COUNT; DECACHE_STACK_INFO(); if (TclAsyncReady(iPtr)) { result = Tcl_AsyncInvoke(interp, result); -- cgit v0.12 From b40c3af17683766d1e1359c9ceb4dd7178f6afc5 Mon Sep 17 00:00:00 2001 From: Kevin B Kenny Date: Fri, 23 Oct 2015 22:29:23 +0000 Subject: Correct bad regexp in platform::identify that causes it to return incorrect results everywhere. --- library/platform/platform.tcl | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/library/platform/platform.tcl b/library/platform/platform.tcl index c596e60..0160184 100644 --- a/library/platform/platform.tcl +++ b/library/platform/platform.tcl @@ -165,7 +165,7 @@ proc ::platform::identify {} { global tcl_platform set id [generic] - regexp {^([^-]+)-([^-]+)$} $id -> plat ver wow cpu + regexp {^([^-]+)(-[0-9\.]+)?(-wow)?-([^-]+)$} $id -> plat ver wow cpu switch -- $plat { solaris { -- cgit v0.12 From 24c49324b4488e47b21eaa259a0950464f9b930c Mon Sep 17 00:00:00 2001 From: dkf Date: Fri, 23 Oct 2015 22:30:57 +0000 Subject: Ensure that at lease the format of the output of the platform package's commands is consistently parsable. --- tests/platform.test | 13 ++++++++++++- 1 file changed, 12 insertions(+), 1 deletion(-) diff --git a/tests/platform.test b/tests/platform.test index ab82d07..b5ddc48 100644 --- a/tests/platform.test +++ b/tests/platform.test @@ -1,4 +1,4 @@ -# The file tests the tcl_platform variable +# The file tests the tcl_platform variable and platform package. # # This file contains a collection of tests for one or more of the Tcl # built-in commands. Sourcing this file into Tcl runs the tests and @@ -54,6 +54,17 @@ test platform-3.1 {CPU ID on Windows/UNIX} \ -match regexp \ -result {^(?:AuthenticAMD|CentaurHauls|CyrixInstead|GenuineIntel)$} +# The platform package makes very few promises, but does promise that the +# format of string it produces consists of two non-empty words separated by a +# hyphen. +package require platform +test platform-4.1 {format of platform::identify result} -match regexp -body { + platform::identify +} -result {^[^-]+-[^-]+$} +test platform-4.2 {format of platform::generic result} -match regexp -body { + platform::generic +} -result {^[^-]+-[^-]+$} + # cleanup cleanupTests -- cgit v0.12 From d0c545cc65b329440189d7ebfec034137b26e0e7 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Sat, 24 Oct 2015 07:40:30 +0000 Subject: Bring back regexp to wat it was in latest release. This is the correct fix for kbk's attempt. --- library/platform/platform.tcl | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/library/platform/platform.tcl b/library/platform/platform.tcl index 0160184..35a22a3 100644 --- a/library/platform/platform.tcl +++ b/library/platform/platform.tcl @@ -165,7 +165,7 @@ proc ::platform::identify {} { global tcl_platform set id [generic] - regexp {^([^-]+)(-[0-9\.]+)?(-wow)?-([^-]+)$} $id -> plat ver wow cpu + regexp {^([^-]+)-([^-]+)$} $id -> plat cpu switch -- $plat { solaris { -- cgit v0.12 From 042f85a7d6565407ef15942699cb0e1d2f28330e Mon Sep 17 00:00:00 2001 From: dkf Date: Sat, 24 Oct 2015 16:01:56 +0000 Subject: A more lenient test; different platforms are more diverse in their correct output. --- tests/platform.test | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/tests/platform.test b/tests/platform.test index b5ddc48..51b9067 100644 --- a/tests/platform.test +++ b/tests/platform.test @@ -60,10 +60,10 @@ test platform-3.1 {CPU ID on Windows/UNIX} \ package require platform test platform-4.1 {format of platform::identify result} -match regexp -body { platform::identify -} -result {^[^-]+-[^-]+$} +} -result {^([^-]+-)+[^-]+$} test platform-4.2 {format of platform::generic result} -match regexp -body { platform::generic -} -result {^[^-]+-[^-]+$} +} -result {^([^-]+-)+[^-]+$} # cleanup cleanupTests -- cgit v0.12 From e36e1a062d95b44a81c16c2435d235196ca8aa4c Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Sun, 25 Oct 2015 19:39:38 +0000 Subject: Remove use of HAVE_USLEEP. It isn't use anywhere any more. --- unix/configure.in | 6 ------ unix/tcl.m4 | 42 ------------------------------------------ 2 files changed, 48 deletions(-) diff --git a/unix/configure.in b/unix/configure.in index 9c93024..6c7cc09 100644 --- a/unix/configure.in +++ b/unix/configure.in @@ -479,12 +479,6 @@ if test $tcl_cv_putenv_copy = yes; then fi #-------------------------------------------------------------------- -# Check for support of usleep function -#-------------------------------------------------------------------- - -SC_ENABLE_USLEEP - -#-------------------------------------------------------------------- # Check for support of nl_langinfo function #-------------------------------------------------------------------- diff --git a/unix/tcl.m4 b/unix/tcl.m4 index d7d6a7b..7a0b677 100644 --- a/unix/tcl.m4 +++ b/unix/tcl.m4 @@ -808,48 +808,6 @@ AC_DEFUN([SC_ENABLE_SYMBOLS], [ ]) #------------------------------------------------------------------------ -# SC_ENABLE_USLEEP -- -# -# Allows use of usleep function. -# This is only relevant for Unix. -# -# Arguments: -# none -# -# Results: -# -# Adds the following arguments to configure: -# --enable-usleep=yes|no (default is yes) -# -# Defines the following vars: -# HAVE_USLEEP Triggers use of usleep if defined. -#------------------------------------------------------------------------ - -AC_DEFUN([SC_ENABLE_USLEEP], [ - AC_ARG_ENABLE(usleep, - AC_HELP_STRING([--enable-usleep], - [use usleep if possible to sleep, otherwise use Tcl_Sleep (default: on)]), - [usleep_ok=$enableval], [usleep_ok=yes]) - - HAVE_USLEEP=0 - if test "$usleep_ok" = "yes"; then - AC_CHECK_HEADER(unistd.h,[usleep_ok=yes],[usleep_ok=no]) - fi - AC_MSG_CHECKING([whether to use usleep]) - if test "$usleep_ok" = "yes"; then - AC_CACHE_VAL(tcl_cv_usleep_h, [ - AC_TRY_COMPILE([#include ], [usleep(0);], - [tcl_cv_usleep_h=yes],[tcl_cv_usleep_h=no])]) - AC_MSG_RESULT([$tcl_cv_usleep_h]) - if test $tcl_cv_usleep_h = yes; then - AC_DEFINE(HAVE_USLEEP, 1, [Do we have usleep()?]) - fi - else - AC_MSG_RESULT([$usleep_ok]) - fi -]) - -#------------------------------------------------------------------------ # SC_ENABLE_LANGINFO -- # # Allows use of modern nl_langinfo check for better l10n. -- cgit v0.12 From bbe3301cc5fb0ed82fefb30d8f810ea5492fd58d Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Sun, 25 Oct 2015 22:45:39 +0000 Subject: re-generate "configure", both for unix and win --- unix/configure | 231 --------------------------------------------------------- win/configure | 8 +- 2 files changed, 4 insertions(+), 235 deletions(-) diff --git a/unix/configure b/unix/configure index bbac11d..692b801 100755 --- a/unix/configure +++ b/unix/configure @@ -857,8 +857,6 @@ Optional Features: --enable-load allow dynamic loading and "load" command (default: on) --enable-symbols build with debugging symbols (default: off) - --enable-usleep use usleep if possible to sleep, otherwise use - Tcl_Sleep (default: on) --enable-langinfo use nl_langinfo if possible to determine encoding at startup, otherwise use old heuristic (default: on) --enable-dll-unloading enable the 'unload' command (default: on) @@ -16434,235 +16432,6 @@ _ACEOF fi #-------------------------------------------------------------------- -# Check for support of usleep function -#-------------------------------------------------------------------- - - - # Check whether --enable-usleep or --disable-usleep was given. -if test "${enable_usleep+set}" = set; then - enableval="$enable_usleep" - usleep_ok=$enableval -else - usleep_ok=yes -fi; - - HAVE_USLEEP=0 - if test "$usleep_ok" = "yes"; then - if test "${ac_cv_header_unistd_h+set}" = set; then - echo "$as_me:$LINENO: checking for unistd.h" >&5 -echo $ECHO_N "checking for unistd.h... $ECHO_C" >&6 -if test "${ac_cv_header_unistd_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: $ac_cv_header_unistd_h" >&5 -echo "${ECHO_T}$ac_cv_header_unistd_h" >&6 -else - # Is the header compilable? -echo "$as_me:$LINENO: checking unistd.h usability" >&5 -echo $ECHO_N "checking unistd.h usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_header_compiler=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 - -# Is the header present? -echo "$as_me:$LINENO: checking unistd.h presence" >&5 -echo $ECHO_N "checking unistd.h presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -_ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - - ac_header_preproc=no -fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 - -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: unistd.h: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: unistd.h: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: unistd.h: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: unistd.h: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: unistd.h: present but cannot be compiled" >&5 -echo "$as_me: WARNING: unistd.h: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: unistd.h: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: unistd.h: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: unistd.h: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: unistd.h: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: unistd.h: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: unistd.h: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: unistd.h: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: unistd.h: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: unistd.h: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: unistd.h: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for unistd.h" >&5 -echo $ECHO_N "checking for unistd.h... $ECHO_C" >&6 -if test "${ac_cv_header_unistd_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - ac_cv_header_unistd_h=$ac_header_preproc -fi -echo "$as_me:$LINENO: result: $ac_cv_header_unistd_h" >&5 -echo "${ECHO_T}$ac_cv_header_unistd_h" >&6 - -fi -if test $ac_cv_header_unistd_h = yes; then - usleep_ok=yes -else - usleep_ok=no -fi - - - fi - echo "$as_me:$LINENO: checking whether to use usleep" >&5 -echo $ECHO_N "checking whether to use usleep... $ECHO_C" >&6 - if test "$usleep_ok" = "yes"; then - if test "${tcl_cv_usleep_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -int -main () -{ -usleep(0); - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_usleep_h=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_usleep_h=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -fi - - echo "$as_me:$LINENO: result: $tcl_cv_usleep_h" >&5 -echo "${ECHO_T}$tcl_cv_usleep_h" >&6 - if test $tcl_cv_usleep_h = yes; then - -cat >>confdefs.h <<\_ACEOF -#define HAVE_USLEEP 1 -_ACEOF - - fi - else - echo "$as_me:$LINENO: result: $usleep_ok" >&5 -echo "${ECHO_T}$usleep_ok" >&6 - fi - - -#-------------------------------------------------------------------- # Check for support of nl_langinfo function #-------------------------------------------------------------------- diff --git a/win/configure b/win/configure index dc03e62..63d6765 100755 --- a/win/configure +++ b/win/configure @@ -4775,21 +4775,21 @@ TCL_SHARED_LIB_SUFFIX="\${NODOT_VERSION}${DLLSUFFIX}" TCL_UNSHARED_LIB_SUFFIX="\${NODOT_VERSION}${LIBSUFFIX}" TCL_EXPORT_FILE_SUFFIX="\${NODOT_VERSION}${LIBSUFFIX}" -eval "TCL_SRC_DIR=\"`cd $srcdir/..; pwd`\"" +eval "TCL_SRC_DIR=\"`cd $srcdir/..; $CYGPATH $(pwd)`\"" eval "TCL_DLL_FILE=tcl${VER}${DLLSUFFIX}" eval "TCL_LIB_FILE=${LIBPREFIX}tcl$VER${LIBSUFFIX}" eval "TCL_LIB_FLAG=\"-ltcl${VER}${LIBFLAGSUFFIX}\"" -eval "TCL_BUILD_LIB_SPEC=\"-L`pwd` ${TCL_LIB_FLAG}\"" +eval "TCL_BUILD_LIB_SPEC=\"-L`$CYGPATH $(pwd)` ${TCL_LIB_FLAG}\"" eval "TCL_LIB_SPEC=\"-L${libdir} ${TCL_LIB_FLAG}\"" eval "TCL_STUB_LIB_FILE=\"${LIBPREFIX}tclstub${VER}${LIBSUFFIX}\"" eval "TCL_STUB_LIB_FLAG=\"-ltclstub${VER}${LIBFLAGSUFFIX}\"" -eval "TCL_BUILD_STUB_LIB_SPEC=\"-L`pwd` ${TCL_STUB_LIB_FLAG}\"" +eval "TCL_BUILD_STUB_LIB_SPEC=\"-L`$CYGPATH $(pwd)` ${TCL_STUB_LIB_FLAG}\"" eval "TCL_STUB_LIB_SPEC=\"-L${libdir} ${TCL_STUB_LIB_FLAG}\"" -eval "TCL_BUILD_STUB_LIB_PATH=\"`pwd`/${TCL_STUB_LIB_FILE}\"" +eval "TCL_BUILD_STUB_LIB_PATH=\"`$CYGPATH $(pwd)`/${TCL_STUB_LIB_FILE}\"" eval "TCL_STUB_LIB_PATH=\"${libdir}/${TCL_STUB_LIB_FILE}\"" # Install time header dir can be set via --includedir -- cgit v0.12 From 18425b42d186aee1a919721890d7ffeb875137c3 Mon Sep 17 00:00:00 2001 From: venkat Date: Tue, 27 Oct 2015 23:16:06 +0000 Subject: Update to tzdata2015g from ietf --- library/tzdata/America/Fort_Nelson | 151 +++++++++++++++++++++++++++++++++++++ library/tzdata/Europe/Istanbul | 3 +- library/tzdata/Pacific/Fiji | 72 +++++++++--------- library/tzdata/Pacific/Norfolk | 3 + 4 files changed, 192 insertions(+), 37 deletions(-) create mode 100644 library/tzdata/America/Fort_Nelson diff --git a/library/tzdata/America/Fort_Nelson b/library/tzdata/America/Fort_Nelson new file mode 100644 index 0000000..d819368 --- /dev/null +++ b/library/tzdata/America/Fort_Nelson @@ -0,0 +1,151 @@ +# created by tools/tclZIC.tcl - do not edit + +set TZData(:America/Fort_Nelson) { + {-9223372036854775808 -29447 0 LMT} + {-2713880953 -28800 0 PST} + {-1632060000 -25200 1 PDT} + {-1615129200 -28800 0 PST} + {-880207200 -25200 1 PWT} + {-769395600 -25200 1 PPT} + {-765385200 -28800 0 PST} + {-757353600 -28800 0 PST} + {-725817600 -28800 0 PST} + {-715788000 -25200 1 PDT} + {-702486000 -28800 0 PST} + {-684338400 -25200 1 PDT} + {-671036400 -28800 0 PST} + {-652888800 -25200 1 PDT} + {-639586800 -28800 0 PST} + {-620834400 -25200 1 PDT} + {-608137200 -28800 0 PST} + {-589384800 -25200 1 PDT} + {-576082800 -28800 0 PST} + {-557935200 -25200 1 PDT} + {-544633200 -28800 0 PST} + {-526485600 -25200 1 PDT} + {-513183600 -28800 0 PST} + {-495036000 -25200 1 PDT} + {-481734000 -28800 0 PST} + {-463586400 -25200 1 PDT} + {-450284400 -28800 0 PST} + {-431532000 -25200 1 PDT} + {-418230000 -28800 0 PST} + {-400082400 -25200 1 PDT} + {-386780400 -28800 0 PST} + {-368632800 -25200 1 PDT} + {-355330800 -28800 0 PST} + {-337183200 -25200 1 PDT} + {-323881200 -28800 0 PST} + {-305733600 -25200 1 PDT} + {-292431600 -28800 0 PST} + {-273679200 -25200 1 PDT} + {-260982000 -28800 0 PST} + {-242229600 -25200 1 PDT} + {-226508400 -28800 0 PST} + {-210780000 -25200 1 PDT} + {-195058800 -28800 0 PST} + {-179330400 -25200 1 PDT} + {-163609200 -28800 0 PST} + {-147880800 -25200 1 PDT} + {-131554800 -28800 0 PST} + {-116431200 -25200 1 PDT} + {-100105200 -28800 0 PST} + {-84376800 -25200 1 PDT} + {-68655600 -28800 0 PST} + {-52927200 -25200 1 PDT} + {-37206000 -28800 0 PST} + {-21477600 -25200 1 PDT} + {-5756400 -28800 0 PST} + {9972000 -25200 1 PDT} + {25693200 -28800 0 PST} + {41421600 -25200 1 PDT} + {57747600 -28800 0 PST} + {73476000 -25200 1 PDT} + {89197200 -28800 0 PST} + {104925600 -25200 1 PDT} + {120646800 -28800 0 PST} + {136375200 -25200 1 PDT} + {152096400 -28800 0 PST} + {167824800 -25200 1 PDT} + {183546000 -28800 0 PST} + {199274400 -25200 1 PDT} + {215600400 -28800 0 PST} + {230724000 -25200 1 PDT} + {247050000 -28800 0 PST} + {262778400 -25200 1 PDT} + {278499600 -28800 0 PST} + {294228000 -25200 1 PDT} + {309949200 -28800 0 PST} + {325677600 -25200 1 PDT} + {341398800 -28800 0 PST} + {357127200 -25200 1 PDT} + {372848400 -28800 0 PST} + {388576800 -25200 1 PDT} + {404902800 -28800 0 PST} + {420026400 -25200 1 PDT} + {436352400 -28800 0 PST} + {452080800 -25200 1 PDT} + {467802000 -28800 0 PST} + {483530400 -25200 1 PDT} + {499251600 -28800 0 PST} + {514980000 -25200 1 PDT} + {530701200 -28800 0 PST} + {536486400 -28800 0 PST} + {544615200 -25200 1 PDT} + {562150800 -28800 0 PST} + {576064800 -25200 1 PDT} + {594205200 -28800 0 PST} + {607514400 -25200 1 PDT} + {625654800 -28800 0 PST} + {638964000 -25200 1 PDT} + {657104400 -28800 0 PST} + {671018400 -25200 1 PDT} + {688554000 -28800 0 PST} + {702468000 -25200 1 PDT} + {720003600 -28800 0 PST} + {733917600 -25200 1 PDT} + {752058000 -28800 0 PST} + {765367200 -25200 1 PDT} + {783507600 -28800 0 PST} + {796816800 -25200 1 PDT} + {814957200 -28800 0 PST} + {828871200 -25200 1 PDT} + {846406800 -28800 0 PST} + {860320800 -25200 1 PDT} + {877856400 -28800 0 PST} + {891770400 -25200 1 PDT} + {909306000 -28800 0 PST} + {923220000 -25200 1 PDT} + {941360400 -28800 0 PST} + {954669600 -25200 1 PDT} + {972810000 -28800 0 PST} + {986119200 -25200 1 PDT} + {1004259600 -28800 0 PST} + {1018173600 -25200 1 PDT} + {1035709200 -28800 0 PST} + {1049623200 -25200 1 PDT} + {1067158800 -28800 0 PST} + {1081072800 -25200 1 PDT} + {1099213200 -28800 0 PST} + {1112522400 -25200 1 PDT} + {1130662800 -28800 0 PST} + {1143972000 -25200 1 PDT} + {1162112400 -28800 0 PST} + {1173607200 -25200 1 PDT} + {1194166800 -28800 0 PST} + {1205056800 -25200 1 PDT} + {1225616400 -28800 0 PST} + {1236506400 -25200 1 PDT} + {1257066000 -28800 0 PST} + {1268560800 -25200 1 PDT} + {1289120400 -28800 0 PST} + {1300010400 -25200 1 PDT} + {1320570000 -28800 0 PST} + {1331460000 -25200 1 PDT} + {1352019600 -28800 0 PST} + {1362909600 -25200 1 PDT} + {1383469200 -28800 0 PST} + {1394359200 -25200 1 PDT} + {1414918800 -28800 0 PST} + {1425808800 -25200 0 MST} +} diff --git a/library/tzdata/Europe/Istanbul b/library/tzdata/Europe/Istanbul index 7cb4820..8eadbc3 100644 --- a/library/tzdata/Europe/Istanbul +++ b/library/tzdata/Europe/Istanbul @@ -133,7 +133,8 @@ set TZData(:Europe/Istanbul) { {1396227600 10800 0 EEST} {1414285200 7200 0 EET} {1427590800 10800 1 EEST} - {1445734800 7200 0 EET} + {1445734800 10800 1 EEST} + {1446944400 7200 0 EET} {1459040400 10800 1 EEST} {1477789200 7200 0 EET} {1490490000 10800 1 EEST} diff --git a/library/tzdata/Pacific/Fiji b/library/tzdata/Pacific/Fiji index 4aae330..8f8b12f 100644 --- a/library/tzdata/Pacific/Fiji +++ b/library/tzdata/Pacific/Fiji @@ -20,9 +20,9 @@ set TZData(:Pacific/Fiji) { {1414850400 46800 1 FJST} {1421503200 43200 0 FJT} {1446300000 46800 1 FJST} - {1453557600 43200 0 FJT} + {1452952800 43200 0 FJT} {1478354400 46800 1 FJST} - {1485007200 43200 0 FJT} + {1484402400 43200 0 FJT} {1509804000 46800 1 FJST} {1516456800 43200 0 FJT} {1541253600 46800 1 FJST} @@ -30,11 +30,11 @@ set TZData(:Pacific/Fiji) { {1572703200 46800 1 FJST} {1579356000 43200 0 FJT} {1604152800 46800 1 FJST} - {1611410400 43200 0 FJT} + {1610805600 43200 0 FJT} {1636207200 46800 1 FJST} - {1642860000 43200 0 FJT} + {1642255200 43200 0 FJT} {1667656800 46800 1 FJST} - {1674309600 43200 0 FJT} + {1673704800 43200 0 FJT} {1699106400 46800 1 FJST} {1705759200 43200 0 FJT} {1730556000 46800 1 FJST} @@ -42,9 +42,9 @@ set TZData(:Pacific/Fiji) { {1762005600 46800 1 FJST} {1768658400 43200 0 FJT} {1793455200 46800 1 FJST} - {1800712800 43200 0 FJT} + {1800108000 43200 0 FJT} {1825509600 46800 1 FJST} - {1832162400 43200 0 FJT} + {1831557600 43200 0 FJT} {1856959200 46800 1 FJST} {1863612000 43200 0 FJT} {1888408800 46800 1 FJST} @@ -54,9 +54,9 @@ set TZData(:Pacific/Fiji) { {1951308000 46800 1 FJST} {1957960800 43200 0 FJT} {1983362400 46800 1 FJST} - {1990015200 43200 0 FJT} + {1989410400 43200 0 FJT} {2014812000 46800 1 FJST} - {2021464800 43200 0 FJT} + {2020860000 43200 0 FJT} {2046261600 46800 1 FJST} {2052914400 43200 0 FJT} {2077711200 46800 1 FJST} @@ -64,11 +64,11 @@ set TZData(:Pacific/Fiji) { {2109160800 46800 1 FJST} {2115813600 43200 0 FJT} {2140610400 46800 1 FJST} - {2147868000 43200 0 FJT} + {2147263200 43200 0 FJT} {2172664800 46800 1 FJST} - {2179317600 43200 0 FJT} + {2178712800 43200 0 FJT} {2204114400 46800 1 FJST} - {2210767200 43200 0 FJT} + {2210162400 43200 0 FJT} {2235564000 46800 1 FJST} {2242216800 43200 0 FJT} {2267013600 46800 1 FJST} @@ -76,9 +76,9 @@ set TZData(:Pacific/Fiji) { {2298463200 46800 1 FJST} {2305116000 43200 0 FJT} {2329912800 46800 1 FJST} - {2337170400 43200 0 FJT} + {2336565600 43200 0 FJT} {2361967200 46800 1 FJST} - {2368620000 43200 0 FJT} + {2368015200 43200 0 FJT} {2393416800 46800 1 FJST} {2400069600 43200 0 FJT} {2424866400 46800 1 FJST} @@ -86,11 +86,11 @@ set TZData(:Pacific/Fiji) { {2456316000 46800 1 FJST} {2462968800 43200 0 FJT} {2487765600 46800 1 FJST} - {2495023200 43200 0 FJT} + {2494418400 43200 0 FJT} {2519820000 46800 1 FJST} - {2526472800 43200 0 FJT} + {2525868000 43200 0 FJT} {2551269600 46800 1 FJST} - {2557922400 43200 0 FJT} + {2557317600 43200 0 FJT} {2582719200 46800 1 FJST} {2589372000 43200 0 FJT} {2614168800 46800 1 FJST} @@ -98,9 +98,9 @@ set TZData(:Pacific/Fiji) { {2645618400 46800 1 FJST} {2652271200 43200 0 FJT} {2677068000 46800 1 FJST} - {2684325600 43200 0 FJT} + {2683720800 43200 0 FJT} {2709122400 46800 1 FJST} - {2715775200 43200 0 FJT} + {2715170400 43200 0 FJT} {2740572000 46800 1 FJST} {2747224800 43200 0 FJT} {2772021600 46800 1 FJST} @@ -110,9 +110,9 @@ set TZData(:Pacific/Fiji) { {2834920800 46800 1 FJST} {2841573600 43200 0 FJT} {2866975200 46800 1 FJST} - {2873628000 43200 0 FJT} + {2873023200 43200 0 FJT} {2898424800 46800 1 FJST} - {2905077600 43200 0 FJT} + {2904472800 43200 0 FJT} {2929874400 46800 1 FJST} {2936527200 43200 0 FJT} {2961324000 46800 1 FJST} @@ -120,11 +120,11 @@ set TZData(:Pacific/Fiji) { {2992773600 46800 1 FJST} {2999426400 43200 0 FJT} {3024223200 46800 1 FJST} - {3031480800 43200 0 FJT} + {3030876000 43200 0 FJT} {3056277600 46800 1 FJST} - {3062930400 43200 0 FJT} + {3062325600 43200 0 FJT} {3087727200 46800 1 FJST} - {3094380000 43200 0 FJT} + {3093775200 43200 0 FJT} {3119176800 46800 1 FJST} {3125829600 43200 0 FJT} {3150626400 46800 1 FJST} @@ -132,9 +132,9 @@ set TZData(:Pacific/Fiji) { {3182076000 46800 1 FJST} {3188728800 43200 0 FJT} {3213525600 46800 1 FJST} - {3220783200 43200 0 FJT} + {3220178400 43200 0 FJT} {3245580000 46800 1 FJST} - {3252232800 43200 0 FJT} + {3251628000 43200 0 FJT} {3277029600 46800 1 FJST} {3283682400 43200 0 FJT} {3308479200 46800 1 FJST} @@ -142,11 +142,11 @@ set TZData(:Pacific/Fiji) { {3339928800 46800 1 FJST} {3346581600 43200 0 FJT} {3371378400 46800 1 FJST} - {3378636000 43200 0 FJT} + {3378031200 43200 0 FJT} {3403432800 46800 1 FJST} - {3410085600 43200 0 FJT} + {3409480800 43200 0 FJT} {3434882400 46800 1 FJST} - {3441535200 43200 0 FJT} + {3440930400 43200 0 FJT} {3466332000 46800 1 FJST} {3472984800 43200 0 FJT} {3497781600 46800 1 FJST} @@ -154,9 +154,9 @@ set TZData(:Pacific/Fiji) { {3529231200 46800 1 FJST} {3535884000 43200 0 FJT} {3560680800 46800 1 FJST} - {3567938400 43200 0 FJT} + {3567333600 43200 0 FJT} {3592735200 46800 1 FJST} - {3599388000 43200 0 FJT} + {3598783200 43200 0 FJT} {3624184800 46800 1 FJST} {3630837600 43200 0 FJT} {3655634400 46800 1 FJST} @@ -166,9 +166,9 @@ set TZData(:Pacific/Fiji) { {3718533600 46800 1 FJST} {3725186400 43200 0 FJT} {3750588000 46800 1 FJST} - {3757240800 43200 0 FJT} + {3756636000 43200 0 FJT} {3782037600 46800 1 FJST} - {3788690400 43200 0 FJT} + {3788085600 43200 0 FJT} {3813487200 46800 1 FJST} {3820140000 43200 0 FJT} {3844936800 46800 1 FJST} @@ -176,11 +176,11 @@ set TZData(:Pacific/Fiji) { {3876386400 46800 1 FJST} {3883039200 43200 0 FJT} {3907836000 46800 1 FJST} - {3915093600 43200 0 FJT} + {3914488800 43200 0 FJT} {3939890400 46800 1 FJST} - {3946543200 43200 0 FJT} + {3945938400 43200 0 FJT} {3971340000 46800 1 FJST} - {3977992800 43200 0 FJT} + {3977388000 43200 0 FJT} {4002789600 46800 1 FJST} {4009442400 43200 0 FJT} {4034239200 46800 1 FJST} diff --git a/library/tzdata/Pacific/Norfolk b/library/tzdata/Pacific/Norfolk index a8fac15..b12ab8c 100644 --- a/library/tzdata/Pacific/Norfolk +++ b/library/tzdata/Pacific/Norfolk @@ -4,4 +4,7 @@ set TZData(:Pacific/Norfolk) { {-9223372036854775808 40312 0 LMT} {-2177493112 40320 0 NMT} {-599656320 41400 0 NFT} + {152029800 45000 1 NFST} + {162912600 41400 0 NFT} + {1443882600 39600 0 NFT} } -- cgit v0.12 From d2b7a7797a402493c3e257f8c83b27111c0770c0 Mon Sep 17 00:00:00 2001 From: dkf Date: Wed, 28 Oct 2015 21:15:21 +0000 Subject: Expose some of the TclBN operations through the internal API, so clients of the bignum code don't need to use tclTomMath.h directly. --- generic/tclInt.h | 7 +------ generic/tclTomMath.decls | 23 +++++++++++++++++++---- 2 files changed, 20 insertions(+), 10 deletions(-) diff --git a/generic/tclInt.h b/generic/tclInt.h index 356d250..f9d2edf 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -4435,17 +4435,12 @@ MODULE_SCOPE void TclDbInitNewObj(Tcl_Obj *objPtr, const char *file, /* *---------------------------------------------------------------------- * - * Core procedures added to libtommath for bignum manipulation. + * Core procedure added to libtommath for bignum manipulation. * *---------------------------------------------------------------------- */ MODULE_SCOPE Tcl_PackageInitProc TclTommath_Init; -MODULE_SCOPE void TclBNInitBignumFromLong(mp_int *bignum, long initVal); -MODULE_SCOPE void TclBNInitBignumFromWideInt(mp_int *bignum, - Tcl_WideInt initVal); -MODULE_SCOPE void TclBNInitBignumFromWideUInt(mp_int *bignum, - Tcl_WideUInt initVal); /* *---------------------------------------------------------------------- diff --git a/generic/tclTomMath.decls b/generic/tclTomMath.decls index ea3abb1..8d9e05f 100644 --- a/generic/tclTomMath.decls +++ b/generic/tclTomMath.decls @@ -1,9 +1,8 @@ # tclTomMath.decls -- # -# This file contains the declarations for the functions in -# 'libtommath' that are contained within the Tcl library. -# This file is used to generate the 'tclTomMathDecls.h' and -# 'tclTomMathStub.c' files. +# This file contains the declarations for the functions in 'libtommath' +# that are contained within the Tcl library. This file is used to +# generate the 'tclTomMathDecls.h' and 'tclTomMathStub.c' files. # # If you edit this file, advance the revision number (and the epoch # if the new stubs are not backward compatible) in tclTomMathDecls.h @@ -221,3 +220,19 @@ declare 62 { declare 63 { int TclBN_mp_cnt_lsb(const mp_int *a) } + +# Formerly internal API to allow initialisation of bignums without knowing the +# typedefs of how a bignum works internally. +declare 64 { + void TclBNInitBignumFromLong(mp_int *bignum, long initVal) +} +declare 65 { + void TclBNInitBignumFromWideInt(mp_int *bignum, Tcl_WideInt initVal) +} +declare 66 { + void TclBNInitBignumFromWideUInt(mp_int *bignum, Tcl_WideUInt initVal) +} + +# Local Variables: +# mode: tcl +# End: -- cgit v0.12 From 573cabc6d240f1e84a271373810ae254a2dd4791 Mon Sep 17 00:00:00 2001 From: dkf Date: Wed, 28 Oct 2015 21:15:52 +0000 Subject: make genstubs --- generic/tclStubInit.c | 3 +++ generic/tclTomMathDecls.h | 17 +++++++++++++++++ 2 files changed, 20 insertions(+) diff --git a/generic/tclStubInit.c b/generic/tclStubInit.c index 7d44163..5b7a1cd 100644 --- a/generic/tclStubInit.c +++ b/generic/tclStubInit.c @@ -746,6 +746,9 @@ const TclTomMathStubs tclTomMathStubs = { TclBN_mp_init_set_int, /* 61 */ TclBN_mp_set_int, /* 62 */ TclBN_mp_cnt_lsb, /* 63 */ + TclBNInitBignumFromLong, /* 64 */ + TclBNInitBignumFromWideInt, /* 65 */ + TclBNInitBignumFromWideUInt, /* 66 */ }; static const TclStubHooks tclStubHooks = { diff --git a/generic/tclTomMathDecls.h b/generic/tclTomMathDecls.h index 69b095c..2ce9d5a 100644 --- a/generic/tclTomMathDecls.h +++ b/generic/tclTomMathDecls.h @@ -279,6 +279,14 @@ EXTERN int TclBN_mp_init_set_int(mp_int *a, unsigned long i); EXTERN int TclBN_mp_set_int(mp_int *a, unsigned long i); /* 63 */ EXTERN int TclBN_mp_cnt_lsb(const mp_int *a); +/* 64 */ +EXTERN void TclBNInitBignumFromLong(mp_int *bignum, long initVal); +/* 65 */ +EXTERN void TclBNInitBignumFromWideInt(mp_int *bignum, + Tcl_WideInt initVal); +/* 66 */ +EXTERN void TclBNInitBignumFromWideUInt(mp_int *bignum, + Tcl_WideUInt initVal); typedef struct TclTomMathStubs { int magic; @@ -348,6 +356,9 @@ typedef struct TclTomMathStubs { int (*tclBN_mp_init_set_int) (mp_int *a, unsigned long i); /* 61 */ int (*tclBN_mp_set_int) (mp_int *a, unsigned long i); /* 62 */ int (*tclBN_mp_cnt_lsb) (const mp_int *a); /* 63 */ + void (*tclBNInitBignumFromLong) (mp_int *bignum, long initVal); /* 64 */ + void (*tclBNInitBignumFromWideInt) (mp_int *bignum, Tcl_WideInt initVal); /* 65 */ + void (*tclBNInitBignumFromWideUInt) (mp_int *bignum, Tcl_WideUInt initVal); /* 66 */ } TclTomMathStubs; extern const TclTomMathStubs *tclTomMathStubsPtr; @@ -490,6 +501,12 @@ extern const TclTomMathStubs *tclTomMathStubsPtr; (tclTomMathStubsPtr->tclBN_mp_set_int) /* 62 */ #define TclBN_mp_cnt_lsb \ (tclTomMathStubsPtr->tclBN_mp_cnt_lsb) /* 63 */ +#define TclBNInitBignumFromLong \ + (tclTomMathStubsPtr->tclBNInitBignumFromLong) /* 64 */ +#define TclBNInitBignumFromWideInt \ + (tclTomMathStubsPtr->tclBNInitBignumFromWideInt) /* 65 */ +#define TclBNInitBignumFromWideUInt \ + (tclTomMathStubsPtr->tclBNInitBignumFromWideUInt) /* 66 */ #endif /* defined(USE_TCL_STUBS) */ -- cgit v0.12 From c5b0b72ed7cbfd413896d9c9b0cb7bdcf521fc53 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 10 Nov 2015 16:31:29 +0000 Subject: [261a8a79f0] Integer overflow leads to segfault. --- generic/tclIO.c | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/generic/tclIO.c b/generic/tclIO.c index 9a4735f..7bc849e 100644 --- a/generic/tclIO.c +++ b/generic/tclIO.c @@ -5938,7 +5938,7 @@ TranslateInputEOL( break; default: /* In other modes, at most 2 src bytes become a dst byte. */ - if (srcLen > 2 * dstLen) { + if (srcLen/2 > dstLen) { srcLen = 2 * dstLen; } break; -- cgit v0.12 From f84d09bdd759fbee98108d0a097f322255fdf0e3 Mon Sep 17 00:00:00 2001 From: max Date: Wed, 11 Nov 2015 09:56:41 +0000 Subject: Remove unused calculation of the result set size from TclCreateSocketAddress() --- generic/tclIOSock.c | 7 +------ 1 file changed, 1 insertion(+), 6 deletions(-) diff --git a/generic/tclIOSock.c b/generic/tclIOSock.c index d578d19..c5b7d28 100644 --- a/generic/tclIOSock.c +++ b/generic/tclIOSock.c @@ -171,7 +171,7 @@ TclCreateSocketAddress( char *native = NULL, portbuf[TCL_INTEGER_SPACE], *portstring; const char *family = NULL; Tcl_DString ds; - int result, i; + int result; if (host != NULL) { native = Tcl_UtfToExternalDString(NULL, host, -1, &ds); @@ -279,11 +279,6 @@ TclCreateSocketAddress( *addrlist = v4head; } } - i = 0; - for (p = *addrlist; p != NULL; p = p->ai_next) { - i++; - } - return 1; } -- cgit v0.12 From e93e78ae999879629f4db62379c05fd53ca4db57 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 13 Nov 2015 08:40:54 +0000 Subject: Fix [https://www.sqlite.org/src/info/34eb6911afee09e7|34eb6911af], taken over from SQLite: Fix uses of ctype functions (ex: isspace()) on signed characters in test programs and in some obscure extensions. No changes to the core. --- win/nmakehlp.c | 15 ++++++++------- 1 file changed, 8 insertions(+), 7 deletions(-) diff --git a/win/nmakehlp.c b/win/nmakehlp.c index d0edcf0..84cf75c 100644 --- a/win/nmakehlp.c +++ b/win/nmakehlp.c @@ -498,9 +498,10 @@ GetVersionFromFile( p = strstr(szBuffer, match); if (p != NULL) { /* - * Skip to first digit. + * Skip to first digit after the match. */ + p += strlen(match); while (*p && !isdigit(*p)) { ++p; } @@ -605,8 +606,8 @@ SubstituteFile( sp = fopen(substitutions, "rt"); if (sp != NULL) { while (fgets(szBuffer, cbBuffer, sp) != NULL) { - char *ks, *ke, *vs, *ve; - ks = szBuffer; + unsigned char *ks, *ke, *vs, *ve; + ks = (unsigned char*)szBuffer; while (ks && *ks && isspace(*ks)) ++ks; ke = ks; while (ke && *ke && !isspace(*ke)) ++ke; @@ -615,7 +616,7 @@ SubstituteFile( ve = vs; while (ve && *ve && !(*ve == '\r' || *ve == '\n')) ++ve; *ke = 0, *ve = 0; - list_insert(&substPtr, ks, vs); + list_insert(&substPtr, (char*)ks, (char*)vs); } fclose(sp); } @@ -630,11 +631,11 @@ SubstituteFile( } } #endif - + /* * Run the substitutions over each line of the input */ - + while (fgets(szBuffer, cbBuffer, fp) != NULL) { list_item_t *p = NULL; for (p = substPtr; p != NULL; p = p->nextPtr) { @@ -654,7 +655,7 @@ SubstituteFile( } printf(szBuffer); } - + list_free(&substPtr); } fclose(fp); -- cgit v0.12 From 31b415218813b465bfd99d4d79ae85e95c90028f Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 16 Nov 2015 10:32:40 +0000 Subject: =?UTF-8?q?Fix=20--enable-symbols=20build=20on=20Cygwin.=20Reporte?= =?UTF-8?q?d=20by=20Fran=C3=A7ois=20Vogel?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- unix/Makefile.in | 2 +- win/Makefile.in | 2 ++ 2 files changed, 3 insertions(+), 1 deletion(-) diff --git a/unix/Makefile.in b/unix/Makefile.in index 1f2cd77..84d0391 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -560,7 +560,7 @@ ${LIB_FILE}: ${STUB_LIB_FILE} ${OBJS} ${STUB_LIB_FILE}: ${STUB_LIB_OBJS} @if test "x${LIB_FILE}" = "xlibtcl${MAJOR_VERSION}.${MINOR_VERSION}.dll"; then \ - (cd ${TOP_DIR}/win; ${MAKE} libtclstub${MAJOR_VERSION}${MINOR_VERSION}.a); \ + (cd ${TOP_DIR}/win; ${MAKE} winextensions); \ fi rm -f $@ @MAKE_STUB_LIB@ diff --git a/win/Makefile.in b/win/Makefile.in index e9a28c4..ada9448 100644 --- a/win/Makefile.in +++ b/win/Makefile.in @@ -400,6 +400,8 @@ winhelp: $(ROOT_DIR)/tools/man2help.tcl $(MAN2TCL) ./$(TCLSH) "$(ROOT_DIR_NATIVE)"/tools/man2help.tcl tcl "$(VER)" $(TCL_DOCS) hcw /c /e tcl.hpj +winextensions: ${DDE_DLL_FILE} ${REG_DLL_FILE} + $(MAN2TCL): $(ROOT_DIR)/tools/man2tcl.c $(CC) $(CFLAGS_OPTIMIZE) $(MAN2TCLFLAGS) -o $(MAN2TCL) "$(ROOT_DIR_NATIVE)"/tools/man2tcl.c -- cgit v0.12 From 0c95d1d7c2d07e8a422b8af055160e8009e7eeb4 Mon Sep 17 00:00:00 2001 From: oehhar Date: Tue, 17 Nov 2015 17:01:58 +0000 Subject: Spanish translation of example corrected --- doc/msgcat.n | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/doc/msgcat.n b/doc/msgcat.n index 7e46528..34e153d 100644 --- a/doc/msgcat.n +++ b/doc/msgcat.n @@ -384,7 +384,7 @@ the package. For example, a short \fBes.msg\fR might contain: .PP .CS namespace eval ::mypackage { - \fB::msgcat::mcflset\fR "Free Beer!" "Cerveza Gracias!" + \fB::msgcat::mcflset\fR "Free Beer" "Cerveza Gratis" } .CE .SH "RECOMMENDED MESSAGE SETUP FOR PACKAGES" -- cgit v0.12 From 5498d8aaa43327e94fd652a66fde74f4187452db Mon Sep 17 00:00:00 2001 From: oehhar Date: Tue, 17 Nov 2015 17:07:33 +0000 Subject: Spanish translation of example corrected --- doc/msgcat.n | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/doc/msgcat.n b/doc/msgcat.n index bae6dbe..b4f7140 100644 --- a/doc/msgcat.n +++ b/doc/msgcat.n @@ -321,7 +321,7 @@ the package. For example, a short \fBes.msg\fR might contain: .PP .CS namespace eval ::mypackage { - \fB::msgcat::mcflset\fR "Free Beer!" "Cerveza Gracias!" + \fB::msgcat::mcflset\fR "Free Beer" "Cerveza Gratis" } .CE .SH "RECOMMENDED MESSAGE SETUP FOR PACKAGES" -- cgit v0.12 From c32d032cbd7947d9e64e931df87fc4f374d81e7f Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 20 Nov 2015 15:47:30 +0000 Subject: [40f628e8e3] Tcl_ListObjReplace() callers need to handle TCL_ERROR. --- generic/tclCmdIL.c | 10 ++++++++-- generic/tclUtil.c | 8 +++++++- 2 files changed, 15 insertions(+), 3 deletions(-) diff --git a/generic/tclCmdIL.c b/generic/tclCmdIL.c index ea9c1e4..02e5812 100644 --- a/generic/tclCmdIL.c +++ b/generic/tclCmdIL.c @@ -2233,7 +2233,10 @@ Tcl_LinsertObjCmd( Tcl_ListObjAppendElement(NULL, listPtr, objv[3]); } else { - Tcl_ListObjReplace(NULL, listPtr, index, 0, (objc-3), &(objv[3])); + if (TCL_OK != Tcl_ListObjReplace(interp, listPtr, index, 0, + (objc-3), &(objv[3]))) { + return TCL_ERROR; + } } /* @@ -2598,7 +2601,10 @@ Tcl_LreplaceObjCmd( * optimize this case away. */ - Tcl_ListObjReplace(NULL, listPtr, first, numToDelete, objc-4, &(objv[4])); + if (TCL_OK != Tcl_ListObjReplace(interp, listPtr, first, numToDelete, + objc-4, &(objv[4]))) { + return TCL_ERROR; + } /* * Set the interpreter's object result. diff --git a/generic/tclUtil.c b/generic/tclUtil.c index 69d0b17..bc1490e 100644 --- a/generic/tclUtil.c +++ b/generic/tclUtil.c @@ -1791,7 +1791,12 @@ Tcl_ConcatObj( TclListObjGetElements(NULL, objPtr, &listc, &listv); if (listc) { if (resPtr) { - Tcl_ListObjReplace(NULL, resPtr, INT_MAX, 0, listc, listv); + if (TCL_OK != Tcl_ListObjReplace(NULL, resPtr, + INT_MAX, 0, listc, listv)) { + /* Abandon ship! */ + Tcl_DecrRefCount(resPtr); + goto slow; + } } else { resPtr = TclListObjCopy(NULL, objPtr); } @@ -1808,6 +1813,7 @@ Tcl_ConcatObj( * the slow way, using the string representations. */ + slow: /* First try to pre-allocate the size required */ for (i = 0; i < objc; i++) { element = TclGetStringFromObj(objv[i], &elemLength); -- cgit v0.12 From dfbac0054227702fab645e6c03d08c35a8dd9b7c Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 20 Nov 2015 16:58:11 +0000 Subject: [3293874] Simplified fix (not backport). Also detect >LIST_MAX early. --- generic/tclListObj.c | 10 +++++++++- 1 file changed, 9 insertions(+), 1 deletion(-) diff --git a/generic/tclListObj.c b/generic/tclListObj.c index 289cf2d..c4b5cfc 100644 --- a/generic/tclListObj.c +++ b/generic/tclListObj.c @@ -854,8 +854,13 @@ Tcl_ListObjReplace( count = numElems - first; } + if (objc > LIST_MAX - (numElems - count)) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "max length of a Tcl list (%d elements) exceeded", LIST_MAX)); + return TCL_ERROR; + } isShared = (listRepPtr->refCount > 1); - numRequired = numElems - count + objc; + numRequired = numElems - count + objc; /* Known <= LIST_MAX */ for (i = 0; i < objc; i++) { Tcl_IncrRefCount(objv[i]); @@ -906,6 +911,8 @@ Tcl_ListObjReplace( listRepPtr = AttemptNewList(interp, newMax, NULL); if (listRepPtr == NULL) { + listRepPtr = AttemptNewList(interp, numRequired, NULL); + if (listRepPtr == NULL) { for (i = 0; i < objc; i++) { /* See bug 3598580 */ #if TCL_MAJOR_VERSION > 8 @@ -916,6 +923,7 @@ Tcl_ListObjReplace( } return TCL_ERROR; } + } listPtr->internalRep.twoPtrValue.ptr1 = (void *) listRepPtr; listRepPtr->refCount++; -- cgit v0.12 From 6b4bc6bb8d46722088d73bd4a93f51e7fc65dbf4 Mon Sep 17 00:00:00 2001 From: dkf Date: Sat, 21 Nov 2015 22:22:49 +0000 Subject: [3d96b7076e] Prevent crashes when destroying an object's class inside a method call. --- generic/tclOO.c | 20 +++++++++++++++---- generic/tclOODefineCmds.c | 15 ++++++++++---- generic/tclOOInfo.c | 12 +++++++++++ generic/tclOOInt.h | 3 +++ tests/oo.test | 51 +++++++++++++++++++++++++++++++++++++++++++++++ 5 files changed, 93 insertions(+), 8 deletions(-) diff --git a/generic/tclOO.c b/generic/tclOO.c index 84bb85a..5fca220 100644 --- a/generic/tclOO.c +++ b/generic/tclOO.c @@ -951,6 +951,16 @@ ReleaseClassContents( } if (!IsRootClass(oPtr)) { FOREACH(instancePtr, clsPtr->instances) { + int j; + if (instancePtr->selfCls == clsPtr) { + instancePtr->flags |= CLASS_GONE; + } + for(j=0 ; jmixins.num ; j++) { + Class *mixin = instancePtr->mixins.list[j]; + if (mixin == clsPtr) { + instancePtr->mixins.list[j] = NULL; + } + } if (instancePtr != NULL && !IsRoot(instancePtr)) { AddRef(instancePtr); } @@ -1131,12 +1141,14 @@ ObjectNamespaceDeleted( * methods on the object. */ - if (!IsRootObject(oPtr)) { + if (!IsRootObject(oPtr) && !(oPtr->flags & CLASS_GONE)) { TclOORemoveFromInstances(oPtr, oPtr->selfCls); } FOREACH(mixinPtr, oPtr->mixins) { - TclOORemoveFromInstances(oPtr, mixinPtr); + if (mixinPtr) { + TclOORemoveFromInstances(oPtr, mixinPtr); + } } if (i) { ckfree(oPtr->mixins.list); @@ -1908,13 +1920,13 @@ Tcl_CopyObjectInstance( */ FOREACH(mixinPtr, o2Ptr->mixins) { - if (mixinPtr != o2Ptr->selfCls) { + if (mixinPtr && mixinPtr != o2Ptr->selfCls) { TclOORemoveFromInstances(o2Ptr, mixinPtr); } } DUPLICATE(o2Ptr->mixins, oPtr->mixins, Class *); FOREACH(mixinPtr, o2Ptr->mixins) { - if (mixinPtr != o2Ptr->selfCls) { + if (mixinPtr && mixinPtr != o2Ptr->selfCls) { TclOOAddToInstances(o2Ptr, mixinPtr); } } diff --git a/generic/tclOODefineCmds.c b/generic/tclOODefineCmds.c index 85f6c31..c880754 100644 --- a/generic/tclOODefineCmds.c +++ b/generic/tclOODefineCmds.c @@ -323,7 +323,9 @@ TclOOObjectSetMixins( if (numMixins == 0) { if (oPtr->mixins.num != 0) { FOREACH(mixinPtr, oPtr->mixins) { - TclOORemoveFromInstances(oPtr, mixinPtr); + if (mixinPtr) { + TclOORemoveFromInstances(oPtr, mixinPtr); + } } ckfree(oPtr->mixins.list); oPtr->mixins.num = 0; @@ -332,7 +334,7 @@ TclOOObjectSetMixins( } else { if (oPtr->mixins.num != 0) { FOREACH(mixinPtr, oPtr->mixins) { - if (mixinPtr != oPtr->selfCls) { + if (mixinPtr && mixinPtr != oPtr->selfCls) { TclOORemoveFromInstances(oPtr, mixinPtr); } } @@ -1213,6 +1215,9 @@ TclOODefineClassObjCmd( TclOORemoveFromInstances(oPtr, oPtr->selfCls); oPtr->selfCls = clsPtr; TclOOAddToInstances(oPtr, oPtr->selfCls); + if (!(clsPtr->thisPtr->flags & OBJECT_DELETED)) { + oPtr->flags &= ~CLASS_GONE; + } if (oPtr->classPtr != NULL) { BumpGlobalEpoch(interp, oPtr->classPtr); } else { @@ -2509,8 +2514,10 @@ ObjMixinGet( resultObj = Tcl_NewObj(); FOREACH(mixinPtr, oPtr->mixins) { - Tcl_ListObjAppendElement(NULL, resultObj, - TclOOObjectName(interp, mixinPtr->thisPtr)); + if (mixinPtr) { + Tcl_ListObjAppendElement(NULL, resultObj, + TclOOObjectName(interp, mixinPtr->thisPtr)); + } } Tcl_SetObjResult(interp, resultObj); return TCL_OK; diff --git a/generic/tclOOInfo.c b/generic/tclOOInfo.c index 0c22bcf..76eaef5 100644 --- a/generic/tclOOInfo.c +++ b/generic/tclOOInfo.c @@ -196,6 +196,9 @@ InfoObjectClassCmd( } FOREACH(mixinPtr, oPtr->mixins) { + if (!mixinPtr) { + continue; + } if (TclOOIsReachable(o2clsPtr, mixinPtr)) { Tcl_SetObjResult(interp, Tcl_NewIntObj(1)); return TCL_OK; @@ -467,6 +470,9 @@ InfoObjectIsACmd( Class *mixinPtr; FOREACH(mixinPtr, oPtr->mixins) { + if (!mixinPtr) { + continue; + } if (TclOOIsReachable(o2Ptr->classPtr, mixinPtr)) { result = 1; break; @@ -665,6 +671,9 @@ InfoObjectMixinsCmd( resultObj = Tcl_NewObj(); FOREACH(mixinPtr, oPtr->mixins) { + if (!mixinPtr) { + continue; + } Tcl_ListObjAppendElement(NULL, resultObj, TclOOObjectName(interp, mixinPtr->thisPtr)); } @@ -1281,6 +1290,9 @@ InfoClassMixinsCmd( resultObj = Tcl_NewObj(); FOREACH(mixinPtr, clsPtr->mixins) { + if (!mixinPtr) { + continue; + } Tcl_ListObjAppendElement(NULL, resultObj, TclOOObjectName(interp, mixinPtr->thisPtr)); } diff --git a/generic/tclOOInt.h b/generic/tclOOInt.h index 208e32c..b75ffdb 100644 --- a/generic/tclOOInt.h +++ b/generic/tclOOInt.h @@ -193,6 +193,9 @@ typedef struct Object { * destroyed. */ #define DESTRUCTOR_CALLED 2 /* Flag to say that the destructor has been * called. */ +#define CLASS_GONE 4 /* Indicates that the class of this object has + * been deleted, and so the object should not + * attempt to remove itself from its class. */ #define ROOT_OBJECT 0x1000 /* Flag to say that this object is the root of * the class hierarchy and should be treated * specially during teardown. */ diff --git a/tests/oo.test b/tests/oo.test index c83e015..2112f10 100644 --- a/tests/oo.test +++ b/tests/oo.test @@ -638,6 +638,57 @@ test oo-3.9 {Bug 2944404: deleting the object in the destructor} -setup { } -cleanup { cls destroy } -result {in destructor} +test oo-3.10 {Bug 3d96b7076e: killing the object's class in a method call} -setup { + oo::class create Super +} -body { + # Only reliably failed in a memdebug build + oo::class create Cls { + superclass Super + method mthd {} { + [self class] destroy + return ok + } + } + [Cls new] mthd +} -cleanup { + Super destroy +} -result ok +test oo-3.11 {Bug 3d96b7076e: killing the object's class in a method call} -setup { + oo::class create Super + oo::class create Sub { + superclass Super + } +} -body { + # Only reliably failed in a memdebug build + oo::class create Cls { + superclass Super + method mthd {} { + oo::objdefine [self] class Sub + Cls destroy + return ok + } + } + [Cls new] mthd +} -cleanup { + Super destroy +} -result ok +test oo-3.12 {Bug 3d96b7076e: killing the object's class in a method call} -setup { + oo::class create Super +} -body { + # Only reliably failed in a memdebug build + oo::class create Cls { + superclass Super + method mthd {} { + [self class] destroy + return ok + } + } + set o [Super new] + oo::objdefine $o mixin Cls + $o mthd +} -cleanup { + Super destroy +} -result ok test oo-4.1 {basic test of OO functionality: export} { set o [oo::object new] -- cgit v0.12 From 5eeef96ee9e6fbb573a438338662fea9ca7c0efd Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Sun, 22 Nov 2015 21:02:29 +0000 Subject: Cherrypick [812a81812ebf89d2416059d45fabd27e45603f5e|812a81812e]: Turn off NRE asserts by default. About a 5% speedup on [clock format]. --- generic/regc_nfa.c | 12 ++++++------ generic/tclBasic.c | 3 --- generic/tclExecute.c | 3 --- generic/tclInt.h | 4 +++- 4 files changed, 9 insertions(+), 13 deletions(-) diff --git a/generic/regc_nfa.c b/generic/regc_nfa.c index 0e0343e..088c6c0 100644 --- a/generic/regc_nfa.c +++ b/generic/regc_nfa.c @@ -293,7 +293,7 @@ newarc( } } } - + /* no dup, so create the arc */ createarc(nfa, t, co, from, to); } @@ -657,7 +657,7 @@ sortins_cmp( } return 0; } - + /* * sortouts - sort the out arcs of a state by to/color/type */ @@ -2020,7 +2020,7 @@ fixempties( arcarray[arccount++] = a; } } - + /* Reset the tmp fields as we walk back */ nexts = s2->tmp; s2->tmp = NULL; @@ -2042,7 +2042,7 @@ fixempties( } inarcsorig[s->no] = a; } - + FREE(arcarray); FREE(inarcsorig); @@ -2193,7 +2193,7 @@ fixconstraintloops( dropstate(nfa, s); } } - + /* Nothing to do if no remaining constraint arcs */ if (NISERR() || !hasconstraints) { return; @@ -2909,7 +2909,7 @@ carc_cmp( { const struct carc *aa = (const struct carc *) a; const struct carc *bb = (const struct carc *) b; - + if (aa->co < bb->co) { return -1; } diff --git a/generic/tclBasic.c b/generic/tclBasic.c index a09bf10..5c5bc64 100644 --- a/generic/tclBasic.c +++ b/generic/tclBasic.c @@ -22,10 +22,7 @@ #include "tclCompile.h" #include "tommath.h" #include - -#if NRE_ENABLE_ASSERTS #include -#endif #define INTERP_STACK_INITIAL_SIZE 2000 #define CORO_STACK_INITIAL_SIZE 200 diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 7f65262..b10af65 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -20,10 +20,7 @@ #include "tclOOInt.h" #include "tommath.h" #include - -#if NRE_ENABLE_ASSERTS #include -#endif /* * Hack to determine whether we may expect IEEE floating point. The hack is diff --git a/generic/tclInt.h b/generic/tclInt.h index f9d2edf..082fab4 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -4791,7 +4791,9 @@ void Tcl_Panic(const char *, ...) __attribute__((analyzer_noreturn)); */ #define NRE_USE_SMALL_ALLOC 1 /* Only turn off for debugging purposes. */ -#define NRE_ENABLE_ASSERTS 1 +#ifndef NRE_ENABLE_ASSERTS +#define NRE_ENABLE_ASSERTS 0 +#endif /* * This is the main data struct for representing NR commands. It is designed -- cgit v0.12 From 48ac4215cf78865b39eadc4341f8c59def82aa12 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 24 Nov 2015 09:00:27 +0000 Subject: Make ::tcl::tm::roots work for alpha/beta Tcl releases. (backported from "novem", will be needed anyway for whatever future developments) --- library/tm.tcl | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/library/tm.tcl b/library/tm.tcl index 55efda6..66c56a1 100644 --- a/library/tm.tcl +++ b/library/tm.tcl @@ -354,7 +354,7 @@ proc ::tcl::tm::Defaults {} { # Calls 'path add' to paths to the list of module search paths. proc ::tcl::tm::roots {paths} { - lassign [split [package present Tcl] .] major minor + regexp {^(\d+)\.(\d+)} [package present Tcl] - major minor foreach pa $paths { set p [file join $pa tcl$major] for {set n $minor} {$n >= 0} {incr n -1} { -- cgit v0.12 From 81929af166648538e5b049b7d0e1cd2b24906d08 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 24 Nov 2015 15:05:15 +0000 Subject: Fix comments at the top of the *.decls files, which are not correct any more for a long long time. --- generic/tcl.decls | 4 ++-- generic/tclInt.decls | 5 ++--- generic/tclTomMath.decls | 2 +- 3 files changed, 5 insertions(+), 6 deletions(-) diff --git a/generic/tcl.decls b/generic/tcl.decls index 28cee54..92ccdcf 100644 --- a/generic/tcl.decls +++ b/generic/tcl.decls @@ -2,8 +2,8 @@ # # This file contains the declarations for all supported public # functions that are exported by the Tcl library via the stubs table. -# This file is used to generate the tclDecls.h, tclPlatDecls.h, -# tclStub.c, and tclPlatStub.c files. +# This file is used to generate the tclDecls.h, tclPlatDecls.h +# and tclStubInit.c files. # # Copyright (c) 1998-1999 by Scriptics Corporation. # Copyright (c) 2001, 2002 by Kevin B. Kenny. All rights reserved. diff --git a/generic/tclInt.decls b/generic/tclInt.decls index 102d04b..920116c 100644 --- a/generic/tclInt.decls +++ b/generic/tclInt.decls @@ -2,9 +2,8 @@ # # This file contains the declarations for all unsupported # functions that are exported by the Tcl library. This file -# is used to generate the tclIntDecls.h, tclIntPlatDecls.h, -# tclIntStub.c, tclPlatStub.c, tclCompileDecls.h and tclCompileStub.c -# files +# is used to generate the tclIntDecls.h, tclIntPlatDecls.h +# and tclStubInit.c files # # Copyright (c) 1998-1999 by Scriptics Corporation. # Copyright (c) 2001 by Kevin B. Kenny. All rights reserved. diff --git a/generic/tclTomMath.decls b/generic/tclTomMath.decls index 1bfc443..ab39e83 100644 --- a/generic/tclTomMath.decls +++ b/generic/tclTomMath.decls @@ -3,7 +3,7 @@ # This file contains the declarations for the functions in # 'libtommath' that are contained within the Tcl library. # This file is used to generate the 'tclTomMathDecls.h' and -# 'tclTomMathStub.c' files. +# 'tclStubInit.c' files. # # If you edit this file, advance the revision number (and the epoch # if the new stubs are not backward compatible) in tclTomMathDecls.h -- cgit v0.12 From a90dcf7e3dbae2714513cbc09ec978dfcf21aa55 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 26 Nov 2015 11:46:02 +0000 Subject: On cygwin, install libtcl8.5.dll.a in the {prefix}/lib directory. On win32, don't create empty {prefix}/lib/tcl8/8.2 and {prefix}/lib/tcl8/8.3 directories any more during installing. --- unix/configure | 2 +- unix/tcl.m4 | 2 +- win/makefile.vc | 4 ---- 3 files changed, 2 insertions(+), 6 deletions(-) diff --git a/unix/configure b/unix/configure index 692b801..a90aff3 100755 --- a/unix/configure +++ b/unix/configure @@ -8880,7 +8880,7 @@ fi MAKE_LIB='${SHLIB_LD} -o $@ ${OBJS} ${SHLIB_LD_LIBS} ${TCL_SHLIB_LD_EXTRAS} ${TK_SHLIB_LD_EXTRAS} ${LD_SEARCH_FLAGS}' if test "${SHLIB_SUFFIX}" = ".dll"; then - INSTALL_LIB='$(INSTALL_LIBRARY) $(LIB_FILE) "$(BIN_INSTALL_DIR)/$(LIB_FILE)"' + INSTALL_LIB='$(INSTALL_LIBRARY) $(LIB_FILE) "$(BIN_INSTALL_DIR)/$(LIB_FILE)";if test -f $(LIB_FILE).a; then $(INSTALL_DATA) $(LIB_FILE).a "$(LIB_INSTALL_DIR)"; fi;' DLL_INSTALL_DIR="\$(BIN_INSTALL_DIR)" else diff --git a/unix/tcl.m4 b/unix/tcl.m4 index 7a0b677..a7faae5 100644 --- a/unix/tcl.m4 +++ b/unix/tcl.m4 @@ -2069,7 +2069,7 @@ dnl # preprocessing tests use only CPPFLAGS. LIB_SUFFIX=${SHARED_LIB_SUFFIX} MAKE_LIB='${SHLIB_LD} -o [$]@ ${OBJS} ${SHLIB_LD_LIBS} ${TCL_SHLIB_LD_EXTRAS} ${TK_SHLIB_LD_EXTRAS} ${LD_SEARCH_FLAGS}' AS_IF([test "${SHLIB_SUFFIX}" = ".dll"], [ - INSTALL_LIB='$(INSTALL_LIBRARY) $(LIB_FILE) "$(BIN_INSTALL_DIR)/$(LIB_FILE)"' + INSTALL_LIB='$(INSTALL_LIBRARY) $(LIB_FILE) "$(BIN_INSTALL_DIR)/$(LIB_FILE)";if test -f $(LIB_FILE).a; then $(INSTALL_DATA) $(LIB_FILE).a "$(LIB_INSTALL_DIR)"; fi;' DLL_INSTALL_DIR="\$(BIN_INSTALL_DIR)" ], [ INSTALL_LIB='$(INSTALL_LIBRARY) $(LIB_FILE) "$(LIB_INSTALL_DIR)/$(LIB_FILE)"' diff --git a/win/makefile.vc b/win/makefile.vc index 267f53f..8c8ecdf 100644 --- a/win/makefile.vc +++ b/win/makefile.vc @@ -1012,10 +1012,6 @@ install-libraries: tclConfig install-msgs install-tzdata $(MKDIR) "$(SCRIPT_INSTALL_DIR)" @if not exist "$(SCRIPT_INSTALL_DIR)\..\tcl8$(NULL)" \ $(MKDIR) "$(SCRIPT_INSTALL_DIR)\..\tcl8" - @if not exist "$(SCRIPT_INSTALL_DIR)\..\tcl8\8.2$(NULL)" \ - $(MKDIR) "$(SCRIPT_INSTALL_DIR)\..\tcl8\8.2" - @if not exist "$(SCRIPT_INSTALL_DIR)\..\tcl8\8.3$(NULL)" \ - $(MKDIR) "$(SCRIPT_INSTALL_DIR)\..\tcl8\8.3" @if not exist "$(SCRIPT_INSTALL_DIR)\..\tcl8\8.4$(NULL)" \ $(MKDIR) "$(SCRIPT_INSTALL_DIR)\..\tcl8\8.4" @if not exist "$(SCRIPT_INSTALL_DIR)\..\tcl8\8.4\platform$(NULL)" \ -- cgit v0.12 From efe36a3e290e2f47f8bed9ca19569cf46d0079ce Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 30 Nov 2015 18:24:03 +0000 Subject: [32c5740a4d] Have Tcl_ListObjReplace() try to use realloc() for growing when it can do so. --- generic/tclListObj.c | 33 ++++++++++++++++++++++++++++++--- 1 file changed, 30 insertions(+), 3 deletions(-) diff --git a/generic/tclListObj.c b/generic/tclListObj.c index 0dfa845..14b8a14 100644 --- a/generic/tclListObj.c +++ b/generic/tclListObj.c @@ -857,7 +857,7 @@ Tcl_ListObjReplace( { List *listRepPtr; register Tcl_Obj **elemPtrs; - int numElems, numRequired, numAfterLast, start, i, j, isShared; + int needGrow, numElems, numRequired, numAfterLast, start, i, j, isShared; if (Tcl_IsShared(listPtr)) { Tcl_Panic("%s called with shared object", "Tcl_ListObjReplace"); @@ -913,12 +913,39 @@ Tcl_ListObjReplace( } isShared = (listRepPtr->refCount > 1); numRequired = numElems - count + objc; /* Known <= LIST_MAX */ + needGrow = numRequired > listRepPtr->maxElemCount; for (i = 0; i < objc; i++) { Tcl_IncrRefCount(objv[i]); } - if ((numRequired <= listRepPtr->maxElemCount) && !isShared) { + if (needGrow && !isShared) { + /* Try to use realloc */ + List *newPtr = NULL; + int attempt = 2 * numRequired; + if (attempt <= LIST_MAX) { + newPtr = attemptckrealloc(listRepPtr, LIST_SIZE(attempt)); + } + if (newPtr == NULL) { + attempt = numRequired + 1 + TCL_MIN_ELEMENT_GROWTH; + if (attempt > LIST_MAX) { + attempt = LIST_MAX; + } + newPtr = attemptckrealloc(listRepPtr, LIST_SIZE(attempt)); + } + if (newPtr == NULL) { + attempt = numRequired; + newPtr = attemptckrealloc(listRepPtr, LIST_SIZE(attempt)); + } + if (newPtr) { + listRepPtr = newPtr; + listPtr->internalRep.twoPtrValue.ptr1 = listRepPtr; + elemPtrs = &listRepPtr->elements; + listRepPtr->maxElemCount = attempt; + needGrow = numRequired > listRepPtr->maxElemCount; + } + } + if (!needGrow && !isShared) { int shift; /* @@ -955,7 +982,7 @@ Tcl_ListObjReplace( Tcl_Obj **oldPtrs = elemPtrs; int newMax; - if (numRequired > listRepPtr->maxElemCount){ + if (needGrow){ newMax = 2 * numRequired; } else { newMax = listRepPtr->maxElemCount; -- cgit v0.12 From 7b5ffe4a2c27ceb9b41422abe0a3a680dc345244 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 2 Dec 2015 11:02:34 +0000 Subject: Fix 64-bit MSVC build without SDK: If the MSVC version is recent enough, compiling without SDK works fine (provided that the build is configured using "--enable-64bit"). --- win/configure | 12 ++++-------- win/tcl.m4 | 7 ++----- 2 files changed, 6 insertions(+), 13 deletions(-) diff --git a/win/configure b/win/configure index 63d6765..090feaa 100755 --- a/win/configure +++ b/win/configure @@ -3722,15 +3722,11 @@ echo "${ECHO_T}using shared flags" >&6 ;; esac if test ! -d "${PATH64}" ; then - { echo "$as_me:$LINENO: WARNING: Could not find 64-bit $MACHINE SDK to enable 64bit mode" >&5 -echo "$as_me: WARNING: Could not find 64-bit $MACHINE SDK to enable 64bit mode" >&2;} - { echo "$as_me:$LINENO: WARNING: Ensure latest Platform SDK is installed" >&5 -echo "$as_me: WARNING: Ensure latest Platform SDK is installed" >&2;} - do64bit="no" - else - echo "$as_me:$LINENO: result: Using 64-bit $MACHINE mode" >&5 -echo "${ECHO_T} Using 64-bit $MACHINE mode" >&6 + { echo "$as_me:$LINENO: WARNING: Could not find 64-bit $MACHINE SDK" >&5 +echo "$as_me: WARNING: Could not find 64-bit $MACHINE SDK" >&2;} fi + echo "$as_me:$LINENO: result: Using 64-bit $MACHINE mode" >&5 +echo "${ECHO_T} Using 64-bit $MACHINE mode" >&6 fi LIBS="user32.lib advapi32.lib ws2_32.lib" diff --git a/win/tcl.m4 b/win/tcl.m4 index 2795086..006778c 100644 --- a/win/tcl.m4 +++ b/win/tcl.m4 @@ -815,12 +815,9 @@ AC_DEFUN([SC_CONFIG_CFLAGS], [ ;; esac if test ! -d "${PATH64}" ; then - AC_MSG_WARN([Could not find 64-bit $MACHINE SDK to enable 64bit mode]) - AC_MSG_WARN([Ensure latest Platform SDK is installed]) - do64bit="no" - else - AC_MSG_RESULT([ Using 64-bit $MACHINE mode]) + AC_MSG_WARN([Could not find 64-bit $MACHINE SDK]) fi + AC_MSG_RESULT([ Using 64-bit $MACHINE mode]) fi LIBS="user32.lib advapi32.lib ws2_32.lib" -- cgit v0.12 From 003b3000368a5f8752fcee1444cf4ec1cee6fe62 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 11 Dec 2015 10:13:33 +0000 Subject: Fix [c9eb6b0ac01bb8ef96a616c71426a3db4a279bec|c9eb6b0ac0]: ConvertLocalToUTCUsingC fails the first time if TZ is not set --- generic/tclClock.c | 9 +++++---- 1 file changed, 5 insertions(+), 4 deletions(-) diff --git a/generic/tclClock.c b/generic/tclClock.c index 3ec94fb..32ba145 100644 --- a/generic/tclClock.c +++ b/generic/tclClock.c @@ -1994,22 +1994,23 @@ ClockSecondsObjCmd( static void TzsetIfNecessary(void) { - static char* tzWas = NULL; /* Previous value of TZ, protected by + static char* tzWas = INT2PTR(-1); /* Previous value of TZ, protected by * clockMutex. */ const char* tzIsNow; /* Current value of TZ */ Tcl_MutexLock(&clockMutex); tzIsNow = getenv("TZ"); - if (tzIsNow != NULL && (tzWas == NULL || strcmp(tzIsNow, tzWas) != 0)) { + if (tzIsNow != NULL && (tzWas == NULL || tzWas == INT2PTR(-1) + || strcmp(tzIsNow, tzWas) != 0)) { tzset(); - if (tzWas != NULL) { + if (tzWas != NULL && tzWas != INT2PTR(-1)) { ckfree(tzWas); } tzWas = ckalloc(strlen(tzIsNow) + 1); strcpy(tzWas, tzIsNow); } else if (tzIsNow == NULL && tzWas != NULL) { tzset(); - ckfree(tzWas); + if (tzWas != INT2PTR(-1)) ckfree(tzWas); tzWas = NULL; } Tcl_MutexUnlock(&clockMutex); -- cgit v0.12 From f1d71456ca0ed0f306f2fdfbaf3668e506f41aa9 Mon Sep 17 00:00:00 2001 From: dkf Date: Sat, 12 Dec 2015 11:54:33 +0000 Subject: Issue the correct auxType when compiling [array set]. --- generic/tclCompCmds.c | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/generic/tclCompCmds.c b/generic/tclCompCmds.c index 18da741..8d0e2f6 100644 --- a/generic/tclCompCmds.c +++ b/generic/tclCompCmds.c @@ -365,7 +365,7 @@ TclCompileArraySetCmd( infoPtr->varLists[0]->numVars = 2; infoPtr->varLists[0]->varIndexes[0] = keyVar; infoPtr->varLists[0]->varIndexes[1] = valVar; - infoIndex = TclCreateAuxData(infoPtr, &tclForeachInfoType, envPtr); + infoIndex = TclCreateAuxData(infoPtr, &tclNewForeachInfoType, envPtr); /* * Start issuing instructions to write to the array. -- cgit v0.12 From df25840e9998ccae184ac0e650ea1857d1da6634 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 15 Dec 2015 10:33:09 +0000 Subject: Eliminate AuxDataType table: since this table only contains 4 constant entries, it is overkill to use a hash table for that. --- generic/tclCompile.c | 156 ++++----------------------------------------------- generic/tclCompile.h | 2 - generic/tclExecute.c | 2 - 3 files changed, 10 insertions(+), 150 deletions(-) diff --git a/generic/tclCompile.c b/generic/tclCompile.c index f62ec14..6c4734d 100644 --- a/generic/tclCompile.c +++ b/generic/tclCompile.c @@ -17,15 +17,6 @@ #include /* - * Table of all AuxData types. - */ - -static Tcl_HashTable auxDataTypeTable; -static int auxDataTypeTableInitialized; /* 0 means not yet initialized. */ - -TCL_DECLARE_MUTEX(tableMutex) - -/* * Variable that controls whether compilation tracing is enabled and, if so, * what level of tracing is desired: * 0: no compilation tracing @@ -4221,59 +4212,6 @@ TclGetInstructionTable(void) } /* - *-------------------------------------------------------------- - * - * RegisterAuxDataType -- - * - * This procedure is called to register a new AuxData type in the table - * of all AuxData types supported by Tcl. - * - * Results: - * None. - * - * Side effects: - * The type is registered in the AuxData type table. If there was already - * a type with the same name as in typePtr, it is replaced with the new - * type. - * - *-------------------------------------------------------------- - */ - -static void -RegisterAuxDataType( - const AuxDataType *typePtr) /* Information about object type; storage must - * be statically allocated (must live forever; - * will not be deallocated). */ -{ - register Tcl_HashEntry *hPtr; - int isNew; - - Tcl_MutexLock(&tableMutex); - if (!auxDataTypeTableInitialized) { - TclInitAuxDataTypeTable(); - } - - /* - * If there's already a type with the given name, remove it. - */ - - hPtr = Tcl_FindHashEntry(&auxDataTypeTable, typePtr->name); - if (hPtr != NULL) { - Tcl_DeleteHashEntry(hPtr); - } - - /* - * Now insert the new object type. - */ - - hPtr = Tcl_CreateHashEntry(&auxDataTypeTable, typePtr->name, &isNew); - if (isNew) { - Tcl_SetHashValue(hPtr, typePtr); - } - Tcl_MutexUnlock(&tableMutex); -} - -/* *---------------------------------------------------------------------- * * TclGetAuxDataType -- @@ -4294,90 +4232,16 @@ const AuxDataType * TclGetAuxDataType( const char *typeName) /* Name of AuxData type to look up. */ { - register Tcl_HashEntry *hPtr; - const AuxDataType *typePtr = NULL; - - Tcl_MutexLock(&tableMutex); - if (!auxDataTypeTableInitialized) { - TclInitAuxDataTypeTable(); - } - - hPtr = Tcl_FindHashEntry(&auxDataTypeTable, typeName); - if (hPtr != NULL) { - typePtr = Tcl_GetHashValue(hPtr); - } - Tcl_MutexUnlock(&tableMutex); - - return typePtr; -} - -/* - *-------------------------------------------------------------- - * - * TclInitAuxDataTypeTable -- - * - * This procedure is invoked to perform once-only initialization of the - * AuxData type table. It also registers the AuxData types defined in - * this file. - * - * Results: - * None. - * - * Side effects: - * Initializes the table of defined AuxData types "auxDataTypeTable" with - * builtin AuxData types defined in this file. - * - *-------------------------------------------------------------- - */ - -void -TclInitAuxDataTypeTable(void) -{ - /* - * The table mutex must already be held before this routine is invoked. - */ - - auxDataTypeTableInitialized = 1; - Tcl_InitHashTable(&auxDataTypeTable, TCL_STRING_KEYS); - - /* - * There are only four AuxData types at this time, so register them here. - */ - - RegisterAuxDataType(&tclForeachInfoType); - RegisterAuxDataType(&tclNewForeachInfoType); - RegisterAuxDataType(&tclJumptableInfoType); - RegisterAuxDataType(&tclDictUpdateInfoType); -} - -/* - *---------------------------------------------------------------------- - * - * TclFinalizeAuxDataTypeTable -- - * - * This procedure is called by Tcl_Finalize after all exit handlers have - * been run to free up storage associated with the table of AuxData - * types. This procedure is called by TclFinalizeExecution() which is - * called by Tcl_Finalize(). - * - * Results: - * None. - * - * Side effects: - * Deletes all entries in the hash table of AuxData types. - * - *---------------------------------------------------------------------- - */ - -void -TclFinalizeAuxDataTypeTable(void) -{ - Tcl_MutexLock(&tableMutex); - if (auxDataTypeTableInitialized) { - Tcl_DeleteHashTable(&auxDataTypeTable); - auxDataTypeTableInitialized = 0; - } - Tcl_MutexUnlock(&tableMutex); + if (!strcmp(typeName, tclForeachInfoType.name)) { + return &tclForeachInfoType; + } else if (!strcmp(typeName, tclNewForeachInfoType.name)) { + return &tclNewForeachInfoType; + } else if (!strcmp(typeName, tclDictUpdateInfoType.name)) { + return &tclDictUpdateInfoType; + } else if (!strcmp(typeName, tclJumptableInfoType.name)) { + return &tclJumptableInfoType; + } + return NULL; } /* diff --git a/generic/tclCompile.h b/generic/tclCompile.h index b89346d..8811187 100644 --- a/generic/tclCompile.h +++ b/generic/tclCompile.h @@ -1123,7 +1123,6 @@ MODULE_SCOPE void TclExpandJumpFixupArray(JumpFixupArray *fixupArrayPtr); MODULE_SCOPE int TclNRExecuteByteCode(Tcl_Interp *interp, ByteCode *codePtr); MODULE_SCOPE Tcl_Obj * TclFetchLiteral(CompileEnv *envPtr, unsigned int index); -MODULE_SCOPE void TclFinalizeAuxDataTypeTable(void); MODULE_SCOPE int TclFindCompiledLocal(const char *name, int nameChars, int create, CompileEnv *envPtr); MODULE_SCOPE int TclFixupForwardJump(CompileEnv *envPtr, @@ -1131,7 +1130,6 @@ MODULE_SCOPE int TclFixupForwardJump(CompileEnv *envPtr, int distThreshold); MODULE_SCOPE void TclFreeCompileEnv(CompileEnv *envPtr); MODULE_SCOPE void TclFreeJumpFixupArray(JumpFixupArray *fixupArrayPtr); -MODULE_SCOPE void TclInitAuxDataTypeTable(void); MODULE_SCOPE void TclInitByteCodeObj(Tcl_Obj *objPtr, CompileEnv *envPtr); MODULE_SCOPE void TclInitCompileEnv(Tcl_Interp *interp, diff --git a/generic/tclExecute.c b/generic/tclExecute.c index b10af65..dacc9e2 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -927,7 +927,6 @@ TclCreateExecEnv( Tcl_MutexLock(&execMutex); if (!execInitialized) { - TclInitAuxDataTypeTable(); InitByteCodeExecution(interp); execInitialized = 1; } @@ -1026,7 +1025,6 @@ TclFinalizeExecution(void) Tcl_MutexLock(&execMutex); execInitialized = 0; Tcl_MutexUnlock(&execMutex); - TclFinalizeAuxDataTypeTable(); } /* -- cgit v0.12 From 62b1f5c63defe1dc95bf58b163ef0aa0fd1fa699 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 15 Dec 2015 11:13:32 +0000 Subject: make some MODULE_SCOPE symbols static --- generic/tclCompCmds.c | 45 +++++++++++++++++++++++++++++++++++++++------ generic/tclCompile.c | 33 --------------------------------- generic/tclCompile.h | 11 ----------- 3 files changed, 39 insertions(+), 50 deletions(-) diff --git a/generic/tclCompCmds.c b/generic/tclCompCmds.c index 8d0e2f6..3ab03cc 100644 --- a/generic/tclCompCmds.c +++ b/generic/tclCompCmds.c @@ -54,7 +54,7 @@ static int CompileDictEachCmd(Tcl_Interp *interp, * The structures below define the AuxData types defined in this file. */ -const AuxDataType tclForeachInfoType = { +static const AuxDataType foreachInfoType = { "ForeachInfo", /* name */ DupForeachInfo, /* dupProc */ FreeForeachInfo, /* freeProc */ @@ -62,7 +62,7 @@ const AuxDataType tclForeachInfoType = { DisassembleForeachInfo /* disassembleProc */ }; -const AuxDataType tclNewForeachInfoType = { +static const AuxDataType newForeachInfoType = { "NewForeachInfo", /* name */ DupForeachInfo, /* dupProc */ FreeForeachInfo, /* freeProc */ @@ -70,7 +70,7 @@ const AuxDataType tclNewForeachInfoType = { DisassembleNewForeachInfo /* disassembleProc */ }; -const AuxDataType tclDictUpdateInfoType = { +static const AuxDataType dictUpdateInfoType = { "DictUpdateInfo", /* name */ DupDictUpdateInfo, /* dupProc */ FreeDictUpdateInfo, /* freeProc */ @@ -81,6 +81,39 @@ const AuxDataType tclDictUpdateInfoType = { /* *---------------------------------------------------------------------- * + * TclGetAuxDataType -- + * + * This procedure looks up an Auxdata type by name. + * + * Results: + * If an AuxData type with name matching "typeName" is found, a pointer + * to its AuxDataType structure is returned; otherwise, NULL is returned. + * + * Side effects: + * None. + * + *---------------------------------------------------------------------- + */ + +const AuxDataType * +TclGetAuxDataType( + const char *typeName) /* Name of AuxData type to look up. */ +{ + if (!strcmp(typeName, foreachInfoType.name)) { + return &foreachInfoType; + } else if (!strcmp(typeName, newForeachInfoType.name)) { + return &newForeachInfoType; + } else if (!strcmp(typeName, dictUpdateInfoType.name)) { + return &dictUpdateInfoType; + } else if (!strcmp(typeName, tclJumptableInfoType.name)) { + return &tclJumptableInfoType; + } + return NULL; +} + +/* + *---------------------------------------------------------------------- + * * TclCompileAppendCmd -- * * Procedure called to compile the "append" command. @@ -365,7 +398,7 @@ TclCompileArraySetCmd( infoPtr->varLists[0]->numVars = 2; infoPtr->varLists[0]->varIndexes[0] = keyVar; infoPtr->varLists[0]->varIndexes[1] = valVar; - infoIndex = TclCreateAuxData(infoPtr, &tclNewForeachInfoType, envPtr); + infoIndex = TclCreateAuxData(infoPtr, &newForeachInfoType, envPtr); /* * Start issuing instructions to write to the array. @@ -1669,7 +1702,7 @@ TclCompileDictUpdateCmd( * can't be snagged by literal sharing and forced to shimmer dangerously. */ - infoIndex = TclCreateAuxData(duiPtr, &tclDictUpdateInfoType, envPtr); + infoIndex = TclCreateAuxData(duiPtr, &dictUpdateInfoType, envPtr); for (i=0 ; iauxDataArrayPtr[TclGetUInt4AtPtr(index)].clientData)) - /* * Structure used to hold information about a switch command that is needed * during program execution. These structures are stored in CompileEnv and @@ -1033,11 +1027,6 @@ typedef struct { * STRUCTURE. */ } DictUpdateInfo; -MODULE_SCOPE const AuxDataType tclDictUpdateInfoType; - -#define DICTUPDATEINFO(envPtr, index) \ - ((DictUpdateInfo*)((envPtr)->auxDataArrayPtr[TclGetUInt4AtPtr(index)].clientData)) - /* * ClientData type used by the math operator commands. */ -- cgit v0.12 From b8ee717f77fc6f8add7137b14be34357192aacea Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 15 Dec 2015 13:19:43 +0000 Subject: Remove unused static function definition --- generic/tclCompile.c | 1 - 1 file changed, 1 deletion(-) diff --git a/generic/tclCompile.c b/generic/tclCompile.c index 6598829..4c259ab 100644 --- a/generic/tclCompile.c +++ b/generic/tclCompile.c @@ -679,7 +679,6 @@ static int IsCompactibleCompileEnv(Tcl_Interp *interp, #ifdef TCL_COMPILE_STATS static void RecordByteCodeStats(ByteCode *codePtr); #endif /* TCL_COMPILE_STATS */ -static void RegisterAuxDataType(const AuxDataType *typePtr); static int SetByteCodeFromAny(Tcl_Interp *interp, Tcl_Obj *objPtr); static void StartExpanding(CompileEnv *envPtr); -- cgit v0.12 From 9766a76000f4b621c0fa1ef9f7ad6d41d0f36a74 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 21 Dec 2015 10:27:19 +0000 Subject: Code-cleanup: CONST -> const, don't use macro's like __REG_CONST and types like re_void any more. No change in functionality. --- generic/regcustom.h | 8 ------- generic/regex.h | 60 ++++++++++++++--------------------------------------- unix/Makefile.in | 2 +- win/tclWinChan.c | 2 +- 4 files changed, 18 insertions(+), 54 deletions(-) diff --git a/generic/regcustom.h b/generic/regcustom.h index 1c970ea..681b97d 100644 --- a/generic/regcustom.h +++ b/generic/regcustom.h @@ -60,12 +60,6 @@ #ifdef __REG_REGOFF_T #undef __REG_REGOFF_T #endif -#ifdef __REG_VOID_T -#undef __REG_VOID_T -#endif -#ifdef __REG_CONST -#undef __REG_CONST -#endif #ifdef __REG_NOFRONT #undef __REG_NOFRONT #endif @@ -75,8 +69,6 @@ /* Interface types */ #define __REG_WIDE_T Tcl_UniChar #define __REG_REGOFF_T long /* Not really right, but good enough... */ -#define __REG_VOID_T void -#define __REG_CONST const /* Names and declarations */ #define __REG_WIDE_COMPILE TclReComp #define __REG_WIDE_EXEC TclReExec diff --git a/generic/regex.h b/generic/regex.h index 53450e5..8845f72 100644 --- a/generic/regex.h +++ b/generic/regex.h @@ -92,12 +92,6 @@ extern "C" { #ifdef __REG_REGOFF_T #undef __REG_REGOFF_T #endif -#ifdef __REG_VOID_T -#undef __REG_VOID_T -#endif -#ifdef __REG_CONST -#undef __REG_CONST -#endif #ifdef __REG_NOFRONT #undef __REG_NOFRONT #endif @@ -107,8 +101,6 @@ extern "C" { /* interface types */ #define __REG_WIDE_T Tcl_UniChar #define __REG_REGOFF_T long /* not really right, but good enough... */ -#define __REG_VOID_T void -#define __REG_CONST const /* names and declarations */ #define __REG_WIDE_COMPILE TclReComp #define __REG_WIDE_EXEC TclReExec @@ -134,26 +126,6 @@ typedef long regoff_t; #endif /* - * For benefit of old compilers, we offer the option of - * overriding the `void' type used to declare nonexistent return types. - */ -#ifdef __REG_VOID_T -typedef __REG_VOID_T re_void; -#else -typedef void re_void; -#endif - -/* - * Also for benefit of old compilers, can supply a macro which - * expands to a substitute for `const'. - */ -#ifndef __REG_CONST -#define __REG_CONST const -#endif - - - -/* * other interface types */ @@ -197,13 +169,13 @@ typedef struct { /* * compilation ^ #ifndef __REG_NOCHAR - ^ int re_comp(regex_t *, __REG_CONST char *, size_t, int); + ^ int re_comp(regex_t *, const char *, size_t, int); ^ #endif ^ #ifndef __REG_NOFRONT - ^ int regcomp(regex_t *, __REG_CONST char *, int); + ^ int regcomp(regex_t *, const char *, int); ^ #endif ^ #ifdef __REG_WIDE_T - ^ int __REG_WIDE_COMPILE(regex_t *, __REG_CONST __REG_WIDE_T *, size_t, int); + ^ int __REG_WIDE_COMPILE(regex_t *, const __REG_WIDE_T *, size_t, int); ^ #endif */ #define REG_BASIC 000000 /* BREs (convenience) */ @@ -228,14 +200,14 @@ typedef struct { /* * execution ^ #ifndef __REG_NOCHAR - ^ int re_exec(regex_t *, __REG_CONST char *, size_t, + ^ int re_exec(regex_t *, const char *, size_t, ^ rm_detail_t *, size_t, regmatch_t [], int); ^ #endif ^ #ifndef __REG_NOFRONT - ^ int regexec(regex_t *, __REG_CONST char *, size_t, regmatch_t [], int); + ^ int regexec(regex_t *, const char *, size_t, regmatch_t [], int); ^ #endif ^ #ifdef __REG_WIDE_T - ^ int __REG_WIDE_EXEC(regex_t *, __REG_CONST __REG_WIDE_T *, size_t, + ^ int __REG_WIDE_EXEC(regex_t *, const __REG_WIDE_T *, size_t, ^ rm_detail_t *, size_t, regmatch_t [], int); ^ #endif */ @@ -248,7 +220,7 @@ typedef struct { /* * misc generics (may be more functions here eventually) - ^ re_void regfree(regex_t *); + ^ void regfree(regex_t *); */ /* @@ -260,7 +232,7 @@ typedef struct { * of character is used for error reports is independent of what kind is used * in matching. * - ^ extern size_t regerror(int, __REG_CONST regex_t *, char *, size_t); + ^ extern size_t regerror(int, const regex_t *, char *, size_t); */ #define REG_OKAY 0 /* no errors detected */ #define REG_NOMATCH 1 /* failed to match */ @@ -293,25 +265,25 @@ typedef struct { /* automatically gathered by fwd; do not hand-edit */ /* === regproto.h === */ #ifndef __REG_NOCHAR -int re_comp(regex_t *, __REG_CONST char *, size_t, int); +int re_comp(regex_t *, const char *, size_t, int); #endif #ifndef __REG_NOFRONT -int regcomp(regex_t *, __REG_CONST char *, int); +int regcomp(regex_t *, const char *, int); #endif #ifdef __REG_WIDE_T -MODULE_SCOPE int __REG_WIDE_COMPILE(regex_t *, __REG_CONST __REG_WIDE_T *, size_t, int); +MODULE_SCOPE int __REG_WIDE_COMPILE(regex_t *, const __REG_WIDE_T *, size_t, int); #endif #ifndef __REG_NOCHAR -int re_exec(regex_t *, __REG_CONST char *, size_t, rm_detail_t *, size_t, regmatch_t [], int); +int re_exec(regex_t *, const char *, size_t, rm_detail_t *, size_t, regmatch_t [], int); #endif #ifndef __REG_NOFRONT -int regexec(regex_t *, __REG_CONST char *, size_t, regmatch_t [], int); +int regexec(regex_t *, const char *, size_t, regmatch_t [], int); #endif #ifdef __REG_WIDE_T -MODULE_SCOPE int __REG_WIDE_EXEC(regex_t *, __REG_CONST __REG_WIDE_T *, size_t, rm_detail_t *, size_t, regmatch_t [], int); +MODULE_SCOPE int __REG_WIDE_EXEC(regex_t *, const __REG_WIDE_T *, size_t, rm_detail_t *, size_t, regmatch_t [], int); #endif -MODULE_SCOPE re_void regfree(regex_t *); -MODULE_SCOPE size_t regerror(int, __REG_CONST regex_t *, char *, size_t); +MODULE_SCOPE void regfree(regex_t *); +MODULE_SCOPE size_t regerror(int, const regex_t *, char *, size_t); /* automatically gathered by fwd; do not hand-edit */ /* =====^!^===== end forwards =====^!^===== */ diff --git a/unix/Makefile.in b/unix/Makefile.in index da43c5d..bc73118 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -1828,7 +1828,7 @@ gendate: # -e 's?SCCSID?RCS: @(#) ?' \ # -e '/#ifdef __STDC__/,/#endif/d' -e '/TclDateerrlab:/d' \ # -e '/TclDatenewstate:/d' -e '/#pragma/d' \ -# -e '/#include /d' -e 's/const /CONST /g' \ +# -e '/#include /d' \ # -e '/#define YYNEW/s/malloc/TclDateAlloc/g' \ # -e '/#define YYENLARGE/,/realloc/s/realloc/TclDateRealloc/g' \ # $(GENERIC_DIR)/tclDate.c diff --git a/win/tclWinChan.c b/win/tclWinChan.c index cca0dab..78b510b 100644 --- a/win/tclWinChan.c +++ b/win/tclWinChan.c @@ -95,7 +95,7 @@ static void FileThreadActionProc(ClientData instanceData, static int FileTruncateProc(ClientData instanceData, Tcl_WideInt length); static DWORD FileGetType(HANDLE handle); -static int NativeIsComPort(CONST TCHAR *nativeName); +static int NativeIsComPort(const TCHAR *nativeName); /* * This structure describes the channel type structure for file based IO. */ -- cgit v0.12 From 1614457e38312b8180cd9ef843bffcc6a45a14cc Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 22 Dec 2015 18:27:23 +0000 Subject: [593baa032c] Possible fix (with test) for segfault in superclass teardown. --- generic/tclOO.c | 29 ++++++++++++++++++++--------- tests/oo.test | 7 +++++++ 2 files changed, 27 insertions(+), 9 deletions(-) diff --git a/generic/tclOO.c b/generic/tclOO.c index 5fca220..f2e0ca9 100644 --- a/generic/tclOO.c +++ b/generic/tclOO.c @@ -58,6 +58,7 @@ static const struct { static Class * AllocClass(Tcl_Interp *interp, Object *useThisObj); static Object * AllocObject(Tcl_Interp *interp, const char *nameStr, const char *nsNameStr); +static void ClearSuperclasses(Class *clsPtr); static int CloneClassMethod(Tcl_Interp *interp, Class *clsPtr, Method *mPtr, Tcl_Obj *namePtr, Method **newMPtrPtr); @@ -905,6 +906,20 @@ ObjectRenamedTrace( */ static void +ClearSuperclasses( + Class *clsPtr) +{ + int i; + Class *superPtr; + + FOREACH(superPtr, clsPtr->superclasses) { + TclOORemoveFromSubclasses(clsPtr, superPtr); + } + ckfree(clsPtr->superclasses.list); + clsPtr->superclasses.num = 0; +} + +static void ReleaseClassContents( Tcl_Interp *interp, /* The interpreter containing the class. */ Object *oPtr) /* The object representing the class. */ @@ -999,6 +1014,9 @@ ReleaseClassContents( if (!Deleted(subclassPtr->thisPtr)) { Tcl_DeleteCommandFromToken(interp, subclassPtr->thisPtr->command); } + if (subclassPtr->superclasses.num) { + ClearSuperclasses(subclassPtr); + } DelRef(subclassPtr->thisPtr); DelRef(subclassPtr); } @@ -1195,7 +1213,6 @@ ObjectNamespaceDeleted( } if (clsPtr != NULL) { - Class *superPtr; Tcl_ObjectMetadataType *metadataTypePtr; ClientData value; @@ -1224,14 +1241,8 @@ ObjectNamespaceDeleted( ckfree(clsPtr->mixins.list); clsPtr->mixins.num = 0; } - FOREACH(superPtr, clsPtr->superclasses) { - if (!Deleted(superPtr->thisPtr)) { - TclOORemoveFromSubclasses(clsPtr, superPtr); - } - } - if (i) { - ckfree(clsPtr->superclasses.list); - clsPtr->superclasses.num = 0; + if (clsPtr->superclasses.num) { + ClearSuperclasses(clsPtr); } if (clsPtr->subclasses.list) { ckfree(clsPtr->subclasses.list); diff --git a/tests/oo.test b/tests/oo.test index 2112f10..ca5c7f9 100644 --- a/tests/oo.test +++ b/tests/oo.test @@ -3671,6 +3671,13 @@ test oo-35.2 {Bug 9d61624b3d: Empty superclass must not cause crash} -setup { unset -nocomplain result fruitMetaclass destroy } -result {::appleClass ::orange ::oo::class ::oo::class 1 1 ::appleClass ::pear} +test oo-35.3 {Bug 593baa032c: superclass list teardown} { + # Bug makes this crash, especially with mem-debugging on + oo::class create B {} + oo::class create D {superclass B} + namespace eval [info object namespace D] [list [namespace which B] destroy] +} {} + cleanupTests return -- cgit v0.12 From 2516cd875a00dd9b9f1d23f43a86342c1007bdb4 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 22 Dec 2015 19:50:04 +0000 Subject: [593baa032c] Additional fix for the mixinSubs list. --- generic/tclOO.c | 29 +++++++++++++++++++++-------- tests/oo.test | 6 ++++++ 2 files changed, 27 insertions(+), 8 deletions(-) diff --git a/generic/tclOO.c b/generic/tclOO.c index f2e0ca9..34eb5ad 100644 --- a/generic/tclOO.c +++ b/generic/tclOO.c @@ -58,6 +58,7 @@ static const struct { static Class * AllocClass(Tcl_Interp *interp, Object *useThisObj); static Object * AllocObject(Tcl_Interp *interp, const char *nameStr, const char *nsNameStr); +static void ClearMixins(Class *clsPtr); static void ClearSuperclasses(Class *clsPtr); static int CloneClassMethod(Tcl_Interp *interp, Class *clsPtr, Method *mPtr, Tcl_Obj *namePtr, @@ -906,6 +907,20 @@ ObjectRenamedTrace( */ static void +ClearMixins( + Class *clsPtr) +{ + int i; + Class *mixinPtr; + + FOREACH(mixinPtr, clsPtr->mixins) { + TclOORemoveFromMixinSubs(clsPtr, mixinPtr); + } + ckfree(clsPtr->mixins.list); + clsPtr->mixins.num = 0; +} + +static void ClearSuperclasses( Class *clsPtr) { @@ -994,6 +1009,9 @@ ReleaseClassContents( Tcl_DeleteCommandFromToken(interp, mixinSubclassPtr->thisPtr->command); } + if (mixinSubclassPtr->mixins.num) { + ClearMixins(mixinSubclassPtr); + } DelRef(mixinSubclassPtr->thisPtr); DelRef(mixinSubclassPtr); } @@ -1232,14 +1250,9 @@ ObjectNamespaceDeleted( ckfree(clsPtr->filters.list); clsPtr->filters.num = 0; } - FOREACH(mixinPtr, clsPtr->mixins) { - if (!Deleted(mixinPtr->thisPtr)) { - TclOORemoveFromMixinSubs(clsPtr, mixinPtr); - } - } - if (i) { - ckfree(clsPtr->mixins.list); - clsPtr->mixins.num = 0; + + if (clsPtr->mixins.num) { + ClearMixins(clsPtr); } if (clsPtr->superclasses.num) { ClearSuperclasses(clsPtr); diff --git a/tests/oo.test b/tests/oo.test index ca5c7f9..895f7ed 100644 --- a/tests/oo.test +++ b/tests/oo.test @@ -3677,6 +3677,12 @@ test oo-35.3 {Bug 593baa032c: superclass list teardown} { oo::class create D {superclass B} namespace eval [info object namespace D] [list [namespace which B] destroy] } {} +test oo-35.4 {Bug 593baa032c: mixins list teardown} { + # Bug makes this crash, especially with mem-debugging on + oo::class create B {} + oo::class create D {mixin B} + namespace eval [info object namespace D] [list [namespace which B] destroy] +} {} cleanupTests -- cgit v0.12 From 97e52f918d3e35ec3f61e099424ccf966aae3101 Mon Sep 17 00:00:00 2001 From: dkf Date: Fri, 1 Jan 2016 17:46:45 +0000 Subject: Document the Tcl_CancelEval function correctly. It was missing its second argument, making using it correctly impossible, especially from C++. --- doc/Cancel.3 | 18 +++++++++++++----- 1 file changed, 13 insertions(+), 5 deletions(-) diff --git a/doc/Cancel.3 b/doc/Cancel.3 index 5d258b7..f6b1636 100644 --- a/doc/Cancel.3 +++ b/doc/Cancel.3 @@ -13,20 +13,25 @@ Tcl_CancelEval, Tcl_Canceled \- cancel Tcl scripts .nf \fB#include \fR int -\fBTcl_CancelEval\fR(\fIinterp, clientData, flags\fR) +\fBTcl_CancelEval\fR(\fIinterp, resultObjPtr, clientData, flags\fR) .sp int \fBTcl_Canceled\fR(\fIinterp, flags\fR) .SH ARGUMENTS +.AS Tcl_Interp *interp .AP Tcl_Interp *interp in Interpreter in which to cancel the script. +.AP Tcl_Obj *resultObjPtr in +Error message to use in the cancellation, or NULL to use a default message. If +not NULL, this object will have its reference count decremented before +\fBTcl_CancelEval\fR returns. .AP int flags in ORed combination of flag bits that specify additional options. For \fBTcl_CancelEval\fR, only \fBTCL_CANCEL_UNWIND\fR is currently supported. For \fBTcl_Canceled\fR, only \fBTCL_LEAVE_ERR_MSG\fR and \fBTCL_CANCEL_UNWIND\fR are currently supported. .AP ClientData clientData in -Currently, reserved for future use. +Currently reserved for future use. It should be set to NULL. .BE .SH DESCRIPTION @@ -41,19 +46,21 @@ returns \fBTCL_ERROR\fR if it has. Otherwise, \fBTCL_OK\fR is returned. Extensions can use this function to check to see if they should abort a long running command. This function is thread sensitive and may only be called from the thread the interpreter was created in. -.SH "FLAG BITS" +.SS "FLAG BITS" Any ORed combination of the following values may be used for the \fIflags\fR argument to procedures such as \fBTcl_CancelEval\fR: -.TP 23 +.TP 20 \fBTCL_CANCEL_UNWIND\fR +. This flag is used by \fBTcl_CancelEval\fR and \fBTcl_Canceled\fR. For \fBTcl_CancelEval\fR, if this flag is set, the script in progress is canceled and the evaluation stack for the interpreter is unwound. For \fBTcl_Canceled\fR, if this flag is set, the script in progress is considered to be canceled only if the evaluation stack for the interpreter is being unwound. -.TP 23 +.TP 20 \fBTCL_LEAVE_ERR_MSG\fR +. This flag is only used by \fBTcl_Canceled\fR; it is ignored by other procedures. If an error is returned and this bit is set in \fIflags\fR, then an error message will be left in the interpreter's @@ -61,6 +68,7 @@ result, where it can be retrieved with \fBTcl_GetObjResult\fR or \fBTcl_GetStringResult\fR. If this flag bit is not set then no error message is left and the interpreter's result will not be modified. .SH "SEE ALSO" +interp(n), Tcl_Eval(3), TIP 285 .SH KEYWORDS cancel, unwind -- cgit v0.12 From 86b9cc18cdb1b06c9e34a429885a716f2c3e6a04 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 6 Jan 2016 11:15:20 +0000 Subject: Fix win32 mingw 32-bit build, bug was introduced by [c397433be321e6d9] (wrong zlib1.dll was copied) --- win/Makefile.in | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/win/Makefile.in b/win/Makefile.in index 7e6486c..2d27a41 100644 --- a/win/Makefile.in +++ b/win/Makefile.in @@ -468,7 +468,7 @@ ${TEST_DLL_FILE}: ${TCL_STUB_LIB_FILE} ${TCLTEST_OBJS} # use pre-built zlib1.dll ${ZLIB_DLL_FILE}: ${TCL_STUB_LIB_FILE} - @if test "@ZLIB_LIBS@set" != "${ZLIB_DIR}/win32/zdll.libset" ; then \ + @if test "@ZLIB_LIBS@set" != "${ZLIB_DIR_NATIVE}/win32/zdll.libset" ; then \ $(COPY) $(ZLIB_DIR)/win64/${ZLIB_DLL_FILE} ${ZLIB_DLL_FILE}; \ else \ $(COPY) $(ZLIB_DIR)/win32/${ZLIB_DLL_FILE} ${ZLIB_DLL_FILE}; \ -- cgit v0.12 From 7b79011075ebaea03aecd04ccb351f56681469a4 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 7 Jan 2016 11:33:02 +0000 Subject: Fix [f01d74dc8c]: DEFAULT_COPY_BLOCK_SIZE has incorrect value --- unix/tclUnixFCmd.c | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/unix/tclUnixFCmd.c b/unix/tclUnixFCmd.c index 3b1b6ca..a1a409e 100644 --- a/unix/tclUnixFCmd.c +++ b/unix/tclUnixFCmd.c @@ -564,7 +564,7 @@ TclUnixCopyFile( #define BINMODE #endif /* DJGPP */ -#define DEFAULT_COPY_BLOCK_SIZE 4069 +#define DEFAULT_COPY_BLOCK_SIZE 4096 if ((srcFd = TclOSopen(src, O_RDONLY BINMODE, 0)) < 0) { /* INTL: Native */ return TCL_ERROR; -- cgit v0.12 From 247529b2e2220a8d411a33788f9e7be3828d12a6 Mon Sep 17 00:00:00 2001 From: Joe Mistachkin Date: Thu, 14 Jan 2016 23:55:45 +0000 Subject: Add the tcl_platform(engine) element, TIP to be written. --- generic/tclBasic.c | 7 +++++++ 1 file changed, 7 insertions(+) diff --git a/generic/tclBasic.c b/generic/tclBasic.c index 5c5bc64..0bb43cc 100644 --- a/generic/tclBasic.c +++ b/generic/tclBasic.c @@ -916,6 +916,13 @@ Tcl_CreateInterp(void) TclInitEmbeddedConfigurationInformation(interp); /* + * TIP #XXX: Declare the name of the script engine to be "Tcl". + */ + + Tcl_SetVar2(interp, "tcl_platform", "engine", "Tcl", + TCL_GLOBAL_ONLY); + + /* * Compute the byte order of this machine. */ -- cgit v0.12 From 4320d2b7859b143036f361013d5eaa7d0baaa5c8 Mon Sep 17 00:00:00 2001 From: Joe Mistachkin Date: Fri, 15 Jan 2016 00:39:41 +0000 Subject: Add docs and tests. --- doc/tclvars.n | 5 +++++ tests/platform.test | 6 +++++- tests/safe.test | 2 +- 3 files changed, 11 insertions(+), 2 deletions(-) diff --git a/doc/tclvars.n b/doc/tclvars.n index a8fba47..a256c21 100644 --- a/doc/tclvars.n +++ b/doc/tclvars.n @@ -299,6 +299,11 @@ so extension writers can specify which package to load depending on the C run-time library that is in use. This is not an indication that this core contains symbols. .TP +\fBengine\fR +. +The name of the Tcl language implementation. When the interpreter is first +created, this is always set to the string \fBTcl\fR. +.TP \fBmachine\fR . The instruction set executed by this machine, such as diff --git a/tests/platform.test b/tests/platform.test index cc00d49..c826444 100644 --- a/tests/platform.test +++ b/tests/platform.test @@ -23,6 +23,10 @@ catch [list package require -exact Tcltest [info patchlevel]] testConstraint testCPUID [llength [info commands testcpuid]] +test platform-1.0 {tcl_platform(engine)} { + set tcl_platform(engine) +} {Tcl} + test platform-1.1 {TclpSetVariables: tcl_platform} { interp create i i eval {catch {unset tcl_platform(debug)}} @@ -30,7 +34,7 @@ test platform-1.1 {TclpSetVariables: tcl_platform} { set result [i eval {lsort [array names tcl_platform]}] interp delete i set result -} {byteOrder machine os osVersion pathSeparator platform pointerSize user wordSize} +} {byteOrder engine machine os osVersion pathSeparator platform pointerSize user wordSize} # Test assumes twos-complement arithmetic, which is true of virtually # everything these days. Note that this does *not* use wide(), and diff --git a/tests/safe.test b/tests/safe.test index 859f352..94c1755 100644 --- a/tests/safe.test +++ b/tests/safe.test @@ -174,7 +174,7 @@ test safe-6.3 {test safe interpreters knowledge of the world} { } set r [lsearch -all -inline -not -exact $r "threaded"] lsort $r -} {byteOrder pathSeparator platform pointerSize wordSize} +} {byteOrder engine pathSeparator platform pointerSize wordSize} # More test should be added to check that hostname, nameofexecutable, aren't # leaking infos, but they still do... -- cgit v0.12 From 7a410220dde1167eb71e19d5e53ce442fbe27cd6 Mon Sep 17 00:00:00 2001 From: dkf Date: Mon, 18 Jan 2016 10:16:35 +0000 Subject: Put the file location information that Tcl has into the disassembled code. Important for tclquadcode. --- generic/tclDisassemble.c | 99 +++++++++++++++++++++++++++++++++++++++++++----- generic/tclInt.h | 3 +- tests/compile.test | 42 ++++++++++++++++++-- 3 files changed, 131 insertions(+), 13 deletions(-) diff --git a/generic/tclDisassemble.c b/generic/tclDisassemble.c index 86f0e1d..a60a58d 100644 --- a/generic/tclDisassemble.c +++ b/generic/tclDisassemble.c @@ -21,9 +21,13 @@ * Prototypes for procedures defined later in this file: */ -static Tcl_Obj * DisassembleByteCodeAsDicts(Tcl_Obj *objPtr); +static Tcl_Obj * DisassembleByteCodeAsDicts(Tcl_Interp *interp, + Tcl_Obj *objPtr); static int FormatInstruction(ByteCode *codePtr, const unsigned char *pc, Tcl_Obj *bufferObj); +static void GetLocationInformation(Tcl_Interp *interp, + Proc *procPtr, Tcl_Obj **fileObjPtr, + int *linePtr); static void PrintSourceToObj(Tcl_Obj *appendObj, const char *stringPtr, int maxChars); static void UpdateStringOfInstName(Tcl_Obj *objPtr); @@ -48,6 +52,57 @@ static const Tcl_ObjType tclInstNameType = { #define BYTECODE(objPtr) \ ((ByteCode *) (objPtr)->internalRep.twoPtrValue.ptr1) +/* + *---------------------------------------------------------------------- + * + * GetLocationInformation -- + * + * This procedure looks up the information about where a procedure was + * originally declared. + * + * Results: + * Writes to the variables pointed at by fileObjPtr and linePtr. + * + * Side effects: + * None. + * + *---------------------------------------------------------------------- + */ + +static void +GetLocationInformation( + Tcl_Interp *interp, /* Where to look up the location + * information. */ + Proc *procPtr, /* What to look up the information for. */ + Tcl_Obj **fileObjPtr, /* Where to write the information about what + * file the code came from. Will be written + * to, either with the object (assume shared!) + * that describes what the file was, or with + * NULL if the information is not + * available. */ + int *linePtr) /* Where to write the information about what + * line number represented the start of the + * code in question. Will be written to, + * either with the line number or with -1 if + * the information is not available. */ +{ + Interp *iPtr = (Interp *) interp; + Tcl_HashEntry *hePtr; + CmdFrame *cfPtr; + + *fileObjPtr = NULL; + *linePtr = -1; + if (iPtr != NULL && procPtr != NULL) { + hePtr = Tcl_FindHashEntry(iPtr->linePBodyPtr, procPtr); + if (hePtr != NULL && (cfPtr = Tcl_GetHashValue(hePtr)) != NULL) { + *linePtr = cfPtr->line[0]; + if (cfPtr->type == TCL_LOCATION_SOURCE) { + *fileObjPtr = cfPtr->data.eval.path; + } + } + } +} + #ifdef TCL_COMPILE_DEBUG /* *---------------------------------------------------------------------- @@ -68,10 +123,10 @@ static const Tcl_ObjType tclInstNameType = { void TclPrintByteCodeObj( - Tcl_Interp *interp, /* Used only for Tcl_GetStringFromObj. */ + Tcl_Interp *interp, /* Used only for getting location info. */ Tcl_Obj *objPtr) /* The bytecode object to disassemble. */ { - Tcl_Obj *bufPtr = TclDisassembleByteCodeObj(objPtr); + Tcl_Obj *bufPtr = TclDisassembleByteCodeObj(interp, objPtr); fprintf(stdout, "\n%s", TclGetString(bufPtr)); Tcl_DecrRefCount(bufPtr); @@ -187,15 +242,16 @@ TclPrintSource( Tcl_Obj * TclDisassembleByteCodeObj( + Tcl_Interp *interp, Tcl_Obj *objPtr) /* The bytecode object to disassemble. */ { ByteCode *codePtr = BYTECODE(objPtr); unsigned char *codeStart, *codeLimit, *pc; unsigned char *codeDeltaNext, *codeLengthNext; unsigned char *srcDeltaNext, *srcLengthNext; - int codeOffset, codeLen, srcOffset, srcLen, numCmds, delta, i; + int codeOffset, codeLen, srcOffset, srcLen, numCmds, delta, i, line; Interp *iPtr = (Interp *) *codePtr->interpHandle; - Tcl_Obj *bufferObj; + Tcl_Obj *bufferObj, *fileObj; char ptrBuf1[20], ptrBuf2[20]; TclNewObj(bufferObj); @@ -220,6 +276,11 @@ TclDisassembleByteCodeObj( Tcl_AppendToObj(bufferObj, " Source ", -1); PrintSourceToObj(bufferObj, codePtr->source, TclMin(codePtr->numSrcBytes, 55)); + GetLocationInformation(interp, codePtr->procPtr, &fileObj, &line); + if (line > -1 && fileObj != NULL) { + Tcl_AppendPrintfToObj(bufferObj, "\n File \"%s\" Line %d", + Tcl_GetString(fileObj), line); + } Tcl_AppendPrintfToObj(bufferObj, "\n Cmds %d, src %d, inst %d, litObjs %u, aux %d, stkDepth %u, code/src %.2f\n", numCmds, codePtr->numSrcBytes, codePtr->numCodeBytes, @@ -881,14 +942,16 @@ PrintSourceToObj( static Tcl_Obj * DisassembleByteCodeAsDicts( + Tcl_Interp *interp, /* Used for looking up the CmdFrame for the + * procedure, if one exists. */ Tcl_Obj *objPtr) /* The bytecode-holding value to take apart */ { ByteCode *codePtr = BYTECODE(objPtr); Tcl_Obj *description, *literals, *variables, *instructions, *inst; - Tcl_Obj *aux, *exn, *commands; + Tcl_Obj *aux, *exn, *commands, *file; unsigned char *pc, *opnd, *codeOffPtr, *codeLenPtr, *srcOffPtr, *srcLenPtr; int codeOffset, codeLength, sourceOffset, sourceLength; - int i, val; + int i, val, line; /* * Get the literals from the bytecode. @@ -1152,6 +1215,13 @@ DisassembleByteCodeAsDicts( #undef Decode /* + * Get the source file and line number information from the CmdFrame + * system if it is available. + */ + + GetLocationInformation(interp, codePtr->procPtr, &file, &line); + + /* * Build the overall result. */ @@ -1174,6 +1244,15 @@ DisassembleByteCodeAsDicts( Tcl_NewIntObj(codePtr->maxStackDepth)); Tcl_DictObjPut(NULL, description, Tcl_NewStringObj("exceptdepth", -1), Tcl_NewIntObj(codePtr->maxExceptDepth)); + if (line > -1) { + Tcl_DictObjPut(NULL, description, + Tcl_NewStringObj("initiallinenumber", -1), + Tcl_NewIntObj(line)); + } + if (file) { + Tcl_DictObjPut(NULL, description, + Tcl_NewStringObj("sourcefile", -1), file); + } return description; } @@ -1403,9 +1482,11 @@ Tcl_DisassembleObjCmd( return TCL_ERROR; } if (PTR2INT(clientData)) { - Tcl_SetObjResult(interp, DisassembleByteCodeAsDicts(codeObjPtr)); + Tcl_SetObjResult(interp, + DisassembleByteCodeAsDicts(interp, codeObjPtr)); } else { - Tcl_SetObjResult(interp, TclDisassembleByteCodeObj(codeObjPtr)); + Tcl_SetObjResult(interp, + TclDisassembleByteCodeObj(interp, codeObjPtr)); } return TCL_OK; } diff --git a/generic/tclInt.h b/generic/tclInt.h index 082fab4..9a5b4bf 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -3152,7 +3152,8 @@ MODULE_SCOPE void TclFinalizeThreadStorage(void); MODULE_SCOPE Tcl_WideInt TclpGetWideClicks(void); MODULE_SCOPE double TclpWideClicksToNanoseconds(Tcl_WideInt clicks); #endif -MODULE_SCOPE Tcl_Obj * TclDisassembleByteCodeObj(Tcl_Obj *objPtr); +MODULE_SCOPE Tcl_Obj * TclDisassembleByteCodeObj(Tcl_Interp *interp, + Tcl_Obj *objPtr); MODULE_SCOPE int TclZlibInit(Tcl_Interp *interp); MODULE_SCOPE void * TclpThreadCreateKey(void); MODULE_SCOPE void TclpThreadDeleteKey(void *keyPtr); diff --git a/tests/compile.test b/tests/compile.test index d4a31d4..46e678a 100644 --- a/tests/compile.test +++ b/tests/compile.test @@ -765,7 +765,7 @@ test compile-18.24 {disassembler - basics} -returnCodes error -body { } -result "can't interpret \"\{\" as a lambda expression" test compile-18.25 {disassembler - basics} -body { dict keys [tcl::unsupported::getbytecode lambda {{} {}}] -} -result $bytecodekeys +} -result "$bytecodekeys initiallinenumber sourcefile" test compile-18.26 {disassembler - basics} -returnCodes error -body { tcl::unsupported::getbytecode proc } -match glob -result {wrong # args: should be "* proc procName"} @@ -778,7 +778,43 @@ test compile-18.28 {disassembler - basics} -setup { dict keys [tcl::unsupported::getbytecode proc chewonthis] } -cleanup { rename chewonthis {} +} -result "$bytecodekeys initiallinenumber sourcefile" +test compile-18.28.1 {disassembler - tricky bit} -setup { + eval [list proc chewonthis {} {}] +} -body { + dict keys [tcl::unsupported::getbytecode proc chewonthis] +} -cleanup { + rename chewonthis {} +} -result $bytecodekeys +test compile-18.28.2 {disassembler - tricky bit} -setup { + eval {proc chewonthis {} {}} +} -body { + dict keys [tcl::unsupported::getbytecode proc chewonthis] +} -cleanup { + rename chewonthis {} +} -result "$bytecodekeys initiallinenumber sourcefile" +test compile-18.28.3 {disassembler - tricky bit} -setup { + proc Proc {n a b} { + proc $n $a $b + } + Proc chewonthis {} {} +} -body { + dict keys [tcl::unsupported::getbytecode proc chewonthis] +} -cleanup { + rename Proc {} + rename chewonthis {} } -result $bytecodekeys +test compile-18.28.4 {disassembler - tricky bit} -setup { + proc Proc {n a b} { + tailcall proc $n $a $b + } + Proc chewonthis {} {} +} -body { + dict keys [tcl::unsupported::getbytecode proc chewonthis] +} -cleanup { + rename Proc {} + rename chewonthis {} +} -result "$bytecodekeys initiallinenumber sourcefile" test compile-18.29 {disassembler - basics} -returnCodes error -body { tcl::unsupported::getbytecode script } -match glob -result {wrong # args: should be "* script script"} @@ -807,7 +843,7 @@ test compile-18.35 {disassembler - basics} -setup { dict keys [tcl::unsupported::getbytecode method foo bar] } -cleanup { foo destroy -} -result $bytecodekeys +} -result "$bytecodekeys initiallinenumber sourcefile" test compile-18.36 {disassembler - basics} -returnCodes error -body { tcl::unsupported::getbytecode objmethod } -match glob -result {wrong # args: should be "* objmethod objectName methodName"} @@ -824,7 +860,7 @@ test compile-18.39 {disassembler - basics} -setup { dict keys [tcl::unsupported::getbytecode objmethod foo bar] } -cleanup { foo destroy -} -result $bytecodekeys +} -result "$bytecodekeys initiallinenumber sourcefile" test compile-19.0 {Bug 3614102: reset stack housekeeping} -body { # This will panic in a --enable-symbols=compile build, unless bug is fixed. -- cgit v0.12 From a03db6ab78e482f5bd0a3acbf350f81361ae4da4 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 18 Jan 2016 12:19:31 +0000 Subject: Make function TclDisassembleByteCodeObj() static, since it is only used in a single source file. --- generic/tclDisassemble.c | 14 ++++++++------ generic/tclInt.h | 2 -- 2 files changed, 8 insertions(+), 8 deletions(-) diff --git a/generic/tclDisassemble.c b/generic/tclDisassemble.c index a60a58d..c85fe13 100644 --- a/generic/tclDisassemble.c +++ b/generic/tclDisassemble.c @@ -23,6 +23,8 @@ static Tcl_Obj * DisassembleByteCodeAsDicts(Tcl_Interp *interp, Tcl_Obj *objPtr); +static Tcl_Obj * DisassembleByteCodeObj(Tcl_Interp *interp, + Tcl_Obj *objPtr); static int FormatInstruction(ByteCode *codePtr, const unsigned char *pc, Tcl_Obj *bufferObj); static void GetLocationInformation(Tcl_Interp *interp, @@ -126,7 +128,7 @@ TclPrintByteCodeObj( Tcl_Interp *interp, /* Used only for getting location info. */ Tcl_Obj *objPtr) /* The bytecode object to disassemble. */ { - Tcl_Obj *bufPtr = TclDisassembleByteCodeObj(interp, objPtr); + Tcl_Obj *bufPtr = DisassembleByteCodeObj(interp, objPtr); fprintf(stdout, "\n%s", TclGetString(bufPtr)); Tcl_DecrRefCount(bufPtr); @@ -231,7 +233,7 @@ TclPrintSource( /* *---------------------------------------------------------------------- * - * TclDisassembleByteCodeObj -- + * DisassembleByteCodeObj -- * * Given an object which is of bytecode type, return a disassembled * version of the bytecode (in a new refcount 0 object). No guarantees @@ -240,8 +242,8 @@ TclPrintSource( *---------------------------------------------------------------------- */ -Tcl_Obj * -TclDisassembleByteCodeObj( +static Tcl_Obj * +DisassembleByteCodeObj( Tcl_Interp *interp, Tcl_Obj *objPtr) /* The bytecode object to disassemble. */ { @@ -368,7 +370,7 @@ TclDisassembleByteCodeObj( rangePtr->catchOffset); break; default: - Tcl_Panic("TclDisassembleByteCodeObj: bad ExceptionRange type %d", + Tcl_Panic("DisassembleByteCodeObj: bad ExceptionRange type %d", rangePtr->type); } } @@ -1486,7 +1488,7 @@ Tcl_DisassembleObjCmd( DisassembleByteCodeAsDicts(interp, codeObjPtr)); } else { Tcl_SetObjResult(interp, - TclDisassembleByteCodeObj(interp, codeObjPtr)); + DisassembleByteCodeObj(interp, codeObjPtr)); } return TCL_OK; } diff --git a/generic/tclInt.h b/generic/tclInt.h index 9a5b4bf..42c13dd 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -3152,8 +3152,6 @@ MODULE_SCOPE void TclFinalizeThreadStorage(void); MODULE_SCOPE Tcl_WideInt TclpGetWideClicks(void); MODULE_SCOPE double TclpWideClicksToNanoseconds(Tcl_WideInt clicks); #endif -MODULE_SCOPE Tcl_Obj * TclDisassembleByteCodeObj(Tcl_Interp *interp, - Tcl_Obj *objPtr); MODULE_SCOPE int TclZlibInit(Tcl_Interp *interp); MODULE_SCOPE void * TclpThreadCreateKey(void); MODULE_SCOPE void TclpThreadDeleteKey(void *keyPtr); -- cgit v0.12 From d35ea153489e5abcf15a7e2de5a2659e72c2373b Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 18 Jan 2016 14:32:41 +0000 Subject: Eliminate some usages of Tcl_GlobalEval() and Tcl_Eval(), which are deprecated functions. --- generic/tclTest.c | 12 ++++++------ generic/tclTestProcBodyObj.c | 2 +- generic/tclThreadTest.c | 6 +++--- generic/tclTrace.c | 3 ++- generic/tclZlib.c | 4 ++-- unix/dltest/pkge.c | 2 +- 6 files changed, 15 insertions(+), 14 deletions(-) diff --git a/generic/tclTest.c b/generic/tclTest.c index 600f5ec..284d80a 100644 --- a/generic/tclTest.c +++ b/generic/tclTest.c @@ -958,7 +958,7 @@ AsyncHandlerProc( listArgv[3] = NULL; cmd = Tcl_Merge(3, listArgv); if (interp != NULL) { - code = Tcl_Eval(interp, cmd); + code = Tcl_EvalEx(interp, cmd, -1, 0); } else { /* * this should not happen, but by definition of how async handlers are @@ -1241,7 +1241,7 @@ TestcmdtraceCmd( if (strcmp(argv[1], "tracetest") == 0) { Tcl_DStringInit(&buffer); cmdTrace = Tcl_CreateTrace(interp, 50000, CmdTraceProc, &buffer); - result = Tcl_Eval(interp, argv[2]); + result = Tcl_EvalEx(interp, argv[2], -1, 0); if (result == TCL_OK) { Tcl_ResetResult(interp); Tcl_AppendResult(interp, Tcl_DStringValue(&buffer), NULL); @@ -1257,13 +1257,13 @@ TestcmdtraceCmd( */ cmdTrace = Tcl_CreateTrace(interp, 50000, CmdTraceDeleteProc, NULL); - Tcl_Eval(interp, argv[2]); + Tcl_EvalEx(interp, argv[2], -1, 0); } else if (strcmp(argv[1], "leveltest") == 0) { Interp *iPtr = (Interp *) interp; Tcl_DStringInit(&buffer); cmdTrace = Tcl_CreateTrace(interp, iPtr->numLevels + 4, CmdTraceProc, &buffer); - result = Tcl_Eval(interp, argv[2]); + result = Tcl_EvalEx(interp, argv[2], -1, 0); if (result == TCL_OK) { Tcl_ResetResult(interp); Tcl_AppendResult(interp, Tcl_DStringValue(&buffer), NULL); @@ -1987,7 +1987,7 @@ EncodingToUtfProc( TclEncoding *encodingPtr; encodingPtr = (TclEncoding *) clientData; - Tcl_GlobalEval(encodingPtr->interp, encodingPtr->toUtfCmd); + Tcl_EvalEx(encodingPtr->interp,encodingPtr->toUtfCmd,-1,TCL_EVAL_GLOBAL); len = strlen(Tcl_GetStringResult(encodingPtr->interp)); if (len > dstLen) { @@ -2019,7 +2019,7 @@ EncodingFromUtfProc( TclEncoding *encodingPtr; encodingPtr = (TclEncoding *) clientData; - Tcl_GlobalEval(encodingPtr->interp, encodingPtr->fromUtfCmd); + Tcl_EvalEx(encodingPtr->interp, encodingPtr->fromUtfCmd,-1,TCL_EVAL_GLOBAL); len = strlen(Tcl_GetStringResult(encodingPtr->interp)); if (len > dstLen) { diff --git a/generic/tclTestProcBodyObj.c b/generic/tclTestProcBodyObj.c index 0d3617e..4d32c5a 100644 --- a/generic/tclTestProcBodyObj.c +++ b/generic/tclTestProcBodyObj.c @@ -143,7 +143,7 @@ RegisterCommand( if (cmdTablePtr->exportIt) { sprintf(buf, "namespace eval %s { namespace export %s }", namespace, cmdTablePtr->cmdName); - if (Tcl_Eval(interp, buf) != TCL_OK) { + if (Tcl_EvalEx(interp, buf, -1, 0) != TCL_OK) { return TCL_ERROR; } } diff --git a/generic/tclThreadTest.c b/generic/tclThreadTest.c index 02ee038..75f8a15 100644 --- a/generic/tclThreadTest.c +++ b/generic/tclThreadTest.c @@ -613,7 +613,7 @@ NewTestThread( */ Tcl_Preserve(tsdPtr->interp); - result = Tcl_Eval(tsdPtr->interp, threadEvalScript); + result = Tcl_EvalEx(tsdPtr->interp, threadEvalScript, -1, 0); if (result != TCL_OK) { ThreadErrorProc(tsdPtr->interp); } @@ -834,7 +834,7 @@ ThreadSend( if (threadId == Tcl_GetCurrentThread()) { Tcl_MutexUnlock(&threadMutex); - return Tcl_GlobalEval(interp, script); + return Tcl_EvalEx(interp, script,-1,TCL_EVAL_GLOBAL); } /* @@ -1029,7 +1029,7 @@ ThreadEventProc( Tcl_Preserve(interp); Tcl_ResetResult(interp); Tcl_CreateThreadExitHandler(ThreadFreeProc, threadEventPtr->script); - code = Tcl_GlobalEval(interp, threadEventPtr->script); + code = Tcl_EvalEx(interp, threadEventPtr->script,-1,TCL_EVAL_GLOBAL); Tcl_DeleteThreadExitHandler(ThreadFreeProc, threadEventPtr->script); if (code != TCL_OK) { errorCode = Tcl_GetVar(interp, "errorCode", TCL_GLOBAL_ONLY); diff --git a/generic/tclTrace.c b/generic/tclTrace.c index fe52d59..4e74c54 100644 --- a/generic/tclTrace.c +++ b/generic/tclTrace.c @@ -1889,7 +1889,8 @@ TraceExecutionProc( * interpreter. */ - traceCode = Tcl_Eval(interp, Tcl_DStringValue(&cmd)); + traceCode = Tcl_EvalEx(interp, Tcl_DStringValue(&cmd), + Tcl_DStringLength(&cmd), 0); tcmdPtr->flags &= ~TCL_TRACE_EXEC_IN_PROGRESS; /* diff --git a/generic/tclZlib.c b/generic/tclZlib.c index 44dd9e0..ba3e9cb 100644 --- a/generic/tclZlib.c +++ b/generic/tclZlib.c @@ -762,7 +762,7 @@ Tcl_ZlibStreamInit( */ if (interp != NULL) { - if (Tcl_Eval(interp, "::incr ::tcl::zlib::cmdcounter") != TCL_OK) { + if (Tcl_EvalEx(interp, "::incr ::tcl::zlib::cmdcounter", -1, 0) != TCL_OK) { goto error; } Tcl_DStringInit(&cmdname); @@ -3816,7 +3816,7 @@ TclZlibInit( * commands. */ - Tcl_Eval(interp, "namespace eval ::tcl::zlib {variable cmdcounter 0}"); + Tcl_EvalEx(interp, "namespace eval ::tcl::zlib {variable cmdcounter 0}", -1, 0); /* * Create the public scripted interface to this file's functionality. diff --git a/unix/dltest/pkge.c b/unix/dltest/pkge.c index d616352..395cd0e 100644 --- a/unix/dltest/pkge.c +++ b/unix/dltest/pkge.c @@ -50,5 +50,5 @@ Pkge_Init( if (Tcl_InitStubs(interp, TCL_VERSION, 0) == NULL) { return TCL_ERROR; } - return Tcl_Eval(interp, script); + return Tcl_EvalEx(interp, script, -1, 0); } -- cgit v0.12 From 7dd65dcdd0d8e9013803356230cce9a9ac6dfef3 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 18 Jan 2016 15:00:49 +0000 Subject: One more Tcl_GlobalEval() usage. --- generic/tclTest.c | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/generic/tclTest.c b/generic/tclTest.c index 284d80a..5468c56 100644 --- a/generic/tclTest.c +++ b/generic/tclTest.c @@ -4507,7 +4507,7 @@ TestfeventCmd( return TCL_ERROR; } if (interp2 != NULL) { - code = Tcl_GlobalEval(interp2, argv[2]); + code = Tcl_EvalEx(interp2, argv[2], -1, TCL_EVAL_GLOBAL); Tcl_SetObjResult(interp, Tcl_GetObjResult(interp2)); return code; } else { -- cgit v0.12 From 28d25fa6cf8d801e60d1d41099179e356ef8ecae Mon Sep 17 00:00:00 2001 From: Joe Mistachkin Date: Tue, 19 Jan 2016 17:48:25 +0000 Subject: Update comment with TIP number. --- generic/tclBasic.c | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/generic/tclBasic.c b/generic/tclBasic.c index 0bb43cc..e5d7406 100644 --- a/generic/tclBasic.c +++ b/generic/tclBasic.c @@ -916,7 +916,7 @@ Tcl_CreateInterp(void) TclInitEmbeddedConfigurationInformation(interp); /* - * TIP #XXX: Declare the name of the script engine to be "Tcl". + * TIP #440: Declare the name of the script engine to be "Tcl". */ Tcl_SetVar2(interp, "tcl_platform", "engine", "Tcl", -- cgit v0.12 From 093b0618b6e6bef06c090aab243ad716995ba4b5 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 21 Jan 2016 13:11:15 +0000 Subject: Fix compiler warnings (discovered on latest clang/gcc6), suggested by Gustaf Neumann. All harmless, no change of functionality. --- generic/tclClock.c | 10 ++++++---- generic/tclExecute.c | 12 +++++++----- macosx/tclMacOSXBundle.c | 4 +--- 3 files changed, 14 insertions(+), 12 deletions(-) diff --git a/generic/tclClock.c b/generic/tclClock.c index 32ba145..782c681 100644 --- a/generic/tclClock.c +++ b/generic/tclClock.c @@ -562,8 +562,9 @@ ClockGetjuliandayfromerayearmonthdayObjCmd ( || TclGetIntFromObj(interp, fieldPtr, &(fields.dayOfMonth)) != TCL_OK || TclGetIntFromObj(interp, objv[2], &changeover) != TCL_OK) { - if (fieldPtr == NULL) - Tcl_SetObjResult(interp, Tcl_NewStringObj("expected key(s) not found in dictionary", -1)); + if (fieldPtr == NULL) { + Tcl_SetObjResult(interp, Tcl_NewStringObj("expected key(s) not found in dictionary", -1)); + } return TCL_ERROR; } fields.era = era; @@ -655,8 +656,9 @@ ClockGetjuliandayfromerayearweekdayObjCmd ( || fieldPtr == NULL || TclGetIntFromObj(interp, fieldPtr, &(fields.dayOfWeek)) != TCL_OK || TclGetIntFromObj(interp, objv[2], &changeover) != TCL_OK) { - if (fieldPtr == NULL) - Tcl_SetObjResult(interp, Tcl_NewStringObj("expected key(s) not found in dictionary", -1)); + if (fieldPtr == NULL) { + Tcl_SetObjResult(interp, Tcl_NewStringObj("expected key(s) not found in dictionary", -1)); + } return TCL_ERROR; } fields.era = era; diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 248b1b3..bfb9d17 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -280,6 +280,8 @@ VarHashCreateVar( #define CURR_DEPTH (tosPtr - initTosPtr) +#define STACK_BASE(esPtr) ((esPtr)->stackWords - 1) + /* * Macros used to trace instruction execution. The macros TRACE, * TRACE_WITH_OBJ, and O2S are only used inside TclExecuteByteCode. O2S is @@ -722,7 +724,7 @@ TclCreateExecEnv( esPtr->nextPtr = NULL; esPtr->markerPtr = NULL; esPtr->endPtr = &esPtr->stackWords[TCL_STACK_INITIAL_SIZE-1]; - esPtr->tosPtr = &esPtr->stackWords[-1]; + esPtr->tosPtr = STACK_BASE(esPtr); Tcl_MutexLock(&execMutex); if (!execInitialized) { @@ -934,8 +936,8 @@ GrowEvaluationStack( if (esPtr->nextPtr) { oldPtr = esPtr; esPtr = oldPtr->nextPtr; - currElems = esPtr->endPtr - &esPtr->stackWords[-1]; - if (esPtr->markerPtr || (esPtr->tosPtr != &esPtr->stackWords[-1])) { + currElems = esPtr->endPtr - STACK_BASE(esPtr); + if (esPtr->markerPtr || (esPtr->tosPtr != STACK_BASE(esPtr))) { Tcl_Panic("STACK: Stack after current is in use"); } if (esPtr->nextPtr) { @@ -947,7 +949,7 @@ GrowEvaluationStack( DeleteExecStack(esPtr); esPtr = oldPtr; } else { - currElems = esPtr->endPtr - &esPtr->stackWords[-1]; + currElems = esPtr->endPtr - STACK_BASE(esPtr); } /* @@ -1089,7 +1091,7 @@ TclStackFree( * Return to previous stack. */ - esPtr->tosPtr = &esPtr->stackWords[-1]; + esPtr->tosPtr = STACK_BASE(esPtr); if (esPtr->prevPtr) { eePtr->execStackPtr = esPtr->prevPtr; } diff --git a/macosx/tclMacOSXBundle.c b/macosx/tclMacOSXBundle.c index c4fc82d..b2a88e5 100644 --- a/macosx/tclMacOSXBundle.c +++ b/macosx/tclMacOSXBundle.c @@ -237,9 +237,7 @@ Tcl_MacOSXOpenVersionedBundleResources( } if (openresourcemap) { - short refNum; - - refNum = openresourcemap(bundleRef); + openresourcemap(bundleRef); } } -- cgit v0.12 From 0ea26c667c774bfee4e090ec52f391fad0af7ca5 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 22 Jan 2016 10:27:29 +0000 Subject: Improve code 'quality' by fixing some harmless clang/cppcheck warnings. Thanks to Gustaf Neumann. No change in functionality. --- generic/tclIORChan.c | 9 +++--- generic/tclInterp.c | 1 - generic/tclVar.c | 82 ++++++++++++++++++++++++++++++++-------------------- 3 files changed, 55 insertions(+), 37 deletions(-) diff --git a/generic/tclIORChan.c b/generic/tclIORChan.c index bbb5b88..c9939d6 100644 --- a/generic/tclIORChan.c +++ b/generic/tclIORChan.c @@ -516,7 +516,6 @@ TclChanCreateObjCmd( * Expect at least one list element. Abbreviations are ok. */ - modeObj = objv[MODE]; if (EncodeEventMask(interp, "mode", objv[MODE], &mode) != TCL_OK) { return TCL_ERROR; } @@ -1109,7 +1108,7 @@ ReflectClose( if (rcPtr->interp) { rcmPtr = GetReflectedChannelMap (rcPtr->interp); - hPtr = Tcl_FindHashEntry (&rcmPtr->map, + hPtr = Tcl_FindHashEntry (&rcmPtr->map, Tcl_GetChannelName (rcPtr->chan)); if (hPtr) { Tcl_DeleteHashEntry (hPtr); @@ -1117,7 +1116,7 @@ ReflectClose( } #ifdef TCL_THREADS rcmPtr = GetThreadReflectedChannelMap(); - hPtr = Tcl_FindHashEntry (&rcmPtr->map, + hPtr = Tcl_FindHashEntry (&rcmPtr->map, Tcl_GetChannelName (rcPtr->chan)); if (hPtr) { Tcl_DeleteHashEntry (hPtr); @@ -2750,12 +2749,12 @@ ForwardProc( */ rcmPtr = GetReflectedChannelMap (interp); - hPtr = Tcl_FindHashEntry (&rcmPtr->map, + hPtr = Tcl_FindHashEntry (&rcmPtr->map, Tcl_GetChannelName (rcPtr->chan)); Tcl_DeleteHashEntry (hPtr); rcmPtr = GetThreadReflectedChannelMap(); - hPtr = Tcl_FindHashEntry (&rcmPtr->map, + hPtr = Tcl_FindHashEntry (&rcmPtr->map, Tcl_GetChannelName (rcPtr->chan)); Tcl_DeleteHashEntry (hPtr); diff --git a/generic/tclInterp.c b/generic/tclInterp.c index 0231909..dbbf10a 100644 --- a/generic/tclInterp.c +++ b/generic/tclInterp.c @@ -1748,7 +1748,6 @@ AliasObjCmd( cmdv = (Tcl_Obj **) TclStackAlloc(interp, cmdc*(int)sizeof(Tcl_Obj*)); } - prefv = &aliasPtr->objPtr; memcpy(cmdv, prefv, (size_t) (prefc * sizeof(Tcl_Obj *))); memcpy(cmdv+prefc, objv+1, (size_t) ((objc-1) * sizeof(Tcl_Obj *))); diff --git a/generic/tclVar.c b/generic/tclVar.c index c013e8d..bdc64b7 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -916,7 +916,7 @@ TclLookupSimpleVar( * the variable. */ Namespace *varNsPtr, *cxtNsPtr, *dummy1Ptr, *dummy2Ptr; ResolverScheme *resPtr; - int isNew, i, result; + int isNew; const char *varName = TclGetString(varNamePtr); varPtr = NULL; @@ -937,6 +937,8 @@ TclLookupSimpleVar( if ((cxtNsPtr->varResProc != NULL || iPtr->resolverPtr != NULL) && !(flags & AVOID_RESOLVERS)) { + int result; + resPtr = iPtr->resolverPtr; if (cxtNsPtr->varResProc) { result = (*cxtNsPtr->varResProc)(interp, varName, @@ -1006,9 +1008,10 @@ TclLookupSimpleVar( (Tcl_Namespace *) cxtNsPtr, (flags | AVOID_RESOLVERS) & ~TCL_LEAVE_ERR_MSG); if (varPtr == NULL) { - Tcl_Obj *tailPtr; if (create) { /* Var wasn't found so create it. */ + Tcl_Obj *tailPtr; + TclGetNamespaceForQualName(interp, varName, cxtNsPtr, flags, &varNsPtr, &dummy1Ptr, &dummy2Ptr, &tail); if (varNsPtr == NULL) { @@ -1044,6 +1047,7 @@ TclLookupSimpleVar( } else { /* Local var: look in frame varFramePtr. */ int localCt = varFramePtr->numCompiledLocals; Tcl_Obj **objPtrPtr = &varFramePtr->localCachePtr->varName0; + int i; for (i=0 ; iflags & VAR_TRACED_UNSET))) { + Tcl_HashEntry *tPtr = NULL; + dummyVar.flags &= ~VAR_TRACE_ACTIVE; TclObjCallVarTraces(iPtr, arrayPtr, &dummyVar, part1Ptr, part2Ptr, (flags & (TCL_GLOBAL_ONLY|TCL_NAMESPACE_ONLY)) @@ -2581,10 +2587,8 @@ Tcl_AppendObjCmd( int objc, /* Number of arguments. */ Tcl_Obj *const objv[]) /* Argument objects. */ { - Var *varPtr, *arrayPtr; register Tcl_Obj *varValuePtr = NULL; /* Initialized to avoid compiler warning. */ - int i; if (objc < 2) { Tcl_WrongNumArgs(interp, 1, objv, "varName ?value value ...?"); @@ -2597,6 +2601,9 @@ Tcl_AppendObjCmd( return TCL_ERROR; } } else { + Var *arrayPtr, *varPtr; + int i; + varPtr = TclObjLookupVarEx(interp, objv[1], NULL, TCL_LEAVE_ERR_MSG, "set", /*createPart1*/ 1, /*createPart2*/ 1, &arrayPtr); if (varPtr == NULL) { @@ -2648,8 +2655,7 @@ Tcl_LappendObjCmd( Tcl_Obj *const objv[]) /* Argument objects. */ { Tcl_Obj *varValuePtr, *newValuePtr; - int numElems, createdNewObj; - Var *varPtr, *arrayPtr; + int numElems; int result; if (objc < 2) { @@ -2677,6 +2683,9 @@ Tcl_LappendObjCmd( } } } else { + Var *varPtr, *arrayPtr; + int createdNewObj = 0; + /* * We have arguments to append. We used to call Tcl_SetVar2 to append * each argument one at a time to ensure that traces were run for each @@ -2687,8 +2696,6 @@ Tcl_LappendObjCmd( * copy to modify: this is "copy on write". */ - createdNewObj = 0; - /* * Protect the variable pointers around the TclPtrGetVar call * to insure that they remain valid even if the variable was undefined @@ -2870,10 +2877,8 @@ Tcl_ArrayObjCmd( return TCL_ERROR; } while (1) { - Var *varPtr2; - if (searchPtr->nextEntry != NULL) { - varPtr2 = VarHashGetValue(searchPtr->nextEntry); + Var *varPtr2 = VarHashGetValue(searchPtr->nextEntry); if (!TclIsVarUndefined(varPtr2)) { break; } @@ -3303,7 +3308,6 @@ Tcl_ArrayObjCmd( case ARRAY_SIZE: { Tcl_HashSearch search; - Var *varPtr2; int size; if (objc != 3) { @@ -3318,6 +3322,8 @@ Tcl_ArrayObjCmd( */ if (!notArray) { + Var *varPtr2; + for (varPtr2=VarHashFirstVar(varPtr->value.tablePtr, &search); varPtr2!=NULL ; varPtr2=VarHashNextVar(&search)) { if (TclIsVarUndefined(varPtr2)) { @@ -3661,7 +3667,7 @@ TclPtrMakeUpvar( } /* Callers must Incr myNamePtr if they plan to Decr it. */ - + int TclPtrObjMakeUpvar( Tcl_Interp *interp, /* Interpreter containing variables. Used for @@ -3676,7 +3682,7 @@ TclPtrObjMakeUpvar( { Interp *iPtr = (Interp *) interp; CallFrame *varFramePtr = iPtr->varFramePtr; - const char *errMsg, *p, *myName; + const char *errMsg, *myName; Var *varPtr; if (index >= 0) { @@ -3687,6 +3693,7 @@ TclPtrObjMakeUpvar( myNamePtr = localName(iPtr->varFramePtr, index); myName = myNamePtr? TclGetString(myNamePtr) : NULL; } else { + const char *p; /* * Do not permit the new variable to look like an array reference, as * it will not be reachable in that case [Bug 600812, TIP 184]. The @@ -3889,8 +3896,6 @@ Tcl_GetVariableFullName( { Interp *iPtr = (Interp *) interp; register Var *varPtr = (Var *) variable; - Tcl_Obj *namePtr; - Namespace *nsPtr; /* * Add the full name of the containing namespace (if any), followed by the @@ -3899,6 +3904,9 @@ Tcl_GetVariableFullName( if (varPtr) { if (!TclIsVarArrayElement(varPtr)) { + Tcl_Obj *namePtr; + Namespace *nsPtr; + nsPtr = TclGetVarNsPtr(varPtr); if (nsPtr) { Tcl_AppendToObj(objPtr, nsPtr->fullName, -1); @@ -3952,7 +3960,7 @@ Tcl_GlobalObjCmd( register Tcl_Obj *objPtr, *tailPtr; char *varName; register char *tail; - int result, i; + int i; if (objc < 2) { Tcl_WrongNumArgs(interp, 1, objv, "varName ?varName ...?"); @@ -3968,6 +3976,8 @@ Tcl_GlobalObjCmd( } for (i=1 ; iflags & VAR_SEARCH_ACTIVE) { + ArraySearch *searchPtr, *nextPtr; + Tcl_HashEntry *sPtr; + sPtr = Tcl_FindHashEntry(&iPtr->varSearches, (char *) arrayVarPtr); for (searchPtr = (ArraySearch *) Tcl_GetHashValue(sPtr); searchPtr != NULL; searchPtr = nextPtr) { @@ -4919,9 +4930,10 @@ DupParsedVarName( register Tcl_Obj *arrayPtr = srcPtr->internalRep.twoPtrValue.ptr1; register char *elem = srcPtr->internalRep.twoPtrValue.ptr2; char *elemCopy; - unsigned int elemLen; if (arrayPtr != NULL) { + unsigned int elemLen; + Tcl_IncrRefCount(arrayPtr); elemLen = strlen(elem); elemCopy = ckalloc(elemLen+1); @@ -5048,7 +5060,6 @@ ObjFindNamespaceVar( const char *simpleName; Var *varPtr; register int search; - int result; Tcl_Var var; Tcl_Obj *simpleNamePtr; char *name = TclGetString(namePtr); @@ -5069,6 +5080,8 @@ ObjFindNamespaceVar( if (!(flags & AVOID_RESOLVERS) && (cxtNsPtr->varResProc != NULL || iPtr->resolverPtr != NULL)) { + int result; + resPtr = iPtr->resolverPtr; if (cxtNsPtr->varResProc) { @@ -5161,14 +5174,13 @@ TclInfoVarsCmd( Tcl_Obj *const objv[]) /* Argument objects. */ { Interp *iPtr = (Interp *) interp; - char *varName, *pattern; + char *pattern; const char *simplePattern; Tcl_HashSearch search; - Var *varPtr; Namespace *nsPtr; Namespace *globalNsPtr = (Namespace *) Tcl_GetGlobalNamespace(interp); Namespace *currNsPtr = (Namespace *) Tcl_GetCurrentNamespace(interp); - Tcl_Obj *listPtr, *elemObjPtr; + Tcl_Obj *listPtr; int specificNsInPattern = 0;/* Init. to avoid compiler warning. */ Tcl_Obj *simplePatternPtr = NULL, *varNamePtr; @@ -5224,6 +5236,9 @@ TclInfoVarsCmd( if (!(iPtr->varFramePtr->isProcCallFrame & FRAME_IS_PROC) || specificNsInPattern) { + Var *varPtr; + Tcl_Obj *elemObjPtr; + /* * There is no frame pointer, the frame pointer was pushed only to * activate a namespace, or we are in a procedure call frame but a @@ -5264,9 +5279,11 @@ TclInfoVarsCmd( /* * Have to scan the tables of variables. */ + char *varName; varPtr = VarHashFirstVar(&nsPtr->varTable, &search); while (varPtr) { + if (!TclIsVarUndefined(varPtr) || TclIsVarNamespaceVar(varPtr)) { varNamePtr = VarHashGetKey(varPtr); @@ -5354,11 +5371,11 @@ TclInfoGlobalsCmd( int objc, /* Number of arguments. */ Tcl_Obj *const objv[]) /* Argument objects. */ { - char *varName, *pattern; + char *pattern; Namespace *globalNsPtr = (Namespace *) Tcl_GetGlobalNamespace(interp); Tcl_HashSearch search; Var *varPtr; - Tcl_Obj *listPtr, *varNamePtr, *patternPtr; + Tcl_Obj *listPtr, *patternPtr; if (objc == 1) { pattern = NULL; @@ -5405,6 +5422,9 @@ TclInfoGlobalsCmd( for (varPtr = VarHashFirstVar(&globalNsPtr->varTable, &search); varPtr != NULL; varPtr = VarHashNextVar(&search)) { + char *varName; + Tcl_Obj *varNamePtr; + if (TclIsVarUndefined(varPtr)) { continue; } -- cgit v0.12 From 369bd95896b7a34fbcf1780fe3bcae926771ecbf Mon Sep 17 00:00:00 2001 From: Miguel Sofer Date: Sat, 23 Jan 2016 19:46:58 +0000 Subject: add a test to insure that callbacks run at the correct C-stack depth while unwinding the NRE stack. --- generic/tclTest.c | 53 +++++++++++++++++++++++++++++++++++++++++++++++++++++ tests/nre.test | 4 ++++ 2 files changed, 57 insertions(+) diff --git a/generic/tclTest.c b/generic/tclTest.c index 5468c56..2ea3016 100644 --- a/generic/tclTest.c +++ b/generic/tclTest.c @@ -412,6 +412,12 @@ static int TestNumUtfCharsCmd(ClientData clientData, static int TestHashSystemHashCmd(ClientData clientData, Tcl_Interp *interp, int objc, Tcl_Obj *const objv[]); + +static int NREUnwind_callback(ClientData data[], Tcl_Interp *interp, + int result); +static int TestNREUnwind(ClientData clientData, + Tcl_Interp *interp, int objc, + Tcl_Obj *const objv[]); static int TestNRELevels(ClientData clientData, Tcl_Interp *interp, int objc, Tcl_Obj *const objv[]); @@ -697,6 +703,8 @@ Tcltest_Init( NULL); #endif /* TCL_NO_DEPRECATED */ + Tcl_CreateObjCommand(interp, "testnreunwind", TestNREUnwind, + NULL, NULL); Tcl_CreateObjCommand(interp, "testnrelevels", TestNRELevels, NULL, NULL); Tcl_CreateObjCommand(interp, "testinterpresolver", TestInterpResolverCmd, @@ -6846,6 +6854,51 @@ TestgetintCmd( } static int +NREUnwind_callback( + ClientData data[], + Tcl_Interp *interp, + int result) +{ + int none; + + if (data[0] == INT2PTR(-1)) { + TclNRAddCallback(interp, NREUnwind_callback, &none, INT2PTR(-1), + INT2PTR(-1), NULL); + } else if (data[1] == INT2PTR(-1)) { + TclNRAddCallback(interp, NREUnwind_callback, data[0], &none, + INT2PTR(-1), NULL); + } else if (data[2] == INT2PTR(-1)) { + TclNRAddCallback(interp, NREUnwind_callback, data[0], data[1], + &none, NULL); + } else { + Tcl_Obj *idata[3]; + idata[0] = Tcl_NewIntObj((int) (data[1] - data[0])); + idata[1] = Tcl_NewIntObj((int) (data[2] - data[0])); + idata[2] = Tcl_NewIntObj((int) ((void *) &none - data[0])); + Tcl_SetObjResult(interp, Tcl_NewListObj(3, idata)); + } + return TCL_OK; +} + +static int +TestNREUnwind( + ClientData clientData, + Tcl_Interp *interp, + int objc, + Tcl_Obj *const objv[]) +{ + /* + * Insure that callbacks effectively run at the proper level during the + * unwinding of the NRE stack. + */ + + TclNRAddCallback(interp, NREUnwind_callback, INT2PTR(-1), INT2PTR(-1), + INT2PTR(-1), NULL); + return TCL_OK; +} + + +static int TestNRELevels( ClientData clientData, Tcl_Interp *interp, diff --git a/tests/nre.test b/tests/nre.test index e512eac..9df5eb1 100644 --- a/tests/nre.test +++ b/tests/nre.test @@ -64,6 +64,10 @@ if {[testConstraint testnrelevels]} { namespace import testnre::* } +test nre-0.1 {levels while unwinding} { + testnreunwind +} {0 0 0} + test nre-1.1 {self-recursive procs} -setup { proc a i [makebody {a $i}] } -body { -- cgit v0.12 From 9aefb192c71805b6be041d37310d24b5c44914cd Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Sun, 24 Jan 2016 16:52:56 +0000 Subject: Fix "make test" broken by previous commit --- generic/tclTest.c | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/generic/tclTest.c b/generic/tclTest.c index 2ea3016..63a6740 100644 --- a/generic/tclTest.c +++ b/generic/tclTest.c @@ -6862,13 +6862,13 @@ NREUnwind_callback( int none; if (data[0] == INT2PTR(-1)) { - TclNRAddCallback(interp, NREUnwind_callback, &none, INT2PTR(-1), + Tcl_NRAddCallback(interp, NREUnwind_callback, &none, INT2PTR(-1), INT2PTR(-1), NULL); } else if (data[1] == INT2PTR(-1)) { - TclNRAddCallback(interp, NREUnwind_callback, data[0], &none, + Tcl_NRAddCallback(interp, NREUnwind_callback, data[0], &none, INT2PTR(-1), NULL); } else if (data[2] == INT2PTR(-1)) { - TclNRAddCallback(interp, NREUnwind_callback, data[0], data[1], + Tcl_NRAddCallback(interp, NREUnwind_callback, data[0], data[1], &none, NULL); } else { Tcl_Obj *idata[3]; @@ -6892,7 +6892,7 @@ TestNREUnwind( * unwinding of the NRE stack. */ - TclNRAddCallback(interp, NREUnwind_callback, INT2PTR(-1), INT2PTR(-1), + Tcl_NRAddCallback(interp, NREUnwind_callback, INT2PTR(-1), INT2PTR(-1), INT2PTR(-1), NULL); return TCL_OK; } -- cgit v0.12 From 628d65bf41110410632aa9f7e3e4a42c67603f15 Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 28 Jan 2016 13:42:33 +0000 Subject: RefineApproximation() leaked twoMv and twoMd in one of its exits. --- generic/tclStrToD.c | 2 ++ unix/tclConfig.h.in | 26 ++++++-------------------- 2 files changed, 8 insertions(+), 20 deletions(-) diff --git a/generic/tclStrToD.c b/generic/tclStrToD.c index cff9bdd..d05fe5d 100644 --- a/generic/tclStrToD.c +++ b/generic/tclStrToD.c @@ -1903,6 +1903,8 @@ RefineApproximation( rteSignificand = frexp(approxResult, &rteExponent); rteSigWide = (Tcl_WideInt) ldexp(rteSignificand, FP_PRECISION); if ((rteSigWide & 1) == 0) { + mp_clear(&twoMd); + mp_clear(&twoMv); return approxResult; } } diff --git a/unix/tclConfig.h.in b/unix/tclConfig.h.in index 710949f..9774ce9 100644 --- a/unix/tclConfig.h.in +++ b/unix/tclConfig.h.in @@ -4,9 +4,6 @@ #ifndef _TCLCONFIG #define _TCLCONFIG -/* Define if building universal (internal helper macro) */ -#undef AC_APPLE_UNIVERSAL_BUILD - /* Is pthread_attr_get_np() declared in ? */ #undef ATTRGETNP_NOT_DECLARED @@ -199,10 +196,10 @@ /* Is 'struct stat64' in ? */ #undef HAVE_STRUCT_STAT64 -/* Define to 1 if `st_blksize' is a member of `struct stat'. */ +/* Define to 1 if `st_blksize' is member of `struct stat'. */ #undef HAVE_STRUCT_STAT_ST_BLKSIZE -/* Define to 1 if `st_blocks' is a member of `struct stat'. */ +/* Define to 1 if `st_blocks' is member of `struct stat'. */ #undef HAVE_STRUCT_STAT_ST_BLOCKS /* Define to 1 if you have the header file. */ @@ -337,9 +334,6 @@ /* Define to the one symbol short name of this package. */ #undef PACKAGE_TARNAME -/* Define to the home page for this package. */ -#undef PACKAGE_URL - /* Define to the version of this package. */ #undef PACKAGE_VERSION @@ -433,17 +427,9 @@ /* Should we use vfork() instead of fork()? */ #undef USE_VFORK -/* Define WORDS_BIGENDIAN to 1 if your processor stores words with the most - significant byte first (like Motorola and SPARC, unlike Intel). */ -#if defined AC_APPLE_UNIVERSAL_BUILD -# if defined __BIG_ENDIAN__ -# define WORDS_BIGENDIAN 1 -# endif -#else -# ifndef WORDS_BIGENDIAN -# undef WORDS_BIGENDIAN -# endif -#endif +/* Define to 1 if your processor stores words with the most significant byte + first (like Motorola and SPARC, unlike Intel and VAX). */ +#undef WORDS_BIGENDIAN /* Are Darwin SUSv3 extensions available? */ #undef _DARWIN_C_SOURCE @@ -498,7 +484,7 @@ /* Define to `int' if does not define. */ #undef pid_t -/* Define to `unsigned int' if does not define. */ +/* Define to `unsigned' if does not define. */ #undef size_t /* Define as int if socklen_t is not available */ -- cgit v0.12 From a1db6470b525c61a75fc26133b821ca98d6c66df Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 28 Jan 2016 17:33:21 +0000 Subject: Bump to 8.6.5 --- README | 2 +- generic/tcl.h | 4 ++-- library/init.tcl | 2 +- unix/configure | 2 +- unix/configure.in | 2 +- unix/tcl.spec | 2 +- win/configure | 2 +- win/configure.in | 2 +- 8 files changed, 9 insertions(+), 9 deletions(-) diff --git a/README b/README index f63e0e7..f3e50dd 100644 --- a/README +++ b/README @@ -1,5 +1,5 @@ README: Tcl - This is the Tcl 8.6.4 source distribution. + This is the Tcl 8.6.5 source distribution. http://sourceforge.net/projects/tcl/files/Tcl/ You can get any source release of Tcl from the URL above. diff --git a/generic/tcl.h b/generic/tcl.h index a08edde..3490049 100644 --- a/generic/tcl.h +++ b/generic/tcl.h @@ -56,10 +56,10 @@ extern "C" { #define TCL_MAJOR_VERSION 8 #define TCL_MINOR_VERSION 6 #define TCL_RELEASE_LEVEL TCL_FINAL_RELEASE -#define TCL_RELEASE_SERIAL 4 +#define TCL_RELEASE_SERIAL 5 #define TCL_VERSION "8.6" -#define TCL_PATCH_LEVEL "8.6.4" +#define TCL_PATCH_LEVEL "8.6.5" /* *---------------------------------------------------------------------------- diff --git a/library/init.tcl b/library/init.tcl index 85900d2..9fd2170 100644 --- a/library/init.tcl +++ b/library/init.tcl @@ -16,7 +16,7 @@ if {[info commands package] == ""} { error "version mismatch: library\nscripts expect Tcl version 7.5b1 or later but the loaded version is\nonly [info patchlevel]" } -package require -exact Tcl 8.6.4 +package require -exact Tcl 8.6.5 # Compute the auto path to use in this interpreter. # The values on the path come from several locations: diff --git a/unix/configure b/unix/configure index c19a77a..2e774f7 100755 --- a/unix/configure +++ b/unix/configure @@ -1335,7 +1335,7 @@ ac_compiler_gnu=$ac_cv_c_compiler_gnu TCL_VERSION=8.6 TCL_MAJOR_VERSION=8 TCL_MINOR_VERSION=6 -TCL_PATCH_LEVEL=".4" +TCL_PATCH_LEVEL=".5" VERSION=${TCL_VERSION} EXTRA_INSTALL_BINARIES=${EXTRA_INSTALL_BINARIES:-"@:"} diff --git a/unix/configure.in b/unix/configure.in index c7b0edc..5d4cfbe 100644 --- a/unix/configure.in +++ b/unix/configure.in @@ -25,7 +25,7 @@ m4_ifdef([SC_USE_CONFIG_HEADERS], [ TCL_VERSION=8.6 TCL_MAJOR_VERSION=8 TCL_MINOR_VERSION=6 -TCL_PATCH_LEVEL=".4" +TCL_PATCH_LEVEL=".5" VERSION=${TCL_VERSION} EXTRA_INSTALL_BINARIES=${EXTRA_INSTALL_BINARIES:-"@:"} diff --git a/unix/tcl.spec b/unix/tcl.spec index 1b8693f..3044311 100644 --- a/unix/tcl.spec +++ b/unix/tcl.spec @@ -4,7 +4,7 @@ Name: tcl Summary: Tcl scripting language development environment -Version: 8.6.4 +Version: 8.6.5 Release: 2 License: BSD Group: Development/Languages diff --git a/win/configure b/win/configure index 3ebc697..2336111 100755 --- a/win/configure +++ b/win/configure @@ -1311,7 +1311,7 @@ SHELL=/bin/sh TCL_VERSION=8.6 TCL_MAJOR_VERSION=8 TCL_MINOR_VERSION=6 -TCL_PATCH_LEVEL=".4" +TCL_PATCH_LEVEL=".5" VER=$TCL_MAJOR_VERSION$TCL_MINOR_VERSION TCL_DDE_VERSION=1.4 diff --git a/win/configure.in b/win/configure.in index 9e9df90..a72b993 100644 --- a/win/configure.in +++ b/win/configure.in @@ -14,7 +14,7 @@ SHELL=/bin/sh TCL_VERSION=8.6 TCL_MAJOR_VERSION=8 TCL_MINOR_VERSION=6 -TCL_PATCH_LEVEL=".4" +TCL_PATCH_LEVEL=".5" VER=$TCL_MAJOR_VERSION$TCL_MINOR_VERSION TCL_DDE_VERSION=1.4 -- cgit v0.12 From 3fa3e3b2d59022f67a190c83e215f789ce836e2e Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 29 Jan 2016 09:46:56 +0000 Subject: Fix gcc'ism. Not all compilers can substract two void pointers. --- generic/tclTest.c | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/generic/tclTest.c b/generic/tclTest.c index 63a6740..9794f59 100644 --- a/generic/tclTest.c +++ b/generic/tclTest.c @@ -6872,9 +6872,9 @@ NREUnwind_callback( &none, NULL); } else { Tcl_Obj *idata[3]; - idata[0] = Tcl_NewIntObj((int) (data[1] - data[0])); - idata[1] = Tcl_NewIntObj((int) (data[2] - data[0])); - idata[2] = Tcl_NewIntObj((int) ((void *) &none - data[0])); + idata[0] = Tcl_NewIntObj((int) ((char *) data[1] - (char *) data[0])); + idata[1] = Tcl_NewIntObj((int) ((char *) data[2] - (char *) data[0])); + idata[2] = Tcl_NewIntObj((int) ((char *) &none - (char *) data[0])); Tcl_SetObjResult(interp, Tcl_NewListObj(3, idata)); } return TCL_OK; -- cgit v0.12 From 4dfcbbea544e672812bc7d4de3b7571e14cccc22 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 29 Jan 2016 13:38:54 +0000 Subject: Implement TIP #440: Add engine to tcl_platform Array --- doc/tclvars.n | 5 +++++ generic/tclBasic.c | 7 +++++++ tests/platform.test | 6 +++++- tests/safe.test | 2 +- 4 files changed, 18 insertions(+), 2 deletions(-) diff --git a/doc/tclvars.n b/doc/tclvars.n index 84823e0..9aa14d5 100644 --- a/doc/tclvars.n +++ b/doc/tclvars.n @@ -254,6 +254,11 @@ so extension writers can specify which package to load depending on the C run-time library that is in use. This is not an indication that this core contains symbols. .TP +\fBengine\fR +. +The name of the Tcl language implementation. When the interpreter is first +created, this is always set to the string \fBTcl\fR. +.TP \fBmachine\fR The instruction set executed by this machine, such as \fBintel\fR, \fBPPC\fR, \fB68k\fR, or \fBsun4m\fR. On UNIX machines, this diff --git a/generic/tclBasic.c b/generic/tclBasic.c index 89d6b8f..44cf543 100644 --- a/generic/tclBasic.c +++ b/generic/tclBasic.c @@ -790,6 +790,13 @@ Tcl_CreateInterp(void) TclInitEmbeddedConfigurationInformation(interp); /* + * TIP #440: Declare the name of the script engine to be "Tcl". + */ + + Tcl_SetVar2(interp, "tcl_platform", "engine", "Tcl", + TCL_GLOBAL_ONLY); + + /* * Compute the byte order of this machine. */ diff --git a/tests/platform.test b/tests/platform.test index 51b9067..2f1cd70 100644 --- a/tests/platform.test +++ b/tests/platform.test @@ -20,6 +20,10 @@ namespace eval ::tcl::test::platform { testConstraint testCPUID [llength [info commands testcpuid]] +test platform-1.0 {tcl_platform(engine)} { + set tcl_platform(engine) +} {Tcl} + test platform-1.1 {TclpSetVariables: tcl_platform} { interp create i i eval {catch {unset tcl_platform(debug)}} @@ -27,7 +31,7 @@ test platform-1.1 {TclpSetVariables: tcl_platform} { set result [i eval {lsort [array names tcl_platform]}] interp delete i set result -} {byteOrder machine os osVersion platform pointerSize user wordSize} +} {byteOrder engine machine os osVersion platform pointerSize user wordSize} # Test assumes twos-complement arithmetic, which is true of virtually # everything these days. Note that this does *not* use wide(), and diff --git a/tests/safe.test b/tests/safe.test index 8879518..6784bb9 100644 --- a/tests/safe.test +++ b/tests/safe.test @@ -166,7 +166,7 @@ test safe-6.3 {test safe interpreters knowledge of the world} { set r [lreplace $r $threaded $threaded] } set r -} {byteOrder platform pointerSize wordSize} +} {byteOrder engine platform pointerSize wordSize} # more test should be added to check that hostname, nameofexecutable, # aren't leaking infos, but they still do... -- cgit v0.12 From 05a77f3559bff860de052d23fb8cdefdadd53b3c Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 1 Feb 2016 21:39:44 +0000 Subject: Backout the contributed patch memaccounting from Postgres since it changes the protections incompatibly and causes established tests to crash. --- generic/regc_nfa.c | 84 +++++++++++++++++++++++++++++++++++++++++++++--------- generic/regcomp.c | 2 -- generic/regerrs.h | 2 +- generic/regex.h | 2 +- generic/regguts.h | 16 +++++------ tests/regexp.test | 2 +- 6 files changed, 80 insertions(+), 28 deletions(-) diff --git a/generic/regc_nfa.c b/generic/regc_nfa.c index 6280e5e..d155b23 100644 --- a/generic/regc_nfa.c +++ b/generic/regc_nfa.c @@ -62,6 +62,7 @@ newnfa( nfa->nstates = 0; nfa->cm = cm; nfa->v = v; + nfa->size = 0; nfa->bos[0] = nfa->bos[1] = COLORLESS; nfa->eos[0] = nfa->eos[1] = COLORLESS; nfa->parent = parent; /* Precedes newfstate so parent is valid. */ @@ -89,6 +90,61 @@ newnfa( } /* + - TooManyStates - checks if the max states exceeds the compile-time value + ^ static int TooManyStates(struct nfa *); + */ +static int +TooManyStates( + struct nfa *nfa) +{ + struct nfa *parent = nfa->parent; + size_t sz = nfa->size; + + while (parent != NULL) { + sz = parent->size; + parent = parent->parent; + } + if (sz > REG_MAX_STATES) { + return 1; + } + return 0; +} + +/* + - IncrementSize - increases the tracked size of the NFA and its parents. + ^ static void IncrementSize(struct nfa *); + */ +static void +IncrementSize( + struct nfa *nfa) +{ + struct nfa *parent = nfa->parent; + + nfa->size++; + while (parent != NULL) { + parent->size++; + parent = parent->parent; + } +} + +/* + - DecrementSize - increases the tracked size of the NFA and its parents. + ^ static void DecrementSize(struct nfa *); + */ +static void +DecrementSize( + struct nfa *nfa) +{ + struct nfa *parent = nfa->parent; + + nfa->size--; + while (parent != NULL) { + parent->size--; + parent = parent->parent; + } +} + +/* - freenfa - free an entire NFA ^ static VOID freenfa(struct nfa *); */ @@ -124,20 +180,20 @@ newstate( { struct state *s; + if (TooManyStates(nfa)) { + /* XXX: add specific error for this */ + NERR(REG_ETOOBIG); + return NULL; + } if (nfa->free != NULL) { s = nfa->free; nfa->free = s->next; } else { - if (nfa->v->spaceused >= REG_MAX_COMPILE_SPACE) { - NERR(REG_ETOOBIG); - return NULL; - } s = (struct state *) MALLOC(sizeof(struct state)); if (s == NULL) { NERR(REG_ESPACE); return NULL; } - nfa->v->spaceused += sizeof(struct state); s->oas.next = NULL; s->free = NULL; s->noas = 0; @@ -161,6 +217,12 @@ newstate( } s->prev = nfa->slast; nfa->slast = s; + + /* + * Track the current size and the parent size. + */ + + IncrementSize(nfa); return s; } @@ -231,6 +293,7 @@ freestate( s->prev = NULL; s->next = nfa->free; /* don't delete it, put it on the free list */ nfa->free = s; + DecrementSize(nfa); } /* @@ -249,13 +312,11 @@ destroystate( for (ab=s->oas.next ; ab!=NULL ; ab=abnext) { abnext = ab->next; FREE(ab); - nfa->v->spaceused -= sizeof(struct arcbatch); } s->ins = NULL; s->outs = NULL; s->next = NULL; FREE(s); - nfa->v->spaceused -= sizeof(struct state); } /* @@ -378,19 +439,14 @@ allocarc( */ if (s->free == NULL) { - struct arcbatch *newAb; + struct arcbatch *newAb = (struct arcbatch *) + MALLOC(sizeof(struct arcbatch)); int i; - if (nfa->v->spaceused >= REG_MAX_COMPILE_SPACE) { - NERR(REG_ETOOBIG); - return NULL; - } - newAb = (struct arcbatch *) MALLOC(sizeof(struct arcbatch)); if (newAb == NULL) { NERR(REG_ESPACE); return NULL; } - nfa->v->spaceused += sizeof(struct arcbatch); newAb->next = s->oas.next; s->oas.next = newAb; diff --git a/generic/regcomp.c b/generic/regcomp.c index 8287b7e..fda40e0 100644 --- a/generic/regcomp.c +++ b/generic/regcomp.c @@ -227,7 +227,6 @@ struct vars { struct cvec *cv2; /* utility cvec */ struct subre *lacons; /* lookahead-constraint vector */ int nlacons; /* size of lacons */ - size_t spaceused; /* approx. space used for compilation */ }; /* parsing macros; most know that `v' is the struct vars pointer */ @@ -337,7 +336,6 @@ compile( v->cv2 = NULL; v->lacons = NULL; v->nlacons = 0; - v->spaceused = 0; re->re_magic = REMAGIC; re->re_info = 0; /* bits get set during parse */ re->re_csize = sizeof(chr); diff --git a/generic/regerrs.h b/generic/regerrs.h index ee203d5..72548ff 100644 --- a/generic/regerrs.h +++ b/generic/regerrs.h @@ -16,5 +16,5 @@ { REG_INVARG, "REG_INVARG", "invalid argument to regex function" }, { REG_MIXED, "REG_MIXED", "character widths of regex and string differ" }, { REG_BADOPT, "REG_BADOPT", "invalid embedded option" }, -{ REG_ETOOBIG, "REG_ETOOBIG", "regular expression is too complex" }, +{ REG_ETOOBIG, "REG_ETOOBIG", "nfa has too many states" }, { REG_ECOLORS, "REG_ECOLORS", "too many colors" }, diff --git a/generic/regex.h b/generic/regex.h index b5b11bd..b5dce50 100644 --- a/generic/regex.h +++ b/generic/regex.h @@ -277,7 +277,7 @@ typedef struct { #define REG_INVARG 16 /* invalid argument to regex function */ #define REG_MIXED 17 /* character widths of regex and string differ */ #define REG_BADOPT 18 /* invalid embedded option */ -#define REG_ETOOBIG 19 /* regular expression is too complex */ +#define REG_ETOOBIG 19 /* nfa has too many states */ #define REG_ECOLORS 20 /* too many colors */ /* two specials for debugging and testing */ #define REG_ATOI 101 /* convert error-code name to number */ diff --git a/generic/regguts.h b/generic/regguts.h index 72bdcb3..7ed8ec1 100644 --- a/generic/regguts.h +++ b/generic/regguts.h @@ -307,6 +307,9 @@ struct nfa { struct colormap *cm; /* the color map */ color bos[2]; /* colors, if any, assigned to BOS and BOL */ color eos[2]; /* colors, if any, assigned to EOS and EOL */ + size_t size; /* Current NFA size; differs from nstates as + * it also counts the number of states created + * by children of this state. */ struct vars *v; /* simplifies compile error reporting */ struct nfa *parent; /* parent NFA, if any */ }; @@ -336,16 +339,11 @@ struct cnfa { #define NULLCNFA(cnfa) ((cnfa).nstates == 0) /* - * This symbol limits the transient heap space used by the regex compiler, - * and thereby also the maximum complexity of NFAs that we'll deal with. - * Currently we only count NFA states and arcs against this; the other - * transient data is generally not large enough to notice compared to those. - * Note that we do not charge anything for the final output data structures - * (the compacted NFA and the colormap). + * Used to limit the maximum NFA size to something sane. [Bug 1810264] */ -#ifndef REG_MAX_COMPILE_SPACE -#define REG_MAX_COMPILE_SPACE \ - (100000 * sizeof(struct state) + 100000 * sizeof(struct arcbatch)) + +#ifndef REG_MAX_STATES +# define REG_MAX_STATES 100000 #endif /* diff --git a/tests/regexp.test b/tests/regexp.test index 7878d41..362f425 100644 --- a/tests/regexp.test +++ b/tests/regexp.test @@ -716,7 +716,7 @@ test regexp-22.4 {Bug 3606139} -setup { [a 668]([a 55])[a 668]([a 55])[a 668]([a 55])[a 511]] {}] a } -cleanup { rename a {} -} -returnCodes 1 -match glob -result {couldn't compile regular expression pattern: *} +} -returnCodes 1 -result {couldn't compile regular expression pattern: nfa has too many states} test regexp-22.5 {Bug 3610026} -setup { set e {} set cp 99 -- cgit v0.12 From 8b4717e9ad0214e985ed2fe6ee6d673b9d1cf603 Mon Sep 17 00:00:00 2001 From: dkf Date: Wed, 3 Feb 2016 15:29:04 +0000 Subject: [25842c161] Prevent zero-length compress actions in [zlib] streaming API. --- generic/tclZlib.c | 33 ++++++++++++++++++--------------- tests/zlib.test | 6 ++++++ 2 files changed, 24 insertions(+), 15 deletions(-) diff --git a/generic/tclZlib.c b/generic/tclZlib.c index ba3e9cb..6f1d225 100644 --- a/generic/tclZlib.c +++ b/generic/tclZlib.c @@ -1164,6 +1164,14 @@ Tcl_ZlibStreamPut( zshPtr->stream.next_in = Tcl_GetByteArrayFromObj(data, &size); zshPtr->stream.avail_in = size; + /* + * Must not do a zero-length compress. [Bug 25842c161] + */ + + if (size == 0) { + return TCL_OK; + } + if (HaveDictToSet(zshPtr)) { e = SetDeflateDictionary(&zshPtr->stream, zshPtr->compDictObj); if (e != Z_OK) { @@ -1186,32 +1194,27 @@ Tcl_ZlibStreamPut( zshPtr->stream.next_out = (Bytef *) dataTmp; e = deflate(&zshPtr->stream, flush); - if ((e==Z_OK || e==Z_BUF_ERROR) && (zshPtr->stream.avail_out == 0)) { - if (outSize - zshPtr->stream.avail_out > 0) { - /* - * Output buffer too small. - */ - - obj = Tcl_NewByteArrayObj((unsigned char *) dataTmp, - outSize - zshPtr->stream.avail_out); + while (e == Z_BUF_ERROR) { + /* + * Output buffer too small to hold the data being generated; so + * put a new buffer into place after saving the old generated + * data to the outData list. + */ - /* - * Now append the compressed data to the outData list. - */ + obj = Tcl_NewByteArrayObj((unsigned char *) dataTmp, outSize); + Tcl_ListObjAppendElement(NULL, zshPtr->outData, obj); - Tcl_ListObjAppendElement(NULL, zshPtr->outData, obj); - } if (outSize < 0xFFFF) { outSize = 0xFFFF; /* There may be *lots* of data left to * output... */ - ckfree(dataTmp); - dataTmp = ckalloc(outSize); + dataTmp = ckrealloc(dataTmp, outSize); } zshPtr->stream.avail_out = outSize; zshPtr->stream.next_out = (Bytef *) dataTmp; e = deflate(&zshPtr->stream, flush); } + if (e != Z_OK && !(flush==Z_FINISH && e==Z_STREAM_END)) { if (zshPtr->interp) { ConvertError(zshPtr->interp, e, zshPtr->stream.adler); diff --git a/tests/zlib.test b/tests/zlib.test index b1d43fb..7a486ba 100644 --- a/tests/zlib.test +++ b/tests/zlib.test @@ -132,6 +132,12 @@ test zlib-7.6 {zlib stream} zlib { $s close lappend result $data } {{} 69f34b6a abcdeEDCBA..} +test zlib-7.7 {zlib stream: Bug 25842c161} -constraints zlib -body { + set s [zlib stream deflate] + $s put {} +} -cleanup { + catch {$s close} +} -result "" test zlib-8.1 {zlib transformation} -constraints zlib -setup { set file [makeFile {} test.gz] -- cgit v0.12 From 006eb9afe0f425b8dba4ee017492ddded2836d9e Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 4 Feb 2016 21:05:02 +0000 Subject: [cf74deb33c] Plug memleaks in class teardown. --- generic/tclOO.c | 39 +++++++++++++++++---------------------- 1 file changed, 17 insertions(+), 22 deletions(-) diff --git a/generic/tclOO.c b/generic/tclOO.c index 34eb5ad..4697054 100644 --- a/generic/tclOO.c +++ b/generic/tclOO.c @@ -913,6 +913,10 @@ ClearMixins( int i; Class *mixinPtr; + if (clsPtr->mixins.num == 0) { + return; + } + FOREACH(mixinPtr, clsPtr->mixins) { TclOORemoveFromMixinSubs(clsPtr, mixinPtr); } @@ -927,6 +931,10 @@ ClearSuperclasses( int i; Class *superPtr; + if (clsPtr->superclasses.num == 0) { + return; + } + FOREACH(superPtr, clsPtr->superclasses) { TclOORemoveFromSubclasses(clsPtr, superPtr); } @@ -1002,16 +1010,11 @@ ReleaseClassContents( */ FOREACH(mixinSubclassPtr, clsPtr->mixinSubs) { - if (mixinSubclassPtr == NULL) { - continue; - } if (!Deleted(mixinSubclassPtr->thisPtr)) { Tcl_DeleteCommandFromToken(interp, mixinSubclassPtr->thisPtr->command); } - if (mixinSubclassPtr->mixins.num) { - ClearMixins(mixinSubclassPtr); - } + ClearMixins(mixinSubclassPtr); DelRef(mixinSubclassPtr->thisPtr); DelRef(mixinSubclassPtr); } @@ -1026,15 +1029,13 @@ ReleaseClassContents( */ FOREACH(subclassPtr, clsPtr->subclasses) { - if (subclassPtr == NULL || IsRoot(subclassPtr)) { + if (IsRoot(subclassPtr)) { continue; } if (!Deleted(subclassPtr->thisPtr)) { Tcl_DeleteCommandFromToken(interp, subclassPtr->thisPtr->command); } - if (subclassPtr->superclasses.num) { - ClearSuperclasses(subclassPtr); - } + ClearSuperclasses(subclassPtr); DelRef(subclassPtr->thisPtr); DelRef(subclassPtr); } @@ -1251,12 +1252,10 @@ ObjectNamespaceDeleted( clsPtr->filters.num = 0; } - if (clsPtr->mixins.num) { - ClearMixins(clsPtr); - } - if (clsPtr->superclasses.num) { - ClearSuperclasses(clsPtr); - } + ClearMixins(clsPtr); + + ClearSuperclasses(clsPtr); + if (clsPtr->subclasses.list) { ckfree(clsPtr->subclasses.list); clsPtr->subclasses.num = 0; @@ -1398,9 +1397,7 @@ TclOORemoveFromSubclasses( return; removeSubclass: - if (Deleted(superPtr->thisPtr)) { - superPtr->subclasses.list[i] = NULL; - } else { + if (!Deleted(superPtr->thisPtr)) { superPtr->subclasses.num--; if (i < superPtr->subclasses.num) { superPtr->subclasses.list[i] = @@ -1471,9 +1468,7 @@ TclOORemoveFromMixinSubs( return; removeSubclass: - if (Deleted(superPtr->thisPtr)) { - superPtr->mixinSubs.list[i] = NULL; - } else { + if (!Deleted(superPtr->thisPtr)) { superPtr->mixinSubs.num--; if (i < superPtr->mixinSubs.num) { superPtr->mixinSubs.list[i] = -- cgit v0.12 From dba2afb18ab071ead67a0d02265405609a89f87c Mon Sep 17 00:00:00 2001 From: dkf Date: Fri, 5 Feb 2016 14:36:28 +0000 Subject: Clean up the handling of buffer limit exceeding when flushing a zlib transform. --- generic/tclZlib.c | 85 ++++++++++++++++++++++++++++++++++++++----------------- 1 file changed, 59 insertions(+), 26 deletions(-) diff --git a/generic/tclZlib.c b/generic/tclZlib.c index 6f1d225..50d9a30 100644 --- a/generic/tclZlib.c +++ b/generic/tclZlib.c @@ -3109,6 +3109,64 @@ ZlibTransformOutput( /* *---------------------------------------------------------------------- * + * ZlibTransformFlush -- + * + * How to perform a flush of a compressing transform. + * + *---------------------------------------------------------------------- + */ + +static int +ZlibTransformFlush( + Tcl_Interp *interp, + ZlibChannelData *cd, + int flushType) +{ + int e, len; + + cd->outStream.avail_in = 0; + do { + /* + * Get the bytes to go out of the compression engine. + */ + + cd->outStream.next_out = (Bytef *) cd->outBuffer; + cd->outStream.avail_out = cd->outAllocated; + + e = deflate(&cd->outStream, flushType); + if (e != Z_OK && e != Z_BUF_ERROR) { + ConvertError(interp, e, cd->outStream.adler); + return TCL_ERROR; + } + + /* + * Write the bytes we've received to the next layer. + */ + + len = cd->outStream.next_out - (Bytef *) cd->outBuffer; + if (len > 0 && Tcl_WriteRaw(cd->parent, cd->outBuffer, len) < 0) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "problem flushing channel: %s", + Tcl_PosixError(interp))); + return TCL_ERROR; + } + + /* + * If we get to this point, either we're in the Z_OK or the + * Z_BUF_ERROR state. In the former case, we're done. In the latter + * case, it's because there's more bytes to go than would fit in the + * buffer we provided, and we need to go round again to get some more. + * + * We also stop the loop if we would have done a zero-length write. + * Those can cause problems at the OS level. + */ + } while (len > 0 && e == Z_BUF_ERROR); + return TCL_OK; +} + +/* + *---------------------------------------------------------------------- + * * ZlibTransformSetOption -- * * Writing side of [fconfigure] on our channel. @@ -3181,32 +3239,7 @@ ZlibTransformSetOption( /* not used */ * Try to actually do the flush now. */ - cd->outStream.avail_in = 0; - while (1) { - int e; - - cd->outStream.next_out = (Bytef *) cd->outBuffer; - cd->outStream.avail_out = cd->outAllocated; - - e = deflate(&cd->outStream, flushType); - if (e == Z_BUF_ERROR) { - break; - } else if (e != Z_OK) { - ConvertError(interp, e, cd->outStream.adler); - return TCL_ERROR; - } else if (cd->outStream.avail_out == 0) { - break; - } - - if (Tcl_WriteRaw(cd->parent, cd->outBuffer, - cd->outStream.next_out - (Bytef *) cd->outBuffer)<0) { - Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "problem flushing channel: %s", - Tcl_PosixError(interp))); - return TCL_ERROR; - } - } - return TCL_OK; + return ZlibTransformFlush(interp, cd, flushType); } } else { if (optionName && strcmp(optionName, "-limit") == 0) { -- cgit v0.12 From b1598dbddda53d7d5886bc8ae50a5b2f8901a1d8 Mon Sep 17 00:00:00 2001 From: dkf Date: Fri, 5 Feb 2016 16:31:00 +0000 Subject: Tweaking some comments for clarity. --- generic/tclOO.c | 23 ++++++++++++++++++++--- 1 file changed, 20 insertions(+), 3 deletions(-) diff --git a/generic/tclOO.c b/generic/tclOO.c index 4697054..9df5029 100644 --- a/generic/tclOO.c +++ b/generic/tclOO.c @@ -898,10 +898,10 @@ ObjectRenamedTrace( /* * ---------------------------------------------------------------------- * - * ReleaseClassContents -- + * ClearMixins, ClearSuperclasses -- * - * Tear down the special class data structure, including deleting all - * dependent classes and objects. + * Utility functions for correctly clearing the list of mixins or + * superclasses of a class. Will ckfree() the list storage. * * ---------------------------------------------------------------------- */ @@ -921,6 +921,7 @@ ClearMixins( TclOORemoveFromMixinSubs(clsPtr, mixinPtr); } ckfree(clsPtr->mixins.list); + clsPtr->mixins.list = NULL; clsPtr->mixins.num = 0; } @@ -939,8 +940,20 @@ ClearSuperclasses( TclOORemoveFromSubclasses(clsPtr, superPtr); } ckfree(clsPtr->superclasses.list); + clsPtr->superclasses.list = NULL; clsPtr->superclasses.num = 0; } + +/* + * ---------------------------------------------------------------------- + * + * ReleaseClassContents -- + * + * Tear down the special class data structure, including deleting all + * dependent classes and objects. + * + * ---------------------------------------------------------------------- + */ static void ReleaseClassContents( @@ -1231,6 +1244,10 @@ ObjectNamespaceDeleted( oPtr->metadataPtr = NULL; } + /* + * If this was a class, there's additional deletion work to do. + */ + if (clsPtr != NULL) { Tcl_ObjectMetadataType *metadataTypePtr; ClientData value; -- cgit v0.12 From eab0689b8f5f5f454f8a363c4d09c3cefdc94b63 Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 8 Feb 2016 20:42:59 +0000 Subject: update release date --- changes | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/changes b/changes index 3a93f5a..ab37d98 100644 --- a/changes +++ b/changes @@ -7977,4 +7977,4 @@ improvements to regexp engine from Postgres (lane,porter,fellows,seltenreich) 2016-01-29 (TIP 440) tcl_platform(engine) -- Tcl implementation (mistachkin) ---- Released 8.5.19, January 31, 2016 --- http://core.tcl.tk/tcl/ for details +--- Released 8.5.19, February 12, 2016 --- http://core.tcl.tk/tcl/ for details -- cgit v0.12 From 0260a79109b7ac74aa3ef49221b411aacedc695f Mon Sep 17 00:00:00 2001 From: dkf Date: Thu, 11 Feb 2016 09:27:00 +0000 Subject: Fix minor formatting glitch --- doc/file.n | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/doc/file.n b/doc/file.n index 4c6465a..cef3c64 100644 --- a/doc/file.n +++ b/doc/file.n @@ -23,7 +23,7 @@ substitution is done before executing the command (see the manual entry for file name. Any unique abbreviation for \fIoption\fR is acceptable. The valid options are: .TP -\fBfile atime \fIname\fR ?\fBtime\fR? +\fBfile atime \fIname\fR ?\fItime\fR? . Returns a decimal string giving the time at which file \fIname\fR was last accessed. If \fItime\fR is specified, it is an access time to set @@ -34,9 +34,9 @@ generated. On Windows, FAT file systems do not support access time. .TP \fBfile attributes \fIname\fR .TP -\fBfile attributes \fIname\fR ?\fBoption\fR? +\fBfile attributes \fIname\fR ?\fIoption\fR? .TP -\fBfile attributes \fIname\fR ?\fBoption value option value...\fR? +\fBfile attributes \fIname\fR ?\fIoption value option value...\fR? . This subcommand returns or sets platform specific values associated with a file. The first form returns a list of the platform specific -- cgit v0.12 From f7ea5b6cc57fafcbcb3377e83fdbc4d999d123d4 Mon Sep 17 00:00:00 2001 From: dkf Date: Thu, 11 Feb 2016 09:31:31 +0000 Subject: Fix a few more very minor formatting glitches. --- doc/file.n | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/doc/file.n b/doc/file.n index cef3c64..9f89f6d 100644 --- a/doc/file.n +++ b/doc/file.n @@ -80,7 +80,7 @@ set to the value 0, which results in the resource fork being stripped off the file. .RE .TP -\fBfile channels ?\fIpattern\fR? +\fBfile channels\fR ?\fIpattern\fR? . If \fIpattern\fR is not specified, returns a list of names of all registered open channels in this interpreter. If \fIpattern\fR is @@ -203,7 +203,7 @@ is always canonical for the current platform: \fB/\fR for Unix and Windows. .RE .TP -\fBfile link ?\fI\-linktype\fR? \fIlinkName\fR ?\fItarget\fR? +\fBfile link\fR ?\fI\-linktype\fR? \fIlinkName\fR ?\fItarget\fR? . If only one argument is given, that argument is assumed to be \fIlinkName\fR, and this command returns the value of the link given by @@ -255,7 +255,7 @@ is for the link rather than the file it refers to. On systems that do not support symbolic links this option behaves exactly the same as the \fBstat\fR option. .TP -\fBfile mkdir ?\fIdir\fR ...? +\fBfile mkdir\fR ?\fIdir\fR ...? . Creates each directory specified. For each pathname \fIdir\fR specified, this command will create all non-existing parent directories as -- cgit v0.12 From 03dd6c13603af9d6792030412f52d942fc2eaefd Mon Sep 17 00:00:00 2001 From: gahr Date: Wed, 17 Feb 2016 11:03:48 +0000 Subject: [5f71353740] Support the "weekdays" unit in [clock add] --- doc/clock.n | 13 ++++++------- library/clock.tcl | 56 +++++++++++++++++++++++++++++++++++++++++++++++++++---- tests/clock.test | 37 ++++++++++++++++++++++++++++++++++++ 3 files changed, 95 insertions(+), 11 deletions(-) diff --git a/doc/clock.n b/doc/clock.n index 889a5da..53db33e 100644 --- a/doc/clock.n +++ b/doc/clock.n @@ -89,10 +89,9 @@ have 59 or 61 seconds. .TP \fIunit\fR One of the words, \fBseconds\fR, \fBminutes\fR, \fBhours\fR, -\fBdays\fR, \fBweeks\fR, \fBmonths\fR, or \fByears\fR, or -any unique prefix of such a word. Used in conjunction with \fIcount\fR -to identify an interval of time, for example, \fI3 seconds\fR or -\fI1 year\fR. +\fBdays\fR, \fBweekdays\fR, \fBweeks\fR, \fBmonths\fR, or \fByears\fR. +Used in conjunction with \fIcount\fR to identify an interval of time, +for example, \fI3 seconds\fR or \fI1 year\fR. .SS "OPTIONS" .TP \fB\-base\fR time @@ -175,8 +174,7 @@ given as its first argument. The remaining arguments (other than the possible \fB\-timezone\fR, \fB\-locale\fR and \fB\-gmt\fR options) are integers and keywords in alternation, where the keywords are chosen from \fBseconds\fR, \fBminutes\fR, \fBhours\fR, -\fBdays\fR, \fBweeks\fR, \fBmonths\fR, or \fByears\fR, or -any unique prefix of such a word. +\fBdays\fR, \fBweekdays\fR, \fBweeks\fR, \fBmonths\fR, or \fByears\fR. .PP Addition of seconds, minutes and hours is fairly straightforward; the given time increment (times sixty for minutes, or 3600 for hours) @@ -213,7 +211,8 @@ the given time to a calendar day and time of day in the appropriate time zone and locale. The requisite number of days (weeks are converted to days by multiplying by seven) is added to the calendar day, and the date and time are then converted back to a count of seconds from -the epoch time. +the epoch time. The \fBweekdays\fR keyword is similar to \fBdays\fR, +with the only difference that weekends are skipped. .PP Adding and subtracting a given number of days across the point that the time changes at the start or end of summer time (Daylight Saving Time) diff --git a/library/clock.tcl b/library/clock.tcl index 8e4b657..231f1ae 100755 --- a/library/clock.tcl +++ b/library/clock.tcl @@ -4248,7 +4248,7 @@ proc ::tcl::clock::add { clockval args } { ?-gmt boolean? ?-locale LOCALE? ?-timezone ZONE?\"" } if { [catch { expr {wide($clockval)} } result] } { - return -code error $result + return -code error "expected integer but got \"$clockval\"" } set offsets {} @@ -4287,9 +4287,6 @@ proc ::tcl::clock::add { clockval args } { -errorcode [list CLOCK gmtWithTimezone] \ "cannot use -gmt and -timezone in same call" } - if { [catch { expr { wide($clockval) } } result] } { - return -code error "expected integer but got \"$clockval\"" - } if { ![string is boolean -strict $gmt] } { return -code error "expected boolean value but got \"$gmt\"" } elseif { $gmt } { @@ -4326,6 +4323,11 @@ proc ::tcl::clock::add { clockval args } { $changeover] } + weekdays - weekday { + set clockval [AddWeekDays $quantity $clockval $timezone \ + $changeover] + } + hours - hour { set clockval [expr { 3600 * $quantity + $clockval }] } @@ -4425,6 +4427,52 @@ proc ::tcl::clock::AddMonths { months clockval timezone changeover } { #---------------------------------------------------------------------- # +# AddWeekDays -- +# +# Add a given number of week days (skipping Saturdays and Sundays) +# to a given clock value in a given time zone. +# +# Parameters: +# days - Number of days to add (may be negative) +# clockval - Seconds since the epoch before the operation +# timezone - Time zone in which the operation is to be performed +# changeover - Julian Day on which the Gregorian calendar was adopted +# in the target locale. +# +# Results: +# Returns the new clock value as a number of seconds since the epoch. +# +# Side effects: +# None. +# +#---------------------------------------------------------------------- + +proc ::tcl::clock::AddWeekDays { days clockval timezone changeover } { + + set day [format $clockval -format %u] + + set weeks [expr {$days / 5}] + set rdays [expr {$days % 5}] + set toAdd [expr {7 * $weeks + $rdays}] + set resDay [expr {$day + ($toAdd % 7)}] + + # Adjust if we start from a weekend + if {$day > 5} { + set adj [expr {5 - $day}] + incr toAdd $adj + incr resDay $adj + } + + # Adjust if we end up on a weekend + if {$resDay > 5} { + incr toAdd 2 + } + + AddDays $toAdd $clockval $timezone $changeover +} + +#---------------------------------------------------------------------- +# # AddDays -- # # Add a given number of days to a given clock value in a given time diff --git a/tests/clock.test b/tests/clock.test index 615f3a8..fc7992d 100644 --- a/tests/clock.test +++ b/tests/clock.test @@ -34992,6 +34992,10 @@ test clock-29.1800 {time parsing} { } 86399 # END testcases29 + +# BEGIN testcases30 + +# Test [clock add] test clock-30.1 {clock add years} { set t [clock scan 2000-01-01 -format %Y-%m-%d -timezone :UTC] set f [clock add $t 1 year -timezone :UTC] @@ -35218,6 +35222,39 @@ test clock-30.25 {clock add seconds at DST conversion} { set x1 [clock format $f1 -format {%Y-%m-%d %H:%M:%S %z} \ -timezone EST05:00EDT04:00,M4.1.0/02:00,M10.5.0/02:00] } {2004-10-31 01:00:00 -0500} +test clock-30.26 {clock add weekdays} { + set t [clock scan {2013-11-20}] ;# Wednesday + set f1 [clock add $t 3 weekdays] + set x1 [clock format $f1 -format {%Y-%m-%d}] +} {2013-11-25} +test clock-30.27 {clock add weekdays starting on Saturday} { + set t [clock scan {2013-11-23}] ;# Saturday + set f1 [clock add $t 1 weekday] + set x1 [clock format $f1 -format {%Y-%m-%d}] +} {2013-11-25} +test clock-30.28 {clock add weekdays starting on Sunday} { + set t [clock scan {2013-11-24}] ;# Sunday + set f1 [clock add $t 1 weekday] + set x1 [clock format $f1 -format {%Y-%m-%d}] +} {2013-11-25} +test clock-30.29 {clock add weekdays systematic} -body { + set n [clock seconds] + set d [clock format $n -format %u] + for {set i 1} {$i < 100} {incr i} { + set res_no [clock format [clock add $n $i weekdays] -format %u] + set exp_mod [expr {($d+$i)%5}] + if {$exp_mod == 0} { + set exp_mod 5 + } + if {$res_no != $exp_mod} { + return "Got $res_no adding $i to $n, expected: $exp_mod" + } + } + return "OK" +} -result {OK} + +# END testcases30 + test clock-31.1 {system locale} \ -constraints win \ -- cgit v0.12 From 52862d4aeb45df2aad6c9d0b2ef00fcb89790be8 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 19 Feb 2016 10:49:57 +0000 Subject: Proposed fix for [9b47029467631832]: testing existence of env(some_thing) destroys traces. Was the comment [http://core.tcl.tk/tcl/artifact/f93c0675115b73ce?ln=554|here] not correct after all?. --- generic/tclEnv.c | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/generic/tclEnv.c b/generic/tclEnv.c index 2cb240d..66ddb57 100644 --- a/generic/tclEnv.c +++ b/generic/tclEnv.c @@ -551,7 +551,8 @@ TclGetEnv( * array. * * Results: - * Always returns NULL to indicate success. + * Returns NULL to indicate success, or an error-message if the array + * element being handled doesn't exist. * * Side effects: * Environment variable changes get propagated. If the whole "env" array @@ -609,8 +610,7 @@ EnvTraceProc( const char *value = TclGetEnv(name2, &valueString); if (value == NULL) { - Tcl_UnsetVar2(interp, name1, name2, 0); - return NULL; + return (char *) "no such variable"; } Tcl_SetVar2(interp, name1, name2, value, 0); Tcl_DStringFree(&valueString); -- cgit v0.12 From 5a2bdabcbd24d2e6cf0483f1e6ae68d17abff108 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 19 Feb 2016 13:37:11 +0000 Subject: Update to tzdata2016a. --- library/tzdata/America/Cayman | 177 +--------------------- library/tzdata/America/Metlakatla | 169 +++++++++++++++++++++ library/tzdata/America/Santa_Isabel | 285 +----------------------------------- library/tzdata/Asia/Chita | 1 + library/tzdata/Asia/Karachi | 4 +- library/tzdata/Asia/Tehran | 124 ++++++++++++++++ 6 files changed, 302 insertions(+), 458 deletions(-) diff --git a/library/tzdata/America/Cayman b/library/tzdata/America/Cayman index 5231ca9..92ce5e2 100644 --- a/library/tzdata/America/Cayman +++ b/library/tzdata/America/Cayman @@ -1,176 +1,5 @@ # created by tools/tclZIC.tcl - do not edit - -set TZData(:America/Cayman) { - {-9223372036854775808 -19532 0 LMT} - {-2524502068 -18431 0 KMT} - {-1827687169 -18000 0 EST} - {1451624400 -18000 0 EST} - {1457852400 -14400 1 EDT} - {1478412000 -18000 0 EST} - {1489302000 -14400 1 EDT} - {1509861600 -18000 0 EST} - {1520751600 -14400 1 EDT} - {1541311200 -18000 0 EST} - {1552201200 -14400 1 EDT} - {1572760800 -18000 0 EST} - {1583650800 -14400 1 EDT} - {1604210400 -18000 0 EST} - {1615705200 -14400 1 EDT} - {1636264800 -18000 0 EST} - {1647154800 -14400 1 EDT} - {1667714400 -18000 0 EST} - {1678604400 -14400 1 EDT} - {1699164000 -18000 0 EST} - {1710054000 -14400 1 EDT} - {1730613600 -18000 0 EST} - {1741503600 -14400 1 EDT} - {1762063200 -18000 0 EST} - {1772953200 -14400 1 EDT} - {1793512800 -18000 0 EST} - {1805007600 -14400 1 EDT} - {1825567200 -18000 0 EST} - {1836457200 -14400 1 EDT} - {1857016800 -18000 0 EST} - {1867906800 -14400 1 EDT} - {1888466400 -18000 0 EST} - {1899356400 -14400 1 EDT} - {1919916000 -18000 0 EST} - {1930806000 -14400 1 EDT} - {1951365600 -18000 0 EST} - {1962860400 -14400 1 EDT} - {1983420000 -18000 0 EST} - {1994310000 -14400 1 EDT} - {2014869600 -18000 0 EST} - {2025759600 -14400 1 EDT} - {2046319200 -18000 0 EST} - {2057209200 -14400 1 EDT} - {2077768800 -18000 0 EST} - {2088658800 -14400 1 EDT} - {2109218400 -18000 0 EST} - {2120108400 -14400 1 EDT} - {2140668000 -18000 0 EST} - {2152162800 -14400 1 EDT} - {2172722400 -18000 0 EST} - {2183612400 -14400 1 EDT} - {2204172000 -18000 0 EST} - {2215062000 -14400 1 EDT} - {2235621600 -18000 0 EST} - {2246511600 -14400 1 EDT} - {2267071200 -18000 0 EST} - {2277961200 -14400 1 EDT} - {2298520800 -18000 0 EST} - {2309410800 -14400 1 EDT} - {2329970400 -18000 0 EST} - {2341465200 -14400 1 EDT} - {2362024800 -18000 0 EST} - {2372914800 -14400 1 EDT} - {2393474400 -18000 0 EST} - {2404364400 -14400 1 EDT} - {2424924000 -18000 0 EST} - {2435814000 -14400 1 EDT} - {2456373600 -18000 0 EST} - {2467263600 -14400 1 EDT} - {2487823200 -18000 0 EST} - {2499318000 -14400 1 EDT} - {2519877600 -18000 0 EST} - {2530767600 -14400 1 EDT} - {2551327200 -18000 0 EST} - {2562217200 -14400 1 EDT} - {2582776800 -18000 0 EST} - {2593666800 -14400 1 EDT} - {2614226400 -18000 0 EST} - {2625116400 -14400 1 EDT} - {2645676000 -18000 0 EST} - {2656566000 -14400 1 EDT} - {2677125600 -18000 0 EST} - {2688620400 -14400 1 EDT} - {2709180000 -18000 0 EST} - {2720070000 -14400 1 EDT} - {2740629600 -18000 0 EST} - {2751519600 -14400 1 EDT} - {2772079200 -18000 0 EST} - {2782969200 -14400 1 EDT} - {2803528800 -18000 0 EST} - {2814418800 -14400 1 EDT} - {2834978400 -18000 0 EST} - {2846473200 -14400 1 EDT} - {2867032800 -18000 0 EST} - {2877922800 -14400 1 EDT} - {2898482400 -18000 0 EST} - {2909372400 -14400 1 EDT} - {2929932000 -18000 0 EST} - {2940822000 -14400 1 EDT} - {2961381600 -18000 0 EST} - {2972271600 -14400 1 EDT} - {2992831200 -18000 0 EST} - {3003721200 -14400 1 EDT} - {3024280800 -18000 0 EST} - {3035775600 -14400 1 EDT} - {3056335200 -18000 0 EST} - {3067225200 -14400 1 EDT} - {3087784800 -18000 0 EST} - {3098674800 -14400 1 EDT} - {3119234400 -18000 0 EST} - {3130124400 -14400 1 EDT} - {3150684000 -18000 0 EST} - {3161574000 -14400 1 EDT} - {3182133600 -18000 0 EST} - {3193023600 -14400 1 EDT} - {3213583200 -18000 0 EST} - {3225078000 -14400 1 EDT} - {3245637600 -18000 0 EST} - {3256527600 -14400 1 EDT} - {3277087200 -18000 0 EST} - {3287977200 -14400 1 EDT} - {3308536800 -18000 0 EST} - {3319426800 -14400 1 EDT} - {3339986400 -18000 0 EST} - {3350876400 -14400 1 EDT} - {3371436000 -18000 0 EST} - {3382930800 -14400 1 EDT} - {3403490400 -18000 0 EST} - {3414380400 -14400 1 EDT} - {3434940000 -18000 0 EST} - {3445830000 -14400 1 EDT} - {3466389600 -18000 0 EST} - {3477279600 -14400 1 EDT} - {3497839200 -18000 0 EST} - {3508729200 -14400 1 EDT} - {3529288800 -18000 0 EST} - {3540178800 -14400 1 EDT} - {3560738400 -18000 0 EST} - {3572233200 -14400 1 EDT} - {3592792800 -18000 0 EST} - {3603682800 -14400 1 EDT} - {3624242400 -18000 0 EST} - {3635132400 -14400 1 EDT} - {3655692000 -18000 0 EST} - {3666582000 -14400 1 EDT} - {3687141600 -18000 0 EST} - {3698031600 -14400 1 EDT} - {3718591200 -18000 0 EST} - {3730086000 -14400 1 EDT} - {3750645600 -18000 0 EST} - {3761535600 -14400 1 EDT} - {3782095200 -18000 0 EST} - {3792985200 -14400 1 EDT} - {3813544800 -18000 0 EST} - {3824434800 -14400 1 EDT} - {3844994400 -18000 0 EST} - {3855884400 -14400 1 EDT} - {3876444000 -18000 0 EST} - {3887334000 -14400 1 EDT} - {3907893600 -18000 0 EST} - {3919388400 -14400 1 EDT} - {3939948000 -18000 0 EST} - {3950838000 -14400 1 EDT} - {3971397600 -18000 0 EST} - {3982287600 -14400 1 EDT} - {4002847200 -18000 0 EST} - {4013737200 -14400 1 EDT} - {4034296800 -18000 0 EST} - {4045186800 -14400 1 EDT} - {4065746400 -18000 0 EST} - {4076636400 -14400 1 EDT} - {4097196000 -18000 0 EST} +if {![info exists TZData(America/Panama)]} { + LoadTimeZoneFile America/Panama } +set TZData(:America/Cayman) $TZData(:America/Panama) diff --git a/library/tzdata/America/Metlakatla b/library/tzdata/America/Metlakatla index 8ea80fa..407948d 100644 --- a/library/tzdata/America/Metlakatla +++ b/library/tzdata/America/Metlakatla @@ -40,4 +40,173 @@ set TZData(:America/Metlakatla) { {404902800 -28800 0 PST} {420026400 -25200 1 PDT} {436356000 -28800 0 PST} + {1446372000 -32400 0 AKST} + {1457866800 -28800 1 AKDT} + {1478426400 -32400 0 AKST} + {1489316400 -28800 1 AKDT} + {1509876000 -32400 0 AKST} + {1520766000 -28800 1 AKDT} + {1541325600 -32400 0 AKST} + {1552215600 -28800 1 AKDT} + {1572775200 -32400 0 AKST} + {1583665200 -28800 1 AKDT} + {1604224800 -32400 0 AKST} + {1615719600 -28800 1 AKDT} + {1636279200 -32400 0 AKST} + {1647169200 -28800 1 AKDT} + {1667728800 -32400 0 AKST} + {1678618800 -28800 1 AKDT} + {1699178400 -32400 0 AKST} + {1710068400 -28800 1 AKDT} + {1730628000 -32400 0 AKST} + {1741518000 -28800 1 AKDT} + {1762077600 -32400 0 AKST} + {1772967600 -28800 1 AKDT} + {1793527200 -32400 0 AKST} + {1805022000 -28800 1 AKDT} + {1825581600 -32400 0 AKST} + {1836471600 -28800 1 AKDT} + {1857031200 -32400 0 AKST} + {1867921200 -28800 1 AKDT} + {1888480800 -32400 0 AKST} + {1899370800 -28800 1 AKDT} + {1919930400 -32400 0 AKST} + {1930820400 -28800 1 AKDT} + {1951380000 -32400 0 AKST} + {1962874800 -28800 1 AKDT} + {1983434400 -32400 0 AKST} + {1994324400 -28800 1 AKDT} + {2014884000 -32400 0 AKST} + {2025774000 -28800 1 AKDT} + {2046333600 -32400 0 AKST} + {2057223600 -28800 1 AKDT} + {2077783200 -32400 0 AKST} + {2088673200 -28800 1 AKDT} + {2109232800 -32400 0 AKST} + {2120122800 -28800 1 AKDT} + {2140682400 -32400 0 AKST} + {2152177200 -28800 1 AKDT} + {2172736800 -32400 0 AKST} + {2183626800 -28800 1 AKDT} + {2204186400 -32400 0 AKST} + {2215076400 -28800 1 AKDT} + {2235636000 -32400 0 AKST} + {2246526000 -28800 1 AKDT} + {2267085600 -32400 0 AKST} + {2277975600 -28800 1 AKDT} + {2298535200 -32400 0 AKST} + {2309425200 -28800 1 AKDT} + {2329984800 -32400 0 AKST} + {2341479600 -28800 1 AKDT} + {2362039200 -32400 0 AKST} + {2372929200 -28800 1 AKDT} + {2393488800 -32400 0 AKST} + {2404378800 -28800 1 AKDT} + {2424938400 -32400 0 AKST} + {2435828400 -28800 1 AKDT} + {2456388000 -32400 0 AKST} + {2467278000 -28800 1 AKDT} + {2487837600 -32400 0 AKST} + {2499332400 -28800 1 AKDT} + {2519892000 -32400 0 AKST} + {2530782000 -28800 1 AKDT} + {2551341600 -32400 0 AKST} + {2562231600 -28800 1 AKDT} + {2582791200 -32400 0 AKST} + {2593681200 -28800 1 AKDT} + {2614240800 -32400 0 AKST} + {2625130800 -28800 1 AKDT} + {2645690400 -32400 0 AKST} + {2656580400 -28800 1 AKDT} + {2677140000 -32400 0 AKST} + {2688634800 -28800 1 AKDT} + {2709194400 -32400 0 AKST} + {2720084400 -28800 1 AKDT} + {2740644000 -32400 0 AKST} + {2751534000 -28800 1 AKDT} + {2772093600 -32400 0 AKST} + {2782983600 -28800 1 AKDT} + {2803543200 -32400 0 AKST} + {2814433200 -28800 1 AKDT} + {2834992800 -32400 0 AKST} + {2846487600 -28800 1 AKDT} + {2867047200 -32400 0 AKST} + {2877937200 -28800 1 AKDT} + {2898496800 -32400 0 AKST} + {2909386800 -28800 1 AKDT} + {2929946400 -32400 0 AKST} + {2940836400 -28800 1 AKDT} + {2961396000 -32400 0 AKST} + {2972286000 -28800 1 AKDT} + {2992845600 -32400 0 AKST} + {3003735600 -28800 1 AKDT} + {3024295200 -32400 0 AKST} + {3035790000 -28800 1 AKDT} + {3056349600 -32400 0 AKST} + {3067239600 -28800 1 AKDT} + {3087799200 -32400 0 AKST} + {3098689200 -28800 1 AKDT} + {3119248800 -32400 0 AKST} + {3130138800 -28800 1 AKDT} + {3150698400 -32400 0 AKST} + {3161588400 -28800 1 AKDT} + {3182148000 -32400 0 AKST} + {3193038000 -28800 1 AKDT} + {3213597600 -32400 0 AKST} + {3225092400 -28800 1 AKDT} + {3245652000 -32400 0 AKST} + {3256542000 -28800 1 AKDT} + {3277101600 -32400 0 AKST} + {3287991600 -28800 1 AKDT} + {3308551200 -32400 0 AKST} + {3319441200 -28800 1 AKDT} + {3340000800 -32400 0 AKST} + {3350890800 -28800 1 AKDT} + {3371450400 -32400 0 AKST} + {3382945200 -28800 1 AKDT} + {3403504800 -32400 0 AKST} + {3414394800 -28800 1 AKDT} + {3434954400 -32400 0 AKST} + {3445844400 -28800 1 AKDT} + {3466404000 -32400 0 AKST} + {3477294000 -28800 1 AKDT} + {3497853600 -32400 0 AKST} + {3508743600 -28800 1 AKDT} + {3529303200 -32400 0 AKST} + {3540193200 -28800 1 AKDT} + {3560752800 -32400 0 AKST} + {3572247600 -28800 1 AKDT} + {3592807200 -32400 0 AKST} + {3603697200 -28800 1 AKDT} + {3624256800 -32400 0 AKST} + {3635146800 -28800 1 AKDT} + {3655706400 -32400 0 AKST} + {3666596400 -28800 1 AKDT} + {3687156000 -32400 0 AKST} + {3698046000 -28800 1 AKDT} + {3718605600 -32400 0 AKST} + {3730100400 -28800 1 AKDT} + {3750660000 -32400 0 AKST} + {3761550000 -28800 1 AKDT} + {3782109600 -32400 0 AKST} + {3792999600 -28800 1 AKDT} + {3813559200 -32400 0 AKST} + {3824449200 -28800 1 AKDT} + {3845008800 -32400 0 AKST} + {3855898800 -28800 1 AKDT} + {3876458400 -32400 0 AKST} + {3887348400 -28800 1 AKDT} + {3907908000 -32400 0 AKST} + {3919402800 -28800 1 AKDT} + {3939962400 -32400 0 AKST} + {3950852400 -28800 1 AKDT} + {3971412000 -32400 0 AKST} + {3982302000 -28800 1 AKDT} + {4002861600 -32400 0 AKST} + {4013751600 -28800 1 AKDT} + {4034311200 -32400 0 AKST} + {4045201200 -28800 1 AKDT} + {4065760800 -32400 0 AKST} + {4076650800 -28800 1 AKDT} + {4097210400 -32400 0 AKST} } diff --git a/library/tzdata/America/Santa_Isabel b/library/tzdata/America/Santa_Isabel index 87cb5a8..a3a3b4f 100644 --- a/library/tzdata/America/Santa_Isabel +++ b/library/tzdata/America/Santa_Isabel @@ -1,284 +1,5 @@ # created by tools/tclZIC.tcl - do not edit - -set TZData(:America/Santa_Isabel) { - {-9223372036854775808 -27568 0 LMT} - {-1514736000 -25200 0 MST} - {-1451667600 -28800 0 PST} - {-1343062800 -25200 0 MST} - {-1234803600 -28800 0 PST} - {-1222963200 -25200 1 PDT} - {-1207242000 -28800 0 PST} - {-873820800 -25200 1 PWT} - {-769395600 -25200 1 PPT} - {-761677200 -28800 0 PST} - {-686073600 -25200 1 PDT} - {-661539600 -28800 0 PST} - {-504892800 -28800 0 PST} - {-495036000 -25200 1 PDT} - {-481734000 -28800 0 PST} - {-463586400 -25200 1 PDT} - {-450284400 -28800 0 PST} - {-431532000 -25200 1 PDT} - {-418230000 -28800 0 PST} - {-400082400 -25200 1 PDT} - {-386780400 -28800 0 PST} - {-368632800 -25200 1 PDT} - {-355330800 -28800 0 PST} - {-337183200 -25200 1 PDT} - {-323881200 -28800 0 PST} - {-305733600 -25200 1 PDT} - {-292431600 -28800 0 PST} - {-283968000 -28800 0 PST} - {189331200 -28800 0 PST} - {199274400 -25200 1 PDT} - {215600400 -28800 0 PST} - {230724000 -25200 1 PDT} - {247050000 -28800 0 PST} - {262778400 -25200 1 PDT} - {278499600 -28800 0 PST} - {294228000 -25200 1 PDT} - {309949200 -28800 0 PST} - {325677600 -25200 1 PDT} - {341398800 -28800 0 PST} - {357127200 -25200 1 PDT} - {372848400 -28800 0 PST} - {388576800 -25200 1 PDT} - {404902800 -28800 0 PST} - {420026400 -25200 1 PDT} - {436352400 -28800 0 PST} - {452080800 -25200 1 PDT} - {467802000 -28800 0 PST} - {483530400 -25200 1 PDT} - {499251600 -28800 0 PST} - {514980000 -25200 1 PDT} - {530701200 -28800 0 PST} - {544615200 -25200 1 PDT} - {562150800 -28800 0 PST} - {576064800 -25200 1 PDT} - {594205200 -28800 0 PST} - {607514400 -25200 1 PDT} - {625654800 -28800 0 PST} - {638964000 -25200 1 PDT} - {657104400 -28800 0 PST} - {671018400 -25200 1 PDT} - {688554000 -28800 0 PST} - {702468000 -25200 1 PDT} - {720003600 -28800 0 PST} - {733917600 -25200 1 PDT} - {752058000 -28800 0 PST} - {765367200 -25200 1 PDT} - {783507600 -28800 0 PST} - {796816800 -25200 1 PDT} - {814957200 -28800 0 PST} - {820483200 -28800 0 PST} - {828871200 -25200 1 PDT} - {846406800 -28800 0 PST} - {860320800 -25200 1 PDT} - {877856400 -28800 0 PST} - {891770400 -25200 1 PDT} - {909306000 -28800 0 PST} - {923220000 -25200 1 PDT} - {941360400 -28800 0 PST} - {954669600 -25200 1 PDT} - {972810000 -28800 0 PST} - {978336000 -28800 0 PST} - {986119200 -25200 1 PDT} - {1004259600 -28800 0 PST} - {1014192000 -28800 0 PST} - {1018173600 -25200 1 PDT} - {1035709200 -28800 0 PST} - {1049623200 -25200 1 PDT} - {1067158800 -28800 0 PST} - {1081072800 -25200 1 PDT} - {1099213200 -28800 0 PST} - {1112522400 -25200 1 PDT} - {1130662800 -28800 0 PST} - {1143972000 -25200 1 PDT} - {1162112400 -28800 0 PST} - {1175421600 -25200 1 PDT} - {1193562000 -28800 0 PST} - {1207476000 -25200 1 PDT} - {1225011600 -28800 0 PST} - {1238925600 -25200 1 PDT} - {1256461200 -28800 0 PST} - {1270375200 -25200 1 PDT} - {1288515600 -28800 0 PST} - {1301824800 -25200 1 PDT} - {1319965200 -28800 0 PST} - {1333274400 -25200 1 PDT} - {1351414800 -28800 0 PST} - {1365328800 -25200 1 PDT} - {1382864400 -28800 0 PST} - {1396778400 -25200 1 PDT} - {1414314000 -28800 0 PST} - {1428228000 -25200 1 PDT} - {1445763600 -28800 0 PST} - {1459677600 -25200 1 PDT} - {1477818000 -28800 0 PST} - {1491127200 -25200 1 PDT} - {1509267600 -28800 0 PST} - {1522576800 -25200 1 PDT} - {1540717200 -28800 0 PST} - {1554631200 -25200 1 PDT} - {1572166800 -28800 0 PST} - {1586080800 -25200 1 PDT} - {1603616400 -28800 0 PST} - {1617530400 -25200 1 PDT} - {1635670800 -28800 0 PST} - {1648980000 -25200 1 PDT} - {1667120400 -28800 0 PST} - {1680429600 -25200 1 PDT} - {1698570000 -28800 0 PST} - {1712484000 -25200 1 PDT} - {1730019600 -28800 0 PST} - {1743933600 -25200 1 PDT} - {1761469200 -28800 0 PST} - {1775383200 -25200 1 PDT} - {1792918800 -28800 0 PST} - {1806832800 -25200 1 PDT} - {1824973200 -28800 0 PST} - {1838282400 -25200 1 PDT} - {1856422800 -28800 0 PST} - {1869732000 -25200 1 PDT} - {1887872400 -28800 0 PST} - {1901786400 -25200 1 PDT} - {1919322000 -28800 0 PST} - {1933236000 -25200 1 PDT} - {1950771600 -28800 0 PST} - {1964685600 -25200 1 PDT} - {1982826000 -28800 0 PST} - {1996135200 -25200 1 PDT} - {2014275600 -28800 0 PST} - {2027584800 -25200 1 PDT} - {2045725200 -28800 0 PST} - {2059034400 -25200 1 PDT} - {2077174800 -28800 0 PST} - {2091088800 -25200 1 PDT} - {2108624400 -28800 0 PST} - {2122538400 -25200 1 PDT} - {2140074000 -28800 0 PST} - {2153988000 -25200 1 PDT} - {2172128400 -28800 0 PST} - {2185437600 -25200 1 PDT} - {2203578000 -28800 0 PST} - {2216887200 -25200 1 PDT} - {2235027600 -28800 0 PST} - {2248941600 -25200 1 PDT} - {2266477200 -28800 0 PST} - {2280391200 -25200 1 PDT} - {2297926800 -28800 0 PST} - {2311840800 -25200 1 PDT} - {2329376400 -28800 0 PST} - {2343290400 -25200 1 PDT} - {2361430800 -28800 0 PST} - {2374740000 -25200 1 PDT} - {2392880400 -28800 0 PST} - {2406189600 -25200 1 PDT} - {2424330000 -28800 0 PST} - {2438244000 -25200 1 PDT} - {2455779600 -28800 0 PST} - {2469693600 -25200 1 PDT} - {2487229200 -28800 0 PST} - {2501143200 -25200 1 PDT} - {2519283600 -28800 0 PST} - {2532592800 -25200 1 PDT} - {2550733200 -28800 0 PST} - {2564042400 -25200 1 PDT} - {2582182800 -28800 0 PST} - {2596096800 -25200 1 PDT} - {2613632400 -28800 0 PST} - {2627546400 -25200 1 PDT} - {2645082000 -28800 0 PST} - {2658996000 -25200 1 PDT} - {2676531600 -28800 0 PST} - {2690445600 -25200 1 PDT} - {2708586000 -28800 0 PST} - {2721895200 -25200 1 PDT} - {2740035600 -28800 0 PST} - {2753344800 -25200 1 PDT} - {2771485200 -28800 0 PST} - {2785399200 -25200 1 PDT} - {2802934800 -28800 0 PST} - {2816848800 -25200 1 PDT} - {2834384400 -28800 0 PST} - {2848298400 -25200 1 PDT} - {2866438800 -28800 0 PST} - {2879748000 -25200 1 PDT} - {2897888400 -28800 0 PST} - {2911197600 -25200 1 PDT} - {2929338000 -28800 0 PST} - {2942647200 -25200 1 PDT} - {2960787600 -28800 0 PST} - {2974701600 -25200 1 PDT} - {2992237200 -28800 0 PST} - {3006151200 -25200 1 PDT} - {3023686800 -28800 0 PST} - {3037600800 -25200 1 PDT} - {3055741200 -28800 0 PST} - {3069050400 -25200 1 PDT} - {3087190800 -28800 0 PST} - {3100500000 -25200 1 PDT} - {3118640400 -28800 0 PST} - {3132554400 -25200 1 PDT} - {3150090000 -28800 0 PST} - {3164004000 -25200 1 PDT} - {3181539600 -28800 0 PST} - {3195453600 -25200 1 PDT} - {3212989200 -28800 0 PST} - {3226903200 -25200 1 PDT} - {3245043600 -28800 0 PST} - {3258352800 -25200 1 PDT} - {3276493200 -28800 0 PST} - {3289802400 -25200 1 PDT} - {3307942800 -28800 0 PST} - {3321856800 -25200 1 PDT} - {3339392400 -28800 0 PST} - {3353306400 -25200 1 PDT} - {3370842000 -28800 0 PST} - {3384756000 -25200 1 PDT} - {3402896400 -28800 0 PST} - {3416205600 -25200 1 PDT} - {3434346000 -28800 0 PST} - {3447655200 -25200 1 PDT} - {3465795600 -28800 0 PST} - {3479709600 -25200 1 PDT} - {3497245200 -28800 0 PST} - {3511159200 -25200 1 PDT} - {3528694800 -28800 0 PST} - {3542608800 -25200 1 PDT} - {3560144400 -28800 0 PST} - {3574058400 -25200 1 PDT} - {3592198800 -28800 0 PST} - {3605508000 -25200 1 PDT} - {3623648400 -28800 0 PST} - {3636957600 -25200 1 PDT} - {3655098000 -28800 0 PST} - {3669012000 -25200 1 PDT} - {3686547600 -28800 0 PST} - {3700461600 -25200 1 PDT} - {3717997200 -28800 0 PST} - {3731911200 -25200 1 PDT} - {3750051600 -28800 0 PST} - {3763360800 -25200 1 PDT} - {3781501200 -28800 0 PST} - {3794810400 -25200 1 PDT} - {3812950800 -28800 0 PST} - {3826260000 -25200 1 PDT} - {3844400400 -28800 0 PST} - {3858314400 -25200 1 PDT} - {3875850000 -28800 0 PST} - {3889764000 -25200 1 PDT} - {3907299600 -28800 0 PST} - {3921213600 -25200 1 PDT} - {3939354000 -28800 0 PST} - {3952663200 -25200 1 PDT} - {3970803600 -28800 0 PST} - {3984112800 -25200 1 PDT} - {4002253200 -28800 0 PST} - {4016167200 -25200 1 PDT} - {4033702800 -28800 0 PST} - {4047616800 -25200 1 PDT} - {4065152400 -28800 0 PST} - {4079066400 -25200 1 PDT} - {4096602000 -28800 0 PST} +if {![info exists TZData(America/Tijuana)]} { + LoadTimeZoneFile America/Tijuana } +set TZData(:America/Santa_Isabel) $TZData(:America/Tijuana) diff --git a/library/tzdata/Asia/Chita b/library/tzdata/Asia/Chita index eabce7f..6aef523 100644 --- a/library/tzdata/Asia/Chita +++ b/library/tzdata/Asia/Chita @@ -68,4 +68,5 @@ set TZData(:Asia/Chita) { {1288458000 32400 0 YAKT} {1301158800 36000 0 YAKT} {1414252800 28800 0 IRKT} + {1459015200 32400 0 YAKT} } diff --git a/library/tzdata/Asia/Karachi b/library/tzdata/Asia/Karachi index 3faa31e..669c11a 100644 --- a/library/tzdata/Asia/Karachi +++ b/library/tzdata/Asia/Karachi @@ -7,8 +7,8 @@ set TZData(:Asia/Karachi) { {-764145000 19800 0 IST} {-576135000 18000 0 KART} {38775600 18000 0 PKT} - {1018119660 21600 1 PKST} - {1033840860 18000 0 PKT} + {1018119600 21600 1 PKST} + {1033840800 18000 0 PKT} {1212260400 21600 1 PKST} {1225476000 18000 0 PKT} {1239735600 21600 1 PKST} diff --git a/library/tzdata/Asia/Tehran b/library/tzdata/Asia/Tehran index 7dca0ae..5fd840d 100644 --- a/library/tzdata/Asia/Tehran +++ b/library/tzdata/Asia/Tehran @@ -102,4 +102,128 @@ set TZData(:Asia/Tehran) { {2105551800 12600 0 IRST} {2121193800 16200 1 IRDT} {2137087800 12600 0 IRST} + {2152729800 16200 1 IRDT} + {2168623800 12600 0 IRST} + {2184265800 16200 1 IRDT} + {2200159800 12600 0 IRST} + {2215888200 16200 1 IRDT} + {2231782200 12600 0 IRST} + {2247424200 16200 1 IRDT} + {2263318200 12600 0 IRST} + {2278960200 16200 1 IRDT} + {2294854200 12600 0 IRST} + {2310496200 16200 1 IRDT} + {2326390200 12600 0 IRST} + {2342118600 16200 1 IRDT} + {2358012600 12600 0 IRST} + {2373654600 16200 1 IRDT} + {2389548600 12600 0 IRST} + {2405190600 16200 1 IRDT} + {2421084600 12600 0 IRST} + {2436726600 16200 1 IRDT} + {2452620600 12600 0 IRST} + {2468349000 16200 1 IRDT} + {2484243000 12600 0 IRST} + {2499885000 16200 1 IRDT} + {2515779000 12600 0 IRST} + {2531421000 16200 1 IRDT} + {2547315000 12600 0 IRST} + {2562957000 16200 1 IRDT} + {2578851000 12600 0 IRST} + {2594579400 16200 1 IRDT} + {2610473400 12600 0 IRST} + {2626115400 16200 1 IRDT} + {2642009400 12600 0 IRST} + {2657651400 16200 1 IRDT} + {2673545400 12600 0 IRST} + {2689187400 16200 1 IRDT} + {2705081400 12600 0 IRST} + {2720809800 16200 1 IRDT} + {2736703800 12600 0 IRST} + {2752345800 16200 1 IRDT} + {2768239800 12600 0 IRST} + {2783881800 16200 1 IRDT} + {2799775800 12600 0 IRST} + {2815417800 16200 1 IRDT} + {2831311800 12600 0 IRST} + {2847040200 16200 1 IRDT} + {2862934200 12600 0 IRST} + {2878576200 16200 1 IRDT} + {2894470200 12600 0 IRST} + {2910112200 16200 1 IRDT} + {2926006200 12600 0 IRST} + {2941648200 16200 1 IRDT} + {2957542200 12600 0 IRST} + {2973270600 16200 1 IRDT} + {2989164600 12600 0 IRST} + {3004806600 16200 1 IRDT} + {3020700600 12600 0 IRST} + {3036342600 16200 1 IRDT} + {3052236600 12600 0 IRST} + {3067878600 16200 1 IRDT} + {3083772600 12600 0 IRST} + {3099501000 16200 1 IRDT} + {3115395000 12600 0 IRST} + {3131037000 16200 1 IRDT} + {3146931000 12600 0 IRST} + {3162573000 16200 1 IRDT} + {3178467000 12600 0 IRST} + {3194109000 16200 1 IRDT} + {3210003000 12600 0 IRST} + {3225731400 16200 1 IRDT} + {3241625400 12600 0 IRST} + {3257267400 16200 1 IRDT} + {3273161400 12600 0 IRST} + {3288803400 16200 1 IRDT} + {3304697400 12600 0 IRST} + {3320339400 16200 1 IRDT} + {3336233400 12600 0 IRST} + {3351961800 16200 1 IRDT} + {3367855800 12600 0 IRST} + {3383497800 16200 1 IRDT} + {3399391800 12600 0 IRST} + {3415033800 16200 1 IRDT} + {3430927800 12600 0 IRST} + {3446569800 16200 1 IRDT} + {3462463800 12600 0 IRST} + {3478192200 16200 1 IRDT} + {3494086200 12600 0 IRST} + {3509728200 16200 1 IRDT} + {3525622200 12600 0 IRST} + {3541264200 16200 1 IRDT} + {3557158200 12600 0 IRST} + {3572800200 16200 1 IRDT} + {3588694200 12600 0 IRST} + {3604422600 16200 1 IRDT} + {3620316600 12600 0 IRST} + {3635958600 16200 1 IRDT} + {3651852600 12600 0 IRST} + {3667494600 16200 1 IRDT} + {3683388600 12600 0 IRST} + {3699030600 16200 1 IRDT} + {3714924600 12600 0 IRST} + {3730653000 16200 1 IRDT} + {3746547000 12600 0 IRST} + {3762189000 16200 1 IRDT} + {3778083000 12600 0 IRST} + {3793725000 16200 1 IRDT} + {3809619000 12600 0 IRST} + {3825261000 16200 1 IRDT} + {3841155000 12600 0 IRST} + {3856883400 16200 1 IRDT} + {3872777400 12600 0 IRST} + {3888419400 16200 1 IRDT} + {3904313400 12600 0 IRST} + {3919955400 16200 1 IRDT} + {3935849400 12600 0 IRST} + {3951491400 16200 1 IRDT} + {3967385400 12600 0 IRST} + {3983113800 16200 1 IRDT} + {3999007800 12600 0 IRST} + {4014649800 16200 1 IRDT} + {4030543800 12600 0 IRST} + {4046185800 16200 1 IRDT} + {4062079800 12600 0 IRST} + {4077721800 16200 1 IRDT} + {4093615800 12600 0 IRST} } -- cgit v0.12 From 3a234ba343433d741a7a0c873702da6cb7987ae5 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 19 Feb 2016 14:42:53 +0000 Subject: Add test-case which demonstrates the problem. This test-case fails in trunk (but passes in core-8-5-branch, as expected). --- tests/env.test | 13 +++++++++++++ 1 file changed, 13 insertions(+) diff --git a/tests/env.test b/tests/env.test index 83d99e0..f9df4d6 100644 --- a/tests/env.test +++ b/tests/env.test @@ -314,6 +314,19 @@ test env-7.2 {[219226]: links to env elements should not be removed by read} { }} } ok +test env-7.3 {[9b4702]: testing existence of env(some_thing) should not destroy trace} { + apply {{} { + catch {unset ::env(test7_3)} + proc foo args { + set ::env(test7_3) ok + } + trace add variable ::env(not_yet_existent) write foo + info exists ::env(not_yet_existent) + set ::env(not_yet_existent) "Now I'm here"; + info exists ::env(test7_3) + }} +} 1 + # Restore the environment variables at the end of the test. foreach name [array names env] { -- cgit v0.12 From 22d2441089751ab75a5d01ceb99f5fa3f21b1356 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 19 Feb 2016 16:44:26 +0000 Subject: Bump to TclOO 1.0.4. Update changes file. --- changes | 90 +++++++++++++++++++++++++++++++++++++++++++++++++++++ generic/tclOO.h | 2 +- unix/tclooConfig.sh | 2 +- win/tclooConfig.sh | 2 +- 4 files changed, 93 insertions(+), 3 deletions(-) diff --git a/changes b/changes index 2084f80..557c8c6 100644 --- a/changes +++ b/changes @@ -8529,6 +8529,96 @@ include ::oo::class (fellows) --- Released 8.6.4, March 12, 2015 --- http://core.tcl.tk/tcl/ for details +2015-03-19 (bug)[e66e44] Win: Ctrl-C/Ctrl-Break in console not EOF (nadkarni) + +2015-03-21 (bug)[d87cb1] Proper tailcall from compiled ensembles (sofer) + +2015-04-23 (bug)[19ea02] Win: shared read from linked dirs (bogdan,oehhar) + +2015-04-24 (bug)[879a07] Incomplete chars @ buffer ends (leunissen,porter) + +2015-04-29 (bug)[894da1] Hang flushing blocking channels (yorick) + +2015-05-14 (enhance)[b9d043] Default use of gzip transfer encoding (fellows) +=> http 2.8.9 + *** POTENTIAL INCOMPATIBILITY *** + +2015-05-15 (bug)[9dd1bd] destructor [self] after failed constructor (calvo,fellows) + +2015-05-15 (bug)[0f42ff] [tailcall] combined with [next] (aspect,fellows) + +2015-05-18 (bug)[c11a51] http: race condition in -accept option (fellows) + +2015-05-19 (enhance) More pure lists from compiled [list] (porter,fellows) + +2015-05-27 (enhancement) Relax memdebug constraint on extensions (kupries) + +2015-06-03 (bug)[268b23] crash in traced [expr] (execute-11.2)(tomkinson,porter) + +2015-06-11 (bug)[478c44] Memleak in zlib compresion errors (mistachkin) + +2015-06-16 (bug)[e770d9] Higher baud on serial channels (woods,nijtmans) + +2015-06-18 (update) Update Unicode data to 8.0 (nijtmans) + *** POTENTIAL INCOMPATIBILITY *** + +2015-06-18 (bug)[a4cb3f] compiled [lreplace] handling of end (bron,aspect) + +2015-06-23 (enhance) Use Unicode SendMessageTimeout() (nijtmans) +=> registry 1.3.1 + 2015-06-25 (TIP 412) msgcat dynamic locale change and package private locale (oehlmann) => msgcat 1.6.0 +2015-07-05 (bug)[a0ece9] crash in traced [expr] (execute-11.3) (hans,porter) + +2015-07-10 (TIP 436) [info object isa] favors 'false' over error (fellows) +=> TclOO 1.0.4 + +2015-07-15 (bug)[b1534b][9bad63] writes beyond buffer bounds (hanno,porter) + +2015-07-18 (bug)[a3309d] Memleak in compiled [unset a($i)] (jeff,porter) + +2015-07-23 (bug)[57945b] lock in forking/multi-threading (neumann,mistachkin) + +2015-07-29 (bug)[3e7eca] Allocation overflow in expr parsing (rickyb,porter) + +2015-07-30 (bug)[f00009] Win: Memleak in [file] (rp,sebres) + +2015-07-31 (bug) Correct problems found in Coverity audit (sofer) + +2015-08-19 (bug)[00189c] MSVC 14: semi-static UCRT support (dower,nijtmans) + +2015-08-26 (bug)[0df7a1] Tolerate getcwd() failures (cato,nijtmans) + +2015-09-21 (bug)[1115587][a3c350][d7ea9f][0e0e15][187d7f] Many fixes and +improvements to regexp engine from Postgres (lane,porter,fellows,seltenreich) + +2015-09-23 (enhance) hash lookup microoptimization (hipp) + +2015-09-23 (bug)[e0a7b3] Input buffer draining & file events (griffin,porter) + +2015-09-29 (bug)[219866] Cygwin support error (yorick,nijtmans) +=> platform 1.0.14 + +2015-10-06 (bug)[b42a85] Win: [file normalize ~user] wrong dir (nadkarni) + +2015-10-21 (bug)[1080042][8f2450] More regexp from Postgres (lane,porter) + +2015-10-23 (bug)[4a0c16] [clock] react to msgcat locale change (oehlmann) + +2015-11-10 (bug)[261a8a] Overflow segfault in I/O translation (brooks,porter) + +2015-11-20 (bug)[40f628] ListObjReplace callers fail to detect max (porter) + +2015-11-30 (enhance)[32c574] Improve list growth performance (brooks,porter) + +2015-12-11 (bug)[c9eb6b] tolerate unset ::env(TZ) (gahr, nijtmans) + +2016-01-29 (TIP 440) tcl_platform(engine) -- Tcl implementation (mistachkin) + +2016-02-03 (bug)[25842c] stream [zlib deflate] fails with 0 input (ade,fellows) + +2016-02-04 (bug)[3d96b7][593baa][cf74de] crashes in OO teardown (porter,fellows) + +--- Released 8.6.5, February 29, 2016 --- http://core.tcl.tk/tcl/ for details diff --git a/generic/tclOO.h b/generic/tclOO.h index a7116dc..696908a 100644 --- a/generic/tclOO.h +++ b/generic/tclOO.h @@ -24,7 +24,7 @@ * win/tclooConfig.sh */ -#define TCLOO_VERSION "1.0.3" +#define TCLOO_VERSION "1.0.4" #define TCLOO_PATCHLEVEL TCLOO_VERSION #include "tcl.h" diff --git a/unix/tclooConfig.sh b/unix/tclooConfig.sh index 55fe75f..ee10b81 100644 --- a/unix/tclooConfig.sh +++ b/unix/tclooConfig.sh @@ -16,4 +16,4 @@ TCLOO_STUB_LIB_SPEC="" TCLOO_INCLUDE_SPEC="" TCLOO_PRIVATE_INCLUDE_SPEC="" TCLOO_CFLAGS="" -TCLOO_VERSION=1.0.3 +TCLOO_VERSION=1.0.4 diff --git a/win/tclooConfig.sh b/win/tclooConfig.sh index 55fe75f..ee10b81 100644 --- a/win/tclooConfig.sh +++ b/win/tclooConfig.sh @@ -16,4 +16,4 @@ TCLOO_STUB_LIB_SPEC="" TCLOO_INCLUDE_SPEC="" TCLOO_PRIVATE_INCLUDE_SPEC="" TCLOO_CFLAGS="" -TCLOO_VERSION=1.0.3 +TCLOO_VERSION=1.0.4 -- cgit v0.12 From cb8a60a6ee4e02cddf216ca580ab3790bc310e80 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 22 Feb 2016 12:16:48 +0000 Subject: (cherry-pick): Add test-case for [9b47029467631832]: testing existence of env(some_thing) destroys traces. This demonstrates that Tcl 8.5 doesn't suffer. --- tests/env.test | 14 ++++++++++++++ 1 file changed, 14 insertions(+) diff --git a/tests/env.test b/tests/env.test index ee13b7f..a7aa162 100644 --- a/tests/env.test +++ b/tests/env.test @@ -252,6 +252,20 @@ test env-6.1 {corner cases - add lots of env variables} {} { expr {[array size env] - $size} } 100 +test env-7.3 {[9b4702]: testing existence of env(some_thing) should not destroy trace} -body { + catch {unset ::env(test7_3)} + proc foo args { + set ::env(test7_3) ok + } + trace add variable ::env(not_yet_existent) write foo + info exists ::env(not_yet_existent) + set ::env(not_yet_existent) "Now I'm here"; + info exists ::env(test7_3) +} -cleanup { + unset ::env(not_yet_existent) + unset ::env(test7_3) +} -result 1 + # Restore the environment variables at the end of the test. foreach name [array names env] { -- cgit v0.12 From 96f8fc81311574307013ca7a6f4abc589600d848 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 22 Feb 2016 12:39:10 +0000 Subject: Convert remaining env.test test-cases to tcltest-2 format --- tests/env.test | 29 +++++++++++++---------------- 1 file changed, 13 insertions(+), 16 deletions(-) diff --git a/tests/env.test b/tests/env.test index f9df4d6..9f59fbc 100644 --- a/tests/env.test +++ b/tests/env.test @@ -278,20 +278,20 @@ test env-5.4 {corner cases - unset the env array} -setup { } -cleanup { interp delete i } -result {1 a 1} -test env-5.5 {corner cases - cannot have null entries on Windows} {win} { +test env-5.5 {corner cases - cannot have null entries on Windows} -constraints win -body { set env() a catch {set env()} -} {1} +} -result 1 -test env-6.1 {corner cases - add lots of env variables} {} { +test env-6.1 {corner cases - add lots of env variables} -body { set size [array size env] for {set i 0} {$i < 100} {incr i} { set env(BOGUS$i) $i } expr {[array size env] - $size} -} 100 +} -result 100 -test env-7.1 {[219226]: whole env array should not be unset by read} { +test env-7.1 {[219226]: whole env array should not be unset by read} -body { set n [array size env] set s [array startsearch env] while {[array anymore env $s]} { @@ -300,21 +300,18 @@ test env-7.1 {[219226]: whole env array should not be unset by read} { } array donesearch env $s return $n -} 0 -test env-7.2 {[219226]: links to env elements should not be removed by read} { +} -result 0 + +test env-7.2 {[219226]: links to env elements should not be removed by read} -body { apply {{} { set ::env(test7_2) ok upvar env(test7_2) elem set ::env(PATH) - try { - return $elem - } finally { - unset ::env(test7_2) - } + return $elem }} -} ok +} -result ok -test env-7.3 {[9b4702]: testing existence of env(some_thing) should not destroy trace} { +test env-7.3 {[9b4702]: testing existence of env(some_thing) should not destroy trace} -body { apply {{} { catch {unset ::env(test7_3)} proc foo args { @@ -323,9 +320,9 @@ test env-7.3 {[9b4702]: testing existence of env(some_thing) should not destroy trace add variable ::env(not_yet_existent) write foo info exists ::env(not_yet_existent) set ::env(not_yet_existent) "Now I'm here"; - info exists ::env(test7_3) + return [info exists ::env(test7_3)] }} -} 1 +} -result 1 # Restore the environment variables at the end of the test. -- cgit v0.12 From be11bbf1dc6b1ef1beba522c31bd9a69fbd625db Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 23 Feb 2016 14:02:20 +0000 Subject: update changes --- changes | 2 ++ 1 file changed, 2 insertions(+) diff --git a/changes b/changes index 557c8c6..1e24269 100644 --- a/changes +++ b/changes @@ -8621,4 +8621,6 @@ improvements to regexp engine from Postgres (lane,porter,fellows,seltenreich) 2016-02-04 (bug)[3d96b7][593baa][cf74de] crashes in OO teardown (porter,fellows) +2016-02-22 (bug)[9b4702] [info exists env(missing)] kills trace (nijtmans) + --- Released 8.6.5, February 29, 2016 --- http://core.tcl.tk/tcl/ for details -- cgit v0.12 From e644c2cde0ad8530628e57c4dba5797fc5ff3b85 Mon Sep 17 00:00:00 2001 From: gahr Date: Tue, 23 Feb 2016 16:31:18 +0000 Subject: Make sure that adding 0 weekdays doesn't result in going back in time --- library/clock.tcl | 4 ++++ tests/clock.test | 7 ++++++- 2 files changed, 10 insertions(+), 1 deletion(-) diff --git a/library/clock.tcl b/library/clock.tcl index 231f1ae..535a67d 100755 --- a/library/clock.tcl +++ b/library/clock.tcl @@ -4449,6 +4449,10 @@ proc ::tcl::clock::AddMonths { months clockval timezone changeover } { proc ::tcl::clock::AddWeekDays { days clockval timezone changeover } { + if {$days == 0} { + return $clockval + } + set day [format $clockval -format %u] set weeks [expr {$days / 5}] diff --git a/tests/clock.test b/tests/clock.test index fc7992d..0b26213 100644 --- a/tests/clock.test +++ b/tests/clock.test @@ -35237,7 +35237,12 @@ test clock-30.28 {clock add weekdays starting on Sunday} { set f1 [clock add $t 1 weekday] set x1 [clock format $f1 -format {%Y-%m-%d}] } {2013-11-25} -test clock-30.29 {clock add weekdays systematic} -body { +test clock-30.29 {clock add 0 weekdays starting on a weekend} { + set t [clock scan {2016-02-27}] ;# Saturday + set f1 [clock add $t 0 weekdays] + set x1 [clock format $f1 -format {%Y-%m-%d}] +} {2016-02-27} +test clock-30.30 {clock add weekdays systematic} -body { set n [clock seconds] set d [clock format $n -format %u] for {set i 1} {$i < 100} {incr i} { -- cgit v0.12 From 369046f0c01b3e138f4f9b8c4bd74f1ca9c89111 Mon Sep 17 00:00:00 2001 From: gahr Date: Wed, 24 Feb 2016 09:10:01 +0000 Subject: More comprehensive tests adding and subtracting week-days --- tests/clock.test | 33 +++++++++++++++++++++++---------- 1 file changed, 23 insertions(+), 10 deletions(-) diff --git a/tests/clock.test b/tests/clock.test index 0b26213..42285a8 100644 --- a/tests/clock.test +++ b/tests/clock.test @@ -35242,17 +35242,30 @@ test clock-30.29 {clock add 0 weekdays starting on a weekend} { set f1 [clock add $t 0 weekdays] set x1 [clock format $f1 -format {%Y-%m-%d}] } {2016-02-27} -test clock-30.30 {clock add weekdays systematic} -body { +test clock-30.30 {clock add weekdays and back} -body { set n [clock seconds] - set d [clock format $n -format %u] - for {set i 1} {$i < 100} {incr i} { - set res_no [clock format [clock add $n $i weekdays] -format %u] - set exp_mod [expr {($d+$i)%5}] - if {$exp_mod == 0} { - set exp_mod 5 - } - if {$res_no != $exp_mod} { - return "Got $res_no adding $i to $n, expected: $exp_mod" + # we start on each day of the week + for {set i 0} {$i < 7} {incr i} { + set start [clock add $n $i days] + set startu [clock format $start -format %u] + # add 0 - 100 weekdays + for {set j 0} {$j < 100} {incr j} { + set forth [clock add $start $j weekdays] + set back [clock add $forth -$j weekdays] + # If $s was a weekday or $j was 0, $b must be the same day. + # Otherwise, $b must be the immediately preceeding Friday + set fail 0 + if {$j == 0 || $startu < 6} { + if {$start != $back} { set fail 1} + } else { + set friday [clock add $start -[expr {$startu % 5}] days] + if {$friday != $back} { set fail 1 } + } + if {$fail} { + set sdate [clock format $start -format {%Y-%m-%d}] + set bdate [clock format $back -format {%Y-%m-%d}] + return "$sdate + $j - $j := $bdate" + } } } return "OK" -- cgit v0.12 From e31370213070e90006eb4aae378d73945eec6d51 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 26 Feb 2016 15:42:33 +0000 Subject: [80304238ac] Candidate fix for memleak due to RC cycle. --- generic/tclVar.c | 12 +++++++----- 1 file changed, 7 insertions(+), 5 deletions(-) diff --git a/generic/tclVar.c b/generic/tclVar.c index 451ef7b..12e52c2 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -697,13 +697,15 @@ TclObjLookupVarEx( /* * An indexed local variable. */ + Tcl_Obj *cachedNamePtr = localName(iPtr->varFramePtr, index); part1Ptr->typePtr = &localVarNameType; - if (part1Ptr != localName(iPtr->varFramePtr, index)) { - part1Ptr->internalRep.twoPtrValue.ptr1 = - localName(iPtr->varFramePtr, index); - Tcl_IncrRefCount((Tcl_Obj *) - part1Ptr->internalRep.twoPtrValue.ptr1); + if (part1Ptr != cachedNamePtr) { + part1Ptr->internalRep.twoPtrValue.ptr1 = cachedNamePtr; + Tcl_IncrRefCount(cachedNamePtr); + if (cachedNamePtr->typePtr != &localVarNameType) { + TclFreeIntRep(cachedNamePtr); + } } else { part1Ptr->internalRep.twoPtrValue.ptr1 = NULL; } -- cgit v0.12 From 76d76990cd84bb8e025ce8b4453ccd605a929743 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 26 Feb 2016 16:17:12 +0000 Subject: Clean up unfired timer handlers or they cause errors in -singleproc 1 test run. --- tests/msgcat.test | 1 + 1 file changed, 1 insertion(+) diff --git a/tests/msgcat.test b/tests/msgcat.test index 6b965d1..8647f9c 100644 --- a/tests/msgcat.test +++ b/tests/msgcat.test @@ -995,6 +995,7 @@ namespace eval ::msgcat::test { mcloadedlocales clear } -cleanup { mcforgetpackage + after cancel set [namespace current]::resultvariable timeout } -body { mcpackageconfig set loadcmd [namespace code callbackfailproc] mclocale foo_bar -- cgit v0.12 From 9b5987cf695225d4884be4f62c09568bca318408 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 1 Mar 2016 16:40:05 +0000 Subject: Add test for memleak --- tests/var.test | 28 ++++++++++++++++++++++++++++ 1 file changed, 28 insertions(+) diff --git a/tests/var.test b/tests/var.test index 0531746..b6b09fd 100644 --- a/tests/var.test +++ b/tests/var.test @@ -921,6 +921,34 @@ test var-22.0 {leak in array element unset: Bug a3309d01db} -setup { rename getbytes {} rename doit {} } -result 0 +test var-22.1 {leak in localVarName intrep: Bug 80304238ac} -setup { + proc getbytes {} { + lindex [split [memory info] \n] 3 3 + } + proc doit {} { + interp create slave + slave eval { + proc doit script { + eval $script + set foo bar + } + doit {foreach foo baz {}} + } + interp delete slave + } +} -constraints memory -body { + set end [getbytes] + for {set i 0} {$i < 5} {incr i} { + doit + set tmp $end + set end [getbytes] + } + set leakedBytes [expr {$end - $tmp}] +} -cleanup { + array unset A + rename getbytes {} + rename doit {} +} -result 0 catch {namespace delete ns} -- cgit v0.12 From 7d6b4ece6967da652c3eeb1f0baced245473353b Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 1 Mar 2016 16:42:03 +0000 Subject: Extra safety against cycles --- generic/tclVar.c | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/generic/tclVar.c b/generic/tclVar.c index 12e52c2..5574f30 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -703,7 +703,8 @@ TclObjLookupVarEx( if (part1Ptr != cachedNamePtr) { part1Ptr->internalRep.twoPtrValue.ptr1 = cachedNamePtr; Tcl_IncrRefCount(cachedNamePtr); - if (cachedNamePtr->typePtr != &localVarNameType) { + if (cachedNamePtr->typePtr != &localVarNameType + || cachedNamePtr->internalRep.twoPtrValue.ptr1 != NULL) { TclFreeIntRep(cachedNamePtr); } } else { -- cgit v0.12 From 8815f9f3c32c06e9f2d1d2b8ea69e1810988c5a4 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 2 Mar 2016 08:49:12 +0000 Subject: Eliminate exess spacings in many doc pages. --- doc/Access.3 | 2 +- doc/AddErrInfo.3 | 24 ++++++++++++------------ doc/Alloc.3 | 2 +- doc/AllowExc.3 | 4 ++-- doc/AppInit.3 | 4 ++-- doc/AssocData.3 | 2 +- doc/Async.3 | 2 +- doc/BackgdErr.3 | 2 +- doc/Backslash.3 | 4 ++-- doc/BoolObj.3 | 10 +++++----- doc/ByteArrObj.3 | 8 ++++---- doc/Cancel.3 | 8 ++++---- doc/CrtChannel.3 | 10 +++++----- doc/CrtCommand.3 | 4 ++-- doc/CrtMathFnc.3 | 4 ++-- doc/CrtObjCmd.3 | 6 +++--- doc/CrtSlave.3 | 10 +++++----- doc/CrtTrace.3 | 6 +++--- doc/DoOneEvent.3 | 6 +++--- doc/DoubleObj.3 | 6 +++--- doc/DumpActiveMemory.3 | 4 ++-- doc/Ensemble.3 | 6 +++--- doc/Eval.3 | 6 +++--- doc/Exit.3 | 4 ++-- doc/ExprLong.3 | 4 ++-- doc/FileSystem.3 | 12 ++++++------ doc/GetHostName.3 | 4 ++-- doc/GetStdChan.3 | 10 +++++----- doc/GetVersion.3 | 8 ++++---- doc/Hash.3 | 10 +++++----- doc/IntObj.3 | 6 +++--- doc/Interp.3 | 4 ++-- doc/ListObj.3 | 8 ++++---- doc/NRE.3 | 12 ++++++------ doc/Notifier.3 | 4 ++-- doc/ObjectType.3 | 8 ++++---- doc/Panic.3 | 4 ++-- doc/PkgRequire.3 | 6 +++--- doc/RegExp.3 | 10 +++++----- doc/SaveResult.3 | 6 +++--- doc/SetResult.3 | 4 ++-- doc/SetVar.3 | 4 ++-- doc/Tcl.n | 10 +++++----- doc/Tcl_Main.3 | 8 ++++---- doc/TraceCmd.3 | 2 +- doc/TraceVar.3 | 6 +++--- doc/Translate.3 | 4 ++-- doc/UniCharIsAlpha.3 | 2 +- doc/UpVar.3 | 4 ++-- doc/WrongNumArgs.3 | 4 ++-- doc/after.n | 4 ++-- doc/append.n | 2 +- doc/apply.n | 6 +++--- doc/array.n | 2 +- doc/bgerror.n | 2 +- doc/binary.n | 16 ++++++++-------- doc/catch.n | 6 +++--- doc/chan.n | 12 ++++++------ doc/dde.n | 6 +++--- doc/encoding.n | 6 +++--- doc/error.n | 4 ++-- doc/exec.n | 6 +++--- doc/expr.n | 4 ++-- doc/fconfigure.n | 6 +++--- doc/fcopy.n | 10 +++++----- doc/file.n | 18 +++++++++--------- doc/fileevent.n | 4 ++-- doc/filename.n | 10 +++++----- doc/format.n | 38 +++++++++++++++++++------------------- doc/global.n | 4 ++-- doc/http.n | 10 +++++----- doc/lindex.n | 6 +++--- doc/linsert.n | 4 ++-- doc/llength.n | 4 ++-- doc/lmap.n | 4 ++-- doc/lrange.n | 4 ++-- doc/lsearch.n | 8 ++++---- doc/lset.n | 8 ++++---- doc/lsort.n | 8 ++++---- doc/mathfunc.n | 8 ++++---- doc/memory.n | 10 +++++----- doc/msgcat.n | 4 ++-- doc/open.n | 8 ++++---- doc/package.n | 4 ++-- doc/pkgMkIndex.n | 6 +++--- doc/proc.n | 14 +++++++------- doc/read.n | 6 +++--- doc/regexp.n | 6 +++--- doc/regsub.n | 4 ++-- doc/return.n | 12 ++++++------ doc/safe.n | 46 +++++++++++++++++++++++----------------------- doc/scan.n | 28 ++++++++++++++-------------- doc/set.n | 6 +++--- doc/socket.n | 4 ++-- doc/string.n | 6 +++--- doc/subst.n | 4 ++-- doc/tcltest.n | 44 ++++++++++++++++++++++---------------------- doc/tclvars.n | 10 +++++----- doc/trace.n | 2 +- doc/transchan.n | 2 +- doc/try.n | 2 +- doc/unknown.n | 8 ++++---- doc/unload.n | 6 +++--- doc/unset.n | 2 +- doc/update.n | 2 +- doc/uplevel.n | 2 +- doc/upvar.n | 2 +- doc/variable.n | 2 +- doc/vwait.n | 2 +- doc/while.n | 2 +- doc/zlib.n | 4 ++-- 111 files changed, 399 insertions(+), 399 deletions(-) diff --git a/doc/Access.3 b/doc/Access.3 index 668e1db..699d7ed 100644 --- a/doc/Access.3 +++ b/doc/Access.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_Access 3 8.1 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/AddErrInfo.3 b/doc/AddErrInfo.3 index e6563a0..caba125 100644 --- a/doc/AddErrInfo.3 +++ b/doc/AddErrInfo.3 @@ -17,7 +17,7 @@ Tcl_GetReturnOptions, Tcl_SetReturnOptions, Tcl_AddErrorInfo, Tcl_AppendObjToErr Tcl_Obj * \fBTcl_GetReturnOptions\fR(\fIinterp, code\fR) .sp -int +int \fBTcl_SetReturnOptions\fR(\fIinterp, options\fR) .sp \fBTcl_AddErrorInfo\fR(\fIinterp, message\fR) @@ -45,7 +45,7 @@ void .AS Tcl_Interp commandLength .AP Tcl_Interp *interp in Interpreter in which to record information. -.AP int code +.AP int code The code returned from script evaluation. .AP Tcl_Obj *options A dictionary of return options. @@ -121,7 +121,7 @@ retrieve the stack trace when script evaluation returns .CS int code = Tcl_Eval(interp, script); if (code == TCL_ERROR) { - Tcl_Obj *options = \fBTcl_GetReturnOptions\fR(interp, code); + Tcl_Obj *options = \fBTcl_GetReturnOptions\fR(interp, code); Tcl_Obj *key = Tcl_NewStringObj("-errorinfo", -1); Tcl_Obj *stackTrace; Tcl_IncrRefCount(key); @@ -163,12 +163,12 @@ to any reference counting. This is analogous to .PP While \fBTcl_SetReturnOptions\fR provides a general interface to set any collection of return options, there are a handful -of return options that are very frequently used. Most +of return options that are very frequently used. Most notably the \fB\-errorinfo\fR and \fB\-errorcode\fR return options should be set properly when the command procedure of a command returns \fBTCL_ERROR\fR. The \fB\-errorline\fR return option is also read by commands that evaluate scripts -and wish to supply detailed error location information in +and wish to supply detailed error location information in the stack trace text they append to the \fB\-errorinfo\fR option. Tcl provides several simpler interfaces to more directly set these return options. @@ -224,7 +224,7 @@ is available as a \fBTcl_Obj\fR instead of as a \fBchar\fR array. .PP \fBTcl_AddObjErrorInfo\fR is nearly identical to \fBTcl_AddErrorInfo\fR, except that it has an additional \fIlength\fR -argument. This allows the \fImessage\fR string to contain +argument. This allows the \fImessage\fR string to contain embedded null bytes. This is essentially never a good idea. If the \fImessage\fR needs to contain the null character \fBU+0000\fR, Tcl's usual internal encoding rules should be used to avoid @@ -232,9 +232,9 @@ the need for a null byte. If the \fBTcl_AddObjErrorInfo\fR interface is used at all, it should be with a negative \fIlength\fR value. .PP The procedure \fBTcl_SetObjErrorCode\fR is used to set the -\fB\-errorcode\fR return option to the list value \fIerrorObjPtr\fR -built up by the caller. -\fBTcl_SetObjErrorCode\fR is typically invoked just +\fB\-errorcode\fR return option to the list value \fIerrorObjPtr\fR +built up by the caller. +\fBTcl_SetObjErrorCode\fR is typically invoked just before returning an error. If an error is returned without calling \fBTcl_SetObjErrorCode\fR or \fBTcl_SetErrorCode\fR the Tcl interpreter automatically sets @@ -275,7 +275,7 @@ the interpreter's result. \fBTcl_LogCommandInfo\fR is invoked after an error occurs in an interpreter. It adds information about the command that was being executed when the error occurred to the \fB\-errorinfo\fR value, and -the line number stored internally in the interpreter is set. +the line number stored internally in the interpreter is set. .PP In older releases of Tcl, there was no \fBTcl_GetReturnOptions\fR routine. In its place, the global Tcl variables \fBerrorInfo\fR @@ -288,7 +288,7 @@ global variables remains a supported way to access these return option values, it is important not to assume that writing to those global variables will properly set the corresponding return options. It has long been emphasized -in this manual page that it is important to +in this manual page that it is important to call the procedures described here rather than setting \fBerrorInfo\fR or \fBerrorCode\fR directly with \fBTcl_ObjSetVar2\fR. @@ -297,7 +297,7 @@ If the procedure \fBTcl_ResetResult\fR is called, it clears all of the state of the interpreter associated with script evaluation, including the entire return options dictionary. In particular, the \fB\-errorinfo\fR and \fB\-errorcode\fR options -are reset. +are reset. If an error had occurred, the \fBTcl_ResetResult\fR call will clear the error state to make it appear as if no error had occurred after all. diff --git a/doc/Alloc.3 b/doc/Alloc.3 index 585704a..8f25c52 100644 --- a/doc/Alloc.3 +++ b/doc/Alloc.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_Alloc 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/AllowExc.3 b/doc/AllowExc.3 index 2343e66..172bb30 100644 --- a/doc/AllowExc.3 +++ b/doc/AllowExc.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_AllowExceptions 3 7.4 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -31,7 +31,7 @@ return with an appropriate message. The particular script evaluation procedures of Tcl that act in the manner are \fBTcl_EvalObjEx\fR, \fBTcl_EvalObjv\fR, \fBTcl_Eval\fR, \fBTcl_EvalEx\fR, \fBTcl_GlobalEval\fR, \fBTcl_GlobalEvalObj\fR, \fBTcl_VarEval\fR and -\fBTcl_VarEvalVA\fR. +\fBTcl_VarEvalVA\fR. .PP However, if \fBTcl_AllowExceptions\fR is invoked immediately before calling one of those a procedures, then arbitrary completion diff --git a/doc/AppInit.3 b/doc/AppInit.3 index 3e47c1f..44b2d6b 100644 --- a/doc/AppInit.3 +++ b/doc/AppInit.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_AppInit 3 7.0 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -52,7 +52,7 @@ Invoke a startup script to initialize the application. Use the routines \fBTcl_SetStartupScript\fR and \fBTcl_GetStartupScript\fR to set or query the file and encoding that the active \fBTcl_Main\fR or \fBTk_Main\fR routine will -use as a startup script. +use as a startup script. .LP \fBTcl_AppInit\fR returns \fBTCL_OK\fR or \fBTCL_ERROR\fR. If it returns \fBTCL_ERROR\fR then it must leave an error message in diff --git a/doc/AssocData.3 b/doc/AssocData.3 index f819acb..d4fa3d7 100644 --- a/doc/AssocData.3 +++ b/doc/AssocData.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_SetAssocData 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/Async.3 b/doc/Async.3 index 558b511..347ba3d 100644 --- a/doc/Async.3 +++ b/doc/Async.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_AsyncCreate 3 7.0 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/BackgdErr.3 b/doc/BackgdErr.3 index 4ebcb60..adbe33c 100644 --- a/doc/BackgdErr.3 +++ b/doc/BackgdErr.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_BackgroundError 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/Backslash.3 b/doc/Backslash.3 index f121c7c..0805f8e 100644 --- a/doc/Backslash.3 +++ b/doc/Backslash.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_Backslash 3 "8.1" Tcl "Tcl Library Procedures" .so man.macros .BS @@ -33,7 +33,7 @@ The use of \fBTcl_Backslash\fR is deprecated in favor of .PP This is a utility procedure provided for backwards compatibility with non-internationalized Tcl extensions. It parses a backslash sequence and -returns the low byte of the Unicode character corresponding to the sequence. +returns the low byte of the Unicode character corresponding to the sequence. \fBTcl_Backslash\fR modifies \fI*countPtr\fR to contain the number of characters in the backslash sequence. .PP diff --git a/doc/BoolObj.3 b/doc/BoolObj.3 index 5c8414d..7268e1f 100644 --- a/doc/BoolObj.3 +++ b/doc/BoolObj.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_BooleanObj 3 8.5 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -50,7 +50,7 @@ value \fIboolValue\fR in it, and returns a pointer to the new Tcl_Obj. The new Tcl_Obj has reference count of zero. .PP \fBTcl_SetBooleanObj\fR accepts \fIobjPtr\fR, a pointer to -an existing Tcl_Obj, and stores in the Tcl_Obj \fI*objPtr\fR +an existing Tcl_Obj, and stores in the Tcl_Obj \fI*objPtr\fR the boolean value \fIboolValue\fR. This is a write operation on \fI*objPtr\fR, so \fIobjPtr\fR must be unshared. Attempts to write to a shared Tcl_Obj will panic. A successful write @@ -61,7 +61,7 @@ any former value stored in \fI*objPtr\fR. from the value stored in \fI*objPtr\fR. If \fIobjPtr\fR holds a string value recognized by \fBTcl_GetBoolean\fR, then the recognized boolean value is written at the address given -by \fIboolPtr\fR. +by \fIboolPtr\fR. If \fIobjPtr\fR holds any value recognized as a number by Tcl, then if that value is zero a 0 is written at the address given by \fIboolPtr\fR and if that @@ -69,10 +69,10 @@ value is non-zero a 1 is written at the address given by \fIboolPtr\fR. In all cases where a value is written at the address given by \fIboolPtr\fR, \fBTcl_GetBooleanFromObj\fR returns \fBTCL_OK\fR. If the value of \fIobjPtr\fR does not meet any of the conditions -above, then \fBTCL_ERROR\fR is returned and an error message is +above, then \fBTCL_ERROR\fR is returned and an error message is left in the interpreter's result unless \fIinterp\fR is NULL. \fBTcl_GetBooleanFromObj\fR may also make changes to the internal -fields of \fI*objPtr\fR so that future calls to +fields of \fI*objPtr\fR so that future calls to \fBTcl_GetBooleanFromObj\fR on the same \fIobjPtr\fR can be performed more efficiently. .PP diff --git a/doc/ByteArrObj.3 b/doc/ByteArrObj.3 index a1f9330..ff0b4e1 100644 --- a/doc/ByteArrObj.3 +++ b/doc/ByteArrObj.3 @@ -3,12 +3,12 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_ByteArrayObj 3 8.1 Tcl "Tcl Library Procedures" .so man.macros .BS .SH NAME -Tcl_NewByteArrayObj, Tcl_SetByteArrayObj, Tcl_GetByteArrayFromObj, Tcl_SetByteArrayLength \- manipulate Tcl values as a arrays of bytes +Tcl_NewByteArrayObj, Tcl_SetByteArrayObj, Tcl_GetByteArrayFromObj, Tcl_SetByteArrayLength \- manipulate Tcl values as a arrays of bytes .SH SYNOPSIS .nf \fB#include \fR @@ -16,7 +16,7 @@ Tcl_NewByteArrayObj, Tcl_SetByteArrayObj, Tcl_GetByteArrayFromObj, Tcl_SetByteAr Tcl_Obj * \fBTcl_NewByteArrayObj\fR(\fIbytes, length\fR) .sp -void +void \fBTcl_SetByteArrayObj\fR(\fIobjPtr, bytes, length\fR) .sp unsigned char * @@ -82,7 +82,7 @@ allocated for the array, the array is reallocated to the new length; the newly allocated bytes at the end of the array have arbitrary values. If \fIlength\fR is less than the space currently allocated for the array, the length of array is reduced to the new length. The return value is a -pointer to the value's new array of bytes. +pointer to the value's new array of bytes. .SH "SEE ALSO" Tcl_GetStringFromObj, Tcl_NewObj, Tcl_IncrRefCount, Tcl_DecrRefCount diff --git a/doc/Cancel.3 b/doc/Cancel.3 index f6b1636..847707e 100644 --- a/doc/Cancel.3 +++ b/doc/Cancel.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_Cancel 3 8.6 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -53,10 +53,10 @@ Any ORed combination of the following values may be used for the \fBTCL_CANCEL_UNWIND\fR . This flag is used by \fBTcl_CancelEval\fR and \fBTcl_Canceled\fR. -For \fBTcl_CancelEval\fR, if this flag is set, the script in progress +For \fBTcl_CancelEval\fR, if this flag is set, the script in progress is canceled and the evaluation stack for the interpreter is unwound. -For \fBTcl_Canceled\fR, if this flag is set, the script in progress -is considered to be canceled only if the evaluation stack for the +For \fBTcl_Canceled\fR, if this flag is set, the script in progress +is considered to be canceled only if the evaluation stack for the interpreter is being unwound. .TP 20 \fBTCL_LEAVE_ERR_MSG\fR diff --git a/doc/CrtChannel.3 b/doc/CrtChannel.3 index 2335de1..6ef94b5 100644 --- a/doc/CrtChannel.3 +++ b/doc/CrtChannel.3 @@ -639,13 +639,13 @@ called to set them, e.g. \fB\-blockmode\fR. Other options are specific to each channel type and the \fIsetOptionProc\fR procedure of the channel driver will get called to implement them. The \fIsetOptionProc\fR field can be NULL, which indicates that this channel type supports no type specific -options. +options. .PP If the option value is successfully modified to the new value, the function returns \fBTCL_OK\fR. It should call \fBTcl_BadChannelOption\fR which itself returns \fBTCL_ERROR\fR if the \fIoptionName\fR is -unrecognized. +unrecognized. If \fInewValue\fR specifies a value for the option that is not supported or if a system call error occurs, the function should leave an error message in the @@ -674,7 +674,7 @@ channel. If the option name is not NULL, the function stores its current value, as a string, in the Tcl dynamic string \fIoptionValue\fR. If \fIoptionName\fR is NULL, the function stores in \fIoptionValue\fR an alternating list of all supported options and their current values. -On success, the function returns \fBTCL_OK\fR. +On success, the function returns \fBTCL_OK\fR. It should call \fBTcl_BadChannelOption\fR which itself returns \fBTCL_ERROR\fR if the \fIoptionName\fR is unrecognized. If a system call error occurs, @@ -839,7 +839,7 @@ which returns a pointer to the function. This procedure generates a .QW "bad option" error message in an -(optional) interpreter. It is used by channel drivers when +(optional) interpreter. It is used by channel drivers when an invalid Set/Get option is requested. Its purpose is to concatenate the generic options list to the specific ones and factorize the generic options error message string. @@ -850,7 +850,7 @@ An error message is generated in \fIinterp\fR's result value to indicate that a command was invoked with a bad option. The message has the form .CS - bad option "blah": should be one of + bad option "blah": should be one of <...generic options...>+<...specific options...> .CE so you get for instance: diff --git a/doc/CrtCommand.3 b/doc/CrtCommand.3 index fca64ce..bf76d48 100644 --- a/doc/CrtCommand.3 +++ b/doc/CrtCommand.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_CreateCommand 3 "" Tcl "Tcl Library Procedures" .so man.macros .BS @@ -91,7 +91,7 @@ the command, \fIargc\fR giving the number of arguments (including the command name) and \fIargv\fR giving the values of the arguments as strings. The \fIargv\fR array will contain \fIargc\fR+1 values; the first \fIargc\fR values point to the argument strings, and the -last value is NULL. +last value is NULL. Note that the argument strings should not be modified as they may point to constant strings or may be shared with other parts of the interpreter. diff --git a/doc/CrtMathFnc.3 b/doc/CrtMathFnc.3 index 84cde65..acceb5b 100644 --- a/doc/CrtMathFnc.3 +++ b/doc/CrtMathFnc.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_CreateMathFunc 3 8.4 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -147,7 +147,7 @@ released by passing it to \fBTcl_Free\fR. Some functions (the standard set implemented in the core, and those defined by placing commands in the \fBtcl::mathfunc\fR namespace) do not have argument type information; attempting to retrieve values for -them causes a NULL to be stored in the variable pointed to by +them causes a NULL to be stored in the variable pointed to by \fIprocPtr\fR and the variable pointed to by \fIclientDataPtr\fR will not be modified. The variable pointed to by \fInumArgsPointer\fR will contain -1, and no argument types will be stored in the variable diff --git a/doc/CrtObjCmd.3 b/doc/CrtObjCmd.3 index e94c8cd..6714bd7 100644 --- a/doc/CrtObjCmd.3 +++ b/doc/CrtObjCmd.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_CreateObjCommand 3 8.0 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -150,7 +150,7 @@ However, if the existing command was created by a previous call to but instead arranges for the Tcl interpreter to call the \fBTcl_ObjCmdProc\fR \fIproc\fR in the future. The old string-based \fBTcl_CmdProc\fR associated with the command -is retained and its address can be obtained by subsequent +is retained and its address can be obtained by subsequent \fBTcl_GetCommandInfo\fR calls. This is done for backwards compatibility. .PP \fIDeleteProc\fR will be invoked when (if) \fIname\fR is deleted. @@ -288,7 +288,7 @@ command is not deleted or renamed; callers should copy the string if they need to keep it for a long time. .PP \fBTcl_GetCommandFullName\fR produces the fully qualified name -of a command from a command token. +of a command from a command token. The name, including all namespace prefixes, is appended to the value specified by \fIobjPtr\fR. .PP diff --git a/doc/CrtSlave.3 b/doc/CrtSlave.3 index fdcef6f..ac681bc 100644 --- a/doc/CrtSlave.3 +++ b/doc/CrtSlave.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_CreateSlave 3 7.6 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -122,8 +122,8 @@ is either \fBTCL_OK\fR or \fBTCL_ERROR\fR. If \fBTCL_ERROR\fR is returned then the \fBresult\fR field of the interpreter contains an error message. .PP \fBTcl_CreateSlave\fR creates a new interpreter as a slave of \fIinterp\fR. -It also creates a slave command named \fIslaveName\fR in \fIinterp\fR which -allows \fIinterp\fR to manipulate the new slave. +It also creates a slave command named \fIslaveName\fR in \fIinterp\fR which +allows \fIinterp\fR to manipulate the new slave. If \fIisSafe\fR is zero, the command creates a trusted slave in which Tcl code has access to all the Tcl commands. If it is \fB1\fR, the command creates a @@ -178,7 +178,7 @@ created by \fBTcl_CreateSlave\fR) between \fIslaveInterp\fR and \fItargetInterp\fR. Any two interpreters can be used, without any restrictions on how they are related. .PP -\fBTcl_CreateAliasObj\fR is similar to \fBTcl_CreateAlias\fR except +\fBTcl_CreateAliasObj\fR is similar to \fBTcl_CreateAlias\fR except that it takes a vector of values to pass as additional arguments instead of a vector of strings. .PP @@ -196,7 +196,7 @@ strings. \fBTcl_ExposeCommand\fR moves the command named \fIhiddenCmdName\fR from the set of hidden commands to the set of exposed commands, putting it under the name -\fIcmdName\fR. +\fIcmdName\fR. \fIHiddenCmdName\fR must be the name of an existing hidden command, or the operation will return \fBTCL_ERROR\fR and leave an error message in the \fIresult\fR field in \fIinterp\fR. diff --git a/doc/CrtTrace.3 b/doc/CrtTrace.3 index 239941f..d5353ac 100644 --- a/doc/CrtTrace.3 +++ b/doc/CrtTrace.3 @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_CreateTrace 3 "" Tcl "Tcl Library Procedures" .so man.macros .BS @@ -65,7 +65,7 @@ interpreter. \fBTcl_CmdObjTraceProc\fR: .PP .CS -typedef int \fBTcl_CmdObjTraceProc\fR( +typedef int \fBTcl_CmdObjTraceProc\fR( \fBClientData\fR \fIclientData\fR, \fBTcl_Interp\fR* \fIinterp\fR, int \fIlevel\fR, @@ -143,7 +143,7 @@ When \fBTcl_DeleteTrace\fR is called, the interpreter invokes the \fBTcl_CmdObjTraceDeleteProc\fR: .PP .CS -typedef void \fBTcl_CmdObjTraceDeleteProc\fR( +typedef void \fBTcl_CmdObjTraceDeleteProc\fR( \fBClientData\fR \fIclientData\fR); .CE .PP diff --git a/doc/DoOneEvent.3 b/doc/DoOneEvent.3 index 6f08b34..d48afd0 100644 --- a/doc/DoOneEvent.3 +++ b/doc/DoOneEvent.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_DoOneEvent 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -20,7 +20,7 @@ int .AS int flags .AP int flags in This parameter is normally zero. It may be an OR-ed combination -of any of the following flag bits: +of any of the following flag bits: \fBTCL_WINDOW_EVENTS\fR, \fBTCL_FILE_EVENTS\fR, \fBTCL_TIMER_EVENTS\fR, \fBTCL_IDLE_EVENTS\fR, \fBTCL_ALL_EVENTS\fR, or \fBTCL_DONT_WAIT\fR. @@ -43,7 +43,7 @@ handlers for the first event on the queue, and returns. If no events are found, \fBTcl_DoOneEvent\fR checks for \fBTcl_DoWhenIdle\fR callbacks; if any are found, it invokes all of them and returns. Finally, if no events or idle callbacks have been found, then -\fBTcl_DoOneEvent\fR sleeps until an event occurs; then it adds any +\fBTcl_DoOneEvent\fR sleeps until an event occurs; then it adds any new events to the Tcl event queue, calls handlers for the first event, and returns. The normal return value is 1 to signify that some event diff --git a/doc/DoubleObj.3 b/doc/DoubleObj.3 index 4b422d4..85e4de5 100644 --- a/doc/DoubleObj.3 +++ b/doc/DoubleObj.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_DoubleObj 3 8.0 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -28,7 +28,7 @@ A double-precision floating-point value used to initialize or set a Tcl value. For \fBTcl_SetDoubleObj\fR, this points to the value in which to store a double value. For \fBTcl_GetDoubleFromObj\fR, this refers to the value -from which to retrieve a double value. +from which to retrieve a double value. .AP Tcl_Interp *interp in/out When non-NULL, an error message is left here when double value retrieval fails. .AP double *doublePtr out @@ -56,7 +56,7 @@ returned, and the double value is written to the storage pointed to by \fIdoublePtr\fR. If the attempt fails, then \fBTCL_ERROR\fR is returned, and if \fIinterp\fR is non-NULL, an error message is left in \fIinterp\fR. The \fBTcl_ObjType\fR of \fIobjPtr\fR may be changed to make subsequent -calls to \fBTcl_GetDoubleFromObj\fR more efficient. +calls to \fBTcl_GetDoubleFromObj\fR more efficient. '\" TODO: add discussion of treatment of NaN value .SH "SEE ALSO" Tcl_NewObj, Tcl_DecrRefCount, Tcl_IncrRefCount, Tcl_GetObjResult diff --git a/doc/DumpActiveMemory.3 b/doc/DumpActiveMemory.3 index f4d78d1..43333da 100644 --- a/doc/DumpActiveMemory.3 +++ b/doc/DumpActiveMemory.3 @@ -2,7 +2,7 @@ '\" Copyright (c) 1992-1999 Karl Lehenbauer and Mark Diekhans. '\" Copyright (c) 2000 by Scriptics Corporation. '\" All rights reserved. -'\" +'\" .TH "Tcl_DumpActiveMemory" 3 8.1 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -39,7 +39,7 @@ These functions provide access to Tcl memory debugging information. They are only functional when Tcl has been compiled with \fBTCL_MEM_DEBUG\fR defined at compile-time. When \fBTCL_MEM_DEBUG\fR is not defined, these functions are all no-ops. -.PP +.PP \fBTcl_DumpActiveMemory\fR will output a list of all currently allocated memory to the specified file. The information output for each allocated block of memory is: starting and ending addresses diff --git a/doc/Ensemble.3 b/doc/Ensemble.3 index 8457ddc..30c1d3b 100644 --- a/doc/Ensemble.3 +++ b/doc/Ensemble.3 @@ -3,9 +3,9 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" '\" This documents the C API introduced in TIP#235 -'\" +'\" .TH Tcl_Ensemble 3 8.5 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -185,7 +185,7 @@ the bound namespace. May be read and written using \fBTcl_GetEnsembleSubcommandList\fR and \fBTcl_SetEnsembleSubcommandList\fR respectively. The result of both of those functions is a Tcl result code (\fBTCL_OK\fR, or -\fBTCL_ERROR\fR if the +\fBTCL_ERROR\fR if the token does not refer to an ensemble) and the list obtained from \fBTcl_GetEnsembleSubcommandList\fR should always be treated as immutable even if it is unshared. diff --git a/doc/Eval.3 b/doc/Eval.3 index c104f7a..8661923 100644 --- a/doc/Eval.3 +++ b/doc/Eval.3 @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_Eval 3 8.1 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -116,7 +116,7 @@ of the words for the Tcl command, one word in each value in a completion code and result just like \fBTcl_EvalObjEx\fR. The caller of \fBTcl_EvalObjv\fR has to manage the reference count of the elements of \fIobjv\fR, insuring that the values are valid until -\fBTcl_EvalObjv\fR returns. +\fBTcl_EvalObjv\fR returns. .PP \fBTcl_Eval\fR is similar to \fBTcl_EvalObjEx\fR except that the script to be executed is supplied as a string instead of a value and no compilation @@ -127,7 +127,7 @@ might be a UTF-8 special code. The string is parsed and executed directly (using \fBTcl_EvalObjv\fR) instead of compiling it and executing the bytecodes. In situations where it is known that the script will never be executed again, \fBTcl_Eval\fR may be faster than \fBTcl_EvalObjEx\fR. - \fBTcl_Eval\fR returns a completion code and result just like + \fBTcl_Eval\fR returns a completion code and result just like \fBTcl_EvalObjEx\fR. Note: for backward compatibility with versions before Tcl 8.0, \fBTcl_Eval\fR copies the value result in \fIinterp\fR to \fIinterp->result\fR (use is deprecated) where it can be accessed directly. diff --git a/doc/Exit.3 b/doc/Exit.3 index 3ea09bf..9a04db3 100644 --- a/doc/Exit.3 +++ b/doc/Exit.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_Exit 3 8.5 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -120,7 +120,7 @@ If extension \fBA\fR registers its exit handlers before loading extension \fBB\fR, this ensures that any exit handlers for \fBB\fR will be executed before the exit handlers for \fBA\fR. .PP -\fBTcl_Finalize\fR and \fBTcl_Exit\fR call \fBTcl_FinalizeThread\fR +\fBTcl_Finalize\fR and \fBTcl_Exit\fR call \fBTcl_FinalizeThread\fR and the thread exit handlers \fIafter\fR the process-wide exit handlers. This is because thread finalization shuts down the I/O channel system, so any attempt at I/O by the global exit diff --git a/doc/ExprLong.3 b/doc/ExprLong.3 index 1615f88..0d369ce 100644 --- a/doc/ExprLong.3 +++ b/doc/ExprLong.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_ExprLong 3 7.0 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -30,7 +30,7 @@ int .AP Tcl_Interp *interp in Interpreter in whose context to evaluate \fIexpr\fR. .AP "const char" *expr in -Expression to be evaluated. +Expression to be evaluated. .AP long *longPtr out Pointer to location in which to store the integer value of the expression. diff --git a/doc/FileSystem.3 b/doc/FileSystem.3 index 6a8158c..28ee8f0 100644 --- a/doc/FileSystem.3 +++ b/doc/FileSystem.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Filesystem 3 8.4 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -464,8 +464,8 @@ directory for all files which match a given pattern. The appropriate function for the filesystem to which \fIpathPtr\fR belongs will be called. .PP The return value is a standard Tcl result indicating whether an error -occurred in globbing. Error messages are placed in interp (unless -interp is NULL, which is allowed), but good results are placed in the +occurred in globbing. Error messages are placed in interp (unless +interp is NULL, which is allowed), but good results are placed in the resultPtr given. .PP Note that the \fBglob\fR code implements recursive patterns internally, so @@ -1256,8 +1256,8 @@ not, so code should be flexible to both possibilities. The return value is a standard Tcl result indicating whether an error occurred in the matching process. Error messages are placed in \fIinterp\fR, unless \fIinterp\fR in NULL in which case no error -message need be generated; on a \fBTCL_OK\fR result, results should be -added to the \fIresultPtr\fR value given (which can be assumed to be a +message need be generated; on a \fBTCL_OK\fR result, results should be +added to the \fIresultPtr\fR value given (which can be assumed to be a valid unshared Tcl list). The matches added to \fIresultPtr\fR should include any path prefix given in \fIpathPtr\fR (this usually means they will be absolute path specifications). @@ -1265,7 +1265,7 @@ Note that if no matches are found, that simply leads to an empty result; errors are only signaled for actual file or filesystem problems which may occur during the matching process. .PP -The \fBTcl_GlobTypeData\fR structure passed in the \fItypes\fR +The \fBTcl_GlobTypeData\fR structure passed in the \fItypes\fR parameter contains the following fields: .PP .CS diff --git a/doc/GetHostName.3 b/doc/GetHostName.3 index 8aed0dc..73432d3 100644 --- a/doc/GetHostName.3 +++ b/doc/GetHostName.3 @@ -1,7 +1,7 @@ '\" '\" Copyright (c) 1998-2000 by Scriptics Corporation. '\" All rights reserved. -'\" +'\" .TH Tcl_GetHostName 3 8.3 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -18,7 +18,7 @@ const char * .SH DESCRIPTION .PP \fBTcl_GetHostName\fR is a utility procedure used by some of the -Tcl commands. It returns a pointer to a string containing the name +Tcl commands. It returns a pointer to a string containing the name for the current machine, or an empty string if the name cannot be determined. The string is statically allocated, and the caller must not modify of free it. diff --git a/doc/GetStdChan.3 b/doc/GetStdChan.3 index 8af1e7e..be0e79f 100644 --- a/doc/GetStdChan.3 +++ b/doc/GetStdChan.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_GetStdChannel 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -34,18 +34,18 @@ Tcl defines three special channels that are used by various I/O related commands if no other channels are specified. The standard input channel has a channel name of \fBstdin\fR and is used by \fBread\fR and \fBgets\fR. The standard output channel is named \fBstdout\fR and is used by -\fBputs\fR. The standard error channel is named \fBstderr\fR and is used for +\fBputs\fR. The standard error channel is named \fBstderr\fR and is used for reporting errors. In addition, the standard channels are inherited by any child processes created using \fBexec\fR or \fBopen\fR in the absence of any other redirections. .PP The standard channels are actually aliases for other normal channels. The current channel associated with a standard channel can be retrieved by calling -\fBTcl_GetStdChannel\fR with one of +\fBTcl_GetStdChannel\fR with one of \fBTCL_STDIN\fR, \fBTCL_STDOUT\fR, or \fBTCL_STDERR\fR as the \fItype\fR. The return value will be a valid channel, or NULL. .PP -A new channel can be set for the standard channel specified by \fItype\fR +A new channel can be set for the standard channel specified by \fItype\fR by calling \fBTcl_SetStdChannel\fR with a new channel or NULL in the \fIchannel\fR argument. If the specified channel is closed by a later call to \fBTcl_Close\fR, then the corresponding standard channel will automatically be @@ -64,7 +64,7 @@ be corrected without contradicting the assumptions of some existing code that calls \fBTcl_SetStdChannel\fR. .PP If \fBTcl_GetStdChannel\fR is called before \fBTcl_SetStdChannel\fR, Tcl will -construct a new channel to wrap the appropriate platform-specific standard +construct a new channel to wrap the appropriate platform-specific standard file handle. If \fBTcl_SetStdChannel\fR is called before \fBTcl_GetStdChannel\fR, then the default channel will not be created. .PP diff --git a/doc/GetVersion.3 b/doc/GetVersion.3 index 89f63d5..3672382 100644 --- a/doc/GetVersion.3 +++ b/doc/GetVersion.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_GetVersion 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -24,14 +24,14 @@ Minor version number of the Tcl library. The patch level of the Tcl library (or alpha or beta number). .AP Tcl_ReleaseType *type out The type of release, also indicates the type of patch level. Can be -one of \fBTCL_ALPHA_RELEASE\fR, \fBTCL_BETA_RELEASE\fR, or +one of \fBTCL_ALPHA_RELEASE\fR, \fBTCL_BETA_RELEASE\fR, or \fBTCL_FINAL_RELEASE\fR. .BE .SH DESCRIPTION .PP \fBTcl_GetVersion\fR should be used to query the version number -of the Tcl library at runtime. This is useful when using a +of the Tcl library at runtime. This is useful when using a dynamically loaded Tcl library or when writing a stubs-aware extension. For instance, if you write an extension that is linked against the Tcl stubs library, it could be loaded into @@ -39,7 +39,7 @@ a program linked to an older version of Tcl than you expected. Use \fBTcl_GetVersion\fR to verify that fact, and possibly to change the behavior of your extension. .PP -\fBTcl_GetVersion\fR accepts NULL for any of the arguments. For instance if +\fBTcl_GetVersion\fR accepts NULL for any of the arguments. For instance if you do not care about the \fIpatchLevel\fR of the library, pass a NULL for the \fIpatchLevel\fR argument. diff --git a/doc/Hash.3 b/doc/Hash.3 index fcc0d83a..4dc3623 100644 --- a/doc/Hash.3 +++ b/doc/Hash.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_Hash 3 "" Tcl "Tcl Library Procedures" .so man.macros .BS @@ -131,13 +131,13 @@ The pointer value is the key; it need not (and usually does not) actually point to a string. .IP \fBTCL_CUSTOM_TYPE_KEYS\fR 25 Keys are of arbitrary type, and are stored in the entry. Hashing -and comparison is determined by \fItypePtr\fR. The Tcl_HashKeyType -structure is described in the section +and comparison is determined by \fItypePtr\fR. The Tcl_HashKeyType +structure is described in the section \fBTHE TCL_HASHKEYTYPE STRUCTURE\fR below. .IP \fBTCL_CUSTOM_PTR_KEYS\fR 25 Keys are pointers to an arbitrary type, and are stored in the entry. Hashing -and comparison is determined by \fItypePtr\fR. The Tcl_HashKeyType -structure is described in the section +and comparison is determined by \fItypePtr\fR. The Tcl_HashKeyType +structure is described in the section \fBTHE TCL_HASHKEYTYPE STRUCTURE\fR below. .IP \fIother\fR 25 If \fIkeyType\fR is not one of the above, diff --git a/doc/IntObj.3 b/doc/IntObj.3 index d42b44a..dc62642 100644 --- a/doc/IntObj.3 +++ b/doc/IntObj.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_IntObj 3 8.5 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -87,7 +87,7 @@ used to initialize a multi-precision integer value. .SH DESCRIPTION .PP These procedures are used to create, modify, and read Tcl values -that hold integral values. +that hold integral values. .PP The different routines exist to accommodate different integral types in C with which values might be exchanged. The C integral types for which Tcl @@ -99,7 +99,7 @@ typedef defined to be whatever signed integral type covers at least the on the platform and the C compiler, the actual type might be \fBlong int\fR, \fBlong long int\fR, \fBint64\fR, or something else. The \fBmp_int\fR type is a multiple-precision integer type defined -by the LibTomMath multiple-precision integer library. +by the LibTomMath multiple-precision integer library. .PP The \fBTcl_NewIntObj\fR, \fBTcl_NewLongObj\fR, \fBTcl_NewWideIntObj\fR, and \fBTcl_NewBignumObj\fR routines each create and return a new diff --git a/doc/Interp.3 b/doc/Interp.3 index b639add..731007b 100644 --- a/doc/Interp.3 +++ b/doc/Interp.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_Interp 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -76,7 +76,7 @@ and store a pointer to it in \fIinterp->result\fR. In this case, the command procedure must also set \fIinterp->freeProc\fR to the address of a procedure that can free the value, or \fBTCL_DYNAMIC\fR if the storage was allocated directly by Tcl or by a call to -\fBTcl_Alloc\fR. +\fBTcl_Alloc\fR. If \fIinterp->freeProc\fR is non-zero, then Tcl will call \fIfreeProc\fR to free the space pointed to by \fIinterp->result\fR before it invokes the next command. diff --git a/doc/ListObj.3 b/doc/ListObj.3 index 3af0e7e..dc1ba53 100644 --- a/doc/ListObj.3 +++ b/doc/ListObj.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_ListObj 3 8.0 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -64,7 +64,7 @@ Points to location where \fBTcl_ListObjGetElements\fR stores the number of element values in \fIlistPtr\fR. .AP Tcl_Obj ***objvPtr out A location where \fBTcl_ListObjGetElements\fR stores a pointer to an array -of pointers to the element values of \fIlistPtr\fR. +of pointers to the element values of \fIlistPtr\fR. .AP int objc in The number of Tcl values that \fBTcl_NewListObj\fR will insert into a new list value, @@ -75,7 +75,7 @@ the number of Tcl values to insert into \fIobjPtr\fR. An array of pointers to values. \fBTcl_NewListObj\fR will insert these values into a new list value and \fBTcl_ListObjReplace\fR will insert them into an existing \fIlistPtr\fR. -Each value will become a separate list element. +Each value will become a separate list element. .AP int *intPtr out Points to location where \fBTcl_ListObjLength\fR stores the length of the list. @@ -134,7 +134,7 @@ If no error occurs, the two procedures return \fBTCL_OK\fR after appending the values. .PP \fBTcl_NewListObj\fR and \fBTcl_SetListObj\fR -create a new value or modify an existing value to hold +create a new value or modify an existing value to hold the \fIobjc\fR elements of the array referenced by \fIobjv\fR where each element is a pointer to a Tcl value. If \fIobjc\fR is less than or equal to zero, diff --git a/doc/NRE.3 b/doc/NRE.3 index a8ac477..ff0d108 100644 --- a/doc/NRE.3 +++ b/doc/NRE.3 @@ -3,7 +3,7 @@ .\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH NRE 3 8.6 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -45,7 +45,7 @@ Name of a new command to create. Implementation of a command that will be called whenever \fIcmdName\fR is invoked as a command in the unoptimized way. .AP Tcl_ObjCmdProc *nreProc in -Implementation of a command that will be called whenever \fIcmdName\fR +Implementation of a command that will be called whenever \fIcmdName\fR is invoked and requested to conserve the C stack. .AP ClientData clientData in Arbitrary one-word value that will be passed to \fIproc\fR, \fInreProc\fR, @@ -83,13 +83,13 @@ executing in the interpreter designated by \fIinterp\fR completes. to the function designated by \fIpostProcPtr\fR when it is invoked. .BE .SH DESCRIPTION -.PP +.PP This series of C functions provides an interface whereby commands that are implemented in C can be evaluated, and invoke Tcl commands scripts and scripts, without consuming space on the C stack. The non-recursive evaluation is done by installing a \fItrampoline\fR, a small piece of code that invokes a command or script, and then executes a series of -callbacks when the command or script returns. +callbacks when the command or script returns. .PP The \fBTcl_NRCreateCommand\fR function creates a Tcl command in the interpreter designated by \fIinterp\fR that is prepared to handle @@ -149,7 +149,7 @@ The remaining arguments are as for \fBTcl_NREvalObjv\fR. \fBTcl_NREvalObj\fR, \fBTcl_NREvalObjv\fR and \fBTcl_NRCmdSwap\fR all accept a \fIflags\fR parameter, which is an OR-ed-together set of bits to control evaluation. At the present time, the only supported flag -available to callers is \fBTCL_EVAL_GLOBAL\fR. +available to callers is \fBTCL_EVAL_GLOBAL\fR. .\" TODO: Again, this is a lie. Do we want to explain TCL_EVAL_INVOKE .\" and TCL_EVAL_NOERR? If the \fBTCL_EVAL_GLOBAL\fR flag is set, the script or command is @@ -255,7 +255,7 @@ int int objc, Tcl_Obj *const objv[]) { - return \fBTcl_NRCallObjProc\fR(interp, \fITheCmdNRObjProc\fR, + return \fBTcl_NRCallObjProc\fR(interp, \fITheCmdNRObjProc\fR, clientData, objc, objv); } .CE diff --git a/doc/Notifier.3 b/doc/Notifier.3 index f2976b1..16f9f8d 100644 --- a/doc/Notifier.3 +++ b/doc/Notifier.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Notifier 3 8.1 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -143,7 +143,7 @@ servicing at a future time. Threaded applications work in a similar manner, except that there is a separate event queue for each thread containing a Tcl interpreter. \fBTcl_QueueEvent\fR is used (primarily -by event sources) to add events to the event queue and +by event sources) to add events to the event queue and \fBTcl_DeleteEvents\fR is used to remove events from the queue without processing them. In a threaded application, \fBTcl_QueueEvent\fR adds an event to the current thread's queue, and \fBTcl_ThreadQueueEvent\fR diff --git a/doc/ObjectType.3 b/doc/ObjectType.3 index 424d560..bf414ac 100644 --- a/doc/ObjectType.3 +++ b/doc/ObjectType.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_ObjType 3 8.0 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -76,8 +76,8 @@ in that case \fBTCL_ERROR\fR is returned. if possible. It creates a new internal representation for \fIobjPtr\fR appropriate for the target type \fItypePtr\fR -and sets its \fItypePtr\fR member as determined by calling the -\fItypePtr->setFromAnyProc\fR routine. +and sets its \fItypePtr\fR member as determined by calling the +\fItypePtr->setFromAnyProc\fR routine. Any internal representation for \fIobjPtr\fR's old type is freed. If an error occurs during conversion, it returns \fBTCL_ERROR\fR and leaves an error message in the result value for \fIinterp\fR @@ -181,7 +181,7 @@ typedef void \fBTcl_UpdateStringProc\fR( It must always set \fIbytes\fR non-NULL before returning. We require the string representation's byte array to have a null after the last byte, at offset \fIlength\fR, -and to have no null bytes before that; this allows string representations +and to have no null bytes before that; this allows string representations to be treated as conventional null character-terminated C strings. These restrictions are easily met by using Tcl's internal UTF encoding for the string representation, same as one would do for other diff --git a/doc/Panic.3 b/doc/Panic.3 index 28d56fa..af86665 100644 --- a/doc/Panic.3 +++ b/doc/Panic.3 @@ -1,7 +1,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_Panic 3 8.4 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -69,7 +69,7 @@ After \fBTcl_SetPanicProc\fR returns, any future calls to \fIformat\fR and \fIarg\fR arguments. \fIpanicProc\fR should avoid making calls into the Tcl library, or into other libraries that may call the Tcl library, since the original call to \fBTcl_Panic\fR -indicates the Tcl library is not in a state of reliable operation. +indicates the Tcl library is not in a state of reliable operation. .PP The typical use of \fBTcl_SetPanicProc\fR arranges for the error message to be displayed or reported in a manner more suitable for the diff --git a/doc/PkgRequire.3 b/doc/PkgRequire.3 index 5c9fdca..71f3acf 100644 --- a/doc/PkgRequire.3 +++ b/doc/PkgRequire.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_PkgRequire 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -75,8 +75,8 @@ procedures do. .PP If \fBTcl_PkgPresent\fR or \fBTcl_PkgRequire\fR complete successfully they return a pointer to the version string for the version of the package -that is provided in the interpreter (which may be different than -\fIversion\fR); if an error occurs they return NULL and leave an error +that is provided in the interpreter (which may be different than +\fIversion\fR); if an error occurs they return NULL and leave an error message in the interpreter's result. .PP \fBTcl_PkgProvide\fR returns \fBTCL_OK\fR if it completes successfully; diff --git a/doc/RegExp.3 b/doc/RegExp.3 index 63f650b..aa757bc 100644 --- a/doc/RegExp.3 +++ b/doc/RegExp.3 @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_RegExpMatch 3 8.1 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -103,7 +103,7 @@ should be stored by \fBTcl_RegExpGetInfo\fR. \fBTcl_RegExpMatch\fR determines whether its \fIpattern\fR argument matches \fIregexp\fR, where \fIregexp\fR is interpreted as a regular expression using the rules in the \fBre_syntax\fR -reference page. +reference page. If there is a match then \fBTcl_RegExpMatch\fR returns 1. If there is no match then \fBTcl_RegExpMatch\fR returns 0. If an error occurs in the matching process (e.g. \fIpattern\fR @@ -111,7 +111,7 @@ is not a valid regular expression) then \fBTcl_RegExpMatch\fR returns \-1 and leaves an error message in the interpreter result. \fBTcl_RegExpMatchObj\fR is similar to \fBTcl_RegExpMatch\fR except it operates on the Tcl values \fItextObj\fR and \fIpatObj\fR instead of -UTF strings. +UTF strings. \fBTcl_RegExpMatchObj\fR is generally more efficient than \fBTcl_RegExpMatch\fR, so it is the preferred interface. .PP @@ -201,7 +201,7 @@ Compile extended regular expressions .PQ ERE s . This mode corresponds to the regular expression syntax recognized by Tcl 8.0 and earlier -versions. +versions. .TP \fBTCL_REG_BASIC\fR Compile basic regular expressions @@ -375,7 +375,7 @@ character in the string where a match could occur. If a match was found, this will be the same as the beginning of the current match. If no match was found, then it indicates the earliest point at which a match might occur if additional text is appended to the string. If it -is no match is possible even with further text, this field will be set +is no match is possible even with further text, this field will be set to \-1. .SH "SEE ALSO" re_syntax(n) diff --git a/doc/SaveResult.3 b/doc/SaveResult.3 index 557391d..b2270a2 100644 --- a/doc/SaveResult.3 +++ b/doc/SaveResult.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_SaveResult 3 8.1 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -67,7 +67,7 @@ a superset of the functions provided by the other routines, any new code should only make use of the more powerful routines. The older, weaker routines \fBTcl_SaveResult\fR, \fBTcl_RestoreResult\fR, and \fBTcl_DiscardResult\fR continue to exist only for the sake -of existing programs that may already be using them. +of existing programs that may already be using them. .PP \fBTcl_SaveInterpState\fR takes a snapshot of those portions of interpreter state that make up the full result of script evaluation. @@ -115,6 +115,6 @@ uninitialized state and cannot be used until another call to Once \fBTcl_SaveResult\fR is called to save the interpreter result, either \fBTcl_RestoreResult\fR or \fBTcl_DiscardResult\fR must be called to properly clean up the -memory associated with the saved state. +memory associated with the saved state. .SH KEYWORDS result, state, interp diff --git a/doc/SetResult.3 b/doc/SetResult.3 index 1f86340..dc8f487 100644 --- a/doc/SetResult.3 +++ b/doc/SetResult.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_SetResult 3 8.0 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -212,7 +212,7 @@ As a migration aid, access can be restored with the compiler directive but this is meant only to offer life support to otherwise dead code. .SH "THE TCL_FREEPROC ARGUMENT TO TCL_SETRESULT" .PP -\fBTcl_SetResult\fR's \fIfreeProc\fR argument specifies how +\fBTcl_SetResult\fR's \fIfreeProc\fR argument specifies how the Tcl system is to manage the storage for the \fIresult\fR argument. If \fBTcl_SetResult\fR or \fBTcl_SetObjResult\fR are called at a time when \fIinterp\fR holds a string result, diff --git a/doc/SetVar.3 b/doc/SetVar.3 index 1bef20b..4aa671a 100644 --- a/doc/SetVar.3 +++ b/doc/SetVar.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_SetVar 3 8.1 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -86,7 +86,7 @@ These procedures are used to create, modify, read, and delete Tcl variables from C code. .PP \fBTcl_SetVar2Ex\fR, \fBTcl_SetVar\fR, \fBTcl_SetVar2\fR, and -\fBTcl_ObjSetVar2\fR +\fBTcl_ObjSetVar2\fR will create a new variable or modify an existing one. These procedures set the given variable to the value given by \fInewValuePtr\fR or \fInewValue\fR and return a diff --git a/doc/Tcl.n b/doc/Tcl.n index c7fa9f6..fc3b477 100644 --- a/doc/Tcl.n +++ b/doc/Tcl.n @@ -191,30 +191,30 @@ in braces or quotes. Backslash .PQ \e "" . .TP 7 -\e\fIooo\fR +\e\fIooo\fR . -The digits \fIooo\fR (one, two, or three of them) give a eight-bit octal +The digits \fIooo\fR (one, two, or three of them) give a eight-bit octal value for the Unicode character that will be inserted, in the range \fI000\fR\(en\fI377\fR (i.e., the range U+000000\(enU+0000FF). The parser will stop just before this range overflows, or when the maximum of three digits is reached. The upper bits of the Unicode character will be 0. .TP 7 -\e\fBx\fIhh\fR +\e\fBx\fIhh\fR . The hexadecimal digits \fIhh\fR (one or two of them) give an eight-bit hexadecimal value for the Unicode character that will be inserted. The upper bits of the Unicode character will be 0 (i.e., the character will be in the range U+000000\(enU+0000FF). .TP 7 -\e\fBu\fIhhhh\fR +\e\fBu\fIhhhh\fR . The hexadecimal digits \fIhhhh\fR (one, two, three, or four of them) give a sixteen-bit hexadecimal value for the Unicode character that will be inserted. The upper bits of the Unicode character will be 0 (i.e., the character will be in the range U+000000\(enU+00FFFF). .TP 7 -\e\fBU\fIhhhhhhhh\fR +\e\fBU\fIhhhhhhhh\fR . The hexadecimal digits \fIhhhhhhhh\fR (one up to eight of them) give a twenty-one-bit hexadecimal value for the Unicode character that will be diff --git a/doc/Tcl_Main.3 b/doc/Tcl_Main.3 index 5fd5002..3ec33d1 100644 --- a/doc/Tcl_Main.3 +++ b/doc/Tcl_Main.3 @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_Main 3 8.4 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -52,7 +52,7 @@ is a program like tclsh or wish that supports both interactive interpretation of Tcl and evaluation of a script contained in a file given as a command line argument. \fBTcl_Main\fR is offered as a convenience -to developers of shell applications, so they do not have to +to developers of shell applications, so they do not have to reproduce all of the code for proper initialization of the Tcl library and interactive shell operation. Other styles of embedding Tcl in an application are not supported by \fBTcl_Main\fR. Those @@ -106,7 +106,7 @@ will not evaluate any startup script. and encoding set by the most recent \fBTcl_SetStartupScript\fR call in the same thread. The stored file name is returned, and the stored encoding name is written to space pointed to -by \fIencodingPtr\fR, when that is not NULL. +by \fIencodingPtr\fR, when that is not NULL. .PP The file name and encoding values managed by the routines \fBTcl_SetStartupScript\fR and \fBTcl_GetStartupScript\fR @@ -136,7 +136,7 @@ commands, \fBTcl_Main\fR calls the procedure given by the .QW hook for the application to perform its own initialization of the interpreter created by \fBTcl_Main\fR, such as defining application-specific -commands. The application initialization routine might also +commands. The application initialization routine might also call \fBTcl_SetStartupScript\fR to (re-)set the file and encoding to be used as a startup script. The procedure must have an interface that matches the type \fBTcl_AppInitProc\fR: diff --git a/doc/TraceCmd.3 b/doc/TraceCmd.3 index fccc0c6..99914a6 100644 --- a/doc/TraceCmd.3 +++ b/doc/TraceCmd.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_TraceCommand 3 7.4 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/TraceVar.3 b/doc/TraceVar.3 index 97d035b..19cb467 100644 --- a/doc/TraceVar.3 +++ b/doc/TraceVar.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_TraceVar 3 7.4 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -203,7 +203,7 @@ The procedures \fBTcl_TraceVar2\fR, \fBTcl_UntraceVar2\fR, and except that the name of the variable consists of two parts. \fIName1\fR gives the name of a scalar variable or array, and \fIname2\fR gives the name of an element within an array. -When \fIname2\fR is NULL, +When \fIname2\fR is NULL, \fIname1\fR may contain both an array and an element name: if the name contains an open parenthesis and ends with a close parenthesis, then the value between the parentheses is @@ -214,7 +214,7 @@ If \fIname2\fR is NULL and \fIname1\fR does not refer to an array element it means that either the variable is a scalar or the trace is to be set on the entire array rather than an individual element (see WHOLE-ARRAY TRACES below for -more information). +more information). .SH "ACCESSING VARIABLES DURING TRACES" .PP During read, write, and array traces, the diff --git a/doc/Translate.3 b/doc/Translate.3 index 0f223e4..38831d3 100644 --- a/doc/Translate.3 +++ b/doc/Translate.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_TranslateFileName 3 8.1 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -34,7 +34,7 @@ anything stored here. This utility procedure translates a file name to a platform-specific form which, after being converted to the appropriate encoding, is suitable for passing to the local operating system. In particular, it converts -network names into native form and does tilde substitution. +network names into native form and does tilde substitution. .PP However, with the advent of the newer \fBTcl_FSGetNormalizedPath\fR and \fBTcl_FSGetNativePath\fR, there is no longer any need to use this diff --git a/doc/UniCharIsAlpha.3 b/doc/UniCharIsAlpha.3 index ea6fc5b..2336c34 100644 --- a/doc/UniCharIsAlpha.3 +++ b/doc/UniCharIsAlpha.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_UniCharIsAlpha 3 "8.1" Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/UpVar.3 b/doc/UpVar.3 index 8e7ba08..9e17ed5 100644 --- a/doc/UpVar.3 +++ b/doc/UpVar.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_UpVar 3 7.4 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -40,7 +40,7 @@ an upvar-ed variable. One of \fBTCL_GLOBAL_ONLY\fR, \fBTCL_NAMESPACE_ONLY\fR or 0; if non-zero, then \fIdestName\fR is a global or namespace variable; otherwise it is local to the current procedure (or current namespace if no procedure is -active). +active). .AP "const char" *name1 in First part of source variable's name (scalar name, or name of array without array index). diff --git a/doc/WrongNumArgs.3 b/doc/WrongNumArgs.3 index 33807d5..93e2ebb 100644 --- a/doc/WrongNumArgs.3 +++ b/doc/WrongNumArgs.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_WrongNumArgs 3 8.0 Tcl "Tcl Library Procedures" .so man.macros .BS @@ -55,7 +55,7 @@ wrong # args: should be "foo bar fileName count" .PP \fIObjc\fR is usually 1, but may be 2 or more for commands like \fBstring\fR and the Tk widget commands, which use the first argument -as a subcommand. +as a subcommand. .PP Some of the values in the \fIobjv\fR array may be abbreviations for a subcommand. The command diff --git a/doc/after.n b/doc/after.n index e61bb88..3d0d2c4 100644 --- a/doc/after.n +++ b/doc/after.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH after n 7.5 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -47,7 +47,7 @@ The delayed command is formed by concatenating all the \fIscript\fR arguments in the same fashion as the \fBconcat\fR command. The command will be executed at global level (outside the context of any Tcl procedure). -If an error occurs while executing the delayed command then +If an error occurs while executing the delayed command then the background error will be reported by the command registered with \fBinterp bgerror\fR. The \fBafter\fR command returns an identifier that can be used diff --git a/doc/append.n b/doc/append.n index 4b3cfd0..e3bf224 100644 --- a/doc/append.n +++ b/doc/append.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH append n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/apply.n b/doc/apply.n index 4b730ff..aeb2227 100644 --- a/doc/apply.n +++ b/doc/apply.n @@ -14,11 +14,11 @@ apply \- Apply an anonymous function .SH DESCRIPTION .PP The command \fBapply\fR applies the function \fIfunc\fR to the arguments -\fIarg1 arg2 ...\fR and returns the result. +\fIarg1 arg2 ...\fR and returns the result. .PP The function \fIfunc\fR is a two element list \fI{args body}\fR or a three element list \fI{args body namespace}\fR (as if the -\fBlist\fR command had been used). +\fBlist\fR command had been used). The first element \fIargs\fR specifies the formal arguments to \fIfunc\fR. The specification of the formal arguments \fIargs\fR is shared with the \fBproc\fR command, and is described in detail in the @@ -96,7 +96,7 @@ set vbl abc .SH "SEE ALSO" proc(n), uplevel(n) .SH KEYWORDS -anonymous function, argument, lambda, procedure, +anonymous function, argument, lambda, procedure, '\" Local Variables: '\" mode: nroff '\" End: diff --git a/doc/array.n b/doc/array.n index e253a37..25ad0c6 100644 --- a/doc/array.n +++ b/doc/array.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH array n 8.3 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/bgerror.n b/doc/bgerror.n index ea8fe2a..3644b3d 100644 --- a/doc/bgerror.n +++ b/doc/bgerror.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH bgerror n 7.5 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/binary.n b/doc/binary.n index 014704d..5f25d65 100644 --- a/doc/binary.n +++ b/doc/binary.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH binary n 8.0 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -300,7 +300,7 @@ example, .CS \fBbinary format\fR s3 {3 -3 258 1} .CE -will return a string equivalent to +will return a string equivalent to \fB\ex03\ex00\exfd\exff\ex02\ex01\fR. .RE .IP \fBS\fR 5 @@ -311,7 +311,7 @@ example, .CS \fBbinary format\fR S3 {3 -3 258 1} .CE -will return a string equivalent to +will return a string equivalent to \fB\ex00\ex03\exff\exfd\ex01\ex02\fR. .RE .IP \fBt\fR 5 @@ -330,7 +330,7 @@ example, .CS \fBbinary format\fR i3 {3 -3 65536 1} .CE -will return a string equivalent to +will return a string equivalent to \fB\ex03\ex00\ex00\ex00\exfd\exff\exff\exff\ex00\ex00\ex01\ex00\fR .RE .IP \fBI\fR 5 @@ -341,7 +341,7 @@ For example, .CS \fBbinary format\fR I3 {3 -3 65536 1} .CE -will return a string equivalent to +will return a string equivalent to \fB\ex00\ex00\ex00\ex03\exff\exff\exff\exfd\ex00\ex01\ex00\ex00\fR .RE .IP \fBn\fR 5 @@ -397,7 +397,7 @@ on a Windows system running on an Intel Pentium processor, .CS \fBbinary format\fR f2 {1.6 3.4} .CE -will return a string equivalent to +will return a string equivalent to \fB\excd\excc\excc\ex3f\ex9a\ex99\ex59\ex40\fR. .RE .IP \fBr\fR 5 @@ -418,7 +418,7 @@ Windows system running on an Intel Pentium processor, .CS \fBbinary format\fR d1 {1.6} .CE -will return a string equivalent to +will return a string equivalent to \fB\ex9a\ex99\ex99\ex99\ex99\ex99\exf9\ex3f\fR. .RE .IP \fBq\fR 5 @@ -684,7 +684,7 @@ order. For example, \fBbinary scan\fR \ex00\ex05\ex00\ex07\exff\exf0 S2S* var1 var2 .CE will return \fB2\fR with \fB5 7\fR stored in \fIvar1\fR and \fB\-16\fR -stored in \fIvar2\fR. +stored in \fIvar2\fR. .RE .IP \fBt\fR 5 The data is interpreted as \fIcount\fR 16-bit signed integers diff --git a/doc/catch.n b/doc/catch.n index 94fa5dd..d43a7ec 100644 --- a/doc/catch.n +++ b/doc/catch.n @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH catch n "8.5" Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -43,7 +43,7 @@ value stored in \fIresultVarName\fR is the value returned from \fIscript\fR. .PP If the \fIoptionsVarName\fR argument is given, then the variable it names is set to a dictionary of return options returned by evaluation -of \fIscript\fR. Tcl specifies two entries that are always +of \fIscript\fR. Tcl specifies two entries that are always defined in the dictionary: \fB\-code\fR and \fB\-level\fR. When the return code from evaluation of \fIscript\fR is not \fBTCL_RETURN\fR, the value of the \fB\-level\fR entry will be 0, and the value @@ -114,7 +114,7 @@ if { [\fBcatch\fR {open $someFile w} fid] } { .PP There are more complex examples of \fBcatch\fR usage in the documentation for the \fBreturn\fR command. -.SH "SEE ALSO" +.SH "SEE ALSO" break(n), continue(n), dict(n), error(n), errorCode(n), errorInfo(n), info(n), return(n) .SH KEYWORDS diff --git a/doc/chan.n b/doc/chan.n index 12b2c81..7ea0d19 100644 --- a/doc/chan.n +++ b/doc/chan.n @@ -1,4 +1,4 @@ -'\" +'\" '\" Copyright (c) 2005-2006 Donal K. Fellows '\" '\" See the file "license.terms" for information on usage and redistribution @@ -200,7 +200,7 @@ generate an error. .TP \fB\-translation\fR \fImode\fR .TP -\fB\-translation\fR \fB{\fIinMode outMode\fB}\fR +\fB\-translation\fR \fB{\fIinMode outMode\fB}\fR . In Tcl scripts the end of a line is always represented using a single newline character (\en). However, in actual files and devices the end @@ -240,7 +240,7 @@ all platforms Tcl chooses \fBcrlf\fR, for all Unix flavors, it chooses \fBcrlf\fR. The default setting for \fB\-translation\fR is \fBauto\fR for both input and output. .TP -\fBbinary\fR +\fBbinary\fR . No end-of-line translations are performed. This is nearly identical to \fBlf\fR mode, except that in addition \fBbinary\fR mode also sets @@ -530,8 +530,8 @@ only those channel names that match it (according to the rules of . Depending on whether \fImode\fR is \fBinput\fR or \fBoutput\fR, returns the number of -bytes of input or output (respectively) currently buffered -internally for \fIchannelId\fR (especially useful in a readable event +bytes of input or output (respectively) currently buffered +internally for \fIchannelId\fR (especially useful in a readable event callback to impose application-specific limits on input line lengths to avoid a potential denial-of-service attack where a hostile user crafts an extremely long line that exceeds the available memory to buffer it). @@ -546,7 +546,7 @@ separately \fBstderr\fR and \fBstdout\fR from a subprocess. To do this, spawn with "2>@" or ">@" redirection operators onto the write side of a pipe, and then immediately close it in the parent. This is necessary to get an EOF on -the read side once the child has exited or otherwise closed its output. +the read side once the child has exited or otherwise closed its output. .VE 8.6 .TP \fBchan pop \fIchannelId\fR diff --git a/doc/dde.n b/doc/dde.n index 37d491b..ac3d8ed 100644 --- a/doc/dde.n +++ b/doc/dde.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH dde n 1.4 dde "Tcl Bundled Packages" .so man.macros .BS @@ -85,7 +85,7 @@ the command returns immediately with no error. .VS 8.6 Without the \fB\-binary\fR option all data will be sent in unicode. For dde clients which don't implement the CF_UNICODE clipboard format, this -will automatically be translated to the system encoding. You can use +will automatically be translated to the system encoding. You can use the \fB\-binary\fR option in combination with the result of \fBencoding convertto\fR to send data in any other encoding. .VE 8.6 @@ -102,7 +102,7 @@ application. .VS 8.6 Without the \fB\-binary\fR option all data will be sent in unicode. For dde clients which don't implement the CF_UNICODE clipboard format, this -will automatically be translated to the system encoding. You can use +will automatically be translated to the system encoding. You can use the \fB\-binary\fR option in combination with the result of \fBencoding convertto\fR to send data in any other encoding. .VE 8.6 diff --git a/doc/encoding.n b/doc/encoding.n index 5782199..50ad083 100644 --- a/doc/encoding.n +++ b/doc/encoding.n @@ -1,9 +1,9 @@ '\" '\" Copyright (c) 1998 by Scriptics Corporation. -'\" +'\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH encoding n "8.1" Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -67,7 +67,7 @@ searchable directory, that element is ignored. \fBencoding names\fR . Returns a list containing the names of all of the encodings that are -currently available. +currently available. The encodings .QW utf-8 and diff --git a/doc/error.n b/doc/error.n index a95c691..c05f8b9 100644 --- a/doc/error.n +++ b/doc/error.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH error n "" Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -28,7 +28,7 @@ the Tcl interpreter adds information to the \fB\-errorinfo\fR return option. If the \fIinfo\fR argument is present, it is used to initialize the \fB\-errorinfo\fR return options and the first increment of unwind information -will not be added by the Tcl interpreter. +will not be added by the Tcl interpreter. In other words, the command containing the \fBerror\fR command will not appear in the stack trace; in its place will be \fIinfo\fR. diff --git a/doc/exec.n b/doc/exec.n index 5b27e40..9d58d90 100644 --- a/doc/exec.n +++ b/doc/exec.n @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH exec n 8.5 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -220,7 +220,7 @@ discarded. The Tk console text widget does not provide real standard IO capabilities. Under Tk, when redirecting from standard input, all applications will see an immediate end-of-file; information redirected to standard output or standard -error will be discarded. +error will be discarded. .PP Either forward or backward slashes are accepted as path separators for arguments to Tcl commands. When executing an application, the path name @@ -231,7 +231,7 @@ backslashes only in paths. Any arguments to an application that specify a path name with forward slashes will not automatically be converted to use the backslash character. If an argument contains forward slashes as the path separator, it may or may not be recognized as a path name, depending on -the program. +the program. .PP Additionally, when calling a 16-bit DOS or Windows 3.X application, all path names must use the short, cryptic, path format (e.g., using diff --git a/doc/expr.n b/doc/expr.n index a595207..b76b6a2 100644 --- a/doc/expr.n +++ b/doc/expr.n @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH expr n 8.5 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -398,7 +398,7 @@ Most expressions do not require a second round of substitutions. Either they are enclosed in braces or, if not, their variable and command substitutions yield numbers or strings that do not themselves require substitutions. -However, because a few unbraced expressions +However, because a few unbraced expressions need two rounds of substitutions, the bytecode compiler must emit additional instructions to handle this situation. diff --git a/doc/fconfigure.n b/doc/fconfigure.n index ca23314..8da76c6 100644 --- a/doc/fconfigure.n +++ b/doc/fconfigure.n @@ -1,4 +1,4 @@ -'\" +'\" '\" Copyright (c) 1995-1996 Sun Microsystems, Inc. '\" '\" See the file "license.terms" for information on usage and redistribution @@ -125,7 +125,7 @@ generate an error. .TP \fB\-translation\fR \fImode\fR .TP -\fB\-translation\fR \fB{\fIinMode outMode\fB}\fR +\fB\-translation\fR \fB{\fIinMode outMode\fB}\fR . In Tcl scripts the end of a line is always represented using a single newline character (\en). However, in actual files and devices the end of @@ -163,7 +163,7 @@ Tcl chooses \fBcrlf\fR, for all Unix flavors, it chooses \fBlf\fR, and for the various flavors of Windows it chooses \fBcrlf\fR. The default setting for \fB\-translation\fR is \fBauto\fR for both input and output. .TP -\fBbinary\fR +\fBbinary\fR . No end-of-line translations are performed. This is nearly identical to \fBlf\fR mode, except that in addition \fBbinary\fR mode also sets the diff --git a/doc/fcopy.n b/doc/fcopy.n index 071896c..e5dd1d6 100644 --- a/doc/fcopy.n +++ b/doc/fcopy.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH fcopy n 8.0 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -23,9 +23,9 @@ avoid extra copies and to avoid buffering too much data in main memory when copying large files to slow destinations like network sockets. .PP -The \fBfcopy\fR +The \fBfcopy\fR command transfers data from \fIinchan\fR until end of file -or \fIsize\fR bytes have been +or \fIsize\fR bytes have been transferred. If no \fB\-size\fR argument is given, then the copy goes until end of file. All the data read from \fIinchan\fR is copied to \fIoutchan\fR. @@ -36,7 +36,7 @@ The \fB\-command\fR argument makes \fBfcopy\fR work in the background. In this case it returns immediately and the \fIcallback\fR is invoked later when the copy completes. The \fIcallback\fR is called with -one or two additional +one or two additional arguments that indicates how many bytes were written to \fIoutchan\fR. If an error occurred during the background copy, the second argument is the error string associated with the error. @@ -109,7 +109,7 @@ fconfigure $out -translation binary This second example shows how the callback gets passed the number of bytes transferred. It also uses vwait to put the application into the event loop. -Of course, this simplified example could be done without the command +Of course, this simplified example could be done without the command callback. .PP .CS diff --git a/doc/file.n b/doc/file.n index 9f89f6d..8e765da 100644 --- a/doc/file.n +++ b/doc/file.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH file n 8.3 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -141,7 +141,7 @@ returned. For example, \fBfile dirname\fR c:/ .CE .PP -returns \fBc:/\fR. +returns \fBc:/\fR. .PP Note that tilde substitution will only be performed if it is necessary to complete the command. For example, @@ -162,7 +162,7 @@ returns \fB/home\fR (or something similar). \fBfile executable \fIname\fR . Returns \fB1\fR if file \fIname\fR is executable by the current user, -\fB0\fR otherwise. +\fB0\fR otherwise. .TP \fBfile exists \fIname\fR . @@ -300,7 +300,7 @@ operate on the actual symbolic link itself (for example \fBfile delete\fR, \fBfile rename\fR, \fBfile copy\fR are defined to operate on symbolic links, not on the things that they point to). .TP -\fBfile owned \fIname\fR +\fBfile owned \fIname\fR . Returns \fB1\fR if file \fIname\fR is owned by the current user, \fB0\fR otherwise. @@ -318,7 +318,7 @@ type is \fBvolumerelative\fR. \fBfile readable \fIname\fR . Returns \fB1\fR if file \fIname\fR is readable by the current user, -\fB0\fR otherwise. +\fB0\fR otherwise. .TP \fBfile readlink \fIname\fR . @@ -356,7 +356,7 @@ component of \fIname\fR does not contain a dot, then returns \fIname\fR. .TP \fBfile separator\fR ?\fIname\fR? . -If no argument is given, returns the character which is used to separate +If no argument is given, returns the character which is used to separate path segments for native files on this platform. If a path is given, the filesystem responsible for that path is asked to return its separator character. If no file system accepts \fIname\fR, an error @@ -427,7 +427,7 @@ If the file does not belong to any filesystem, an error is generated. . Returns all of the characters in the last filesystem component of \fIname\fR. Any trailing directory separator in \fIname\fR is ignored. -If \fIname\fR contains no separators then returns \fIname\fR. So, +If \fIname\fR contains no separators then returns \fIname\fR. So, \fBfile tail a/b\fR, \fBfile tail a/b/\fR and \fBfile tail b\fR all return \fBb\fR. .TP @@ -457,7 +457,7 @@ Returns a string giving the type of file \fIname\fR, which will be one of \fBfifo\fR, \fBlink\fR, or \fBsocket\fR. .TP \fBfile volumes\fR -. +. Returns the absolute paths to the volumes mounted on the system, as a proper Tcl list. Without any virtual filesystems mounted as root volumes, on UNIX, the command will always return @@ -478,7 +478,7 @@ Returns \fB1\fR if file \fIname\fR is writable by the current user, \fBUnix\fR\0\0\0\0\0\0\0 . These commands always operate using the real user and group identifiers, -not the effective ones. +not the effective ones. .TP \fBWindows\fR\0\0\0\0 . diff --git a/doc/fileevent.n b/doc/fileevent.n index 8f6b880..2751040 100644 --- a/doc/fileevent.n +++ b/doc/fileevent.n @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH fileevent n 7.5 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -112,7 +112,7 @@ buggy handlers. In this setup \fBGetData\fR will be called with the channel as an argument whenever $chan becomes readable. The \fBread\fR call will read whatever binary data is currently available without blocking. -Here the channel has the fileevent removed when an end of file +Here the channel has the fileevent removed when an end of file occurs to avoid being continually called (see above). Alternatively the channel may be closed on this condition. .PP diff --git a/doc/filename.n b/doc/filename.n index 8b8b00b..87ba467 100644 --- a/doc/filename.n +++ b/doc/filename.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH filename n 7.5 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -29,7 +29,7 @@ File names are grouped into three general types based on the starting point for the path used to specify the file: absolute, relative, and volume-relative. Absolute names are completely qualified, giving a path to the file relative to a particular volume and the root directory on that -volume. Relative names are unqualified, giving a path to the file relative +volume. Relative names are unqualified, giving a path to the file relative to the current working directory. Volume-relative names are partially qualified, either giving the path relative to the root directory on the current volume, or relative to the current directory of the specified @@ -75,7 +75,7 @@ current directory. .TP 15 \fB\&../foo\fR Relative path to the file \fBfoo\fR in the directory above the current -directory. +directory. .RE .TP \fBWindows\fR @@ -84,7 +84,7 @@ style names. Both \fB/\fR and \fB\e\fR may be used as directory separators in either type of name. Drive-relative names consist of an optional drive specifier followed by an absolute or relative path. UNC paths follow the general form \fB\e\eservername\esharename\epath\efile\fR, but must at -the very least contain the server and share components, i.e. +the very least contain the server and share components, i.e. \fB\e\eservername\esharename\fR. In both forms, the file names \fB.\fR and \fB..\fR are special and refer to the current directory and the parent of the current directory respectively. The @@ -154,7 +154,7 @@ native path names). Also Windows 3.1 only supports file names with a root of no more than 8 characters and an extension of no more than 3 characters. .PP -On Windows platforms there are file and path length restrictions. +On Windows platforms there are file and path length restrictions. Complete paths or filenames longer than about 260 characters will lead to errors in most file operations. .PP diff --git a/doc/format.n b/doc/format.n index 076a820..ba044f2 100644 --- a/doc/format.n +++ b/doc/format.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH format n 8.1 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -25,14 +25,14 @@ arguments, if any, provide values to be substituted into the result. The return value from \fBformat\fR is the formatted string. .SH "DETAILS ON FORMATTING" .PP -The command operates by scanning \fIformatString\fR from left to right. +The command operates by scanning \fIformatString\fR from left to right. Each character from the format string is appended to the result string unless it is a percent sign. If the character is a \fB%\fR then it is not copied to the result string. Instead, the characters following the \fB%\fR character are treated as a conversion specifier. The conversion specifier controls the conversion of the next successive -\fIarg\fR to a particular format and the result is appended to +\fIarg\fR to a particular format and the result is appended to the result string in place of the conversion specifier. If there are multiple conversion specifiers in the format string, then each one controls the conversion of one additional \fIarg\fR. @@ -66,12 +66,12 @@ The second portion of a conversion specifier may contain any of the following flag characters, in any order: .TP 10 \fB\-\fR -Specifies that the converted argument should be left-justified -in its field (numbers are normally right-justified with leading +Specifies that the converted argument should be left-justified +in its field (numbers are normally right-justified with leading spaces if needed). .TP 10 \fB+\fR -Specifies that a number should always be printed with a sign, +Specifies that a number should always be printed with a sign, even if positive. .TP 10 \fIspace\fR @@ -79,7 +79,7 @@ Specifies that a space should be added to the beginning of the number if the first character is not a sign. .TP 10 \fB0\fR -Specifies that the number should be padded on the left with +Specifies that the number should be padded on the left with zeroes instead of spaces. .TP 10 \fB#\fR @@ -90,9 +90,9 @@ will be added to the beginning of the result unless it is zero. For \fBb\fR conversions, \fB0b\fR will be added to the beginning of the result unless it is zero. For all floating-point conversions (\fBe\fR, \fBE\fR, \fBf\fR, -\fBg\fR, and \fBG\fR) it guarantees that the result always +\fBg\fR, and \fBG\fR) it guarantees that the result always has a decimal point. -For \fBg\fR and \fBG\fR conversions it specifies that +For \fBg\fR and \fBG\fR conversions it specifies that trailing zeroes should not be removed. .SS "OPTIONAL FIELD WIDTH" .PP @@ -103,7 +103,7 @@ If the converted argument contains fewer characters than the minimum field width then it will be padded so that it is as wide as the minimum field width. Padding normally occurs by adding extra spaces on the left of the -converted argument, but the \fB0\fR and \fB\-\fR flags +converted argument, but the \fB0\fR and \fB\-\fR flags may be used to specify padding with zeroes on the left or with spaces on the right, respectively. If the minimum field width is specified as \fB*\fR rather than @@ -122,7 +122,7 @@ point (however, trailing zeroes after the decimal point will still be omitted unless the \fB#\fR flag has been specified). For integer conversions, it specifies a minimum number of digits to print (leading zeroes will be added if necessary). -For \fBs\fR conversions it specifies the maximum number of characters to be +For \fBs\fR conversions it specifies the maximum number of characters to be printed; if the string is longer than this then the trailing characters will be dropped. If the precision is specified with \fB*\fR rather than a number then the next argument to the \fBformat\fR command determines the precision; @@ -135,7 +135,7 @@ If it is \fBll\fR it specifies that an integer value is taken without truncation for conversion to a formatted substring. If it is \fBh\fR it specifies that an integer value is truncated to a 16-bit range before converting. This option is rarely useful. -If it is \fBl\fR it specifies that the integer value is +If it is \fBl\fR it specifies that the integer value is truncated to the same range as that produced by the \fBwide()\fR function of the \fBexpr\fR command (at least a 64-bit range). If neither \fBh\fR nor \fBl\fR are present, the integer value is @@ -178,22 +178,22 @@ Convert integer to the Unicode character it represents. No conversion; just insert string. .TP 10 \fBf\fR -Convert number to signed decimal string of -the form \fIxx.yyy\fR, where the number of \fIy\fR's is determined by +Convert number to signed decimal string of +the form \fIxx.yyy\fR, where the number of \fIy\fR's is determined by the precision (default: 6). If the precision is 0 then no decimal point is output. .TP 10 \fBe\fR or \fBE\fR -Convert number to scientific notation in the -form \fIx.yyy\fBe\(+-\fIzz\fR, where the number of \fIy\fR's is determined +Convert number to scientific notation in the +form \fIx.yyy\fBe\(+-\fIzz\fR, where the number of \fIy\fR's is determined by the precision (default: 6). If the precision is 0 then no decimal point is output. -If the \fBE\fR form is used then \fBE\fR is +If the \fBE\fR form is used then \fBE\fR is printed instead of \fBe\fR. .TP 10 \fBg\fR or \fBG\fR -If the exponent is less than \-4 or greater than or equal to the -precision, then convert number as for \fB%e\fR or +If the exponent is less than \-4 or greater than or equal to the +precision, then convert number as for \fB%e\fR or \fB%E\fR. Otherwise convert as for \fB%f\fR. Trailing zeroes and a trailing decimal point are omitted. diff --git a/doc/global.n b/doc/global.n index aa8f2e4..9848817 100644 --- a/doc/global.n +++ b/doc/global.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH global n "" Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -24,7 +24,7 @@ in the list returned by \fBinfo locals\fR). .PP If \fIvarname\fR contains namespace qualifiers, the local variable's name is the unqualified name of the global variable, as determined by the -\fBnamespace tail\fR command. +\fBnamespace tail\fR command. .PP \fIvarname\fR is always treated as the name of a variable, not an array element. An error is returned if the name looks like an array element, diff --git a/doc/http.n b/doc/http.n index cdf9c56..80ae044 100644 --- a/doc/http.n +++ b/doc/http.n @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH "http" n 2.7 http "Tcl Bundled Packages" .so man.macros .BS @@ -60,7 +60,7 @@ a custom \fBsocket\fR command, via \fB::http::register\fR. .PP The \fB::http::geturl\fR procedure does a HTTP transaction. Its \fIoptions \fR determine whether a GET, POST, or HEAD transaction -is performed. +is performed. The return value of \fB::http::geturl\fR is a token for the transaction. The value is also the name of an array in the ::http namespace that contains state information about the transaction. The elements @@ -90,7 +90,7 @@ flags and values that define the configuration: \fB\-accept\fR \fImimetypes\fR . The Accept header of the request. The default is */*, which means that -all types of documents are accepted. Otherwise you can supply a +all types of documents are accepted. Otherwise you can supply a comma-separated list of mime type patterns that you are willing to receive. For example, .QW "image/gif, image/jpeg, text/*" . @@ -132,7 +132,7 @@ The value of the User-Agent header in the HTTP request. The default is .QW "\fBTcl http client package 2.7\fR" . .RE .TP -\fB::http::geturl\fR \fIurl\fR ?\fIoptions\fR? +\fB::http::geturl\fR \fIurl\fR ?\fIoptions\fR? . The \fB::http::geturl\fR command is the main procedure in the package. The \fB\-query\fR option causes a POST operation and @@ -275,7 +275,7 @@ do the formatting. \fB\-queryblocksize\fR \fIsize\fR . The block size used when posting query data to the URL. -At most +At most \fIsize\fR bytes are written at once. After each block, a call to the \fB\-queryprogress\fR diff --git a/doc/lindex.n b/doc/lindex.n index b42904b..d5605bc 100644 --- a/doc/lindex.n +++ b/doc/lindex.n @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH lindex n 8.4 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -48,7 +48,7 @@ substitution and command substitution do not occur. If \fIindex\fR is negative or greater than or equal to the number of elements in \fIvalue\fR, then an empty string is returned. -The interpretation of each simple \fIindex\fR value is the same as +The interpretation of each simple \fIindex\fR value is the same as for the command \fBstring index\fR, supporting simple index arithmetic and indices relative to the end of the list. .PP @@ -115,7 +115,7 @@ set idx 3 \fI\(-> f\fR .CE .SH "SEE ALSO" -list(n), lappend(n), linsert(n), llength(n), lsearch(n), +list(n), lappend(n), linsert(n), llength(n), lsearch(n), lset(n), lsort(n), lrange(n), lreplace(n), string(n) .SH KEYWORDS diff --git a/doc/linsert.n b/doc/linsert.n index 51b64cf..91db726 100644 --- a/doc/linsert.n +++ b/doc/linsert.n @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH linsert n 8.2 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -45,7 +45,7 @@ set newList [\fBlinsert\fR $midList end-1 lazy] set newerList [\fBlinsert\fR [\fBlinsert\fR $oldList end-1 quick] 1 lazy] .CE .SH "SEE ALSO" -list(n), lappend(n), lindex(n), llength(n), lsearch(n), +list(n), lappend(n), lindex(n), llength(n), lsearch(n), lset(n), lsort(n), lrange(n), lreplace(n), string(n) .SH KEYWORDS diff --git a/doc/llength.n b/doc/llength.n index d3f9610..79f93c0 100644 --- a/doc/llength.n +++ b/doc/llength.n @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH llength n "" Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -49,7 +49,7 @@ An empty list is not necessarily an empty string: 1,0 .CE .SH "SEE ALSO" -list(n), lappend(n), lindex(n), linsert(n), lsearch(n), +list(n), lappend(n), lindex(n), linsert(n), lsearch(n), lset(n), lsort(n), lrange(n), lreplace(n) .SH KEYWORDS element, list, length diff --git a/doc/lmap.n b/doc/lmap.n index 2038fc2..1a7858d 100644 --- a/doc/lmap.n +++ b/doc/lmap.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH lmap n "" Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -51,7 +51,7 @@ Zip lists together: .CS set list1 {a b c d} set list2 {1 2 3 4} -set zipped [\fBlmap\fR a $list1 b $list2 {list $a $b}] +set zipped [\fBlmap\fR a $list1 b $list2 {list $a $b}] # The value of zipped is "{a 1} {b 2} {c 3} {d 4}" .CE .PP diff --git a/doc/lrange.n b/doc/lrange.n index 4e26a0f..ffa6dba 100644 --- a/doc/lrange.n +++ b/doc/lrange.n @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH lrange n 7.4 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -71,7 +71,7 @@ elements to {elements to} .CE .SH "SEE ALSO" -list(n), lappend(n), lindex(n), linsert(n), llength(n), lsearch(n), +list(n), lappend(n), lindex(n), linsert(n), llength(n), lsearch(n), lset(n), lreplace(n), lsort(n), string(n) .SH KEYWORDS diff --git a/doc/lsearch.n b/doc/lsearch.n index 44ebce4..c2644b8 100644 --- a/doc/lsearch.n +++ b/doc/lsearch.n @@ -1,4 +1,4 @@ -'\" +'\" '\" Copyright (c) 1993 The Regents of the University of California. '\" Copyright (c) 1994-1996 Sun Microsystems, Inc. '\" Copyright (c) 2001 Kevin B. Kenny . All rights reserved. @@ -6,7 +6,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH lsearch n 8.6 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -111,7 +111,7 @@ The list elements are to be compared as integers. \fB\-nocase\fR . Causes comparisons to be handled in a case-insensitive manner. Has no -effect if combined with the \fB\-dictionary\fR, \fB\-integer\fR, or +effect if combined with the \fB\-dictionary\fR, \fB\-integer\fR, or \fB\-real\fR options. .TP \fB\-real\fR @@ -209,7 +209,7 @@ It is also possible to search inside elements: \fI\(-> {a abc} {b bcd}\fR .CE .SH "SEE ALSO" -foreach(n), list(n), lappend(n), lindex(n), linsert(n), llength(n), +foreach(n), list(n), lappend(n), lindex(n), linsert(n), llength(n), lset(n), lsort(n), lrange(n), lreplace(n), string(n) .SH KEYWORDS diff --git a/doc/lset.n b/doc/lset.n index 954bd30..e425274 100644 --- a/doc/lset.n +++ b/doc/lset.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH lset n 8.4 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -16,7 +16,7 @@ lset \- Change an element in a list .SH DESCRIPTION .PP The \fBlset\fR command accepts a parameter, \fIvarName\fR, which -it interprets as the name of a variable containing a Tcl list. +it interprets as the name of a variable containing a Tcl list. It also accepts zero or more \fIindices\fR into the list. The indices may be presented either consecutively on the command line, or grouped in a @@ -40,7 +40,7 @@ In this case, \fInewValue\fR replaces the old value of the variable .PP When presented with a single index, the \fBlset\fR command treats the content of the \fIvarName\fR variable as a Tcl list. -It addresses the \fIindex\fR'th element in it +It addresses the \fIindex\fR'th element in it (0 refers to the first element of the list). When interpreting the list, \fBlset\fR observes the same rules concerning braces and quotes and backslashes as the Tcl command @@ -136,7 +136,7 @@ The indicated return value also becomes the new value of \fIx\fR. \fI\(-> {{a b} {c d}} {{e f} {j h}}\fR .CE .SH "SEE ALSO" -list(n), lappend(n), lindex(n), linsert(n), llength(n), lsearch(n), +list(n), lappend(n), lindex(n), linsert(n), llength(n), lsearch(n), lsort(n), lrange(n), lreplace(n), string(n) .SH KEYWORDS diff --git a/doc/lsort.n b/doc/lsort.n index 48c62f0..b0f7973 100644 --- a/doc/lsort.n +++ b/doc/lsort.n @@ -6,7 +6,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH lsort n 8.5 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -153,14 +153,14 @@ returns \fB\-nocase\fR . Causes comparisons to be handled in a case-insensitive manner. Has no -effect if combined with the \fB\-dictionary\fR, \fB\-integer\fR, or +effect if combined with the \fB\-dictionary\fR, \fB\-integer\fR, or \fB\-real\fR options. .TP \fB\-unique\fR . If this option is specified, then only the last set of duplicate elements found in the list will be retained. Note that duplicates are -determined relative to the comparison used in the sort. Thus if +determined relative to the comparison used in the sort. Thus if \fB\-index 0\fR is used, \fB{1 a}\fR and \fB{1 b}\fR would be considered duplicates and only the second element, \fB{1 b}\fR, would be retained. @@ -265,7 +265,7 @@ More complex sorting using a comparison function: {1 dingo} {2 banana} {0x2 carrot} {3 apple} .CE .SH "SEE ALSO" -list(n), lappend(n), lindex(n), linsert(n), llength(n), lsearch(n), +list(n), lappend(n), lindex(n), linsert(n), llength(n), lsearch(n), lset(n), lrange(n), lreplace(n) .SH KEYWORDS element, list, order, sort diff --git a/doc/mathfunc.n b/doc/mathfunc.n index 84853d8..7233d46 100644 --- a/doc/mathfunc.n +++ b/doc/mathfunc.n @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH mathfunc n 8.5 Tcl "Tcl Mathematical Functions" .so man.macros .BS @@ -142,7 +142,7 @@ than \fI0\fR, this is equivalent to \fBbool \fIarg\fR . Accepts any numeric value, or any string acceptable to -\fBstring is boolean\fR, and returns the corresponding +\fBstring is boolean\fR, and returns the corresponding boolean value \fB0\fR or \fB1\fR. Non-zero numbers are true. Other numbers are false. Non-numeric strings produce boolean value in agreement with \fBstring is true\fR and \fBstring is false\fR. @@ -243,7 +243,7 @@ is negative, \fIy\fR must be an integer value. .TP \fBrand\fR . -Returns a pseudo-random floating-point value in the range (\fI0\fR,\fI1\fR). +Returns a pseudo-random floating-point value in the range (\fI0\fR,\fI1\fR). The generator algorithm is a simple linear congruential generator that is not cryptographically secure. Each result from \fBrand\fR completely determines all future results from subsequent calls to \fBrand\fR, so @@ -290,7 +290,7 @@ Returns the hyperbolic tangent of \fIarg\fR. . The argument may be any numeric value. The integer part of \fIarg\fR is determined, and then the low order 64 bits of that integer value -are returned as an integer value. +are returned as an integer value. .SH "SEE ALSO" expr(n), mathop(n), namespace(n) .SH "COPYRIGHT" diff --git a/doc/memory.n b/doc/memory.n index 5a1524b..c8cdb21 100644 --- a/doc/memory.n +++ b/doc/memory.n @@ -2,7 +2,7 @@ '\" Copyright (c) 1992-1999 by Karl Lehenbauer and Mark Diekhans '\" Copyright (c) 2000 by Scriptics Corporation. '\" All rights reserved. -'\" +'\" .TH memory n 8.1 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -33,9 +33,9 @@ command mode. .TP \fBmemory info\fR . -Returns a report containing the total allocations and frees since +Returns a report containing the total allocations and frees since Tcl began, the current packets allocated (the current -number of calls to \fBckalloc\fR not met by a corresponding call +number of calls to \fBckalloc\fR not met by a corresponding call to \fBckfree\fR), the current bytes allocated, and the maximum number of packets and bytes allocated. .TP @@ -64,7 +64,7 @@ with it a string-valued tag. In the lists of allocated memory generated by \fBmemory active\fR and \fBmemory onexit\fR, the tag for each packet is printed along with other information about the packet. The \fBmemory tag\fR command sets the tag value for subsequent calls -to \fBckalloc\fR to be \fIstring\fR. +to \fBckalloc\fR to be \fIstring\fR. .TP \fBmemory trace \fR[\fBon\fR|\fBoff\fR] . @@ -91,7 +91,7 @@ being displayed for all allocations and frees. Since there can be a lot of memory activity before a problem occurs, judicious use of this option can reduce the slowdown caused by tracing (and the amount of trace information produced), if you can identify a number of allocations that occur before -the problem sets in. The current number of memory allocations that have +the problem sets in. The current number of memory allocations that have occurred since Tcl started is printed on a guard zone failure. .TP \fBmemory validate \fR[\fBon\fR|\fBoff\fR] diff --git a/doc/msgcat.n b/doc/msgcat.n index 34e153d..2fc1eee 100644 --- a/doc/msgcat.n +++ b/doc/msgcat.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH "msgcat" n 1.5 msgcat "Tcl Bundled Packages" .so man.macros .BS @@ -259,7 +259,7 @@ language[_country][.codeset][@modifier] .CE .PP to extract its parts. The initial locale is then set by calling -\fB::msgcat::mclocale\fR with the argument +\fB::msgcat::mclocale\fR with the argument .PP .CS language[_country][_modifier] diff --git a/doc/open.n b/doc/open.n index 3012460..1cccc0a 100644 --- a/doc/open.n +++ b/doc/open.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH open n 8.3 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -68,7 +68,7 @@ Set the initial access position to the end of the file. All of the legal \fIaccess\fR values above may have the character \fBb\fR added as the second or third character in the value to indicate that the opened channel should be configured as if with the -\fBfconfigure\fR \fB\-translation binary\fR option, making the channel suitable for +\fBfconfigure\fR \fB\-translation binary\fR option, making the channel suitable for reading or writing of binary data. .PP In the second form, \fIaccess\fR consists of a list of any of the @@ -382,7 +382,7 @@ pipe is closed. These problems only occur because both Tcl and the child application are competing for the console at the same time. If the command pipeline is started from a script, so that Tcl is not accessing the console, or if the command pipeline does not use standard input or output, but is -redirected from or to a file, then the above problems do not occur. +redirected from or to a file, then the above problems do not occur. .RE .TP \fBUnix\fR\0\0\0\0\0\0\0 @@ -402,7 +402,7 @@ some will be sent to the Tcl evaluator. This problem only occurs because both Tcl and the child application are competing for the console at the same time. If the command pipeline is started from a script, so that Tcl is not accessing the console, or if the command pipeline does not use standard -input, but is redirected from a file, then the above problem does not occur. +input, but is redirected from a file, then the above problem does not occur. .RE .PP See the \fBPORTABILITY ISSUES\fR section of the \fBexec\fR command for diff --git a/doc/package.n b/doc/package.n index 07a3d47..a6a972f 100644 --- a/doc/package.n +++ b/doc/package.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH package n 7.5 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -95,7 +95,7 @@ provided by a previous \fBpackage provide\fR command. If the \fIversion\fR argument is omitted, then the command returns the version number that is currently provided, or an empty string if no \fBpackage provide\fR command has been -invoked for \fIpackage\fR in this interpreter. +invoked for \fIpackage\fR in this interpreter. .TP \fBpackage require \fR\fIpackage \fR?\fIrequirement...\fR? . diff --git a/doc/pkgMkIndex.n b/doc/pkgMkIndex.n index c2f23ed..ec39be9 100644 --- a/doc/pkgMkIndex.n +++ b/doc/pkgMkIndex.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH pkg_mkIndex n 8.3 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -47,7 +47,7 @@ interpreter and seeing what packages and new commands appear (this is why it is essential to have \fBpackage provide\fR commands or \fBTcl_PkgProvide\fR calls in the files, as described above). -If you have a package split among scripts and binary files, +If you have a package split among scripts and binary files, or if you have dependencies among files, you may have to use the \fB\-load\fR option or adjust the order in which \fBpkg_mkIndex\fR processes @@ -132,7 +132,7 @@ version control: several versions of a package can be made available in the index files, with different applications using different versions based on \fBpackage require\fR commands. In contrast, \fBauto_mkindex\fR does not understand versions so -it can only handle a single version of each package. +it can only handle a single version of each package. It is probably not a good idea to index a given package with both \fBpkg_mkIndex\fR and \fBauto_mkindex\fR. If you use \fBpkg_mkIndex\fR to index a package, its commands cannot diff --git a/doc/proc.n b/doc/proc.n index 632485e..129f4df 100644 --- a/doc/proc.n +++ b/doc/proc.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH proc n "" Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -32,10 +32,10 @@ elements specifies one argument. Each argument specifier is also a list with either one or two fields. If there is only a single field in the specifier then it is the name of the argument; if there are two fields, then -the first is the argument name and the second is its default value. +the first is the argument name and the second is its default value. Arguments with default values that are followed by non-defaulted -arguments become required arguments. In 8.6 this will be considered an -error. +arguments become required arguments. In 8.6 this will be considered an +error. .PP When \fIname\fR is invoked a local variable will be created for each of the formal arguments to the procedure; its @@ -46,9 +46,9 @@ Arguments with default values need not be specified in a procedure invocation. However, there must be enough actual arguments for all the formal arguments that do not have defaults, and there must not be any extra -actual arguments. +actual arguments. Arguments with default values that are followed by non-defaulted -arguments become required arguments (in 8.6 it will be considered an +arguments become required arguments (in 8.6 it will be considered an error). There is one special case to permit procedures with variable numbers of arguments. If the last formal argument has the name @@ -62,7 +62,7 @@ When \fIbody\fR is being executed, variable names normally refer to local variables, which are created automatically when referenced and deleted when the procedure returns. One local variable is automatically created for each of the procedure's arguments. -Other variables can only be accessed by invoking one of the \fBglobal\fR, +Other variables can only be accessed by invoking one of the \fBglobal\fR, \fBvariable\fR, \fBupvar\fR or \fBnamespace upvar\fR commands. The current namespace when \fIbody\fR is executed will be the namespace that the procedure's name exists in, which will be the diff --git a/doc/read.n b/doc/read.n index 87aa897..9a9a7e8 100644 --- a/doc/read.n +++ b/doc/read.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH read n 8.1 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -58,12 +58,12 @@ configured to be nonblocking: \fBfconfigure\fI channelId \fB\-blocking \fI0\fR. Then \fBread\fR behaves much like described above. Care must be taken when using \fBread\fR on blocking serial ports: .TP -\fBread \fIchannelId numChars\fR +\fBread \fIchannelId numChars\fR . In this form \fBread\fR blocks until \fInumChars\fR have been received from the serial port. .TP -\fBread \fIchannelId\fR +\fBread \fIchannelId\fR . In this form \fBread\fR blocks until the reception of the end-of-file character, see \fBfconfigure\fR \fB\-eofchar\fR. If there no end-of-file diff --git a/doc/regexp.n b/doc/regexp.n index 5fc2895..6f303a4 100644 --- a/doc/regexp.n +++ b/doc/regexp.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH regexp n 8.3 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -51,7 +51,7 @@ the \fB(?x)\fR embedded option (see the \fBre_syntax\fR manual page). .TP 15 \fB\-indices\fR . -Changes what is stored in the \fImatchVar\fR and \fIsubMatchVar\fRs. +Changes what is stored in the \fImatchVar\fR and \fIsubMatchVar\fRs. Instead of storing the matching characters from \fIstring\fR, each variable will contain a list of two decimal strings giving the indices @@ -133,7 +133,7 @@ regular expression. Examples are: \fB\-start\fR \fIindex\fR . Specifies a character index offset into the string to start -matching the regular expression at. +matching the regular expression at. The \fIindex\fR value is interpreted in the same manner as the \fIindex\fR argument to \fBstring index\fR. When using this switch, diff --git a/doc/regsub.n b/doc/regsub.n index ef4c289..a5b79de 100644 --- a/doc/regsub.n +++ b/doc/regsub.n @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH regsub n 8.3 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -123,7 +123,7 @@ by \fIsubSpec\fR use the original unconverted form of \fIstring\fR. \fB\-start\fR \fIindex\fR . Specifies a character index offset into the string to start -matching the regular expression at. +matching the regular expression at. The \fIindex\fR value is interpreted in the same manner as the \fIindex\fR argument to \fBstring index\fR. When using this switch, diff --git a/doc/return.n b/doc/return.n index 383ed8c..ea590ea 100644 --- a/doc/return.n +++ b/doc/return.n @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH return n 8.5 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -24,7 +24,7 @@ return \- Return from a procedure, or set return code of a script In its simplest usage, the \fBreturn\fR command is used without options in the body of a procedure to immediately return control to the caller of the procedure. If a \fIresult\fR argument is provided, its value -becomes the result of the procedure passed back to the caller. +becomes the result of the procedure passed back to the caller. If \fIresult\fR is not specified then an empty string will be returned to the caller as the result of the procedure. .PP @@ -114,7 +114,7 @@ is meant to be additional information about the error, presented as a Tcl list for further processing by programs. If no \fB\-errorcode\fR option is provided to \fBreturn\fR when the \fB\-code error\fR option is provided, Tcl will set the value -of the \fB\-errorcode\fR entry in the return options dictionary +of the \fB\-errorcode\fR entry in the return options dictionary to the default value of \fBNONE\fR. The \fB\-errorcode\fR return option will also be stored in the global variable \fBerrorCode\fR. .TP @@ -124,7 +124,7 @@ The \fB\-errorinfo\fR option receives special treatment only when the value of the \fB\-code\fR option is \fBTCL_ERROR\fR. Then \fIinfo\fR is the initial stack trace, meant to provide to a human reader additional information about the context in which the error occurred. The stack trace will -also be stored in the global variable \fBerrorInfo\fR. +also be stored in the global variable \fBerrorInfo\fR. If no \fB\-errorinfo\fR option is provided to \fBreturn\fR when the \fB\-code error\fR option is provided, Tcl will provide its own initial stack trace value in the entry for \fB\-errorinfo\fR. Tcl's @@ -198,7 +198,7 @@ their documented interpretation in loops. .PP Procedure invocation also involves evaluation of a script, the body of the procedure. Procedure invocation provides special treatment -when evaluation of the procedure body returns the return code +when evaluation of the procedure body returns the return code \fBTCL_RETURN\fR. In that circumstance, the \fB\-level\fR entry in the return options dictionary is decremented. If after decrementing, the value of the \fB\-level\fR entry is 0, then the value of @@ -231,7 +231,7 @@ procedure, interrupting the procedure body. .CS proc printOneLine {} { puts "line 1" ;# This line will be printed. - \fBreturn\fR + \fBreturn\fR puts "line 2" ;# This line will not be printed. } .CE diff --git a/doc/safe.n b/doc/safe.n index 76184a5..b39f2c2 100644 --- a/doc/safe.n +++ b/doc/safe.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH "Safe Tcl" n 8.0 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -53,8 +53,8 @@ No knowledge of the file system structure is leaked to the safe interpreter, because it has access only to a virtualized path containing tokens. When the safe interpreter requests to source a file, it uses the token in the virtual path as part of the file name to source; the -master interpreter transparently -translates the token into a real directory name and executes the +master interpreter transparently +translates the token into a real directory name and executes the requested operation (see the section \fBSECURITY\fR below for details). Different levels of security can be selected by using the optional flags of the commands described below. @@ -81,7 +81,7 @@ other means, like \fBinterp create\fR \fB\-safe\fR. \fB::safe::interpConfigure\fR \fIslave\fR ?\fIoptions...\fR? If no \fIoptions\fR are given, returns the settings for all options for the named safe interpreter as a list of options and their current values -for that \fIslave\fR. +for that \fIslave\fR. If a single additional argument is provided, it will return a list of 2 elements \fIname\fR and \fIvalue\fR where \fIname\fR is the full name of that option and \fIvalue\fR the current value @@ -106,7 +106,7 @@ safe::interpConfigure $i0 \-delete {foo bar} \-statics 0 .RE .TP \fB::safe::interpDelete\fR \fIslave\fR -Deletes the safe interpreter and cleans up the corresponding +Deletes the safe interpreter and cleans up the corresponding master interpreter data structures. If a \fIdeleteHook\fR script was specified for this interpreter it is evaluated before the interpreter is deleted, with the name of the @@ -175,26 +175,26 @@ ERROR for slave interp10 : /foo/bar/init.tcl: no such file or directory .CE .RE .SS OPTIONS -The following options are common to -\fB::safe::interpCreate\fR, \fB::safe::interpInit\fR, +The following options are common to +\fB::safe::interpCreate\fR, \fB::safe::interpInit\fR, and \fB::safe::interpConfigure\fR. -Any option name can be abbreviated to its minimal +Any option name can be abbreviated to its minimal non-ambiguous name. Option names are not case sensitive. -.TP +.TP \fB\-accessPath\fR \fIdirectoryList\fR This option sets the list of directories from which the safe interpreter can \fBsource\fR and \fBload\fR files. If this option is not specified, or if it is given as the empty list, the safe interpreter will use the same directories as its master for auto-loading. -See the section \fBSECURITY\fR below for more detail about virtual paths, +See the section \fBSECURITY\fR below for more detail about virtual paths, tokens and access control. .TP \fB\-statics\fR \fIboolean\fR This option specifies if the safe interpreter will be allowed to load statically linked packages (like \fBload {} Tk\fR). -The default value is \fBtrue\fR : +The default value is \fBtrue\fR : safe interpreters are allowed to load statically linked packages. .TP \fB\-noStatics\fR @@ -205,7 +205,7 @@ to load statically linked packages. \fB\-nested\fR \fIboolean\fR This option specifies if the safe interpreter will be allowed to load packages into its own sub-interpreters. -The default value is \fBfalse\fR : +The default value is \fBfalse\fR : safe interpreters are not allowed to load packages into their own sub-interpreters. .TP @@ -213,7 +213,7 @@ their own sub-interpreters. This option is a convenience shortcut for \fB\-nested true\fR and thus specifies the safe interpreter will be allowed to load packages into its own sub-interpreters. -.TP +.TP \fB\-deleteHook\fR \fIscript\fR When this option is given a non-empty \fIscript\fR, it will be evaluated in the master with the name of @@ -286,17 +286,17 @@ This virtual path system is maintained in the master interpreter for each safe interpreter created by \fB::safe::interpCreate\fR or initialized by \fB::safe::interpInit\fR and the path maps tokens accessible in the safe interpreter into real path -names on the local file system thus preventing safe interpreters +names on the local file system thus preventing safe interpreters from gaining knowledge about the structure of the file system of the host on which the interpreter is executing. The only valid file names arguments for the \fBsource\fR and \fBload\fR aliases provided to the slave -are path in the form of +are path in the form of \fB[file join \fItoken filename\fB]\fR (i.e. when using the native file path formats: \fItoken\fB/\fIfilename\fR on Unix and \fItoken\fB\e\fIfilename\fR on Windows), -where \fItoken\fR is representing one of the directories +where \fItoken\fR is representing one of the directories of the \fIaccessPath\fR list and \fIfilename\fR is one file in that directory (no sub directories access are allowed). .PP @@ -323,25 +323,25 @@ list will be assigned a token that will be set in the slave \fBauto_path\fR and the first element of that list will be set as the \fBtcl_library\fR for that slave. .PP -If the access path argument is not given or is the empty list, +If the access path argument is not given or is the empty list, the default behavior is to let the slave access the same packages -as the master has access to (Or to be more precise: +as the master has access to (Or to be more precise: only packages written in Tcl (which by definition cannot be dangerous as they run in the slave interpreter) and C extensions that -provides a _SafeInit entry point). For that purpose, the master's -\fBauto_path\fR will be used to construct the slave access path. +provides a _SafeInit entry point). For that purpose, the master's +\fBauto_path\fR will be used to construct the slave access path. In order that the slave successfully loads the Tcl library files (which includes the auto-loading mechanism itself) the \fBtcl_library\fR will be -added or moved to the first position if necessary, in the +added or moved to the first position if necessary, in the slave access path, so the slave \fBtcl_library\fR will be the same as the master's (its real -path will still be invisible to the slave though). +path will still be invisible to the slave though). In order that auto-loading works the same for the slave and the master in this by default case, the first-level sub directories of each directory in the master \fBauto_path\fR will also be added (if not already included) to the slave access path. You can always specify a more -restrictive path for which sub directories will never be searched by +restrictive path for which sub directories will never be searched by explicitly specifying your directory list with the \fB\-accessPath\fR flag instead of relying on this default mechanism. .PP diff --git a/doc/scan.n b/doc/scan.n index 5b91449..d963d6c 100644 --- a/doc/scan.n +++ b/doc/scan.n @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH scan n 8.4 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -37,7 +37,7 @@ performed. If the next character in \fIformat\fR is a blank or tab then it matches any number of white space characters in \fIstring\fR (including zero). -Otherwise, if it is not a \fB%\fR character then it +Otherwise, if it is not a \fB%\fR character then it must match the next character of \fIstring\fR. When a \fB%\fR is encountered in \fIformat\fR, it indicates the start of a conversion specifier. @@ -52,7 +52,7 @@ The fields that are present must appear in the order given above. When \fBscan\fR finds a conversion specifier in \fIformat\fR, it first skips any white-space characters in \fIstring\fR (unless the conversion character is \fB[\fR or \fBc\fR). -Then it converts the next input characters according to the +Then it converts the next input characters according to the conversion specifier and stores the result in the variable given by the next argument to \fBscan\fR. .SS "OPTIONAL POSITIONAL SPECIFIER" @@ -95,7 +95,7 @@ truncated as required by the size modifier value. .TP \fBo\fR . -The input substring must be an octal integer. It is read in and the +The input substring must be an octal integer. It is read in and the integer value is stored in the variable, truncated as required by the size modifier value. .TP @@ -130,22 +130,22 @@ truncated as required by the size modifier value. .TP \fBc\fR . -A single character is read in and its Unicode value is stored in +A single character is read in and its Unicode value is stored in the variable as an integer value. Initial white space is not skipped in this case, so the input substring may be a white-space character. .TP \fBs\fR . -The input substring consists of all the characters up to the next +The input substring consists of all the characters up to the next white-space character; the characters are copied to the variable. .TP \fBe\fR or \fBf\fR or \fBg\fR or \fBE\fR or \fBG\fR . -The input substring must be a floating-point number consisting +The input substring must be a floating-point number consisting of an optional sign, a string of decimal digits possibly -containing a decimal point, and an optional exponent consisting -of an \fBe\fR or \fBE\fR followed by an optional sign and a string of +containing a decimal point, and an optional exponent consisting +of an \fBe\fR or \fBE\fR followed by an optional sign and a string of decimal digits. It is read in and stored in the variable as a floating-point value. .TP @@ -166,8 +166,8 @@ it is treated as part of \fIchars\fR rather than indicating a range. . The input substring consists of one or more characters not in \fIchars\fR. The matching string is stored in the variable. -If the character immediately following the \fB^\fR is a \fB]\fR then it is -treated as part of the set rather than the closing bracket for +If the character immediately following the \fB^\fR is a \fB]\fR then it is +treated as part of the set rather than the closing bracket for the set. If \fIchars\fR contains a sequence of the form \fIa\fB\-\fIb\fR then any @@ -183,12 +183,12 @@ of characters scanned from the input string so far is stored in the variable. .PP The number of characters read from the input for a conversion is the largest number that makes sense for that particular conversion (e.g. -as many decimal digits as possible for \fB%d\fR, as +as many decimal digits as possible for \fB%d\fR, as many octal digits as possible for \fB%o\fR, and so on). The input substring for a given conversion terminates either when a -white-space character is encountered or when the maximum substring +white-space character is encountered or when the maximum substring width has been reached, whichever comes first. -If a \fB*\fR is present in the conversion specifier +If a \fB*\fR is present in the conversion specifier then no variable is assigned and the next scan argument is not consumed. .SH "DIFFERENCES FROM ANSI SSCANF" .PP diff --git a/doc/set.n b/doc/set.n index 545b15f..f065087 100644 --- a/doc/set.n +++ b/doc/set.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH set n "" Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -29,14 +29,14 @@ Otherwise \fIvarName\fR refers to a scalar variable. If \fIvarName\fR includes namespace qualifiers (in the array name if it refers to an array element), or if \fIvarName\fR is unqualified (does not include the names of any containing namespaces) -but no procedure is active, +but no procedure is active, \fIvarName\fR refers to a namespace variable resolved according to the rules described under \fBNAME RESOLUTION\fR in the \fBnamespace\fR manual page. .PP If a procedure is active and \fIvarName\fR is unqualified, then \fIvarName\fR refers to a parameter or local variable of the procedure, -unless \fIvarName\fR was declared to resolve differently through one of the +unless \fIvarName\fR was declared to resolve differently through one of the \fBglobal\fR, \fBvariable\fR or \fBupvar\fR commands. .SH EXAMPLES .PP diff --git a/doc/socket.n b/doc/socket.n index 275771d..3efdb37 100644 --- a/doc/socket.n +++ b/doc/socket.n @@ -98,9 +98,9 @@ asynchronous connection has succeeded or failed. See the \fBvwait\fR and the \fBchan\fR commands for more details on the event loop and channel events. .PP -The \fBchan configure\fR option \fB-connecting\fR may be used to check if the connect is still running. To verify a successful connect, the option \fB-error\fR may be checked when \fB-connecting\fR returned 0. +The \fBchan configure\fR option \fB-connecting\fR may be used to check if the connect is still running. To verify a successful connect, the option \fB-error\fR may be checked when \fB-connecting\fR returned 0. .PP -Operation without the event queue requires at the moment calls to \fBchan configure\fR to advance the internal state machine. +Operation without the event queue requires at the moment calls to \fBchan configure\fR to advance the internal state machine. .RE .SH "SERVER SOCKETS" .PP diff --git a/doc/string.n b/doc/string.n index 33780ff..00ce85c 100644 --- a/doc/string.n +++ b/doc/string.n @@ -4,7 +4,7 @@ .\" .\" See the file "license.terms" for information on usage and redistribution .\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -.\" +.\" .TH string n 8.1 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -443,7 +443,7 @@ would refer to the in .QW abcd ). .IP \fIM\fB+\fIN\fR 10 -The char specified at the integral index that is the sum of +The char specified at the integral index that is the sum of integer values \fIM\fR and \fIN\fR (e.g., .QW \fB1+1\fR would refer to the @@ -451,7 +451,7 @@ would refer to the in .QW abcd ). .IP \fIM\fB\-\fIN\fR 10 -The char specified at the integral index that is the difference of +The char specified at the integral index that is the difference of integer values \fIM\fR and \fIN\fR (e.g., .QW \fB2\-1\fR would refer to the diff --git a/doc/subst.n b/doc/subst.n index 990b9d3..4518140 100644 --- a/doc/subst.n +++ b/doc/subst.n @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH subst n 7.4 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -33,7 +33,7 @@ For example, if \fB\-nocommands\fR is specified, command substitution is not performed: open and close brackets are treated as ordinary characters with no special interpretation. .PP -Note that the substitution of one kind can include substitution of +Note that the substitution of one kind can include substitution of other kinds. For example, even when the \fB\-novariables\fR option is specified, command substitution is performed without restriction. This means that any variable substitution necessary to complete the diff --git a/doc/tcltest.n b/doc/tcltest.n index 29265be..cedc763 100644 --- a/doc/tcltest.n +++ b/doc/tcltest.n @@ -7,7 +7,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH "tcltest" n 2.3 tcltest "Tcl Bundled Packages" .so man.macros .BS @@ -118,7 +118,7 @@ all \fIoption\fRs begin with .TP \fBloadTestedCommands\fR . -Evaluates in the caller's context the script specified by +Evaluates in the caller's context the script specified by \fBconfigure \-load\fR or \fBconfigure \-loadfile\fR. Returns the result of that script evaluation, including any error raised by the script. Use this command and the related @@ -486,7 +486,7 @@ test, typically test failure messages. Good \fIdescription\fR values should briefly explain the purpose of the test to users of a test suite. The name of a Tcl or C function being tested should be included in the description for regression tests. If the test case exists to reproduce -a bug, include the bug ID in the description. +a bug, include the bug ID in the description. .PP Valid attributes and associated values are: .TP @@ -508,8 +508,8 @@ should be accomplished by the \fB\-constraints\fR option, not by conditional evaluation of \fBtest\fR. In that way, the same number of tests are always reported by the test suite, though the number skipped may change based on the testing environment. -The default value is an empty list. -See \fBTEST CONSTRAINTS\fR below for a list of built-in constraints +The default value is an empty list. +See \fBTEST CONSTRAINTS\fR below for a list of built-in constraints and information on how to add your own constraints. .TP \fB\-setup \fIscript\fR @@ -521,7 +521,7 @@ is an empty script. .TP \fB\-body \fIscript\fR . -The \fB\-body\fR attribute indicates the \fIscript\fR to run to carry out the +The \fB\-body\fR attribute indicates the \fIscript\fR to run to carry out the test, which must return a result that can be checked for correctness. If evaluation of \fIscript\fR raises an error, the test will fail (unless the \fB\-returnCodes\fR option is used to state that an error @@ -561,7 +561,7 @@ processed for comparison. \fB\-errorOutput \fIexpectedValue\fR . The \fB\-errorOutput\fR attribute supplies the \fIexpectedValue\fR against -which any output sent to \fBstderr\fR or \fBerrorChannel\fR during +which any output sent to \fBstderr\fR or \fBerrorChannel\fR during evaluation of the script(s) will be compared. Note that only output printed using the global \fBputs\fR command is used for comparison. If \fB\-errorOutput\fR is not specified, output sent to \fBstderr\fR and @@ -661,7 +661,7 @@ This test can only be run on a Mac or Unix platform. \fItempNotWin\fR . This test can not be run on Windows. This flag is used to temporarily -disable a test. +disable a test. .TP \fItempNotMac\fR . @@ -671,17 +671,17 @@ to temporarily disable a test. \fIunixCrash\fR . This test crashes if it is run on Unix. This flag is used to temporarily -disable a test. +disable a test. .TP \fIwinCrash\fR . This test crashes if it is run on Windows. This flag is used to temporarily -disable a test. +disable a test. .TP \fImacCrash\fR . This test crashes if it is run on a Mac. This flag is used to temporarily -disable a test. +disable a test. .TP \fIemptyTest\fR . @@ -702,17 +702,17 @@ This test can only be run in some known development environment. Some tests are inherently non-portable because they depend on things like word length, file system configuration, window manager, etc. This constraint has value false to cause tests to be skipped unless -the user specifies otherwise. +the user specifies otherwise. .TP \fIuserInteraction\fR . This test requires interaction from the user. This constraint has value false to causes tests to be skipped unless the user specifies -otherwise. +otherwise. .TP \fIinteractive\fR . -This test can only be run in if the interpreter is in interactive mode +This test can only be run in if the interpreter is in interactive mode (when the global tcl_interactive variable is set to 1). .TP \fInonBlockFiles\fR @@ -792,7 +792,7 @@ and sorted. Then each file will be evaluated in turn. If be \fBsource\fRd in the caller's context. If it is false, then a copy of \fBinterpreter\fR will be \fBexec\fR'd to evaluate each file. The multi-process operation is useful -when testing can cause errors so severe that a process +when testing can cause errors so severe that a process terminates. Although such an error may terminate a child process evaluating one file, the master process can continue with the rest of the test suite. In multi-process operation, @@ -875,7 +875,7 @@ a list of zero or more of the elements \fBbody\fR, \fBpass\fR, \fBskip\fR, \fBstart\fR, \fBerror\fR and \fBline\fR. Default value is .QW "\fBbody error\fR" . -Levels are defined as: +Levels are defined as: .RS .IP "body (\fBb\fR)" Display the body of failed tests @@ -911,7 +911,7 @@ test files have been evaluated. .IP 1 Also check for core files at the end of each \fBtest\fR command. .IP 2 -Check for core files at all times described above, and save a +Check for core files at all times described above, and save a copy of each core file produced in \fBconfigure \-tmpdir\fR. .RE .TP @@ -988,7 +988,7 @@ Sets the filename from which to read a script to be evaluated by \fBloadTestedCommands\fR. This is an alternative to \fB\-load\fR. They cannot be used together. .TP -\fB\-outfile \fIfilename\fR +\fB\-outfile \fIfilename\fR . Sets the file to which all output produced by tcltest should be written. A file named \fIfilename\fR will be \fBopen\fRed for writing, @@ -1065,7 +1065,7 @@ used by \fBrunAllTests\fR to find test files. It is a good rule of thumb to have one test file for each source code file of your project. It is good practice to edit the test file and the source code file together, keeping tests synchronized with code changes. -.PP +.PP Most of the code in the test file should be the \fBtest\fR commands. Use constraints to skip tests, rather than conditional evaluation of \fBtest\fR. @@ -1199,7 +1199,7 @@ to establish a configuration from command line arguments. There are two known issues related to nested evaluations of \fBtest\fR. The first issue relates to the stack level in which test scripts are executed. Tests nested within other tests may be executed at the same -stack level as the outermost test. For example, in the following code: +stack level as the outermost test. For example, in the following code: .PP .CS \fBtest\fR level-1.1 {level 1} { @@ -1211,7 +1211,7 @@ stack level as the outermost test. For example, in the following code: .CE .PP any script executed in level-2.1 may be executed at the same stack -level as the script defined for level-1.1. +level as the script defined for level-1.1. .PP In addition, while two \fBtest\fRs have been run, results will only be reported by \fBcleanupTests\fR for tests at the same level as @@ -1241,7 +1241,7 @@ script is being run. Errors thrown by C procedures or printed directly from C applications will not be caught by the \fBtest\fR command. Therefore, usage of the \fB\-output\fR and \fB\-errorOutput\fR options to \fBtest\fR is useful only for pure Tcl applications -that use \fBputs\fR to produce output. +that use \fBputs\fR to produce output. .SH KEYWORDS test, test harness, test suite .\" Local Variables: diff --git a/doc/tclvars.n b/doc/tclvars.n index a256c21..adefe40 100644 --- a/doc/tclvars.n +++ b/doc/tclvars.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH tclvars n 8.0 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -94,7 +94,7 @@ Note that this environment variable should \fInot\fR normally be set. \fBenv(TCLLIBPATH)\fR . If set, then it must contain a valid Tcl list giving directories to -search during auto-load operations. Directories must be specified in +search during auto-load operations. Directories must be specified in Tcl format, using .QW / as the path separator, regardless of platform. @@ -229,7 +229,7 @@ nested Tcl commands that had been invoked at the time of the error. This variable holds the name of a directory containing the system library of Tcl scripts, such as those used for auto-loading. The value of this variable is returned by the \fBinfo library\fR command. -See the \fBlibrary\fR manual entry for details of the facilities +See the \fBlibrary\fR manual entry for details of the facilities provided by the Tcl script library. Normally each application or package will have its own application-specific script library in addition to the Tcl script library; @@ -289,7 +289,7 @@ predefined elements are: \fBbyteOrder\fR . The native byte order of this machine: either \fBlittleEndian\fR or -\fBbigEndian\fR. +\fBbigEndian\fR. .TP \fBdebug\fR . @@ -376,7 +376,7 @@ binary number. .PP .RS If \fBtcl_precision\fR is not zero, then when Tcl converts a floating -point number, it creates a decimal representation of at most +point number, it creates a decimal representation of at most \fBtcl_precision\fR significant digits; the result may be shorter if the shorter result represents the original number exactly. If no result of at most \fBtcl_precision\fR digits is an exact representation diff --git a/doc/trace.n b/doc/trace.n index 4ae7e19..5482e59 100644 --- a/doc/trace.n +++ b/doc/trace.n @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH trace n "8.4" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/transchan.n b/doc/transchan.n index e00aa84..4da74f2 100644 --- a/doc/transchan.n +++ b/doc/transchan.n @@ -1,4 +1,4 @@ -'\" +'\" '\" Copyright (c) 2008 Donal K. Fellows '\" '\" See the file "license.terms" for information on usage and redistribution diff --git a/doc/try.n b/doc/try.n index 834ccc1..eae4dc7 100644 --- a/doc/try.n +++ b/doc/try.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH try n 8.6 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/unknown.n b/doc/unknown.n index cdfbe43..82dcefc 100644 --- a/doc/unknown.n +++ b/doc/unknown.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH unknown n "" Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -21,14 +21,14 @@ tries to invoke a command that does not exist. The default implementation of \fBunknown\fR is a library procedure defined when Tcl initializes an interpreter. You can override the default \fBunknown\fR to change its functionality, or you can register a new handler for individual namespaces -using the \fBnamespace unknown\fR command. Note that there is no default +using the \fBnamespace unknown\fR command. Note that there is no default implementation of \fBunknown\fR in a safe interpreter. .PP If the Tcl interpreter encounters a command name for which there -is not a defined command (in either the current namespace, or the +is not a defined command (in either the current namespace, or the global namespace), then Tcl checks for the existence of an unknown handler for the current namespace. By default, this -handler is a command named \fB::unknown\fR. If there is no such +handler is a command named \fB::unknown\fR. If there is no such command, then the interpreter returns an error. If the \fBunknown\fR command exists (or a new handler has been registered for the current namespace), then it is invoked with diff --git a/doc/unload.n b/doc/unload.n index febd694..0a8e99b 100644 --- a/doc/unload.n +++ b/doc/unload.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH unload n 8.5 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -45,7 +45,7 @@ never report an error. \fB\-keeplibrary\fR . This switch will prevent \fBunload\fR from issuing the operating system call -that will unload the library from the process. +that will unload the library from the process. .TP \fB\-\|\-\fR . @@ -109,7 +109,7 @@ the library is used by other interpreters), \fBTCL_UNLOAD_DETACH_FROM_INTERPRETER\fR will be defined. However, if the library is used only by the target interpreter and the library will be detached from the application as soon as the unload procedure returns, -the \fIflags\fR argument will be set to \fBTCL_UNLOAD_DETACH_FROM_PROCESS\fR. +the \fIflags\fR argument will be set to \fBTCL_UNLOAD_DETACH_FROM_PROCESS\fR. .SS NOTES .PP The \fBunload\fR command cannot unload libraries that are statically diff --git a/doc/unset.n b/doc/unset.n index 8b63959..2cfc63e 100644 --- a/doc/unset.n +++ b/doc/unset.n @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH unset n 8.4 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/update.n b/doc/update.n index 875172a..ce0fb25 100644 --- a/doc/update.n +++ b/doc/update.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH update n 7.5 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/uplevel.n b/doc/uplevel.n index a96f729..4decc6d 100644 --- a/doc/uplevel.n +++ b/doc/uplevel.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH uplevel n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/upvar.n b/doc/upvar.n index 380a390..91defe6 100644 --- a/doc/upvar.n +++ b/doc/upvar.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH upvar n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/variable.n b/doc/variable.n index 7d58a02..a6e545f 100644 --- a/doc/variable.n +++ b/doc/variable.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH variable n 8.0 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/vwait.n b/doc/vwait.n index c9b51ab..f64d39c 100644 --- a/doc/vwait.n +++ b/doc/vwait.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH vwait n 8.0 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/while.n b/doc/while.n index 60275e8..961260c 100644 --- a/doc/while.n +++ b/doc/while.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH while n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/zlib.n b/doc/zlib.n index b8d0ee5..9f3078d 100644 --- a/doc/zlib.n +++ b/doc/zlib.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH zlib n 8.6 Tcl "Tcl Built-In Commands" .so man.macros .BS @@ -81,7 +81,7 @@ named by the \fBfilename\fR field was modified. Suitable for use with The type of the uncompressed data (\fBbinary\fR or \fBtext\fR) if known. .RE .TP -\fBzlib gzip\fI string\fR ?\fB\-level \fIlevel\fR? ?\fB\-header \fIdict\fR? +\fBzlib gzip\fI string\fR ?\fB\-level \fIlevel\fR? ?\fB\-header \fIdict\fR? . Return the compressed contents of binary string \fIstring\fR in gzip format. If \fB\-level\fR is given, \fIlevel\fR gives the compression level to use -- cgit v0.12 From fa311630abcb2439d3c9701efbfc94ad0041d86d Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 2 Mar 2016 15:29:48 +0000 Subject: [bbc304f61a] Proposed fix for reflected watch race condition. --- generic/tclIORChan.c | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/generic/tclIORChan.c b/generic/tclIORChan.c index 21c766e..9c79f5f 100644 --- a/generic/tclIORChan.c +++ b/generic/tclIORChan.c @@ -1609,7 +1609,7 @@ ReflectWatch( return; } - rcPtr->interest = mask; +// rcPtr->interest = mask; /* * Are we in the correct thread? @@ -1633,6 +1633,7 @@ ReflectWatch( Tcl_Preserve(rcPtr); + rcPtr->interest = mask; maskObj = DecodeEventMask(mask); /* assert maskObj.refCount == 1 */ (void) InvokeTclMethod(rcPtr, METH_WATCH, maskObj, NULL, NULL); @@ -3083,6 +3084,7 @@ ForwardProc( /* assert maskObj.refCount == 1 */ Tcl_Preserve(rcPtr); + rcPtr->interest = paramPtr->watch.mask; (void) InvokeTclMethod(rcPtr, METH_WATCH, maskObj, NULL, NULL); Tcl_DecrRefCount(maskObj); Tcl_Release(rcPtr); -- cgit v0.12 From 46cb341dbc07abb1df54318ad9d55c41a5a68668 Mon Sep 17 00:00:00 2001 From: gahr Date: Thu, 3 Mar 2016 08:30:56 +0000 Subject: Clarify that weekends are intended as Saturdays and Sundays --- doc/clock.n | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/doc/clock.n b/doc/clock.n index 53db33e..ac50e36 100644 --- a/doc/clock.n +++ b/doc/clock.n @@ -212,7 +212,7 @@ time zone and locale. The requisite number of days (weeks are converted to days by multiplying by seven) is added to the calendar day, and the date and time are then converted back to a count of seconds from the epoch time. The \fBweekdays\fR keyword is similar to \fBdays\fR, -with the only difference that weekends are skipped. +with the only difference that weekends - Saturdays and Sundays - are skipped. .PP Adding and subtracting a given number of days across the point that the time changes at the start or end of summer time (Daylight Saving Time) -- cgit v0.12 -- cgit v0.12 From 14ed75f370cd191162041f91fa4905e7ff6b4944 Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 3 Mar 2016 19:45:52 +0000 Subject: Bump trunk to 8.7a0 to accept new feature development. --- README | 8 +- generic/tcl.h | 10 +- library/init.tcl | 2 +- macosx/Tcl-Common.xcconfig | 2 +- tools/tcl.hpj.in | 4 +- unix/configure | 20469 +++++++++++++------------------------------ unix/configure.in | 10 +- unix/tcl.spec | 2 +- win/README | 8 +- win/configure | 6489 +++++++------- win/configure.in | 8 +- win/makefile.bc | 4 +- win/tcl.m4 | 8 +- 13 files changed, 9292 insertions(+), 17732 deletions(-) diff --git a/README b/README index f3e50dd..aab0db5 100644 --- a/README +++ b/README @@ -1,5 +1,5 @@ README: Tcl - This is the Tcl 8.6.5 source distribution. + This is the Tcl 8.7a0 source distribution. http://sourceforge.net/projects/tcl/files/Tcl/ You can get any source release of Tcl from the URL above. @@ -49,7 +49,7 @@ and selling it either in whole or in part. See the file Extensive documentation is available at our website. The home page for this release, including new features, is - http://www.tcl.tk/software/tcltk/8.6.html + http://www.tcl.tk/software/tcltk/8.7.html Detailed release notes can be found at the file distributions page by clicking on the relevant version. @@ -61,9 +61,9 @@ Information about Tcl itself can be found at There have been many Tcl books on the market. Many are mentioned in the Wiki: http://wiki.tcl.tk/_/ref?N=25206 -To view the complete set of reference manual entries for Tcl 8.6 online, +To view the complete set of reference manual entries for Tcl 8.7 online, visit the URL: - http://www.tcl.tk/man/tcl8.6/ + http://www.tcl.tk/man/tcl8.7/ 2a. Unix Documentation ---------------------- diff --git a/generic/tcl.h b/generic/tcl.h index 3490049..905a51d 100644 --- a/generic/tcl.h +++ b/generic/tcl.h @@ -54,12 +54,12 @@ extern "C" { */ #define TCL_MAJOR_VERSION 8 -#define TCL_MINOR_VERSION 6 -#define TCL_RELEASE_LEVEL TCL_FINAL_RELEASE -#define TCL_RELEASE_SERIAL 5 +#define TCL_MINOR_VERSION 7 +#define TCL_RELEASE_LEVEL TCL_ALPHA_RELEASE +#define TCL_RELEASE_SERIAL 0 -#define TCL_VERSION "8.6" -#define TCL_PATCH_LEVEL "8.6.5" +#define TCL_VERSION "8.7" +#define TCL_PATCH_LEVEL "8.7a0" /* *---------------------------------------------------------------------------- diff --git a/library/init.tcl b/library/init.tcl index 9fd2170..544ea77 100644 --- a/library/init.tcl +++ b/library/init.tcl @@ -16,7 +16,7 @@ if {[info commands package] == ""} { error "version mismatch: library\nscripts expect Tcl version 7.5b1 or later but the loaded version is\nonly [info patchlevel]" } -package require -exact Tcl 8.6.5 +package require -exact Tcl 8.7a0 # Compute the auto path to use in this interpreter. # The values on the path come from several locations: diff --git a/macosx/Tcl-Common.xcconfig b/macosx/Tcl-Common.xcconfig index 9c47547..f1ecee6 100644 --- a/macosx/Tcl-Common.xcconfig +++ b/macosx/Tcl-Common.xcconfig @@ -34,4 +34,4 @@ TCL_CONFIGURE_ARGS = --enable-threads --enable-dtrace TCL_LIBRARY = $(LIBDIR)/tcl$(VERSION) TCL_PACKAGE_PATH = "$(LIBDIR)" TCL_DEFS = HAVE_TCL_CONFIG_H -VERSION = 8.6 +VERSION = 8.7 diff --git a/tools/tcl.hpj.in b/tools/tcl.hpj.in index a94cea6..08d411d 100644 --- a/tools/tcl.hpj.in +++ b/tools/tcl.hpj.in @@ -5,9 +5,9 @@ HCW=0 LCID=0x409 0x0 0x0 ;English (United States) REPORT=Yes TITLE=Tcl/Tk Reference Manual -CNT=tcl86.cnt +CNT=tcl87.cnt COPYRIGHT=Copyright © 2000 Ajuba Solutions -HLP=tcl86.hlp +HLP=tcl87.hlp [FILES] tcl.rtf diff --git a/unix/configure b/unix/configure index 2e774f7..3f9aa13 100755 --- a/unix/configure +++ b/unix/configure @@ -1,81 +1,459 @@ #! /bin/sh # Guess values for system-dependent variables and create Makefiles. -# Generated by GNU Autoconf 2.59 for tcl 8.6. +# Generated by GNU Autoconf 2.69 for tcl 8.7. +# +# +# Copyright (C) 1992-1996, 1998-2012 Free Software Foundation, Inc. +# # -# Copyright (C) 2003 Free Software Foundation, Inc. # This configure script is free software; the Free Software Foundation # gives unlimited permission to copy, distribute and modify it. -## --------------------- ## -## M4sh Initialization. ## -## --------------------- ## +## -------------------- ## +## M4sh Initialization. ## +## -------------------- ## -# Be Bourne compatible -if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then +# Be more Bourne compatible +DUALCASE=1; export DUALCASE # for MKS sh +if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then : emulate sh NULLCMD=: - # Zsh 3.x and 4.x performs word splitting on ${1+"$@"}, which + # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which # is contrary to our usage. Disable this feature. alias -g '${1+"$@"}'='"$@"' -elif test -n "${BASH_VERSION+set}" && (set -o posix) >/dev/null 2>&1; then - set -o posix + setopt NO_GLOB_SUBST +else + case `(set -o) 2>/dev/null` in #( + *posix*) : + set -o posix ;; #( + *) : + ;; +esac fi -DUALCASE=1; export DUALCASE # for MKS sh -# Support unset when possible. -if ( (MAIL=60; unset MAIL) || exit) >/dev/null 2>&1; then - as_unset=unset -else - as_unset=false + +as_nl=' +' +export as_nl +# Printing a long string crashes Solaris 7 /usr/bin/printf. +as_echo='\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\' +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo$as_echo +# Prefer a ksh shell builtin over an external printf program on Solaris, +# but without wasting forks for bash or zsh. +if test -z "$BASH_VERSION$ZSH_VERSION" \ + && (test "X`print -r -- $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='print -r --' + as_echo_n='print -rn --' +elif (test "X`printf %s $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='printf %s\n' + as_echo_n='printf %s' +else + if test "X`(/usr/ucb/echo -n -n $as_echo) 2>/dev/null`" = "X-n $as_echo"; then + as_echo_body='eval /usr/ucb/echo -n "$1$as_nl"' + as_echo_n='/usr/ucb/echo -n' + else + as_echo_body='eval expr "X$1" : "X\\(.*\\)"' + as_echo_n_body='eval + arg=$1; + case $arg in #( + *"$as_nl"*) + expr "X$arg" : "X\\(.*\\)$as_nl"; + arg=`expr "X$arg" : ".*$as_nl\\(.*\\)"`;; + esac; + expr "X$arg" : "X\\(.*\\)" | tr -d "$as_nl" + ' + export as_echo_n_body + as_echo_n='sh -c $as_echo_n_body as_echo' + fi + export as_echo_body + as_echo='sh -c $as_echo_body as_echo' fi +# The user is always right. +if test "${PATH_SEPARATOR+set}" != set; then + PATH_SEPARATOR=: + (PATH='/bin;/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 && { + (PATH='/bin:/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 || + PATH_SEPARATOR=';' + } +fi + + +# IFS +# We need space, tab and new line, in precisely that order. Quoting is +# there to prevent editors from complaining about space-tab. +# (If _AS_PATH_WALK were called with IFS unset, it would disable word +# splitting by setting IFS to empty value.) +IFS=" "" $as_nl" + +# Find who we are. Look in the path if we contain no directory separator. +as_myself= +case $0 in #(( + *[\\/]* ) as_myself=$0 ;; + *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break + done +IFS=$as_save_IFS -# Work around bugs in pre-3.0 UWIN ksh. -$as_unset ENV MAIL MAILPATH + ;; +esac +# We did not find ourselves, most probably we were run as `sh COMMAND' +# in which case we are not to be found in the path. +if test "x$as_myself" = x; then + as_myself=$0 +fi +if test ! -f "$as_myself"; then + $as_echo "$as_myself: error: cannot find myself; rerun with an absolute file name" >&2 + exit 1 +fi + +# Unset variables that we do not need and which cause bugs (e.g. in +# pre-3.0 UWIN ksh). But do not cause bugs in bash 2.01; the "|| exit 1" +# suppresses any "Segmentation fault" message there. '((' could +# trigger a bug in pdksh 5.2.14. +for as_var in BASH_ENV ENV MAIL MAILPATH +do eval test x\${$as_var+set} = xset \ + && ( (unset $as_var) || exit 1) >/dev/null 2>&1 && unset $as_var || : +done PS1='$ ' PS2='> ' PS4='+ ' # NLS nuisances. -for as_var in \ - LANG LANGUAGE LC_ADDRESS LC_ALL LC_COLLATE LC_CTYPE LC_IDENTIFICATION \ - LC_MEASUREMENT LC_MESSAGES LC_MONETARY LC_NAME LC_NUMERIC LC_PAPER \ - LC_TELEPHONE LC_TIME +LC_ALL=C +export LC_ALL +LANGUAGE=C +export LANGUAGE + +# CDPATH. +(unset CDPATH) >/dev/null 2>&1 && unset CDPATH + +# Use a proper internal environment variable to ensure we don't fall + # into an infinite loop, continuously re-executing ourselves. + if test x"${_as_can_reexec}" != xno && test "x$CONFIG_SHELL" != x; then + _as_can_reexec=no; export _as_can_reexec; + # We cannot yet assume a decent shell, so we have to provide a +# neutralization value for shells without unset; and this also +# works around shells that cannot unset nonexistent variables. +# Preserve -v and -x to the replacement shell. +BASH_ENV=/dev/null +ENV=/dev/null +(unset BASH_ENV) >/dev/null 2>&1 && unset BASH_ENV ENV +case $- in # (((( + *v*x* | *x*v* ) as_opts=-vx ;; + *v* ) as_opts=-v ;; + *x* ) as_opts=-x ;; + * ) as_opts= ;; +esac +exec $CONFIG_SHELL $as_opts "$as_myself" ${1+"$@"} +# Admittedly, this is quite paranoid, since all the known shells bail +# out after a failed `exec'. +$as_echo "$0: could not re-execute with $CONFIG_SHELL" >&2 +as_fn_exit 255 + fi + # We don't want this to propagate to other subprocesses. + { _as_can_reexec=; unset _as_can_reexec;} +if test "x$CONFIG_SHELL" = x; then + as_bourne_compatible="if test -n \"\${ZSH_VERSION+set}\" && (emulate sh) >/dev/null 2>&1; then : + emulate sh + NULLCMD=: + # Pre-4.2 versions of Zsh do word splitting on \${1+\"\$@\"}, which + # is contrary to our usage. Disable this feature. + alias -g '\${1+\"\$@\"}'='\"\$@\"' + setopt NO_GLOB_SUBST +else + case \`(set -o) 2>/dev/null\` in #( + *posix*) : + set -o posix ;; #( + *) : + ;; +esac +fi +" + as_required="as_fn_return () { (exit \$1); } +as_fn_success () { as_fn_return 0; } +as_fn_failure () { as_fn_return 1; } +as_fn_ret_success () { return 0; } +as_fn_ret_failure () { return 1; } + +exitcode=0 +as_fn_success || { exitcode=1; echo as_fn_success failed.; } +as_fn_failure && { exitcode=1; echo as_fn_failure succeeded.; } +as_fn_ret_success || { exitcode=1; echo as_fn_ret_success failed.; } +as_fn_ret_failure && { exitcode=1; echo as_fn_ret_failure succeeded.; } +if ( set x; as_fn_ret_success y && test x = \"\$1\" ); then : + +else + exitcode=1; echo positional parameters were not saved. +fi +test x\$exitcode = x0 || exit 1 +test -x / || exit 1" + as_suggested=" as_lineno_1=";as_suggested=$as_suggested$LINENO;as_suggested=$as_suggested" as_lineno_1a=\$LINENO + as_lineno_2=";as_suggested=$as_suggested$LINENO;as_suggested=$as_suggested" as_lineno_2a=\$LINENO + eval 'test \"x\$as_lineno_1'\$as_run'\" != \"x\$as_lineno_2'\$as_run'\" && + test \"x\`expr \$as_lineno_1'\$as_run' + 1\`\" = \"x\$as_lineno_2'\$as_run'\"' || exit 1 +test \$(( 1 + 1 )) = 2 || exit 1" + if (eval "$as_required") 2>/dev/null; then : + as_have_required=yes +else + as_have_required=no +fi + if test x$as_have_required = xyes && (eval "$as_suggested") 2>/dev/null; then : + +else + as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +as_found=false +for as_dir in /bin$PATH_SEPARATOR/usr/bin$PATH_SEPARATOR$PATH do - if (set +x; test -z "`(eval $as_var=C; export $as_var) 2>&1`"); then - eval $as_var=C; export $as_var + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + as_found=: + case $as_dir in #( + /*) + for as_base in sh bash ksh sh5; do + # Try only shells that exist, to save several forks. + as_shell=$as_dir/$as_base + if { test -f "$as_shell" || test -f "$as_shell.exe"; } && + { $as_echo "$as_bourne_compatible""$as_required" | as_run=a "$as_shell"; } 2>/dev/null; then : + CONFIG_SHELL=$as_shell as_have_required=yes + if { $as_echo "$as_bourne_compatible""$as_suggested" | as_run=a "$as_shell"; } 2>/dev/null; then : + break 2 +fi +fi + done;; + esac + as_found=false +done +$as_found || { if { test -f "$SHELL" || test -f "$SHELL.exe"; } && + { $as_echo "$as_bourne_compatible""$as_required" | as_run=a "$SHELL"; } 2>/dev/null; then : + CONFIG_SHELL=$SHELL as_have_required=yes +fi; } +IFS=$as_save_IFS + + + if test "x$CONFIG_SHELL" != x; then : + export CONFIG_SHELL + # We cannot yet assume a decent shell, so we have to provide a +# neutralization value for shells without unset; and this also +# works around shells that cannot unset nonexistent variables. +# Preserve -v and -x to the replacement shell. +BASH_ENV=/dev/null +ENV=/dev/null +(unset BASH_ENV) >/dev/null 2>&1 && unset BASH_ENV ENV +case $- in # (((( + *v*x* | *x*v* ) as_opts=-vx ;; + *v* ) as_opts=-v ;; + *x* ) as_opts=-x ;; + * ) as_opts= ;; +esac +exec $CONFIG_SHELL $as_opts "$as_myself" ${1+"$@"} +# Admittedly, this is quite paranoid, since all the known shells bail +# out after a failed `exec'. +$as_echo "$0: could not re-execute with $CONFIG_SHELL" >&2 +exit 255 +fi + + if test x$as_have_required = xno; then : + $as_echo "$0: This script requires a shell more modern than all" + $as_echo "$0: the shells that I found on your system." + if test x${ZSH_VERSION+set} = xset ; then + $as_echo "$0: In particular, zsh $ZSH_VERSION has bugs and should" + $as_echo "$0: be upgraded to zsh 4.3.4 or later." else - $as_unset $as_var + $as_echo "$0: Please tell bug-autoconf@gnu.org about your system, +$0: including any error possibly output before this +$0: message. Then install a modern shell, or manually run +$0: the script under such a shell if you do have one." fi -done + exit 1 +fi +fi +fi +SHELL=${CONFIG_SHELL-/bin/sh} +export SHELL +# Unset more variables known to interfere with behavior of common tools. +CLICOLOR_FORCE= GREP_OPTIONS= +unset CLICOLOR_FORCE GREP_OPTIONS + +## --------------------- ## +## M4sh Shell Functions. ## +## --------------------- ## +# as_fn_unset VAR +# --------------- +# Portably unset VAR. +as_fn_unset () +{ + { eval $1=; unset $1;} +} +as_unset=as_fn_unset + +# as_fn_set_status STATUS +# ----------------------- +# Set $? to STATUS, without forking. +as_fn_set_status () +{ + return $1 +} # as_fn_set_status + +# as_fn_exit STATUS +# ----------------- +# Exit the shell with STATUS, even in a "trap 0" or "set -e" context. +as_fn_exit () +{ + set +e + as_fn_set_status $1 + exit $1 +} # as_fn_exit + +# as_fn_mkdir_p +# ------------- +# Create "$as_dir" as a directory, including parents if necessary. +as_fn_mkdir_p () +{ + + case $as_dir in #( + -*) as_dir=./$as_dir;; + esac + test -d "$as_dir" || eval $as_mkdir_p || { + as_dirs= + while :; do + case $as_dir in #( + *\'*) as_qdir=`$as_echo "$as_dir" | sed "s/'/'\\\\\\\\''/g"`;; #'( + *) as_qdir=$as_dir;; + esac + as_dirs="'$as_qdir' $as_dirs" + as_dir=`$as_dirname -- "$as_dir" || +$as_expr X"$as_dir" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ + X"$as_dir" : 'X\(//\)[^/]' \| \ + X"$as_dir" : 'X\(//\)$' \| \ + X"$as_dir" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X"$as_dir" | + sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ + s//\1/ + q + } + /^X\(\/\/\)[^/].*/{ + s//\1/ + q + } + /^X\(\/\/\)$/{ + s//\1/ + q + } + /^X\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` + test -d "$as_dir" && break + done + test -z "$as_dirs" || eval "mkdir $as_dirs" + } || test -d "$as_dir" || as_fn_error $? "cannot create directory $as_dir" + + +} # as_fn_mkdir_p + +# as_fn_executable_p FILE +# ----------------------- +# Test if FILE is an executable regular file. +as_fn_executable_p () +{ + test -f "$1" && test -x "$1" +} # as_fn_executable_p +# as_fn_append VAR VALUE +# ---------------------- +# Append the text in VALUE to the end of the definition contained in VAR. Take +# advantage of any shell optimizations that allow amortized linear growth over +# repeated appends, instead of the typical quadratic growth present in naive +# implementations. +if (eval "as_var=1; as_var+=2; test x\$as_var = x12") 2>/dev/null; then : + eval 'as_fn_append () + { + eval $1+=\$2 + }' +else + as_fn_append () + { + eval $1=\$$1\$2 + } +fi # as_fn_append + +# as_fn_arith ARG... +# ------------------ +# Perform arithmetic evaluation on the ARGs, and store the result in the +# global $as_val. Take advantage of shells that can avoid forks. The arguments +# must be portable across $(()) and expr. +if (eval "test \$(( 1 + 1 )) = 2") 2>/dev/null; then : + eval 'as_fn_arith () + { + as_val=$(( $* )) + }' +else + as_fn_arith () + { + as_val=`expr "$@" || test $? -eq 1` + } +fi # as_fn_arith + + +# as_fn_error STATUS ERROR [LINENO LOG_FD] +# ---------------------------------------- +# Output "`basename $0`: error: ERROR" to stderr. If LINENO and LOG_FD are +# provided, also output the error to LOG_FD, referencing LINENO. Then exit the +# script with STATUS, using 1 if that was 0. +as_fn_error () +{ + as_status=$1; test $as_status -eq 0 && as_status=1 + if test "$4"; then + as_lineno=${as_lineno-"$3"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + $as_echo "$as_me:${as_lineno-$LINENO}: error: $2" >&$4 + fi + $as_echo "$as_me: error: $2" >&2 + as_fn_exit $as_status +} # as_fn_error -# Required to use basename. -if expr a : '\(a\)' >/dev/null 2>&1; then +if expr a : '\(a\)' >/dev/null 2>&1 && + test "X`expr 00001 : '.*\(...\)'`" = X001; then as_expr=expr else as_expr=false fi -if (basename /) >/dev/null 2>&1 && test "X`basename / 2>&1`" = "X/"; then +if (basename -- /) >/dev/null 2>&1 && test "X`basename -- / 2>&1`" = "X/"; then as_basename=basename else as_basename=false fi +if (as_dir=`dirname -- /` && test "X$as_dir" = X/) >/dev/null 2>&1; then + as_dirname=dirname +else + as_dirname=false +fi -# Name of the executable. -as_me=`$as_basename "$0" || +as_me=`$as_basename -- "$0" || $as_expr X/"$0" : '.*/\([^/][^/]*\)/*$' \| \ X"$0" : 'X\(//\)$' \| \ - X"$0" : 'X\(/\)$' \| \ - . : '\(.\)' 2>/dev/null || -echo X/"$0" | - sed '/^.*\/\([^/][^/]*\)\/*$/{ s//\1/; q; } - /^X\/\(\/\/\)$/{ s//\1/; q; } - /^X\/\(\/\).*/{ s//\1/; q; } - s/.*/./; q'` - + X"$0" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X/"$0" | + sed '/^.*\/\([^/][^/]*\)\/*$/{ + s//\1/ + q + } + /^X\/\(\/\/\)$/{ + s//\1/ + q + } + /^X\/\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` -# PATH needs CR, and LINENO needs CR and PATH. # Avoid depending upon Character Ranges. as_cr_letters='abcdefghijklmnopqrstuvwxyz' as_cr_LETTERS='ABCDEFGHIJKLMNOPQRSTUVWXYZ' @@ -83,146 +461,91 @@ as_cr_Letters=$as_cr_letters$as_cr_LETTERS as_cr_digits='0123456789' as_cr_alnum=$as_cr_Letters$as_cr_digits -# The user is always right. -if test "${PATH_SEPARATOR+set}" != set; then - echo "#! /bin/sh" >conf$$.sh - echo "exit 0" >>conf$$.sh - chmod +x conf$$.sh - if (PATH="/nonexistent;."; conf$$.sh) >/dev/null 2>&1; then - PATH_SEPARATOR=';' - else - PATH_SEPARATOR=: - fi - rm -f conf$$.sh -fi - - - as_lineno_1=$LINENO - as_lineno_2=$LINENO - as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null` - test "x$as_lineno_1" != "x$as_lineno_2" && - test "x$as_lineno_3" = "x$as_lineno_2" || { - # Find who we are. Look in the path if we contain no path at all - # relative or not. - case $0 in - *[\\/]* ) as_myself=$0 ;; - *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in $PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break -done - - ;; - esac - # We did not find ourselves, most probably we were run as `sh COMMAND' - # in which case we are not to be found in the path. - if test "x$as_myself" = x; then - as_myself=$0 - fi - if test ! -f "$as_myself"; then - { echo "$as_me: error: cannot find myself; rerun with an absolute path" >&2 - { (exit 1); exit 1; }; } - fi - case $CONFIG_SHELL in - '') - as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in /bin$PATH_SEPARATOR/usr/bin$PATH_SEPARATOR$PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - for as_base in sh bash ksh sh5; do - case $as_dir in - /*) - if ("$as_dir/$as_base" -c ' - as_lineno_1=$LINENO - as_lineno_2=$LINENO - as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null` - test "x$as_lineno_1" != "x$as_lineno_2" && - test "x$as_lineno_3" = "x$as_lineno_2" ') 2>/dev/null; then - $as_unset BASH_ENV || test "${BASH_ENV+set}" != set || { BASH_ENV=; export BASH_ENV; } - $as_unset ENV || test "${ENV+set}" != set || { ENV=; export ENV; } - CONFIG_SHELL=$as_dir/$as_base - export CONFIG_SHELL - exec "$CONFIG_SHELL" "$0" ${1+"$@"} - fi;; - esac - done -done -;; - esac - # Create $as_me.lineno as a copy of $as_myself, but with $LINENO - # uniformly replaced by the line number. The first 'sed' inserts a - # line-number line before each line; the second 'sed' does the real - # work. The second script uses 'N' to pair each line-number line - # with the numbered line, and appends trailing '-' during - # substitution so that $LINENO is not a special case at line end. - # (Raja R Harinath suggested sed '=', and Paul Eggert wrote the - # second 'sed' script. Blame Lee E. McMahon for sed's syntax. :-) - sed '=' <$as_myself | + as_lineno_1=$LINENO as_lineno_1a=$LINENO + as_lineno_2=$LINENO as_lineno_2a=$LINENO + eval 'test "x$as_lineno_1'$as_run'" != "x$as_lineno_2'$as_run'" && + test "x`expr $as_lineno_1'$as_run' + 1`" = "x$as_lineno_2'$as_run'"' || { + # Blame Lee E. McMahon (1931-1989) for sed's syntax. :-) + sed -n ' + p + /[$]LINENO/= + ' <$as_myself | sed ' + s/[$]LINENO.*/&-/ + t lineno + b + :lineno N - s,$,-, - : loop - s,^\(['$as_cr_digits']*\)\(.*\)[$]LINENO\([^'$as_cr_alnum'_]\),\1\2\1\3, + :loop + s/[$]LINENO\([^'$as_cr_alnum'_].*\n\)\(.*\)/\2\1\2/ t loop - s,-$,, - s,^['$as_cr_digits']*\n,, + s/-\n.*// ' >$as_me.lineno && - chmod +x $as_me.lineno || - { echo "$as_me: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&2 - { (exit 1); exit 1; }; } + chmod +x "$as_me.lineno" || + { $as_echo "$as_me: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&2; as_fn_exit 1; } + # If we had to re-execute with $CONFIG_SHELL, we're ensured to have + # already done that, so ensure we don't try to do so again and fall + # in an infinite loop. This has already happened in practice. + _as_can_reexec=no; export _as_can_reexec # Don't try to exec as it changes $[0], causing all sort of problems # (the dirname of $[0] is not the place where we might find the - # original and so on. Autoconf is especially sensible to this). - . ./$as_me.lineno + # original and so on. Autoconf is especially sensitive to this). + . "./$as_me.lineno" # Exit status is that of the last command. exit } - -case `echo "testing\c"; echo 1,2,3`,`echo -n testing; echo 1,2,3` in - *c*,-n*) ECHO_N= ECHO_C=' -' ECHO_T=' ' ;; - *c*,* ) ECHO_N=-n ECHO_C= ECHO_T= ;; - *) ECHO_N= ECHO_C='\c' ECHO_T= ;; +ECHO_C= ECHO_N= ECHO_T= +case `echo -n x` in #((((( +-n*) + case `echo 'xy\c'` in + *c*) ECHO_T=' ';; # ECHO_T is single tab character. + xy) ECHO_C='\c';; + *) echo `echo ksh88 bug on AIX 6.1` > /dev/null + ECHO_T=' ';; + esac;; +*) + ECHO_N='-n';; esac -if expr a : '\(a\)' >/dev/null 2>&1; then - as_expr=expr +rm -f conf$$ conf$$.exe conf$$.file +if test -d conf$$.dir; then + rm -f conf$$.dir/conf$$.file else - as_expr=false + rm -f conf$$.dir + mkdir conf$$.dir 2>/dev/null fi - -rm -f conf$$ conf$$.exe conf$$.file -echo >conf$$.file -if ln -s conf$$.file conf$$ 2>/dev/null; then - # We could just check for DJGPP; but this test a) works b) is more generic - # and c) will remain valid once DJGPP supports symlinks (DJGPP 2.04). - if test -f conf$$.exe; then - # Don't use ln at all; we don't have any links - as_ln_s='cp -p' - else +if (echo >conf$$.file) 2>/dev/null; then + if ln -s conf$$.file conf$$ 2>/dev/null; then as_ln_s='ln -s' + # ... but there are two gotchas: + # 1) On MSYS, both `ln -s file dir' and `ln file dir' fail. + # 2) DJGPP < 2.04 has no symlinks; `ln -s' creates a wrapper executable. + # In both cases, we have to default to `cp -pR'. + ln -s conf$$.file conf$$.dir 2>/dev/null && test ! -f conf$$.exe || + as_ln_s='cp -pR' + elif ln conf$$.file conf$$ 2>/dev/null; then + as_ln_s=ln + else + as_ln_s='cp -pR' fi -elif ln conf$$.file conf$$ 2>/dev/null; then - as_ln_s=ln else - as_ln_s='cp -p' + as_ln_s='cp -pR' fi -rm -f conf$$ conf$$.exe conf$$.file +rm -f conf$$ conf$$.exe conf$$.dir/conf$$.file conf$$.file +rmdir conf$$.dir 2>/dev/null if mkdir -p . 2>/dev/null; then - as_mkdir_p=: + as_mkdir_p='mkdir -p "$as_dir"' else test -d ./-p && rmdir ./-p as_mkdir_p=false fi -as_executable_p="test -f" +as_test_x='test -x' +as_executable_p=as_fn_executable_p # Sed expression to map a string onto a valid CPP name. as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" @@ -231,89 +554,238 @@ as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" as_tr_sh="eval sed 'y%*+%pp%;s%[^_$as_cr_alnum]%_%g'" -# IFS -# We need space, tab and new line, in precisely that order. -as_nl=' -' -IFS=" $as_nl" - -# CDPATH. -$as_unset CDPATH - +test -n "$DJDIR" || exec 7<&0 &1 # Name of the host. -# hostname on some systems (SVR3.2, Linux) returns a bogus exit status, +# hostname on some systems (SVR3.2, old GNU/Linux) returns a bogus exit status, # so uname gets run too. ac_hostname=`(hostname || uname -n) 2>/dev/null | sed 1q` -exec 6>&1 - # # Initializations. # ac_default_prefix=/usr/local +ac_clean_files= ac_config_libobj_dir=. +LIBOBJS= cross_compiling=no subdirs= MFLAGS= MAKEFLAGS= -SHELL=${CONFIG_SHELL-/bin/sh} - -# Maximum number of lines to put in a shell here document. -# This variable seems obsolete. It should probably be removed, and -# only ac_max_sed_lines should be used. -: ${ac_max_here_lines=38} # Identity of this package. PACKAGE_NAME='tcl' PACKAGE_TARNAME='tcl' -PACKAGE_VERSION='8.6' -PACKAGE_STRING='tcl 8.6' +PACKAGE_VERSION='8.7' +PACKAGE_STRING='tcl 8.7' PACKAGE_BUGREPORT='' +PACKAGE_URL='' # Factoring default headers for most tests. ac_includes_default="\ #include -#if HAVE_SYS_TYPES_H +#ifdef HAVE_SYS_TYPES_H # include #endif -#if HAVE_SYS_STAT_H +#ifdef HAVE_SYS_STAT_H # include #endif -#if STDC_HEADERS +#ifdef STDC_HEADERS # include # include #else -# if HAVE_STDLIB_H +# ifdef HAVE_STDLIB_H # include # endif #endif -#if HAVE_STRING_H -# if !STDC_HEADERS && HAVE_MEMORY_H +#ifdef HAVE_STRING_H +# if !defined STDC_HEADERS && defined HAVE_MEMORY_H # include # endif # include #endif -#if HAVE_STRINGS_H +#ifdef HAVE_STRINGS_H # include #endif -#if HAVE_INTTYPES_H +#ifdef HAVE_INTTYPES_H # include -#else -# if HAVE_STDINT_H -# include -# endif #endif -#if HAVE_UNISTD_H +#ifdef HAVE_STDINT_H +# include +#endif +#ifdef HAVE_UNISTD_H # include #endif" -ac_subst_vars='SHELL PATH_SEPARATOR PACKAGE_NAME PACKAGE_TARNAME PACKAGE_VERSION PACKAGE_STRING PACKAGE_BUGREPORT exec_prefix prefix program_transform_name bindir sbindir libexecdir datadir sysconfdir sharedstatedir localstatedir libdir includedir oldincludedir infodir mandir build_alias host_alias target_alias DEFS ECHO_C ECHO_N ECHO_T LIBS MAN_FLAGS CC CFLAGS LDFLAGS CPPFLAGS ac_ct_CC EXEEXT OBJEXT CPP EGREP TCL_THREADS TCLSH_PROG ZLIB_OBJS ZLIB_SRCS ZLIB_INCLUDE RANLIB ac_ct_RANLIB AR ac_ct_AR LIBOBJS TCL_LIBS DL_LIBS DL_OBJS PLAT_OBJS PLAT_SRCS LDAIX_SRC CFLAGS_DEBUG CFLAGS_OPTIMIZE CFLAGS_WARNING LDFLAGS_DEBUG LDFLAGS_OPTIMIZE CC_SEARCH_FLAGS LD_SEARCH_FLAGS STLIB_LD SHLIB_LD TCL_SHLIB_LD_EXTRAS TK_SHLIB_LD_EXTRAS SHLIB_LD_LIBS SHLIB_CFLAGS SHLIB_SUFFIX MAKE_LIB MAKE_STUB_LIB INSTALL_LIB DLL_INSTALL_DIR INSTALL_STUB_LIB CFLAGS_DEFAULT LDFLAGS_DEFAULT DTRACE TCL_VERSION TCL_MAJOR_VERSION TCL_MINOR_VERSION TCL_PATCH_LEVEL TCL_YEAR PKG_CFG_ARGS TCL_LIB_FILE TCL_LIB_FLAG TCL_LIB_SPEC TCL_STUB_LIB_FILE TCL_STUB_LIB_FLAG TCL_STUB_LIB_SPEC TCL_STUB_LIB_PATH TCL_INCLUDE_SPEC TCL_BUILD_STUB_LIB_SPEC TCL_BUILD_STUB_LIB_PATH TCL_SRC_DIR CFG_TCL_SHARED_LIB_SUFFIX CFG_TCL_UNSHARED_LIB_SUFFIX TCL_SHARED_BUILD LD_LIBRARY_PATH_VAR TCL_BUILD_LIB_SPEC TCL_LIB_VERSIONS_OK TCL_SHARED_LIB_SUFFIX TCL_UNSHARED_LIB_SUFFIX TCL_HAS_LONGLONG INSTALL_TZDATA DTRACE_SRC DTRACE_HDR DTRACE_OBJ MAKEFILE_SHELL BUILD_DLTEST TCL_PACKAGE_PATH TCL_MODULE_PATH TCL_LIBRARY PRIVATE_INCLUDE_DIR HTML_DIR PACKAGE_DIR EXTRA_CC_SWITCHES EXTRA_APP_CC_SWITCHES EXTRA_INSTALL EXTRA_INSTALL_BINARIES EXTRA_BUILD_HTML EXTRA_TCLSH_LIBS DLTEST_LD DLTEST_SUFFIX' +ac_subst_vars='DLTEST_SUFFIX +DLTEST_LD +EXTRA_TCLSH_LIBS +EXTRA_BUILD_HTML +EXTRA_INSTALL_BINARIES +EXTRA_INSTALL +EXTRA_APP_CC_SWITCHES +EXTRA_CC_SWITCHES +PACKAGE_DIR +HTML_DIR +PRIVATE_INCLUDE_DIR +TCL_LIBRARY +TCL_MODULE_PATH +TCL_PACKAGE_PATH +BUILD_DLTEST +MAKEFILE_SHELL +DTRACE_OBJ +DTRACE_HDR +DTRACE_SRC +INSTALL_TZDATA +TCL_HAS_LONGLONG +TCL_UNSHARED_LIB_SUFFIX +TCL_SHARED_LIB_SUFFIX +TCL_LIB_VERSIONS_OK +TCL_BUILD_LIB_SPEC +LD_LIBRARY_PATH_VAR +TCL_SHARED_BUILD +CFG_TCL_UNSHARED_LIB_SUFFIX +CFG_TCL_SHARED_LIB_SUFFIX +TCL_SRC_DIR +TCL_BUILD_STUB_LIB_PATH +TCL_BUILD_STUB_LIB_SPEC +TCL_INCLUDE_SPEC +TCL_STUB_LIB_PATH +TCL_STUB_LIB_SPEC +TCL_STUB_LIB_FLAG +TCL_STUB_LIB_FILE +TCL_LIB_SPEC +TCL_LIB_FLAG +TCL_LIB_FILE +PKG_CFG_ARGS +TCL_YEAR +TCL_PATCH_LEVEL +TCL_MINOR_VERSION +TCL_MAJOR_VERSION +TCL_VERSION +DTRACE +LDFLAGS_DEFAULT +CFLAGS_DEFAULT +INSTALL_STUB_LIB +DLL_INSTALL_DIR +INSTALL_LIB +MAKE_STUB_LIB +MAKE_LIB +SHLIB_SUFFIX +SHLIB_CFLAGS +SHLIB_LD_LIBS +TK_SHLIB_LD_EXTRAS +TCL_SHLIB_LD_EXTRAS +SHLIB_LD +STLIB_LD +LD_SEARCH_FLAGS +CC_SEARCH_FLAGS +LDFLAGS_OPTIMIZE +LDFLAGS_DEBUG +CFLAGS_WARNING +CFLAGS_OPTIMIZE +CFLAGS_DEBUG +LDAIX_SRC +PLAT_SRCS +PLAT_OBJS +DL_OBJS +DL_LIBS +TCL_LIBS +LIBOBJS +AR +RANLIB +ZLIB_INCLUDE +ZLIB_SRCS +ZLIB_OBJS +TCLSH_PROG +TCL_THREADS +EGREP +GREP +CPP +OBJEXT +EXEEXT +ac_ct_CC +CPPFLAGS +LDFLAGS +CFLAGS +CC +MAN_FLAGS +target_alias +host_alias +build_alias +LIBS +ECHO_T +ECHO_N +ECHO_C +DEFS +mandir +localedir +libdir +psdir +pdfdir +dvidir +htmldir +infodir +docdir +oldincludedir +includedir +localstatedir +sharedstatedir +sysconfdir +datadir +datarootdir +libexecdir +sbindir +bindir +program_transform_name +prefix +exec_prefix +PACKAGE_URL +PACKAGE_BUGREPORT +PACKAGE_STRING +PACKAGE_VERSION +PACKAGE_TARNAME +PACKAGE_NAME +PATH_SEPARATOR +SHELL' ac_subst_files='' +ac_user_opts=' +enable_option_checking +enable_man_symlinks +enable_man_compression +enable_man_suffix +enable_threads +with_encoding +enable_shared +enable_64bit +enable_64bit_vis +enable_rpath +enable_corefoundation +enable_load +enable_symbols +enable_langinfo +enable_dll_unloading +with_tzdata +enable_dtrace +enable_framework +' + ac_precious_vars='build_alias +host_alias +target_alias +CC +CFLAGS +LDFLAGS +LIBS +CPPFLAGS +CPP' + # Initialize some variables set by options. ac_init_help= ac_init_version=false +ac_unrecognized_opts= +ac_unrecognized_sep= # The variables have the same names as the options, with # dashes changed to underlines. cache_file=/dev/null @@ -336,34 +808,49 @@ x_libraries=NONE # and all the variables that are supposed to be based on exec_prefix # by default will actually change. # Use braces instead of parens because sh, perl, etc. also accept them. +# (The list follows the same order as the GNU Coding Standards.) bindir='${exec_prefix}/bin' sbindir='${exec_prefix}/sbin' libexecdir='${exec_prefix}/libexec' -datadir='${prefix}/share' +datarootdir='${prefix}/share' +datadir='${datarootdir}' sysconfdir='${prefix}/etc' sharedstatedir='${prefix}/com' localstatedir='${prefix}/var' -libdir='${exec_prefix}/lib' includedir='${prefix}/include' oldincludedir='/usr/include' -infodir='${prefix}/info' -mandir='${prefix}/man' +docdir='${datarootdir}/doc/${PACKAGE_TARNAME}' +infodir='${datarootdir}/info' +htmldir='${docdir}' +dvidir='${docdir}' +pdfdir='${docdir}' +psdir='${docdir}' +libdir='${exec_prefix}/lib' +localedir='${datarootdir}/locale' +mandir='${datarootdir}/man' ac_prev= +ac_dashdash= for ac_option do # If the previous option needs an argument, assign it. if test -n "$ac_prev"; then - eval "$ac_prev=\$ac_option" + eval $ac_prev=\$ac_option ac_prev= continue fi - ac_optarg=`expr "x$ac_option" : 'x[^=]*=\(.*\)'` + case $ac_option in + *=?*) ac_optarg=`expr "X$ac_option" : '[^=]*=\(.*\)'` ;; + *=) ac_optarg= ;; + *) ac_optarg=yes ;; + esac # Accept the important Cygnus configure options, so we can diagnose typos. - case $ac_option in + case $ac_dashdash$ac_option in + --) + ac_dashdash=yes ;; -bindir | --bindir | --bindi | --bind | --bin | --bi) ac_prev=bindir ;; @@ -385,33 +872,59 @@ do --config-cache | -C) cache_file=config.cache ;; - -datadir | --datadir | --datadi | --datad | --data | --dat | --da) + -datadir | --datadir | --datadi | --datad) ac_prev=datadir ;; - -datadir=* | --datadir=* | --datadi=* | --datad=* | --data=* | --dat=* \ - | --da=*) + -datadir=* | --datadir=* | --datadi=* | --datad=*) datadir=$ac_optarg ;; + -datarootdir | --datarootdir | --datarootdi | --datarootd | --dataroot \ + | --dataroo | --dataro | --datar) + ac_prev=datarootdir ;; + -datarootdir=* | --datarootdir=* | --datarootdi=* | --datarootd=* \ + | --dataroot=* | --dataroo=* | --dataro=* | --datar=*) + datarootdir=$ac_optarg ;; + -disable-* | --disable-*) - ac_feature=`expr "x$ac_option" : 'x-*disable-\(.*\)'` + ac_useropt=`expr "x$ac_option" : 'x-*disable-\(.*\)'` # Reject names that are not valid shell variable names. - expr "x$ac_feature" : ".*[^-_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid feature name: $ac_feature" >&2 - { (exit 1); exit 1; }; } - ac_feature=`echo $ac_feature | sed 's/-/_/g'` - eval "enable_$ac_feature=no" ;; + expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null && + as_fn_error $? "invalid feature name: $ac_useropt" + ac_useropt_orig=$ac_useropt + ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'` + case $ac_user_opts in + *" +"enable_$ac_useropt" +"*) ;; + *) ac_unrecognized_opts="$ac_unrecognized_opts$ac_unrecognized_sep--disable-$ac_useropt_orig" + ac_unrecognized_sep=', ';; + esac + eval enable_$ac_useropt=no ;; + + -docdir | --docdir | --docdi | --doc | --do) + ac_prev=docdir ;; + -docdir=* | --docdir=* | --docdi=* | --doc=* | --do=*) + docdir=$ac_optarg ;; + + -dvidir | --dvidir | --dvidi | --dvid | --dvi | --dv) + ac_prev=dvidir ;; + -dvidir=* | --dvidir=* | --dvidi=* | --dvid=* | --dvi=* | --dv=*) + dvidir=$ac_optarg ;; -enable-* | --enable-*) - ac_feature=`expr "x$ac_option" : 'x-*enable-\([^=]*\)'` + ac_useropt=`expr "x$ac_option" : 'x-*enable-\([^=]*\)'` # Reject names that are not valid shell variable names. - expr "x$ac_feature" : ".*[^-_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid feature name: $ac_feature" >&2 - { (exit 1); exit 1; }; } - ac_feature=`echo $ac_feature | sed 's/-/_/g'` - case $ac_option in - *=*) ac_optarg=`echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"`;; - *) ac_optarg=yes ;; + expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null && + as_fn_error $? "invalid feature name: $ac_useropt" + ac_useropt_orig=$ac_useropt + ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'` + case $ac_user_opts in + *" +"enable_$ac_useropt" +"*) ;; + *) ac_unrecognized_opts="$ac_unrecognized_opts$ac_unrecognized_sep--enable-$ac_useropt_orig" + ac_unrecognized_sep=', ';; esac - eval "enable_$ac_feature='$ac_optarg'" ;; + eval enable_$ac_useropt=\$ac_optarg ;; -exec-prefix | --exec_prefix | --exec-prefix | --exec-prefi \ | --exec-pref | --exec-pre | --exec-pr | --exec-p | --exec- \ @@ -438,6 +951,12 @@ do -host=* | --host=* | --hos=* | --ho=*) host_alias=$ac_optarg ;; + -htmldir | --htmldir | --htmldi | --htmld | --html | --htm | --ht) + ac_prev=htmldir ;; + -htmldir=* | --htmldir=* | --htmldi=* | --htmld=* | --html=* | --htm=* \ + | --ht=*) + htmldir=$ac_optarg ;; + -includedir | --includedir | --includedi | --included | --include \ | --includ | --inclu | --incl | --inc) ac_prev=includedir ;; @@ -462,13 +981,16 @@ do | --libexe=* | --libex=* | --libe=*) libexecdir=$ac_optarg ;; + -localedir | --localedir | --localedi | --localed | --locale) + ac_prev=localedir ;; + -localedir=* | --localedir=* | --localedi=* | --localed=* | --locale=*) + localedir=$ac_optarg ;; + -localstatedir | --localstatedir | --localstatedi | --localstated \ - | --localstate | --localstat | --localsta | --localst \ - | --locals | --local | --loca | --loc | --lo) + | --localstate | --localstat | --localsta | --localst | --locals) ac_prev=localstatedir ;; -localstatedir=* | --localstatedir=* | --localstatedi=* | --localstated=* \ - | --localstate=* | --localstat=* | --localsta=* | --localst=* \ - | --locals=* | --local=* | --loca=* | --loc=* | --lo=*) + | --localstate=* | --localstat=* | --localsta=* | --localst=* | --locals=*) localstatedir=$ac_optarg ;; -mandir | --mandir | --mandi | --mand | --man | --ma | --m) @@ -533,6 +1055,16 @@ do | --progr-tra=* | --program-tr=* | --program-t=*) program_transform_name=$ac_optarg ;; + -pdfdir | --pdfdir | --pdfdi | --pdfd | --pdf | --pd) + ac_prev=pdfdir ;; + -pdfdir=* | --pdfdir=* | --pdfdi=* | --pdfd=* | --pdf=* | --pd=*) + pdfdir=$ac_optarg ;; + + -psdir | --psdir | --psdi | --psd | --ps) + ac_prev=psdir ;; + -psdir=* | --psdir=* | --psdi=* | --psd=* | --ps=*) + psdir=$ac_optarg ;; + -q | -quiet | --quiet | --quie | --qui | --qu | --q \ | -silent | --silent | --silen | --sile | --sil) silent=yes ;; @@ -583,26 +1115,36 @@ do ac_init_version=: ;; -with-* | --with-*) - ac_package=`expr "x$ac_option" : 'x-*with-\([^=]*\)'` + ac_useropt=`expr "x$ac_option" : 'x-*with-\([^=]*\)'` # Reject names that are not valid shell variable names. - expr "x$ac_package" : ".*[^-_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid package name: $ac_package" >&2 - { (exit 1); exit 1; }; } - ac_package=`echo $ac_package| sed 's/-/_/g'` - case $ac_option in - *=*) ac_optarg=`echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"`;; - *) ac_optarg=yes ;; + expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null && + as_fn_error $? "invalid package name: $ac_useropt" + ac_useropt_orig=$ac_useropt + ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'` + case $ac_user_opts in + *" +"with_$ac_useropt" +"*) ;; + *) ac_unrecognized_opts="$ac_unrecognized_opts$ac_unrecognized_sep--with-$ac_useropt_orig" + ac_unrecognized_sep=', ';; esac - eval "with_$ac_package='$ac_optarg'" ;; + eval with_$ac_useropt=\$ac_optarg ;; -without-* | --without-*) - ac_package=`expr "x$ac_option" : 'x-*without-\(.*\)'` + ac_useropt=`expr "x$ac_option" : 'x-*without-\(.*\)'` # Reject names that are not valid shell variable names. - expr "x$ac_package" : ".*[^-_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid package name: $ac_package" >&2 - { (exit 1); exit 1; }; } - ac_package=`echo $ac_package | sed 's/-/_/g'` - eval "with_$ac_package=no" ;; + expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null && + as_fn_error $? "invalid package name: $ac_useropt" + ac_useropt_orig=$ac_useropt + ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'` + case $ac_user_opts in + *" +"with_$ac_useropt" +"*) ;; + *) ac_unrecognized_opts="$ac_unrecognized_opts$ac_unrecognized_sep--without-$ac_useropt_orig" + ac_unrecognized_sep=', ';; + esac + eval with_$ac_useropt=no ;; --x) # Obsolete; use --with-x. @@ -622,27 +1164,26 @@ do | --x-librar=* | --x-libra=* | --x-libr=* | --x-lib=* | --x-li=* | --x-l=*) x_libraries=$ac_optarg ;; - -*) { echo "$as_me: error: unrecognized option: $ac_option -Try \`$0 --help' for more information." >&2 - { (exit 1); exit 1; }; } + -*) as_fn_error $? "unrecognized option: \`$ac_option' +Try \`$0 --help' for more information" ;; *=*) ac_envvar=`expr "x$ac_option" : 'x\([^=]*\)='` # Reject names that are not valid shell variable names. - expr "x$ac_envvar" : ".*[^_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid variable name: $ac_envvar" >&2 - { (exit 1); exit 1; }; } - ac_optarg=`echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"` - eval "$ac_envvar='$ac_optarg'" + case $ac_envvar in #( + '' | [0-9]* | *[!_$as_cr_alnum]* ) + as_fn_error $? "invalid variable name: \`$ac_envvar'" ;; + esac + eval $ac_envvar=\$ac_optarg export $ac_envvar ;; *) # FIXME: should be removed in autoconf 3.0. - echo "$as_me: WARNING: you should use --build, --host, --target" >&2 + $as_echo "$as_me: WARNING: you should use --build, --host, --target" >&2 expr "x$ac_option" : ".*[^-._$as_cr_alnum]" >/dev/null && - echo "$as_me: WARNING: invalid host type: $ac_option" >&2 - : ${build_alias=$ac_option} ${host_alias=$ac_option} ${target_alias=$ac_option} + $as_echo "$as_me: WARNING: invalid host type: $ac_option" >&2 + : "${build_alias=$ac_option} ${host_alias=$ac_option} ${target_alias=$ac_option}" ;; esac @@ -650,31 +1191,36 @@ done if test -n "$ac_prev"; then ac_option=--`echo $ac_prev | sed 's/_/-/g'` - { echo "$as_me: error: missing argument to $ac_option" >&2 - { (exit 1); exit 1; }; } + as_fn_error $? "missing argument to $ac_option" fi -# Be sure to have absolute paths. -for ac_var in exec_prefix prefix -do - eval ac_val=$`echo $ac_var` - case $ac_val in - [\\/$]* | ?:[\\/]* | NONE | '' ) ;; - *) { echo "$as_me: error: expected an absolute directory name for --$ac_var: $ac_val" >&2 - { (exit 1); exit 1; }; };; +if test -n "$ac_unrecognized_opts"; then + case $enable_option_checking in + no) ;; + fatal) as_fn_error $? "unrecognized options: $ac_unrecognized_opts" ;; + *) $as_echo "$as_me: WARNING: unrecognized options: $ac_unrecognized_opts" >&2 ;; esac -done +fi -# Be sure to have absolute paths. -for ac_var in bindir sbindir libexecdir datadir sysconfdir sharedstatedir \ - localstatedir libdir includedir oldincludedir infodir mandir +# Check all directory arguments for consistency. +for ac_var in exec_prefix prefix bindir sbindir libexecdir datarootdir \ + datadir sysconfdir sharedstatedir localstatedir includedir \ + oldincludedir docdir infodir htmldir dvidir pdfdir psdir \ + libdir localedir mandir do - eval ac_val=$`echo $ac_var` + eval ac_val=\$$ac_var + # Remove trailing slashes. + case $ac_val in + */ ) + ac_val=`expr "X$ac_val" : 'X\(.*[^/]\)' \| "X$ac_val" : 'X\(.*\)'` + eval $ac_var=\$ac_val;; + esac + # Be sure to have absolute directory names. case $ac_val in - [\\/$]* | ?:[\\/]* ) ;; - *) { echo "$as_me: error: expected an absolute directory name for --$ac_var: $ac_val" >&2 - { (exit 1); exit 1; }; };; + [\\/$]* | ?:[\\/]* ) continue;; + NONE | '' ) case $ac_var in *prefix ) continue;; esac;; esac + as_fn_error $? "expected an absolute directory name for --$ac_var: $ac_val" done # There might be people who depend on the old broken behavior: `$host' @@ -688,8 +1234,6 @@ target=$target_alias if test "x$host_alias" != x; then if test "x$build_alias" = x; then cross_compiling=maybe - echo "$as_me: WARNING: If you wanted to set the --build type, don't use --host. - If a cross compiler is detected then cross compile mode will be used." >&2 elif test "x$build_alias" != "x$host_alias"; then cross_compiling=yes fi @@ -701,74 +1245,72 @@ test -n "$host_alias" && ac_tool_prefix=$host_alias- test "$silent" = yes && exec 6>/dev/null +ac_pwd=`pwd` && test -n "$ac_pwd" && +ac_ls_di=`ls -di .` && +ac_pwd_ls_di=`cd "$ac_pwd" && ls -di .` || + as_fn_error $? "working directory cannot be determined" +test "X$ac_ls_di" = "X$ac_pwd_ls_di" || + as_fn_error $? "pwd does not report name of working directory" + + # Find the source files, if location was not specified. if test -z "$srcdir"; then ac_srcdir_defaulted=yes - # Try the directory containing this script, then its parent. - ac_confdir=`(dirname "$0") 2>/dev/null || -$as_expr X"$0" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ - X"$0" : 'X\(//\)[^/]' \| \ - X"$0" : 'X\(//\)$' \| \ - X"$0" : 'X\(/\)' \| \ - . : '\(.\)' 2>/dev/null || -echo X"$0" | - sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ s//\1/; q; } - /^X\(\/\/\)[^/].*/{ s//\1/; q; } - /^X\(\/\/\)$/{ s//\1/; q; } - /^X\(\/\).*/{ s//\1/; q; } - s/.*/./; q'` + # Try the directory containing this script, then the parent directory. + ac_confdir=`$as_dirname -- "$as_myself" || +$as_expr X"$as_myself" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ + X"$as_myself" : 'X\(//\)[^/]' \| \ + X"$as_myself" : 'X\(//\)$' \| \ + X"$as_myself" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X"$as_myself" | + sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ + s//\1/ + q + } + /^X\(\/\/\)[^/].*/{ + s//\1/ + q + } + /^X\(\/\/\)$/{ + s//\1/ + q + } + /^X\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` srcdir=$ac_confdir - if test ! -r $srcdir/$ac_unique_file; then + if test ! -r "$srcdir/$ac_unique_file"; then srcdir=.. fi else ac_srcdir_defaulted=no fi -if test ! -r $srcdir/$ac_unique_file; then - if test "$ac_srcdir_defaulted" = yes; then - { echo "$as_me: error: cannot find sources ($ac_unique_file) in $ac_confdir or .." >&2 - { (exit 1); exit 1; }; } - else - { echo "$as_me: error: cannot find sources ($ac_unique_file) in $srcdir" >&2 - { (exit 1); exit 1; }; } - fi -fi -(cd $srcdir && test -r ./$ac_unique_file) 2>/dev/null || - { echo "$as_me: error: sources are in $srcdir, but \`cd $srcdir' does not work" >&2 - { (exit 1); exit 1; }; } -srcdir=`echo "$srcdir" | sed 's%\([^\\/]\)[\\/]*$%\1%'` -ac_env_build_alias_set=${build_alias+set} -ac_env_build_alias_value=$build_alias -ac_cv_env_build_alias_set=${build_alias+set} -ac_cv_env_build_alias_value=$build_alias -ac_env_host_alias_set=${host_alias+set} -ac_env_host_alias_value=$host_alias -ac_cv_env_host_alias_set=${host_alias+set} -ac_cv_env_host_alias_value=$host_alias -ac_env_target_alias_set=${target_alias+set} -ac_env_target_alias_value=$target_alias -ac_cv_env_target_alias_set=${target_alias+set} -ac_cv_env_target_alias_value=$target_alias -ac_env_CC_set=${CC+set} -ac_env_CC_value=$CC -ac_cv_env_CC_set=${CC+set} -ac_cv_env_CC_value=$CC -ac_env_CFLAGS_set=${CFLAGS+set} -ac_env_CFLAGS_value=$CFLAGS -ac_cv_env_CFLAGS_set=${CFLAGS+set} -ac_cv_env_CFLAGS_value=$CFLAGS -ac_env_LDFLAGS_set=${LDFLAGS+set} -ac_env_LDFLAGS_value=$LDFLAGS -ac_cv_env_LDFLAGS_set=${LDFLAGS+set} -ac_cv_env_LDFLAGS_value=$LDFLAGS -ac_env_CPPFLAGS_set=${CPPFLAGS+set} -ac_env_CPPFLAGS_value=$CPPFLAGS -ac_cv_env_CPPFLAGS_set=${CPPFLAGS+set} -ac_cv_env_CPPFLAGS_value=$CPPFLAGS -ac_env_CPP_set=${CPP+set} -ac_env_CPP_value=$CPP -ac_cv_env_CPP_set=${CPP+set} -ac_cv_env_CPP_value=$CPP +if test ! -r "$srcdir/$ac_unique_file"; then + test "$ac_srcdir_defaulted" = yes && srcdir="$ac_confdir or .." + as_fn_error $? "cannot find sources ($ac_unique_file) in $srcdir" +fi +ac_msg="sources are in $srcdir, but \`cd $srcdir' does not work" +ac_abs_confdir=`( + cd "$srcdir" && test -r "./$ac_unique_file" || as_fn_error $? "$ac_msg" + pwd)` +# When building in place, set srcdir=. +if test "$ac_abs_confdir" = "$ac_pwd"; then + srcdir=. +fi +# Remove unnecessary trailing slashes from srcdir. +# Double slashes in file names in object file debugging info +# mess up M-x gdb in Emacs. +case $srcdir in +*/) srcdir=`expr "X$srcdir" : 'X\(.*[^/]\)' \| "X$srcdir" : 'X\(.*\)'`;; +esac +for ac_var in $ac_precious_vars; do + eval ac_env_${ac_var}_set=\${${ac_var}+set} + eval ac_env_${ac_var}_value=\$${ac_var} + eval ac_cv_env_${ac_var}_set=\${${ac_var}+set} + eval ac_cv_env_${ac_var}_value=\$${ac_var} +done # # Report the --help message. @@ -777,7 +1319,7 @@ if test "$ac_init_help" = "long"; then # Omit some internal or obsolete options to make the list less imposing. # This message is too long to be a string in the A/UX 3.1 sh. cat <<_ACEOF -\`configure' configures tcl 8.6 to adapt to many kinds of systems. +\`configure' configures tcl 8.7 to adapt to many kinds of systems. Usage: $0 [OPTION]... [VAR=VALUE]... @@ -791,20 +1333,17 @@ Configuration: --help=short display options specific to this package --help=recursive display the short help of all the included packages -V, --version display version information and exit - -q, --quiet, --silent do not print \`checking...' messages + -q, --quiet, --silent do not print \`checking ...' messages --cache-file=FILE cache test results in FILE [disabled] -C, --config-cache alias for \`--cache-file=config.cache' -n, --no-create do not create output files --srcdir=DIR find the sources in DIR [configure dir or \`..'] -_ACEOF - - cat <<_ACEOF Installation directories: --prefix=PREFIX install architecture-independent files in PREFIX - [$ac_default_prefix] + [$ac_default_prefix] --exec-prefix=EPREFIX install architecture-dependent files in EPREFIX - [PREFIX] + [PREFIX] By default, \`make install' will install all the files in \`$ac_default_prefix/bin', \`$ac_default_prefix/lib' etc. You can specify @@ -814,18 +1353,25 @@ for instance \`--prefix=\$HOME'. For better control, use the options below. Fine tuning of the installation directories: - --bindir=DIR user executables [EPREFIX/bin] - --sbindir=DIR system admin executables [EPREFIX/sbin] - --libexecdir=DIR program executables [EPREFIX/libexec] - --datadir=DIR read-only architecture-independent data [PREFIX/share] - --sysconfdir=DIR read-only single-machine data [PREFIX/etc] - --sharedstatedir=DIR modifiable architecture-independent data [PREFIX/com] - --localstatedir=DIR modifiable single-machine data [PREFIX/var] - --libdir=DIR object code libraries [EPREFIX/lib] - --includedir=DIR C header files [PREFIX/include] - --oldincludedir=DIR C header files for non-gcc [/usr/include] - --infodir=DIR info documentation [PREFIX/info] - --mandir=DIR man documentation [PREFIX/man] + --bindir=DIR user executables [EPREFIX/bin] + --sbindir=DIR system admin executables [EPREFIX/sbin] + --libexecdir=DIR program executables [EPREFIX/libexec] + --sysconfdir=DIR read-only single-machine data [PREFIX/etc] + --sharedstatedir=DIR modifiable architecture-independent data [PREFIX/com] + --localstatedir=DIR modifiable single-machine data [PREFIX/var] + --libdir=DIR object code libraries [EPREFIX/lib] + --includedir=DIR C header files [PREFIX/include] + --oldincludedir=DIR C header files for non-gcc [/usr/include] + --datarootdir=DIR read-only arch.-independent data root [PREFIX/share] + --datadir=DIR read-only architecture-independent data [DATAROOTDIR] + --infodir=DIR info documentation [DATAROOTDIR/info] + --localedir=DIR locale-dependent data [DATAROOTDIR/locale] + --mandir=DIR man documentation [DATAROOTDIR/man] + --docdir=DIR documentation root [DATAROOTDIR/doc/tcl] + --htmldir=DIR html documentation [DOCDIR] + --dvidir=DIR dvi documentation [DOCDIR] + --pdfdir=DIR pdf documentation [DOCDIR] + --psdir=DIR ps documentation [DOCDIR] _ACEOF cat <<\_ACEOF @@ -834,11 +1380,12 @@ fi if test -n "$ac_init_help"; then case $ac_init_help in - short | recursive ) echo "Configuration of tcl 8.6:";; + short | recursive ) echo "Configuration of tcl 8.7:";; esac cat <<\_ACEOF Optional Features: + --disable-option-checking ignore unrecognized --enable/--with options --disable-FEATURE do not include FEATURE (same as --enable-FEATURE=no) --enable-FEATURE[=ARG] include FEATURE [ARG=yes] --enable-man-symlinks use symlinks for the manpages (default: off) @@ -876,162 +1423,595 @@ Some influential environment variables: CFLAGS C compiler flags LDFLAGS linker flags, e.g. -L if you have libraries in a nonstandard directory - CPPFLAGS C/C++ preprocessor flags, e.g. -I if you have - headers in a nonstandard directory + LIBS libraries to pass to the linker, e.g. -l + CPPFLAGS (Objective) C/C++ preprocessor flags, e.g. -I if + you have headers in a nonstandard directory CPP C preprocessor Use these variables to override the choices made by `configure' or to help it to find libraries and programs with nonstandard names/locations. +Report bugs to the package provider. _ACEOF +ac_status=$? fi if test "$ac_init_help" = "recursive"; then # If there are subdirs, report their specific --help. - ac_popdir=`pwd` for ac_dir in : $ac_subdirs_all; do test "x$ac_dir" = x: && continue - test -d $ac_dir || continue + test -d "$ac_dir" || + { cd "$srcdir" && ac_pwd=`pwd` && srcdir=. && test -d "$ac_dir"; } || + continue ac_builddir=. -if test "$ac_dir" != .; then - ac_dir_suffix=/`echo "$ac_dir" | sed 's,^\.[\\/],,'` - # A "../" for each directory in $ac_dir_suffix. - ac_top_builddir=`echo "$ac_dir_suffix" | sed 's,/[^\\/]*,../,g'` -else - ac_dir_suffix= ac_top_builddir= -fi +case "$ac_dir" in +.) ac_dir_suffix= ac_top_builddir_sub=. ac_top_build_prefix= ;; +*) + ac_dir_suffix=/`$as_echo "$ac_dir" | sed 's|^\.[\\/]||'` + # A ".." for each directory in $ac_dir_suffix. + ac_top_builddir_sub=`$as_echo "$ac_dir_suffix" | sed 's|/[^\\/]*|/..|g;s|/||'` + case $ac_top_builddir_sub in + "") ac_top_builddir_sub=. ac_top_build_prefix= ;; + *) ac_top_build_prefix=$ac_top_builddir_sub/ ;; + esac ;; +esac +ac_abs_top_builddir=$ac_pwd +ac_abs_builddir=$ac_pwd$ac_dir_suffix +# for backward compatibility: +ac_top_builddir=$ac_top_build_prefix case $srcdir in - .) # No --srcdir option. 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We do this before executing the actions. + rm -rf conftest.dSYM conftest_ipa8_conftest.oo + eval $as_lineno_stack; ${as_lineno_stack:+:} unset as_lineno + as_fn_set_status $ac_retval + +} # ac_fn_c_try_link + +# ac_fn_c_try_cpp LINENO +# ---------------------- +# Try to preprocess conftest.$ac_ext, and return whether this succeeded. +ac_fn_c_try_cpp () +{ + as_lineno=${as_lineno-"$1"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + if { { ac_try="$ac_cpp conftest.$ac_ext" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_cpp conftest.$ac_ext") 2>conftest.err + ac_status=$? + if test -s conftest.err; then + grep -v '^ *+' conftest.err >conftest.er1 + cat conftest.er1 >&5 + mv -f conftest.er1 conftest.err + fi + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } > conftest.i && { + test -z "$ac_c_preproc_warn_flag$ac_c_werror_flag" || + test ! -s conftest.err + }; then : + ac_retval=0 +else + $as_echo "$as_me: failed program was:" >&5 +sed 's/^/| /' conftest.$ac_ext >&5 -as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in $PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - echo "PATH: $as_dir" -done + ac_retval=1 +fi + eval $as_lineno_stack; ${as_lineno_stack:+:} unset as_lineno + as_fn_set_status $ac_retval -} >&5 +} # ac_fn_c_try_cpp + +# ac_fn_c_check_header_mongrel LINENO HEADER VAR INCLUDES +# ------------------------------------------------------- +# Tests whether HEADER exists, giving a warning if it cannot be compiled using +# the include files in INCLUDES and setting the cache variable VAR +# accordingly. +ac_fn_c_check_header_mongrel () +{ + as_lineno=${as_lineno-"$1"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + if eval \${$3+:} false; then : + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $2" >&5 +$as_echo_n "checking for $2... " >&6; } +if eval \${$3+:} false; then : + $as_echo_n "(cached) " >&6 +fi +eval ac_res=\$$3 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_res" >&5 +$as_echo "$ac_res" >&6; } +else + # Is the header compilable? +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking $2 usability" >&5 +$as_echo_n "checking $2 usability... " >&6; } +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +$4 +#include <$2> +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + ac_header_compiler=yes +else + ac_header_compiler=no +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_header_compiler" >&5 +$as_echo "$ac_header_compiler" >&6; } + +# Is the header present? +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking $2 presence" >&5 +$as_echo_n "checking $2 presence... " >&6; } +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <$2> +_ACEOF +if ac_fn_c_try_cpp "$LINENO"; then : + ac_header_preproc=yes +else + ac_header_preproc=no +fi +rm -f conftest.err conftest.i conftest.$ac_ext +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_header_preproc" >&5 +$as_echo "$ac_header_preproc" >&6; } + +# So? What about this header? +case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in #(( + yes:no: ) + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: $2: accepted by the compiler, rejected by the preprocessor!" >&5 +$as_echo "$as_me: WARNING: $2: accepted by the compiler, rejected by the preprocessor!" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: $2: proceeding with the compiler's result" >&5 +$as_echo "$as_me: WARNING: $2: proceeding with the compiler's result" >&2;} + ;; + no:yes:* ) + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: $2: present but cannot be compiled" >&5 +$as_echo "$as_me: WARNING: $2: present but cannot be compiled" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: $2: check for missing prerequisite headers?" >&5 +$as_echo "$as_me: WARNING: $2: check for missing prerequisite headers?" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: $2: see the Autoconf documentation" >&5 +$as_echo "$as_me: WARNING: $2: see the Autoconf documentation" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: $2: section \"Present But Cannot Be Compiled\"" >&5 +$as_echo "$as_me: WARNING: $2: section \"Present But Cannot Be Compiled\"" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: $2: proceeding with the compiler's result" >&5 +$as_echo "$as_me: WARNING: $2: proceeding with the compiler's result" >&2;} + ;; +esac + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $2" >&5 +$as_echo_n "checking for $2... " >&6; } +if eval \${$3+:} false; then : + $as_echo_n "(cached) " >&6 +else + eval "$3=\$ac_header_compiler" +fi +eval ac_res=\$$3 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_res" >&5 +$as_echo "$ac_res" >&6; } +fi + eval $as_lineno_stack; ${as_lineno_stack:+:} unset as_lineno + +} # ac_fn_c_check_header_mongrel + +# ac_fn_c_try_run LINENO +# ---------------------- +# Try to link conftest.$ac_ext, and return whether this succeeded. Assumes +# that executables *can* be run. +ac_fn_c_try_run () +{ + as_lineno=${as_lineno-"$1"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + if { { ac_try="$ac_link" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_link") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } && { ac_try='./conftest$ac_exeext' + { { case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_try") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; }; then : + ac_retval=0 +else + $as_echo "$as_me: program exited with status $ac_status" >&5 + $as_echo "$as_me: failed program was:" >&5 +sed 's/^/| /' conftest.$ac_ext >&5 + + ac_retval=$ac_status +fi + rm -rf conftest.dSYM conftest_ipa8_conftest.oo + eval $as_lineno_stack; ${as_lineno_stack:+:} unset as_lineno + as_fn_set_status $ac_retval + +} # ac_fn_c_try_run + +# ac_fn_c_check_header_compile LINENO HEADER VAR INCLUDES +# ------------------------------------------------------- +# Tests whether HEADER exists and can be compiled using the include files in +# INCLUDES, setting the cache variable VAR accordingly. +ac_fn_c_check_header_compile () +{ + as_lineno=${as_lineno-"$1"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $2" >&5 +$as_echo_n "checking for $2... " >&6; } +if eval \${$3+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +$4 +#include <$2> +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + eval "$3=yes" +else + eval "$3=no" +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +eval ac_res=\$$3 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_res" >&5 +$as_echo "$ac_res" >&6; } + eval $as_lineno_stack; ${as_lineno_stack:+:} unset as_lineno + +} # ac_fn_c_check_header_compile + +# ac_fn_c_check_func LINENO FUNC VAR +# ---------------------------------- +# Tests whether FUNC exists, setting the cache variable VAR accordingly +ac_fn_c_check_func () +{ + as_lineno=${as_lineno-"$1"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $2" >&5 +$as_echo_n "checking for $2... " >&6; } +if eval \${$3+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +/* Define $2 to an innocuous variant, in case declares $2. + For example, HP-UX 11i declares gettimeofday. */ +#define $2 innocuous_$2 + +/* System header to define __stub macros and hopefully few prototypes, + which can conflict with char $2 (); below. + Prefer to if __STDC__ is defined, since + exists even on freestanding compilers. */ + +#ifdef __STDC__ +# include +#else +# include +#endif + +#undef $2 + +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ +#ifdef __cplusplus +extern "C" +#endif +char $2 (); +/* The GNU C library defines this for functions which it implements + to always fail with ENOSYS. Some functions are actually named + something starting with __ and the normal name is an alias. */ +#if defined __stub_$2 || defined __stub___$2 +choke me +#endif + +int +main () +{ +return $2 (); + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "$LINENO"; then : + eval "$3=yes" +else + eval "$3=no" +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +fi +eval ac_res=\$$3 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_res" >&5 +$as_echo "$ac_res" >&6; } + eval $as_lineno_stack; ${as_lineno_stack:+:} unset as_lineno + +} # ac_fn_c_check_func + +# ac_fn_c_check_type LINENO TYPE VAR INCLUDES +# ------------------------------------------- +# Tests whether TYPE exists after having included INCLUDES, setting cache +# variable VAR accordingly. +ac_fn_c_check_type () +{ + as_lineno=${as_lineno-"$1"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $2" >&5 +$as_echo_n "checking for $2... " >&6; } +if eval \${$3+:} false; then : + $as_echo_n "(cached) " >&6 +else + eval "$3=no" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +$4 +int +main () +{ +if (sizeof ($2)) + return 0; + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +$4 +int +main () +{ +if (sizeof (($2))) + return 0; + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + +else + eval "$3=yes" +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +eval ac_res=\$$3 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_res" >&5 +$as_echo "$ac_res" >&6; } + eval $as_lineno_stack; ${as_lineno_stack:+:} unset as_lineno + +} # ac_fn_c_check_type + +# ac_fn_c_check_member LINENO AGGR MEMBER VAR INCLUDES +# ---------------------------------------------------- +# Tries to find if the field MEMBER exists in type AGGR, after including +# INCLUDES, setting cache variable VAR accordingly. +ac_fn_c_check_member () +{ + as_lineno=${as_lineno-"$1"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $2.$3" >&5 +$as_echo_n "checking for $2.$3... " >&6; } +if eval \${$4+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +$5 +int +main () +{ +static $2 ac_aggr; +if (ac_aggr.$3) +return 0; + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + eval "$4=yes" +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +$5 +int +main () +{ +static $2 ac_aggr; +if (sizeof ac_aggr.$3) +return 0; + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + eval "$4=yes" +else + eval "$4=no" +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +eval ac_res=\$$4 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_res" >&5 +$as_echo "$ac_res" >&6; } + eval $as_lineno_stack; ${as_lineno_stack:+:} unset as_lineno + +} # ac_fn_c_check_member +cat >config.log <<_ACEOF +This file contains any messages produced by compilers while +running configure, to aid debugging if configure makes a mistake. + +It was created by tcl $as_me 8.7, which was +generated by GNU Autoconf 2.69. Invocation command line was + + $ $0 $@ + +_ACEOF +exec 5>>config.log +{ +cat <<_ASUNAME +## --------- ## +## Platform. ## +## --------- ## + +hostname = `(hostname || uname -n) 2>/dev/null | sed 1q` +uname -m = `(uname -m) 2>/dev/null || echo unknown` +uname -r = `(uname -r) 2>/dev/null || echo unknown` +uname -s = `(uname -s) 2>/dev/null || echo unknown` +uname -v = `(uname -v) 2>/dev/null || echo unknown` + +/usr/bin/uname -p = `(/usr/bin/uname -p) 2>/dev/null || echo unknown` +/bin/uname -X = `(/bin/uname -X) 2>/dev/null || echo unknown` + +/bin/arch = `(/bin/arch) 2>/dev/null || echo unknown` +/usr/bin/arch -k = `(/usr/bin/arch -k) 2>/dev/null || echo unknown` +/usr/convex/getsysinfo = `(/usr/convex/getsysinfo) 2>/dev/null || echo unknown` +/usr/bin/hostinfo = `(/usr/bin/hostinfo) 2>/dev/null || echo unknown` +/bin/machine = `(/bin/machine) 2>/dev/null || echo unknown` +/usr/bin/oslevel = `(/usr/bin/oslevel) 2>/dev/null || echo unknown` +/bin/universe = `(/bin/universe) 2>/dev/null || echo unknown` + +_ASUNAME + +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + $as_echo "PATH: $as_dir" + done +IFS=$as_save_IFS + +} >&5 cat >&5 <<_ACEOF @@ -1051,7 +2031,6 @@ _ACEOF ac_configure_args= ac_configure_args0= ac_configure_args1= -ac_sep= ac_must_keep_next=false for ac_pass in 1 2 do @@ -1062,13 +2041,13 @@ do -q | -quiet | --quiet | --quie | --qui | --qu | --q \ | -silent | --silent | --silen | --sile | --sil) continue ;; - *" "*|*" "*|*[\[\]\~\#\$\^\&\*\(\)\{\}\\\|\;\<\>\?\"\']*) - ac_arg=`echo "$ac_arg" | sed "s/'/'\\\\\\\\''/g"` ;; + *\'*) + ac_arg=`$as_echo "$ac_arg" | sed "s/'/'\\\\\\\\''/g"` ;; esac case $ac_pass in - 1) ac_configure_args0="$ac_configure_args0 '$ac_arg'" ;; + 1) as_fn_append ac_configure_args0 " '$ac_arg'" ;; 2) - ac_configure_args1="$ac_configure_args1 '$ac_arg'" + as_fn_append ac_configure_args1 " '$ac_arg'" if test $ac_must_keep_next = true; then ac_must_keep_next=false # Got value, back to normal. else @@ -1084,104 +2063,115 @@ do -* ) ac_must_keep_next=true ;; esac fi - ac_configure_args="$ac_configure_args$ac_sep'$ac_arg'" - # Get rid of the leading space. - ac_sep=" " + as_fn_append ac_configure_args " '$ac_arg'" ;; esac done done -$as_unset ac_configure_args0 || test "${ac_configure_args0+set}" != set || { ac_configure_args0=; export ac_configure_args0; } -$as_unset ac_configure_args1 || test "${ac_configure_args1+set}" != set || { ac_configure_args1=; export ac_configure_args1; } +{ ac_configure_args0=; unset ac_configure_args0;} +{ ac_configure_args1=; unset ac_configure_args1;} # When interrupted or exit'd, cleanup temporary files, and complete # config.log. We remove comments because anyway the quotes in there # would cause problems or look ugly. -# WARNING: Be sure not to use single quotes in there, as some shells, -# such as our DU 5.0 friend, will then `close' the trap. +# WARNING: Use '\'' to represent an apostrophe within the trap. +# WARNING: Do not start the trap code with a newline, due to a FreeBSD 4.0 bug. trap 'exit_status=$? # Save into config.log some information that might help in debugging. { echo - cat <<\_ASBOX -## ---------------- ## + $as_echo "## ---------------- ## ## Cache variables. ## -## ---------------- ## -_ASBOX +## ---------------- ##" echo # The following way of writing the cache mishandles newlines in values, -{ +( + for ac_var in `(set) 2>&1 | sed -n '\''s/^\([a-zA-Z_][a-zA-Z0-9_]*\)=.*/\1/p'\''`; do + eval ac_val=\$$ac_var + case $ac_val in #( + *${as_nl}*) + case $ac_var in #( + *_cv_*) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: cache variable $ac_var contains a newline" >&5 +$as_echo "$as_me: WARNING: cache variable $ac_var contains a newline" >&2;} ;; + esac + case $ac_var in #( + _ | IFS | as_nl) ;; #( + BASH_ARGV | BASH_SOURCE) eval $ac_var= ;; #( + *) { eval $ac_var=; unset $ac_var;} ;; + esac ;; + esac + done (set) 2>&1 | - case `(ac_space='"'"' '"'"'; set | grep ac_space) 2>&1` in - *ac_space=\ *) + case $as_nl`(ac_space='\'' '\''; set) 2>&1` in #( + *${as_nl}ac_space=\ *) sed -n \ - "s/'"'"'/'"'"'\\\\'"'"''"'"'/g; - s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1='"'"'\\2'"'"'/p" - ;; + "s/'\''/'\''\\\\'\'''\''/g; + s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1='\''\\2'\''/p" + ;; #( *) - sed -n \ - "s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1=\\2/p" + sed -n "/^[_$as_cr_alnum]*_cv_[_$as_cr_alnum]*=/p" ;; - esac; -} + esac | + sort +) echo - cat <<\_ASBOX -## ----------------- ## + $as_echo "## ----------------- ## ## Output variables. ## -## ----------------- ## -_ASBOX +## ----------------- ##" echo for ac_var in $ac_subst_vars do - eval ac_val=$`echo $ac_var` - echo "$ac_var='"'"'$ac_val'"'"'" + eval ac_val=\$$ac_var + case $ac_val in + *\'\''*) ac_val=`$as_echo "$ac_val" | sed "s/'\''/'\''\\\\\\\\'\'''\''/g"`;; + esac + $as_echo "$ac_var='\''$ac_val'\''" done | sort echo if test -n "$ac_subst_files"; then - cat <<\_ASBOX -## ------------- ## -## Output files. ## -## ------------- ## -_ASBOX + $as_echo "## ------------------- ## +## File substitutions. ## +## ------------------- ##" echo for ac_var in $ac_subst_files do - eval ac_val=$`echo $ac_var` - echo "$ac_var='"'"'$ac_val'"'"'" + eval ac_val=\$$ac_var + case $ac_val in + *\'\''*) ac_val=`$as_echo "$ac_val" | sed "s/'\''/'\''\\\\\\\\'\'''\''/g"`;; + esac + $as_echo "$ac_var='\''$ac_val'\''" done | sort echo fi if test -s confdefs.h; then - cat <<\_ASBOX -## ----------- ## + $as_echo "## ----------- ## ## confdefs.h. ## -## ----------- ## -_ASBOX +## ----------- ##" echo - sed "/^$/d" confdefs.h | sort + cat confdefs.h echo fi test "$ac_signal" != 0 && - echo "$as_me: caught signal $ac_signal" - echo "$as_me: exit $exit_status" + $as_echo "$as_me: caught signal $ac_signal" + $as_echo "$as_me: exit $exit_status" } >&5 - rm -f core *.core && - rm -rf conftest* confdefs* conf$$* $ac_clean_files && + rm -f core *.core core.conftest.* && + rm -f -r conftest* confdefs* conf$$* $ac_clean_files && exit $exit_status - ' 0 +' 0 for ac_signal in 1 2 13 15; do - trap 'ac_signal='$ac_signal'; { (exit 1); exit 1; }' $ac_signal + trap 'ac_signal='$ac_signal'; as_fn_exit 1' $ac_signal done ac_signal=0 # confdefs.h avoids OS command line length limits that DEFS can exceed. -rm -rf conftest* confdefs.h -# AIX cpp loses on an empty file, so make sure it contains at least a newline. -echo >confdefs.h +rm -f -r conftest* confdefs.h + +$as_echo "/* confdefs.h */" > confdefs.h # Predefined preprocessor variables. @@ -1189,112 +2179,137 @@ cat >>confdefs.h <<_ACEOF #define PACKAGE_NAME "$PACKAGE_NAME" _ACEOF - cat >>confdefs.h <<_ACEOF #define PACKAGE_TARNAME "$PACKAGE_TARNAME" _ACEOF - cat >>confdefs.h <<_ACEOF #define PACKAGE_VERSION "$PACKAGE_VERSION" _ACEOF - cat >>confdefs.h <<_ACEOF #define PACKAGE_STRING "$PACKAGE_STRING" _ACEOF - cat >>confdefs.h <<_ACEOF #define PACKAGE_BUGREPORT "$PACKAGE_BUGREPORT" _ACEOF +cat >>confdefs.h <<_ACEOF +#define PACKAGE_URL "$PACKAGE_URL" +_ACEOF + # Let the site file select an alternate cache file if it wants to. -# Prefer explicitly selected file to automatically selected ones. -if test -z "$CONFIG_SITE"; then - if test "x$prefix" != xNONE; then - CONFIG_SITE="$prefix/share/config.site $prefix/etc/config.site" - else - CONFIG_SITE="$ac_default_prefix/share/config.site $ac_default_prefix/etc/config.site" - fi +# Prefer an explicitly selected file to automatically selected ones. +ac_site_file1=NONE +ac_site_file2=NONE +if test -n "$CONFIG_SITE"; then + # We do not want a PATH search for config.site. + case $CONFIG_SITE in #(( + -*) ac_site_file1=./$CONFIG_SITE;; + */*) ac_site_file1=$CONFIG_SITE;; + *) ac_site_file1=./$CONFIG_SITE;; + esac +elif test "x$prefix" != xNONE; then + ac_site_file1=$prefix/share/config.site + ac_site_file2=$prefix/etc/config.site +else + ac_site_file1=$ac_default_prefix/share/config.site + ac_site_file2=$ac_default_prefix/etc/config.site fi -for ac_site_file in $CONFIG_SITE; do - if test -r "$ac_site_file"; then - { echo "$as_me:$LINENO: loading site script $ac_site_file" >&5 -echo "$as_me: loading site script $ac_site_file" >&6;} +for ac_site_file in "$ac_site_file1" "$ac_site_file2" +do + test "x$ac_site_file" = xNONE && continue + if test /dev/null != "$ac_site_file" && test -r "$ac_site_file"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: loading site script $ac_site_file" >&5 +$as_echo "$as_me: loading site script $ac_site_file" >&6;} sed 's/^/| /' "$ac_site_file" >&5 - . "$ac_site_file" + . "$ac_site_file" \ + || { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "failed to load site script $ac_site_file +See \`config.log' for more details" "$LINENO" 5; } fi done if test -r "$cache_file"; then - # Some versions of bash will fail to source /dev/null (special - # files actually), so we avoid doing that. - if test -f "$cache_file"; then - { echo "$as_me:$LINENO: loading cache $cache_file" >&5 -echo "$as_me: loading cache $cache_file" >&6;} + # Some versions of bash will fail to source /dev/null (special files + # actually), so we avoid doing that. DJGPP emulates it as a regular file. + if test /dev/null != "$cache_file" && test -f "$cache_file"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: loading cache $cache_file" >&5 +$as_echo "$as_me: loading cache $cache_file" >&6;} case $cache_file in - [\\/]* | ?:[\\/]* ) . $cache_file;; - *) . ./$cache_file;; + [\\/]* | ?:[\\/]* ) . "$cache_file";; + *) . "./$cache_file";; esac fi else - { echo "$as_me:$LINENO: creating cache $cache_file" >&5 -echo "$as_me: creating cache $cache_file" >&6;} + { $as_echo "$as_me:${as_lineno-$LINENO}: creating cache $cache_file" >&5 +$as_echo "$as_me: creating cache $cache_file" >&6;} >$cache_file fi # Check that the precious variables saved in the cache have kept the same # value. ac_cache_corrupted=false -for ac_var in `(set) 2>&1 | - sed -n 's/^ac_env_\([a-zA-Z_0-9]*\)_set=.*/\1/p'`; do +for ac_var in $ac_precious_vars; do eval ac_old_set=\$ac_cv_env_${ac_var}_set eval ac_new_set=\$ac_env_${ac_var}_set - eval ac_old_val="\$ac_cv_env_${ac_var}_value" - eval ac_new_val="\$ac_env_${ac_var}_value" + eval ac_old_val=\$ac_cv_env_${ac_var}_value + eval ac_new_val=\$ac_env_${ac_var}_value case $ac_old_set,$ac_new_set in set,) - { echo "$as_me:$LINENO: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&5 -echo "$as_me: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&5 +$as_echo "$as_me: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&2;} ac_cache_corrupted=: ;; ,set) - { echo "$as_me:$LINENO: error: \`$ac_var' was not set in the previous run" >&5 -echo "$as_me: error: \`$ac_var' was not set in the previous run" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: error: \`$ac_var' was not set in the previous run" >&5 +$as_echo "$as_me: error: \`$ac_var' was not set in the previous run" >&2;} ac_cache_corrupted=: ;; ,);; *) if test "x$ac_old_val" != "x$ac_new_val"; then - { echo "$as_me:$LINENO: error: \`$ac_var' has changed since the previous run:" >&5 -echo "$as_me: error: \`$ac_var' has changed since the previous run:" >&2;} - { echo "$as_me:$LINENO: former value: $ac_old_val" >&5 -echo "$as_me: former value: $ac_old_val" >&2;} - { echo "$as_me:$LINENO: current value: $ac_new_val" >&5 -echo "$as_me: current value: $ac_new_val" >&2;} - ac_cache_corrupted=: + # differences in whitespace do not lead to failure. + ac_old_val_w=`echo x $ac_old_val` + ac_new_val_w=`echo x $ac_new_val` + if test "$ac_old_val_w" != "$ac_new_val_w"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: error: \`$ac_var' has changed since the previous run:" >&5 +$as_echo "$as_me: error: \`$ac_var' has changed since the previous run:" >&2;} + ac_cache_corrupted=: + else + { $as_echo "$as_me:${as_lineno-$LINENO}: warning: ignoring whitespace changes in \`$ac_var' since the previous run:" >&5 +$as_echo "$as_me: warning: ignoring whitespace changes in \`$ac_var' since the previous run:" >&2;} + eval $ac_var=\$ac_old_val + fi + { $as_echo "$as_me:${as_lineno-$LINENO}: former value: \`$ac_old_val'" >&5 +$as_echo "$as_me: former value: \`$ac_old_val'" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: current value: \`$ac_new_val'" >&5 +$as_echo "$as_me: current value: \`$ac_new_val'" >&2;} fi;; esac # Pass precious variables to config.status. if test "$ac_new_set" = set; then case $ac_new_val in - *" "*|*" "*|*[\[\]\~\#\$\^\&\*\(\)\{\}\\\|\;\<\>\?\"\']*) - ac_arg=$ac_var=`echo "$ac_new_val" | sed "s/'/'\\\\\\\\''/g"` ;; + *\'*) ac_arg=$ac_var=`$as_echo "$ac_new_val" | sed "s/'/'\\\\\\\\''/g"` ;; *) ac_arg=$ac_var=$ac_new_val ;; esac case " $ac_configure_args " in *" '$ac_arg' "*) ;; # Avoid dups. Use of quotes ensures accuracy. - *) ac_configure_args="$ac_configure_args '$ac_arg'" ;; + *) as_fn_append ac_configure_args " '$ac_arg'" ;; esac fi done if $ac_cache_corrupted; then - { echo "$as_me:$LINENO: error: changes in the environment can compromise the build" >&5 -echo "$as_me: error: changes in the environment can compromise the build" >&2;} - { { echo "$as_me:$LINENO: error: run \`make distclean' and/or \`rm $cache_file' and start over" >&5 -echo "$as_me: error: run \`make distclean' and/or \`rm $cache_file' and start over" >&2;} - { (exit 1); exit 1; }; } + { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: error: changes in the environment can compromise the build" >&5 +$as_echo "$as_me: error: changes in the environment can compromise the build" >&2;} + as_fn_error $? "run \`make distclean' and/or \`rm $cache_file' and start over" "$LINENO" 5 fi +## -------------------- ## +## Main body of script. ## +## -------------------- ## ac_ext=c ac_cpp='$CPP $CPPFLAGS' @@ -1307,35 +2322,10 @@ ac_compiler_gnu=$ac_cv_c_compiler_gnu - - - - - - - - - - - - - - - - - - - - - - - - - -TCL_VERSION=8.6 +TCL_VERSION=8.7 TCL_MAJOR_VERSION=8 -TCL_MINOR_VERSION=6 -TCL_PATCH_LEVEL=".5" +TCL_MINOR_VERSION=7 +TCL_PATCH_LEVEL="a0" VERSION=${TCL_VERSION} EXTRA_INSTALL_BINARIES=${EXTRA_INSTALL_BINARIES:-"@:"} @@ -1382,62 +2372,60 @@ TCL_SRC_DIR="`cd "$srcdir"/..; pwd`" #------------------------------------------------------------------------ - echo "$as_me:$LINENO: checking whether to use symlinks for manpages" >&5 -echo $ECHO_N "checking whether to use symlinks for manpages... $ECHO_C" >&6 - # Check whether --enable-man-symlinks or --disable-man-symlinks was given. -if test "${enable_man_symlinks+set}" = set; then - enableval="$enable_man_symlinks" - test "$enableval" != "no" && MAN_FLAGS="$MAN_FLAGS --symlinks" + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether to use symlinks for manpages" >&5 +$as_echo_n "checking whether to use symlinks for manpages... " >&6; } + # Check whether --enable-man-symlinks was given. +if test "${enable_man_symlinks+set}" = set; then : + enableval=$enable_man_symlinks; test "$enableval" != "no" && MAN_FLAGS="$MAN_FLAGS --symlinks" else enableval="no" -fi; - echo "$as_me:$LINENO: result: $enableval" >&5 -echo "${ECHO_T}$enableval" >&6 - - echo "$as_me:$LINENO: checking whether to compress the manpages" >&5 -echo $ECHO_N "checking whether to compress the manpages... $ECHO_C" >&6 - # Check whether --enable-man-compression or --disable-man-compression was given. -if test "${enable_man_compression+set}" = set; then - enableval="$enable_man_compression" - case $enableval in - yes) { { echo "$as_me:$LINENO: error: missing argument to --enable-man-compression" >&5 -echo "$as_me: error: missing argument to --enable-man-compression" >&2;} - { (exit 1); exit 1; }; };; +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $enableval" >&5 +$as_echo "$enableval" >&6; } + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether to compress the manpages" >&5 +$as_echo_n "checking whether to compress the manpages... " >&6; } + # Check whether --enable-man-compression was given. +if test "${enable_man_compression+set}" = set; then : + enableval=$enable_man_compression; case $enableval in + yes) as_fn_error $? "missing argument to --enable-man-compression" "$LINENO" 5;; no) ;; *) MAN_FLAGS="$MAN_FLAGS --compress $enableval";; esac else enableval="no" -fi; - echo "$as_me:$LINENO: result: $enableval" >&5 -echo "${ECHO_T}$enableval" >&6 +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $enableval" >&5 +$as_echo "$enableval" >&6; } if test "$enableval" != "no"; then - echo "$as_me:$LINENO: checking for compressed file suffix" >&5 -echo $ECHO_N "checking for compressed file suffix... $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for compressed file suffix" >&5 +$as_echo_n "checking for compressed file suffix... " >&6; } touch TeST $enableval TeST Z=`ls TeST* | sed 's/^....//'` rm -f TeST* MAN_FLAGS="$MAN_FLAGS --extension $Z" - echo "$as_me:$LINENO: result: $Z" >&5 -echo "${ECHO_T}$Z" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $Z" >&5 +$as_echo "$Z" >&6; } fi - echo "$as_me:$LINENO: checking whether to add a package name suffix for the manpages" >&5 -echo $ECHO_N "checking whether to add a package name suffix for the manpages... $ECHO_C" >&6 - # Check whether --enable-man-suffix or --disable-man-suffix was given. -if test "${enable_man_suffix+set}" = set; then - enableval="$enable_man_suffix" - case $enableval in + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether to add a package name suffix for the manpages" >&5 +$as_echo_n "checking whether to add a package name suffix for the manpages... " >&6; } + # Check whether --enable-man-suffix was given. +if test "${enable_man_suffix+set}" = set; then : + enableval=$enable_man_suffix; case $enableval in yes) enableval="tcl" MAN_FLAGS="$MAN_FLAGS --suffix $enableval";; no) ;; *) MAN_FLAGS="$MAN_FLAGS --suffix $enableval";; esac else enableval="no" -fi; - echo "$as_me:$LINENO: result: $enableval" >&5 -echo "${ECHO_T}$enableval" >&6 +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $enableval" >&5 +$as_echo "$enableval" >&6; } @@ -1460,10 +2448,10 @@ ac_compiler_gnu=$ac_cv_c_compiler_gnu if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}gcc", so it can be a program name with args. set dummy ${ac_tool_prefix}gcc; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_CC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$CC"; then ac_cv_prog_CC="$CC" # Let the user override the test. @@ -1473,35 +2461,37 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_CC="${ac_tool_prefix}gcc" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi CC=$ac_cv_prog_CC if test -n "$CC"; then - echo "$as_me:$LINENO: result: $CC" >&5 -echo "${ECHO_T}$CC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CC" >&5 +$as_echo "$CC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + fi if test -z "$ac_cv_prog_CC"; then ac_ct_CC=$CC # Extract the first word of "gcc", so it can be a program name with args. set dummy gcc; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_ac_ct_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_CC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_CC"; then ac_cv_prog_ac_ct_CC="$ac_ct_CC" # Let the user override the test. @@ -1511,39 +2501,50 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_CC="gcc" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi ac_ct_CC=$ac_cv_prog_ac_ct_CC if test -n "$ac_ct_CC"; then - echo "$as_me:$LINENO: result: $ac_ct_CC" >&5 -echo "${ECHO_T}$ac_ct_CC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_CC" >&5 +$as_echo "$ac_ct_CC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi - CC=$ac_ct_CC + if test "x$ac_ct_CC" = x; then + CC="" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + CC=$ac_ct_CC + fi else CC="$ac_cv_prog_CC" fi if test -z "$CC"; then - if test -n "$ac_tool_prefix"; then - # Extract the first word of "${ac_tool_prefix}cc", so it can be a program name with args. + if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}cc", so it can be a program name with args. set dummy ${ac_tool_prefix}cc; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_CC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$CC"; then ac_cv_prog_CC="$CC" # Let the user override the test. @@ -1553,77 +2554,37 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_CC="${ac_tool_prefix}cc" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi CC=$ac_cv_prog_CC if test -n "$CC"; then - echo "$as_me:$LINENO: result: $CC" >&5 -echo "${ECHO_T}$CC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CC" >&5 +$as_echo "$CC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + + fi fi -if test -z "$ac_cv_prog_CC"; then - ac_ct_CC=$CC +if test -z "$CC"; then # Extract the first word of "cc", so it can be a program name with args. set dummy cc; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_ac_ct_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - if test -n "$ac_ct_CC"; then - ac_cv_prog_ac_ct_CC="$ac_ct_CC" # Let the user override the test. -else -as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in $PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then - ac_cv_prog_ac_ct_CC="cc" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 - break 2 - fi -done -done - -fi -fi -ac_ct_CC=$ac_cv_prog_ac_ct_CC -if test -n "$ac_ct_CC"; then - echo "$as_me:$LINENO: result: $ac_ct_CC" >&5 -echo "${ECHO_T}$ac_ct_CC" >&6 -else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 -fi - - CC=$ac_ct_CC -else - CC="$ac_cv_prog_CC" -fi - -fi -if test -z "$CC"; then - # Extract the first word of "cc", so it can be a program name with args. -set dummy cc; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_CC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$CC"; then ac_cv_prog_CC="$CC" # Let the user override the test. @@ -1634,18 +2595,19 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then if test "$as_dir/$ac_word$ac_exec_ext" = "/usr/ucb/cc"; then ac_prog_rejected=yes continue fi ac_cv_prog_CC="cc" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS if test $ac_prog_rejected = yes; then # We found a bogon in the path, so make sure we never use it. @@ -1663,24 +2625,25 @@ fi fi CC=$ac_cv_prog_CC if test -n "$CC"; then - echo "$as_me:$LINENO: result: $CC" >&5 -echo "${ECHO_T}$CC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CC" >&5 +$as_echo "$CC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + fi if test -z "$CC"; then if test -n "$ac_tool_prefix"; then - for ac_prog in cl + for ac_prog in cl.exe do # Extract the first word of "$ac_tool_prefix$ac_prog", so it can be a program name with args. set dummy $ac_tool_prefix$ac_prog; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_CC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$CC"; then ac_cv_prog_CC="$CC" # Let the user override the test. @@ -1690,39 +2653,41 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_CC="$ac_tool_prefix$ac_prog" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi CC=$ac_cv_prog_CC if test -n "$CC"; then - echo "$as_me:$LINENO: result: $CC" >&5 -echo "${ECHO_T}$CC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CC" >&5 +$as_echo "$CC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + test -n "$CC" && break done fi if test -z "$CC"; then ac_ct_CC=$CC - for ac_prog in cl + for ac_prog in cl.exe do # Extract the first word of "$ac_prog", so it can be a program name with args. set dummy $ac_prog; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_ac_ct_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_CC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_CC"; then ac_cv_prog_ac_ct_CC="$ac_ct_CC" # Let the user override the test. @@ -1732,66 +2697,78 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_CC="$ac_prog" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi ac_ct_CC=$ac_cv_prog_ac_ct_CC if test -n "$ac_ct_CC"; then - echo "$as_me:$LINENO: result: $ac_ct_CC" >&5 -echo "${ECHO_T}$ac_ct_CC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_CC" >&5 +$as_echo "$ac_ct_CC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + test -n "$ac_ct_CC" && break done - CC=$ac_ct_CC + if test "x$ac_ct_CC" = x; then + CC="" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + CC=$ac_ct_CC + fi fi fi -test -z "$CC" && { { echo "$as_me:$LINENO: error: no acceptable C compiler found in \$PATH -See \`config.log' for more details." >&5 -echo "$as_me: error: no acceptable C compiler found in \$PATH -See \`config.log' for more details." >&2;} - { (exit 1); exit 1; }; } +test -z "$CC" && { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "no acceptable C compiler found in \$PATH +See \`config.log' for more details" "$LINENO" 5; } # Provide some information about the compiler. -echo "$as_me:$LINENO:" \ - "checking for C compiler version" >&5 -ac_compiler=`set X $ac_compile; echo $2` -{ (eval echo "$as_me:$LINENO: \"$ac_compiler --version &5\"") >&5 - (eval $ac_compiler --version &5) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } -{ (eval echo "$as_me:$LINENO: \"$ac_compiler -v &5\"") >&5 - (eval $ac_compiler -v &5) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } -{ (eval echo "$as_me:$LINENO: \"$ac_compiler -V &5\"") >&5 - (eval $ac_compiler -V &5) 2>&5 +$as_echo "$as_me:${as_lineno-$LINENO}: checking for C compiler version" >&5 +set X $ac_compile +ac_compiler=$2 +for ac_option in --version -v -V -qversion; do + { { ac_try="$ac_compiler $ac_option >&5" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_compiler $ac_option >&5") 2>conftest.err ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } + if test -s conftest.err; then + sed '10a\ +... rest of stderr output deleted ... + 10q' conftest.err >conftest.er1 + cat conftest.er1 >&5 + fi + rm -f conftest.er1 conftest.err + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } +done -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -1803,112 +2780,108 @@ main () } _ACEOF ac_clean_files_save=$ac_clean_files -ac_clean_files="$ac_clean_files a.out a.exe b.out" +ac_clean_files="$ac_clean_files a.out a.out.dSYM a.exe b.out" # Try to create an executable without -o first, disregard a.out. # It will help us diagnose broken compilers, and finding out an intuition # of exeext. -echo "$as_me:$LINENO: checking for C compiler default output file name" >&5 -echo $ECHO_N "checking for C compiler default output file name... $ECHO_C" >&6 -ac_link_default=`echo "$ac_link" | sed 's/ -o *conftest[^ ]*//'` -if { (eval echo "$as_me:$LINENO: \"$ac_link_default\"") >&5 - (eval $ac_link_default) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; then - # Find the output, starting from the most likely. This scheme is -# not robust to junk in `.', hence go to wildcards (a.*) only as a last -# resort. - -# Be careful to initialize this variable, since it used to be cached. -# Otherwise an old cache value of `no' led to `EXEEXT = no' in a Makefile. -ac_cv_exeext= -# b.out is created by i960 compilers. -for ac_file in a_out.exe a.exe conftest.exe a.out conftest a.* conftest.* b.out +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether the C compiler works" >&5 +$as_echo_n "checking whether the C compiler works... " >&6; } +ac_link_default=`$as_echo "$ac_link" | sed 's/ -o *conftest[^ ]*//'` + +# The possible output files: +ac_files="a.out conftest.exe conftest a.exe a_out.exe b.out conftest.*" + +ac_rmfiles= +for ac_file in $ac_files +do + case $ac_file in + *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.map | *.inf | *.dSYM | *.o | *.obj ) ;; + * ) ac_rmfiles="$ac_rmfiles $ac_file";; + esac +done +rm -f $ac_rmfiles + +if { { ac_try="$ac_link_default" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_link_default") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then : + # Autoconf-2.13 could set the ac_cv_exeext variable to `no'. +# So ignore a value of `no', otherwise this would lead to `EXEEXT = no' +# in a Makefile. We should not override ac_cv_exeext if it was cached, +# so that the user can short-circuit this test for compilers unknown to +# Autoconf. +for ac_file in $ac_files '' do test -f "$ac_file" || continue case $ac_file in - *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.o | *.obj ) - ;; - conftest.$ac_ext ) - # This is the source file. + *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.map | *.inf | *.dSYM | *.o | *.obj ) ;; [ab].out ) # We found the default executable, but exeext='' is most # certainly right. break;; *.* ) - ac_cv_exeext=`expr "$ac_file" : '[^.]*\(\..*\)'` - # FIXME: I believe we export ac_cv_exeext for Libtool, - # but it would be cool to find out if it's true. Does anybody - # maintain Libtool? --akim. - export ac_cv_exeext + if test "${ac_cv_exeext+set}" = set && test "$ac_cv_exeext" != no; + then :; else + ac_cv_exeext=`expr "$ac_file" : '[^.]*\(\..*\)'` + fi + # We set ac_cv_exeext here because the later test for it is not + # safe: cross compilers may not add the suffix if given an `-o' + # argument, so we may need to know it at that point already. + # Even if this section looks crufty: it has the advantage of + # actually working. break;; * ) break;; esac done +test "$ac_cv_exeext" = no && ac_cv_exeext= + else - echo "$as_me: failed program was:" >&5 + ac_file='' +fi +if test -z "$ac_file"; then : + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +$as_echo "$as_me: failed program was:" >&5 sed 's/^/| /' conftest.$ac_ext >&5 -{ { echo "$as_me:$LINENO: error: C compiler cannot create executables -See \`config.log' for more details." >&5 -echo "$as_me: error: C compiler cannot create executables -See \`config.log' for more details." >&2;} - { (exit 77); exit 77; }; } +{ { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error 77 "C compiler cannot create executables +See \`config.log' for more details" "$LINENO" 5; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes" >&5 +$as_echo "yes" >&6; } fi - +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for C compiler default output file name" >&5 +$as_echo_n "checking for C compiler default output file name... " >&6; } +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_file" >&5 +$as_echo "$ac_file" >&6; } ac_exeext=$ac_cv_exeext -echo "$as_me:$LINENO: result: $ac_file" >&5 -echo "${ECHO_T}$ac_file" >&6 - -# Check the compiler produces executables we can run. If not, either -# the compiler is broken, or we cross compile. -echo "$as_me:$LINENO: checking whether the C compiler works" >&5 -echo $ECHO_N "checking whether the C compiler works... $ECHO_C" >&6 -# FIXME: These cross compiler hacks should be removed for Autoconf 3.0 -# If not cross compiling, check that we can run a simple program. -if test "$cross_compiling" != yes; then - if { ac_try='./$ac_file' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - cross_compiling=no - else - if test "$cross_compiling" = maybe; then - cross_compiling=yes - else - { { echo "$as_me:$LINENO: error: cannot run C compiled programs. -If you meant to cross compile, use \`--host'. -See \`config.log' for more details." >&5 -echo "$as_me: error: cannot run C compiled programs. -If you meant to cross compile, use \`--host'. -See \`config.log' for more details." >&2;} - { (exit 1); exit 1; }; } - fi - fi -fi -echo "$as_me:$LINENO: result: yes" >&5 -echo "${ECHO_T}yes" >&6 -rm -f a.out a.exe conftest$ac_cv_exeext b.out +rm -f -r a.out a.out.dSYM a.exe conftest$ac_cv_exeext b.out ac_clean_files=$ac_clean_files_save -# Check the compiler produces executables we can run. If not, either -# the compiler is broken, or we cross compile. -echo "$as_me:$LINENO: checking whether we are cross compiling" >&5 -echo $ECHO_N "checking whether we are cross compiling... $ECHO_C" >&6 -echo "$as_me:$LINENO: result: $cross_compiling" >&5 -echo "${ECHO_T}$cross_compiling" >&6 - -echo "$as_me:$LINENO: checking for suffix of executables" >&5 -echo $ECHO_N "checking for suffix of executables... $ECHO_C" >&6 -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>&5 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for suffix of executables" >&5 +$as_echo_n "checking for suffix of executables... " >&6; } +if { { ac_try="$ac_link" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_link") 2>&5 ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; then + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then : # If both `conftest.exe' and `conftest' are `present' (well, observable) # catch `conftest.exe'. For instance with Cygwin, `ls conftest' will # work properly (i.e., refer to `conftest.exe'), while it won't with @@ -1916,38 +2889,90 @@ if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 for ac_file in conftest.exe conftest conftest.*; do test -f "$ac_file" || continue case $ac_file in - *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.o | *.obj ) ;; + *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.map | *.inf | *.dSYM | *.o | *.obj ) ;; *.* ) ac_cv_exeext=`expr "$ac_file" : '[^.]*\(\..*\)'` - export ac_cv_exeext break;; * ) break;; esac done else - { { echo "$as_me:$LINENO: error: cannot compute suffix of executables: cannot compile and link -See \`config.log' for more details." >&5 -echo "$as_me: error: cannot compute suffix of executables: cannot compile and link -See \`config.log' for more details." >&2;} - { (exit 1); exit 1; }; } + { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "cannot compute suffix of executables: cannot compile and link +See \`config.log' for more details" "$LINENO" 5; } fi - -rm -f conftest$ac_cv_exeext -echo "$as_me:$LINENO: result: $ac_cv_exeext" >&5 -echo "${ECHO_T}$ac_cv_exeext" >&6 +rm -f conftest conftest$ac_cv_exeext +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_exeext" >&5 +$as_echo "$ac_cv_exeext" >&6; } rm -f conftest.$ac_ext EXEEXT=$ac_cv_exeext ac_exeext=$EXEEXT -echo "$as_me:$LINENO: checking for suffix of object files" >&5 -echo $ECHO_N "checking for suffix of object files... $ECHO_C" >&6 -if test "${ac_cv_objext+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include +int +main () +{ +FILE *f = fopen ("conftest.out", "w"); + return ferror (f) || fclose (f) != 0; + + ; + return 0; +} _ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +ac_clean_files="$ac_clean_files conftest.out" +# Check that the compiler produces executables we can run. If not, either +# the compiler is broken, or we cross compile. +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether we are cross compiling" >&5 +$as_echo_n "checking whether we are cross compiling... " >&6; } +if test "$cross_compiling" != yes; then + { { ac_try="$ac_link" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_link") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } + if { ac_try='./conftest$ac_cv_exeext' + { { case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_try") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; }; then + cross_compiling=no + else + if test "$cross_compiling" = maybe; then + cross_compiling=yes + else + { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "cannot run C compiled programs. +If you meant to cross compile, use \`--host'. +See \`config.log' for more details" "$LINENO" 5; } + fi + fi +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $cross_compiling" >&5 +$as_echo "$cross_compiling" >&6; } + +rm -f conftest.$ac_ext conftest$ac_cv_exeext conftest.out +ac_clean_files=$ac_clean_files_save +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for suffix of object files" >&5 +$as_echo_n "checking for suffix of object files... " >&6; } +if ${ac_cv_objext+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -1959,45 +2984,46 @@ main () } _ACEOF rm -f conftest.o conftest.obj -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; then - for ac_file in `(ls conftest.o conftest.obj; ls conftest.*) 2>/dev/null`; do +if { { ac_try="$ac_compile" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_compile") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then : + for ac_file in conftest.o conftest.obj conftest.*; do + test -f "$ac_file" || continue; case $ac_file in - *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg ) ;; + *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.map | *.inf | *.dSYM ) ;; *) ac_cv_objext=`expr "$ac_file" : '.*\.\(.*\)'` break;; esac done else - echo "$as_me: failed program was:" >&5 + $as_echo "$as_me: failed program was:" >&5 sed 's/^/| /' conftest.$ac_ext >&5 -{ { echo "$as_me:$LINENO: error: cannot compute suffix of object files: cannot compile -See \`config.log' for more details." >&5 -echo "$as_me: error: cannot compute suffix of object files: cannot compile -See \`config.log' for more details." >&2;} - { (exit 1); exit 1; }; } +{ { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "cannot compute suffix of object files: cannot compile +See \`config.log' for more details" "$LINENO" 5; } fi - rm -f conftest.$ac_cv_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_objext" >&5 -echo "${ECHO_T}$ac_cv_objext" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_objext" >&5 +$as_echo "$ac_cv_objext" >&6; } OBJEXT=$ac_cv_objext ac_objext=$OBJEXT -echo "$as_me:$LINENO: checking whether we are using the GNU C compiler" >&5 -echo $ECHO_N "checking whether we are using the GNU C compiler... $ECHO_C" >&6 -if test "${ac_cv_c_compiler_gnu+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether we are using the GNU C compiler" >&5 +$as_echo_n "checking whether we are using the GNU C compiler... " >&6; } +if ${ac_cv_c_compiler_gnu+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -2011,55 +3037,34 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : ac_compiler_gnu=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_compiler_gnu=no + ac_compiler_gnu=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext ac_cv_c_compiler_gnu=$ac_compiler_gnu fi -echo "$as_me:$LINENO: result: $ac_cv_c_compiler_gnu" >&5 -echo "${ECHO_T}$ac_cv_c_compiler_gnu" >&6 -GCC=`test $ac_compiler_gnu = yes && echo yes` +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_c_compiler_gnu" >&5 +$as_echo "$ac_cv_c_compiler_gnu" >&6; } +if test $ac_compiler_gnu = yes; then + GCC=yes +else + GCC= +fi ac_test_CFLAGS=${CFLAGS+set} ac_save_CFLAGS=$CFLAGS -CFLAGS="-g" -echo "$as_me:$LINENO: checking whether $CC accepts -g" >&5 -echo $ECHO_N "checking whether $CC accepts -g... $ECHO_C" >&6 -if test "${ac_cv_prog_cc_g+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether $CC accepts -g" >&5 +$as_echo_n "checking whether $CC accepts -g... " >&6; } +if ${ac_cv_prog_cc_g+:} false; then : + $as_echo_n "(cached) " >&6 +else + ac_save_c_werror_flag=$ac_c_werror_flag + ac_c_werror_flag=yes + ac_cv_prog_cc_g=no + CFLAGS="-g" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -2070,39 +3075,49 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : ac_cv_prog_cc_g=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 + CFLAGS="" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + +else + ac_c_werror_flag=$ac_save_c_werror_flag + CFLAGS="-g" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ -ac_cv_prog_cc_g=no + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_prog_cc_g=yes +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + ac_c_werror_flag=$ac_save_c_werror_flag fi -echo "$as_me:$LINENO: result: $ac_cv_prog_cc_g" >&5 -echo "${ECHO_T}$ac_cv_prog_cc_g" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_prog_cc_g" >&5 +$as_echo "$ac_cv_prog_cc_g" >&6; } if test "$ac_test_CFLAGS" = set; then CFLAGS=$ac_save_CFLAGS elif test $ac_cv_prog_cc_g = yes; then @@ -2118,23 +3133,18 @@ else CFLAGS= fi fi -echo "$as_me:$LINENO: checking for $CC option to accept ANSI C" >&5 -echo $ECHO_N "checking for $CC option to accept ANSI C... $ECHO_C" >&6 -if test "${ac_cv_prog_cc_stdc+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $CC option to accept ISO C89" >&5 +$as_echo_n "checking for $CC option to accept ISO C89... " >&6; } +if ${ac_cv_prog_cc_c89+:} false; then : + $as_echo_n "(cached) " >&6 else - ac_cv_prog_cc_stdc=no + ac_cv_prog_cc_c89=no ac_save_CC=$CC -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include #include -#include -#include +struct stat; /* Most of the following tests are stolen from RCS 5.7's src/conf.sh. */ struct buf { int x; }; FILE * (*rcsopen) (struct buf *, struct stat *, int); @@ -2157,12 +3167,17 @@ static char *f (char * (*g) (char **, int), char **p, ...) /* OSF 4.0 Compaq cc is some sort of almost-ANSI by default. It has function prototypes and stuff, but not '\xHH' hex character constants. These don't provoke an error unfortunately, instead are silently treated - as 'x'. The following induces an error, until -std1 is added to get + as 'x'. The following induces an error, until -std is added to get proper ANSI mode. Curiously '\x00'!='x' always comes out true, for an array size at least. It's necessary to write '\x00'==0 to get something - that's true only with -std1. */ + that's true only with -std. */ int osf4_cc_array ['\x00' == 0 ? 1 : -1]; +/* IBM C 6 for AIX is almost-ANSI by default, but it replaces macro parameters + inside strings and character constants. */ +#define FOO(x) 'x' +int xlc6_cc_array[FOO(a) == 'x' ? 1 : -1]; + int test (int i, double x); struct s1 {int (*f) (int a);}; struct s2 {int (*f) (double a);}; @@ -2177,205 +3192,37 @@ return f (e, argv, 0) != argv[0] || f (e, argv, 1) != argv[1]; return 0; } _ACEOF -# Don't try gcc -ansi; that turns off useful extensions and -# breaks some systems' header files. -# AIX -qlanglvl=ansi -# Ultrix and OSF/1 -std1 -# HP-UX 10.20 and later -Ae -# HP-UX older versions -Aa -D_HPUX_SOURCE -# SVR4 -Xc -D__EXTENSIONS__ -for ac_arg in "" -qlanglvl=ansi -std1 -Ae "-Aa -D_HPUX_SOURCE" "-Xc -D__EXTENSIONS__" +for ac_arg in '' -qlanglvl=extc89 -qlanglvl=ansi -std \ + -Ae "-Aa -D_HPUX_SOURCE" "-Xc -D__EXTENSIONS__" do CC="$ac_save_CC $ac_arg" - rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_prog_cc_stdc=$ac_arg -break -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - + if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_prog_cc_c89=$ac_arg fi -rm -f conftest.err conftest.$ac_objext +rm -f core conftest.err conftest.$ac_objext + test "x$ac_cv_prog_cc_c89" != "xno" && break done -rm -f conftest.$ac_ext conftest.$ac_objext +rm -f conftest.$ac_ext CC=$ac_save_CC fi - -case "x$ac_cv_prog_cc_stdc" in - x|xno) - echo "$as_me:$LINENO: result: none needed" >&5 -echo "${ECHO_T}none needed" >&6 ;; +# AC_CACHE_VAL +case "x$ac_cv_prog_cc_c89" in + x) + { $as_echo "$as_me:${as_lineno-$LINENO}: result: none needed" >&5 +$as_echo "none needed" >&6; } ;; + xno) + { $as_echo "$as_me:${as_lineno-$LINENO}: result: unsupported" >&5 +$as_echo "unsupported" >&6; } ;; *) - echo "$as_me:$LINENO: result: $ac_cv_prog_cc_stdc" >&5 -echo "${ECHO_T}$ac_cv_prog_cc_stdc" >&6 - CC="$CC $ac_cv_prog_cc_stdc" ;; + CC="$CC $ac_cv_prog_cc_c89" + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_prog_cc_c89" >&5 +$as_echo "$ac_cv_prog_cc_c89" >&6; } ;; esac - -# Some people use a C++ compiler to compile C. Since we use `exit', -# in C++ we need to declare it. In case someone uses the same compiler -# for both compiling C and C++ we need to have the C++ compiler decide -# the declaration of exit, since it's the most demanding environment. -cat >conftest.$ac_ext <<_ACEOF -#ifndef __cplusplus - choke me -#endif -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - for ac_declaration in \ - '' \ - 'extern "C" void std::exit (int) throw (); using std::exit;' \ - 'extern "C" void std::exit (int); using std::exit;' \ - 'extern "C" void exit (int) throw ();' \ - 'extern "C" void exit (int);' \ - 'void exit (int);' -do - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_declaration -#include -int -main () -{ -exit (42); - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - : -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -continue -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_declaration -int -main () -{ -exit (42); - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - break -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 +if test "x$ac_cv_prog_cc_c89" != xno; then : fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -done -rm -f conftest* -if test -n "$ac_declaration"; then - echo '#ifdef __cplusplus' >>confdefs.h - echo $ac_declaration >>confdefs.h - echo '#endif' >>confdefs.h -fi - -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext ac_ext=c ac_cpp='$CPP $CPPFLAGS' ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' @@ -2383,18 +3230,14 @@ ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $ ac_compiler_gnu=$ac_cv_c_compiler_gnu -echo "$as_me:$LINENO: checking for inline" >&5 -echo $ECHO_N "checking for inline... $ECHO_C" >&6 -if test "${ac_cv_c_inline+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for inline" >&5 +$as_echo_n "checking for inline... " >&6; } +if ${ac_cv_c_inline+:} false; then : + $as_echo_n "(cached) " >&6 else ac_cv_c_inline=no for ac_kw in inline __inline__ __inline; do - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifndef __cplusplus typedef int foo_t; @@ -2403,41 +3246,16 @@ $ac_kw foo_t foo () {return 0; } #endif _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_c_inline=$ac_kw; break -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - +if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_c_inline=$ac_kw fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + test "$ac_cv_c_inline" != no && break done fi -echo "$as_me:$LINENO: result: $ac_cv_c_inline" >&5 -echo "${ECHO_T}$ac_cv_c_inline" >&6 - +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_c_inline" >&5 +$as_echo "$ac_cv_c_inline" >&6; } case $ac_cv_c_inline in inline | yes) ;; @@ -2469,15 +3287,15 @@ ac_cpp='$CPP $CPPFLAGS' ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' ac_compiler_gnu=$ac_cv_c_compiler_gnu -echo "$as_me:$LINENO: checking how to run the C preprocessor" >&5 -echo $ECHO_N "checking how to run the C preprocessor... $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking how to run the C preprocessor" >&5 +$as_echo_n "checking how to run the C preprocessor... " >&6; } # On Suns, sometimes $CPP names a directory. if test -n "$CPP" && test -d "$CPP"; then CPP= fi if test -z "$CPP"; then - if test "${ac_cv_prog_CPP+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + if ${ac_cv_prog_CPP+:} false; then : + $as_echo_n "(cached) " >&6 else # Double quotes because CPP needs to be expanded for CPP in "$CC -E" "$CC -E -traditional-cpp" "/lib/cpp" @@ -2491,11 +3309,7 @@ do # exists even on freestanding compilers. # On the NeXT, cc -E runs the code through the compiler's parser, # not just through cpp. "Syntax error" is here to catch this case. - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifdef __STDC__ # include @@ -2504,78 +3318,34 @@ cat >>conftest.$ac_ext <<_ACEOF #endif Syntax error _ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then - : -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 +if ac_fn_c_try_cpp "$LINENO"; then : +else # Broken: fails on valid input. continue fi -rm -f conftest.err conftest.$ac_ext +rm -f conftest.err conftest.i conftest.$ac_ext - # OK, works on sane cases. Now check whether non-existent headers + # OK, works on sane cases. Now check whether nonexistent headers # can be detected and how. - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include _ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then +if ac_fn_c_try_cpp "$LINENO"; then : # Broken: success on invalid input. continue else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - # Passes both tests. ac_preproc_ok=: break fi -rm -f conftest.err conftest.$ac_ext +rm -f conftest.err conftest.i conftest.$ac_ext done # Because of `break', _AC_PREPROC_IFELSE's cleaning code was skipped. -rm -f conftest.err conftest.$ac_ext -if $ac_preproc_ok; then +rm -f conftest.i conftest.err conftest.$ac_ext +if $ac_preproc_ok; then : break fi @@ -2587,8 +3357,8 @@ fi else ac_cv_prog_CPP=$CPP fi -echo "$as_me:$LINENO: result: $CPP" >&5 -echo "${ECHO_T}$CPP" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $CPP" >&5 +$as_echo "$CPP" >&6; } ac_preproc_ok=false for ac_c_preproc_warn_flag in '' yes do @@ -2598,11 +3368,7 @@ do # exists even on freestanding compilers. # On the NeXT, cc -E runs the code through the compiler's parser, # not just through cpp. "Syntax error" is here to catch this case. - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifdef __STDC__ # include @@ -2611,85 +3377,40 @@ cat >>conftest.$ac_ext <<_ACEOF #endif Syntax error _ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then - : -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 +if ac_fn_c_try_cpp "$LINENO"; then : +else # Broken: fails on valid input. continue fi -rm -f conftest.err conftest.$ac_ext +rm -f conftest.err conftest.i conftest.$ac_ext - # OK, works on sane cases. Now check whether non-existent headers + # OK, works on sane cases. Now check whether nonexistent headers # can be detected and how. - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include _ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then +if ac_fn_c_try_cpp "$LINENO"; then : # Broken: success on invalid input. continue else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - # Passes both tests. ac_preproc_ok=: break fi -rm -f conftest.err conftest.$ac_ext +rm -f conftest.err conftest.i conftest.$ac_ext done # Because of `break', _AC_PREPROC_IFELSE's cleaning code was skipped. -rm -f conftest.err conftest.$ac_ext -if $ac_preproc_ok; then - : +rm -f conftest.i conftest.err conftest.$ac_ext +if $ac_preproc_ok; then : + else - { { echo "$as_me:$LINENO: error: C preprocessor \"$CPP\" fails sanity check -See \`config.log' for more details." >&5 -echo "$as_me: error: C preprocessor \"$CPP\" fails sanity check -See \`config.log' for more details." >&2;} - { (exit 1); exit 1; }; } + { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "C preprocessor \"$CPP\" fails sanity check +See \`config.log' for more details" "$LINENO" 5; } fi ac_ext=c @@ -2699,31 +3420,142 @@ ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $ ac_compiler_gnu=$ac_cv_c_compiler_gnu -echo "$as_me:$LINENO: checking for egrep" >&5 -echo $ECHO_N "checking for egrep... $ECHO_C" >&6 -if test "${ac_cv_prog_egrep+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for grep that handles long lines and -e" >&5 +$as_echo_n "checking for grep that handles long lines and -e... " >&6; } +if ${ac_cv_path_GREP+:} false; then : + $as_echo_n "(cached) " >&6 else - if echo a | (grep -E '(a|b)') >/dev/null 2>&1 - then ac_cv_prog_egrep='grep -E' - else ac_cv_prog_egrep='egrep' + if test -z "$GREP"; then + ac_path_GREP_found=false + # Loop through the user's path and test for each of PROGNAME-LIST + as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH$PATH_SEPARATOR/usr/xpg4/bin +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_prog in grep ggrep; do + for ac_exec_ext in '' $ac_executable_extensions; do + ac_path_GREP="$as_dir/$ac_prog$ac_exec_ext" + as_fn_executable_p "$ac_path_GREP" || continue +# Check for GNU ac_path_GREP and select it if it is found. + # Check for GNU $ac_path_GREP +case `"$ac_path_GREP" --version 2>&1` in +*GNU*) + ac_cv_path_GREP="$ac_path_GREP" ac_path_GREP_found=:;; +*) + ac_count=0 + $as_echo_n 0123456789 >"conftest.in" + while : + do + cat "conftest.in" "conftest.in" >"conftest.tmp" + mv "conftest.tmp" "conftest.in" + cp "conftest.in" "conftest.nl" + $as_echo 'GREP' >> "conftest.nl" + "$ac_path_GREP" -e 'GREP$' -e '-(cannot match)-' < "conftest.nl" >"conftest.out" 2>/dev/null || break + diff "conftest.out" "conftest.nl" >/dev/null 2>&1 || break + as_fn_arith $ac_count + 1 && ac_count=$as_val + if test $ac_count -gt ${ac_path_GREP_max-0}; then + # Best one so far, save it but keep looking for a better one + ac_cv_path_GREP="$ac_path_GREP" + ac_path_GREP_max=$ac_count fi + # 10*(2^10) chars as input seems more than enough + test $ac_count -gt 10 && break + done + rm -f conftest.in conftest.tmp conftest.nl conftest.out;; +esac + + $ac_path_GREP_found && break 3 + done + done + done +IFS=$as_save_IFS + if test -z "$ac_cv_path_GREP"; then + as_fn_error $? "no acceptable grep could be found in $PATH$PATH_SEPARATOR/usr/xpg4/bin" "$LINENO" 5 + fi +else + ac_cv_path_GREP=$GREP +fi + fi -echo "$as_me:$LINENO: result: $ac_cv_prog_egrep" >&5 -echo "${ECHO_T}$ac_cv_prog_egrep" >&6 - EGREP=$ac_cv_prog_egrep +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_path_GREP" >&5 +$as_echo "$ac_cv_path_GREP" >&6; } + GREP="$ac_cv_path_GREP" -echo "$as_me:$LINENO: checking for ANSI C header files" >&5 -echo $ECHO_N "checking for ANSI C header files... $ECHO_C" >&6 -if test "${ac_cv_header_stdc+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for egrep" >&5 +$as_echo_n "checking for egrep... " >&6; } +if ${ac_cv_path_EGREP+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + if echo a | $GREP -E '(a|b)' >/dev/null 2>&1 + then ac_cv_path_EGREP="$GREP -E" + else + if test -z "$EGREP"; then + ac_path_EGREP_found=false + # Loop through the user's path and test for each of PROGNAME-LIST + as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH$PATH_SEPARATOR/usr/xpg4/bin +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_prog in egrep; do + for ac_exec_ext in '' $ac_executable_extensions; do + ac_path_EGREP="$as_dir/$ac_prog$ac_exec_ext" + as_fn_executable_p "$ac_path_EGREP" || continue +# Check for GNU ac_path_EGREP and select it if it is found. + # Check for GNU $ac_path_EGREP +case `"$ac_path_EGREP" --version 2>&1` in +*GNU*) + ac_cv_path_EGREP="$ac_path_EGREP" ac_path_EGREP_found=:;; +*) + ac_count=0 + $as_echo_n 0123456789 >"conftest.in" + while : + do + cat "conftest.in" "conftest.in" >"conftest.tmp" + mv "conftest.tmp" "conftest.in" + cp "conftest.in" "conftest.nl" + $as_echo 'EGREP' >> "conftest.nl" + "$ac_path_EGREP" 'EGREP$' < "conftest.nl" >"conftest.out" 2>/dev/null || break + diff "conftest.out" "conftest.nl" >/dev/null 2>&1 || break + as_fn_arith $ac_count + 1 && ac_count=$as_val + if test $ac_count -gt ${ac_path_EGREP_max-0}; then + # Best one so far, save it but keep looking for a better one + ac_cv_path_EGREP="$ac_path_EGREP" + ac_path_EGREP_max=$ac_count + fi + # 10*(2^10) chars as input seems more than enough + test $ac_count -gt 10 && break + done + rm -f conftest.in conftest.tmp conftest.nl conftest.out;; +esac + + $ac_path_EGREP_found && break 3 + done + done + done +IFS=$as_save_IFS + if test -z "$ac_cv_path_EGREP"; then + as_fn_error $? "no acceptable egrep could be found in $PATH$PATH_SEPARATOR/usr/xpg4/bin" "$LINENO" 5 + fi +else + ac_cv_path_EGREP=$EGREP +fi + + fi +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_path_EGREP" >&5 +$as_echo "$ac_cv_path_EGREP" >&6; } + EGREP="$ac_cv_path_EGREP" + + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for ANSI C header files" >&5 +$as_echo_n "checking for ANSI C header files... " >&6; } +if ${ac_cv_header_stdc+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include #include @@ -2738,51 +3570,23 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : ac_cv_header_stdc=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_header_stdc=no + ac_cv_header_stdc=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext if test $ac_cv_header_stdc = yes; then # SunOS 4.x string.h does not declare mem*, contrary to ANSI. - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include _ACEOF if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | - $EGREP "memchr" >/dev/null 2>&1; then - : + $EGREP "memchr" >/dev/null 2>&1; then : + else ac_cv_header_stdc=no fi @@ -2792,18 +3596,14 @@ fi if test $ac_cv_header_stdc = yes; then # ISC 2.0.2 stdlib.h does not declare free, contrary to ANSI. - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include _ACEOF if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | - $EGREP "free" >/dev/null 2>&1; then - : + $EGREP "free" >/dev/null 2>&1; then : + else ac_cv_header_stdc=no fi @@ -2813,16 +3613,13 @@ fi if test $ac_cv_header_stdc = yes; then # /bin/cc in Irix-4.0.5 gets non-ANSI ctype macros unless using -ansi. - if test "$cross_compiling" = yes; then + if test "$cross_compiling" = yes; then : : else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include +#include #if ((' ' & 0x0FF) == 0x020) # define ISLOWER(c) ('a' <= (c) && (c) <= 'z') # define TOUPPER(c) (ISLOWER(c) ? 'A' + ((c) - 'a') : (c)) @@ -2842,109 +3639,39 @@ main () for (i = 0; i < 256; i++) if (XOR (islower (i), ISLOWER (i)) || toupper (i) != TOUPPER (i)) - exit(2); - exit (0); + return 2; + return 0; } _ACEOF -rm -f conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && { ac_try='./conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - : -else - echo "$as_me: program exited with status $ac_status" >&5 -echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 +if ac_fn_c_try_run "$LINENO"; then : -( exit $ac_status ) -ac_cv_header_stdc=no +else + ac_cv_header_stdc=no fi -rm -f core *.core gmon.out bb.out conftest$ac_exeext conftest.$ac_objext conftest.$ac_ext +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext fi + fi fi -echo "$as_me:$LINENO: result: $ac_cv_header_stdc" >&5 -echo "${ECHO_T}$ac_cv_header_stdc" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_header_stdc" >&5 +$as_echo "$ac_cv_header_stdc" >&6; } if test $ac_cv_header_stdc = yes; then -cat >>confdefs.h <<\_ACEOF -#define STDC_HEADERS 1 -_ACEOF +$as_echo "#define STDC_HEADERS 1" >>confdefs.h fi # On IRIX 5.3, sys/types and inttypes.h are conflicting. - - - - - - - - - for ac_header in sys/types.h sys/stat.h stdlib.h string.h memory.h strings.h \ inttypes.h stdint.h unistd.h -do -as_ac_Header=`echo "ac_cv_header_$ac_header" | $as_tr_sh` -echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default - -#include <$ac_header> -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - eval "$as_ac_Header=yes" -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -eval "$as_ac_Header=no" -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 -if test `eval echo '${'$as_ac_Header'}'` = yes; then +do : + as_ac_Header=`$as_echo "ac_cv_header_$ac_header" | $as_tr_sh` +ac_fn_c_check_header_compile "$LINENO" "$ac_header" "$as_ac_Header" "$ac_includes_default +" +if eval test \"x\$"$as_ac_Header"\" = x"yes"; then : cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_header" | $as_tr_cpp` 1 +#define `$as_echo "HAVE_$ac_header" | $as_tr_cpp` 1 _ACEOF fi @@ -2953,17 +3680,13 @@ done - echo "$as_me:$LINENO: checking dirent.h" >&5 -echo $ECHO_N "checking dirent.h... $ECHO_C" >&6 -if test "${tcl_cv_dirent_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking dirent.h" >&5 +$as_echo_n "checking dirent.h... " >&6; } +if ${tcl_cv_dirent_h+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include #include @@ -2993,1179 +3716,167 @@ closedir(d); return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_dirent_h=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_dirent_h=no + tcl_cv_dirent_h=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_dirent_h" >&5 -echo "${ECHO_T}$tcl_cv_dirent_h" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_dirent_h" >&5 +$as_echo "$tcl_cv_dirent_h" >&6; } if test $tcl_cv_dirent_h = no; then -cat >>confdefs.h <<\_ACEOF -#define NO_DIRENT_H 1 -_ACEOF +$as_echo "#define NO_DIRENT_H 1" >>confdefs.h fi - if test "${ac_cv_header_float_h+set}" = set; then - echo "$as_me:$LINENO: checking for float.h" >&5 -echo $ECHO_N "checking for float.h... $ECHO_C" >&6 -if test "${ac_cv_header_float_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: $ac_cv_header_float_h" >&5 -echo "${ECHO_T}$ac_cv_header_float_h" >&6 -else - # Is the header compilable? -echo "$as_me:$LINENO: checking float.h usability" >&5 -echo $ECHO_N "checking float.h usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_header_compiler=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 + ac_fn_c_check_header_mongrel "$LINENO" "float.h" "ac_cv_header_float_h" "$ac_includes_default" +if test "x$ac_cv_header_float_h" = xyes; then : -# Is the header present? -echo "$as_me:$LINENO: checking float.h presence" >&5 -echo $ECHO_N "checking float.h presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -_ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - - ac_header_preproc=no -fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: float.h: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: float.h: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: float.h: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: float.h: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: float.h: present but cannot be compiled" >&5 -echo "$as_me: WARNING: float.h: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: float.h: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: float.h: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: float.h: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: float.h: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: float.h: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: float.h: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: float.h: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: float.h: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: float.h: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: float.h: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for float.h" >&5 -echo $ECHO_N "checking for float.h... $ECHO_C" >&6 -if test "${ac_cv_header_float_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - ac_cv_header_float_h=$ac_header_preproc -fi -echo "$as_me:$LINENO: result: $ac_cv_header_float_h" >&5 -echo "${ECHO_T}$ac_cv_header_float_h" >&6 +$as_echo "#define NO_FLOAT_H 1" >>confdefs.h fi -if test $ac_cv_header_float_h = yes; then - : -else -cat >>confdefs.h <<\_ACEOF -#define NO_FLOAT_H 1 -_ACEOF - -fi + ac_fn_c_check_header_mongrel "$LINENO" "values.h" "ac_cv_header_values_h" "$ac_includes_default" +if test "x$ac_cv_header_values_h" = xyes; then : - if test "${ac_cv_header_values_h+set}" = set; then - echo "$as_me:$LINENO: checking for values.h" >&5 -echo $ECHO_N "checking for values.h... $ECHO_C" >&6 -if test "${ac_cv_header_values_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: $ac_cv_header_values_h" >&5 -echo "${ECHO_T}$ac_cv_header_values_h" >&6 else - # Is the header compilable? -echo "$as_me:$LINENO: checking values.h usability" >&5 -echo $ECHO_N "checking values.h usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 -ac_header_compiler=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 +$as_echo "#define NO_VALUES_H 1" >>confdefs.h -# Is the header present? -echo "$as_me:$LINENO: checking values.h presence" >&5 -echo $ECHO_N "checking values.h presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -_ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - ac_header_preproc=no -fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 -# So? 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What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: dlfcn.h: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: dlfcn.h: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: dlfcn.h: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: dlfcn.h: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: dlfcn.h: present but cannot be compiled" >&5 -echo "$as_me: WARNING: dlfcn.h: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: dlfcn.h: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: dlfcn.h: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: dlfcn.h: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: dlfcn.h: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: dlfcn.h: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: dlfcn.h: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: dlfcn.h: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: dlfcn.h: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: dlfcn.h: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: dlfcn.h: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for dlfcn.h" >&5 -echo $ECHO_N "checking for dlfcn.h... $ECHO_C" >&6 -if test "${ac_cv_header_dlfcn_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - ac_cv_header_dlfcn_h=$ac_header_preproc -fi -echo "$as_me:$LINENO: result: $ac_cv_header_dlfcn_h" >&5 -echo "${ECHO_T}$ac_cv_header_dlfcn_h" >&6 + ac_fn_c_check_header_mongrel "$LINENO" "dlfcn.h" "ac_cv_header_dlfcn_h" "$ac_includes_default" +if test "x$ac_cv_header_dlfcn_h" = xyes; then : -fi -if test $ac_cv_header_dlfcn_h = yes; then - : else -cat >>confdefs.h <<\_ACEOF -#define NO_DLFCN_H 1 -_ACEOF +$as_echo "#define NO_DLFCN_H 1" >>confdefs.h fi # OS/390 lacks sys/param.h (and doesn't need it, by chance). - -for ac_header in sys/param.h -do -as_ac_Header=`echo "ac_cv_header_$ac_header" | $as_tr_sh` -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 -else - # Is the header compilable? -echo "$as_me:$LINENO: checking $ac_header usability" >&5 -echo $ECHO_N "checking $ac_header usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include <$ac_header> -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_header_compiler=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 - -# Is the header present? -echo "$as_me:$LINENO: checking $ac_header presence" >&5 -echo $ECHO_N "checking $ac_header presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include <$ac_header> -_ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - - ac_header_preproc=no -fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 - -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: $ac_header: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: $ac_header: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: $ac_header: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: $ac_header: present but cannot be compiled" >&5 -echo "$as_me: WARNING: $ac_header: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: $ac_header: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: $ac_header: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: $ac_header: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: $ac_header: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: $ac_header: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - eval "$as_ac_Header=\$ac_header_preproc" -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 - -fi -if test `eval echo '${'$as_ac_Header'}'` = yes; then + for ac_header in sys/param.h +do : + ac_fn_c_check_header_mongrel "$LINENO" "sys/param.h" "ac_cv_header_sys_param_h" "$ac_includes_default" +if test "x$ac_cv_header_sys_param_h" = xyes; then : cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_header" | $as_tr_cpp` 1 +#define HAVE_SYS_PARAM_H 1 _ACEOF fi @@ -4186,18 +3897,14 @@ done #------------------------------------------------------------------------ if test -z "$no_pipe" && test -n "$GCC"; then - echo "$as_me:$LINENO: checking if the compiler understands -pipe" >&5 -echo $ECHO_N "checking if the compiler understands -pipe... $ECHO_C" >&6 -if test "${tcl_cv_cc_pipe+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if the compiler understands -pipe" >&5 +$as_echo_n "checking if the compiler understands -pipe... " >&6; } +if ${tcl_cv_cc_pipe+:} false; then : + $as_echo_n "(cached) " >&6 else hold_cflags=$CFLAGS; CFLAGS="$CFLAGS -pipe" - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -4208,40 +3915,16 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_cc_pipe=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_cc_pipe=no + tcl_cv_cc_pipe=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext CFLAGS=$hold_cflags fi -echo "$as_me:$LINENO: result: $tcl_cv_cc_pipe" >&5 -echo "${ECHO_T}$tcl_cv_cc_pipe" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_cc_pipe" >&5 +$as_echo "$tcl_cv_cc_pipe" >&6; } if test $tcl_cv_cc_pipe = yes; then CFLAGS="$CFLAGS -pipe" fi @@ -4252,13 +3935,13 @@ fi #------------------------------------------------------------------------ - # Check whether --enable-threads or --disable-threads was given. -if test "${enable_threads+set}" = set; then - enableval="$enable_threads" - tcl_ok=$enableval + # Check whether --enable-threads was given. +if test "${enable_threads+set}" = set; then : + enableval=$enable_threads; tcl_ok=$enableval else tcl_ok=yes -fi; +fi + if test "${TCL_THREADS}" = 1; then tcl_threaded_core=1; @@ -4269,92 +3952,56 @@ fi; # USE_THREAD_ALLOC tells us to try the special thread-based # allocator that significantly reduces lock contention -cat >>confdefs.h <<\_ACEOF -#define USE_THREAD_ALLOC 1 -_ACEOF +$as_echo "#define USE_THREAD_ALLOC 1" >>confdefs.h -cat >>confdefs.h <<\_ACEOF -#define _REENTRANT 1 -_ACEOF +$as_echo "#define _REENTRANT 1" >>confdefs.h if test "`uname -s`" = "SunOS" ; then -cat >>confdefs.h <<\_ACEOF -#define _POSIX_PTHREAD_SEMANTICS 1 -_ACEOF +$as_echo "#define _POSIX_PTHREAD_SEMANTICS 1" >>confdefs.h fi -cat >>confdefs.h <<\_ACEOF -#define _THREAD_SAFE 1 -_ACEOF +$as_echo "#define _THREAD_SAFE 1" >>confdefs.h - echo "$as_me:$LINENO: checking for pthread_mutex_init in -lpthread" >&5 -echo $ECHO_N "checking for pthread_mutex_init in -lpthread... $ECHO_C" >&6 -if test "${ac_cv_lib_pthread_pthread_mutex_init+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for pthread_mutex_init in -lpthread" >&5 +$as_echo_n "checking for pthread_mutex_init in -lpthread... " >&6; } +if ${ac_cv_lib_pthread_pthread_mutex_init+:} false; then : + $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-lpthread $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" #endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ char pthread_mutex_init (); int main () { -pthread_mutex_init (); +return pthread_mutex_init (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_pthread_pthread_mutex_init=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_pthread_pthread_mutex_init=no + ac_cv_lib_pthread_pthread_mutex_init=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_pthread_pthread_mutex_init" >&5 -echo "${ECHO_T}$ac_cv_lib_pthread_pthread_mutex_init" >&6 -if test $ac_cv_lib_pthread_pthread_mutex_init = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_pthread_pthread_mutex_init" >&5 +$as_echo "$ac_cv_lib_pthread_pthread_mutex_init" >&6; } +if test "x$ac_cv_lib_pthread_pthread_mutex_init" = xyes; then : tcl_ok=yes else tcl_ok=no @@ -4366,71 +4013,43 @@ fi # defined. We could alternatively do an AC_TRY_COMPILE with # pthread.h, but that will work with libpthread really doesn't # exist, like AIX 4.2. [Bug: 4359] - echo "$as_me:$LINENO: checking for __pthread_mutex_init in -lpthread" >&5 -echo $ECHO_N "checking for __pthread_mutex_init in -lpthread... $ECHO_C" >&6 -if test "${ac_cv_lib_pthread___pthread_mutex_init+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for __pthread_mutex_init in -lpthread" >&5 +$as_echo_n "checking for __pthread_mutex_init in -lpthread... " >&6; } +if ${ac_cv_lib_pthread___pthread_mutex_init+:} false; then : + $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-lpthread $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" #endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ char __pthread_mutex_init (); int main () { -__pthread_mutex_init (); +return __pthread_mutex_init (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_pthread___pthread_mutex_init=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_pthread___pthread_mutex_init=no + ac_cv_lib_pthread___pthread_mutex_init=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_pthread___pthread_mutex_init" >&5 -echo "${ECHO_T}$ac_cv_lib_pthread___pthread_mutex_init" >&6 -if test $ac_cv_lib_pthread___pthread_mutex_init = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_pthread___pthread_mutex_init" >&5 +$as_echo "$ac_cv_lib_pthread___pthread_mutex_init" >&6; } +if test "x$ac_cv_lib_pthread___pthread_mutex_init" = xyes; then : tcl_ok=yes else tcl_ok=no @@ -4442,71 +4061,43 @@ fi # The space is needed THREADS_LIBS=" -lpthread" else - echo "$as_me:$LINENO: checking for pthread_mutex_init in -lpthreads" >&5 -echo $ECHO_N "checking for pthread_mutex_init in -lpthreads... $ECHO_C" >&6 -if test "${ac_cv_lib_pthreads_pthread_mutex_init+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for pthread_mutex_init in -lpthreads" >&5 +$as_echo_n "checking for pthread_mutex_init in -lpthreads... " >&6; } +if ${ac_cv_lib_pthreads_pthread_mutex_init+:} false; then : + $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-lpthreads $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" #endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ char pthread_mutex_init (); int main () { -pthread_mutex_init (); +return pthread_mutex_init (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_pthreads_pthread_mutex_init=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_pthreads_pthread_mutex_init=no + ac_cv_lib_pthreads_pthread_mutex_init=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_pthreads_pthread_mutex_init" >&5 -echo "${ECHO_T}$ac_cv_lib_pthreads_pthread_mutex_init" >&6 -if test $ac_cv_lib_pthreads_pthread_mutex_init = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_pthreads_pthread_mutex_init" >&5 +$as_echo "$ac_cv_lib_pthreads_pthread_mutex_init" >&6; } +if test "x$ac_cv_lib_pthreads_pthread_mutex_init" = xyes; then : tcl_ok=yes else tcl_ok=no @@ -4516,142 +4107,86 @@ fi # The space is needed THREADS_LIBS=" -lpthreads" else - echo "$as_me:$LINENO: checking for pthread_mutex_init in -lc" >&5 -echo $ECHO_N "checking for pthread_mutex_init in -lc... $ECHO_C" >&6 -if test "${ac_cv_lib_c_pthread_mutex_init+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for pthread_mutex_init in -lc" >&5 +$as_echo_n "checking for pthread_mutex_init in -lc... " >&6; } +if ${ac_cv_lib_c_pthread_mutex_init+:} false; then : + $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-lc $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" #endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ char pthread_mutex_init (); int main () { -pthread_mutex_init (); +return pthread_mutex_init (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_c_pthread_mutex_init=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_c_pthread_mutex_init=no + ac_cv_lib_c_pthread_mutex_init=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_c_pthread_mutex_init" >&5 -echo "${ECHO_T}$ac_cv_lib_c_pthread_mutex_init" >&6 -if test $ac_cv_lib_c_pthread_mutex_init = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_c_pthread_mutex_init" >&5 +$as_echo "$ac_cv_lib_c_pthread_mutex_init" >&6; } +if test "x$ac_cv_lib_c_pthread_mutex_init" = xyes; then : tcl_ok=yes else tcl_ok=no fi if test "$tcl_ok" = "no"; then - echo "$as_me:$LINENO: checking for pthread_mutex_init in -lc_r" >&5 -echo $ECHO_N "checking for pthread_mutex_init in -lc_r... $ECHO_C" >&6 -if test "${ac_cv_lib_c_r_pthread_mutex_init+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for pthread_mutex_init in -lc_r" >&5 +$as_echo_n "checking for pthread_mutex_init in -lc_r... " >&6; } +if ${ac_cv_lib_c_r_pthread_mutex_init+:} false; then : + $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-lc_r $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" #endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ char pthread_mutex_init (); int main () { -pthread_mutex_init (); +return pthread_mutex_init (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_c_r_pthread_mutex_init=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_c_r_pthread_mutex_init=no + ac_cv_lib_c_r_pthread_mutex_init=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_c_r_pthread_mutex_init" >&5 -echo "${ECHO_T}$ac_cv_lib_c_r_pthread_mutex_init" >&6 -if test $ac_cv_lib_c_r_pthread_mutex_init = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_c_r_pthread_mutex_init" >&5 +$as_echo "$ac_cv_lib_c_r_pthread_mutex_init" >&6; } +if test "x$ac_cv_lib_c_r_pthread_mutex_init" = xyes; then : tcl_ok=yes else tcl_ok=no @@ -4662,8 +4197,8 @@ fi THREADS_LIBS=" -pthread" else TCL_THREADS=0 - { echo "$as_me:$LINENO: WARNING: Don't know how to find pthread lib on your system - you must disable thread support or edit the LIBS in the Makefile..." >&5 -echo "$as_me: WARNING: Don't know how to find pthread lib on your system - you must disable thread support or edit the LIBS in the Makefile..." >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: Don't know how to find pthread lib on your system - you must disable thread support or edit the LIBS in the Makefile..." >&5 +$as_echo "$as_me: WARNING: Don't know how to find pthread lib on your system - you must disable thread support or edit the LIBS in the Makefile..." >&2;} fi fi fi @@ -4674,104 +4209,13 @@ echo "$as_me: WARNING: Don't know how to find pthread lib on your system - you m ac_saved_libs=$LIBS LIBS="$LIBS $THREADS_LIBS" - - -for ac_func in pthread_attr_setstacksize pthread_atfork -do -as_ac_var=`echo "ac_cv_func_$ac_func" | $as_tr_sh` -echo "$as_me:$LINENO: checking for $ac_func" >&5 -echo $ECHO_N "checking for $ac_func... $ECHO_C" >&6 -if eval "test \"\${$as_ac_var+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define $ac_func to an innocuous variant, in case declares $ac_func. - For example, HP-UX 11i declares gettimeofday. */ -#define $ac_func innocuous_$ac_func - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char $ac_func (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif - -#undef $ac_func - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char $ac_func (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_$ac_func) || defined (__stub___$ac_func) -choke me -#else -char (*f) () = $ac_func; -#endif -#ifdef __cplusplus -} -#endif - -int -main () -{ -return f != $ac_func; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - eval "$as_ac_var=yes" -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -eval "$as_ac_var=no" -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_var'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_var'}'`" >&6 -if test `eval echo '${'$as_ac_var'}'` = yes; then + for ac_func in pthread_attr_setstacksize pthread_atfork +do : + as_ac_var=`$as_echo "ac_cv_func_$ac_func" | $as_tr_sh` +ac_fn_c_check_func "$LINENO" "$ac_func" "$as_ac_var" +if eval test \"x\$"$as_ac_var"\" = x"yes"; then : cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_func" | $as_tr_cpp` 1 +#define `$as_echo "HAVE_$ac_func" | $as_tr_cpp` 1 _ACEOF fi @@ -4782,24 +4226,22 @@ done TCL_THREADS=0 fi # Do checking message here to not mess up interleaved configure output - echo "$as_me:$LINENO: checking for building with threads" >&5 -echo $ECHO_N "checking for building with threads... $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for building with threads" >&5 +$as_echo_n "checking for building with threads... " >&6; } if test "${TCL_THREADS}" = 1; then -cat >>confdefs.h <<\_ACEOF -#define TCL_THREADS 1 -_ACEOF +$as_echo "#define TCL_THREADS 1" >>confdefs.h if test "${tcl_threaded_core}" = 1; then - echo "$as_me:$LINENO: result: yes (threaded core)" >&5 -echo "${ECHO_T}yes (threaded core)" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes (threaded core)" >&5 +$as_echo "yes (threaded core)" >&6; } else - echo "$as_me:$LINENO: result: yes" >&5 -echo "${ECHO_T}yes" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes" >&5 +$as_echo "yes" >&6; } fi else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi @@ -4811,11 +4253,11 @@ echo "${ECHO_T}no" >&6 -# Check whether --with-encoding or --without-encoding was given. -if test "${with_encoding+set}" = set; then - withval="$with_encoding" - with_tcencoding=${withval} -fi; +# Check whether --with-encoding was given. +if test "${with_encoding+set}" = set; then : + withval=$with_encoding; with_tcencoding=${withval} +fi + if test x"${with_tcencoding}" != x ; then @@ -4825,9 +4267,7 @@ _ACEOF else -cat >>confdefs.h <<\_ACEOF -#define TCL_CFGVAL_ENCODING "iso8859-1" -_ACEOF +$as_echo "#define TCL_CFGVAL_ENCODING \"iso8859-1\"" >>confdefs.h fi @@ -4844,161 +4284,44 @@ _ACEOF # right (and it must appear before "-lm"). #-------------------------------------------------------------------- - echo "$as_me:$LINENO: checking for sin" >&5 -echo $ECHO_N "checking for sin... $ECHO_C" >&6 -if test "${ac_cv_func_sin+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define sin to an innocuous variant, in case declares sin. - For example, HP-UX 11i declares gettimeofday. */ -#define sin innocuous_sin - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char sin (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif - -#undef sin - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char sin (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_sin) || defined (__stub___sin) -choke me -#else -char (*f) () = sin; -#endif -#ifdef __cplusplus -} -#endif - -int -main () -{ -return f != sin; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_sin=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_func_sin=no -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: $ac_cv_func_sin" >&5 -echo "${ECHO_T}$ac_cv_func_sin" >&6 -if test $ac_cv_func_sin = yes; then + ac_fn_c_check_func "$LINENO" "sin" "ac_cv_func_sin" +if test "x$ac_cv_func_sin" = xyes; then : MATH_LIBS="" else MATH_LIBS="-lm" fi - echo "$as_me:$LINENO: checking for main in -lieee" >&5 -echo $ECHO_N "checking for main in -lieee... $ECHO_C" >&6 -if test "${ac_cv_lib_ieee_main+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for main in -lieee" >&5 +$as_echo_n "checking for main in -lieee... " >&6; } +if ${ac_cv_lib_ieee_main+:} false; then : + $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-lieee $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int main () { -main (); +return main (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_ieee_main=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_ieee_main=no + ac_cv_lib_ieee_main=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_ieee_main" >&5 -echo "${ECHO_T}$ac_cv_lib_ieee_main" >&6 -if test $ac_cv_lib_ieee_main = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_ieee_main" >&5 +$as_echo "$ac_cv_lib_ieee_main" >&6; } +if test "x$ac_cv_lib_ieee_main" = xyes; then : MATH_LIBS="-lieee $MATH_LIBS" fi @@ -5008,211 +4331,45 @@ fi # needs net/errno.h to define the socket-related error codes. #-------------------------------------------------------------------- - echo "$as_me:$LINENO: checking for main in -linet" >&5 -echo $ECHO_N "checking for main in -linet... $ECHO_C" >&6 -if test "${ac_cv_lib_inet_main+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for main in -linet" >&5 +$as_echo_n "checking for main in -linet... " >&6; } +if ${ac_cv_lib_inet_main+:} false; then : + $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-linet $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int main () { -main (); +return main (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_inet_main=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_inet_main=no + ac_cv_lib_inet_main=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_inet_main" >&5 -echo "${ECHO_T}$ac_cv_lib_inet_main" >&6 -if test $ac_cv_lib_inet_main = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_inet_main" >&5 +$as_echo "$ac_cv_lib_inet_main" >&6; } +if test "x$ac_cv_lib_inet_main" = xyes; then : LIBS="$LIBS -linet" fi - if test "${ac_cv_header_net_errno_h+set}" = set; then - echo "$as_me:$LINENO: checking for net/errno.h" >&5 -echo $ECHO_N "checking for net/errno.h... $ECHO_C" >&6 -if test "${ac_cv_header_net_errno_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: $ac_cv_header_net_errno_h" >&5 -echo "${ECHO_T}$ac_cv_header_net_errno_h" >&6 -else - # Is the header compilable? -echo "$as_me:$LINENO: checking net/errno.h usability" >&5 -echo $ECHO_N "checking net/errno.h usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_header_compiler=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 - -# Is the header present? -echo "$as_me:$LINENO: checking net/errno.h presence" >&5 -echo $ECHO_N "checking net/errno.h presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -_ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - - ac_header_preproc=no -fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 - -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: net/errno.h: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: net/errno.h: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: net/errno.h: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: net/errno.h: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: net/errno.h: present but cannot be compiled" >&5 -echo "$as_me: WARNING: net/errno.h: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: net/errno.h: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: net/errno.h: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: net/errno.h: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: net/errno.h: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: net/errno.h: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: net/errno.h: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: net/errno.h: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: net/errno.h: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: net/errno.h: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: net/errno.h: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for net/errno.h" >&5 -echo $ECHO_N "checking for net/errno.h... $ECHO_C" >&6 -if test "${ac_cv_header_net_errno_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - ac_cv_header_net_errno_h=$ac_header_preproc -fi -echo "$as_me:$LINENO: result: $ac_cv_header_net_errno_h" >&5 -echo "${ECHO_T}$ac_cv_header_net_errno_h" >&6 - -fi -if test $ac_cv_header_net_errno_h = yes; then + ac_fn_c_check_header_mongrel "$LINENO" "net/errno.h" "ac_cv_header_net_errno_h" "$ac_includes_default" +if test "x$ac_cv_header_net_errno_h" = xyes; then : -cat >>confdefs.h <<\_ACEOF -#define HAVE_NET_ERRNO_H 1 -_ACEOF +$as_echo "#define HAVE_NET_ERRNO_H 1" >>confdefs.h fi @@ -5237,527 +4394,115 @@ fi #-------------------------------------------------------------------- tcl_checkBoth=0 - echo "$as_me:$LINENO: checking for connect" >&5 -echo $ECHO_N "checking for connect... $ECHO_C" >&6 -if test "${ac_cv_func_connect+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + ac_fn_c_check_func "$LINENO" "connect" "ac_cv_func_connect" +if test "x$ac_cv_func_connect" = xyes; then : + tcl_checkSocket=0 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define connect to an innocuous variant, in case declares connect. - For example, HP-UX 11i declares gettimeofday. */ -#define connect innocuous_connect - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char connect (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ + tcl_checkSocket=1 +fi -#ifdef __STDC__ -# include -#else -# include -#endif + if test "$tcl_checkSocket" = 1; then + ac_fn_c_check_func "$LINENO" "setsockopt" "ac_cv_func_setsockopt" +if test "x$ac_cv_func_setsockopt" = xyes; then : -#undef connect +else + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for setsockopt in -lsocket" >&5 +$as_echo_n "checking for setsockopt in -lsocket... " >&6; } +if ${ac_cv_lib_socket_setsockopt+:} false; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-lsocket $LIBS" +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC builtin and then its argument prototype would still apply. */ -char connect (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_connect) || defined (__stub___connect) -choke me -#else -char (*f) () = connect; -#endif #ifdef __cplusplus -} +extern "C" #endif - +char setsockopt (); int main () { -return f != connect; +return setsockopt (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_connect=yes +if ac_fn_c_try_link "$LINENO"; then : + ac_cv_lib_socket_setsockopt=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_func_connect=no + ac_cv_lib_socket_setsockopt=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_func_connect" >&5 -echo "${ECHO_T}$ac_cv_func_connect" >&6 -if test $ac_cv_func_connect = yes; then - tcl_checkSocket=0 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_socket_setsockopt" >&5 +$as_echo "$ac_cv_lib_socket_setsockopt" >&6; } +if test "x$ac_cv_lib_socket_setsockopt" = xyes; then : + LIBS="$LIBS -lsocket" else - tcl_checkSocket=1 + tcl_checkBoth=1 fi - if test "$tcl_checkSocket" = 1; then - echo "$as_me:$LINENO: checking for setsockopt" >&5 -echo $ECHO_N "checking for setsockopt... $ECHO_C" >&6 -if test "${ac_cv_func_setsockopt+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define setsockopt to an innocuous variant, in case declares setsockopt. - For example, HP-UX 11i declares gettimeofday. */ -#define setsockopt innocuous_setsockopt +fi -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char setsockopt (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ + fi + if test "$tcl_checkBoth" = 1; then + tk_oldLibs=$LIBS + LIBS="$LIBS -lsocket -lnsl" + ac_fn_c_check_func "$LINENO" "accept" "ac_cv_func_accept" +if test "x$ac_cv_func_accept" = xyes; then : + tcl_checkNsl=0 +else + LIBS=$tk_oldLibs +fi -#ifdef __STDC__ -# include -#else -# include -#endif + fi + ac_fn_c_check_func "$LINENO" "gethostbyname" "ac_cv_func_gethostbyname" +if test "x$ac_cv_func_gethostbyname" = xyes; then : -#undef setsockopt +else + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for gethostbyname in -lnsl" >&5 +$as_echo_n "checking for gethostbyname in -lnsl... " >&6; } +if ${ac_cv_lib_nsl_gethostbyname+:} false; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-lnsl $LIBS" +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" -{ #endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char setsockopt (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_setsockopt) || defined (__stub___setsockopt) -choke me -#else -char (*f) () = setsockopt; -#endif -#ifdef __cplusplus -} -#endif - -int -main () -{ -return f != setsockopt; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_setsockopt=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_func_setsockopt=no -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: $ac_cv_func_setsockopt" >&5 -echo "${ECHO_T}$ac_cv_func_setsockopt" >&6 -if test $ac_cv_func_setsockopt = yes; then - : -else - echo "$as_me:$LINENO: checking for setsockopt in -lsocket" >&5 -echo $ECHO_N "checking for setsockopt in -lsocket... $ECHO_C" >&6 -if test "${ac_cv_lib_socket_setsockopt+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - ac_check_lib_save_LIBS=$LIBS -LIBS="-lsocket $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char setsockopt (); -int -main () -{ -setsockopt (); - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_lib_socket_setsockopt=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_socket_setsockopt=no -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -LIBS=$ac_check_lib_save_LIBS -fi -echo "$as_me:$LINENO: result: $ac_cv_lib_socket_setsockopt" >&5 -echo "${ECHO_T}$ac_cv_lib_socket_setsockopt" >&6 -if test $ac_cv_lib_socket_setsockopt = yes; then - LIBS="$LIBS -lsocket" -else - tcl_checkBoth=1 -fi - -fi - - fi - if test "$tcl_checkBoth" = 1; then - tk_oldLibs=$LIBS - LIBS="$LIBS -lsocket -lnsl" - echo "$as_me:$LINENO: checking for accept" >&5 -echo $ECHO_N "checking for accept... $ECHO_C" >&6 -if test "${ac_cv_func_accept+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define accept to an innocuous variant, in case declares accept. - For example, HP-UX 11i declares gettimeofday. */ -#define accept innocuous_accept - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char accept (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif - -#undef accept - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char accept (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_accept) || defined (__stub___accept) -choke me -#else -char (*f) () = accept; -#endif -#ifdef __cplusplus -} -#endif - -int -main () -{ -return f != accept; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_accept=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_func_accept=no -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: $ac_cv_func_accept" >&5 -echo "${ECHO_T}$ac_cv_func_accept" >&6 -if test $ac_cv_func_accept = yes; then - tcl_checkNsl=0 -else - LIBS=$tk_oldLibs -fi - - fi - echo "$as_me:$LINENO: checking for gethostbyname" >&5 -echo $ECHO_N "checking for gethostbyname... $ECHO_C" >&6 -if test "${ac_cv_func_gethostbyname+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define gethostbyname to an innocuous variant, in case declares gethostbyname. - For example, HP-UX 11i declares gettimeofday. */ -#define gethostbyname innocuous_gethostbyname - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char gethostbyname (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif - -#undef gethostbyname - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char gethostbyname (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_gethostbyname) || defined (__stub___gethostbyname) -choke me -#else -char (*f) () = gethostbyname; -#endif -#ifdef __cplusplus -} -#endif - -int -main () -{ -return f != gethostbyname; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_gethostbyname=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_func_gethostbyname=no -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: $ac_cv_func_gethostbyname" >&5 -echo "${ECHO_T}$ac_cv_func_gethostbyname" >&6 -if test $ac_cv_func_gethostbyname = yes; then - : -else - echo "$as_me:$LINENO: checking for gethostbyname in -lnsl" >&5 -echo $ECHO_N "checking for gethostbyname in -lnsl... $ECHO_C" >&6 -if test "${ac_cv_lib_nsl_gethostbyname+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - ac_check_lib_save_LIBS=$LIBS -LIBS="-lnsl $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ char gethostbyname (); int main () { -gethostbyname (); +return gethostbyname (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_nsl_gethostbyname=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_nsl_gethostbyname=no + ac_cv_lib_nsl_gethostbyname=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_nsl_gethostbyname" >&5 -echo "${ECHO_T}$ac_cv_lib_nsl_gethostbyname" >&6 -if test $ac_cv_lib_nsl_gethostbyname = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_nsl_gethostbyname" >&5 +$as_echo "$ac_cv_lib_nsl_gethostbyname" >&6; } +if test "x$ac_cv_lib_nsl_gethostbyname" = xyes; then : LIBS="$LIBS -lnsl" fi @@ -5769,15 +4514,15 @@ fi LIBS="$LIBS$THREADS_LIBS" - echo "$as_me:$LINENO: checking how to build libraries" >&5 -echo $ECHO_N "checking how to build libraries... $ECHO_C" >&6 - # Check whether --enable-shared or --disable-shared was given. -if test "${enable_shared+set}" = set; then - enableval="$enable_shared" - tcl_ok=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking how to build libraries" >&5 +$as_echo_n "checking how to build libraries... " >&6; } + # Check whether --enable-shared was given. +if test "${enable_shared+set}" = set; then : + enableval=$enable_shared; tcl_ok=$enableval else tcl_ok=yes -fi; +fi + if test "${enable_shared+set}" = set; then enableval="$enable_shared" @@ -5787,17 +4532,15 @@ fi; fi if test "$tcl_ok" = "yes" ; then - echo "$as_me:$LINENO: result: shared" >&5 -echo "${ECHO_T}shared" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: shared" >&5 +$as_echo "shared" >&6; } SHARED_BUILD=1 else - echo "$as_me:$LINENO: result: static" >&5 -echo "${ECHO_T}static" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: static" >&5 +$as_echo "static" >&6; } SHARED_BUILD=0 -cat >>confdefs.h <<\_ACEOF -#define STATIC_BUILD 1 -_ACEOF +$as_echo "#define STATIC_BUILD 1" >>confdefs.h fi @@ -5809,10 +4552,10 @@ _ACEOF #-------------------------------------------------------------------- - echo "$as_me:$LINENO: checking for tclsh" >&5 -echo $ECHO_N "checking for tclsh... $ECHO_C" >&6 - if test "${ac_cv_path_tclsh+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for tclsh" >&5 +$as_echo_n "checking for tclsh... " >&6; } + if ${ac_cv_path_tclsh+:} false; then : + $as_echo_n "(cached) " >&6 else search_path=`echo ${PATH} | sed -e 's/:/ /g'` @@ -5833,13 +4576,13 @@ fi if test -f "$ac_cv_path_tclsh" ; then TCLSH_PROG="$ac_cv_path_tclsh" - echo "$as_me:$LINENO: result: $TCLSH_PROG" >&5 -echo "${ECHO_T}$TCLSH_PROG" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $TCLSH_PROG" >&5 +$as_echo "$TCLSH_PROG" >&6; } else # It is not an error if an installed version of Tcl can't be located. TCLSH_PROG="" - echo "$as_me:$LINENO: result: No tclsh found on PATH" >&5 -echo "${ECHO_T}No tclsh found on PATH" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: No tclsh found on PATH" >&5 +$as_echo "No tclsh found on PATH" >&6; } fi @@ -5852,363 +4595,98 @@ fi #------------------------------------------------------------------------ zlib_ok=yes -if test "${ac_cv_header_zlib_h+set}" = set; then - echo "$as_me:$LINENO: checking for zlib.h" >&5 -echo $ECHO_N "checking for zlib.h... $ECHO_C" >&6 -if test "${ac_cv_header_zlib_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: $ac_cv_header_zlib_h" >&5 -echo "${ECHO_T}$ac_cv_header_zlib_h" >&6 -else - # Is the header compilable? -echo "$as_me:$LINENO: checking zlib.h usability" >&5 -echo $ECHO_N "checking zlib.h usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 +ac_fn_c_check_header_mongrel "$LINENO" "zlib.h" "ac_cv_header_zlib_h" "$ac_includes_default" +if test "x$ac_cv_header_zlib_h" = xyes; then : -ac_header_compiler=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 + ac_fn_c_check_type "$LINENO" "gz_header" "ac_cv_type_gz_header" "#include +" +if test "x$ac_cv_type_gz_header" = xyes; then : -# Is the header present? -echo "$as_me:$LINENO: checking zlib.h presence" >&5 -echo $ECHO_N "checking zlib.h presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -_ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi else - ac_cpp_err=yes + zlib_ok=no fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes + else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - ac_header_preproc=no + zlib_ok=no fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: zlib.h: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: zlib.h: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: zlib.h: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: zlib.h: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: zlib.h: present but cannot be compiled" >&5 -echo "$as_me: WARNING: zlib.h: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: zlib.h: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: zlib.h: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: zlib.h: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: zlib.h: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: zlib.h: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: zlib.h: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: zlib.h: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: zlib.h: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: zlib.h: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: zlib.h: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for zlib.h" >&5 -echo $ECHO_N "checking for zlib.h... $ECHO_C" >&6 -if test "${ac_cv_header_zlib_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - ac_cv_header_zlib_h=$ac_header_preproc -fi -echo "$as_me:$LINENO: result: $ac_cv_header_zlib_h" >&5 -echo "${ECHO_T}$ac_cv_header_zlib_h" >&6 -fi -if test $ac_cv_header_zlib_h = yes; then +if test $zlib_ok = yes; then : - echo "$as_me:$LINENO: checking for gz_header" >&5 -echo $ECHO_N "checking for gz_header... $ECHO_C" >&6 -if test "${ac_cv_type_gz_header+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for library containing deflateSetHeader" >&5 +$as_echo_n "checking for library containing deflateSetHeader... " >&6; } +if ${ac_cv_search_deflateSetHeader+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + ac_func_search_save_LIBS=$LIBS +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -#include +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ +#ifdef __cplusplus +extern "C" +#endif +char deflateSetHeader (); int main () { -if ((gz_header *) 0) - return 0; -if (sizeof (gz_header)) - return 0; +return deflateSetHeader (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_type_gz_header=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_type_gz_header=no +for ac_lib in '' z; do + if test -z "$ac_lib"; then + ac_res="none required" + else + ac_res=-l$ac_lib + LIBS="-l$ac_lib $ac_func_search_save_LIBS" + fi + if ac_fn_c_try_link "$LINENO"; then : + ac_cv_search_deflateSetHeader=$ac_res fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext + if ${ac_cv_search_deflateSetHeader+:} false; then : + break fi -echo "$as_me:$LINENO: result: $ac_cv_type_gz_header" >&5 -echo "${ECHO_T}$ac_cv_type_gz_header" >&6 -if test $ac_cv_type_gz_header = yes; then - : +done +if ${ac_cv_search_deflateSetHeader+:} false; then : + else - zlib_ok=no + ac_cv_search_deflateSetHeader=no +fi +rm conftest.$ac_ext +LIBS=$ac_func_search_save_LIBS fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_search_deflateSetHeader" >&5 +$as_echo "$ac_cv_search_deflateSetHeader" >&6; } +ac_res=$ac_cv_search_deflateSetHeader +if test "$ac_res" != no; then : + test "$ac_res" = "none required" || LIBS="$ac_res $LIBS" else - zlib_ok=no + zlib_ok=no + fi +fi +if test $zlib_ok = no; then : -if test $zlib_ok = yes; then + ZLIB_OBJS=\${ZLIB_OBJS} - echo "$as_me:$LINENO: checking for library containing deflateSetHeader" >&5 -echo $ECHO_N "checking for library containing deflateSetHeader... $ECHO_C" >&6 -if test "${ac_cv_search_deflateSetHeader+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - ac_func_search_save_LIBS=$LIBS -ac_cv_search_deflateSetHeader=no -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char deflateSetHeader (); -int -main () -{ -deflateSetHeader (); - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_search_deflateSetHeader="none required" -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -if test "$ac_cv_search_deflateSetHeader" = no; then - for ac_lib in z; do - LIBS="-l$ac_lib $ac_func_search_save_LIBS" - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char deflateSetHeader (); -int -main () -{ -deflateSetHeader (); - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_search_deflateSetHeader="-l$ac_lib" -break -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext - done -fi -LIBS=$ac_func_search_save_LIBS -fi -echo "$as_me:$LINENO: result: $ac_cv_search_deflateSetHeader" >&5 -echo "${ECHO_T}$ac_cv_search_deflateSetHeader" >&6 -if test "$ac_cv_search_deflateSetHeader" != no; then - test "$ac_cv_search_deflateSetHeader" = "none required" || LIBS="$ac_cv_search_deflateSetHeader $LIBS" - -else - - zlib_ok=no - -fi - -fi - -if test $zlib_ok = no; then - - ZLIB_OBJS=\${ZLIB_OBJS} - - ZLIB_SRCS=\${ZLIB_SRCS} + ZLIB_SRCS=\${ZLIB_SRCS} ZLIB_INCLUDE=-I\${ZLIB_DIR} fi - -cat >>confdefs.h <<\_ACEOF -#define HAVE_ZLIB 1 -_ACEOF +$as_echo "#define HAVE_ZLIB 1" >>confdefs.h #-------------------------------------------------------------------- @@ -6220,10 +4698,10 @@ _ACEOF if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}ranlib", so it can be a program name with args. set dummy ${ac_tool_prefix}ranlib; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_RANLIB+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_RANLIB+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$RANLIB"; then ac_cv_prog_RANLIB="$RANLIB" # Let the user override the test. @@ -6233,35 +4711,37 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_RANLIB="${ac_tool_prefix}ranlib" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi RANLIB=$ac_cv_prog_RANLIB if test -n "$RANLIB"; then - echo "$as_me:$LINENO: result: $RANLIB" >&5 -echo "${ECHO_T}$RANLIB" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $RANLIB" >&5 +$as_echo "$RANLIB" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + fi if test -z "$ac_cv_prog_RANLIB"; then ac_ct_RANLIB=$RANLIB # Extract the first word of "ranlib", so it can be a program name with args. set dummy ranlib; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_ac_ct_RANLIB+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_RANLIB+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_RANLIB"; then ac_cv_prog_ac_ct_RANLIB="$ac_ct_RANLIB" # Let the user override the test. @@ -6271,28 +4751,38 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_RANLIB="ranlib" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS - test -z "$ac_cv_prog_ac_ct_RANLIB" && ac_cv_prog_ac_ct_RANLIB=":" fi fi ac_ct_RANLIB=$ac_cv_prog_ac_ct_RANLIB if test -n "$ac_ct_RANLIB"; then - echo "$as_me:$LINENO: result: $ac_ct_RANLIB" >&5 -echo "${ECHO_T}$ac_ct_RANLIB" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_RANLIB" >&5 +$as_echo "$ac_ct_RANLIB" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi - RANLIB=$ac_ct_RANLIB + if test "x$ac_ct_RANLIB" = x; then + RANLIB=":" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + RANLIB=$ac_ct_RANLIB + fi else RANLIB="$ac_cv_prog_RANLIB" fi @@ -6301,52 +4791,47 @@ fi # Step 0.a: Enable 64 bit support? - echo "$as_me:$LINENO: checking if 64bit support is requested" >&5 -echo $ECHO_N "checking if 64bit support is requested... $ECHO_C" >&6 - # Check whether --enable-64bit or --disable-64bit was given. -if test "${enable_64bit+set}" = set; then - enableval="$enable_64bit" - do64bit=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if 64bit support is requested" >&5 +$as_echo_n "checking if 64bit support is requested... " >&6; } + # Check whether --enable-64bit was given. +if test "${enable_64bit+set}" = set; then : + enableval=$enable_64bit; do64bit=$enableval else do64bit=no -fi; - echo "$as_me:$LINENO: result: $do64bit" >&5 -echo "${ECHO_T}$do64bit" >&6 +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $do64bit" >&5 +$as_echo "$do64bit" >&6; } # Step 0.b: Enable Solaris 64 bit VIS support? - echo "$as_me:$LINENO: checking if 64bit Sparc VIS support is requested" >&5 -echo $ECHO_N "checking if 64bit Sparc VIS support is requested... $ECHO_C" >&6 - # Check whether --enable-64bit-vis or --disable-64bit-vis was given. -if test "${enable_64bit_vis+set}" = set; then - enableval="$enable_64bit_vis" - do64bitVIS=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if 64bit Sparc VIS support is requested" >&5 +$as_echo_n "checking if 64bit Sparc VIS support is requested... " >&6; } + # Check whether --enable-64bit-vis was given. +if test "${enable_64bit_vis+set}" = set; then : + enableval=$enable_64bit_vis; do64bitVIS=$enableval else do64bitVIS=no -fi; - echo "$as_me:$LINENO: result: $do64bitVIS" >&5 -echo "${ECHO_T}$do64bitVIS" >&6 +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $do64bitVIS" >&5 +$as_echo "$do64bitVIS" >&6; } # Force 64bit on with VIS - if test "$do64bitVIS" = "yes"; then + if test "$do64bitVIS" = "yes"; then : do64bit=yes fi - # Step 0.c: Check if visibility support is available. Do this here so # that platform specific alternatives can be used below if this fails. - echo "$as_me:$LINENO: checking if compiler supports visibility \"hidden\"" >&5 -echo $ECHO_N "checking if compiler supports visibility \"hidden\"... $ECHO_C" >&6 -if test "${tcl_cv_cc_visibility_hidden+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if compiler supports visibility \"hidden\"" >&5 +$as_echo_n "checking if compiler supports visibility \"hidden\"... " >&6; } +if ${tcl_cv_cc_visibility_hidden+:} false; then : + $as_echo_n "(cached) " >&6 else hold_cflags=$CFLAGS; CFLAGS="$CFLAGS -Werror" - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ extern __attribute__((__visibility__("hidden"))) void f(void); @@ -6359,79 +4844,50 @@ f(); return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_cc_visibility_hidden=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_cc_visibility_hidden=no + tcl_cv_cc_visibility_hidden=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext CFLAGS=$hold_cflags fi -echo "$as_me:$LINENO: result: $tcl_cv_cc_visibility_hidden" >&5 -echo "${ECHO_T}$tcl_cv_cc_visibility_hidden" >&6 - if test $tcl_cv_cc_visibility_hidden = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_cc_visibility_hidden" >&5 +$as_echo "$tcl_cv_cc_visibility_hidden" >&6; } + if test $tcl_cv_cc_visibility_hidden = yes; then : -cat >>confdefs.h <<\_ACEOF -#define MODULE_SCOPE extern __attribute__((__visibility__("hidden"))) -_ACEOF +$as_echo "#define MODULE_SCOPE extern __attribute__((__visibility__(\"hidden\")))" >>confdefs.h -cat >>confdefs.h <<\_ACEOF -#define HAVE_HIDDEN 1 -_ACEOF +$as_echo "#define HAVE_HIDDEN 1" >>confdefs.h fi - # Step 0.d: Disable -rpath support? - echo "$as_me:$LINENO: checking if rpath support is requested" >&5 -echo $ECHO_N "checking if rpath support is requested... $ECHO_C" >&6 - # Check whether --enable-rpath or --disable-rpath was given. -if test "${enable_rpath+set}" = set; then - enableval="$enable_rpath" - doRpath=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if rpath support is requested" >&5 +$as_echo_n "checking if rpath support is requested... " >&6; } + # Check whether --enable-rpath was given. +if test "${enable_rpath+set}" = set; then : + enableval=$enable_rpath; doRpath=$enableval else doRpath=yes -fi; - echo "$as_me:$LINENO: result: $doRpath" >&5 -echo "${ECHO_T}$doRpath" >&6 +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $doRpath" >&5 +$as_echo "$doRpath" >&6; } # Step 1: set the variable "system" to hold the name and version number # for the system. - echo "$as_me:$LINENO: checking system version" >&5 -echo $ECHO_N "checking system version... $ECHO_C" >&6 -if test "${tcl_cv_sys_version+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking system version" >&5 +$as_echo_n "checking system version... " >&6; } +if ${tcl_cv_sys_version+:} false; then : + $as_echo_n "(cached) " >&6 else if test -f /usr/lib/NextStep/software_version; then @@ -6439,8 +4895,8 @@ else else tcl_cv_sys_version=`uname -s`-`uname -r` if test "$?" -ne 0 ; then - { echo "$as_me:$LINENO: WARNING: can't find uname command" >&5 -echo "$as_me: WARNING: can't find uname command" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: can't find uname command" >&5 +$as_echo "$as_me: WARNING: can't find uname command" >&2;} tcl_cv_sys_version=unknown else # Special check for weird MP-RAS system (uname returns weird @@ -6456,79 +4912,51 @@ echo "$as_me: WARNING: can't find uname command" >&2;} fi fi -echo "$as_me:$LINENO: result: $tcl_cv_sys_version" >&5 -echo "${ECHO_T}$tcl_cv_sys_version" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_sys_version" >&5 +$as_echo "$tcl_cv_sys_version" >&6; } system=$tcl_cv_sys_version # Step 2: check for existence of -ldl library. This is needed because # Linux can use either -ldl or -ldld for dynamic loading. - echo "$as_me:$LINENO: checking for dlopen in -ldl" >&5 -echo $ECHO_N "checking for dlopen in -ldl... $ECHO_C" >&6 -if test "${ac_cv_lib_dl_dlopen+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for dlopen in -ldl" >&5 +$as_echo_n "checking for dlopen in -ldl... " >&6; } +if ${ac_cv_lib_dl_dlopen+:} false; then : + $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-ldl $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" #endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ char dlopen (); int main () { -dlopen (); +return dlopen (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_dl_dlopen=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_dl_dlopen=no + ac_cv_lib_dl_dlopen=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_dl_dlopen" >&5 -echo "${ECHO_T}$ac_cv_lib_dl_dlopen" >&6 -if test $ac_cv_lib_dl_dlopen = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_dl_dlopen" >&5 +$as_echo "$ac_cv_lib_dl_dlopen" >&6; } +if test "x$ac_cv_lib_dl_dlopen" = xyes; then : have_dl=yes else have_dl=no @@ -6554,7 +4982,7 @@ fi ECHO_VERSION='`echo ${VERSION}`' TCL_LIB_VERSIONS_OK=ok CFLAGS_DEBUG=-g - if test "$GCC" = yes; then + if test "$GCC" = yes; then : CFLAGS_OPTIMIZE=-O2 CFLAGS_WARNING="-Wall" @@ -6565,14 +4993,13 @@ else CFLAGS_WARNING="" fi - if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}ar", so it can be a program name with args. set dummy ${ac_tool_prefix}ar; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_AR+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_AR+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$AR"; then ac_cv_prog_AR="$AR" # Let the user override the test. @@ -6582,35 +5009,37 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_AR="${ac_tool_prefix}ar" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi AR=$ac_cv_prog_AR if test -n "$AR"; then - echo "$as_me:$LINENO: result: $AR" >&5 -echo "${ECHO_T}$AR" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $AR" >&5 +$as_echo "$AR" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + fi if test -z "$ac_cv_prog_AR"; then ac_ct_AR=$AR # Extract the first word of "ar", so it can be a program name with args. set dummy ar; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_ac_ct_AR+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_AR+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_AR"; then ac_cv_prog_ac_ct_AR="$ac_ct_AR" # Let the user override the test. @@ -6620,27 +5049,38 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_AR="ar" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi ac_ct_AR=$ac_cv_prog_ac_ct_AR if test -n "$ac_ct_AR"; then - echo "$as_me:$LINENO: result: $ac_ct_AR" >&5 -echo "${ECHO_T}$ac_ct_AR" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_AR" >&5 +$as_echo "$ac_ct_AR" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi - AR=$ac_ct_AR + if test "x$ac_ct_AR" = x; then + AR="" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + AR=$ac_ct_AR + fi else AR="$ac_cv_prog_AR" fi @@ -6650,13 +5090,12 @@ fi PLAT_OBJS="" PLAT_SRCS="" LDAIX_SRC="" - if test x"${SHLIB_VERSION}" = x; then + if test x"${SHLIB_VERSION}" = x; then : SHLIB_VERSION="1.0" fi - case $system in AIX-*) - if test "${TCL_THREADS}" = "1" -a "$GCC" != "yes"; then + if test "${TCL_THREADS}" = "1" -a "$GCC" != "yes"; then : # AIX requires the _r compiler when gcc isn't being used case "${CC}" in @@ -6668,11 +5107,10 @@ fi CC=`echo "$CC" | sed -e 's/^\([^ ]*\)/\1_r/'` ;; esac - echo "$as_me:$LINENO: result: Using $CC for compiling with threads" >&5 -echo "${ECHO_T}Using $CC for compiling with threads" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: Using $CC for compiling with threads" >&5 +$as_echo "Using $CC for compiling with threads" >&6; } fi - LIBS="$LIBS -lc" SHLIB_CFLAGS="" SHLIB_SUFFIX=".so" @@ -6685,12 +5123,12 @@ fi LDAIX_SRC='$(UNIX_DIR)/ldAix' # Check to enable 64-bit flags for compiler/linker - if test "$do64bit" = yes; then + if test "$do64bit" = yes; then : - if test "$GCC" = yes; then + if test "$GCC" = yes; then : - { echo "$as_me:$LINENO: WARNING: 64bit mode not supported with GCC on $system" >&5 -echo "$as_me: WARNING: 64bit mode not supported with GCC on $system" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: 64bit mode not supported with GCC on $system" >&5 +$as_echo "$as_me: WARNING: 64bit mode not supported with GCC on $system" >&2;} else @@ -6703,17 +5141,15 @@ else fi - fi - - if test "`uname -m`" = ia64; then + if test "`uname -m`" = ia64; then : # AIX-5 uses ELF style dynamic libraries on IA-64, but not PPC SHLIB_LD="/usr/ccs/bin/ld -G -z text" # AIX-5 has dl* in libc.so DL_LIBS="" - if test "$GCC" = yes; then + if test "$GCC" = yes; then : CC_SEARCH_FLAGS='-Wl,-R,${LIB_RUNTIME_DIR}' @@ -6722,12 +5158,11 @@ else CC_SEARCH_FLAGS='-R${LIB_RUNTIME_DIR}' fi - LD_SEARCH_FLAGS='-R ${LIB_RUNTIME_DIR}' else - if test "$GCC" = yes; then + if test "$GCC" = yes; then : SHLIB_LD='${CC} -shared -Wl,-bexpall' @@ -6737,14 +5172,12 @@ else LDFLAGS="$LDFLAGS -brtl" fi - SHLIB_LD="${SHLIB_LD} ${SHLIB_LD_FLAGS}" DL_LIBS="-ldl" CC_SEARCH_FLAGS='-L${LIB_RUNTIME_DIR}' LD_SEARCH_FLAGS=${CC_SEARCH_FLAGS} fi - ;; BeOS*) SHLIB_CFLAGS="-fPIC" @@ -6758,71 +5191,43 @@ fi # -lsocket, even if the network functions are in -lnet which # is always linked to, for compatibility. #----------------------------------------------------------- - echo "$as_me:$LINENO: checking for inet_ntoa in -lbind" >&5 -echo $ECHO_N "checking for inet_ntoa in -lbind... $ECHO_C" >&6 -if test "${ac_cv_lib_bind_inet_ntoa+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for inet_ntoa in -lbind" >&5 +$as_echo_n "checking for inet_ntoa in -lbind... " >&6; } +if ${ac_cv_lib_bind_inet_ntoa+:} false; then : + $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-lbind $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" #endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ char inet_ntoa (); int main () { -inet_ntoa (); +return inet_ntoa (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_bind_inet_ntoa=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_bind_inet_ntoa=no + ac_cv_lib_bind_inet_ntoa=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_bind_inet_ntoa" >&5 -echo "${ECHO_T}$ac_cv_lib_bind_inet_ntoa" >&6 -if test $ac_cv_lib_bind_inet_ntoa = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_bind_inet_ntoa" >&5 +$as_echo "$ac_cv_lib_bind_inet_ntoa" >&6; } +if test "x$ac_cv_lib_bind_inet_ntoa" = xyes; then : LIBS="$LIBS -lbind -lsocket" fi @@ -6859,16 +5264,12 @@ fi TCL_NEEDS_EXP_FILE=1 TCL_EXPORT_FILE_SUFFIX='${VERSION}\$\{DBGX\}.dll.a' SHLIB_LD_LIBS="${SHLIB_LD_LIBS} -Wl,--out-implib,\$@.a" - echo "$as_me:$LINENO: checking for Cygwin version of gcc" >&5 -echo $ECHO_N "checking for Cygwin version of gcc... $ECHO_C" >&6 -if test "${ac_cv_cygwin+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for Cygwin version of gcc" >&5 +$as_echo_n "checking for Cygwin version of gcc... " >&6; } +if ${ac_cv_cygwin+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifdef __CYGWIN__ @@ -6883,49 +5284,21 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : ac_cv_cygwin=no else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_cygwin=yes + ac_cv_cygwin=yes fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_cygwin" >&5 -echo "${ECHO_T}$ac_cv_cygwin" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_cygwin" >&5 +$as_echo "$ac_cv_cygwin" >&6; } if test "$ac_cv_cygwin" = "no"; then - { { echo "$as_me:$LINENO: error: ${CC} is not a cygwin compiler." >&5 -echo "$as_me: error: ${CC} is not a cygwin compiler." >&2;} - { (exit 1); exit 1; }; } + as_fn_error $? "${CC} is not a cygwin compiler." "$LINENO" 5 fi if test "x${TCL_THREADS}" = "x0"; then - { { echo "$as_me:$LINENO: error: CYGWIN compile is only supported with --enable-threads" >&5 -echo "$as_me: error: CYGWIN compile is only supported with --enable-threads" >&2;} - { (exit 1); exit 1; }; } + as_fn_error $? "CYGWIN compile is only supported with --enable-threads" "$LINENO" 5 fi do64bit_ok=yes if test "x${SHARED_BUILD}" = "x1"; then @@ -6955,71 +5328,43 @@ echo "$as_me: error: CYGWIN compile is only supported with --enable-threads" >&2 SHLIB_LD='${CC} -shared ${CFLAGS} ${LDFLAGS}' DL_OBJS="tclLoadDl.o" DL_LIBS="-lroot" - echo "$as_me:$LINENO: checking for inet_ntoa in -lnetwork" >&5 -echo $ECHO_N "checking for inet_ntoa in -lnetwork... $ECHO_C" >&6 -if test "${ac_cv_lib_network_inet_ntoa+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for inet_ntoa in -lnetwork" >&5 +$as_echo_n "checking for inet_ntoa in -lnetwork... " >&6; } +if ${ac_cv_lib_network_inet_ntoa+:} false; then : + $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-lnetwork $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" #endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ char inet_ntoa (); int main () { -inet_ntoa (); +return inet_ntoa (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_network_inet_ntoa=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_network_inet_ntoa=no + ac_cv_lib_network_inet_ntoa=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_network_inet_ntoa" >&5 -echo "${ECHO_T}$ac_cv_lib_network_inet_ntoa" >&6 -if test $ac_cv_lib_network_inet_ntoa = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_network_inet_ntoa" >&5 +$as_echo "$ac_cv_lib_network_inet_ntoa" >&6; } +if test "x$ac_cv_lib_network_inet_ntoa" = xyes; then : LIBS="$LIBS -lnetwork" fi @@ -7027,18 +5372,14 @@ fi HP-UX-*.11.*) # Use updated header definitions where possible -cat >>confdefs.h <<\_ACEOF -#define _XOPEN_SOURCE_EXTENDED 1 -_ACEOF +$as_echo "#define _XOPEN_SOURCE_EXTENDED 1" >>confdefs.h -cat >>confdefs.h <<\_ACEOF -#define _XOPEN_SOURCE 1 -_ACEOF +$as_echo "#define _XOPEN_SOURCE 1" >>confdefs.h LIBS="$LIBS -lxnet" # Use the XOPEN network library - if test "`uname -m`" = ia64; then + if test "`uname -m`" = ia64; then : SHLIB_SUFFIX=".so" @@ -7047,78 +5388,49 @@ else SHLIB_SUFFIX=".sl" fi - - echo "$as_me:$LINENO: checking for shl_load in -ldld" >&5 -echo $ECHO_N "checking for shl_load in -ldld... $ECHO_C" >&6 -if test "${ac_cv_lib_dld_shl_load+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for shl_load in -ldld" >&5 +$as_echo_n "checking for shl_load in -ldld... " >&6; } +if ${ac_cv_lib_dld_shl_load+:} false; then : + $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-ldld $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" #endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ char shl_load (); int main () { -shl_load (); +return shl_load (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_dld_shl_load=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_dld_shl_load=no + ac_cv_lib_dld_shl_load=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_dld_shl_load" >&5 -echo "${ECHO_T}$ac_cv_lib_dld_shl_load" >&6 -if test $ac_cv_lib_dld_shl_load = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_dld_shl_load" >&5 +$as_echo "$ac_cv_lib_dld_shl_load" >&6; } +if test "x$ac_cv_lib_dld_shl_load" = xyes; then : tcl_ok=yes else tcl_ok=no fi - if test "$tcl_ok" = yes; then + if test "$tcl_ok" = yes; then : SHLIB_CFLAGS="+z" SHLIB_LD="ld -b" @@ -7130,8 +5442,7 @@ fi LD_LIBRARY_PATH_VAR="SHLIB_PATH" fi - - if test "$GCC" = yes; then + if test "$GCC" = yes; then : SHLIB_LD='${CC} -shared' LD_SEARCH_FLAGS=${CC_SEARCH_FLAGS} @@ -7142,30 +5453,28 @@ else fi - # Users may want PA-RISC 1.1/2.0 portable code - needs HP cc #CFLAGS="$CFLAGS +DAportable" # Check to enable 64-bit flags for compiler/linker - if test "$do64bit" = "yes"; then + if test "$do64bit" = "yes"; then : - if test "$GCC" = yes; then + if test "$GCC" = yes; then : case `${CC} -dumpmachine` in hppa64*) # 64-bit gcc in use. Fix flags for GNU ld. do64bit_ok=yes SHLIB_LD='${CC} -shared' - if test $doRpath = yes; then + if test $doRpath = yes; then : CC_SEARCH_FLAGS='-Wl,-rpath,${LIB_RUNTIME_DIR}' fi - LD_SEARCH_FLAGS=${CC_SEARCH_FLAGS} ;; *) - { echo "$as_me:$LINENO: WARNING: 64bit mode not supported with GCC on $system" >&5 -echo "$as_me: WARNING: 64bit mode not supported with GCC on $system" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: 64bit mode not supported with GCC on $system" >&5 +$as_echo "$as_me: WARNING: 64bit mode not supported with GCC on $system" >&2;} ;; esac @@ -7177,82 +5486,52 @@ else fi - -fi - ;; +fi ;; HP-UX-*.08.*|HP-UX-*.09.*|HP-UX-*.10.*) SHLIB_SUFFIX=".sl" - echo "$as_me:$LINENO: checking for shl_load in -ldld" >&5 -echo $ECHO_N "checking for shl_load in -ldld... $ECHO_C" >&6 -if test "${ac_cv_lib_dld_shl_load+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for shl_load in -ldld" >&5 +$as_echo_n "checking for shl_load in -ldld... " >&6; } +if ${ac_cv_lib_dld_shl_load+:} false; then : + $as_echo_n "(cached) " >&6 else ac_check_lib_save_LIBS=$LIBS LIBS="-ldld $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ #ifdef __cplusplus extern "C" #endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ char shl_load (); int main () { -shl_load (); +return shl_load (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_lib_dld_shl_load=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_dld_shl_load=no + ac_cv_lib_dld_shl_load=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $ac_cv_lib_dld_shl_load" >&5 -echo "${ECHO_T}$ac_cv_lib_dld_shl_load" >&6 -if test $ac_cv_lib_dld_shl_load = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_dld_shl_load" >&5 +$as_echo "$ac_cv_lib_dld_shl_load" >&6; } +if test "x$ac_cv_lib_dld_shl_load" = xyes; then : tcl_ok=yes else tcl_ok=no fi - if test "$tcl_ok" = yes; then + if test "$tcl_ok" = yes; then : SHLIB_CFLAGS="+z" SHLIB_LD="ld -b" @@ -7264,28 +5543,24 @@ fi LD_SEARCH_FLAGS='+s +b ${LIB_RUNTIME_DIR}:.' LD_LIBRARY_PATH_VAR="SHLIB_PATH" -fi - ;; +fi ;; IRIX-5.*) SHLIB_CFLAGS="" SHLIB_LD="ld -shared -rdata_shared" SHLIB_SUFFIX=".so" DL_OBJS="tclLoadDl.o" DL_LIBS="" - case $LIBOBJS in - "mkstemp.$ac_objext" | \ - *" mkstemp.$ac_objext" | \ - "mkstemp.$ac_objext "* | \ + case " $LIBOBJS " in *" mkstemp.$ac_objext "* ) ;; - *) LIBOBJS="$LIBOBJS mkstemp.$ac_objext" ;; + *) LIBOBJS="$LIBOBJS mkstemp.$ac_objext" + ;; esac - if test $doRpath = yes; then + if test $doRpath = yes; then : CC_SEARCH_FLAGS='-Wl,-rpath,${LIB_RUNTIME_DIR}' LD_SEARCH_FLAGS='-rpath ${LIB_RUNTIME_DIR}' fi - ;; IRIX-6.*) SHLIB_CFLAGS="" @@ -7293,21 +5568,18 @@ fi SHLIB_SUFFIX=".so" DL_OBJS="tclLoadDl.o" DL_LIBS="" - case $LIBOBJS in - "mkstemp.$ac_objext" | \ - *" mkstemp.$ac_objext" | \ - "mkstemp.$ac_objext "* | \ + case " $LIBOBJS " in *" mkstemp.$ac_objext "* ) ;; - *) LIBOBJS="$LIBOBJS mkstemp.$ac_objext" ;; + *) LIBOBJS="$LIBOBJS mkstemp.$ac_objext" + ;; esac - if test $doRpath = yes; then + if test $doRpath = yes; then : CC_SEARCH_FLAGS='-Wl,-rpath,${LIB_RUNTIME_DIR}' LD_SEARCH_FLAGS='-rpath ${LIB_RUNTIME_DIR}' fi - - if test "$GCC" = yes; then + if test "$GCC" = yes; then : CFLAGS="$CFLAGS -mabi=n32" LDFLAGS="$LDFLAGS -mabi=n32" @@ -7326,7 +5598,6 @@ else LDFLAGS="$LDFLAGS -n32" fi - ;; IRIX64-6.*) SHLIB_CFLAGS="" @@ -7334,29 +5605,26 @@ fi SHLIB_SUFFIX=".so" DL_OBJS="tclLoadDl.o" DL_LIBS="" - case $LIBOBJS in - "mkstemp.$ac_objext" | \ - *" mkstemp.$ac_objext" | \ - "mkstemp.$ac_objext "* | \ + case " $LIBOBJS " in *" mkstemp.$ac_objext "* ) ;; - *) LIBOBJS="$LIBOBJS mkstemp.$ac_objext" ;; + *) LIBOBJS="$LIBOBJS mkstemp.$ac_objext" + ;; esac - if test $doRpath = yes; then + if test $doRpath = yes; then : CC_SEARCH_FLAGS='-Wl,-rpath,${LIB_RUNTIME_DIR}' LD_SEARCH_FLAGS='-rpath ${LIB_RUNTIME_DIR}' fi - # Check to enable 64-bit flags for compiler/linker - if test "$do64bit" = yes; then + if test "$do64bit" = yes; then : - if test "$GCC" = yes; then + if test "$GCC" = yes; then : - { echo "$as_me:$LINENO: WARNING: 64bit mode not supported by gcc" >&5 -echo "$as_me: WARNING: 64bit mode not supported by gcc" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: 64bit mode not supported by gcc" >&5 +$as_echo "$as_me: WARNING: 64bit mode not supported by gcc" >&2;} else @@ -7367,9 +5635,7 @@ else fi - fi - ;; Linux*|GNU*|NetBSD-Debian) SHLIB_CFLAGS="-fPIC" @@ -7385,31 +5651,25 @@ fi DL_OBJS="tclLoadDl.o" DL_LIBS="-ldl" LDFLAGS="$LDFLAGS -Wl,--export-dynamic" - if test $doRpath = yes; then + if test $doRpath = yes; then : CC_SEARCH_FLAGS='-Wl,-rpath,${LIB_RUNTIME_DIR}' fi - LD_SEARCH_FLAGS=${CC_SEARCH_FLAGS} - if test "`uname -m`" = "alpha"; then + if test "`uname -m`" = "alpha"; then : CFLAGS="$CFLAGS -mieee" fi + if test $do64bit = yes; then : - if test $do64bit = yes; then - - echo "$as_me:$LINENO: checking if compiler accepts -m64 flag" >&5 -echo $ECHO_N "checking if compiler accepts -m64 flag... $ECHO_C" >&6 -if test "${tcl_cv_cc_m64+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if compiler accepts -m64 flag" >&5 +$as_echo_n "checking if compiler accepts -m64 flag... " >&6; } +if ${tcl_cv_cc_m64+:} false; then : + $as_echo_n "(cached) " >&6 else hold_cflags=$CFLAGS CFLAGS="$CFLAGS -m64" - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -7420,62 +5680,35 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_cc_m64=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_cc_m64=no + tcl_cv_cc_m64=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext CFLAGS=$hold_cflags fi -echo "$as_me:$LINENO: result: $tcl_cv_cc_m64" >&5 -echo "${ECHO_T}$tcl_cv_cc_m64" >&6 - if test $tcl_cv_cc_m64 = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_cc_m64" >&5 +$as_echo "$tcl_cv_cc_m64" >&6; } + if test $tcl_cv_cc_m64 = yes; then : CFLAGS="$CFLAGS -m64" do64bit_ok=yes fi - fi - # The combo of gcc + glibc has a bug related to inlining of # functions like strtod(). The -fno-builtin flag should address # this problem but it does not work. The -fno-inline flag is kind # of overkill but it works. Disable inlining only when one of the # files in compat/*.c is being linked in. - if test x"${USE_COMPAT}" != x; then + if test x"${USE_COMPAT}" != x; then : CFLAGS="$CFLAGS -fno-inline" fi - ;; Lynx*) SHLIB_CFLAGS="-fPIC" @@ -7485,12 +5718,11 @@ fi DL_OBJS="tclLoadDl.o" DL_LIBS="-mshared -ldl" LD_FLAGS="-Wl,--export-dynamic" - if test $doRpath = yes; then + if test $doRpath = yes; then : CC_SEARCH_FLAGS='-Wl,-rpath,${LIB_RUNTIME_DIR}' LD_SEARCH_FLAGS='-Wl,-rpath,${LIB_RUNTIME_DIR}' fi - ;; MP-RAS-02*) SHLIB_CFLAGS="-K PIC" @@ -7536,11 +5768,10 @@ fi SHLIB_SUFFIX=".so" DL_OBJS="tclLoadDl.o" DL_LIBS="" - if test $doRpath = yes; then + if test $doRpath = yes; then : CC_SEARCH_FLAGS='-Wl,-rpath,${LIB_RUNTIME_DIR}' fi - LD_SEARCH_FLAGS=${CC_SEARCH_FLAGS} SHARED_LIB_SUFFIX='${TCL_TRIM_DOTS}.so.${SHLIB_VERSION}' LDFLAGS="-Wl,-export-dynamic" @@ -7557,7 +5788,7 @@ fi CFLAGS_OPTIMIZE="-O2" ;; esac - if test "${TCL_THREADS}" = "1"; then + if test "${TCL_THREADS}" = "1"; then : # On OpenBSD: Compile with -pthread # Don't link with -lpthread @@ -7565,7 +5796,6 @@ fi CFLAGS="$CFLAGS -pthread" fi - # OpenBSD doesn't do version numbers with dots. UNSHARED_LIB_SUFFIX='${TCL_TRIM_DOTS}.a' TCL_LIB_VERSIONS_OK=nodots @@ -7578,13 +5808,12 @@ fi DL_OBJS="tclLoadDl.o" DL_LIBS="" LDFLAGS="$LDFLAGS -export-dynamic" - if test $doRpath = yes; then + if test $doRpath = yes; then : CC_SEARCH_FLAGS='-Wl,-rpath,${LIB_RUNTIME_DIR}' fi - LD_SEARCH_FLAGS=${CC_SEARCH_FLAGS} - if test "${TCL_THREADS}" = "1"; then + if test "${TCL_THREADS}" = "1"; then : # The -pthread needs to go in the CFLAGS, not LIBS LIBS=`echo $LIBS | sed s/-pthread//` @@ -7592,7 +5821,6 @@ fi LDFLAGS="$LDFLAGS -pthread" fi - ;; FreeBSD-*) # This configuration from FreeBSD Ports. @@ -7603,20 +5831,18 @@ fi DL_OBJS="tclLoadDl.o" DL_LIBS="" LDFLAGS="" - if test $doRpath = yes; then + if test $doRpath = yes; then : CC_SEARCH_FLAGS='-Wl,-rpath,${LIB_RUNTIME_DIR}' LD_SEARCH_FLAGS='-Wl,-rpath,${LIB_RUNTIME_DIR}' fi - - if test "${TCL_THREADS}" = "1"; then + if test "${TCL_THREADS}" = "1"; then : # The -pthread needs to go in the LDFLAGS, not LIBS LIBS=`echo $LIBS | sed s/-pthread//` CFLAGS="$CFLAGS $PTHREAD_CFLAGS" LDFLAGS="$LDFLAGS $PTHREAD_LIBS" fi - case $system in FreeBSD-3.*) # Version numbers are dot-stripped by system policy. @@ -7639,23 +5865,19 @@ fi CFLAGS="`echo " ${CFLAGS}" | \ awk 'BEGIN {FS=" +-";ORS=" "}; {for (i=2;i<=NF;i++) \ if (!($i~/^(isysroot|mmacosx-version-min)/)) print "-"$i}'`" - if test $do64bit = yes; then + if test $do64bit = yes; then : case `arch` in ppc) - echo "$as_me:$LINENO: checking if compiler accepts -arch ppc64 flag" >&5 -echo $ECHO_N "checking if compiler accepts -arch ppc64 flag... $ECHO_C" >&6 -if test "${tcl_cv_cc_arch_ppc64+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if compiler accepts -arch ppc64 flag" >&5 +$as_echo_n "checking if compiler accepts -arch ppc64 flag... " >&6; } +if ${tcl_cv_cc_arch_ppc64+:} false; then : + $as_echo_n "(cached) " >&6 else hold_cflags=$CFLAGS CFLAGS="$CFLAGS -arch ppc64 -mpowerpc64 -mcpu=G5" - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -7666,62 +5888,33 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_cc_arch_ppc64=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_cc_arch_ppc64=no + tcl_cv_cc_arch_ppc64=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext CFLAGS=$hold_cflags fi -echo "$as_me:$LINENO: result: $tcl_cv_cc_arch_ppc64" >&5 -echo "${ECHO_T}$tcl_cv_cc_arch_ppc64" >&6 - if test $tcl_cv_cc_arch_ppc64 = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_cc_arch_ppc64" >&5 +$as_echo "$tcl_cv_cc_arch_ppc64" >&6; } + if test $tcl_cv_cc_arch_ppc64 = yes; then : CFLAGS="$CFLAGS -arch ppc64 -mpowerpc64 -mcpu=G5" do64bit_ok=yes -fi -;; +fi;; i386) - echo "$as_me:$LINENO: checking if compiler accepts -arch x86_64 flag" >&5 -echo $ECHO_N "checking if compiler accepts -arch x86_64 flag... $ECHO_C" >&6 -if test "${tcl_cv_cc_arch_x86_64+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if compiler accepts -arch x86_64 flag" >&5 +$as_echo_n "checking if compiler accepts -arch x86_64 flag... " >&6; } +if ${tcl_cv_cc_arch_x86_64+:} false; then : + $as_echo_n "(cached) " >&6 else hold_cflags=$CFLAGS CFLAGS="$CFLAGS -arch x86_64" - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -7732,79 +5925,48 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_cc_arch_x86_64=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_cc_arch_x86_64=no + tcl_cv_cc_arch_x86_64=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext CFLAGS=$hold_cflags fi -echo "$as_me:$LINENO: result: $tcl_cv_cc_arch_x86_64" >&5 -echo "${ECHO_T}$tcl_cv_cc_arch_x86_64" >&6 - if test $tcl_cv_cc_arch_x86_64 = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_cc_arch_x86_64" >&5 +$as_echo "$tcl_cv_cc_arch_x86_64" >&6; } + if test $tcl_cv_cc_arch_x86_64 = yes; then : CFLAGS="$CFLAGS -arch x86_64" do64bit_ok=yes -fi -;; +fi;; *) - { echo "$as_me:$LINENO: WARNING: Don't know how enable 64-bit on architecture \`arch\`" >&5 -echo "$as_me: WARNING: Don't know how enable 64-bit on architecture \`arch\`" >&2;};; + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: Don't know how enable 64-bit on architecture \`arch\`" >&5 +$as_echo "$as_me: WARNING: Don't know how enable 64-bit on architecture \`arch\`" >&2;};; esac else # Check for combined 32-bit and 64-bit fat build if echo "$CFLAGS " |grep -E -q -- '-arch (ppc64|x86_64) ' \ - && echo "$CFLAGS " |grep -E -q -- '-arch (ppc|i386) '; then + && echo "$CFLAGS " |grep -E -q -- '-arch (ppc|i386) '; then : fat_32_64=yes fi - fi - SHLIB_LD='${CC} -dynamiclib ${CFLAGS} ${LDFLAGS}' - echo "$as_me:$LINENO: checking if ld accepts -single_module flag" >&5 -echo $ECHO_N "checking if ld accepts -single_module flag... $ECHO_C" >&6 -if test "${tcl_cv_ld_single_module+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if ld accepts -single_module flag" >&5 +$as_echo_n "checking if ld accepts -single_module flag... " >&6; } +if ${tcl_cv_ld_single_module+:} false; then : + $as_echo_n "(cached) " >&6 else hold_ldflags=$LDFLAGS LDFLAGS="$LDFLAGS -dynamiclib -Wl,-single_module" - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -7815,71 +5977,41 @@ int i; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_ld_single_module=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_ld_single_module=no + tcl_cv_ld_single_module=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LDFLAGS=$hold_ldflags fi -echo "$as_me:$LINENO: result: $tcl_cv_ld_single_module" >&5 -echo "${ECHO_T}$tcl_cv_ld_single_module" >&6 - if test $tcl_cv_ld_single_module = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_ld_single_module" >&5 +$as_echo "$tcl_cv_ld_single_module" >&6; } + if test $tcl_cv_ld_single_module = yes; then : SHLIB_LD="${SHLIB_LD} -Wl,-single_module" fi - SHLIB_SUFFIX=".dylib" DL_OBJS="tclLoadDyld.o" DL_LIBS="" # Don't use -prebind when building for Mac OS X 10.4 or later only: if test "`echo "${MACOSX_DEPLOYMENT_TARGET}" | awk -F '10\\.' '{print int($2)}'`" -lt 4 -a \ - "`echo "${CPPFLAGS}" | awk -F '-mmacosx-version-min=10\\.' '{print int($2)}'`" -lt 4; then + "`echo "${CPPFLAGS}" | awk -F '-mmacosx-version-min=10\\.' '{print int($2)}'`" -lt 4; then : LDFLAGS="$LDFLAGS -prebind" fi - LDFLAGS="$LDFLAGS -headerpad_max_install_names" - echo "$as_me:$LINENO: checking if ld accepts -search_paths_first flag" >&5 -echo $ECHO_N "checking if ld accepts -search_paths_first flag... $ECHO_C" >&6 -if test "${tcl_cv_ld_search_paths_first+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if ld accepts -search_paths_first flag" >&5 +$as_echo_n "checking if ld accepts -search_paths_first flag... " >&6; } +if ${tcl_cv_ld_search_paths_first+:} false; then : + $as_echo_n "(cached) " >&6 else hold_ldflags=$LDFLAGS LDFLAGS="$LDFLAGS -Wl,-search_paths_first" - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -7890,88 +6022,58 @@ int i; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_ld_search_paths_first=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_ld_search_paths_first=no + tcl_cv_ld_search_paths_first=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LDFLAGS=$hold_ldflags fi -echo "$as_me:$LINENO: result: $tcl_cv_ld_search_paths_first" >&5 -echo "${ECHO_T}$tcl_cv_ld_search_paths_first" >&6 - if test $tcl_cv_ld_search_paths_first = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_ld_search_paths_first" >&5 +$as_echo "$tcl_cv_ld_search_paths_first" >&6; } + if test $tcl_cv_ld_search_paths_first = yes; then : LDFLAGS="$LDFLAGS -Wl,-search_paths_first" fi + if test "$tcl_cv_cc_visibility_hidden" != yes; then : - if test "$tcl_cv_cc_visibility_hidden" != yes; then - -cat >>confdefs.h <<\_ACEOF -#define MODULE_SCOPE __private_extern__ -_ACEOF +$as_echo "#define MODULE_SCOPE __private_extern__" >>confdefs.h fi - CC_SEARCH_FLAGS="" LD_SEARCH_FLAGS="" LD_LIBRARY_PATH_VAR="DYLD_LIBRARY_PATH" -cat >>confdefs.h <<\_ACEOF -#define MAC_OSX_TCL 1 -_ACEOF +$as_echo "#define MAC_OSX_TCL 1" >>confdefs.h PLAT_OBJS='${MAC_OSX_OBJS}' PLAT_SRCS='${MAC_OSX_SRCS}' - echo "$as_me:$LINENO: checking whether to use CoreFoundation" >&5 -echo $ECHO_N "checking whether to use CoreFoundation... $ECHO_C" >&6 - # Check whether --enable-corefoundation or --disable-corefoundation was given. -if test "${enable_corefoundation+set}" = set; then - enableval="$enable_corefoundation" - tcl_corefoundation=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether to use CoreFoundation" >&5 +$as_echo_n "checking whether to use CoreFoundation... " >&6; } + # Check whether --enable-corefoundation was given. +if test "${enable_corefoundation+set}" = set; then : + enableval=$enable_corefoundation; tcl_corefoundation=$enableval else tcl_corefoundation=yes -fi; - echo "$as_me:$LINENO: result: $tcl_corefoundation" >&5 -echo "${ECHO_T}$tcl_corefoundation" >&6 - if test $tcl_corefoundation = yes; then +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_corefoundation" >&5 +$as_echo "$tcl_corefoundation" >&6; } + if test $tcl_corefoundation = yes; then : - echo "$as_me:$LINENO: checking for CoreFoundation.framework" >&5 -echo $ECHO_N "checking for CoreFoundation.framework... $ECHO_C" >&6 -if test "${tcl_cv_lib_corefoundation+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for CoreFoundation.framework" >&5 +$as_echo_n "checking for CoreFoundation.framework... " >&6; } +if ${tcl_cv_lib_corefoundation+:} false; then : + $as_echo_n "(cached) " >&6 else hold_libs=$LIBS - if test "$fat_32_64" = yes; then + if test "$fat_32_64" = yes; then : for v in CFLAGS CPPFLAGS LDFLAGS; do # On Tiger there is no 64-bit CF, so remove 64-bit @@ -7981,13 +6083,8 @@ else eval 'hold_'$v'="$'$v'";'$v'="`echo "$'$v' "|sed -e "s/-arch ppc64 / /g" -e "s/-arch x86_64 / /g"`"' done fi - LIBS="$LIBS -framework CoreFoundation" - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include int @@ -7998,77 +6095,45 @@ CFBundleRef b = CFBundleGetMainBundle(); return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_lib_corefoundation=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_lib_corefoundation=no + tcl_cv_lib_corefoundation=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext - if test "$fat_32_64" = yes; then +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext + if test "$fat_32_64" = yes; then : for v in CFLAGS CPPFLAGS LDFLAGS; do eval $v'="$hold_'$v'"' done fi - LIBS=$hold_libs fi -echo "$as_me:$LINENO: result: $tcl_cv_lib_corefoundation" >&5 -echo "${ECHO_T}$tcl_cv_lib_corefoundation" >&6 - if test $tcl_cv_lib_corefoundation = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_lib_corefoundation" >&5 +$as_echo "$tcl_cv_lib_corefoundation" >&6; } + if test $tcl_cv_lib_corefoundation = yes; then : LIBS="$LIBS -framework CoreFoundation" -cat >>confdefs.h <<\_ACEOF -#define HAVE_COREFOUNDATION 1 -_ACEOF +$as_echo "#define HAVE_COREFOUNDATION 1" >>confdefs.h else tcl_corefoundation=no fi + if test "$fat_32_64" = yes -a $tcl_corefoundation = yes; then : - if test "$fat_32_64" = yes -a $tcl_corefoundation = yes; then - - echo "$as_me:$LINENO: checking for 64-bit CoreFoundation" >&5 -echo $ECHO_N "checking for 64-bit CoreFoundation... $ECHO_C" >&6 -if test "${tcl_cv_lib_corefoundation_64+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for 64-bit CoreFoundation" >&5 +$as_echo_n "checking for 64-bit CoreFoundation... " >&6; } +if ${tcl_cv_lib_corefoundation_64+:} false; then : + $as_echo_n "(cached) " >&6 else for v in CFLAGS CPPFLAGS LDFLAGS; do eval 'hold_'$v'="$'$v'";'$v'="`echo "$'$v' "|sed -e "s/-arch ppc / /g" -e "s/-arch i386 / /g"`"' done - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include int @@ -8079,60 +6144,31 @@ CFBundleRef b = CFBundleGetMainBundle(); return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_lib_corefoundation_64=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_lib_corefoundation_64=no + tcl_cv_lib_corefoundation_64=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext for v in CFLAGS CPPFLAGS LDFLAGS; do eval $v'="$hold_'$v'"' done fi -echo "$as_me:$LINENO: result: $tcl_cv_lib_corefoundation_64" >&5 -echo "${ECHO_T}$tcl_cv_lib_corefoundation_64" >&6 - if test $tcl_cv_lib_corefoundation_64 = no; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_lib_corefoundation_64" >&5 +$as_echo "$tcl_cv_lib_corefoundation_64" >&6; } + if test $tcl_cv_lib_corefoundation_64 = no; then : -cat >>confdefs.h <<\_ACEOF -#define NO_COREFOUNDATION_64 1 -_ACEOF +$as_echo "#define NO_COREFOUNDATION_64 1" >>confdefs.h LDFLAGS="$LDFLAGS -Wl,-no_arch_warnings" fi - fi - fi - ;; NEXTSTEP-*) SHLIB_CFLAGS="" @@ -8148,9 +6184,7 @@ fi SHLIB_LD_LIBS="" CFLAGS_OPTIMIZE="" # Optimizer is buggy -cat >>confdefs.h <<\_ACEOF -#define _OE_SOCKETS 1 -_ACEOF +$as_echo "#define _OE_SOCKETS 1" >>confdefs.h ;; OSF1-1.0|OSF1-1.1|OSF1-1.2) @@ -8168,14 +6202,13 @@ _ACEOF OSF1-1.*) # OSF/1 1.3 from OSF using ELF, and derivatives, including AD2 SHLIB_CFLAGS="-fPIC" - if test "$SHARED_BUILD" = 1; then + if test "$SHARED_BUILD" = 1; then : SHLIB_LD="ld -shared" else SHLIB_LD="ld -non_shared" fi - SHLIB_LD_LIBS="" SHLIB_SUFFIX=".so" DL_OBJS="tclLoadDl.o" @@ -8186,7 +6219,7 @@ fi OSF1-V*) # Digital OSF/1 SHLIB_CFLAGS="" - if test "$SHARED_BUILD" = 1; then + if test "$SHARED_BUILD" = 1; then : SHLIB_LD='ld -shared -expect_unresolved "*"' @@ -8195,30 +6228,27 @@ else SHLIB_LD='ld -non_shared -expect_unresolved "*"' fi - SHLIB_SUFFIX=".so" DL_OBJS="tclLoadDl.o" DL_LIBS="" - if test $doRpath = yes; then + if test $doRpath = yes; then : CC_SEARCH_FLAGS='-Wl,-rpath,${LIB_RUNTIME_DIR}' LD_SEARCH_FLAGS='-rpath ${LIB_RUNTIME_DIR}' fi - - if test "$GCC" = yes; then + if test "$GCC" = yes; then : CFLAGS="$CFLAGS -mieee" else CFLAGS="$CFLAGS -DHAVE_TZSET -std1 -ieee" fi - # see pthread_intro(3) for pthread support on osf1, k.furukawa - if test "${TCL_THREADS}" = 1; then + if test "${TCL_THREADS}" = 1; then : CFLAGS="$CFLAGS -DHAVE_PTHREAD_ATTR_SETSTACKSIZE" CFLAGS="$CFLAGS -DTCL_THREAD_STACK_MIN=PTHREAD_STACK_MIN*64" LIBS=`echo $LIBS | sed s/-lpthreads//` - if test "$GCC" = yes; then + if test "$GCC" = yes; then : LIBS="$LIBS -lpthread -lmach -lexc" @@ -8229,9 +6259,7 @@ else fi - fi - ;; QNX-6*) # QNX RTP @@ -8250,7 +6278,7 @@ fi # Note, dlopen is available only on SCO 3.2.5 and greater. However, # this test works, since "uname -s" was non-standard in 3.2.4 and # below. - if test "$GCC" = yes; then + if test "$GCC" = yes; then : SHLIB_CFLAGS="-fPIC -melf" LDFLAGS="$LDFLAGS -melf -Wl,-Bexport" @@ -8261,7 +6289,6 @@ else LDFLAGS="$LDFLAGS -belf -Wl,-Bexport" fi - SHLIB_LD="ld -G" SHLIB_LD_LIBS="" SHLIB_SUFFIX=".so" @@ -8306,21 +6333,17 @@ fi # won't define thread-safe library routines. -cat >>confdefs.h <<\_ACEOF -#define _REENTRANT 1 -_ACEOF +$as_echo "#define _REENTRANT 1" >>confdefs.h -cat >>confdefs.h <<\_ACEOF -#define _POSIX_PTHREAD_SEMANTICS 1 -_ACEOF +$as_echo "#define _POSIX_PTHREAD_SEMANTICS 1" >>confdefs.h SHLIB_CFLAGS="-KPIC" SHLIB_SUFFIX=".so" DL_OBJS="tclLoadDl.o" DL_LIBS="-ldl" - if test "$GCC" = yes; then + if test "$GCC" = yes; then : SHLIB_LD='${CC} -shared' CC_SEARCH_FLAGS='-Wl,-R,${LIB_RUNTIME_DIR}' @@ -8333,37 +6356,32 @@ else LD_SEARCH_FLAGS=${CC_SEARCH_FLAGS} fi - ;; SunOS-5*) # Note: If _REENTRANT isn't defined, then Solaris # won't define thread-safe library routines. -cat >>confdefs.h <<\_ACEOF -#define _REENTRANT 1 -_ACEOF +$as_echo "#define _REENTRANT 1" >>confdefs.h -cat >>confdefs.h <<\_ACEOF -#define _POSIX_PTHREAD_SEMANTICS 1 -_ACEOF +$as_echo "#define _POSIX_PTHREAD_SEMANTICS 1" >>confdefs.h SHLIB_CFLAGS="-KPIC" # Check to enable 64-bit flags for compiler/linker - if test "$do64bit" = yes; then + if test "$do64bit" = yes; then : arch=`isainfo` - if test "$arch" = "sparcv9 sparc"; then + if test "$arch" = "sparcv9 sparc"; then : - if test "$GCC" = yes; then + if test "$GCC" = yes; then : - if test "`${CC} -dumpversion | awk -F. '{print $1}'`" -lt 3; then + if test "`${CC} -dumpversion | awk -F. '{print $1}'`" -lt 3; then : - { echo "$as_me:$LINENO: WARNING: 64bit mode not supported with GCC < 3.2 on $system" >&5 -echo "$as_me: WARNING: 64bit mode not supported with GCC < 3.2 on $system" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: 64bit mode not supported with GCC < 3.2 on $system" >&5 +$as_echo "$as_me: WARNING: 64bit mode not supported with GCC < 3.2 on $system" >&2;} else @@ -8374,11 +6392,10 @@ else fi - else do64bit_ok=yes - if test "$do64bitVIS" = yes; then + if test "$do64bitVIS" = yes; then : CFLAGS="$CFLAGS -xarch=v9a" LDFLAGS_ARCH="-xarch=v9a" @@ -8389,17 +6406,15 @@ else LDFLAGS_ARCH="-xarch=v9" fi - # Solaris 64 uses this as well #LD_LIBRARY_PATH_VAR="LD_LIBRARY_PATH_64" fi - else - if test "$arch" = "amd64 i386"; then + if test "$arch" = "amd64 i386"; then : - if test "$GCC" = yes; then + if test "$GCC" = yes; then : case $system in SunOS-5.1[1-9]*|SunOS-5.[2-9][0-9]*) @@ -8407,8 +6422,8 @@ else CFLAGS="$CFLAGS -m64" LDFLAGS="$LDFLAGS -m64";; *) - { echo "$as_me:$LINENO: WARNING: 64bit mode not supported with GCC on $system" >&5 -echo "$as_me: WARNING: 64bit mode not supported with GCC on $system" >&2;};; + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: 64bit mode not supported with GCC on $system" >&5 +$as_echo "$as_me: WARNING: 64bit mode not supported with GCC on $system" >&2;};; esac else @@ -8425,169 +6440,32 @@ else fi - else - { echo "$as_me:$LINENO: WARNING: 64bit mode not supported for $arch" >&5 -echo "$as_me: WARNING: 64bit mode not supported for $arch" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: 64bit mode not supported for $arch" >&5 +$as_echo "$as_me: WARNING: 64bit mode not supported for $arch" >&2;} fi - fi - fi - #-------------------------------------------------------------------- # On Solaris 5.x i386 with the sunpro compiler we need to link # with sunmath to get floating point rounding control #-------------------------------------------------------------------- - if test "$GCC" = yes; then + if test "$GCC" = yes; then : use_sunmath=no else arch=`isainfo` - echo "$as_me:$LINENO: checking whether to use -lsunmath for fp rounding control" >&5 -echo $ECHO_N "checking whether to use -lsunmath for fp rounding control... $ECHO_C" >&6 - if test "$arch" = "amd64 i386" -o "$arch" = "i386"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether to use -lsunmath for fp rounding control" >&5 +$as_echo_n "checking whether to use -lsunmath for fp rounding control... " >&6; } + if test "$arch" = "amd64 i386" -o "$arch" = "i386"; then : - echo "$as_me:$LINENO: result: yes" >&5 -echo "${ECHO_T}yes" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes" >&5 +$as_echo "yes" >&6; } MATH_LIBS="-lsunmath $MATH_LIBS" - if test "${ac_cv_header_sunmath_h+set}" = set; then - echo "$as_me:$LINENO: checking for sunmath.h" >&5 -echo $ECHO_N "checking for sunmath.h... $ECHO_C" >&6 -if test "${ac_cv_header_sunmath_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: $ac_cv_header_sunmath_h" >&5 -echo "${ECHO_T}$ac_cv_header_sunmath_h" >&6 -else - # Is the header compilable? -echo "$as_me:$LINENO: checking sunmath.h usability" >&5 -echo $ECHO_N "checking sunmath.h usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_header_compiler=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 - -# Is the header present? -echo "$as_me:$LINENO: checking sunmath.h presence" >&5 -echo $ECHO_N "checking sunmath.h presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -_ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - - ac_header_preproc=no -fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 - -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: sunmath.h: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: sunmath.h: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: sunmath.h: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: sunmath.h: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: sunmath.h: present but cannot be compiled" >&5 -echo "$as_me: WARNING: sunmath.h: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: sunmath.h: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: sunmath.h: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: sunmath.h: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: sunmath.h: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: sunmath.h: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: sunmath.h: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: sunmath.h: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: sunmath.h: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: sunmath.h: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: sunmath.h: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for sunmath.h" >&5 -echo $ECHO_N "checking for sunmath.h... $ECHO_C" >&6 -if test "${ac_cv_header_sunmath_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - ac_cv_header_sunmath_h=$ac_header_preproc -fi -echo "$as_me:$LINENO: result: $ac_cv_header_sunmath_h" >&5 -echo "${ECHO_T}$ac_cv_header_sunmath_h" >&6 + ac_fn_c_check_header_mongrel "$LINENO" "sunmath.h" "ac_cv_header_sunmath_h" "$ac_includes_default" +if test "x$ac_cv_header_sunmath_h" = xyes; then : fi @@ -8596,26 +6474,24 @@ fi else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } use_sunmath=no fi - fi - SHLIB_SUFFIX=".so" DL_OBJS="tclLoadDl.o" DL_LIBS="-ldl" - if test "$GCC" = yes; then + if test "$GCC" = yes; then : SHLIB_LD='${CC} -shared' CC_SEARCH_FLAGS='-Wl,-R,${LIB_RUNTIME_DIR}' LD_SEARCH_FLAGS=${CC_SEARCH_FLAGS} - if test "$do64bit_ok" = yes; then + if test "$do64bit_ok" = yes; then : - if test "$arch" = "sparcv9 sparc"; then + if test "$arch" = "sparcv9 sparc"; then : # We need to specify -static-libgcc or we need to # add the path to the sparv9 libgcc. @@ -8626,26 +6502,22 @@ fi #CC_SEARCH_FLAGS="${CC_SEARCH_FLAGS},-R,$v9gcclibdir" else - if test "$arch" = "amd64 i386"; then + if test "$arch" = "amd64 i386"; then : SHLIB_LD="$SHLIB_LD -m64 -static-libgcc" fi - fi - fi - else - if test "$use_sunmath" = yes; then + if test "$use_sunmath" = yes; then : textmode=textoff else textmode=text fi - case $system in SunOS-5.[1-9][0-9]*|SunOS-5.[7-9]) SHLIB_LD="\${CC} -G -z $textmode \${LDFLAGS}";; @@ -8656,7 +6528,6 @@ fi LD_SEARCH_FLAGS='-R ${LIB_RUNTIME_DIR}' fi - ;; UNIX_SV* | UnixWare-5*) SHLIB_CFLAGS="-KPIC" @@ -8667,19 +6538,15 @@ fi DL_LIBS="-ldl" # Some UNIX_SV* systems (unixware 1.1.2 for example) have linkers # that don't grok the -Bexport option. Test that it does. - echo "$as_me:$LINENO: checking for ld accepts -Bexport flag" >&5 -echo $ECHO_N "checking for ld accepts -Bexport flag... $ECHO_C" >&6 -if test "${tcl_cv_ld_Bexport+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for ld accepts -Bexport flag" >&5 +$as_echo_n "checking for ld accepts -Bexport flag... " >&6; } +if ${tcl_cv_ld_Bexport+:} false; then : + $as_echo_n "(cached) " >&6 else hold_ldflags=$LDFLAGS LDFLAGS="$LDFLAGS -Wl,-Bexport" - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -8690,93 +6557,63 @@ int i; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_ld_Bexport=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_ld_Bexport=no + tcl_cv_ld_Bexport=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext LDFLAGS=$hold_ldflags fi -echo "$as_me:$LINENO: result: $tcl_cv_ld_Bexport" >&5 -echo "${ECHO_T}$tcl_cv_ld_Bexport" >&6 - if test $tcl_cv_ld_Bexport = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_ld_Bexport" >&5 +$as_echo "$tcl_cv_ld_Bexport" >&6; } + if test $tcl_cv_ld_Bexport = yes; then : LDFLAGS="$LDFLAGS -Wl,-Bexport" fi - CC_SEARCH_FLAGS="" LD_SEARCH_FLAGS="" ;; esac - if test "$do64bit" = yes -a "$do64bit_ok" = no; then + if test "$do64bit" = yes -a "$do64bit_ok" = no; then : - { echo "$as_me:$LINENO: WARNING: 64bit support being disabled -- don't know magic for this platform" >&5 -echo "$as_me: WARNING: 64bit support being disabled -- don't know magic for this platform" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: 64bit support being disabled -- don't know magic for this platform" >&5 +$as_echo "$as_me: WARNING: 64bit support being disabled -- don't know magic for this platform" >&2;} fi + if test "$do64bit" = yes -a "$do64bit_ok" = yes; then : - if test "$do64bit" = yes -a "$do64bit_ok" = yes; then - -cat >>confdefs.h <<\_ACEOF -#define TCL_CFG_DO64BIT 1 -_ACEOF +$as_echo "#define TCL_CFG_DO64BIT 1" >>confdefs.h fi - # Step 4: disable dynamic loading if requested via a command-line switch. - # Check whether --enable-load or --disable-load was given. -if test "${enable_load+set}" = set; then - enableval="$enable_load" - tcl_ok=$enableval + # Check whether --enable-load was given. +if test "${enable_load+set}" = set; then : + enableval=$enable_load; tcl_ok=$enableval else tcl_ok=yes -fi; - if test "$tcl_ok" = no; then - DL_OBJS="" fi + if test "$tcl_ok" = no; then : + DL_OBJS="" +fi - if test "x$DL_OBJS" != x; then + if test "x$DL_OBJS" != x; then : BUILD_DLTEST="\$(DLTEST_TARGETS)" else - { echo "$as_me:$LINENO: WARNING: Can't figure out how to do dynamic loading or shared libraries on this system." >&5 -echo "$as_me: WARNING: Can't figure out how to do dynamic loading or shared libraries on this system." >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: Can't figure out how to do dynamic loading or shared libraries on this system." >&5 +$as_echo "$as_me: WARNING: Can't figure out how to do dynamic loading or shared libraries on this system." >&2;} SHLIB_CFLAGS="" SHLIB_LD="" SHLIB_SUFFIX="" @@ -8788,14 +6625,13 @@ echo "$as_me: WARNING: Can't figure out how to do dynamic loading or shared libr BUILD_DLTEST="" fi - LDFLAGS="$LDFLAGS $LDFLAGS_ARCH" # If we're running gcc, then change the C flags for compiling shared # libraries to the right flags for gcc, instead of those for the # standard manufacturer compiler. - if test "$DL_OBJS" != "tclLoadNone.o" -a "$GCC" = yes; then + if test "$DL_OBJS" != "tclLoadNone.o" -a "$GCC" = yes; then : case $system in AIX-*) ;; @@ -8809,35 +6645,29 @@ fi esac fi - - if test "$tcl_cv_cc_visibility_hidden" != yes; then + if test "$tcl_cv_cc_visibility_hidden" != yes; then : -cat >>confdefs.h <<\_ACEOF -#define MODULE_SCOPE extern -_ACEOF +$as_echo "#define MODULE_SCOPE extern" >>confdefs.h fi - - if test "$SHARED_LIB_SUFFIX" = ""; then + if test "$SHARED_LIB_SUFFIX" = ""; then : SHARED_LIB_SUFFIX='${VERSION}${SHLIB_SUFFIX}' fi - - if test "$UNSHARED_LIB_SUFFIX" = ""; then + if test "$UNSHARED_LIB_SUFFIX" = ""; then : UNSHARED_LIB_SUFFIX='${VERSION}.a' fi - DLL_INSTALL_DIR="\$(LIB_INSTALL_DIR)" - if test "${SHARED_BUILD}" = 1 -a "${SHLIB_SUFFIX}" != ""; then + if test "${SHARED_BUILD}" = 1 -a "${SHLIB_SUFFIX}" != ""; then : LIB_SUFFIX=${SHARED_LIB_SUFFIX} MAKE_LIB='${SHLIB_LD} -o $@ ${OBJS} ${SHLIB_LD_LIBS} ${TCL_SHLIB_LD_EXTRAS} ${TK_SHLIB_LD_EXTRAS} ${LD_SEARCH_FLAGS}' - if test "${SHLIB_SUFFIX}" = ".dll"; then + if test "${SHLIB_SUFFIX}" = ".dll"; then : INSTALL_LIB='$(INSTALL_LIBRARY) $(LIB_FILE) "$(BIN_INSTALL_DIR)/$(LIB_FILE)";if test -f $(LIB_FILE).a; then $(INSTALL_DATA) $(LIB_FILE).a "$(LIB_INSTALL_DIR)"; fi;' DLL_INSTALL_DIR="\$(BIN_INSTALL_DIR)" @@ -8848,12 +6678,11 @@ else fi - else LIB_SUFFIX=${UNSHARED_LIB_SUFFIX} - if test "$RANLIB" = ""; then + if test "$RANLIB" = ""; then : MAKE_LIB='$(STLIB_LD) $@ ${OBJS}' @@ -8862,14 +6691,12 @@ else MAKE_LIB='${STLIB_LD} $@ ${OBJS} ; ${RANLIB} $@' fi - INSTALL_LIB='$(INSTALL_LIBRARY) $(LIB_FILE) "$(LIB_INSTALL_DIR)/$(LIB_FILE)"' fi - # Stub lib does not depend on shared/static configuration - if test "$RANLIB" = ""; then + if test "$RANLIB" = ""; then : MAKE_STUB_LIB='${STLIB_LD} $@ ${STUB_LIB_OBJS}' @@ -8878,33 +6705,27 @@ else MAKE_STUB_LIB='${STLIB_LD} $@ ${STUB_LIB_OBJS} ; ${RANLIB} $@' fi - INSTALL_STUB_LIB='$(INSTALL_LIBRARY) $(STUB_LIB_FILE) "$(LIB_INSTALL_DIR)/$(STUB_LIB_FILE)"' # Define TCL_LIBS now that we know what DL_LIBS is. # The trick here is that we don't want to change the value of TCL_LIBS if # it is already set when tclConfig.sh had been loaded by Tk. - if test "x${TCL_LIBS}" = x; then + if test "x${TCL_LIBS}" = x; then : TCL_LIBS="${DL_LIBS} ${LIBS} ${MATH_LIBS}" fi - # See if the compiler supports casting to a union type. # This is used to stop gcc from printing a compiler # warning when initializing a union member. - echo "$as_me:$LINENO: checking for cast to union support" >&5 -echo $ECHO_N "checking for cast to union support... $ECHO_C" >&6 -if test "${tcl_cv_cast_to_union+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for cast to union support" >&5 +$as_echo_n "checking for cast to union support... " >&6; } +if ${tcl_cv_cast_to_union+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -8918,45 +6739,19 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_cast_to_union=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_cast_to_union=no + tcl_cv_cast_to_union=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_cast_to_union" >&5 -echo "${ECHO_T}$tcl_cv_cast_to_union" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_cast_to_union" >&5 +$as_echo "$tcl_cv_cast_to_union" >&6; } if test "$tcl_cv_cast_to_union" = "yes"; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_CAST_TO_UNION 1 -_ACEOF +$as_echo "#define HAVE_CAST_TO_UNION 1" >>confdefs.h fi @@ -9002,38 +6797,34 @@ _ACEOF - echo "$as_me:$LINENO: checking for build with symbols" >&5 -echo $ECHO_N "checking for build with symbols... $ECHO_C" >&6 - # Check whether --enable-symbols or --disable-symbols was given. -if test "${enable_symbols+set}" = set; then - enableval="$enable_symbols" - tcl_ok=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for build with symbols" >&5 +$as_echo_n "checking for build with symbols... " >&6; } + # Check whether --enable-symbols was given. +if test "${enable_symbols+set}" = set; then : + enableval=$enable_symbols; tcl_ok=$enableval else tcl_ok=no -fi; +fi + # FIXME: Currently, LDFLAGS_DEFAULT is not used, it should work like CFLAGS_DEFAULT. DBGX="" if test "$tcl_ok" = "no"; then CFLAGS_DEFAULT='$(CFLAGS_OPTIMIZE)' LDFLAGS_DEFAULT='$(LDFLAGS_OPTIMIZE)' -cat >>confdefs.h <<\_ACEOF -#define NDEBUG 1 -_ACEOF +$as_echo "#define NDEBUG 1" >>confdefs.h - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } -cat >>confdefs.h <<\_ACEOF -#define TCL_CFG_OPTIMIZED 1 -_ACEOF +$as_echo "#define TCL_CFG_OPTIMIZED 1" >>confdefs.h else CFLAGS_DEFAULT='$(CFLAGS_DEBUG)' LDFLAGS_DEFAULT='$(LDFLAGS_DEBUG)' if test "$tcl_ok" = "yes"; then - echo "$as_me:$LINENO: result: yes (standard debugging)" >&5 -echo "${ECHO_T}yes (standard debugging)" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes (standard debugging)" >&5 +$as_echo "yes (standard debugging)" >&6; } fi fi @@ -9041,45 +6832,35 @@ echo "${ECHO_T}yes (standard debugging)" >&6 if test "$tcl_ok" = "mem" -o "$tcl_ok" = "all"; then -cat >>confdefs.h <<\_ACEOF -#define TCL_MEM_DEBUG 1 -_ACEOF +$as_echo "#define TCL_MEM_DEBUG 1" >>confdefs.h fi if test "$tcl_ok" = "compile" -o "$tcl_ok" = "all"; then -cat >>confdefs.h <<\_ACEOF -#define TCL_COMPILE_DEBUG 1 -_ACEOF +$as_echo "#define TCL_COMPILE_DEBUG 1" >>confdefs.h -cat >>confdefs.h <<\_ACEOF -#define TCL_COMPILE_STATS 1 -_ACEOF +$as_echo "#define TCL_COMPILE_STATS 1" >>confdefs.h fi if test "$tcl_ok" != "yes" -a "$tcl_ok" != "no"; then if test "$tcl_ok" = "all"; then - echo "$as_me:$LINENO: result: enabled symbols mem compile debugging" >&5 -echo "${ECHO_T}enabled symbols mem compile debugging" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: enabled symbols mem compile debugging" >&5 +$as_echo "enabled symbols mem compile debugging" >&6; } else - echo "$as_me:$LINENO: result: enabled $tcl_ok debugging" >&5 -echo "${ECHO_T}enabled $tcl_ok debugging" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: enabled $tcl_ok debugging" >&5 +$as_echo "enabled $tcl_ok debugging" >&6; } fi fi -cat >>confdefs.h <<\_ACEOF -#define TCL_TOMMATH 1 -_ACEOF +$as_echo "#define TCL_TOMMATH 1" >>confdefs.h -cat >>confdefs.h <<\_ACEOF -#define MP_PREC 4 -_ACEOF +$as_echo "#define MP_PREC 4" >>confdefs.h #-------------------------------------------------------------------- @@ -9087,18 +6868,14 @@ _ACEOF #-------------------------------------------------------------------- - echo "$as_me:$LINENO: checking for required early compiler flags" >&5 -echo $ECHO_N "checking for required early compiler flags... $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for required early compiler flags" >&5 +$as_echo_n "checking for required early compiler flags... " >&6; } tcl_flags="" - if test "${tcl_cv_flag__isoc99_source+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + if ${tcl_cv_flag__isoc99_source+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include int @@ -9109,38 +6886,10 @@ char *p = (char *)strtoll; char *q = (char *)strtoull; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_flag__isoc99_source=no else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #define _ISOC99_SOURCE 1 #include @@ -9152,58 +6901,28 @@ char *p = (char *)strtoll; char *q = (char *)strtoull; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_flag__isoc99_source=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_flag__isoc99_source=no + tcl_cv_flag__isoc99_source=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi if test "x${tcl_cv_flag__isoc99_source}" = "xyes" ; then -cat >>confdefs.h <<\_ACEOF -#define _ISOC99_SOURCE 1 -_ACEOF +$as_echo "#define _ISOC99_SOURCE 1" >>confdefs.h tcl_flags="$tcl_flags _ISOC99_SOURCE" fi - if test "${tcl_cv_flag__largefile64_source+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + if ${tcl_cv_flag__largefile64_source+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include int @@ -9214,38 +6933,10 @@ struct stat64 buf; int i = stat64("/", &buf); return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_flag__largefile64_source=no else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #define _LARGEFILE64_SOURCE 1 #include @@ -9257,58 +6948,28 @@ struct stat64 buf; int i = stat64("/", &buf); return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_flag__largefile64_source=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_flag__largefile64_source=no + tcl_cv_flag__largefile64_source=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi if test "x${tcl_cv_flag__largefile64_source}" = "xyes" ; then -cat >>confdefs.h <<\_ACEOF -#define _LARGEFILE64_SOURCE 1 -_ACEOF +$as_echo "#define _LARGEFILE64_SOURCE 1" >>confdefs.h tcl_flags="$tcl_flags _LARGEFILE64_SOURCE" fi - if test "${tcl_cv_flag__largefile_source64+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + if ${tcl_cv_flag__largefile_source64+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include int @@ -9319,38 +6980,10 @@ char *p = (char *)open64; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_flag__largefile_source64=no else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #define _LARGEFILE_SOURCE64 1 #include @@ -9362,72 +6995,42 @@ char *p = (char *)open64; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_flag__largefile_source64=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_flag__largefile_source64=no + tcl_cv_flag__largefile_source64=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi if test "x${tcl_cv_flag__largefile_source64}" = "xyes" ; then -cat >>confdefs.h <<\_ACEOF -#define _LARGEFILE_SOURCE64 1 -_ACEOF +$as_echo "#define _LARGEFILE_SOURCE64 1" >>confdefs.h tcl_flags="$tcl_flags _LARGEFILE_SOURCE64" fi if test "x${tcl_flags}" = "x" ; then - echo "$as_me:$LINENO: result: none" >&5 -echo "${ECHO_T}none" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: none" >&5 +$as_echo "none" >&6; } else - echo "$as_me:$LINENO: result: ${tcl_flags}" >&5 -echo "${ECHO_T}${tcl_flags}" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: ${tcl_flags}" >&5 +$as_echo "${tcl_flags}" >&6; } fi - echo "$as_me:$LINENO: checking for 64-bit integer type" >&5 -echo $ECHO_N "checking for 64-bit integer type... $ECHO_C" >&6 - if test "${tcl_cv_type_64bit+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for 64-bit integer type" >&5 +$as_echo_n "checking for 64-bit integer type... " >&6; } + if ${tcl_cv_type_64bit+:} false; then : + $as_echo_n "(cached) " >&6 else tcl_cv_type_64bit=none # See if the compiler knows natively about __int64 - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -9438,44 +7041,16 @@ __int64 value = (__int64) 0; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_type_64bit=__int64 else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_type_64bit="long long" + tcl_type_64bit="long long" fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext # See if we should use long anyway Note that we substitute in the # type that is our current guess for a 64-bit type inside this check # program, so it should be modified only carefully... - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -9488,66 +7063,35 @@ switch (0) { return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_type_64bit=${tcl_type_64bit} -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi if test "${tcl_cv_type_64bit}" = none ; then -cat >>confdefs.h <<\_ACEOF -#define TCL_WIDE_INT_IS_LONG 1 -_ACEOF +$as_echo "#define TCL_WIDE_INT_IS_LONG 1" >>confdefs.h - echo "$as_me:$LINENO: result: using long" >&5 -echo "${ECHO_T}using long" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: using long" >&5 +$as_echo "using long" >&6; } else cat >>confdefs.h <<_ACEOF #define TCL_WIDE_INT_TYPE ${tcl_cv_type_64bit} _ACEOF - echo "$as_me:$LINENO: result: ${tcl_cv_type_64bit}" >&5 -echo "${ECHO_T}${tcl_cv_type_64bit}" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: ${tcl_cv_type_64bit}" >&5 +$as_echo "${tcl_cv_type_64bit}" >&6; } # Now check for auxiliary declarations - echo "$as_me:$LINENO: checking for struct dirent64" >&5 -echo $ECHO_N "checking for struct dirent64... $ECHO_C" >&6 -if test "${tcl_cv_struct_dirent64+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for struct dirent64" >&5 +$as_echo_n "checking for struct dirent64... " >&6; } +if ${tcl_cv_struct_dirent64+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include #include @@ -9559,58 +7103,28 @@ struct dirent64 p; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_struct_dirent64=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_struct_dirent64=no + tcl_cv_struct_dirent64=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_struct_dirent64" >&5 -echo "${ECHO_T}$tcl_cv_struct_dirent64" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_struct_dirent64" >&5 +$as_echo "$tcl_cv_struct_dirent64" >&6; } if test "x${tcl_cv_struct_dirent64}" = "xyes" ; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_STRUCT_DIRENT64 1 -_ACEOF +$as_echo "#define HAVE_STRUCT_DIRENT64 1" >>confdefs.h fi - echo "$as_me:$LINENO: checking for struct stat64" >&5 -echo $ECHO_N "checking for struct stat64... $ECHO_C" >&6 -if test "${tcl_cv_struct_stat64+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for struct stat64" >&5 +$as_echo_n "checking for struct stat64... " >&6; } +if ${tcl_cv_struct_stat64+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include int @@ -9622,161 +7136,40 @@ struct stat64 p; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_struct_stat64=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_struct_stat64=no + tcl_cv_struct_stat64=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_struct_stat64" >&5 -echo "${ECHO_T}$tcl_cv_struct_stat64" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_struct_stat64" >&5 +$as_echo "$tcl_cv_struct_stat64" >&6; } if test "x${tcl_cv_struct_stat64}" = "xyes" ; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_STRUCT_STAT64 1 -_ACEOF +$as_echo "#define HAVE_STRUCT_STAT64 1" >>confdefs.h fi - - -for ac_func in open64 lseek64 -do -as_ac_var=`echo "ac_cv_func_$ac_func" | $as_tr_sh` -echo "$as_me:$LINENO: checking for $ac_func" >&5 -echo $ECHO_N "checking for $ac_func... $ECHO_C" >&6 -if eval "test \"\${$as_ac_var+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define $ac_func to an innocuous variant, in case declares $ac_func. - For example, HP-UX 11i declares gettimeofday. */ -#define $ac_func innocuous_$ac_func - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char $ac_func (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif - -#undef $ac_func - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char $ac_func (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_$ac_func) || defined (__stub___$ac_func) -choke me -#else -char (*f) () = $ac_func; -#endif -#ifdef __cplusplus -} -#endif - -int -main () -{ -return f != $ac_func; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - eval "$as_ac_var=yes" -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -eval "$as_ac_var=no" -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_var'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_var'}'`" >&6 -if test `eval echo '${'$as_ac_var'}'` = yes; then + for ac_func in open64 lseek64 +do : + as_ac_var=`$as_echo "ac_cv_func_$ac_func" | $as_tr_sh` +ac_fn_c_check_func "$LINENO" "$ac_func" "$as_ac_var" +if eval test \"x\$"$as_ac_var"\" = x"yes"; then : cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_func" | $as_tr_cpp` 1 +#define `$as_echo "HAVE_$ac_func" | $as_tr_cpp` 1 _ACEOF fi done - echo "$as_me:$LINENO: checking for off64_t" >&5 -echo $ECHO_N "checking for off64_t... $ECHO_C" >&6 - if test "${tcl_cv_type_off64_t+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for off64_t" >&5 +$as_echo_n "checking for off64_t... " >&6; } + if ${tcl_cv_type_off64_t+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include int @@ -9788,51 +7181,25 @@ off64_t offset; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_type_off64_t=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_type_off64_t=no + tcl_cv_type_off64_t=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi if test "x${tcl_cv_type_off64_t}" = "xyes" && \ test "x${ac_cv_func_lseek64}" = "xyes" && \ test "x${ac_cv_func_open64}" = "xyes" ; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_TYPE_OFF64_T 1 -_ACEOF +$as_echo "#define HAVE_TYPE_OFF64_T 1" >>confdefs.h - echo "$as_me:$LINENO: result: yes" >&5 -echo "${ECHO_T}yes" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes" >&5 +$as_echo "yes" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi fi @@ -9842,235 +7209,229 @@ echo "${ECHO_T}no" >&6 # Tcl_UniChar strings to memcmp on big-endian systems. #-------------------------------------------------------------------- -echo "$as_me:$LINENO: checking whether byte ordering is bigendian" >&5 -echo $ECHO_N "checking whether byte ordering is bigendian... $ECHO_C" >&6 -if test "${ac_cv_c_bigendian+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether byte ordering is bigendian" >&5 +$as_echo_n "checking whether byte ordering is bigendian... " >&6; } +if ${ac_cv_c_bigendian+:} false; then : + $as_echo_n "(cached) " >&6 else - # See if sys/param.h defines the BYTE_ORDER macro. -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + ac_cv_c_bigendian=unknown + # See if we're dealing with a universal compiler. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#ifndef __APPLE_CC__ + not a universal capable compiler + #endif + typedef int dummy; + +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + + # Check for potential -arch flags. It is not universal unless + # there are at least two -arch flags with different values. + ac_arch= + ac_prev= + for ac_word in $CC $CFLAGS $CPPFLAGS $LDFLAGS; do + if test -n "$ac_prev"; then + case $ac_word in + i?86 | x86_64 | ppc | ppc64) + if test -z "$ac_arch" || test "$ac_arch" = "$ac_word"; then + ac_arch=$ac_word + else + ac_cv_c_bigendian=universal + break + fi + ;; + esac + ac_prev= + elif test "x$ac_word" = "x-arch"; then + ac_prev=arch + fi + done +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + if test $ac_cv_c_bigendian = unknown; then + # See if sys/param.h defines the BYTE_ORDER macro. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include -#include + #include int main () { -#if !BYTE_ORDER || !BIG_ENDIAN || !LITTLE_ENDIAN - bogus endian macros -#endif +#if ! (defined BYTE_ORDER && defined BIG_ENDIAN \ + && defined LITTLE_ENDIAN && BYTE_ORDER && BIG_ENDIAN \ + && LITTLE_ENDIAN) + bogus endian macros + #endif ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : # It does; now see whether it defined to BIG_ENDIAN or not. -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include -#include + #include int main () { #if BYTE_ORDER != BIG_ENDIAN - not big endian -#endif + not big endian + #endif ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : ac_cv_c_bigendian=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_c_bigendian=no + ac_cv_c_bigendian=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -# It does not; compile a test program. -if test "$cross_compiling" = yes; then - # try to guess the endianness by grepping values into an object file - ac_cv_c_bigendian=unknown - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + fi + if test $ac_cv_c_bigendian = unknown; then + # See if defines _LITTLE_ENDIAN or _BIG_ENDIAN (e.g., Solaris). + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -short ascii_mm[] = { 0x4249, 0x4765, 0x6E44, 0x6961, 0x6E53, 0x7953, 0 }; -short ascii_ii[] = { 0x694C, 0x5454, 0x656C, 0x6E45, 0x6944, 0x6E61, 0 }; -void _ascii () { char *s = (char *) ascii_mm; s = (char *) ascii_ii; } -short ebcdic_ii[] = { 0x89D3, 0xE3E3, 0x8593, 0x95C5, 0x89C4, 0x9581, 0 }; -short ebcdic_mm[] = { 0xC2C9, 0xC785, 0x95C4, 0x8981, 0x95E2, 0xA8E2, 0 }; -void _ebcdic () { char *s = (char *) ebcdic_mm; s = (char *) ebcdic_ii; } +#include + int main () { - _ascii (); _ebcdic (); +#if ! (defined _LITTLE_ENDIAN || defined _BIG_ENDIAN) + bogus endian macros + #endif + ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - if grep BIGenDianSyS conftest.$ac_objext >/dev/null ; then - ac_cv_c_bigendian=yes -fi -if grep LiTTleEnDian conftest.$ac_objext >/dev/null ; then - if test "$ac_cv_c_bigendian" = unknown; then - ac_cv_c_bigendian=no - else - # finding both strings is unlikely to happen, but who knows? - ac_cv_c_bigendian=unknown - fi -fi +if ac_fn_c_try_compile "$LINENO"; then : + # It does; now see whether it defined to _BIG_ENDIAN or not. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include + +int +main () +{ +#ifndef _BIG_ENDIAN + not big endian + #endif + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_c_bigendian=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 + ac_cv_c_bigendian=no +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + fi + if test $ac_cv_c_bigendian = unknown; then + # Compile a test program. + if test "$cross_compiling" = yes; then : + # Try to guess by grepping values from an object file. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +short int ascii_mm[] = + { 0x4249, 0x4765, 0x6E44, 0x6961, 0x6E53, 0x7953, 0 }; + short int ascii_ii[] = + { 0x694C, 0x5454, 0x656C, 0x6E45, 0x6944, 0x6E61, 0 }; + int use_ascii (int i) { + return ascii_mm[i] + ascii_ii[i]; + } + short int ebcdic_ii[] = + { 0x89D3, 0xE3E3, 0x8593, 0x95C5, 0x89C4, 0x9581, 0 }; + short int ebcdic_mm[] = + { 0xC2C9, 0xC785, 0x95C4, 0x8981, 0x95E2, 0xA8E2, 0 }; + int use_ebcdic (int i) { + return ebcdic_mm[i] + ebcdic_ii[i]; + } + extern int foo; +int +main () +{ +return use_ascii (foo) == use_ebcdic (foo); + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + if grep BIGenDianSyS conftest.$ac_objext >/dev/null; then + ac_cv_c_bigendian=yes + fi + if grep LiTTleEnDian conftest.$ac_objext >/dev/null ; then + if test "$ac_cv_c_bigendian" = unknown; then + ac_cv_c_bigendian=no + else + # finding both strings is unlikely to happen, but who knows? + ac_cv_c_bigendian=unknown + fi + fi fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ +$ac_includes_default int main () { - /* Are we little or big endian? From Harbison&Steele. */ - union - { - long l; - char c[sizeof (long)]; - } u; - u.l = 1; - exit (u.c[sizeof (long) - 1] == 1); + + /* Are we little or big endian? From Harbison&Steele. */ + union + { + long int l; + char c[sizeof (long int)]; + } u; + u.l = 1; + return u.c[sizeof (long int) - 1] == 1; + + ; + return 0; } _ACEOF -rm -f conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && { ac_try='./conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_run "$LINENO"; then : ac_cv_c_bigendian=no else - echo "$as_me: program exited with status $ac_status" >&5 -echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -( exit $ac_status ) -ac_cv_c_bigendian=yes -fi -rm -f core *.core gmon.out bb.out conftest$ac_exeext conftest.$ac_objext conftest.$ac_ext + ac_cv_c_bigendian=yes fi +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext + + fi fi -echo "$as_me:$LINENO: result: $ac_cv_c_bigendian" >&5 -echo "${ECHO_T}$ac_cv_c_bigendian" >&6 -case $ac_cv_c_bigendian in - yes) +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_c_bigendian" >&5 +$as_echo "$ac_cv_c_bigendian" >&6; } + case $ac_cv_c_bigendian in #( + yes) + $as_echo "#define WORDS_BIGENDIAN 1" >>confdefs.h +;; #( + no) + ;; #( + universal) -cat >>confdefs.h <<\_ACEOF -#define WORDS_BIGENDIAN 1 -_ACEOF - ;; - no) - ;; - *) - { { echo "$as_me:$LINENO: error: unknown endianness -presetting ac_cv_c_bigendian=no (or yes) will help" >&5 -echo "$as_me: error: unknown endianness -presetting ac_cv_c_bigendian=no (or yes) will help" >&2;} - { (exit 1); exit 1; }; } ;; -esac +$as_echo "#define AC_APPLE_UNIVERSAL_BUILD 1" >>confdefs.h + + ;; #( + *) + as_fn_error $? "unknown endianness + presetting ac_cv_c_bigendian=no (or yes) will help" "$LINENO" 5 ;; + esac #-------------------------------------------------------------------- @@ -10079,110 +7440,17 @@ esac #-------------------------------------------------------------------- # Check if Posix compliant getcwd exists, if not we'll use getwd. - for ac_func in getcwd -do -as_ac_var=`echo "ac_cv_func_$ac_func" | $as_tr_sh` -echo "$as_me:$LINENO: checking for $ac_func" >&5 -echo $ECHO_N "checking for $ac_func... $ECHO_C" >&6 -if eval "test \"\${$as_ac_var+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define $ac_func to an innocuous variant, in case declares $ac_func. - For example, HP-UX 11i declares gettimeofday. */ -#define $ac_func innocuous_$ac_func - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char $ac_func (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif - -#undef $ac_func - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char $ac_func (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_$ac_func) || defined (__stub___$ac_func) -choke me -#else -char (*f) () = $ac_func; -#endif -#ifdef __cplusplus -} -#endif - -int -main () -{ -return f != $ac_func; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - eval "$as_ac_var=yes" -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -eval "$as_ac_var=no" -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_var'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_var'}'`" >&6 -if test `eval echo '${'$as_ac_var'}'` = yes; then +do : + ac_fn_c_check_func "$LINENO" "getcwd" "ac_cv_func_getcwd" +if test "x$ac_cv_func_getcwd" = xyes; then : cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_func" | $as_tr_cpp` 1 +#define HAVE_GETCWD 1 _ACEOF else -cat >>confdefs.h <<\_ACEOF -#define USEGETWD 1 -_ACEOF +$as_echo "#define USEGETWD 1" >>confdefs.h fi done @@ -10190,7726 +7458,2343 @@ done # Nb: if getcwd uses popen and pwd(1) (like SunOS 4) we should really # define USEGETWD even if the posix getcwd exists. Add a test ? +ac_fn_c_check_func "$LINENO" "mkstemp" "ac_cv_func_mkstemp" +if test "x$ac_cv_func_mkstemp" = xyes; then : + $as_echo "#define HAVE_MKSTEMP 1" >>confdefs.h +else + case " $LIBOBJS " in + *" mkstemp.$ac_objext "* ) ;; + *) LIBOBJS="$LIBOBJS mkstemp.$ac_objext" + ;; +esac +fi +ac_fn_c_check_func "$LINENO" "opendir" "ac_cv_func_opendir" +if test "x$ac_cv_func_opendir" = xyes; then : + $as_echo "#define HAVE_OPENDIR 1" >>confdefs.h -for ac_func in mkstemp opendir strtol waitpid -do -as_ac_var=`echo "ac_cv_func_$ac_func" | $as_tr_sh` -echo "$as_me:$LINENO: checking for $ac_func" >&5 -echo $ECHO_N "checking for $ac_func... $ECHO_C" >&6 -if eval "test \"\${$as_ac_var+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define $ac_func to an innocuous variant, in case declares $ac_func. - For example, HP-UX 11i declares gettimeofday. */ -#define $ac_func innocuous_$ac_func - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char $ac_func (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif +else + case " $LIBOBJS " in + *" opendir.$ac_objext "* ) ;; + *) LIBOBJS="$LIBOBJS opendir.$ac_objext" + ;; +esac -#undef $ac_func +fi -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char $ac_func (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_$ac_func) || defined (__stub___$ac_func) -choke me -#else -char (*f) () = $ac_func; -#endif -#ifdef __cplusplus -} -#endif +ac_fn_c_check_func "$LINENO" "strtol" "ac_cv_func_strtol" +if test "x$ac_cv_func_strtol" = xyes; then : + $as_echo "#define HAVE_STRTOL 1" >>confdefs.h -int -main () -{ -return f != $ac_func; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - eval "$as_ac_var=yes" else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 + case " $LIBOBJS " in + *" strtol.$ac_objext "* ) ;; + *) LIBOBJS="$LIBOBJS strtol.$ac_objext" + ;; +esac -eval "$as_ac_var=no" fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_var'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_var'}'`" >&6 -if test `eval echo '${'$as_ac_var'}'` = yes; then - cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_func" | $as_tr_cpp` 1 -_ACEOF + +ac_fn_c_check_func "$LINENO" "waitpid" "ac_cv_func_waitpid" +if test "x$ac_cv_func_waitpid" = xyes; then : + $as_echo "#define HAVE_WAITPID 1" >>confdefs.h else - case $LIBOBJS in - "$ac_func.$ac_objext" | \ - *" $ac_func.$ac_objext" | \ - "$ac_func.$ac_objext "* | \ - *" $ac_func.$ac_objext "* ) ;; - *) LIBOBJS="$LIBOBJS $ac_func.$ac_objext" ;; + case " $LIBOBJS " in + *" waitpid.$ac_objext "* ) ;; + *) LIBOBJS="$LIBOBJS waitpid.$ac_objext" + ;; esac fi -done -echo "$as_me:$LINENO: checking for strerror" >&5 -echo $ECHO_N "checking for strerror... $ECHO_C" >&6 -if test "${ac_cv_func_strerror+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define strerror to an innocuous variant, in case declares strerror. - For example, HP-UX 11i declares gettimeofday. */ -#define strerror innocuous_strerror +ac_fn_c_check_func "$LINENO" "strerror" "ac_cv_func_strerror" +if test "x$ac_cv_func_strerror" = xyes; then : -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char strerror (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ +else -#ifdef __STDC__ -# include -#else -# include -#endif +$as_echo "#define NO_STRERROR 1" >>confdefs.h -#undef strerror +fi -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char strerror (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_strerror) || defined (__stub___strerror) -choke me -#else -char (*f) () = strerror; -#endif -#ifdef __cplusplus -} -#endif +ac_fn_c_check_func "$LINENO" "getwd" "ac_cv_func_getwd" +if test "x$ac_cv_func_getwd" = xyes; then : -int -main () -{ -return f != strerror; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_strerror=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 -ac_cv_func_strerror=no -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +$as_echo "#define NO_GETWD 1" >>confdefs.h + fi -echo "$as_me:$LINENO: result: $ac_cv_func_strerror" >&5 -echo "${ECHO_T}$ac_cv_func_strerror" >&6 -if test $ac_cv_func_strerror = yes; then - : + +ac_fn_c_check_func "$LINENO" "wait3" "ac_cv_func_wait3" +if test "x$ac_cv_func_wait3" = xyes; then : + else -cat >>confdefs.h <<\_ACEOF -#define NO_STRERROR 1 -_ACEOF +$as_echo "#define NO_WAIT3 1" >>confdefs.h fi -echo "$as_me:$LINENO: checking for getwd" >&5 -echo $ECHO_N "checking for getwd... $ECHO_C" >&6 -if test "${ac_cv_func_getwd+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +ac_fn_c_check_func "$LINENO" "uname" "ac_cv_func_uname" +if test "x$ac_cv_func_uname" = xyes; then : + else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define getwd to an innocuous variant, in case declares getwd. - For example, HP-UX 11i declares gettimeofday. */ -#define getwd innocuous_getwd -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char getwd (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ +$as_echo "#define NO_UNAME 1" >>confdefs.h -#ifdef __STDC__ -# include -#else -# include -#endif +fi -#undef getwd -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char getwd (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_getwd) || defined (__stub___getwd) -choke me -#else -char (*f) () = getwd; -#endif -#ifdef __cplusplus -} -#endif +if test "`uname -s`" = "Darwin" && test "${TCL_THREADS}" = 1 && \ + test "`uname -r | awk -F. '{print $1}'`" -lt 7; then + # prior to Darwin 7, realpath is not threadsafe, so don't + # use it when threads are enabled, c.f. bug # 711232 + ac_cv_func_realpath=no +fi +ac_fn_c_check_func "$LINENO" "realpath" "ac_cv_func_realpath" +if test "x$ac_cv_func_realpath" = xyes; then : -int -main () -{ -return f != getwd; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_getwd=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 -ac_cv_func_getwd=no -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +$as_echo "#define NO_REALPATH 1" >>confdefs.h + fi -echo "$as_me:$LINENO: result: $ac_cv_func_getwd" >&5 -echo "${ECHO_T}$ac_cv_func_getwd" >&6 -if test $ac_cv_func_getwd = yes; then - : -else -cat >>confdefs.h <<\_ACEOF -#define NO_GETWD 1 -_ACEOF -fi -echo "$as_me:$LINENO: checking for wait3" >&5 -echo $ECHO_N "checking for wait3... $ECHO_C" >&6 -if test "${ac_cv_func_wait3+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ + NEED_FAKE_RFC2553=0 + for ac_func in getnameinfo getaddrinfo freeaddrinfo gai_strerror +do : + as_ac_var=`$as_echo "ac_cv_func_$ac_func" | $as_tr_sh` +ac_fn_c_check_func "$LINENO" "$ac_func" "$as_ac_var" +if eval test \"x\$"$as_ac_var"\" = x"yes"; then : + cat >>confdefs.h <<_ACEOF +#define `$as_echo "HAVE_$ac_func" | $as_tr_cpp` 1 _ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define wait3 to an innocuous variant, in case declares wait3. - For example, HP-UX 11i declares gettimeofday. */ -#define wait3 innocuous_wait3 -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char wait3 (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif +else + NEED_FAKE_RFC2553=1 +fi +done -#undef wait3 + ac_fn_c_check_type "$LINENO" "struct addrinfo" "ac_cv_type_struct_addrinfo" " +#include +#include +#include +#include -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char wait3 (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_wait3) || defined (__stub___wait3) -choke me -#else -char (*f) () = wait3; -#endif -#ifdef __cplusplus -} -#endif +" +if test "x$ac_cv_type_struct_addrinfo" = xyes; then : -int -main () -{ -return f != wait3; - ; - return 0; -} +cat >>confdefs.h <<_ACEOF +#define HAVE_STRUCT_ADDRINFO 1 _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_wait3=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 -ac_cv_func_wait3=no -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: $ac_cv_func_wait3" >&5 -echo "${ECHO_T}$ac_cv_func_wait3" >&6 -if test $ac_cv_func_wait3 = yes; then - : + else + NEED_FAKE_RFC2553=1 +fi +ac_fn_c_check_type "$LINENO" "struct in6_addr" "ac_cv_type_struct_in6_addr" " +#include +#include +#include +#include -cat >>confdefs.h <<\_ACEOF -#define NO_WAIT3 1 +" +if test "x$ac_cv_type_struct_in6_addr" = xyes; then : + +cat >>confdefs.h <<_ACEOF +#define HAVE_STRUCT_IN6_ADDR 1 _ACEOF + +else + NEED_FAKE_RFC2553=1 fi +ac_fn_c_check_type "$LINENO" "struct sockaddr_in6" "ac_cv_type_struct_sockaddr_in6" " +#include +#include +#include +#include + +" +if test "x$ac_cv_type_struct_sockaddr_in6" = xyes; then : + +cat >>confdefs.h <<_ACEOF +#define HAVE_STRUCT_SOCKADDR_IN6 1 +_ACEOF + -echo "$as_me:$LINENO: checking for uname" >&5 -echo $ECHO_N "checking for uname... $ECHO_C" >&6 -if test "${ac_cv_func_uname+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ + NEED_FAKE_RFC2553=1 +fi +ac_fn_c_check_type "$LINENO" "struct sockaddr_storage" "ac_cv_type_struct_sockaddr_storage" " +#include +#include +#include +#include + +" +if test "x$ac_cv_type_struct_sockaddr_storage" = xyes; then : + +cat >>confdefs.h <<_ACEOF +#define HAVE_STRUCT_SOCKADDR_STORAGE 1 _ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define uname to an innocuous variant, in case declares uname. - For example, HP-UX 11i declares gettimeofday. */ -#define uname innocuous_uname -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char uname (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ -#ifdef __STDC__ -# include -#else -# include -#endif +else + NEED_FAKE_RFC2553=1 +fi -#undef uname +if test "x$NEED_FAKE_RFC2553" = "x1"; then -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char uname (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_uname) || defined (__stub___uname) -choke me -#else -char (*f) () = uname; -#endif -#ifdef __cplusplus -} -#endif +$as_echo "#define NEED_FAKE_RFC2553 1" >>confdefs.h + + case " $LIBOBJS " in + *" fake-rfc2553.$ac_objext "* ) ;; + *) LIBOBJS="$LIBOBJS fake-rfc2553.$ac_objext" + ;; +esac + + ac_fn_c_check_func "$LINENO" "strlcpy" "ac_cv_func_strlcpy" +if test "x$ac_cv_func_strlcpy" = xyes; then : + +fi + +fi + + +#-------------------------------------------------------------------- +# Look for thread-safe variants of some library functions. +#-------------------------------------------------------------------- + +if test "${TCL_THREADS}" = 1; then + ac_fn_c_check_func "$LINENO" "getpwuid_r" "ac_cv_func_getpwuid_r" +if test "x$ac_cv_func_getpwuid_r" = xyes; then : + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for getpwuid_r with 5 args" >&5 +$as_echo_n "checking for getpwuid_r with 5 args... " >&6; } +if ${tcl_cv_api_getpwuid_r_5+:} false; then : + $as_echo_n "(cached) " >&6 +else + + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + + #include + #include int main () { -return f != uname; + + uid_t uid; + struct passwd pw, *pwp; + char buf[512]; + int buflen = 512; + + (void) getpwuid_r(uid, &pw, buf, buflen, &pwp); + ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_uname=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_getpwuid_r_5=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_func_uname=no -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext + tcl_cv_api_getpwuid_r_5=no fi -echo "$as_me:$LINENO: result: $ac_cv_func_uname" >&5 -echo "${ECHO_T}$ac_cv_func_uname" >&6 -if test $ac_cv_func_uname = yes; then - : -else - -cat >>confdefs.h <<\_ACEOF -#define NO_UNAME 1 -_ACEOF - +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_getpwuid_r_5" >&5 +$as_echo "$tcl_cv_api_getpwuid_r_5" >&6; } + tcl_ok=$tcl_cv_api_getpwuid_r_5 + if test "$tcl_ok" = yes; then +$as_echo "#define HAVE_GETPWUID_R_5 1" >>confdefs.h -if test "`uname -s`" = "Darwin" && test "${TCL_THREADS}" = 1 && \ - test "`uname -r | awk -F. '{print $1}'`" -lt 7; then - # prior to Darwin 7, realpath is not threadsafe, so don't - # use it when threads are enabled, c.f. bug # 711232 - ac_cv_func_realpath=no -fi -echo "$as_me:$LINENO: checking for realpath" >&5 -echo $ECHO_N "checking for realpath... $ECHO_C" >&6 -if test "${ac_cv_func_realpath+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + else + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for getpwuid_r with 4 args" >&5 +$as_echo_n "checking for getpwuid_r with 4 args... " >&6; } +if ${tcl_cv_api_getpwuid_r_4+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define realpath to an innocuous variant, in case declares realpath. - For example, HP-UX 11i declares gettimeofday. */ -#define realpath innocuous_realpath - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char realpath (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif -#undef realpath + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char realpath (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_realpath) || defined (__stub___realpath) -choke me -#else -char (*f) () = realpath; -#endif -#ifdef __cplusplus -} -#endif + #include + #include int main () { -return f != realpath; + + uid_t uid; + struct passwd pw; + char buf[512]; + int buflen = 512; + + (void)getpwnam_r(uid, &pw, buf, buflen); + ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_realpath=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_getpwuid_r_4=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_func_realpath=no + tcl_cv_api_getpwuid_r_4=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_func_realpath" >&5 -echo "${ECHO_T}$ac_cv_func_realpath" >&6 -if test $ac_cv_func_realpath = yes; then - : -else - -cat >>confdefs.h <<\_ACEOF -#define NO_REALPATH 1 -_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_getpwuid_r_4" >&5 +$as_echo "$tcl_cv_api_getpwuid_r_4" >&6; } + tcl_ok=$tcl_cv_api_getpwuid_r_4 + if test "$tcl_ok" = yes; then -fi +$as_echo "#define HAVE_GETPWUID_R_4 1" >>confdefs.h + fi + fi + if test "$tcl_ok" = yes; then +$as_echo "#define HAVE_GETPWUID_R 1" >>confdefs.h - NEED_FAKE_RFC2553=0 + fi +fi + ac_fn_c_check_func "$LINENO" "getpwnam_r" "ac_cv_func_getpwnam_r" +if test "x$ac_cv_func_getpwnam_r" = xyes; then : + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for getpwnam_r with 5 args" >&5 +$as_echo_n "checking for getpwnam_r with 5 args... " >&6; } +if ${tcl_cv_api_getpwnam_r_5+:} false; then : + $as_echo_n "(cached) " >&6 +else -for ac_func in getnameinfo getaddrinfo freeaddrinfo gai_strerror -do -as_ac_var=`echo "ac_cv_func_$ac_func" | $as_tr_sh` -echo "$as_me:$LINENO: checking for $ac_func" >&5 -echo $ECHO_N "checking for $ac_func... $ECHO_C" >&6 -if eval "test \"\${$as_ac_var+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Define $ac_func to an innocuous variant, in case declares $ac_func. - For example, HP-UX 11i declares gettimeofday. */ -#define $ac_func innocuous_$ac_func - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char $ac_func (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif - -#undef $ac_func -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char $ac_func (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_$ac_func) || defined (__stub___$ac_func) -choke me -#else -char (*f) () = $ac_func; -#endif -#ifdef __cplusplus -} -#endif + #include + #include int main () { -return f != $ac_func; + + char *name; + struct passwd pw, *pwp; + char buf[512]; + int buflen = 512; + + (void) getpwnam_r(name, &pw, buf, buflen, &pwp); + ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - eval "$as_ac_var=yes" +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_getpwnam_r_5=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -eval "$as_ac_var=no" + tcl_cv_api_getpwnam_r_5=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_var'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_var'}'`" >&6 -if test `eval echo '${'$as_ac_var'}'` = yes; then - cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_func" | $as_tr_cpp` 1 -_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_getpwnam_r_5" >&5 +$as_echo "$tcl_cv_api_getpwnam_r_5" >&6; } + tcl_ok=$tcl_cv_api_getpwnam_r_5 + if test "$tcl_ok" = yes; then -else - NEED_FAKE_RFC2553=1 -fi -done +$as_echo "#define HAVE_GETPWNAM_R_5 1" >>confdefs.h - echo "$as_me:$LINENO: checking for struct addrinfo" >&5 -echo $ECHO_N "checking for struct addrinfo... $ECHO_C" >&6 -if test "${ac_cv_type_struct_addrinfo+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + else + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for getpwnam_r with 4 args" >&5 +$as_echo_n "checking for getpwnam_r with 4 args... " >&6; } +if ${tcl_cv_api_getpwnam_r_4+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -#include -#include -#include + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + #include + #include int main () { -if ((struct addrinfo *) 0) - return 0; -if (sizeof (struct addrinfo)) - return 0; + + char *name; + struct passwd pw; + char buf[512]; + int buflen = 512; + + (void)getpwnam_r(name, &pw, buf, buflen); + ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_type_struct_addrinfo=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_getpwnam_r_4=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_type_struct_addrinfo=no + tcl_cv_api_getpwnam_r_4=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_type_struct_addrinfo" >&5 -echo "${ECHO_T}$ac_cv_type_struct_addrinfo" >&6 -if test $ac_cv_type_struct_addrinfo = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_getpwnam_r_4" >&5 +$as_echo "$tcl_cv_api_getpwnam_r_4" >&6; } + tcl_ok=$tcl_cv_api_getpwnam_r_4 + if test "$tcl_ok" = yes; then -cat >>confdefs.h <<_ACEOF -#define HAVE_STRUCT_ADDRINFO 1 -_ACEOF +$as_echo "#define HAVE_GETPWNAM_R_4 1" >>confdefs.h + + fi + fi + if test "$tcl_ok" = yes; then +$as_echo "#define HAVE_GETPWNAM_R 1" >>confdefs.h + + fi -else - NEED_FAKE_RFC2553=1 fi -echo "$as_me:$LINENO: checking for struct in6_addr" >&5 -echo $ECHO_N "checking for struct in6_addr... $ECHO_C" >&6 -if test "${ac_cv_type_struct_in6_addr+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + + ac_fn_c_check_func "$LINENO" "getgrgid_r" "ac_cv_func_getgrgid_r" +if test "x$ac_cv_func_getgrgid_r" = xyes; then : + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for getgrgid_r with 5 args" >&5 +$as_echo_n "checking for getgrgid_r with 5 args... " >&6; } +if ${tcl_cv_api_getgrgid_r_5+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -#include -#include -#include + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + #include + #include int main () { -if ((struct in6_addr *) 0) - return 0; -if (sizeof (struct in6_addr)) - return 0; + + gid_t gid; + struct group gr, *grp; + char buf[512]; + int buflen = 512; + + (void) getgrgid_r(gid, &gr, buf, buflen, &grp); + ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_type_struct_in6_addr=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_getgrgid_r_5=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_type_struct_in6_addr=no + tcl_cv_api_getgrgid_r_5=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_type_struct_in6_addr" >&5 -echo "${ECHO_T}$ac_cv_type_struct_in6_addr" >&6 -if test $ac_cv_type_struct_in6_addr = yes; then - -cat >>confdefs.h <<_ACEOF -#define HAVE_STRUCT_IN6_ADDR 1 -_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_getgrgid_r_5" >&5 +$as_echo "$tcl_cv_api_getgrgid_r_5" >&6; } + tcl_ok=$tcl_cv_api_getgrgid_r_5 + if test "$tcl_ok" = yes; then +$as_echo "#define HAVE_GETGRGID_R_5 1" >>confdefs.h + else + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for getgrgid_r with 4 args" >&5 +$as_echo_n "checking for getgrgid_r with 4 args... " >&6; } +if ${tcl_cv_api_getgrgid_r_4+:} false; then : + $as_echo_n "(cached) " >&6 else - NEED_FAKE_RFC2553=1 -fi -echo "$as_me:$LINENO: checking for struct sockaddr_in6" >&5 -echo $ECHO_N "checking for struct sockaddr_in6... $ECHO_C" >&6 -if test "${ac_cv_type_struct_sockaddr_in6+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -#include -#include -#include + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + #include + #include int main () { -if ((struct sockaddr_in6 *) 0) - return 0; -if (sizeof (struct sockaddr_in6)) - return 0; + + gid_t gid; + struct group gr; + char buf[512]; + int buflen = 512; + + (void)getgrgid_r(gid, &gr, buf, buflen); + ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_type_struct_sockaddr_in6=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_getgrgid_r_4=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_type_struct_sockaddr_in6=no + tcl_cv_api_getgrgid_r_4=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_type_struct_sockaddr_in6" >&5 -echo "${ECHO_T}$ac_cv_type_struct_sockaddr_in6" >&6 -if test $ac_cv_type_struct_sockaddr_in6 = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_getgrgid_r_4" >&5 +$as_echo "$tcl_cv_api_getgrgid_r_4" >&6; } + tcl_ok=$tcl_cv_api_getgrgid_r_4 + if test "$tcl_ok" = yes; then -cat >>confdefs.h <<_ACEOF -#define HAVE_STRUCT_SOCKADDR_IN6 1 -_ACEOF +$as_echo "#define HAVE_GETGRGID_R_4 1" >>confdefs.h + fi + fi + if test "$tcl_ok" = yes; then + +$as_echo "#define HAVE_GETGRGID_R 1" >>confdefs.h + + fi -else - NEED_FAKE_RFC2553=1 fi -echo "$as_me:$LINENO: checking for struct sockaddr_storage" >&5 -echo $ECHO_N "checking for struct sockaddr_storage... $ECHO_C" >&6 -if test "${ac_cv_type_struct_sockaddr_storage+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + + ac_fn_c_check_func "$LINENO" "getgrnam_r" "ac_cv_func_getgrnam_r" +if test "x$ac_cv_func_getgrnam_r" = xyes; then : + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for getgrnam_r with 5 args" >&5 +$as_echo_n "checking for getgrnam_r with 5 args... " >&6; } +if ${tcl_cv_api_getgrnam_r_5+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -#include -#include -#include + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + #include + #include int main () { -if ((struct sockaddr_storage *) 0) - return 0; -if (sizeof (struct sockaddr_storage)) - return 0; + + char *name; + struct group gr, *grp; + char buf[512]; + int buflen = 512; + + (void) getgrnam_r(name, &gr, buf, buflen, &grp); + ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_type_struct_sockaddr_storage=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_getgrnam_r_5=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_type_struct_sockaddr_storage=no + tcl_cv_api_getgrnam_r_5=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_type_struct_sockaddr_storage" >&5 -echo "${ECHO_T}$ac_cv_type_struct_sockaddr_storage" >&6 -if test $ac_cv_type_struct_sockaddr_storage = yes; then - -cat >>confdefs.h <<_ACEOF -#define HAVE_STRUCT_SOCKADDR_STORAGE 1 -_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_getgrnam_r_5" >&5 +$as_echo "$tcl_cv_api_getgrnam_r_5" >&6; } + tcl_ok=$tcl_cv_api_getgrnam_r_5 + if test "$tcl_ok" = yes; then +$as_echo "#define HAVE_GETGRNAM_R_5 1" >>confdefs.h + else + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for getgrnam_r with 4 args" >&5 +$as_echo_n "checking for getgrnam_r with 4 args... " >&6; } +if ${tcl_cv_api_getgrnam_r_4+:} false; then : + $as_echo_n "(cached) " >&6 else - NEED_FAKE_RFC2553=1 -fi - -if test "x$NEED_FAKE_RFC2553" = "x1"; then - -cat >>confdefs.h <<\_ACEOF -#define NEED_FAKE_RFC2553 1 -_ACEOF - case $LIBOBJS in - "fake-rfc2553.$ac_objext" | \ - *" fake-rfc2553.$ac_objext" | \ - "fake-rfc2553.$ac_objext "* | \ - *" fake-rfc2553.$ac_objext "* ) ;; - *) LIBOBJS="$LIBOBJS fake-rfc2553.$ac_objext" ;; -esac - - echo "$as_me:$LINENO: checking for strlcpy" >&5 -echo $ECHO_N "checking for strlcpy... $ECHO_C" >&6 -if test "${ac_cv_func_strlcpy+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Define strlcpy to an innocuous variant, in case declares strlcpy. - For example, HP-UX 11i declares gettimeofday. */ -#define strlcpy innocuous_strlcpy - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char strlcpy (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif -#undef strlcpy - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char strlcpy (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_strlcpy) || defined (__stub___strlcpy) -choke me -#else -char (*f) () = strlcpy; -#endif -#ifdef __cplusplus -} -#endif + #include + #include int main () { -return f != strlcpy; + + char *name; + struct group gr; + char buf[512]; + int buflen = 512; + + (void)getgrnam_r(name, &gr, buf, buflen); + ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_strlcpy=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_getgrnam_r_4=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_func_strlcpy=no + tcl_cv_api_getgrnam_r_4=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_func_strlcpy" >&5 -echo "${ECHO_T}$ac_cv_func_strlcpy" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_getgrnam_r_4" >&5 +$as_echo "$tcl_cv_api_getgrnam_r_4" >&6; } + tcl_ok=$tcl_cv_api_getgrnam_r_4 + if test "$tcl_ok" = yes; then + +$as_echo "#define HAVE_GETGRNAM_R_4 1" >>confdefs.h + + fi + fi + if test "$tcl_ok" = yes; then + +$as_echo "#define HAVE_GETGRNAM_R 1" >>confdefs.h + + fi fi + if test "`uname -s`" = "Darwin" && \ + test "`uname -r | awk -F. '{print $1}'`" -gt 5; then + # Starting with Darwin 6 (Mac OSX 10.2), gethostbyX + # are actually MT-safe as they always return pointers + # from TSD instead of static storage. -#-------------------------------------------------------------------- -# Look for thread-safe variants of some library functions. -#-------------------------------------------------------------------- +$as_echo "#define HAVE_MTSAFE_GETHOSTBYNAME 1" >>confdefs.h -if test "${TCL_THREADS}" = 1; then - echo "$as_me:$LINENO: checking for getpwuid_r" >&5 -echo $ECHO_N "checking for getpwuid_r... $ECHO_C" >&6 -if test "${ac_cv_func_getpwuid_r+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define getpwuid_r to an innocuous variant, in case declares getpwuid_r. - For example, HP-UX 11i declares gettimeofday. */ -#define getpwuid_r innocuous_getpwuid_r -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char getpwuid_r (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ +$as_echo "#define HAVE_MTSAFE_GETHOSTBYADDR 1" >>confdefs.h -#ifdef __STDC__ -# include -#else -# include -#endif -#undef getpwuid_r + elif test "`uname -s`" = "HP-UX" && \ + test "`uname -r|sed -e 's|B\.||' -e 's|\..*$||'`" -gt 10; then + # Starting with HPUX 11.00 (we believe), gethostbyX + # are actually MT-safe as they always return pointers + # from TSD instead of static storage. -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char getpwuid_r (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_getpwuid_r) || defined (__stub___getpwuid_r) -choke me -#else -char (*f) () = getpwuid_r; -#endif -#ifdef __cplusplus -} -#endif +$as_echo "#define HAVE_MTSAFE_GETHOSTBYNAME 1" >>confdefs.h + + +$as_echo "#define HAVE_MTSAFE_GETHOSTBYADDR 1" >>confdefs.h + + + else + ac_fn_c_check_func "$LINENO" "gethostbyname_r" "ac_cv_func_gethostbyname_r" +if test "x$ac_cv_func_gethostbyname_r" = xyes; then : + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for gethostbyname_r with 6 args" >&5 +$as_echo_n "checking for gethostbyname_r with 6 args... " >&6; } +if ${tcl_cv_api_gethostbyname_r_6+:} false; then : + $as_echo_n "(cached) " >&6 +else + + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + + #include int main () { -return f != getpwuid_r; + + char *name; + struct hostent *he, *res; + char buffer[2048]; + int buflen = 2048; + int h_errnop; + + (void) gethostbyname_r(name, he, buffer, buflen, &res, &h_errnop); + ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_getpwuid_r=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_gethostbyname_r_6=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_func_getpwuid_r=no + tcl_cv_api_gethostbyname_r_6=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_func_getpwuid_r" >&5 -echo "${ECHO_T}$ac_cv_func_getpwuid_r" >&6 -if test $ac_cv_func_getpwuid_r = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_gethostbyname_r_6" >&5 +$as_echo "$tcl_cv_api_gethostbyname_r_6" >&6; } + tcl_ok=$tcl_cv_api_gethostbyname_r_6 + if test "$tcl_ok" = yes; then + +$as_echo "#define HAVE_GETHOSTBYNAME_R_6 1" >>confdefs.h - echo "$as_me:$LINENO: checking for getpwuid_r with 5 args" >&5 -echo $ECHO_N "checking for getpwuid_r with 5 args... $ECHO_C" >&6 -if test "${tcl_cv_api_getpwuid_r_5+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + else + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for gethostbyname_r with 5 args" >&5 +$as_echo_n "checking for gethostbyname_r with 5 args... " >&6; } +if ${tcl_cv_api_gethostbyname_r_5+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ - #include - #include + #include int main () { - uid_t uid; - struct passwd pw, *pwp; - char buf[512]; - int buflen = 512; + char *name; + struct hostent *he; + char buffer[2048]; + int buflen = 2048; + int h_errnop; - (void) getpwuid_r(uid, &pw, buf, buflen, &pwp); + (void) gethostbyname_r(name, he, buffer, buflen, &h_errnop); ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_api_getpwuid_r_5=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_gethostbyname_r_5=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_api_getpwuid_r_5=no + tcl_cv_api_gethostbyname_r_5=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_api_getpwuid_r_5" >&5 -echo "${ECHO_T}$tcl_cv_api_getpwuid_r_5" >&6 - tcl_ok=$tcl_cv_api_getpwuid_r_5 - if test "$tcl_ok" = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_gethostbyname_r_5" >&5 +$as_echo "$tcl_cv_api_gethostbyname_r_5" >&6; } + tcl_ok=$tcl_cv_api_gethostbyname_r_5 + if test "$tcl_ok" = yes; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETPWUID_R_5 1 -_ACEOF +$as_echo "#define HAVE_GETHOSTBYNAME_R_5 1" >>confdefs.h - else - echo "$as_me:$LINENO: checking for getpwuid_r with 4 args" >&5 -echo $ECHO_N "checking for getpwuid_r with 4 args... $ECHO_C" >&6 -if test "${tcl_cv_api_getpwuid_r_4+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + else + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for gethostbyname_r with 3 args" >&5 +$as_echo_n "checking for gethostbyname_r with 3 args... " >&6; } +if ${tcl_cv_api_gethostbyname_r_3+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ - #include - #include + #include int main () { - uid_t uid; - struct passwd pw; - char buf[512]; - int buflen = 512; + char *name; + struct hostent *he; + struct hostent_data data; - (void)getpwnam_r(uid, &pw, buf, buflen); + (void) gethostbyname_r(name, he, &data); ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_api_getpwuid_r_4=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_gethostbyname_r_3=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_api_getpwuid_r_4=no + tcl_cv_api_gethostbyname_r_3=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_api_getpwuid_r_4" >&5 -echo "${ECHO_T}$tcl_cv_api_getpwuid_r_4" >&6 - tcl_ok=$tcl_cv_api_getpwuid_r_4 - if test "$tcl_ok" = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_gethostbyname_r_3" >&5 +$as_echo "$tcl_cv_api_gethostbyname_r_3" >&6; } + tcl_ok=$tcl_cv_api_gethostbyname_r_3 + if test "$tcl_ok" = yes; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETPWUID_R_4 1 -_ACEOF +$as_echo "#define HAVE_GETHOSTBYNAME_R_3 1" >>confdefs.h + fi fi fi if test "$tcl_ok" = yes; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETPWUID_R 1 -_ACEOF +$as_echo "#define HAVE_GETHOSTBYNAME_R 1" >>confdefs.h fi fi - echo "$as_me:$LINENO: checking for getpwnam_r" >&5 -echo $ECHO_N "checking for getpwnam_r... $ECHO_C" >&6 -if test "${ac_cv_func_getpwnam_r+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define getpwnam_r to an innocuous variant, in case declares getpwnam_r. - For example, HP-UX 11i declares gettimeofday. */ -#define getpwnam_r innocuous_getpwnam_r - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char getpwnam_r (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif - -#undef getpwnam_r - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char getpwnam_r (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_getpwnam_r) || defined (__stub___getpwnam_r) -choke me -#else -char (*f) () = getpwnam_r; -#endif -#ifdef __cplusplus -} -#endif - -int -main () -{ -return f != getpwnam_r; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_getpwnam_r=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_func_getpwnam_r=no -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: $ac_cv_func_getpwnam_r" >&5 -echo "${ECHO_T}$ac_cv_func_getpwnam_r" >&6 -if test $ac_cv_func_getpwnam_r = yes; then + ac_fn_c_check_func "$LINENO" "gethostbyaddr_r" "ac_cv_func_gethostbyaddr_r" +if test "x$ac_cv_func_gethostbyaddr_r" = xyes; then : - echo "$as_me:$LINENO: checking for getpwnam_r with 5 args" >&5 -echo $ECHO_N "checking for getpwnam_r with 5 args... $ECHO_C" >&6 -if test "${tcl_cv_api_getpwnam_r_5+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for gethostbyaddr_r with 7 args" >&5 +$as_echo_n "checking for gethostbyaddr_r with 7 args... " >&6; } +if ${tcl_cv_api_gethostbyaddr_r_7+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ - #include - #include + #include int main () { - char *name; - struct passwd pw, *pwp; - char buf[512]; - int buflen = 512; + char *addr; + int length; + int type; + struct hostent *result; + char buffer[2048]; + int buflen = 2048; + int h_errnop; - (void) getpwnam_r(name, &pw, buf, buflen, &pwp); + (void) gethostbyaddr_r(addr, length, type, result, buffer, buflen, + &h_errnop); ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_api_getpwnam_r_5=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_gethostbyaddr_r_7=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_api_getpwnam_r_5=no + tcl_cv_api_gethostbyaddr_r_7=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_api_getpwnam_r_5" >&5 -echo "${ECHO_T}$tcl_cv_api_getpwnam_r_5" >&6 - tcl_ok=$tcl_cv_api_getpwnam_r_5 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_gethostbyaddr_r_7" >&5 +$as_echo "$tcl_cv_api_gethostbyaddr_r_7" >&6; } + tcl_ok=$tcl_cv_api_gethostbyaddr_r_7 if test "$tcl_ok" = yes; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETPWNAM_R_5 1 -_ACEOF +$as_echo "#define HAVE_GETHOSTBYADDR_R_7 1" >>confdefs.h else - echo "$as_me:$LINENO: checking for getpwnam_r with 4 args" >&5 -echo $ECHO_N "checking for getpwnam_r with 4 args... $ECHO_C" >&6 -if test "${tcl_cv_api_getpwnam_r_4+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for gethostbyaddr_r with 8 args" >&5 +$as_echo_n "checking for gethostbyaddr_r with 8 args... " >&6; } +if ${tcl_cv_api_gethostbyaddr_r_8+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ - #include - #include + #include int main () { - char *name; - struct passwd pw; - char buf[512]; - int buflen = 512; + char *addr; + int length; + int type; + struct hostent *result, *resultp; + char buffer[2048]; + int buflen = 2048; + int h_errnop; - (void)getpwnam_r(name, &pw, buf, buflen); + (void) gethostbyaddr_r(addr, length, type, result, buffer, buflen, + &resultp, &h_errnop); ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_api_getpwnam_r_4=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_api_gethostbyaddr_r_8=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_api_getpwnam_r_4=no + tcl_cv_api_gethostbyaddr_r_8=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_api_getpwnam_r_4" >&5 -echo "${ECHO_T}$tcl_cv_api_getpwnam_r_4" >&6 - tcl_ok=$tcl_cv_api_getpwnam_r_4 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_gethostbyaddr_r_8" >&5 +$as_echo "$tcl_cv_api_gethostbyaddr_r_8" >&6; } + tcl_ok=$tcl_cv_api_gethostbyaddr_r_8 if test "$tcl_ok" = yes; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETPWNAM_R_4 1 -_ACEOF +$as_echo "#define HAVE_GETHOSTBYADDR_R_8 1" >>confdefs.h fi fi if test "$tcl_ok" = yes; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETPWNAM_R 1 -_ACEOF +$as_echo "#define HAVE_GETHOSTBYADDR_R 1" >>confdefs.h fi fi - echo "$as_me:$LINENO: checking for getgrgid_r" >&5 -echo $ECHO_N "checking for getgrgid_r... $ECHO_C" >&6 -if test "${ac_cv_func_getgrgid_r+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define getgrgid_r to an innocuous variant, in case declares getgrgid_r. - For example, HP-UX 11i declares gettimeofday. */ -#define getgrgid_r innocuous_getgrgid_r + fi +fi -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char getgrgid_r (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ +#--------------------------------------------------------------------------- +# Check for serial port interface. +# +# termios.h is present on all POSIX systems. +# sys/ioctl.h is almost always present, though what it contains +# is system-specific. +# sys/modem.h is needed on HP-UX. +#--------------------------------------------------------------------------- -#ifdef __STDC__ -# include -#else -# include -#endif +for ac_header in termios.h +do : + ac_fn_c_check_header_mongrel "$LINENO" "termios.h" "ac_cv_header_termios_h" "$ac_includes_default" +if test "x$ac_cv_header_termios_h" = xyes; then : + cat >>confdefs.h <<_ACEOF +#define HAVE_TERMIOS_H 1 +_ACEOF -#undef getgrgid_r +fi -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char getgrgid_r (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_getgrgid_r) || defined (__stub___getgrgid_r) -choke me -#else -char (*f) () = getgrgid_r; -#endif -#ifdef __cplusplus -} -#endif +done -int -main () -{ -return f != getgrgid_r; - ; - return 0; -} +for ac_header in sys/ioctl.h +do : + ac_fn_c_check_header_mongrel "$LINENO" "sys/ioctl.h" "ac_cv_header_sys_ioctl_h" "$ac_includes_default" +if test "x$ac_cv_header_sys_ioctl_h" = xyes; then : + cat >>confdefs.h <<_ACEOF +#define HAVE_SYS_IOCTL_H 1 _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_getgrgid_r=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 -ac_cv_func_getgrgid_r=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: $ac_cv_func_getgrgid_r" >&5 -echo "${ECHO_T}$ac_cv_func_getgrgid_r" >&6 -if test $ac_cv_func_getgrgid_r = yes; then - echo "$as_me:$LINENO: checking for getgrgid_r with 5 args" >&5 -echo $ECHO_N "checking for getgrgid_r with 5 args... $ECHO_C" >&6 -if test "${tcl_cv_api_getgrgid_r_5+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else +done - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ +for ac_header in sys/modem.h +do : + ac_fn_c_check_header_mongrel "$LINENO" "sys/modem.h" "ac_cv_header_sys_modem_h" "$ac_includes_default" +if test "x$ac_cv_header_sys_modem_h" = xyes; then : + cat >>confdefs.h <<_ACEOF +#define HAVE_SYS_MODEM_H 1 +_ACEOF - #include - #include +fi -int -main () -{ +done - gid_t gid; - struct group gr, *grp; - char buf[512]; - int buflen = 512; - (void) getgrgid_r(gid, &gr, buf, buflen, &grp); +#-------------------------------------------------------------------- +# Include sys/select.h if it exists and if it supplies things +# that appear to be useful and aren't already in sys/types.h. +# This appears to be true only on the RS/6000 under AIX. Some +# systems like OSF/1 have a sys/select.h that's of no use, and +# other systems like SCO UNIX have a sys/select.h that's +# pernicious. If "fd_set" isn't defined anywhere then set a +# special flag. +#-------------------------------------------------------------------- + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for fd_set in sys/types" >&5 +$as_echo_n "checking for fd_set in sys/types... " >&6; } +if ${tcl_cv_type_fd_set+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include +int +main () +{ +fd_set readMask, writeMask; ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_api_getgrgid_r_5=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_type_fd_set=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_api_getgrgid_r_5=no + tcl_cv_type_fd_set=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_api_getgrgid_r_5" >&5 -echo "${ECHO_T}$tcl_cv_api_getgrgid_r_5" >&6 - tcl_ok=$tcl_cv_api_getgrgid_r_5 - if test "$tcl_ok" = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_type_fd_set" >&5 +$as_echo "$tcl_cv_type_fd_set" >&6; } +tcl_ok=$tcl_cv_type_fd_set +if test $tcl_ok = no; then + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for fd_mask in sys/select" >&5 +$as_echo_n "checking for fd_mask in sys/select... " >&6; } +if ${tcl_cv_grep_fd_mask+:} false; then : + $as_echo_n "(cached) " >&6 +else -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETGRGID_R_5 1 -_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include - else - echo "$as_me:$LINENO: checking for getgrgid_r with 4 args" >&5 -echo $ECHO_N "checking for getgrgid_r with 4 args... $ECHO_C" >&6 -if test "${tcl_cv_api_getgrgid_r_4+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +_ACEOF +if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | + $EGREP "fd_mask" >/dev/null 2>&1; then : + tcl_cv_grep_fd_mask=present else + tcl_cv_grep_fd_mask=missing +fi +rm -f conftest* + +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_grep_fd_mask" >&5 +$as_echo "$tcl_cv_grep_fd_mask" >&6; } + if test $tcl_cv_grep_fd_mask = present; then + +$as_echo "#define HAVE_SYS_SELECT_H 1" >>confdefs.h + + tcl_ok=yes + fi +fi +if test $tcl_ok = no; then - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ +$as_echo "#define NO_FD_SET 1" >>confdefs.h + +fi + +#------------------------------------------------------------------------------ +# Find out all about time handling differences. +#------------------------------------------------------------------------------ + + + for ac_header in sys/time.h +do : + ac_fn_c_check_header_mongrel "$LINENO" "sys/time.h" "ac_cv_header_sys_time_h" "$ac_includes_default" +if test "x$ac_cv_header_sys_time_h" = xyes; then : + cat >>confdefs.h <<_ACEOF +#define HAVE_SYS_TIME_H 1 _ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ - #include - #include +fi + +done + + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether time.h and sys/time.h may both be included" >&5 +$as_echo_n "checking whether time.h and sys/time.h may both be included... " >&6; } +if ${ac_cv_header_time+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include +#include +#include int main () { - - gid_t gid; - struct group gr; - char buf[512]; - int buflen = 512; - - (void)getgrgid_r(gid, &gr, buf, buflen); - +if ((struct tm *) 0) +return 0; ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_api_getgrgid_r_4=yes +if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_header_time=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_api_getgrgid_r_4=no + ac_cv_header_time=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_api_getgrgid_r_4" >&5 -echo "${ECHO_T}$tcl_cv_api_getgrgid_r_4" >&6 - tcl_ok=$tcl_cv_api_getgrgid_r_4 - if test "$tcl_ok" = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_header_time" >&5 +$as_echo "$ac_cv_header_time" >&6; } +if test $ac_cv_header_time = yes; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETGRGID_R_4 1 -_ACEOF +$as_echo "#define TIME_WITH_SYS_TIME 1" >>confdefs.h - fi - fi - if test "$tcl_ok" = yes; then +fi -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETGRGID_R 1 -_ACEOF - fi + for ac_func in gmtime_r localtime_r mktime +do : + as_ac_var=`$as_echo "ac_cv_func_$ac_func" | $as_tr_sh` +ac_fn_c_check_func "$LINENO" "$ac_func" "$as_ac_var" +if eval test \"x\$"$as_ac_var"\" = x"yes"; then : + cat >>confdefs.h <<_ACEOF +#define `$as_echo "HAVE_$ac_func" | $as_tr_cpp` 1 +_ACEOF fi +done + - echo "$as_me:$LINENO: checking for getgrnam_r" >&5 -echo $ECHO_N "checking for getgrnam_r... $ECHO_C" >&6 -if test "${ac_cv_func_getgrnam_r+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking tm_tzadj in struct tm" >&5 +$as_echo_n "checking tm_tzadj in struct tm... " >&6; } +if ${tcl_cv_member_tm_tzadj+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define getgrnam_r to an innocuous variant, in case declares getgrnam_r. - For example, HP-UX 11i declares gettimeofday. */ -#define getgrnam_r innocuous_getgrnam_r -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char getgrnam_r (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include +int +main () +{ +struct tm tm; tm.tm_tzadj; + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_member_tm_tzadj=yes +else + tcl_cv_member_tm_tzadj=no +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_member_tm_tzadj" >&5 +$as_echo "$tcl_cv_member_tm_tzadj" >&6; } + if test $tcl_cv_member_tm_tzadj = yes ; then -#ifdef __STDC__ -# include -#else -# include -#endif +$as_echo "#define HAVE_TM_TZADJ 1" >>confdefs.h -#undef getgrnam_r + fi -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char getgrnam_r (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_getgrnam_r) || defined (__stub___getgrnam_r) -choke me -#else -char (*f) () = getgrnam_r; -#endif -#ifdef __cplusplus -} -#endif + { $as_echo "$as_me:${as_lineno-$LINENO}: checking tm_gmtoff in struct tm" >&5 +$as_echo_n "checking tm_gmtoff in struct tm... " >&6; } +if ${tcl_cv_member_tm_gmtoff+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include int main () { -return f != getgrnam_r; +struct tm tm; tm.tm_gmtoff; ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_getgrnam_r=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_member_tm_gmtoff=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_func_getgrnam_r=no + tcl_cv_member_tm_gmtoff=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_func_getgrnam_r" >&5 -echo "${ECHO_T}$ac_cv_func_getgrnam_r" >&6 -if test $ac_cv_func_getgrnam_r = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_member_tm_gmtoff" >&5 +$as_echo "$tcl_cv_member_tm_gmtoff" >&6; } + if test $tcl_cv_member_tm_gmtoff = yes ; then - echo "$as_me:$LINENO: checking for getgrnam_r with 5 args" >&5 -echo $ECHO_N "checking for getgrnam_r with 5 args... $ECHO_C" >&6 -if test "${tcl_cv_api_getgrnam_r_5+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else +$as_echo "#define HAVE_TM_GMTOFF 1" >>confdefs.h - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ + fi - #include - #include + # + # Its important to include time.h in this check, as some systems + # (like convex) have timezone functions, etc. + # + { $as_echo "$as_me:${as_lineno-$LINENO}: checking long timezone variable" >&5 +$as_echo_n "checking long timezone variable... " >&6; } +if ${tcl_cv_timezone_long+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include int main () { - - char *name; - struct group gr, *grp; - char buf[512]; - int buflen = 512; - - (void) getgrnam_r(name, &gr, buf, buflen, &grp); - +extern long timezone; + timezone += 1; + exit (0); ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_api_getgrnam_r_5=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_timezone_long=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_api_getgrnam_r_5=no + tcl_cv_timezone_long=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_api_getgrnam_r_5" >&5 -echo "${ECHO_T}$tcl_cv_api_getgrnam_r_5" >&6 - tcl_ok=$tcl_cv_api_getgrnam_r_5 - if test "$tcl_ok" = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_timezone_long" >&5 +$as_echo "$tcl_cv_timezone_long" >&6; } + if test $tcl_cv_timezone_long = yes ; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETGRNAM_R_5 1 -_ACEOF +$as_echo "#define HAVE_TIMEZONE_VAR 1" >>confdefs.h else - echo "$as_me:$LINENO: checking for getgrnam_r with 4 args" >&5 -echo $ECHO_N "checking for getgrnam_r with 4 args... $ECHO_C" >&6 -if test "${tcl_cv_api_getgrnam_r_4+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + # + # On some systems (eg IRIX 6.2), timezone is a time_t and not a long. + # + { $as_echo "$as_me:${as_lineno-$LINENO}: checking time_t timezone variable" >&5 +$as_echo_n "checking time_t timezone variable... " >&6; } +if ${tcl_cv_timezone_time+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ - - #include - #include - +#include int main () { - - char *name; - struct group gr; - char buf[512]; - int buflen = 512; - - (void)getgrnam_r(name, &gr, buf, buflen); - +extern time_t timezone; + timezone += 1; + exit (0); ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_api_getgrnam_r_4=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_timezone_time=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_api_getgrnam_r_4=no + tcl_cv_timezone_time=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_api_getgrnam_r_4" >&5 -echo "${ECHO_T}$tcl_cv_api_getgrnam_r_4" >&6 - tcl_ok=$tcl_cv_api_getgrnam_r_4 - if test "$tcl_ok" = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_timezone_time" >&5 +$as_echo "$tcl_cv_timezone_time" >&6; } + if test $tcl_cv_timezone_time = yes ; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETGRNAM_R_4 1 -_ACEOF +$as_echo "#define HAVE_TIMEZONE_VAR 1" >>confdefs.h fi fi - if test "$tcl_ok" = yes; then - -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETGRNAM_R 1 -_ACEOF - fi -fi +#-------------------------------------------------------------------- +# Some systems (e.g., IRIX 4.0.5) lack some fields in struct stat. But +# we might be able to use fstatfs instead. Some systems (OpenBSD?) also +# lack blkcnt_t. +#-------------------------------------------------------------------- - if test "`uname -s`" = "Darwin" && \ - test "`uname -r | awk -F. '{print $1}'`" -gt 5; then - # Starting with Darwin 6 (Mac OSX 10.2), gethostbyX - # are actually MT-safe as they always return pointers - # from TSD instead of static storage. +if test "$ac_cv_cygwin" != "yes"; then + ac_fn_c_check_member "$LINENO" "struct stat" "st_blocks" "ac_cv_member_struct_stat_st_blocks" "$ac_includes_default" +if test "x$ac_cv_member_struct_stat_st_blocks" = xyes; then : -cat >>confdefs.h <<\_ACEOF -#define HAVE_MTSAFE_GETHOSTBYNAME 1 +cat >>confdefs.h <<_ACEOF +#define HAVE_STRUCT_STAT_ST_BLOCKS 1 _ACEOF -cat >>confdefs.h <<\_ACEOF -#define HAVE_MTSAFE_GETHOSTBYADDR 1 +fi +ac_fn_c_check_member "$LINENO" "struct stat" "st_blksize" "ac_cv_member_struct_stat_st_blksize" "$ac_includes_default" +if test "x$ac_cv_member_struct_stat_st_blksize" = xyes; then : + +cat >>confdefs.h <<_ACEOF +#define HAVE_STRUCT_STAT_ST_BLKSIZE 1 _ACEOF - elif test "`uname -s`" = "HP-UX" && \ - test "`uname -r|sed -e 's|B\.||' -e 's|\..*$||'`" -gt 10; then - # Starting with HPUX 11.00 (we believe), gethostbyX - # are actually MT-safe as they always return pointers - # from TSD instead of static storage. +fi + +fi +ac_fn_c_check_type "$LINENO" "blkcnt_t" "ac_cv_type_blkcnt_t" "$ac_includes_default" +if test "x$ac_cv_type_blkcnt_t" = xyes; then : -cat >>confdefs.h <<\_ACEOF -#define HAVE_MTSAFE_GETHOSTBYNAME 1 +cat >>confdefs.h <<_ACEOF +#define HAVE_BLKCNT_T 1 _ACEOF -cat >>confdefs.h <<\_ACEOF -#define HAVE_MTSAFE_GETHOSTBYADDR 1 -_ACEOF +fi +ac_fn_c_check_func "$LINENO" "fstatfs" "ac_cv_func_fstatfs" +if test "x$ac_cv_func_fstatfs" = xyes; then : - else - echo "$as_me:$LINENO: checking for gethostbyname_r" >&5 -echo $ECHO_N "checking for gethostbyname_r... $ECHO_C" >&6 -if test "${ac_cv_func_gethostbyname_r+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define gethostbyname_r to an innocuous variant, in case declares gethostbyname_r. - For example, HP-UX 11i declares gettimeofday. */ -#define gethostbyname_r innocuous_gethostbyname_r -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char gethostbyname_r (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ +$as_echo "#define NO_FSTATFS 1" >>confdefs.h -#ifdef __STDC__ -# include -#else -# include -#endif +fi -#undef gethostbyname_r -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char gethostbyname_r (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_gethostbyname_r) || defined (__stub___gethostbyname_r) -choke me -#else -char (*f) () = gethostbyname_r; -#endif -#ifdef __cplusplus -} -#endif +#-------------------------------------------------------------------- +# Some system have no memcmp or it does not work with 8 bit data, this +# checks it and add memcmp.o to LIBOBJS if needed +#-------------------------------------------------------------------- +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for working memcmp" >&5 +$as_echo_n "checking for working memcmp... " >&6; } +if ${ac_cv_func_memcmp_working+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test "$cross_compiling" = yes; then : + ac_cv_func_memcmp_working=no +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +$ac_includes_default int main () { -return f != gethostbyname_r; + + /* Some versions of memcmp are not 8-bit clean. */ + char c0 = '\100', c1 = '\200', c2 = '\201'; + if (memcmp(&c0, &c2, 1) >= 0 || memcmp(&c1, &c2, 1) >= 0) + return 1; + + /* The Next x86 OpenStep bug shows up only when comparing 16 bytes + or more and with at least one buffer not starting on a 4-byte boundary. + William Lewis provided this test program. */ + { + char foo[21]; + char bar[21]; + int i; + for (i = 0; i < 4; i++) + { + char *a = foo + i; + char *b = bar + i; + strcpy (a, "--------01111111"); + strcpy (b, "--------10000000"); + if (memcmp (a, b, 16) >= 0) + return 1; + } + return 0; + } + ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_gethostbyname_r=yes +if ac_fn_c_try_run "$LINENO"; then : + ac_cv_func_memcmp_working=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_func_gethostbyname_r=no + ac_cv_func_memcmp_working=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_func_gethostbyname_r" >&5 -echo "${ECHO_T}$ac_cv_func_gethostbyname_r" >&6 -if test $ac_cv_func_gethostbyname_r = yes; then - echo "$as_me:$LINENO: checking for gethostbyname_r with 6 args" >&5 -echo $ECHO_N "checking for gethostbyname_r with 6 args... $ECHO_C" >&6 -if test "${tcl_cv_api_gethostbyname_r_6+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_func_memcmp_working" >&5 +$as_echo "$ac_cv_func_memcmp_working" >&6; } +test $ac_cv_func_memcmp_working = no && case " $LIBOBJS " in + *" memcmp.$ac_objext "* ) ;; + *) LIBOBJS="$LIBOBJS memcmp.$ac_objext" + ;; +esac - #include -int -main () -{ - char *name; - struct hostent *he, *res; - char buffer[2048]; - int buflen = 2048; - int h_errnop; +#-------------------------------------------------------------------- +# Some system like SunOS 4 and other BSD like systems have no memmove +# (we assume they have bcopy instead). {The replacement define is in +# compat/string.h} +#-------------------------------------------------------------------- - (void) gethostbyname_r(name, he, buffer, buflen, &res, &h_errnop); +ac_fn_c_check_func "$LINENO" "memmove" "ac_cv_func_memmove" +if test "x$ac_cv_func_memmove" = xyes; then : - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_api_gethostbyname_r_6=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 -tcl_cv_api_gethostbyname_r_6=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: $tcl_cv_api_gethostbyname_r_6" >&5 -echo "${ECHO_T}$tcl_cv_api_gethostbyname_r_6" >&6 - tcl_ok=$tcl_cv_api_gethostbyname_r_6 - if test "$tcl_ok" = yes; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETHOSTBYNAME_R_6 1 -_ACEOF +$as_echo "#define NO_MEMMOVE 1" >>confdefs.h - else - echo "$as_me:$LINENO: checking for gethostbyname_r with 5 args" >&5 -echo $ECHO_N "checking for gethostbyname_r with 5 args... $ECHO_C" >&6 -if test "${tcl_cv_api_gethostbyname_r_5+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ +$as_echo "#define NO_STRING_H 1" >>confdefs.h - #include +fi -int -main () -{ - char *name; - struct hostent *he; - char buffer[2048]; - int buflen = 2048; - int h_errnop; +#-------------------------------------------------------------------- +# On some systems strstr is broken: it returns a pointer even even if +# the original string is empty. +#-------------------------------------------------------------------- - (void) gethostbyname_r(name, he, buffer, buflen, &h_errnop); - ; - return 0; + ac_fn_c_check_func "$LINENO" "strstr" "ac_cv_func_strstr" +if test "x$ac_cv_func_strstr" = xyes; then : + tcl_ok=1 +else + tcl_ok=0 +fi + + if test "$tcl_ok" = 1; then + { $as_echo "$as_me:${as_lineno-$LINENO}: checking proper strstr implementation" >&5 +$as_echo_n "checking proper strstr implementation... " >&6; } +if ${tcl_cv_strstr_unbroken+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test "$cross_compiling" = yes; then : + tcl_cv_strstr_unbroken=unknown +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +int main() { + extern int strstr(); + exit(strstr("\0test", "test") ? 1 : 0); } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_api_gethostbyname_r_5=yes +if ac_fn_c_try_run "$LINENO"; then : + tcl_cv_strstr_unbroken=ok else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_api_gethostbyname_r_5=no + tcl_cv_strstr_unbroken=broken fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_api_gethostbyname_r_5" >&5 -echo "${ECHO_T}$tcl_cv_api_gethostbyname_r_5" >&6 - tcl_ok=$tcl_cv_api_gethostbyname_r_5 - if test "$tcl_ok" = yes; then - -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETHOSTBYNAME_R_5 1 -_ACEOF +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_strstr_unbroken" >&5 +$as_echo "$tcl_cv_strstr_unbroken" >&6; } + if test "$tcl_cv_strstr_unbroken" = "ok"; then + tcl_ok=1 else - echo "$as_me:$LINENO: checking for gethostbyname_r with 3 args" >&5 -echo $ECHO_N "checking for gethostbyname_r with 3 args... $ECHO_C" >&6 -if test "${tcl_cv_api_gethostbyname_r_3+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else + tcl_ok=0 + fi + fi + if test "$tcl_ok" = 0; then + case " $LIBOBJS " in + *" strstr.$ac_objext "* ) ;; + *) LIBOBJS="$LIBOBJS strstr.$ac_objext" + ;; +esac - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ + USE_COMPAT=1 + fi - #include -int -main () -{ +#-------------------------------------------------------------------- +# Check for strtoul function. This is tricky because under some +# versions of AIX strtoul returns an incorrect terminator +# pointer for the string "0". +#-------------------------------------------------------------------- - char *name; - struct hostent *he; - struct hostent_data data; - (void) gethostbyname_r(name, he, &data); + ac_fn_c_check_func "$LINENO" "strtoul" "ac_cv_func_strtoul" +if test "x$ac_cv_func_strtoul" = xyes; then : + tcl_ok=1 +else + tcl_ok=0 +fi - ; - return 0; + if test "$tcl_ok" = 1; then + { $as_echo "$as_me:${as_lineno-$LINENO}: checking proper strtoul implementation" >&5 +$as_echo_n "checking proper strtoul implementation... " >&6; } +if ${tcl_cv_strtoul_unbroken+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test "$cross_compiling" = yes; then : + tcl_cv_strtoul_unbroken=unknown +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +int main() { + extern int strtoul(); + char *term, *string = "0"; + exit(strtoul(string,&term,0) != 0 || term != string+1); } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_api_gethostbyname_r_3=yes +if ac_fn_c_try_run "$LINENO"; then : + tcl_cv_strtoul_unbroken=ok else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_api_gethostbyname_r_3=no + tcl_cv_strtoul_unbroken=broken fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_api_gethostbyname_r_3" >&5 -echo "${ECHO_T}$tcl_cv_api_gethostbyname_r_3" >&6 - tcl_ok=$tcl_cv_api_gethostbyname_r_3 - if test "$tcl_ok" = yes; then - -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETHOSTBYNAME_R_3 1 -_ACEOF - fi +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_strtoul_unbroken" >&5 +$as_echo "$tcl_cv_strtoul_unbroken" >&6; } + if test "$tcl_cv_strtoul_unbroken" = "ok"; then + tcl_ok=1 + else + tcl_ok=0 fi fi - if test "$tcl_ok" = yes; then - -cat >>confdefs.h <<\_ACEOF -#define HAVE_GETHOSTBYNAME_R 1 -_ACEOF + if test "$tcl_ok" = 0; then + case " $LIBOBJS " in + *" strtoul.$ac_objext "* ) ;; + *) LIBOBJS="$LIBOBJS strtoul.$ac_objext" + ;; +esac + USE_COMPAT=1 fi + +#-------------------------------------------------------------------- +# Check for the strtod function. This is tricky because in some +# versions of Linux strtod mis-parses strings starting with "+". +#-------------------------------------------------------------------- + + + ac_fn_c_check_func "$LINENO" "strtod" "ac_cv_func_strtod" +if test "x$ac_cv_func_strtod" = xyes; then : + tcl_ok=1 +else + tcl_ok=0 fi - echo "$as_me:$LINENO: checking for gethostbyaddr_r" >&5 -echo $ECHO_N "checking for gethostbyaddr_r... $ECHO_C" >&6 -if test "${ac_cv_func_gethostbyaddr_r+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + if test "$tcl_ok" = 1; then + { $as_echo "$as_me:${as_lineno-$LINENO}: checking proper strtod implementation" >&5 +$as_echo_n "checking proper strtod implementation... " >&6; } +if ${tcl_cv_strtod_unbroken+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + if test "$cross_compiling" = yes; then : + tcl_cv_strtod_unbroken=unknown +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Define gethostbyaddr_r to an innocuous variant, in case declares gethostbyaddr_r. - For example, HP-UX 11i declares gettimeofday. */ -#define gethostbyaddr_r innocuous_gethostbyaddr_r - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char gethostbyaddr_r (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ +int main() { + extern double strtod(); + char *term, *string = " +69"; + exit(strtod(string,&term) != 69 || term != string+4); +} +_ACEOF +if ac_fn_c_try_run "$LINENO"; then : + tcl_cv_strtod_unbroken=ok +else + tcl_cv_strtod_unbroken=broken +fi +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext +fi -#ifdef __STDC__ -# include -#else -# include -#endif - -#undef gethostbyaddr_r - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char gethostbyaddr_r (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_gethostbyaddr_r) || defined (__stub___gethostbyaddr_r) -choke me -#else -char (*f) () = gethostbyaddr_r; -#endif -#ifdef __cplusplus -} -#endif - -int -main () -{ -return f != gethostbyaddr_r; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? 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Check for this +# and if the problem exists use a substitute procedure +# "fixstrtod" that corrects the error. #-------------------------------------------------------------------- -echo "$as_me:$LINENO: checking for strncasecmp" >&5 -echo $ECHO_N "checking for strncasecmp... $ECHO_C" >&6 -if test "${ac_cv_func_strncasecmp+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define strncasecmp to an innocuous variant, in case declares strncasecmp. - For example, HP-UX 11i declares gettimeofday. */ -#define strncasecmp innocuous_strncasecmp - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char strncasecmp (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif - -#undef strncasecmp - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char strncasecmp (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. 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" >&6; } +if ${tcl_cv_strtod_buggy+:} false; then : + $as_echo_n "(cached) " >&6 else - tcl_ok=0 -fi -fi -if test "$tcl_ok" = 0; then - echo "$as_me:$LINENO: checking for strncasecmp in -linet" >&5 -echo $ECHO_N "checking for strncasecmp in -linet... $ECHO_C" >&6 -if test "${ac_cv_lib_inet_strncasecmp+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + if test "$cross_compiling" = yes; then : + tcl_cv_strtod_buggy=buggy else - ac_check_lib_save_LIBS=$LIBS -LIBS="-linet $LIBS" -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char strncasecmp (); -int -main () -{ -strncasecmp (); - ; - return 0; -} + extern double strtod(); + int main() { + char *infString="Inf", *nanString="NaN", *spaceString=" "; + char *term; + double value; + value = strtod(infString, &term); + if ((term != infString) && (term[-1] == 0)) { + exit(1); + } + value = strtod(nanString, &term); + if ((term != nanString) && (term[-1] == 0)) { + exit(1); + } + value = strtod(spaceString, &term); + if (term == (spaceString+1)) { + exit(1); + } + exit(0); + } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_lib_inet_strncasecmp=yes +if ac_fn_c_try_run "$LINENO"; then : + tcl_cv_strtod_buggy=ok else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_lib_inet_strncasecmp=no -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext -LIBS=$ac_check_lib_save_LIBS + tcl_cv_strtod_buggy=buggy fi -echo "$as_me:$LINENO: result: $ac_cv_lib_inet_strncasecmp" >&5 -echo "${ECHO_T}$ac_cv_lib_inet_strncasecmp" >&6 -if test $ac_cv_lib_inet_strncasecmp = yes; then - tcl_ok=1 -else - tcl_ok=0 +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext fi fi -if test "$tcl_ok" = 0; then - case $LIBOBJS in - "strncasecmp.$ac_objext" | \ - *" strncasecmp.$ac_objext" | \ - "strncasecmp.$ac_objext "* | \ - *" strncasecmp.$ac_objext "* ) ;; - *) LIBOBJS="$LIBOBJS strncasecmp.$ac_objext" ;; +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_strtod_buggy" >&5 +$as_echo "$tcl_cv_strtod_buggy" >&6; } + if test "$tcl_cv_strtod_buggy" = buggy; then + case " $LIBOBJS " in + *" fixstrtod.$ac_objext "* ) ;; + *) LIBOBJS="$LIBOBJS fixstrtod.$ac_objext" + ;; esac - USE_COMPAT=1 -fi + USE_COMPAT=1 + +$as_echo "#define strtod fixstrtod" >>confdefs.h + + fi + fi + #-------------------------------------------------------------------- -# The code below deals with several issues related to gettimeofday: -# 1. Some systems don't provide a gettimeofday function at all -# (set NO_GETTOD if this is the case). -# 2. See if gettimeofday is declared in the header file. -# if not, set the GETTOD_NOT_DECLARED flag so that tclPort.h can -# declare it. +# Check for various typedefs and provide substitutes if +# they don't exist. #-------------------------------------------------------------------- -echo "$as_me:$LINENO: checking for gettimeofday" >&5 -echo $ECHO_N "checking for gettimeofday... $ECHO_C" >&6 -if test "${ac_cv_func_gettimeofday+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +ac_fn_c_check_type "$LINENO" "mode_t" "ac_cv_type_mode_t" "$ac_includes_default" +if test "x$ac_cv_type_mode_t" = xyes; then : + else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define gettimeofday to an innocuous variant, in case declares gettimeofday. - For example, HP-UX 11i declares gettimeofday. */ -#define gettimeofday innocuous_gettimeofday -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char gettimeofday (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ +cat >>confdefs.h <<_ACEOF +#define mode_t int +_ACEOF -#ifdef __STDC__ -# include -#else -# include -#endif +fi -#undef gettimeofday +ac_fn_c_check_type "$LINENO" "pid_t" "ac_cv_type_pid_t" "$ac_includes_default" +if test "x$ac_cv_type_pid_t" = xyes; then : -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char gettimeofday (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_gettimeofday) || defined (__stub___gettimeofday) -choke me -#else -char (*f) () = gettimeofday; -#endif -#ifdef __cplusplus -} -#endif +else -int -main () -{ -return f != gettimeofday; - ; - return 0; -} +cat >>confdefs.h <<_ACEOF +#define pid_t int _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_func_gettimeofday=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 -ac_cv_func_gettimeofday=no -fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_func_gettimeofday" >&5 -echo "${ECHO_T}$ac_cv_func_gettimeofday" >&6 -if test $ac_cv_func_gettimeofday = yes; then - : -else +ac_fn_c_check_type "$LINENO" "size_t" "ac_cv_type_size_t" "$ac_includes_default" +if test "x$ac_cv_type_size_t" = xyes; then : -cat >>confdefs.h <<\_ACEOF -#define NO_GETTOD 1 -_ACEOF +else +cat >>confdefs.h <<_ACEOF +#define size_t unsigned int +_ACEOF fi -echo "$as_me:$LINENO: checking for gettimeofday declaration" >&5 -echo $ECHO_N "checking for gettimeofday declaration... $ECHO_C" >&6 -if test "${tcl_cv_grep_gettimeofday+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for uid_t in sys/types.h" >&5 +$as_echo_n "checking for uid_t in sys/types.h... " >&6; } +if ${ac_cv_type_uid_t+:} false; then : + $as_echo_n "(cached) " >&6 else - - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -#include +#include _ACEOF if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | - $EGREP "gettimeofday" >/dev/null 2>&1; then - tcl_cv_grep_gettimeofday=present + $EGREP "uid_t" >/dev/null 2>&1; then : + ac_cv_type_uid_t=yes else - tcl_cv_grep_gettimeofday=missing + ac_cv_type_uid_t=no fi rm -f conftest* fi -echo "$as_me:$LINENO: result: $tcl_cv_grep_gettimeofday" >&5 -echo "${ECHO_T}$tcl_cv_grep_gettimeofday" >&6 -if test $tcl_cv_grep_gettimeofday = missing ; then - -cat >>confdefs.h <<\_ACEOF -#define GETTOD_NOT_DECLARED 1 -_ACEOF - -fi - -#-------------------------------------------------------------------- -# The following code checks to see whether it is possible to get -# signed chars on this platform. This is needed in order to -# properly generate sign-extended ints from character values. -#-------------------------------------------------------------------- +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_type_uid_t" >&5 +$as_echo "$ac_cv_type_uid_t" >&6; } +if test $ac_cv_type_uid_t = no; then +$as_echo "#define uid_t int" >>confdefs.h -echo "$as_me:$LINENO: checking whether char is unsigned" >&5 -echo $ECHO_N "checking whether char is unsigned... $ECHO_C" >&6 -if test "${ac_cv_c_char_unsigned+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -int -main () -{ -static int test_array [1 - 2 * !(((char) -1) < 0)]; -test_array [0] = 0 - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_c_char_unsigned=no -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 +$as_echo "#define gid_t int" >>confdefs.h -ac_cv_c_char_unsigned=yes fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: $ac_cv_c_char_unsigned" >&5 -echo "${ECHO_T}$ac_cv_c_char_unsigned" >&6 -if test $ac_cv_c_char_unsigned = yes && test "$GCC" != yes; then - cat >>confdefs.h <<\_ACEOF -#define __CHAR_UNSIGNED__ 1 -_ACEOF -fi -echo "$as_me:$LINENO: checking signed char declarations" >&5 -echo $ECHO_N "checking signed char declarations... $ECHO_C" >&6 -if test "${tcl_cv_char_signed+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for socklen_t" >&5 +$as_echo_n "checking for socklen_t... " >&6; } +if ${tcl_cv_type_socklen_t+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ + #include + #include + int main () { - signed char *p; - p = 0; + socklen_t foo; ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_char_signed=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_type_socklen_t=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_char_signed=no + tcl_cv_type_socklen_t=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_char_signed" >&5 -echo "${ECHO_T}$tcl_cv_char_signed" >&6 -if test $tcl_cv_char_signed = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_type_socklen_t" >&5 +$as_echo "$tcl_cv_type_socklen_t" >&6; } +if test $tcl_cv_type_socklen_t = no; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_SIGNED_CHAR 1 -_ACEOF +$as_echo "#define socklen_t int" >>confdefs.h fi -#-------------------------------------------------------------------- -# Does putenv() copy or not? We need to know to avoid memory leaks. -#-------------------------------------------------------------------- +ac_fn_c_check_type "$LINENO" "intptr_t" "ac_cv_type_intptr_t" "$ac_includes_default" +if test "x$ac_cv_type_intptr_t" = xyes; then : + + +$as_echo "#define HAVE_INTPTR_T 1" >>confdefs.h -echo "$as_me:$LINENO: checking for a putenv() that copies the buffer" >&5 -echo $ECHO_N "checking for a putenv() that copies the buffer... $ECHO_C" >&6 -if test "${tcl_cv_putenv_copy+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 else - if test "$cross_compiling" = yes; then - tcl_cv_putenv_copy=no + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for pointer-size signed integer type" >&5 +$as_echo_n "checking for pointer-size signed integer type... " >&6; } +if ${tcl_cv_intptr_t+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ - #include - #define OURVAR "havecopy=yes" - int main (int argc, char *argv[]) - { - char *foo, *bar; - foo = (char *)strdup(OURVAR); - putenv(foo); - strcpy((char *)(strchr(foo, '=') + 1), "no"); - bar = getenv("havecopy"); - if (!strcmp(bar, "no")) { - /* doesnt copy */ - return 0; - } else { - /* does copy */ - return 1; - } - } + for tcl_cv_intptr_t in "int" "long" "long long" none; do + if test "$tcl_cv_intptr_t" != none; then + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +$ac_includes_default +int +main () +{ +static int test_array [1 - 2 * !(sizeof (void *) <= sizeof ($tcl_cv_intptr_t))]; +test_array [0] = 0; +return test_array [0]; + ; + return 0; +} _ACEOF -rm -f conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && { ac_try='./conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_putenv_copy=no +if ac_fn_c_try_compile "$LINENO"; then : + tcl_ok=yes else - echo "$as_me: program exited with status $ac_status" >&5 -echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -( exit $ac_status ) -tcl_cv_putenv_copy=yes -fi -rm -f core *.core gmon.out bb.out conftest$ac_exeext conftest.$ac_objext conftest.$ac_ext + tcl_ok=no fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + test "$tcl_ok" = yes && break; fi + done fi -echo "$as_me:$LINENO: result: $tcl_cv_putenv_copy" >&5 -echo "${ECHO_T}$tcl_cv_putenv_copy" >&6 -if test $tcl_cv_putenv_copy = yes; then +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_intptr_t" >&5 +$as_echo "$tcl_cv_intptr_t" >&6; } + if test "$tcl_cv_intptr_t" != none; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_PUTENV_THAT_COPIES 1 +cat >>confdefs.h <<_ACEOF +#define intptr_t $tcl_cv_intptr_t _ACEOF -fi - -#-------------------------------------------------------------------- -# Check for support of nl_langinfo function -#-------------------------------------------------------------------- - - - # Check whether --enable-langinfo or --disable-langinfo was given. -if test "${enable_langinfo+set}" = set; then - enableval="$enable_langinfo" - langinfo_ok=$enableval -else - langinfo_ok=yes -fi; - - HAVE_LANGINFO=0 - if test "$langinfo_ok" = "yes"; then - if test "${ac_cv_header_langinfo_h+set}" = set; then - echo "$as_me:$LINENO: checking for langinfo.h" >&5 -echo $ECHO_N "checking for langinfo.h... $ECHO_C" >&6 -if test "${ac_cv_header_langinfo_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: $ac_cv_header_langinfo_h" >&5 -echo "${ECHO_T}$ac_cv_header_langinfo_h" >&6 -else - # Is the header compilable? -echo "$as_me:$LINENO: checking langinfo.h usability" >&5 -echo $ECHO_N "checking langinfo.h usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 + fi -ac_header_compiler=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 -# Is the header present? -echo "$as_me:$LINENO: checking langinfo.h presence" >&5 -echo $ECHO_N "checking langinfo.h presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -_ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 +ac_fn_c_check_type "$LINENO" "uintptr_t" "ac_cv_type_uintptr_t" "$ac_includes_default" +if test "x$ac_cv_type_uintptr_t" = xyes; then : - ac_header_preproc=no -fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: langinfo.h: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: langinfo.h: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: langinfo.h: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: langinfo.h: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: langinfo.h: present but cannot be compiled" >&5 -echo "$as_me: WARNING: langinfo.h: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: langinfo.h: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: langinfo.h: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: langinfo.h: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: langinfo.h: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: langinfo.h: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: langinfo.h: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: langinfo.h: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: langinfo.h: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: langinfo.h: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: langinfo.h: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for langinfo.h" >&5 -echo $ECHO_N "checking for langinfo.h... $ECHO_C" >&6 -if test "${ac_cv_header_langinfo_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - ac_cv_header_langinfo_h=$ac_header_preproc -fi -echo "$as_me:$LINENO: result: $ac_cv_header_langinfo_h" >&5 -echo "${ECHO_T}$ac_cv_header_langinfo_h" >&6 +$as_echo "#define HAVE_UINTPTR_T 1" >>confdefs.h -fi -if test $ac_cv_header_langinfo_h = yes; then - langinfo_ok=yes else - langinfo_ok=no -fi - - fi - echo "$as_me:$LINENO: checking whether to use nl_langinfo" >&5 -echo $ECHO_N "checking whether to use nl_langinfo... $ECHO_C" >&6 - if test "$langinfo_ok" = "yes"; then - if test "${tcl_cv_langinfo_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for pointer-size unsigned integer type" >&5 +$as_echo_n "checking for pointer-size unsigned integer type... " >&6; } +if ${tcl_cv_uintptr_t+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + for tcl_cv_uintptr_t in "unsigned int" "unsigned long" "unsigned long long" \ + none; do + if test "$tcl_cv_uintptr_t" != none; then + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -#include +$ac_includes_default int main () { -nl_langinfo(CODESET); +static int test_array [1 - 2 * !(sizeof (void *) <= sizeof ($tcl_cv_uintptr_t))]; +test_array [0] = 0; +return test_array [0]; + ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_langinfo_h=yes +if ac_fn_c_try_compile "$LINENO"; then : + tcl_ok=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_langinfo_h=no + tcl_ok=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + test "$tcl_ok" = yes && break; fi + done fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_uintptr_t" >&5 +$as_echo "$tcl_cv_uintptr_t" >&6; } + if test "$tcl_cv_uintptr_t" != none; then - echo "$as_me:$LINENO: result: $tcl_cv_langinfo_h" >&5 -echo "${ECHO_T}$tcl_cv_langinfo_h" >&6 - if test $tcl_cv_langinfo_h = yes; then - -cat >>confdefs.h <<\_ACEOF -#define HAVE_LANGINFO 1 +cat >>confdefs.h <<_ACEOF +#define uintptr_t $tcl_cv_uintptr_t _ACEOF - fi - else - echo "$as_me:$LINENO: result: $langinfo_ok" >&5 -echo "${ECHO_T}$langinfo_ok" >&6 fi +fi + #-------------------------------------------------------------------- -# Check for support of chflags and mkstemps functions +# If a system doesn't have an opendir function (man, that's old!) +# then we have to supply a different version of dirent.h which +# is compatible with the substitute version of opendir that's +# provided. This version only works with V7-style directories. #-------------------------------------------------------------------- +ac_fn_c_check_func "$LINENO" "opendir" "ac_cv_func_opendir" +if test "x$ac_cv_func_opendir" = xyes; then : +else -for ac_func in chflags mkstemps -do -as_ac_var=`echo "ac_cv_func_$ac_func" | $as_tr_sh` -echo "$as_me:$LINENO: checking for $ac_func" >&5 -echo $ECHO_N "checking for $ac_func... $ECHO_C" >&6 -if eval "test \"\${$as_ac_var+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define $ac_func to an innocuous variant, in case declares $ac_func. - For example, HP-UX 11i declares gettimeofday. */ -#define $ac_func innocuous_$ac_func +$as_echo "#define USE_DIRENT2_H 1" >>confdefs.h -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char $ac_func (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ +fi -#ifdef __STDC__ -# include -#else -# include -#endif -#undef $ac_func +#-------------------------------------------------------------------- +# The check below checks whether defines the type +# "union wait" correctly. It's needed because of weirdness in +# HP-UX where "union wait" is defined in both the BSD and SYS-V +# environments. Checking the usability of WIFEXITED seems to do +# the trick. +#-------------------------------------------------------------------- -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char $ac_func (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_$ac_func) || defined (__stub___$ac_func) -choke me -#else -char (*f) () = $ac_func; -#endif -#ifdef __cplusplus -} -#endif +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking union wait" >&5 +$as_echo_n "checking union wait... " >&6; } +if ${tcl_cv_union_wait+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include +#include int main () { -return f != $ac_func; + +union wait x; +WIFEXITED(x); /* Generates compiler error if WIFEXITED + * uses an int. */ + ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - eval "$as_ac_var=yes" +if ac_fn_c_try_link "$LINENO"; then : + tcl_cv_union_wait=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -eval "$as_ac_var=no" + tcl_cv_union_wait=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_var'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_var'}'`" >&6 -if test `eval echo '${'$as_ac_var'}'` = yes; then - cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_func" | $as_tr_cpp` 1 -_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_union_wait" >&5 +$as_echo "$tcl_cv_union_wait" >&6; } +if test $tcl_cv_union_wait = no; then -fi -done +$as_echo "#define NO_UNION_WAIT 1" >>confdefs.h +fi #-------------------------------------------------------------------- -# Check for support of isnan() function or macro +# Check whether there is an strncasecmp function on this system. +# This is a bit tricky because under SCO it's in -lsocket and +# under Sequent Dynix it's in -linet. #-------------------------------------------------------------------- -echo "$as_me:$LINENO: checking isnan" >&5 -echo $ECHO_N "checking isnan... $ECHO_C" >&6 -if test "${tcl_cv_isnan+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +ac_fn_c_check_func "$LINENO" "strncasecmp" "ac_cv_func_strncasecmp" +if test "x$ac_cv_func_strncasecmp" = xyes; then : + tcl_ok=1 else + tcl_ok=0 +fi - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +if test "$tcl_ok" = 0; then + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for strncasecmp in -lsocket" >&5 +$as_echo_n "checking for strncasecmp in -lsocket... " >&6; } +if ${ac_cv_lib_socket_strncasecmp+:} false; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-lsocket $LIBS" +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -#include + +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ +#ifdef __cplusplus +extern "C" +#endif +char strncasecmp (); int main () { - -isnan(0.0); /* Generates an error if isnan is missing */ - +return strncasecmp (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - tcl_cv_isnan=yes +if ac_fn_c_try_link "$LINENO"; then : + ac_cv_lib_socket_strncasecmp=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_isnan=no + ac_cv_lib_socket_strncasecmp=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: $tcl_cv_isnan" >&5 -echo "${ECHO_T}$tcl_cv_isnan" >&6 -if test $tcl_cv_isnan = no; then - -cat >>confdefs.h <<\_ACEOF -#define NO_ISNAN 1 -_ACEOF - +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_socket_strncasecmp" >&5 +$as_echo "$ac_cv_lib_socket_strncasecmp" >&6; } +if test "x$ac_cv_lib_socket_strncasecmp" = xyes; then : + tcl_ok=1 +else + tcl_ok=0 fi -#-------------------------------------------------------------------- -# Darwin specific API checks and defines -#-------------------------------------------------------------------- - -if test "`uname -s`" = "Darwin" ; then - -for ac_func in getattrlist -do -as_ac_var=`echo "ac_cv_func_$ac_func" | $as_tr_sh` -echo "$as_me:$LINENO: checking for $ac_func" >&5 -echo $ECHO_N "checking for $ac_func... $ECHO_C" >&6 -if eval "test \"\${$as_ac_var+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +fi +if test "$tcl_ok" = 0; then + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for strncasecmp in -linet" >&5 +$as_echo_n "checking for strncasecmp in -linet... " >&6; } +if ${ac_cv_lib_inet_strncasecmp+:} false; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-linet $LIBS" +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Define $ac_func to an innocuous variant, in case declares $ac_func. - For example, HP-UX 11i declares gettimeofday. */ -#define $ac_func innocuous_$ac_func - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char $ac_func (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif - -#undef $ac_func -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC builtin and then its argument prototype would still apply. */ -char $ac_func (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_$ac_func) || defined (__stub___$ac_func) -choke me -#else -char (*f) () = $ac_func; -#endif #ifdef __cplusplus -} +extern "C" #endif - +char strncasecmp (); int main () { -return f != $ac_func; +return strncasecmp (); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - eval "$as_ac_var=yes" +if ac_fn_c_try_link "$LINENO"; then : + ac_cv_lib_inet_strncasecmp=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -eval "$as_ac_var=no" + ac_cv_lib_inet_strncasecmp=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_check_lib_save_LIBS fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_var'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_var'}'`" >&6 -if test `eval echo '${'$as_ac_var'}'` = yes; then - cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_func" | $as_tr_cpp` 1 -_ACEOF - +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_lib_inet_strncasecmp" >&5 +$as_echo "$ac_cv_lib_inet_strncasecmp" >&6; } +if test "x$ac_cv_lib_inet_strncasecmp" = xyes; then : + tcl_ok=1 +else + tcl_ok=0 fi -done +fi +if test "$tcl_ok" = 0; then + case " $LIBOBJS " in + *" strncasecmp.$ac_objext "* ) ;; + *) LIBOBJS="$LIBOBJS strncasecmp.$ac_objext" + ;; +esac -for ac_header in copyfile.h -do -as_ac_Header=`echo "ac_cv_header_$ac_header" | $as_tr_sh` -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + USE_COMPAT=1 fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 -else - # Is the header compilable? -echo "$as_me:$LINENO: checking $ac_header usability" >&5 -echo $ECHO_N "checking $ac_header usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include <$ac_header> -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes + +#-------------------------------------------------------------------- +# The code below deals with several issues related to gettimeofday: +# 1. Some systems don't provide a gettimeofday function at all +# (set NO_GETTOD if this is the case). +# 2. See if gettimeofday is declared in the header file. +# if not, set the GETTOD_NOT_DECLARED flag so that tclPort.h can +# declare it. +#-------------------------------------------------------------------- + +ac_fn_c_check_func "$LINENO" "gettimeofday" "ac_cv_func_gettimeofday" +if test "x$ac_cv_func_gettimeofday" = xyes; then : + else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 -ac_header_compiler=no + +$as_echo "#define NO_GETTOD 1" >>confdefs.h + + fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 -# Is the header present? -echo "$as_me:$LINENO: checking $ac_header presence" >&5 -echo $ECHO_N "checking $ac_header presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for gettimeofday declaration" >&5 +$as_echo_n "checking for gettimeofday declaration... " >&6; } +if ${tcl_cv_grep_gettimeofday+:} false; then : + $as_echo_n "(cached) " >&6 +else + + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -#include <$ac_header> +#include + _ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi +if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | + $EGREP "gettimeofday" >/dev/null 2>&1; then : + tcl_cv_grep_gettimeofday=present else - ac_cpp_err=yes + tcl_cv_grep_gettimeofday=missing fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 +rm -f conftest* - ac_header_preproc=no fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_grep_gettimeofday" >&5 +$as_echo "$tcl_cv_grep_gettimeofday" >&6; } +if test $tcl_cv_grep_gettimeofday = missing ; then -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: $ac_header: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: $ac_header: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: $ac_header: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: $ac_header: present but cannot be compiled" >&5 -echo "$as_me: WARNING: $ac_header: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: $ac_header: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: $ac_header: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: $ac_header: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: $ac_header: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: $ac_header: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +$as_echo "#define GETTOD_NOT_DECLARED 1" >>confdefs.h + +fi + +#-------------------------------------------------------------------- +# The following code checks to see whether it is possible to get +# signed chars on this platform. This is needed in order to +# properly generate sign-extended ints from character values. +#-------------------------------------------------------------------- + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether char is unsigned" >&5 +$as_echo_n "checking whether char is unsigned... " >&6; } +if ${ac_cv_c_char_unsigned+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +$ac_includes_default +int +main () +{ +static int test_array [1 - 2 * !(((char) -1) < 0)]; +test_array [0] = 0; +return test_array [0]; + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_c_char_unsigned=no else - eval "$as_ac_Header=\$ac_header_preproc" + ac_cv_c_char_unsigned=yes fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 - +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -if test `eval echo '${'$as_ac_Header'}'` = yes; then - cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_header" | $as_tr_cpp` 1 -_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_c_char_unsigned" >&5 +$as_echo "$ac_cv_c_char_unsigned" >&6; } +if test $ac_cv_c_char_unsigned = yes && test "$GCC" != yes; then + $as_echo "#define __CHAR_UNSIGNED__ 1" >>confdefs.h fi -done - +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking signed char declarations" >&5 +$as_echo_n "checking signed char declarations... " >&6; } +if ${tcl_cv_char_signed+:} false; then : + $as_echo_n "(cached) " >&6 +else -for ac_func in copyfile -do -as_ac_var=`echo "ac_cv_func_$ac_func" | $as_tr_sh` -echo "$as_me:$LINENO: checking for $ac_func" >&5 -echo $ECHO_N "checking for $ac_func... $ECHO_C" >&6 -if eval "test \"\${$as_ac_var+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ -/* Define $ac_func to an innocuous variant, in case declares $ac_func. - For example, HP-UX 11i declares gettimeofday. */ -#define $ac_func innocuous_$ac_func - -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char $ac_func (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ - -#ifdef __STDC__ -# include -#else -# include -#endif - -#undef $ac_func - -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char $ac_func (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_$ac_func) || defined (__stub___$ac_func) -choke me -#else -char (*f) () = $ac_func; -#endif -#ifdef __cplusplus -} -#endif int main () { -return f != $ac_func; + + signed char *p; + p = 0; + ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - eval "$as_ac_var=yes" +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_char_signed=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -eval "$as_ac_var=no" + tcl_cv_char_signed=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_var'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_var'}'`" >&6 -if test `eval echo '${'$as_ac_var'}'` = yes; then - cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_func" | $as_tr_cpp` 1 -_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_char_signed" >&5 +$as_echo "$tcl_cv_char_signed" >&6; } +if test $tcl_cv_char_signed = yes; then + +$as_echo "#define HAVE_SIGNED_CHAR 1" >>confdefs.h fi -done - if test $tcl_corefoundation = yes; then +#-------------------------------------------------------------------- +# Does putenv() copy or not? We need to know to avoid memory leaks. +#-------------------------------------------------------------------- -for ac_header in libkern/OSAtomic.h -do -as_ac_Header=`echo "ac_cv_header_$ac_header" | $as_tr_sh` -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for a putenv() that copies the buffer" >&5 +$as_echo_n "checking for a putenv() that copies the buffer... " >&6; } +if ${tcl_cv_putenv_copy+:} false; then : + $as_echo_n "(cached) " >&6 else - # Is the header compilable? -echo "$as_me:$LINENO: checking $ac_header usability" >&5 -echo $ECHO_N "checking $ac_header usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include <$ac_header> -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes + + if test "$cross_compiling" = yes; then : + tcl_cv_putenv_copy=no else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ -ac_header_compiler=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 + #include + #define OURVAR "havecopy=yes" + int main (int argc, char *argv[]) + { + char *foo, *bar; + foo = (char *)strdup(OURVAR); + putenv(foo); + strcpy((char *)(strchr(foo, '=') + 1), "no"); + bar = getenv("havecopy"); + if (!strcmp(bar, "no")) { + /* doesnt copy */ + return 0; + } else { + /* does copy */ + return 1; + } + } -# Is the header present? -echo "$as_me:$LINENO: checking $ac_header presence" >&5 -echo $ECHO_N "checking $ac_header presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include <$ac_header> _ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi +if ac_fn_c_try_run "$LINENO"; then : + tcl_cv_putenv_copy=no else - ac_cpp_err=yes + tcl_cv_putenv_copy=yes fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - - ac_header_preproc=no +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: $ac_header: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: $ac_header: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: $ac_header: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: $ac_header: present but cannot be compiled" >&5 -echo "$as_me: WARNING: $ac_header: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: $ac_header: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: $ac_header: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: $ac_header: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: $ac_header: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: $ac_header: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - eval "$as_ac_Header=\$ac_header_preproc" fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_putenv_copy" >&5 +$as_echo "$tcl_cv_putenv_copy" >&6; } +if test $tcl_cv_putenv_copy = yes; then -fi -if test `eval echo '${'$as_ac_Header'}'` = yes; then - cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_header" | $as_tr_cpp` 1 -_ACEOF +$as_echo "#define HAVE_PUTENV_THAT_COPIES 1" >>confdefs.h fi -done +#-------------------------------------------------------------------- +# Check for support of nl_langinfo function +#-------------------------------------------------------------------- -for ac_func in OSSpinLockLock -do -as_ac_var=`echo "ac_cv_func_$ac_func" | $as_tr_sh` -echo "$as_me:$LINENO: checking for $ac_func" >&5 -echo $ECHO_N "checking for $ac_func... $ECHO_C" >&6 -if eval "test \"\${$as_ac_var+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -/* Define $ac_func to an innocuous variant, in case declares $ac_func. - For example, HP-UX 11i declares gettimeofday. */ -#define $ac_func innocuous_$ac_func + # Check whether --enable-langinfo was given. +if test "${enable_langinfo+set}" = set; then : + enableval=$enable_langinfo; langinfo_ok=$enableval +else + langinfo_ok=yes +fi -/* System header to define __stub macros and hopefully few prototypes, - which can conflict with char $ac_func (); below. - Prefer to if __STDC__ is defined, since - exists even on freestanding compilers. */ -#ifdef __STDC__ -# include -#else -# include -#endif + HAVE_LANGINFO=0 + if test "$langinfo_ok" = "yes"; then + ac_fn_c_check_header_mongrel "$LINENO" "langinfo.h" "ac_cv_header_langinfo_h" "$ac_includes_default" +if test "x$ac_cv_header_langinfo_h" = xyes; then : + langinfo_ok=yes +else + langinfo_ok=no +fi -#undef $ac_func -/* Override any gcc2 internal prototype to avoid an error. */ -#ifdef __cplusplus -extern "C" -{ -#endif -/* We use char because int might match the return type of a gcc2 - builtin and then its argument prototype would still apply. */ -char $ac_func (); -/* The GNU C library defines this for functions which it implements - to always fail with ENOSYS. Some functions are actually named - something starting with __ and the normal name is an alias. */ -#if defined (__stub_$ac_func) || defined (__stub___$ac_func) -choke me -#else -char (*f) () = $ac_func; -#endif -#ifdef __cplusplus -} -#endif + fi + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether to use nl_langinfo" >&5 +$as_echo_n "checking whether to use nl_langinfo... " >&6; } + if test "$langinfo_ok" = "yes"; then + if ${tcl_cv_langinfo_h+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include int main () { -return f != $ac_func; +nl_langinfo(CODESET); ; return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - eval "$as_ac_var=yes" +if ac_fn_c_try_compile "$LINENO"; then : + tcl_cv_langinfo_h=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -eval "$as_ac_var=no" + tcl_cv_langinfo_h=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_var'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_var'}'`" >&6 -if test `eval echo '${'$as_ac_var'}'` = yes; then + + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_langinfo_h" >&5 +$as_echo "$tcl_cv_langinfo_h" >&6; } + if test $tcl_cv_langinfo_h = yes; then + +$as_echo "#define HAVE_LANGINFO 1" >>confdefs.h + + fi + else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $langinfo_ok" >&5 +$as_echo "$langinfo_ok" >&6; } + fi + + +#-------------------------------------------------------------------- +# Check for support of chflags and mkstemps functions +#-------------------------------------------------------------------- + +for ac_func in chflags mkstemps +do : + as_ac_var=`$as_echo "ac_cv_func_$ac_func" | $as_tr_sh` +ac_fn_c_check_func "$LINENO" "$ac_func" "$as_ac_var" +if eval test \"x\$"$as_ac_var"\" = x"yes"; then : cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_func" | $as_tr_cpp` 1 +#define `$as_echo "HAVE_$ac_func" | $as_tr_cpp` 1 _ACEOF fi done - fi -cat >>confdefs.h <<\_ACEOF -#define USE_VFORK 1 -_ACEOF +#-------------------------------------------------------------------- +# Check for support of isnan() function or macro +#-------------------------------------------------------------------- +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking isnan" >&5 +$as_echo_n "checking isnan... " >&6; } +if ${tcl_cv_isnan+:} false; then : + $as_echo_n "(cached) " >&6 +else -cat >>confdefs.h <<\_ACEOF -#define TCL_DEFAULT_ENCODING "utf-8" -_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include +int +main () +{ +isnan(0.0); /* Generates an error if isnan is missing */ -cat >>confdefs.h <<\_ACEOF -#define TCL_LOAD_FROM_MEMORY 1 + ; + return 0; +} _ACEOF +if ac_fn_c_try_link "$LINENO"; then : + tcl_cv_isnan=yes +else + tcl_cv_isnan=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_isnan" >&5 +$as_echo "$tcl_cv_isnan" >&6; } +if test $tcl_cv_isnan = no; then +$as_echo "#define NO_ISNAN 1" >>confdefs.h -cat >>confdefs.h <<\_ACEOF -#define TCL_WIDE_CLICKS 1 -_ACEOF +fi +#-------------------------------------------------------------------- +# Darwin specific API checks and defines +#-------------------------------------------------------------------- -for ac_header in AvailabilityMacros.h -do -as_ac_Header=`echo "ac_cv_header_$ac_header" | $as_tr_sh` -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 -else - # Is the header compilable? -echo "$as_me:$LINENO: checking $ac_header usability" >&5 -echo $ECHO_N "checking $ac_header usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include <$ac_header> +if test "`uname -s`" = "Darwin" ; then + for ac_func in getattrlist +do : + ac_fn_c_check_func "$LINENO" "getattrlist" "ac_cv_func_getattrlist" +if test "x$ac_cv_func_getattrlist" = xyes; then : + cat >>confdefs.h <<_ACEOF +#define HAVE_GETATTRLIST 1 _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 -ac_header_compiler=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 +done -# Is the header present? -echo "$as_me:$LINENO: checking $ac_header presence" >&5 -echo $ECHO_N "checking $ac_header presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include <$ac_header> + for ac_header in copyfile.h +do : + ac_fn_c_check_header_mongrel "$LINENO" "copyfile.h" "ac_cv_header_copyfile_h" "$ac_includes_default" +if test "x$ac_cv_header_copyfile_h" = xyes; then : + cat >>confdefs.h <<_ACEOF +#define HAVE_COPYFILE_H 1 _ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes + fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - ac_header_preproc=no +done + + for ac_func in copyfile +do : + ac_fn_c_check_func "$LINENO" "copyfile" "ac_cv_func_copyfile" +if test "x$ac_cv_func_copyfile" = xyes; then : + cat >>confdefs.h <<_ACEOF +#define HAVE_COPYFILE 1 +_ACEOF + fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 +done + + if test $tcl_corefoundation = yes; then + for ac_header in libkern/OSAtomic.h +do : + ac_fn_c_check_header_mongrel "$LINENO" "libkern/OSAtomic.h" "ac_cv_header_libkern_OSAtomic_h" "$ac_includes_default" +if test "x$ac_cv_header_libkern_OSAtomic_h" = xyes; then : + cat >>confdefs.h <<_ACEOF +#define HAVE_LIBKERN_OSATOMIC_H 1 +_ACEOF -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: $ac_header: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: $ac_header: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: $ac_header: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: $ac_header: present but cannot be compiled" >&5 -echo "$as_me: WARNING: $ac_header: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: $ac_header: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: $ac_header: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: $ac_header: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: $ac_header: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: $ac_header: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - eval "$as_ac_Header=\$ac_header_preproc" fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 + +done + + for ac_func in OSSpinLockLock +do : + ac_fn_c_check_func "$LINENO" "OSSpinLockLock" "ac_cv_func_OSSpinLockLock" +if test "x$ac_cv_func_OSSpinLockLock" = xyes; then : + cat >>confdefs.h <<_ACEOF +#define HAVE_OSSPINLOCKLOCK 1 +_ACEOF fi -if test `eval echo '${'$as_ac_Header'}'` = yes; then +done + + fi + +$as_echo "#define USE_VFORK 1" >>confdefs.h + + +$as_echo "#define TCL_DEFAULT_ENCODING \"utf-8\"" >>confdefs.h + + +$as_echo "#define TCL_LOAD_FROM_MEMORY 1" >>confdefs.h + + +$as_echo "#define TCL_WIDE_CLICKS 1" >>confdefs.h + + for ac_header in AvailabilityMacros.h +do : + ac_fn_c_check_header_mongrel "$LINENO" "AvailabilityMacros.h" "ac_cv_header_AvailabilityMacros_h" "$ac_includes_default" +if test "x$ac_cv_header_AvailabilityMacros_h" = xyes; then : cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_header" | $as_tr_cpp` 1 +#define HAVE_AVAILABILITYMACROS_H 1 _ACEOF fi @@ -17917,18 +9802,14 @@ fi done if test "$ac_cv_header_AvailabilityMacros_h" = yes; then - echo "$as_me:$LINENO: checking if weak import is available" >&5 -echo $ECHO_N "checking if weak import is available... $ECHO_C" >&6 -if test "${tcl_cv_cc_weak_import+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if weak import is available" >&5 +$as_echo_n "checking if weak import is available... " >&6; } +if ${tcl_cv_cc_weak_import+:} false; then : + $as_echo_n "(cached) " >&6 else hold_cflags=$CFLAGS; CFLAGS="$CFLAGS -Werror" - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifdef __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ @@ -17948,60 +9829,30 @@ rand(); return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_cc_weak_import=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_cc_weak_import=no + tcl_cv_cc_weak_import=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext CFLAGS=$hold_cflags fi -echo "$as_me:$LINENO: result: $tcl_cv_cc_weak_import" >&5 -echo "${ECHO_T}$tcl_cv_cc_weak_import" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_cc_weak_import" >&5 +$as_echo "$tcl_cv_cc_weak_import" >&6; } if test $tcl_cv_cc_weak_import = yes; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_WEAK_IMPORT 1 -_ACEOF +$as_echo "#define HAVE_WEAK_IMPORT 1" >>confdefs.h fi - echo "$as_me:$LINENO: checking if Darwin SUSv3 extensions are available" >&5 -echo $ECHO_N "checking if Darwin SUSv3 extensions are available... $ECHO_C" >&6 -if test "${tcl_cv_cc_darwin_c_source+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if Darwin SUSv3 extensions are available" >&5 +$as_echo_n "checking if Darwin SUSv3 extensions are available... " >&6; } +if ${tcl_cv_cc_darwin_c_source+:} false; then : + $as_echo_n "(cached) " >&6 else hold_cflags=$CFLAGS; CFLAGS="$CFLAGS -Werror" - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifdef __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ @@ -18022,45 +9873,19 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_cc_darwin_c_source=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_cc_darwin_c_source=no + tcl_cv_cc_darwin_c_source=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext CFLAGS=$hold_cflags fi -echo "$as_me:$LINENO: result: $tcl_cv_cc_darwin_c_source" >&5 -echo "${ECHO_T}$tcl_cv_cc_darwin_c_source" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_cc_darwin_c_source" >&5 +$as_echo "$tcl_cv_cc_darwin_c_source" >&6; } if test $tcl_cv_cc_darwin_c_source = yes; then -cat >>confdefs.h <<\_ACEOF -#define _DARWIN_C_SOURCE 1 -_ACEOF +$as_echo "#define _DARWIN_C_SOURCE 1" >>confdefs.h fi fi @@ -18076,17 +9901,13 @@ fi # Check for support of fts functions (readdir replacement) #-------------------------------------------------------------------- -echo "$as_me:$LINENO: checking for fts" >&5 -echo $ECHO_N "checking for fts... $ECHO_C" >&6 -if test "${tcl_cv_api_fts+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for fts" >&5 +$as_echo_n "checking for fts... " >&6; } +if ${tcl_cv_api_fts+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include @@ -18105,45 +9926,19 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_api_fts=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_api_fts=no + tcl_cv_api_fts=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_api_fts" >&5 -echo "${ECHO_T}$tcl_cv_api_fts" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_api_fts" >&5 +$as_echo "$tcl_cv_api_fts" >&6; } if test $tcl_cv_api_fts = yes; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_FTS 1 -_ACEOF +$as_echo "#define HAVE_FTS 1" >>confdefs.h fi @@ -18154,300 +9949,24 @@ fi #-------------------------------------------------------------------- - -for ac_header in sys/ioctl.h -do -as_ac_Header=`echo "ac_cv_header_$ac_header" | $as_tr_sh` -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 -else - # Is the header compilable? -echo "$as_me:$LINENO: checking $ac_header usability" >&5 -echo $ECHO_N "checking $ac_header usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include <$ac_header> -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_header_compiler=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 - -# Is the header present? -echo "$as_me:$LINENO: checking $ac_header presence" >&5 -echo $ECHO_N "checking $ac_header presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include <$ac_header> -_ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - - ac_header_preproc=no -fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 - -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: $ac_header: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: $ac_header: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: $ac_header: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: $ac_header: present but cannot be compiled" >&5 -echo "$as_me: WARNING: $ac_header: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: $ac_header: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: $ac_header: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: $ac_header: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: $ac_header: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: $ac_header: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - eval "$as_ac_Header=\$ac_header_preproc" -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 - -fi -if test `eval echo '${'$as_ac_Header'}'` = yes; then + for ac_header in sys/ioctl.h +do : + ac_fn_c_check_header_mongrel "$LINENO" "sys/ioctl.h" "ac_cv_header_sys_ioctl_h" "$ac_includes_default" +if test "x$ac_cv_header_sys_ioctl_h" = xyes; then : cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_header" | $as_tr_cpp` 1 +#define HAVE_SYS_IOCTL_H 1 _ACEOF fi done - -for ac_header in sys/filio.h -do -as_ac_Header=`echo "ac_cv_header_$ac_header" | $as_tr_sh` -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 -else - # Is the header compilable? -echo "$as_me:$LINENO: checking $ac_header usability" >&5 -echo $ECHO_N "checking $ac_header usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include <$ac_header> -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_header_compiler=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 - -# Is the header present? -echo "$as_me:$LINENO: checking $ac_header presence" >&5 -echo $ECHO_N "checking $ac_header presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include <$ac_header> -_ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - - ac_header_preproc=no -fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 - -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: $ac_header: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: $ac_header: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: $ac_header: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: $ac_header: present but cannot be compiled" >&5 -echo "$as_me: WARNING: $ac_header: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: $ac_header: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: $ac_header: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: $ac_header: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: $ac_header: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: $ac_header: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: $ac_header: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - eval "$as_ac_Header=\$ac_header_preproc" -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 - -fi -if test `eval echo '${'$as_ac_Header'}'` = yes; then + for ac_header in sys/filio.h +do : + ac_fn_c_check_header_mongrel "$LINENO" "sys/filio.h" "ac_cv_header_sys_filio_h" "$ac_includes_default" +if test "x$ac_cv_header_sys_filio_h" = xyes; then : cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_header" | $as_tr_cpp` 1 +#define HAVE_SYS_FILIO_H 1 _ACEOF fi @@ -18455,10 +9974,10 @@ fi done - echo "$as_me:$LINENO: checking system version" >&5 -echo $ECHO_N "checking system version... $ECHO_C" >&6 -if test "${tcl_cv_sys_version+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking system version" >&5 +$as_echo_n "checking system version... " >&6; } +if ${tcl_cv_sys_version+:} false; then : + $as_echo_n "(cached) " >&6 else if test -f /usr/lib/NextStep/software_version; then @@ -18466,8 +9985,8 @@ else else tcl_cv_sys_version=`uname -s`-`uname -r` if test "$?" -ne 0 ; then - { echo "$as_me:$LINENO: WARNING: can't find uname command" >&5 -echo "$as_me: WARNING: can't find uname command" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: can't find uname command" >&5 +$as_echo "$as_me: WARNING: can't find uname command" >&2;} tcl_cv_sys_version=unknown else # Special check for weird MP-RAS system (uname returns weird @@ -18483,58 +10002,52 @@ echo "$as_me: WARNING: can't find uname command" >&2;} fi fi -echo "$as_me:$LINENO: result: $tcl_cv_sys_version" >&5 -echo "${ECHO_T}$tcl_cv_sys_version" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_sys_version" >&5 +$as_echo "$tcl_cv_sys_version" >&6; } system=$tcl_cv_sys_version - echo "$as_me:$LINENO: checking FIONBIO vs. O_NONBLOCK for nonblocking I/O" >&5 -echo $ECHO_N "checking FIONBIO vs. O_NONBLOCK for nonblocking I/O... $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking FIONBIO vs. O_NONBLOCK for nonblocking I/O" >&5 +$as_echo_n "checking FIONBIO vs. O_NONBLOCK for nonblocking I/O... " >&6; } case $system in OSF*) -cat >>confdefs.h <<\_ACEOF -#define USE_FIONBIO 1 -_ACEOF +$as_echo "#define USE_FIONBIO 1" >>confdefs.h - echo "$as_me:$LINENO: result: FIONBIO" >&5 -echo "${ECHO_T}FIONBIO" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: FIONBIO" >&5 +$as_echo "FIONBIO" >&6; } ;; SunOS-4*) -cat >>confdefs.h <<\_ACEOF -#define USE_FIONBIO 1 -_ACEOF +$as_echo "#define USE_FIONBIO 1" >>confdefs.h - echo "$as_me:$LINENO: result: FIONBIO" >&5 -echo "${ECHO_T}FIONBIO" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: FIONBIO" >&5 +$as_echo "FIONBIO" >&6; } ;; *) - echo "$as_me:$LINENO: result: O_NONBLOCK" >&5 -echo "${ECHO_T}O_NONBLOCK" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: O_NONBLOCK" >&5 +$as_echo "O_NONBLOCK" >&6; } ;; esac #------------------------------------------------------------------------ -echo "$as_me:$LINENO: checking whether to use dll unloading" >&5 -echo $ECHO_N "checking whether to use dll unloading... $ECHO_C" >&6 -# Check whether --enable-dll-unloading or --disable-dll-unloading was given. -if test "${enable_dll_unloading+set}" = set; then - enableval="$enable_dll_unloading" - tcl_ok=$enableval +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether to use dll unloading" >&5 +$as_echo_n "checking whether to use dll unloading... " >&6; } +# Check whether --enable-dll-unloading was given. +if test "${enable_dll_unloading+set}" = set; then : + enableval=$enable_dll_unloading; tcl_ok=$enableval else tcl_ok=yes -fi; +fi + if test $tcl_ok = yes; then -cat >>confdefs.h <<\_ACEOF -#define TCL_UNLOAD_DLLS 1 -_ACEOF +$as_echo "#define TCL_UNLOAD_DLLS 1" >>confdefs.h fi -echo "$as_me:$LINENO: result: $tcl_ok" >&5 -echo "${ECHO_T}$tcl_ok" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_ok" >&5 +$as_echo "$tcl_ok" >&6; } #------------------------------------------------------------------------ # Check whether the timezone data is supplied by the OS or has @@ -18542,31 +10055,31 @@ echo "${ECHO_T}$tcl_ok" >&6 # be overriden on the configure command line either way. #------------------------------------------------------------------------ -echo "$as_me:$LINENO: checking for timezone data" >&5 -echo $ECHO_N "checking for timezone data... $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for timezone data" >&5 +$as_echo_n "checking for timezone data... " >&6; } -# Check whether --with-tzdata or --without-tzdata was given. -if test "${with_tzdata+set}" = set; then - withval="$with_tzdata" - tcl_ok=$withval +# Check whether --with-tzdata was given. +if test "${with_tzdata+set}" = set; then : + withval=$with_tzdata; tcl_ok=$withval else tcl_ok=auto -fi; +fi + # # Any directories that get added here must also be added to the # search path in ::tcl::clock::Initialize (library/clock.tcl). # case $tcl_ok in no) - echo "$as_me:$LINENO: result: supplied by OS vendor" >&5 -echo "${ECHO_T}supplied by OS vendor" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: supplied by OS vendor" >&5 +$as_echo "supplied by OS vendor" >&6; } ;; yes) # nothing to do here ;; auto*) - if test "${tcl_cv_dir_zoneinfo+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + if ${tcl_cv_dir_zoneinfo+:} false; then : + $as_echo_n "(cached) " >&6 else for dir in /usr/share/zoneinfo \ @@ -18583,22 +10096,20 @@ fi if test -n "$tcl_cv_dir_zoneinfo"; then tcl_ok=no - echo "$as_me:$LINENO: result: $dir" >&5 -echo "${ECHO_T}$dir" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $dir" >&5 +$as_echo "$dir" >&6; } else tcl_ok=yes fi ;; *) - { { echo "$as_me:$LINENO: error: invalid argument: $tcl_ok" >&5 -echo "$as_me: error: invalid argument: $tcl_ok" >&2;} - { (exit 1); exit 1; }; } + as_fn_error $? "invalid argument: $tcl_ok" "$LINENO" 5 ;; esac if test $tcl_ok = yes then - echo "$as_me:$LINENO: result: supplied by Tcl" >&5 -echo "${ECHO_T}supplied by Tcl" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: supplied by Tcl" >&5 +$as_echo "supplied by Tcl" >&6; } INSTALL_TZDATA=install-tzdata fi @@ -18606,152 +10117,16 @@ fi # DTrace support #-------------------------------------------------------------------- -# Check whether --enable-dtrace or --disable-dtrace was given. -if test "${enable_dtrace+set}" = set; then - enableval="$enable_dtrace" - tcl_ok=$enableval +# Check whether --enable-dtrace was given. +if test "${enable_dtrace+set}" = set; then : + enableval=$enable_dtrace; tcl_ok=$enableval else tcl_ok=no -fi; -if test $tcl_ok = yes; then - if test "${ac_cv_header_sys_sdt_h+set}" = set; then - echo "$as_me:$LINENO: checking for sys/sdt.h" >&5 -echo $ECHO_N "checking for sys/sdt.h... $ECHO_C" >&6 -if test "${ac_cv_header_sys_sdt_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -fi -echo "$as_me:$LINENO: result: $ac_cv_header_sys_sdt_h" >&5 -echo "${ECHO_T}$ac_cv_header_sys_sdt_h" >&6 -else - # Is the header compilable? -echo "$as_me:$LINENO: checking sys/sdt.h usability" >&5 -echo $ECHO_N "checking sys/sdt.h usability... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -#include -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_header_compiler=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_header_compiler=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_compiler" >&5 -echo "${ECHO_T}$ac_header_compiler" >&6 - -# Is the header present? -echo "$as_me:$LINENO: checking sys/sdt.h presence" >&5 -echo $ECHO_N "checking sys/sdt.h presence... $ECHO_C" >&6 -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -#include -_ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then - ac_header_preproc=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - - ac_header_preproc=no -fi -rm -f conftest.err conftest.$ac_ext -echo "$as_me:$LINENO: result: $ac_header_preproc" >&5 -echo "${ECHO_T}$ac_header_preproc" >&6 - -# So? What about this header? -case $ac_header_compiler:$ac_header_preproc:$ac_c_preproc_warn_flag in - yes:no: ) - { echo "$as_me:$LINENO: WARNING: sys/sdt.h: accepted by the compiler, rejected by the preprocessor!" >&5 -echo "$as_me: WARNING: sys/sdt.h: accepted by the compiler, rejected by the preprocessor!" >&2;} - { echo "$as_me:$LINENO: WARNING: sys/sdt.h: proceeding with the compiler's result" >&5 -echo "$as_me: WARNING: sys/sdt.h: proceeding with the compiler's result" >&2;} - ac_header_preproc=yes - ;; - no:yes:* ) - { echo "$as_me:$LINENO: WARNING: sys/sdt.h: present but cannot be compiled" >&5 -echo "$as_me: WARNING: sys/sdt.h: present but cannot be compiled" >&2;} - { echo "$as_me:$LINENO: WARNING: sys/sdt.h: check for missing prerequisite headers?" >&5 -echo "$as_me: WARNING: sys/sdt.h: check for missing prerequisite headers?" >&2;} - { echo "$as_me:$LINENO: WARNING: sys/sdt.h: see the Autoconf documentation" >&5 -echo "$as_me: WARNING: sys/sdt.h: see the Autoconf documentation" >&2;} - { echo "$as_me:$LINENO: WARNING: sys/sdt.h: section \"Present But Cannot Be Compiled\"" >&5 -echo "$as_me: WARNING: sys/sdt.h: section \"Present But Cannot Be Compiled\"" >&2;} - { echo "$as_me:$LINENO: WARNING: sys/sdt.h: proceeding with the preprocessor's result" >&5 -echo "$as_me: WARNING: sys/sdt.h: proceeding with the preprocessor's result" >&2;} - { echo "$as_me:$LINENO: WARNING: sys/sdt.h: in the future, the compiler will take precedence" >&5 -echo "$as_me: WARNING: sys/sdt.h: in the future, the compiler will take precedence" >&2;} - ( - cat <<\_ASBOX -## ------------------------------ ## -## Report this to the tcl lists. ## -## ------------------------------ ## -_ASBOX - ) | - sed "s/^/$as_me: WARNING: /" >&2 - ;; -esac -echo "$as_me:$LINENO: checking for sys/sdt.h" >&5 -echo $ECHO_N "checking for sys/sdt.h... $ECHO_C" >&6 -if test "${ac_cv_header_sys_sdt_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - ac_cv_header_sys_sdt_h=$ac_header_preproc fi -echo "$as_me:$LINENO: result: $ac_cv_header_sys_sdt_h" >&5 -echo "${ECHO_T}$ac_cv_header_sys_sdt_h" >&6 -fi -if test $ac_cv_header_sys_sdt_h = yes; then +if test $tcl_ok = yes; then + ac_fn_c_check_header_mongrel "$LINENO" "sys/sdt.h" "ac_cv_header_sys_sdt_h" "$ac_includes_default" +if test "x$ac_cv_header_sys_sdt_h" = xyes; then : tcl_ok=yes else tcl_ok=no @@ -18762,10 +10137,10 @@ fi if test $tcl_ok = yes; then # Extract the first word of "dtrace", so it can be a program name with args. set dummy dtrace; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_path_DTRACE+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_path_DTRACE+:} false; then : + $as_echo_n "(cached) " >&6 else case $DTRACE in [\\/]* | ?:[\\/]*) @@ -18778,38 +10153,37 @@ for as_dir in $as_dummy do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_path_DTRACE="$as_dir/$ac_word$ac_exec_ext" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS ;; esac fi DTRACE=$ac_cv_path_DTRACE - if test -n "$DTRACE"; then - echo "$as_me:$LINENO: result: $DTRACE" >&5 -echo "${ECHO_T}$DTRACE" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $DTRACE" >&5 +$as_echo "$DTRACE" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + test -z "$ac_cv_path_DTRACE" && tcl_ok=no fi -echo "$as_me:$LINENO: checking whether to enable DTrace support" >&5 -echo $ECHO_N "checking whether to enable DTrace support... $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether to enable DTrace support" >&5 +$as_echo_n "checking whether to enable DTrace support... " >&6; } MAKEFILE_SHELL='/bin/sh' if test $tcl_ok = yes; then -cat >>confdefs.h <<\_ACEOF -#define USE_DTRACE 1 -_ACEOF +$as_echo "#define USE_DTRACE 1" >>confdefs.h DTRACE_SRC="\${DTRACE_SRC}" DTRACE_HDR="\${DTRACE_HDR}" @@ -18827,24 +10201,20 @@ _ACEOF fi fi fi -echo "$as_me:$LINENO: result: $tcl_ok" >&5 -echo "${ECHO_T}$tcl_ok" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_ok" >&5 +$as_echo "$tcl_ok" >&6; } #-------------------------------------------------------------------- # The check below checks whether the cpuid instruction is usable. #-------------------------------------------------------------------- -echo "$as_me:$LINENO: checking whether the cpuid instruction is usable" >&5 -echo $ECHO_N "checking whether the cpuid instruction is usable... $ECHO_C" >&6 -if test "${tcl_cv_cpuid+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether the cpuid instruction is usable" >&5 +$as_echo_n "checking whether the cpuid instruction is usable... " >&6; } +if ${tcl_cv_cpuid+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -18863,45 +10233,19 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_cpuid=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_cpuid=no + tcl_cv_cpuid=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_cpuid" >&5 -echo "${ECHO_T}$tcl_cv_cpuid" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_cpuid" >&5 +$as_echo "$tcl_cv_cpuid" >&6; } if test $tcl_cv_cpuid = yes; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_CPUID 1 -_ACEOF +$as_echo "#define HAVE_CPUID 1" >>confdefs.h fi @@ -18932,38 +10276,38 @@ HTML_DIR='$(DISTDIR)/html' if test "`uname -s`" = "Darwin" ; then if test "`uname -s`" = "Darwin" ; then - echo "$as_me:$LINENO: checking how to package libraries" >&5 -echo $ECHO_N "checking how to package libraries... $ECHO_C" >&6 - # Check whether --enable-framework or --disable-framework was given. -if test "${enable_framework+set}" = set; then - enableval="$enable_framework" - enable_framework=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking how to package libraries" >&5 +$as_echo_n "checking how to package libraries... " >&6; } + # Check whether --enable-framework was given. +if test "${enable_framework+set}" = set; then : + enableval=$enable_framework; enable_framework=$enableval else enable_framework=no -fi; +fi + if test $enable_framework = yes; then if test $SHARED_BUILD = 0; then - { echo "$as_me:$LINENO: WARNING: Frameworks can only be built if --enable-shared is yes" >&5 -echo "$as_me: WARNING: Frameworks can only be built if --enable-shared is yes" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: Frameworks can only be built if --enable-shared is yes" >&5 +$as_echo "$as_me: WARNING: Frameworks can only be built if --enable-shared is yes" >&2;} enable_framework=no fi if test $tcl_corefoundation = no; then - { echo "$as_me:$LINENO: WARNING: Frameworks can only be used when CoreFoundation is available" >&5 -echo "$as_me: WARNING: Frameworks can only be used when CoreFoundation is available" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: Frameworks can only be used when CoreFoundation is available" >&5 +$as_echo "$as_me: WARNING: Frameworks can only be used when CoreFoundation is available" >&2;} enable_framework=no fi fi if test $enable_framework = yes; then - echo "$as_me:$LINENO: result: framework" >&5 -echo "${ECHO_T}framework" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: framework" >&5 +$as_echo "framework" >&6; } FRAMEWORK_BUILD=1 else if test $SHARED_BUILD = 1; then - echo "$as_me:$LINENO: result: shared library" >&5 -echo "${ECHO_T}shared library" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: shared library" >&5 +$as_echo "shared library" >&6; } else - echo "$as_me:$LINENO: result: static library" >&5 -echo "${ECHO_T}static library" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: static library" >&5 +$as_echo "static library" >&6; } fi FRAMEWORK_BUILD=0 fi @@ -18975,20 +10319,18 @@ echo "${ECHO_T}static library" >&6 TCL_SHLIB_LD_EXTRAS="${TCL_SHLIB_LD_EXTRAS}"' -sectcreate __TEXT __info_plist Tcl-Info.plist' EXTRA_TCLSH_LIBS='-sectcreate __TEXT __info_plist Tclsh-Info.plist' EXTRA_APP_CC_SWITCHES='-mdynamic-no-pic' - ac_config_files="$ac_config_files Tcl-Info.plist:../macosx/Tcl-Info.plist.in Tclsh-Info.plist:../macosx/Tclsh-Info.plist.in" + ac_config_files="$ac_config_files Tcl-Info.plist:../macosx/Tcl-Info.plist.in Tclsh-Info.plist:../macosx/Tclsh-Info.plist.in" TCL_YEAR="`date +%Y`" fi if test "$FRAMEWORK_BUILD" = "1" ; then -cat >>confdefs.h <<\_ACEOF -#define TCL_FRAMEWORK 1 -_ACEOF +$as_echo "#define TCL_FRAMEWORK 1" >>confdefs.h # Construct a fake local framework structure to make linking with # '-framework Tcl' and running of tcltest work - ac_config_commands="$ac_config_commands Tcl.framework" + ac_config_commands="$ac_config_commands Tcl.framework" LD_LIBRARY_PATH_VAR="DYLD_FRAMEWORK_PATH" # default install directory for bundled packages @@ -19148,7 +10490,7 @@ TCL_SHARED_BUILD=${SHARED_BUILD} - ac_config_files="$ac_config_files Makefile:../unix/Makefile.in dltest/Makefile:../unix/dltest/Makefile.in tclConfig.sh:../unix/tclConfig.sh.in tcl.pc:../unix/tcl.pc.in" +ac_config_files="$ac_config_files Makefile:../unix/Makefile.in dltest/Makefile:../unix/dltest/Makefile.in tclConfig.sh:../unix/tclConfig.sh.in tcl.pc:../unix/tcl.pc.in" cat >confcache <<\_ACEOF # This file is a shell script that caches the results of configure @@ -19168,39 +10510,70 @@ _ACEOF # The following way of writing the cache mishandles newlines in values, # but we know of no workaround that is simple, portable, and efficient. -# So, don't put newlines in cache variables' values. +# So, we kill variables containing newlines. # Ultrix sh set writes to stderr and can't be redirected directly, # and sets the high bit in the cache file unless we assign to the vars. -{ +( + for ac_var in `(set) 2>&1 | sed -n 's/^\([a-zA-Z_][a-zA-Z0-9_]*\)=.*/\1/p'`; do + eval ac_val=\$$ac_var + case $ac_val in #( + *${as_nl}*) + case $ac_var in #( + *_cv_*) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: cache variable $ac_var contains a newline" >&5 +$as_echo "$as_me: WARNING: cache variable $ac_var contains a newline" >&2;} ;; + esac + case $ac_var in #( + _ | IFS | as_nl) ;; #( + BASH_ARGV | BASH_SOURCE) eval $ac_var= ;; #( + *) { eval $ac_var=; unset $ac_var;} ;; + esac ;; + esac + done + (set) 2>&1 | - case `(ac_space=' '; set | grep ac_space) 2>&1` in - *ac_space=\ *) - # `set' does not quote correctly, so add quotes (double-quote - # substitution turns \\\\ into \\, and sed turns \\ into \). + case $as_nl`(ac_space=' '; set) 2>&1` in #( + *${as_nl}ac_space=\ *) + # `set' does not quote correctly, so add quotes: double-quote + # substitution turns \\\\ into \\, and sed turns \\ into \. sed -n \ "s/'/'\\\\''/g; s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1='\\2'/p" - ;; + ;; #( *) # `set' quotes correctly as required by POSIX, so do not add quotes. - sed -n \ - "s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1=\\2/p" + sed -n "/^[_$as_cr_alnum]*_cv_[_$as_cr_alnum]*=/p" ;; - esac; -} | + esac | + sort +) | sed ' + /^ac_cv_env_/b end t clear - : clear + :clear s/^\([^=]*\)=\(.*[{}].*\)$/test "${\1+set}" = set || &/ t end - /^ac_cv_env/!s/^\([^=]*\)=\(.*\)$/\1=${\1=\2}/ - : end' >>confcache -if diff $cache_file confcache >/dev/null 2>&1; then :; else - if test -w $cache_file; then - test "x$cache_file" != "x/dev/null" && echo "updating cache $cache_file" - cat confcache >$cache_file + s/^\([^=]*\)=\(.*\)$/\1=${\1=\2}/ + :end' >>confcache +if diff "$cache_file" confcache >/dev/null 2>&1; then :; else + if test -w "$cache_file"; then + if test "x$cache_file" != "x/dev/null"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: updating cache $cache_file" >&5 +$as_echo "$as_me: updating cache $cache_file" >&6;} + if test ! -f "$cache_file" || test -h "$cache_file"; then + cat confcache >"$cache_file" + else + case $cache_file in #( + */* | ?:*) + mv -f confcache "$cache_file"$$ && + mv -f "$cache_file"$$ "$cache_file" ;; #( + *) + mv -f confcache "$cache_file" ;; + esac + fi + fi else - echo "not updating unwritable cache $cache_file" + { $as_echo "$as_me:${as_lineno-$LINENO}: not updating unwritable cache $cache_file" >&5 +$as_echo "$as_me: not updating unwritable cache $cache_file" >&6;} fi fi rm -f confcache @@ -19209,63 +10582,56 @@ test "x$prefix" = xNONE && prefix=$ac_default_prefix # Let make expand exec_prefix. test "x$exec_prefix" = xNONE && exec_prefix='${prefix}' -# VPATH may cause trouble with some makes, so we remove $(srcdir), -# ${srcdir} and @srcdir@ from VPATH if srcdir is ".", strip leading and -# trailing colons and then remove the whole line if VPATH becomes empty -# (actually we leave an empty line to preserve line numbers). -if test "x$srcdir" = x.; then - ac_vpsub='/^[ ]*VPATH[ ]*=/{ -s/:*\$(srcdir):*/:/; -s/:*\${srcdir}:*/:/; -s/:*@srcdir@:*/:/; -s/^\([^=]*=[ ]*\):*/\1/; -s/:*$//; -s/^[^=]*=[ ]*$//; -}' -fi - # Transform confdefs.h into DEFS. # Protect against shell expansion while executing Makefile rules. # Protect against Makefile macro expansion. # # If the first sed substitution is executed (which looks for macros that -# take arguments), then we branch to the quote section. Otherwise, +# take arguments), then branch to the quote section. Otherwise, # look for a macro that doesn't take arguments. -cat >confdef2opt.sed <<\_ACEOF +ac_script=' +:mline +/\\$/{ + N + s,\\\n,, + b mline +} t clear -: clear -s,^[ ]*#[ ]*define[ ][ ]*\([^ (][^ (]*([^)]*)\)[ ]*\(.*\),-D\1=\2,g +:clear +s/^[ ]*#[ ]*define[ ][ ]*\([^ (][^ (]*([^)]*)\)[ ]*\(.*\)/-D\1=\2/g t quote -s,^[ ]*#[ ]*define[ ][ ]*\([^ ][^ ]*\)[ ]*\(.*\),-D\1=\2,g +s/^[ ]*#[ ]*define[ ][ ]*\([^ ][^ ]*\)[ ]*\(.*\)/-D\1=\2/g t quote -d -: quote -s,[ `~#$^&*(){}\\|;'"<>?],\\&,g -s,\[,\\&,g -s,\],\\&,g -s,\$,$$,g -p -_ACEOF -# We use echo to avoid assuming a particular line-breaking character. -# The extra dot is to prevent the shell from consuming trailing -# line-breaks from the sub-command output. A line-break within -# single-quotes doesn't work because, if this script is created in a -# platform that uses two characters for line-breaks (e.g., DOS), tr -# would break. -ac_LF_and_DOT=`echo; echo .` -DEFS=`sed -n -f confdef2opt.sed confdefs.h | tr "$ac_LF_and_DOT" ' .'` -rm -f confdef2opt.sed +b any +:quote +s/[ `~#$^&*(){}\\|;'\''"<>?]/\\&/g +s/\[/\\&/g +s/\]/\\&/g +s/\$/$$/g +H +:any +${ + g + s/^\n// + s/\n/ /g + p +} +' +DEFS=`sed -n "$ac_script" confdefs.h` CFLAGS="${CFLAGS} ${CPPFLAGS}"; CPPFLAGS="" -: ${CONFIG_STATUS=./config.status} + +: "${CONFIG_STATUS=./config.status}" +ac_write_fail=0 ac_clean_files_save=$ac_clean_files ac_clean_files="$ac_clean_files $CONFIG_STATUS" -{ echo "$as_me:$LINENO: creating $CONFIG_STATUS" >&5 -echo "$as_me: creating $CONFIG_STATUS" >&6;} -cat >$CONFIG_STATUS <<_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: creating $CONFIG_STATUS" >&5 +$as_echo "$as_me: creating $CONFIG_STATUS" >&6;} +as_write_fail=0 +cat >$CONFIG_STATUS <<_ASEOF || as_write_fail=1 #! $SHELL # Generated by $as_me. # Run this file to recreate the current configuration. @@ -19275,81 +10641,253 @@ cat >$CONFIG_STATUS <<_ACEOF debug=false ac_cs_recheck=false ac_cs_silent=false -SHELL=\${CONFIG_SHELL-$SHELL} -_ACEOF - -cat >>$CONFIG_STATUS <<\_ACEOF -## --------------------- ## -## M4sh Initialization. ## -## --------------------- ## -# Be Bourne compatible -if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then +SHELL=\${CONFIG_SHELL-$SHELL} +export SHELL +_ASEOF +cat >>$CONFIG_STATUS <<\_ASEOF || as_write_fail=1 +## -------------------- ## +## M4sh Initialization. ## +## -------------------- ## + +# Be more Bourne compatible +DUALCASE=1; export DUALCASE # for MKS sh +if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then : emulate sh NULLCMD=: - # Zsh 3.x and 4.x performs word splitting on ${1+"$@"}, which + # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which # is contrary to our usage. Disable this feature. alias -g '${1+"$@"}'='"$@"' -elif test -n "${BASH_VERSION+set}" && (set -o posix) >/dev/null 2>&1; then - set -o posix + setopt NO_GLOB_SUBST +else + case `(set -o) 2>/dev/null` in #( + *posix*) : + set -o posix ;; #( + *) : + ;; +esac fi -DUALCASE=1; export DUALCASE # for MKS sh -# Support unset when possible. -if ( (MAIL=60; unset MAIL) || exit) >/dev/null 2>&1; then - as_unset=unset -else - as_unset=false + +as_nl=' +' +export as_nl +# Printing a long string crashes Solaris 7 /usr/bin/printf. +as_echo='\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\' +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo$as_echo +# Prefer a ksh shell builtin over an external printf program on Solaris, +# but without wasting forks for bash or zsh. +if test -z "$BASH_VERSION$ZSH_VERSION" \ + && (test "X`print -r -- $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='print -r --' + as_echo_n='print -rn --' +elif (test "X`printf %s $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='printf %s\n' + as_echo_n='printf %s' +else + if test "X`(/usr/ucb/echo -n -n $as_echo) 2>/dev/null`" = "X-n $as_echo"; then + as_echo_body='eval /usr/ucb/echo -n "$1$as_nl"' + as_echo_n='/usr/ucb/echo -n' + else + as_echo_body='eval expr "X$1" : "X\\(.*\\)"' + as_echo_n_body='eval + arg=$1; + case $arg in #( + *"$as_nl"*) + expr "X$arg" : "X\\(.*\\)$as_nl"; + arg=`expr "X$arg" : ".*$as_nl\\(.*\\)"`;; + esac; + expr "X$arg" : "X\\(.*\\)" | tr -d "$as_nl" + ' + export as_echo_n_body + as_echo_n='sh -c $as_echo_n_body as_echo' + fi + export as_echo_body + as_echo='sh -c $as_echo_body as_echo' +fi + +# The user is always right. +if test "${PATH_SEPARATOR+set}" != set; then + PATH_SEPARATOR=: + (PATH='/bin;/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 && { + (PATH='/bin:/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 || + PATH_SEPARATOR=';' + } fi -# Work around bugs in pre-3.0 UWIN ksh. -$as_unset ENV MAIL MAILPATH +# IFS +# We need space, tab and new line, in precisely that order. Quoting is +# there to prevent editors from complaining about space-tab. +# (If _AS_PATH_WALK were called with IFS unset, it would disable word +# splitting by setting IFS to empty value.) +IFS=" "" $as_nl" + +# Find who we are. Look in the path if we contain no directory separator. +as_myself= +case $0 in #(( + *[\\/]* ) as_myself=$0 ;; + *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break + done +IFS=$as_save_IFS + + ;; +esac +# We did not find ourselves, most probably we were run as `sh COMMAND' +# in which case we are not to be found in the path. +if test "x$as_myself" = x; then + as_myself=$0 +fi +if test ! -f "$as_myself"; then + $as_echo "$as_myself: error: cannot find myself; rerun with an absolute file name" >&2 + exit 1 +fi + +# Unset variables that we do not need and which cause bugs (e.g. in +# pre-3.0 UWIN ksh). But do not cause bugs in bash 2.01; the "|| exit 1" +# suppresses any "Segmentation fault" message there. '((' could +# trigger a bug in pdksh 5.2.14. +for as_var in BASH_ENV ENV MAIL MAILPATH +do eval test x\${$as_var+set} = xset \ + && ( (unset $as_var) || exit 1) >/dev/null 2>&1 && unset $as_var || : +done PS1='$ ' PS2='> ' PS4='+ ' # NLS nuisances. -for as_var in \ - LANG LANGUAGE LC_ADDRESS LC_ALL LC_COLLATE LC_CTYPE LC_IDENTIFICATION \ - LC_MEASUREMENT LC_MESSAGES LC_MONETARY LC_NAME LC_NUMERIC LC_PAPER \ - LC_TELEPHONE LC_TIME -do - if (set +x; test -z "`(eval $as_var=C; export $as_var) 2>&1`"); then - eval $as_var=C; export $as_var - else - $as_unset $as_var +LC_ALL=C +export LC_ALL +LANGUAGE=C +export LANGUAGE + +# CDPATH. +(unset CDPATH) >/dev/null 2>&1 && unset CDPATH + + +# as_fn_error STATUS ERROR [LINENO LOG_FD] +# ---------------------------------------- +# Output "`basename $0`: error: ERROR" to stderr. If LINENO and LOG_FD are +# provided, also output the error to LOG_FD, referencing LINENO. Then exit the +# script with STATUS, using 1 if that was 0. +as_fn_error () +{ + as_status=$1; test $as_status -eq 0 && as_status=1 + if test "$4"; then + as_lineno=${as_lineno-"$3"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + $as_echo "$as_me:${as_lineno-$LINENO}: error: $2" >&$4 fi -done + $as_echo "$as_me: error: $2" >&2 + as_fn_exit $as_status +} # as_fn_error + + +# as_fn_set_status STATUS +# ----------------------- +# Set $? to STATUS, without forking. +as_fn_set_status () +{ + return $1 +} # as_fn_set_status + +# as_fn_exit STATUS +# ----------------- +# Exit the shell with STATUS, even in a "trap 0" or "set -e" context. +as_fn_exit () +{ + set +e + as_fn_set_status $1 + exit $1 +} # as_fn_exit + +# as_fn_unset VAR +# --------------- +# Portably unset VAR. +as_fn_unset () +{ + { eval $1=; unset $1;} +} +as_unset=as_fn_unset +# as_fn_append VAR VALUE +# ---------------------- +# Append the text in VALUE to the end of the definition contained in VAR. Take +# advantage of any shell optimizations that allow amortized linear growth over +# repeated appends, instead of the typical quadratic growth present in naive +# implementations. +if (eval "as_var=1; as_var+=2; test x\$as_var = x12") 2>/dev/null; then : + eval 'as_fn_append () + { + eval $1+=\$2 + }' +else + as_fn_append () + { + eval $1=\$$1\$2 + } +fi # as_fn_append + +# as_fn_arith ARG... +# ------------------ +# Perform arithmetic evaluation on the ARGs, and store the result in the +# global $as_val. Take advantage of shells that can avoid forks. The arguments +# must be portable across $(()) and expr. +if (eval "test \$(( 1 + 1 )) = 2") 2>/dev/null; then : + eval 'as_fn_arith () + { + as_val=$(( $* )) + }' +else + as_fn_arith () + { + as_val=`expr "$@" || test $? -eq 1` + } +fi # as_fn_arith + -# Required to use basename. -if expr a : '\(a\)' >/dev/null 2>&1; then +if expr a : '\(a\)' >/dev/null 2>&1 && + test "X`expr 00001 : '.*\(...\)'`" = X001; then as_expr=expr else as_expr=false fi -if (basename /) >/dev/null 2>&1 && test "X`basename / 2>&1`" = "X/"; then +if (basename -- /) >/dev/null 2>&1 && test "X`basename -- / 2>&1`" = "X/"; then as_basename=basename else as_basename=false fi +if (as_dir=`dirname -- /` && test "X$as_dir" = X/) >/dev/null 2>&1; then + as_dirname=dirname +else + as_dirname=false +fi -# Name of the executable. -as_me=`$as_basename "$0" || +as_me=`$as_basename -- "$0" || $as_expr X/"$0" : '.*/\([^/][^/]*\)/*$' \| \ X"$0" : 'X\(//\)$' \| \ - X"$0" : 'X\(/\)$' \| \ - . : '\(.\)' 2>/dev/null || -echo X/"$0" | - sed '/^.*\/\([^/][^/]*\)\/*$/{ s//\1/; q; } - /^X\/\(\/\/\)$/{ s//\1/; q; } - /^X\/\(\/\).*/{ s//\1/; q; } - s/.*/./; q'` + X"$0" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X/"$0" | + sed '/^.*\/\([^/][^/]*\)\/*$/{ + s//\1/ + q + } + /^X\/\(\/\/\)$/{ + s//\1/ + q + } + /^X\/\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` - -# PATH needs CR, and LINENO needs CR and PATH. # Avoid depending upon Character Ranges. as_cr_letters='abcdefghijklmnopqrstuvwxyz' as_cr_LETTERS='ABCDEFGHIJKLMNOPQRSTUVWXYZ' @@ -19357,148 +10895,111 @@ as_cr_Letters=$as_cr_letters$as_cr_LETTERS as_cr_digits='0123456789' as_cr_alnum=$as_cr_Letters$as_cr_digits -# The user is always right. -if test "${PATH_SEPARATOR+set}" != set; then - echo "#! /bin/sh" >conf$$.sh - echo "exit 0" >>conf$$.sh - chmod +x conf$$.sh - if (PATH="/nonexistent;."; conf$$.sh) >/dev/null 2>&1; then - PATH_SEPARATOR=';' - else - PATH_SEPARATOR=: - fi - rm -f conf$$.sh -fi - - - as_lineno_1=$LINENO - as_lineno_2=$LINENO - as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null` - test "x$as_lineno_1" != "x$as_lineno_2" && - test "x$as_lineno_3" = "x$as_lineno_2" || { - # Find who we are. Look in the path if we contain no path at all - # relative or not. - case $0 in - *[\\/]* ) as_myself=$0 ;; - *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in $PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break -done - - ;; - esac - # We did not find ourselves, most probably we were run as `sh COMMAND' - # in which case we are not to be found in the path. - if test "x$as_myself" = x; then - as_myself=$0 - fi - if test ! -f "$as_myself"; then - { { echo "$as_me:$LINENO: error: cannot find myself; rerun with an absolute path" >&5 -echo "$as_me: error: cannot find myself; rerun with an absolute path" >&2;} - { (exit 1); exit 1; }; } - fi - case $CONFIG_SHELL in - '') - as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in /bin$PATH_SEPARATOR/usr/bin$PATH_SEPARATOR$PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - for as_base in sh bash ksh sh5; do - case $as_dir in - /*) - if ("$as_dir/$as_base" -c ' - as_lineno_1=$LINENO - as_lineno_2=$LINENO - as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null` - test "x$as_lineno_1" != "x$as_lineno_2" && - test "x$as_lineno_3" = "x$as_lineno_2" ') 2>/dev/null; then - $as_unset BASH_ENV || test "${BASH_ENV+set}" != set || { BASH_ENV=; export BASH_ENV; } - $as_unset ENV || test "${ENV+set}" != set || { ENV=; export ENV; } - CONFIG_SHELL=$as_dir/$as_base - export CONFIG_SHELL - exec "$CONFIG_SHELL" "$0" ${1+"$@"} - fi;; - esac - done -done -;; - esac - - # Create $as_me.lineno as a copy of $as_myself, but with $LINENO - # uniformly replaced by the line number. The first 'sed' inserts a - # line-number line before each line; the second 'sed' does the real - # work. The second script uses 'N' to pair each line-number line - # with the numbered line, and appends trailing '-' during - # substitution so that $LINENO is not a special case at line end. - # (Raja R Harinath suggested sed '=', and Paul Eggert wrote the - # second 'sed' script. Blame Lee E. McMahon for sed's syntax. :-) - sed '=' <$as_myself | - sed ' - N - s,$,-, - : loop - s,^\(['$as_cr_digits']*\)\(.*\)[$]LINENO\([^'$as_cr_alnum'_]\),\1\2\1\3, - t loop - s,-$,, - s,^['$as_cr_digits']*\n,, - ' >$as_me.lineno && - chmod +x $as_me.lineno || - { { echo "$as_me:$LINENO: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&5 -echo "$as_me: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&2;} - { (exit 1); exit 1; }; } - - # Don't try to exec as it changes $[0], causing all sort of problems - # (the dirname of $[0] is not the place where we might find the - # original and so on. Autoconf is especially sensible to this). - . ./$as_me.lineno - # Exit status is that of the last command. - exit -} - - -case `echo "testing\c"; echo 1,2,3`,`echo -n testing; echo 1,2,3` in - *c*,-n*) ECHO_N= ECHO_C=' -' ECHO_T=' ' ;; - *c*,* ) ECHO_N=-n ECHO_C= ECHO_T= ;; - *) ECHO_N= ECHO_C='\c' ECHO_T= ;; +ECHO_C= ECHO_N= ECHO_T= +case `echo -n x` in #((((( +-n*) + case `echo 'xy\c'` in + *c*) ECHO_T=' ';; # ECHO_T is single tab character. + xy) ECHO_C='\c';; + *) echo `echo ksh88 bug on AIX 6.1` > /dev/null + ECHO_T=' ';; + esac;; +*) + ECHO_N='-n';; esac -if expr a : '\(a\)' >/dev/null 2>&1; then - as_expr=expr +rm -f conf$$ conf$$.exe conf$$.file +if test -d conf$$.dir; then + rm -f conf$$.dir/conf$$.file else - as_expr=false + rm -f conf$$.dir + mkdir conf$$.dir 2>/dev/null fi - -rm -f conf$$ conf$$.exe conf$$.file -echo >conf$$.file -if ln -s conf$$.file conf$$ 2>/dev/null; then - # We could just check for DJGPP; but this test a) works b) is more generic - # and c) will remain valid once DJGPP supports symlinks (DJGPP 2.04). - if test -f conf$$.exe; then - # Don't use ln at all; we don't have any links - as_ln_s='cp -p' - else +if (echo >conf$$.file) 2>/dev/null; then + if ln -s conf$$.file conf$$ 2>/dev/null; then as_ln_s='ln -s' + # ... but there are two gotchas: + # 1) On MSYS, both `ln -s file dir' and `ln file dir' fail. + # 2) DJGPP < 2.04 has no symlinks; `ln -s' creates a wrapper executable. + # In both cases, we have to default to `cp -pR'. + ln -s conf$$.file conf$$.dir 2>/dev/null && test ! -f conf$$.exe || + as_ln_s='cp -pR' + elif ln conf$$.file conf$$ 2>/dev/null; then + as_ln_s=ln + else + as_ln_s='cp -pR' fi -elif ln conf$$.file conf$$ 2>/dev/null; then - as_ln_s=ln else - as_ln_s='cp -p' + as_ln_s='cp -pR' fi -rm -f conf$$ conf$$.exe conf$$.file +rm -f conf$$ conf$$.exe conf$$.dir/conf$$.file conf$$.file +rmdir conf$$.dir 2>/dev/null + + +# as_fn_mkdir_p +# ------------- +# Create "$as_dir" as a directory, including parents if necessary. +as_fn_mkdir_p () +{ + + case $as_dir in #( + -*) as_dir=./$as_dir;; + esac + test -d "$as_dir" || eval $as_mkdir_p || { + as_dirs= + while :; do + case $as_dir in #( + *\'*) as_qdir=`$as_echo "$as_dir" | sed "s/'/'\\\\\\\\''/g"`;; #'( + *) as_qdir=$as_dir;; + esac + as_dirs="'$as_qdir' $as_dirs" + as_dir=`$as_dirname -- "$as_dir" || +$as_expr X"$as_dir" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ + X"$as_dir" : 'X\(//\)[^/]' \| \ + X"$as_dir" : 'X\(//\)$' \| \ + X"$as_dir" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X"$as_dir" | + sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ + s//\1/ + q + } + /^X\(\/\/\)[^/].*/{ + s//\1/ + q + } + /^X\(\/\/\)$/{ + s//\1/ + q + } + /^X\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` + test -d "$as_dir" && break + done + test -z "$as_dirs" || eval "mkdir $as_dirs" + } || test -d "$as_dir" || as_fn_error $? "cannot create directory $as_dir" + +} # as_fn_mkdir_p if mkdir -p . 2>/dev/null; then - as_mkdir_p=: + as_mkdir_p='mkdir -p "$as_dir"' else test -d ./-p && rmdir ./-p as_mkdir_p=false fi -as_executable_p="test -f" + +# as_fn_executable_p FILE +# ----------------------- +# Test if FILE is an executable regular file. +as_fn_executable_p () +{ + test -f "$1" && test -x "$1" +} # as_fn_executable_p +as_test_x='test -x' +as_executable_p=as_fn_executable_p # Sed expression to map a string onto a valid CPP name. as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" @@ -19507,31 +11008,20 @@ as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" as_tr_sh="eval sed 'y%*+%pp%;s%[^_$as_cr_alnum]%_%g'" -# IFS -# We need space, tab and new line, in precisely that order. -as_nl=' -' -IFS=" $as_nl" - -# CDPATH. -$as_unset CDPATH - exec 6>&1 - -# Open the log real soon, to keep \$[0] and so on meaningful, and to +## ----------------------------------- ## +## Main body of $CONFIG_STATUS script. ## +## ----------------------------------- ## +_ASEOF +test $as_write_fail = 0 && chmod +x $CONFIG_STATUS || ac_write_fail=1 + +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +# Save the log message, to keep $0 and so on meaningful, and to # report actual input values of CONFIG_FILES etc. instead of their -# values after options handling. Logging --version etc. is OK. -exec 5>>config.log -{ - echo - sed 'h;s/./-/g;s/^.../## /;s/...$/ ##/;p;x;p;x' <<_ASBOX -## Running $as_me. ## -_ASBOX -} >&5 -cat >&5 <<_CSEOF - -This file was extended by tcl $as_me 8.6, which was -generated by GNU Autoconf 2.59. Invocation command line was +# values after options handling. +ac_log=" +This file was extended by tcl $as_me 8.7, which was +generated by GNU Autoconf 2.69. Invocation command line was CONFIG_FILES = $CONFIG_FILES CONFIG_HEADERS = $CONFIG_HEADERS @@ -19539,43 +11029,41 @@ generated by GNU Autoconf 2.59. Invocation command line was CONFIG_COMMANDS = $CONFIG_COMMANDS $ $0 $@ -_CSEOF -echo "on `(hostname || uname -n) 2>/dev/null | sed 1q`" >&5 -echo >&5 +on `(hostname || uname -n) 2>/dev/null | sed 1q` +" + _ACEOF -# Files that config.status was made for. -if test -n "$ac_config_files"; then - echo "config_files=\"$ac_config_files\"" >>$CONFIG_STATUS -fi +case $ac_config_files in *" +"*) set x $ac_config_files; shift; ac_config_files=$*;; +esac -if test -n "$ac_config_headers"; then - echo "config_headers=\"$ac_config_headers\"" >>$CONFIG_STATUS -fi -if test -n "$ac_config_links"; then - echo "config_links=\"$ac_config_links\"" >>$CONFIG_STATUS -fi -if test -n "$ac_config_commands"; then - echo "config_commands=\"$ac_config_commands\"" >>$CONFIG_STATUS -fi +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +# Files that config.status was made for. +config_files="$ac_config_files" +config_commands="$ac_config_commands" -cat >>$CONFIG_STATUS <<\_ACEOF +_ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 ac_cs_usage="\ -\`$as_me' instantiates files from templates according to the -current configuration. +\`$as_me' instantiates files and other configuration actions +from templates according to the current configuration. Unless the files +and actions are specified as TAGs, all are instantiated by default. -Usage: $0 [OPTIONS] [FILE]... +Usage: $0 [OPTION]... [TAG]... -h, --help print this help, then exit - -V, --version print version number, then exit - -q, --quiet do not print progress messages + -V, --version print version number and configuration settings, then exit + --config print configuration, then exit + -q, --quiet, --silent + do not print progress messages -d, --debug don't remove temporary files --recheck update $as_me by reconfiguring in the same conditions - --file=FILE[:TEMPLATE] - instantiate the configuration file FILE + --file=FILE[:TEMPLATE] + instantiate the configuration file FILE Configuration files: $config_files @@ -19583,83 +11071,78 @@ $config_files Configuration commands: $config_commands -Report bugs to ." -_ACEOF +Report bugs to the package provider." -cat >>$CONFIG_STATUS <<_ACEOF +_ACEOF +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +ac_cs_config="`$as_echo "$ac_configure_args" | sed 's/^ //; s/[\\""\`\$]/\\\\&/g'`" ac_cs_version="\\ -tcl config.status 8.6 -configured by $0, generated by GNU Autoconf 2.59, - with options \\"`echo "$ac_configure_args" | sed 's/[\\""\`\$]/\\\\&/g'`\\" +tcl config.status 8.7 +configured by $0, generated by GNU Autoconf 2.69, + with options \\"\$ac_cs_config\\" -Copyright (C) 2003 Free Software Foundation, Inc. +Copyright (C) 2012 Free Software Foundation, Inc. This config.status script is free software; the Free Software Foundation gives unlimited permission to copy, distribute and modify it." -srcdir=$srcdir + +ac_pwd='$ac_pwd' +srcdir='$srcdir' +test -n "\$AWK" || AWK=awk _ACEOF -cat >>$CONFIG_STATUS <<\_ACEOF -# If no file are specified by the user, then we need to provide default -# value. By we need to know if files were specified by the user. +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +# The default lists apply if the user does not specify any file. ac_need_defaults=: while test $# != 0 do case $1 in - --*=*) - ac_option=`expr "x$1" : 'x\([^=]*\)='` - ac_optarg=`expr "x$1" : 'x[^=]*=\(.*\)'` + --*=?*) + ac_option=`expr "X$1" : 'X\([^=]*\)='` + ac_optarg=`expr "X$1" : 'X[^=]*=\(.*\)'` + ac_shift=: + ;; + --*=) + ac_option=`expr "X$1" : 'X\([^=]*\)='` + ac_optarg= ac_shift=: ;; - -*) + *) ac_option=$1 ac_optarg=$2 ac_shift=shift ;; - *) # This is not an option, so the user has probably given explicit - # arguments. - ac_option=$1 - ac_need_defaults=false;; esac case $ac_option in # Handling of the options. -_ACEOF -cat >>$CONFIG_STATUS <<\_ACEOF -recheck | --recheck | --rechec | --reche | --rech | --rec | --re | --r) ac_cs_recheck=: ;; - --version | --vers* | -V ) - echo "$ac_cs_version"; exit 0 ;; - --he | --h) - # Conflict between --help and --header - { { echo "$as_me:$LINENO: error: ambiguous option: $1 -Try \`$0 --help' for more information." >&5 -echo "$as_me: error: ambiguous option: $1 -Try \`$0 --help' for more information." >&2;} - { (exit 1); exit 1; }; };; - --help | --hel | -h ) - echo "$ac_cs_usage"; exit 0 ;; - --debug | --d* | -d ) + --version | --versio | --versi | --vers | --ver | --ve | --v | -V ) + $as_echo "$ac_cs_version"; exit ;; + --config | --confi | --conf | --con | --co | --c ) + $as_echo "$ac_cs_config"; exit ;; + --debug | --debu | --deb | --de | --d | -d ) debug=: ;; --file | --fil | --fi | --f ) $ac_shift - CONFIG_FILES="$CONFIG_FILES $ac_optarg" - ac_need_defaults=false;; - --header | --heade | --head | --hea ) - $ac_shift - CONFIG_HEADERS="$CONFIG_HEADERS $ac_optarg" + case $ac_optarg in + *\'*) ac_optarg=`$as_echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"` ;; + '') as_fn_error $? "missing file argument" ;; + esac + as_fn_append CONFIG_FILES " '$ac_optarg'" ac_need_defaults=false;; + --he | --h | --help | --hel | -h ) + $as_echo "$ac_cs_usage"; exit ;; -q | -quiet | --quiet | --quie | --qui | --qu | --q \ | -silent | --silent | --silen | --sile | --sil | --si | --s) ac_cs_silent=: ;; # This is an error. - -*) { { echo "$as_me:$LINENO: error: unrecognized option: $1 -Try \`$0 --help' for more information." >&5 -echo "$as_me: error: unrecognized option: $1 -Try \`$0 --help' for more information." >&2;} - { (exit 1); exit 1; }; } ;; + -*) as_fn_error $? "unrecognized option: \`$1' +Try \`$0 --help' for more information." ;; - *) ac_config_targets="$ac_config_targets $1" ;; + *) as_fn_append ac_config_targets " $1" + ac_need_defaults=false ;; esac shift @@ -19673,43 +11156,55 @@ if $ac_cs_silent; then fi _ACEOF -cat >>$CONFIG_STATUS <<_ACEOF +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 if \$ac_cs_recheck; then - echo "running $SHELL $0 " $ac_configure_args \$ac_configure_extra_args " --no-create --no-recursion" >&6 - exec $SHELL $0 $ac_configure_args \$ac_configure_extra_args --no-create --no-recursion + set X $SHELL '$0' $ac_configure_args \$ac_configure_extra_args --no-create --no-recursion + shift + \$as_echo "running CONFIG_SHELL=$SHELL \$*" >&6 + CONFIG_SHELL='$SHELL' + export CONFIG_SHELL + exec "\$@" fi _ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +exec 5>>config.log +{ + echo + sed 'h;s/./-/g;s/^.../## /;s/...$/ ##/;p;x;p;x' <<_ASBOX +## Running $as_me. ## +_ASBOX + $as_echo "$ac_log" +} >&5 -cat >>$CONFIG_STATUS <<_ACEOF +_ACEOF +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 # -# INIT-COMMANDS section. +# INIT-COMMANDS # - VERSION=${TCL_VERSION} _ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 - -cat >>$CONFIG_STATUS <<\_ACEOF +# Handling of arguments. for ac_config_target in $ac_config_targets do - case "$ac_config_target" in - # Handling of arguments. - "Tcl-Info.plist" ) CONFIG_FILES="$CONFIG_FILES Tcl-Info.plist:../macosx/Tcl-Info.plist.in" ;; - "Tclsh-Info.plist" ) CONFIG_FILES="$CONFIG_FILES Tclsh-Info.plist:../macosx/Tclsh-Info.plist.in" ;; - "Makefile" ) CONFIG_FILES="$CONFIG_FILES Makefile:../unix/Makefile.in" ;; - "dltest/Makefile" ) CONFIG_FILES="$CONFIG_FILES dltest/Makefile:../unix/dltest/Makefile.in" ;; - "tclConfig.sh" ) CONFIG_FILES="$CONFIG_FILES tclConfig.sh:../unix/tclConfig.sh.in" ;; - "tcl.pc" ) CONFIG_FILES="$CONFIG_FILES tcl.pc:../unix/tcl.pc.in" ;; - "Tcl.framework" ) CONFIG_COMMANDS="$CONFIG_COMMANDS Tcl.framework" ;; - *) { { echo "$as_me:$LINENO: error: invalid argument: $ac_config_target" >&5 -echo "$as_me: error: invalid argument: $ac_config_target" >&2;} - { (exit 1); exit 1; }; };; + case $ac_config_target in + "Tcl-Info.plist") CONFIG_FILES="$CONFIG_FILES Tcl-Info.plist:../macosx/Tcl-Info.plist.in" ;; + "Tclsh-Info.plist") CONFIG_FILES="$CONFIG_FILES Tclsh-Info.plist:../macosx/Tclsh-Info.plist.in" ;; + "Tcl.framework") CONFIG_COMMANDS="$CONFIG_COMMANDS Tcl.framework" ;; + "Makefile") CONFIG_FILES="$CONFIG_FILES Makefile:../unix/Makefile.in" ;; + "dltest/Makefile") CONFIG_FILES="$CONFIG_FILES dltest/Makefile:../unix/dltest/Makefile.in" ;; + "tclConfig.sh") CONFIG_FILES="$CONFIG_FILES tclConfig.sh:../unix/tclConfig.sh.in" ;; + "tcl.pc") CONFIG_FILES="$CONFIG_FILES tcl.pc:../unix/tcl.pc.in" ;; + + *) as_fn_error $? "invalid argument: \`$ac_config_target'" "$LINENO" 5;; esac done + # If the user did not use the arguments to specify the items to instantiate, # then the envvar interface is used. Set only those that are not. # We use the long form for the default assignment because of an extremely @@ -19720,533 +11215,427 @@ if $ac_need_defaults; then fi # Have a temporary directory for convenience. Make it in the build tree -# simply because there is no reason to put it here, and in addition, +# simply because there is no reason against having it here, and in addition, # creating and moving files from /tmp can sometimes cause problems. -# Create a temporary directory, and hook for its removal unless debugging. +# Hook for its removal unless debugging. +# Note that there is a small window in which the directory will not be cleaned: +# after its creation but before its name has been assigned to `$tmp'. $debug || { - trap 'exit_status=$?; rm -rf $tmp && exit $exit_status' 0 - trap '{ (exit 1); exit 1; }' 1 2 13 15 + tmp= ac_tmp= + trap 'exit_status=$? + : "${ac_tmp:=$tmp}" + { test ! -d "$ac_tmp" || rm -fr "$ac_tmp"; } && exit $exit_status +' 0 + trap 'as_fn_exit 1' 1 2 13 15 } - # Create a (secure) tmp directory for tmp files. { - tmp=`(umask 077 && mktemp -d -q "./confstatXXXXXX") 2>/dev/null` && - test -n "$tmp" && test -d "$tmp" + tmp=`(umask 077 && mktemp -d "./confXXXXXX") 2>/dev/null` && + test -d "$tmp" } || { - tmp=./confstat$$-$RANDOM - (umask 077 && mkdir $tmp) -} || + tmp=./conf$$-$RANDOM + (umask 077 && mkdir "$tmp") +} || as_fn_error $? "cannot create a temporary directory in ." "$LINENO" 5 +ac_tmp=$tmp + +# Set up the scripts for CONFIG_FILES section. +# No need to generate them if there are no CONFIG_FILES. +# This happens for instance with `./config.status config.h'. +if test -n "$CONFIG_FILES"; then + + +ac_cr=`echo X | tr X '\015'` +# On cygwin, bash can eat \r inside `` if the user requested igncr. +# But we know of no other shell where ac_cr would be empty at this +# point, so we can use a bashism as a fallback. +if test "x$ac_cr" = x; then + eval ac_cr=\$\'\\r\' +fi +ac_cs_awk_cr=`$AWK 'BEGIN { print "a\rb" }' /dev/null` +if test "$ac_cs_awk_cr" = "a${ac_cr}b"; then + ac_cs_awk_cr='\\r' +else + ac_cs_awk_cr=$ac_cr +fi + +echo 'BEGIN {' >"$ac_tmp/subs1.awk" && +_ACEOF + + { - echo "$me: cannot create a temporary directory in ." >&2 - { (exit 1); exit 1; } + echo "cat >conf$$subs.awk <<_ACEOF" && + echo "$ac_subst_vars" | sed 's/.*/&!$&$ac_delim/' && + echo "_ACEOF" +} >conf$$subs.sh || + as_fn_error $? "could not make $CONFIG_STATUS" "$LINENO" 5 +ac_delim_num=`echo "$ac_subst_vars" | grep -c '^'` +ac_delim='%!_!# ' +for ac_last_try in false false false false false :; do + . ./conf$$subs.sh || + as_fn_error $? "could not make $CONFIG_STATUS" "$LINENO" 5 + + ac_delim_n=`sed -n "s/.*$ac_delim\$/X/p" conf$$subs.awk | grep -c X` + if test $ac_delim_n = $ac_delim_num; then + break + elif $ac_last_try; then + as_fn_error $? "could not make $CONFIG_STATUS" "$LINENO" 5 + else + ac_delim="$ac_delim!$ac_delim _$ac_delim!! " + fi +done +rm -f conf$$subs.sh + +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +cat >>"\$ac_tmp/subs1.awk" <<\\_ACAWK && +_ACEOF +sed -n ' +h +s/^/S["/; s/!.*/"]=/ +p +g +s/^[^!]*!// +:repl +t repl +s/'"$ac_delim"'$// +t delim +:nl +h +s/\(.\{148\}\)..*/\1/ +t more1 +s/["\\]/\\&/g; s/^/"/; s/$/\\n"\\/ +p +n +b repl +:more1 +s/["\\]/\\&/g; s/^/"/; s/$/"\\/ +p +g +s/.\{148\}// +t nl +:delim +h +s/\(.\{148\}\)..*/\1/ +t more2 +s/["\\]/\\&/g; s/^/"/; s/$/"/ +p +b +:more2 +s/["\\]/\\&/g; s/^/"/; s/$/"\\/ +p +g +s/.\{148\}// +t delim +' >$CONFIG_STATUS || ac_write_fail=1 +rm -f conf$$subs.awk +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +_ACAWK +cat >>"\$ac_tmp/subs1.awk" <<_ACAWK && + for (key in S) S_is_set[key] = 1 + FS = "" + +} +{ + line = $ 0 + nfields = split(line, field, "@") + substed = 0 + len = length(field[1]) + for (i = 2; i < nfields; i++) { + key = field[i] + keylen = length(key) + if (S_is_set[key]) { + value = S[key] + line = substr(line, 1, len) "" value "" substr(line, len + keylen + 3) + len += length(value) + length(field[++i]) + substed = 1 + } else + len += 1 + keylen + } + + print line } +_ACAWK +_ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +if sed "s/$ac_cr//" < /dev/null > /dev/null 2>&1; then + sed "s/$ac_cr\$//; s/$ac_cr/$ac_cs_awk_cr/g" +else + cat +fi < "$ac_tmp/subs1.awk" > "$ac_tmp/subs.awk" \ + || as_fn_error $? "could not setup config files machinery" "$LINENO" 5 _ACEOF -cat >>$CONFIG_STATUS <<_ACEOF +# VPATH may cause trouble with some makes, so we remove sole $(srcdir), +# ${srcdir} and @srcdir@ entries from VPATH if srcdir is ".", strip leading and +# trailing colons and then remove the whole line if VPATH becomes empty +# (actually we leave an empty line to preserve line numbers). +if test "x$srcdir" = x.; then + ac_vpsub='/^[ ]*VPATH[ ]*=[ ]*/{ +h +s/// +s/^/:/ +s/[ ]*$/:/ +s/:\$(srcdir):/:/g +s/:\${srcdir}:/:/g +s/:@srcdir@:/:/g +s/^:*// +s/:*$// +x +s/\(=[ ]*\).*/\1/ +G +s/\n// +s/^[^=]*=[ ]*$// +}' +fi -# -# CONFIG_FILES section. -# +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +fi # test -n "$CONFIG_FILES" -# No need to generate the scripts if there are no CONFIG_FILES. -# This happens for instance when ./config.status config.h -if test -n "\$CONFIG_FILES"; then - # Protect against being on the right side of a sed subst in config.status. - sed 's/,@/@@/; s/@,/@@/; s/,;t t\$/@;t t/; 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continue;; + esac + case $ac_mode$ac_tag in + :[FHL]*:*);; + :L* | :C*:*) as_fn_error $? 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"write failure creating $CONFIG_STATUS" "$LINENO" 5 + # configure is writing to config.log, and then calls config.status. # config.status does its own redirection, appending to config.log. @@ -20266,7 +11655,11 @@ if test "$no_create" != yes; then exec 5>>config.log # Use ||, not &&, to avoid exiting from the if with $? = 1, which # would make configure fail if this is the last instruction. - $ac_cs_success || { (exit 1); exit 1; } + $ac_cs_success || as_fn_exit 1 +fi +if test -n "$ac_unrecognized_opts" && test "$enable_option_checking" != no; then + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: unrecognized options: $ac_unrecognized_opts" >&5 +$as_echo "$as_me: WARNING: unrecognized options: $ac_unrecognized_opts" >&2;} fi diff --git a/unix/configure.in b/unix/configure.in index 5d4cfbe..41a1f62 100644 --- a/unix/configure.in +++ b/unix/configure.in @@ -3,8 +3,8 @@ dnl This file is an input file used by the GNU "autoconf" program to dnl generate the file "configure", which is run during Tcl installation dnl to configure the system for the local environment. -AC_INIT([tcl],[8.6]) -AC_PREREQ(2.59) +AC_INIT([tcl],[8.7]) +AC_PREREQ(2.69) dnl This is only used when included from macosx/configure.ac m4_ifdef([SC_USE_CONFIG_HEADERS], [ @@ -22,10 +22,10 @@ m4_ifdef([SC_USE_CONFIG_HEADERS], [ #endif /* _TCLCONFIG */]) ]) -TCL_VERSION=8.6 +TCL_VERSION=8.7 TCL_MAJOR_VERSION=8 -TCL_MINOR_VERSION=6 -TCL_PATCH_LEVEL=".5" +TCL_MINOR_VERSION=7 +TCL_PATCH_LEVEL="a0" VERSION=${TCL_VERSION} EXTRA_INSTALL_BINARIES=${EXTRA_INSTALL_BINARIES:-"@:"} diff --git a/unix/tcl.spec b/unix/tcl.spec index 3044311..868a226 100644 --- a/unix/tcl.spec +++ b/unix/tcl.spec @@ -4,7 +4,7 @@ Name: tcl Summary: Tcl scripting language development environment -Version: 8.6.5 +Version: 8.7a0 Release: 2 License: BSD Group: Development/Languages diff --git a/win/README b/win/README index 5e060ef..972923c 100644 --- a/win/README +++ b/win/README @@ -1,4 +1,4 @@ -Tcl 8.6 for Windows +Tcl 8.7 for Windows 1. Introduction --------------- @@ -16,7 +16,7 @@ The information in this file is maintained on the web at: In order to compile Tcl for Windows, you need the following: - Tcl 8.6 Source Distribution (plus any patches) + Tcl 8.7 Source Distribution (plus any patches) and @@ -79,9 +79,9 @@ Use the Makefile "install" target to install Tcl. It will install it according to the prefix options you provided in the correct directory structure. -Note that in order to run tclsh86.exe, you must ensure that tcl86.dll is +Note that in order to run tclsh87.exe, you must ensure that tcl87.dll is on your path, in the system directory, or in the directory containing -tclsh86.exe. +tclsh87.exe. Note: Tcl no longer provides support for Win32s. diff --git a/win/configure b/win/configure index 2336111..a1f57d1 100755 --- a/win/configure +++ b/win/configure @@ -1,81 +1,459 @@ #! /bin/sh # Guess values for system-dependent variables and create Makefiles. -# Generated by GNU Autoconf 2.59. +# Generated by GNU Autoconf 2.69. +# +# +# Copyright (C) 1992-1996, 1998-2012 Free Software Foundation, Inc. +# # -# Copyright (C) 2003 Free Software Foundation, Inc. # This configure script is free software; the Free Software Foundation # gives unlimited permission to copy, distribute and modify it. -## --------------------- ## -## M4sh Initialization. ## -## --------------------- ## +## -------------------- ## +## M4sh Initialization. ## +## -------------------- ## -# Be Bourne compatible -if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then +# Be more Bourne compatible +DUALCASE=1; export DUALCASE # for MKS sh +if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then : emulate sh NULLCMD=: - # Zsh 3.x and 4.x performs word splitting on ${1+"$@"}, which + # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which # is contrary to our usage. Disable this feature. alias -g '${1+"$@"}'='"$@"' -elif test -n "${BASH_VERSION+set}" && (set -o posix) >/dev/null 2>&1; then - set -o posix + setopt NO_GLOB_SUBST +else + case `(set -o) 2>/dev/null` in #( + *posix*) : + set -o posix ;; #( + *) : + ;; +esac fi -DUALCASE=1; export DUALCASE # for MKS sh -# Support unset when possible. -if ( (MAIL=60; unset MAIL) || exit) >/dev/null 2>&1; then - as_unset=unset -else - as_unset=false + +as_nl=' +' +export as_nl +# Printing a long string crashes Solaris 7 /usr/bin/printf. +as_echo='\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\' +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo$as_echo +# Prefer a ksh shell builtin over an external printf program on Solaris, +# but without wasting forks for bash or zsh. +if test -z "$BASH_VERSION$ZSH_VERSION" \ + && (test "X`print -r -- $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='print -r --' + as_echo_n='print -rn --' +elif (test "X`printf %s $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='printf %s\n' + as_echo_n='printf %s' +else + if test "X`(/usr/ucb/echo -n -n $as_echo) 2>/dev/null`" = "X-n $as_echo"; then + as_echo_body='eval /usr/ucb/echo -n "$1$as_nl"' + as_echo_n='/usr/ucb/echo -n' + else + as_echo_body='eval expr "X$1" : "X\\(.*\\)"' + as_echo_n_body='eval + arg=$1; + case $arg in #( + *"$as_nl"*) + expr "X$arg" : "X\\(.*\\)$as_nl"; + arg=`expr "X$arg" : ".*$as_nl\\(.*\\)"`;; + esac; + expr "X$arg" : "X\\(.*\\)" | tr -d "$as_nl" + ' + export as_echo_n_body + as_echo_n='sh -c $as_echo_n_body as_echo' + fi + export as_echo_body + as_echo='sh -c $as_echo_body as_echo' +fi + +# The user is always right. +if test "${PATH_SEPARATOR+set}" != set; then + PATH_SEPARATOR=: + (PATH='/bin;/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 && { + (PATH='/bin:/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 || + PATH_SEPARATOR=';' + } fi -# Work around bugs in pre-3.0 UWIN ksh. -$as_unset ENV MAIL MAILPATH +# IFS +# We need space, tab and new line, in precisely that order. Quoting is +# there to prevent editors from complaining about space-tab. +# (If _AS_PATH_WALK were called with IFS unset, it would disable word +# splitting by setting IFS to empty value.) +IFS=" "" $as_nl" + +# Find who we are. Look in the path if we contain no directory separator. +as_myself= +case $0 in #(( + *[\\/]* ) as_myself=$0 ;; + *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break + done +IFS=$as_save_IFS + + ;; +esac +# We did not find ourselves, most probably we were run as `sh COMMAND' +# in which case we are not to be found in the path. +if test "x$as_myself" = x; then + as_myself=$0 +fi +if test ! -f "$as_myself"; then + $as_echo "$as_myself: error: cannot find myself; rerun with an absolute file name" >&2 + exit 1 +fi + +# Unset variables that we do not need and which cause bugs (e.g. in +# pre-3.0 UWIN ksh). But do not cause bugs in bash 2.01; the "|| exit 1" +# suppresses any "Segmentation fault" message there. '((' could +# trigger a bug in pdksh 5.2.14. +for as_var in BASH_ENV ENV MAIL MAILPATH +do eval test x\${$as_var+set} = xset \ + && ( (unset $as_var) || exit 1) >/dev/null 2>&1 && unset $as_var || : +done PS1='$ ' PS2='> ' PS4='+ ' # NLS nuisances. -for as_var in \ - LANG LANGUAGE LC_ADDRESS LC_ALL LC_COLLATE LC_CTYPE LC_IDENTIFICATION \ - LC_MEASUREMENT LC_MESSAGES LC_MONETARY LC_NAME LC_NUMERIC LC_PAPER \ - LC_TELEPHONE LC_TIME +LC_ALL=C +export LC_ALL +LANGUAGE=C +export LANGUAGE + +# CDPATH. +(unset CDPATH) >/dev/null 2>&1 && unset CDPATH + +# Use a proper internal environment variable to ensure we don't fall + # into an infinite loop, continuously re-executing ourselves. + if test x"${_as_can_reexec}" != xno && test "x$CONFIG_SHELL" != x; then + _as_can_reexec=no; export _as_can_reexec; + # We cannot yet assume a decent shell, so we have to provide a +# neutralization value for shells without unset; and this also +# works around shells that cannot unset nonexistent variables. +# Preserve -v and -x to the replacement shell. +BASH_ENV=/dev/null +ENV=/dev/null +(unset BASH_ENV) >/dev/null 2>&1 && unset BASH_ENV ENV +case $- in # (((( + *v*x* | *x*v* ) as_opts=-vx ;; + *v* ) as_opts=-v ;; + *x* ) as_opts=-x ;; + * ) as_opts= ;; +esac +exec $CONFIG_SHELL $as_opts "$as_myself" ${1+"$@"} +# Admittedly, this is quite paranoid, since all the known shells bail +# out after a failed `exec'. +$as_echo "$0: could not re-execute with $CONFIG_SHELL" >&2 +as_fn_exit 255 + fi + # We don't want this to propagate to other subprocesses. + { _as_can_reexec=; unset _as_can_reexec;} +if test "x$CONFIG_SHELL" = x; then + as_bourne_compatible="if test -n \"\${ZSH_VERSION+set}\" && (emulate sh) >/dev/null 2>&1; then : + emulate sh + NULLCMD=: + # Pre-4.2 versions of Zsh do word splitting on \${1+\"\$@\"}, which + # is contrary to our usage. Disable this feature. + alias -g '\${1+\"\$@\"}'='\"\$@\"' + setopt NO_GLOB_SUBST +else + case \`(set -o) 2>/dev/null\` in #( + *posix*) : + set -o posix ;; #( + *) : + ;; +esac +fi +" + as_required="as_fn_return () { (exit \$1); } +as_fn_success () { as_fn_return 0; } +as_fn_failure () { as_fn_return 1; } +as_fn_ret_success () { return 0; } +as_fn_ret_failure () { return 1; } + +exitcode=0 +as_fn_success || { exitcode=1; echo as_fn_success failed.; } +as_fn_failure && { exitcode=1; echo as_fn_failure succeeded.; } +as_fn_ret_success || { exitcode=1; echo as_fn_ret_success failed.; } +as_fn_ret_failure && { exitcode=1; echo as_fn_ret_failure succeeded.; } +if ( set x; as_fn_ret_success y && test x = \"\$1\" ); then : + +else + exitcode=1; echo positional parameters were not saved. +fi +test x\$exitcode = x0 || exit 1 +test -x / || exit 1" + as_suggested=" as_lineno_1=";as_suggested=$as_suggested$LINENO;as_suggested=$as_suggested" as_lineno_1a=\$LINENO + as_lineno_2=";as_suggested=$as_suggested$LINENO;as_suggested=$as_suggested" as_lineno_2a=\$LINENO + eval 'test \"x\$as_lineno_1'\$as_run'\" != \"x\$as_lineno_2'\$as_run'\" && + test \"x\`expr \$as_lineno_1'\$as_run' + 1\`\" = \"x\$as_lineno_2'\$as_run'\"' || exit 1 +test \$(( 1 + 1 )) = 2 || exit 1" + if (eval "$as_required") 2>/dev/null; then : + as_have_required=yes +else + as_have_required=no +fi + if test x$as_have_required = xyes && (eval "$as_suggested") 2>/dev/null; then : + +else + as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +as_found=false +for as_dir in /bin$PATH_SEPARATOR/usr/bin$PATH_SEPARATOR$PATH do - if (set +x; test -z "`(eval $as_var=C; export $as_var) 2>&1`"); then - eval $as_var=C; export $as_var + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + as_found=: + case $as_dir in #( + /*) + for as_base in sh bash ksh sh5; do + # Try only shells that exist, to save several forks. + as_shell=$as_dir/$as_base + if { test -f "$as_shell" || test -f "$as_shell.exe"; } && + { $as_echo "$as_bourne_compatible""$as_required" | as_run=a "$as_shell"; } 2>/dev/null; then : + CONFIG_SHELL=$as_shell as_have_required=yes + if { $as_echo "$as_bourne_compatible""$as_suggested" | as_run=a "$as_shell"; } 2>/dev/null; then : + break 2 +fi +fi + done;; + esac + as_found=false +done +$as_found || { if { test -f "$SHELL" || test -f "$SHELL.exe"; } && + { $as_echo "$as_bourne_compatible""$as_required" | as_run=a "$SHELL"; } 2>/dev/null; then : + CONFIG_SHELL=$SHELL as_have_required=yes +fi; } +IFS=$as_save_IFS + + + if test "x$CONFIG_SHELL" != x; then : + export CONFIG_SHELL + # We cannot yet assume a decent shell, so we have to provide a +# neutralization value for shells without unset; and this also +# works around shells that cannot unset nonexistent variables. +# Preserve -v and -x to the replacement shell. +BASH_ENV=/dev/null +ENV=/dev/null +(unset BASH_ENV) >/dev/null 2>&1 && unset BASH_ENV ENV +case $- in # (((( + *v*x* | *x*v* ) as_opts=-vx ;; + *v* ) as_opts=-v ;; + *x* ) as_opts=-x ;; + * ) as_opts= ;; +esac +exec $CONFIG_SHELL $as_opts "$as_myself" ${1+"$@"} +# Admittedly, this is quite paranoid, since all the known shells bail +# out after a failed `exec'. +$as_echo "$0: could not re-execute with $CONFIG_SHELL" >&2 +exit 255 +fi + + if test x$as_have_required = xno; then : + $as_echo "$0: This script requires a shell more modern than all" + $as_echo "$0: the shells that I found on your system." + if test x${ZSH_VERSION+set} = xset ; then + $as_echo "$0: In particular, zsh $ZSH_VERSION has bugs and should" + $as_echo "$0: be upgraded to zsh 4.3.4 or later." else - $as_unset $as_var + $as_echo "$0: Please tell bug-autoconf@gnu.org about your system, +$0: including any error possibly output before this +$0: message. Then install a modern shell, or manually run +$0: the script under such a shell if you do have one." fi -done + exit 1 +fi +fi +fi +SHELL=${CONFIG_SHELL-/bin/sh} +export SHELL +# Unset more variables known to interfere with behavior of common tools. +CLICOLOR_FORCE= GREP_OPTIONS= +unset CLICOLOR_FORCE GREP_OPTIONS + +## --------------------- ## +## M4sh Shell Functions. ## +## --------------------- ## +# as_fn_unset VAR +# --------------- +# Portably unset VAR. +as_fn_unset () +{ + { eval $1=; unset $1;} +} +as_unset=as_fn_unset + +# as_fn_set_status STATUS +# ----------------------- +# Set $? to STATUS, without forking. +as_fn_set_status () +{ + return $1 +} # as_fn_set_status + +# as_fn_exit STATUS +# ----------------- +# Exit the shell with STATUS, even in a "trap 0" or "set -e" context. +as_fn_exit () +{ + set +e + as_fn_set_status $1 + exit $1 +} # as_fn_exit + +# as_fn_mkdir_p +# ------------- +# Create "$as_dir" as a directory, including parents if necessary. +as_fn_mkdir_p () +{ + + case $as_dir in #( + -*) as_dir=./$as_dir;; + esac + test -d "$as_dir" || eval $as_mkdir_p || { + as_dirs= + while :; do + case $as_dir in #( + *\'*) as_qdir=`$as_echo "$as_dir" | sed "s/'/'\\\\\\\\''/g"`;; #'( + *) as_qdir=$as_dir;; + esac + as_dirs="'$as_qdir' $as_dirs" + as_dir=`$as_dirname -- "$as_dir" || +$as_expr X"$as_dir" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ + X"$as_dir" : 'X\(//\)[^/]' \| \ + X"$as_dir" : 'X\(//\)$' \| \ + X"$as_dir" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X"$as_dir" | + sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ + s//\1/ + q + } + /^X\(\/\/\)[^/].*/{ + s//\1/ + q + } + /^X\(\/\/\)$/{ + s//\1/ + q + } + /^X\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` + test -d "$as_dir" && break + done + test -z "$as_dirs" || eval "mkdir $as_dirs" + } || test -d "$as_dir" || as_fn_error $? "cannot create directory $as_dir" + + +} # as_fn_mkdir_p + +# as_fn_executable_p FILE +# ----------------------- +# Test if FILE is an executable regular file. +as_fn_executable_p () +{ + test -f "$1" && test -x "$1" +} # as_fn_executable_p +# as_fn_append VAR VALUE +# ---------------------- +# Append the text in VALUE to the end of the definition contained in VAR. Take +# advantage of any shell optimizations that allow amortized linear growth over +# repeated appends, instead of the typical quadratic growth present in naive +# implementations. +if (eval "as_var=1; as_var+=2; test x\$as_var = x12") 2>/dev/null; then : + eval 'as_fn_append () + { + eval $1+=\$2 + }' +else + as_fn_append () + { + eval $1=\$$1\$2 + } +fi # as_fn_append + +# as_fn_arith ARG... +# ------------------ +# Perform arithmetic evaluation on the ARGs, and store the result in the +# global $as_val. Take advantage of shells that can avoid forks. The arguments +# must be portable across $(()) and expr. +if (eval "test \$(( 1 + 1 )) = 2") 2>/dev/null; then : + eval 'as_fn_arith () + { + as_val=$(( $* )) + }' +else + as_fn_arith () + { + as_val=`expr "$@" || test $? -eq 1` + } +fi # as_fn_arith + + +# as_fn_error STATUS ERROR [LINENO LOG_FD] +# ---------------------------------------- +# Output "`basename $0`: error: ERROR" to stderr. If LINENO and LOG_FD are +# provided, also output the error to LOG_FD, referencing LINENO. Then exit the +# script with STATUS, using 1 if that was 0. +as_fn_error () +{ + as_status=$1; test $as_status -eq 0 && as_status=1 + if test "$4"; then + as_lineno=${as_lineno-"$3"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + $as_echo "$as_me:${as_lineno-$LINENO}: error: $2" >&$4 + fi + $as_echo "$as_me: error: $2" >&2 + as_fn_exit $as_status +} # as_fn_error -# Required to use basename. -if expr a : '\(a\)' >/dev/null 2>&1; then +if expr a : '\(a\)' >/dev/null 2>&1 && + test "X`expr 00001 : '.*\(...\)'`" = X001; then as_expr=expr else as_expr=false fi -if (basename /) >/dev/null 2>&1 && test "X`basename / 2>&1`" = "X/"; then +if (basename -- /) >/dev/null 2>&1 && test "X`basename -- / 2>&1`" = "X/"; then as_basename=basename else as_basename=false fi +if (as_dir=`dirname -- /` && test "X$as_dir" = X/) >/dev/null 2>&1; then + as_dirname=dirname +else + as_dirname=false +fi -# Name of the executable. -as_me=`$as_basename "$0" || +as_me=`$as_basename -- "$0" || $as_expr X/"$0" : '.*/\([^/][^/]*\)/*$' \| \ X"$0" : 'X\(//\)$' \| \ - X"$0" : 'X\(/\)$' \| \ - . : '\(.\)' 2>/dev/null || -echo X/"$0" | - sed '/^.*\/\([^/][^/]*\)\/*$/{ s//\1/; q; } - /^X\/\(\/\/\)$/{ s//\1/; q; } - /^X\/\(\/\).*/{ s//\1/; q; } - s/.*/./; q'` + X"$0" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X/"$0" | + sed '/^.*\/\([^/][^/]*\)\/*$/{ + s//\1/ + q + } + /^X\/\(\/\/\)$/{ + s//\1/ + q + } + /^X\/\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` - -# PATH needs CR, and LINENO needs CR and PATH. # Avoid depending upon Character Ranges. as_cr_letters='abcdefghijklmnopqrstuvwxyz' as_cr_LETTERS='ABCDEFGHIJKLMNOPQRSTUVWXYZ' @@ -83,146 +461,91 @@ as_cr_Letters=$as_cr_letters$as_cr_LETTERS as_cr_digits='0123456789' as_cr_alnum=$as_cr_Letters$as_cr_digits -# The user is always right. -if test "${PATH_SEPARATOR+set}" != set; then - echo "#! /bin/sh" >conf$$.sh - echo "exit 0" >>conf$$.sh - chmod +x conf$$.sh - if (PATH="/nonexistent;."; conf$$.sh) >/dev/null 2>&1; then - PATH_SEPARATOR=';' - else - PATH_SEPARATOR=: - fi - rm -f conf$$.sh -fi - - - as_lineno_1=$LINENO - as_lineno_2=$LINENO - as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null` - test "x$as_lineno_1" != "x$as_lineno_2" && - test "x$as_lineno_3" = "x$as_lineno_2" || { - # Find who we are. Look in the path if we contain no path at all - # relative or not. - case $0 in - *[\\/]* ) as_myself=$0 ;; - *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in $PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break -done - - ;; - esac - # We did not find ourselves, most probably we were run as `sh COMMAND' - # in which case we are not to be found in the path. - if test "x$as_myself" = x; then - as_myself=$0 - fi - if test ! -f "$as_myself"; then - { echo "$as_me: error: cannot find myself; rerun with an absolute path" >&2 - { (exit 1); exit 1; }; } - fi - case $CONFIG_SHELL in - '') - as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in /bin$PATH_SEPARATOR/usr/bin$PATH_SEPARATOR$PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - for as_base in sh bash ksh sh5; do - case $as_dir in - /*) - if ("$as_dir/$as_base" -c ' - as_lineno_1=$LINENO - as_lineno_2=$LINENO - as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null` - test "x$as_lineno_1" != "x$as_lineno_2" && - test "x$as_lineno_3" = "x$as_lineno_2" ') 2>/dev/null; then - $as_unset BASH_ENV || test "${BASH_ENV+set}" != set || { BASH_ENV=; export BASH_ENV; } - $as_unset ENV || test "${ENV+set}" != set || { ENV=; export ENV; } - CONFIG_SHELL=$as_dir/$as_base - export CONFIG_SHELL - exec "$CONFIG_SHELL" "$0" ${1+"$@"} - fi;; - esac - done -done -;; - esac - # Create $as_me.lineno as a copy of $as_myself, but with $LINENO - # uniformly replaced by the line number. The first 'sed' inserts a - # line-number line before each line; the second 'sed' does the real - # work. The second script uses 'N' to pair each line-number line - # with the numbered line, and appends trailing '-' during - # substitution so that $LINENO is not a special case at line end. - # (Raja R Harinath suggested sed '=', and Paul Eggert wrote the - # second 'sed' script. Blame Lee E. McMahon for sed's syntax. :-) - sed '=' <$as_myself | + as_lineno_1=$LINENO as_lineno_1a=$LINENO + as_lineno_2=$LINENO as_lineno_2a=$LINENO + eval 'test "x$as_lineno_1'$as_run'" != "x$as_lineno_2'$as_run'" && + test "x`expr $as_lineno_1'$as_run' + 1`" = "x$as_lineno_2'$as_run'"' || { + # Blame Lee E. McMahon (1931-1989) for sed's syntax. :-) + sed -n ' + p + /[$]LINENO/= + ' <$as_myself | sed ' + s/[$]LINENO.*/&-/ + t lineno + b + :lineno N - s,$,-, - : loop - s,^\(['$as_cr_digits']*\)\(.*\)[$]LINENO\([^'$as_cr_alnum'_]\),\1\2\1\3, + :loop + s/[$]LINENO\([^'$as_cr_alnum'_].*\n\)\(.*\)/\2\1\2/ t loop - s,-$,, - s,^['$as_cr_digits']*\n,, + s/-\n.*// ' >$as_me.lineno && - chmod +x $as_me.lineno || - { echo "$as_me: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&2 - { (exit 1); exit 1; }; } + chmod +x "$as_me.lineno" || + { $as_echo "$as_me: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&2; as_fn_exit 1; } + # If we had to re-execute with $CONFIG_SHELL, we're ensured to have + # already done that, so ensure we don't try to do so again and fall + # in an infinite loop. This has already happened in practice. + _as_can_reexec=no; export _as_can_reexec # Don't try to exec as it changes $[0], causing all sort of problems # (the dirname of $[0] is not the place where we might find the - # original and so on. Autoconf is especially sensible to this). - . ./$as_me.lineno + # original and so on. Autoconf is especially sensitive to this). + . "./$as_me.lineno" # Exit status is that of the last command. exit } - -case `echo "testing\c"; echo 1,2,3`,`echo -n testing; echo 1,2,3` in - *c*,-n*) ECHO_N= ECHO_C=' -' ECHO_T=' ' ;; - *c*,* ) ECHO_N=-n ECHO_C= ECHO_T= ;; - *) ECHO_N= ECHO_C='\c' ECHO_T= ;; +ECHO_C= ECHO_N= ECHO_T= +case `echo -n x` in #((((( +-n*) + case `echo 'xy\c'` in + *c*) ECHO_T=' ';; # ECHO_T is single tab character. + xy) ECHO_C='\c';; + *) echo `echo ksh88 bug on AIX 6.1` > /dev/null + ECHO_T=' ';; + esac;; +*) + ECHO_N='-n';; esac -if expr a : '\(a\)' >/dev/null 2>&1; then - as_expr=expr +rm -f conf$$ conf$$.exe conf$$.file +if test -d conf$$.dir; then + rm -f conf$$.dir/conf$$.file else - as_expr=false + rm -f conf$$.dir + mkdir conf$$.dir 2>/dev/null fi - -rm -f conf$$ conf$$.exe conf$$.file -echo >conf$$.file -if ln -s conf$$.file conf$$ 2>/dev/null; then - # We could just check for DJGPP; but this test a) works b) is more generic - # and c) will remain valid once DJGPP supports symlinks (DJGPP 2.04). - if test -f conf$$.exe; then - # Don't use ln at all; we don't have any links - as_ln_s='cp -p' - else +if (echo >conf$$.file) 2>/dev/null; then + if ln -s conf$$.file conf$$ 2>/dev/null; then as_ln_s='ln -s' + # ... but there are two gotchas: + # 1) On MSYS, both `ln -s file dir' and `ln file dir' fail. + # 2) DJGPP < 2.04 has no symlinks; `ln -s' creates a wrapper executable. + # In both cases, we have to default to `cp -pR'. + ln -s conf$$.file conf$$.dir 2>/dev/null && test ! -f conf$$.exe || + as_ln_s='cp -pR' + elif ln conf$$.file conf$$ 2>/dev/null; then + as_ln_s=ln + else + as_ln_s='cp -pR' fi -elif ln conf$$.file conf$$ 2>/dev/null; then - as_ln_s=ln else - as_ln_s='cp -p' + as_ln_s='cp -pR' fi -rm -f conf$$ conf$$.exe conf$$.file +rm -f conf$$ conf$$.exe conf$$.dir/conf$$.file conf$$.file +rmdir conf$$.dir 2>/dev/null if mkdir -p . 2>/dev/null; then - as_mkdir_p=: + as_mkdir_p='mkdir -p "$as_dir"' else test -d ./-p && rmdir ./-p as_mkdir_p=false fi -as_executable_p="test -f" +as_test_x='test -x' +as_executable_p=as_fn_executable_p # Sed expression to map a string onto a valid CPP name. as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" @@ -231,38 +554,25 @@ as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" as_tr_sh="eval sed 'y%*+%pp%;s%[^_$as_cr_alnum]%_%g'" -# IFS -# We need space, tab and new line, in precisely that order. -as_nl=' -' -IFS=" $as_nl" - -# CDPATH. -$as_unset CDPATH - +test -n "$DJDIR" || exec 7<&0 &1 # Name of the host. -# hostname on some systems (SVR3.2, Linux) returns a bogus exit status, +# hostname on some systems (SVR3.2, old GNU/Linux) returns a bogus exit status, # so uname gets run too. ac_hostname=`(hostname || uname -n) 2>/dev/null | sed 1q` -exec 6>&1 - # # Initializations. # ac_default_prefix=/usr/local +ac_clean_files= ac_config_libobj_dir=. +LIBOBJS= cross_compiling=no subdirs= MFLAGS= MAKEFLAGS= -SHELL=${CONFIG_SHELL-/bin/sh} - -# Maximum number of lines to put in a shell here document. -# This variable seems obsolete. It should probably be removed, and -# only ac_max_sed_lines should be used. -: ${ac_max_here_lines=38} # Identity of this package. PACKAGE_NAME= @@ -270,51 +580,214 @@ PACKAGE_TARNAME= PACKAGE_VERSION= PACKAGE_STRING= PACKAGE_BUGREPORT= +PACKAGE_URL= ac_unique_file="../generic/tcl.h" # Factoring default headers for most tests. ac_includes_default="\ #include -#if HAVE_SYS_TYPES_H +#ifdef HAVE_SYS_TYPES_H # include #endif -#if HAVE_SYS_STAT_H +#ifdef HAVE_SYS_STAT_H # include #endif -#if STDC_HEADERS +#ifdef STDC_HEADERS # include # include #else -# if HAVE_STDLIB_H +# ifdef HAVE_STDLIB_H # include # endif #endif -#if HAVE_STRING_H -# if !STDC_HEADERS && HAVE_MEMORY_H +#ifdef HAVE_STRING_H +# if !defined STDC_HEADERS && defined HAVE_MEMORY_H # include # endif # include #endif -#if HAVE_STRINGS_H +#ifdef HAVE_STRINGS_H # include #endif -#if HAVE_INTTYPES_H +#ifdef HAVE_INTTYPES_H # include -#else -# if HAVE_STDINT_H -# include -# endif #endif -#if HAVE_UNISTD_H +#ifdef HAVE_STDINT_H +# include +#endif +#ifdef HAVE_UNISTD_H # include #endif" -ac_subst_vars='SHELL PATH_SEPARATOR PACKAGE_NAME PACKAGE_TARNAME PACKAGE_VERSION PACKAGE_STRING PACKAGE_BUGREPORT exec_prefix prefix program_transform_name bindir sbindir libexecdir datadir sysconfdir sharedstatedir localstatedir libdir includedir oldincludedir infodir mandir build_alias host_alias target_alias DEFS ECHO_C ECHO_N ECHO_T LIBS CC CFLAGS LDFLAGS CPPFLAGS ac_ct_CC EXEEXT OBJEXT CPP EGREP AR ac_ct_AR RANLIB ac_ct_RANLIB RC ac_ct_RC SET_MAKE TCL_THREADS CYGPATH CELIB_DIR DL_LIBS CFLAGS_DEBUG CFLAGS_OPTIMIZE CFLAGS_WARNING ZLIB_DLL_FILE ZLIB_LIBS ZLIB_OBJS CFLAGS_DEFAULT LDFLAGS_DEFAULT VC_MANIFEST_EMBED_DLL VC_MANIFEST_EMBED_EXE TCL_WIN_VERSION MACHINE TCL_VERSION TCL_MAJOR_VERSION TCL_MINOR_VERSION TCL_PATCH_LEVEL PKG_CFG_ARGS TCL_EXE TCL_LIB_FILE TCL_LIB_FLAG TCL_STATIC_LIB_FILE TCL_STATIC_LIB_FLAG TCL_IMPORT_LIB_FILE TCL_IMPORT_LIB_FLAG TCL_LIB_SPEC TCL_STUB_LIB_FILE TCL_STUB_LIB_FLAG TCL_STUB_LIB_SPEC TCL_STUB_LIB_PATH TCL_INCLUDE_SPEC TCL_BUILD_STUB_LIB_SPEC TCL_BUILD_STUB_LIB_PATH TCL_DLL_FILE TCL_SRC_DIR TCL_BIN_DIR TCL_DBGX CFG_TCL_SHARED_LIB_SUFFIX CFG_TCL_UNSHARED_LIB_SUFFIX CFG_TCL_EXPORT_FILE_SUFFIX EXTRA_CFLAGS DEPARG CC_OBJNAME CC_EXENAME LDFLAGS_DEBUG LDFLAGS_OPTIMIZE LDFLAGS_CONSOLE LDFLAGS_WINDOW STLIB_LD SHLIB_LD SHLIB_LD_LIBS SHLIB_CFLAGS SHLIB_SUFFIX TCL_SHARED_BUILD LIBS_GUI DLLSUFFIX LIBPREFIX LIBSUFFIX EXESUFFIX LIBRARIES MAKE_LIB MAKE_STUB_LIB POST_MAKE_LIB MAKE_DLL MAKE_EXE TCL_BUILD_LIB_SPEC TCL_LD_SEARCH_FLAGS TCL_NEEDS_EXP_FILE TCL_BUILD_EXP_FILE TCL_EXP_FILE TCL_LIB_VERSIONS_OK TCL_PACKAGE_PATH TCL_DDE_VERSION TCL_DDE_MAJOR_VERSION TCL_DDE_MINOR_VERSION TCL_REG_VERSION TCL_REG_MAJOR_VERSION TCL_REG_MINOR_VERSION RC_OUT RC_TYPE RC_INCLUDE RC_DEFINE RC_DEFINES RES LIBOBJS LTLIBOBJS' +ac_subst_vars='LTLIBOBJS +LIBOBJS +RES +RC_DEFINES +RC_DEFINE +RC_INCLUDE +RC_TYPE +RC_OUT +TCL_REG_MINOR_VERSION +TCL_REG_MAJOR_VERSION +TCL_REG_VERSION +TCL_DDE_MINOR_VERSION +TCL_DDE_MAJOR_VERSION +TCL_DDE_VERSION +TCL_PACKAGE_PATH +TCL_LIB_VERSIONS_OK +TCL_EXP_FILE +TCL_BUILD_EXP_FILE +TCL_NEEDS_EXP_FILE +TCL_LD_SEARCH_FLAGS +TCL_BUILD_LIB_SPEC +MAKE_EXE +MAKE_DLL +POST_MAKE_LIB +MAKE_STUB_LIB +MAKE_LIB +LIBRARIES +EXESUFFIX +LIBSUFFIX +LIBPREFIX +DLLSUFFIX +LIBS_GUI +TCL_SHARED_BUILD +SHLIB_SUFFIX +SHLIB_CFLAGS +SHLIB_LD_LIBS +SHLIB_LD +STLIB_LD +LDFLAGS_WINDOW +LDFLAGS_CONSOLE +LDFLAGS_OPTIMIZE +LDFLAGS_DEBUG +CC_EXENAME +CC_OBJNAME +DEPARG +EXTRA_CFLAGS +CFG_TCL_EXPORT_FILE_SUFFIX +CFG_TCL_UNSHARED_LIB_SUFFIX +CFG_TCL_SHARED_LIB_SUFFIX +TCL_DBGX +TCL_BIN_DIR +TCL_SRC_DIR +TCL_DLL_FILE +TCL_BUILD_STUB_LIB_PATH +TCL_BUILD_STUB_LIB_SPEC +TCL_INCLUDE_SPEC +TCL_STUB_LIB_PATH +TCL_STUB_LIB_SPEC +TCL_STUB_LIB_FLAG +TCL_STUB_LIB_FILE +TCL_LIB_SPEC +TCL_IMPORT_LIB_FLAG +TCL_IMPORT_LIB_FILE +TCL_STATIC_LIB_FLAG +TCL_STATIC_LIB_FILE +TCL_LIB_FLAG +TCL_LIB_FILE +TCL_EXE +PKG_CFG_ARGS +TCL_PATCH_LEVEL +TCL_MINOR_VERSION +TCL_MAJOR_VERSION +TCL_VERSION +MACHINE +TCL_WIN_VERSION +VC_MANIFEST_EMBED_EXE +VC_MANIFEST_EMBED_DLL +LDFLAGS_DEFAULT +CFLAGS_DEFAULT +ZLIB_OBJS +ZLIB_LIBS +ZLIB_DLL_FILE +CFLAGS_WARNING +CFLAGS_OPTIMIZE +CFLAGS_DEBUG +DL_LIBS +CELIB_DIR +CYGPATH +TCL_THREADS +SET_MAKE +RC +RANLIB +AR +EGREP +GREP +CPP +OBJEXT +EXEEXT +ac_ct_CC +CPPFLAGS +LDFLAGS +CFLAGS +CC +target_alias +host_alias +build_alias +LIBS +ECHO_T +ECHO_N +ECHO_C +DEFS +mandir +localedir +libdir +psdir +pdfdir +dvidir +htmldir +infodir +docdir +oldincludedir +includedir +localstatedir +sharedstatedir +sysconfdir +datadir +datarootdir +libexecdir +sbindir +bindir +program_transform_name +prefix +exec_prefix +PACKAGE_URL +PACKAGE_BUGREPORT +PACKAGE_STRING +PACKAGE_VERSION +PACKAGE_TARNAME +PACKAGE_NAME +PATH_SEPARATOR +SHELL' ac_subst_files='' +ac_user_opts=' +enable_option_checking +enable_threads +with_encoding +enable_shared +enable_64bit +enable_wince +with_celib +enable_symbols +enable_embedded_manifest +' + ac_precious_vars='build_alias +host_alias +target_alias +CC +CFLAGS +LDFLAGS +LIBS +CPPFLAGS +CPP' + # Initialize some variables set by options. ac_init_help= ac_init_version=false +ac_unrecognized_opts= +ac_unrecognized_sep= # The variables have the same names as the options, with # dashes changed to underlines. cache_file=/dev/null @@ -337,34 +810,49 @@ x_libraries=NONE # and all the variables that are supposed to be based on exec_prefix # by default will actually change. # Use braces instead of parens because sh, perl, etc. also accept them. +# (The list follows the same order as the GNU Coding Standards.) bindir='${exec_prefix}/bin' sbindir='${exec_prefix}/sbin' libexecdir='${exec_prefix}/libexec' -datadir='${prefix}/share' +datarootdir='${prefix}/share' +datadir='${datarootdir}' sysconfdir='${prefix}/etc' sharedstatedir='${prefix}/com' localstatedir='${prefix}/var' -libdir='${exec_prefix}/lib' includedir='${prefix}/include' oldincludedir='/usr/include' -infodir='${prefix}/info' -mandir='${prefix}/man' +docdir='${datarootdir}/doc/${PACKAGE}' +infodir='${datarootdir}/info' +htmldir='${docdir}' +dvidir='${docdir}' +pdfdir='${docdir}' +psdir='${docdir}' +libdir='${exec_prefix}/lib' +localedir='${datarootdir}/locale' +mandir='${datarootdir}/man' ac_prev= +ac_dashdash= for ac_option do # If the previous option needs an argument, assign it. if test -n "$ac_prev"; then - eval "$ac_prev=\$ac_option" + eval $ac_prev=\$ac_option ac_prev= continue fi - ac_optarg=`expr "x$ac_option" : 'x[^=]*=\(.*\)'` + case $ac_option in + *=?*) ac_optarg=`expr "X$ac_option" : '[^=]*=\(.*\)'` ;; + *=) ac_optarg= ;; + *) ac_optarg=yes ;; + esac # Accept the important Cygnus configure options, so we can diagnose typos. - case $ac_option in + case $ac_dashdash$ac_option in + --) + ac_dashdash=yes ;; -bindir | --bindir | --bindi | --bind | --bin | --bi) ac_prev=bindir ;; @@ -386,33 +874,59 @@ do --config-cache | -C) cache_file=config.cache ;; - -datadir | --datadir | --datadi | --datad | --data | --dat | --da) + -datadir | --datadir | --datadi | --datad) ac_prev=datadir ;; - -datadir=* | --datadir=* | --datadi=* | --datad=* | --data=* | --dat=* \ - | --da=*) + -datadir=* | --datadir=* | --datadi=* | --datad=*) datadir=$ac_optarg ;; + -datarootdir | --datarootdir | --datarootdi | --datarootd | --dataroot \ + | --dataroo | --dataro | --datar) + ac_prev=datarootdir ;; + -datarootdir=* | --datarootdir=* | --datarootdi=* | --datarootd=* \ + | --dataroot=* | --dataroo=* | --dataro=* | --datar=*) + datarootdir=$ac_optarg ;; + -disable-* | --disable-*) - ac_feature=`expr "x$ac_option" : 'x-*disable-\(.*\)'` + ac_useropt=`expr "x$ac_option" : 'x-*disable-\(.*\)'` # Reject names that are not valid shell variable names. - expr "x$ac_feature" : ".*[^-_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid feature name: $ac_feature" >&2 - { (exit 1); exit 1; }; } - ac_feature=`echo $ac_feature | sed 's/-/_/g'` - eval "enable_$ac_feature=no" ;; + expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null && + as_fn_error $? "invalid feature name: $ac_useropt" + ac_useropt_orig=$ac_useropt + ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'` + case $ac_user_opts in + *" +"enable_$ac_useropt" +"*) ;; + *) ac_unrecognized_opts="$ac_unrecognized_opts$ac_unrecognized_sep--disable-$ac_useropt_orig" + ac_unrecognized_sep=', ';; + esac + eval enable_$ac_useropt=no ;; + + -docdir | --docdir | --docdi | --doc | --do) + ac_prev=docdir ;; + -docdir=* | --docdir=* | --docdi=* | --doc=* | --do=*) + docdir=$ac_optarg ;; + + -dvidir | --dvidir | --dvidi | --dvid | --dvi | --dv) + ac_prev=dvidir ;; + -dvidir=* | --dvidir=* | --dvidi=* | --dvid=* | --dvi=* | --dv=*) + dvidir=$ac_optarg ;; -enable-* | --enable-*) - ac_feature=`expr "x$ac_option" : 'x-*enable-\([^=]*\)'` + ac_useropt=`expr "x$ac_option" : 'x-*enable-\([^=]*\)'` # Reject names that are not valid shell variable names. - expr "x$ac_feature" : ".*[^-_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid feature name: $ac_feature" >&2 - { (exit 1); exit 1; }; } - ac_feature=`echo $ac_feature | sed 's/-/_/g'` - case $ac_option in - *=*) ac_optarg=`echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"`;; - *) ac_optarg=yes ;; + expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null && + as_fn_error $? "invalid feature name: $ac_useropt" + ac_useropt_orig=$ac_useropt + ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'` + case $ac_user_opts in + *" +"enable_$ac_useropt" +"*) ;; + *) ac_unrecognized_opts="$ac_unrecognized_opts$ac_unrecognized_sep--enable-$ac_useropt_orig" + ac_unrecognized_sep=', ';; esac - eval "enable_$ac_feature='$ac_optarg'" ;; + eval enable_$ac_useropt=\$ac_optarg ;; -exec-prefix | --exec_prefix | --exec-prefix | --exec-prefi \ | --exec-pref | --exec-pre | --exec-pr | --exec-p | --exec- \ @@ -439,6 +953,12 @@ do -host=* | --host=* | --hos=* | --ho=*) host_alias=$ac_optarg ;; + -htmldir | --htmldir | --htmldi | --htmld | --html | --htm | --ht) + ac_prev=htmldir ;; + -htmldir=* | --htmldir=* | --htmldi=* | --htmld=* | --html=* | --htm=* \ + | --ht=*) + htmldir=$ac_optarg ;; + -includedir | --includedir | --includedi | --included | --include \ | --includ | --inclu | --incl | --inc) ac_prev=includedir ;; @@ -463,13 +983,16 @@ do | --libexe=* | --libex=* | --libe=*) libexecdir=$ac_optarg ;; + -localedir | --localedir | --localedi | --localed | --locale) + ac_prev=localedir ;; + -localedir=* | --localedir=* | --localedi=* | --localed=* | --locale=*) + localedir=$ac_optarg ;; + -localstatedir | --localstatedir | --localstatedi | --localstated \ - | --localstate | --localstat | --localsta | --localst \ - | --locals | --local | --loca | --loc | --lo) + | --localstate | --localstat | --localsta | --localst | --locals) ac_prev=localstatedir ;; -localstatedir=* | --localstatedir=* | --localstatedi=* | --localstated=* \ - | --localstate=* | --localstat=* | --localsta=* | --localst=* \ - | --locals=* | --local=* | --loca=* | --loc=* | --lo=*) + | --localstate=* | --localstat=* | --localsta=* | --localst=* | --locals=*) localstatedir=$ac_optarg ;; -mandir | --mandir | --mandi | --mand | --man | --ma | --m) @@ -534,6 +1057,16 @@ do | --progr-tra=* | --program-tr=* | --program-t=*) program_transform_name=$ac_optarg ;; + -pdfdir | --pdfdir | --pdfdi | --pdfd | --pdf | --pd) + ac_prev=pdfdir ;; + -pdfdir=* | --pdfdir=* | --pdfdi=* | --pdfd=* | --pdf=* | --pd=*) + pdfdir=$ac_optarg ;; + + -psdir | --psdir | --psdi | --psd | --ps) + ac_prev=psdir ;; + -psdir=* | --psdir=* | --psdi=* | --psd=* | --ps=*) + psdir=$ac_optarg ;; + -q | -quiet | --quiet | --quie | --qui | --qu | --q \ | -silent | --silent | --silen | --sile | --sil) silent=yes ;; @@ -584,26 +1117,36 @@ do ac_init_version=: ;; -with-* | --with-*) - ac_package=`expr "x$ac_option" : 'x-*with-\([^=]*\)'` + ac_useropt=`expr "x$ac_option" : 'x-*with-\([^=]*\)'` # Reject names that are not valid shell variable names. - expr "x$ac_package" : ".*[^-_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid package name: $ac_package" >&2 - { (exit 1); exit 1; }; } - ac_package=`echo $ac_package| sed 's/-/_/g'` - case $ac_option in - *=*) ac_optarg=`echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"`;; - *) ac_optarg=yes ;; + expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null && + as_fn_error $? "invalid package name: $ac_useropt" + ac_useropt_orig=$ac_useropt + ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'` + case $ac_user_opts in + *" +"with_$ac_useropt" +"*) ;; + *) ac_unrecognized_opts="$ac_unrecognized_opts$ac_unrecognized_sep--with-$ac_useropt_orig" + ac_unrecognized_sep=', ';; esac - eval "with_$ac_package='$ac_optarg'" ;; + eval with_$ac_useropt=\$ac_optarg ;; -without-* | --without-*) - ac_package=`expr "x$ac_option" : 'x-*without-\(.*\)'` + ac_useropt=`expr "x$ac_option" : 'x-*without-\(.*\)'` # Reject names that are not valid shell variable names. - expr "x$ac_package" : ".*[^-_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid package name: $ac_package" >&2 - { (exit 1); exit 1; }; } - ac_package=`echo $ac_package | sed 's/-/_/g'` - eval "with_$ac_package=no" ;; + expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null && + as_fn_error $? "invalid package name: $ac_useropt" + ac_useropt_orig=$ac_useropt + ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'` + case $ac_user_opts in + *" +"with_$ac_useropt" +"*) ;; + *) ac_unrecognized_opts="$ac_unrecognized_opts$ac_unrecognized_sep--without-$ac_useropt_orig" + ac_unrecognized_sep=', ';; + esac + eval with_$ac_useropt=no ;; --x) # Obsolete; use --with-x. @@ -623,27 +1166,26 @@ do | --x-librar=* | --x-libra=* | --x-libr=* | --x-lib=* | --x-li=* | --x-l=*) x_libraries=$ac_optarg ;; - -*) { echo "$as_me: error: unrecognized option: $ac_option -Try \`$0 --help' for more information." >&2 - { (exit 1); exit 1; }; } + -*) as_fn_error $? "unrecognized option: \`$ac_option' +Try \`$0 --help' for more information" ;; *=*) ac_envvar=`expr "x$ac_option" : 'x\([^=]*\)='` # Reject names that are not valid shell variable names. - expr "x$ac_envvar" : ".*[^_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid variable name: $ac_envvar" >&2 - { (exit 1); exit 1; }; } - ac_optarg=`echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"` - eval "$ac_envvar='$ac_optarg'" + case $ac_envvar in #( + '' | [0-9]* | *[!_$as_cr_alnum]* ) + as_fn_error $? "invalid variable name: \`$ac_envvar'" ;; + esac + eval $ac_envvar=\$ac_optarg export $ac_envvar ;; *) # FIXME: should be removed in autoconf 3.0. - echo "$as_me: WARNING: you should use --build, --host, --target" >&2 + $as_echo "$as_me: WARNING: you should use --build, --host, --target" >&2 expr "x$ac_option" : ".*[^-._$as_cr_alnum]" >/dev/null && - echo "$as_me: WARNING: invalid host type: $ac_option" >&2 - : ${build_alias=$ac_option} ${host_alias=$ac_option} ${target_alias=$ac_option} + $as_echo "$as_me: WARNING: invalid host type: $ac_option" >&2 + : "${build_alias=$ac_option} ${host_alias=$ac_option} ${target_alias=$ac_option}" ;; esac @@ -651,31 +1193,36 @@ done if test -n "$ac_prev"; then ac_option=--`echo $ac_prev | sed 's/_/-/g'` - { echo "$as_me: error: missing argument to $ac_option" >&2 - { (exit 1); exit 1; }; } + as_fn_error $? "missing argument to $ac_option" fi -# Be sure to have absolute paths. -for ac_var in exec_prefix prefix -do - eval ac_val=$`echo $ac_var` - case $ac_val in - [\\/$]* | ?:[\\/]* | NONE | '' ) ;; - *) { echo "$as_me: error: expected an absolute directory name for --$ac_var: $ac_val" >&2 - { (exit 1); exit 1; }; };; +if test -n "$ac_unrecognized_opts"; then + case $enable_option_checking in + no) ;; + fatal) as_fn_error $? "unrecognized options: $ac_unrecognized_opts" ;; + *) $as_echo "$as_me: WARNING: unrecognized options: $ac_unrecognized_opts" >&2 ;; esac -done +fi -# Be sure to have absolute paths. -for ac_var in bindir sbindir libexecdir datadir sysconfdir sharedstatedir \ - localstatedir libdir includedir oldincludedir infodir mandir +# Check all directory arguments for consistency. +for ac_var in exec_prefix prefix bindir sbindir libexecdir datarootdir \ + datadir sysconfdir sharedstatedir localstatedir includedir \ + oldincludedir docdir infodir htmldir dvidir pdfdir psdir \ + libdir localedir mandir do - eval ac_val=$`echo $ac_var` + eval ac_val=\$$ac_var + # Remove trailing slashes. case $ac_val in - [\\/$]* | ?:[\\/]* ) ;; - *) { echo "$as_me: error: expected an absolute directory name for --$ac_var: $ac_val" >&2 - { (exit 1); exit 1; }; };; + */ ) + ac_val=`expr "X$ac_val" : 'X\(.*[^/]\)' \| "X$ac_val" : 'X\(.*\)'` + eval $ac_var=\$ac_val;; esac + # Be sure to have absolute directory names. + case $ac_val in + [\\/$]* | ?:[\\/]* ) continue;; + NONE | '' ) case $ac_var in *prefix ) continue;; esac;; + esac + as_fn_error $? "expected an absolute directory name for --$ac_var: $ac_val" done # There might be people who depend on the old broken behavior: `$host' @@ -689,8 +1236,6 @@ target=$target_alias if test "x$host_alias" != x; then if test "x$build_alias" = x; then cross_compiling=maybe - echo "$as_me: WARNING: If you wanted to set the --build type, don't use --host. - If a cross compiler is detected then cross compile mode will be used." >&2 elif test "x$build_alias" != "x$host_alias"; then cross_compiling=yes fi @@ -702,74 +1247,72 @@ test -n "$host_alias" && ac_tool_prefix=$host_alias- test "$silent" = yes && exec 6>/dev/null +ac_pwd=`pwd` && test -n "$ac_pwd" && +ac_ls_di=`ls -di .` && +ac_pwd_ls_di=`cd "$ac_pwd" && ls -di .` || + as_fn_error $? "working directory cannot be determined" +test "X$ac_ls_di" = "X$ac_pwd_ls_di" || + as_fn_error $? "pwd does not report name of working directory" + + # Find the source files, if location was not specified. if test -z "$srcdir"; then ac_srcdir_defaulted=yes - # Try the directory containing this script, then its parent. - ac_confdir=`(dirname "$0") 2>/dev/null || -$as_expr X"$0" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ - X"$0" : 'X\(//\)[^/]' \| \ - X"$0" : 'X\(//\)$' \| \ - X"$0" : 'X\(/\)' \| \ - . : '\(.\)' 2>/dev/null || -echo X"$0" | - sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ s//\1/; q; } - /^X\(\/\/\)[^/].*/{ s//\1/; q; } - /^X\(\/\/\)$/{ s//\1/; q; } - /^X\(\/\).*/{ s//\1/; q; } - s/.*/./; q'` + # Try the directory containing this script, then the parent directory. + ac_confdir=`$as_dirname -- "$as_myself" || +$as_expr X"$as_myself" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ + X"$as_myself" : 'X\(//\)[^/]' \| \ + X"$as_myself" : 'X\(//\)$' \| \ + X"$as_myself" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X"$as_myself" | + sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ + s//\1/ + q + } + /^X\(\/\/\)[^/].*/{ + s//\1/ + q + } + /^X\(\/\/\)$/{ + s//\1/ + q + } + /^X\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` srcdir=$ac_confdir - if test ! -r $srcdir/$ac_unique_file; then + if test ! -r "$srcdir/$ac_unique_file"; then srcdir=.. fi else ac_srcdir_defaulted=no fi -if test ! -r $srcdir/$ac_unique_file; then - if test "$ac_srcdir_defaulted" = yes; then - { echo "$as_me: error: cannot find sources ($ac_unique_file) in $ac_confdir or .." >&2 - { (exit 1); exit 1; }; } - else - { echo "$as_me: error: cannot find sources ($ac_unique_file) in $srcdir" >&2 - { (exit 1); exit 1; }; } - fi -fi -(cd $srcdir && test -r ./$ac_unique_file) 2>/dev/null || - { echo "$as_me: error: sources are in $srcdir, but \`cd $srcdir' does not work" >&2 - { (exit 1); exit 1; }; } -srcdir=`echo "$srcdir" | sed 's%\([^\\/]\)[\\/]*$%\1%'` -ac_env_build_alias_set=${build_alias+set} -ac_env_build_alias_value=$build_alias -ac_cv_env_build_alias_set=${build_alias+set} -ac_cv_env_build_alias_value=$build_alias -ac_env_host_alias_set=${host_alias+set} -ac_env_host_alias_value=$host_alias -ac_cv_env_host_alias_set=${host_alias+set} -ac_cv_env_host_alias_value=$host_alias -ac_env_target_alias_set=${target_alias+set} -ac_env_target_alias_value=$target_alias -ac_cv_env_target_alias_set=${target_alias+set} -ac_cv_env_target_alias_value=$target_alias -ac_env_CC_set=${CC+set} -ac_env_CC_value=$CC -ac_cv_env_CC_set=${CC+set} -ac_cv_env_CC_value=$CC -ac_env_CFLAGS_set=${CFLAGS+set} -ac_env_CFLAGS_value=$CFLAGS -ac_cv_env_CFLAGS_set=${CFLAGS+set} -ac_cv_env_CFLAGS_value=$CFLAGS -ac_env_LDFLAGS_set=${LDFLAGS+set} -ac_env_LDFLAGS_value=$LDFLAGS -ac_cv_env_LDFLAGS_set=${LDFLAGS+set} -ac_cv_env_LDFLAGS_value=$LDFLAGS -ac_env_CPPFLAGS_set=${CPPFLAGS+set} -ac_env_CPPFLAGS_value=$CPPFLAGS -ac_cv_env_CPPFLAGS_set=${CPPFLAGS+set} -ac_cv_env_CPPFLAGS_value=$CPPFLAGS -ac_env_CPP_set=${CPP+set} -ac_env_CPP_value=$CPP -ac_cv_env_CPP_set=${CPP+set} -ac_cv_env_CPP_value=$CPP +if test ! -r "$srcdir/$ac_unique_file"; then + test "$ac_srcdir_defaulted" = yes && srcdir="$ac_confdir or .." + as_fn_error $? "cannot find sources ($ac_unique_file) in $srcdir" +fi +ac_msg="sources are in $srcdir, but \`cd $srcdir' does not work" +ac_abs_confdir=`( + cd "$srcdir" && test -r "./$ac_unique_file" || as_fn_error $? "$ac_msg" + pwd)` +# When building in place, set srcdir=. +if test "$ac_abs_confdir" = "$ac_pwd"; then + srcdir=. +fi +# Remove unnecessary trailing slashes from srcdir. +# Double slashes in file names in object file debugging info +# mess up M-x gdb in Emacs. +case $srcdir in +*/) srcdir=`expr "X$srcdir" : 'X\(.*[^/]\)' \| "X$srcdir" : 'X\(.*\)'`;; +esac +for ac_var in $ac_precious_vars; do + eval ac_env_${ac_var}_set=\${${ac_var}+set} + eval ac_env_${ac_var}_value=\$${ac_var} + eval ac_cv_env_${ac_var}_set=\${${ac_var}+set} + eval ac_cv_env_${ac_var}_value=\$${ac_var} +done # # Report the --help message. @@ -792,20 +1335,17 @@ Configuration: --help=short display options specific to this package --help=recursive display the short help of all the included packages -V, --version display version information and exit - -q, --quiet, --silent do not print \`checking...' messages + -q, --quiet, --silent do not print \`checking ...' messages --cache-file=FILE cache test results in FILE [disabled] -C, --config-cache alias for \`--cache-file=config.cache' -n, --no-create do not create output files --srcdir=DIR find the sources in DIR [configure dir or \`..'] -_ACEOF - - cat <<_ACEOF Installation directories: --prefix=PREFIX install architecture-independent files in PREFIX - [$ac_default_prefix] + [$ac_default_prefix] --exec-prefix=EPREFIX install architecture-dependent files in EPREFIX - [PREFIX] + [PREFIX] By default, \`make install' will install all the files in \`$ac_default_prefix/bin', \`$ac_default_prefix/lib' etc. You can specify @@ -815,18 +1355,25 @@ for instance \`--prefix=\$HOME'. For better control, use the options below. Fine tuning of the installation directories: - --bindir=DIR user executables [EPREFIX/bin] - --sbindir=DIR system admin executables [EPREFIX/sbin] - --libexecdir=DIR program executables [EPREFIX/libexec] - --datadir=DIR read-only architecture-independent data [PREFIX/share] - --sysconfdir=DIR read-only single-machine data [PREFIX/etc] - --sharedstatedir=DIR modifiable architecture-independent data [PREFIX/com] - --localstatedir=DIR modifiable single-machine data [PREFIX/var] - --libdir=DIR object code libraries [EPREFIX/lib] - --includedir=DIR C header files [PREFIX/include] - --oldincludedir=DIR C header files for non-gcc [/usr/include] - --infodir=DIR info documentation [PREFIX/info] - --mandir=DIR man documentation [PREFIX/man] + --bindir=DIR user executables [EPREFIX/bin] + --sbindir=DIR system admin executables [EPREFIX/sbin] + --libexecdir=DIR program executables [EPREFIX/libexec] + --sysconfdir=DIR read-only single-machine data [PREFIX/etc] + --sharedstatedir=DIR modifiable architecture-independent data [PREFIX/com] + --localstatedir=DIR modifiable single-machine data [PREFIX/var] + --libdir=DIR object code libraries [EPREFIX/lib] + --includedir=DIR C header files [PREFIX/include] + --oldincludedir=DIR C header files for non-gcc [/usr/include] + --datarootdir=DIR read-only arch.-independent data root [PREFIX/share] + --datadir=DIR read-only architecture-independent data [DATAROOTDIR] + --infodir=DIR info documentation [DATAROOTDIR/info] + --localedir=DIR locale-dependent data [DATAROOTDIR/locale] + --mandir=DIR man documentation [DATAROOTDIR/man] + --docdir=DIR documentation root [DATAROOTDIR/doc/PACKAGE] + --htmldir=DIR html documentation [DOCDIR] + --dvidir=DIR dvi documentation [DOCDIR] + --pdfdir=DIR pdf documentation [DOCDIR] + --psdir=DIR ps documentation [DOCDIR] _ACEOF cat <<\_ACEOF @@ -838,6 +1385,7 @@ if test -n "$ac_init_help"; then cat <<\_ACEOF Optional Features: + --disable-option-checking ignore unrecognized --enable/--with options --disable-FEATURE do not include FEATURE (same as --enable-FEATURE=no) --enable-FEATURE[=ARG] include FEATURE [ARG=yes] --enable-threads build with threads (default: on) @@ -859,167 +1407,391 @@ Some influential environment variables: CFLAGS C compiler flags LDFLAGS linker flags, e.g. -L if you have libraries in a nonstandard directory - CPPFLAGS C/C++ preprocessor flags, e.g. -I if you have - headers in a nonstandard directory + LIBS libraries to pass to the linker, e.g. -l + CPPFLAGS (Objective) C/C++ preprocessor flags, e.g. -I if + you have headers in a nonstandard directory CPP C preprocessor Use these variables to override the choices made by `configure' or to help it to find libraries and programs with nonstandard names/locations. +Report bugs to the package provider. _ACEOF +ac_status=$? fi if test "$ac_init_help" = "recursive"; then # If there are subdirs, report their specific --help. - ac_popdir=`pwd` for ac_dir in : $ac_subdirs_all; do test "x$ac_dir" = x: && continue - test -d $ac_dir || continue + test -d "$ac_dir" || + { cd "$srcdir" && ac_pwd=`pwd` && srcdir=. && test -d "$ac_dir"; } || + continue ac_builddir=. -if test "$ac_dir" != .; then - ac_dir_suffix=/`echo "$ac_dir" | sed 's,^\.[\\/],,'` - # A "../" for each directory in $ac_dir_suffix. - ac_top_builddir=`echo "$ac_dir_suffix" | sed 's,/[^\\/]*,../,g'` -else - ac_dir_suffix= ac_top_builddir= -fi +case "$ac_dir" in +.) ac_dir_suffix= ac_top_builddir_sub=. ac_top_build_prefix= ;; +*) + ac_dir_suffix=/`$as_echo "$ac_dir" | sed 's|^\.[\\/]||'` + # A ".." for each directory in $ac_dir_suffix. + ac_top_builddir_sub=`$as_echo "$ac_dir_suffix" | sed 's|/[^\\/]*|/..|g;s|/||'` + case $ac_top_builddir_sub in + "") ac_top_builddir_sub=. ac_top_build_prefix= ;; + *) ac_top_build_prefix=$ac_top_builddir_sub/ ;; + esac ;; +esac +ac_abs_top_builddir=$ac_pwd +ac_abs_builddir=$ac_pwd$ac_dir_suffix +# for backward compatibility: +ac_top_builddir=$ac_top_build_prefix case $srcdir in - .) # No --srcdir option. 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Invocation command line was - $ $0 $@ +## ------------------------ ## +## Autoconf initialization. ## +## ------------------------ ## -_ACEOF +# ac_fn_c_try_compile LINENO +# -------------------------- +# Try to compile conftest.$ac_ext, and return whether this succeeded. +ac_fn_c_try_compile () { -cat <<_ASUNAME -## --------- ## -## Platform. ## -## --------- ## + as_lineno=${as_lineno-"$1"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + rm -f conftest.$ac_objext + if { { ac_try="$ac_compile" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_compile") 2>conftest.err + ac_status=$? + if test -s conftest.err; then + grep -v '^ *+' conftest.err >conftest.er1 + cat conftest.er1 >&5 + mv -f conftest.er1 conftest.err + fi + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } && { + test -z "$ac_c_werror_flag" || + test ! -s conftest.err + } && test -s conftest.$ac_objext; then : + ac_retval=0 +else + $as_echo "$as_me: failed program was:" >&5 +sed 's/^/| /' conftest.$ac_ext >&5 -hostname = `(hostname || uname -n) 2>/dev/null | sed 1q` -uname -m = `(uname -m) 2>/dev/null || echo unknown` -uname -r = `(uname -r) 2>/dev/null || echo unknown` -uname -s = `(uname -s) 2>/dev/null || echo unknown` -uname -v = `(uname -v) 2>/dev/null || echo unknown` + ac_retval=1 +fi + eval $as_lineno_stack; ${as_lineno_stack:+:} unset as_lineno + as_fn_set_status $ac_retval -/usr/bin/uname -p = `(/usr/bin/uname -p) 2>/dev/null || echo unknown` -/bin/uname -X = `(/bin/uname -X) 2>/dev/null || echo unknown` +} # ac_fn_c_try_compile -/bin/arch = `(/bin/arch) 2>/dev/null || echo unknown` -/usr/bin/arch -k = `(/usr/bin/arch -k) 2>/dev/null || echo unknown` -/usr/convex/getsysinfo = `(/usr/convex/getsysinfo) 2>/dev/null || echo unknown` -hostinfo = `(hostinfo) 2>/dev/null || echo unknown` -/bin/machine = `(/bin/machine) 2>/dev/null || echo unknown` -/usr/bin/oslevel = `(/usr/bin/oslevel) 2>/dev/null || echo unknown` -/bin/universe = `(/bin/universe) 2>/dev/null || echo unknown` +# ac_fn_c_try_cpp LINENO +# ---------------------- +# Try to preprocess conftest.$ac_ext, and return whether this succeeded. +ac_fn_c_try_cpp () +{ + as_lineno=${as_lineno-"$1"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + if { { ac_try="$ac_cpp conftest.$ac_ext" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_cpp conftest.$ac_ext") 2>conftest.err + ac_status=$? + if test -s conftest.err; then + grep -v '^ *+' conftest.err >conftest.er1 + cat conftest.er1 >&5 + mv -f conftest.er1 conftest.err + fi + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } > conftest.i && { + test -z "$ac_c_preproc_warn_flag$ac_c_werror_flag" || + test ! -s conftest.err + }; then : + ac_retval=0 +else + $as_echo "$as_me: failed program was:" >&5 +sed 's/^/| /' conftest.$ac_ext >&5 -_ASUNAME + ac_retval=1 +fi + eval $as_lineno_stack; ${as_lineno_stack:+:} unset as_lineno + as_fn_set_status $ac_retval -as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in $PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - echo "PATH: $as_dir" -done +} # ac_fn_c_try_cpp -} >&5 +# ac_fn_c_try_run LINENO +# ---------------------- +# Try to link conftest.$ac_ext, and return whether this succeeded. Assumes +# that executables *can* be run. +ac_fn_c_try_run () +{ + as_lineno=${as_lineno-"$1"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + if { { ac_try="$ac_link" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_link") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } && { ac_try='./conftest$ac_exeext' + { { case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_try") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; }; then : + ac_retval=0 +else + $as_echo "$as_me: program exited with status $ac_status" >&5 + $as_echo "$as_me: failed program was:" >&5 +sed 's/^/| /' conftest.$ac_ext >&5 -cat >&5 <<_ACEOF + ac_retval=$ac_status +fi + rm -rf conftest.dSYM conftest_ipa8_conftest.oo + eval $as_lineno_stack; ${as_lineno_stack:+:} unset as_lineno + as_fn_set_status $ac_retval +} # ac_fn_c_try_run -## ----------- ## -## Core tests. ## -## ----------- ## +# ac_fn_c_check_decl LINENO SYMBOL VAR INCLUDES +# --------------------------------------------- +# Tests whether SYMBOL is declared in INCLUDES, setting cache variable VAR +# accordingly. +ac_fn_c_check_decl () +{ + as_lineno=${as_lineno-"$1"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + as_decl_name=`echo $2|sed 's/ *(.*//'` + as_decl_use=`echo $2|sed -e 's/(/((/' -e 's/)/) 0&/' -e 's/,/) 0& (/g'` + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether $as_decl_name is declared" >&5 +$as_echo_n "checking whether $as_decl_name is declared... " >&6; } +if eval \${$3+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +$4 +int +main () +{ +#ifndef $as_decl_name +#ifdef __cplusplus + (void) $as_decl_use; +#else + (void) $as_decl_name; +#endif +#endif + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + eval "$3=yes" +else + eval "$3=no" +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +eval ac_res=\$$3 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_res" >&5 +$as_echo "$ac_res" >&6; } + eval $as_lineno_stack; ${as_lineno_stack:+:} unset as_lineno + +} # ac_fn_c_check_decl + +# ac_fn_c_check_header_compile LINENO HEADER VAR INCLUDES +# ------------------------------------------------------- +# Tests whether HEADER exists and can be compiled using the include files in +# INCLUDES, setting the cache variable VAR accordingly. +ac_fn_c_check_header_compile () +{ + as_lineno=${as_lineno-"$1"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $2" >&5 +$as_echo_n "checking for $2... " >&6; } +if eval \${$3+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +$4 +#include <$2> +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + eval "$3=yes" +else + eval "$3=no" +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +eval ac_res=\$$3 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_res" >&5 +$as_echo "$ac_res" >&6; } + eval $as_lineno_stack; ${as_lineno_stack:+:} unset as_lineno + +} # ac_fn_c_check_header_compile + +# ac_fn_c_check_type LINENO TYPE VAR INCLUDES +# ------------------------------------------- +# Tests whether TYPE exists after having included INCLUDES, setting cache +# variable VAR accordingly. +ac_fn_c_check_type () +{ + as_lineno=${as_lineno-"$1"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for $2" >&5 +$as_echo_n "checking for $2... " >&6; } +if eval \${$3+:} false; then : + $as_echo_n "(cached) " >&6 +else + eval "$3=no" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +$4 +int +main () +{ +if (sizeof ($2)) + return 0; + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +$4 +int +main () +{ +if (sizeof (($2))) + return 0; + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + +else + eval "$3=yes" +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +eval ac_res=\$$3 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_res" >&5 +$as_echo "$ac_res" >&6; } + eval $as_lineno_stack; ${as_lineno_stack:+:} unset as_lineno + +} # ac_fn_c_check_type +cat >config.log <<_ACEOF +This file contains any messages produced by compilers while +running configure, to aid debugging if configure makes a mistake. + +It was created by $as_me, which was +generated by GNU Autoconf 2.69. Invocation command line was + + $ $0 $@ + +_ACEOF +exec 5>>config.log +{ +cat <<_ASUNAME +## --------- ## +## Platform. ## +## --------- ## + +hostname = `(hostname || uname -n) 2>/dev/null | sed 1q` +uname -m = `(uname -m) 2>/dev/null || echo unknown` +uname -r = `(uname -r) 2>/dev/null || echo unknown` +uname -s = `(uname -s) 2>/dev/null || echo unknown` +uname -v = `(uname -v) 2>/dev/null || echo unknown` + +/usr/bin/uname -p = `(/usr/bin/uname -p) 2>/dev/null || echo unknown` +/bin/uname -X = `(/bin/uname -X) 2>/dev/null || echo unknown` + +/bin/arch = `(/bin/arch) 2>/dev/null || echo unknown` +/usr/bin/arch -k = `(/usr/bin/arch -k) 2>/dev/null || echo unknown` +/usr/convex/getsysinfo = `(/usr/convex/getsysinfo) 2>/dev/null || echo unknown` +/usr/bin/hostinfo = `(/usr/bin/hostinfo) 2>/dev/null || echo unknown` +/bin/machine = `(/bin/machine) 2>/dev/null || echo unknown` +/usr/bin/oslevel = `(/usr/bin/oslevel) 2>/dev/null || echo unknown` +/bin/universe = `(/bin/universe) 2>/dev/null || echo unknown` + +_ASUNAME + +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + $as_echo "PATH: $as_dir" + done +IFS=$as_save_IFS + +} >&5 + +cat >&5 <<_ACEOF + + +## ----------- ## +## Core tests. ## +## ----------- ## _ACEOF @@ -1032,7 +1804,6 @@ _ACEOF ac_configure_args= ac_configure_args0= ac_configure_args1= -ac_sep= ac_must_keep_next=false for ac_pass in 1 2 do @@ -1043,13 +1814,13 @@ do -q | -quiet | --quiet | --quie | --qui | --qu | --q \ | -silent | --silent | --silen | --sile | --sil) continue ;; - *" "*|*" "*|*[\[\]\~\#\$\^\&\*\(\)\{\}\\\|\;\<\>\?\"\']*) - ac_arg=`echo "$ac_arg" | sed "s/'/'\\\\\\\\''/g"` ;; + *\'*) + ac_arg=`$as_echo "$ac_arg" | sed "s/'/'\\\\\\\\''/g"` ;; esac case $ac_pass in - 1) ac_configure_args0="$ac_configure_args0 '$ac_arg'" ;; + 1) as_fn_append ac_configure_args0 " '$ac_arg'" ;; 2) - ac_configure_args1="$ac_configure_args1 '$ac_arg'" + as_fn_append ac_configure_args1 " '$ac_arg'" if test $ac_must_keep_next = true; then ac_must_keep_next=false # Got value, back to normal. else @@ -1065,104 +1836,115 @@ do -* ) ac_must_keep_next=true ;; esac fi - ac_configure_args="$ac_configure_args$ac_sep'$ac_arg'" - # Get rid of the leading space. - ac_sep=" " + as_fn_append ac_configure_args " '$ac_arg'" ;; esac done done -$as_unset ac_configure_args0 || test "${ac_configure_args0+set}" != set || { ac_configure_args0=; export ac_configure_args0; } -$as_unset ac_configure_args1 || test "${ac_configure_args1+set}" != set || { ac_configure_args1=; export ac_configure_args1; } +{ ac_configure_args0=; unset ac_configure_args0;} +{ ac_configure_args1=; unset ac_configure_args1;} # When interrupted or exit'd, cleanup temporary files, and complete # config.log. We remove comments because anyway the quotes in there # would cause problems or look ugly. -# WARNING: Be sure not to use single quotes in there, as some shells, -# such as our DU 5.0 friend, will then `close' the trap. +# WARNING: Use '\'' to represent an apostrophe within the trap. +# WARNING: Do not start the trap code with a newline, due to a FreeBSD 4.0 bug. trap 'exit_status=$? # Save into config.log some information that might help in debugging. { echo - cat <<\_ASBOX -## ---------------- ## + $as_echo "## ---------------- ## ## Cache variables. ## -## ---------------- ## -_ASBOX +## ---------------- ##" echo # The following way of writing the cache mishandles newlines in values, -{ +( + for ac_var in `(set) 2>&1 | sed -n '\''s/^\([a-zA-Z_][a-zA-Z0-9_]*\)=.*/\1/p'\''`; do + eval ac_val=\$$ac_var + case $ac_val in #( + *${as_nl}*) + case $ac_var in #( + *_cv_*) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: cache variable $ac_var contains a newline" >&5 +$as_echo "$as_me: WARNING: cache variable $ac_var contains a newline" >&2;} ;; + esac + case $ac_var in #( + _ | IFS | as_nl) ;; #( + BASH_ARGV | BASH_SOURCE) eval $ac_var= ;; #( + *) { eval $ac_var=; unset $ac_var;} ;; + esac ;; + esac + done (set) 2>&1 | - case `(ac_space='"'"' '"'"'; set | grep ac_space) 2>&1` in - *ac_space=\ *) + case $as_nl`(ac_space='\'' '\''; set) 2>&1` in #( + *${as_nl}ac_space=\ *) sed -n \ - "s/'"'"'/'"'"'\\\\'"'"''"'"'/g; - s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1='"'"'\\2'"'"'/p" - ;; + "s/'\''/'\''\\\\'\'''\''/g; + s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1='\''\\2'\''/p" + ;; #( *) - sed -n \ - "s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1=\\2/p" + sed -n "/^[_$as_cr_alnum]*_cv_[_$as_cr_alnum]*=/p" ;; - esac; -} + esac | + sort +) echo - cat <<\_ASBOX -## ----------------- ## + $as_echo "## ----------------- ## ## Output variables. ## -## ----------------- ## -_ASBOX +## ----------------- ##" echo for ac_var in $ac_subst_vars do - eval ac_val=$`echo $ac_var` - echo "$ac_var='"'"'$ac_val'"'"'" + eval ac_val=\$$ac_var + case $ac_val in + *\'\''*) ac_val=`$as_echo "$ac_val" | sed "s/'\''/'\''\\\\\\\\'\'''\''/g"`;; + esac + $as_echo "$ac_var='\''$ac_val'\''" done | sort echo if test -n "$ac_subst_files"; then - cat <<\_ASBOX -## ------------- ## -## Output files. ## -## ------------- ## -_ASBOX + $as_echo "## ------------------- ## +## File substitutions. ## +## ------------------- ##" echo for ac_var in $ac_subst_files do - eval ac_val=$`echo $ac_var` - echo "$ac_var='"'"'$ac_val'"'"'" + eval ac_val=\$$ac_var + case $ac_val in + *\'\''*) ac_val=`$as_echo "$ac_val" | sed "s/'\''/'\''\\\\\\\\'\'''\''/g"`;; + esac + $as_echo "$ac_var='\''$ac_val'\''" done | sort echo fi if test -s confdefs.h; then - cat <<\_ASBOX -## ----------- ## + $as_echo "## ----------- ## ## confdefs.h. ## -## ----------- ## -_ASBOX +## ----------- ##" echo - sed "/^$/d" confdefs.h | sort + cat confdefs.h echo fi test "$ac_signal" != 0 && - echo "$as_me: caught signal $ac_signal" - echo "$as_me: exit $exit_status" + $as_echo "$as_me: caught signal $ac_signal" + $as_echo "$as_me: exit $exit_status" } >&5 - rm -f core *.core && - rm -rf conftest* confdefs* conf$$* $ac_clean_files && + rm -f core *.core core.conftest.* && + rm -f -r conftest* confdefs* conf$$* $ac_clean_files && exit $exit_status - ' 0 +' 0 for ac_signal in 1 2 13 15; do - trap 'ac_signal='$ac_signal'; { (exit 1); exit 1; }' $ac_signal + trap 'ac_signal='$ac_signal'; as_fn_exit 1' $ac_signal done ac_signal=0 # confdefs.h avoids OS command line length limits that DEFS can exceed. -rm -rf conftest* confdefs.h -# AIX cpp loses on an empty file, so make sure it contains at least a newline. -echo >confdefs.h +rm -f -r conftest* confdefs.h + +$as_echo "/* confdefs.h */" > confdefs.h # Predefined preprocessor variables. @@ -1170,112 +1952,137 @@ cat >>confdefs.h <<_ACEOF #define PACKAGE_NAME "$PACKAGE_NAME" _ACEOF - cat >>confdefs.h <<_ACEOF #define PACKAGE_TARNAME "$PACKAGE_TARNAME" _ACEOF - cat >>confdefs.h <<_ACEOF #define PACKAGE_VERSION "$PACKAGE_VERSION" _ACEOF - cat >>confdefs.h <<_ACEOF #define PACKAGE_STRING "$PACKAGE_STRING" _ACEOF - cat >>confdefs.h <<_ACEOF #define PACKAGE_BUGREPORT "$PACKAGE_BUGREPORT" _ACEOF +cat >>confdefs.h <<_ACEOF +#define PACKAGE_URL "$PACKAGE_URL" +_ACEOF + # Let the site file select an alternate cache file if it wants to. -# Prefer explicitly selected file to automatically selected ones. -if test -z "$CONFIG_SITE"; then - if test "x$prefix" != xNONE; then - CONFIG_SITE="$prefix/share/config.site $prefix/etc/config.site" - else - CONFIG_SITE="$ac_default_prefix/share/config.site $ac_default_prefix/etc/config.site" - fi +# Prefer an explicitly selected file to automatically selected ones. +ac_site_file1=NONE +ac_site_file2=NONE +if test -n "$CONFIG_SITE"; then + # We do not want a PATH search for config.site. + case $CONFIG_SITE in #(( + -*) ac_site_file1=./$CONFIG_SITE;; + */*) ac_site_file1=$CONFIG_SITE;; + *) ac_site_file1=./$CONFIG_SITE;; + esac +elif test "x$prefix" != xNONE; then + ac_site_file1=$prefix/share/config.site + ac_site_file2=$prefix/etc/config.site +else + ac_site_file1=$ac_default_prefix/share/config.site + ac_site_file2=$ac_default_prefix/etc/config.site fi -for ac_site_file in $CONFIG_SITE; do - if test -r "$ac_site_file"; then - { echo "$as_me:$LINENO: loading site script $ac_site_file" >&5 -echo "$as_me: loading site script $ac_site_file" >&6;} +for ac_site_file in "$ac_site_file1" "$ac_site_file2" +do + test "x$ac_site_file" = xNONE && continue + if test /dev/null != "$ac_site_file" && test -r "$ac_site_file"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: loading site script $ac_site_file" >&5 +$as_echo "$as_me: loading site script $ac_site_file" >&6;} sed 's/^/| /' "$ac_site_file" >&5 - . "$ac_site_file" + . "$ac_site_file" \ + || { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "failed to load site script $ac_site_file +See \`config.log' for more details" "$LINENO" 5; } fi done if test -r "$cache_file"; then - # Some versions of bash will fail to source /dev/null (special - # files actually), so we avoid doing that. - if test -f "$cache_file"; then - { echo "$as_me:$LINENO: loading cache $cache_file" >&5 -echo "$as_me: loading cache $cache_file" >&6;} + # Some versions of bash will fail to source /dev/null (special files + # actually), so we avoid doing that. DJGPP emulates it as a regular file. + if test /dev/null != "$cache_file" && test -f "$cache_file"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: loading cache $cache_file" >&5 +$as_echo "$as_me: loading cache $cache_file" >&6;} case $cache_file in - [\\/]* | ?:[\\/]* ) . $cache_file;; - *) . ./$cache_file;; + [\\/]* | ?:[\\/]* ) . "$cache_file";; + *) . "./$cache_file";; esac fi else - { echo "$as_me:$LINENO: creating cache $cache_file" >&5 -echo "$as_me: creating cache $cache_file" >&6;} + { $as_echo "$as_me:${as_lineno-$LINENO}: creating cache $cache_file" >&5 +$as_echo "$as_me: creating cache $cache_file" >&6;} >$cache_file fi # Check that the precious variables saved in the cache have kept the same # value. ac_cache_corrupted=false -for ac_var in `(set) 2>&1 | - sed -n 's/^ac_env_\([a-zA-Z_0-9]*\)_set=.*/\1/p'`; do +for ac_var in $ac_precious_vars; do eval ac_old_set=\$ac_cv_env_${ac_var}_set eval ac_new_set=\$ac_env_${ac_var}_set - eval ac_old_val="\$ac_cv_env_${ac_var}_value" - eval ac_new_val="\$ac_env_${ac_var}_value" + eval ac_old_val=\$ac_cv_env_${ac_var}_value + eval ac_new_val=\$ac_env_${ac_var}_value case $ac_old_set,$ac_new_set in set,) - { echo "$as_me:$LINENO: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&5 -echo "$as_me: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&5 +$as_echo "$as_me: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&2;} ac_cache_corrupted=: ;; ,set) - { echo "$as_me:$LINENO: error: \`$ac_var' was not set in the previous run" >&5 -echo "$as_me: error: \`$ac_var' was not set in the previous run" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: error: \`$ac_var' was not set in the previous run" >&5 +$as_echo "$as_me: error: \`$ac_var' was not set in the previous run" >&2;} ac_cache_corrupted=: ;; ,);; *) if test "x$ac_old_val" != "x$ac_new_val"; then - { echo "$as_me:$LINENO: error: \`$ac_var' has changed since the previous run:" >&5 -echo "$as_me: error: \`$ac_var' has changed since the previous run:" >&2;} - { echo "$as_me:$LINENO: former value: $ac_old_val" >&5 -echo "$as_me: former value: $ac_old_val" >&2;} - { echo "$as_me:$LINENO: current value: $ac_new_val" >&5 -echo "$as_me: current value: $ac_new_val" >&2;} - ac_cache_corrupted=: + # differences in whitespace do not lead to failure. + ac_old_val_w=`echo x $ac_old_val` + ac_new_val_w=`echo x $ac_new_val` + if test "$ac_old_val_w" != "$ac_new_val_w"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: error: \`$ac_var' has changed since the previous run:" >&5 +$as_echo "$as_me: error: \`$ac_var' has changed since the previous run:" >&2;} + ac_cache_corrupted=: + else + { $as_echo "$as_me:${as_lineno-$LINENO}: warning: ignoring whitespace changes in \`$ac_var' since the previous run:" >&5 +$as_echo "$as_me: warning: ignoring whitespace changes in \`$ac_var' since the previous run:" >&2;} + eval $ac_var=\$ac_old_val + fi + { $as_echo "$as_me:${as_lineno-$LINENO}: former value: \`$ac_old_val'" >&5 +$as_echo "$as_me: former value: \`$ac_old_val'" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: current value: \`$ac_new_val'" >&5 +$as_echo "$as_me: current value: \`$ac_new_val'" >&2;} fi;; esac # Pass precious variables to config.status. if test "$ac_new_set" = set; then case $ac_new_val in - *" "*|*" "*|*[\[\]\~\#\$\^\&\*\(\)\{\}\\\|\;\<\>\?\"\']*) - ac_arg=$ac_var=`echo "$ac_new_val" | sed "s/'/'\\\\\\\\''/g"` ;; + *\'*) ac_arg=$ac_var=`$as_echo "$ac_new_val" | sed "s/'/'\\\\\\\\''/g"` ;; *) ac_arg=$ac_var=$ac_new_val ;; esac case " $ac_configure_args " in *" '$ac_arg' "*) ;; # Avoid dups. Use of quotes ensures accuracy. - *) ac_configure_args="$ac_configure_args '$ac_arg'" ;; + *) as_fn_append ac_configure_args " '$ac_arg'" ;; esac fi done if $ac_cache_corrupted; then - { echo "$as_me:$LINENO: error: changes in the environment can compromise the build" >&5 -echo "$as_me: error: changes in the environment can compromise the build" >&2;} - { { echo "$as_me:$LINENO: error: run \`make distclean' and/or \`rm $cache_file' and start over" >&5 -echo "$as_me: error: run \`make distclean' and/or \`rm $cache_file' and start over" >&2;} - { (exit 1); exit 1; }; } + { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: error: changes in the environment can compromise the build" >&5 +$as_echo "$as_me: error: changes in the environment can compromise the build" >&2;} + as_fn_error $? "run \`make distclean' and/or \`rm $cache_file' and start over" "$LINENO" 5 fi +## -------------------- ## +## Main body of script. ## +## -------------------- ## ac_ext=c ac_cpp='$CPP $CPPFLAGS' @@ -1286,32 +2093,15 @@ ac_compiler_gnu=$ac_cv_c_compiler_gnu - - - - - - - - - - - - - - - - - # The following define is needed when building with Cygwin since newer # versions of autoconf incorrectly set SHELL to /bin/bash instead of # /bin/sh. The bash shell seems to suffer from some strange failures. SHELL=/bin/sh -TCL_VERSION=8.6 +TCL_VERSION=8.7 TCL_MAJOR_VERSION=8 -TCL_MINOR_VERSION=6 -TCL_PATCH_LEVEL=".5" +TCL_MINOR_VERSION=7 +TCL_PATCH_LEVEL="a0" VER=$TCL_MAJOR_VERSION$TCL_MINOR_VERSION TCL_DDE_VERSION=1.4 @@ -1362,10 +2152,10 @@ ac_compiler_gnu=$ac_cv_c_compiler_gnu if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}gcc", so it can be a program name with args. set dummy ${ac_tool_prefix}gcc; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_CC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$CC"; then ac_cv_prog_CC="$CC" # Let the user override the test. @@ -1375,35 +2165,37 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_CC="${ac_tool_prefix}gcc" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi CC=$ac_cv_prog_CC if test -n "$CC"; then - echo "$as_me:$LINENO: result: $CC" >&5 -echo "${ECHO_T}$CC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CC" >&5 +$as_echo "$CC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + fi if test -z "$ac_cv_prog_CC"; then ac_ct_CC=$CC # Extract the first word of "gcc", so it can be a program name with args. set dummy gcc; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_ac_ct_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_CC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_CC"; then ac_cv_prog_ac_ct_CC="$ac_ct_CC" # Let the user override the test. @@ -1413,39 +2205,50 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_CC="gcc" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi ac_ct_CC=$ac_cv_prog_ac_ct_CC if test -n "$ac_ct_CC"; then - echo "$as_me:$LINENO: result: $ac_ct_CC" >&5 -echo "${ECHO_T}$ac_ct_CC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_CC" >&5 +$as_echo "$ac_ct_CC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi - CC=$ac_ct_CC + if test "x$ac_ct_CC" = x; then + CC="" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + CC=$ac_ct_CC + fi else CC="$ac_cv_prog_CC" fi if test -z "$CC"; then - if test -n "$ac_tool_prefix"; then - # Extract the first word of "${ac_tool_prefix}cc", so it can be a program name with args. + if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}cc", so it can be a program name with args. set dummy ${ac_tool_prefix}cc; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_CC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$CC"; then ac_cv_prog_CC="$CC" # Let the user override the test. @@ -1455,77 +2258,37 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_CC="${ac_tool_prefix}cc" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi CC=$ac_cv_prog_CC if test -n "$CC"; then - echo "$as_me:$LINENO: result: $CC" >&5 -echo "${ECHO_T}$CC" >&6 -else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 -fi - -fi -if test -z "$ac_cv_prog_CC"; then - ac_ct_CC=$CC - # Extract the first word of "cc", so it can be a program name with args. -set dummy cc; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_ac_ct_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - if test -n "$ac_ct_CC"; then - ac_cv_prog_ac_ct_CC="$ac_ct_CC" # Let the user override the test. -else -as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in $PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then - ac_cv_prog_ac_ct_CC="cc" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 - break 2 - fi -done -done - -fi -fi -ac_ct_CC=$ac_cv_prog_ac_ct_CC -if test -n "$ac_ct_CC"; then - echo "$as_me:$LINENO: result: $ac_ct_CC" >&5 -echo "${ECHO_T}$ac_ct_CC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CC" >&5 +$as_echo "$CC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi - CC=$ac_ct_CC -else - CC="$ac_cv_prog_CC" -fi + fi fi if test -z "$CC"; then # Extract the first word of "cc", so it can be a program name with args. set dummy cc; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_CC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$CC"; then ac_cv_prog_CC="$CC" # Let the user override the test. @@ -1536,18 +2299,19 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then if test "$as_dir/$ac_word$ac_exec_ext" = "/usr/ucb/cc"; then ac_prog_rejected=yes continue fi ac_cv_prog_CC="cc" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS if test $ac_prog_rejected = yes; then # We found a bogon in the path, so make sure we never use it. @@ -1565,24 +2329,25 @@ fi fi CC=$ac_cv_prog_CC if test -n "$CC"; then - echo "$as_me:$LINENO: result: $CC" >&5 -echo "${ECHO_T}$CC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CC" >&5 +$as_echo "$CC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + fi if test -z "$CC"; then if test -n "$ac_tool_prefix"; then - for ac_prog in cl + for ac_prog in cl.exe do # Extract the first word of "$ac_tool_prefix$ac_prog", so it can be a program name with args. set dummy $ac_tool_prefix$ac_prog; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_CC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$CC"; then ac_cv_prog_CC="$CC" # Let the user override the test. @@ -1592,39 +2357,41 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_CC="$ac_tool_prefix$ac_prog" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi CC=$ac_cv_prog_CC if test -n "$CC"; then - echo "$as_me:$LINENO: result: $CC" >&5 -echo "${ECHO_T}$CC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CC" >&5 +$as_echo "$CC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + test -n "$CC" && break done fi if test -z "$CC"; then ac_ct_CC=$CC - for ac_prog in cl + for ac_prog in cl.exe do # Extract the first word of "$ac_prog", so it can be a program name with args. set dummy $ac_prog; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_ac_ct_CC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_CC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_CC"; then ac_cv_prog_ac_ct_CC="$ac_ct_CC" # Let the user override the test. @@ -1634,66 +2401,78 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_CC="$ac_prog" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi ac_ct_CC=$ac_cv_prog_ac_ct_CC if test -n "$ac_ct_CC"; then - echo "$as_me:$LINENO: result: $ac_ct_CC" >&5 -echo "${ECHO_T}$ac_ct_CC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_CC" >&5 +$as_echo "$ac_ct_CC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + test -n "$ac_ct_CC" && break done - CC=$ac_ct_CC + if test "x$ac_ct_CC" = x; then + CC="" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + CC=$ac_ct_CC + fi fi fi -test -z "$CC" && { { echo "$as_me:$LINENO: error: no acceptable C compiler found in \$PATH -See \`config.log' for more details." >&5 -echo "$as_me: error: no acceptable C compiler found in \$PATH -See \`config.log' for more details." >&2;} - { (exit 1); exit 1; }; } +test -z "$CC" && { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "no acceptable C compiler found in \$PATH +See \`config.log' for more details" "$LINENO" 5; } # Provide some information about the compiler. -echo "$as_me:$LINENO:" \ - "checking for C compiler version" >&5 -ac_compiler=`set X $ac_compile; echo $2` -{ (eval echo "$as_me:$LINENO: \"$ac_compiler --version &5\"") >&5 - (eval $ac_compiler --version &5) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } -{ (eval echo "$as_me:$LINENO: \"$ac_compiler -v &5\"") >&5 - (eval $ac_compiler -v &5) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } -{ (eval echo "$as_me:$LINENO: \"$ac_compiler -V &5\"") >&5 - (eval $ac_compiler -V &5) 2>&5 +$as_echo "$as_me:${as_lineno-$LINENO}: checking for C compiler version" >&5 +set X $ac_compile +ac_compiler=$2 +for ac_option in --version -v -V -qversion; do + { { ac_try="$ac_compiler $ac_option >&5" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_compiler $ac_option >&5") 2>conftest.err ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } + if test -s conftest.err; then + sed '10a\ +... rest of stderr output deleted ... + 10q' conftest.err >conftest.er1 + cat conftest.er1 >&5 + fi + rm -f conftest.er1 conftest.err + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } +done -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -1705,112 +2484,108 @@ main () } _ACEOF ac_clean_files_save=$ac_clean_files -ac_clean_files="$ac_clean_files a.out a.exe b.out" +ac_clean_files="$ac_clean_files a.out a.out.dSYM a.exe b.out" # Try to create an executable without -o first, disregard a.out. # It will help us diagnose broken compilers, and finding out an intuition # of exeext. -echo "$as_me:$LINENO: checking for C compiler default output file name" >&5 -echo $ECHO_N "checking for C compiler default output file name... $ECHO_C" >&6 -ac_link_default=`echo "$ac_link" | sed 's/ -o *conftest[^ ]*//'` -if { (eval echo "$as_me:$LINENO: \"$ac_link_default\"") >&5 - (eval $ac_link_default) 2>&5 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether the C compiler works" >&5 +$as_echo_n "checking whether the C compiler works... " >&6; } +ac_link_default=`$as_echo "$ac_link" | sed 's/ -o *conftest[^ ]*//'` + +# The possible output files: +ac_files="a.out conftest.exe conftest a.exe a_out.exe b.out conftest.*" + +ac_rmfiles= +for ac_file in $ac_files +do + case $ac_file in + *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.map | *.inf | *.dSYM | *.o | *.obj ) ;; + * ) ac_rmfiles="$ac_rmfiles $ac_file";; + esac +done +rm -f $ac_rmfiles + +if { { ac_try="$ac_link_default" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_link_default") 2>&5 ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; then - # Find the output, starting from the most likely. This scheme is -# not robust to junk in `.', hence go to wildcards (a.*) only as a last -# resort. - -# Be careful to initialize this variable, since it used to be cached. -# Otherwise an old cache value of `no' led to `EXEEXT = no' in a Makefile. -ac_cv_exeext= -# b.out is created by i960 compilers. -for ac_file in a_out.exe a.exe conftest.exe a.out conftest a.* conftest.* b.out + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then : + # Autoconf-2.13 could set the ac_cv_exeext variable to `no'. +# So ignore a value of `no', otherwise this would lead to `EXEEXT = no' +# in a Makefile. We should not override ac_cv_exeext if it was cached, +# so that the user can short-circuit this test for compilers unknown to +# Autoconf. +for ac_file in $ac_files '' do test -f "$ac_file" || continue case $ac_file in - *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.o | *.obj ) - ;; - conftest.$ac_ext ) - # This is the source file. + *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.map | *.inf | *.dSYM | *.o | *.obj ) ;; [ab].out ) # We found the default executable, but exeext='' is most # certainly right. break;; *.* ) - ac_cv_exeext=`expr "$ac_file" : '[^.]*\(\..*\)'` - # FIXME: I believe we export ac_cv_exeext for Libtool, - # but it would be cool to find out if it's true. Does anybody - # maintain Libtool? --akim. - export ac_cv_exeext + if test "${ac_cv_exeext+set}" = set && test "$ac_cv_exeext" != no; + then :; else + ac_cv_exeext=`expr "$ac_file" : '[^.]*\(\..*\)'` + fi + # We set ac_cv_exeext here because the later test for it is not + # safe: cross compilers may not add the suffix if given an `-o' + # argument, so we may need to know it at that point already. + # Even if this section looks crufty: it has the advantage of + # actually working. break;; * ) break;; esac done +test "$ac_cv_exeext" = no && ac_cv_exeext= + else - echo "$as_me: failed program was:" >&5 + ac_file='' +fi +if test -z "$ac_file"; then : + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } +$as_echo "$as_me: failed program was:" >&5 sed 's/^/| /' conftest.$ac_ext >&5 -{ { echo "$as_me:$LINENO: error: C compiler cannot create executables -See \`config.log' for more details." >&5 -echo "$as_me: error: C compiler cannot create executables -See \`config.log' for more details." >&2;} - { (exit 77); exit 77; }; } +{ { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error 77 "C compiler cannot create executables +See \`config.log' for more details" "$LINENO" 5; } +else + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes" >&5 +$as_echo "yes" >&6; } fi - +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for C compiler default output file name" >&5 +$as_echo_n "checking for C compiler default output file name... " >&6; } +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_file" >&5 +$as_echo "$ac_file" >&6; } ac_exeext=$ac_cv_exeext -echo "$as_me:$LINENO: result: $ac_file" >&5 -echo "${ECHO_T}$ac_file" >&6 - -# Check the compiler produces executables we can run. If not, either -# the compiler is broken, or we cross compile. -echo "$as_me:$LINENO: checking whether the C compiler works" >&5 -echo $ECHO_N "checking whether the C compiler works... $ECHO_C" >&6 -# FIXME: These cross compiler hacks should be removed for Autoconf 3.0 -# If not cross compiling, check that we can run a simple program. -if test "$cross_compiling" != yes; then - if { ac_try='./$ac_file' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - cross_compiling=no - else - if test "$cross_compiling" = maybe; then - cross_compiling=yes - else - { { echo "$as_me:$LINENO: error: cannot run C compiled programs. -If you meant to cross compile, use \`--host'. -See \`config.log' for more details." >&5 -echo "$as_me: error: cannot run C compiled programs. -If you meant to cross compile, use \`--host'. -See \`config.log' for more details." >&2;} - { (exit 1); exit 1; }; } - fi - fi -fi -echo "$as_me:$LINENO: result: yes" >&5 -echo "${ECHO_T}yes" >&6 -rm -f a.out a.exe conftest$ac_cv_exeext b.out +rm -f -r a.out a.out.dSYM a.exe conftest$ac_cv_exeext b.out ac_clean_files=$ac_clean_files_save -# Check the compiler produces executables we can run. If not, either -# the compiler is broken, or we cross compile. -echo "$as_me:$LINENO: checking whether we are cross compiling" >&5 -echo $ECHO_N "checking whether we are cross compiling... $ECHO_C" >&6 -echo "$as_me:$LINENO: result: $cross_compiling" >&5 -echo "${ECHO_T}$cross_compiling" >&6 - -echo "$as_me:$LINENO: checking for suffix of executables" >&5 -echo $ECHO_N "checking for suffix of executables... $ECHO_C" >&6 -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>&5 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for suffix of executables" >&5 +$as_echo_n "checking for suffix of executables... " >&6; } +if { { ac_try="$ac_link" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_link") 2>&5 ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; then + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then : # If both `conftest.exe' and `conftest' are `present' (well, observable) # catch `conftest.exe'. 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"cannot compute suffix of executables: cannot compile and link +See \`config.log' for more details" "$LINENO" 5; } fi - -rm -f conftest$ac_cv_exeext -echo "$as_me:$LINENO: result: $ac_cv_exeext" >&5 -echo "${ECHO_T}$ac_cv_exeext" >&6 +rm -f conftest conftest$ac_cv_exeext +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_exeext" >&5 +$as_echo "$ac_cv_exeext" >&6; } rm -f conftest.$ac_ext EXEEXT=$ac_cv_exeext ac_exeext=$EXEEXT -echo "$as_me:$LINENO: checking for suffix of object files" >&5 -echo $ECHO_N "checking for suffix of object files... $ECHO_C" >&6 -if test "${ac_cv_objext+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ - +#include int main () { +FILE *f = fopen ("conftest.out", "w"); + return ferror (f) || fclose (f) != 0; ; return 0; } _ACEOF -rm -f conftest.o conftest.obj -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>&5 +ac_clean_files="$ac_clean_files conftest.out" +# Check that the compiler produces executables we can run. 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"cannot run C compiled programs. +If you meant to cross compile, use \`--host'. +See \`config.log' for more details" "$LINENO" 5; } + fi + fi +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $cross_compiling" >&5 +$as_echo "$cross_compiling" >&6; } + +rm -f conftest.$ac_ext conftest$ac_cv_exeext conftest.out +ac_clean_files=$ac_clean_files_save +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for suffix of object files" >&5 +$as_echo_n "checking for suffix of object files... " >&6; } +if ${ac_cv_objext+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +rm -f conftest.o conftest.obj +if { { ac_try="$ac_compile" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_compile") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then : + for ac_file in conftest.o conftest.obj conftest.*; do + test -f "$ac_file" || continue; + case $ac_file in + *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.map | *.inf | *.dSYM ) ;; + *) ac_cv_objext=`expr "$ac_file" : '.*\.\(.*\)'` + break;; + esac +done +else + $as_echo "$as_me: failed program was:" >&5 +sed 's/^/| /' conftest.$ac_ext >&5 + +{ { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "cannot compute suffix of object files: cannot compile +See \`config.log' for more details" "$LINENO" 5; } +fi +rm -f conftest.$ac_cv_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_objext" >&5 -echo "${ECHO_T}$ac_cv_objext" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_objext" >&5 +$as_echo "$ac_cv_objext" >&6; } OBJEXT=$ac_cv_objext ac_objext=$OBJEXT -echo "$as_me:$LINENO: checking whether we are using the GNU C compiler" >&5 -echo $ECHO_N "checking whether we are using the GNU C compiler... $ECHO_C" >&6 -if test "${ac_cv_c_compiler_gnu+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether we are using the GNU C compiler" >&5 +$as_echo_n "checking whether we are using the GNU C compiler... " >&6; } +if ${ac_cv_c_compiler_gnu+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -1913,55 +2741,34 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : ac_compiler_gnu=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_compiler_gnu=no + ac_compiler_gnu=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext ac_cv_c_compiler_gnu=$ac_compiler_gnu fi -echo "$as_me:$LINENO: result: $ac_cv_c_compiler_gnu" >&5 -echo "${ECHO_T}$ac_cv_c_compiler_gnu" >&6 -GCC=`test $ac_compiler_gnu = yes && echo yes` +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_c_compiler_gnu" >&5 +$as_echo "$ac_cv_c_compiler_gnu" >&6; } +if test $ac_compiler_gnu = yes; then + GCC=yes +else + GCC= +fi ac_test_CFLAGS=${CFLAGS+set} ac_save_CFLAGS=$CFLAGS -CFLAGS="-g" -echo "$as_me:$LINENO: checking whether $CC accepts -g" >&5 -echo $ECHO_N "checking whether $CC accepts -g... $ECHO_C" >&6 -if test "${ac_cv_prog_cc_g+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether $CC accepts -g" >&5 +$as_echo_n "checking whether $CC accepts -g... " >&6; } +if ${ac_cv_prog_cc_g+:} false; then : + $as_echo_n "(cached) " >&6 +else + ac_save_c_werror_flag=$ac_c_werror_flag + ac_c_werror_flag=yes + ac_cv_prog_cc_g=no + CFLAGS="-g" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -1972,39 +2779,49 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : ac_cv_prog_cc_g=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 + CFLAGS="" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : -ac_cv_prog_cc_g=no +else + ac_c_werror_flag=$ac_save_c_werror_flag + CFLAGS="-g" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_prog_cc_g=yes fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_prog_cc_g" >&5 -echo "${ECHO_T}$ac_cv_prog_cc_g" >&6 +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + ac_c_werror_flag=$ac_save_c_werror_flag +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_prog_cc_g" >&5 +$as_echo "$ac_cv_prog_cc_g" >&6; } if test "$ac_test_CFLAGS" = set; then CFLAGS=$ac_save_CFLAGS elif test $ac_cv_prog_cc_g = yes; then @@ -2020,23 +2837,18 @@ else CFLAGS= fi fi -echo "$as_me:$LINENO: checking for $CC option to accept ANSI C" >&5 -echo $ECHO_N "checking for $CC option to accept ANSI C... $ECHO_C" >&6 -if test "${ac_cv_prog_cc_stdc+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $CC option to accept ISO C89" >&5 +$as_echo_n "checking for $CC option to accept ISO C89... " >&6; } +if ${ac_cv_prog_cc_c89+:} false; then : + $as_echo_n "(cached) " >&6 else - ac_cv_prog_cc_stdc=no + ac_cv_prog_cc_c89=no ac_save_CC=$CC -cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include #include -#include -#include +struct stat; /* Most of the following tests are stolen from RCS 5.7's src/conf.sh. */ struct buf { int x; }; FILE * (*rcsopen) (struct buf *, struct stat *, int); @@ -2059,12 +2871,17 @@ static char *f (char * (*g) (char **, int), char **p, ...) /* OSF 4.0 Compaq cc is some sort of almost-ANSI by default. It has function prototypes and stuff, but not '\xHH' hex character constants. These don't provoke an error unfortunately, instead are silently treated - as 'x'. The following induces an error, until -std1 is added to get + as 'x'. The following induces an error, until -std is added to get proper ANSI mode. Curiously '\x00'!='x' always comes out true, for an array size at least. It's necessary to write '\x00'==0 to get something - that's true only with -std1. */ + that's true only with -std. */ int osf4_cc_array ['\x00' == 0 ? 1 : -1]; +/* IBM C 6 for AIX is almost-ANSI by default, but it replaces macro parameters + inside strings and character constants. */ +#define FOO(x) 'x' +int xlc6_cc_array[FOO(a) == 'x' ? 1 : -1]; + int test (int i, double x); struct s1 {int (*f) (int a);}; struct s2 {int (*f) (double a);}; @@ -2079,205 +2896,37 @@ return f (e, argv, 0) != argv[0] || f (e, argv, 1) != argv[1]; return 0; } _ACEOF -# Don't try gcc -ansi; that turns off useful extensions and -# breaks some systems' header files. -# AIX -qlanglvl=ansi -# Ultrix and OSF/1 -std1 -# HP-UX 10.20 and later -Ae -# HP-UX older versions -Aa -D_HPUX_SOURCE -# SVR4 -Xc -D__EXTENSIONS__ -for ac_arg in "" -qlanglvl=ansi -std1 -Ae "-Aa -D_HPUX_SOURCE" "-Xc -D__EXTENSIONS__" +for ac_arg in '' -qlanglvl=extc89 -qlanglvl=ansi -std \ + -Ae "-Aa -D_HPUX_SOURCE" "-Xc -D__EXTENSIONS__" do CC="$ac_save_CC $ac_arg" - rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_prog_cc_stdc=$ac_arg -break -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - + if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_prog_cc_c89=$ac_arg fi -rm -f conftest.err conftest.$ac_objext +rm -f core conftest.err conftest.$ac_objext + test "x$ac_cv_prog_cc_c89" != "xno" && break done -rm -f conftest.$ac_ext conftest.$ac_objext +rm -f conftest.$ac_ext CC=$ac_save_CC fi - -case "x$ac_cv_prog_cc_stdc" in - x|xno) - echo "$as_me:$LINENO: result: none needed" >&5 -echo "${ECHO_T}none needed" >&6 ;; +# AC_CACHE_VAL +case "x$ac_cv_prog_cc_c89" in + x) + { $as_echo "$as_me:${as_lineno-$LINENO}: result: none needed" >&5 +$as_echo "none needed" >&6; } ;; + xno) + { $as_echo "$as_me:${as_lineno-$LINENO}: result: unsupported" >&5 +$as_echo "unsupported" >&6; } ;; *) - echo "$as_me:$LINENO: result: $ac_cv_prog_cc_stdc" >&5 -echo "${ECHO_T}$ac_cv_prog_cc_stdc" >&6 - CC="$CC $ac_cv_prog_cc_stdc" ;; + CC="$CC $ac_cv_prog_cc_c89" + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_prog_cc_c89" >&5 +$as_echo "$ac_cv_prog_cc_c89" >&6; } ;; esac - -# Some people use a C++ compiler to compile C. Since we use `exit', -# in C++ we need to declare it. In case someone uses the same compiler -# for both compiling C and C++ we need to have the C++ compiler decide -# the declaration of exit, since it's the most demanding environment. -cat >conftest.$ac_ext <<_ACEOF -#ifndef __cplusplus - choke me -#endif -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - for ac_declaration in \ - '' \ - 'extern "C" void std::exit (int) throw (); using std::exit;' \ - 'extern "C" void std::exit (int); using std::exit;' \ - 'extern "C" void exit (int) throw ();' \ - 'extern "C" void exit (int);' \ - 'void exit (int);' -do - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_declaration -#include -int -main () -{ -exit (42); - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - : -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -continue -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_declaration -int -main () -{ -exit (42); - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - break -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 +if test "x$ac_cv_prog_cc_c89" != xno; then : fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -done -rm -f conftest* -if test -n "$ac_declaration"; then - echo '#ifdef __cplusplus' >>confdefs.h - echo $ac_declaration >>confdefs.h - echo '#endif' >>confdefs.h -fi - -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext ac_ext=c ac_cpp='$CPP $CPPFLAGS' ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' @@ -2285,18 +2934,14 @@ ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $ ac_compiler_gnu=$ac_cv_c_compiler_gnu -echo "$as_me:$LINENO: checking for inline" >&5 -echo $ECHO_N "checking for inline... $ECHO_C" >&6 -if test "${ac_cv_c_inline+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for inline" >&5 +$as_echo_n "checking for inline... " >&6; } +if ${ac_cv_c_inline+:} false; then : + $as_echo_n "(cached) " >&6 else ac_cv_c_inline=no for ac_kw in inline __inline__ __inline; do - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifndef __cplusplus typedef int foo_t; @@ -2305,41 +2950,16 @@ $ac_kw foo_t foo () {return 0; } #endif _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_c_inline=$ac_kw; break -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - +if ac_fn_c_try_compile "$LINENO"; then : + ac_cv_c_inline=$ac_kw fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + test "$ac_cv_c_inline" != no && break done fi -echo "$as_me:$LINENO: result: $ac_cv_c_inline" >&5 -echo "${ECHO_T}$ac_cv_c_inline" >&6 - +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_c_inline" >&5 +$as_echo "$ac_cv_c_inline" >&6; } case $ac_cv_c_inline in inline | yes) ;; @@ -2361,15 +2981,15 @@ ac_cpp='$CPP $CPPFLAGS' ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' ac_compiler_gnu=$ac_cv_c_compiler_gnu -echo "$as_me:$LINENO: checking how to run the C preprocessor" >&5 -echo $ECHO_N "checking how to run the C preprocessor... $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking how to run the C preprocessor" >&5 +$as_echo_n "checking how to run the C preprocessor... " >&6; } # On Suns, sometimes $CPP names a directory. if test -n "$CPP" && test -d "$CPP"; then CPP= fi if test -z "$CPP"; then - if test "${ac_cv_prog_CPP+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + if ${ac_cv_prog_CPP+:} false; then : + $as_echo_n "(cached) " >&6 else # Double quotes because CPP needs to be expanded for CPP in "$CC -E" "$CC -E -traditional-cpp" "/lib/cpp" @@ -2383,11 +3003,7 @@ do # exists even on freestanding compilers. # On the NeXT, cc -E runs the code through the compiler's parser, # not just through cpp. "Syntax error" is here to catch this case. - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifdef __STDC__ # include @@ -2396,78 +3012,34 @@ cat >>conftest.$ac_ext <<_ACEOF #endif Syntax error _ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then - : -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 +if ac_fn_c_try_cpp "$LINENO"; then : +else # Broken: fails on valid input. continue fi -rm -f conftest.err conftest.$ac_ext +rm -f conftest.err conftest.i conftest.$ac_ext - # OK, works on sane cases. Now check whether non-existent headers + # OK, works on sane cases. Now check whether nonexistent headers # can be detected and how. - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include _ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then +if ac_fn_c_try_cpp "$LINENO"; then : # Broken: success on invalid input. continue else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - # Passes both tests. ac_preproc_ok=: break fi -rm -f conftest.err conftest.$ac_ext +rm -f conftest.err conftest.i conftest.$ac_ext done # Because of `break', _AC_PREPROC_IFELSE's cleaning code was skipped. -rm -f conftest.err conftest.$ac_ext -if $ac_preproc_ok; then +rm -f conftest.i conftest.err conftest.$ac_ext +if $ac_preproc_ok; then : break fi @@ -2479,8 +3051,8 @@ fi else ac_cv_prog_CPP=$CPP fi -echo "$as_me:$LINENO: result: $CPP" >&5 -echo "${ECHO_T}$CPP" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $CPP" >&5 +$as_echo "$CPP" >&6; } ac_preproc_ok=false for ac_c_preproc_warn_flag in '' yes do @@ -2490,11 +3062,7 @@ do # exists even on freestanding compilers. # On the NeXT, cc -E runs the code through the compiler's parser, # not just through cpp. "Syntax error" is here to catch this case. - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifdef __STDC__ # include @@ -2503,85 +3071,40 @@ cat >>conftest.$ac_ext <<_ACEOF #endif Syntax error _ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then - : -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 +if ac_fn_c_try_cpp "$LINENO"; then : +else # Broken: fails on valid input. continue fi -rm -f conftest.err conftest.$ac_ext +rm -f conftest.err conftest.i conftest.$ac_ext - # OK, works on sane cases. Now check whether non-existent headers + # OK, works on sane cases. Now check whether nonexistent headers # can be detected and how. - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include _ACEOF -if { (eval echo "$as_me:$LINENO: \"$ac_cpp conftest.$ac_ext\"") >&5 - (eval $ac_cpp conftest.$ac_ext) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } >/dev/null; then - if test -s conftest.err; then - ac_cpp_err=$ac_c_preproc_warn_flag - ac_cpp_err=$ac_cpp_err$ac_c_werror_flag - else - ac_cpp_err= - fi -else - ac_cpp_err=yes -fi -if test -z "$ac_cpp_err"; then +if ac_fn_c_try_cpp "$LINENO"; then : # Broken: success on invalid input. continue else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - # Passes both tests. ac_preproc_ok=: break fi -rm -f conftest.err conftest.$ac_ext +rm -f conftest.err conftest.i conftest.$ac_ext done # Because of `break', _AC_PREPROC_IFELSE's cleaning code was skipped. -rm -f conftest.err conftest.$ac_ext -if $ac_preproc_ok; then - : +rm -f conftest.i conftest.err conftest.$ac_ext +if $ac_preproc_ok; then : + else - { { echo "$as_me:$LINENO: error: C preprocessor \"$CPP\" fails sanity check -See \`config.log' for more details." >&5 -echo "$as_me: error: C preprocessor \"$CPP\" fails sanity check -See \`config.log' for more details." >&2;} - { (exit 1); exit 1; }; } + { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "C preprocessor \"$CPP\" fails sanity check +See \`config.log' for more details" "$LINENO" 5; } fi ac_ext=c @@ -2591,31 +3114,142 @@ ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $ ac_compiler_gnu=$ac_cv_c_compiler_gnu -echo "$as_me:$LINENO: checking for egrep" >&5 -echo $ECHO_N "checking for egrep... $ECHO_C" >&6 -if test "${ac_cv_prog_egrep+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for grep that handles long lines and -e" >&5 +$as_echo_n "checking for grep that handles long lines and -e... " >&6; } +if ${ac_cv_path_GREP+:} false; then : + $as_echo_n "(cached) " >&6 else - if echo a | (grep -E '(a|b)') >/dev/null 2>&1 - then ac_cv_prog_egrep='grep -E' - else ac_cv_prog_egrep='egrep' + if test -z "$GREP"; then + ac_path_GREP_found=false + # Loop through the user's path and test for each of PROGNAME-LIST + as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH$PATH_SEPARATOR/usr/xpg4/bin +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_prog in grep ggrep; do + for ac_exec_ext in '' $ac_executable_extensions; do + ac_path_GREP="$as_dir/$ac_prog$ac_exec_ext" + as_fn_executable_p "$ac_path_GREP" || continue +# Check for GNU ac_path_GREP and select it if it is found. + # Check for GNU $ac_path_GREP +case `"$ac_path_GREP" --version 2>&1` in +*GNU*) + ac_cv_path_GREP="$ac_path_GREP" ac_path_GREP_found=:;; +*) + ac_count=0 + $as_echo_n 0123456789 >"conftest.in" + while : + do + cat "conftest.in" "conftest.in" >"conftest.tmp" + mv "conftest.tmp" "conftest.in" + cp "conftest.in" "conftest.nl" + $as_echo 'GREP' >> "conftest.nl" + "$ac_path_GREP" -e 'GREP$' -e '-(cannot match)-' < "conftest.nl" >"conftest.out" 2>/dev/null || break + diff "conftest.out" "conftest.nl" >/dev/null 2>&1 || break + as_fn_arith $ac_count + 1 && ac_count=$as_val + if test $ac_count -gt ${ac_path_GREP_max-0}; then + # Best one so far, save it but keep looking for a better one + ac_cv_path_GREP="$ac_path_GREP" + ac_path_GREP_max=$ac_count fi + # 10*(2^10) chars as input seems more than enough + test $ac_count -gt 10 && break + done + rm -f conftest.in conftest.tmp conftest.nl conftest.out;; +esac + + $ac_path_GREP_found && break 3 + done + done + done +IFS=$as_save_IFS + if test -z "$ac_cv_path_GREP"; then + as_fn_error $? "no acceptable grep could be found in $PATH$PATH_SEPARATOR/usr/xpg4/bin" "$LINENO" 5 + fi +else + ac_cv_path_GREP=$GREP fi -echo "$as_me:$LINENO: result: $ac_cv_prog_egrep" >&5 -echo "${ECHO_T}$ac_cv_prog_egrep" >&6 - EGREP=$ac_cv_prog_egrep + +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_path_GREP" >&5 +$as_echo "$ac_cv_path_GREP" >&6; } + GREP="$ac_cv_path_GREP" -echo "$as_me:$LINENO: checking for ANSI C header files" >&5 -echo $ECHO_N "checking for ANSI C header files... $ECHO_C" >&6 -if test "${ac_cv_header_stdc+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for egrep" >&5 +$as_echo_n "checking for egrep... " >&6; } +if ${ac_cv_path_EGREP+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + if echo a | $GREP -E '(a|b)' >/dev/null 2>&1 + then ac_cv_path_EGREP="$GREP -E" + else + if test -z "$EGREP"; then + ac_path_EGREP_found=false + # Loop through the user's path and test for each of PROGNAME-LIST + as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH$PATH_SEPARATOR/usr/xpg4/bin +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_prog in egrep; do + for ac_exec_ext in '' $ac_executable_extensions; do + ac_path_EGREP="$as_dir/$ac_prog$ac_exec_ext" + as_fn_executable_p "$ac_path_EGREP" || continue +# Check for GNU ac_path_EGREP and select it if it is found. + # Check for GNU $ac_path_EGREP +case `"$ac_path_EGREP" --version 2>&1` in +*GNU*) + ac_cv_path_EGREP="$ac_path_EGREP" ac_path_EGREP_found=:;; +*) + ac_count=0 + $as_echo_n 0123456789 >"conftest.in" + while : + do + cat "conftest.in" "conftest.in" >"conftest.tmp" + mv "conftest.tmp" "conftest.in" + cp "conftest.in" "conftest.nl" + $as_echo 'EGREP' >> "conftest.nl" + "$ac_path_EGREP" 'EGREP$' < "conftest.nl" >"conftest.out" 2>/dev/null || break + diff "conftest.out" "conftest.nl" >/dev/null 2>&1 || break + as_fn_arith $ac_count + 1 && ac_count=$as_val + if test $ac_count -gt ${ac_path_EGREP_max-0}; then + # Best one so far, save it but keep looking for a better one + ac_cv_path_EGREP="$ac_path_EGREP" + ac_path_EGREP_max=$ac_count + fi + # 10*(2^10) chars as input seems more than enough + test $ac_count -gt 10 && break + done + rm -f conftest.in conftest.tmp conftest.nl conftest.out;; +esac + + $ac_path_EGREP_found && break 3 + done + done + done +IFS=$as_save_IFS + if test -z "$ac_cv_path_EGREP"; then + as_fn_error $? "no acceptable egrep could be found in $PATH$PATH_SEPARATOR/usr/xpg4/bin" "$LINENO" 5 + fi +else + ac_cv_path_EGREP=$EGREP +fi + + fi +fi +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_path_EGREP" >&5 +$as_echo "$ac_cv_path_EGREP" >&6; } + EGREP="$ac_cv_path_EGREP" + + +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for ANSI C header files" >&5 +$as_echo_n "checking for ANSI C header files... " >&6; } +if ${ac_cv_header_stdc+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include #include @@ -2630,51 +3264,23 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : ac_cv_header_stdc=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_header_stdc=no + ac_cv_header_stdc=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext if test $ac_cv_header_stdc = yes; then # SunOS 4.x string.h does not declare mem*, contrary to ANSI. - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include _ACEOF if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | - $EGREP "memchr" >/dev/null 2>&1; then - : + $EGREP "memchr" >/dev/null 2>&1; then : + else ac_cv_header_stdc=no fi @@ -2684,18 +3290,14 @@ fi if test $ac_cv_header_stdc = yes; then # ISC 2.0.2 stdlib.h does not declare free, contrary to ANSI. - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include _ACEOF if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | - $EGREP "free" >/dev/null 2>&1; then - : + $EGREP "free" >/dev/null 2>&1; then : + else ac_cv_header_stdc=no fi @@ -2705,16 +3307,13 @@ fi if test $ac_cv_header_stdc = yes; then # /bin/cc in Irix-4.0.5 gets non-ANSI ctype macros unless using -ansi. - if test "$cross_compiling" = yes; then + if test "$cross_compiling" = yes; then : : else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include +#include #if ((' ' & 0x0FF) == 0x020) # define ISLOWER(c) ('a' <= (c) && (c) <= 'z') # define TOUPPER(c) (ISLOWER(c) ? 'A' + ((c) - 'a') : (c)) @@ -2734,41 +3333,26 @@ main () for (i = 0; i < 256; i++) if (XOR (islower (i), ISLOWER (i)) || toupper (i) != TOUPPER (i)) - exit(2); - exit (0); + return 2; + return 0; } _ACEOF -rm -f conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && { ac_try='./conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - : -else - echo "$as_me: program exited with status $ac_status" >&5 -echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 +if ac_fn_c_try_run "$LINENO"; then : -( exit $ac_status ) -ac_cv_header_stdc=no +else + ac_cv_header_stdc=no fi -rm -f core *.core gmon.out bb.out conftest$ac_exeext conftest.$ac_objext conftest.$ac_ext +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext fi + fi fi -echo "$as_me:$LINENO: result: $ac_cv_header_stdc" >&5 -echo "${ECHO_T}$ac_cv_header_stdc" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_header_stdc" >&5 +$as_echo "$ac_cv_header_stdc" >&6; } if test $ac_cv_header_stdc = yes; then -cat >>confdefs.h <<\_ACEOF -#define STDC_HEADERS 1 -_ACEOF +$as_echo "#define STDC_HEADERS 1" >>confdefs.h fi @@ -2776,10 +3360,10 @@ fi if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}ar", so it can be a program name with args. set dummy ${ac_tool_prefix}ar; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_AR+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_AR+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$AR"; then ac_cv_prog_AR="$AR" # Let the user override the test. @@ -2789,35 +3373,37 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_AR="${ac_tool_prefix}ar" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi AR=$ac_cv_prog_AR if test -n "$AR"; then - echo "$as_me:$LINENO: result: $AR" >&5 -echo "${ECHO_T}$AR" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $AR" >&5 +$as_echo "$AR" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + fi if test -z "$ac_cv_prog_AR"; then ac_ct_AR=$AR # Extract the first word of "ar", so it can be a program name with args. set dummy ar; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_ac_ct_AR+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_AR+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_AR"; then ac_cv_prog_ac_ct_AR="$ac_ct_AR" # Let the user override the test. @@ -2827,27 +3413,38 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_AR="ar" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi ac_ct_AR=$ac_cv_prog_ac_ct_AR if test -n "$ac_ct_AR"; then - echo "$as_me:$LINENO: result: $ac_ct_AR" >&5 -echo "${ECHO_T}$ac_ct_AR" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_AR" >&5 +$as_echo "$ac_ct_AR" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi - AR=$ac_ct_AR + if test "x$ac_ct_AR" = x; then + AR="" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + AR=$ac_ct_AR + fi else AR="$ac_cv_prog_AR" fi @@ -2855,10 +3452,10 @@ fi if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}ranlib", so it can be a program name with args. set dummy ${ac_tool_prefix}ranlib; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_RANLIB+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_RANLIB+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$RANLIB"; then ac_cv_prog_RANLIB="$RANLIB" # Let the user override the test. @@ -2868,35 +3465,37 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_RANLIB="${ac_tool_prefix}ranlib" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi RANLIB=$ac_cv_prog_RANLIB if test -n "$RANLIB"; then - echo "$as_me:$LINENO: result: $RANLIB" >&5 -echo "${ECHO_T}$RANLIB" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $RANLIB" >&5 +$as_echo "$RANLIB" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + fi if test -z "$ac_cv_prog_RANLIB"; then ac_ct_RANLIB=$RANLIB # Extract the first word of "ranlib", so it can be a program name with args. set dummy ranlib; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_ac_ct_RANLIB+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_RANLIB+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_RANLIB"; then ac_cv_prog_ac_ct_RANLIB="$ac_ct_RANLIB" # Let the user override the test. @@ -2906,27 +3505,38 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_RANLIB="ranlib" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi ac_ct_RANLIB=$ac_cv_prog_ac_ct_RANLIB if test -n "$ac_ct_RANLIB"; then - echo "$as_me:$LINENO: result: $ac_ct_RANLIB" >&5 -echo "${ECHO_T}$ac_ct_RANLIB" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_RANLIB" >&5 +$as_echo "$ac_ct_RANLIB" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi - RANLIB=$ac_ct_RANLIB + if test "x$ac_ct_RANLIB" = x; then + RANLIB="" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + RANLIB=$ac_ct_RANLIB + fi else RANLIB="$ac_cv_prog_RANLIB" fi @@ -2934,10 +3544,10 @@ fi if test -n "$ac_tool_prefix"; then # Extract the first word of "${ac_tool_prefix}windres", so it can be a program name with args. set dummy ${ac_tool_prefix}windres; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_RC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_RC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$RC"; then ac_cv_prog_RC="$RC" # Let the user override the test. @@ -2947,35 +3557,37 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_RC="${ac_tool_prefix}windres" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi RC=$ac_cv_prog_RC if test -n "$RC"; then - echo "$as_me:$LINENO: result: $RC" >&5 -echo "${ECHO_T}$RC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $RC" >&5 +$as_echo "$RC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + fi if test -z "$ac_cv_prog_RC"; then ac_ct_RC=$RC # Extract the first word of "windres", so it can be a program name with args. set dummy windres; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_ac_ct_RC+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_RC+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$ac_ct_RC"; then ac_cv_prog_ac_ct_RC="$ac_ct_RC" # Let the user override the test. @@ -2985,27 +3597,38 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_ac_ct_RC="windres" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS fi fi ac_ct_RC=$ac_cv_prog_ac_ct_RC if test -n "$ac_ct_RC"; then - echo "$as_me:$LINENO: result: $ac_ct_RC" >&5 -echo "${ECHO_T}$ac_ct_RC" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_ct_RC" >&5 +$as_echo "$ac_ct_RC" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi - RC=$ac_ct_RC + if test "x$ac_ct_RC" = x; then + RC="" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + RC=$ac_ct_RC + fi else RC="$ac_cv_prog_RC" fi @@ -3015,32 +3638,34 @@ fi # Checks to see if the make program sets the $MAKE variable. #-------------------------------------------------------------------- -echo "$as_me:$LINENO: checking whether ${MAKE-make} sets \$(MAKE)" >&5 -echo $ECHO_N "checking whether ${MAKE-make} sets \$(MAKE)... $ECHO_C" >&6 -set dummy ${MAKE-make}; ac_make=`echo "$2" | sed 'y,:./+-,___p_,'` -if eval "test \"\${ac_cv_prog_make_${ac_make}_set+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking whether ${MAKE-make} sets \$(MAKE)" >&5 +$as_echo_n "checking whether ${MAKE-make} sets \$(MAKE)... " >&6; } +set x ${MAKE-make} +ac_make=`$as_echo "$2" | sed 's/+/p/g; s/[^a-zA-Z0-9_]/_/g'` +if eval \${ac_cv_prog_make_${ac_make}_set+:} false; then : + $as_echo_n "(cached) " >&6 else cat >conftest.make <<\_ACEOF +SHELL = /bin/sh all: - @echo 'ac_maketemp="$(MAKE)"' + @echo '@@@%%%=$(MAKE)=@@@%%%' _ACEOF -# GNU make sometimes prints "make[1]: Entering...", which would confuse us. -eval `${MAKE-make} -f conftest.make 2>/dev/null | grep temp=` -if test -n "$ac_maketemp"; then - eval ac_cv_prog_make_${ac_make}_set=yes -else - eval ac_cv_prog_make_${ac_make}_set=no -fi +# GNU make sometimes prints "make[1]: Entering ...", which would confuse us. +case `${MAKE-make} -f conftest.make 2>/dev/null` in + *@@@%%%=?*=@@@%%%*) + eval ac_cv_prog_make_${ac_make}_set=yes;; + *) + eval ac_cv_prog_make_${ac_make}_set=no;; +esac rm -f conftest.make fi -if eval "test \"`echo '$ac_cv_prog_make_'${ac_make}_set`\" = yes"; then - echo "$as_me:$LINENO: result: yes" >&5 -echo "${ECHO_T}yes" >&6 +if eval test \$ac_cv_prog_make_${ac_make}_set = yes; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes" >&5 +$as_echo "yes" >&6; } SET_MAKE= else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } SET_MAKE="MAKE=${MAKE-make}" fi @@ -3057,34 +3682,30 @@ fi #-------------------------------------------------------------------- - echo "$as_me:$LINENO: checking for building with threads" >&5 -echo $ECHO_N "checking for building with threads... $ECHO_C" >&6 - # Check whether --enable-threads or --disable-threads was given. -if test "${enable_threads+set}" = set; then - enableval="$enable_threads" - tcl_ok=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for building with threads" >&5 +$as_echo_n "checking for building with threads... " >&6; } + # Check whether --enable-threads was given. +if test "${enable_threads+set}" = set; then : + enableval=$enable_threads; tcl_ok=$enableval else tcl_ok=yes -fi; +fi + if test "$tcl_ok" = "yes"; then - echo "$as_me:$LINENO: result: yes (default)" >&5 -echo "${ECHO_T}yes (default)" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes (default)" >&5 +$as_echo "yes (default)" >&6; } TCL_THREADS=1 - cat >>confdefs.h <<\_ACEOF -#define TCL_THREADS 1 -_ACEOF + $as_echo "#define TCL_THREADS 1" >>confdefs.h # USE_THREAD_ALLOC tells us to try the special thread-based # allocator that significantly reduces lock contention - cat >>confdefs.h <<\_ACEOF -#define USE_THREAD_ALLOC 1 -_ACEOF + $as_echo "#define USE_THREAD_ALLOC 1" >>confdefs.h else TCL_THREADS=0 - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi @@ -3095,11 +3716,11 @@ echo "${ECHO_T}no" >&6 -# Check whether --with-encoding or --without-encoding was given. -if test "${with_encoding+set}" = set; then - withval="$with_encoding" - with_tcencoding=${withval} -fi; +# Check whether --with-encoding was given. +if test "${with_encoding+set}" = set; then : + withval=$with_encoding; with_tcencoding=${withval} +fi + if test x"${with_tcencoding}" != x ; then cat >>confdefs.h <<_ACEOF @@ -3108,9 +3729,7 @@ _ACEOF else # Default encoding on windows is not "iso8859-1" - cat >>confdefs.h <<\_ACEOF -#define TCL_CFGVAL_ENCODING "cp1252" -_ACEOF + $as_echo "#define TCL_CFGVAL_ENCODING \"cp1252\"" >>confdefs.h fi @@ -3121,15 +3740,15 @@ _ACEOF #-------------------------------------------------------------------- - echo "$as_me:$LINENO: checking how to build libraries" >&5 -echo $ECHO_N "checking how to build libraries... $ECHO_C" >&6 - # Check whether --enable-shared or --disable-shared was given. -if test "${enable_shared+set}" = set; then - enableval="$enable_shared" - tcl_ok=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking how to build libraries" >&5 +$as_echo_n "checking how to build libraries... " >&6; } + # Check whether --enable-shared was given. +if test "${enable_shared+set}" = set; then : + enableval=$enable_shared; tcl_ok=$enableval else tcl_ok=yes -fi; +fi + if test "${enable_shared+set}" = set; then enableval="$enable_shared" @@ -3139,17 +3758,15 @@ fi; fi if test "$tcl_ok" = "yes" ; then - echo "$as_me:$LINENO: result: shared" >&5 -echo "${ECHO_T}shared" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: shared" >&5 +$as_echo "shared" >&6; } SHARED_BUILD=1 else - echo "$as_me:$LINENO: result: static" >&5 -echo "${ECHO_T}static" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: static" >&5 +$as_echo "static" >&6; } SHARED_BUILD=0 -cat >>confdefs.h <<\_ACEOF -#define STATIC_BUILD 1 -_ACEOF +$as_echo "#define STATIC_BUILD 1" >>confdefs.h fi @@ -3161,70 +3778,15 @@ _ACEOF #-------------------------------------------------------------------- # On IRIX 5.3, sys/types and inttypes.h are conflicting. - - - - - - - - - for ac_header in sys/types.h sys/stat.h stdlib.h string.h memory.h strings.h \ inttypes.h stdint.h unistd.h -do -as_ac_Header=`echo "ac_cv_header_$ac_header" | $as_tr_sh` -echo "$as_me:$LINENO: checking for $ac_header" >&5 -echo $ECHO_N "checking for $ac_header... $ECHO_C" >&6 -if eval "test \"\${$as_ac_Header+set}\" = set"; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default - -#include <$ac_header> -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - eval "$as_ac_Header=yes" -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -eval "$as_ac_Header=no" -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: `eval echo '${'$as_ac_Header'}'`" >&5 -echo "${ECHO_T}`eval echo '${'$as_ac_Header'}'`" >&6 -if test `eval echo '${'$as_ac_Header'}'` = yes; then +do : + as_ac_Header=`$as_echo "ac_cv_header_$ac_header" | $as_tr_sh` +ac_fn_c_check_header_compile "$LINENO" "$ac_header" "$as_ac_Header" "$ac_includes_default +" +if eval test \"x\$"$as_ac_Header"\" = x"yes"; then : cat >>confdefs.h <<_ACEOF -#define `echo "HAVE_$ac_header" | $as_tr_cpp` 1 +#define `$as_echo "HAVE_$ac_header" | $as_tr_cpp` 1 _ACEOF fi @@ -3236,59 +3798,57 @@ done # Step 0: Enable 64 bit support? - echo "$as_me:$LINENO: checking if 64bit support is requested" >&5 -echo $ECHO_N "checking if 64bit support is requested... $ECHO_C" >&6 - # Check whether --enable-64bit or --disable-64bit was given. -if test "${enable_64bit+set}" = set; then - enableval="$enable_64bit" - do64bit=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if 64bit support is requested" >&5 +$as_echo_n "checking if 64bit support is requested... " >&6; } + # Check whether --enable-64bit was given. +if test "${enable_64bit+set}" = set; then : + enableval=$enable_64bit; do64bit=$enableval else do64bit=no -fi; - echo "$as_me:$LINENO: result: $do64bit" >&5 -echo "${ECHO_T}$do64bit" >&6 +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $do64bit" >&5 +$as_echo "$do64bit" >&6; } # Cross-compiling options for Windows/CE builds - echo "$as_me:$LINENO: checking if Windows/CE build is requested" >&5 -echo $ECHO_N "checking if Windows/CE build is requested... $ECHO_C" >&6 - # Check whether --enable-wince or --disable-wince was given. -if test "${enable_wince+set}" = set; then - enableval="$enable_wince" - doWince=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking if Windows/CE build is requested" >&5 +$as_echo_n "checking if Windows/CE build is requested... " >&6; } + # Check whether --enable-wince was given. +if test "${enable_wince+set}" = set; then : + enableval=$enable_wince; doWince=$enableval else doWince=no -fi; - echo "$as_me:$LINENO: result: $doWince" >&5 -echo "${ECHO_T}$doWince" >&6 +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $doWince" >&5 +$as_echo "$doWince" >&6; } - echo "$as_me:$LINENO: checking for Windows/CE celib directory" >&5 -echo $ECHO_N "checking for Windows/CE celib directory... $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for Windows/CE celib directory" >&5 +$as_echo_n "checking for Windows/CE celib directory... " >&6; } -# Check whether --with-celib or --without-celib was given. -if test "${with_celib+set}" = set; then - withval="$with_celib" - CELIB_DIR=$withval +# Check whether --with-celib was given. +if test "${with_celib+set}" = set; then : + withval=$with_celib; CELIB_DIR=$withval else CELIB_DIR=NO_CELIB -fi; - echo "$as_me:$LINENO: result: $CELIB_DIR" >&5 -echo "${ECHO_T}$CELIB_DIR" >&6 +fi + + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CELIB_DIR" >&5 +$as_echo "$CELIB_DIR" >&6; } # Set some defaults (may get changed below) EXTRA_CFLAGS="" -cat >>confdefs.h <<\_ACEOF -#define MODULE_SCOPE extern -_ACEOF +$as_echo "#define MODULE_SCOPE extern" >>confdefs.h # Extract the first word of "cygpath", so it can be a program name with args. set dummy cygpath; ac_word=$2 -echo "$as_me:$LINENO: checking for $ac_word" >&5 -echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6 -if test "${ac_cv_prog_CYGPATH+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_CYGPATH+:} false; then : + $as_echo_n "(cached) " >&6 else if test -n "$CYGPATH"; then ac_cv_prog_CYGPATH="$CYGPATH" # Let the user override the test. @@ -3298,28 +3858,30 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - for ac_exec_ext in '' $ac_executable_extensions; do - if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then + for ac_exec_ext in '' $ac_executable_extensions; do + if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then ac_cv_prog_CYGPATH="cygpath -m" - echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5 + $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5 break 2 fi done -done + done +IFS=$as_save_IFS test -z "$ac_cv_prog_CYGPATH" && ac_cv_prog_CYGPATH="echo" fi fi CYGPATH=$ac_cv_prog_CYGPATH if test -n "$CYGPATH"; then - echo "$as_me:$LINENO: result: $CYGPATH" >&5 -echo "${ECHO_T}$CYGPATH" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $CYGPATH" >&5 +$as_echo "$CYGPATH" >&6; } else - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } fi + SHLIB_SUFFIX=".dll" # MACHINE is IX86 for LINK, but this is used by the manifest, @@ -3328,16 +3890,12 @@ fi if test "$GCC" = "yes"; then - echo "$as_me:$LINENO: checking for cross-compile version of gcc" >&5 -echo $ECHO_N "checking for cross-compile version of gcc... $ECHO_C" >&6 -if test "${ac_cv_cross+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for cross-compile version of gcc" >&5 +$as_echo_n "checking for cross-compile version of gcc... " >&6; } +if ${ac_cv_cross+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifndef _WIN32 @@ -3352,40 +3910,16 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : ac_cv_cross=no else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_cross=yes + ac_cv_cross=yes fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_cross" >&5 -echo "${ECHO_T}$ac_cv_cross" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_cross" >&5 +$as_echo "$ac_cv_cross" >&6; } if test "$ac_cv_cross" = "yes"; then case "$do64bit" in @@ -3420,20 +3954,20 @@ echo "${ECHO_T}$ac_cv_cross" >&6 echo "101 \"name\"" >> $conftest echo "END" >> $conftest - echo "$as_me:$LINENO: checking for Windows native path bug in windres" >&5 -echo $ECHO_N "checking for Windows native path bug in windres... $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for Windows native path bug in windres" >&5 +$as_echo_n "checking for Windows native path bug in windres... " >&6; } cyg_conftest=`$CYGPATH $conftest` if { ac_try='$RC -o conftest.res.o $cyg_conftest' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 + { { eval echo "\"\$as_me\":${as_lineno-$LINENO}: \"$ac_try\""; } >&5 (eval $ac_try) 2>&5 ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } ; then - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; }; } ; then + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } else - echo "$as_me:$LINENO: result: yes" >&5 -echo "${ECHO_T}yes" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes" >&5 +$as_echo "yes" >&6; } CYGPATH=echo fi conftest= @@ -3451,16 +3985,12 @@ echo "${ECHO_T}yes" >&6 if test "${GCC}" = "yes" ; then extra_cflags="-pipe" extra_ldflags="-pipe -static-libgcc" - echo "$as_me:$LINENO: checking for mingw32 version of gcc" >&5 -echo $ECHO_N "checking for mingw32 version of gcc... $ECHO_C" >&6 -if test "${ac_cv_win32+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for mingw32 version of gcc" >&5 +$as_echo_n "checking for mingw32 version of gcc... " >&6; } +if ${ac_cv_win32+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifdef _WIN32 @@ -3475,57 +4005,73 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : ac_cv_win32=no else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_win32=yes + ac_cv_win32=yes fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_win32" >&5 -echo "${ECHO_T}$ac_cv_win32" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_win32" >&5 +$as_echo "$ac_cv_win32" >&6; } if test "$ac_cv_win32" != "yes"; then - { { echo "$as_me:$LINENO: error: ${CC} cannot produce win32 executables." >&5 -echo "$as_me: error: ${CC} cannot produce win32 executables." >&2;} - { (exit 1); exit 1; }; } + as_fn_error $? "${CC} cannot produce win32 executables." "$LINENO" 5 fi hold_cflags=$CFLAGS; CFLAGS="$CFLAGS -mwindows -municode -Dmain=xxmain" - echo "$as_me:$LINENO: checking for working -municode linker flag" >&5 -echo $ECHO_N "checking for working -municode linker flag... $ECHO_C" >&6 -if test "${ac_cv_municode+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for working -municode linker flag" >&5 +$as_echo_n "checking for working -municode linker flag... " >&6; } +if ${ac_cv_municode+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + +# ac_fn_c_try_link LINENO +# ----------------------- +# Try to link conftest.$ac_ext, and return whether this succeeded. +ac_fn_c_try_link () +{ + as_lineno=${as_lineno-"$1"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + rm -f conftest.$ac_objext conftest$ac_exeext + if { { ac_try="$ac_link" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-$LINENO}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_link") 2>conftest.err + ac_status=$? + if test -s conftest.err; then + grep -v '^ *+' conftest.err >conftest.er1 + cat conftest.er1 >&5 + mv -f conftest.er1 conftest.err + fi + $as_echo "$as_me:${as_lineno-$LINENO}: \$? = $ac_status" >&5 + test $ac_status = 0; } && { + test -z "$ac_c_werror_flag" || + test ! -s conftest.err + } && test -s conftest$ac_exeext && { + test "$cross_compiling" = yes || + test -x conftest$ac_exeext + }; then : + ac_retval=0 +else + $as_echo "$as_me: failed program was:" >&5 +sed 's/^/| /' conftest.$ac_ext >&5 + + ac_retval=1 +fi + # Delete the IPA/IPO (Inter Procedural Analysis/Optimization) information + # created by the PGI compiler (conftest_ipa8_conftest.oo), as it would + # interfere with the next link command; also delete a directory that is + # left behind by Apple's compiler. We do this before executing the actions. + rm -rf conftest.dSYM conftest_ipa8_conftest.oo + eval $as_lineno_stack; ${as_lineno_stack:+:} unset as_lineno + as_fn_set_status $ac_retval + +} # ac_fn_c_try_link +cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include @@ -3539,41 +4085,17 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : ac_cv_municode=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_municode=no + ac_cv_municode=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $ac_cv_municode" >&5 -echo "${ECHO_T}$ac_cv_municode" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_municode" >&5 +$as_echo "$ac_cv_municode" >&6; } CFLAGS=$hold_cflags if test "$ac_cv_municode" = "yes" ; then extra_ldflags="$extra_ldflags -municode" @@ -3582,8 +4104,8 @@ echo "${ECHO_T}$ac_cv_municode" >&6 fi fi - echo "$as_me:$LINENO: checking compiler flags" >&5 -echo $ECHO_N "checking compiler flags... $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking compiler flags" >&5 +$as_echo_n "checking compiler flags... " >&6; } if test "${GCC}" = "yes" ; then SHLIB_LD="" SHLIB_LD_LIBS='${LIBS}' @@ -3604,23 +4126,20 @@ echo $ECHO_N "checking compiler flags... $ECHO_C" >&6 if test "${SHARED_BUILD}" = "0" ; then # static - echo "$as_me:$LINENO: result: using static flags" >&5 -echo "${ECHO_T}using static flags" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: using static flags" >&5 +$as_echo "using static flags" >&6; } runtime= LIBRARIES="\${STATIC_LIBRARIES}" EXESUFFIX="s\${DBGX}.exe" else # dynamic - echo "$as_me:$LINENO: result: using shared flags" >&5 -echo "${ECHO_T}using shared flags" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: using shared flags" >&5 +$as_echo "using shared flags" >&6; } # ad-hoc check to see if CC supports -shared. if "${CC}" -shared 2>&1 | egrep ': -shared not supported' >/dev/null; then - { { echo "$as_me:$LINENO: error: ${CC} does not support the -shared option. - You will need to upgrade to a newer version of the toolchain." >&5 -echo "$as_me: error: ${CC} does not support the -shared option. - You will need to upgrade to a newer version of the toolchain." >&2;} - { (exit 1); exit 1; }; } + as_fn_error $? "${CC} does not support the -shared option. + You will need to upgrade to a newer version of the toolchain." "$LINENO" 5 fi runtime= @@ -3674,20 +4193,16 @@ echo "$as_me: error: ${CC} does not support the -shared option. case "$do64bit" in amd64|x64|yes) MACHINE="AMD64" ; # assume AMD64 as default 64-bit build - echo "$as_me:$LINENO: result: Using 64-bit $MACHINE mode" >&5 -echo "${ECHO_T} Using 64-bit $MACHINE mode" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: Using 64-bit $MACHINE mode" >&5 +$as_echo " Using 64-bit $MACHINE mode" >&6; } ;; ia64) MACHINE="IA64" - echo "$as_me:$LINENO: result: Using 64-bit $MACHINE mode" >&5 -echo "${ECHO_T} Using 64-bit $MACHINE mode" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: Using 64-bit $MACHINE mode" >&5 +$as_echo " Using 64-bit $MACHINE mode" >&6; } ;; *) - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #ifndef _WIN64 @@ -3702,57 +4217,33 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_win_64bit=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_win_64bit=no + tcl_win_64bit=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext if test "$tcl_win_64bit" = "yes" ; then do64bit=amd64 MACHINE="AMD64" - echo "$as_me:$LINENO: result: Using 64-bit $MACHINE mode" >&5 -echo "${ECHO_T} Using 64-bit $MACHINE mode" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: Using 64-bit $MACHINE mode" >&5 +$as_echo " Using 64-bit $MACHINE mode" >&6; } fi ;; esac else if test "${SHARED_BUILD}" = "0" ; then # static - echo "$as_me:$LINENO: result: using static flags" >&5 -echo "${ECHO_T}using static flags" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: using static flags" >&5 +$as_echo "using static flags" >&6; } runtime=-MT LIBRARIES="\${STATIC_LIBRARIES}" EXESUFFIX="s\${DBGX}.exe" else # dynamic - echo "$as_me:$LINENO: result: using shared flags" >&5 -echo "${ECHO_T}using shared flags" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: using shared flags" >&5 +$as_echo "using shared flags" >&6; } runtime=-MD # Add SHLIB_LD_LIBS to the Make rule, not here. LIBRARIES="\${SHARED_LIBRARIES}" @@ -3792,11 +4283,11 @@ echo "${ECHO_T}using shared flags" >&6 ;; esac if test ! -d "${PATH64}" ; then - { echo "$as_me:$LINENO: WARNING: Could not find 64-bit $MACHINE SDK" >&5 -echo "$as_me: WARNING: Could not find 64-bit $MACHINE SDK" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: Could not find 64-bit $MACHINE SDK" >&5 +$as_echo "$as_me: WARNING: Could not find 64-bit $MACHINE SDK" >&2;} fi - echo "$as_me:$LINENO: result: Using 64-bit $MACHINE mode" >&5 -echo "${ECHO_T} Using 64-bit $MACHINE mode" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: Using 64-bit $MACHINE mode" >&5 +$as_echo " Using 64-bit $MACHINE mode" >&6; } fi LIBS="netapi32.lib kernel32.lib user32.lib advapi32.lib userenv.lib ws2_32.lib" @@ -3815,64 +4306,9 @@ echo "${ECHO_T} Using 64-bit $MACHINE mode" >&6 # TEA_PATH_NOSPACE to avoid this issue. # Check if _WIN64 is already recognized, and if so we don't # need to modify CC. - echo "$as_me:$LINENO: checking whether _WIN64 is declared" >&5 -echo $ECHO_N "checking whether _WIN64 is declared... $ECHO_C" >&6 -if test "${ac_cv_have_decl__WIN64+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -int -main () -{ -#ifndef _WIN64 - char *p = (char *) _WIN64; -#endif - - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_have_decl__WIN64=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 + ac_fn_c_check_decl "$LINENO" "_WIN64" "ac_cv_have_decl__WIN64" "$ac_includes_default" +if test "x$ac_cv_have_decl__WIN64" = xyes; then : -ac_cv_have_decl__WIN64=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: $ac_cv_have_decl__WIN64" >&5 -echo "${ECHO_T}$ac_cv_have_decl__WIN64" >&6 -if test $ac_cv_have_decl__WIN64 = yes; then - : else CC="\"${PATH64}/cl.exe\" -I\"${MSSDK}/Include\" \ -I\"${MSSDK}/Include/crt\" \ @@ -3940,15 +4376,11 @@ fi SDKROOT=`echo "$SDKROOT" | sed -e 's!\\\!/!g'` CELIB_DIR=`echo "$CELIB_DIR" | sed -e 's!\\\!/!g'` if test ! -d "${CELIB_DIR}/inc"; then - { { echo "$as_me:$LINENO: error: Invalid celib directory \"${CELIB_DIR}\"" >&5 -echo "$as_me: error: Invalid celib directory \"${CELIB_DIR}\"" >&2;} - { (exit 1); exit 1; }; } + as_fn_error $? "Invalid celib directory \"${CELIB_DIR}\"" "$LINENO" 5 fi if test ! -d "${SDKROOT}/${OSVERSION}/${PLATFORM}/Lib/${TARGETCPU}"\ -o ! -d "${WCEROOT}/EVC/${OSVERSION}/bin"; then - { { echo "$as_me:$LINENO: error: could not find PocketPC SDK or target compiler to enable WinCE mode $CEVERSION,$TARGETCPU,$ARCH,$PLATFORM" >&5 -echo "$as_me: error: could not find PocketPC SDK or target compiler to enable WinCE mode $CEVERSION,$TARGETCPU,$ARCH,$PLATFORM" >&2;} - { (exit 1); exit 1; }; } + as_fn_error $? "could not find PocketPC SDK or target compiler to enable WinCE mode $CEVERSION,$TARGETCPU,$ARCH,$PLATFORM" "$LINENO" 5 else CEINCLUDE="${SDKROOT}/${OSVERSION}/${PLATFORM}/include" if test -d "${CEINCLUDE}/${TARGETCPU}" ; then @@ -4044,26 +4476,20 @@ _ACEOF fi if test "$do64bit" != "no" ; then - cat >>confdefs.h <<\_ACEOF -#define TCL_CFG_DO64BIT 1 -_ACEOF + $as_echo "#define TCL_CFG_DO64BIT 1" >>confdefs.h fi if test "${GCC}" = "yes" ; then - echo "$as_me:$LINENO: checking for SEH support in compiler" >&5 -echo $ECHO_N "checking for SEH support in compiler... $ECHO_C" >&6 -if test "${tcl_cv_seh+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for SEH support in compiler" >&5 +$as_echo_n "checking for SEH support in compiler... " >&6; } +if ${tcl_cv_seh+:} false; then : + $as_echo_n "(cached) " >&6 else - if test "$cross_compiling" = yes; then + if test "$cross_compiling" = yes; then : tcl_cv_seh=no else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #define WIN32_LEAN_AND_MEAN @@ -4082,37 +4508,22 @@ cat >>conftest.$ac_ext <<_ACEOF } _ACEOF -rm -f conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && { ac_try='./conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_run "$LINENO"; then : tcl_cv_seh=yes else - echo "$as_me: program exited with status $ac_status" >&5 -echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -( exit $ac_status ) -tcl_cv_seh=no + tcl_cv_seh=no fi -rm -f core *.core gmon.out bb.out conftest$ac_exeext conftest.$ac_objext conftest.$ac_ext +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext fi + fi -echo "$as_me:$LINENO: result: $tcl_cv_seh" >&5 -echo "${ECHO_T}$tcl_cv_seh" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_seh" >&5 +$as_echo "$tcl_cv_seh" >&6; } if test "$tcl_cv_seh" = "no" ; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_NO_SEH 1 -_ACEOF +$as_echo "#define HAVE_NO_SEH 1" >>confdefs.h fi @@ -4122,16 +4533,12 @@ _ACEOF # with Cygwin's version as of 2002-04-10, define it to be int, # sufficient for getting the current code to work. # - echo "$as_me:$LINENO: checking for EXCEPTION_DISPOSITION support in include files" >&5 -echo $ECHO_N "checking for EXCEPTION_DISPOSITION support in include files... $ECHO_C" >&6 -if test "${tcl_cv_eh_disposition+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for EXCEPTION_DISPOSITION support in include files" >&5 +$as_echo_n "checking for EXCEPTION_DISPOSITION support in include files... " >&6; } +if ${tcl_cv_eh_disposition+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ # define WIN32_LEAN_AND_MEAN @@ -4148,45 +4555,19 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_eh_disposition=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_eh_disposition=no + tcl_cv_eh_disposition=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_eh_disposition" >&5 -echo "${ECHO_T}$tcl_cv_eh_disposition" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_eh_disposition" >&5 +$as_echo "$tcl_cv_eh_disposition" >&6; } if test "$tcl_cv_eh_disposition" = "no" ; then -cat >>confdefs.h <<\_ACEOF -#define EXCEPTION_DISPOSITION int -_ACEOF +$as_echo "#define EXCEPTION_DISPOSITION int" >>confdefs.h fi @@ -4194,16 +4575,12 @@ _ACEOF # even if VOID has already been #defined. The win32api # used by mingw and cygwin is known to do this. - echo "$as_me:$LINENO: checking for winnt.h that ignores VOID define" >&5 -echo $ECHO_N "checking for winnt.h that ignores VOID define... $ECHO_C" >&6 -if test "${tcl_cv_winnt_ignore_void+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for winnt.h that ignores VOID define" >&5 +$as_echo_n "checking for winnt.h that ignores VOID define... " >&6; } +if ${tcl_cv_winnt_ignore_void+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #define VOID void @@ -4223,45 +4600,19 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_winnt_ignore_void=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_winnt_ignore_void=no + tcl_cv_winnt_ignore_void=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_winnt_ignore_void" >&5 -echo "${ECHO_T}$tcl_cv_winnt_ignore_void" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_winnt_ignore_void" >&5 +$as_echo "$tcl_cv_winnt_ignore_void" >&6; } if test "$tcl_cv_winnt_ignore_void" = "yes" ; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_WINNT_IGNORE_VOID 1 -_ACEOF +$as_echo "#define HAVE_WINNT_IGNORE_VOID 1" >>confdefs.h fi @@ -4269,16 +4620,12 @@ _ACEOF # This is used to stop gcc from printing a compiler # warning when initializing a union member. - echo "$as_me:$LINENO: checking for cast to union support" >&5 -echo $ECHO_N "checking for cast to union support... $ECHO_C" >&6 -if test "${tcl_cv_cast_to_union+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for cast to union support" >&5 +$as_echo_n "checking for cast to union support... " >&6; } +if ${tcl_cv_cast_to_union+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ int @@ -4292,45 +4639,19 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_cast_to_union=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_cast_to_union=no + tcl_cv_cast_to_union=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_cast_to_union" >&5 -echo "${ECHO_T}$tcl_cv_cast_to_union" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_cast_to_union" >&5 +$as_echo "$tcl_cv_cast_to_union" >&6; } if test "$tcl_cv_cast_to_union" = "yes"; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_CAST_TO_UNION 1 -_ACEOF +$as_echo "#define HAVE_CAST_TO_UNION 1" >>confdefs.h fi fi @@ -4357,7 +4678,7 @@ esac # as we just assume that the platform hasn't got a usable z.lib #------------------------------------------------------------------------ -if test "${enable_shared+set}" = "set"; then +if test "${enable_shared+set}" = "set"; then : enableval="$enable_shared" tcl_ok=$enableval @@ -4367,14 +4688,13 @@ else tcl_ok=yes fi - -if test "$tcl_ok" = "yes"; then +if test "$tcl_ok" = "yes"; then : ZLIB_DLL_FILE=\${ZLIB_DLL_FILE} - if test "$do64bit" = "yes"; then + if test "$do64bit" = "yes"; then : - if test "$GCC" == "yes"; then + if test "$GCC" == "yes"; then : ZLIB_LIBS=\${ZLIB_DIR_NATIVE}/win64/libz.dll.a @@ -4386,7 +4706,6 @@ else fi - else ZLIB_LIBS=\${ZLIB_DIR_NATIVE}/win32/zdll.lib @@ -4394,7 +4713,6 @@ else fi - else ZLIB_OBJS=\${ZLIB_OBJS} @@ -4402,137 +4720,50 @@ else fi +$as_echo "#define HAVE_ZLIB 1" >>confdefs.h -cat >>confdefs.h <<\_ACEOF -#define HAVE_ZLIB 1 -_ACEOF - - -echo "$as_me:$LINENO: checking for intptr_t" >&5 -echo $ECHO_N "checking for intptr_t... $ECHO_C" >&6 -if test "${ac_cv_type_intptr_t+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -int -main () -{ -if ((intptr_t *) 0) - return 0; -if (sizeof (intptr_t)) - return 0; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_type_intptr_t=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 -ac_cv_type_intptr_t=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: $ac_cv_type_intptr_t" >&5 -echo "${ECHO_T}$ac_cv_type_intptr_t" >&6 -if test $ac_cv_type_intptr_t = yes; then +ac_fn_c_check_type "$LINENO" "intptr_t" "ac_cv_type_intptr_t" "$ac_includes_default" +if test "x$ac_cv_type_intptr_t" = xyes; then : -cat >>confdefs.h <<\_ACEOF -#define HAVE_INTPTR_T 1 -_ACEOF +$as_echo "#define HAVE_INTPTR_T 1" >>confdefs.h else - echo "$as_me:$LINENO: checking for pointer-size signed integer type" >&5 -echo $ECHO_N "checking for pointer-size signed integer type... $ECHO_C" >&6 -if test "${tcl_cv_intptr_t+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for pointer-size signed integer type" >&5 +$as_echo_n "checking for pointer-size signed integer type... " >&6; } +if ${tcl_cv_intptr_t+:} false; then : + $as_echo_n "(cached) " >&6 else for tcl_cv_intptr_t in "int" "long" "long long" none; do if test "$tcl_cv_intptr_t" != none; then - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ $ac_includes_default int main () { static int test_array [1 - 2 * !(sizeof (void *) <= sizeof ($tcl_cv_intptr_t))]; -test_array [0] = 0 +test_array [0] = 0; +return test_array [0]; ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_ok=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_ok=no + tcl_ok=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext test "$tcl_ok" = yes && break; fi done fi -echo "$as_me:$LINENO: result: $tcl_cv_intptr_t" >&5 -echo "${ECHO_T}$tcl_cv_intptr_t" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_intptr_t" >&5 +$as_echo "$tcl_cv_intptr_t" >&6; } if test "$tcl_cv_intptr_t" != none; then cat >>confdefs.h <<_ACEOF @@ -4543,132 +4774,48 @@ _ACEOF fi -echo "$as_me:$LINENO: checking for uintptr_t" >&5 -echo $ECHO_N "checking for uintptr_t... $ECHO_C" >&6 -if test "${ac_cv_type_uintptr_t+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 -else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF -/* end confdefs.h. */ -$ac_includes_default -int -main () -{ -if ((uintptr_t *) 0) - return 0; -if (sizeof (uintptr_t)) - return 0; - ; - return 0; -} -_ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then - ac_cv_type_uintptr_t=yes -else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -ac_cv_type_uintptr_t=no -fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext -fi -echo "$as_me:$LINENO: result: $ac_cv_type_uintptr_t" >&5 -echo "${ECHO_T}$ac_cv_type_uintptr_t" >&6 -if test $ac_cv_type_uintptr_t = yes; then +ac_fn_c_check_type "$LINENO" "uintptr_t" "ac_cv_type_uintptr_t" "$ac_includes_default" +if test "x$ac_cv_type_uintptr_t" = xyes; then : -cat >>confdefs.h <<\_ACEOF -#define HAVE_UINTPTR_T 1 -_ACEOF +$as_echo "#define HAVE_UINTPTR_T 1" >>confdefs.h else - echo "$as_me:$LINENO: checking for pointer-size unsigned integer type" >&5 -echo $ECHO_N "checking for pointer-size unsigned integer type... $ECHO_C" >&6 -if test "${tcl_cv_uintptr_t+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for pointer-size unsigned integer type" >&5 +$as_echo_n "checking for pointer-size unsigned integer type... " >&6; } +if ${tcl_cv_uintptr_t+:} false; then : + $as_echo_n "(cached) " >&6 else for tcl_cv_uintptr_t in "unsigned int" "unsigned long" "unsigned long long" \ none; do if test "$tcl_cv_uintptr_t" != none; then - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ $ac_includes_default int main () { static int test_array [1 - 2 * !(sizeof (void *) <= sizeof ($tcl_cv_uintptr_t))]; -test_array [0] = 0 +test_array [0] = 0; +return test_array [0]; ; return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_ok=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_ok=no + tcl_ok=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext test "$tcl_ok" = yes && break; fi done fi -echo "$as_me:$LINENO: result: $tcl_cv_uintptr_t" >&5 -echo "${ECHO_T}$tcl_cv_uintptr_t" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_uintptr_t" >&5 +$as_echo "$tcl_cv_uintptr_t" >&6; } if test "$tcl_cv_uintptr_t" != none; then cat >>confdefs.h <<_ACEOF @@ -4688,16 +4835,12 @@ fi # missing from winbase.h. This is known to be # a problem with VC++ 5.2. -echo "$as_me:$LINENO: checking for FINDEX_INFO_LEVELS in winbase.h" >&5 -echo $ECHO_N "checking for FINDEX_INFO_LEVELS in winbase.h... $ECHO_C" >&6 -if test "${tcl_cv_findex_enums+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for FINDEX_INFO_LEVELS in winbase.h" >&5 +$as_echo_n "checking for FINDEX_INFO_LEVELS in winbase.h... " >&6; } +if ${tcl_cv_findex_enums+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #define WIN32_LEAN_AND_MEAN @@ -4715,60 +4858,30 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_findex_enums=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_findex_enums=no + tcl_cv_findex_enums=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_findex_enums" >&5 -echo "${ECHO_T}$tcl_cv_findex_enums" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_findex_enums" >&5 +$as_echo "$tcl_cv_findex_enums" >&6; } if test "$tcl_cv_findex_enums" = "no"; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_NO_FINDEX_ENUMS 1 -_ACEOF +$as_echo "#define HAVE_NO_FINDEX_ENUMS 1" >>confdefs.h fi # See if the compiler supports intrinsics. -echo "$as_me:$LINENO: checking for intrinsics support in compiler" >&5 -echo $ECHO_N "checking for intrinsics support in compiler... $ECHO_C" >&6 -if test "${tcl_cv_intrinsics+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for intrinsics support in compiler" >&5 +$as_echo_n "checking for intrinsics support in compiler... " >&6; } +if ${tcl_cv_intrinsics+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #define WIN32_LEAN_AND_MEAN @@ -4786,61 +4899,31 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext conftest$ac_exeext -if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5 - (eval $ac_link) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest$ac_exeext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_link "$LINENO"; then : tcl_cv_intrinsics=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_intrinsics=no + tcl_cv_intrinsics=no fi -rm -f conftest.err conftest.$ac_objext \ - conftest$ac_exeext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_intrinsics" >&5 -echo "${ECHO_T}$tcl_cv_intrinsics" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_intrinsics" >&5 +$as_echo "$tcl_cv_intrinsics" >&6; } if test "$tcl_cv_intrinsics" = "yes"; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_INTRIN_H 1 -_ACEOF +$as_echo "#define HAVE_INTRIN_H 1" >>confdefs.h fi # See if the header file is present -echo "$as_me:$LINENO: checking for wspiapi.h" >&5 -echo $ECHO_N "checking for wspiapi.h... $ECHO_C" >&6 -if test "${tcl_cv_wspiapi_h+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for wspiapi.h" >&5 +$as_echo_n "checking for wspiapi.h... " >&6; } +if ${tcl_cv_wspiapi_h+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #include @@ -4853,45 +4936,19 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_wspiapi_h=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_wspiapi_h=no + tcl_cv_wspiapi_h=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_wspiapi_h" >&5 -echo "${ECHO_T}$tcl_cv_wspiapi_h" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_wspiapi_h" >&5 +$as_echo "$tcl_cv_wspiapi_h" >&6; } if test "$tcl_cv_wspiapi_h" = "yes"; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_WSPIAPI_H 1 -_ACEOF +$as_echo "#define HAVE_WSPIAPI_H 1" >>confdefs.h fi @@ -4899,16 +4956,12 @@ fi # missing from winbase.h. This is known to be # a problem with VC++ 5.2. -echo "$as_me:$LINENO: checking for FINDEX_INFO_LEVELS in winbase.h" >&5 -echo $ECHO_N "checking for FINDEX_INFO_LEVELS in winbase.h... $ECHO_C" >&6 -if test "${tcl_cv_findex_enums+set}" = set; then - echo $ECHO_N "(cached) $ECHO_C" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for FINDEX_INFO_LEVELS in winbase.h" >&5 +$as_echo_n "checking for FINDEX_INFO_LEVELS in winbase.h... " >&6; } +if ${tcl_cv_findex_enums+:} false; then : + $as_echo_n "(cached) " >&6 else - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #define WIN32_LEAN_AND_MEAN @@ -4926,45 +4979,19 @@ main () return 0; } _ACEOF -rm -f conftest.$ac_objext -if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5 - (eval $ac_compile) 2>conftest.er1 - ac_status=$? - grep -v '^ *+' conftest.er1 >conftest.err - rm -f conftest.er1 - cat conftest.err >&5 - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); } && - { ac_try='test -z "$ac_c_werror_flag" - || test ! -s conftest.err' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; } && - { ac_try='test -s conftest.$ac_objext' - { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5 - (eval $ac_try) 2>&5 - ac_status=$? - echo "$as_me:$LINENO: \$? = $ac_status" >&5 - (exit $ac_status); }; }; then +if ac_fn_c_try_compile "$LINENO"; then : tcl_cv_findex_enums=yes else - echo "$as_me: failed program was:" >&5 -sed 's/^/| /' conftest.$ac_ext >&5 - -tcl_cv_findex_enums=no + tcl_cv_findex_enums=no fi -rm -f conftest.err conftest.$ac_objext conftest.$ac_ext +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext fi -echo "$as_me:$LINENO: result: $tcl_cv_findex_enums" >&5 -echo "${ECHO_T}$tcl_cv_findex_enums" >&6 +{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $tcl_cv_findex_enums" >&5 +$as_echo "$tcl_cv_findex_enums" >&6; } if test "$tcl_cv_findex_enums" = "no"; then -cat >>confdefs.h <<\_ACEOF -#define HAVE_NO_FINDEX_ENUMS 1 -_ACEOF +$as_echo "#define HAVE_NO_FINDEX_ENUMS 1" >>confdefs.h fi @@ -4975,39 +5002,35 @@ fi #-------------------------------------------------------------------- - echo "$as_me:$LINENO: checking for build with symbols" >&5 -echo $ECHO_N "checking for build with symbols... $ECHO_C" >&6 - # Check whether --enable-symbols or --disable-symbols was given. -if test "${enable_symbols+set}" = set; then - enableval="$enable_symbols" - tcl_ok=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking for build with symbols" >&5 +$as_echo_n "checking for build with symbols... " >&6; } + # Check whether --enable-symbols was given. +if test "${enable_symbols+set}" = set; then : + enableval=$enable_symbols; tcl_ok=$enableval else tcl_ok=no -fi; +fi + # FIXME: Currently, LDFLAGS_DEFAULT is not used, it should work like CFLAGS_DEFAULT. if test "$tcl_ok" = "no"; then CFLAGS_DEFAULT='$(CFLAGS_OPTIMIZE)' LDFLAGS_DEFAULT='$(LDFLAGS_OPTIMIZE)' DBGX="" -cat >>confdefs.h <<\_ACEOF -#define NDEBUG 1 -_ACEOF +$as_echo "#define NDEBUG 1" >>confdefs.h - echo "$as_me:$LINENO: result: no" >&5 -echo "${ECHO_T}no" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5 +$as_echo "no" >&6; } - cat >>confdefs.h <<\_ACEOF -#define TCL_CFG_OPTIMIZED 1 -_ACEOF + $as_echo "#define TCL_CFG_OPTIMIZED 1" >>confdefs.h else CFLAGS_DEFAULT='$(CFLAGS_DEBUG)' LDFLAGS_DEFAULT='$(LDFLAGS_DEBUG)' DBGX=g if test "$tcl_ok" = "yes"; then - echo "$as_me:$LINENO: result: yes (standard debugging)" >&5 -echo "${ECHO_T}yes (standard debugging)" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: yes (standard debugging)" >&5 +$as_echo "yes (standard debugging)" >&6; } fi fi @@ -5015,32 +5038,26 @@ echo "${ECHO_T}yes (standard debugging)" >&6 if test "$tcl_ok" = "mem" -o "$tcl_ok" = "all"; then -cat >>confdefs.h <<\_ACEOF -#define TCL_MEM_DEBUG 1 -_ACEOF +$as_echo "#define TCL_MEM_DEBUG 1" >>confdefs.h fi if test "$tcl_ok" = "compile" -o "$tcl_ok" = "all"; then -cat >>confdefs.h <<\_ACEOF -#define TCL_COMPILE_DEBUG 1 -_ACEOF +$as_echo "#define TCL_COMPILE_DEBUG 1" >>confdefs.h -cat >>confdefs.h <<\_ACEOF -#define TCL_COMPILE_STATS 1 -_ACEOF +$as_echo "#define TCL_COMPILE_STATS 1" >>confdefs.h fi if test "$tcl_ok" != "yes" -a "$tcl_ok" != "no"; then if test "$tcl_ok" = "all"; then - echo "$as_me:$LINENO: result: enabled symbols mem compile debugging" >&5 -echo "${ECHO_T}enabled symbols mem compile debugging" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: enabled symbols mem compile debugging" >&5 +$as_echo "enabled symbols mem compile debugging" >&6; } else - echo "$as_me:$LINENO: result: enabled $tcl_ok debugging" >&5 -echo "${ECHO_T}enabled $tcl_ok debugging" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: enabled $tcl_ok debugging" >&5 +$as_echo "enabled $tcl_ok debugging" >&6; } fi fi @@ -5052,15 +5069,15 @@ TCL_DBGX=${DBGX} #-------------------------------------------------------------------- - echo "$as_me:$LINENO: checking whether to embed manifest" >&5 -echo $ECHO_N "checking whether to embed manifest... $ECHO_C" >&6 - # Check whether --enable-embedded-manifest or --disable-embedded-manifest was given. -if test "${enable_embedded_manifest+set}" = set; then - enableval="$enable_embedded_manifest" - embed_ok=$enableval + { $as_echo "$as_me:${as_lineno-$LINENO}: checking whether to embed manifest" >&5 +$as_echo_n "checking whether to embed manifest... " >&6; } + # Check whether --enable-embedded-manifest was given. +if test "${enable_embedded_manifest+set}" = set; then : + enableval=$enable_embedded_manifest; embed_ok=$enableval else embed_ok=yes -fi; +fi + VC_MANIFEST_EMBED_DLL= VC_MANIFEST_EMBED_EXE= @@ -5068,11 +5085,7 @@ fi; if test "$embed_ok" = "yes" -a "${SHARED_BUILD}" = "1" \ -a "$GCC" != "yes" ; then # Add the magic to embed the manifest into the dll/exe - cat >conftest.$ac_ext <<_ACEOF -/* confdefs.h. */ -_ACEOF -cat confdefs.h >>conftest.$ac_ext -cat >>conftest.$ac_ext <<_ACEOF + cat confdefs.h - <<_ACEOF >conftest.$ac_ext /* end confdefs.h. */ #if defined(_MSC_VER) && _MSC_VER >= 1400 @@ -5081,7 +5094,7 @@ print("manifest needed") _ACEOF if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | - $EGREP "manifest needed" >/dev/null 2>&1; then + $EGREP "manifest needed" >/dev/null 2>&1; then : # Could do a CHECK_PROG for mt, but should always be with MSVC8+ # Could add 'if test -f' check, but manifest should be created @@ -5100,8 +5113,8 @@ fi rm -f conftest* fi - echo "$as_me:$LINENO: result: $result" >&5 -echo "${ECHO_T}$result" >&6 + { $as_echo "$as_me:${as_lineno-$LINENO}: result: $result" >&5 +$as_echo "$result" >&6; } @@ -5287,7 +5300,8 @@ TCL_WIN_VERSION="$TCL_VERSION.$TCL_RELEASE_LEVEL.`echo $TCL_PATCH_LEVEL | tr -d - ac_config_files="$ac_config_files Makefile tclConfig.sh tcl.hpj tclsh.exe.manifest" +ac_config_files="$ac_config_files Makefile tclConfig.sh tcl.hpj tclsh.exe.manifest" + cat >confcache <<\_ACEOF # This file is a shell script that caches the results of configure # tests run on this system so they can be shared between configure @@ -5306,39 +5320,70 @@ _ACEOF # The following way of writing the cache mishandles newlines in values, # but we know of no workaround that is simple, portable, and efficient. -# So, don't put newlines in cache variables' values. +# So, we kill variables containing newlines. # Ultrix sh set writes to stderr and can't be redirected directly, # and sets the high bit in the cache file unless we assign to the vars. -{ +( + for ac_var in `(set) 2>&1 | sed -n 's/^\([a-zA-Z_][a-zA-Z0-9_]*\)=.*/\1/p'`; do + eval ac_val=\$$ac_var + case $ac_val in #( + *${as_nl}*) + case $ac_var in #( + *_cv_*) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: cache variable $ac_var contains a newline" >&5 +$as_echo "$as_me: WARNING: cache variable $ac_var contains a newline" >&2;} ;; + esac + case $ac_var in #( + _ | IFS | as_nl) ;; #( + BASH_ARGV | BASH_SOURCE) eval $ac_var= ;; #( + *) { eval $ac_var=; unset $ac_var;} ;; + esac ;; + esac + done + (set) 2>&1 | - case `(ac_space=' '; set | grep ac_space) 2>&1` in - *ac_space=\ *) - # `set' does not quote correctly, so add quotes (double-quote - # substitution turns \\\\ into \\, and sed turns \\ into \). + case $as_nl`(ac_space=' '; set) 2>&1` in #( + *${as_nl}ac_space=\ *) + # `set' does not quote correctly, so add quotes: double-quote + # substitution turns \\\\ into \\, and sed turns \\ into \. sed -n \ "s/'/'\\\\''/g; s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1='\\2'/p" - ;; + ;; #( *) # `set' quotes correctly as required by POSIX, so do not add quotes. - sed -n \ - "s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1=\\2/p" + sed -n "/^[_$as_cr_alnum]*_cv_[_$as_cr_alnum]*=/p" ;; - esac; -} | + esac | + sort +) | sed ' + /^ac_cv_env_/b end t clear - : clear + :clear s/^\([^=]*\)=\(.*[{}].*\)$/test "${\1+set}" = set || &/ t end - /^ac_cv_env/!s/^\([^=]*\)=\(.*\)$/\1=${\1=\2}/ - : end' >>confcache -if diff $cache_file confcache >/dev/null 2>&1; then :; else - if test -w $cache_file; then - test "x$cache_file" != "x/dev/null" && echo "updating cache $cache_file" - cat confcache >$cache_file + s/^\([^=]*\)=\(.*\)$/\1=${\1=\2}/ + :end' >>confcache +if diff "$cache_file" confcache >/dev/null 2>&1; then :; else + if test -w "$cache_file"; then + if test "x$cache_file" != "x/dev/null"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: updating cache $cache_file" >&5 +$as_echo "$as_me: updating cache $cache_file" >&6;} + if test ! -f "$cache_file" || test -h "$cache_file"; then + cat confcache >"$cache_file" + else + case $cache_file in #( + */* | ?:*) + mv -f confcache "$cache_file"$$ && + mv -f "$cache_file"$$ "$cache_file" ;; #( + *) + mv -f confcache "$cache_file" ;; + esac + fi + fi else - echo "not updating unwritable cache $cache_file" + { $as_echo "$as_me:${as_lineno-$LINENO}: not updating unwritable cache $cache_file" >&5 +$as_echo "$as_me: not updating unwritable cache $cache_file" >&6;} fi fi rm -f confcache @@ -5347,63 +5392,55 @@ test "x$prefix" = xNONE && prefix=$ac_default_prefix # Let make expand exec_prefix. test "x$exec_prefix" = xNONE && exec_prefix='${prefix}' -# VPATH may cause trouble with some makes, so we remove $(srcdir), -# ${srcdir} and @srcdir@ from VPATH if srcdir is ".", strip leading and -# trailing colons and then remove the whole line if VPATH becomes empty -# (actually we leave an empty line to preserve line numbers). -if test "x$srcdir" = x.; then - ac_vpsub='/^[ ]*VPATH[ ]*=/{ -s/:*\$(srcdir):*/:/; -s/:*\${srcdir}:*/:/; -s/:*@srcdir@:*/:/; -s/^\([^=]*=[ ]*\):*/\1/; -s/:*$//; -s/^[^=]*=[ ]*$//; -}' -fi - # Transform confdefs.h into DEFS. # Protect against shell expansion while executing Makefile rules. # Protect against Makefile macro expansion. # # If the first sed substitution is executed (which looks for macros that -# take arguments), then we branch to the quote section. Otherwise, +# take arguments), then branch to the quote section. Otherwise, # look for a macro that doesn't take arguments. -cat >confdef2opt.sed <<\_ACEOF +ac_script=' +:mline +/\\$/{ + N + s,\\\n,, + b mline +} t clear -: clear -s,^[ ]*#[ ]*define[ ][ ]*\([^ (][^ (]*([^)]*)\)[ ]*\(.*\),-D\1=\2,g +:clear +s/^[ ]*#[ ]*define[ ][ ]*\([^ (][^ (]*([^)]*)\)[ ]*\(.*\)/-D\1=\2/g t quote -s,^[ ]*#[ ]*define[ ][ ]*\([^ ][^ ]*\)[ ]*\(.*\),-D\1=\2,g +s/^[ ]*#[ ]*define[ ][ ]*\([^ ][^ ]*\)[ ]*\(.*\)/-D\1=\2/g t quote -d -: quote -s,[ `~#$^&*(){}\\|;'"<>?],\\&,g -s,\[,\\&,g -s,\],\\&,g -s,\$,$$,g -p -_ACEOF -# We use echo to avoid assuming a particular line-breaking character. -# The extra dot is to prevent the shell from consuming trailing -# line-breaks from the sub-command output. A line-break within -# single-quotes doesn't work because, if this script is created in a -# platform that uses two characters for line-breaks (e.g., DOS), tr -# would break. -ac_LF_and_DOT=`echo; echo .` -DEFS=`sed -n -f confdef2opt.sed confdefs.h | tr "$ac_LF_and_DOT" ' .'` -rm -f confdef2opt.sed +b any +:quote +s/[ `~#$^&*(){}\\|;'\''"<>?]/\\&/g +s/\[/\\&/g +s/\]/\\&/g +s/\$/$$/g +H +:any +${ + g + s/^\n// + s/\n/ /g + p +} +' +DEFS=`sed -n "$ac_script" confdefs.h` ac_libobjs= ac_ltlibobjs= +U= for ac_i in : $LIBOBJS; do test "x$ac_i" = x: && continue # 1. Remove the extension, and $U if already installed. - ac_i=`echo "$ac_i" | - sed 's/\$U\././;s/\.o$//;s/\.obj$//'` - # 2. Add them. - ac_libobjs="$ac_libobjs $ac_i\$U.$ac_objext" - ac_ltlibobjs="$ac_ltlibobjs $ac_i"'$U.lo' + ac_script='s/\$U\././;s/\.o$//;s/\.obj$//' + ac_i=`$as_echo "$ac_i" | sed "$ac_script"` + # 2. Prepend LIBOBJDIR. When used with automake>=1.10 LIBOBJDIR + # will be set to the directory where LIBOBJS objects are built. + as_fn_append ac_libobjs " \${LIBOBJDIR}$ac_i\$U.$ac_objext" + as_fn_append ac_ltlibobjs " \${LIBOBJDIR}$ac_i"'$U.lo' done LIBOBJS=$ac_libobjs @@ -5411,12 +5448,14 @@ LTLIBOBJS=$ac_ltlibobjs -: ${CONFIG_STATUS=./config.status} +: "${CONFIG_STATUS=./config.status}" +ac_write_fail=0 ac_clean_files_save=$ac_clean_files ac_clean_files="$ac_clean_files $CONFIG_STATUS" -{ echo "$as_me:$LINENO: creating $CONFIG_STATUS" >&5 -echo "$as_me: creating $CONFIG_STATUS" >&6;} -cat >$CONFIG_STATUS <<_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: creating $CONFIG_STATUS" >&5 +$as_echo "$as_me: creating $CONFIG_STATUS" >&6;} +as_write_fail=0 +cat >$CONFIG_STATUS <<_ASEOF || as_write_fail=1 #! $SHELL # Generated by $as_me. # Run this file to recreate the current configuration. @@ -5426,81 +5465,253 @@ cat >$CONFIG_STATUS <<_ACEOF debug=false ac_cs_recheck=false ac_cs_silent=false -SHELL=\${CONFIG_SHELL-$SHELL} -_ACEOF - -cat >>$CONFIG_STATUS <<\_ACEOF -## --------------------- ## -## M4sh Initialization. ## -## --------------------- ## -# Be Bourne compatible -if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then +SHELL=\${CONFIG_SHELL-$SHELL} +export SHELL +_ASEOF +cat >>$CONFIG_STATUS <<\_ASEOF || as_write_fail=1 +## -------------------- ## +## M4sh Initialization. ## +## -------------------- ## + +# Be more Bourne compatible +DUALCASE=1; export DUALCASE # for MKS sh +if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then : emulate sh NULLCMD=: - # Zsh 3.x and 4.x performs word splitting on ${1+"$@"}, which + # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which # is contrary to our usage. Disable this feature. alias -g '${1+"$@"}'='"$@"' -elif test -n "${BASH_VERSION+set}" && (set -o posix) >/dev/null 2>&1; then - set -o posix + setopt NO_GLOB_SUBST +else + case `(set -o) 2>/dev/null` in #( + *posix*) : + set -o posix ;; #( + *) : + ;; +esac fi -DUALCASE=1; export DUALCASE # for MKS sh -# Support unset when possible. -if ( (MAIL=60; unset MAIL) || exit) >/dev/null 2>&1; then - as_unset=unset -else - as_unset=false + +as_nl=' +' +export as_nl +# Printing a long string crashes Solaris 7 /usr/bin/printf. +as_echo='\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\' +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo$as_echo +# Prefer a ksh shell builtin over an external printf program on Solaris, +# but without wasting forks for bash or zsh. +if test -z "$BASH_VERSION$ZSH_VERSION" \ + && (test "X`print -r -- $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='print -r --' + as_echo_n='print -rn --' +elif (test "X`printf %s $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='printf %s\n' + as_echo_n='printf %s' +else + if test "X`(/usr/ucb/echo -n -n $as_echo) 2>/dev/null`" = "X-n $as_echo"; then + as_echo_body='eval /usr/ucb/echo -n "$1$as_nl"' + as_echo_n='/usr/ucb/echo -n' + else + as_echo_body='eval expr "X$1" : "X\\(.*\\)"' + as_echo_n_body='eval + arg=$1; + case $arg in #( + *"$as_nl"*) + expr "X$arg" : "X\\(.*\\)$as_nl"; + arg=`expr "X$arg" : ".*$as_nl\\(.*\\)"`;; + esac; + expr "X$arg" : "X\\(.*\\)" | tr -d "$as_nl" + ' + export as_echo_n_body + as_echo_n='sh -c $as_echo_n_body as_echo' + fi + export as_echo_body + as_echo='sh -c $as_echo_body as_echo' +fi + +# The user is always right. +if test "${PATH_SEPARATOR+set}" != set; then + PATH_SEPARATOR=: + (PATH='/bin;/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 && { + (PATH='/bin:/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 || + PATH_SEPARATOR=';' + } fi -# Work around bugs in pre-3.0 UWIN ksh. -$as_unset ENV MAIL MAILPATH +# IFS +# We need space, tab and new line, in precisely that order. Quoting is +# there to prevent editors from complaining about space-tab. +# (If _AS_PATH_WALK were called with IFS unset, it would disable word +# splitting by setting IFS to empty value.) +IFS=" "" $as_nl" + +# Find who we are. Look in the path if we contain no directory separator. +as_myself= +case $0 in #(( + *[\\/]* ) as_myself=$0 ;; + *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break + done +IFS=$as_save_IFS + + ;; +esac +# We did not find ourselves, most probably we were run as `sh COMMAND' +# in which case we are not to be found in the path. +if test "x$as_myself" = x; then + as_myself=$0 +fi +if test ! -f "$as_myself"; then + $as_echo "$as_myself: error: cannot find myself; rerun with an absolute file name" >&2 + exit 1 +fi + +# Unset variables that we do not need and which cause bugs (e.g. in +# pre-3.0 UWIN ksh). But do not cause bugs in bash 2.01; the "|| exit 1" +# suppresses any "Segmentation fault" message there. '((' could +# trigger a bug in pdksh 5.2.14. +for as_var in BASH_ENV ENV MAIL MAILPATH +do eval test x\${$as_var+set} = xset \ + && ( (unset $as_var) || exit 1) >/dev/null 2>&1 && unset $as_var || : +done PS1='$ ' PS2='> ' PS4='+ ' # NLS nuisances. -for as_var in \ - LANG LANGUAGE LC_ADDRESS LC_ALL LC_COLLATE LC_CTYPE LC_IDENTIFICATION \ - LC_MEASUREMENT LC_MESSAGES LC_MONETARY LC_NAME LC_NUMERIC LC_PAPER \ - LC_TELEPHONE LC_TIME -do - if (set +x; test -z "`(eval $as_var=C; export $as_var) 2>&1`"); then - eval $as_var=C; export $as_var - else - $as_unset $as_var +LC_ALL=C +export LC_ALL +LANGUAGE=C +export LANGUAGE + +# CDPATH. +(unset CDPATH) >/dev/null 2>&1 && unset CDPATH + + +# as_fn_error STATUS ERROR [LINENO LOG_FD] +# ---------------------------------------- +# Output "`basename $0`: error: ERROR" to stderr. If LINENO and LOG_FD are +# provided, also output the error to LOG_FD, referencing LINENO. Then exit the +# script with STATUS, using 1 if that was 0. +as_fn_error () +{ + as_status=$1; test $as_status -eq 0 && as_status=1 + if test "$4"; then + as_lineno=${as_lineno-"$3"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + $as_echo "$as_me:${as_lineno-$LINENO}: error: $2" >&$4 fi -done + $as_echo "$as_me: error: $2" >&2 + as_fn_exit $as_status +} # as_fn_error + -# Required to use basename. -if expr a : '\(a\)' >/dev/null 2>&1; then +# as_fn_set_status STATUS +# ----------------------- +# Set $? to STATUS, without forking. +as_fn_set_status () +{ + return $1 +} # as_fn_set_status + +# as_fn_exit STATUS +# ----------------- +# Exit the shell with STATUS, even in a "trap 0" or "set -e" context. +as_fn_exit () +{ + set +e + as_fn_set_status $1 + exit $1 +} # as_fn_exit + +# as_fn_unset VAR +# --------------- +# Portably unset VAR. +as_fn_unset () +{ + { eval $1=; unset $1;} +} +as_unset=as_fn_unset +# as_fn_append VAR VALUE +# ---------------------- +# Append the text in VALUE to the end of the definition contained in VAR. Take +# advantage of any shell optimizations that allow amortized linear growth over +# repeated appends, instead of the typical quadratic growth present in naive +# implementations. +if (eval "as_var=1; as_var+=2; test x\$as_var = x12") 2>/dev/null; then : + eval 'as_fn_append () + { + eval $1+=\$2 + }' +else + as_fn_append () + { + eval $1=\$$1\$2 + } +fi # as_fn_append + +# as_fn_arith ARG... +# ------------------ +# Perform arithmetic evaluation on the ARGs, and store the result in the +# global $as_val. Take advantage of shells that can avoid forks. The arguments +# must be portable across $(()) and expr. +if (eval "test \$(( 1 + 1 )) = 2") 2>/dev/null; then : + eval 'as_fn_arith () + { + as_val=$(( $* )) + }' +else + as_fn_arith () + { + as_val=`expr "$@" || test $? -eq 1` + } +fi # as_fn_arith + + +if expr a : '\(a\)' >/dev/null 2>&1 && + test "X`expr 00001 : '.*\(...\)'`" = X001; then as_expr=expr else as_expr=false fi -if (basename /) >/dev/null 2>&1 && test "X`basename / 2>&1`" = "X/"; then +if (basename -- /) >/dev/null 2>&1 && test "X`basename -- / 2>&1`" = "X/"; then as_basename=basename else as_basename=false fi +if (as_dir=`dirname -- /` && test "X$as_dir" = X/) >/dev/null 2>&1; then + as_dirname=dirname +else + as_dirname=false +fi -# Name of the executable. -as_me=`$as_basename "$0" || +as_me=`$as_basename -- "$0" || $as_expr X/"$0" : '.*/\([^/][^/]*\)/*$' \| \ X"$0" : 'X\(//\)$' \| \ - X"$0" : 'X\(/\)$' \| \ - . : '\(.\)' 2>/dev/null || -echo X/"$0" | - sed '/^.*\/\([^/][^/]*\)\/*$/{ s//\1/; q; } - /^X\/\(\/\/\)$/{ s//\1/; q; } - /^X\/\(\/\).*/{ s//\1/; q; } - s/.*/./; q'` - + X"$0" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X/"$0" | + sed '/^.*\/\([^/][^/]*\)\/*$/{ + s//\1/ + q + } + /^X\/\(\/\/\)$/{ + s//\1/ + q + } + /^X\/\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` -# PATH needs CR, and LINENO needs CR and PATH. # Avoid depending upon Character Ranges. as_cr_letters='abcdefghijklmnopqrstuvwxyz' as_cr_LETTERS='ABCDEFGHIJKLMNOPQRSTUVWXYZ' @@ -5508,148 +5719,111 @@ as_cr_Letters=$as_cr_letters$as_cr_LETTERS as_cr_digits='0123456789' as_cr_alnum=$as_cr_Letters$as_cr_digits -# The user is always right. -if test "${PATH_SEPARATOR+set}" != set; then - echo "#! /bin/sh" >conf$$.sh - echo "exit 0" >>conf$$.sh - chmod +x conf$$.sh - if (PATH="/nonexistent;."; conf$$.sh) >/dev/null 2>&1; then - PATH_SEPARATOR=';' - else - PATH_SEPARATOR=: - fi - rm -f conf$$.sh -fi - - - as_lineno_1=$LINENO - as_lineno_2=$LINENO - as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null` - test "x$as_lineno_1" != "x$as_lineno_2" && - test "x$as_lineno_3" = "x$as_lineno_2" || { - # Find who we are. Look in the path if we contain no path at all - # relative or not. - case $0 in - *[\\/]* ) as_myself=$0 ;; - *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in $PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break -done - - ;; - esac - # We did not find ourselves, most probably we were run as `sh COMMAND' - # in which case we are not to be found in the path. - if test "x$as_myself" = x; then - as_myself=$0 - fi - if test ! -f "$as_myself"; then - { { echo "$as_me:$LINENO: error: cannot find myself; rerun with an absolute path" >&5 -echo "$as_me: error: cannot find myself; rerun with an absolute path" >&2;} - { (exit 1); exit 1; }; } - fi - case $CONFIG_SHELL in - '') - as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in /bin$PATH_SEPARATOR/usr/bin$PATH_SEPARATOR$PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - for as_base in sh bash ksh sh5; do - case $as_dir in - /*) - if ("$as_dir/$as_base" -c ' - as_lineno_1=$LINENO - as_lineno_2=$LINENO - as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null` - test "x$as_lineno_1" != "x$as_lineno_2" && - test "x$as_lineno_3" = "x$as_lineno_2" ') 2>/dev/null; then - $as_unset BASH_ENV || test "${BASH_ENV+set}" != set || { BASH_ENV=; export BASH_ENV; } - $as_unset ENV || test "${ENV+set}" != set || { ENV=; export ENV; } - CONFIG_SHELL=$as_dir/$as_base - export CONFIG_SHELL - exec "$CONFIG_SHELL" "$0" ${1+"$@"} - fi;; - esac - done -done -;; - esac - - # Create $as_me.lineno as a copy of $as_myself, but with $LINENO - # uniformly replaced by the line number. The first 'sed' inserts a - # line-number line before each line; the second 'sed' does the real - # work. The second script uses 'N' to pair each line-number line - # with the numbered line, and appends trailing '-' during - # substitution so that $LINENO is not a special case at line end. - # (Raja R Harinath suggested sed '=', and Paul Eggert wrote the - # second 'sed' script. Blame Lee E. McMahon for sed's syntax. :-) - sed '=' <$as_myself | - sed ' - N - s,$,-, - : loop - s,^\(['$as_cr_digits']*\)\(.*\)[$]LINENO\([^'$as_cr_alnum'_]\),\1\2\1\3, - t loop - s,-$,, - s,^['$as_cr_digits']*\n,, - ' >$as_me.lineno && - chmod +x $as_me.lineno || - { { echo "$as_me:$LINENO: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&5 -echo "$as_me: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&2;} - { (exit 1); exit 1; }; } - - # Don't try to exec as it changes $[0], causing all sort of problems - # (the dirname of $[0] is not the place where we might find the - # original and so on. Autoconf is especially sensible to this). - . ./$as_me.lineno - # Exit status is that of the last command. - exit -} - - -case `echo "testing\c"; echo 1,2,3`,`echo -n testing; echo 1,2,3` in - *c*,-n*) ECHO_N= ECHO_C=' -' ECHO_T=' ' ;; - *c*,* ) ECHO_N=-n ECHO_C= ECHO_T= ;; - *) ECHO_N= ECHO_C='\c' ECHO_T= ;; +ECHO_C= ECHO_N= ECHO_T= +case `echo -n x` in #((((( +-n*) + case `echo 'xy\c'` in + *c*) ECHO_T=' ';; # ECHO_T is single tab character. + xy) ECHO_C='\c';; + *) echo `echo ksh88 bug on AIX 6.1` > /dev/null + ECHO_T=' ';; + esac;; +*) + ECHO_N='-n';; esac -if expr a : '\(a\)' >/dev/null 2>&1; then - as_expr=expr +rm -f conf$$ conf$$.exe conf$$.file +if test -d conf$$.dir; then + rm -f conf$$.dir/conf$$.file else - as_expr=false + rm -f conf$$.dir + mkdir conf$$.dir 2>/dev/null fi - -rm -f conf$$ conf$$.exe conf$$.file -echo >conf$$.file -if ln -s conf$$.file conf$$ 2>/dev/null; then - # We could just check for DJGPP; but this test a) works b) is more generic - # and c) will remain valid once DJGPP supports symlinks (DJGPP 2.04). - if test -f conf$$.exe; then - # Don't use ln at all; we don't have any links - as_ln_s='cp -p' - else +if (echo >conf$$.file) 2>/dev/null; then + if ln -s conf$$.file conf$$ 2>/dev/null; then as_ln_s='ln -s' + # ... but there are two gotchas: + # 1) On MSYS, both `ln -s file dir' and `ln file dir' fail. + # 2) DJGPP < 2.04 has no symlinks; `ln -s' creates a wrapper executable. + # In both cases, we have to default to `cp -pR'. + ln -s conf$$.file conf$$.dir 2>/dev/null && test ! -f conf$$.exe || + as_ln_s='cp -pR' + elif ln conf$$.file conf$$ 2>/dev/null; then + as_ln_s=ln + else + as_ln_s='cp -pR' fi -elif ln conf$$.file conf$$ 2>/dev/null; then - as_ln_s=ln else - as_ln_s='cp -p' + as_ln_s='cp -pR' fi -rm -f conf$$ conf$$.exe conf$$.file +rm -f conf$$ conf$$.exe conf$$.dir/conf$$.file conf$$.file +rmdir conf$$.dir 2>/dev/null + + +# as_fn_mkdir_p +# ------------- +# Create "$as_dir" as a directory, including parents if necessary. +as_fn_mkdir_p () +{ + case $as_dir in #( + -*) as_dir=./$as_dir;; + esac + test -d "$as_dir" || eval $as_mkdir_p || { + as_dirs= + while :; do + case $as_dir in #( + *\'*) as_qdir=`$as_echo "$as_dir" | sed "s/'/'\\\\\\\\''/g"`;; #'( + *) as_qdir=$as_dir;; + esac + as_dirs="'$as_qdir' $as_dirs" + as_dir=`$as_dirname -- "$as_dir" || +$as_expr X"$as_dir" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ + X"$as_dir" : 'X\(//\)[^/]' \| \ + X"$as_dir" : 'X\(//\)$' \| \ + X"$as_dir" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X"$as_dir" | + sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ + s//\1/ + q + } + /^X\(\/\/\)[^/].*/{ + s//\1/ + q + } + /^X\(\/\/\)$/{ + s//\1/ + q + } + /^X\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` + test -d "$as_dir" && break + done + test -z "$as_dirs" || eval "mkdir $as_dirs" + } || test -d "$as_dir" || as_fn_error $? "cannot create directory $as_dir" + + +} # as_fn_mkdir_p if mkdir -p . 2>/dev/null; then - as_mkdir_p=: + as_mkdir_p='mkdir -p "$as_dir"' else test -d ./-p && rmdir ./-p as_mkdir_p=false fi -as_executable_p="test -f" + +# as_fn_executable_p FILE +# ----------------------- +# Test if FILE is an executable regular file. +as_fn_executable_p () +{ + test -f "$1" && test -x "$1" +} # as_fn_executable_p +as_test_x='test -x' +as_executable_p=as_fn_executable_p # Sed expression to map a string onto a valid CPP name. as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" @@ -5658,31 +5832,20 @@ as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" as_tr_sh="eval sed 'y%*+%pp%;s%[^_$as_cr_alnum]%_%g'" -# IFS -# We need space, tab and new line, in precisely that order. -as_nl=' -' -IFS=" $as_nl" - -# CDPATH. -$as_unset CDPATH - exec 6>&1 - -# Open the log real soon, to keep \$[0] and so on meaningful, and to +## ----------------------------------- ## +## Main body of $CONFIG_STATUS script. ## +## ----------------------------------- ## +_ASEOF +test $as_write_fail = 0 && chmod +x $CONFIG_STATUS || ac_write_fail=1 + +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +# Save the log message, to keep $0 and so on meaningful, and to # report actual input values of CONFIG_FILES etc. instead of their -# values after options handling. Logging --version etc. is OK. -exec 5>>config.log -{ - echo - sed 'h;s/./-/g;s/^.../## /;s/...$/ ##/;p;x;p;x' <<_ASBOX -## Running $as_me. ## -_ASBOX -} >&5 -cat >&5 <<_CSEOF - +# values after options handling. +ac_log=" This file was extended by $as_me, which was -generated by GNU Autoconf 2.59. Invocation command line was +generated by GNU Autoconf 2.69. Invocation command line was CONFIG_FILES = $CONFIG_FILES CONFIG_HEADERS = $CONFIG_HEADERS @@ -5690,124 +5853,116 @@ generated by GNU Autoconf 2.59. Invocation command line was CONFIG_COMMANDS = $CONFIG_COMMANDS $ $0 $@ -_CSEOF -echo "on `(hostname || uname -n) 2>/dev/null | sed 1q`" >&5 -echo >&5 +on `(hostname || uname -n) 2>/dev/null | sed 1q` +" + _ACEOF -# Files that config.status was made for. -if test -n "$ac_config_files"; then - echo "config_files=\"$ac_config_files\"" >>$CONFIG_STATUS -fi +case $ac_config_files in *" +"*) set x $ac_config_files; shift; ac_config_files=$*;; +esac -if test -n "$ac_config_headers"; then - echo "config_headers=\"$ac_config_headers\"" >>$CONFIG_STATUS -fi -if test -n "$ac_config_links"; then - echo "config_links=\"$ac_config_links\"" >>$CONFIG_STATUS -fi -if test -n "$ac_config_commands"; then - echo "config_commands=\"$ac_config_commands\"" >>$CONFIG_STATUS -fi +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +# Files that config.status was made for. +config_files="$ac_config_files" -cat >>$CONFIG_STATUS <<\_ACEOF +_ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 ac_cs_usage="\ -\`$as_me' instantiates files from templates according to the -current configuration. +\`$as_me' instantiates files and other configuration actions +from templates according to the current configuration. Unless the files +and actions are specified as TAGs, all are instantiated by default. -Usage: $0 [OPTIONS] [FILE]... +Usage: $0 [OPTION]... [TAG]... -h, --help print this help, then exit - -V, --version print version number, then exit - -q, --quiet do not print progress messages + -V, --version print version number and configuration settings, then exit + --config print configuration, then exit + -q, --quiet, --silent + do not print progress messages -d, --debug don't remove temporary files --recheck update $as_me by reconfiguring in the same conditions - --file=FILE[:TEMPLATE] - instantiate the configuration file FILE + --file=FILE[:TEMPLATE] + instantiate the configuration file FILE Configuration files: $config_files -Report bugs to ." -_ACEOF +Report bugs to the package provider." -cat >>$CONFIG_STATUS <<_ACEOF +_ACEOF +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +ac_cs_config="`$as_echo "$ac_configure_args" | sed 's/^ //; s/[\\""\`\$]/\\\\&/g'`" ac_cs_version="\\ config.status -configured by $0, generated by GNU Autoconf 2.59, - with options \\"`echo "$ac_configure_args" | sed 's/[\\""\`\$]/\\\\&/g'`\\" +configured by $0, generated by GNU Autoconf 2.69, + with options \\"\$ac_cs_config\\" -Copyright (C) 2003 Free Software Foundation, Inc. +Copyright (C) 2012 Free Software Foundation, Inc. This config.status script is free software; the Free Software Foundation gives unlimited permission to copy, distribute and modify it." -srcdir=$srcdir + +ac_pwd='$ac_pwd' +srcdir='$srcdir' +test -n "\$AWK" || AWK=awk _ACEOF -cat >>$CONFIG_STATUS <<\_ACEOF -# If no file are specified by the user, then we need to provide default -# value. By we need to know if files were specified by the user. +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +# The default lists apply if the user does not specify any file. ac_need_defaults=: while test $# != 0 do case $1 in - --*=*) - ac_option=`expr "x$1" : 'x\([^=]*\)='` - ac_optarg=`expr "x$1" : 'x[^=]*=\(.*\)'` + --*=?*) + ac_option=`expr "X$1" : 'X\([^=]*\)='` + ac_optarg=`expr "X$1" : 'X[^=]*=\(.*\)'` + ac_shift=: + ;; + --*=) + ac_option=`expr "X$1" : 'X\([^=]*\)='` + ac_optarg= ac_shift=: ;; - -*) + *) ac_option=$1 ac_optarg=$2 ac_shift=shift ;; - *) # This is not an option, so the user has probably given explicit - # arguments. - ac_option=$1 - ac_need_defaults=false;; esac case $ac_option in # Handling of the options. -_ACEOF -cat >>$CONFIG_STATUS <<\_ACEOF -recheck | --recheck | --rechec | --reche | --rech | --rec | --re | --r) ac_cs_recheck=: ;; - --version | --vers* | -V ) - echo "$ac_cs_version"; exit 0 ;; - --he | --h) - # Conflict between --help and --header - { { echo "$as_me:$LINENO: error: ambiguous option: $1 -Try \`$0 --help' for more information." >&5 -echo "$as_me: error: ambiguous option: $1 -Try \`$0 --help' for more information." >&2;} - { (exit 1); exit 1; }; };; - --help | --hel | -h ) - echo "$ac_cs_usage"; exit 0 ;; - --debug | --d* | -d ) + --version | --versio | --versi | --vers | --ver | --ve | --v | -V ) + $as_echo "$ac_cs_version"; exit ;; + --config | --confi | --conf | --con | --co | --c ) + $as_echo "$ac_cs_config"; exit ;; + --debug | --debu | --deb | --de | --d | -d ) debug=: ;; --file | --fil | --fi | --f ) $ac_shift - CONFIG_FILES="$CONFIG_FILES $ac_optarg" - ac_need_defaults=false;; - --header | --heade | --head | --hea ) - $ac_shift - CONFIG_HEADERS="$CONFIG_HEADERS $ac_optarg" + case $ac_optarg in + *\'*) ac_optarg=`$as_echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"` ;; + '') as_fn_error $? "missing file argument" ;; + esac + as_fn_append CONFIG_FILES " '$ac_optarg'" ac_need_defaults=false;; + --he | --h | --help | --hel | -h ) + $as_echo "$ac_cs_usage"; exit ;; -q | -quiet | --quiet | --quie | --qui | --qu | --q \ | -silent | --silent | --silen | --sile | --sil | --si | --s) ac_cs_silent=: ;; # This is an error. - -*) { { echo "$as_me:$LINENO: error: unrecognized option: $1 -Try \`$0 --help' for more information." >&5 -echo "$as_me: error: unrecognized option: $1 -Try \`$0 --help' for more information." >&2;} - { (exit 1); exit 1; }; } ;; + -*) as_fn_error $? "unrecognized option: \`$1' +Try \`$0 --help' for more information." ;; - *) ac_config_targets="$ac_config_targets $1" ;; + *) as_fn_append ac_config_targets " $1" + ac_need_defaults=false ;; esac shift @@ -5821,33 +5976,47 @@ if $ac_cs_silent; then fi _ACEOF -cat >>$CONFIG_STATUS <<_ACEOF +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 if \$ac_cs_recheck; then - echo "running $SHELL $0 " $ac_configure_args \$ac_configure_extra_args " --no-create --no-recursion" >&6 - exec $SHELL $0 $ac_configure_args \$ac_configure_extra_args --no-create --no-recursion + set X $SHELL '$0' $ac_configure_args \$ac_configure_extra_args --no-create --no-recursion + shift + \$as_echo "running CONFIG_SHELL=$SHELL \$*" >&6 + CONFIG_SHELL='$SHELL' + export CONFIG_SHELL + exec "\$@" fi _ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +exec 5>>config.log +{ + echo + sed 'h;s/./-/g;s/^.../## /;s/...$/ ##/;p;x;p;x' <<_ASBOX +## Running $as_me. ## +_ASBOX + $as_echo "$ac_log" +} >&5 +_ACEOF +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +_ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 - - -cat >>$CONFIG_STATUS <<\_ACEOF +# Handling of arguments. for ac_config_target in $ac_config_targets do - case "$ac_config_target" in - # Handling of arguments. - "Makefile" ) CONFIG_FILES="$CONFIG_FILES Makefile" ;; - "tclConfig.sh" ) CONFIG_FILES="$CONFIG_FILES tclConfig.sh" ;; - "tcl.hpj" ) CONFIG_FILES="$CONFIG_FILES tcl.hpj" ;; - "tclsh.exe.manifest" ) CONFIG_FILES="$CONFIG_FILES tclsh.exe.manifest" ;; - *) { { echo "$as_me:$LINENO: error: invalid argument: $ac_config_target" >&5 -echo "$as_me: error: invalid argument: $ac_config_target" >&2;} - { (exit 1); exit 1; }; };; + case $ac_config_target in + "Makefile") CONFIG_FILES="$CONFIG_FILES Makefile" ;; + "tclConfig.sh") CONFIG_FILES="$CONFIG_FILES tclConfig.sh" ;; + "tcl.hpj") CONFIG_FILES="$CONFIG_FILES tcl.hpj" ;; + "tclsh.exe.manifest") CONFIG_FILES="$CONFIG_FILES tclsh.exe.manifest" ;; + + *) as_fn_error $? "invalid argument: \`$ac_config_target'" "$LINENO" 5;; esac done + # If the user did not use the arguments to specify the items to instantiate, # then the envvar interface is used. Set only those that are not. # We use the long form for the default assignment because of an extremely @@ -5857,420 +6026,414 @@ if $ac_need_defaults; then fi # Have a temporary directory for convenience. Make it in the build tree -# simply because there is no reason to put it here, and in addition, +# simply because there is no reason against having it here, and in addition, # creating and moving files from /tmp can sometimes cause problems. -# Create a temporary directory, and hook for its removal unless debugging. +# Hook for its removal unless debugging. +# Note that there is a small window in which the directory will not be cleaned: +# after its creation but before its name has been assigned to `$tmp'. $debug || { - trap 'exit_status=$?; rm -rf $tmp && exit $exit_status' 0 - trap '{ (exit 1); exit 1; }' 1 2 13 15 + tmp= ac_tmp= + trap 'exit_status=$? + : "${ac_tmp:=$tmp}" + { test ! -d "$ac_tmp" || rm -fr "$ac_tmp"; } && exit $exit_status +' 0 + trap 'as_fn_exit 1' 1 2 13 15 } - # Create a (secure) tmp directory for tmp files. { - tmp=`(umask 077 && mktemp -d -q "./confstatXXXXXX") 2>/dev/null` && - test -n "$tmp" && test -d "$tmp" + tmp=`(umask 077 && mktemp -d "./confXXXXXX") 2>/dev/null` && + test -d "$tmp" } || { - tmp=./confstat$$-$RANDOM - (umask 077 && mkdir $tmp) -} || + tmp=./conf$$-$RANDOM + (umask 077 && mkdir "$tmp") +} || as_fn_error $? "cannot create a temporary directory in ." "$LINENO" 5 +ac_tmp=$tmp + +# Set up the scripts for CONFIG_FILES section. +# No need to generate them if there are no CONFIG_FILES. +# This happens for instance with `./config.status config.h'. +if test -n "$CONFIG_FILES"; then + + +ac_cr=`echo X | tr X '\015'` +# On cygwin, bash can eat \r inside `` if the user requested igncr. +# But we know of no other shell where ac_cr would be empty at this +# point, so we can use a bashism as a fallback. +if test "x$ac_cr" = x; then + eval ac_cr=\$\'\\r\' +fi +ac_cs_awk_cr=`$AWK 'BEGIN { print "a\rb" }' /dev/null` +if test "$ac_cs_awk_cr" = "a${ac_cr}b"; then + ac_cs_awk_cr='\\r' +else + ac_cs_awk_cr=$ac_cr +fi + +echo 'BEGIN {' >"$ac_tmp/subs1.awk" && +_ACEOF + + +{ + echo "cat >conf$$subs.awk <<_ACEOF" && + echo "$ac_subst_vars" | sed 's/.*/&!$&$ac_delim/' && + echo "_ACEOF" +} >conf$$subs.sh || + as_fn_error $? "could not make $CONFIG_STATUS" "$LINENO" 5 +ac_delim_num=`echo "$ac_subst_vars" | grep -c '^'` +ac_delim='%!_!# ' +for ac_last_try in false false false false false :; do + . ./conf$$subs.sh || + as_fn_error $? "could not make $CONFIG_STATUS" "$LINENO" 5 + + ac_delim_n=`sed -n "s/.*$ac_delim\$/X/p" conf$$subs.awk | grep -c X` + if test $ac_delim_n = $ac_delim_num; then + break + elif $ac_last_try; then + as_fn_error $? "could not make $CONFIG_STATUS" "$LINENO" 5 + else + ac_delim="$ac_delim!$ac_delim _$ac_delim!! " + fi +done +rm -f conf$$subs.sh + +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +cat >>"\$ac_tmp/subs1.awk" <<\\_ACAWK && +_ACEOF +sed -n ' +h +s/^/S["/; s/!.*/"]=/ +p +g +s/^[^!]*!// +:repl +t repl +s/'"$ac_delim"'$// +t delim +:nl +h +s/\(.\{148\}\)..*/\1/ +t more1 +s/["\\]/\\&/g; s/^/"/; s/$/\\n"\\/ +p +n +b repl +:more1 +s/["\\]/\\&/g; s/^/"/; s/$/"\\/ +p +g +s/.\{148\}// +t nl +:delim +h +s/\(.\{148\}\)..*/\1/ +t more2 +s/["\\]/\\&/g; s/^/"/; s/$/"/ +p +b +:more2 +s/["\\]/\\&/g; s/^/"/; s/$/"\\/ +p +g +s/.\{148\}// +t delim +' >$CONFIG_STATUS || ac_write_fail=1 +rm -f conf$$subs.awk +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +_ACAWK +cat >>"\$ac_tmp/subs1.awk" <<_ACAWK && + for (key in S) S_is_set[key] = 1 + FS = "" + +} { - echo "$me: cannot create a temporary directory in ." >&2 - { (exit 1); exit 1; } + line = $ 0 + nfields = split(line, field, "@") + substed = 0 + len = length(field[1]) + for (i = 2; i < nfields; i++) { + key = field[i] + keylen = length(key) + if (S_is_set[key]) { + value = S[key] + line = substr(line, 1, len) "" value "" substr(line, len + keylen + 3) + len += length(value) + length(field[++i]) + substed = 1 + } else + len += 1 + keylen + } + + print line } +_ACAWK +_ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +if sed "s/$ac_cr//" < /dev/null > /dev/null 2>&1; then + sed "s/$ac_cr\$//; s/$ac_cr/$ac_cs_awk_cr/g" +else + cat +fi < "$ac_tmp/subs1.awk" > "$ac_tmp/subs.awk" \ + || as_fn_error $? "could not setup config files machinery" "$LINENO" 5 _ACEOF -cat >>$CONFIG_STATUS <<_ACEOF +# VPATH may cause trouble with some makes, so we remove sole $(srcdir), +# ${srcdir} and @srcdir@ entries from VPATH if srcdir is ".", strip leading and +# trailing colons and then remove the whole line if VPATH becomes empty +# (actually we leave an empty line to preserve line numbers). +if test "x$srcdir" = x.; then + ac_vpsub='/^[ ]*VPATH[ ]*=[ ]*/{ +h +s/// +s/^/:/ +s/[ ]*$/:/ +s/:\$(srcdir):/:/g +s/:\${srcdir}:/:/g +s/:@srcdir@:/:/g +s/^:*// +s/:*$// +x +s/\(=[ ]*\).*/\1/ +G +s/\n// +s/^[^=]*=[ ]*$// +}' +fi -# -# CONFIG_FILES section. -# +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +fi # test -n "$CONFIG_FILES" -# No need to generate the scripts if there are no CONFIG_FILES. -# This happens for instance when ./config.status config.h -if test -n "\$CONFIG_FILES"; then - # Protect against being on the right side of a sed subst in config.status. - sed 's/,@/@@/; s/@,/@@/; s/,;t t\$/@;t 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"invalid tag \`$ac_tag'" "$LINENO" 5;; + :[FH]-) ac_tag=-:-;; + :[FH]*) ac_tag=$ac_tag:$ac_tag.in;; + esac + ac_save_IFS=$IFS + IFS=: + set x $ac_tag + IFS=$ac_save_IFS + shift + ac_file=$1 + shift - cat >>$CONFIG_STATUS <<\_ACEOF - # Split the substitutions into bite-sized pieces for seds with - # small command number limits, like on Digital OSF/1 and HP-UX. - ac_max_sed_lines=48 - ac_sed_frag=1 # Number of current file. - ac_beg=1 # First line for current file. - ac_end=$ac_max_sed_lines # Line after last line for current file. - ac_more_lines=: - ac_sed_cmds= - while $ac_more_lines; do - if test $ac_beg -gt 1; then - sed "1,${ac_beg}d; ${ac_end}q" $tmp/subs.sed >$tmp/subs.frag - else - sed "${ac_end}q" $tmp/subs.sed >$tmp/subs.frag - fi - if test ! -s $tmp/subs.frag; then - ac_more_lines=false - else - # The purpose of the label and of the branching condition is to - # speed up the sed processing (if there are no `@' at all, there - # is no need to browse any of the substitutions). - # These are the two extra sed commands mentioned above. - (echo ':t - /@[a-zA-Z_][a-zA-Z_0-9]*@/!b' && cat $tmp/subs.frag) >$tmp/subs-$ac_sed_frag.sed - if test -z "$ac_sed_cmds"; then - ac_sed_cmds="sed -f $tmp/subs-$ac_sed_frag.sed" - else - ac_sed_cmds="$ac_sed_cmds | sed -f $tmp/subs-$ac_sed_frag.sed" - fi - ac_sed_frag=`expr $ac_sed_frag + 1` - ac_beg=$ac_end - ac_end=`expr $ac_end + $ac_max_sed_lines` + case $ac_mode in + :L) ac_source=$1;; + :[FH]) + ac_file_inputs= + for ac_f + do + case $ac_f in + -) ac_f="$ac_tmp/stdin";; + *) # Look for the file first in the build tree, then in the source tree + # (if the path is not absolute). The absolute path cannot be DOS-style, + # because $ac_f cannot contain `:'. + test -f "$ac_f" || + case $ac_f in + [\\/$]*) false;; + *) test -f "$srcdir/$ac_f" && ac_f="$srcdir/$ac_f";; + esac || + as_fn_error 1 "cannot find input file: \`$ac_f'" "$LINENO" 5;; + esac + case $ac_f in *\'*) ac_f=`$as_echo "$ac_f" | sed "s/'/'\\\\\\\\''/g"`;; esac + as_fn_append ac_file_inputs " '$ac_f'" + done + + # Let's still pretend it is `configure' which instantiates (i.e., don't + # use $as_me), people would be surprised to read: + # /* config.h. Generated by config.status. */ + configure_input='Generated from '` + $as_echo "$*" | sed 's|^[^:]*/||;s|:[^:]*/|, |g' + `' by configure.' + if test x"$ac_file" != x-; then + configure_input="$ac_file. $configure_input" + { $as_echo "$as_me:${as_lineno-$LINENO}: creating $ac_file" >&5 +$as_echo "$as_me: creating $ac_file" >&6;} fi - done - if test -z "$ac_sed_cmds"; then - ac_sed_cmds=cat - fi -fi # test -n "$CONFIG_FILES" + # Neutralize special characters interpreted by sed in replacement strings. + case $configure_input in #( + *\&* | *\|* | *\\* ) + ac_sed_conf_input=`$as_echo "$configure_input" | + sed 's/[\\\\&|]/\\\\&/g'`;; #( + *) ac_sed_conf_input=$configure_input;; + esac -_ACEOF -cat >>$CONFIG_STATUS <<\_ACEOF -for ac_file in : $CONFIG_FILES; do test "x$ac_file" = x: && continue - # Support "outfile[:infile[:infile...]]", defaulting infile="outfile.in". - case $ac_file in - - | *:- | *:-:* ) # input from stdin - cat >$tmp/stdin - ac_file_in=`echo "$ac_file" | sed 's,[^:]*:,,'` - ac_file=`echo "$ac_file" | sed 's,:.*,,'` ;; - *:* ) ac_file_in=`echo "$ac_file" | sed 's,[^:]*:,,'` - ac_file=`echo "$ac_file" | sed 's,:.*,,'` ;; - * ) ac_file_in=$ac_file.in ;; + case $ac_tag in + *:-:* | *:-) cat >"$ac_tmp/stdin" \ + || as_fn_error $? "could not create $ac_file" "$LINENO" 5 ;; + esac + ;; esac - # Compute @srcdir@, @top_srcdir@, and @INSTALL@ for subdirectories. - ac_dir=`(dirname "$ac_file") 2>/dev/null || + ac_dir=`$as_dirname -- "$ac_file" || $as_expr X"$ac_file" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ X"$ac_file" : 'X\(//\)[^/]' \| \ X"$ac_file" : 'X\(//\)$' \| \ - X"$ac_file" : 'X\(/\)' \| \ - . : '\(.\)' 2>/dev/null || -echo X"$ac_file" | - sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ s//\1/; q; } - /^X\(\/\/\)[^/].*/{ s//\1/; q; } - /^X\(\/\/\)$/{ s//\1/; q; } - /^X\(\/\).*/{ s//\1/; q; } - s/.*/./; q'` - { if $as_mkdir_p; then - mkdir -p "$ac_dir" - else - as_dir="$ac_dir" - as_dirs= - while test ! -d "$as_dir"; do - as_dirs="$as_dir $as_dirs" - as_dir=`(dirname "$as_dir") 2>/dev/null || -$as_expr X"$as_dir" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ - X"$as_dir" : 'X\(//\)[^/]' \| \ - X"$as_dir" : 'X\(//\)$' \| \ - X"$as_dir" : 'X\(/\)' \| \ - . : '\(.\)' 2>/dev/null || -echo X"$as_dir" | - sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ s//\1/; q; } - /^X\(\/\/\)[^/].*/{ s//\1/; q; } - /^X\(\/\/\)$/{ s//\1/; q; } - /^X\(\/\).*/{ s//\1/; q; } - s/.*/./; q'` - done - test ! -n "$as_dirs" || mkdir $as_dirs - fi || { { echo "$as_me:$LINENO: error: cannot create directory \"$ac_dir\"" >&5 -echo "$as_me: error: cannot create directory \"$ac_dir\"" >&2;} - { (exit 1); exit 1; }; }; } - + X"$ac_file" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X"$ac_file" | + sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ + s//\1/ + q + } + /^X\(\/\/\)[^/].*/{ + s//\1/ + q + } + /^X\(\/\/\)$/{ + s//\1/ + q + } + /^X\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` + as_dir="$ac_dir"; as_fn_mkdir_p ac_builddir=. -if test "$ac_dir" != .; then - ac_dir_suffix=/`echo "$ac_dir" | sed 's,^\.[\\/],,'` - # A "../" for each directory in $ac_dir_suffix. - ac_top_builddir=`echo "$ac_dir_suffix" | sed 's,/[^\\/]*,../,g'` -else - ac_dir_suffix= ac_top_builddir= -fi +case "$ac_dir" in +.) ac_dir_suffix= ac_top_builddir_sub=. ac_top_build_prefix= ;; +*) + ac_dir_suffix=/`$as_echo "$ac_dir" | sed 's|^\.[\\/]||'` + # A ".." for each directory in $ac_dir_suffix. + ac_top_builddir_sub=`$as_echo "$ac_dir_suffix" | sed 's|/[^\\/]*|/..|g;s|/||'` + case $ac_top_builddir_sub in + "") ac_top_builddir_sub=. ac_top_build_prefix= ;; + *) ac_top_build_prefix=$ac_top_builddir_sub/ ;; + esac ;; +esac +ac_abs_top_builddir=$ac_pwd +ac_abs_builddir=$ac_pwd$ac_dir_suffix +# for backward compatibility: +ac_top_builddir=$ac_top_build_prefix case $srcdir in - .) # No --srcdir option. We are building in place. + .) # We are building in place. ac_srcdir=. - if test -z "$ac_top_builddir"; then - ac_top_srcdir=. - else - ac_top_srcdir=`echo $ac_top_builddir | sed 's,/$,,'` - fi ;; - [\\/]* | ?:[\\/]* ) # Absolute path. + ac_top_srcdir=$ac_top_builddir_sub + ac_abs_top_srcdir=$ac_pwd ;; + [\\/]* | ?:[\\/]* ) # Absolute name. ac_srcdir=$srcdir$ac_dir_suffix; - ac_top_srcdir=$srcdir ;; - *) # Relative path. - ac_srcdir=$ac_top_builddir$srcdir$ac_dir_suffix - ac_top_srcdir=$ac_top_builddir$srcdir ;; + ac_top_srcdir=$srcdir + ac_abs_top_srcdir=$srcdir ;; + *) # Relative name. + ac_srcdir=$ac_top_build_prefix$srcdir$ac_dir_suffix + ac_top_srcdir=$ac_top_build_prefix$srcdir + ac_abs_top_srcdir=$ac_pwd/$srcdir ;; esac +ac_abs_srcdir=$ac_abs_top_srcdir$ac_dir_suffix -# Do not use `cd foo && pwd` to compute absolute paths, because -# the directories may not exist. -case `pwd` in -.) ac_abs_builddir="$ac_dir";; -*) - case "$ac_dir" in - .) ac_abs_builddir=`pwd`;; - [\\/]* | ?:[\\/]* ) ac_abs_builddir="$ac_dir";; - *) ac_abs_builddir=`pwd`/"$ac_dir";; - esac;; -esac -case $ac_abs_builddir in -.) ac_abs_top_builddir=${ac_top_builddir}.;; -*) - case ${ac_top_builddir}. in - .) ac_abs_top_builddir=$ac_abs_builddir;; - [\\/]* | ?:[\\/]* ) ac_abs_top_builddir=${ac_top_builddir}.;; - *) ac_abs_top_builddir=$ac_abs_builddir/${ac_top_builddir}.;; - esac;; -esac -case $ac_abs_builddir in -.) ac_abs_srcdir=$ac_srcdir;; -*) - case $ac_srcdir in - .) ac_abs_srcdir=$ac_abs_builddir;; - [\\/]* | ?:[\\/]* ) ac_abs_srcdir=$ac_srcdir;; - *) ac_abs_srcdir=$ac_abs_builddir/$ac_srcdir;; - esac;; -esac -case $ac_abs_builddir in -.) ac_abs_top_srcdir=$ac_top_srcdir;; -*) - case $ac_top_srcdir in - .) ac_abs_top_srcdir=$ac_abs_builddir;; - [\\/]* | ?:[\\/]* ) ac_abs_top_srcdir=$ac_top_srcdir;; - *) ac_abs_top_srcdir=$ac_abs_builddir/$ac_top_srcdir;; - esac;; -esac + case $ac_mode in + :F) + # + # CONFIG_FILE + # +_ACEOF - if test x"$ac_file" != x-; then - { echo "$as_me:$LINENO: creating $ac_file" >&5 -echo "$as_me: creating $ac_file" >&6;} - rm -f "$ac_file" - fi - # Let's still pretend it is `configure' which instantiates (i.e., don't - # use $as_me), people would be surprised to read: - # /* config.h. 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" - fi - configure_input=$configure_input"Generated from `echo $ac_file_in | - sed 's,.*/,,'` by configure." - - # First look for the input files in the build tree, otherwise in the - # src tree. - ac_file_inputs=`IFS=: - for f in $ac_file_in; do - case $f in - -) echo $tmp/stdin ;; - [\\/$]*) - # Absolute (can't be DOS-style, as IFS=:) - test -f "$f" || { { echo "$as_me:$LINENO: error: cannot find input file: $f" >&5 -echo "$as_me: error: cannot find input file: $f" >&2;} - { (exit 1); exit 1; }; } - echo "$f";; - *) # Relative - if test -f "$f"; then - # Build tree - echo "$f" - elif test -f "$srcdir/$f"; then - # Source tree - echo "$srcdir/$f" - else - # /dev/null tree - { { echo "$as_me:$LINENO: error: cannot find input file: $f" >&5 -echo "$as_me: error: cannot find input file: $f" >&2;} - { (exit 1); exit 1; }; } - fi;; - esac - done` || { (exit 1); exit 1; } +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +# If the template does not know about datarootdir, expand it. +# FIXME: This hack should be removed a few years after 2.60. +ac_datarootdir_hack=; ac_datarootdir_seen= +ac_sed_dataroot=' +/datarootdir/ { + p + q +} +/@datadir@/p +/@docdir@/p +/@infodir@/p +/@localedir@/p +/@mandir@/p' +case `eval "sed -n \"\$ac_sed_dataroot\" $ac_file_inputs"` in +*datarootdir*) ac_datarootdir_seen=yes;; +*@datadir@*|*@docdir@*|*@infodir@*|*@localedir@*|*@mandir@*) + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: $ac_file_inputs seems to ignore the --datarootdir setting" >&5 +$as_echo "$as_me: WARNING: $ac_file_inputs seems to ignore the --datarootdir setting" >&2;} +_ACEOF +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 + ac_datarootdir_hack=' + s&@datadir@&$datadir&g + s&@docdir@&$docdir&g + s&@infodir@&$infodir&g + s&@localedir@&$localedir&g + s&@mandir@&$mandir&g + s&\\\${datarootdir}&$datarootdir&g' ;; +esac _ACEOF -cat >>$CONFIG_STATUS <<_ACEOF - sed "$ac_vpsub + +# Neutralize VPATH when `$srcdir' = `.'. +# Shell code in configure.ac might set extrasub. +# FIXME: do we really want to maintain this feature? +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +ac_sed_extra="$ac_vpsub $extrasub _ACEOF -cat >>$CONFIG_STATUS <<\_ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 :t /@[a-zA-Z_][a-zA-Z_0-9]*@/!b -s,@configure_input@,$configure_input,;t t -s,@srcdir@,$ac_srcdir,;t t -s,@abs_srcdir@,$ac_abs_srcdir,;t t -s,@top_srcdir@,$ac_top_srcdir,;t t -s,@abs_top_srcdir@,$ac_abs_top_srcdir,;t t -s,@builddir@,$ac_builddir,;t t -s,@abs_builddir@,$ac_abs_builddir,;t t -s,@top_builddir@,$ac_top_builddir,;t t -s,@abs_top_builddir@,$ac_abs_top_builddir,;t t -" $ac_file_inputs | (eval "$ac_sed_cmds") >$tmp/out - rm -f $tmp/stdin - if test x"$ac_file" != x-; then - mv $tmp/out $ac_file - else - cat $tmp/out - rm -f $tmp/out - fi +s|@configure_input@|$ac_sed_conf_input|;t t +s&@top_builddir@&$ac_top_builddir_sub&;t t +s&@top_build_prefix@&$ac_top_build_prefix&;t t +s&@srcdir@&$ac_srcdir&;t t +s&@abs_srcdir@&$ac_abs_srcdir&;t t +s&@top_srcdir@&$ac_top_srcdir&;t t +s&@abs_top_srcdir@&$ac_abs_top_srcdir&;t t +s&@builddir@&$ac_builddir&;t t +s&@abs_builddir@&$ac_abs_builddir&;t t +s&@abs_top_builddir@&$ac_abs_top_builddir&;t t +$ac_datarootdir_hack +" +eval sed \"\$ac_sed_extra\" "$ac_file_inputs" | $AWK -f "$ac_tmp/subs.awk" \ + >$ac_tmp/out || as_fn_error $? "could not create $ac_file" "$LINENO" 5 + +test -z "$ac_datarootdir_hack$ac_datarootdir_seen" && + { ac_out=`sed -n '/\${datarootdir}/p' "$ac_tmp/out"`; test -n "$ac_out"; } && + { ac_out=`sed -n '/^[ ]*datarootdir[ ]*:*=/p' \ + "$ac_tmp/out"`; test -z "$ac_out"; } && + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: $ac_file contains a reference to the variable \`datarootdir' +which seems to be undefined. Please make sure it is defined" >&5 +$as_echo "$as_me: WARNING: $ac_file contains a reference to the variable \`datarootdir' +which seems to be undefined. Please make sure it is defined" >&2;} + + rm -f "$ac_tmp/stdin" + case $ac_file in + -) cat "$ac_tmp/out" && rm -f "$ac_tmp/out";; + *) rm -f "$ac_file" && mv "$ac_tmp/out" "$ac_file";; + esac \ + || as_fn_error $? "could not create $ac_file" "$LINENO" 5 + ;; + -done -_ACEOF -cat >>$CONFIG_STATUS <<\_ACEOF + esac + +done # for ac_tag + -{ (exit 0); exit 0; } +as_fn_exit 0 _ACEOF -chmod +x $CONFIG_STATUS ac_clean_files=$ac_clean_files_save +test $ac_write_fail = 0 || + as_fn_error $? "write failure creating $CONFIG_STATUS" "$LINENO" 5 + # configure is writing to config.log, and then calls config.status. # config.status does its own redirection, appending to config.log. @@ -6290,7 +6453,11 @@ if test "$no_create" != yes; then exec 5>>config.log # Use ||, not &&, to avoid exiting from the if with $? = 1, which # would make configure fail if this is the last instruction. - $ac_cs_success || { (exit 1); exit 1; } + $ac_cs_success || as_fn_exit 1 +fi +if test -n "$ac_unrecognized_opts" && test "$enable_option_checking" != no; then + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: unrecognized options: $ac_unrecognized_opts" >&5 +$as_echo "$as_me: WARNING: unrecognized options: $ac_unrecognized_opts" >&2;} fi diff --git a/win/configure.in b/win/configure.in index a72b993..7405bf4 100644 --- a/win/configure.in +++ b/win/configure.in @@ -4,17 +4,17 @@ # to configure the system for the local environment. AC_INIT(../generic/tcl.h) -AC_PREREQ(2.59) +AC_PREREQ(2.69) # The following define is needed when building with Cygwin since newer # versions of autoconf incorrectly set SHELL to /bin/bash instead of # /bin/sh. The bash shell seems to suffer from some strange failures. SHELL=/bin/sh -TCL_VERSION=8.6 +TCL_VERSION=8.7 TCL_MAJOR_VERSION=8 -TCL_MINOR_VERSION=6 -TCL_PATCH_LEVEL=".5" +TCL_MINOR_VERSION=7 +TCL_PATCH_LEVEL="a0" VER=$TCL_MAJOR_VERSION$TCL_MINOR_VERSION TCL_DDE_VERSION=1.4 diff --git a/win/makefile.bc b/win/makefile.bc index f5b5acc..bee61d7 100644 --- a/win/makefile.bc +++ b/win/makefile.bc @@ -123,8 +123,8 @@ CFG_ENCODING = \"cp1252\" NAMEPREFIX = tcl STUBPREFIX = $(NAMEPREFIX)stub -DOTVERSION = 8.6 -VERSION = 86 +DOTVERSION = 8.7 +VERSION = 87 DDEVERSION = 14 DDEDOTVERSION = 1.4 diff --git a/win/tcl.m4 b/win/tcl.m4 index 84f0dff..a75a936 100644 --- a/win/tcl.m4 +++ b/win/tcl.m4 @@ -1126,13 +1126,13 @@ AC_DEFUN([SC_CONFIG_CFLAGS], [ #------------------------------------------------------------------------ AC_DEFUN([SC_WITH_TCL], [ - if test -d ../../tcl8.6$1/win; then - TCL_BIN_DEFAULT=../../tcl8.6$1/win + if test -d ../../tcl8.7$1/win; then + TCL_BIN_DEFAULT=../../tcl8.7$1/win else - TCL_BIN_DEFAULT=../../tcl8.6/win + TCL_BIN_DEFAULT=../../tcl8.7/win fi - AC_ARG_WITH(tcl, [ --with-tcl=DIR use Tcl 8.6 binaries from DIR], + AC_ARG_WITH(tcl, [ --with-tcl=DIR use Tcl 8.7 binaries from DIR], TCL_BIN_DIR=$withval, TCL_BIN_DIR=`cd $TCL_BIN_DEFAULT; pwd`) if test ! -d $TCL_BIN_DIR; then AC_MSG_ERROR(Tcl directory $TCL_BIN_DIR does not exist) -- cgit v0.12 From 90dc157b45fda2c7a421f44e805218830c6f27ef Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 4 Mar 2016 13:13:21 +0000 Subject: =?UTF-8?q?Fix=20gcc=205.3=20warning:=20In=20function=20=E2=80=98N?= =?UTF-8?q?RInterpCmd=E2=80=99:=20tclInterp.c:726:5:=20warning:=20assuming?= =?UTF-8?q?=20signed=20overflow=20does=20not=20occur=20when=20assuming=20t?= =?UTF-8?q?hat=20(X=20+=20c)=20<=20X=20is=20always=20false=20[-Wstrict-ove?= =?UTF-8?q?rflow]=20=20=20if=20((i=20+=202)=20<=20objc)=20{=20Remove=20som?= =?UTF-8?q?e=20excessive=20spacing?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- generic/tclInterp.c | 2 +- generic/tclTest.c | 2 +- generic/tclThreadTest.c | 4 ++-- 3 files changed, 4 insertions(+), 4 deletions(-) diff --git a/generic/tclInterp.c b/generic/tclInterp.c index 5c94461..cd0dc18 100644 --- a/generic/tclInterp.c +++ b/generic/tclInterp.c @@ -723,7 +723,7 @@ NRInterpCmd( } endOfForLoop: - if ((i + 2) < objc) { + if (i < objc - 2) { Tcl_WrongNumArgs(interp, 2, objv, "?-unwind? ?--? ?path? ?result?"); return TCL_ERROR; diff --git a/generic/tclTest.c b/generic/tclTest.c index 9794f59..4695ab5 100644 --- a/generic/tclTest.c +++ b/generic/tclTest.c @@ -6891,7 +6891,7 @@ TestNREUnwind( * Insure that callbacks effectively run at the proper level during the * unwinding of the NRE stack. */ - + Tcl_NRAddCallback(interp, NREUnwind_callback, INT2PTR(-1), INT2PTR(-1), INT2PTR(-1), NULL); return TCL_OK; diff --git a/generic/tclThreadTest.c b/generic/tclThreadTest.c index 75f8a15..9c66313 100644 --- a/generic/tclThreadTest.c +++ b/generic/tclThreadTest.c @@ -834,7 +834,7 @@ ThreadSend( if (threadId == Tcl_GetCurrentThread()) { Tcl_MutexUnlock(&threadMutex); - return Tcl_EvalEx(interp, script,-1,TCL_EVAL_GLOBAL); + return Tcl_EvalEx(interp, script,-1,TCL_EVAL_GLOBAL); } /* @@ -1029,7 +1029,7 @@ ThreadEventProc( Tcl_Preserve(interp); Tcl_ResetResult(interp); Tcl_CreateThreadExitHandler(ThreadFreeProc, threadEventPtr->script); - code = Tcl_EvalEx(interp, threadEventPtr->script,-1,TCL_EVAL_GLOBAL); + code = Tcl_EvalEx(interp, threadEventPtr->script,-1,TCL_EVAL_GLOBAL); Tcl_DeleteThreadExitHandler(ThreadFreeProc, threadEventPtr->script); if (code != TCL_OK) { errorCode = Tcl_GetVar(interp, "errorCode", TCL_GLOBAL_ONLY); -- cgit v0.12 From 59cd185389899d1a0c9ac1c1eee90a23cae887e2 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 4 Mar 2016 13:15:08 +0000 Subject: =?UTF-8?q?(cherry-pick):=20Fix=20gcc=205.3=20warning:=20In=20func?= =?UTF-8?q?tion=20=E2=80=98NRInterpCmd=E2=80=99:=20tclInterp.c:726:5:=20wa?= =?UTF-8?q?rning:=20assuming=20signed=20overflow=20does=20not=20occur=20wh?= =?UTF-8?q?en=20assuming=20that=20(X=20+=20c)=20<=20X=20is=20always=20fals?= =?UTF-8?q?e=20[-Wstrict-overflow]=20=20=20if=20((i=20+=202)=20<=20objc)?= =?UTF-8?q?=20{=20Remove=20some=20excessive=20spacing?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- generic/tclInterp.c | 2 +- generic/tclTest.c | 2 +- generic/tclThreadTest.c | 4 ++-- 3 files changed, 4 insertions(+), 4 deletions(-) diff --git a/generic/tclInterp.c b/generic/tclInterp.c index 5c94461..cd0dc18 100644 --- a/generic/tclInterp.c +++ b/generic/tclInterp.c @@ -723,7 +723,7 @@ NRInterpCmd( } endOfForLoop: - if ((i + 2) < objc) { + if (i < objc - 2) { Tcl_WrongNumArgs(interp, 2, objv, "?-unwind? ?--? ?path? ?result?"); return TCL_ERROR; diff --git a/generic/tclTest.c b/generic/tclTest.c index 9794f59..4695ab5 100644 --- a/generic/tclTest.c +++ b/generic/tclTest.c @@ -6891,7 +6891,7 @@ TestNREUnwind( * Insure that callbacks effectively run at the proper level during the * unwinding of the NRE stack. */ - + Tcl_NRAddCallback(interp, NREUnwind_callback, INT2PTR(-1), INT2PTR(-1), INT2PTR(-1), NULL); return TCL_OK; diff --git a/generic/tclThreadTest.c b/generic/tclThreadTest.c index 75f8a15..9c66313 100644 --- a/generic/tclThreadTest.c +++ b/generic/tclThreadTest.c @@ -834,7 +834,7 @@ ThreadSend( if (threadId == Tcl_GetCurrentThread()) { Tcl_MutexUnlock(&threadMutex); - return Tcl_EvalEx(interp, script,-1,TCL_EVAL_GLOBAL); + return Tcl_EvalEx(interp, script,-1,TCL_EVAL_GLOBAL); } /* @@ -1029,7 +1029,7 @@ ThreadEventProc( Tcl_Preserve(interp); Tcl_ResetResult(interp); Tcl_CreateThreadExitHandler(ThreadFreeProc, threadEventPtr->script); - code = Tcl_EvalEx(interp, threadEventPtr->script,-1,TCL_EVAL_GLOBAL); + code = Tcl_EvalEx(interp, threadEventPtr->script,-1,TCL_EVAL_GLOBAL); Tcl_DeleteThreadExitHandler(ThreadFreeProc, threadEventPtr->script); if (code != TCL_OK) { errorCode = Tcl_GetVar(interp, "errorCode", TCL_GLOBAL_ONLY); -- cgit v0.12 From 44c8b6c3e8a3570b24b2daca27b2f74f68e3ebd2 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 7 Mar 2016 08:37:01 +0000 Subject: Fix version number in .project file --- .project | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.project b/.project index 358cc74..a9d6ecf 100644 --- a/.project +++ b/.project @@ -1,6 +1,6 @@ - tcl8.6 + tcl8.7 -- cgit v0.12 From 7f848a3e85d288409cc73c957717a2a9f83ea47a Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 8 Mar 2016 13:44:16 +0000 Subject: configure.in -> configure.ac --- generic/tcl.h | 4 +- macosx/GNUmakefile | 2 +- macosx/Tcl.xcode/project.pbxproj | 16 +- macosx/Tcl.xcodeproj/project.pbxproj | 16 +- macosx/configure.ac | 2 +- tools/configure | 2949 +++++++++++++++++++++------------- tools/configure.ac | 35 + tools/configure.in | 35 - tools/tcltk-man2html.tcl | 6 +- unix/Makefile.in | 14 +- unix/configure.ac | 998 ++++++++++++ unix/configure.in | 998 ------------ unix/tclConfig.sh.in | 2 +- win/configure.ac | 464 ++++++ win/configure.in | 464 ------ win/tcl.dsp | 2 +- win/tclConfig.sh.in | 2 +- 17 files changed, 3352 insertions(+), 2657 deletions(-) create mode 100644 tools/configure.ac delete mode 100644 tools/configure.in create mode 100644 unix/configure.ac delete mode 100644 unix/configure.in create mode 100644 win/configure.ac delete mode 100644 win/configure.in diff --git a/generic/tcl.h b/generic/tcl.h index 905a51d..58ba7e5 100644 --- a/generic/tcl.h +++ b/generic/tcl.h @@ -38,8 +38,8 @@ extern "C" { * update the version numbers: * * library/init.tcl (1 LOC patch) - * unix/configure.in (2 LOC Major, 2 LOC minor, 1 LOC patch) - * win/configure.in (as above) + * unix/configure.ac (2 LOC Major, 2 LOC minor, 1 LOC patch) + * win/configure.ac (as above) * win/tcl.m4 (not patchlevel) * win/makefile.bc (not patchlevel) 2 LOC * README (sections 0 and 2, with and without separator) diff --git a/macosx/GNUmakefile b/macosx/GNUmakefile index 54eea8e..1d26a7a 100644 --- a/macosx/GNUmakefile +++ b/macosx/GNUmakefile @@ -92,7 +92,7 @@ PROJECT := tcl PRODUCT_NAME := Tcl UNIX_DIR := ${CURDIR}/../unix -VERSION := $(shell awk -F= '/^TCL_VERSION/ {print $$2; nextfile}' ${UNIX_DIR}/configure.in) +VERSION := $(shell awk -F= '/^TCL_VERSION/ {print $$2; nextfile}' ${UNIX_DIR}/configure.ac) TCLSH := tclsh${VERSION} BUILD_TARGET := all tcltest diff --git a/macosx/Tcl.xcode/project.pbxproj b/macosx/Tcl.xcode/project.pbxproj index a28b8db..a99afc5 100644 --- a/macosx/Tcl.xcode/project.pbxproj +++ b/macosx/Tcl.xcode/project.pbxproj @@ -769,7 +769,7 @@ F96D43CF08F272B7004A47F5 /* winTime.test */ = {isa = PBXFileReference; explicitFileType = text.script; fileEncoding = 4; path = winTime.test; sourceTree = ""; }; F96D43D108F272B8004A47F5 /* checkLibraryDoc.tcl */ = {isa = PBXFileReference; explicitFileType = text.script; fileEncoding = 4; path = checkLibraryDoc.tcl; sourceTree = ""; }; F96D43D208F272B8004A47F5 /* configure */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = text.script.sh; path = configure; sourceTree = ""; }; - F96D43D308F272B8004A47F5 /* configure.in */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = configure.in; sourceTree = ""; }; + F96D43D308F272B8004A47F5 /* configure.ac */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = configure.ac; sourceTree = ""; }; F96D442408F272B8004A47F5 /* fix_tommath_h.tcl */ = {isa = PBXFileReference; explicitFileType = text.script; fileEncoding = 4; path = fix_tommath_h.tcl; sourceTree = ""; }; F96D442508F272B8004A47F5 /* genStubs.tcl */ = {isa = PBXFileReference; explicitFileType = text.script; fileEncoding = 4; path = genStubs.tcl; sourceTree = ""; }; F96D442708F272B8004A47F5 /* index.tcl */ = {isa = PBXFileReference; explicitFileType = text.script; fileEncoding = 4; path = index.tcl; sourceTree = ""; }; @@ -792,7 +792,7 @@ F96D443C08F272B9004A47F5 /* uniParse.tcl */ = {isa = PBXFileReference; explicitFileType = text.script; fileEncoding = 4; path = uniParse.tcl; sourceTree = ""; }; F96D444008F272B9004A47F5 /* aclocal.m4 */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = aclocal.m4; sourceTree = ""; }; F96D444108F272B9004A47F5 /* configure */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = text.script.sh; path = configure; sourceTree = ""; }; - F96D444208F272B9004A47F5 /* configure.in */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = configure.in; sourceTree = ""; }; + F96D444208F272B9004A47F5 /* configure.ac */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = configure.ac; sourceTree = ""; }; F96D444408F272B9004A47F5 /* Makefile.in */ = {isa = PBXFileReference; explicitFileType = sourcecode.make; fileEncoding = 4; path = Makefile.in; sourceTree = ""; }; F96D444508F272B9004A47F5 /* pkga.c */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = sourcecode.c.c; path = pkga.c; sourceTree = ""; }; F96D444608F272B9004A47F5 /* pkgb.c */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = sourcecode.c.c; path = pkgb.c; sourceTree = ""; }; @@ -836,7 +836,7 @@ F96D447208F272BA004A47F5 /* cat.c */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = sourcecode.c.c; path = cat.c; sourceTree = ""; }; F96D447308F272BA004A47F5 /* coffbase.txt */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = text; path = coffbase.txt; sourceTree = ""; }; F96D447408F272BA004A47F5 /* configure */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = text.script.sh; path = configure; sourceTree = ""; }; - F96D447508F272BA004A47F5 /* configure.in */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = configure.in; sourceTree = ""; }; + F96D447508F272BA004A47F5 /* configure.ac */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = configure.ac; sourceTree = ""; }; F96D447608F272BA004A47F5 /* makefile.bc */ = {isa = PBXFileReference; explicitFileType = sourcecode.make; fileEncoding = 4; path = makefile.bc; sourceTree = ""; }; F96D447708F272BA004A47F5 /* Makefile.in */ = {isa = PBXFileReference; explicitFileType = sourcecode.make; fileEncoding = 4; path = Makefile.in; sourceTree = ""; }; F96D447808F272BA004A47F5 /* makefile.vc */ = {isa = PBXFileReference; explicitFileType = sourcecode.make; fileEncoding = 4; path = makefile.vc; sourceTree = ""; }; @@ -1666,7 +1666,7 @@ children = ( F96D43D108F272B8004A47F5 /* checkLibraryDoc.tcl */, F96D43D208F272B8004A47F5 /* configure */, - F96D43D308F272B8004A47F5 /* configure.in */, + F96D43D308F272B8004A47F5 /* configure.ac */, F96D442408F272B8004A47F5 /* fix_tommath_h.tcl */, F96D442508F272B8004A47F5 /* genStubs.tcl */, F96D442708F272B8004A47F5 /* index.tcl */, @@ -1697,7 +1697,7 @@ children = ( F96D444008F272B9004A47F5 /* aclocal.m4 */, F96D444108F272B9004A47F5 /* configure */, - F96D444208F272B9004A47F5 /* configure.in */, + F96D444208F272B9004A47F5 /* configure.ac */, F96D444308F272B9004A47F5 /* dltest */, F96D444D08F272B9004A47F5 /* install-sh */, F96D444E08F272B9004A47F5 /* installManPage */, @@ -1758,7 +1758,7 @@ F96D447208F272BA004A47F5 /* cat.c */, F96D447308F272BA004A47F5 /* coffbase.txt */, F96D447408F272BA004A47F5 /* configure */, - F96D447508F272BA004A47F5 /* configure.in */, + F96D447508F272BA004A47F5 /* configure.ac */, F96D447608F272BA004A47F5 /* makefile.bc */, F96D447708F272BA004A47F5 /* Makefile.in */, F96D447808F272BA004A47F5 /* makefile.vc */, @@ -1946,7 +1946,7 @@ ); inputPaths = ( "$(TCL_SRCROOT)/macosx/configure.ac", - "$(TCL_SRCROOT)/unix/configure.in", + "$(TCL_SRCROOT)/unix/configure.ac", "$(TCL_SRCROOT)/unix/tcl.m4", "$(TCL_SRCROOT)/unix/aclocal.m4", "$(TCL_SRCROOT)/unix/tclConfig.sh.in", @@ -1959,7 +1959,7 @@ ); runOnlyForDeploymentPostprocessing = 0; shellPath = /bin/bash; - shellScript = "## tcl configure shell script phase\n\ncd \"${TCL_SRCROOT}\"/macosx &&\nif [ configure.ac -nt configure -o ../unix/configure.in -nt configure -o ../unix/tcl.m4 -nt configure -o ../unix/aclocal.m4 -nt configure ]; then\n echo \"Running autoconf & autoheader in tcl/macosx\"\n rm -rf autom4te.cache\n ${AUTOCONF:-${DEVELOPER_DIR}/usr/bin/autoconf} && ${AUTOHEADER:-${DEVELOPER_DIR}/usr/bin/autoheader} || exit $?\n rm -rf autom4te.cache\nfi\n\ncd \"${DERIVED_FILE_DIR}\" && mkdir -p tcl && cd tcl &&\nif [ \"${TCL_SRCROOT}\"/macosx/configure -nt config.status ]; then\n echo \"Configuring Tcl\"\n CC=$(xcrun -find ${GCC} || echo ${GCC})\n \"${TCL_SRCROOT}\"/macosx/configure --cache-file=../config.cache --prefix=${PREFIX} --bindir=${BINDIR} --libdir=${LIBDIR} --mandir=${MANDIR} --includedir=${INCLUDEDIR} --disable-shared CC=${CC} LD=${CC} ${CONFIGURE_ARGS}\nelse\n ./config.status\nfi\n"; + shellScript = "## tcl configure shell script phase\n\ncd \"${TCL_SRCROOT}\"/macosx &&\nif [ configure.ac -nt configure -o ../unix/configure.ac -nt configure -o ../unix/tcl.m4 -nt configure -o ../unix/aclocal.m4 -nt configure ]; then\n echo \"Running autoconf & autoheader in tcl/macosx\"\n rm -rf autom4te.cache\n ${AUTOCONF:-${DEVELOPER_DIR}/usr/bin/autoconf} && ${AUTOHEADER:-${DEVELOPER_DIR}/usr/bin/autoheader} || exit $?\n rm -rf autom4te.cache\nfi\n\ncd \"${DERIVED_FILE_DIR}\" && mkdir -p tcl && cd tcl &&\nif [ \"${TCL_SRCROOT}\"/macosx/configure -nt config.status ]; then\n echo \"Configuring Tcl\"\n CC=$(xcrun -find ${GCC} || echo ${GCC})\n \"${TCL_SRCROOT}\"/macosx/configure --cache-file=../config.cache --prefix=${PREFIX} --bindir=${BINDIR} --libdir=${LIBDIR} --mandir=${MANDIR} --includedir=${INCLUDEDIR} --disable-shared CC=${CC} LD=${CC} ${CONFIGURE_ARGS}\nelse\n ./config.status\nfi\n"; showEnvVarsInLog = 0; }; /* End PBXShellScriptBuildPhase section */ diff --git a/macosx/Tcl.xcodeproj/project.pbxproj b/macosx/Tcl.xcodeproj/project.pbxproj index 7c0d083..393fd31 100644 --- a/macosx/Tcl.xcodeproj/project.pbxproj +++ b/macosx/Tcl.xcodeproj/project.pbxproj @@ -769,7 +769,7 @@ F96D43CF08F272B7004A47F5 /* winTime.test */ = {isa = PBXFileReference; explicitFileType = text.script; fileEncoding = 4; path = winTime.test; sourceTree = ""; }; F96D43D108F272B8004A47F5 /* checkLibraryDoc.tcl */ = {isa = PBXFileReference; explicitFileType = text.script; fileEncoding = 4; path = checkLibraryDoc.tcl; sourceTree = ""; }; F96D43D208F272B8004A47F5 /* configure */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = text.script.sh; path = configure; sourceTree = ""; }; - F96D43D308F272B8004A47F5 /* configure.in */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = configure.in; sourceTree = ""; }; + F96D43D308F272B8004A47F5 /* configure.ac */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = configure.ac; sourceTree = ""; }; F96D442408F272B8004A47F5 /* fix_tommath_h.tcl */ = {isa = PBXFileReference; explicitFileType = text.script; fileEncoding = 4; path = fix_tommath_h.tcl; sourceTree = ""; }; F96D442508F272B8004A47F5 /* genStubs.tcl */ = {isa = PBXFileReference; explicitFileType = text.script; fileEncoding = 4; path = genStubs.tcl; sourceTree = ""; }; F96D442708F272B8004A47F5 /* index.tcl */ = {isa = PBXFileReference; explicitFileType = text.script; fileEncoding = 4; path = index.tcl; sourceTree = ""; }; @@ -792,7 +792,7 @@ F96D443C08F272B9004A47F5 /* uniParse.tcl */ = {isa = PBXFileReference; explicitFileType = text.script; fileEncoding = 4; path = uniParse.tcl; sourceTree = ""; }; F96D444008F272B9004A47F5 /* aclocal.m4 */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = aclocal.m4; sourceTree = ""; }; F96D444108F272B9004A47F5 /* configure */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = text.script.sh; path = configure; sourceTree = ""; }; - F96D444208F272B9004A47F5 /* configure.in */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = configure.in; sourceTree = ""; }; + F96D444208F272B9004A47F5 /* configure.ac */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = configure.ac; sourceTree = ""; }; F96D444408F272B9004A47F5 /* Makefile.in */ = {isa = PBXFileReference; explicitFileType = sourcecode.make; fileEncoding = 4; path = Makefile.in; sourceTree = ""; }; F96D444508F272B9004A47F5 /* pkga.c */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = sourcecode.c.c; path = pkga.c; sourceTree = ""; }; F96D444608F272B9004A47F5 /* pkgb.c */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = sourcecode.c.c; path = pkgb.c; sourceTree = ""; }; @@ -836,7 +836,7 @@ F96D447208F272BA004A47F5 /* cat.c */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = sourcecode.c.c; path = cat.c; sourceTree = ""; }; F96D447308F272BA004A47F5 /* coffbase.txt */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = text; path = coffbase.txt; sourceTree = ""; }; F96D447408F272BA004A47F5 /* configure */ = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = text.script.sh; path = configure; sourceTree = ""; }; - F96D447508F272BA004A47F5 /* configure.in */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = configure.in; sourceTree = ""; }; + F96D447508F272BA004A47F5 /* configure.ac */ = {isa = PBXFileReference; explicitFileType = text.script.sh; fileEncoding = 4; path = configure.ac; sourceTree = ""; }; F96D447608F272BA004A47F5 /* makefile.bc */ = {isa = PBXFileReference; explicitFileType = sourcecode.make; fileEncoding = 4; path = makefile.bc; sourceTree = ""; }; F96D447708F272BA004A47F5 /* Makefile.in */ = {isa = PBXFileReference; explicitFileType = sourcecode.make; fileEncoding = 4; path = Makefile.in; sourceTree = ""; }; F96D447808F272BA004A47F5 /* makefile.vc */ = {isa = PBXFileReference; explicitFileType = sourcecode.make; fileEncoding = 4; path = makefile.vc; sourceTree = ""; }; @@ -1666,7 +1666,7 @@ children = ( F96D43D108F272B8004A47F5 /* checkLibraryDoc.tcl */, F96D43D208F272B8004A47F5 /* configure */, - F96D43D308F272B8004A47F5 /* configure.in */, + F96D43D308F272B8004A47F5 /* configure.ac */, F96D442408F272B8004A47F5 /* fix_tommath_h.tcl */, F96D442508F272B8004A47F5 /* genStubs.tcl */, F96D442708F272B8004A47F5 /* index.tcl */, @@ -1697,7 +1697,7 @@ children = ( F96D444008F272B9004A47F5 /* aclocal.m4 */, F96D444108F272B9004A47F5 /* configure */, - F96D444208F272B9004A47F5 /* configure.in */, + F96D444208F272B9004A47F5 /* configure.ac */, F96D444308F272B9004A47F5 /* dltest */, F96D444D08F272B9004A47F5 /* install-sh */, F96D444E08F272B9004A47F5 /* installManPage */, @@ -1758,7 +1758,7 @@ F96D447208F272BA004A47F5 /* cat.c */, F96D447308F272BA004A47F5 /* coffbase.txt */, F96D447408F272BA004A47F5 /* configure */, - F96D447508F272BA004A47F5 /* configure.in */, + F96D447508F272BA004A47F5 /* configure.ac */, F96D447608F272BA004A47F5 /* makefile.bc */, F96D447708F272BA004A47F5 /* Makefile.in */, F96D447808F272BA004A47F5 /* makefile.vc */, @@ -1946,7 +1946,7 @@ ); inputPaths = ( "$(TCL_SRCROOT)/macosx/configure.ac", - "$(TCL_SRCROOT)/unix/configure.in", + "$(TCL_SRCROOT)/unix/configure.ac", "$(TCL_SRCROOT)/unix/tcl.m4", "$(TCL_SRCROOT)/unix/aclocal.m4", "$(TCL_SRCROOT)/unix/tclConfig.sh.in", @@ -1959,7 +1959,7 @@ ); runOnlyForDeploymentPostprocessing = 0; shellPath = /bin/bash; - shellScript = "## tcl configure shell script phase\n\ncd \"${TCL_SRCROOT}\"/macosx &&\nif [ configure.ac -nt configure -o ../unix/configure.in -nt configure -o ../unix/tcl.m4 -nt configure -o ../unix/aclocal.m4 -nt configure ]; then\n echo \"Running autoconf & autoheader in tcl/macosx\"\n rm -rf autom4te.cache\n ${AUTOCONF:-${DEVELOPER_DIR}/usr/bin/autoconf} && ${AUTOHEADER:-${DEVELOPER_DIR}/usr/bin/autoheader} || exit $?\n rm -rf autom4te.cache\nfi\n\ncd \"${DERIVED_FILE_DIR}\" && mkdir -p tcl && cd tcl &&\nif [ \"${TCL_SRCROOT}\"/macosx/configure -nt config.status ]; then\n echo \"Configuring Tcl\"\n CC=$(xcrun -find ${GCC} || echo ${GCC})\n \"${TCL_SRCROOT}\"/macosx/configure --cache-file=../config.cache --prefix=${PREFIX} --bindir=${BINDIR} --libdir=${LIBDIR} --mandir=${MANDIR} --includedir=${INCLUDEDIR} --disable-shared CC=${CC} LD=${CC} ${CONFIGURE_ARGS}\nelse\n ./config.status\nfi\n"; + shellScript = "## tcl configure shell script phase\n\ncd \"${TCL_SRCROOT}\"/macosx &&\nif [ configure.ac -nt configure -o ../unix/configure.ac -nt configure -o ../unix/tcl.m4 -nt configure -o ../unix/aclocal.m4 -nt configure ]; then\n echo \"Running autoconf & autoheader in tcl/macosx\"\n rm -rf autom4te.cache\n ${AUTOCONF:-${DEVELOPER_DIR}/usr/bin/autoconf} && ${AUTOHEADER:-${DEVELOPER_DIR}/usr/bin/autoheader} || exit $?\n rm -rf autom4te.cache\nfi\n\ncd \"${DERIVED_FILE_DIR}\" && mkdir -p tcl && cd tcl &&\nif [ \"${TCL_SRCROOT}\"/macosx/configure -nt config.status ]; then\n echo \"Configuring Tcl\"\n CC=$(xcrun -find ${GCC} || echo ${GCC})\n \"${TCL_SRCROOT}\"/macosx/configure --cache-file=../config.cache --prefix=${PREFIX} --bindir=${BINDIR} --libdir=${LIBDIR} --mandir=${MANDIR} --includedir=${INCLUDEDIR} --disable-shared CC=${CC} LD=${CC} ${CONFIGURE_ARGS}\nelse\n ./config.status\nfi\n"; showEnvVarsInLog = 0; }; /* End PBXShellScriptBuildPhase section */ diff --git a/macosx/configure.ac b/macosx/configure.ac index f7a8bb3..6b1e3ac 100644 --- a/macosx/configure.ac +++ b/macosx/configure.ac @@ -8,4 +8,4 @@ dnl include the configure sources from ../unix: m4_include(../unix/aclocal.m4) m4_define(SC_USE_CONFIG_HEADERS) -m4_include(../unix/configure.in) +m4_include(../unix/configure.ac) diff --git a/tools/configure b/tools/configure index 3d30039..7c4d3db 100755 --- a/tools/configure +++ b/tools/configure @@ -1,81 +1,458 @@ #! /bin/sh # Guess values for system-dependent variables and create Makefiles. -# Generated by GNU Autoconf 2.59. +# Generated by GNU Autoconf 2.69. +# +# +# Copyright (C) 1992-1996, 1998-2012 Free Software Foundation, Inc. +# # -# Copyright (C) 2003 Free Software Foundation, Inc. # This configure script is free software; the Free Software Foundation # gives unlimited permission to copy, distribute and modify it. -## --------------------- ## -## M4sh Initialization. ## -## --------------------- ## +## -------------------- ## +## M4sh Initialization. ## +## -------------------- ## -# Be Bourne compatible -if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then +# Be more Bourne compatible +DUALCASE=1; export DUALCASE # for MKS sh +if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then : emulate sh NULLCMD=: - # Zsh 3.x and 4.x performs word splitting on ${1+"$@"}, which + # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which # is contrary to our usage. Disable this feature. alias -g '${1+"$@"}'='"$@"' -elif test -n "${BASH_VERSION+set}" && (set -o posix) >/dev/null 2>&1; then - set -o posix + setopt NO_GLOB_SUBST +else + case `(set -o) 2>/dev/null` in #( + *posix*) : + set -o posix ;; #( + *) : + ;; +esac fi -DUALCASE=1; export DUALCASE # for MKS sh -# Support unset when possible. -if ( (MAIL=60; unset MAIL) || exit) >/dev/null 2>&1; then - as_unset=unset + +as_nl=' +' +export as_nl +# Printing a long string crashes Solaris 7 /usr/bin/printf. +as_echo='\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\' +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo$as_echo +# Prefer a ksh shell builtin over an external printf program on Solaris, +# but without wasting forks for bash or zsh. +if test -z "$BASH_VERSION$ZSH_VERSION" \ + && (test "X`print -r -- $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='print -r --' + as_echo_n='print -rn --' +elif (test "X`printf %s $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='printf %s\n' + as_echo_n='printf %s' else - as_unset=false + if test "X`(/usr/ucb/echo -n -n $as_echo) 2>/dev/null`" = "X-n $as_echo"; then + as_echo_body='eval /usr/ucb/echo -n "$1$as_nl"' + as_echo_n='/usr/ucb/echo -n' + else + as_echo_body='eval expr "X$1" : "X\\(.*\\)"' + as_echo_n_body='eval + arg=$1; + case $arg in #( + *"$as_nl"*) + expr "X$arg" : "X\\(.*\\)$as_nl"; + arg=`expr "X$arg" : ".*$as_nl\\(.*\\)"`;; + esac; + expr "X$arg" : "X\\(.*\\)" | tr -d "$as_nl" + ' + export as_echo_n_body + as_echo_n='sh -c $as_echo_n_body as_echo' + fi + export as_echo_body + as_echo='sh -c $as_echo_body as_echo' +fi + +# The user is always right. +if test "${PATH_SEPARATOR+set}" != set; then + PATH_SEPARATOR=: + (PATH='/bin;/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 && { + (PATH='/bin:/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 || + PATH_SEPARATOR=';' + } fi -# Work around bugs in pre-3.0 UWIN ksh. -$as_unset ENV MAIL MAILPATH +# IFS +# We need space, tab and new line, in precisely that order. Quoting is +# there to prevent editors from complaining about space-tab. +# (If _AS_PATH_WALK were called with IFS unset, it would disable word +# splitting by setting IFS to empty value.) +IFS=" "" $as_nl" + +# Find who we are. Look in the path if we contain no directory separator. +as_myself= +case $0 in #(( + *[\\/]* ) as_myself=$0 ;; + *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break + done +IFS=$as_save_IFS + + ;; +esac +# We did not find ourselves, most probably we were run as `sh COMMAND' +# in which case we are not to be found in the path. +if test "x$as_myself" = x; then + as_myself=$0 +fi +if test ! -f "$as_myself"; then + $as_echo "$as_myself: error: cannot find myself; rerun with an absolute file name" >&2 + exit 1 +fi + +# Unset variables that we do not need and which cause bugs (e.g. in +# pre-3.0 UWIN ksh). But do not cause bugs in bash 2.01; the "|| exit 1" +# suppresses any "Segmentation fault" message there. '((' could +# trigger a bug in pdksh 5.2.14. +for as_var in BASH_ENV ENV MAIL MAILPATH +do eval test x\${$as_var+set} = xset \ + && ( (unset $as_var) || exit 1) >/dev/null 2>&1 && unset $as_var || : +done PS1='$ ' PS2='> ' PS4='+ ' # NLS nuisances. -for as_var in \ - LANG LANGUAGE LC_ADDRESS LC_ALL LC_COLLATE LC_CTYPE LC_IDENTIFICATION \ - LC_MEASUREMENT LC_MESSAGES LC_MONETARY LC_NAME LC_NUMERIC LC_PAPER \ - LC_TELEPHONE LC_TIME +LC_ALL=C +export LC_ALL +LANGUAGE=C +export LANGUAGE + +# CDPATH. +(unset CDPATH) >/dev/null 2>&1 && unset CDPATH + +# Use a proper internal environment variable to ensure we don't fall + # into an infinite loop, continuously re-executing ourselves. + if test x"${_as_can_reexec}" != xno && test "x$CONFIG_SHELL" != x; then + _as_can_reexec=no; export _as_can_reexec; + # We cannot yet assume a decent shell, so we have to provide a +# neutralization value for shells without unset; and this also +# works around shells that cannot unset nonexistent variables. +# Preserve -v and -x to the replacement shell. +BASH_ENV=/dev/null +ENV=/dev/null +(unset BASH_ENV) >/dev/null 2>&1 && unset BASH_ENV ENV +case $- in # (((( + *v*x* | *x*v* ) as_opts=-vx ;; + *v* ) as_opts=-v ;; + *x* ) as_opts=-x ;; + * ) as_opts= ;; +esac +exec $CONFIG_SHELL $as_opts "$as_myself" ${1+"$@"} +# Admittedly, this is quite paranoid, since all the known shells bail +# out after a failed `exec'. +$as_echo "$0: could not re-execute with $CONFIG_SHELL" >&2 +as_fn_exit 255 + fi + # We don't want this to propagate to other subprocesses. + { _as_can_reexec=; unset _as_can_reexec;} +if test "x$CONFIG_SHELL" = x; then + as_bourne_compatible="if test -n \"\${ZSH_VERSION+set}\" && (emulate sh) >/dev/null 2>&1; then : + emulate sh + NULLCMD=: + # Pre-4.2 versions of Zsh do word splitting on \${1+\"\$@\"}, which + # is contrary to our usage. Disable this feature. + alias -g '\${1+\"\$@\"}'='\"\$@\"' + setopt NO_GLOB_SUBST +else + case \`(set -o) 2>/dev/null\` in #( + *posix*) : + set -o posix ;; #( + *) : + ;; +esac +fi +" + as_required="as_fn_return () { (exit \$1); } +as_fn_success () { as_fn_return 0; } +as_fn_failure () { as_fn_return 1; } +as_fn_ret_success () { return 0; } +as_fn_ret_failure () { return 1; } + +exitcode=0 +as_fn_success || { exitcode=1; echo as_fn_success failed.; } +as_fn_failure && { exitcode=1; echo as_fn_failure succeeded.; } +as_fn_ret_success || { exitcode=1; echo as_fn_ret_success failed.; } +as_fn_ret_failure && { exitcode=1; echo as_fn_ret_failure succeeded.; } +if ( set x; as_fn_ret_success y && test x = \"\$1\" ); then : + +else + exitcode=1; echo positional parameters were not saved. +fi +test x\$exitcode = x0 || exit 1 +test -x / || exit 1" + as_suggested=" as_lineno_1=";as_suggested=$as_suggested$LINENO;as_suggested=$as_suggested" as_lineno_1a=\$LINENO + as_lineno_2=";as_suggested=$as_suggested$LINENO;as_suggested=$as_suggested" as_lineno_2a=\$LINENO + eval 'test \"x\$as_lineno_1'\$as_run'\" != \"x\$as_lineno_2'\$as_run'\" && + test \"x\`expr \$as_lineno_1'\$as_run' + 1\`\" = \"x\$as_lineno_2'\$as_run'\"' || exit 1" + if (eval "$as_required") 2>/dev/null; then : + as_have_required=yes +else + as_have_required=no +fi + if test x$as_have_required = xyes && (eval "$as_suggested") 2>/dev/null; then : + +else + as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +as_found=false +for as_dir in /bin$PATH_SEPARATOR/usr/bin$PATH_SEPARATOR$PATH do - if (set +x; test -z "`(eval $as_var=C; export $as_var) 2>&1`"); then - eval $as_var=C; export $as_var + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + as_found=: + case $as_dir in #( + /*) + for as_base in sh bash ksh sh5; do + # Try only shells that exist, to save several forks. + as_shell=$as_dir/$as_base + if { test -f "$as_shell" || test -f "$as_shell.exe"; } && + { $as_echo "$as_bourne_compatible""$as_required" | as_run=a "$as_shell"; } 2>/dev/null; then : + CONFIG_SHELL=$as_shell as_have_required=yes + if { $as_echo "$as_bourne_compatible""$as_suggested" | as_run=a "$as_shell"; } 2>/dev/null; then : + break 2 +fi +fi + done;; + esac + as_found=false +done +$as_found || { if { test -f "$SHELL" || test -f "$SHELL.exe"; } && + { $as_echo "$as_bourne_compatible""$as_required" | as_run=a "$SHELL"; } 2>/dev/null; then : + CONFIG_SHELL=$SHELL as_have_required=yes +fi; } +IFS=$as_save_IFS + + + if test "x$CONFIG_SHELL" != x; then : + export CONFIG_SHELL + # We cannot yet assume a decent shell, so we have to provide a +# neutralization value for shells without unset; and this also +# works around shells that cannot unset nonexistent variables. +# Preserve -v and -x to the replacement shell. +BASH_ENV=/dev/null +ENV=/dev/null +(unset BASH_ENV) >/dev/null 2>&1 && unset BASH_ENV ENV +case $- in # (((( + *v*x* | *x*v* ) as_opts=-vx ;; + *v* ) as_opts=-v ;; + *x* ) as_opts=-x ;; + * ) as_opts= ;; +esac +exec $CONFIG_SHELL $as_opts "$as_myself" ${1+"$@"} +# Admittedly, this is quite paranoid, since all the known shells bail +# out after a failed `exec'. +$as_echo "$0: could not re-execute with $CONFIG_SHELL" >&2 +exit 255 +fi + + if test x$as_have_required = xno; then : + $as_echo "$0: This script requires a shell more modern than all" + $as_echo "$0: the shells that I found on your system." + if test x${ZSH_VERSION+set} = xset ; then + $as_echo "$0: In particular, zsh $ZSH_VERSION has bugs and should" + $as_echo "$0: be upgraded to zsh 4.3.4 or later." else - $as_unset $as_var + $as_echo "$0: Please tell bug-autoconf@gnu.org about your system, +$0: including any error possibly output before this +$0: message. Then install a modern shell, or manually run +$0: the script under such a shell if you do have one." fi -done + exit 1 +fi +fi +fi +SHELL=${CONFIG_SHELL-/bin/sh} +export SHELL +# Unset more variables known to interfere with behavior of common tools. +CLICOLOR_FORCE= GREP_OPTIONS= +unset CLICOLOR_FORCE GREP_OPTIONS + +## --------------------- ## +## M4sh Shell Functions. ## +## --------------------- ## +# as_fn_unset VAR +# --------------- +# Portably unset VAR. +as_fn_unset () +{ + { eval $1=; unset $1;} +} +as_unset=as_fn_unset + +# as_fn_set_status STATUS +# ----------------------- +# Set $? to STATUS, without forking. +as_fn_set_status () +{ + return $1 +} # as_fn_set_status + +# as_fn_exit STATUS +# ----------------- +# Exit the shell with STATUS, even in a "trap 0" or "set -e" context. +as_fn_exit () +{ + set +e + as_fn_set_status $1 + exit $1 +} # as_fn_exit + +# as_fn_mkdir_p +# ------------- +# Create "$as_dir" as a directory, including parents if necessary. +as_fn_mkdir_p () +{ + + case $as_dir in #( + -*) as_dir=./$as_dir;; + esac + test -d "$as_dir" || eval $as_mkdir_p || { + as_dirs= + while :; do + case $as_dir in #( + *\'*) as_qdir=`$as_echo "$as_dir" | sed "s/'/'\\\\\\\\''/g"`;; #'( + *) as_qdir=$as_dir;; + esac + as_dirs="'$as_qdir' $as_dirs" + as_dir=`$as_dirname -- "$as_dir" || +$as_expr X"$as_dir" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ + X"$as_dir" : 'X\(//\)[^/]' \| \ + X"$as_dir" : 'X\(//\)$' \| \ + X"$as_dir" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X"$as_dir" | + sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ + s//\1/ + q + } + /^X\(\/\/\)[^/].*/{ + s//\1/ + q + } + /^X\(\/\/\)$/{ + s//\1/ + q + } + /^X\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` + test -d "$as_dir" && break + done + test -z "$as_dirs" || eval "mkdir $as_dirs" + } || test -d "$as_dir" || as_fn_error $? "cannot create directory $as_dir" -# Required to use basename. -if expr a : '\(a\)' >/dev/null 2>&1; then + +} # as_fn_mkdir_p + +# as_fn_executable_p FILE +# ----------------------- +# Test if FILE is an executable regular file. +as_fn_executable_p () +{ + test -f "$1" && test -x "$1" +} # as_fn_executable_p +# as_fn_append VAR VALUE +# ---------------------- +# Append the text in VALUE to the end of the definition contained in VAR. Take +# advantage of any shell optimizations that allow amortized linear growth over +# repeated appends, instead of the typical quadratic growth present in naive +# implementations. +if (eval "as_var=1; as_var+=2; test x\$as_var = x12") 2>/dev/null; then : + eval 'as_fn_append () + { + eval $1+=\$2 + }' +else + as_fn_append () + { + eval $1=\$$1\$2 + } +fi # as_fn_append + +# as_fn_arith ARG... +# ------------------ +# Perform arithmetic evaluation on the ARGs, and store the result in the +# global $as_val. Take advantage of shells that can avoid forks. The arguments +# must be portable across $(()) and expr. +if (eval "test \$(( 1 + 1 )) = 2") 2>/dev/null; then : + eval 'as_fn_arith () + { + as_val=$(( $* )) + }' +else + as_fn_arith () + { + as_val=`expr "$@" || test $? -eq 1` + } +fi # as_fn_arith + + +# as_fn_error STATUS ERROR [LINENO LOG_FD] +# ---------------------------------------- +# Output "`basename $0`: error: ERROR" to stderr. If LINENO and LOG_FD are +# provided, also output the error to LOG_FD, referencing LINENO. Then exit the +# script with STATUS, using 1 if that was 0. +as_fn_error () +{ + as_status=$1; test $as_status -eq 0 && as_status=1 + if test "$4"; then + as_lineno=${as_lineno-"$3"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + $as_echo "$as_me:${as_lineno-$LINENO}: error: $2" >&$4 + fi + $as_echo "$as_me: error: $2" >&2 + as_fn_exit $as_status +} # as_fn_error + +if expr a : '\(a\)' >/dev/null 2>&1 && + test "X`expr 00001 : '.*\(...\)'`" = X001; then as_expr=expr else as_expr=false fi -if (basename /) >/dev/null 2>&1 && test "X`basename / 2>&1`" = "X/"; then +if (basename -- /) >/dev/null 2>&1 && test "X`basename -- / 2>&1`" = "X/"; then as_basename=basename else as_basename=false fi +if (as_dir=`dirname -- /` && test "X$as_dir" = X/) >/dev/null 2>&1; then + as_dirname=dirname +else + as_dirname=false +fi -# Name of the executable. -as_me=`$as_basename "$0" || +as_me=`$as_basename -- "$0" || $as_expr X/"$0" : '.*/\([^/][^/]*\)/*$' \| \ X"$0" : 'X\(//\)$' \| \ - X"$0" : 'X\(/\)$' \| \ - . : '\(.\)' 2>/dev/null || -echo X/"$0" | - sed '/^.*\/\([^/][^/]*\)\/*$/{ s//\1/; q; } - /^X\/\(\/\/\)$/{ s//\1/; q; } - /^X\/\(\/\).*/{ s//\1/; q; } - s/.*/./; q'` + X"$0" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X/"$0" | + sed '/^.*\/\([^/][^/]*\)\/*$/{ + s//\1/ + q + } + /^X\/\(\/\/\)$/{ + s//\1/ + q + } + /^X\/\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` - -# PATH needs CR, and LINENO needs CR and PATH. # Avoid depending upon Character Ranges. as_cr_letters='abcdefghijklmnopqrstuvwxyz' as_cr_LETTERS='ABCDEFGHIJKLMNOPQRSTUVWXYZ' @@ -83,146 +460,91 @@ as_cr_Letters=$as_cr_letters$as_cr_LETTERS as_cr_digits='0123456789' as_cr_alnum=$as_cr_Letters$as_cr_digits -# The user is always right. -if test "${PATH_SEPARATOR+set}" != set; then - echo "#! /bin/sh" >conf$$.sh - echo "exit 0" >>conf$$.sh - chmod +x conf$$.sh - if (PATH="/nonexistent;."; conf$$.sh) >/dev/null 2>&1; then - PATH_SEPARATOR=';' - else - PATH_SEPARATOR=: - fi - rm -f conf$$.sh -fi - - - as_lineno_1=$LINENO - as_lineno_2=$LINENO - as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null` - test "x$as_lineno_1" != "x$as_lineno_2" && - test "x$as_lineno_3" = "x$as_lineno_2" || { - # Find who we are. Look in the path if we contain no path at all - # relative or not. - case $0 in - *[\\/]* ) as_myself=$0 ;; - *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in $PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break -done - - ;; - esac - # We did not find ourselves, most probably we were run as `sh COMMAND' - # in which case we are not to be found in the path. - if test "x$as_myself" = x; then - as_myself=$0 - fi - if test ! -f "$as_myself"; then - { echo "$as_me: error: cannot find myself; rerun with an absolute path" >&2 - { (exit 1); exit 1; }; } - fi - case $CONFIG_SHELL in - '') - as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in /bin$PATH_SEPARATOR/usr/bin$PATH_SEPARATOR$PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - for as_base in sh bash ksh sh5; do - case $as_dir in - /*) - if ("$as_dir/$as_base" -c ' - as_lineno_1=$LINENO - as_lineno_2=$LINENO - as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null` - test "x$as_lineno_1" != "x$as_lineno_2" && - test "x$as_lineno_3" = "x$as_lineno_2" ') 2>/dev/null; then - $as_unset BASH_ENV || test "${BASH_ENV+set}" != set || { BASH_ENV=; export BASH_ENV; } - $as_unset ENV || test "${ENV+set}" != set || { ENV=; export ENV; } - CONFIG_SHELL=$as_dir/$as_base - export CONFIG_SHELL - exec "$CONFIG_SHELL" "$0" ${1+"$@"} - fi;; - esac - done -done -;; - esac - # Create $as_me.lineno as a copy of $as_myself, but with $LINENO - # uniformly replaced by the line number. The first 'sed' inserts a - # line-number line before each line; the second 'sed' does the real - # work. The second script uses 'N' to pair each line-number line - # with the numbered line, and appends trailing '-' during - # substitution so that $LINENO is not a special case at line end. - # (Raja R Harinath suggested sed '=', and Paul Eggert wrote the - # second 'sed' script. Blame Lee E. McMahon for sed's syntax. :-) - sed '=' <$as_myself | + as_lineno_1=$LINENO as_lineno_1a=$LINENO + as_lineno_2=$LINENO as_lineno_2a=$LINENO + eval 'test "x$as_lineno_1'$as_run'" != "x$as_lineno_2'$as_run'" && + test "x`expr $as_lineno_1'$as_run' + 1`" = "x$as_lineno_2'$as_run'"' || { + # Blame Lee E. McMahon (1931-1989) for sed's syntax. :-) + sed -n ' + p + /[$]LINENO/= + ' <$as_myself | sed ' + s/[$]LINENO.*/&-/ + t lineno + b + :lineno N - s,$,-, - : loop - s,^\(['$as_cr_digits']*\)\(.*\)[$]LINENO\([^'$as_cr_alnum'_]\),\1\2\1\3, + :loop + s/[$]LINENO\([^'$as_cr_alnum'_].*\n\)\(.*\)/\2\1\2/ t loop - s,-$,, - s,^['$as_cr_digits']*\n,, + s/-\n.*// ' >$as_me.lineno && - chmod +x $as_me.lineno || - { echo "$as_me: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&2 - { (exit 1); exit 1; }; } + chmod +x "$as_me.lineno" || + { $as_echo "$as_me: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&2; as_fn_exit 1; } + # If we had to re-execute with $CONFIG_SHELL, we're ensured to have + # already done that, so ensure we don't try to do so again and fall + # in an infinite loop. This has already happened in practice. + _as_can_reexec=no; export _as_can_reexec # Don't try to exec as it changes $[0], causing all sort of problems # (the dirname of $[0] is not the place where we might find the - # original and so on. Autoconf is especially sensible to this). - . ./$as_me.lineno + # original and so on. Autoconf is especially sensitive to this). + . "./$as_me.lineno" # Exit status is that of the last command. exit } - -case `echo "testing\c"; echo 1,2,3`,`echo -n testing; echo 1,2,3` in - *c*,-n*) ECHO_N= ECHO_C=' -' ECHO_T=' ' ;; - *c*,* ) ECHO_N=-n ECHO_C= ECHO_T= ;; - *) ECHO_N= ECHO_C='\c' ECHO_T= ;; +ECHO_C= ECHO_N= ECHO_T= +case `echo -n x` in #((((( +-n*) + case `echo 'xy\c'` in + *c*) ECHO_T=' ';; # ECHO_T is single tab character. + xy) ECHO_C='\c';; + *) echo `echo ksh88 bug on AIX 6.1` > /dev/null + ECHO_T=' ';; + esac;; +*) + ECHO_N='-n';; esac -if expr a : '\(a\)' >/dev/null 2>&1; then - as_expr=expr +rm -f conf$$ conf$$.exe conf$$.file +if test -d conf$$.dir; then + rm -f conf$$.dir/conf$$.file else - as_expr=false + rm -f conf$$.dir + mkdir conf$$.dir 2>/dev/null fi - -rm -f conf$$ conf$$.exe conf$$.file -echo >conf$$.file -if ln -s conf$$.file conf$$ 2>/dev/null; then - # We could just check for DJGPP; but this test a) works b) is more generic - # and c) will remain valid once DJGPP supports symlinks (DJGPP 2.04). - if test -f conf$$.exe; then - # Don't use ln at all; we don't have any links - as_ln_s='cp -p' - else +if (echo >conf$$.file) 2>/dev/null; then + if ln -s conf$$.file conf$$ 2>/dev/null; then as_ln_s='ln -s' + # ... but there are two gotchas: + # 1) On MSYS, both `ln -s file dir' and `ln file dir' fail. + # 2) DJGPP < 2.04 has no symlinks; `ln -s' creates a wrapper executable. + # In both cases, we have to default to `cp -pR'. + ln -s conf$$.file conf$$.dir 2>/dev/null && test ! -f conf$$.exe || + as_ln_s='cp -pR' + elif ln conf$$.file conf$$ 2>/dev/null; then + as_ln_s=ln + else + as_ln_s='cp -pR' fi -elif ln conf$$.file conf$$ 2>/dev/null; then - as_ln_s=ln else - as_ln_s='cp -p' + as_ln_s='cp -pR' fi -rm -f conf$$ conf$$.exe conf$$.file +rm -f conf$$ conf$$.exe conf$$.dir/conf$$.file conf$$.file +rmdir conf$$.dir 2>/dev/null if mkdir -p . 2>/dev/null; then - as_mkdir_p=: + as_mkdir_p='mkdir -p "$as_dir"' else test -d ./-p && rmdir ./-p as_mkdir_p=false fi -as_executable_p="test -f" +as_test_x='test -x' +as_executable_p=as_fn_executable_p # Sed expression to map a string onto a valid CPP name. as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" @@ -231,38 +553,25 @@ as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" as_tr_sh="eval sed 'y%*+%pp%;s%[^_$as_cr_alnum]%_%g'" -# IFS -# We need space, tab and new line, in precisely that order. -as_nl=' -' -IFS=" $as_nl" - -# CDPATH. -$as_unset CDPATH - +test -n "$DJDIR" || exec 7<&0 &1 # Name of the host. -# hostname on some systems (SVR3.2, Linux) returns a bogus exit status, +# hostname on some systems (SVR3.2, old GNU/Linux) returns a bogus exit status, # so uname gets run too. ac_hostname=`(hostname || uname -n) 2>/dev/null | sed 1q` -exec 6>&1 - # # Initializations. # ac_default_prefix=/usr/local +ac_clean_files= ac_config_libobj_dir=. +LIBOBJS= cross_compiling=no subdirs= MFLAGS= MAKEFLAGS= -SHELL=${CONFIG_SHELL-/bin/sh} - -# Maximum number of lines to put in a shell here document. -# This variable seems obsolete. It should probably be removed, and -# only ac_max_sed_lines should be used. -: ${ac_max_here_lines=38} # Identity of this package. PACKAGE_NAME= @@ -270,14 +579,70 @@ PACKAGE_TARNAME= PACKAGE_VERSION= PACKAGE_STRING= PACKAGE_BUGREPORT= +PACKAGE_URL= ac_unique_file="man2tcl.c" -ac_subst_vars='SHELL PATH_SEPARATOR PACKAGE_NAME PACKAGE_TARNAME PACKAGE_VERSION PACKAGE_STRING PACKAGE_BUGREPORT exec_prefix prefix program_transform_name bindir sbindir libexecdir datadir sysconfdir sharedstatedir localstatedir libdir includedir oldincludedir infodir mandir build_alias host_alias target_alias DEFS ECHO_C ECHO_N ECHO_T LIBS TCL_WIN_VERSION CC TCL_VERSION TCL_PATCH_LEVEL TCL_SRC_DIR TCL_BIN_DIR LIBOBJS LTLIBOBJS' +ac_subst_vars='LTLIBOBJS +LIBOBJS +TCL_BIN_DIR +TCL_SRC_DIR +TCL_PATCH_LEVEL +TCL_VERSION +CC +TCL_WIN_VERSION +target_alias +host_alias +build_alias +LIBS +ECHO_T +ECHO_N +ECHO_C +DEFS +mandir +localedir +libdir +psdir +pdfdir +dvidir +htmldir +infodir +docdir +oldincludedir +includedir +localstatedir +sharedstatedir +sysconfdir +datadir +datarootdir +libexecdir +sbindir +bindir +program_transform_name +prefix +exec_prefix +PACKAGE_URL +PACKAGE_BUGREPORT +PACKAGE_STRING +PACKAGE_VERSION +PACKAGE_TARNAME +PACKAGE_NAME +PATH_SEPARATOR +SHELL' ac_subst_files='' +ac_user_opts=' +enable_option_checking +with_tcl +' + ac_precious_vars='build_alias +host_alias +target_alias' + # Initialize some variables set by options. ac_init_help= ac_init_version=false +ac_unrecognized_opts= +ac_unrecognized_sep= # The variables have the same names as the options, with # dashes changed to underlines. cache_file=/dev/null @@ -300,34 +665,49 @@ x_libraries=NONE # and all the variables that are supposed to be based on exec_prefix # by default will actually change. # Use braces instead of parens because sh, perl, etc. also accept them. +# (The list follows the same order as the GNU Coding Standards.) bindir='${exec_prefix}/bin' sbindir='${exec_prefix}/sbin' libexecdir='${exec_prefix}/libexec' -datadir='${prefix}/share' +datarootdir='${prefix}/share' +datadir='${datarootdir}' sysconfdir='${prefix}/etc' sharedstatedir='${prefix}/com' localstatedir='${prefix}/var' -libdir='${exec_prefix}/lib' includedir='${prefix}/include' oldincludedir='/usr/include' -infodir='${prefix}/info' -mandir='${prefix}/man' +docdir='${datarootdir}/doc/${PACKAGE}' +infodir='${datarootdir}/info' +htmldir='${docdir}' +dvidir='${docdir}' +pdfdir='${docdir}' +psdir='${docdir}' +libdir='${exec_prefix}/lib' +localedir='${datarootdir}/locale' +mandir='${datarootdir}/man' ac_prev= +ac_dashdash= for ac_option do # If the previous option needs an argument, assign it. if test -n "$ac_prev"; then - eval "$ac_prev=\$ac_option" + eval $ac_prev=\$ac_option ac_prev= continue fi - ac_optarg=`expr "x$ac_option" : 'x[^=]*=\(.*\)'` + case $ac_option in + *=?*) ac_optarg=`expr "X$ac_option" : '[^=]*=\(.*\)'` ;; + *=) ac_optarg= ;; + *) ac_optarg=yes ;; + esac # Accept the important Cygnus configure options, so we can diagnose typos. - case $ac_option in + case $ac_dashdash$ac_option in + --) + ac_dashdash=yes ;; -bindir | --bindir | --bindi | --bind | --bin | --bi) ac_prev=bindir ;; @@ -349,33 +729,59 @@ do --config-cache | -C) cache_file=config.cache ;; - -datadir | --datadir | --datadi | --datad | --data | --dat | --da) + -datadir | --datadir | --datadi | --datad) ac_prev=datadir ;; - -datadir=* | --datadir=* | --datadi=* | --datad=* | --data=* | --dat=* \ - | --da=*) + -datadir=* | --datadir=* | --datadi=* | --datad=*) datadir=$ac_optarg ;; + -datarootdir | --datarootdir | --datarootdi | --datarootd | --dataroot \ + | --dataroo | --dataro | --datar) + ac_prev=datarootdir ;; + -datarootdir=* | --datarootdir=* | --datarootdi=* | --datarootd=* \ + | --dataroot=* | --dataroo=* | --dataro=* | --datar=*) + datarootdir=$ac_optarg ;; + -disable-* | --disable-*) - ac_feature=`expr "x$ac_option" : 'x-*disable-\(.*\)'` + ac_useropt=`expr "x$ac_option" : 'x-*disable-\(.*\)'` # Reject names that are not valid shell variable names. - expr "x$ac_feature" : ".*[^-_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid feature name: $ac_feature" >&2 - { (exit 1); exit 1; }; } - ac_feature=`echo $ac_feature | sed 's/-/_/g'` - eval "enable_$ac_feature=no" ;; + expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null && + as_fn_error $? "invalid feature name: $ac_useropt" + ac_useropt_orig=$ac_useropt + ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'` + case $ac_user_opts in + *" +"enable_$ac_useropt" +"*) ;; + *) ac_unrecognized_opts="$ac_unrecognized_opts$ac_unrecognized_sep--disable-$ac_useropt_orig" + ac_unrecognized_sep=', ';; + esac + eval enable_$ac_useropt=no ;; + + -docdir | --docdir | --docdi | --doc | --do) + ac_prev=docdir ;; + -docdir=* | --docdir=* | --docdi=* | --doc=* | --do=*) + docdir=$ac_optarg ;; + + -dvidir | --dvidir | --dvidi | --dvid | --dvi | --dv) + ac_prev=dvidir ;; + -dvidir=* | --dvidir=* | --dvidi=* | --dvid=* | --dvi=* | --dv=*) + dvidir=$ac_optarg ;; -enable-* | --enable-*) - ac_feature=`expr "x$ac_option" : 'x-*enable-\([^=]*\)'` + ac_useropt=`expr "x$ac_option" : 'x-*enable-\([^=]*\)'` # Reject names that are not valid shell variable names. - expr "x$ac_feature" : ".*[^-_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid feature name: $ac_feature" >&2 - { (exit 1); exit 1; }; } - ac_feature=`echo $ac_feature | sed 's/-/_/g'` - case $ac_option in - *=*) ac_optarg=`echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"`;; - *) ac_optarg=yes ;; + expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null && + as_fn_error $? "invalid feature name: $ac_useropt" + ac_useropt_orig=$ac_useropt + ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'` + case $ac_user_opts in + *" +"enable_$ac_useropt" +"*) ;; + *) ac_unrecognized_opts="$ac_unrecognized_opts$ac_unrecognized_sep--enable-$ac_useropt_orig" + ac_unrecognized_sep=', ';; esac - eval "enable_$ac_feature='$ac_optarg'" ;; + eval enable_$ac_useropt=\$ac_optarg ;; -exec-prefix | --exec_prefix | --exec-prefix | --exec-prefi \ | --exec-pref | --exec-pre | --exec-pr | --exec-p | --exec- \ @@ -402,6 +808,12 @@ do -host=* | --host=* | --hos=* | --ho=*) host_alias=$ac_optarg ;; + -htmldir | --htmldir | --htmldi | --htmld | --html | --htm | --ht) + ac_prev=htmldir ;; + -htmldir=* | --htmldir=* | --htmldi=* | --htmld=* | --html=* | --htm=* \ + | --ht=*) + htmldir=$ac_optarg ;; + -includedir | --includedir | --includedi | --included | --include \ | --includ | --inclu | --incl | --inc) ac_prev=includedir ;; @@ -426,13 +838,16 @@ do | --libexe=* | --libex=* | --libe=*) libexecdir=$ac_optarg ;; + -localedir | --localedir | --localedi | --localed | --locale) + ac_prev=localedir ;; + -localedir=* | --localedir=* | --localedi=* | --localed=* | --locale=*) + localedir=$ac_optarg ;; + -localstatedir | --localstatedir | --localstatedi | --localstated \ - | --localstate | --localstat | --localsta | --localst \ - | --locals | --local | --loca | --loc | --lo) + | --localstate | --localstat | --localsta | --localst | --locals) ac_prev=localstatedir ;; -localstatedir=* | --localstatedir=* | --localstatedi=* | --localstated=* \ - | --localstate=* | --localstat=* | --localsta=* | --localst=* \ - | --locals=* | --local=* | --loca=* | --loc=* | --lo=*) + | --localstate=* | --localstat=* | --localsta=* | --localst=* | --locals=*) localstatedir=$ac_optarg ;; -mandir | --mandir | --mandi | --mand | --man | --ma | --m) @@ -497,6 +912,16 @@ do | --progr-tra=* | --program-tr=* | --program-t=*) program_transform_name=$ac_optarg ;; + -pdfdir | --pdfdir | --pdfdi | --pdfd | --pdf | --pd) + ac_prev=pdfdir ;; + -pdfdir=* | --pdfdir=* | --pdfdi=* | --pdfd=* | --pdf=* | --pd=*) + pdfdir=$ac_optarg ;; + + -psdir | --psdir | --psdi | --psd | --ps) + ac_prev=psdir ;; + -psdir=* | --psdir=* | --psdi=* | --psd=* | --ps=*) + psdir=$ac_optarg ;; + -q | -quiet | --quiet | --quie | --qui | --qu | --q \ | -silent | --silent | --silen | --sile | --sil) silent=yes ;; @@ -547,26 +972,36 @@ do ac_init_version=: ;; -with-* | --with-*) - ac_package=`expr "x$ac_option" : 'x-*with-\([^=]*\)'` + ac_useropt=`expr "x$ac_option" : 'x-*with-\([^=]*\)'` # Reject names that are not valid shell variable names. - expr "x$ac_package" : ".*[^-_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid package name: $ac_package" >&2 - { (exit 1); exit 1; }; } - ac_package=`echo $ac_package| sed 's/-/_/g'` - case $ac_option in - *=*) ac_optarg=`echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"`;; - *) ac_optarg=yes ;; + expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null && + as_fn_error $? "invalid package name: $ac_useropt" + ac_useropt_orig=$ac_useropt + ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'` + case $ac_user_opts in + *" +"with_$ac_useropt" +"*) ;; + *) ac_unrecognized_opts="$ac_unrecognized_opts$ac_unrecognized_sep--with-$ac_useropt_orig" + ac_unrecognized_sep=', ';; esac - eval "with_$ac_package='$ac_optarg'" ;; + eval with_$ac_useropt=\$ac_optarg ;; -without-* | --without-*) - ac_package=`expr "x$ac_option" : 'x-*without-\(.*\)'` + ac_useropt=`expr "x$ac_option" : 'x-*without-\(.*\)'` # Reject names that are not valid shell variable names. - expr "x$ac_package" : ".*[^-_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid package name: $ac_package" >&2 - { (exit 1); exit 1; }; } - ac_package=`echo $ac_package | sed 's/-/_/g'` - eval "with_$ac_package=no" ;; + expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null && + as_fn_error $? "invalid package name: $ac_useropt" + ac_useropt_orig=$ac_useropt + ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'` + case $ac_user_opts in + *" +"with_$ac_useropt" +"*) ;; + *) ac_unrecognized_opts="$ac_unrecognized_opts$ac_unrecognized_sep--without-$ac_useropt_orig" + ac_unrecognized_sep=', ';; + esac + eval with_$ac_useropt=no ;; --x) # Obsolete; use --with-x. @@ -586,27 +1021,26 @@ do | --x-librar=* | --x-libra=* | --x-libr=* | --x-lib=* | --x-li=* | --x-l=*) x_libraries=$ac_optarg ;; - -*) { echo "$as_me: error: unrecognized option: $ac_option -Try \`$0 --help' for more information." >&2 - { (exit 1); exit 1; }; } + -*) as_fn_error $? "unrecognized option: \`$ac_option' +Try \`$0 --help' for more information" ;; *=*) ac_envvar=`expr "x$ac_option" : 'x\([^=]*\)='` # Reject names that are not valid shell variable names. - expr "x$ac_envvar" : ".*[^_$as_cr_alnum]" >/dev/null && - { echo "$as_me: error: invalid variable name: $ac_envvar" >&2 - { (exit 1); exit 1; }; } - ac_optarg=`echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"` - eval "$ac_envvar='$ac_optarg'" + case $ac_envvar in #( + '' | [0-9]* | *[!_$as_cr_alnum]* ) + as_fn_error $? "invalid variable name: \`$ac_envvar'" ;; + esac + eval $ac_envvar=\$ac_optarg export $ac_envvar ;; *) # FIXME: should be removed in autoconf 3.0. - echo "$as_me: WARNING: you should use --build, --host, --target" >&2 + $as_echo "$as_me: WARNING: you should use --build, --host, --target" >&2 expr "x$ac_option" : ".*[^-._$as_cr_alnum]" >/dev/null && - echo "$as_me: WARNING: invalid host type: $ac_option" >&2 - : ${build_alias=$ac_option} ${host_alias=$ac_option} ${target_alias=$ac_option} + $as_echo "$as_me: WARNING: invalid host type: $ac_option" >&2 + : "${build_alias=$ac_option} ${host_alias=$ac_option} ${target_alias=$ac_option}" ;; esac @@ -614,31 +1048,36 @@ done if test -n "$ac_prev"; then ac_option=--`echo $ac_prev | sed 's/_/-/g'` - { echo "$as_me: error: missing argument to $ac_option" >&2 - { (exit 1); exit 1; }; } + as_fn_error $? "missing argument to $ac_option" fi -# Be sure to have absolute paths. -for ac_var in exec_prefix prefix -do - eval ac_val=$`echo $ac_var` - case $ac_val in - [\\/$]* | ?:[\\/]* | NONE | '' ) ;; - *) { echo "$as_me: error: expected an absolute directory name for --$ac_var: $ac_val" >&2 - { (exit 1); exit 1; }; };; +if test -n "$ac_unrecognized_opts"; then + case $enable_option_checking in + no) ;; + fatal) as_fn_error $? "unrecognized options: $ac_unrecognized_opts" ;; + *) $as_echo "$as_me: WARNING: unrecognized options: $ac_unrecognized_opts" >&2 ;; esac -done +fi -# Be sure to have absolute paths. -for ac_var in bindir sbindir libexecdir datadir sysconfdir sharedstatedir \ - localstatedir libdir includedir oldincludedir infodir mandir +# Check all directory arguments for consistency. +for ac_var in exec_prefix prefix bindir sbindir libexecdir datarootdir \ + datadir sysconfdir sharedstatedir localstatedir includedir \ + oldincludedir docdir infodir htmldir dvidir pdfdir psdir \ + libdir localedir mandir do - eval ac_val=$`echo $ac_var` + eval ac_val=\$$ac_var + # Remove trailing slashes. + case $ac_val in + */ ) + ac_val=`expr "X$ac_val" : 'X\(.*[^/]\)' \| "X$ac_val" : 'X\(.*\)'` + eval $ac_var=\$ac_val;; + esac + # Be sure to have absolute directory names. case $ac_val in - [\\/$]* | ?:[\\/]* ) ;; - *) { echo "$as_me: error: expected an absolute directory name for --$ac_var: $ac_val" >&2 - { (exit 1); exit 1; }; };; + [\\/$]* | ?:[\\/]* ) continue;; + NONE | '' ) case $ac_var in *prefix ) continue;; esac;; esac + as_fn_error $? "expected an absolute directory name for --$ac_var: $ac_val" done # There might be people who depend on the old broken behavior: `$host' @@ -652,8 +1091,6 @@ target=$target_alias if test "x$host_alias" != x; then if test "x$build_alias" = x; then cross_compiling=maybe - echo "$as_me: WARNING: If you wanted to set the --build type, don't use --host. - If a cross compiler is detected then cross compile mode will be used." >&2 elif test "x$build_alias" != "x$host_alias"; then cross_compiling=yes fi @@ -665,54 +1102,72 @@ test -n "$host_alias" && ac_tool_prefix=$host_alias- test "$silent" = yes && exec 6>/dev/null +ac_pwd=`pwd` && test -n "$ac_pwd" && +ac_ls_di=`ls -di .` && +ac_pwd_ls_di=`cd "$ac_pwd" && ls -di .` || + as_fn_error $? "working directory cannot be determined" +test "X$ac_ls_di" = "X$ac_pwd_ls_di" || + as_fn_error $? "pwd does not report name of working directory" + + # Find the source files, if location was not specified. if test -z "$srcdir"; then ac_srcdir_defaulted=yes - # Try the directory containing this script, then its parent. - ac_confdir=`(dirname "$0") 2>/dev/null || -$as_expr X"$0" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ - X"$0" : 'X\(//\)[^/]' \| \ - X"$0" : 'X\(//\)$' \| \ - X"$0" : 'X\(/\)' \| \ - . : '\(.\)' 2>/dev/null || -echo X"$0" | - sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ s//\1/; q; } - /^X\(\/\/\)[^/].*/{ s//\1/; q; } - /^X\(\/\/\)$/{ s//\1/; q; } - /^X\(\/\).*/{ s//\1/; q; } - s/.*/./; q'` + # Try the directory containing this script, then the parent directory. + ac_confdir=`$as_dirname -- "$as_myself" || +$as_expr X"$as_myself" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ + X"$as_myself" : 'X\(//\)[^/]' \| \ + X"$as_myself" : 'X\(//\)$' \| \ + X"$as_myself" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X"$as_myself" | + sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ + s//\1/ + q + } + /^X\(\/\/\)[^/].*/{ + s//\1/ + q + } + /^X\(\/\/\)$/{ + s//\1/ + q + } + /^X\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` srcdir=$ac_confdir - if test ! -r $srcdir/$ac_unique_file; then + if test ! -r "$srcdir/$ac_unique_file"; then srcdir=.. fi else ac_srcdir_defaulted=no fi -if test ! -r $srcdir/$ac_unique_file; then - if test "$ac_srcdir_defaulted" = yes; then - { echo "$as_me: error: cannot find sources ($ac_unique_file) in $ac_confdir or .." >&2 - { (exit 1); exit 1; }; } - else - { echo "$as_me: error: cannot find sources ($ac_unique_file) in $srcdir" >&2 - { (exit 1); exit 1; }; } - fi +if test ! -r "$srcdir/$ac_unique_file"; then + test "$ac_srcdir_defaulted" = yes && srcdir="$ac_confdir or .." + as_fn_error $? "cannot find sources ($ac_unique_file) in $srcdir" fi -(cd $srcdir && test -r ./$ac_unique_file) 2>/dev/null || - { echo "$as_me: error: sources are in $srcdir, but \`cd $srcdir' does not work" >&2 - { (exit 1); exit 1; }; } -srcdir=`echo "$srcdir" | sed 's%\([^\\/]\)[\\/]*$%\1%'` -ac_env_build_alias_set=${build_alias+set} -ac_env_build_alias_value=$build_alias -ac_cv_env_build_alias_set=${build_alias+set} -ac_cv_env_build_alias_value=$build_alias -ac_env_host_alias_set=${host_alias+set} -ac_env_host_alias_value=$host_alias -ac_cv_env_host_alias_set=${host_alias+set} -ac_cv_env_host_alias_value=$host_alias -ac_env_target_alias_set=${target_alias+set} -ac_env_target_alias_value=$target_alias -ac_cv_env_target_alias_set=${target_alias+set} -ac_cv_env_target_alias_value=$target_alias +ac_msg="sources are in $srcdir, but \`cd $srcdir' does not work" +ac_abs_confdir=`( + cd "$srcdir" && test -r "./$ac_unique_file" || as_fn_error $? "$ac_msg" + pwd)` +# When building in place, set srcdir=. +if test "$ac_abs_confdir" = "$ac_pwd"; then + srcdir=. +fi +# Remove unnecessary trailing slashes from srcdir. +# Double slashes in file names in object file debugging info +# mess up M-x gdb in Emacs. +case $srcdir in +*/) srcdir=`expr "X$srcdir" : 'X\(.*[^/]\)' \| "X$srcdir" : 'X\(.*\)'`;; +esac +for ac_var in $ac_precious_vars; do + eval ac_env_${ac_var}_set=\${${ac_var}+set} + eval ac_env_${ac_var}_value=\$${ac_var} + eval ac_cv_env_${ac_var}_set=\${${ac_var}+set} + eval ac_cv_env_${ac_var}_value=\$${ac_var} +done # # Report the --help message. @@ -735,20 +1190,17 @@ Configuration: --help=short display options specific to this package --help=recursive display the short help of all the included packages -V, --version display version information and exit - -q, --quiet, --silent do not print \`checking...' messages + -q, --quiet, --silent do not print \`checking ...' messages --cache-file=FILE cache test results in FILE [disabled] -C, --config-cache alias for \`--cache-file=config.cache' -n, --no-create do not create output files --srcdir=DIR find the sources in DIR [configure dir or \`..'] -_ACEOF - - cat <<_ACEOF Installation directories: --prefix=PREFIX install architecture-independent files in PREFIX - [$ac_default_prefix] + [$ac_default_prefix] --exec-prefix=EPREFIX install architecture-dependent files in EPREFIX - [PREFIX] + [PREFIX] By default, \`make install' will install all the files in \`$ac_default_prefix/bin', \`$ac_default_prefix/lib' etc. You can specify @@ -758,18 +1210,25 @@ for instance \`--prefix=\$HOME'. For better control, use the options below. Fine tuning of the installation directories: - --bindir=DIR user executables [EPREFIX/bin] - --sbindir=DIR system admin executables [EPREFIX/sbin] - --libexecdir=DIR program executables [EPREFIX/libexec] - --datadir=DIR read-only architecture-independent data [PREFIX/share] - --sysconfdir=DIR read-only single-machine data [PREFIX/etc] - --sharedstatedir=DIR modifiable architecture-independent data [PREFIX/com] - --localstatedir=DIR modifiable single-machine data [PREFIX/var] - --libdir=DIR object code libraries [EPREFIX/lib] - --includedir=DIR C header files [PREFIX/include] - --oldincludedir=DIR C header files for non-gcc [/usr/include] - --infodir=DIR info documentation [PREFIX/info] - --mandir=DIR man documentation [PREFIX/man] + --bindir=DIR user executables [EPREFIX/bin] + --sbindir=DIR system admin executables [EPREFIX/sbin] + --libexecdir=DIR program executables [EPREFIX/libexec] + --sysconfdir=DIR read-only single-machine data [PREFIX/etc] + --sharedstatedir=DIR modifiable architecture-independent data [PREFIX/com] + --localstatedir=DIR modifiable single-machine data [PREFIX/var] + --libdir=DIR object code libraries [EPREFIX/lib] + --includedir=DIR C header files [PREFIX/include] + --oldincludedir=DIR C header files for non-gcc [/usr/include] + --datarootdir=DIR read-only arch.-independent data root [PREFIX/share] + --datadir=DIR read-only architecture-independent data [DATAROOTDIR] + --infodir=DIR info documentation [DATAROOTDIR/info] + --localedir=DIR locale-dependent data [DATAROOTDIR/locale] + --mandir=DIR man documentation [DATAROOTDIR/man] + --docdir=DIR documentation root [DATAROOTDIR/doc/PACKAGE] + --htmldir=DIR html documentation [DOCDIR] + --dvidir=DIR dvi documentation [DOCDIR] + --pdfdir=DIR pdf documentation [DOCDIR] + --psdir=DIR ps documentation [DOCDIR] _ACEOF cat <<\_ACEOF @@ -785,119 +1244,93 @@ Optional Packages: --without-PACKAGE do not use PACKAGE (same as --with-PACKAGE=no) --with-tcl=DIR use Tcl $DEF_VER binaries from DIR +Report bugs to the package provider. _ACEOF +ac_status=$? fi if test "$ac_init_help" = "recursive"; then # If there are subdirs, report their specific --help. - ac_popdir=`pwd` for ac_dir in : $ac_subdirs_all; do test "x$ac_dir" = x: && continue - test -d $ac_dir || continue + test -d "$ac_dir" || + { cd "$srcdir" && ac_pwd=`pwd` && srcdir=. && test -d "$ac_dir"; } || + continue ac_builddir=. -if test "$ac_dir" != .; then - ac_dir_suffix=/`echo "$ac_dir" | sed 's,^\.[\\/],,'` - # A "../" for each directory in $ac_dir_suffix. - ac_top_builddir=`echo "$ac_dir_suffix" | sed 's,/[^\\/]*,../,g'` -else - ac_dir_suffix= ac_top_builddir= -fi +case "$ac_dir" in +.) ac_dir_suffix= ac_top_builddir_sub=. ac_top_build_prefix= ;; +*) + ac_dir_suffix=/`$as_echo "$ac_dir" | sed 's|^\.[\\/]||'` + # A ".." for each directory in $ac_dir_suffix. + ac_top_builddir_sub=`$as_echo "$ac_dir_suffix" | sed 's|/[^\\/]*|/..|g;s|/||'` + case $ac_top_builddir_sub in + "") ac_top_builddir_sub=. ac_top_build_prefix= ;; + *) ac_top_build_prefix=$ac_top_builddir_sub/ ;; + esac ;; +esac +ac_abs_top_builddir=$ac_pwd +ac_abs_builddir=$ac_pwd$ac_dir_suffix +# for backward compatibility: +ac_top_builddir=$ac_top_build_prefix case $srcdir in - .) # No --srcdir option. We are building in place. + .) # We are building in place. ac_srcdir=. - if test -z "$ac_top_builddir"; then - ac_top_srcdir=. - else - ac_top_srcdir=`echo $ac_top_builddir | sed 's,/$,,'` - fi ;; - [\\/]* | ?:[\\/]* ) # Absolute path. + ac_top_srcdir=$ac_top_builddir_sub + ac_abs_top_srcdir=$ac_pwd ;; + [\\/]* | ?:[\\/]* ) # Absolute name. ac_srcdir=$srcdir$ac_dir_suffix; - ac_top_srcdir=$srcdir ;; - *) # Relative path. - ac_srcdir=$ac_top_builddir$srcdir$ac_dir_suffix - ac_top_srcdir=$ac_top_builddir$srcdir ;; -esac - -# Do not use `cd foo && pwd` to compute absolute paths, because -# the directories may not exist. -case `pwd` in -.) ac_abs_builddir="$ac_dir";; -*) - case "$ac_dir" in - .) ac_abs_builddir=`pwd`;; - [\\/]* | ?:[\\/]* ) ac_abs_builddir="$ac_dir";; - *) ac_abs_builddir=`pwd`/"$ac_dir";; - esac;; -esac -case $ac_abs_builddir in -.) ac_abs_top_builddir=${ac_top_builddir}.;; -*) - case ${ac_top_builddir}. in - .) ac_abs_top_builddir=$ac_abs_builddir;; - [\\/]* | ?:[\\/]* ) ac_abs_top_builddir=${ac_top_builddir}.;; - *) ac_abs_top_builddir=$ac_abs_builddir/${ac_top_builddir}.;; - esac;; -esac -case $ac_abs_builddir in -.) ac_abs_srcdir=$ac_srcdir;; -*) - case $ac_srcdir in - .) ac_abs_srcdir=$ac_abs_builddir;; - [\\/]* | ?:[\\/]* ) ac_abs_srcdir=$ac_srcdir;; - *) ac_abs_srcdir=$ac_abs_builddir/$ac_srcdir;; - esac;; + ac_top_srcdir=$srcdir + ac_abs_top_srcdir=$srcdir ;; + *) # Relative name. + ac_srcdir=$ac_top_build_prefix$srcdir$ac_dir_suffix + ac_top_srcdir=$ac_top_build_prefix$srcdir + ac_abs_top_srcdir=$ac_pwd/$srcdir ;; esac -case $ac_abs_builddir in -.) ac_abs_top_srcdir=$ac_top_srcdir;; -*) - case $ac_top_srcdir in - .) ac_abs_top_srcdir=$ac_abs_builddir;; - [\\/]* | ?:[\\/]* ) ac_abs_top_srcdir=$ac_top_srcdir;; - *) ac_abs_top_srcdir=$ac_abs_builddir/$ac_top_srcdir;; - esac;; -esac - - cd $ac_dir - # Check for guested configure; otherwise get Cygnus style configure. - if test -f $ac_srcdir/configure.gnu; then - echo - $SHELL $ac_srcdir/configure.gnu --help=recursive - elif test -f $ac_srcdir/configure; then - echo - $SHELL $ac_srcdir/configure --help=recursive - elif test -f $ac_srcdir/configure.ac || - test -f $ac_srcdir/configure.in; then - echo - $ac_configure --help +ac_abs_srcdir=$ac_abs_top_srcdir$ac_dir_suffix + + cd "$ac_dir" || { ac_status=$?; continue; } + # Check for guested configure. + if test -f "$ac_srcdir/configure.gnu"; then + echo && + $SHELL "$ac_srcdir/configure.gnu" --help=recursive + elif test -f "$ac_srcdir/configure"; then + echo && + $SHELL "$ac_srcdir/configure" --help=recursive else - echo "$as_me: WARNING: no configuration information is in $ac_dir" >&2 - fi - cd $ac_popdir + $as_echo "$as_me: WARNING: no configuration information is in $ac_dir" >&2 + fi || ac_status=$? + cd "$ac_pwd" || { ac_status=$?; break; } done fi -test -n "$ac_init_help" && exit 0 +test -n "$ac_init_help" && exit $ac_status if $ac_init_version; then cat <<\_ACEOF +configure +generated by GNU Autoconf 2.69 -Copyright (C) 2003 Free Software Foundation, Inc. +Copyright (C) 2012 Free Software Foundation, Inc. This configure script is free software; the Free Software Foundation gives unlimited permission to copy, distribute and modify it. _ACEOF - exit 0 + exit fi -exec 5>config.log -cat >&5 <<_ACEOF + +## ------------------------ ## +## Autoconf initialization. ## +## ------------------------ ## +cat >config.log <<_ACEOF This file contains any messages produced by compilers while running configure, to aid debugging if configure makes a mistake. It was created by $as_me, which was -generated by GNU Autoconf 2.59. Invocation command line was +generated by GNU Autoconf 2.69. Invocation command line was $ $0 $@ _ACEOF +exec 5>>config.log { cat <<_ASUNAME ## --------- ## @@ -916,7 +1349,7 @@ uname -v = `(uname -v) 2>/dev/null || echo unknown` /bin/arch = `(/bin/arch) 2>/dev/null || echo unknown` /usr/bin/arch -k = `(/usr/bin/arch -k) 2>/dev/null || echo unknown` /usr/convex/getsysinfo = `(/usr/convex/getsysinfo) 2>/dev/null || echo unknown` -hostinfo = `(hostinfo) 2>/dev/null || echo unknown` +/usr/bin/hostinfo = `(/usr/bin/hostinfo) 2>/dev/null || echo unknown` /bin/machine = `(/bin/machine) 2>/dev/null || echo unknown` /usr/bin/oslevel = `(/usr/bin/oslevel) 2>/dev/null || echo unknown` /bin/universe = `(/bin/universe) 2>/dev/null || echo unknown` @@ -928,8 +1361,9 @@ for as_dir in $PATH do IFS=$as_save_IFS test -z "$as_dir" && as_dir=. - echo "PATH: $as_dir" -done + $as_echo "PATH: $as_dir" + done +IFS=$as_save_IFS } >&5 @@ -951,7 +1385,6 @@ _ACEOF ac_configure_args= ac_configure_args0= ac_configure_args1= -ac_sep= ac_must_keep_next=false for ac_pass in 1 2 do @@ -962,13 +1395,13 @@ do -q | -quiet | --quiet | --quie | --qui | --qu | --q \ | -silent | --silent | --silen | --sile | --sil) continue ;; - *" "*|*" "*|*[\[\]\~\#\$\^\&\*\(\)\{\}\\\|\;\<\>\?\"\']*) - ac_arg=`echo "$ac_arg" | sed "s/'/'\\\\\\\\''/g"` ;; + *\'*) + ac_arg=`$as_echo "$ac_arg" | sed "s/'/'\\\\\\\\''/g"` ;; esac case $ac_pass in - 1) ac_configure_args0="$ac_configure_args0 '$ac_arg'" ;; + 1) as_fn_append ac_configure_args0 " '$ac_arg'" ;; 2) - ac_configure_args1="$ac_configure_args1 '$ac_arg'" + as_fn_append ac_configure_args1 " '$ac_arg'" if test $ac_must_keep_next = true; then ac_must_keep_next=false # Got value, back to normal. else @@ -984,104 +1417,115 @@ do -* ) ac_must_keep_next=true ;; esac fi - ac_configure_args="$ac_configure_args$ac_sep'$ac_arg'" - # Get rid of the leading space. - ac_sep=" " + as_fn_append ac_configure_args " '$ac_arg'" ;; esac done done -$as_unset ac_configure_args0 || test "${ac_configure_args0+set}" != set || { ac_configure_args0=; export ac_configure_args0; } -$as_unset ac_configure_args1 || test "${ac_configure_args1+set}" != set || { ac_configure_args1=; export ac_configure_args1; } +{ ac_configure_args0=; unset ac_configure_args0;} +{ ac_configure_args1=; unset ac_configure_args1;} # When interrupted or exit'd, cleanup temporary files, and complete # config.log. 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+ esac + case $ac_var in #( + _ | IFS | as_nl) ;; #( + BASH_ARGV | BASH_SOURCE) eval $ac_var= ;; #( + *) { eval $ac_var=; unset $ac_var;} ;; + esac ;; + esac + done (set) 2>&1 | - case `(ac_space='"'"' '"'"'; set | grep ac_space) 2>&1` in - *ac_space=\ *) + case $as_nl`(ac_space='\'' '\''; set) 2>&1` in #( + *${as_nl}ac_space=\ *) sed -n \ - "s/'"'"'/'"'"'\\\\'"'"''"'"'/g; - s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1='"'"'\\2'"'"'/p" - ;; + "s/'\''/'\''\\\\'\'''\''/g; + s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1='\''\\2'\''/p" + ;; #( *) - sed -n \ - "s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1=\\2/p" + sed -n "/^[_$as_cr_alnum]*_cv_[_$as_cr_alnum]*=/p" ;; - esac; -} + esac | + sort +) echo - cat <<\_ASBOX -## ----------------- ## + $as_echo "## ----------------- ## ## Output variables. ## -## ----------------- ## -_ASBOX +## ----------------- ##" echo for ac_var in $ac_subst_vars do - eval ac_val=$`echo $ac_var` - echo "$ac_var='"'"'$ac_val'"'"'" + eval ac_val=\$$ac_var + case $ac_val in + *\'\''*) ac_val=`$as_echo "$ac_val" | sed "s/'\''/'\''\\\\\\\\'\'''\''/g"`;; + esac + $as_echo "$ac_var='\''$ac_val'\''" done | sort echo if test -n "$ac_subst_files"; then - cat <<\_ASBOX -## ------------- ## -## Output files. ## -## ------------- ## -_ASBOX + $as_echo "## ------------------- ## +## File substitutions. ## +## ------------------- ##" echo for ac_var in $ac_subst_files do - eval ac_val=$`echo $ac_var` - echo "$ac_var='"'"'$ac_val'"'"'" + eval ac_val=\$$ac_var + case $ac_val in + *\'\''*) ac_val=`$as_echo "$ac_val" | sed "s/'\''/'\''\\\\\\\\'\'''\''/g"`;; + esac + $as_echo "$ac_var='\''$ac_val'\''" done | sort echo fi if test -s confdefs.h; then - cat <<\_ASBOX -## ----------- ## + $as_echo "## ----------- ## ## confdefs.h. ## -## ----------- ## -_ASBOX +## ----------- ##" echo - sed "/^$/d" confdefs.h | sort + cat confdefs.h echo fi test "$ac_signal" != 0 && - echo "$as_me: caught signal $ac_signal" - echo "$as_me: exit $exit_status" + $as_echo "$as_me: caught signal $ac_signal" + $as_echo "$as_me: exit $exit_status" } >&5 - rm -f core *.core && - rm -rf conftest* confdefs* conf$$* $ac_clean_files && + rm -f core *.core core.conftest.* && + rm -f -r conftest* confdefs* conf$$* $ac_clean_files && exit $exit_status - ' 0 +' 0 for ac_signal in 1 2 13 15; do - trap 'ac_signal='$ac_signal'; { (exit 1); exit 1; }' $ac_signal + trap 'ac_signal='$ac_signal'; as_fn_exit 1' $ac_signal done ac_signal=0 # confdefs.h avoids OS command line length limits that DEFS can exceed. -rm -rf conftest* confdefs.h -# AIX cpp loses on an empty file, so make sure it contains at least a newline. -echo >confdefs.h +rm -f -r conftest* confdefs.h + +$as_echo "/* confdefs.h */" > confdefs.h # Predefined preprocessor variables. @@ -1089,112 +1533,137 @@ cat >>confdefs.h <<_ACEOF #define PACKAGE_NAME "$PACKAGE_NAME" _ACEOF - cat >>confdefs.h <<_ACEOF #define PACKAGE_TARNAME "$PACKAGE_TARNAME" _ACEOF - cat >>confdefs.h <<_ACEOF #define PACKAGE_VERSION "$PACKAGE_VERSION" _ACEOF - cat >>confdefs.h <<_ACEOF #define PACKAGE_STRING "$PACKAGE_STRING" _ACEOF - cat >>confdefs.h <<_ACEOF #define PACKAGE_BUGREPORT "$PACKAGE_BUGREPORT" _ACEOF +cat >>confdefs.h <<_ACEOF +#define PACKAGE_URL "$PACKAGE_URL" +_ACEOF + # Let the site file select an alternate cache file if it wants to. -# Prefer explicitly selected file to automatically selected ones. -if test -z "$CONFIG_SITE"; then - if test "x$prefix" != xNONE; then - CONFIG_SITE="$prefix/share/config.site $prefix/etc/config.site" - else - CONFIG_SITE="$ac_default_prefix/share/config.site $ac_default_prefix/etc/config.site" - fi +# Prefer an explicitly selected file to automatically selected ones. +ac_site_file1=NONE +ac_site_file2=NONE +if test -n "$CONFIG_SITE"; then + # We do not want a PATH search for config.site. + case $CONFIG_SITE in #(( + -*) ac_site_file1=./$CONFIG_SITE;; + */*) ac_site_file1=$CONFIG_SITE;; + *) ac_site_file1=./$CONFIG_SITE;; + esac +elif test "x$prefix" != xNONE; then + ac_site_file1=$prefix/share/config.site + ac_site_file2=$prefix/etc/config.site +else + ac_site_file1=$ac_default_prefix/share/config.site + ac_site_file2=$ac_default_prefix/etc/config.site fi -for ac_site_file in $CONFIG_SITE; do - if test -r "$ac_site_file"; then - { echo "$as_me:$LINENO: loading site script $ac_site_file" >&5 -echo "$as_me: loading site script $ac_site_file" >&6;} +for ac_site_file in "$ac_site_file1" "$ac_site_file2" +do + test "x$ac_site_file" = xNONE && continue + if test /dev/null != "$ac_site_file" && test -r "$ac_site_file"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: loading site script $ac_site_file" >&5 +$as_echo "$as_me: loading site script $ac_site_file" >&6;} sed 's/^/| /' "$ac_site_file" >&5 - . "$ac_site_file" + . "$ac_site_file" \ + || { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "failed to load site script $ac_site_file +See \`config.log' for more details" "$LINENO" 5; } fi done if test -r "$cache_file"; then - # Some versions of bash will fail to source /dev/null (special - # files actually), so we avoid doing that. - if test -f "$cache_file"; then - { echo "$as_me:$LINENO: loading cache $cache_file" >&5 -echo "$as_me: loading cache $cache_file" >&6;} + # Some versions of bash will fail to source /dev/null (special files + # actually), so we avoid doing that. DJGPP emulates it as a regular file. + if test /dev/null != "$cache_file" && test -f "$cache_file"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: loading cache $cache_file" >&5 +$as_echo "$as_me: loading cache $cache_file" >&6;} case $cache_file in - [\\/]* | ?:[\\/]* ) . $cache_file;; - *) . ./$cache_file;; + [\\/]* | ?:[\\/]* ) . "$cache_file";; + *) . "./$cache_file";; esac fi else - { echo "$as_me:$LINENO: creating cache $cache_file" >&5 -echo "$as_me: creating cache $cache_file" >&6;} + { $as_echo "$as_me:${as_lineno-$LINENO}: creating cache $cache_file" >&5 +$as_echo "$as_me: creating cache $cache_file" >&6;} >$cache_file fi # Check that the precious variables saved in the cache have kept the same # value. ac_cache_corrupted=false -for ac_var in `(set) 2>&1 | - sed -n 's/^ac_env_\([a-zA-Z_0-9]*\)_set=.*/\1/p'`; do +for ac_var in $ac_precious_vars; do eval ac_old_set=\$ac_cv_env_${ac_var}_set eval ac_new_set=\$ac_env_${ac_var}_set - eval ac_old_val="\$ac_cv_env_${ac_var}_value" - eval ac_new_val="\$ac_env_${ac_var}_value" + eval ac_old_val=\$ac_cv_env_${ac_var}_value + eval ac_new_val=\$ac_env_${ac_var}_value case $ac_old_set,$ac_new_set in set,) - { echo "$as_me:$LINENO: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&5 -echo "$as_me: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&5 +$as_echo "$as_me: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&2;} ac_cache_corrupted=: ;; ,set) - { echo "$as_me:$LINENO: error: \`$ac_var' was not set in the previous run" >&5 -echo "$as_me: error: \`$ac_var' was not set in the previous run" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: error: \`$ac_var' was not set in the previous run" >&5 +$as_echo "$as_me: error: \`$ac_var' was not set in the previous run" >&2;} ac_cache_corrupted=: ;; ,);; *) if test "x$ac_old_val" != "x$ac_new_val"; then - { echo "$as_me:$LINENO: error: \`$ac_var' has changed since the previous run:" >&5 -echo "$as_me: error: \`$ac_var' has changed since the previous run:" >&2;} - { echo "$as_me:$LINENO: former value: $ac_old_val" >&5 -echo "$as_me: former value: $ac_old_val" >&2;} - { echo "$as_me:$LINENO: current value: $ac_new_val" >&5 -echo "$as_me: current value: $ac_new_val" >&2;} - ac_cache_corrupted=: + # differences in whitespace do not lead to failure. + ac_old_val_w=`echo x $ac_old_val` + ac_new_val_w=`echo x $ac_new_val` + if test "$ac_old_val_w" != "$ac_new_val_w"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: error: \`$ac_var' has changed since the previous run:" >&5 +$as_echo "$as_me: error: \`$ac_var' has changed since the previous run:" >&2;} + ac_cache_corrupted=: + else + { $as_echo "$as_me:${as_lineno-$LINENO}: warning: ignoring whitespace changes in \`$ac_var' since the previous run:" >&5 +$as_echo "$as_me: warning: ignoring whitespace changes in \`$ac_var' since the previous run:" >&2;} + eval $ac_var=\$ac_old_val + fi + { $as_echo "$as_me:${as_lineno-$LINENO}: former value: \`$ac_old_val'" >&5 +$as_echo "$as_me: former value: \`$ac_old_val'" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: current value: \`$ac_new_val'" >&5 +$as_echo "$as_me: current value: \`$ac_new_val'" >&2;} fi;; esac # Pass precious variables to config.status. if test "$ac_new_set" = set; then case $ac_new_val in - *" "*|*" "*|*[\[\]\~\#\$\^\&\*\(\)\{\}\\\|\;\<\>\?\"\']*) - ac_arg=$ac_var=`echo "$ac_new_val" | sed "s/'/'\\\\\\\\''/g"` ;; + *\'*) ac_arg=$ac_var=`$as_echo "$ac_new_val" | sed "s/'/'\\\\\\\\''/g"` ;; *) ac_arg=$ac_var=$ac_new_val ;; esac case " $ac_configure_args " in *" '$ac_arg' "*) ;; # Avoid dups. Use of quotes ensures accuracy. - *) ac_configure_args="$ac_configure_args '$ac_arg'" ;; + *) as_fn_append ac_configure_args " '$ac_arg'" ;; esac fi done if $ac_cache_corrupted; then - { echo "$as_me:$LINENO: error: changes in the environment can compromise the build" >&5 -echo "$as_me: error: changes in the environment can compromise the build" >&2;} - { { echo "$as_me:$LINENO: error: run \`make distclean' and/or \`rm $cache_file' and start over" >&5 -echo "$as_me: error: run \`make distclean' and/or \`rm $cache_file' and start over" >&2;} - { (exit 1); exit 1; }; } + { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} + { $as_echo "$as_me:${as_lineno-$LINENO}: error: changes in the environment can compromise the build" >&5 +$as_echo "$as_me: error: changes in the environment can compromise the build" >&2;} + as_fn_error $? "run \`make distclean' and/or \`rm $cache_file' and start over" "$LINENO" 5 fi +## -------------------- ## +## Main body of script. ## +## -------------------- ## ac_ext=c ac_cpp='$CPP $CPPFLAGS' @@ -1205,23 +1674,6 @@ ac_compiler_gnu=$ac_cv_c_compiler_gnu - - - - - - - - - - - - - - - - - # Recover information that Tcl computed with its configure script. #-------------------------------------------------------------------- @@ -1232,22 +1684,18 @@ ac_compiler_gnu=$ac_cv_c_compiler_gnu DEF_VER=8.6 -# Check whether --with-tcl or --without-tcl was given. -if test "${with_tcl+set}" = set; then - withval="$with_tcl" - TCL_BIN_DIR=$withval +# Check whether --with-tcl was given. +if test "${with_tcl+set}" = set; then : + withval=$with_tcl; TCL_BIN_DIR=$withval else TCL_BIN_DIR=`cd ../../tcl$DEF_VER$TCL_PATCH_LEVEL/unix; pwd` -fi; +fi + if test ! -d $TCL_BIN_DIR; then - { { echo "$as_me:$LINENO: error: Tcl directory $TCL_BIN_DIR doesn't exist" >&5 -echo "$as_me: error: Tcl directory $TCL_BIN_DIR doesn't exist" >&2;} - { (exit 1); exit 1; }; } + as_fn_error $? "Tcl directory $TCL_BIN_DIR doesn't exist" "$LINENO" 5 fi if test ! -f $TCL_BIN_DIR/tclConfig.sh; then - { { echo "$as_me:$LINENO: error: There's no tclConfig.sh in $TCL_BIN_DIR; perhaps you didn't specify the Tcl *build* directory (not the toplevel Tcl directory) or you forgot to configure Tcl?" >&5 -echo "$as_me: error: There's no tclConfig.sh in $TCL_BIN_DIR; perhaps you didn't specify the Tcl *build* directory (not the toplevel Tcl directory) or you forgot to configure Tcl?" >&2;} - { (exit 1); exit 1; }; } + as_fn_error $? "There's no tclConfig.sh in $TCL_BIN_DIR; perhaps you didn't specify the Tcl *build* directory (not the toplevel Tcl directory) or you forgot to configure Tcl?" "$LINENO" 5 fi . $TCL_BIN_DIR/tclConfig.sh @@ -1261,7 +1709,8 @@ CC=$TCL_CC - ac_config_files="$ac_config_files Makefile tcl.hpj" +ac_config_files="$ac_config_files Makefile tcl.hpj" + cat >confcache <<\_ACEOF # This file is a shell script that caches the results of configure # tests run on this system so they can be shared between configure @@ -1280,39 +1729,70 @@ _ACEOF # The following way of writing the cache mishandles newlines in values, # but we know of no workaround that is simple, portable, and efficient. -# So, don't put newlines in cache variables' values. +# So, we kill variables containing newlines. # Ultrix sh set writes to stderr and can't be redirected directly, # and sets the high bit in the cache file unless we assign to the vars. -{ - (set) 2>&1 | - case `(ac_space=' '; set | grep ac_space) 2>&1` in - *ac_space=\ *) - # `set' does not quote correctly, so add quotes (double-quote - # substitution turns \\\\ into \\, and sed turns \\ into \). +( + for ac_var in `(set) 2>&1 | sed -n 's/^\([a-zA-Z_][a-zA-Z0-9_]*\)=.*/\1/p'`; do + eval ac_val=\$$ac_var + case $ac_val in #( + *${as_nl}*) + case $ac_var in #( + *_cv_*) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: cache variable $ac_var contains a newline" >&5 +$as_echo "$as_me: WARNING: cache variable $ac_var contains a newline" >&2;} ;; + esac + case $ac_var in #( + _ | IFS | as_nl) ;; #( + BASH_ARGV | BASH_SOURCE) eval $ac_var= ;; #( + *) { eval $ac_var=; unset $ac_var;} ;; + esac ;; + esac + done + + (set) 2>&1 | + case $as_nl`(ac_space=' '; set) 2>&1` in #( + *${as_nl}ac_space=\ *) + # `set' does not quote correctly, so add quotes: double-quote + # substitution turns \\\\ into \\, and sed turns \\ into \. sed -n \ "s/'/'\\\\''/g; s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1='\\2'/p" - ;; + ;; #( *) # `set' quotes correctly as required by POSIX, so do not add quotes. - sed -n \ - "s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1=\\2/p" + sed -n "/^[_$as_cr_alnum]*_cv_[_$as_cr_alnum]*=/p" ;; - esac; -} | + esac | + sort +) | sed ' + /^ac_cv_env_/b end t clear - : clear + :clear s/^\([^=]*\)=\(.*[{}].*\)$/test "${\1+set}" = set || &/ t end - /^ac_cv_env/!s/^\([^=]*\)=\(.*\)$/\1=${\1=\2}/ - : end' >>confcache -if diff $cache_file confcache >/dev/null 2>&1; then :; else - if test -w $cache_file; then - test "x$cache_file" != "x/dev/null" && echo "updating cache $cache_file" - cat confcache >$cache_file + s/^\([^=]*\)=\(.*\)$/\1=${\1=\2}/ + :end' >>confcache +if diff "$cache_file" confcache >/dev/null 2>&1; then :; else + if test -w "$cache_file"; then + if test "x$cache_file" != "x/dev/null"; then + { $as_echo "$as_me:${as_lineno-$LINENO}: updating cache $cache_file" >&5 +$as_echo "$as_me: updating cache $cache_file" >&6;} + if test ! -f "$cache_file" || test -h "$cache_file"; then + cat confcache >"$cache_file" + else + case $cache_file in #( + */* | ?:*) + mv -f confcache "$cache_file"$$ && + mv -f "$cache_file"$$ "$cache_file" ;; #( + *) + mv -f confcache "$cache_file" ;; + esac + fi + fi else - echo "not updating unwritable cache $cache_file" + { $as_echo "$as_me:${as_lineno-$LINENO}: not updating unwritable cache $cache_file" >&5 +$as_echo "$as_me: not updating unwritable cache $cache_file" >&6;} fi fi rm -f confcache @@ -1321,63 +1801,55 @@ test "x$prefix" = xNONE && prefix=$ac_default_prefix # Let make expand exec_prefix. test "x$exec_prefix" = xNONE && exec_prefix='${prefix}' -# VPATH may cause trouble with some makes, so we remove $(srcdir), -# ${srcdir} and @srcdir@ from VPATH if srcdir is ".", strip leading and -# trailing colons and then remove the whole line if VPATH becomes empty -# (actually we leave an empty line to preserve line numbers). -if test "x$srcdir" = x.; then - ac_vpsub='/^[ ]*VPATH[ ]*=/{ -s/:*\$(srcdir):*/:/; -s/:*\${srcdir}:*/:/; -s/:*@srcdir@:*/:/; -s/^\([^=]*=[ ]*\):*/\1/; -s/:*$//; -s/^[^=]*=[ ]*$//; -}' -fi - # Transform confdefs.h into DEFS. # Protect against shell expansion while executing Makefile rules. # Protect against Makefile macro expansion. # # If the first sed substitution is executed (which looks for macros that -# take arguments), then we branch to the quote section. Otherwise, +# take arguments), then branch to the quote section. Otherwise, # look for a macro that doesn't take arguments. -cat >confdef2opt.sed <<\_ACEOF +ac_script=' +:mline +/\\$/{ + N + s,\\\n,, + b mline +} t clear -: clear -s,^[ ]*#[ ]*define[ ][ ]*\([^ (][^ (]*([^)]*)\)[ ]*\(.*\),-D\1=\2,g +:clear +s/^[ ]*#[ ]*define[ ][ ]*\([^ (][^ (]*([^)]*)\)[ ]*\(.*\)/-D\1=\2/g t quote -s,^[ ]*#[ ]*define[ ][ ]*\([^ ][^ ]*\)[ ]*\(.*\),-D\1=\2,g +s/^[ ]*#[ ]*define[ ][ ]*\([^ ][^ ]*\)[ ]*\(.*\)/-D\1=\2/g t quote -d -: quote -s,[ `~#$^&*(){}\\|;'"<>?],\\&,g -s,\[,\\&,g -s,\],\\&,g -s,\$,$$,g -p -_ACEOF -# We use echo to avoid assuming a particular line-breaking character. -# The extra dot is to prevent the shell from consuming trailing -# line-breaks from the sub-command output. A line-break within -# single-quotes doesn't work because, if this script is created in a -# platform that uses two characters for line-breaks (e.g., DOS), tr -# would break. -ac_LF_and_DOT=`echo; echo .` -DEFS=`sed -n -f confdef2opt.sed confdefs.h | tr "$ac_LF_and_DOT" ' .'` -rm -f confdef2opt.sed +b any +:quote +s/[ `~#$^&*(){}\\|;'\''"<>?]/\\&/g +s/\[/\\&/g +s/\]/\\&/g +s/\$/$$/g +H +:any +${ + g + s/^\n// + s/\n/ /g + p +} +' +DEFS=`sed -n "$ac_script" confdefs.h` ac_libobjs= ac_ltlibobjs= +U= for ac_i in : $LIBOBJS; do test "x$ac_i" = x: && continue # 1. Remove the extension, and $U if already installed. - ac_i=`echo "$ac_i" | - sed 's/\$U\././;s/\.o$//;s/\.obj$//'` - # 2. Add them. - ac_libobjs="$ac_libobjs $ac_i\$U.$ac_objext" - ac_ltlibobjs="$ac_ltlibobjs $ac_i"'$U.lo' + ac_script='s/\$U\././;s/\.o$//;s/\.obj$//' + ac_i=`$as_echo "$ac_i" | sed "$ac_script"` + # 2. Prepend LIBOBJDIR. When used with automake>=1.10 LIBOBJDIR + # will be set to the directory where LIBOBJS objects are built. + as_fn_append ac_libobjs " \${LIBOBJDIR}$ac_i\$U.$ac_objext" + as_fn_append ac_ltlibobjs " \${LIBOBJDIR}$ac_i"'$U.lo' done LIBOBJS=$ac_libobjs @@ -1385,12 +1857,14 @@ LTLIBOBJS=$ac_ltlibobjs -: ${CONFIG_STATUS=./config.status} +: "${CONFIG_STATUS=./config.status}" +ac_write_fail=0 ac_clean_files_save=$ac_clean_files ac_clean_files="$ac_clean_files $CONFIG_STATUS" -{ echo "$as_me:$LINENO: creating $CONFIG_STATUS" >&5 -echo "$as_me: creating $CONFIG_STATUS" >&6;} -cat >$CONFIG_STATUS <<_ACEOF +{ $as_echo "$as_me:${as_lineno-$LINENO}: creating $CONFIG_STATUS" >&5 +$as_echo "$as_me: creating $CONFIG_STATUS" >&6;} +as_write_fail=0 +cat >$CONFIG_STATUS <<_ASEOF || as_write_fail=1 #! $SHELL # Generated by $as_me. # Run this file to recreate the current configuration. @@ -1400,81 +1874,253 @@ cat >$CONFIG_STATUS <<_ACEOF debug=false ac_cs_recheck=false ac_cs_silent=false -SHELL=\${CONFIG_SHELL-$SHELL} -_ACEOF - -cat >>$CONFIG_STATUS <<\_ACEOF -## --------------------- ## -## M4sh Initialization. ## -## --------------------- ## -# Be Bourne compatible -if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then +SHELL=\${CONFIG_SHELL-$SHELL} +export SHELL +_ASEOF +cat >>$CONFIG_STATUS <<\_ASEOF || as_write_fail=1 +## -------------------- ## +## M4sh Initialization. ## +## -------------------- ## + +# Be more Bourne compatible +DUALCASE=1; export DUALCASE # for MKS sh +if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then : emulate sh NULLCMD=: - # Zsh 3.x and 4.x performs word splitting on ${1+"$@"}, which + # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which # is contrary to our usage. Disable this feature. alias -g '${1+"$@"}'='"$@"' -elif test -n "${BASH_VERSION+set}" && (set -o posix) >/dev/null 2>&1; then - set -o posix + setopt NO_GLOB_SUBST +else + case `(set -o) 2>/dev/null` in #( + *posix*) : + set -o posix ;; #( + *) : + ;; +esac fi -DUALCASE=1; export DUALCASE # for MKS sh -# Support unset when possible. -if ( (MAIL=60; unset MAIL) || exit) >/dev/null 2>&1; then - as_unset=unset + +as_nl=' +' +export as_nl +# Printing a long string crashes Solaris 7 /usr/bin/printf. +as_echo='\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\' +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo$as_echo +# Prefer a ksh shell builtin over an external printf program on Solaris, +# but without wasting forks for bash or zsh. +if test -z "$BASH_VERSION$ZSH_VERSION" \ + && (test "X`print -r -- $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='print -r --' + as_echo_n='print -rn --' +elif (test "X`printf %s $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='printf %s\n' + as_echo_n='printf %s' else - as_unset=false + if test "X`(/usr/ucb/echo -n -n $as_echo) 2>/dev/null`" = "X-n $as_echo"; then + as_echo_body='eval /usr/ucb/echo -n "$1$as_nl"' + as_echo_n='/usr/ucb/echo -n' + else + as_echo_body='eval expr "X$1" : "X\\(.*\\)"' + as_echo_n_body='eval + arg=$1; + case $arg in #( + *"$as_nl"*) + expr "X$arg" : "X\\(.*\\)$as_nl"; + arg=`expr "X$arg" : ".*$as_nl\\(.*\\)"`;; + esac; + expr "X$arg" : "X\\(.*\\)" | tr -d "$as_nl" + ' + export as_echo_n_body + as_echo_n='sh -c $as_echo_n_body as_echo' + fi + export as_echo_body + as_echo='sh -c $as_echo_body as_echo' +fi + +# The user is always right. +if test "${PATH_SEPARATOR+set}" != set; then + PATH_SEPARATOR=: + (PATH='/bin;/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 && { + (PATH='/bin:/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 || + PATH_SEPARATOR=';' + } fi -# Work around bugs in pre-3.0 UWIN ksh. -$as_unset ENV MAIL MAILPATH +# IFS +# We need space, tab and new line, in precisely that order. Quoting is +# there to prevent editors from complaining about space-tab. +# (If _AS_PATH_WALK were called with IFS unset, it would disable word +# splitting by setting IFS to empty value.) +IFS=" "" $as_nl" + +# Find who we are. Look in the path if we contain no directory separator. +as_myself= +case $0 in #(( + *[\\/]* ) as_myself=$0 ;; + *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break + done +IFS=$as_save_IFS + + ;; +esac +# We did not find ourselves, most probably we were run as `sh COMMAND' +# in which case we are not to be found in the path. +if test "x$as_myself" = x; then + as_myself=$0 +fi +if test ! -f "$as_myself"; then + $as_echo "$as_myself: error: cannot find myself; rerun with an absolute file name" >&2 + exit 1 +fi + +# Unset variables that we do not need and which cause bugs (e.g. in +# pre-3.0 UWIN ksh). But do not cause bugs in bash 2.01; the "|| exit 1" +# suppresses any "Segmentation fault" message there. '((' could +# trigger a bug in pdksh 5.2.14. +for as_var in BASH_ENV ENV MAIL MAILPATH +do eval test x\${$as_var+set} = xset \ + && ( (unset $as_var) || exit 1) >/dev/null 2>&1 && unset $as_var || : +done PS1='$ ' PS2='> ' PS4='+ ' # NLS nuisances. -for as_var in \ - LANG LANGUAGE LC_ADDRESS LC_ALL LC_COLLATE LC_CTYPE LC_IDENTIFICATION \ - LC_MEASUREMENT LC_MESSAGES LC_MONETARY LC_NAME LC_NUMERIC LC_PAPER \ - LC_TELEPHONE LC_TIME -do - if (set +x; test -z "`(eval $as_var=C; export $as_var) 2>&1`"); then - eval $as_var=C; export $as_var - else - $as_unset $as_var +LC_ALL=C +export LC_ALL +LANGUAGE=C +export LANGUAGE + +# CDPATH. +(unset CDPATH) >/dev/null 2>&1 && unset CDPATH + + +# as_fn_error STATUS ERROR [LINENO LOG_FD] +# ---------------------------------------- +# Output "`basename $0`: error: ERROR" to stderr. If LINENO and LOG_FD are +# provided, also output the error to LOG_FD, referencing LINENO. Then exit the +# script with STATUS, using 1 if that was 0. +as_fn_error () +{ + as_status=$1; test $as_status -eq 0 && as_status=1 + if test "$4"; then + as_lineno=${as_lineno-"$3"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + $as_echo "$as_me:${as_lineno-$LINENO}: error: $2" >&$4 fi -done + $as_echo "$as_me: error: $2" >&2 + as_fn_exit $as_status +} # as_fn_error + + +# as_fn_set_status STATUS +# ----------------------- +# Set $? to STATUS, without forking. +as_fn_set_status () +{ + return $1 +} # as_fn_set_status -# Required to use basename. -if expr a : '\(a\)' >/dev/null 2>&1; then +# as_fn_exit STATUS +# ----------------- +# Exit the shell with STATUS, even in a "trap 0" or "set -e" context. +as_fn_exit () +{ + set +e + as_fn_set_status $1 + exit $1 +} # as_fn_exit + +# as_fn_unset VAR +# --------------- +# Portably unset VAR. +as_fn_unset () +{ + { eval $1=; unset $1;} +} +as_unset=as_fn_unset +# as_fn_append VAR VALUE +# ---------------------- +# Append the text in VALUE to the end of the definition contained in VAR. Take +# advantage of any shell optimizations that allow amortized linear growth over +# repeated appends, instead of the typical quadratic growth present in naive +# implementations. +if (eval "as_var=1; as_var+=2; test x\$as_var = x12") 2>/dev/null; then : + eval 'as_fn_append () + { + eval $1+=\$2 + }' +else + as_fn_append () + { + eval $1=\$$1\$2 + } +fi # as_fn_append + +# as_fn_arith ARG... +# ------------------ +# Perform arithmetic evaluation on the ARGs, and store the result in the +# global $as_val. Take advantage of shells that can avoid forks. The arguments +# must be portable across $(()) and expr. +if (eval "test \$(( 1 + 1 )) = 2") 2>/dev/null; then : + eval 'as_fn_arith () + { + as_val=$(( $* )) + }' +else + as_fn_arith () + { + as_val=`expr "$@" || test $? -eq 1` + } +fi # as_fn_arith + + +if expr a : '\(a\)' >/dev/null 2>&1 && + test "X`expr 00001 : '.*\(...\)'`" = X001; then as_expr=expr else as_expr=false fi -if (basename /) >/dev/null 2>&1 && test "X`basename / 2>&1`" = "X/"; then +if (basename -- /) >/dev/null 2>&1 && test "X`basename -- / 2>&1`" = "X/"; then as_basename=basename else as_basename=false fi +if (as_dir=`dirname -- /` && test "X$as_dir" = X/) >/dev/null 2>&1; then + as_dirname=dirname +else + as_dirname=false +fi -# Name of the executable. -as_me=`$as_basename "$0" || +as_me=`$as_basename -- "$0" || $as_expr X/"$0" : '.*/\([^/][^/]*\)/*$' \| \ X"$0" : 'X\(//\)$' \| \ - X"$0" : 'X\(/\)$' \| \ - . : '\(.\)' 2>/dev/null || -echo X/"$0" | - sed '/^.*\/\([^/][^/]*\)\/*$/{ s//\1/; q; } - /^X\/\(\/\/\)$/{ s//\1/; q; } - /^X\/\(\/\).*/{ s//\1/; q; } - s/.*/./; q'` + X"$0" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X/"$0" | + sed '/^.*\/\([^/][^/]*\)\/*$/{ + s//\1/ + q + } + /^X\/\(\/\/\)$/{ + s//\1/ + q + } + /^X\/\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` - -# PATH needs CR, and LINENO needs CR and PATH. # Avoid depending upon Character Ranges. as_cr_letters='abcdefghijklmnopqrstuvwxyz' as_cr_LETTERS='ABCDEFGHIJKLMNOPQRSTUVWXYZ' @@ -1482,148 +2128,111 @@ as_cr_Letters=$as_cr_letters$as_cr_LETTERS as_cr_digits='0123456789' as_cr_alnum=$as_cr_Letters$as_cr_digits -# The user is always right. -if test "${PATH_SEPARATOR+set}" != set; then - echo "#! /bin/sh" >conf$$.sh - echo "exit 0" >>conf$$.sh - chmod +x conf$$.sh - if (PATH="/nonexistent;."; conf$$.sh) >/dev/null 2>&1; then - PATH_SEPARATOR=';' - else - PATH_SEPARATOR=: - fi - rm -f conf$$.sh -fi - - - as_lineno_1=$LINENO - as_lineno_2=$LINENO - as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null` - test "x$as_lineno_1" != "x$as_lineno_2" && - test "x$as_lineno_3" = "x$as_lineno_2" || { - # Find who we are. Look in the path if we contain no path at all - # relative or not. - case $0 in - *[\\/]* ) as_myself=$0 ;; - *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in $PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break -done - - ;; - esac - # We did not find ourselves, most probably we were run as `sh COMMAND' - # in which case we are not to be found in the path. - if test "x$as_myself" = x; then - as_myself=$0 - fi - if test ! -f "$as_myself"; then - { { echo "$as_me:$LINENO: error: cannot find myself; rerun with an absolute path" >&5 -echo "$as_me: error: cannot find myself; rerun with an absolute path" >&2;} - { (exit 1); exit 1; }; } - fi - case $CONFIG_SHELL in - '') - as_save_IFS=$IFS; IFS=$PATH_SEPARATOR -for as_dir in /bin$PATH_SEPARATOR/usr/bin$PATH_SEPARATOR$PATH -do - IFS=$as_save_IFS - test -z "$as_dir" && as_dir=. - for as_base in sh bash ksh sh5; do - case $as_dir in - /*) - if ("$as_dir/$as_base" -c ' - as_lineno_1=$LINENO - as_lineno_2=$LINENO - as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null` - test "x$as_lineno_1" != "x$as_lineno_2" && - test "x$as_lineno_3" = "x$as_lineno_2" ') 2>/dev/null; then - $as_unset BASH_ENV || test "${BASH_ENV+set}" != set || { BASH_ENV=; export BASH_ENV; } - $as_unset ENV || test "${ENV+set}" != set || { ENV=; export ENV; } - CONFIG_SHELL=$as_dir/$as_base - export CONFIG_SHELL - exec "$CONFIG_SHELL" "$0" ${1+"$@"} - fi;; - esac - done -done -;; - esac - - # Create $as_me.lineno as a copy of $as_myself, but with $LINENO - # uniformly replaced by the line number. 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McMahon for sed's syntax. :-) - sed '=' <$as_myself | - sed ' - N - s,$,-, - : loop - s,^\(['$as_cr_digits']*\)\(.*\)[$]LINENO\([^'$as_cr_alnum'_]\),\1\2\1\3, - t loop - s,-$,, - s,^['$as_cr_digits']*\n,, - ' >$as_me.lineno && - chmod +x $as_me.lineno || - { { echo "$as_me:$LINENO: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&5 -echo "$as_me: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&2;} - { (exit 1); exit 1; }; } - - # Don't try to exec as it changes $[0], causing all sort of problems - # (the dirname of $[0] is not the place where we might find the - # original and so on. 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"cannot create directory $as_dir" + + +} # as_fn_mkdir_p if mkdir -p . 2>/dev/null; then - as_mkdir_p=: + as_mkdir_p='mkdir -p "$as_dir"' else test -d ./-p && rmdir ./-p as_mkdir_p=false fi -as_executable_p="test -f" + +# as_fn_executable_p FILE +# ----------------------- +# Test if FILE is an executable regular file. +as_fn_executable_p () +{ + test -f "$1" && test -x "$1" +} # as_fn_executable_p +as_test_x='test -x' +as_executable_p=as_fn_executable_p # Sed expression to map a string onto a valid CPP name. as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" @@ -1632,31 +2241,20 @@ as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" as_tr_sh="eval sed 'y%*+%pp%;s%[^_$as_cr_alnum]%_%g'" -# IFS -# We need space, tab and new line, in precisely that order. -as_nl=' -' -IFS=" $as_nl" - -# CDPATH. -$as_unset CDPATH - exec 6>&1 - -# Open the log real soon, to keep \$[0] and so on meaningful, and to +## ----------------------------------- ## +## Main body of $CONFIG_STATUS script. ## +## ----------------------------------- ## +_ASEOF +test $as_write_fail = 0 && chmod +x $CONFIG_STATUS || ac_write_fail=1 + +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +# Save the log message, to keep $0 and so on meaningful, and to # report actual input values of CONFIG_FILES etc. instead of their -# values after options handling. Logging --version etc. is OK. -exec 5>>config.log -{ - echo - sed 'h;s/./-/g;s/^.../## /;s/...$/ ##/;p;x;p;x' <<_ASBOX -## Running $as_me. ## -_ASBOX -} >&5 -cat >&5 <<_CSEOF - +# values after options handling. +ac_log=" This file was extended by $as_me, which was -generated by GNU Autoconf 2.59. Invocation command line was +generated by GNU Autoconf 2.69. Invocation command line was CONFIG_FILES = $CONFIG_FILES CONFIG_HEADERS = $CONFIG_HEADERS @@ -1664,124 +2262,116 @@ generated by GNU Autoconf 2.59. 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Unless the files +and actions are specified as TAGs, all are instantiated by default. -Usage: $0 [OPTIONS] [FILE]... +Usage: $0 [OPTION]... [TAG]... -h, --help print this help, then exit - -V, --version print version number, then exit - -q, --quiet do not print progress messages + -V, --version print version number and configuration settings, then exit + --config print configuration, then exit + -q, --quiet, --silent + do not print progress messages -d, --debug don't remove temporary files --recheck update $as_me by reconfiguring in the same conditions - --file=FILE[:TEMPLATE] - instantiate the configuration file FILE + --file=FILE[:TEMPLATE] + instantiate the configuration file FILE Configuration files: $config_files -Report bugs to ." -_ACEOF +Report bugs to the package provider." -cat >>$CONFIG_STATUS <<_ACEOF +_ACEOF +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +ac_cs_config="`$as_echo "$ac_configure_args" | sed 's/^ //; s/[\\""\`\$]/\\\\&/g'`" ac_cs_version="\\ config.status -configured by $0, generated by GNU Autoconf 2.59, - with options \\"`echo "$ac_configure_args" | sed 's/[\\""\`\$]/\\\\&/g'`\\" +configured by $0, generated by GNU Autoconf 2.69, + with options \\"\$ac_cs_config\\" -Copyright (C) 2003 Free Software Foundation, Inc. +Copyright (C) 2012 Free Software Foundation, Inc. This config.status script is free software; the Free Software Foundation gives unlimited permission to copy, distribute and modify it." -srcdir=$srcdir + +ac_pwd='$ac_pwd' +srcdir='$srcdir' +test -n "\$AWK" || AWK=awk _ACEOF -cat >>$CONFIG_STATUS <<\_ACEOF -# If no file are specified by the user, then we need to provide default -# value. By we need to know if files were specified by the user. +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +# The default lists apply if the user does not specify any file. ac_need_defaults=: while test $# != 0 do case $1 in - --*=*) - ac_option=`expr "x$1" : 'x\([^=]*\)='` - ac_optarg=`expr "x$1" : 'x[^=]*=\(.*\)'` + --*=?*) + ac_option=`expr "X$1" : 'X\([^=]*\)='` + ac_optarg=`expr "X$1" : 'X[^=]*=\(.*\)'` ac_shift=: ;; - -*) + --*=) + ac_option=`expr "X$1" : 'X\([^=]*\)='` + ac_optarg= + ac_shift=: + ;; + *) ac_option=$1 ac_optarg=$2 ac_shift=shift ;; - *) # This is not an option, so the user has probably given explicit - # arguments. - ac_option=$1 - ac_need_defaults=false;; esac case $ac_option in # Handling of the options. -_ACEOF -cat >>$CONFIG_STATUS <<\_ACEOF -recheck | --recheck | --rechec | --reche | --rech | --rec | --re | --r) ac_cs_recheck=: ;; - --version | --vers* | -V ) - echo "$ac_cs_version"; exit 0 ;; - --he | --h) - # Conflict between --help and --header - { { echo "$as_me:$LINENO: error: ambiguous option: $1 -Try \`$0 --help' for more information." >&5 -echo "$as_me: error: ambiguous option: $1 -Try \`$0 --help' for more information." >&2;} - { (exit 1); exit 1; }; };; - --help | --hel | -h ) - echo "$ac_cs_usage"; exit 0 ;; - --debug | --d* | -d ) + --version | --versio | --versi | --vers | --ver | --ve | --v | -V ) + $as_echo "$ac_cs_version"; exit ;; + --config | --confi | --conf | --con | --co | --c ) + $as_echo "$ac_cs_config"; exit ;; + --debug | --debu | --deb | --de | --d | -d ) debug=: ;; --file | --fil | --fi | --f ) $ac_shift - CONFIG_FILES="$CONFIG_FILES $ac_optarg" - ac_need_defaults=false;; - --header | --heade | --head | --hea ) - $ac_shift - CONFIG_HEADERS="$CONFIG_HEADERS $ac_optarg" + case $ac_optarg in + *\'*) ac_optarg=`$as_echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"` ;; + '') as_fn_error $? "missing file argument" ;; + esac + as_fn_append CONFIG_FILES " '$ac_optarg'" ac_need_defaults=false;; + --he | --h | --help | --hel | -h ) + $as_echo "$ac_cs_usage"; exit ;; -q | -quiet | --quiet | --quie | --qui | --qu | --q \ | -silent | --silent | --silen | --sile | --sil | --si | --s) ac_cs_silent=: ;; # This is an error. - -*) { { echo "$as_me:$LINENO: error: unrecognized option: $1 -Try \`$0 --help' for more information." >&5 -echo "$as_me: error: unrecognized option: $1 -Try \`$0 --help' for more information." >&2;} - { (exit 1); exit 1; }; } ;; + -*) as_fn_error $? "unrecognized option: \`$1' +Try \`$0 --help' for more information." ;; - *) ac_config_targets="$ac_config_targets $1" ;; + *) as_fn_append ac_config_targets " $1" + ac_need_defaults=false ;; esac shift @@ -1795,31 +2385,45 @@ if $ac_cs_silent; then fi _ACEOF -cat >>$CONFIG_STATUS <<_ACEOF +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 if \$ac_cs_recheck; then - echo "running $SHELL $0 " $ac_configure_args \$ac_configure_extra_args " --no-create --no-recursion" >&6 - exec $SHELL $0 $ac_configure_args \$ac_configure_extra_args --no-create --no-recursion + set X $SHELL '$0' $ac_configure_args \$ac_configure_extra_args --no-create --no-recursion + shift + \$as_echo "running CONFIG_SHELL=$SHELL \$*" >&6 + CONFIG_SHELL='$SHELL' + export CONFIG_SHELL + exec "\$@" fi _ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +exec 5>>config.log +{ + echo + sed 'h;s/./-/g;s/^.../## /;s/...$/ ##/;p;x;p;x' <<_ASBOX +## Running $as_me. ## +_ASBOX + $as_echo "$ac_log" +} >&5 +_ACEOF +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +_ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 - - -cat >>$CONFIG_STATUS <<\_ACEOF +# Handling of arguments. for ac_config_target in $ac_config_targets do - case "$ac_config_target" in - # Handling of arguments. - "Makefile" ) CONFIG_FILES="$CONFIG_FILES Makefile" ;; - "tcl.hpj" ) CONFIG_FILES="$CONFIG_FILES tcl.hpj" ;; - *) { { echo "$as_me:$LINENO: error: invalid argument: $ac_config_target" >&5 -echo "$as_me: error: invalid argument: $ac_config_target" >&2;} - { (exit 1); exit 1; }; };; + case $ac_config_target in + "Makefile") CONFIG_FILES="$CONFIG_FILES Makefile" ;; + "tcl.hpj") CONFIG_FILES="$CONFIG_FILES tcl.hpj" ;; + + *) as_fn_error $? "invalid argument: \`$ac_config_target'" "$LINENO" 5;; esac done + # If the user did not use the arguments to specify the items to instantiate, # then the envvar interface is used. Set only those that are not. # We use the long form for the default assignment because of an extremely @@ -1829,323 +2433,414 @@ if $ac_need_defaults; then fi # Have a temporary directory for convenience. Make it in the build tree -# simply because there is no reason to put it here, and in addition, +# simply because there is no reason against having it here, and in addition, # creating and moving files from /tmp can sometimes cause problems. -# Create a temporary directory, and hook for its removal unless debugging. +# Hook for its removal unless debugging. +# Note that there is a small window in which the directory will not be cleaned: +# after its creation but before its name has been assigned to `$tmp'. $debug || { - trap 'exit_status=$?; rm -rf $tmp && exit $exit_status' 0 - trap '{ (exit 1); exit 1; }' 1 2 13 15 + tmp= ac_tmp= + trap 'exit_status=$? + : "${ac_tmp:=$tmp}" + { test ! -d "$ac_tmp" || rm -fr "$ac_tmp"; } && exit $exit_status +' 0 + trap 'as_fn_exit 1' 1 2 13 15 } - # Create a (secure) tmp directory for tmp files. { - tmp=`(umask 077 && mktemp -d -q "./confstatXXXXXX") 2>/dev/null` && - test -n "$tmp" && test -d "$tmp" + tmp=`(umask 077 && mktemp -d "./confXXXXXX") 2>/dev/null` && + test -d "$tmp" } || { - tmp=./confstat$$-$RANDOM - (umask 077 && mkdir $tmp) -} || + tmp=./conf$$-$RANDOM + (umask 077 && mkdir "$tmp") +} || as_fn_error $? "cannot create a temporary directory in ." "$LINENO" 5 +ac_tmp=$tmp + +# Set up the scripts for CONFIG_FILES section. +# No need to generate them if there are no CONFIG_FILES. +# This happens for instance with `./config.status config.h'. +if test -n "$CONFIG_FILES"; then + + +ac_cr=`echo X | tr X '\015'` +# On cygwin, bash can eat \r inside `` if the user requested igncr. +# But we know of no other shell where ac_cr would be empty at this +# point, so we can use a bashism as a fallback. +if test "x$ac_cr" = x; then + eval ac_cr=\$\'\\r\' +fi +ac_cs_awk_cr=`$AWK 'BEGIN { print "a\rb" }' /dev/null` +if test "$ac_cs_awk_cr" = "a${ac_cr}b"; then + ac_cs_awk_cr='\\r' +else + ac_cs_awk_cr=$ac_cr +fi + +echo 'BEGIN {' >"$ac_tmp/subs1.awk" && +_ACEOF + + { - echo "$me: cannot create a temporary directory in ." >&2 - { (exit 1); exit 1; } + echo "cat >conf$$subs.awk <<_ACEOF" && + echo "$ac_subst_vars" | sed 's/.*/&!$&$ac_delim/' && + echo "_ACEOF" +} >conf$$subs.sh || + as_fn_error $? "could not make $CONFIG_STATUS" "$LINENO" 5 +ac_delim_num=`echo "$ac_subst_vars" | grep -c '^'` +ac_delim='%!_!# ' +for ac_last_try in false false false false false :; do + . ./conf$$subs.sh || + as_fn_error $? "could not make $CONFIG_STATUS" "$LINENO" 5 + + ac_delim_n=`sed -n "s/.*$ac_delim\$/X/p" conf$$subs.awk | grep -c X` + if test $ac_delim_n = $ac_delim_num; then + break + elif $ac_last_try; then + as_fn_error $? "could not make $CONFIG_STATUS" "$LINENO" 5 + else + ac_delim="$ac_delim!$ac_delim _$ac_delim!! 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"could not setup config files machinery" "$LINENO" 5 _ACEOF -cat >>$CONFIG_STATUS <<_ACEOF +# VPATH may cause trouble with some makes, so we remove sole $(srcdir), +# ${srcdir} and @srcdir@ entries from VPATH if srcdir is ".", strip leading and +# trailing colons and then remove the whole line if VPATH becomes empty +# (actually we leave an empty line to preserve line numbers). +if test "x$srcdir" = x.; then + ac_vpsub='/^[ ]*VPATH[ ]*=[ ]*/{ +h +s/// +s/^/:/ +s/[ ]*$/:/ +s/:\$(srcdir):/:/g +s/:\${srcdir}:/:/g +s/:@srcdir@:/:/g +s/^:*// +s/:*$// +x +s/\(=[ ]*\).*/\1/ +G +s/\n// +s/^[^=]*=[ ]*$// +}' +fi + +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +fi # test -n "$CONFIG_FILES" -# -# CONFIG_FILES section. -# -# No need to generate the scripts if there are no CONFIG_FILES. -# This happens for instance when ./config.status config.h -if test -n "\$CONFIG_FILES"; then - # Protect against being on the right side of a sed subst in config.status. - sed 's/,@/@@/; s/@,/@@/; s/,;t t\$/@;t t/; /@;t t\$/s/[\\\\&,]/\\\\&/g; - s/@@/,@/; s/@@/@,/; s/@;t t\$/,;t t/' >\$tmp/subs.sed <<\\CEOF -s,@SHELL@,$SHELL,;t t -s,@PATH_SEPARATOR@,$PATH_SEPARATOR,;t t -s,@PACKAGE_NAME@,$PACKAGE_NAME,;t t -s,@PACKAGE_TARNAME@,$PACKAGE_TARNAME,;t t -s,@PACKAGE_VERSION@,$PACKAGE_VERSION,;t t -s,@PACKAGE_STRING@,$PACKAGE_STRING,;t t -s,@PACKAGE_BUGREPORT@,$PACKAGE_BUGREPORT,;t t -s,@exec_prefix@,$exec_prefix,;t t -s,@prefix@,$prefix,;t t -s,@program_transform_name@,$program_transform_name,;t t -s,@bindir@,$bindir,;t t -s,@sbindir@,$sbindir,;t t -s,@libexecdir@,$libexecdir,;t t -s,@datadir@,$datadir,;t t -s,@sysconfdir@,$sysconfdir,;t t -s,@sharedstatedir@,$sharedstatedir,;t t -s,@localstatedir@,$localstatedir,;t t -s,@libdir@,$libdir,;t t -s,@includedir@,$includedir,;t t -s,@oldincludedir@,$oldincludedir,;t t -s,@infodir@,$infodir,;t t -s,@mandir@,$mandir,;t t -s,@build_alias@,$build_alias,;t t -s,@host_alias@,$host_alias,;t t -s,@target_alias@,$target_alias,;t t -s,@DEFS@,$DEFS,;t t -s,@ECHO_C@,$ECHO_C,;t t -s,@ECHO_N@,$ECHO_N,;t t -s,@ECHO_T@,$ECHO_T,;t t -s,@LIBS@,$LIBS,;t t -s,@TCL_WIN_VERSION@,$TCL_WIN_VERSION,;t t -s,@CC@,$CC,;t t -s,@TCL_VERSION@,$TCL_VERSION,;t t -s,@TCL_PATCH_LEVEL@,$TCL_PATCH_LEVEL,;t t -s,@TCL_SRC_DIR@,$TCL_SRC_DIR,;t t -s,@TCL_BIN_DIR@,$TCL_BIN_DIR,;t t -s,@LIBOBJS@,$LIBOBJS,;t t -s,@LTLIBOBJS@,$LTLIBOBJS,;t t -CEOF +eval set X " :F $CONFIG_FILES " +shift +for ac_tag +do + case $ac_tag in + :[FHLC]) ac_mode=$ac_tag; continue;; + esac + case $ac_mode$ac_tag in + :[FHL]*:*);; + :L* | :C*:*) as_fn_error $? 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"could not create $ac_file" "$LINENO" 5 + +test -z "$ac_datarootdir_hack$ac_datarootdir_seen" && + { ac_out=`sed -n '/\${datarootdir}/p' "$ac_tmp/out"`; test -n "$ac_out"; } && + { ac_out=`sed -n '/^[ ]*datarootdir[ ]*:*=/p' \ + "$ac_tmp/out"`; test -z "$ac_out"; } && + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: $ac_file contains a reference to the variable \`datarootdir' +which seems to be undefined. Please make sure it is defined" >&5 +$as_echo "$as_me: WARNING: $ac_file contains a reference to the variable \`datarootdir' +which seems to be undefined. Please make sure it is defined" >&2;} + + rm -f "$ac_tmp/stdin" + case $ac_file in + -) cat "$ac_tmp/out" && rm -f "$ac_tmp/out";; + *) rm -f "$ac_file" && mv "$ac_tmp/out" "$ac_file";; + esac \ + || as_fn_error $? "could not create $ac_file" "$LINENO" 5 + ;; -done -_ACEOF -cat >>$CONFIG_STATUS <<\_ACEOF -{ (exit 0); exit 0; } + esac + +done # for ac_tag + + +as_fn_exit 0 _ACEOF -chmod +x $CONFIG_STATUS ac_clean_files=$ac_clean_files_save +test $ac_write_fail = 0 || + as_fn_error $? "write failure creating $CONFIG_STATUS" "$LINENO" 5 + # configure is writing to config.log, and then calls config.status. # config.status does its own redirection, appending to config.log. @@ -2165,6 +2860,10 @@ if test "$no_create" != yes; then exec 5>>config.log # Use ||, not &&, to avoid exiting from the if with $? = 1, which # would make configure fail if this is the last instruction. - $ac_cs_success || { (exit 1); exit 1; } + $ac_cs_success || as_fn_exit 1 +fi +if test -n "$ac_unrecognized_opts" && test "$enable_option_checking" != no; then + { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: unrecognized options: $ac_unrecognized_opts" >&5 +$as_echo "$as_me: WARNING: unrecognized options: $ac_unrecognized_opts" >&2;} fi diff --git a/tools/configure.ac b/tools/configure.ac new file mode 100644 index 0000000..3caa141 --- /dev/null +++ b/tools/configure.ac @@ -0,0 +1,35 @@ +dnl This file is an input file used by the GNU "autoconf" program to +dnl generate the file "configure", which is run to configure the +dnl Makefile in this directory. +AC_INIT(man2tcl.c) +AC_PREREQ(2.69) + +# Recover information that Tcl computed with its configure script. + +#-------------------------------------------------------------------- +# See if there was a command-line option for where Tcl is; if +# not, assume that its top-level directory is a sibling of ours. +#-------------------------------------------------------------------- + +DEF_VER=8.7 + +AC_ARG_WITH(tcl, [ --with-tcl=DIR use Tcl $DEF_VER binaries from DIR], TCL_BIN_DIR=$withval, TCL_BIN_DIR=`cd ../../tcl$DEF_VER$TCL_PATCH_LEVEL/unix; pwd`) +if test ! -d $TCL_BIN_DIR; then + AC_MSG_ERROR(Tcl directory $TCL_BIN_DIR doesn't exist) +fi +if test ! -f $TCL_BIN_DIR/tclConfig.sh; then + AC_MSG_ERROR(There's no tclConfig.sh in $TCL_BIN_DIR; perhaps you didn't specify the Tcl *build* directory (not the toplevel Tcl directory) or you forgot to configure Tcl?) +fi + +. $TCL_BIN_DIR/tclConfig.sh + +TCL_WIN_VERSION=$TCL_MAJOR_VERSION$TCL_MINOR_VERSION +AC_SUBST(TCL_WIN_VERSION) +CC=$TCL_CC +AC_SUBST(CC) +AC_SUBST(TCL_VERSION) +AC_SUBST(TCL_PATCH_LEVEL) +AC_SUBST(TCL_SRC_DIR) +AC_SUBST(TCL_BIN_DIR) + +AC_OUTPUT(Makefile tcl.hpj) diff --git a/tools/configure.in b/tools/configure.in deleted file mode 100644 index 6aebcaa..0000000 --- a/tools/configure.in +++ /dev/null @@ -1,35 +0,0 @@ -dnl This file is an input file used by the GNU "autoconf" program to -dnl generate the file "configure", which is run to configure the -dnl Makefile in this directory. -AC_INIT(man2tcl.c) -AC_PREREQ(2.59) - -# Recover information that Tcl computed with its configure script. - -#-------------------------------------------------------------------- -# See if there was a command-line option for where Tcl is; if -# not, assume that its top-level directory is a sibling of ours. -#-------------------------------------------------------------------- - -DEF_VER=8.6 - -AC_ARG_WITH(tcl, [ --with-tcl=DIR use Tcl $DEF_VER binaries from DIR], TCL_BIN_DIR=$withval, TCL_BIN_DIR=`cd ../../tcl$DEF_VER$TCL_PATCH_LEVEL/unix; pwd`) -if test ! -d $TCL_BIN_DIR; then - AC_MSG_ERROR(Tcl directory $TCL_BIN_DIR doesn't exist) -fi -if test ! -f $TCL_BIN_DIR/tclConfig.sh; then - AC_MSG_ERROR(There's no tclConfig.sh in $TCL_BIN_DIR; perhaps you didn't specify the Tcl *build* directory (not the toplevel Tcl directory) or you forgot to configure Tcl?) -fi - -. $TCL_BIN_DIR/tclConfig.sh - -TCL_WIN_VERSION=$TCL_MAJOR_VERSION$TCL_MINOR_VERSION -AC_SUBST(TCL_WIN_VERSION) -CC=$TCL_CC -AC_SUBST(CC) -AC_SUBST(TCL_VERSION) -AC_SUBST(TCL_PATCH_LEVEL) -AC_SUBST(TCL_SRC_DIR) -AC_SUBST(TCL_BIN_DIR) - -AC_OUTPUT(Makefile tcl.hpj) diff --git a/tools/tcltk-man2html.tcl b/tools/tcltk-man2html.tcl index 1ceceb9..6d899a0 100755 --- a/tools/tcltk-man2html.tcl +++ b/tools/tcltk-man2html.tcl @@ -667,11 +667,7 @@ try { # ... but try to extract (name, version) from subdir contents try { - try { - set f [open [file join $pkgsDir $dir configure.in]] - } trap {POSIX ENOENT} {} { - set f [open [file join $pkgsDir $dir configure.ac]] - } + set f [open [file join $pkgsDir $dir configure.ac]] foreach line [split [read $f] \n] { if {2 == [scan $line \ { AC_INIT ( [%[^]]] , [%[^]]] ) } n v]} { diff --git a/unix/Makefile.in b/unix/Makefile.in index bc73118..570bce0 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -171,7 +171,7 @@ TCLTEST_EXE = tcltest${EXE_SUFFIX} NATIVE_TCLSH = @TCLSH_PROG@ # The symbols below provide support for dynamic loading and shared libraries. -# See configure.in for a description of what the symbols mean. The values of +# See configure.ac for a description of what the symbols mean. The values of # the symbols are normally set by the configure script. You shouldn't normally # need to modify any of these definitions by hand. @@ -1711,7 +1711,7 @@ tclOOStubLib.o: $(GENERIC_DIR)/tclOOStubLib.c # Propagate configure args like --enable-64bit to package configure PKG_CFG_ARGS = @PKG_CFG_ARGS@ # If PKG_DIR is changed to a different relative depth to the build dir, need -# to adapt the ../.. relative paths below and at the top of configure.in (we +# to adapt the ../.. relative paths below and at the top of configure.ac (we # cannot use absolute paths due to issues in nested configure when path to # build dir contains spaces). PKG_DIR = ./pkgs @@ -1944,7 +1944,7 @@ DISTROOT = /tmp/dist DISTNAME = tcl${VERSION}${PATCH_LEVEL} ZIPNAME = tcl${MAJOR_VERSION}${MINOR_VERSION}${PATCH_LEVEL}-src.zip DISTDIR = $(DISTROOT)/$(DISTNAME) -$(UNIX_DIR)/configure: $(UNIX_DIR)/configure.in $(UNIX_DIR)/tcl.m4 \ +$(UNIX_DIR)/configure: $(UNIX_DIR)/configure.ac $(UNIX_DIR)/tcl.m4 \ $(UNIX_DIR)/aclocal.m4 cd $(UNIX_DIR); autoconf $(MAC_OSX_DIR)/configure: $(MAC_OSX_DIR)/configure.ac $(UNIX_DIR)/configure @@ -1958,14 +1958,14 @@ dist: $(UNIX_DIR)/configure $(UNIX_DIR)/tclConfig.h.in $(UNIX_DIR)/tcl.pc.in $(M cp -p $(UNIX_DIR)/*.[ch] $(DISTDIR)/unix cp $(UNIX_DIR)/Makefile.in $(DISTDIR)/unix chmod 664 $(DISTDIR)/unix/Makefile.in - cp $(UNIX_DIR)/configure $(UNIX_DIR)/configure.in \ + cp $(UNIX_DIR)/configure $(UNIX_DIR)/configure.ac \ $(UNIX_DIR)/tcl.m4 $(UNIX_DIR)/aclocal.m4 \ $(UNIX_DIR)/tclConfig.sh.in $(UNIX_DIR)/tclooConfig.sh \ $(UNIX_DIR)/install-sh \ $(UNIX_DIR)/README $(UNIX_DIR)/ldAix $(UNIX_DIR)/tcl.spec \ $(UNIX_DIR)/installManPage $(UNIX_DIR)/tclConfig.h.in \ $(UNIX_DIR)/tcl.pc.in $(DISTDIR)/unix - chmod 775 $(DISTDIR)/unix/configure $(DISTDIR)/unix/configure.in + chmod 775 $(DISTDIR)/unix/configure $(DISTDIR)/unix/configure.ac chmod 775 $(DISTDIR)/unix/ldAix @mkdir $(DISTDIR)/generic cp -p $(GENERIC_DIR)/*.[cdh] $(DISTDIR)/generic @@ -2010,7 +2010,7 @@ dist: $(UNIX_DIR)/configure $(UNIX_DIR)/tclConfig.h.in $(UNIX_DIR)/tcl.pc.in $(M $(DISTDIR)/tests @mkdir $(DISTDIR)/win cp $(TOP_DIR)/win/Makefile.in $(DISTDIR)/win - cp $(TOP_DIR)/win/configure.in $(TOP_DIR)/win/configure \ + cp $(TOP_DIR)/win/configure.ac $(TOP_DIR)/win/configure \ $(TOP_DIR)/win/tclConfig.sh.in $(TOP_DIR)/win/tclooConfig.sh \ $(TOP_DIR)/win/tcl.m4 $(TOP_DIR)/win/aclocal.m4 \ $(TOP_DIR)/win/tclsh.exe.manifest.in \ @@ -2044,7 +2044,7 @@ dist: $(UNIX_DIR)/configure $(UNIX_DIR)/tclConfig.h.in $(UNIX_DIR)/tcl.pc.in $(M $(UNIX_DIR)/dltest/README $(DISTDIR)/unix/dltest @mkdir $(DISTDIR)/tools cp -p $(TOOL_DIR)/Makefile.in $(TOOL_DIR)/README \ - $(TOOL_DIR)/configure $(TOOL_DIR)/configure.in \ + $(TOOL_DIR)/configure $(TOOL_DIR)/configure.ac \ $(TOOL_DIR)/*.tcl $(TOOL_DIR)/man2tcl.c \ $(TOOL_DIR)/*.bmp $(TOOL_DIR)/tcl.hpj.in \ $(DISTDIR)/tools diff --git a/unix/configure.ac b/unix/configure.ac new file mode 100644 index 0000000..41a1f62 --- /dev/null +++ b/unix/configure.ac @@ -0,0 +1,998 @@ +#! /bin/bash -norc +dnl This file is an input file used by the GNU "autoconf" program to +dnl generate the file "configure", which is run during Tcl installation +dnl to configure the system for the local environment. + +AC_INIT([tcl],[8.7]) +AC_PREREQ(2.69) + +dnl This is only used when included from macosx/configure.ac +m4_ifdef([SC_USE_CONFIG_HEADERS], [ + AC_CONFIG_HEADERS([tclConfig.h:../unix/tclConfig.h.in]) + AC_CONFIG_COMMANDS_PRE([DEFS="-DHAVE_TCL_CONFIG_H -imacros tclConfig.h"]) + AH_TOP([ + #ifndef _TCLCONFIG + #define _TCLCONFIG]) + AH_BOTTOM([ + /* Undef unused package specific autoheader defines so that we can + * include both tclConfig.h and tkConfig.h at the same time: */ + /* override */ #undef PACKAGE_NAME + /* override */ #undef PACKAGE_STRING + /* override */ #undef PACKAGE_TARNAME + #endif /* _TCLCONFIG */]) +]) + +TCL_VERSION=8.7 +TCL_MAJOR_VERSION=8 +TCL_MINOR_VERSION=7 +TCL_PATCH_LEVEL="a0" +VERSION=${TCL_VERSION} + +EXTRA_INSTALL_BINARIES=${EXTRA_INSTALL_BINARIES:-"@:"} +EXTRA_BUILD_HTML=${EXTRA_BUILD_HTML:-"@:"} + +#------------------------------------------------------------------------ +# Setup configure arguments for bundled packages +#------------------------------------------------------------------------ + +PKG_CFG_ARGS="$ac_configure_args ${PKG_CFG_ARGS}" + +if test -r "$cache_file" -a -f "$cache_file"; then + case $cache_file in + [[\\/]]* | ?:[[\\/]]* ) pkg_cache_file=$cache_file ;; + *) pkg_cache_file=../../$cache_file ;; + esac + PKG_CFG_ARGS="${PKG_CFG_ARGS} --cache-file=$pkg_cache_file" +fi + +#------------------------------------------------------------------------ +# Empty slate for bundled packages, to avoid stale configuration +#------------------------------------------------------------------------ +#rm -Rf pkgs +if test -f Makefile; then + make distclean-packages +fi + +#------------------------------------------------------------------------ +# Handle the --prefix=... option +#------------------------------------------------------------------------ + +if test "${prefix}" = "NONE"; then + prefix=/usr/local +fi +if test "${exec_prefix}" = "NONE"; then + exec_prefix=$prefix +fi +# Make sure srcdir is fully qualified! +srcdir="`cd "$srcdir" ; pwd`" +TCL_SRC_DIR="`cd "$srcdir"/..; pwd`" + +#------------------------------------------------------------------------ +# Compress and/or soft link the manpages? +#------------------------------------------------------------------------ + +SC_CONFIG_MANPAGES + +#------------------------------------------------------------------------ +# Standard compiler checks +#------------------------------------------------------------------------ + +# If the user did not set CFLAGS, set it now to keep +# the AC_PROG_CC macro from adding "-g -O2". +if test "${CFLAGS+set}" != "set" ; then + CFLAGS="" +fi + +AC_PROG_CC +AC_C_INLINE + +#-------------------------------------------------------------------- +# Supply substitutes for missing POSIX header files. Special notes: +# - stdlib.h doesn't define strtol, strtoul, or +# strtod insome versions of SunOS +# - some versions of string.h don't declare procedures such +# as strstr +# Do this early, otherwise an autoconf bug throws errors on configure +#-------------------------------------------------------------------- + +SC_MISSING_POSIX_HEADERS + +#-------------------------------------------------------------------- +# Determines the correct executable file extension (.exe) +#-------------------------------------------------------------------- + +AC_EXEEXT + +#------------------------------------------------------------------------ +# If we're using GCC, see if the compiler understands -pipe. If so, use it. +# It makes compiling go faster. (This is only a performance feature.) +#------------------------------------------------------------------------ + +if test -z "$no_pipe" && test -n "$GCC"; then + AC_CACHE_CHECK([if the compiler understands -pipe], + tcl_cv_cc_pipe, [ + hold_cflags=$CFLAGS; CFLAGS="$CFLAGS -pipe" + AC_TRY_COMPILE(,, tcl_cv_cc_pipe=yes, tcl_cv_cc_pipe=no) + CFLAGS=$hold_cflags]) + if test $tcl_cv_cc_pipe = yes; then + CFLAGS="$CFLAGS -pipe" + fi +fi + +#------------------------------------------------------------------------ +# Threads support +#------------------------------------------------------------------------ + +SC_ENABLE_THREADS + +#------------------------------------------------------------------------ +# Embedded configuration information, encoding to use for the values, TIP #59 +#------------------------------------------------------------------------ + +SC_TCL_CFG_ENCODING + +#-------------------------------------------------------------------- +# Look for libraries that we will need when compiling the Tcl shell +#-------------------------------------------------------------------- + +SC_TCL_LINK_LIBS + +# Add the threads support libraries +LIBS="$LIBS$THREADS_LIBS" + +SC_ENABLE_SHARED + +#-------------------------------------------------------------------- +# Look for a native installed tclsh binary (if available) +# If one cannot be found then use the binary we build (fails for +# cross compiling). This is used for NATIVE_TCLSH in Makefile. +#-------------------------------------------------------------------- + +SC_PROG_TCLSH +if test "$TCLSH_PROG" = ""; then + TCLSH_PROG='./${TCL_EXE}' +fi + +#------------------------------------------------------------------------ +# Add stuff for zlib +#------------------------------------------------------------------------ + +zlib_ok=yes +AC_CHECK_HEADER([zlib.h],[ + AC_CHECK_TYPE([gz_header],[],[zlib_ok=no],[#include ])],[ + zlib_ok=no]) +AS_IF([test $zlib_ok = yes], [ + AC_SEARCH_LIBS([deflateSetHeader],[z],[],[ + zlib_ok=no + ])]) +AS_IF([test $zlib_ok = no], [ + AC_SUBST(ZLIB_OBJS,[\${ZLIB_OBJS}]) + AC_SUBST(ZLIB_SRCS,[\${ZLIB_SRCS}]) + AC_SUBST(ZLIB_INCLUDE,[-I\${ZLIB_DIR}]) +]) +AC_DEFINE(HAVE_ZLIB, 1, [Is there an installed zlib?]) + +#-------------------------------------------------------------------- +# The statements below define a collection of compile flags. This +# macro depends on the value of SHARED_BUILD, and should be called +# after SC_ENABLE_SHARED checks the configure switches. +#-------------------------------------------------------------------- + +SC_CONFIG_CFLAGS + +SC_ENABLE_SYMBOLS(bccdebug) + +AC_DEFINE(TCL_TOMMATH, 1, [Build libtommath?]) +AC_DEFINE(MP_PREC, 4, [Default libtommath precision.]) + +#-------------------------------------------------------------------- +# Detect what compiler flags to set for 64-bit support. +#-------------------------------------------------------------------- + +SC_TCL_EARLY_FLAGS + +SC_TCL_64BIT_FLAGS + +#-------------------------------------------------------------------- +# Check endianness because we can optimize comparisons of +# Tcl_UniChar strings to memcmp on big-endian systems. +#-------------------------------------------------------------------- + +AC_C_BIGENDIAN + +#-------------------------------------------------------------------- +# Supply substitutes for missing POSIX library procedures, or +# set flags so Tcl uses alternate procedures. +#-------------------------------------------------------------------- + +# Check if Posix compliant getcwd exists, if not we'll use getwd. +AC_CHECK_FUNCS(getcwd, , [AC_DEFINE(USEGETWD, 1, [Is getcwd Posix-compliant?])]) +# Nb: if getcwd uses popen and pwd(1) (like SunOS 4) we should really +# define USEGETWD even if the posix getcwd exists. Add a test ? + +AC_REPLACE_FUNCS(mkstemp opendir strtol waitpid) +AC_CHECK_FUNC(strerror, , [AC_DEFINE(NO_STRERROR, 1, [Do we have strerror()])]) +AC_CHECK_FUNC(getwd, , [AC_DEFINE(NO_GETWD, 1, [Do we have getwd()])]) +AC_CHECK_FUNC(wait3, , [AC_DEFINE(NO_WAIT3, 1, [Do we have wait3()])]) +AC_CHECK_FUNC(uname, , [AC_DEFINE(NO_UNAME, 1, [Do we have uname()])]) + +if test "`uname -s`" = "Darwin" && test "${TCL_THREADS}" = 1 && \ + test "`uname -r | awk -F. '{print [$]1}'`" -lt 7; then + # prior to Darwin 7, realpath is not threadsafe, so don't + # use it when threads are enabled, c.f. bug # 711232 + ac_cv_func_realpath=no +fi +AC_CHECK_FUNC(realpath, , [AC_DEFINE(NO_REALPATH, 1, [Do we have realpath()])]) + +SC_TCL_IPV6 + +#-------------------------------------------------------------------- +# Look for thread-safe variants of some library functions. +#-------------------------------------------------------------------- + +if test "${TCL_THREADS}" = 1; then + SC_TCL_GETPWUID_R + SC_TCL_GETPWNAM_R + SC_TCL_GETGRGID_R + SC_TCL_GETGRNAM_R + if test "`uname -s`" = "Darwin" && \ + test "`uname -r | awk -F. '{print [$]1}'`" -gt 5; then + # Starting with Darwin 6 (Mac OSX 10.2), gethostbyX + # are actually MT-safe as they always return pointers + # from TSD instead of static storage. + AC_DEFINE(HAVE_MTSAFE_GETHOSTBYNAME, 1, + [Do we have MT-safe gethostbyname() ?]) + AC_DEFINE(HAVE_MTSAFE_GETHOSTBYADDR, 1, + [Do we have MT-safe gethostbyaddr() ?]) + + elif test "`uname -s`" = "HP-UX" && \ + test "`uname -r|sed -e 's|B\.||' -e 's|\..*$||'`" -gt 10; then + # Starting with HPUX 11.00 (we believe), gethostbyX + # are actually MT-safe as they always return pointers + # from TSD instead of static storage. + AC_DEFINE(HAVE_MTSAFE_GETHOSTBYNAME, 1, + [Do we have MT-safe gethostbyname() ?]) + AC_DEFINE(HAVE_MTSAFE_GETHOSTBYADDR, 1, + [Do we have MT-safe gethostbyaddr() ?]) + + else + SC_TCL_GETHOSTBYNAME_R + SC_TCL_GETHOSTBYADDR_R + fi +fi + +#--------------------------------------------------------------------------- +# Check for serial port interface. +# +# termios.h is present on all POSIX systems. +# sys/ioctl.h is almost always present, though what it contains +# is system-specific. +# sys/modem.h is needed on HP-UX. +#--------------------------------------------------------------------------- + +AC_CHECK_HEADERS(termios.h) +AC_CHECK_HEADERS(sys/ioctl.h) +AC_CHECK_HEADERS(sys/modem.h) + +#-------------------------------------------------------------------- +# Include sys/select.h if it exists and if it supplies things +# that appear to be useful and aren't already in sys/types.h. +# This appears to be true only on the RS/6000 under AIX. Some +# systems like OSF/1 have a sys/select.h that's of no use, and +# other systems like SCO UNIX have a sys/select.h that's +# pernicious. If "fd_set" isn't defined anywhere then set a +# special flag. +#-------------------------------------------------------------------- + +AC_CACHE_CHECK([for fd_set in sys/types], tcl_cv_type_fd_set, [ + AC_TRY_COMPILE([#include ],[fd_set readMask, writeMask;], + tcl_cv_type_fd_set=yes, tcl_cv_type_fd_set=no)]) +tcl_ok=$tcl_cv_type_fd_set +if test $tcl_ok = no; then + AC_CACHE_CHECK([for fd_mask in sys/select], tcl_cv_grep_fd_mask, [ + AC_EGREP_HEADER(fd_mask, sys/select.h, + tcl_cv_grep_fd_mask=present, tcl_cv_grep_fd_mask=missing)]) + if test $tcl_cv_grep_fd_mask = present; then + AC_DEFINE(HAVE_SYS_SELECT_H, 1, [Should we include ?]) + tcl_ok=yes + fi +fi +if test $tcl_ok = no; then + AC_DEFINE(NO_FD_SET, 1, [Do we have fd_set?]) +fi + +#------------------------------------------------------------------------------ +# Find out all about time handling differences. +#------------------------------------------------------------------------------ + +SC_TIME_HANDLER + +#-------------------------------------------------------------------- +# Some systems (e.g., IRIX 4.0.5) lack some fields in struct stat. But +# we might be able to use fstatfs instead. Some systems (OpenBSD?) also +# lack blkcnt_t. +#-------------------------------------------------------------------- + +if test "$ac_cv_cygwin" != "yes"; then + AC_CHECK_MEMBERS([struct stat.st_blocks, struct stat.st_blksize]) +fi +AC_CHECK_TYPES([blkcnt_t]) +AC_CHECK_FUNC(fstatfs, , [AC_DEFINE(NO_FSTATFS, 1, [Do we have fstatfs()?])]) + +#-------------------------------------------------------------------- +# Some system have no memcmp or it does not work with 8 bit data, this +# checks it and add memcmp.o to LIBOBJS if needed +#-------------------------------------------------------------------- + +AC_FUNC_MEMCMP + +#-------------------------------------------------------------------- +# Some system like SunOS 4 and other BSD like systems have no memmove +# (we assume they have bcopy instead). {The replacement define is in +# compat/string.h} +#-------------------------------------------------------------------- + +AC_CHECK_FUNC(memmove, , [ + AC_DEFINE(NO_MEMMOVE, 1, [Do we have memmove()?]) + AC_DEFINE(NO_STRING_H, 1, [Do we have ?]) ]) + +#-------------------------------------------------------------------- +# On some systems strstr is broken: it returns a pointer even even if +# the original string is empty. +#-------------------------------------------------------------------- + +SC_TCL_CHECK_BROKEN_FUNC(strstr, [ + extern int strstr(); + exit(strstr("\0test", "test") ? 1 : 0); +]) + +#-------------------------------------------------------------------- +# Check for strtoul function. This is tricky because under some +# versions of AIX strtoul returns an incorrect terminator +# pointer for the string "0". +#-------------------------------------------------------------------- + +SC_TCL_CHECK_BROKEN_FUNC(strtoul, [ + extern int strtoul(); + char *term, *string = "0"; + exit(strtoul(string,&term,0) != 0 || term != string+1); +]) + +#-------------------------------------------------------------------- +# Check for the strtod function. This is tricky because in some +# versions of Linux strtod mis-parses strings starting with "+". +#-------------------------------------------------------------------- + +SC_TCL_CHECK_BROKEN_FUNC(strtod, [ + extern double strtod(); + char *term, *string = " +69"; + exit(strtod(string,&term) != 69 || term != string+4); +]) + +#-------------------------------------------------------------------- +# Under Solaris 2.4, strtod returns the wrong value for the +# terminating character under some conditions. Check for this +# and if the problem exists use a substitute procedure +# "fixstrtod" that corrects the error. +#-------------------------------------------------------------------- + +SC_BUGGY_STRTOD + +#-------------------------------------------------------------------- +# Check for various typedefs and provide substitutes if +# they don't exist. +#-------------------------------------------------------------------- + +AC_TYPE_MODE_T +AC_TYPE_PID_T +AC_TYPE_SIZE_T +AC_TYPE_UID_T + +AC_CACHE_CHECK([for socklen_t], tcl_cv_type_socklen_t, [ + AC_TRY_COMPILE([ + #include + #include + ],[ + socklen_t foo; + ],[tcl_cv_type_socklen_t=yes],[tcl_cv_type_socklen_t=no])]) +if test $tcl_cv_type_socklen_t = no; then + AC_DEFINE(socklen_t, int, [Define as int if socklen_t is not available]) +fi + +AC_CHECK_TYPE([intptr_t], [ + AC_DEFINE([HAVE_INTPTR_T], 1, [Do we have the intptr_t type?])], [ + AC_CACHE_CHECK([for pointer-size signed integer type], tcl_cv_intptr_t, [ + for tcl_cv_intptr_t in "int" "long" "long long" none; do + if test "$tcl_cv_intptr_t" != none; then + AC_COMPILE_IFELSE([AC_LANG_BOOL_COMPILE_TRY([AC_INCLUDES_DEFAULT], + [[sizeof (void *) <= sizeof ($tcl_cv_intptr_t)]])], + [tcl_ok=yes], [tcl_ok=no]) + test "$tcl_ok" = yes && break; fi + done]) + if test "$tcl_cv_intptr_t" != none; then + AC_DEFINE_UNQUOTED([intptr_t], [$tcl_cv_intptr_t], [Signed integer + type wide enough to hold a pointer.]) + fi +]) +AC_CHECK_TYPE([uintptr_t], [ + AC_DEFINE([HAVE_UINTPTR_T], 1, [Do we have the uintptr_t type?])], [ + AC_CACHE_CHECK([for pointer-size unsigned integer type], tcl_cv_uintptr_t, [ + for tcl_cv_uintptr_t in "unsigned int" "unsigned long" "unsigned long long" \ + none; do + if test "$tcl_cv_uintptr_t" != none; then + AC_COMPILE_IFELSE([AC_LANG_BOOL_COMPILE_TRY([AC_INCLUDES_DEFAULT], + [[sizeof (void *) <= sizeof ($tcl_cv_uintptr_t)]])], + [tcl_ok=yes], [tcl_ok=no]) + test "$tcl_ok" = yes && break; fi + done]) + if test "$tcl_cv_uintptr_t" != none; then + AC_DEFINE_UNQUOTED([uintptr_t], [$tcl_cv_uintptr_t], [Unsigned integer + type wide enough to hold a pointer.]) + fi +]) + +#-------------------------------------------------------------------- +# If a system doesn't have an opendir function (man, that's old!) +# then we have to supply a different version of dirent.h which +# is compatible with the substitute version of opendir that's +# provided. This version only works with V7-style directories. +#-------------------------------------------------------------------- + +AC_CHECK_FUNC(opendir, , [AC_DEFINE(USE_DIRENT2_H, 1, [May we include ?])]) + +#-------------------------------------------------------------------- +# The check below checks whether defines the type +# "union wait" correctly. It's needed because of weirdness in +# HP-UX where "union wait" is defined in both the BSD and SYS-V +# environments. Checking the usability of WIFEXITED seems to do +# the trick. +#-------------------------------------------------------------------- + +AC_CACHE_CHECK([union wait], tcl_cv_union_wait, [ + AC_TRY_LINK([#include +#include ], [ +union wait x; +WIFEXITED(x); /* Generates compiler error if WIFEXITED + * uses an int. */ + ], tcl_cv_union_wait=yes, tcl_cv_union_wait=no)]) +if test $tcl_cv_union_wait = no; then + AC_DEFINE(NO_UNION_WAIT, 1, [Do we have a usable 'union wait'?]) +fi + +#-------------------------------------------------------------------- +# Check whether there is an strncasecmp function on this system. +# This is a bit tricky because under SCO it's in -lsocket and +# under Sequent Dynix it's in -linet. +#-------------------------------------------------------------------- + +AC_CHECK_FUNC(strncasecmp, tcl_ok=1, tcl_ok=0) +if test "$tcl_ok" = 0; then + AC_CHECK_LIB(socket, strncasecmp, tcl_ok=1, tcl_ok=0) +fi +if test "$tcl_ok" = 0; then + AC_CHECK_LIB(inet, strncasecmp, tcl_ok=1, tcl_ok=0) +fi +if test "$tcl_ok" = 0; then + AC_LIBOBJ([strncasecmp]) + USE_COMPAT=1 +fi + +#-------------------------------------------------------------------- +# The code below deals with several issues related to gettimeofday: +# 1. Some systems don't provide a gettimeofday function at all +# (set NO_GETTOD if this is the case). +# 2. See if gettimeofday is declared in the header file. +# if not, set the GETTOD_NOT_DECLARED flag so that tclPort.h can +# declare it. +#-------------------------------------------------------------------- + +AC_CHECK_FUNC(gettimeofday,[],[ + AC_DEFINE(NO_GETTOD, 1, [Do we have gettimeofday()?]) +]) +AC_CACHE_CHECK([for gettimeofday declaration], tcl_cv_grep_gettimeofday, [ + AC_EGREP_HEADER(gettimeofday, sys/time.h, + tcl_cv_grep_gettimeofday=present, tcl_cv_grep_gettimeofday=missing)]) +if test $tcl_cv_grep_gettimeofday = missing ; then + AC_DEFINE(GETTOD_NOT_DECLARED, 1, [Is gettimeofday() actually declared in ?]) +fi + +#-------------------------------------------------------------------- +# The following code checks to see whether it is possible to get +# signed chars on this platform. This is needed in order to +# properly generate sign-extended ints from character values. +#-------------------------------------------------------------------- + +AC_C_CHAR_UNSIGNED +AC_CACHE_CHECK([signed char declarations], tcl_cv_char_signed, [ + AC_TRY_COMPILE(, [ + signed char *p; + p = 0; + ], tcl_cv_char_signed=yes, tcl_cv_char_signed=no)]) +if test $tcl_cv_char_signed = yes; then + AC_DEFINE(HAVE_SIGNED_CHAR, 1, [Are characters signed?]) +fi + +#-------------------------------------------------------------------- +# Does putenv() copy or not? We need to know to avoid memory leaks. +#-------------------------------------------------------------------- + +AC_CACHE_CHECK([for a putenv() that copies the buffer], tcl_cv_putenv_copy, [ + AC_TRY_RUN([ + #include + #define OURVAR "havecopy=yes" + int main (int argc, char *argv[]) + { + char *foo, *bar; + foo = (char *)strdup(OURVAR); + putenv(foo); + strcpy((char *)(strchr(foo, '=') + 1), "no"); + bar = getenv("havecopy"); + if (!strcmp(bar, "no")) { + /* doesnt copy */ + return 0; + } else { + /* does copy */ + return 1; + } + } + ], + tcl_cv_putenv_copy=no, + tcl_cv_putenv_copy=yes, + tcl_cv_putenv_copy=no)]) +if test $tcl_cv_putenv_copy = yes; then + AC_DEFINE(HAVE_PUTENV_THAT_COPIES, 1, + [Does putenv() copy strings or incorporate them by reference?]) +fi + +#-------------------------------------------------------------------- +# Check for support of nl_langinfo function +#-------------------------------------------------------------------- + +SC_ENABLE_LANGINFO + +#-------------------------------------------------------------------- +# Check for support of chflags and mkstemps functions +#-------------------------------------------------------------------- + +AC_CHECK_FUNCS(chflags mkstemps) + +#-------------------------------------------------------------------- +# Check for support of isnan() function or macro +#-------------------------------------------------------------------- + +AC_CACHE_CHECK([isnan], tcl_cv_isnan, [ + AC_TRY_LINK([#include ], [ +isnan(0.0); /* Generates an error if isnan is missing */ +], tcl_cv_isnan=yes, tcl_cv_isnan=no)]) +if test $tcl_cv_isnan = no; then + AC_DEFINE(NO_ISNAN, 1, [Do we have a usable 'isnan'?]) +fi + +#-------------------------------------------------------------------- +# Darwin specific API checks and defines +#-------------------------------------------------------------------- + +if test "`uname -s`" = "Darwin" ; then + AC_CHECK_FUNCS(getattrlist) + AC_CHECK_HEADERS(copyfile.h) + AC_CHECK_FUNCS(copyfile) + if test $tcl_corefoundation = yes; then + AC_CHECK_HEADERS(libkern/OSAtomic.h) + AC_CHECK_FUNCS(OSSpinLockLock) + fi + AC_DEFINE(USE_VFORK, 1, [Should we use vfork() instead of fork()?]) + AC_DEFINE(TCL_DEFAULT_ENCODING, "utf-8", + [Are we to override what our default encoding is?]) + AC_DEFINE(TCL_LOAD_FROM_MEMORY, 1, + [Can this platform load code from memory?]) + AC_DEFINE(TCL_WIDE_CLICKS, 1, + [Does this platform have wide high-resolution clicks?]) + AC_CHECK_HEADERS(AvailabilityMacros.h) + if test "$ac_cv_header_AvailabilityMacros_h" = yes; then + AC_CACHE_CHECK([if weak import is available], tcl_cv_cc_weak_import, [ + hold_cflags=$CFLAGS; CFLAGS="$CFLAGS -Werror" + AC_TRY_LINK([ + #ifdef __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ + #if __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ < 1020 + #error __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ < 1020 + #endif + #elif MAC_OS_X_VERSION_MIN_REQUIRED < 1020 + #error MAC_OS_X_VERSION_MIN_REQUIRED < 1020 + #endif + int rand(void) __attribute__((weak_import)); + ], [rand();], + tcl_cv_cc_weak_import=yes, tcl_cv_cc_weak_import=no) + CFLAGS=$hold_cflags]) + if test $tcl_cv_cc_weak_import = yes; then + AC_DEFINE(HAVE_WEAK_IMPORT, 1, [Is weak import available?]) + fi + AC_CACHE_CHECK([if Darwin SUSv3 extensions are available], + tcl_cv_cc_darwin_c_source, [ + hold_cflags=$CFLAGS; CFLAGS="$CFLAGS -Werror" + AC_TRY_COMPILE([ + #ifdef __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ + #if __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ < 1050 + #error __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ < 1050 + #endif + #elif MAC_OS_X_VERSION_MIN_REQUIRED < 1050 + #error MAC_OS_X_VERSION_MIN_REQUIRED < 1050 + #endif + #define _DARWIN_C_SOURCE 1 + #include + ],,tcl_cv_cc_darwin_c_source=yes, tcl_cv_cc_darwin_c_source=no) + CFLAGS=$hold_cflags]) + if test $tcl_cv_cc_darwin_c_source = yes; then + AC_DEFINE(_DARWIN_C_SOURCE, 1, + [Are Darwin SUSv3 extensions available?]) + fi + fi + # Build .bundle dltest binaries in addition to .dylib + DLTEST_LD='${CC} -bundle -Wl,-w ${CFLAGS} ${LDFLAGS}' + DLTEST_SUFFIX=".bundle" +else + DLTEST_LD='${SHLIB_LD}' + DLTEST_SUFFIX="" +fi + +#-------------------------------------------------------------------- +# Check for support of fts functions (readdir replacement) +#-------------------------------------------------------------------- + +AC_CACHE_CHECK([for fts], tcl_cv_api_fts, [ + AC_TRY_LINK([ + #include + #include + #include + ], [ + char*const p[2] = {"/", NULL}; + FTS *f = fts_open(p, FTS_PHYSICAL|FTS_NOCHDIR|FTS_NOSTAT, NULL); + FTSENT *e = fts_read(f); fts_close(f); + ], tcl_cv_api_fts=yes, tcl_cv_api_fts=no)]) +if test $tcl_cv_api_fts = yes; then + AC_DEFINE(HAVE_FTS, 1, [Do we have fts functions?]) +fi + +#-------------------------------------------------------------------- +# The statements below check for systems where POSIX-style non-blocking +# I/O (O_NONBLOCK) doesn't work or is unimplemented. On these systems +# (mostly older ones), use the old BSD-style FIONBIO approach instead. +#-------------------------------------------------------------------- + +SC_BLOCKING_STYLE + +#------------------------------------------------------------------------ + +AC_MSG_CHECKING([whether to use dll unloading]) +AC_ARG_ENABLE(dll-unloading, + AC_HELP_STRING([--enable-dll-unloading], + [enable the 'unload' command (default: on)]), + [tcl_ok=$enableval], [tcl_ok=yes]) +if test $tcl_ok = yes; then + AC_DEFINE(TCL_UNLOAD_DLLS, 1, [Do we allow unloading of shared libraries?]) +fi +AC_MSG_RESULT([$tcl_ok]) + +#------------------------------------------------------------------------ +# Check whether the timezone data is supplied by the OS or has +# to be installed by Tcl. The default is autodetection, but can +# be overriden on the configure command line either way. +#------------------------------------------------------------------------ + +AC_MSG_CHECKING([for timezone data]) +AC_ARG_WITH(tzdata, + AC_HELP_STRING([--with-tzdata], + [install timezone data (default: autodetect)]), + [tcl_ok=$withval], [tcl_ok=auto]) +# +# Any directories that get added here must also be added to the +# search path in ::tcl::clock::Initialize (library/clock.tcl). +# +case $tcl_ok in + no) + AC_MSG_RESULT([supplied by OS vendor]) + ;; + yes) + # nothing to do here + ;; + auto*) + AC_CACHE_VAL([tcl_cv_dir_zoneinfo], [ + for dir in /usr/share/zoneinfo \ + /usr/share/lib/zoneinfo \ + /usr/lib/zoneinfo + do + if test -f $dir/UTC -o -f $dir/GMT + then + tcl_cv_dir_zoneinfo="$dir" + break + fi + done]) + if test -n "$tcl_cv_dir_zoneinfo"; then + tcl_ok=no + AC_MSG_RESULT([$dir]) + else + tcl_ok=yes + fi + ;; + *) + AC_MSG_ERROR([invalid argument: $tcl_ok]) + ;; +esac +if test $tcl_ok = yes +then + AC_MSG_RESULT([supplied by Tcl]) + INSTALL_TZDATA=install-tzdata +fi + +#-------------------------------------------------------------------- +# DTrace support +#-------------------------------------------------------------------- + +AC_ARG_ENABLE(dtrace, + AC_HELP_STRING([--enable-dtrace], + [build with DTrace support (default: off)]), + [tcl_ok=$enableval], [tcl_ok=no]) +if test $tcl_ok = yes; then + AC_CHECK_HEADER(sys/sdt.h, [tcl_ok=yes], [tcl_ok=no]) +fi +if test $tcl_ok = yes; then + AC_PATH_PROG(DTRACE, dtrace,, [$PATH:/usr/sbin]) + test -z "$ac_cv_path_DTRACE" && tcl_ok=no +fi +AC_MSG_CHECKING([whether to enable DTrace support]) +MAKEFILE_SHELL='/bin/sh' +if test $tcl_ok = yes; then + AC_DEFINE(USE_DTRACE, 1, [Are we building with DTrace support?]) + DTRACE_SRC="\${DTRACE_SRC}" + DTRACE_HDR="\${DTRACE_HDR}" + if test "`uname -s`" != "Darwin" ; then + DTRACE_OBJ="\${DTRACE_OBJ}" + if test "`uname -s`" = "SunOS" -a "$SHARED_BUILD" = "0" ; then + # Need to create an intermediate object file to ensure tclDTrace.o + # gets included when linking against the static tcl library. + STLIB_LD='stlib_ld () { /usr/ccs/bin/ld -r -o $${1%.a}.o "$${@:2}" && '"${STLIB_LD}"' $${1} $${1%.a}.o ; } && stlib_ld' + MAKEFILE_SHELL='/bin/bash' + # Force use of Sun ar and ranlib, the GNU versions choke on + # tclDTrace.o and the combined object file above. + AR='/usr/ccs/bin/ar' + RANLIB='/usr/ccs/bin/ranlib' + fi + fi +fi +AC_MSG_RESULT([$tcl_ok]) + +#-------------------------------------------------------------------- +# The check below checks whether the cpuid instruction is usable. +#-------------------------------------------------------------------- + +AC_CACHE_CHECK([whether the cpuid instruction is usable], tcl_cv_cpuid, [ + AC_TRY_LINK(, [ + int index,regsPtr[4]; + __asm__ __volatile__("mov %%ebx, %%edi \n\t" + "cpuid \n\t" + "mov %%ebx, %%esi \n\t" + "mov %%edi, %%ebx \n\t" + : "=a"(regsPtr[0]), "=S"(regsPtr[1]), "=c"(regsPtr[2]), "=d"(regsPtr[3]) + : "a"(index) : "edi"); + ], tcl_cv_cpuid=yes, tcl_cv_cpuid=no)]) +if test $tcl_cv_cpuid = yes; then + AC_DEFINE(HAVE_CPUID, 1, [Is the cpuid instruction usable?]) +fi + +#-------------------------------------------------------------------- +# The statements below define a collection of symbols related to +# building libtcl as a shared library instead of a static library. +#-------------------------------------------------------------------- + +TCL_UNSHARED_LIB_SUFFIX=${UNSHARED_LIB_SUFFIX} +TCL_SHARED_LIB_SUFFIX=${SHARED_LIB_SUFFIX} +eval "TCL_LIB_FILE=libtcl${LIB_SUFFIX}" + +# tclConfig.sh needs a version of the _LIB_SUFFIX that has been eval'ed +# since on some platforms TCL_LIB_FILE contains shell escapes. +# (See also: TCL_TRIM_DOTS). + +eval "TCL_LIB_FILE=${TCL_LIB_FILE}" + +TCL_LIBRARY='$(prefix)/lib/tcl$(VERSION)' +PRIVATE_INCLUDE_DIR='$(includedir)' +HTML_DIR='$(DISTDIR)/html' + +# Note: in the following variable, it's important to use the absolute +# path name of the Tcl directory rather than "..": this is because +# AIX remembers this path and will attempt to use it at run-time to look +# up the Tcl library. + +if test "`uname -s`" = "Darwin" ; then + SC_ENABLE_FRAMEWORK + TCL_SHLIB_LD_EXTRAS="-compatibility_version ${TCL_VERSION} -current_version ${TCL_VERSION}`echo ${TCL_PATCH_LEVEL} | awk ['{match($0, "\\\.[0-9]+"); print substr($0,RSTART,RLENGTH)}']`" + TCL_SHLIB_LD_EXTRAS="${TCL_SHLIB_LD_EXTRAS}"' -install_name "${DYLIB_INSTALL_DIR}"/${TCL_LIB_FILE}' + echo "$LDFLAGS " | grep -q -- '-prebind ' && TCL_SHLIB_LD_EXTRAS="${TCL_SHLIB_LD_EXTRAS}"' -seg1addr 0xa000000' + TCL_SHLIB_LD_EXTRAS="${TCL_SHLIB_LD_EXTRAS}"' -sectcreate __TEXT __info_plist Tcl-Info.plist' + EXTRA_TCLSH_LIBS='-sectcreate __TEXT __info_plist Tclsh-Info.plist' + EXTRA_APP_CC_SWITCHES='-mdynamic-no-pic' + AC_CONFIG_FILES([Tcl-Info.plist:../macosx/Tcl-Info.plist.in Tclsh-Info.plist:../macosx/Tclsh-Info.plist.in]) + TCL_YEAR="`date +%Y`" +fi + +if test "$FRAMEWORK_BUILD" = "1" ; then + AC_DEFINE(TCL_FRAMEWORK, 1, [Is Tcl built as a framework?]) + # Construct a fake local framework structure to make linking with + # '-framework Tcl' and running of tcltest work + AC_CONFIG_COMMANDS([Tcl.framework], [n=Tcl && + f=$n.framework && v=Versions/$VERSION && + rm -rf $f && mkdir -p $f/$v/Resources && + ln -s $v/$n $v/Resources $f && ln -s ../../../$n $f/$v && + ln -s ../../../../$n-Info.plist $f/$v/Resources/Info.plist && + unset n f v + ], VERSION=${TCL_VERSION}) + LD_LIBRARY_PATH_VAR="DYLD_FRAMEWORK_PATH" + # default install directory for bundled packages + if test "${libdir}" = '${exec_prefix}/lib' -o "`basename ${libdir}`" = 'Frameworks'; then + PACKAGE_DIR="/Library/Tcl" + else + PACKAGE_DIR="$libdir" + fi + if test "${libdir}" = '${exec_prefix}/lib'; then + # override libdir default + libdir="/Library/Frameworks" + fi + TCL_LIB_FILE="Tcl" + TCL_LIB_FLAG="-framework Tcl" + TCL_BUILD_LIB_SPEC="-F`pwd | sed -e 's/ /\\\\ /g'` -framework Tcl" + TCL_LIB_SPEC="-F${libdir} -framework Tcl" + libdir="${libdir}/Tcl.framework/Versions/\${VERSION}" + TCL_LIBRARY="${libdir}/Resources/Scripts" + includedir="${libdir}/Headers" + PRIVATE_INCLUDE_DIR="${libdir}/PrivateHeaders" + HTML_DIR="${libdir}/Resources/Documentation/Reference/Tcl" + EXTRA_INSTALL="install-private-headers html-tcl" + EXTRA_BUILD_HTML='@ln -fs contents.htm "$(HTML_INSTALL_DIR)"/TclTOC.html' + EXTRA_INSTALL_BINARIES='@echo "Installing Info.plist to $(LIB_INSTALL_DIR)/Resources/" && $(INSTALL_DATA_DIR) "$(LIB_INSTALL_DIR)/Resources" && $(INSTALL_DATA) Tcl-Info.plist "$(LIB_INSTALL_DIR)/Resources/Info.plist"' + EXTRA_INSTALL_BINARIES="$EXTRA_INSTALL_BINARIES"' && echo "Installing license.terms to $(LIB_INSTALL_DIR)/Resources/" && $(INSTALL_DATA) "$(TOP_DIR)/license.terms" "$(LIB_INSTALL_DIR)/Resources"' + EXTRA_INSTALL_BINARIES="$EXTRA_INSTALL_BINARIES"' && echo "Finalizing Tcl.framework" && rm -f "$(LIB_INSTALL_DIR)/../Current" && ln -s "$(VERSION)" "$(LIB_INSTALL_DIR)/../Current" && for f in "$(LIB_FILE)" tclConfig.sh Resources Headers PrivateHeaders; do rm -f "$(LIB_INSTALL_DIR)/../../$$f" && ln -s "Versions/Current/$$f" "$(LIB_INSTALL_DIR)/../.."; done && f="$(STUB_LIB_FILE)" && rm -f "$(LIB_INSTALL_DIR)/../../$$f" && ln -s "Versions/$(VERSION)/$$f" "$(LIB_INSTALL_DIR)/../.."' + # Don't use AC_DEFINE for the following as the framework version define + # needs to go into the Makefile even when using autoheader, so that we + # can pick up a potential make override of VERSION. Also, don't put this + # into CFLAGS as it should not go into tclConfig.sh + EXTRA_CC_SWITCHES='-DTCL_FRAMEWORK_VERSION=\"$(VERSION)\"' +else + # libdir must be a fully qualified path and not ${exec_prefix}/lib + eval libdir="$libdir" + # default install directory for bundled packages + PACKAGE_DIR="$libdir" + if test "${TCL_LIB_VERSIONS_OK}" = "ok"; then + TCL_LIB_FLAG="-ltcl${TCL_VERSION}" + else + TCL_LIB_FLAG="-ltcl`echo ${TCL_VERSION} | tr -d .`" + fi + TCL_BUILD_LIB_SPEC="-L`pwd | sed -e 's/ /\\\\ /g'` ${TCL_LIB_FLAG}" + TCL_LIB_SPEC="-L${libdir} ${TCL_LIB_FLAG}" +fi +VERSION='${VERSION}' +eval "CFG_TCL_SHARED_LIB_SUFFIX=${TCL_SHARED_LIB_SUFFIX}" +eval "CFG_TCL_UNSHARED_LIB_SUFFIX=${TCL_UNSHARED_LIB_SUFFIX}" +VERSION=${TCL_VERSION} + +#-------------------------------------------------------------------- +# The statements below define the symbol TCL_PACKAGE_PATH, which +# gives a list of directories that may contain packages. The list +# consists of one directory for machine-dependent binaries and +# another for platform-independent scripts. +#-------------------------------------------------------------------- + +if test "$FRAMEWORK_BUILD" = "1" ; then + test -z "$TCL_PACKAGE_PATH" && \ + TCL_PACKAGE_PATH="~/Library/Tcl /Library/Tcl /System/Library/Tcl ~/Library/Frameworks /Library/Frameworks /System/Library/Frameworks" + test -z "$TCL_MODULE_PATH" && \ + TCL_MODULE_PATH="~/Library/Tcl /Library/Tcl /System/Library/Tcl" +elif test "$prefix/lib" != "$libdir"; then + TCL_PACKAGE_PATH="${libdir} ${prefix}/lib ${TCL_PACKAGE_PATH}" +else + TCL_PACKAGE_PATH="${prefix}/lib ${TCL_PACKAGE_PATH}" +fi + +#-------------------------------------------------------------------- +# The statements below define various symbols relating to Tcl +# stub support. +#-------------------------------------------------------------------- + +# Replace ${VERSION} with contents of ${TCL_VERSION} +# double-eval to account for TCL_TRIM_DOTS. +# +eval "TCL_STUB_LIB_FILE=libtclstub${TCL_UNSHARED_LIB_SUFFIX}" +eval "TCL_STUB_LIB_FILE=\"${TCL_STUB_LIB_FILE}\"" +eval "TCL_STUB_LIB_DIR=${libdir}" + +if test "${TCL_LIB_VERSIONS_OK}" = "ok"; then + TCL_STUB_LIB_FLAG="-ltclstub${TCL_VERSION}" +else + TCL_STUB_LIB_FLAG="-ltclstub`echo ${TCL_VERSION} | tr -d .`" +fi + +TCL_BUILD_STUB_LIB_SPEC="-L`pwd | sed -e 's/ /\\\\ /g'` ${TCL_STUB_LIB_FLAG}" +TCL_STUB_LIB_SPEC="-L${TCL_STUB_LIB_DIR} ${TCL_STUB_LIB_FLAG}" +TCL_BUILD_STUB_LIB_PATH="`pwd`/${TCL_STUB_LIB_FILE}" +TCL_STUB_LIB_PATH="${TCL_STUB_LIB_DIR}/${TCL_STUB_LIB_FILE}" + +# Install time header dir can be set via --includedir +eval "TCL_INCLUDE_SPEC=\"-I${includedir}\"" + +#------------------------------------------------------------------------ +# tclConfig.sh refers to this by a different name +#------------------------------------------------------------------------ + +TCL_SHARED_BUILD=${SHARED_BUILD} + +AC_SUBST(TCL_VERSION) +AC_SUBST(TCL_MAJOR_VERSION) +AC_SUBST(TCL_MINOR_VERSION) +AC_SUBST(TCL_PATCH_LEVEL) +AC_SUBST(TCL_YEAR) +AC_SUBST(PKG_CFG_ARGS) + +AC_SUBST(TCL_LIB_FILE) +AC_SUBST(TCL_LIB_FLAG) +AC_SUBST(TCL_LIB_SPEC) +AC_SUBST(TCL_STUB_LIB_FILE) +AC_SUBST(TCL_STUB_LIB_FLAG) +AC_SUBST(TCL_STUB_LIB_SPEC) +AC_SUBST(TCL_STUB_LIB_PATH) +AC_SUBST(TCL_INCLUDE_SPEC) +AC_SUBST(TCL_BUILD_STUB_LIB_SPEC) +AC_SUBST(TCL_BUILD_STUB_LIB_PATH) + +AC_SUBST(TCL_SRC_DIR) +AC_SUBST(CFG_TCL_SHARED_LIB_SUFFIX) +AC_SUBST(CFG_TCL_UNSHARED_LIB_SUFFIX) + +AC_SUBST(TCL_SHARED_BUILD) +AC_SUBST(LD_LIBRARY_PATH_VAR) + +AC_SUBST(TCL_BUILD_LIB_SPEC) + +AC_SUBST(TCL_LIB_VERSIONS_OK) +AC_SUBST(TCL_SHARED_LIB_SUFFIX) +AC_SUBST(TCL_UNSHARED_LIB_SUFFIX) + +AC_SUBST(TCL_HAS_LONGLONG) + +AC_SUBST(INSTALL_TZDATA) + +AC_SUBST(DTRACE_SRC) +AC_SUBST(DTRACE_HDR) +AC_SUBST(DTRACE_OBJ) +AC_SUBST(MAKEFILE_SHELL) + +AC_SUBST(BUILD_DLTEST) +AC_SUBST(TCL_PACKAGE_PATH) +AC_SUBST(TCL_MODULE_PATH) + +AC_SUBST(TCL_LIBRARY) +AC_SUBST(PRIVATE_INCLUDE_DIR) +AC_SUBST(HTML_DIR) +AC_SUBST(PACKAGE_DIR) + +AC_SUBST(EXTRA_CC_SWITCHES) +AC_SUBST(EXTRA_APP_CC_SWITCHES) +AC_SUBST(EXTRA_INSTALL) +AC_SUBST(EXTRA_INSTALL_BINARIES) +AC_SUBST(EXTRA_BUILD_HTML) +AC_SUBST(EXTRA_TCLSH_LIBS) + +AC_SUBST(DLTEST_LD) +AC_SUBST(DLTEST_SUFFIX) + +dnl Disable the automake-friendly normalization of LIBOBJS +dnl performed by autoconf 2.53 and later. It's not correct for us. +define([_AC_LIBOBJS_NORMALIZE],[]) +AC_CONFIG_FILES([ + Makefile:../unix/Makefile.in + dltest/Makefile:../unix/dltest/Makefile.in + tclConfig.sh:../unix/tclConfig.sh.in + tcl.pc:../unix/tcl.pc.in +]) +AC_OUTPUT + +dnl Local Variables: +dnl mode: autoconf +dnl End: diff --git a/unix/configure.in b/unix/configure.in deleted file mode 100644 index 41a1f62..0000000 --- a/unix/configure.in +++ /dev/null @@ -1,998 +0,0 @@ -#! /bin/bash -norc -dnl This file is an input file used by the GNU "autoconf" program to -dnl generate the file "configure", which is run during Tcl installation -dnl to configure the system for the local environment. - -AC_INIT([tcl],[8.7]) -AC_PREREQ(2.69) - -dnl This is only used when included from macosx/configure.ac -m4_ifdef([SC_USE_CONFIG_HEADERS], [ - AC_CONFIG_HEADERS([tclConfig.h:../unix/tclConfig.h.in]) - AC_CONFIG_COMMANDS_PRE([DEFS="-DHAVE_TCL_CONFIG_H -imacros tclConfig.h"]) - AH_TOP([ - #ifndef _TCLCONFIG - #define _TCLCONFIG]) - AH_BOTTOM([ - /* Undef unused package specific autoheader defines so that we can - * include both tclConfig.h and tkConfig.h at the same time: */ - /* override */ #undef PACKAGE_NAME - /* override */ #undef PACKAGE_STRING - /* override */ #undef PACKAGE_TARNAME - #endif /* _TCLCONFIG */]) -]) - -TCL_VERSION=8.7 -TCL_MAJOR_VERSION=8 -TCL_MINOR_VERSION=7 -TCL_PATCH_LEVEL="a0" -VERSION=${TCL_VERSION} - -EXTRA_INSTALL_BINARIES=${EXTRA_INSTALL_BINARIES:-"@:"} -EXTRA_BUILD_HTML=${EXTRA_BUILD_HTML:-"@:"} - -#------------------------------------------------------------------------ -# Setup configure arguments for bundled packages -#------------------------------------------------------------------------ - -PKG_CFG_ARGS="$ac_configure_args ${PKG_CFG_ARGS}" - -if test -r "$cache_file" -a -f "$cache_file"; then - case $cache_file in - [[\\/]]* | ?:[[\\/]]* ) pkg_cache_file=$cache_file ;; - *) pkg_cache_file=../../$cache_file ;; - esac - PKG_CFG_ARGS="${PKG_CFG_ARGS} --cache-file=$pkg_cache_file" -fi - -#------------------------------------------------------------------------ -# Empty slate for bundled packages, to avoid stale configuration -#------------------------------------------------------------------------ -#rm -Rf pkgs -if test -f Makefile; then - make distclean-packages -fi - -#------------------------------------------------------------------------ -# Handle the --prefix=... option -#------------------------------------------------------------------------ - -if test "${prefix}" = "NONE"; then - prefix=/usr/local -fi -if test "${exec_prefix}" = "NONE"; then - exec_prefix=$prefix -fi -# Make sure srcdir is fully qualified! -srcdir="`cd "$srcdir" ; pwd`" -TCL_SRC_DIR="`cd "$srcdir"/..; pwd`" - -#------------------------------------------------------------------------ -# Compress and/or soft link the manpages? -#------------------------------------------------------------------------ - -SC_CONFIG_MANPAGES - -#------------------------------------------------------------------------ -# Standard compiler checks -#------------------------------------------------------------------------ - -# If the user did not set CFLAGS, set it now to keep -# the AC_PROG_CC macro from adding "-g -O2". -if test "${CFLAGS+set}" != "set" ; then - CFLAGS="" -fi - -AC_PROG_CC -AC_C_INLINE - -#-------------------------------------------------------------------- -# Supply substitutes for missing POSIX header files. Special notes: -# - stdlib.h doesn't define strtol, strtoul, or -# strtod insome versions of SunOS -# - some versions of string.h don't declare procedures such -# as strstr -# Do this early, otherwise an autoconf bug throws errors on configure -#-------------------------------------------------------------------- - -SC_MISSING_POSIX_HEADERS - -#-------------------------------------------------------------------- -# Determines the correct executable file extension (.exe) -#-------------------------------------------------------------------- - -AC_EXEEXT - -#------------------------------------------------------------------------ -# If we're using GCC, see if the compiler understands -pipe. If so, use it. -# It makes compiling go faster. (This is only a performance feature.) -#------------------------------------------------------------------------ - -if test -z "$no_pipe" && test -n "$GCC"; then - AC_CACHE_CHECK([if the compiler understands -pipe], - tcl_cv_cc_pipe, [ - hold_cflags=$CFLAGS; CFLAGS="$CFLAGS -pipe" - AC_TRY_COMPILE(,, tcl_cv_cc_pipe=yes, tcl_cv_cc_pipe=no) - CFLAGS=$hold_cflags]) - if test $tcl_cv_cc_pipe = yes; then - CFLAGS="$CFLAGS -pipe" - fi -fi - -#------------------------------------------------------------------------ -# Threads support -#------------------------------------------------------------------------ - -SC_ENABLE_THREADS - -#------------------------------------------------------------------------ -# Embedded configuration information, encoding to use for the values, TIP #59 -#------------------------------------------------------------------------ - -SC_TCL_CFG_ENCODING - -#-------------------------------------------------------------------- -# Look for libraries that we will need when compiling the Tcl shell -#-------------------------------------------------------------------- - -SC_TCL_LINK_LIBS - -# Add the threads support libraries -LIBS="$LIBS$THREADS_LIBS" - -SC_ENABLE_SHARED - -#-------------------------------------------------------------------- -# Look for a native installed tclsh binary (if available) -# If one cannot be found then use the binary we build (fails for -# cross compiling). This is used for NATIVE_TCLSH in Makefile. -#-------------------------------------------------------------------- - -SC_PROG_TCLSH -if test "$TCLSH_PROG" = ""; then - TCLSH_PROG='./${TCL_EXE}' -fi - -#------------------------------------------------------------------------ -# Add stuff for zlib -#------------------------------------------------------------------------ - -zlib_ok=yes -AC_CHECK_HEADER([zlib.h],[ - AC_CHECK_TYPE([gz_header],[],[zlib_ok=no],[#include ])],[ - zlib_ok=no]) -AS_IF([test $zlib_ok = yes], [ - AC_SEARCH_LIBS([deflateSetHeader],[z],[],[ - zlib_ok=no - ])]) -AS_IF([test $zlib_ok = no], [ - AC_SUBST(ZLIB_OBJS,[\${ZLIB_OBJS}]) - AC_SUBST(ZLIB_SRCS,[\${ZLIB_SRCS}]) - AC_SUBST(ZLIB_INCLUDE,[-I\${ZLIB_DIR}]) -]) -AC_DEFINE(HAVE_ZLIB, 1, [Is there an installed zlib?]) - -#-------------------------------------------------------------------- -# The statements below define a collection of compile flags. This -# macro depends on the value of SHARED_BUILD, and should be called -# after SC_ENABLE_SHARED checks the configure switches. -#-------------------------------------------------------------------- - -SC_CONFIG_CFLAGS - -SC_ENABLE_SYMBOLS(bccdebug) - -AC_DEFINE(TCL_TOMMATH, 1, [Build libtommath?]) -AC_DEFINE(MP_PREC, 4, [Default libtommath precision.]) - -#-------------------------------------------------------------------- -# Detect what compiler flags to set for 64-bit support. -#-------------------------------------------------------------------- - -SC_TCL_EARLY_FLAGS - -SC_TCL_64BIT_FLAGS - -#-------------------------------------------------------------------- -# Check endianness because we can optimize comparisons of -# Tcl_UniChar strings to memcmp on big-endian systems. -#-------------------------------------------------------------------- - -AC_C_BIGENDIAN - -#-------------------------------------------------------------------- -# Supply substitutes for missing POSIX library procedures, or -# set flags so Tcl uses alternate procedures. -#-------------------------------------------------------------------- - -# Check if Posix compliant getcwd exists, if not we'll use getwd. -AC_CHECK_FUNCS(getcwd, , [AC_DEFINE(USEGETWD, 1, [Is getcwd Posix-compliant?])]) -# Nb: if getcwd uses popen and pwd(1) (like SunOS 4) we should really -# define USEGETWD even if the posix getcwd exists. Add a test ? - -AC_REPLACE_FUNCS(mkstemp opendir strtol waitpid) -AC_CHECK_FUNC(strerror, , [AC_DEFINE(NO_STRERROR, 1, [Do we have strerror()])]) -AC_CHECK_FUNC(getwd, , [AC_DEFINE(NO_GETWD, 1, [Do we have getwd()])]) -AC_CHECK_FUNC(wait3, , [AC_DEFINE(NO_WAIT3, 1, [Do we have wait3()])]) -AC_CHECK_FUNC(uname, , [AC_DEFINE(NO_UNAME, 1, [Do we have uname()])]) - -if test "`uname -s`" = "Darwin" && test "${TCL_THREADS}" = 1 && \ - test "`uname -r | awk -F. '{print [$]1}'`" -lt 7; then - # prior to Darwin 7, realpath is not threadsafe, so don't - # use it when threads are enabled, c.f. bug # 711232 - ac_cv_func_realpath=no -fi -AC_CHECK_FUNC(realpath, , [AC_DEFINE(NO_REALPATH, 1, [Do we have realpath()])]) - -SC_TCL_IPV6 - -#-------------------------------------------------------------------- -# Look for thread-safe variants of some library functions. -#-------------------------------------------------------------------- - -if test "${TCL_THREADS}" = 1; then - SC_TCL_GETPWUID_R - SC_TCL_GETPWNAM_R - SC_TCL_GETGRGID_R - SC_TCL_GETGRNAM_R - if test "`uname -s`" = "Darwin" && \ - test "`uname -r | awk -F. '{print [$]1}'`" -gt 5; then - # Starting with Darwin 6 (Mac OSX 10.2), gethostbyX - # are actually MT-safe as they always return pointers - # from TSD instead of static storage. - AC_DEFINE(HAVE_MTSAFE_GETHOSTBYNAME, 1, - [Do we have MT-safe gethostbyname() ?]) - AC_DEFINE(HAVE_MTSAFE_GETHOSTBYADDR, 1, - [Do we have MT-safe gethostbyaddr() ?]) - - elif test "`uname -s`" = "HP-UX" && \ - test "`uname -r|sed -e 's|B\.||' -e 's|\..*$||'`" -gt 10; then - # Starting with HPUX 11.00 (we believe), gethostbyX - # are actually MT-safe as they always return pointers - # from TSD instead of static storage. - AC_DEFINE(HAVE_MTSAFE_GETHOSTBYNAME, 1, - [Do we have MT-safe gethostbyname() ?]) - AC_DEFINE(HAVE_MTSAFE_GETHOSTBYADDR, 1, - [Do we have MT-safe gethostbyaddr() ?]) - - else - SC_TCL_GETHOSTBYNAME_R - SC_TCL_GETHOSTBYADDR_R - fi -fi - -#--------------------------------------------------------------------------- -# Check for serial port interface. -# -# termios.h is present on all POSIX systems. -# sys/ioctl.h is almost always present, though what it contains -# is system-specific. -# sys/modem.h is needed on HP-UX. -#--------------------------------------------------------------------------- - -AC_CHECK_HEADERS(termios.h) -AC_CHECK_HEADERS(sys/ioctl.h) -AC_CHECK_HEADERS(sys/modem.h) - -#-------------------------------------------------------------------- -# Include sys/select.h if it exists and if it supplies things -# that appear to be useful and aren't already in sys/types.h. -# This appears to be true only on the RS/6000 under AIX. Some -# systems like OSF/1 have a sys/select.h that's of no use, and -# other systems like SCO UNIX have a sys/select.h that's -# pernicious. If "fd_set" isn't defined anywhere then set a -# special flag. -#-------------------------------------------------------------------- - -AC_CACHE_CHECK([for fd_set in sys/types], tcl_cv_type_fd_set, [ - AC_TRY_COMPILE([#include ],[fd_set readMask, writeMask;], - tcl_cv_type_fd_set=yes, tcl_cv_type_fd_set=no)]) -tcl_ok=$tcl_cv_type_fd_set -if test $tcl_ok = no; then - AC_CACHE_CHECK([for fd_mask in sys/select], tcl_cv_grep_fd_mask, [ - AC_EGREP_HEADER(fd_mask, sys/select.h, - tcl_cv_grep_fd_mask=present, tcl_cv_grep_fd_mask=missing)]) - if test $tcl_cv_grep_fd_mask = present; then - AC_DEFINE(HAVE_SYS_SELECT_H, 1, [Should we include ?]) - tcl_ok=yes - fi -fi -if test $tcl_ok = no; then - AC_DEFINE(NO_FD_SET, 1, [Do we have fd_set?]) -fi - -#------------------------------------------------------------------------------ -# Find out all about time handling differences. -#------------------------------------------------------------------------------ - -SC_TIME_HANDLER - -#-------------------------------------------------------------------- -# Some systems (e.g., IRIX 4.0.5) lack some fields in struct stat. But -# we might be able to use fstatfs instead. Some systems (OpenBSD?) also -# lack blkcnt_t. -#-------------------------------------------------------------------- - -if test "$ac_cv_cygwin" != "yes"; then - AC_CHECK_MEMBERS([struct stat.st_blocks, struct stat.st_blksize]) -fi -AC_CHECK_TYPES([blkcnt_t]) -AC_CHECK_FUNC(fstatfs, , [AC_DEFINE(NO_FSTATFS, 1, [Do we have fstatfs()?])]) - -#-------------------------------------------------------------------- -# Some system have no memcmp or it does not work with 8 bit data, this -# checks it and add memcmp.o to LIBOBJS if needed -#-------------------------------------------------------------------- - -AC_FUNC_MEMCMP - -#-------------------------------------------------------------------- -# Some system like SunOS 4 and other BSD like systems have no memmove -# (we assume they have bcopy instead). {The replacement define is in -# compat/string.h} -#-------------------------------------------------------------------- - -AC_CHECK_FUNC(memmove, , [ - AC_DEFINE(NO_MEMMOVE, 1, [Do we have memmove()?]) - AC_DEFINE(NO_STRING_H, 1, [Do we have ?]) ]) - -#-------------------------------------------------------------------- -# On some systems strstr is broken: it returns a pointer even even if -# the original string is empty. -#-------------------------------------------------------------------- - -SC_TCL_CHECK_BROKEN_FUNC(strstr, [ - extern int strstr(); - exit(strstr("\0test", "test") ? 1 : 0); -]) - -#-------------------------------------------------------------------- -# Check for strtoul function. This is tricky because under some -# versions of AIX strtoul returns an incorrect terminator -# pointer for the string "0". -#-------------------------------------------------------------------- - -SC_TCL_CHECK_BROKEN_FUNC(strtoul, [ - extern int strtoul(); - char *term, *string = "0"; - exit(strtoul(string,&term,0) != 0 || term != string+1); -]) - -#-------------------------------------------------------------------- -# Check for the strtod function. This is tricky because in some -# versions of Linux strtod mis-parses strings starting with "+". -#-------------------------------------------------------------------- - -SC_TCL_CHECK_BROKEN_FUNC(strtod, [ - extern double strtod(); - char *term, *string = " +69"; - exit(strtod(string,&term) != 69 || term != string+4); -]) - -#-------------------------------------------------------------------- -# Under Solaris 2.4, strtod returns the wrong value for the -# terminating character under some conditions. Check for this -# and if the problem exists use a substitute procedure -# "fixstrtod" that corrects the error. -#-------------------------------------------------------------------- - -SC_BUGGY_STRTOD - -#-------------------------------------------------------------------- -# Check for various typedefs and provide substitutes if -# they don't exist. -#-------------------------------------------------------------------- - -AC_TYPE_MODE_T -AC_TYPE_PID_T -AC_TYPE_SIZE_T -AC_TYPE_UID_T - -AC_CACHE_CHECK([for socklen_t], tcl_cv_type_socklen_t, [ - AC_TRY_COMPILE([ - #include - #include - ],[ - socklen_t foo; - ],[tcl_cv_type_socklen_t=yes],[tcl_cv_type_socklen_t=no])]) -if test $tcl_cv_type_socklen_t = no; then - AC_DEFINE(socklen_t, int, [Define as int if socklen_t is not available]) -fi - -AC_CHECK_TYPE([intptr_t], [ - AC_DEFINE([HAVE_INTPTR_T], 1, [Do we have the intptr_t type?])], [ - AC_CACHE_CHECK([for pointer-size signed integer type], tcl_cv_intptr_t, [ - for tcl_cv_intptr_t in "int" "long" "long long" none; do - if test "$tcl_cv_intptr_t" != none; then - AC_COMPILE_IFELSE([AC_LANG_BOOL_COMPILE_TRY([AC_INCLUDES_DEFAULT], - [[sizeof (void *) <= sizeof ($tcl_cv_intptr_t)]])], - [tcl_ok=yes], [tcl_ok=no]) - test "$tcl_ok" = yes && break; fi - done]) - if test "$tcl_cv_intptr_t" != none; then - AC_DEFINE_UNQUOTED([intptr_t], [$tcl_cv_intptr_t], [Signed integer - type wide enough to hold a pointer.]) - fi -]) -AC_CHECK_TYPE([uintptr_t], [ - AC_DEFINE([HAVE_UINTPTR_T], 1, [Do we have the uintptr_t type?])], [ - AC_CACHE_CHECK([for pointer-size unsigned integer type], tcl_cv_uintptr_t, [ - for tcl_cv_uintptr_t in "unsigned int" "unsigned long" "unsigned long long" \ - none; do - if test "$tcl_cv_uintptr_t" != none; then - AC_COMPILE_IFELSE([AC_LANG_BOOL_COMPILE_TRY([AC_INCLUDES_DEFAULT], - [[sizeof (void *) <= sizeof ($tcl_cv_uintptr_t)]])], - [tcl_ok=yes], [tcl_ok=no]) - test "$tcl_ok" = yes && break; fi - done]) - if test "$tcl_cv_uintptr_t" != none; then - AC_DEFINE_UNQUOTED([uintptr_t], [$tcl_cv_uintptr_t], [Unsigned integer - type wide enough to hold a pointer.]) - fi -]) - -#-------------------------------------------------------------------- -# If a system doesn't have an opendir function (man, that's old!) -# then we have to supply a different version of dirent.h which -# is compatible with the substitute version of opendir that's -# provided. This version only works with V7-style directories. -#-------------------------------------------------------------------- - -AC_CHECK_FUNC(opendir, , [AC_DEFINE(USE_DIRENT2_H, 1, [May we include ?])]) - -#-------------------------------------------------------------------- -# The check below checks whether defines the type -# "union wait" correctly. It's needed because of weirdness in -# HP-UX where "union wait" is defined in both the BSD and SYS-V -# environments. Checking the usability of WIFEXITED seems to do -# the trick. -#-------------------------------------------------------------------- - -AC_CACHE_CHECK([union wait], tcl_cv_union_wait, [ - AC_TRY_LINK([#include -#include ], [ -union wait x; -WIFEXITED(x); /* Generates compiler error if WIFEXITED - * uses an int. */ - ], tcl_cv_union_wait=yes, tcl_cv_union_wait=no)]) -if test $tcl_cv_union_wait = no; then - AC_DEFINE(NO_UNION_WAIT, 1, [Do we have a usable 'union wait'?]) -fi - -#-------------------------------------------------------------------- -# Check whether there is an strncasecmp function on this system. -# This is a bit tricky because under SCO it's in -lsocket and -# under Sequent Dynix it's in -linet. -#-------------------------------------------------------------------- - -AC_CHECK_FUNC(strncasecmp, tcl_ok=1, tcl_ok=0) -if test "$tcl_ok" = 0; then - AC_CHECK_LIB(socket, strncasecmp, tcl_ok=1, tcl_ok=0) -fi -if test "$tcl_ok" = 0; then - AC_CHECK_LIB(inet, strncasecmp, tcl_ok=1, tcl_ok=0) -fi -if test "$tcl_ok" = 0; then - AC_LIBOBJ([strncasecmp]) - USE_COMPAT=1 -fi - -#-------------------------------------------------------------------- -# The code below deals with several issues related to gettimeofday: -# 1. Some systems don't provide a gettimeofday function at all -# (set NO_GETTOD if this is the case). -# 2. See if gettimeofday is declared in the header file. -# if not, set the GETTOD_NOT_DECLARED flag so that tclPort.h can -# declare it. -#-------------------------------------------------------------------- - -AC_CHECK_FUNC(gettimeofday,[],[ - AC_DEFINE(NO_GETTOD, 1, [Do we have gettimeofday()?]) -]) -AC_CACHE_CHECK([for gettimeofday declaration], tcl_cv_grep_gettimeofday, [ - AC_EGREP_HEADER(gettimeofday, sys/time.h, - tcl_cv_grep_gettimeofday=present, tcl_cv_grep_gettimeofday=missing)]) -if test $tcl_cv_grep_gettimeofday = missing ; then - AC_DEFINE(GETTOD_NOT_DECLARED, 1, [Is gettimeofday() actually declared in ?]) -fi - -#-------------------------------------------------------------------- -# The following code checks to see whether it is possible to get -# signed chars on this platform. This is needed in order to -# properly generate sign-extended ints from character values. -#-------------------------------------------------------------------- - -AC_C_CHAR_UNSIGNED -AC_CACHE_CHECK([signed char declarations], tcl_cv_char_signed, [ - AC_TRY_COMPILE(, [ - signed char *p; - p = 0; - ], tcl_cv_char_signed=yes, tcl_cv_char_signed=no)]) -if test $tcl_cv_char_signed = yes; then - AC_DEFINE(HAVE_SIGNED_CHAR, 1, [Are characters signed?]) -fi - -#-------------------------------------------------------------------- -# Does putenv() copy or not? We need to know to avoid memory leaks. -#-------------------------------------------------------------------- - -AC_CACHE_CHECK([for a putenv() that copies the buffer], tcl_cv_putenv_copy, [ - AC_TRY_RUN([ - #include - #define OURVAR "havecopy=yes" - int main (int argc, char *argv[]) - { - char *foo, *bar; - foo = (char *)strdup(OURVAR); - putenv(foo); - strcpy((char *)(strchr(foo, '=') + 1), "no"); - bar = getenv("havecopy"); - if (!strcmp(bar, "no")) { - /* doesnt copy */ - return 0; - } else { - /* does copy */ - return 1; - } - } - ], - tcl_cv_putenv_copy=no, - tcl_cv_putenv_copy=yes, - tcl_cv_putenv_copy=no)]) -if test $tcl_cv_putenv_copy = yes; then - AC_DEFINE(HAVE_PUTENV_THAT_COPIES, 1, - [Does putenv() copy strings or incorporate them by reference?]) -fi - -#-------------------------------------------------------------------- -# Check for support of nl_langinfo function -#-------------------------------------------------------------------- - -SC_ENABLE_LANGINFO - -#-------------------------------------------------------------------- -# Check for support of chflags and mkstemps functions -#-------------------------------------------------------------------- - -AC_CHECK_FUNCS(chflags mkstemps) - -#-------------------------------------------------------------------- -# Check for support of isnan() function or macro -#-------------------------------------------------------------------- - -AC_CACHE_CHECK([isnan], tcl_cv_isnan, [ - AC_TRY_LINK([#include ], [ -isnan(0.0); /* Generates an error if isnan is missing */ -], tcl_cv_isnan=yes, tcl_cv_isnan=no)]) -if test $tcl_cv_isnan = no; then - AC_DEFINE(NO_ISNAN, 1, [Do we have a usable 'isnan'?]) -fi - -#-------------------------------------------------------------------- -# Darwin specific API checks and defines -#-------------------------------------------------------------------- - -if test "`uname -s`" = "Darwin" ; then - AC_CHECK_FUNCS(getattrlist) - AC_CHECK_HEADERS(copyfile.h) - AC_CHECK_FUNCS(copyfile) - if test $tcl_corefoundation = yes; then - AC_CHECK_HEADERS(libkern/OSAtomic.h) - AC_CHECK_FUNCS(OSSpinLockLock) - fi - AC_DEFINE(USE_VFORK, 1, [Should we use vfork() instead of fork()?]) - AC_DEFINE(TCL_DEFAULT_ENCODING, "utf-8", - [Are we to override what our default encoding is?]) - AC_DEFINE(TCL_LOAD_FROM_MEMORY, 1, - [Can this platform load code from memory?]) - AC_DEFINE(TCL_WIDE_CLICKS, 1, - [Does this platform have wide high-resolution clicks?]) - AC_CHECK_HEADERS(AvailabilityMacros.h) - if test "$ac_cv_header_AvailabilityMacros_h" = yes; then - AC_CACHE_CHECK([if weak import is available], tcl_cv_cc_weak_import, [ - hold_cflags=$CFLAGS; CFLAGS="$CFLAGS -Werror" - AC_TRY_LINK([ - #ifdef __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ - #if __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ < 1020 - #error __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ < 1020 - #endif - #elif MAC_OS_X_VERSION_MIN_REQUIRED < 1020 - #error MAC_OS_X_VERSION_MIN_REQUIRED < 1020 - #endif - int rand(void) __attribute__((weak_import)); - ], [rand();], - tcl_cv_cc_weak_import=yes, tcl_cv_cc_weak_import=no) - CFLAGS=$hold_cflags]) - if test $tcl_cv_cc_weak_import = yes; then - AC_DEFINE(HAVE_WEAK_IMPORT, 1, [Is weak import available?]) - fi - AC_CACHE_CHECK([if Darwin SUSv3 extensions are available], - tcl_cv_cc_darwin_c_source, [ - hold_cflags=$CFLAGS; CFLAGS="$CFLAGS -Werror" - AC_TRY_COMPILE([ - #ifdef __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ - #if __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ < 1050 - #error __ENVIRONMENT_MAC_OS_X_VERSION_MIN_REQUIRED__ < 1050 - #endif - #elif MAC_OS_X_VERSION_MIN_REQUIRED < 1050 - #error MAC_OS_X_VERSION_MIN_REQUIRED < 1050 - #endif - #define _DARWIN_C_SOURCE 1 - #include - ],,tcl_cv_cc_darwin_c_source=yes, tcl_cv_cc_darwin_c_source=no) - CFLAGS=$hold_cflags]) - if test $tcl_cv_cc_darwin_c_source = yes; then - AC_DEFINE(_DARWIN_C_SOURCE, 1, - [Are Darwin SUSv3 extensions available?]) - fi - fi - # Build .bundle dltest binaries in addition to .dylib - DLTEST_LD='${CC} -bundle -Wl,-w ${CFLAGS} ${LDFLAGS}' - DLTEST_SUFFIX=".bundle" -else - DLTEST_LD='${SHLIB_LD}' - DLTEST_SUFFIX="" -fi - -#-------------------------------------------------------------------- -# Check for support of fts functions (readdir replacement) -#-------------------------------------------------------------------- - -AC_CACHE_CHECK([for fts], tcl_cv_api_fts, [ - AC_TRY_LINK([ - #include - #include - #include - ], [ - char*const p[2] = {"/", NULL}; - FTS *f = fts_open(p, FTS_PHYSICAL|FTS_NOCHDIR|FTS_NOSTAT, NULL); - FTSENT *e = fts_read(f); fts_close(f); - ], tcl_cv_api_fts=yes, tcl_cv_api_fts=no)]) -if test $tcl_cv_api_fts = yes; then - AC_DEFINE(HAVE_FTS, 1, [Do we have fts functions?]) -fi - -#-------------------------------------------------------------------- -# The statements below check for systems where POSIX-style non-blocking -# I/O (O_NONBLOCK) doesn't work or is unimplemented. On these systems -# (mostly older ones), use the old BSD-style FIONBIO approach instead. -#-------------------------------------------------------------------- - -SC_BLOCKING_STYLE - -#------------------------------------------------------------------------ - -AC_MSG_CHECKING([whether to use dll unloading]) -AC_ARG_ENABLE(dll-unloading, - AC_HELP_STRING([--enable-dll-unloading], - [enable the 'unload' command (default: on)]), - [tcl_ok=$enableval], [tcl_ok=yes]) -if test $tcl_ok = yes; then - AC_DEFINE(TCL_UNLOAD_DLLS, 1, [Do we allow unloading of shared libraries?]) -fi -AC_MSG_RESULT([$tcl_ok]) - -#------------------------------------------------------------------------ -# Check whether the timezone data is supplied by the OS or has -# to be installed by Tcl. The default is autodetection, but can -# be overriden on the configure command line either way. -#------------------------------------------------------------------------ - -AC_MSG_CHECKING([for timezone data]) -AC_ARG_WITH(tzdata, - AC_HELP_STRING([--with-tzdata], - [install timezone data (default: autodetect)]), - [tcl_ok=$withval], [tcl_ok=auto]) -# -# Any directories that get added here must also be added to the -# search path in ::tcl::clock::Initialize (library/clock.tcl). -# -case $tcl_ok in - no) - AC_MSG_RESULT([supplied by OS vendor]) - ;; - yes) - # nothing to do here - ;; - auto*) - AC_CACHE_VAL([tcl_cv_dir_zoneinfo], [ - for dir in /usr/share/zoneinfo \ - /usr/share/lib/zoneinfo \ - /usr/lib/zoneinfo - do - if test -f $dir/UTC -o -f $dir/GMT - then - tcl_cv_dir_zoneinfo="$dir" - break - fi - done]) - if test -n "$tcl_cv_dir_zoneinfo"; then - tcl_ok=no - AC_MSG_RESULT([$dir]) - else - tcl_ok=yes - fi - ;; - *) - AC_MSG_ERROR([invalid argument: $tcl_ok]) - ;; -esac -if test $tcl_ok = yes -then - AC_MSG_RESULT([supplied by Tcl]) - INSTALL_TZDATA=install-tzdata -fi - -#-------------------------------------------------------------------- -# DTrace support -#-------------------------------------------------------------------- - -AC_ARG_ENABLE(dtrace, - AC_HELP_STRING([--enable-dtrace], - [build with DTrace support (default: off)]), - [tcl_ok=$enableval], [tcl_ok=no]) -if test $tcl_ok = yes; then - AC_CHECK_HEADER(sys/sdt.h, [tcl_ok=yes], [tcl_ok=no]) -fi -if test $tcl_ok = yes; then - AC_PATH_PROG(DTRACE, dtrace,, [$PATH:/usr/sbin]) - test -z "$ac_cv_path_DTRACE" && tcl_ok=no -fi -AC_MSG_CHECKING([whether to enable DTrace support]) -MAKEFILE_SHELL='/bin/sh' -if test $tcl_ok = yes; then - AC_DEFINE(USE_DTRACE, 1, [Are we building with DTrace support?]) - DTRACE_SRC="\${DTRACE_SRC}" - DTRACE_HDR="\${DTRACE_HDR}" - if test "`uname -s`" != "Darwin" ; then - DTRACE_OBJ="\${DTRACE_OBJ}" - if test "`uname -s`" = "SunOS" -a "$SHARED_BUILD" = "0" ; then - # Need to create an intermediate object file to ensure tclDTrace.o - # gets included when linking against the static tcl library. - STLIB_LD='stlib_ld () { /usr/ccs/bin/ld -r -o $${1%.a}.o "$${@:2}" && '"${STLIB_LD}"' $${1} $${1%.a}.o ; } && stlib_ld' - MAKEFILE_SHELL='/bin/bash' - # Force use of Sun ar and ranlib, the GNU versions choke on - # tclDTrace.o and the combined object file above. - AR='/usr/ccs/bin/ar' - RANLIB='/usr/ccs/bin/ranlib' - fi - fi -fi -AC_MSG_RESULT([$tcl_ok]) - -#-------------------------------------------------------------------- -# The check below checks whether the cpuid instruction is usable. -#-------------------------------------------------------------------- - -AC_CACHE_CHECK([whether the cpuid instruction is usable], tcl_cv_cpuid, [ - AC_TRY_LINK(, [ - int index,regsPtr[4]; - __asm__ __volatile__("mov %%ebx, %%edi \n\t" - "cpuid \n\t" - "mov %%ebx, %%esi \n\t" - "mov %%edi, %%ebx \n\t" - : "=a"(regsPtr[0]), "=S"(regsPtr[1]), "=c"(regsPtr[2]), "=d"(regsPtr[3]) - : "a"(index) : "edi"); - ], tcl_cv_cpuid=yes, tcl_cv_cpuid=no)]) -if test $tcl_cv_cpuid = yes; then - AC_DEFINE(HAVE_CPUID, 1, [Is the cpuid instruction usable?]) -fi - -#-------------------------------------------------------------------- -# The statements below define a collection of symbols related to -# building libtcl as a shared library instead of a static library. -#-------------------------------------------------------------------- - -TCL_UNSHARED_LIB_SUFFIX=${UNSHARED_LIB_SUFFIX} -TCL_SHARED_LIB_SUFFIX=${SHARED_LIB_SUFFIX} -eval "TCL_LIB_FILE=libtcl${LIB_SUFFIX}" - -# tclConfig.sh needs a version of the _LIB_SUFFIX that has been eval'ed -# since on some platforms TCL_LIB_FILE contains shell escapes. -# (See also: TCL_TRIM_DOTS). - -eval "TCL_LIB_FILE=${TCL_LIB_FILE}" - -TCL_LIBRARY='$(prefix)/lib/tcl$(VERSION)' -PRIVATE_INCLUDE_DIR='$(includedir)' -HTML_DIR='$(DISTDIR)/html' - -# Note: in the following variable, it's important to use the absolute -# path name of the Tcl directory rather than "..": this is because -# AIX remembers this path and will attempt to use it at run-time to look -# up the Tcl library. - -if test "`uname -s`" = "Darwin" ; then - SC_ENABLE_FRAMEWORK - TCL_SHLIB_LD_EXTRAS="-compatibility_version ${TCL_VERSION} -current_version ${TCL_VERSION}`echo ${TCL_PATCH_LEVEL} | awk ['{match($0, "\\\.[0-9]+"); print substr($0,RSTART,RLENGTH)}']`" - TCL_SHLIB_LD_EXTRAS="${TCL_SHLIB_LD_EXTRAS}"' -install_name "${DYLIB_INSTALL_DIR}"/${TCL_LIB_FILE}' - echo "$LDFLAGS " | grep -q -- '-prebind ' && TCL_SHLIB_LD_EXTRAS="${TCL_SHLIB_LD_EXTRAS}"' -seg1addr 0xa000000' - TCL_SHLIB_LD_EXTRAS="${TCL_SHLIB_LD_EXTRAS}"' -sectcreate __TEXT __info_plist Tcl-Info.plist' - EXTRA_TCLSH_LIBS='-sectcreate __TEXT __info_plist Tclsh-Info.plist' - EXTRA_APP_CC_SWITCHES='-mdynamic-no-pic' - AC_CONFIG_FILES([Tcl-Info.plist:../macosx/Tcl-Info.plist.in Tclsh-Info.plist:../macosx/Tclsh-Info.plist.in]) - TCL_YEAR="`date +%Y`" -fi - -if test "$FRAMEWORK_BUILD" = "1" ; then - AC_DEFINE(TCL_FRAMEWORK, 1, [Is Tcl built as a framework?]) - # Construct a fake local framework structure to make linking with - # '-framework Tcl' and running of tcltest work - AC_CONFIG_COMMANDS([Tcl.framework], [n=Tcl && - f=$n.framework && v=Versions/$VERSION && - rm -rf $f && mkdir -p $f/$v/Resources && - ln -s $v/$n $v/Resources $f && ln -s ../../../$n $f/$v && - ln -s ../../../../$n-Info.plist $f/$v/Resources/Info.plist && - unset n f v - ], VERSION=${TCL_VERSION}) - LD_LIBRARY_PATH_VAR="DYLD_FRAMEWORK_PATH" - # default install directory for bundled packages - if test "${libdir}" = '${exec_prefix}/lib' -o "`basename ${libdir}`" = 'Frameworks'; then - PACKAGE_DIR="/Library/Tcl" - else - PACKAGE_DIR="$libdir" - fi - if test "${libdir}" = '${exec_prefix}/lib'; then - # override libdir default - libdir="/Library/Frameworks" - fi - TCL_LIB_FILE="Tcl" - TCL_LIB_FLAG="-framework Tcl" - TCL_BUILD_LIB_SPEC="-F`pwd | sed -e 's/ /\\\\ /g'` -framework Tcl" - TCL_LIB_SPEC="-F${libdir} -framework Tcl" - libdir="${libdir}/Tcl.framework/Versions/\${VERSION}" - TCL_LIBRARY="${libdir}/Resources/Scripts" - includedir="${libdir}/Headers" - PRIVATE_INCLUDE_DIR="${libdir}/PrivateHeaders" - HTML_DIR="${libdir}/Resources/Documentation/Reference/Tcl" - EXTRA_INSTALL="install-private-headers html-tcl" - EXTRA_BUILD_HTML='@ln -fs contents.htm "$(HTML_INSTALL_DIR)"/TclTOC.html' - EXTRA_INSTALL_BINARIES='@echo "Installing Info.plist to $(LIB_INSTALL_DIR)/Resources/" && $(INSTALL_DATA_DIR) "$(LIB_INSTALL_DIR)/Resources" && $(INSTALL_DATA) Tcl-Info.plist "$(LIB_INSTALL_DIR)/Resources/Info.plist"' - EXTRA_INSTALL_BINARIES="$EXTRA_INSTALL_BINARIES"' && echo "Installing license.terms to $(LIB_INSTALL_DIR)/Resources/" && $(INSTALL_DATA) "$(TOP_DIR)/license.terms" "$(LIB_INSTALL_DIR)/Resources"' - EXTRA_INSTALL_BINARIES="$EXTRA_INSTALL_BINARIES"' && echo "Finalizing Tcl.framework" && rm -f "$(LIB_INSTALL_DIR)/../Current" && ln -s "$(VERSION)" "$(LIB_INSTALL_DIR)/../Current" && for f in "$(LIB_FILE)" tclConfig.sh Resources Headers PrivateHeaders; do rm -f "$(LIB_INSTALL_DIR)/../../$$f" && ln -s "Versions/Current/$$f" "$(LIB_INSTALL_DIR)/../.."; done && f="$(STUB_LIB_FILE)" && rm -f "$(LIB_INSTALL_DIR)/../../$$f" && ln -s "Versions/$(VERSION)/$$f" "$(LIB_INSTALL_DIR)/../.."' - # Don't use AC_DEFINE for the following as the framework version define - # needs to go into the Makefile even when using autoheader, so that we - # can pick up a potential make override of VERSION. Also, don't put this - # into CFLAGS as it should not go into tclConfig.sh - EXTRA_CC_SWITCHES='-DTCL_FRAMEWORK_VERSION=\"$(VERSION)\"' -else - # libdir must be a fully qualified path and not ${exec_prefix}/lib - eval libdir="$libdir" - # default install directory for bundled packages - PACKAGE_DIR="$libdir" - if test "${TCL_LIB_VERSIONS_OK}" = "ok"; then - TCL_LIB_FLAG="-ltcl${TCL_VERSION}" - else - TCL_LIB_FLAG="-ltcl`echo ${TCL_VERSION} | tr -d .`" - fi - TCL_BUILD_LIB_SPEC="-L`pwd | sed -e 's/ /\\\\ /g'` ${TCL_LIB_FLAG}" - TCL_LIB_SPEC="-L${libdir} ${TCL_LIB_FLAG}" -fi -VERSION='${VERSION}' -eval "CFG_TCL_SHARED_LIB_SUFFIX=${TCL_SHARED_LIB_SUFFIX}" -eval "CFG_TCL_UNSHARED_LIB_SUFFIX=${TCL_UNSHARED_LIB_SUFFIX}" -VERSION=${TCL_VERSION} - -#-------------------------------------------------------------------- -# The statements below define the symbol TCL_PACKAGE_PATH, which -# gives a list of directories that may contain packages. The list -# consists of one directory for machine-dependent binaries and -# another for platform-independent scripts. -#-------------------------------------------------------------------- - -if test "$FRAMEWORK_BUILD" = "1" ; then - test -z "$TCL_PACKAGE_PATH" && \ - TCL_PACKAGE_PATH="~/Library/Tcl /Library/Tcl /System/Library/Tcl ~/Library/Frameworks /Library/Frameworks /System/Library/Frameworks" - test -z "$TCL_MODULE_PATH" && \ - TCL_MODULE_PATH="~/Library/Tcl /Library/Tcl /System/Library/Tcl" -elif test "$prefix/lib" != "$libdir"; then - TCL_PACKAGE_PATH="${libdir} ${prefix}/lib ${TCL_PACKAGE_PATH}" -else - TCL_PACKAGE_PATH="${prefix}/lib ${TCL_PACKAGE_PATH}" -fi - -#-------------------------------------------------------------------- -# The statements below define various symbols relating to Tcl -# stub support. -#-------------------------------------------------------------------- - -# Replace ${VERSION} with contents of ${TCL_VERSION} -# double-eval to account for TCL_TRIM_DOTS. -# -eval "TCL_STUB_LIB_FILE=libtclstub${TCL_UNSHARED_LIB_SUFFIX}" -eval "TCL_STUB_LIB_FILE=\"${TCL_STUB_LIB_FILE}\"" -eval "TCL_STUB_LIB_DIR=${libdir}" - -if test "${TCL_LIB_VERSIONS_OK}" = "ok"; then - TCL_STUB_LIB_FLAG="-ltclstub${TCL_VERSION}" -else - TCL_STUB_LIB_FLAG="-ltclstub`echo ${TCL_VERSION} | tr -d .`" -fi - -TCL_BUILD_STUB_LIB_SPEC="-L`pwd | sed -e 's/ /\\\\ /g'` ${TCL_STUB_LIB_FLAG}" -TCL_STUB_LIB_SPEC="-L${TCL_STUB_LIB_DIR} ${TCL_STUB_LIB_FLAG}" -TCL_BUILD_STUB_LIB_PATH="`pwd`/${TCL_STUB_LIB_FILE}" -TCL_STUB_LIB_PATH="${TCL_STUB_LIB_DIR}/${TCL_STUB_LIB_FILE}" - -# Install time header dir can be set via --includedir -eval "TCL_INCLUDE_SPEC=\"-I${includedir}\"" - -#------------------------------------------------------------------------ -# tclConfig.sh refers to this by a different name -#------------------------------------------------------------------------ - -TCL_SHARED_BUILD=${SHARED_BUILD} - -AC_SUBST(TCL_VERSION) -AC_SUBST(TCL_MAJOR_VERSION) -AC_SUBST(TCL_MINOR_VERSION) -AC_SUBST(TCL_PATCH_LEVEL) -AC_SUBST(TCL_YEAR) -AC_SUBST(PKG_CFG_ARGS) - -AC_SUBST(TCL_LIB_FILE) -AC_SUBST(TCL_LIB_FLAG) -AC_SUBST(TCL_LIB_SPEC) -AC_SUBST(TCL_STUB_LIB_FILE) -AC_SUBST(TCL_STUB_LIB_FLAG) -AC_SUBST(TCL_STUB_LIB_SPEC) -AC_SUBST(TCL_STUB_LIB_PATH) -AC_SUBST(TCL_INCLUDE_SPEC) -AC_SUBST(TCL_BUILD_STUB_LIB_SPEC) -AC_SUBST(TCL_BUILD_STUB_LIB_PATH) - -AC_SUBST(TCL_SRC_DIR) -AC_SUBST(CFG_TCL_SHARED_LIB_SUFFIX) -AC_SUBST(CFG_TCL_UNSHARED_LIB_SUFFIX) - -AC_SUBST(TCL_SHARED_BUILD) -AC_SUBST(LD_LIBRARY_PATH_VAR) - -AC_SUBST(TCL_BUILD_LIB_SPEC) - -AC_SUBST(TCL_LIB_VERSIONS_OK) -AC_SUBST(TCL_SHARED_LIB_SUFFIX) -AC_SUBST(TCL_UNSHARED_LIB_SUFFIX) - -AC_SUBST(TCL_HAS_LONGLONG) - -AC_SUBST(INSTALL_TZDATA) - -AC_SUBST(DTRACE_SRC) -AC_SUBST(DTRACE_HDR) -AC_SUBST(DTRACE_OBJ) -AC_SUBST(MAKEFILE_SHELL) - -AC_SUBST(BUILD_DLTEST) -AC_SUBST(TCL_PACKAGE_PATH) -AC_SUBST(TCL_MODULE_PATH) - -AC_SUBST(TCL_LIBRARY) -AC_SUBST(PRIVATE_INCLUDE_DIR) -AC_SUBST(HTML_DIR) -AC_SUBST(PACKAGE_DIR) - -AC_SUBST(EXTRA_CC_SWITCHES) -AC_SUBST(EXTRA_APP_CC_SWITCHES) -AC_SUBST(EXTRA_INSTALL) -AC_SUBST(EXTRA_INSTALL_BINARIES) -AC_SUBST(EXTRA_BUILD_HTML) -AC_SUBST(EXTRA_TCLSH_LIBS) - -AC_SUBST(DLTEST_LD) -AC_SUBST(DLTEST_SUFFIX) - -dnl Disable the automake-friendly normalization of LIBOBJS -dnl performed by autoconf 2.53 and later. It's not correct for us. -define([_AC_LIBOBJS_NORMALIZE],[]) -AC_CONFIG_FILES([ - Makefile:../unix/Makefile.in - dltest/Makefile:../unix/dltest/Makefile.in - tclConfig.sh:../unix/tclConfig.sh.in - tcl.pc:../unix/tcl.pc.in -]) -AC_OUTPUT - -dnl Local Variables: -dnl mode: autoconf -dnl End: diff --git a/unix/tclConfig.sh.in b/unix/tclConfig.sh.in index b58e9fd..27fd513 100644 --- a/unix/tclConfig.sh.in +++ b/unix/tclConfig.sh.in @@ -66,7 +66,7 @@ TCL_SHLIB_LD='@SHLIB_LD@' TCL_STLIB_LD='@STLIB_LD@' # Either '$LIBS' (if dependent libraries should be included when linking -# shared libraries) or an empty string. See Tcl's configure.in for more +# shared libraries) or an empty string. See Tcl's configure.ac for more # explanation. TCL_SHLIB_LD_LIBS='@SHLIB_LD_LIBS@' diff --git a/win/configure.ac b/win/configure.ac new file mode 100644 index 0000000..7405bf4 --- /dev/null +++ b/win/configure.ac @@ -0,0 +1,464 @@ +#! /bin/bash -norc +# This file is an input file used by the GNU "autoconf" program to +# generate the file "configure", which is run during Tcl installation +# to configure the system for the local environment. + +AC_INIT(../generic/tcl.h) +AC_PREREQ(2.69) + +# The following define is needed when building with Cygwin since newer +# versions of autoconf incorrectly set SHELL to /bin/bash instead of +# /bin/sh. The bash shell seems to suffer from some strange failures. +SHELL=/bin/sh + +TCL_VERSION=8.7 +TCL_MAJOR_VERSION=8 +TCL_MINOR_VERSION=7 +TCL_PATCH_LEVEL="a0" +VER=$TCL_MAJOR_VERSION$TCL_MINOR_VERSION + +TCL_DDE_VERSION=1.4 +TCL_DDE_MAJOR_VERSION=1 +TCL_DDE_MINOR_VERSION=4 +DDEVER=$TCL_DDE_MAJOR_VERSION$TCL_DDE_MINOR_VERSION + +TCL_REG_VERSION=1.3 +TCL_REG_MAJOR_VERSION=1 +TCL_REG_MINOR_VERSION=3 +REGVER=$TCL_REG_MAJOR_VERSION$TCL_REG_MINOR_VERSION + +PKG_CFG_ARGS=$@ + +#------------------------------------------------------------------------ +# Empty slate for bundled packages, to avoid stale configuration +#------------------------------------------------------------------------ +rm -Rf pkgs + +#------------------------------------------------------------------------ +# Handle the --prefix=... option +#------------------------------------------------------------------------ + +if test "${prefix}" = "NONE"; then + prefix=/usr/local +fi +if test "${exec_prefix}" = "NONE"; then + exec_prefix=$prefix +fi +# libdir must be a fully qualified path (not ${exec_prefix}/lib) +eval libdir="$libdir" + +#------------------------------------------------------------------------ +# Standard compiler checks +#------------------------------------------------------------------------ + +# If the user did not set CFLAGS, set it now to keep +# the AC_PROG_CC macro from adding "-g -O2". +if test "${CFLAGS+set}" != "set" ; then + CFLAGS="" +fi + +AC_PROG_CC +AC_C_INLINE +AC_HEADER_STDC + +AC_CHECK_TOOL(AR, ar) +AC_CHECK_TOOL(RANLIB, ranlib) +AC_CHECK_TOOL(RC, windres) + +#-------------------------------------------------------------------- +# Checks to see if the make program sets the $MAKE variable. +#-------------------------------------------------------------------- + +AC_PROG_MAKE_SET + +#-------------------------------------------------------------------- +# Determines the correct binary file extension (.o, .obj, .exe etc.) +#-------------------------------------------------------------------- + +AC_OBJEXT +AC_EXEEXT + +#-------------------------------------------------------------------- +# Check whether --enable-threads or --disable-threads was given. +#-------------------------------------------------------------------- + +SC_ENABLE_THREADS + +#------------------------------------------------------------------------ +# Embedded configuration information, encoding to use for the values, TIP #59 +#------------------------------------------------------------------------ + +SC_TCL_CFG_ENCODING + +#-------------------------------------------------------------------- +# The statements below define a collection of symbols related to +# building libtcl as a shared library instead of a static library. +#-------------------------------------------------------------------- + +SC_ENABLE_SHARED + +#-------------------------------------------------------------------- +# The statements below define a collection of compile flags. This +# macro depends on the value of SHARED_BUILD, and should be called +# after SC_ENABLE_SHARED checks the configure switches. +#-------------------------------------------------------------------- + +SC_CONFIG_CFLAGS + +# Cross-compiling +case ${host_alias} in +*mingw32*) + TCL_EXE="tclsh" + ;; +*) + TCL_EXE="TCL_LIBRARY=\"\${LIBRARY_DIR}\"; export TCL_LIBRARY; ./\${TCLSH}" + ;; +esac + +#------------------------------------------------------------------------ +# Add stuff for zlib; note that this is mostly done in the makefile now +# as we just assume that the platform hasn't got a usable z.lib +#------------------------------------------------------------------------ + +AS_IF([test "${enable_shared+set}" = "set"], [ + enableval="$enable_shared" + tcl_ok=$enableval +], [ + tcl_ok=yes +]) +AS_IF([test "$tcl_ok" = "yes"], [ + AC_SUBST(ZLIB_DLL_FILE,[\${ZLIB_DLL_FILE}]) + AS_IF([test "$do64bit" = "yes"], [ + AS_IF([test "$GCC" == "yes"],[ + AC_SUBST(ZLIB_LIBS,[\${ZLIB_DIR_NATIVE}/win64/libz.dll.a]) + ], [ + AC_SUBST(ZLIB_LIBS,[\${ZLIB_DIR_NATIVE}/win64/zdll.lib]) + ]) + ], [ + AC_SUBST(ZLIB_LIBS,[\${ZLIB_DIR_NATIVE}/win32/zdll.lib]) + ]) +], [ + AC_SUBST(ZLIB_OBJS,[\${ZLIB_OBJS}]) +]) +AC_DEFINE(HAVE_ZLIB, 1, [Is there an installed zlib?]) + +AC_CHECK_TYPE([intptr_t], [ + AC_DEFINE([HAVE_INTPTR_T], 1, [Do we have the intptr_t type?])], [ + AC_CACHE_CHECK([for pointer-size signed integer type], tcl_cv_intptr_t, [ + for tcl_cv_intptr_t in "int" "long" "long long" none; do + if test "$tcl_cv_intptr_t" != none; then + AC_COMPILE_IFELSE([AC_LANG_BOOL_COMPILE_TRY([AC_INCLUDES_DEFAULT], + [[sizeof (void *) <= sizeof ($tcl_cv_intptr_t)]])], + [tcl_ok=yes], [tcl_ok=no]) + test "$tcl_ok" = yes && break; fi + done]) + if test "$tcl_cv_intptr_t" != none; then + AC_DEFINE_UNQUOTED([intptr_t], [$tcl_cv_intptr_t], [Signed integer + type wide enough to hold a pointer.]) + fi +]) +AC_CHECK_TYPE([uintptr_t], [ + AC_DEFINE([HAVE_UINTPTR_T], 1, [Do we have the uintptr_t type?])], [ + AC_CACHE_CHECK([for pointer-size unsigned integer type], tcl_cv_uintptr_t, [ + for tcl_cv_uintptr_t in "unsigned int" "unsigned long" "unsigned long long" \ + none; do + if test "$tcl_cv_uintptr_t" != none; then + AC_COMPILE_IFELSE([AC_LANG_BOOL_COMPILE_TRY([AC_INCLUDES_DEFAULT], + [[sizeof (void *) <= sizeof ($tcl_cv_uintptr_t)]])], + [tcl_ok=yes], [tcl_ok=no]) + test "$tcl_ok" = yes && break; fi + done]) + if test "$tcl_cv_uintptr_t" != none; then + AC_DEFINE_UNQUOTED([uintptr_t], [$tcl_cv_uintptr_t], [Unsigned integer + type wide enough to hold a pointer.]) + fi +]) + +#-------------------------------------------------------------------- +# Perform additinal compiler tests. +#-------------------------------------------------------------------- + +# See if declarations like FINDEX_INFO_LEVELS are +# missing from winbase.h. This is known to be +# a problem with VC++ 5.2. + +AC_CACHE_CHECK(for FINDEX_INFO_LEVELS in winbase.h, + tcl_cv_findex_enums, +AC_TRY_COMPILE([ +#define WIN32_LEAN_AND_MEAN +#include +#undef WIN32_LEAN_AND_MEAN +], +[ + FINDEX_INFO_LEVELS i; + FINDEX_SEARCH_OPS j; +], + tcl_cv_findex_enums=yes, + tcl_cv_findex_enums=no) +) +if test "$tcl_cv_findex_enums" = "no"; then + AC_DEFINE(HAVE_NO_FINDEX_ENUMS, 1, + [Defined when enums are missing from winbase.h]) +fi + +# See if the compiler supports intrinsics. + +AC_CACHE_CHECK(for intrinsics support in compiler, + tcl_cv_intrinsics, +AC_TRY_LINK([ +#define WIN32_LEAN_AND_MEAN +#include +#undef WIN32_LEAN_AND_MEAN +#include +], +[ + __cpuidex(0,0,0); +], + tcl_cv_intrinsics=yes, + tcl_cv_intrinsics=no) +) +if test "$tcl_cv_intrinsics" = "yes"; then + AC_DEFINE(HAVE_INTRIN_H, 1, + [Defined when the compilers supports intrinsics]) +fi + +# See if the header file is present + +AC_CACHE_CHECK(for wspiapi.h, + tcl_cv_wspiapi_h, +AC_TRY_COMPILE([ +#include +], [], + tcl_cv_wspiapi_h=yes, + tcl_cv_wspiapi_h=no) +) +if test "$tcl_cv_wspiapi_h" = "yes"; then + AC_DEFINE(HAVE_WSPIAPI_H, 1, + [Defined when wspiapi.h exists]) +fi + +# See if declarations like FINDEX_INFO_LEVELS are +# missing from winbase.h. This is known to be +# a problem with VC++ 5.2. + +AC_CACHE_CHECK(for FINDEX_INFO_LEVELS in winbase.h, + tcl_cv_findex_enums, +AC_TRY_COMPILE([ +#define WIN32_LEAN_AND_MEAN +#include +#undef WIN32_LEAN_AND_MEAN +], +[ + FINDEX_INFO_LEVELS i; + FINDEX_SEARCH_OPS j; +], + tcl_cv_findex_enums=yes, + tcl_cv_findex_enums=no) +) +if test "$tcl_cv_findex_enums" = "no"; then + AC_DEFINE(HAVE_NO_FINDEX_ENUMS, 1, + [Defined when enums are missing from winbase.h]) +fi + +#-------------------------------------------------------------------- +# Set the default compiler switches based on the --enable-symbols +# option. This macro depends on C flags, and should be called +# after SC_CONFIG_CFLAGS macro is called. +#-------------------------------------------------------------------- + +SC_ENABLE_SYMBOLS + +TCL_DBGX=${DBGX} + +#-------------------------------------------------------------------- +# Embed the manifest if we can determine how +#-------------------------------------------------------------------- + +SC_EMBED_MANIFEST + +#------------------------------------------------------------------------ +# tclConfig.sh refers to this by a different name +#------------------------------------------------------------------------ + +TCL_SHARED_BUILD=${SHARED_BUILD} + +#-------------------------------------------------------------------- +# Perform final evaluations of variables with possible substitutions. +#-------------------------------------------------------------------- + +TCL_SHARED_LIB_SUFFIX="\${NODOT_VERSION}${DLLSUFFIX}" +TCL_UNSHARED_LIB_SUFFIX="\${NODOT_VERSION}${LIBSUFFIX}" +TCL_EXPORT_FILE_SUFFIX="\${NODOT_VERSION}${LIBSUFFIX}" + +eval "TCL_SRC_DIR=\"`cd $srcdir/..; $CYGPATH $(pwd)`\"" + +eval "TCL_DLL_FILE=tcl${VER}${DLLSUFFIX}" + +eval "TCL_STUB_LIB_FILE=\"${LIBPREFIX}tclstub${VER}${LIBSUFFIX}\"" +eval "TCL_STUB_LIB_FLAG=\"-ltclstub${VER}${LIBFLAGSUFFIX}\"" +eval "TCL_BUILD_STUB_LIB_SPEC=\"-L`$CYGPATH $(pwd)` ${TCL_STUB_LIB_FLAG}\"" +eval "TCL_STUB_LIB_SPEC=\"-L${libdir} ${TCL_STUB_LIB_FLAG}\"" +eval "TCL_BUILD_STUB_LIB_PATH=\"`$CYGPATH $(pwd)`/${TCL_STUB_LIB_FILE}\"" +eval "TCL_STUB_LIB_PATH=\"${libdir}/${TCL_STUB_LIB_FILE}\"" + +eval "TCL_LIB_FILE=\"${LIBPREFIX}tcl${VER}${LIBSUFFIX}\"" +eval "TCL_BUILD_LIB_SPEC=\"-L`$CYGPATH $(pwd)` -ltcl${VER}${FLAGSUFFIX}\"" +eval "TCL_LIB_SPEC=\"-L${libdir} -ltcl${VER}${FLAGSUFFIX}\"" + +# Install time header dir can be set via --includedir +eval "TCL_INCLUDE_SPEC=\"-I${includedir}\"" + + +eval "DLLSUFFIX=${DLLSUFFIX}" +eval "LIBPREFIX=${LIBPREFIX}" +eval "LIBSUFFIX=${LIBSUFFIX}" +eval "EXESUFFIX=${EXESUFFIX}" + +CFG_TCL_SHARED_LIB_SUFFIX=${TCL_SHARED_LIB_SUFFIX} +CFG_TCL_UNSHARED_LIB_SUFFIX=${TCL_UNSHARED_LIB_SUFFIX} +CFG_TCL_EXPORT_FILE_SUFFIX=${TCL_EXPORT_FILE_SUFFIX} + +#-------------------------------------------------------------------- +# Adjust the defines for how the resources are built depending +# on symbols and static vs. shared. +#-------------------------------------------------------------------- + +if test ${SHARED_BUILD} = 0 ; then + if test "${DBGX}" = "g"; then + RC_DEFINES="${RC_DEFINE} STATIC_BUILD ${RC_DEFINE} DEBUG" + else + RC_DEFINES="${RC_DEFINE} STATIC_BUILD" + fi +else + if test "${DBGX}" = "g"; then + RC_DEFINES="${RC_DEFINE} DEBUG" + else + RC_DEFINES="" + fi +fi + +#-------------------------------------------------------------------- +# The statements below define the symbol TCL_PACKAGE_PATH, which +# gives a list of directories that may contain packages. The list +# consists of one directory for machine-dependent binaries and +# another for platform-independent scripts. +#-------------------------------------------------------------------- + +if test "$prefix/lib" != "$libdir"; then + TCL_PACKAGE_PATH="${libdir} ${prefix}/lib" +else + TCL_PACKAGE_PATH="${prefix}/lib" +fi + +# The tclsh.exe.manifest requires these +# TCL_WIN_VERSION is the 4 dotted pair Windows version format which needs +# the release level, and must account for interim release versioning +case "$TCL_PATCH_LEVEL" in + *a*) TCL_RELEASE_LEVEL=0 ;; + *b*) TCL_RELEASE_LEVEL=1 ;; + *) TCL_RELEASE_LEVEL=2 ;; +esac +TCL_WIN_VERSION="$TCL_VERSION.$TCL_RELEASE_LEVEL.`echo $TCL_PATCH_LEVEL | tr -d ab.`" +AC_SUBST(TCL_WIN_VERSION) +# X86|AMD64|IA64 for manifest +AC_SUBST(MACHINE) + +AC_SUBST(TCL_VERSION) +AC_SUBST(TCL_MAJOR_VERSION) +AC_SUBST(TCL_MINOR_VERSION) +AC_SUBST(TCL_PATCH_LEVEL) +AC_SUBST(PKG_CFG_ARGS) +AC_SUBST(TCL_EXE) + +AC_SUBST(TCL_LIB_FILE) +AC_SUBST(TCL_LIB_FLAG) +AC_SUBST(TCL_STATIC_LIB_FILE) +AC_SUBST(TCL_STATIC_LIB_FLAG) +AC_SUBST(TCL_IMPORT_LIB_FILE) +AC_SUBST(TCL_IMPORT_LIB_FLAG) +# empty on win +AC_SUBST(TCL_LIB_SPEC) +AC_SUBST(TCL_STUB_LIB_FILE) +AC_SUBST(TCL_STUB_LIB_FLAG) +AC_SUBST(TCL_STUB_LIB_SPEC) +AC_SUBST(TCL_STUB_LIB_PATH) +AC_SUBST(TCL_INCLUDE_SPEC) +AC_SUBST(TCL_BUILD_STUB_LIB_SPEC) +AC_SUBST(TCL_BUILD_STUB_LIB_PATH) +AC_SUBST(TCL_DLL_FILE) + +AC_SUBST(TCL_SRC_DIR) +AC_SUBST(TCL_BIN_DIR) +AC_SUBST(TCL_DBGX) +AC_SUBST(CFG_TCL_SHARED_LIB_SUFFIX) +AC_SUBST(CFG_TCL_UNSHARED_LIB_SUFFIX) +AC_SUBST(CFG_TCL_EXPORT_FILE_SUFFIX) + +# win/tcl.m4 doesn't set (CFLAGS) +AC_SUBST(CFLAGS_DEFAULT) +AC_SUBST(EXTRA_CFLAGS) +AC_SUBST(CYGPATH) +AC_SUBST(DEPARG) +AC_SUBST(CC_OBJNAME) +AC_SUBST(CC_EXENAME) + +# win/tcl.m4 doesn't set (LDFLAGS) +AC_SUBST(LDFLAGS_DEFAULT) +AC_SUBST(LDFLAGS_DEBUG) +AC_SUBST(LDFLAGS_OPTIMIZE) +AC_SUBST(LDFLAGS_CONSOLE) +AC_SUBST(LDFLAGS_WINDOW) +AC_SUBST(AR) +AC_SUBST(RANLIB) + +AC_SUBST(STLIB_LD) +AC_SUBST(SHLIB_LD) +AC_SUBST(SHLIB_LD_LIBS) +AC_SUBST(SHLIB_CFLAGS) +AC_SUBST(SHLIB_SUFFIX) +AC_SUBST(TCL_SHARED_BUILD) + +AC_SUBST(LIBS) +AC_SUBST(LIBS_GUI) +AC_SUBST(DLLSUFFIX) +AC_SUBST(LIBPREFIX) +AC_SUBST(LIBSUFFIX) +AC_SUBST(EXESUFFIX) +AC_SUBST(LIBRARIES) +AC_SUBST(MAKE_LIB) +AC_SUBST(MAKE_STUB_LIB) +AC_SUBST(POST_MAKE_LIB) +AC_SUBST(MAKE_DLL) +AC_SUBST(MAKE_EXE) + +# empty on win, but needs sub'ing +AC_SUBST(TCL_BUILD_LIB_SPEC) +AC_SUBST(TCL_LD_SEARCH_FLAGS) +AC_SUBST(TCL_NEEDS_EXP_FILE) +AC_SUBST(TCL_BUILD_EXP_FILE) +AC_SUBST(TCL_EXP_FILE) +AC_SUBST(DL_LIBS) +AC_SUBST(TCL_LIB_VERSIONS_OK) +AC_SUBST(TCL_PACKAGE_PATH) + +# win only +AC_SUBST(TCL_DDE_VERSION) +AC_SUBST(TCL_DDE_MAJOR_VERSION) +AC_SUBST(TCL_DDE_MINOR_VERSION) +AC_SUBST(TCL_REG_VERSION) +AC_SUBST(TCL_REG_MAJOR_VERSION) +AC_SUBST(TCL_REG_MINOR_VERSION) + +AC_SUBST(RC) +AC_SUBST(RC_OUT) +AC_SUBST(RC_TYPE) +AC_SUBST(RC_INCLUDE) +AC_SUBST(RC_DEFINE) +AC_SUBST(RC_DEFINES) +AC_SUBST(RES) + +AC_OUTPUT(Makefile tclConfig.sh tcl.hpj tclsh.exe.manifest) + +dnl Local Variables: +dnl mode: autoconf; +dnl End: diff --git a/win/configure.in b/win/configure.in deleted file mode 100644 index 7405bf4..0000000 --- a/win/configure.in +++ /dev/null @@ -1,464 +0,0 @@ -#! /bin/bash -norc -# This file is an input file used by the GNU "autoconf" program to -# generate the file "configure", which is run during Tcl installation -# to configure the system for the local environment. - -AC_INIT(../generic/tcl.h) -AC_PREREQ(2.69) - -# The following define is needed when building with Cygwin since newer -# versions of autoconf incorrectly set SHELL to /bin/bash instead of -# /bin/sh. The bash shell seems to suffer from some strange failures. -SHELL=/bin/sh - -TCL_VERSION=8.7 -TCL_MAJOR_VERSION=8 -TCL_MINOR_VERSION=7 -TCL_PATCH_LEVEL="a0" -VER=$TCL_MAJOR_VERSION$TCL_MINOR_VERSION - -TCL_DDE_VERSION=1.4 -TCL_DDE_MAJOR_VERSION=1 -TCL_DDE_MINOR_VERSION=4 -DDEVER=$TCL_DDE_MAJOR_VERSION$TCL_DDE_MINOR_VERSION - -TCL_REG_VERSION=1.3 -TCL_REG_MAJOR_VERSION=1 -TCL_REG_MINOR_VERSION=3 -REGVER=$TCL_REG_MAJOR_VERSION$TCL_REG_MINOR_VERSION - -PKG_CFG_ARGS=$@ - -#------------------------------------------------------------------------ -# Empty slate for bundled packages, to avoid stale configuration -#------------------------------------------------------------------------ -rm -Rf pkgs - -#------------------------------------------------------------------------ -# Handle the --prefix=... option -#------------------------------------------------------------------------ - -if test "${prefix}" = "NONE"; then - prefix=/usr/local -fi -if test "${exec_prefix}" = "NONE"; then - exec_prefix=$prefix -fi -# libdir must be a fully qualified path (not ${exec_prefix}/lib) -eval libdir="$libdir" - -#------------------------------------------------------------------------ -# Standard compiler checks -#------------------------------------------------------------------------ - -# If the user did not set CFLAGS, set it now to keep -# the AC_PROG_CC macro from adding "-g -O2". -if test "${CFLAGS+set}" != "set" ; then - CFLAGS="" -fi - -AC_PROG_CC -AC_C_INLINE -AC_HEADER_STDC - -AC_CHECK_TOOL(AR, ar) -AC_CHECK_TOOL(RANLIB, ranlib) -AC_CHECK_TOOL(RC, windres) - -#-------------------------------------------------------------------- -# Checks to see if the make program sets the $MAKE variable. -#-------------------------------------------------------------------- - -AC_PROG_MAKE_SET - -#-------------------------------------------------------------------- -# Determines the correct binary file extension (.o, .obj, .exe etc.) -#-------------------------------------------------------------------- - -AC_OBJEXT -AC_EXEEXT - -#-------------------------------------------------------------------- -# Check whether --enable-threads or --disable-threads was given. -#-------------------------------------------------------------------- - -SC_ENABLE_THREADS - -#------------------------------------------------------------------------ -# Embedded configuration information, encoding to use for the values, TIP #59 -#------------------------------------------------------------------------ - -SC_TCL_CFG_ENCODING - -#-------------------------------------------------------------------- -# The statements below define a collection of symbols related to -# building libtcl as a shared library instead of a static library. -#-------------------------------------------------------------------- - -SC_ENABLE_SHARED - -#-------------------------------------------------------------------- -# The statements below define a collection of compile flags. This -# macro depends on the value of SHARED_BUILD, and should be called -# after SC_ENABLE_SHARED checks the configure switches. -#-------------------------------------------------------------------- - -SC_CONFIG_CFLAGS - -# Cross-compiling -case ${host_alias} in -*mingw32*) - TCL_EXE="tclsh" - ;; -*) - TCL_EXE="TCL_LIBRARY=\"\${LIBRARY_DIR}\"; export TCL_LIBRARY; ./\${TCLSH}" - ;; -esac - -#------------------------------------------------------------------------ -# Add stuff for zlib; note that this is mostly done in the makefile now -# as we just assume that the platform hasn't got a usable z.lib -#------------------------------------------------------------------------ - -AS_IF([test "${enable_shared+set}" = "set"], [ - enableval="$enable_shared" - tcl_ok=$enableval -], [ - tcl_ok=yes -]) -AS_IF([test "$tcl_ok" = "yes"], [ - AC_SUBST(ZLIB_DLL_FILE,[\${ZLIB_DLL_FILE}]) - AS_IF([test "$do64bit" = "yes"], [ - AS_IF([test "$GCC" == "yes"],[ - AC_SUBST(ZLIB_LIBS,[\${ZLIB_DIR_NATIVE}/win64/libz.dll.a]) - ], [ - AC_SUBST(ZLIB_LIBS,[\${ZLIB_DIR_NATIVE}/win64/zdll.lib]) - ]) - ], [ - AC_SUBST(ZLIB_LIBS,[\${ZLIB_DIR_NATIVE}/win32/zdll.lib]) - ]) -], [ - AC_SUBST(ZLIB_OBJS,[\${ZLIB_OBJS}]) -]) -AC_DEFINE(HAVE_ZLIB, 1, [Is there an installed zlib?]) - -AC_CHECK_TYPE([intptr_t], [ - AC_DEFINE([HAVE_INTPTR_T], 1, [Do we have the intptr_t type?])], [ - AC_CACHE_CHECK([for pointer-size signed integer type], tcl_cv_intptr_t, [ - for tcl_cv_intptr_t in "int" "long" "long long" none; do - if test "$tcl_cv_intptr_t" != none; then - AC_COMPILE_IFELSE([AC_LANG_BOOL_COMPILE_TRY([AC_INCLUDES_DEFAULT], - [[sizeof (void *) <= sizeof ($tcl_cv_intptr_t)]])], - [tcl_ok=yes], [tcl_ok=no]) - test "$tcl_ok" = yes && break; fi - done]) - if test "$tcl_cv_intptr_t" != none; then - AC_DEFINE_UNQUOTED([intptr_t], [$tcl_cv_intptr_t], [Signed integer - type wide enough to hold a pointer.]) - fi -]) -AC_CHECK_TYPE([uintptr_t], [ - AC_DEFINE([HAVE_UINTPTR_T], 1, [Do we have the uintptr_t type?])], [ - AC_CACHE_CHECK([for pointer-size unsigned integer type], tcl_cv_uintptr_t, [ - for tcl_cv_uintptr_t in "unsigned int" "unsigned long" "unsigned long long" \ - none; do - if test "$tcl_cv_uintptr_t" != none; then - AC_COMPILE_IFELSE([AC_LANG_BOOL_COMPILE_TRY([AC_INCLUDES_DEFAULT], - [[sizeof (void *) <= sizeof ($tcl_cv_uintptr_t)]])], - [tcl_ok=yes], [tcl_ok=no]) - test "$tcl_ok" = yes && break; fi - done]) - if test "$tcl_cv_uintptr_t" != none; then - AC_DEFINE_UNQUOTED([uintptr_t], [$tcl_cv_uintptr_t], [Unsigned integer - type wide enough to hold a pointer.]) - fi -]) - -#-------------------------------------------------------------------- -# Perform additinal compiler tests. -#-------------------------------------------------------------------- - -# See if declarations like FINDEX_INFO_LEVELS are -# missing from winbase.h. This is known to be -# a problem with VC++ 5.2. - -AC_CACHE_CHECK(for FINDEX_INFO_LEVELS in winbase.h, - tcl_cv_findex_enums, -AC_TRY_COMPILE([ -#define WIN32_LEAN_AND_MEAN -#include -#undef WIN32_LEAN_AND_MEAN -], -[ - FINDEX_INFO_LEVELS i; - FINDEX_SEARCH_OPS j; -], - tcl_cv_findex_enums=yes, - tcl_cv_findex_enums=no) -) -if test "$tcl_cv_findex_enums" = "no"; then - AC_DEFINE(HAVE_NO_FINDEX_ENUMS, 1, - [Defined when enums are missing from winbase.h]) -fi - -# See if the compiler supports intrinsics. - -AC_CACHE_CHECK(for intrinsics support in compiler, - tcl_cv_intrinsics, -AC_TRY_LINK([ -#define WIN32_LEAN_AND_MEAN -#include -#undef WIN32_LEAN_AND_MEAN -#include -], -[ - __cpuidex(0,0,0); -], - tcl_cv_intrinsics=yes, - tcl_cv_intrinsics=no) -) -if test "$tcl_cv_intrinsics" = "yes"; then - AC_DEFINE(HAVE_INTRIN_H, 1, - [Defined when the compilers supports intrinsics]) -fi - -# See if the header file is present - -AC_CACHE_CHECK(for wspiapi.h, - tcl_cv_wspiapi_h, -AC_TRY_COMPILE([ -#include -], [], - tcl_cv_wspiapi_h=yes, - tcl_cv_wspiapi_h=no) -) -if test "$tcl_cv_wspiapi_h" = "yes"; then - AC_DEFINE(HAVE_WSPIAPI_H, 1, - [Defined when wspiapi.h exists]) -fi - -# See if declarations like FINDEX_INFO_LEVELS are -# missing from winbase.h. This is known to be -# a problem with VC++ 5.2. - -AC_CACHE_CHECK(for FINDEX_INFO_LEVELS in winbase.h, - tcl_cv_findex_enums, -AC_TRY_COMPILE([ -#define WIN32_LEAN_AND_MEAN -#include -#undef WIN32_LEAN_AND_MEAN -], -[ - FINDEX_INFO_LEVELS i; - FINDEX_SEARCH_OPS j; -], - tcl_cv_findex_enums=yes, - tcl_cv_findex_enums=no) -) -if test "$tcl_cv_findex_enums" = "no"; then - AC_DEFINE(HAVE_NO_FINDEX_ENUMS, 1, - [Defined when enums are missing from winbase.h]) -fi - -#-------------------------------------------------------------------- -# Set the default compiler switches based on the --enable-symbols -# option. This macro depends on C flags, and should be called -# after SC_CONFIG_CFLAGS macro is called. -#-------------------------------------------------------------------- - -SC_ENABLE_SYMBOLS - -TCL_DBGX=${DBGX} - -#-------------------------------------------------------------------- -# Embed the manifest if we can determine how -#-------------------------------------------------------------------- - -SC_EMBED_MANIFEST - -#------------------------------------------------------------------------ -# tclConfig.sh refers to this by a different name -#------------------------------------------------------------------------ - -TCL_SHARED_BUILD=${SHARED_BUILD} - -#-------------------------------------------------------------------- -# Perform final evaluations of variables with possible substitutions. -#-------------------------------------------------------------------- - -TCL_SHARED_LIB_SUFFIX="\${NODOT_VERSION}${DLLSUFFIX}" -TCL_UNSHARED_LIB_SUFFIX="\${NODOT_VERSION}${LIBSUFFIX}" -TCL_EXPORT_FILE_SUFFIX="\${NODOT_VERSION}${LIBSUFFIX}" - -eval "TCL_SRC_DIR=\"`cd $srcdir/..; $CYGPATH $(pwd)`\"" - -eval "TCL_DLL_FILE=tcl${VER}${DLLSUFFIX}" - -eval "TCL_STUB_LIB_FILE=\"${LIBPREFIX}tclstub${VER}${LIBSUFFIX}\"" -eval "TCL_STUB_LIB_FLAG=\"-ltclstub${VER}${LIBFLAGSUFFIX}\"" -eval "TCL_BUILD_STUB_LIB_SPEC=\"-L`$CYGPATH $(pwd)` ${TCL_STUB_LIB_FLAG}\"" -eval "TCL_STUB_LIB_SPEC=\"-L${libdir} ${TCL_STUB_LIB_FLAG}\"" -eval "TCL_BUILD_STUB_LIB_PATH=\"`$CYGPATH $(pwd)`/${TCL_STUB_LIB_FILE}\"" -eval "TCL_STUB_LIB_PATH=\"${libdir}/${TCL_STUB_LIB_FILE}\"" - -eval "TCL_LIB_FILE=\"${LIBPREFIX}tcl${VER}${LIBSUFFIX}\"" -eval "TCL_BUILD_LIB_SPEC=\"-L`$CYGPATH $(pwd)` -ltcl${VER}${FLAGSUFFIX}\"" -eval "TCL_LIB_SPEC=\"-L${libdir} -ltcl${VER}${FLAGSUFFIX}\"" - -# Install time header dir can be set via --includedir -eval "TCL_INCLUDE_SPEC=\"-I${includedir}\"" - - -eval "DLLSUFFIX=${DLLSUFFIX}" -eval "LIBPREFIX=${LIBPREFIX}" -eval "LIBSUFFIX=${LIBSUFFIX}" -eval "EXESUFFIX=${EXESUFFIX}" - -CFG_TCL_SHARED_LIB_SUFFIX=${TCL_SHARED_LIB_SUFFIX} -CFG_TCL_UNSHARED_LIB_SUFFIX=${TCL_UNSHARED_LIB_SUFFIX} -CFG_TCL_EXPORT_FILE_SUFFIX=${TCL_EXPORT_FILE_SUFFIX} - -#-------------------------------------------------------------------- -# Adjust the defines for how the resources are built depending -# on symbols and static vs. shared. -#-------------------------------------------------------------------- - -if test ${SHARED_BUILD} = 0 ; then - if test "${DBGX}" = "g"; then - RC_DEFINES="${RC_DEFINE} STATIC_BUILD ${RC_DEFINE} DEBUG" - else - RC_DEFINES="${RC_DEFINE} STATIC_BUILD" - fi -else - if test "${DBGX}" = "g"; then - RC_DEFINES="${RC_DEFINE} DEBUG" - else - RC_DEFINES="" - fi -fi - -#-------------------------------------------------------------------- -# The statements below define the symbol TCL_PACKAGE_PATH, which -# gives a list of directories that may contain packages. The list -# consists of one directory for machine-dependent binaries and -# another for platform-independent scripts. -#-------------------------------------------------------------------- - -if test "$prefix/lib" != "$libdir"; then - TCL_PACKAGE_PATH="${libdir} ${prefix}/lib" -else - TCL_PACKAGE_PATH="${prefix}/lib" -fi - -# The tclsh.exe.manifest requires these -# TCL_WIN_VERSION is the 4 dotted pair Windows version format which needs -# the release level, and must account for interim release versioning -case "$TCL_PATCH_LEVEL" in - *a*) TCL_RELEASE_LEVEL=0 ;; - *b*) TCL_RELEASE_LEVEL=1 ;; - *) TCL_RELEASE_LEVEL=2 ;; -esac -TCL_WIN_VERSION="$TCL_VERSION.$TCL_RELEASE_LEVEL.`echo $TCL_PATCH_LEVEL | tr -d ab.`" -AC_SUBST(TCL_WIN_VERSION) -# X86|AMD64|IA64 for manifest -AC_SUBST(MACHINE) - -AC_SUBST(TCL_VERSION) -AC_SUBST(TCL_MAJOR_VERSION) -AC_SUBST(TCL_MINOR_VERSION) -AC_SUBST(TCL_PATCH_LEVEL) -AC_SUBST(PKG_CFG_ARGS) -AC_SUBST(TCL_EXE) - -AC_SUBST(TCL_LIB_FILE) -AC_SUBST(TCL_LIB_FLAG) -AC_SUBST(TCL_STATIC_LIB_FILE) -AC_SUBST(TCL_STATIC_LIB_FLAG) -AC_SUBST(TCL_IMPORT_LIB_FILE) -AC_SUBST(TCL_IMPORT_LIB_FLAG) -# empty on win -AC_SUBST(TCL_LIB_SPEC) -AC_SUBST(TCL_STUB_LIB_FILE) -AC_SUBST(TCL_STUB_LIB_FLAG) -AC_SUBST(TCL_STUB_LIB_SPEC) -AC_SUBST(TCL_STUB_LIB_PATH) -AC_SUBST(TCL_INCLUDE_SPEC) -AC_SUBST(TCL_BUILD_STUB_LIB_SPEC) -AC_SUBST(TCL_BUILD_STUB_LIB_PATH) -AC_SUBST(TCL_DLL_FILE) - -AC_SUBST(TCL_SRC_DIR) -AC_SUBST(TCL_BIN_DIR) -AC_SUBST(TCL_DBGX) -AC_SUBST(CFG_TCL_SHARED_LIB_SUFFIX) -AC_SUBST(CFG_TCL_UNSHARED_LIB_SUFFIX) -AC_SUBST(CFG_TCL_EXPORT_FILE_SUFFIX) - -# win/tcl.m4 doesn't set (CFLAGS) -AC_SUBST(CFLAGS_DEFAULT) -AC_SUBST(EXTRA_CFLAGS) -AC_SUBST(CYGPATH) -AC_SUBST(DEPARG) -AC_SUBST(CC_OBJNAME) -AC_SUBST(CC_EXENAME) - -# win/tcl.m4 doesn't set (LDFLAGS) -AC_SUBST(LDFLAGS_DEFAULT) -AC_SUBST(LDFLAGS_DEBUG) -AC_SUBST(LDFLAGS_OPTIMIZE) -AC_SUBST(LDFLAGS_CONSOLE) -AC_SUBST(LDFLAGS_WINDOW) -AC_SUBST(AR) -AC_SUBST(RANLIB) - -AC_SUBST(STLIB_LD) -AC_SUBST(SHLIB_LD) -AC_SUBST(SHLIB_LD_LIBS) -AC_SUBST(SHLIB_CFLAGS) -AC_SUBST(SHLIB_SUFFIX) -AC_SUBST(TCL_SHARED_BUILD) - -AC_SUBST(LIBS) -AC_SUBST(LIBS_GUI) -AC_SUBST(DLLSUFFIX) -AC_SUBST(LIBPREFIX) -AC_SUBST(LIBSUFFIX) -AC_SUBST(EXESUFFIX) -AC_SUBST(LIBRARIES) -AC_SUBST(MAKE_LIB) -AC_SUBST(MAKE_STUB_LIB) -AC_SUBST(POST_MAKE_LIB) -AC_SUBST(MAKE_DLL) -AC_SUBST(MAKE_EXE) - -# empty on win, but needs sub'ing -AC_SUBST(TCL_BUILD_LIB_SPEC) -AC_SUBST(TCL_LD_SEARCH_FLAGS) -AC_SUBST(TCL_NEEDS_EXP_FILE) -AC_SUBST(TCL_BUILD_EXP_FILE) -AC_SUBST(TCL_EXP_FILE) -AC_SUBST(DL_LIBS) -AC_SUBST(TCL_LIB_VERSIONS_OK) -AC_SUBST(TCL_PACKAGE_PATH) - -# win only -AC_SUBST(TCL_DDE_VERSION) -AC_SUBST(TCL_DDE_MAJOR_VERSION) -AC_SUBST(TCL_DDE_MINOR_VERSION) -AC_SUBST(TCL_REG_VERSION) -AC_SUBST(TCL_REG_MAJOR_VERSION) -AC_SUBST(TCL_REG_MINOR_VERSION) - -AC_SUBST(RC) -AC_SUBST(RC_OUT) -AC_SUBST(RC_TYPE) -AC_SUBST(RC_INCLUDE) -AC_SUBST(RC_DEFINE) -AC_SUBST(RC_DEFINES) -AC_SUBST(RES) - -AC_OUTPUT(Makefile tclConfig.sh tcl.hpj tclsh.exe.manifest) - -dnl Local Variables: -dnl mode: autoconf; -dnl End: diff --git a/win/tcl.dsp b/win/tcl.dsp index 96d5893..9ea990b 100644 --- a/win/tcl.dsp +++ b/win/tcl.dsp @@ -1424,7 +1424,7 @@ SOURCE=.\configure # End Source File # Begin Source File -SOURCE=.\configure.in +SOURCE=.\configure.ac # End Source File # Begin Source File diff --git a/win/tclConfig.sh.in b/win/tclConfig.sh.in index 75324b2..b060370 100644 --- a/win/tclConfig.sh.in +++ b/win/tclConfig.sh.in @@ -77,7 +77,7 @@ TCL_SHLIB_LD='@SHLIB_LD@' TCL_STLIB_LD='@STLIB_LD@' # Either '$LIBS' (if dependent libraries should be included when linking -# shared libraries) or an empty string. See Tcl's configure.in for more +# shared libraries) or an empty string. See Tcl's configure.ac for more # explanation. TCL_SHLIB_LD_LIBS='@SHLIB_LD_LIBS@' -- cgit v0.12 From 3cd08b4cddcfa292ba21ebbf490fb4b5189e41bb Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 8 Mar 2016 15:31:06 +0000 Subject: Eliminate exess spacings in remaining doc pages --- doc/CallDel.3 | 2 +- doc/CmdCmplt.3 | 2 +- doc/Concat.3 | 2 +- doc/CrtFileHdlr.3 | 2 +- doc/CrtInterp.3 | 2 +- doc/CrtTimerHdlr.3 | 2 +- doc/DetachPids.3 | 2 +- doc/DictObj.3 | 2 +- doc/DoWhenIdle.3 | 2 +- doc/Environment.3 | 2 +- doc/ExprLongObj.3 | 2 +- doc/FindExec.3 | 2 +- doc/GetCwd.3 | 2 +- doc/GetIndex.3 | 2 +- doc/GetInt.3 | 2 +- doc/GetOpnFl.3 | 2 +- doc/GetTime.3 | 2 +- doc/Init.3 | 2 +- doc/InitStubs.3 | 2 +- doc/Limit.3 | 2 +- doc/LinkVar.3 | 2 +- doc/Load.3 | 2 +- doc/Namespace.3 | 4 ++-- doc/OpenTcp.3 | 2 +- doc/ParseArgs.3 | 2 +- doc/Preserve.3 | 2 +- doc/PrintDbl.3 | 2 +- doc/RecEvalObj.3 | 2 +- doc/RecordEval.3 | 2 +- doc/SetErrno.3 | 2 +- doc/SetRecLmt.3 | 2 +- doc/Signal.3 | 2 +- doc/Sleep.3 | 2 +- doc/SplitList.3 | 2 +- doc/SplitPath.3 | 2 +- doc/StaticPkg.3 | 2 +- doc/StdChannels.3 | 2 +- doc/StrMatch.3 | 2 +- doc/SubstObj.3 | 2 +- doc/TCL_MEM_DEBUG.3 | 4 ++-- doc/TclZlib.3 | 2 +- doc/break.n | 2 +- doc/case.n | 2 +- doc/cd.n | 2 +- doc/close.n | 2 +- doc/concat.n | 2 +- doc/continue.n | 2 +- doc/coroutine.n | 2 +- doc/eof.n | 2 +- doc/eval.n | 2 +- doc/exit.n | 2 +- doc/fblocked.n | 2 +- doc/flush.n | 2 +- doc/foreach.n | 2 +- doc/gets.n | 2 +- doc/history.n | 2 +- doc/if.n | 2 +- doc/incr.n | 2 +- doc/info.n | 2 +- doc/interp.n | 2 +- doc/join.n | 2 +- doc/lappend.n | 2 +- doc/lassign.n | 2 +- doc/list.n | 2 +- doc/load.n | 2 +- doc/lrepeat.n | 2 +- doc/lreverse.n | 2 +- doc/namespace.n | 2 +- doc/next.n | 2 +- doc/packagens.n | 2 +- doc/pid.n | 2 +- doc/platform.n | 2 +- doc/platform_shell.n | 2 +- doc/prefix.n | 2 +- doc/puts.n | 2 +- doc/pwd.n | 2 +- doc/refchan.n | 2 +- doc/registry.n | 2 +- doc/rename.n | 2 +- doc/seek.n | 2 +- doc/source.n | 2 +- doc/split.n | 2 +- doc/switch.n | 2 +- doc/tailcall.n | 2 +- doc/tclsh.1 | 2 +- doc/tell.n | 2 +- doc/throw.n | 2 +- doc/time.n | 2 +- doc/tm.n | 2 +- 89 files changed, 91 insertions(+), 91 deletions(-) diff --git a/doc/CallDel.3 b/doc/CallDel.3 index 766621a..33b8afc 100644 --- a/doc/CallDel.3 +++ b/doc/CallDel.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_CallWhenDeleted 3 7.0 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/CmdCmplt.3 b/doc/CmdCmplt.3 index 25b372e..bb7532c 100644 --- a/doc/CmdCmplt.3 +++ b/doc/CmdCmplt.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_CommandComplete 3 "" Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/Concat.3 b/doc/Concat.3 index 58a0fb6..e853fc3 100644 --- a/doc/Concat.3 +++ b/doc/Concat.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_Concat 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/CrtFileHdlr.3 b/doc/CrtFileHdlr.3 index c1bc1fa..f1b8df7 100644 --- a/doc/CrtFileHdlr.3 +++ b/doc/CrtFileHdlr.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_CreateFileHandler 3 8.0 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/CrtInterp.3 b/doc/CrtInterp.3 index 679795e..1d49158 100644 --- a/doc/CrtInterp.3 +++ b/doc/CrtInterp.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_CreateInterp 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/CrtTimerHdlr.3 b/doc/CrtTimerHdlr.3 index f3957c7..c229a23 100644 --- a/doc/CrtTimerHdlr.3 +++ b/doc/CrtTimerHdlr.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_CreateTimerHandler 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/DetachPids.3 b/doc/DetachPids.3 index 39a51d3..26075c3 100644 --- a/doc/DetachPids.3 +++ b/doc/DetachPids.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_DetachPids 3 "" Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/DictObj.3 b/doc/DictObj.3 index 90ca9e3..2c111c4 100644 --- a/doc/DictObj.3 +++ b/doc/DictObj.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_DictObj 3 8.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/DoWhenIdle.3 b/doc/DoWhenIdle.3 index 3e28b4d..cfdbff9 100644 --- a/doc/DoWhenIdle.3 +++ b/doc/DoWhenIdle.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_DoWhenIdle 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/Environment.3 b/doc/Environment.3 index 85880b4..7a5e396 100644 --- a/doc/Environment.3 +++ b/doc/Environment.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_PutEnv 3 "7.5" Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/ExprLongObj.3 b/doc/ExprLongObj.3 index 35edb5f..837e0a8 100644 --- a/doc/ExprLongObj.3 +++ b/doc/ExprLongObj.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_ExprLongObj 3 8.0 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/FindExec.3 b/doc/FindExec.3 index b01315c..1fd57db 100644 --- a/doc/FindExec.3 +++ b/doc/FindExec.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_FindExecutable 3 8.1 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/GetCwd.3 b/doc/GetCwd.3 index 58abcde..f4f37a1 100644 --- a/doc/GetCwd.3 +++ b/doc/GetCwd.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_GetCwd 3 8.1 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/GetIndex.3 b/doc/GetIndex.3 index fc6f40b..17a31d4 100644 --- a/doc/GetIndex.3 +++ b/doc/GetIndex.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_GetIndexFromObj 3 8.1 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/GetInt.3 b/doc/GetInt.3 index 4e9d636..871f483 100644 --- a/doc/GetInt.3 +++ b/doc/GetInt.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_GetInt 3 "" Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/GetOpnFl.3 b/doc/GetOpnFl.3 index 86d1b94..a450b02 100644 --- a/doc/GetOpnFl.3 +++ b/doc/GetOpnFl.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_GetOpenFile 3 8.0 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/GetTime.3 b/doc/GetTime.3 index 6b885ee..9f96be5 100644 --- a/doc/GetTime.3 +++ b/doc/GetTime.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_GetTime 3 8.4 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/Init.3 b/doc/Init.3 index 33c27a3..0a6635e 100644 --- a/doc/Init.3 +++ b/doc/Init.3 @@ -1,7 +1,7 @@ '\" '\" Copyright (c) 1998-2000 by Scriptics Corporation. '\" All rights reserved. -'\" +'\" .TH Tcl_Init 3 8.0 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/InitStubs.3 b/doc/InitStubs.3 index 73c3437..fbb3f56 100644 --- a/doc/InitStubs.3 +++ b/doc/InitStubs.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_InitStubs 3 8.1 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/Limit.3 b/doc/Limit.3 index 20a2e02..5939a80 100644 --- a/doc/Limit.3 +++ b/doc/Limit.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_LimitCheck 3 8.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/LinkVar.3 b/doc/LinkVar.3 index c64720b..a77fe21 100644 --- a/doc/LinkVar.3 +++ b/doc/LinkVar.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_LinkVar 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/Load.3 b/doc/Load.3 index 0ffaf57..1d0d738 100644 --- a/doc/Load.3 +++ b/doc/Load.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Load 3 8.6 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/Namespace.3 b/doc/Namespace.3 index be89597..a037442 100644 --- a/doc/Namespace.3 +++ b/doc/Namespace.3 @@ -3,10 +3,10 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" '\" Note that some of these functions do not seem to belong, but they '\" were all introduced with the same TIP (#139) -'\" +'\" .TH Tcl_Namespace 3 8.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/OpenTcp.3 b/doc/OpenTcp.3 index 9fe2615..4a7dc1e 100644 --- a/doc/OpenTcp.3 +++ b/doc/OpenTcp.3 @@ -130,7 +130,7 @@ for the new channel, \fIhostName\fR points to a string containing the name of the client host making the connection, and \fIport\fR will contain the client's port number. The new channel -is opened for both input and output. +is opened for both input and output. If \fIproc\fR raises an error, the connection is closed automatically. \fIProc\fR has no return value, but if it wishes to reject the connection it can close \fIchannel\fR. diff --git a/doc/ParseArgs.3 b/doc/ParseArgs.3 index df0ad33..f278ee9 100644 --- a/doc/ParseArgs.3 +++ b/doc/ParseArgs.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_ParseArgsObjv 3 8.6 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/Preserve.3 b/doc/Preserve.3 index 970bded..c8f34a2 100644 --- a/doc/Preserve.3 +++ b/doc/Preserve.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_Preserve 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/PrintDbl.3 b/doc/PrintDbl.3 index 730794f..896b6eb 100644 --- a/doc/PrintDbl.3 +++ b/doc/PrintDbl.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_PrintDouble 3 8.0 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/RecEvalObj.3 b/doc/RecEvalObj.3 index 387cc44..1b0f292 100644 --- a/doc/RecEvalObj.3 +++ b/doc/RecEvalObj.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_RecordAndEvalObj 3 8.0 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/RecordEval.3 b/doc/RecordEval.3 index e1625ff..36ef6b9 100644 --- a/doc/RecordEval.3 +++ b/doc/RecordEval.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_RecordAndEval 3 7.4 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/SetErrno.3 b/doc/SetErrno.3 index 21648b1..c202e2e 100644 --- a/doc/SetErrno.3 +++ b/doc/SetErrno.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_SetErrno 3 8.3 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/SetRecLmt.3 b/doc/SetRecLmt.3 index 904d4ab..ec55794 100644 --- a/doc/SetRecLmt.3 +++ b/doc/SetRecLmt.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_SetRecursionLimit 3 7.0 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/Signal.3 b/doc/Signal.3 index 70b9d91..0a280f9 100644 --- a/doc/Signal.3 +++ b/doc/Signal.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_SignalId 3 8.3 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/Sleep.3 b/doc/Sleep.3 index 2d36697..656d72a 100644 --- a/doc/Sleep.3 +++ b/doc/Sleep.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_Sleep 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/SplitList.3 b/doc/SplitList.3 index 3439f2e..d19ca14 100644 --- a/doc/SplitList.3 +++ b/doc/SplitList.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_SplitList 3 8.0 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/SplitPath.3 b/doc/SplitPath.3 index 19cee05..c011194 100644 --- a/doc/SplitPath.3 +++ b/doc/SplitPath.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_SplitPath 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/StaticPkg.3 b/doc/StaticPkg.3 index 5700ea7..41e2d65 100644 --- a/doc/StaticPkg.3 +++ b/doc/StaticPkg.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_StaticPackage 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/StdChannels.3 b/doc/StdChannels.3 index 651ad7d..7cb75a0 100644 --- a/doc/StdChannels.3 +++ b/doc/StdChannels.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH "Standard Channels" 3 7.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/StrMatch.3 b/doc/StrMatch.3 index f9c2be3..d664067 100644 --- a/doc/StrMatch.3 +++ b/doc/StrMatch.3 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_StringMatch 3 8.5 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/SubstObj.3 b/doc/SubstObj.3 index f582c5a..a2b6214 100644 --- a/doc/SubstObj.3 +++ b/doc/SubstObj.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH Tcl_SubstObj 3 8.4 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/TCL_MEM_DEBUG.3 b/doc/TCL_MEM_DEBUG.3 index e3a6809..3a014d4 100644 --- a/doc/TCL_MEM_DEBUG.3 +++ b/doc/TCL_MEM_DEBUG.3 @@ -1,8 +1,8 @@ -'\" +'\" '\" Copyright (c) 1992-1999 Karl Lehenbauer and Mark Diekhans. '\" Copyright (c) 2000 by Scriptics Corporation. '\" All rights reserved. -'\" +'\" .TH TCL_MEM_DEBUG 3 8.1 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/TclZlib.3 b/doc/TclZlib.3 index c6a6417..4a5df89 100644 --- a/doc/TclZlib.3 +++ b/doc/TclZlib.3 @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH TclZlib 3 8.6 Tcl "Tcl Library Procedures" .so man.macros .BS diff --git a/doc/break.n b/doc/break.n index 3e4ce5f..78fd005 100644 --- a/doc/break.n +++ b/doc/break.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH break n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/case.n b/doc/case.n index 54d5bf4..c48d634 100644 --- a/doc/case.n +++ b/doc/case.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH case n 7.0 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/cd.n b/doc/cd.n index 67cdd17..dceb075 100644 --- a/doc/cd.n +++ b/doc/cd.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH cd n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/close.n b/doc/close.n index 63da75b..5daf3e2 100644 --- a/doc/close.n +++ b/doc/close.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH close n 7.5 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/concat.n b/doc/concat.n index 575b9df..9fe7908 100644 --- a/doc/concat.n +++ b/doc/concat.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH concat n 8.3 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/continue.n b/doc/continue.n index 17d16b4..92ff3b4 100644 --- a/doc/continue.n +++ b/doc/continue.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH continue n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/coroutine.n b/doc/coroutine.n index c99f8d3..52775ef 100644 --- a/doc/coroutine.n +++ b/doc/coroutine.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH coroutine n 8.6 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/eof.n b/doc/eof.n index 75f3c48..a150464 100644 --- a/doc/eof.n +++ b/doc/eof.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH eof n 7.5 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/eval.n b/doc/eval.n index 3ef5023..9fc2ae4 100644 --- a/doc/eval.n +++ b/doc/eval.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH eval n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/exit.n b/doc/exit.n index 9b4ad20..a005c08 100644 --- a/doc/exit.n +++ b/doc/exit.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH exit n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/fblocked.n b/doc/fblocked.n index 2841aee..93cfe87 100644 --- a/doc/fblocked.n +++ b/doc/fblocked.n @@ -1,4 +1,4 @@ -'\" +'\" '\" Copyright (c) 1996 Sun Microsystems, Inc. '\" '\" See the file "license.terms" for information on usage and redistribution diff --git a/doc/flush.n b/doc/flush.n index d266d91..6b98ab7 100644 --- a/doc/flush.n +++ b/doc/flush.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH flush n 7.5 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/foreach.n b/doc/foreach.n index 89a11f6..925ec1f 100644 --- a/doc/foreach.n +++ b/doc/foreach.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH foreach n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/gets.n b/doc/gets.n index 0150f29..57532c0 100644 --- a/doc/gets.n +++ b/doc/gets.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH gets n 7.5 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/history.n b/doc/history.n index e1f9781..0391948 100644 --- a/doc/history.n +++ b/doc/history.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH history n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/if.n b/doc/if.n index 776f811..ff2518d 100644 --- a/doc/if.n +++ b/doc/if.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH if n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/incr.n b/doc/incr.n index 9052c5a..b4be95c 100644 --- a/doc/incr.n +++ b/doc/incr.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH incr n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/info.n b/doc/info.n index 1ad908d..477e272 100644 --- a/doc/info.n +++ b/doc/info.n @@ -7,7 +7,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH info n 8.4 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/interp.n b/doc/interp.n index 92113a6..ac07fb7 100644 --- a/doc/interp.n +++ b/doc/interp.n @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH interp n 8.6 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/join.n b/doc/join.n index c8179bb..23a7697 100644 --- a/doc/join.n +++ b/doc/join.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH join n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/lappend.n b/doc/lappend.n index a324ca3..80d075a 100644 --- a/doc/lappend.n +++ b/doc/lappend.n @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH lappend n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/lassign.n b/doc/lassign.n index e250729..5620de6 100644 --- a/doc/lassign.n +++ b/doc/lassign.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH lassign n 8.5 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/list.n b/doc/list.n index c2797f3..a182fc8 100644 --- a/doc/list.n +++ b/doc/list.n @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH list n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/load.n b/doc/load.n index 2ab8f2e..b592bb3 100644 --- a/doc/load.n +++ b/doc/load.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH load n 7.5 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/lrepeat.n b/doc/lrepeat.n index 466339d..f92792e 100644 --- a/doc/lrepeat.n +++ b/doc/lrepeat.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH lrepeat n 8.5 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/lreverse.n b/doc/lreverse.n index 51a9e57..4c2f762 100644 --- a/doc/lreverse.n +++ b/doc/lreverse.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH lreverse n 8.5 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/namespace.n b/doc/namespace.n index 1f4e85f..b0b6e25 100644 --- a/doc/namespace.n +++ b/doc/namespace.n @@ -303,7 +303,7 @@ used for qualified namespace or variable names. Sets or returns the unknown command handler for the current namespace. The handler is invoked when a command called from within the namespace cannot be found in the current namespace, the namespace's path nor in -the global namespace. +the global namespace. The \fIscript\fR argument, if given, should be a well formed list representing a command name and optional arguments. When the handler is invoked, the full invocation line will be appended to the diff --git a/doc/next.n b/doc/next.n index 62782e5..db846be 100644 --- a/doc/next.n +++ b/doc/next.n @@ -138,7 +138,7 @@ before chaining from subclass, args = x 1 2 3 y in the superclass, args = a x 1 2 3 y b in the superclass, args = pureSynthesis after chaining from subclass -before chaining from subclass, args = +before chaining from subclass, args = in the superclass, args = a b in the superclass, args = pureSynthesis after chaining from subclass diff --git a/doc/packagens.n b/doc/packagens.n index 61e7eca..5bd2e67 100644 --- a/doc/packagens.n +++ b/doc/packagens.n @@ -1,7 +1,7 @@ '\" '\" Copyright (c) 1998-2000 by Scriptics Corporation. '\" All rights reserved. -'\" +'\" .TH pkg::create n 8.3 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/pid.n b/doc/pid.n index a4df2f3..6f8c399 100644 --- a/doc/pid.n +++ b/doc/pid.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH pid n 7.0 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/platform.n b/doc/platform.n index 6abc289..5380ff4 100644 --- a/doc/platform.n +++ b/doc/platform.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH "platform" n 1.0.4 platform "Tcl Bundled Packages" .so man.macros .BS diff --git a/doc/platform_shell.n b/doc/platform_shell.n index 64a2e46..330afa9 100644 --- a/doc/platform_shell.n +++ b/doc/platform_shell.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH "platform::shell" n 1.1.4 platform::shell "Tcl Bundled Packages" .so man.macros .BS diff --git a/doc/prefix.n b/doc/prefix.n index 344ade7..50aa2fb 100644 --- a/doc/prefix.n +++ b/doc/prefix.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH prefix n 8.6 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/puts.n b/doc/puts.n index 01ca122..f4e1040 100644 --- a/doc/puts.n +++ b/doc/puts.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH puts n 7.5 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/pwd.n b/doc/pwd.n index 31d378f..85dd390 100644 --- a/doc/pwd.n +++ b/doc/pwd.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH pwd n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/refchan.n b/doc/refchan.n index 2232d50..8737556 100644 --- a/doc/refchan.n +++ b/doc/refchan.n @@ -1,4 +1,4 @@ -'\" +'\" '\" Copyright (c) 2006 Andreas Kupries '\" '\" See the file "license.terms" for information on usage and redistribution diff --git a/doc/registry.n b/doc/registry.n index 001def9..ec5910c 100644 --- a/doc/registry.n +++ b/doc/registry.n @@ -152,7 +152,7 @@ nulls. .TP \fBsz\fR . -The registry value contains a null-terminated string. The data is +The registry value contains a null-terminated string. The data is represented in Tcl as a string. .TP \fBexpand_sz\fR diff --git a/doc/rename.n b/doc/rename.n index 744bf5a..f74db5f 100644 --- a/doc/rename.n +++ b/doc/rename.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH rename n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/seek.n b/doc/seek.n index 02c5341..3b206d1 100644 --- a/doc/seek.n +++ b/doc/seek.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH seek n 8.1 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/source.n b/doc/source.n index 67d4b6b..82fefa6 100644 --- a/doc/source.n +++ b/doc/source.n @@ -5,7 +5,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH source n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/split.n b/doc/split.n index f1c66d0..e977d7c 100644 --- a/doc/split.n +++ b/doc/split.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH split n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/switch.n b/doc/switch.n index 6e27f56..70eeb09 100644 --- a/doc/switch.n +++ b/doc/switch.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH switch n 8.5 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/tailcall.n b/doc/tailcall.n index 926c608..24eb902 100644 --- a/doc/tailcall.n +++ b/doc/tailcall.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH tailcall n 8.6 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/tclsh.1 b/doc/tclsh.1 index 6ed5eb6..0e59b4f 100644 --- a/doc/tclsh.1 +++ b/doc/tclsh.1 @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH tclsh 1 "" Tcl "Tcl Applications" .so man.macros .BS diff --git a/doc/tell.n b/doc/tell.n index e8bf3af..1da240d 100644 --- a/doc/tell.n +++ b/doc/tell.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH tell n 8.1 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/throw.n b/doc/throw.n index 0d1df78..0d096f4 100644 --- a/doc/throw.n +++ b/doc/throw.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH throw n 8.6 Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/time.n b/doc/time.n index 35b41c4..bea974f 100644 --- a/doc/time.n +++ b/doc/time.n @@ -4,7 +4,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH time n "" Tcl "Tcl Built-In Commands" .so man.macros .BS diff --git a/doc/tm.n b/doc/tm.n index 5602686..d5c3cc7 100644 --- a/doc/tm.n +++ b/doc/tm.n @@ -3,7 +3,7 @@ '\" '\" See the file "license.terms" for information on usage and redistribution '\" of this file, and for a DISCLAIMER OF ALL WARRANTIES. -'\" +'\" .TH tm n 8.5 Tcl "Tcl Built-In Commands" .so man.macros .BS -- cgit v0.12 From 56cafd677815347cec86687bfb1b0f7a7254b5ed Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 8 Mar 2016 15:52:23 +0000 Subject: [bbc304f61a] Avoid event handling when reflected channel has a watch change half-completed. (First half in 1 thread, second in another). When this is allowed to happen, false alarm errors from [chan postevent] are the result when timing is unlucky. --- generic/tclIORChan.c | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/generic/tclIORChan.c b/generic/tclIORChan.c index c9939d6..85cbec4 100644 --- a/generic/tclIORChan.c +++ b/generic/tclIORChan.c @@ -1515,8 +1515,6 @@ ReflectWatch( return; } - rcPtr->interest = mask; - /* * Are we in the correct thread? */ @@ -1539,6 +1537,7 @@ ReflectWatch( Tcl_Preserve(rcPtr); + rcPtr->interest = mask; maskObj = DecodeEventMask(mask); /* assert maskObj.refCount == 1 */ (void) InvokeTclMethod(rcPtr, METH_WATCH, maskObj, NULL, NULL); @@ -2887,6 +2886,7 @@ ForwardProc( /* assert maskObj.refCount == 1 */ Tcl_Preserve(rcPtr); + rcPtr->interest = paramPtr->watch.mask; (void) InvokeTclMethod(rcPtr, METH_WATCH, maskObj, NULL, NULL); Tcl_DecrRefCount(maskObj); Tcl_Release(rcPtr); -- cgit v0.12 From 53a12f1cf62f19f53ef964da17fc300de9e1ecdb Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 8 Mar 2016 18:06:06 +0000 Subject: [0b8c387cf7] Replace deprecated Tcl_VarEval() call with reworked callback system that uses Tcl_Obj scripts. --- generic/tclIOCmd.c | 45 +++++++++++++++++++++++++-------------------- 1 file changed, 25 insertions(+), 20 deletions(-) diff --git a/generic/tclIOCmd.c b/generic/tclIOCmd.c index 834f225..b7b7b66 100644 --- a/generic/tclIOCmd.c +++ b/generic/tclIOCmd.c @@ -16,7 +16,7 @@ */ typedef struct AcceptCallback { - char *script; /* Script to invoke. */ + Tcl_Obj *script; /* Script to invoke. */ Tcl_Interp *interp; /* Interpreter in which to run it. */ } AcceptCallback; @@ -37,8 +37,7 @@ static Tcl_ThreadDataKey dataKey; */ static void FinalizeIOCmdTSD(ClientData clientData); -static void AcceptCallbackProc(ClientData callbackData, - Tcl_Channel chan, char *address, int port); +static Tcl_TcpAcceptProc AcceptCallbackProc; static int ChanPendingObjCmd(ClientData unused, Tcl_Interp *interp, int objc, Tcl_Obj *const objv[]); @@ -1373,15 +1372,22 @@ AcceptCallbackProc( */ if (acceptCallbackPtr->interp != NULL) { - char portBuf[TCL_INTEGER_SPACE]; - char *script = acceptCallbackPtr->script; Tcl_Interp *interp = acceptCallbackPtr->interp; - int result; + Tcl_Obj *script, *objv[2]; + int result = TCL_OK; - Tcl_Preserve(script); - Tcl_Preserve(interp); + objv[0] = acceptCallbackPtr->script; + objv[1] = Tcl_NewListObj(3, NULL); + Tcl_ListObjAppendElement(NULL, objv[1], Tcl_NewStringObj( + Tcl_GetChannelName(chan), -1)); + Tcl_ListObjAppendElement(NULL, objv[1], Tcl_NewStringObj(address, -1)); + Tcl_ListObjAppendElement(NULL, objv[1], Tcl_NewIntObj(port)); + + script = Tcl_ConcatObj(2, objv); + Tcl_IncrRefCount(script); + Tcl_DecrRefCount(objv[1]); - TclFormatInt(portBuf, port); + Tcl_Preserve(interp); Tcl_RegisterChannel(interp, chan); /* @@ -1391,8 +1397,9 @@ AcceptCallbackProc( Tcl_RegisterChannel(NULL, chan); - result = Tcl_VarEval(interp, script, " ", Tcl_GetChannelName(chan), - " ", address, " ", portBuf, NULL); + result = Tcl_EvalObjEx(interp, script, TCL_EVAL_DIRECT); + Tcl_DecrRefCount(script); + if (result != TCL_OK) { Tcl_BackgroundException(interp, result); Tcl_UnregisterChannel(interp, chan); @@ -1406,7 +1413,6 @@ AcceptCallbackProc( Tcl_UnregisterChannel(NULL, chan); Tcl_Release(interp); - Tcl_Release(script); } else { /* * The interpreter has been deleted, so there is no useful way to use @@ -1450,7 +1456,7 @@ TcpServerCloseProc( UnregisterTcpServerInterpCleanupProc(acceptCallbackPtr->interp, acceptCallbackPtr); } - Tcl_EventuallyFree(acceptCallbackPtr->script, TCL_DYNAMIC); + Tcl_DecrRefCount(acceptCallbackPtr->script); ckfree(acceptCallbackPtr); } @@ -1485,7 +1491,8 @@ Tcl_SocketObjCmd( SKT_ASYNC, SKT_MYADDR, SKT_MYPORT, SKT_SERVER }; int optionIndex, a, server = 0, port, myport = 0, async = 0; - const char *host, *script = NULL, *myaddr = NULL; + const char *host, *myaddr = NULL; + Tcl_Obj *script = NULL; Tcl_Channel chan; if (TclpHasSockets(interp) != TCL_OK) { @@ -1548,7 +1555,7 @@ Tcl_SocketObjCmd( "no argument given for -server option", -1)); return TCL_ERROR; } - script = TclGetString(objv[a]); + script = objv[a]; break; default: Tcl_Panic("Tcl_SocketObjCmd: bad option index to SocketOptions"); @@ -1589,16 +1596,14 @@ Tcl_SocketObjCmd( if (server) { AcceptCallback *acceptCallbackPtr = ckalloc(sizeof(AcceptCallback)); - unsigned len = strlen(script) + 1; - char *copyScript = ckalloc(len); - memcpy(copyScript, script, len); - acceptCallbackPtr->script = copyScript; + Tcl_IncrRefCount(script); + acceptCallbackPtr->script = script; acceptCallbackPtr->interp = interp; chan = Tcl_OpenTcpServer(interp, port, host, AcceptCallbackProc, acceptCallbackPtr); if (chan == NULL) { - ckfree(copyScript); + Tcl_DecrRefCount(script); ckfree(acceptCallbackPtr); return TCL_ERROR; } -- cgit v0.12 From 61616431840c438a6934e3745b7b422f2a1d53c8 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 9 Mar 2016 15:59:07 +0000 Subject: Let Tcl 8.7 allow Tk 8.7 to be used by default --- generic/tclBasic.c | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/generic/tclBasic.c b/generic/tclBasic.c index e5d7406..3f5c113 100644 --- a/generic/tclBasic.c +++ b/generic/tclBasic.c @@ -580,7 +580,7 @@ Tcl_CreateInterp(void) iPtr->packageUnknown = NULL; /* TIP #268 */ - if (getenv("TCL_PKG_PREFER_LATEST") == NULL) { + if ((TCL_RELEASE_LEVEL == TCL_FINAL_RELEASE) && getenv("TCL_PKG_PREFER_LATEST") == NULL) { iPtr->packagePrefer = PKG_PREFER_STABLE; } else { iPtr->packagePrefer = PKG_PREFER_LATEST; -- cgit v0.12 From 13347d984e68e94063bee8fe1b5c8cc77ef5b250 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 10 Mar 2016 11:56:23 +0000 Subject: Eliminate exess spacings in many test-cases --- tests/README | 6 +- tests/apply.test | 2 +- tests/assemble.test | 66 +++---- tests/assemble1.bench | 19 +- tests/autoMkindex.test | 2 +- tests/basic.test | 22 +-- tests/chan.test | 4 +- tests/chanio.test | 48 ++--- tests/clock.test | 80 ++++---- tests/compile.test | 20 +- tests/coroutine.test | 8 +- tests/encoding.test | 10 +- tests/execute.test | 6 +- tests/expr-old.test | 8 +- tests/expr.test | 6 +- tests/fileSystem.test | 4 +- tests/history.test | 2 +- tests/httpd | 2 +- tests/httpold.test | 2 +- tests/info.test | 8 +- tests/init.test | 10 +- tests/interp.test | 52 ++--- tests/io.test | 74 +++---- tests/ioTrans.test | 2 +- tests/iogt.test | 2 +- tests/lindex.test | 4 +- tests/lmap.test | 6 +- tests/lrange.test | 2 +- tests/lrepeat.test | 4 +- tests/lsearch.test | 14 +- tests/lsetComp.test | 506 +++++++++++++++++++++++------------------------ tests/main.test | 2 +- tests/misc.test | 4 +- tests/msgcat.test | 48 ++--- tests/namespace.test | 32 +-- tests/nre.test | 6 +- tests/obj.test | 6 +- tests/oo.test | 8 +- tests/parse.test | 2 +- tests/parseExpr.test | 4 +- tests/pkgMkIndex.test | 2 +- tests/platform.test | 4 +- tests/proc.test | 6 +- tests/reg.test | 6 +- tests/regexp.test | 10 +- tests/regexpComp.test | 12 +- tests/set-old.test | 2 +- tests/set.test | 2 +- tests/split.test | 2 +- tests/stack.test | 2 +- tests/string.test | 6 +- tests/stringObj.test | 4 +- tests/subst.test | 14 +- tests/tailcall.test | 12 +- tests/tm.test | 2 +- tests/trace.test | 60 +++--- tests/unixForkEvent.test | 2 +- tests/unixNotfy.test | 4 +- tests/unknown.test | 2 +- tests/uplevel.test | 6 +- tests/upvar.test | 2 +- tests/util.test | 6 +- tests/var.test | 12 +- tests/winPipe.test | 4 +- 64 files changed, 648 insertions(+), 649 deletions(-) diff --git a/tests/README b/tests/README index ce2382e..e86100f 100644 --- a/tests/README +++ b/tests/README @@ -59,7 +59,7 @@ should correspond to the Tcl or C code file that they are testing. For example, the test file for the C file "tclCmdAH.c" is "cmdAH.test". Test files that contain black-box tests may not correspond to any Tcl or C code file so they should match the pattern -"*_bb.test". +"*_bb.test". Be sure your new test file can be run from any working directory. @@ -72,12 +72,12 @@ as well as an installation environment. If your test file contains tests that should not be run in one or more of those cases, please use the constraints mechanism to skip those tests. -4. Incompatibilities of package tcltest 2.1 with +4. Incompatibilities of package tcltest 2.1 with testing machinery of very old versions of Tcl: ------------------------------------------------ 1) Global variables such as VERBOSE, TESTS, and testConfig of the - old machinery correspond to the [configure -verbose], + old machinery correspond to the [configure -verbose], [configure -match], and [testConstraint] commands of tcltest 2.1, respectively. diff --git a/tests/apply.test b/tests/apply.test index ba19b81..597cd97 100644 --- a/tests/apply.test +++ b/tests/apply.test @@ -228,7 +228,7 @@ test apply-8.3 {args treatment} { apply [list {x args} $applyBody] 1 2 3 } {{x 1} {args {2 3}}} test apply-8.4 {default values} { - apply [list {{x 1} {y 2}} $applyBody] + apply [list {{x 1} {y 2}} $applyBody] } {{x 1} {y 2}} test apply-8.5 {default values} { apply [list {{x 1} {y 2}} $applyBody] 3 4 diff --git a/tests/assemble.test b/tests/assemble.test index b0487e6..5c226cd 100644 --- a/tests/assemble.test +++ b/tests/assemble.test @@ -301,12 +301,12 @@ test assemble-7.1 {add, wrong # args} { -result {wrong # args*} } test assemble-7.2 {add} { - -body { + -body { assemble { push 2 push 2 add - } + } } -result {4} } @@ -349,7 +349,7 @@ test assemble-7.5 {bitwise ops} { } test assemble-7.6 {div} { -body { - assemble {push 999999; push 7; div} + assemble {push 999999; push 7; div} } -result 142857 } @@ -360,7 +360,7 @@ test assemble-7.7 {dup} { } } -result 9 -} +} test assemble-7.8 {eq} { -body { list \ @@ -638,7 +638,7 @@ test assemble-7.24 {lsetList} { test assemble-7.25 {lshift} { -body { assemble {push 16; push 4; lshift} - } + } -result 256 } test assemble-7.26 {mod} { @@ -678,7 +678,7 @@ test assemble-7.30 {pop} { test assemble-7.31 {rshift} { -body { assemble {push 257; push 4; rshift} - } + } -result 16 } test assemble-7.32 {storeArrayStk} { @@ -1201,7 +1201,7 @@ test assemble-10.7 {expr - noncompilable} { # assemble-11 - ASSEM_LVT4 (exist, existArray, dictAppend, dictLappend, # nsupvar, variable, upvar) - + test assemble-11.1 {exist - wrong # args} { -body { assemble {exist} @@ -1310,7 +1310,7 @@ test assemble-11.10 {variable} { } # assemble-12 - ASSEM_LVT1 (incr and incrArray) - + test assemble-12.1 {incr - wrong # args} { -body { assemble {incr} @@ -1743,16 +1743,16 @@ test assemble-17.9 {jump - resolve a label multiple times} { set result {} assemble { jump common - + label zero - pop + pop incrImm case 1 pop push a append result pop jump common - + label one pop incrImm case 1 @@ -1761,7 +1761,7 @@ test assemble-17.9 {jump - resolve a label multiple times} { append result pop jump common - + label common load case dup @@ -1780,7 +1780,7 @@ test assemble-17.9 {jump - resolve a label multiple times} { push 3 eq jumpTrue three - + label two pop incrImm case 1 @@ -1789,7 +1789,7 @@ test assemble-17.9 {jump - resolve a label multiple times} { append result pop jump common - + label three pop incrImm case 1 @@ -1887,7 +1887,7 @@ test assemble-17.15 {multiple passes of code resizing} { append body {label b15; push b; concat 2; nop; nop; jump c} \n append body {label d} proc x {} [list assemble $body] - } + } -body { x } @@ -2080,7 +2080,7 @@ test assemble-20.5 {lsetFlat - negative operand count} { test assemble-20.6 {lsetFlat} { -body { assemble {push b; push a; lsetFlat 2} - } + } -result b } test assemble-20.7 {lsetFlat} { @@ -3066,12 +3066,12 @@ test assemble-40.1 {unbalanced stack} { [catch { assemble { push 3 - dup - mult + dup + mult push 4 - dup - mult - pop + dup + mult + pop expon } } result] $result $::errorInfo @@ -3170,7 +3170,7 @@ test assemble-50.1 {Ulam's 3n+1 problem, TAL implementation} { load n; # max dup; # max n jump start; # max n - + label loop; # max n over 1; # max n max over 1; # max in max n @@ -3180,29 +3180,29 @@ test assemble-50.1 {Ulam's 3n+1 problem, TAL implementation} { reverse 2; # n max pop; # n dup; # n n - + label skip; # max n dup; # max n n push 2; # max n n 2 mod; # max n n%2 jumpTrue odd; # max n - + push 2; # max n 2 div; # max n/2 -> max n jump start; # max n - + label odd; # max n push 3; # max n 3 mult; # max 3*n push 1; # max 3*n 1 add; # max 3*n+1 - + label start; # max n dup; # max n n push 1; # max n n 1 neq; # max n n>1 jumpTrue loop; # max n - + pop; # max } } @@ -3232,7 +3232,7 @@ test assemble-51.3 {memory leak testing} memory { load n; # max dup; # max n jump start; # max n - + label loop; # max n over 1; # max n max over 1; # max in max n @@ -3242,29 +3242,29 @@ test assemble-51.3 {memory leak testing} memory { reverse 2; # n max pop; # n dup; # n n - + label skip; # max n dup; # max n n push 2; # max n n 2 mod; # max n n%2 jumpTrue odd; # max n - + push 2; # max n 2 div; # max n/2 -> max n jump start; # max n - + label odd; # max n push 3; # max n 3 mult; # max 3*n push 1; # max 3*n 1 add; # max 3*n+1 - + label start; # max n dup; # max n n push 1; # max n n 1 neq; # max n n>1 jumpTrue loop; # max n - + pop; # max } }} 1 diff --git a/tests/assemble1.bench b/tests/assemble1.bench index 18fd3a9..e294108 100644 --- a/tests/assemble1.bench +++ b/tests/assemble1.bench @@ -20,7 +20,7 @@ proc ulam2 {n} { load n; # max dup; # max n jump start; # max n - + label loop; # max n over 1; # max n max over 1; # max in max n @@ -30,29 +30,29 @@ proc ulam2 {n} { reverse 2; # n max pop; # n dup; # n n - + label skip; # max n dup; # max n n push 2; # max n n 2 mod; # max n n%2 jumpTrue odd; # max n - + push 2; # max n 2 div; # max n/2 -> max n jump start; # max n - + label odd; # max n push 3; # max n 3 mult; # max 3*n push 1; # max 3*n 1 add; # max 3*n+1 - + label start; # max n dup; # max n n push 1; # max n n 1 neq; # max n n>1 jumpTrue loop; # max n - + pop; # max } } @@ -60,12 +60,12 @@ set tcl_traceCompile 2; ulam2 1; set tcl_traceCompile 0 proc test1 {n} { for {set i 1} {$i <= $n} {incr i} { - ulam1 $i + ulam1 $i } } proc test2 {n} { for {set i 1} {$i <= $n} {incr i} { - ulam2 $i + ulam2 $i } } @@ -75,11 +75,10 @@ for {set j 0} {$j < 10} {incr j} { test1 30000 set after [clock microseconds] puts "compiled: [expr {1e-6 * ($after - $before)}]" - + test2 1 set before [clock microseconds] test2 30000 set after [clock microseconds] puts "assembled: [expr {1e-6 * ($after - $before)}]" } - \ No newline at end of file diff --git a/tests/autoMkindex.test b/tests/autoMkindex.test index 4721553..b42d50d 100644 --- a/tests/autoMkindex.test +++ b/tests/autoMkindex.test @@ -180,7 +180,7 @@ test autoMkindex-3.1 {slaveHook} -setup { } -cleanup { # Reset initCommands to avoid trashing other tests AutoMkindexTestReset -} -result 1 +} -result 1 # The auto_mkindex_parser::command is used to register commands that create # new commands. test autoMkindex-3.2 {auto_mkindex_parser::command} -setup { diff --git a/tests/basic.test b/tests/basic.test index 1a0037c..bff9a95 100644 --- a/tests/basic.test +++ b/tests/basic.test @@ -241,7 +241,7 @@ test basic-18.1 {TclRenameCommand, name of existing cmd can have namespace quali } list [test_ns_basic::p] \ [rename test_ns_basic::p test_ns_basic::q] \ - [test_ns_basic::q] + [test_ns_basic::q] } {{p in ::test_ns_basic} {} {p in ::test_ns_basic}} test basic-18.2 {TclRenameCommand, existing cmd must be found} { catch {namespace delete {*}[namespace children :: test_ns_*]} @@ -454,11 +454,11 @@ test basic-26.2 {Tcl_EvalObjEx, pure-list branch: preserve "objv"} -body { # a - the pure-list internal rep is destroyed by shimmering # b - the command returns an error # As the error code in Tcl_EvalObjv accesses the list elements, this will - # cause a segfault if [Bug 1119369] has not been fixed. + # cause a segfault if [Bug 1119369] has not been fixed. # NOTE: a MEM_DEBUG build may be necessary to guarantee the segfault. # - set SRC [list foo 1] ;# pure-list command + set SRC [list foo 1] ;# pure-list command proc foo str { # Shimmer pure-list to cmdName, cleanup and error proc $::SRC {} {}; $::SRC @@ -476,11 +476,11 @@ test basic-26.3 {Tcl_EvalObjEx, pure-list branch: preserve "objv"} -body { # Follow the pure-list branch in a manner that # a - the pure-list internal rep is destroyed by shimmering # b - the command accesses its command line - # This will cause a segfault if [Bug 1119369] has not been fixed. + # This will cause a segfault if [Bug 1119369] has not been fixed. # NOTE: a MEM_DEBUG build may be necessary to guarantee the segfault. # - set SRC [list foo 1] ;# pure-list command + set SRC [list foo 1] ;# pure-list command proc foo str { # Shimmer pure-list to cmdName, cleanup and error proc $::SRC {} {}; $::SRC @@ -592,7 +592,7 @@ test basic-46.2 {Tcl_AllowExceptions: exception return not allowed} -setup { invoked "break" outside of a loop while executing "break" - (file "*BREAKtest" line 3)} + (file "*BREAKtest" line 3)} test basic-46.3 {Tcl_AllowExceptions: exception return not allowed} -setup { set fName [makeFile { @@ -609,7 +609,7 @@ test basic-46.3 {Tcl_AllowExceptions: exception return not allowed} -setup { } -returnCodes error -match glob -result {invoked "break" outside of a loop while executing "break" - (file "*BREAKtest" line 4)} + (file "*BREAKtest" line 4)} test basic-46.4 {Tcl_AllowExceptions: exception return not allowed} -setup { set fName [makeFile { @@ -737,7 +737,7 @@ test basic-48.1.$noComp {expansion: parsing} $constraints { # Another comment list 1 2\ 3 {*}$::l1 - + # Comment again } } {1 2 3 a {b b} c d} @@ -810,7 +810,7 @@ test basic-48.13.$noComp {expansion: odd usage} $constraints { test basic-48.14.$noComp {expansion: hash command} -setup { catch {rename \# ""} set cmd "#" - } -constraints $constraints -body { + } -constraints $constraints -body { run { {*}$cmd apa bepa } } -cleanup { unset cmd @@ -870,7 +870,7 @@ test basic-48.16.$noComp {expansion: testing for leaks} -setup { stress set tmp $end set end [getbytes] - } + } set leak [expr {$end - $tmp}] } -cleanup { unset end i tmp @@ -881,7 +881,7 @@ test basic-48.16.$noComp {expansion: testing for leaks} -setup { test basic-48.17.$noComp {expansion: object safety} -setup { set old_precision $::tcl_precision set ::tcl_precision 4 - } -constraints $constraints -body { + } -constraints $constraints -body { set third [expr {1.0/3.0}] set l [list $third $third] set x [run {list $third {*}$l $third}] diff --git a/tests/chan.test b/tests/chan.test index d8390e2..6808453 100644 --- a/tests/chan.test +++ b/tests/chan.test @@ -135,7 +135,7 @@ test chan-16.4 {chan command: pending subcommand} -body { chan pending {input output} stdout } -returnCodes error -result "bad mode \"input output\": must be input or output" test chan-16.5 {chan command: pending input subcommand} -body { - chan pending input stdout + chan pending input stdout } -result -1 test chan-16.6 {chan command: pending input subcommand} -body { chan pending input stdin @@ -194,7 +194,7 @@ test chan-16.9 {chan command: pending input subcommand} -setup { set ::chan-16.9-data [list] set ::chan-16.9-done 0 } -body { - after idle chan-16.9-client + after idle chan-16.9-client vwait ::chan-16.9-done set ::chan-16.9-data } -result {-1 0 0 1 36 -1 0 0 1 72 -1 0 0 1 108 -1 0 0 1 144 ABC 890} -cleanup { diff --git a/tests/chanio.test b/tests/chanio.test index 2738fc6..3017e81 100644 --- a/tests/chanio.test +++ b/tests/chanio.test @@ -37,7 +37,7 @@ namespace eval ::tcl::test::io { ::tcltest::loadTestedCommands catch [list package require -exact Tcltest [info patchlevel]] - + testConstraint testchannel [llength [info commands testchannel]] testConstraint exec [llength [info commands exec]] testConstraint openpipe 1 @@ -130,10 +130,10 @@ test chan-io-1.8 {Tcl_WriteChars: WriteChars} { # Executing this test without the fix for the referenced bug applied to # tcl will cause tcl, more specifically WriteChars, to go into an infinite # loop. - set f [open $path(test2) w] - chan configure $f -encoding iso2022-jp - chan puts -nonewline $f [format %s%c [string repeat " " 4] 12399] - chan close $f + set f [open $path(test2) w] + chan configure $f -encoding iso2022-jp + chan puts -nonewline $f [format %s%c [string repeat " " 4] 12399] + chan close $f contents $path(test2) } " \x1b\$B\$O\x1b(B" test chan-io-1.9 {Tcl_WriteChars: WriteChars} { @@ -248,7 +248,7 @@ test chan-io-3.3 {WriteChars: compatibility with WriteBytes: flush on line} -bod test chan-io-3.4 {WriteChars: loop over stage buffer} { # stage buffer maps to more than can be queued at once. set f [open $path(test1) w] - chan configure $f -encoding jis0208 -buffersize 16 + chan configure $f -encoding jis0208 -buffersize 16 chan puts -nonewline $f "\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\" set x [list [contents $path(test1)]] chan close $f @@ -259,7 +259,7 @@ test chan-io-3.5 {WriteChars: saved != 0} { # be moved to beginning of next channel buffer to preserve requested # buffersize. set f [open $path(test1) w] - chan configure $f -encoding jis0208 -buffersize 17 + chan configure $f -encoding jis0208 -buffersize 17 chan puts -nonewline $f "\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\" set x [list [contents $path(test1)]] chan close $f @@ -288,7 +288,7 @@ test chan-io-3.7 {WriteChars: (bufPtr->nextAdded > bufPtr->length)} { # on flush. The truncated bytes are moved to the beginning of the next # channel buffer. set f [open $path(test1) w] - chan configure $f -encoding jis0208 -buffersize 17 + chan configure $f -encoding jis0208 -buffersize 17 chan puts -nonewline $f "\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\" set x [list [contents $path(test1)]] chan close $f @@ -353,7 +353,7 @@ test chan-io-4.5 {TranslateOutputEOL: crlf} { test chan-io-5.1 {CheckFlush: not full} { set f [open $path(test1) w] - chan configure $f + chan configure $f chan puts -nonewline $f "12345678901234567890" set x [list [contents $path(test1)]] chan close $f @@ -441,7 +441,7 @@ set a "bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb" append a $a append a $a test chan-io-6.6 {Tcl_GetsObj: loop test} -body { - # if (dst >= dstEnd) + # if (dst >= dstEnd) set f [open $path(test1) w] chan puts $f $a chan puts $f hi @@ -750,7 +750,7 @@ test chan-io-6.33 {Tcl_GetsObj: crlf mode: buffer exhausted, at eof} -body { chan close $f } -result [list 16 "123456789012345\r" 1] test chan-io-6.34 {Tcl_GetsObj: crlf mode: buffer exhausted, not followed by \n} -body { - # not (*eol == '\n') + # not (*eol == '\n') set f [open $path(test1) w] chan configure $f -translation lf chan puts -nonewline $f "123456789012345\rabcd\r\nefg" @@ -860,7 +860,7 @@ test chan-io-6.43 {Tcl_GetsObj: input saw cr} -setup { chan configure $f -buffersize 16 lappend x [chan gets $f] chan configure $f -blocking 0 - lappend x [chan gets $f line] $line [testchannel queuedcr $f] + lappend x [chan gets $f line] $line [testchannel queuedcr $f] chan configure $f -blocking 1 chan puts -nonewline $f "\nabcd\refg\x1a" lappend x [chan gets $f line] $line [testchannel queuedcr $f] @@ -871,14 +871,14 @@ test chan-io-6.43 {Tcl_GetsObj: input saw cr} -setup { test chan-io-6.44 {Tcl_GetsObj: input saw cr, not followed by cr} -setup { set x "" } -constraints {stdio testchannel openpipe fileevent} -body { - # not (*eol == '\n') + # not (*eol == '\n') set f [openpipe w+ $path(cat)] chan configure $f -translation {auto lf} -buffering none chan puts -nonewline $f "bbbbbbbbbbbbbbb\n123456789abcdef\r" chan configure $f -buffersize 16 lappend x [chan gets $f] chan configure $f -blocking 0 - lappend x [chan gets $f line] $line [testchannel queuedcr $f] + lappend x [chan gets $f line] $line [testchannel queuedcr $f] chan configure $f -blocking 1 chan puts -nonewline $f "abcd\refg\x1a" lappend x [chan gets $f line] $line [testchannel queuedcr $f] @@ -957,7 +957,7 @@ test chan-io-6.49 {Tcl_GetsObj: auto mode: \r followed by \n} -constraints {test chan close $f } -result {123456 0 8 78901} test chan-io-6.50 {Tcl_GetsObj: auto mode: \r not followed by \n} -constraints {testchannel} -body { - # not (*eol == '\n') + # not (*eol == '\n') set f [open $path(test1) w] chan configure $f -translation lf chan puts -nonewline $f "123456\r78901" @@ -1183,7 +1183,7 @@ test chan-io-8.5 {PeekAhead: don't peek if last read was short} -constraints {st chan close $f } -result {15 abcdefghijklmno 1} test chan-io-8.6 {PeekAhead: change to non-blocking mode} -constraints {stdio testchannel openpipe fileevent} -body { - # ((chanPtr->flags & CHANNEL_NONBLOCKING) == 0) + # ((chanPtr->flags & CHANNEL_NONBLOCKING) == 0) set f [openpipe w+ $path(cat)] chan configure $f -translation {auto binary} -buffersize 16 chan puts -nonewline $f "abcdefghijklmno\r" @@ -1423,7 +1423,7 @@ test chan-io-13.2 {TranslateInputEOL: crlf mode} -body { chan close $f } -result "abcd\ndef\n" test chan-io-13.3 {TranslateInputEOL: crlf mode: naked cr} -body { - # (src >= srcMax) + # (src >= srcMax) set f [open $path(test1) w] chan configure $f -translation lf chan puts -nonewline $f "abcd\r\ndef\r" @@ -1435,7 +1435,7 @@ test chan-io-13.3 {TranslateInputEOL: crlf mode: naked cr} -body { chan close $f } -result "abcd\ndef\r" test chan-io-13.4 {TranslateInputEOL: crlf mode: cr followed by not \n} -body { - # (src >= srcMax) + # (src >= srcMax) set f [open $path(test1) w] chan configure $f -translation lf chan puts -nonewline $f "abcd\r\ndef\rfgh" @@ -1447,7 +1447,7 @@ test chan-io-13.4 {TranslateInputEOL: crlf mode: cr followed by not \n} -body { chan close $f } -result "abcd\ndef\rfgh" test chan-io-13.5 {TranslateInputEOL: crlf mode: naked lf} -body { - # (src >= srcMax) + # (src >= srcMax) set f [open $path(test1) w] chan configure $f -translation lf chan puts -nonewline $f "abcd\r\ndef\nfgh" @@ -1515,7 +1515,7 @@ test chan-io-13.9 {TranslateInputEOL: auto mode: \r followed by not \n} -body { chan close $f } -result "abcd\ndef" test chan-io-13.10 {TranslateInputEOL: auto mode: \n} -body { - # not (*src == '\r') + # not (*src == '\r') set f [open $path(test1) w] chan configure $f -translation lf chan puts -nonewline $f "abcd\ndef" @@ -3901,7 +3901,7 @@ test chan-io-31.31 {Tcl_Write crlf on block boundary, Tcl_Gets crlf} -setup { } chan close $f set f [open $path(test1) r] - chan configure $f -translation crlf + chan configure $f -translation crlf while {[chan gets $f line] >= 0} { append c $line\n } @@ -5155,7 +5155,7 @@ test chan-io-39.14 {Tcl_SetChannelOption: -encoding, binary & utf-8} -setup { file delete $path(test1) } -body { set f [open $path(test1) w] - chan configure $f -encoding {} + chan configure $f -encoding {} chan puts -nonewline $f \xe7\x89\xa6 chan close $f set f [open $path(test1) r] @@ -5300,7 +5300,7 @@ test chan-io-39.23 {Tcl_GetChannelOption, server socket is not readable or\ test chan-io-39.24 {Tcl_SetChannelOption, server socket is not readable or\ writable so we can't change -eofchar or -translation} -setup { set l [list] -} -body { +} -body { set sock [socket -server [namespace code accept] -myaddr 127.0.0.1 0] chan configure $sock -eofchar D -translation lf lappend l [chan configure $sock -eofchar] \ @@ -5453,7 +5453,7 @@ test chan-io-40.13 {POSIX open access modes: WRONLY} -body { set x [list [catch {chan gets $f} msg] $msg] chan close $f lappend x [viewFile test3] -} -match glob -result {1 {channel "*" wasn't opened for reading} abzzy} +} -match glob -result {1 {channel "*" wasn't opened for reading} abzzy} test chan-io-40.14 {POSIX open access modes: RDWR} -match regexp -body { file delete $path(test3) open $path(test3) RDWR diff --git a/tests/clock.test b/tests/clock.test index 615f3a8..b2ccdf2 100644 --- a/tests/clock.test +++ b/tests/clock.test @@ -35,9 +35,9 @@ testConstraint y2038 \ # TEST PLAN # clock-1: -# [clock format] - tests of bad and empty arguments +# [clock format] - tests of bad and empty arguments # -# clock-2 +# clock-2 # formatting of year, month and day of month # # clock-3 @@ -195,7 +195,7 @@ namespace eval ::tcl::clock { l li lii liii liv lv lvi lvii lviii lix lx lxi lxii lxiii lxiv lxv lxvi lxvii lxviii lxix lxx lxxi lxxii lxxiii lxxiv lxxv lxxvi lxxvii lxxviii lxxix - lxxx lxxxi lxxxii lxxxiii lxxxiv lxxxv lxxxvi lxxxvii lxxxviii + lxxx lxxxi lxxxii lxxxiii lxxxiv lxxxv lxxxvi lxxxvii lxxxviii lxxxix xc xci xcii xciii xciv xcv xcvi xcvii xcviii xcix c @@ -271,7 +271,7 @@ test clock-1.3 "clock format - empty val" { test clock-1.4 "clock format - bad flag" {*}{ -body { list [catch {clock format 0 -oops badflag} msg] $msg $::errorCode - } + } -match glob -result {1 {bad option "-oops": must be -format, -gmt, -locale, or -timezone} {CLOCK badOption -oops}} } @@ -35221,7 +35221,7 @@ test clock-30.25 {clock add seconds at DST conversion} { test clock-31.1 {system locale} \ -constraints win \ - -setup { + -setup { namespace eval ::tcl::clock { namespace import -force ::testClock::registry } @@ -35244,7 +35244,7 @@ test clock-31.1 {system locale} \ test clock-31.2 {system locale} \ -constraints win \ - -setup { + -setup { namespace eval ::tcl::clock { namespace import -force ::testClock::registry } @@ -35267,7 +35267,7 @@ test clock-31.2 {system locale} \ test clock-31.3 {system locale} \ -constraints win \ - -setup { + -setup { namespace eval ::tcl::clock { namespace import -force ::testClock::registry } @@ -35290,7 +35290,7 @@ test clock-31.3 {system locale} \ test clock-31.4 {system locale} \ -constraints win \ - -setup { + -setup { namespace eval ::tcl::clock { namespace import -force ::testClock::registry } @@ -35327,7 +35327,7 @@ test clock-31.4 {system locale} \ test clock-31.5 {system locale} \ -constraints win \ - -setup { + -setup { namespace eval ::tcl::clock { namespace import -force ::testClock::registry } @@ -35364,7 +35364,7 @@ test clock-31.5 {system locale} \ test clock-31.6 {system locale} \ -constraints win \ - -setup { + -setup { namespace eval ::tcl::clock { namespace import -force ::testClock::registry } @@ -35434,7 +35434,7 @@ test clock-32.1 {scan/format across the Gregorian change} { } set problems } {} - + # Legacy tests # clock clicks @@ -35468,7 +35468,7 @@ test clock-33.5 {clock clicks tests, millisecond timing test} { # 60 msecs seems to be the max time slice under Windows 95/98 expr { ($end > $start) && (($end - $start) <= 60) ? - "ok" : + "ok" : "test should have taken 0-60 ms, actually took [expr $end - $start]"} } {ok} test clock-33.5a {clock tests, millisecond timing test} { @@ -35480,7 +35480,7 @@ test clock-33.5a {clock tests, millisecond timing test} { # 60 msecs seems to be the max time slice under Windows 95/98 expr { ($end > $start) && (($end - $start) <= 60) ? - "ok" : + "ok" : "test should have taken 0-60 ms, actually took [expr $end - $start]"} } {ok} test clock-33.6 {clock clicks, milli with too much abbreviation} { @@ -35804,31 +35804,31 @@ test clock-34.47 {ago with multiple relative units} { } 180000 test clock-34.48 {more than one ToD} {*}{ - -body {clock scan {10:00 11:00}} + -body {clock scan {10:00 11:00}} -returnCodes error -result {unable to convert date-time string "10:00 11:00": more than one time of day in string} } test clock-34.49 {more than one date} {*}{ - -body {clock scan {1/1/2001 2/2/2002}} + -body {clock scan {1/1/2001 2/2/2002}} -returnCodes error -result {unable to convert date-time string "1/1/2001 2/2/2002": more than one date in string} } test clock-34.50 {more than one time zone} {*}{ - -body {clock scan {10:00 EST CST}} + -body {clock scan {10:00 EST CST}} -returnCodes error -result {unable to convert date-time string "10:00 EST CST": more than one time zone in string} } test clock-34.51 {more than one weekday} {*}{ - -body {clock scan {Monday Tuesday}} + -body {clock scan {Monday Tuesday}} -returnCodes error -result {unable to convert date-time string "Monday Tuesday": more than one weekday in string} } test clock-34.52 {more than one ordinal month} {*}{ - -body {clock scan {next January next March}} + -body {clock scan {next January next March}} -returnCodes error -result {unable to convert date-time string "next January next March": more than one ordinal month in string} } @@ -35924,7 +35924,7 @@ test clock-38.2 {make sure TZ is not cached after unset} \ } } \ -result 1 - + test clock-39.1 {regression - synonym timezones} { clock format 0 -format {%H:%M:%S} -timezone :US/Eastern @@ -35996,7 +35996,7 @@ test clock-44.1 {regression test - time zone name containing hyphen } \ } } \ -result {12:34:56-0500} - + test clock-45.1 {regression test - time zone containing only two digits} \ -body { clock scan 1985-04-12T10:15:30+04 -format %Y-%m-%dT%H:%M:%S%Z @@ -36041,7 +36041,7 @@ test clock-48.1 {Bug 1185933: 'i' destroyed by clock init} -setup { test clock-49.1 {regression test - localtime with negative arg (Bug 1237907)} \ -body { - list [catch { + list [catch { clock format -86400 -timezone :localtime -format %Y } result] $result } \ @@ -36280,7 +36280,7 @@ test clock-56.1 {use of zoneinfo, version 1} {*}{ } -result {2004-01-01 00:00:00 MST} } - + test clock-56.2 {use of zoneinfo, version 2} {*}{ -setup { clock format [clock seconds] @@ -36330,7 +36330,7 @@ test clock-56.2 {use of zoneinfo, version 2} {*}{ removeFile PhoenixTwo $tzdir2 removeDirectory Test $tzdir removeDirectory zoneinfo - } + } -body { clock format 1072940400 -timezone :Test/PhoenixTwo \ -format {%Y-%m-%d %H:%M:%S %Z} @@ -36540,7 +36540,7 @@ test clock-56.3 {use of zoneinfo, version 2, Y2038 compliance} {*}{ removeFile TijuanaTwo $tzdir2 removeDirectory Test $tzdir removeDirectory zoneinfo - } + } -body { clock format 2224738800 -timezone :Test/TijuanaTwo \ -format {%Y-%m-%d %H:%M:%S %Z} @@ -36692,7 +36692,7 @@ test clock-56.4 {Bug 3470928} {*}{ removeFile Windhoek $tzdir2 removeDirectory Test $tzdir removeDirectory zoneinfo - } + } -result {Sun Jan 08 22:30:06 WAST 2012} } @@ -36703,7 +36703,7 @@ test clock-57.1 {clock scan - abbreviated options} { test clock-58.1 {clock l10n - Japanese localisation} {*}{ -setup { proc backslashify { string } { - + set retval {} foreach char [split $string {}] { scan $char %c ccode @@ -36809,52 +36809,52 @@ test clock-59.1 {military time zones} { test clock-60.1 {case insensitive weekday names} { clock scan "2000-W01 monday" -gmt true -format "%G-W%V %a" -} [clock scan "2000-W01-1" -gmt true -format "%G-W%V-%u"] +} [clock scan "2000-W01-1" -gmt true -format "%G-W%V-%u"] test clock-60.2 {case insensitive weekday names} { clock scan "2000-W01 Monday" -gmt true -format "%G-W%V %a" -} [clock scan "2000-W01-1" -gmt true -format "%G-W%V-%u"] +} [clock scan "2000-W01-1" -gmt true -format "%G-W%V-%u"] test clock-60.3 {case insensitive weekday names} { clock scan "2000-W01 MONDAY" -gmt true -format "%G-W%V %a" -} [clock scan "2000-W01-1" -gmt true -format "%G-W%V-%u"] +} [clock scan "2000-W01-1" -gmt true -format "%G-W%V-%u"] test clock-60.4 {case insensitive weekday names} { clock scan "2000-W01 friday" -gmt true -format "%G-W%V %a" -} [clock scan "2000-W01-5" -gmt true -format "%G-W%V-%u"] +} [clock scan "2000-W01-5" -gmt true -format "%G-W%V-%u"] test clock-60.5 {case insensitive weekday names} { clock scan "2000-W01 Friday" -gmt true -format "%G-W%V %a" -} [clock scan "2000-W01-5" -gmt true -format "%G-W%V-%u"] +} [clock scan "2000-W01-5" -gmt true -format "%G-W%V-%u"] test clock-60.6 {case insensitive weekday names} { clock scan "2000-W01 FRIDAY" -gmt true -format "%G-W%V %a" -} [clock scan "2000-W01-5" -gmt true -format "%G-W%V-%u"] +} [clock scan "2000-W01-5" -gmt true -format "%G-W%V-%u"] test clock-60.7 {case insensitive month names} { clock scan "1 january 2000" -gmt true -format "%d %b %Y" -} [clock scan "2000-01-01" -gmt true -format "%Y-%m-%d"] +} [clock scan "2000-01-01" -gmt true -format "%Y-%m-%d"] test clock-60.8 {case insensitive month names} { clock scan "1 January 2000" -gmt true -format "%d %b %Y" -} [clock scan "2000-01-01" -gmt true -format "%Y-%m-%d"] +} [clock scan "2000-01-01" -gmt true -format "%Y-%m-%d"] test clock-60.9 {case insensitive month names} { clock scan "1 JANUARY 2000" -gmt true -format "%d %b %Y" -} [clock scan "2000-01-01" -gmt true -format "%Y-%m-%d"] +} [clock scan "2000-01-01" -gmt true -format "%Y-%m-%d"] test clock-60.10 {case insensitive month names} { clock scan "1 december 2000" -gmt true -format "%d %b %Y" -} [clock scan "2000-12-01" -gmt true -format "%Y-%m-%d"] +} [clock scan "2000-12-01" -gmt true -format "%Y-%m-%d"] test clock-60.11 {case insensitive month names} { clock scan "1 December 2000" -gmt true -format "%d %b %Y" -} [clock scan "2000-12-01" -gmt true -format "%Y-%m-%d"] +} [clock scan "2000-12-01" -gmt true -format "%Y-%m-%d"] test clock-60.12 {case insensitive month names} { clock scan "1 DECEMBER 2000" -gmt true -format "%d %b %Y" -} [clock scan "2000-12-01" -gmt true -format "%Y-%m-%d"] +} [clock scan "2000-12-01" -gmt true -format "%Y-%m-%d"] test clock-61.1 {overflow of a wide integer on output} {*}{ -body { clock format 0x8000000000000000 -format %s -gmt true - } + } -result {integer value too large to represent} -returnCodes error } test clock-61.2 {overflow of a wide integer on output} {*}{ -body { clock format -0x8000000000000001 -format %s -gmt true - } + } -result {integer value too large to represent} -returnCodes error } diff --git a/tests/compile.test b/tests/compile.test index 46e678a..6ef697c 100644 --- a/tests/compile.test +++ b/tests/compile.test @@ -122,7 +122,7 @@ test compile-3.4 {TclCompileCatchCmd: bcc'ed [return] is caught} { proc foo {} { set fail [catch { return 1 - }] ; # {} + }] ; # {} return 2 } foo @@ -132,8 +132,8 @@ test compile-3.5 {TclCompileCatchCmd: recover from error, [Bug 705406]} { catch { if {[a]} { if b {} - } - } + } + } } list [catch foo msg] $msg } {0 1} @@ -333,13 +333,13 @@ test compile-11.9 {Tcl_Append*: ensure Tcl_ResetResult is used properly} -body { list [catch {p} msg] $msg } -returnCodes error -result {unmatched open brace in list} -# +# # Special section for tests of tclLiteral.c # The following tests check for incorrect memory handling in # TclReleaseLiteral. They are only effective when tcl is compiled with # TCL_MEM_DEBUG # -# Special test for leak on interp delete [Bug 467523]. +# Special test for leak on interp delete [Bug 467523]. test compile-12.1 {testing literal leak on interp delete} -setup { proc getbytes {} { set lines [split [memory info] "\n"] @@ -348,10 +348,10 @@ test compile-12.1 {testing literal leak on interp delete} -setup { } -constraints memory -body { set end [getbytes] for {set i 0} {$i < 5} {incr i} { - interp create foo - foo eval { + interp create foo + foo eval { namespace eval bar {} - } + } interp delete foo set tmp $end set end [getbytes] @@ -372,7 +372,7 @@ test compile-12.2 {testing error on literal deletion} -constraints {memory exec} } puts 0 } source.file] - exec [interpreter] $sourceFile + exec [interpreter] $sourceFile } -cleanup { catch {removeFile $sourceFile} } -result 0 @@ -465,7 +465,7 @@ test compile-14.1 {testing errors in element name; segfault?} {} { test compile-14.2 {testing element name "$"} -body { unset -nocomplain a set a() 1 - set a(1) 2 + set a(1) 2 set a($) 3 list [set a()] [set a(1)] [set a($)] [unset a() a(1); lindex [array names a] 0] } -cleanup {unset a} -result [list 1 2 3 {$}] diff --git a/tests/coroutine.test b/tests/coroutine.test index 205da67..86fa6e3 100644 --- a/tests/coroutine.test +++ b/tests/coroutine.test @@ -66,7 +66,7 @@ test coroutine-1.3 {yield returns new arg} -setup { incr i } } - coroutine foo ::apply [list {{start 2} {stop 10}} $body] + coroutine foo ::apply [list {{start 2} {stop 10}} $body] set res {} } -body { for {set k 1} {$k < 4} {incr k} { @@ -476,7 +476,7 @@ test coroutine-5.1 {right numLevels on coro return} -constraints {testnrelevels} expr {[lindex [testnrelevels] 1] - 1} } proc relativeLevel base { - # remove the level for this proc's call + # remove the level for this proc's call expr {[getNumLevel] - $base - 1} } proc foo {} { @@ -517,7 +517,7 @@ test coroutine-5.2 {right numLevels within coro} -constraints {testnrelevels} \ expr {[lindex [testnrelevels] 1] - 1} } proc relativeLevel base { - # remove the level for this proc's call + # remove the level for this proc's call expr {[getNumLevel] - $base - 1} } proc foo base { @@ -588,7 +588,7 @@ test coroutine-7.2 {multi-argument yielding with yieldto} -body { coroutine a corobody coroutine b corobody list [a x] [a y z] [a \{p] [a \{q r] [a] [a] [rename a {}] \ - [b ok] [rename b {}] + [b ok] [rename b {}] } -cleanup { rename corobody {} } -result {x {y z 2} \{p {\{q r 2} {} 0 {} ok {}} diff --git a/tests/encoding.test b/tests/encoding.test index 0374e2d..4dddbb5 100644 --- a/tests/encoding.test +++ b/tests/encoding.test @@ -73,7 +73,7 @@ test encoding-2.2 {Tcl_FreeEncoding: refcount != 0} -setup { } -constraints {testencoding} -body { encoding system shiftjis ;# incr ref count encoding dirs [list [pwd]] - set x [encoding convertto shiftjis \u4e4e] ;# old one found + set x [encoding convertto shiftjis \u4e4e] ;# old one found encoding system identity llength shiftjis ;# Shimmer away any cache of Tcl_Encoding lappend x [catch {encoding convertto shiftjis \u4e4e} msg] $msg @@ -182,7 +182,7 @@ test encoding-8.1 {Tcl_ExternalToUtf} { puts -nonewline $f "ab\x8c\xc1g" close $f set f [open [file join [temporaryDirectory] dummy] r] - fconfigure $f -translation binary -encoding shiftjis + fconfigure $f -translation binary -encoding shiftjis set x [read $f] close $f file delete [file join [temporaryDirectory] dummy] @@ -265,7 +265,7 @@ test encoding-11.6 {LoadEncodingFile: invalid file} -constraints {testencoding} makeDirectory tmp makeDirectory [file join tmp encoding] set f [open [file join tmp encoding splat.enc] w] - fconfigure $f -translation binary + fconfigure $f -translation binary puts $f "abcdefghijklmnop" close $f encoding convertto splat \u4e4e @@ -286,11 +286,11 @@ test encoding-12.1 {LoadTableEncoding: normal encoding} { append x [encoding convertfrom iso8859-3 \xd5] } "\xd5?\u120" test encoding-12.2 {LoadTableEncoding: single-byte encoding} { - set x [encoding convertto iso8859-3 ab\u0120g] + set x [encoding convertto iso8859-3 ab\u0120g] append x [encoding convertfrom iso8859-3 ab\xd5g] } "ab\xd5gab\u120g" test encoding-12.3 {LoadTableEncoding: multi-byte encoding} { - set x [encoding convertto shiftjis ab\u4e4eg] + set x [encoding convertto shiftjis ab\u4e4eg] append x [encoding convertfrom shiftjis ab\x8c\xc1g] } "ab\x8c\xc1gab\u4e4eg" test encoding-12.4 {LoadTableEncoding: double-byte encoding} { diff --git a/tests/execute.test b/tests/execute.test index 9a2ffbd..5b8ce2d 100644 --- a/tests/execute.test +++ b/tests/execute.test @@ -698,7 +698,7 @@ test execute-6.12 {Tcl_ExprObj: exprcode interp validation} -setup { lappend result [e $e] interp delete slave interp create slave - interp alias {} e slave expr + interp alias {} e slave expr lappend result [e $e] } -cleanup { interp delete slave @@ -1013,8 +1013,8 @@ test execute-10.3 {Bug 3072640} -setup { yield $i } } - proc t {args} { - incr ::foo + proc t {args} { + incr ::foo } trace add execution ::generate enterstep ::t } -body { diff --git a/tests/expr-old.test b/tests/expr-old.test index 06a00ba..3adfb63 100644 --- a/tests/expr-old.test +++ b/tests/expr-old.test @@ -420,13 +420,13 @@ test expr-old-21.3 {parenthesization} {expr +(3-4)} -1 # Embedded commands and variable names. -set a 16 -test expr-old-22.1 {embedded variables} {expr {2*$a}} 32 +set a 16 +test expr-old-22.1 {embedded variables} {expr {2*$a}} 32 test expr-old-22.2 {embedded variables} { set x -5 set y 10 expr {$x + $y} -} {5} +} {5} test expr-old-22.3 {embedded variables} { set x " -5" set y " +10" @@ -1120,7 +1120,7 @@ test expr-old-37.25 {Tcl_ExprDouble and NaN} \ {ieeeFloatingPoint testexprdouble} { list [catch {testexprdouble 0.0/0.0} result] $result } {1 {domain error: argument not in valid range}} - + test expr-old-38.1 {Verify Tcl_ExprString's basic operation} -constraints {testexprstring} -body { list [testexprstring "1+4"] [testexprstring "2*3+4.2"] \ [catch {testexprstring "1+"} msg] $msg diff --git a/tests/expr.test b/tests/expr.test index 4c03262..4046411 100644 --- a/tests/expr.test +++ b/tests/expr.test @@ -1429,7 +1429,7 @@ test expr-23.74.3 {INST_EXPON: Bug 2798543} { expr {(-14)**17 == (-14)**65553} } 0 - + # Some compilers get this wrong; ensure that we work around it correctly test expr-24.1 {expr edge cases; shifting} {expr int(5)>>32} 0 test expr-24.2 {expr edge cases; shifting} {expr int(5)>>63} 0 @@ -5777,7 +5777,7 @@ test expr-32.1 {expr mod basics} { 0 1 0 3 3 \ 0 -1 0 -1 -2 \ ] - + test expr-32.2 {expr div basics} { set mod_nums [list \ {-3 1} {-3 2} {-3 3} {-3 4} {-3 5} \ @@ -6776,7 +6776,7 @@ test expr-39.16 {Tcl_ExprLongObj handles overflows} \ list [catch {testexprlongobj 4294967296.} result] $result } \ -result {1 {integer value too large to represent*}} - + test expr-39.17 {Check that Tcl_ExprDoubleObj doesn't modify interpreter result if no error} testexprdoubleobj { testexprdoubleobj 4.+1. } {This is a result: 5.0} diff --git a/tests/fileSystem.test b/tests/fileSystem.test index 9fe4fe9..1941936 100644 --- a/tests/fileSystem.test +++ b/tests/fileSystem.test @@ -146,7 +146,7 @@ test filesystem-1.10 {link normalisation: double link} -constraints { [file normalize [file join dir2.link inside.file foo]] } -cleanup { file delete dir2.link -} -result ok +} -result ok makeDirectory dir2.file test filesystem-1.11 {link normalisation: double link, back in tree} {unix hasLinks} { file link dir2.link dir.link @@ -874,7 +874,7 @@ test filesystem-9.5 {path objects and file tail and object rep} -setup { } return $res } -cleanup { - file delete -force dgp + file delete -force dgp cd $origdir } -result {test test} test filesystem-9.6 {path objects and file tail and object rep} win { diff --git a/tests/history.test b/tests/history.test index c562796..1a255a4 100644 --- a/tests/history.test +++ b/tests/history.test @@ -10,7 +10,7 @@ # # See the file "license.terms" for information on usage and redistribution of # this file, and for a DISCLAIMER OF ALL WARRANTIES. - + if {[lsearch [namespace children] ::tcltest] == -1} { package require tcltest namespace import -force ::tcltest::* diff --git a/tests/httpd b/tests/httpd index 232e80a..c934fac 100644 --- a/tests/httpd +++ b/tests/httpd @@ -205,7 +205,7 @@ proc httpdRespond { sock } { } # Catch errors from premature client closes - + catch { if {$data(proto) == "HEAD"} { puts $sock "HTTP/1.0 200 OK" diff --git a/tests/httpold.test b/tests/httpold.test index aeba311..5995bed 100644 --- a/tests/httpold.test +++ b/tests/httpold.test @@ -36,7 +36,7 @@ if {[catch {package require http 1.0}]} { set bindata "This is binary data\x0d\x0amore\x0dmore\x0amore\x00null" catch {unset data} -## +## ## The httpd script implement a stub http server ## source [file join [file dirname [info script]] httpd] diff --git a/tests/info.test b/tests/info.test index 3057dd2..60b9e66 100644 --- a/tests/info.test +++ b/tests/info.test @@ -2099,7 +2099,7 @@ proc foo::bar {} { foreach {*}{ x y {set res [info frame 0]} - } + } return $res } test info-33.13 {{*}, literal, simple, bytecompiled} -body { @@ -2114,7 +2114,7 @@ proc foo::bar {} { if {*}{ {[return [info frame 0]]} {} - } + } } test info-33.14 {{*}, literal, simple, bytecompiled} -body { reduce [foo::bar] @@ -2128,7 +2128,7 @@ proc foo::bar {} { if 0 {*}{ {} else {return [info frame 0]} - } + } } test info-33.15 {{*}, literal, simple, bytecompiled} -body { reduce [foo::bar] @@ -2229,7 +2229,7 @@ namespace eval foo {} proc foo::bar {} { try {*}{ {set res [info frame 0]} - } + } return $res } test info-33.23 {{*}, literal, simple, bytecompiled} -body { diff --git a/tests/init.test b/tests/init.test index 41b8624..0241283 100644 --- a/tests/init.test +++ b/tests/init.test @@ -28,7 +28,7 @@ test init-1.2 {auto_qualify - absolute cmd - global} { } global test init-1.3 {auto_qualify - no colons cmd - global} { auto_qualify nocolons :: -} nocolons +} nocolons test init-1.4 {auto_qualify - no colons cmd - namespace} { auto_qualify nocolons ::sub } {::sub::nocolons nocolons} @@ -93,11 +93,11 @@ test init-2.5 {load safe:::setLogCmd - stage 2} { auto_reset catch {rename ::safe::setLogCmd {}} test init-2.6 {load setLogCmd from safe:: - stage 1} { - namespace eval safe setLogCmd + namespace eval safe setLogCmd rename ::safe::setLogCmd {} ;# should not fail } {} test init-2.7 {oad setLogCmd from safe:: - stage 2} { - namespace eval safe setLogCmd + namespace eval safe setLogCmd rename ::safe::setLogCmd {} ;# should not fail } {} test init-2.8 {load tcl::HistAdd} -setup { @@ -132,12 +132,12 @@ foreach arg [subst -nocommands -novariables { and is long enough to be truncated and " <- includes a false lead in the prune point search and must be longer still to force truncation} - {contrived example: rare circumstance + {contrived example: rare circumstance where the point at which to prune the error stack cannot be uniquely determined. foo bar foo "} - {contrived example: rare circumstance + {contrived example: rare circumstance where the point at which to prune the error stack cannot be uniquely determined. foo bar diff --git a/tests/interp.test b/tests/interp.test index 4bc9fe2..6c9fb56 100644 --- a/tests/interp.test +++ b/tests/interp.test @@ -56,7 +56,7 @@ test interp-1.8 {options for interp command} -returnCodes error -body { } -result {bad option "-froboz": must be alias, aliases, bgerror, cancel, create, debug, delete, eval, exists, expose, hide, hidden, issafe, invokehidden, limit, marktrusted, recursionlimit, slaves, share, target, or transfer} test interp-1.9 {options for interp command} -returnCodes error -body { interp -froboz -safe -} -result {bad option "-froboz": must be alias, aliases, bgerror, cancel, create, debug, delete, eval, exists, expose, hide, hidden, issafe, invokehidden, limit, marktrusted, recursionlimit, slaves, share, target, or transfer} +} -result {bad option "-froboz": must be alias, aliases, bgerror, cancel, create, debug, delete, eval, exists, expose, hide, hidden, issafe, invokehidden, limit, marktrusted, recursionlimit, slaves, share, target, or transfer} test interp-1.10 {options for interp command} -returnCodes error -body { interp target } -result {wrong # args: should be "interp target path alias"} @@ -70,7 +70,7 @@ test interp-2.2 {basic interpreter creation} { } 0 test interp-2.3 {basic interpreter creation} { catch {interp create -safe} -} 0 +} 0 test interp-2.4 {basic interpreter creation} { list [catch {interp create a} msg] $msg } {1 {interpreter named "a" already exists, cannot create}} @@ -102,7 +102,7 @@ test interp-2.11 {anonymous interps vs existing procs} { set x [interp create] regexp "interp(\[0-9]+)" $x dummy anothernum expr $anothernum > $thenum -} 1 +} 1 test interp-2.12 {anonymous interps vs existing procs} { set x [interp create -safe] regexp "interp(\[0-9]+)" $x dummy thenum @@ -844,12 +844,12 @@ test interp-18.9 {eval in deleted interp, bug 495830} { interp create tst interp alias tst suicide {} interp delete tst list [catch {tst eval {suicide; set a 5}} msg] $msg -} {1 {attempt to call eval in deleted interpreter}} +} {1 {attempt to call eval in deleted interpreter}} test interp-18.10 {eval in deleted interp, bug 495830} { interp create tst interp alias tst suicide {} interp delete tst list [catch {tst eval {set set set; suicide; $set a 5}} msg] $msg -} {1 {attempt to call eval in deleted interpreter}} +} {1 {attempt to call eval in deleted interpreter}} # Test alias deletion @@ -939,7 +939,7 @@ test interp-19.9 {alias deletion, renaming} { set l [interp eval a foo] interp delete a set l -} 1156 +} 1156 test interp-20.1 {interp hide, interp expose and interp invokehidden} { set a [interp create] @@ -1160,7 +1160,7 @@ test interp-20.21 {interp hide vs safety} { catch {interp delete a} interp create a -safe set l "" - lappend l [catch {a hide list} msg] + lappend l [catch {a hide list} msg] lappend l $msg interp delete a set l @@ -1169,7 +1169,7 @@ test interp-20.22 {interp hide vs safety} { catch {interp delete a} interp create a -safe set l "" - lappend l [catch {interp hide a list} msg] + lappend l [catch {interp hide a list} msg] lappend l $msg interp delete a set l @@ -1178,7 +1178,7 @@ test interp-20.23 {interp hide vs safety} { catch {interp delete a} interp create a -safe set l "" - lappend l [catch {a eval {interp hide {} list}} msg] + lappend l [catch {a eval {interp hide {} list}} msg] lappend l $msg interp delete a set l @@ -1188,7 +1188,7 @@ test interp-20.24 {interp hide vs safety} { interp create a -safe interp create {a b} set l "" - lappend l [catch {a eval {interp hide b list}} msg] + lappend l [catch {a eval {interp hide b list}} msg] lappend l $msg interp delete a set l @@ -1207,7 +1207,7 @@ test interp-20.26 {interp expoose vs safety} { catch {interp delete a} interp create a -safe set l "" - lappend l [catch {a hide list} msg] + lappend l [catch {a hide list} msg] lappend l $msg lappend l [catch {a expose list} msg] lappend l $msg @@ -1218,9 +1218,9 @@ test interp-20.27 {interp expose vs safety} { catch {interp delete a} interp create a -safe set l "" - lappend l [catch {interp hide a list} msg] + lappend l [catch {interp hide a list} msg] lappend l $msg - lappend l [catch {interp expose a list} msg] + lappend l [catch {interp expose a list} msg] lappend l $msg interp delete a set l @@ -1229,7 +1229,7 @@ test interp-20.28 {interp expose vs safety} { catch {interp delete a} interp create a -safe set l "" - lappend l [catch {a hide list} msg] + lappend l [catch {a hide list} msg] lappend l $msg lappend l [catch {a eval {interp expose {} list}} msg] lappend l $msg @@ -1240,9 +1240,9 @@ test interp-20.29 {interp expose vs safety} { catch {interp delete a} interp create a -safe set l "" - lappend l [catch {interp hide a list} msg] + lappend l [catch {interp hide a list} msg] lappend l $msg - lappend l [catch {a eval {interp expose {} list}} msg] + lappend l [catch {a eval {interp expose {} list}} msg] lappend l $msg interp delete a set l @@ -1252,9 +1252,9 @@ test interp-20.30 {interp expose vs safety} { interp create a -safe interp create {a b} set l "" - lappend l [catch {interp hide {a b} list} msg] + lappend l [catch {interp hide {a b} list} msg] lappend l $msg - lappend l [catch {a eval {interp expose b list}} msg] + lappend l [catch {a eval {interp expose b list}} msg] lappend l $msg interp delete a set l @@ -1264,7 +1264,7 @@ test interp-20.31 {interp expose vs safety} { interp create a -safe interp create {a b} set l "" - lappend l [catch {interp hide {a b} list} msg] + lappend l [catch {interp hide {a b} list} msg] lappend l $msg lappend l [catch {interp expose {a b} list} msg] lappend l $msg @@ -1644,7 +1644,7 @@ test interp-21.5 {interp hidden} -setup { lsort [interp hidden a] } -cleanup { interp delete a -} -result $hidden_cmds +} -result $hidden_cmds test interp-21.6 {interp hidden vs interp hide, interp expose} -setup { catch {interp delete a} set l "" @@ -2168,7 +2168,7 @@ test interp-27.1 {interp aliases & namespaces} -setup { set i [interp create] } -body { set aliasTrace {} - proc tstAlias {args} { + proc tstAlias {args} { global aliasTrace lappend aliasTrace [list [namespace current] $args] } @@ -2182,7 +2182,7 @@ test interp-27.2 {interp aliases & namespaces} -setup { set i [interp create] } -body { set aliasTrace {} - proc tstAlias {args} { + proc tstAlias {args} { global aliasTrace lappend aliasTrace [list [namespace current] $args] } @@ -2196,7 +2196,7 @@ test interp-27.3 {interp aliases & namespaces} -setup { set i [interp create] } -body { set aliasTrace {} - proc tstAlias {args} { + proc tstAlias {args} { global aliasTrace lappend aliasTrace [list [namespace current] $args] } @@ -2212,7 +2212,7 @@ test interp-27.4 {interp aliases & namespaces} -setup { } -body { namespace eval foo2 { variable aliasTrace {} - proc bar {args} { + proc bar {args} { variable aliasTrace lappend aliasTrace [list [namespace current] $args] } @@ -3289,7 +3289,7 @@ test interp-34.9 {time limits trigger in blocking after} { } msg] set t1 [clock seconds] interp delete $i - list $code $msg [expr {($t1-$t0) < 3 ? "OK" : $t1-$t0}] + list $code $msg [expr {($t1-$t0) < 3 ? "OK" : $t1-$t0}] } {1 {time limit exceeded} OK} test interp-34.10 {time limits trigger in vwaits: Bug 1221395} -body { set i [interp create] @@ -3523,7 +3523,7 @@ test interp-35.24 {interp time limits can't touch current interp} -body { test interp-36.1 {interp bgerror syntax} -body { interp bgerror } -returnCodes error -result {wrong # args: should be "interp bgerror path ?cmdPrefix?"} -test interp-36.2 {interp bgerror syntax} -body { +test interp-36.2 {interp bgerror syntax} -body { interp bgerror x y z } -returnCodes error -result {wrong # args: should be "interp bgerror path ?cmdPrefix?"} test interp-36.3 {interp bgerror syntax} -setup { diff --git a/tests/io.test b/tests/io.test index 6b6ad6d..46856b6 100644 --- a/tests/io.test +++ b/tests/io.test @@ -123,10 +123,10 @@ test io-1.8 {Tcl_WriteChars: WriteChars} { # applied to tcl will cause tcl, more specifically WriteChars, to # go into an infinite loop. - set f [open $path(test2) w] - fconfigure $f -encoding iso2022-jp - puts -nonewline $f [format %s%c [string repeat " " 4] 12399] - close $f + set f [open $path(test2) w] + fconfigure $f -encoding iso2022-jp + puts -nonewline $f [format %s%c [string repeat " " 4] 12399] + close $f contents $path(test2) } " \x1b\$B\$O\x1b(B" @@ -192,7 +192,7 @@ test io-1.9 {Tcl_WriteChars: WriteChars} { test io-2.1 {WriteBytes} { # loop until all bytes are written - + set f [open $path(test1) w] fconfigure $f -encoding binary -buffersize 16 -translation crlf puts $f "abcdefghijklmnopqrstuvwxyz" @@ -214,7 +214,7 @@ test io-2.3 {WriteBytes: flush on line} { # Tcl "line" buffering has weird behavior: if current buffer contains # a \n, entire buffer gets flushed. Logical behavior would be to flush # only up to the \n. - + set f [open $path(test1) w] fconfigure $f -encoding binary -buffering line -translation crlf puts -nonewline $f "\n12" @@ -234,7 +234,7 @@ test io-2.4 {WriteBytes: reset sawLF after each buffer} { test io-3.1 {WriteChars: compatibility with WriteBytes} { # loop until all bytes are written - + set f [open $path(test1) w] fconfigure $f -encoding ascii -buffersize 16 -translation crlf puts $f "abcdefghijklmnopqrstuvwxyz" @@ -256,7 +256,7 @@ test io-3.3 {WriteChars: compatibility with WriteBytes: flush on line} { # Tcl "line" buffering has weird behavior: if current buffer contains # a \n, entire buffer gets flushed. Logical behavior would be to flush # only up to the \n. - + set f [open $path(test1) w] fconfigure $f -encoding ascii -buffering line -translation crlf puts -nonewline $f "\n12" @@ -268,7 +268,7 @@ test io-3.4 {WriteChars: loop over stage buffer} { # stage buffer maps to more than can be queued at once. set f [open $path(test1) w] - fconfigure $f -encoding jis0208 -buffersize 16 + fconfigure $f -encoding jis0208 -buffersize 16 puts -nonewline $f "\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\" set x [list [contents $path(test1)]] close $f @@ -280,7 +280,7 @@ test io-3.5 {WriteChars: saved != 0} { # requested buffersize. set f [open $path(test1) w] - fconfigure $f -encoding jis0208 -buffersize 17 + fconfigure $f -encoding jis0208 -buffersize 17 puts -nonewline $f "\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\" set x [list [contents $path(test1)]] close $f @@ -311,7 +311,7 @@ test io-3.7 {WriteChars: (bufPtr->nextAdded > bufPtr->length)} { # of the next channel buffer. set f [open $path(test1) w] - fconfigure $f -encoding jis0208 -buffersize 17 + fconfigure $f -encoding jis0208 -buffersize 17 puts -nonewline $f "\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\" set x [list [contents $path(test1)]] close $f @@ -381,7 +381,7 @@ test io-4.5 {TranslateOutputEOL: crlf} { test io-5.1 {CheckFlush: not full} { set f [open $path(test1) w] - fconfigure $f + fconfigure $f puts -nonewline $f "12345678901234567890" set x [list [contents $path(test1)]] close $f @@ -470,7 +470,7 @@ set a "bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb" append a $a append a $a test io-6.6 {Tcl_GetsObj: loop test} { - # if (dst >= dstEnd) + # if (dst >= dstEnd) set f [open $path(test1) w] puts $f $a @@ -769,7 +769,7 @@ test io-6.32 {Tcl_GetsObj: crlf mode: buffer exhausted, more data} {testchannel} } [list 15 "123456789012345" 17 3] test io-6.33 {Tcl_GetsObj: crlf mode: buffer exhausted, at eof} { # eol still equals dstEnd - + set f [open $path(test1) w] fconfigure $f -translation lf puts -nonewline $f "123456789012345\r" @@ -781,8 +781,8 @@ test io-6.33 {Tcl_GetsObj: crlf mode: buffer exhausted, at eof} { set x } [list 16 "123456789012345\r" 1] test io-6.34 {Tcl_GetsObj: crlf mode: buffer exhausted, not followed by \n} { - # not (*eol == '\n') - + # not (*eol == '\n') + set f [open $path(test1) w] fconfigure $f -translation lf puts -nonewline $f "123456789012345\rabcd\r\nefg" @@ -889,7 +889,7 @@ test io-6.43 {Tcl_GetsObj: input saw cr} {stdio testchannel openpipe fileevent} fconfigure $f -buffersize 16 set x [list [gets $f]] fconfigure $f -blocking 0 - lappend x [gets $f line] $line [testchannel queuedcr $f] + lappend x [gets $f line] $line [testchannel queuedcr $f] fconfigure $f -blocking 1 puts -nonewline $f "\nabcd\refg\x1a" lappend x [gets $f line] $line [testchannel queuedcr $f] @@ -898,7 +898,7 @@ test io-6.43 {Tcl_GetsObj: input saw cr} {stdio testchannel openpipe fileevent} set x } [list "bbbbbbbbbbbbbbb" 15 "123456789abcdef" 1 4 "abcd" 0 3 "efg"] test io-6.44 {Tcl_GetsObj: input saw cr, not followed by cr} {stdio testchannel openpipe fileevent} { - # not (*eol == '\n') + # not (*eol == '\n') set f [open "|[list [interpreter] $path(cat)]" w+] fconfigure $f -translation {auto lf} -buffering none @@ -906,7 +906,7 @@ test io-6.44 {Tcl_GetsObj: input saw cr, not followed by cr} {stdio testchannel fconfigure $f -buffersize 16 set x [list [gets $f]] fconfigure $f -blocking 0 - lappend x [gets $f line] $line [testchannel queuedcr $f] + lappend x [gets $f line] $line [testchannel queuedcr $f] fconfigure $f -blocking 1 puts -nonewline $f "abcd\refg\x1a" lappend x [gets $f line] $line [testchannel queuedcr $f] @@ -959,10 +959,10 @@ test io-6.47 {Tcl_GetsObj: auto mode: \r at end of buffer, peek for \n} {testcha set x [list [gets $f] [testchannel inputbuffered $f]] close $f set x -} [list "123456789012345" 15] +} [list "123456789012345" 15] test io-6.48 {Tcl_GetsObj: auto mode: \r at end of buffer, no more avail} {testchannel} { # PeekAhead() did not get any, so (eol >= dstEnd) - + set f [open $path(test1) w] fconfigure $f -translation lf puts -nonewline $f "123456789012345\r" @@ -975,7 +975,7 @@ test io-6.48 {Tcl_GetsObj: auto mode: \r at end of buffer, no more avail} {testc } [list "123456789012345" 1] test io-6.49 {Tcl_GetsObj: auto mode: \r followed by \n} {testchannel} { # if (*eol == '\n') {skip++} - + set f [open $path(test1) w] fconfigure $f -translation lf puts -nonewline $f "123456\r\n78901" @@ -986,8 +986,8 @@ test io-6.49 {Tcl_GetsObj: auto mode: \r followed by \n} {testchannel} { set x } [list "123456" 0 8 "78901"] test io-6.50 {Tcl_GetsObj: auto mode: \r not followed by \n} {testchannel} { - # not (*eol == '\n') - + # not (*eol == '\n') + set f [open $path(test1) w] fconfigure $f -translation lf puts -nonewline $f "123456\r78901" @@ -999,7 +999,7 @@ test io-6.50 {Tcl_GetsObj: auto mode: \r not followed by \n} {testchannel} { } [list "123456" 0 7 "78901"] test io-6.51 {Tcl_GetsObj: auto mode: \n} { # else if (*eol == '\n') {goto gotoeol;} - + set f [open $path(test1) w] fconfigure $f -translation lf puts -nonewline $f "123456\n78901" @@ -1092,7 +1092,7 @@ test io-7.1 {FilterInputBytes: split up character at end of buffer} { } "1234567890123\uff10\uff11\uff12\uff13\uff14" test io-7.2 {FilterInputBytes: split up character in middle of buffer} { # (bufPtr->nextAdded < bufPtr->bufLength) - + set f [open $path(test1) w] fconfigure $f -encoding binary puts -nonewline $f "1234567890\n123\x82\x4f\x82\x50\x82" @@ -1201,7 +1201,7 @@ test io-8.4 {PeekAhead: cached data available in this buffer} { set x [gets $f] close $f - set x + set x } $a unset a test io-8.5 {PeekAhead: don't peek if last read was short} {stdio testchannel openpipe fileevent} { @@ -1217,7 +1217,7 @@ test io-8.5 {PeekAhead: don't peek if last read was short} {stdio testchannel op set x } {15 abcdefghijklmno 1} test io-8.6 {PeekAhead: change to non-blocking mode} {stdio testchannel openpipe fileevent} { - # ((chanPtr->flags & CHANNEL_NONBLOCKING) == 0) + # ((chanPtr->flags & CHANNEL_NONBLOCKING) == 0) set f [open "|[list [interpreter] $path(cat)]" w+] fconfigure $f -translation {auto binary} -buffersize 16 @@ -1574,7 +1574,7 @@ test io-13.2 {TranslateInputEOL: crlf mode} { set x } "abcd\ndef\n" test io-13.3 {TranslateInputEOL: crlf mode: naked cr} { - # (src >= srcMax) + # (src >= srcMax) set f [open $path(test1) w] fconfigure $f -translation lf @@ -1587,7 +1587,7 @@ test io-13.3 {TranslateInputEOL: crlf mode: naked cr} { set x } "abcd\ndef\r" test io-13.4 {TranslateInputEOL: crlf mode: cr followed by not \n} { - # (src >= srcMax) + # (src >= srcMax) set f [open $path(test1) w] fconfigure $f -translation lf @@ -1600,7 +1600,7 @@ test io-13.4 {TranslateInputEOL: crlf mode: cr followed by not \n} { set x } "abcd\ndef\rfgh" test io-13.5 {TranslateInputEOL: crlf mode: naked lf} { - # (src >= srcMax) + # (src >= srcMax) set f [open $path(test1) w] fconfigure $f -translation lf @@ -1715,7 +1715,7 @@ test io-13.9 {TranslateInputEOL: auto mode: \r followed by not \n} { set x } "abcd\ndef" test io-13.10 {TranslateInputEOL: auto mode: \n} { - # not (*src == '\r') + # not (*src == '\r') set f [open $path(test1) w] fconfigure $f -translation lf @@ -2064,7 +2064,7 @@ test io-20.1 {Tcl_CreateChannel: initial settings} { encoding system $old close $a set x -} {ascii} +} {ascii} test io-20.2 {Tcl_CreateChannel: initial settings} {win} { set f [open $path(test1) w+] set x [list [fconfigure $f -eofchar] [fconfigure $f -translation]] @@ -2159,7 +2159,7 @@ test io-26.1 {Tcl_GetChannelInstanceData} {stdio openpipe} { set f [open "|[list [interpreter] << exit]"] expr [pid $f] close $f -} {} +} {} # Test flushing. The functions tested here are FlushChannel. @@ -3057,7 +3057,7 @@ test io-30.6 {Tcl_Write cr, Tcl_Read crlf} { fconfigure $f -translation crlf set x [read $f] close $f - set x + set x } "hello\rthere\rand\rhere\r" test io-30.7 {Tcl_Write crlf, Tcl_Read crlf} { file delete $path(test1) @@ -3985,7 +3985,7 @@ test io-31.31 {Tcl_Write crlf on block boundary, Tcl_Gets crlf} { } close $f set f [open $path(test1) r] - fconfigure $f -translation crlf + fconfigure $f -translation crlf set c "" while {[gets $f line] >= 0} { append c $line\n @@ -5467,7 +5467,7 @@ test io-39.13 {Tcl_SetChannelOption, Tcl_GetChannelOption, buffer size} { test io-39.14 {Tcl_SetChannelOption: -encoding, binary & utf-8} { file delete $path(test1) set f [open $path(test1) w] - fconfigure $f -encoding {} + fconfigure $f -encoding {} puts -nonewline $f \xe7\x89\xa6 close $f set f [open $path(test1) r] diff --git a/tests/ioTrans.test b/tests/ioTrans.test index e179eab..63a609f 100644 --- a/tests/ioTrans.test +++ b/tests/ioTrans.test @@ -1318,7 +1318,7 @@ proc inthread {chan script args} { # forwarded channel operations. set ::tres "" - thread::send -async $tid { + thread::send -async $tid { after 50 catch {s} res; # This runs the script, 's' was defined at (*) thread::send -async $mid [list set ::tres $res] diff --git a/tests/iogt.test b/tests/iogt.test index 1ed89f7..aa579bf 100644 --- a/tests/iogt.test +++ b/tests/iogt.test @@ -5,7 +5,7 @@ # # See the file "license.terms" for information on usage and redistribution of # this file, and for a DISCLAIMER OF ALL WARRANTIES. -# +# # Copyright (c) 2000 Ajuba Solutions. # Copyright (c) 2000 Andreas Kupries. # All rights reserved. diff --git a/tests/lindex.test b/tests/lindex.test index b86e2e0..29eb898 100644 --- a/tests/lindex.test +++ b/tests/lindex.test @@ -432,7 +432,7 @@ test lindex-16.7 {data reuse} { test lindex-17.0 {Bug 1718580} {*}{ -body { lindex {} end foo - } + } -match glob -result {bad index "foo"*} -returnCodes 1 @@ -441,7 +441,7 @@ test lindex-17.0 {Bug 1718580} {*}{ test lindex-17.1 {Bug 1718580} {*}{ -body { lindex a end foo - } + } -match glob -result {bad index "foo"*} -returnCodes 1 diff --git a/tests/lmap.test b/tests/lmap.test index 08035d9..641eac2 100644 --- a/tests/lmap.test +++ b/tests/lmap.test @@ -220,10 +220,10 @@ test lmap-4.14 {lmap errors} -returnCodes error -body { } -result {list element in braces followed by "3" instead of space} unset -nocomplain a test lmap-4.15 {lmap errors} { - apply {{} { + apply {{} { set a(0) 44 - list [catch {lmap a {1 2 3} {}} msg o] $msg $::errorInfo - }} + list [catch {lmap a {1 2 3} {}} msg o] $msg $::errorInfo + }} } {1 {can't set "a": variable is array} {can't set "a": variable is array while executing "lmap a {1 2 3} {}"}} diff --git a/tests/lrange.test b/tests/lrange.test index 17a757e..02b9c65 100644 --- a/tests/lrange.test +++ b/tests/lrange.test @@ -63,7 +63,7 @@ test lrange-1.15 {range of list elements} { } {"a b \{\ "} # emacs highlighting bug workaround --> " test lrange-1.16 {list element quoting} { - lrange {[append a .b]} 0 end + lrange {[append a .b]} 0 end } {{[append} a .b\]} test lrange-2.1 {error conditions} { diff --git a/tests/lrepeat.test b/tests/lrepeat.test index 788bb9b..e89f1b7 100644 --- a/tests/lrepeat.test +++ b/tests/lrepeat.test @@ -40,7 +40,7 @@ test lrepeat-1.4 {error cases} { lrepeat -3 1 } -returnCodes 1 - -result {bad count "-3": must be integer >= 0} + -result {bad count "-3": must be integer >= 0} } test lrepeat-1.5 {Accept zero repetitions (TIP 323)} { -body { @@ -53,7 +53,7 @@ test lrepeat-1.6 {error cases} { lrepeat 3.5 1 } -returnCodes 1 - -result {expected integer but got "3.5"} + -result {expected integer but got "3.5"} } test lrepeat-1.7 {Accept zero repetitions (TIP 323)} { -body { diff --git a/tests/lsearch.test b/tests/lsearch.test index f36e987..b2c1812 100644 --- a/tests/lsearch.test +++ b/tests/lsearch.test @@ -404,16 +404,16 @@ test lsearch-17.2 {lsearch -index option, basic functionality} { lsearch -index 1 -exact {{a c} {a b} {a a}} a } 2 test lsearch-17.3 {lsearch -index option, basic functionality} { - lsearch -index 1 -glob {{ab cb} {ab bb} {ab ab}} b* + lsearch -index 1 -glob {{ab cb} {ab bb} {ab ab}} b* } 1 test lsearch-17.4 {lsearch -index option, basic functionality} { lsearch -index 1 -regexp {{ab cb} {ab bb} {ab ab}} {[cb]b} -} 0 +} 0 test lsearch-17.5 {lsearch -index option, basic functionality} { lsearch -all -index 0 -exact {{a c} {a b} {d a}} a } {0 1} test lsearch-17.6 {lsearch -index option, basic functionality} { - lsearch -all -index 1 -glob {{ab cb} {ab bb} {db bx}} b* + lsearch -all -index 1 -glob {{ab cb} {ab bb} {db bx}} b* } {1 2} test lsearch-17.7 {lsearch -index option, basic functionality} { lsearch -all -index 1 -regexp {{ab cb} {ab bb} {ab ab}} {[cb]b} @@ -426,11 +426,11 @@ test lsearch-18.2 {lsearch -index option, list as index basic functionality} { lsearch -index {2 0} -exact {{{x x} {x b} {a d}} {{a c} {a b} {a a}}} a } 0 test lsearch-18.3 {lsearch -index option, list as index basic functionality} { - lsearch -index {1 1} -glob {{{ab cb} {ab bb} {ab ab}} {{ab cb} {ab bb} {ab ab}}} b* + lsearch -index {1 1} -glob {{{ab cb} {ab bb} {ab ab}} {{ab cb} {ab bb} {ab ab}}} b* } 0 test lsearch-18.4 {lsearch -index option, list as index basic functionality} { lsearch -index {0 1} -regexp {{{ab cb} {ab bb} {ab ab}} {{ab cb} {ab bb} {ab ab}}} {[cb]b} -} 0 +} 0 test lsearch-18.5 {lsearch -index option, list as index basic functionality} { lsearch -all -index {0 0} -exact {{{a c} {a b} {d a}} {{a c} {a b} {d a}}} a } {0 1} @@ -442,11 +442,11 @@ test lsearch-19.2 {lsearch -sunindices option} { lsearch -subindices -index {2 0} -exact {{{x x} {x b} {a d}} {{a c} {a b} {a a}}} a } {0 2 0} test lsearch-19.3 {lsearch -sunindices option} { - lsearch -subindices -index {1 1} -glob {{{ab cb} {ab bb} {ab ab}} {{ab cb} {ab bb} {ab ab}}} b* + lsearch -subindices -index {1 1} -glob {{{ab cb} {ab bb} {ab ab}} {{ab cb} {ab bb} {ab ab}}} b* } {0 1 1} test lsearch-19.4 {lsearch -sunindices option} { lsearch -subindices -index {0 1} -regexp {{{ab cb} {ab bb} {ab ab}} {{ab cb} {ab bb} {ab ab}}} {[cb]b} -} {0 0 1} +} {0 0 1} test lsearch-19.5 {lsearch -sunindices option} { lsearch -subindices -all -index {0 0} -exact {{{a c} {a b} {d a}} {{a c} {a b} {d a}}} a } {{0 0 0} {1 0 0}} diff --git a/tests/lsetComp.test b/tests/lsetComp.test index 6846cbf..6330de4 100644 --- a/tests/lsetComp.test +++ b/tests/lsetComp.test @@ -22,7 +22,7 @@ if {[lsearch [namespace children] ::tcltest] == -1} { proc evalInProc { script } { proc testProc {} $script set status [catch { - testProc + testProc } result] rename testProc {} return [list $status $result] @@ -60,69 +60,69 @@ test lsetComp-2.3 {lset, compiled, list of args, scalar, one-byte offset} { test lsetComp-2.4 {lset, compiled, list of args, scalar, four-byte offset} { evalInProc { - set x0 0; set x1 0; set x2 0; set x3 0; - set x4 0; set x5 0; set x6 0; set x7 0; - set x8 0; set x9 0; set x10 0; set x11 0; - set x12 0; set x13 0; set x14 0; set x15 0; - set x16 0; set x17 0; set x18 0; set x19 0; - set x20 0; set x21 0; set x22 0; set x23 0; - set x24 0; set x25 0; set x26 0; set x27 0; - set x28 0; set x29 0; set x30 0; set x31 0; - set x32 0; set x33 0; set x34 0; set x35 0; - set x36 0; set x37 0; set x38 0; set x39 0; - set x40 0; set x41 0; set x42 0; set x43 0; - set x44 0; set x45 0; set x46 0; set x47 0; - set x48 0; set x49 0; set x50 0; set x51 0; - set x52 0; set x53 0; set x54 0; set x55 0; - set x56 0; set x57 0; set x58 0; set x59 0; - set x60 0; set x61 0; set x62 0; set x63 0; - set x64 0; set x65 0; set x66 0; set x67 0; - set x68 0; set x69 0; set x70 0; set x71 0; - set x72 0; set x73 0; set x74 0; set x75 0; - set x76 0; set x77 0; set x78 0; set x79 0; - set x80 0; set x81 0; set x82 0; set x83 0; - set x84 0; set x85 0; set x86 0; set x87 0; - set x88 0; set x89 0; set x90 0; set x91 0; - set x92 0; set x93 0; set x94 0; set x95 0; - set x96 0; set x97 0; set x98 0; set x99 0; - set x100 0; set x101 0; set x102 0; set x103 0; - set x104 0; set x105 0; set x106 0; set x107 0; - set x108 0; set x109 0; set x110 0; set x111 0; - set x112 0; set x113 0; set x114 0; set x115 0; - set x116 0; set x117 0; set x118 0; set x119 0; - set x120 0; set x121 0; set x122 0; set x123 0; - set x124 0; set x125 0; set x126 0; set x127 0; - set x128 0; set x129 0; set x130 0; set x131 0; - set x132 0; set x133 0; set x134 0; set x135 0; - set x136 0; set x137 0; set x138 0; set x139 0; - set x140 0; set x141 0; set x142 0; set x143 0; - set x144 0; set x145 0; set x146 0; set x147 0; - set x148 0; set x149 0; set x150 0; set x151 0; - set x152 0; set x153 0; set x154 0; set x155 0; - set x156 0; set x157 0; set x158 0; set x159 0; - set x160 0; set x161 0; set x162 0; set x163 0; - set x164 0; set x165 0; set x166 0; set x167 0; - set x168 0; set x169 0; set x170 0; set x171 0; - set x172 0; set x173 0; set x174 0; set x175 0; - set x176 0; set x177 0; set x178 0; set x179 0; - set x180 0; set x181 0; set x182 0; set x183 0; - set x184 0; set x185 0; set x186 0; set x187 0; - set x188 0; set x189 0; set x190 0; set x191 0; - set x192 0; set x193 0; set x194 0; set x195 0; - set x196 0; set x197 0; set x198 0; set x199 0; - set x200 0; set x201 0; set x202 0; set x203 0; - set x204 0; set x205 0; set x206 0; set x207 0; - set x208 0; set x209 0; set x210 0; set x211 0; - set x212 0; set x213 0; set x214 0; set x215 0; - set x216 0; set x217 0; set x218 0; set x219 0; - set x220 0; set x221 0; set x222 0; set x223 0; - set x224 0; set x225 0; set x226 0; set x227 0; - set x228 0; set x229 0; set x230 0; set x231 0; - set x232 0; set x233 0; set x234 0; set x235 0; - set x236 0; set x237 0; set x238 0; set x239 0; - set x240 0; set x241 0; set x242 0; set x243 0; - set x244 0; set x245 0; set x246 0; set x247 0; - set x248 0; set x249 0; set x250 0; set x251 0; + set x0 0; set x1 0; set x2 0; set x3 0; + set x4 0; set x5 0; set x6 0; set x7 0; + set x8 0; set x9 0; set x10 0; set x11 0; + set x12 0; set x13 0; set x14 0; set x15 0; + set x16 0; set x17 0; set x18 0; set x19 0; + set x20 0; set x21 0; set x22 0; set x23 0; + set x24 0; set x25 0; set x26 0; set x27 0; + set x28 0; set x29 0; set x30 0; set x31 0; + set x32 0; set x33 0; set x34 0; set x35 0; + set x36 0; set x37 0; set x38 0; set x39 0; + set x40 0; set x41 0; set x42 0; set x43 0; + set x44 0; set x45 0; set x46 0; set x47 0; + set x48 0; set x49 0; set x50 0; set x51 0; + set x52 0; set x53 0; set x54 0; set x55 0; + set x56 0; set x57 0; set x58 0; set x59 0; + set x60 0; set x61 0; set x62 0; set x63 0; + set x64 0; set x65 0; set x66 0; set x67 0; + set x68 0; set x69 0; set x70 0; set x71 0; + set x72 0; set x73 0; set x74 0; set x75 0; + set x76 0; set x77 0; set x78 0; set x79 0; + set x80 0; set x81 0; set x82 0; set x83 0; + set x84 0; set x85 0; set x86 0; set x87 0; + set x88 0; set x89 0; set x90 0; set x91 0; + set x92 0; set x93 0; set x94 0; set x95 0; + set x96 0; set x97 0; set x98 0; set x99 0; + set x100 0; set x101 0; set x102 0; set x103 0; + set x104 0; set x105 0; set x106 0; set x107 0; + set x108 0; set x109 0; set x110 0; set x111 0; + set x112 0; set x113 0; set x114 0; set x115 0; + set x116 0; set x117 0; set x118 0; set x119 0; + set x120 0; set x121 0; set x122 0; set x123 0; + set x124 0; set x125 0; set x126 0; set x127 0; + set x128 0; set x129 0; set x130 0; set x131 0; + set x132 0; set x133 0; set x134 0; set x135 0; + set x136 0; set x137 0; set x138 0; set x139 0; + set x140 0; set x141 0; set x142 0; set x143 0; + set x144 0; set x145 0; set x146 0; set x147 0; + set x148 0; set x149 0; set x150 0; set x151 0; + set x152 0; set x153 0; set x154 0; set x155 0; + set x156 0; set x157 0; set x158 0; set x159 0; + set x160 0; set x161 0; set x162 0; set x163 0; + set x164 0; set x165 0; set x166 0; set x167 0; + set x168 0; set x169 0; set x170 0; set x171 0; + set x172 0; set x173 0; set x174 0; set x175 0; + set x176 0; set x177 0; set x178 0; set x179 0; + set x180 0; set x181 0; set x182 0; set x183 0; + set x184 0; set x185 0; set x186 0; set x187 0; + set x188 0; set x189 0; set x190 0; set x191 0; + set x192 0; set x193 0; set x194 0; set x195 0; + set x196 0; set x197 0; set x198 0; set x199 0; + set x200 0; set x201 0; set x202 0; set x203 0; + set x204 0; set x205 0; set x206 0; set x207 0; + set x208 0; set x209 0; set x210 0; set x211 0; + set x212 0; set x213 0; set x214 0; set x215 0; + set x216 0; set x217 0; set x218 0; set x219 0; + set x220 0; set x221 0; set x222 0; set x223 0; + set x224 0; set x225 0; set x226 0; set x227 0; + set x228 0; set x229 0; set x230 0; set x231 0; + set x232 0; set x233 0; set x234 0; set x235 0; + set x236 0; set x237 0; set x238 0; set x239 0; + set x240 0; set x241 0; set x242 0; set x243 0; + set x244 0; set x245 0; set x246 0; set x247 0; + set x248 0; set x249 0; set x250 0; set x251 0; set x252 0; set x253 0; set x254 0; set x255 0; set x {{1 2} {3 4}} lset x {1 1} 5 @@ -145,69 +145,69 @@ test lsetComp-2.6 {lset, compiled, list of args, array, one-byte offset} { test lsetComp-2.7 {lset, compiled, list of args, array, four-byte offset} { evalInProc { - set x0 0; set x1 0; set x2 0; set x3 0; - set x4 0; set x5 0; set x6 0; set x7 0; - set x8 0; set x9 0; set x10 0; set x11 0; - set x12 0; set x13 0; set x14 0; set x15 0; - set x16 0; set x17 0; set x18 0; set x19 0; - set x20 0; set x21 0; set x22 0; set x23 0; - set x24 0; set x25 0; set x26 0; set x27 0; - set x28 0; set x29 0; set x30 0; set x31 0; - set x32 0; set x33 0; set x34 0; set x35 0; - set x36 0; set x37 0; set x38 0; set x39 0; - set x40 0; set x41 0; set x42 0; set x43 0; - set x44 0; set x45 0; set x46 0; set x47 0; - set x48 0; set x49 0; set x50 0; set x51 0; - set x52 0; set x53 0; set x54 0; set x55 0; - set x56 0; set x57 0; set x58 0; set x59 0; - set x60 0; set x61 0; set x62 0; set x63 0; - set x64 0; set x65 0; set x66 0; set x67 0; - set x68 0; set x69 0; set x70 0; set x71 0; - set x72 0; set x73 0; set x74 0; set x75 0; - set x76 0; set x77 0; set x78 0; set x79 0; - set x80 0; set x81 0; set x82 0; set x83 0; - set x84 0; set x85 0; set x86 0; set x87 0; - set x88 0; set x89 0; set x90 0; set x91 0; - set x92 0; set x93 0; set x94 0; set x95 0; - set x96 0; set x97 0; set x98 0; set x99 0; - set x100 0; set x101 0; set x102 0; set x103 0; - set x104 0; set x105 0; set x106 0; set x107 0; - set x108 0; set x109 0; set x110 0; set x111 0; - set x112 0; set x113 0; set x114 0; set x115 0; - set x116 0; set x117 0; set x118 0; set x119 0; - set x120 0; set x121 0; set x122 0; set x123 0; - set x124 0; set x125 0; set x126 0; set x127 0; - set x128 0; set x129 0; set x130 0; set x131 0; - set x132 0; set x133 0; set x134 0; set x135 0; - set x136 0; set x137 0; set x138 0; set x139 0; - set x140 0; set x141 0; set x142 0; set x143 0; - set x144 0; set x145 0; set x146 0; set x147 0; - set x148 0; set x149 0; set x150 0; set x151 0; - set x152 0; set x153 0; set x154 0; set x155 0; - set x156 0; set x157 0; set x158 0; set x159 0; - set x160 0; set x161 0; set x162 0; set x163 0; - set x164 0; set x165 0; set x166 0; set x167 0; - set x168 0; set x169 0; set x170 0; set x171 0; - set x172 0; set x173 0; set x174 0; set x175 0; - set x176 0; set x177 0; set x178 0; set x179 0; - set x180 0; set x181 0; set x182 0; set x183 0; - set x184 0; set x185 0; set x186 0; set x187 0; - set x188 0; set x189 0; set x190 0; set x191 0; - set x192 0; set x193 0; set x194 0; set x195 0; - set x196 0; set x197 0; set x198 0; set x199 0; - set x200 0; set x201 0; set x202 0; set x203 0; - set x204 0; set x205 0; set x206 0; set x207 0; - set x208 0; set x209 0; set x210 0; set x211 0; - set x212 0; set x213 0; set x214 0; set x215 0; - set x216 0; set x217 0; set x218 0; set x219 0; - set x220 0; set x221 0; set x222 0; set x223 0; - set x224 0; set x225 0; set x226 0; set x227 0; - set x228 0; set x229 0; set x230 0; set x231 0; - set x232 0; set x233 0; set x234 0; set x235 0; - set x236 0; set x237 0; set x238 0; set x239 0; - set x240 0; set x241 0; set x242 0; set x243 0; - set x244 0; set x245 0; set x246 0; set x247 0; - set x248 0; set x249 0; set x250 0; set x251 0; + set x0 0; set x1 0; set x2 0; set x3 0; + set x4 0; set x5 0; set x6 0; set x7 0; + set x8 0; set x9 0; set x10 0; set x11 0; + set x12 0; set x13 0; set x14 0; set x15 0; + set x16 0; set x17 0; set x18 0; set x19 0; + set x20 0; set x21 0; set x22 0; set x23 0; + set x24 0; set x25 0; set x26 0; set x27 0; + set x28 0; set x29 0; set x30 0; set x31 0; + set x32 0; set x33 0; set x34 0; set x35 0; + set x36 0; set x37 0; set x38 0; set x39 0; + set x40 0; set x41 0; set x42 0; set x43 0; + set x44 0; set x45 0; set x46 0; set x47 0; + set x48 0; set x49 0; set x50 0; set x51 0; + set x52 0; set x53 0; set x54 0; set x55 0; + set x56 0; set x57 0; set x58 0; set x59 0; + set x60 0; set x61 0; set x62 0; set x63 0; + set x64 0; set x65 0; set x66 0; set x67 0; + set x68 0; set x69 0; set x70 0; set x71 0; + set x72 0; set x73 0; set x74 0; set x75 0; + set x76 0; set x77 0; set x78 0; set x79 0; + set x80 0; set x81 0; set x82 0; set x83 0; + set x84 0; set x85 0; set x86 0; set x87 0; + set x88 0; set x89 0; set x90 0; set x91 0; + set x92 0; set x93 0; set x94 0; set x95 0; + set x96 0; set x97 0; set x98 0; set x99 0; + set x100 0; set x101 0; set x102 0; set x103 0; + set x104 0; set x105 0; set x106 0; set x107 0; + set x108 0; set x109 0; set x110 0; set x111 0; + set x112 0; set x113 0; set x114 0; set x115 0; + set x116 0; set x117 0; set x118 0; set x119 0; + set x120 0; set x121 0; set x122 0; set x123 0; + set x124 0; set x125 0; set x126 0; set x127 0; + set x128 0; set x129 0; set x130 0; set x131 0; + set x132 0; set x133 0; set x134 0; set x135 0; + set x136 0; set x137 0; set x138 0; set x139 0; + set x140 0; set x141 0; set x142 0; set x143 0; + set x144 0; set x145 0; set x146 0; set x147 0; + set x148 0; set x149 0; set x150 0; set x151 0; + set x152 0; set x153 0; set x154 0; set x155 0; + set x156 0; set x157 0; set x158 0; set x159 0; + set x160 0; set x161 0; set x162 0; set x163 0; + set x164 0; set x165 0; set x166 0; set x167 0; + set x168 0; set x169 0; set x170 0; set x171 0; + set x172 0; set x173 0; set x174 0; set x175 0; + set x176 0; set x177 0; set x178 0; set x179 0; + set x180 0; set x181 0; set x182 0; set x183 0; + set x184 0; set x185 0; set x186 0; set x187 0; + set x188 0; set x189 0; set x190 0; set x191 0; + set x192 0; set x193 0; set x194 0; set x195 0; + set x196 0; set x197 0; set x198 0; set x199 0; + set x200 0; set x201 0; set x202 0; set x203 0; + set x204 0; set x205 0; set x206 0; set x207 0; + set x208 0; set x209 0; set x210 0; set x211 0; + set x212 0; set x213 0; set x214 0; set x215 0; + set x216 0; set x217 0; set x218 0; set x219 0; + set x220 0; set x221 0; set x222 0; set x223 0; + set x224 0; set x225 0; set x226 0; set x227 0; + set x228 0; set x229 0; set x230 0; set x231 0; + set x232 0; set x233 0; set x234 0; set x235 0; + set x236 0; set x237 0; set x238 0; set x239 0; + set x240 0; set x241 0; set x242 0; set x243 0; + set x244 0; set x245 0; set x246 0; set x247 0; + set x248 0; set x249 0; set x250 0; set x251 0; set x252 0; set x253 0; set x254 0; set x255 0; set y(0) {{1 2} {3 4}} lset y(0) {1 1} 5 @@ -253,69 +253,69 @@ test lsetComp-3.3 {lset, compiled, flat args, scalar, one-byte offset} { test lsetComp-3.4 {lset, compiled, scalar, four-byte offset} { evalInProc { - set x0 0; set x1 0; set x2 0; set x3 0; - set x4 0; set x5 0; set x6 0; set x7 0; - set x8 0; set x9 0; set x10 0; set x11 0; - set x12 0; set x13 0; set x14 0; set x15 0; - set x16 0; set x17 0; set x18 0; set x19 0; - set x20 0; set x21 0; set x22 0; set x23 0; - set x24 0; set x25 0; set x26 0; set x27 0; - set x28 0; set x29 0; set x30 0; set x31 0; - set x32 0; set x33 0; set x34 0; set x35 0; - set x36 0; set x37 0; set x38 0; set x39 0; - set x40 0; set x41 0; set x42 0; set x43 0; - set x44 0; set x45 0; set x46 0; set x47 0; - set x48 0; set x49 0; set x50 0; set x51 0; - set x52 0; set x53 0; set x54 0; set x55 0; - set x56 0; set x57 0; set x58 0; set x59 0; - set x60 0; set x61 0; set x62 0; set x63 0; - set x64 0; set x65 0; set x66 0; set x67 0; - set x68 0; set x69 0; set x70 0; set x71 0; - set x72 0; set x73 0; set x74 0; set x75 0; - set x76 0; set x77 0; set x78 0; set x79 0; - set x80 0; set x81 0; set x82 0; set x83 0; - set x84 0; set x85 0; set x86 0; set x87 0; - set x88 0; set x89 0; set x90 0; set x91 0; - set x92 0; set x93 0; set x94 0; set x95 0; - set x96 0; set x97 0; set x98 0; set x99 0; - set x100 0; set x101 0; set x102 0; set x103 0; - set x104 0; set x105 0; set x106 0; set x107 0; - set x108 0; set x109 0; set x110 0; set x111 0; - set x112 0; set x113 0; set x114 0; set x115 0; - set x116 0; set x117 0; set x118 0; set x119 0; - set x120 0; set x121 0; set x122 0; set x123 0; - set x124 0; set x125 0; set x126 0; set x127 0; - set x128 0; set x129 0; set x130 0; set x131 0; - set x132 0; set x133 0; set x134 0; set x135 0; - set x136 0; set x137 0; set x138 0; set x139 0; - set x140 0; set x141 0; set x142 0; set x143 0; - set x144 0; set x145 0; set x146 0; set x147 0; - set x148 0; set x149 0; set x150 0; set x151 0; - set x152 0; set x153 0; set x154 0; set x155 0; - set x156 0; set x157 0; set x158 0; set x159 0; - set x160 0; set x161 0; set x162 0; set x163 0; - set x164 0; set x165 0; set x166 0; set x167 0; - set x168 0; set x169 0; set x170 0; set x171 0; - set x172 0; set x173 0; set x174 0; set x175 0; - set x176 0; set x177 0; set x178 0; set x179 0; - set x180 0; set x181 0; set x182 0; set x183 0; - set x184 0; set x185 0; set x186 0; set x187 0; - set x188 0; set x189 0; set x190 0; set x191 0; - set x192 0; set x193 0; set x194 0; set x195 0; - set x196 0; set x197 0; set x198 0; set x199 0; - set x200 0; set x201 0; set x202 0; set x203 0; - set x204 0; set x205 0; set x206 0; set x207 0; - set x208 0; set x209 0; set x210 0; set x211 0; - set x212 0; set x213 0; set x214 0; set x215 0; - set x216 0; set x217 0; set x218 0; set x219 0; - set x220 0; set x221 0; set x222 0; set x223 0; - set x224 0; set x225 0; set x226 0; set x227 0; - set x228 0; set x229 0; set x230 0; set x231 0; - set x232 0; set x233 0; set x234 0; set x235 0; - set x236 0; set x237 0; set x238 0; set x239 0; - set x240 0; set x241 0; set x242 0; set x243 0; - set x244 0; set x245 0; set x246 0; set x247 0; - set x248 0; set x249 0; set x250 0; set x251 0; + set x0 0; set x1 0; set x2 0; set x3 0; + set x4 0; set x5 0; set x6 0; set x7 0; + set x8 0; set x9 0; set x10 0; set x11 0; + set x12 0; set x13 0; set x14 0; set x15 0; + set x16 0; set x17 0; set x18 0; set x19 0; + set x20 0; set x21 0; set x22 0; set x23 0; + set x24 0; set x25 0; set x26 0; set x27 0; + set x28 0; set x29 0; set x30 0; set x31 0; + set x32 0; set x33 0; set x34 0; set x35 0; + set x36 0; set x37 0; set x38 0; set x39 0; + set x40 0; set x41 0; set x42 0; set x43 0; + set x44 0; set x45 0; set x46 0; set x47 0; + set x48 0; set x49 0; set x50 0; set x51 0; + set x52 0; set x53 0; set x54 0; set x55 0; + set x56 0; set x57 0; set x58 0; set x59 0; + set x60 0; set x61 0; set x62 0; set x63 0; + set x64 0; set x65 0; set x66 0; set x67 0; + set x68 0; set x69 0; set x70 0; set x71 0; + set x72 0; set x73 0; set x74 0; set x75 0; + set x76 0; set x77 0; set x78 0; set x79 0; + set x80 0; set x81 0; set x82 0; set x83 0; + set x84 0; set x85 0; set x86 0; set x87 0; + set x88 0; set x89 0; set x90 0; set x91 0; + set x92 0; set x93 0; set x94 0; set x95 0; + set x96 0; set x97 0; set x98 0; set x99 0; + set x100 0; set x101 0; set x102 0; set x103 0; + set x104 0; set x105 0; set x106 0; set x107 0; + set x108 0; set x109 0; set x110 0; set x111 0; + set x112 0; set x113 0; set x114 0; set x115 0; + set x116 0; set x117 0; set x118 0; set x119 0; + set x120 0; set x121 0; set x122 0; set x123 0; + set x124 0; set x125 0; set x126 0; set x127 0; + set x128 0; set x129 0; set x130 0; set x131 0; + set x132 0; set x133 0; set x134 0; set x135 0; + set x136 0; set x137 0; set x138 0; set x139 0; + set x140 0; set x141 0; set x142 0; set x143 0; + set x144 0; set x145 0; set x146 0; set x147 0; + set x148 0; set x149 0; set x150 0; set x151 0; + set x152 0; set x153 0; set x154 0; set x155 0; + set x156 0; set x157 0; set x158 0; set x159 0; + set x160 0; set x161 0; set x162 0; set x163 0; + set x164 0; set x165 0; set x166 0; set x167 0; + set x168 0; set x169 0; set x170 0; set x171 0; + set x172 0; set x173 0; set x174 0; set x175 0; + set x176 0; set x177 0; set x178 0; set x179 0; + set x180 0; set x181 0; set x182 0; set x183 0; + set x184 0; set x185 0; set x186 0; set x187 0; + set x188 0; set x189 0; set x190 0; set x191 0; + set x192 0; set x193 0; set x194 0; set x195 0; + set x196 0; set x197 0; set x198 0; set x199 0; + set x200 0; set x201 0; set x202 0; set x203 0; + set x204 0; set x205 0; set x206 0; set x207 0; + set x208 0; set x209 0; set x210 0; set x211 0; + set x212 0; set x213 0; set x214 0; set x215 0; + set x216 0; set x217 0; set x218 0; set x219 0; + set x220 0; set x221 0; set x222 0; set x223 0; + set x224 0; set x225 0; set x226 0; set x227 0; + set x228 0; set x229 0; set x230 0; set x231 0; + set x232 0; set x233 0; set x234 0; set x235 0; + set x236 0; set x237 0; set x238 0; set x239 0; + set x240 0; set x241 0; set x242 0; set x243 0; + set x244 0; set x245 0; set x246 0; set x247 0; + set x248 0; set x249 0; set x250 0; set x251 0; set x252 0; set x253 0; set x254 0; set x255 0; set x {{1 2} {3 4}} lset x 1 1 5 @@ -338,69 +338,69 @@ test lsetComp-3.6 {lset, compiled, flat args, array, one-byte offset} { test lsetComp-3.7 {lset, compiled, flat args, array, four-byte offset} { evalInProc { - set x0 0; set x1 0; set x2 0; set x3 0; - set x4 0; set x5 0; set x6 0; set x7 0; - set x8 0; set x9 0; set x10 0; set x11 0; - set x12 0; set x13 0; set x14 0; set x15 0; - set x16 0; set x17 0; set x18 0; set x19 0; - set x20 0; set x21 0; set x22 0; set x23 0; - set x24 0; set x25 0; set x26 0; set x27 0; - set x28 0; set x29 0; set x30 0; set x31 0; - set x32 0; set x33 0; set x34 0; set x35 0; - set x36 0; set x37 0; set x38 0; set x39 0; - set x40 0; set x41 0; set x42 0; set x43 0; - set x44 0; set x45 0; set x46 0; set x47 0; - set x48 0; set x49 0; set x50 0; set x51 0; - set x52 0; set x53 0; set x54 0; set x55 0; - set x56 0; set x57 0; set x58 0; set x59 0; - set x60 0; set x61 0; set x62 0; set x63 0; - set x64 0; set x65 0; set x66 0; set x67 0; - set x68 0; set x69 0; set x70 0; set x71 0; - set x72 0; set x73 0; set x74 0; set x75 0; - set x76 0; set x77 0; set x78 0; set x79 0; - set x80 0; set x81 0; set x82 0; set x83 0; - set x84 0; set x85 0; set x86 0; set x87 0; - set x88 0; set x89 0; set x90 0; set x91 0; - set x92 0; set x93 0; set x94 0; set x95 0; - set x96 0; set x97 0; set x98 0; set x99 0; - set x100 0; set x101 0; set x102 0; set x103 0; - set x104 0; set x105 0; set x106 0; set x107 0; - set x108 0; set x109 0; set x110 0; set x111 0; - set x112 0; set x113 0; set x114 0; set x115 0; - set x116 0; set x117 0; set x118 0; set x119 0; - set x120 0; set x121 0; set x122 0; set x123 0; - set x124 0; set x125 0; set x126 0; set x127 0; - set x128 0; set x129 0; set x130 0; set x131 0; - set x132 0; set x133 0; set x134 0; set x135 0; - set x136 0; set x137 0; set x138 0; set x139 0; - set x140 0; set x141 0; set x142 0; set x143 0; - set x144 0; set x145 0; set x146 0; set x147 0; - set x148 0; set x149 0; set x150 0; set x151 0; - set x152 0; set x153 0; set x154 0; set x155 0; - set x156 0; set x157 0; set x158 0; set x159 0; - set x160 0; set x161 0; set x162 0; set x163 0; - set x164 0; set x165 0; set x166 0; set x167 0; - set x168 0; set x169 0; set x170 0; set x171 0; - 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Tcl_Main: interactive mode: delete interp + Tcl_Main: interactive mode: delete interp -> main loop & exit handlers, but no [exit] } -constraints { exec Tcltest diff --git a/tests/misc.test b/tests/misc.test index d4ece74..db8b14a 100644 --- a/tests/misc.test +++ b/tests/misc.test @@ -25,7 +25,7 @@ testConstraint testhashsystemhash [llength [info commands testhashsystemhash]] test misc-1.1 {error in variable ref. in command in array reference} { proc tstProc {} { global a - + set tst $a([winfo name $zz]) # this is a bogus comment # this is a bogus comment @@ -42,7 +42,7 @@ test misc-1.1 {error in variable ref. in command in array reference} { test misc-1.2 {error in variable ref. in command in array reference} { proc tstProc {} " global a - + set tst \$a(\[winfo name \$\{zz) # this is a bogus comment # this is a bogus comment diff --git a/tests/msgcat.test b/tests/msgcat.test index 8647f9c..f50ebfb 100644 --- a/tests/msgcat.test +++ b/tests/msgcat.test @@ -51,7 +51,7 @@ namespace eval ::msgcat::test { variable body variable result variable setVars - foreach setVars [PowerSet $envVars] { + foreach setVars [PowerSet $envVars] { set result [string tolower [lindex $setVars 0]] if {[string length $result] == 0} { if {[info exists ::tcl::mac::locale]} { @@ -93,7 +93,7 @@ namespace eval ::msgcat::test { incr count } unset -nocomplain result - + # Could add tests of initialization from Windows registry here. # Use a fake registry package. @@ -293,11 +293,11 @@ namespace eval ::msgcat::test { variable count 2 variable result array set result { - foo,ov0 ov0_ROOT foo,ov1 ov1_foo foo,ov2 ov2_foo + foo,ov0 ov0_ROOT foo,ov1 ov1_foo foo,ov2 ov2_foo foo,ov3 ov3_foo foo,ov4 ov4 - foo_BAR,ov0 ov0_ROOT foo_BAR,ov1 ov1_foo foo_BAR,ov2 ov2_foo_BAR - foo_BAR,ov3 ov3_foo_BAR foo_BAR,ov4 ov4 - foo_BAR_baz,ov0 ov0_ROOT foo_BAR_baz,ov1 ov1_foo + foo_BAR,ov0 ov0_ROOT foo_BAR,ov1 ov1_foo foo_BAR,ov2 ov2_foo_BAR + foo_BAR,ov3 ov3_foo_BAR foo_BAR,ov4 ov4 + foo_BAR_baz,ov0 ov0_ROOT foo_BAR_baz,ov1 ov1_foo foo_BAR_baz,ov2 ov2_foo_BAR foo_BAR_baz,ov3 ov3_foo_BAR_baz foo_BAR_baz,ov4 ov4 } @@ -416,12 +416,12 @@ namespace eval ::msgcat::test { variable locale [mclocale] ::msgcat::mclocale "" ::msgcat::mcloadedlocales clear - ::msgcat::mcpackageconfig unset mcfolder + ::msgcat::mcpackageconfig unset mcfolder mclocale $loc } -cleanup { mclocale $locale ::msgcat::mcloadedlocales clear - ::msgcat::mcpackageconfig unset mcfolder + ::msgcat::mcpackageconfig unset mcfolder } -body { mcload $msgdir } -result [expr { $count+1 }] @@ -436,7 +436,7 @@ namespace eval ::msgcat::test { } -cleanup { mclocale $locale mcloadedlocales clear - mcpackageconfig unset mcfolder + mcpackageconfig unset mcfolder } -body { mcload $msgdir } -result 3 @@ -447,7 +447,7 @@ namespace eval ::msgcat::test { } -cleanup { mclocale $locale mcloadedlocales clear - mcpackageconfig unset mcfolder + mcpackageconfig unset mcfolder } -body { mcload $msgdir } -result 1 @@ -516,7 +516,7 @@ namespace eval ::msgcat::test { } -cleanup { mclocale $locale mcloadedlocales clear - mcpackageconfig unset mcfolder + mcpackageconfig unset mcfolder } -body { mclocale foo mcpackageconfig set mcfolder $msgdir @@ -535,7 +535,7 @@ namespace eval ::msgcat::test { # Tests msgcat-6.*: [mcset], [mc] namespace inheritance # # Test mcset and mc, ensuring that resolution for messages -# proceeds from the current ns to its parent and so on to the +# proceeds from the current ns to its parent and so on to the # global ns. # # Do this for the 12 permutations of @@ -579,7 +579,7 @@ namespace eval ::msgcat::test { ::msgcat::mcset foo ov3 "ov3_foo_bar_baz" } } - + } variable locale [mclocale] mclocale foo @@ -688,12 +688,12 @@ namespace eval ::msgcat::test { mcexists } -returnCodes 1\ -result {wrong # args: should be "mcexists ?-exactnamespace? ?-exactlocale? src"} - + test msgcat-9.2 {mcexists unknown option} -body { - mcexists -unknown src + mcexists -unknown src } -returnCodes 1\ -result {unknown option "-unknown"} - + test msgcat-9.3 {mcexists} -setup { mcforgetpackage variable locale [mclocale] @@ -715,7 +715,7 @@ namespace eval ::msgcat::test { } -body { list [mcexists k1] [mcexists -exactlocale k1] } -result {1 0} - + test msgcat-9.5 {mcexists parent namespace} -setup { mcforgetpackage variable locale [mclocale] @@ -729,19 +729,19 @@ namespace eval ::msgcat::test { [::msgcat::mcexists -exactnamespace k1] } } -result {1 0} - + # Tests msgcat-10.*: [mcloadedlocales] test msgcat-10.1 {mcloadedlocales no arg} -body { mcloadedlocales } -returnCodes 1\ -result {wrong # args: should be "mcloadedlocales subcommand"} - + test msgcat-10.2 {mcloadedlocales wrong subcommand} -body { mcloadedlocales junk } -returnCodes 1\ -result {unknown subcommand "junk": must be clear, or loaded} - + test msgcat-10.3 {mcloadedlocales loaded} -setup { mcforgetpackage variable locale [mclocale] @@ -754,7 +754,7 @@ namespace eval ::msgcat::test { # The result is position independent so sort set resultlist [lsort [mcloadedlocales loaded]] } -result {{} foo foo_bar} - + test msgcat-10.4 {mcloadedlocales clear} -setup { mcforgetpackage variable locale [mclocale] @@ -960,9 +960,9 @@ namespace eval ::msgcat::test { } -result {0 0 1 0} # option mcfolder is already tested with 5.11 - + # Tests msgcat-14.*: callbacks: loadcmd, changecmd, unknowncmd - + # This routine is used as bgerror and by direct callback invocation proc callbackproc args { variable resultvariable @@ -973,7 +973,7 @@ namespace eval ::msgcat::test { } set bgerrorsaved [interp bgerror {}] interp bgerror {} [namespace code callbackproc] - + test msgcat-14.1 {invokation loadcmd} -setup { mcforgetpackage mclocale $locale diff --git a/tests/namespace.test b/tests/namespace.test index cded1f4..47c8001 100644 --- a/tests/namespace.test +++ b/tests/namespace.test @@ -56,7 +56,7 @@ test namespace-2.2 {Tcl_GetCurrentNamespace} { test namespace-3.1 {Tcl_GetGlobalNamespace} { namespace eval test_ns_1 {namespace eval foo {namespace eval bar {} } } - # namespace children uses Tcl_GetGlobalNamespace + # namespace children uses Tcl_GetGlobalNamespace namespace eval test_ns_1 {namespace children foo b*} } {::test_ns_1::foo::bar} @@ -106,7 +106,7 @@ test namespace-6.2 {Tcl_CreateNamespace, odd number of :'s in name is okay} { [namespace eval test_ns_2:::::foo {namespace current}] } {::test_ns_1::foo ::test_ns_2::foo} test namespace-6.3 {Tcl_CreateNamespace, trailing ::s in ns name are ignored} { - list [catch {namespace eval test_ns_7::: {namespace current}} msg] $msg + list [catch {namespace eval test_ns_7::: {namespace current}} msg] $msg } {0 ::test_ns_7} test namespace-6.4 {Tcl_CreateNamespace, trailing ::s in ns name are ignored} { catch {namespace delete {*}[namespace children :: test_ns_*]} @@ -264,7 +264,7 @@ test namespace-8.5 {TclTeardownNamespace: preserve errorInfo; errorCode values} invoked from within "slave eval error foo bar baz"} test namespace-8.6 {TclTeardownNamespace: preserve errorInfo; errorCode values} { - interp create slave + interp create slave slave eval {trace add variable errorCode write {namespace delete :: ;#}} catch {slave eval error foo bar baz} interp delete slave @@ -971,17 +971,17 @@ test namespace-22.5 {NamespaceCodeCmd, in other namespace} { namespace code cmd } } {::namespace inscope ::test_ns_1 cmd} -test namespace-22.6 {NamespaceCodeCmd, in other namespace} { - namespace eval test_ns_1 { - variable v 42 - } - namespace eval test_ns_2 { - proc namespace args {} - } - namespace eval test_ns_2 [namespace eval test_ns_1 { - namespace code {set v} - }] -} {42} +test namespace-22.6 {NamespaceCodeCmd, in other namespace} { + namespace eval test_ns_1 { + variable v 42 + } + namespace eval test_ns_2 { + proc namespace args {} + } + namespace eval test_ns_2 [namespace eval test_ns_1 { + namespace code {set v} + }] +} {42} test namespace-22.7 {NamespaceCodeCmd, Bug 3202171} { namespace eval demo { proc namespace args {puts $args} @@ -1449,7 +1449,7 @@ test namespace-40.1 {Ignoring namespace proc "unknown"} -setup { namespace eval ns {proc unknown args {return local}} list [namespace eval ns aaa bbb] [namespace eval ns aaa] } -cleanup { - rename unknown {} + rename unknown {} rename _unknown unknown namespace delete ns } -result {global global} @@ -1460,7 +1460,7 @@ test namespace-41.1 {Shadowing byte-compiled commands, Bug: 231259} { set res {} proc test {} { set ::g 0 - } + } lappend ::res [test] proc set {a b} { ::set a [incr b] diff --git a/tests/nre.test b/tests/nre.test index 9df5eb1..3313df5 100644 --- a/tests/nre.test +++ b/tests/nre.test @@ -29,9 +29,9 @@ if {[testConstraint testnrelevels]} { namespace path ::tcl::mathop # # [testnrelevels] returns a 6-list with: C-stack depth, iPtr->numlevels, - # cmdFrame level, callFrame level, tosPtr and callback depth + # cmdFrame level, callFrame level, tosPtr and callback depth # - variable last [testnrelevels] + variable last [testnrelevels] proc depthDiff {} { variable last set depth [testnrelevels] @@ -327,7 +327,7 @@ test nre-8.1 {nre and {*}} -body { } -cleanup { rename inner {} rename outer {} -} -result {1 1 1} +} -result {1 1 1} test nre-8.2 {nre and {*}, [Bug 2415422]} -body { # force an expansion that grows the evaluation stack, check that nre # adapts the bcFramePtr. This causes an NRE assertion to fail if it is not diff --git a/tests/obj.test b/tests/obj.test index 151abfb..7bf00f7 100644 --- a/tests/obj.test +++ b/tests/obj.test @@ -26,7 +26,7 @@ testConstraint wideBiggerThanInt [expr {wide(0x80000000) != int(0x80000000)}] test obj-1.1 {Tcl_AppendAllObjTypes, and InitTypeTable, Tcl_RegisterObjType} testobj { set r 1 foreach {t} { - {array search} + {array search} bytearray bytecode cmdName @@ -82,7 +82,7 @@ test obj-6.1 {Tcl_DuplicateObj, object has internal rep} testobj { set result "" lappend result [testobj freeallvars] lappend result [testintobj set 1 47] - lappend result [testobj duplicate 1 2] + lappend result [testobj duplicate 1 2] lappend result [testintobj get 2] lappend result [testobj refcount 1] lappend result [testobj refcount 2] @@ -91,7 +91,7 @@ test obj-6.2 {Tcl_DuplicateObj, "empty string" object} testobj { set result "" lappend result [testobj freeallvars] lappend result [testobj newobj 1] - lappend result [testobj duplicate 1 2] + lappend result [testobj duplicate 1 2] lappend result [testintobj get 2] lappend result [testobj refcount 1] lappend result [testobj refcount 2] diff --git a/tests/oo.test b/tests/oo.test index 895f7ed..9491f78 100644 --- a/tests/oo.test +++ b/tests/oo.test @@ -280,7 +280,7 @@ test oo-1.18.2 {Bug 21c144f0f5} -setup { } } -cleanup { interp delete slave -} +} test oo-1.19 {basic test of OO functionality: teardown order} -body { oo::object create o namespace delete [info object namespace o] @@ -1989,7 +1989,7 @@ test oo-15.10 {variable binding must not bleed through oo::copy} -setup { } -body { set obj1 [FooClass new] oo::objdefine $obj1 { - variable var + variable var method m {} { set var foo } @@ -2619,7 +2619,7 @@ test oo-20.10 {OO: variable and varname methods refer to same things} -setup { test oo-20.11 {OO: variable mustn't crash when recursing} -body { oo::class create A { constructor {name} { - my variable np_name + my variable np_name set np_name $name } method copy {nm} { @@ -2634,7 +2634,7 @@ test oo-20.11 {OO: variable mustn't crash when recursing} -body { lappend objs [$ref copy {}] } $cpy prop $var $objs - } else { + } else { $cpy prop $var $val } } diff --git a/tests/parse.test b/tests/parse.test index d73c725..287c392 100644 --- a/tests/parse.test +++ b/tests/parse.test @@ -369,7 +369,7 @@ test parse-8.8 {Tcl_EvalObjv procedure, async handlers} -constraints { variable ::aresult variable ::acode proc async1 {result code} { - variable ::aresult + variable ::aresult variable ::acode set aresult $result set acode $code diff --git a/tests/parseExpr.test b/tests/parseExpr.test index ef05454..fda25b7 100644 --- a/tests/parseExpr.test +++ b/tests/parseExpr.test @@ -768,11 +768,11 @@ test parseExpr-21.8 {error messages} -body { expr {0o8x} } -returnCodes error -match glob -result {*invalid octal number*} test parseExpr-21.9 {error messages} -body { - expr {"} + expr {"} } -returnCodes error -result {missing " in expression """} test parseExpr-21.10 {error messages} -body { - expr \{ + expr \{ } -returnCodes error -result "missing close-brace in expression \"\{\"" test parseExpr-21.11 {error messages} -body { diff --git a/tests/pkgMkIndex.test b/tests/pkgMkIndex.test index 84c82ce..8ff806c 100644 --- a/tests/pkgMkIndex.test +++ b/tests/pkgMkIndex.test @@ -231,7 +231,7 @@ proc pkgtest::runCreatedIndex {rv args} { set result [list 0 [makePkgList [parseIndex $idxFile]]] } err]} { set result [list 1 $err] - } + } file delete $idxFile } else { set result $rv diff --git a/tests/platform.test b/tests/platform.test index c826444..5838a41 100644 --- a/tests/platform.test +++ b/tests/platform.test @@ -51,12 +51,12 @@ test platform-2.1 {tcl_platform(wordSize) indicates size of native word} { test platform-3.1 {CPU ID on Windows/UNIX} \ -constraints testCPUID \ - -body { + -body { set cpudata [testcpuid 0] binary format iii \ [lindex $cpudata 1] \ [lindex $cpudata 3] \ - [lindex $cpudata 2] + [lindex $cpudata 2] } \ -match regexp \ -result {^(?:AuthenticAMD|CentaurHauls|CyrixInstead|GenuineIntel)$} diff --git a/tests/proc.test b/tests/proc.test index e06720e..bae5e15 100644 --- a/tests/proc.test +++ b/tests/proc.test @@ -99,7 +99,7 @@ test proc-1.6 {Tcl_ProcObjCmd, namespace code ignores single ":"s in middle or e test proc-1.7 {Tcl_ProcObjCmd, check that formal parameter names are not array elements} -setup { catch {rename p ""} } -returnCodes error -body { - proc p {a(1) a(2)} { + proc p {a(1) a(2)} { set z [expr $a(1)+$a(2)] puts "$z=z, $a(1)=$a(1)" } @@ -107,7 +107,7 @@ test proc-1.7 {Tcl_ProcObjCmd, check that formal parameter names are not array e test proc-1.8 {Tcl_ProcObjCmd, check that formal parameter names are simple names} -setup { catch {rename p ""} } -body { - proc p {b:a b::a} { + proc p {b:a b::a} { } } -returnCodes error -result {formal parameter "b::a" is not a simple name} @@ -329,7 +329,7 @@ test proc-5.1 {Bytecompiling noop; test for correct argument substitution} -body } -cleanup { catch {rename p ""} catch {rename t ""} -} -result {aba} +} -result {aba} test proc-6.1 {ProcessProcResultCode: Bug 647307 (negative return code)} -body { proc a {} {return -code -5} diff --git a/tests/reg.test b/tests/reg.test index d040632..b9dc538 100644 --- a/tests/reg.test +++ b/tests/reg.test @@ -49,9 +49,9 @@ catch [list package require -exact Tcltest [info patchlevel]] # subexpressions, checking where empty substrings are located, # etc. should be done using expectIndices and expectPartial. -# The flag characters are complex and a bit eclectic. Generally speaking, +# The flag characters are complex and a bit eclectic. Generally speaking, # lowercase letters are compile options, uppercase are expected re_info -# bits, and nonalphabetics are match options, controls for how the test is +# bits, and nonalphabetics are match options, controls for how the test is # run, or testing options. The one small surprise is that AREs are the # default, and you must explicitly request lesser flavors of RE. The flags # are as follows. It is admitted that some are not very mnemonic. @@ -311,7 +311,7 @@ namespace eval RETest { # match expected (full fanciness) # expectIndices testno flags re target mat submat ... proc expectIndices {args} { - MatchExpected -indices {*}$args + MatchExpected -indices {*}$args } # partial match expected diff --git a/tests/regexp.test b/tests/regexp.test index 9fff262..4ffdbdb 100644 --- a/tests/regexp.test +++ b/tests/regexp.test @@ -480,7 +480,7 @@ test regexp-11.12 {regsub without final variable name returns value} { } {a,bcd,c,ea,bcfd,cf,e} # This test crashes on the Mac unless you increase the Stack Space to about 1 -# Meg. This is probably bigger than most users want... +# Meg. This is probably bigger than most users want... # 8.2.3 regexp reduced stack space requirements, but this should be # tested again test regexp-12.1 {Tcl_RegExpExec: large number of subexpressions} {macCrash} { @@ -742,10 +742,10 @@ test regexp-19.2 {regsub null replacement} { test regexp-20.1 {regsub shared object shimmering} { # Bug #461322 - set a abcdefghijklmnopqurstuvwxyz - set b $a - set c abcdefghijklmnopqurstuvwxyz0123456789 - regsub $a $c $b d + set a abcdefghijklmnopqurstuvwxyz + set b $a + set c abcdefghijklmnopqurstuvwxyz0123456789 + regsub $a $c $b d list $d [string length $d] [string bytelength $d] } [list abcdefghijklmnopqurstuvwxyz0123456789 37 37] test regexp-20.2 {regsub shared object shimmering with -about} { diff --git a/tests/regexpComp.test b/tests/regexpComp.test index 01ef06d..b8e64b6 100644 --- a/tests/regexpComp.test +++ b/tests/regexpComp.test @@ -22,7 +22,7 @@ if {[lsearch [namespace children] ::tcltest] == -1} { proc evalInProc { script } { proc testProc {} $script set status [catch { - testProc + testProc } result] rename testProc {} return $result @@ -607,7 +607,7 @@ test regexpComp-11.8 {regsub errors, -start bad int check} { } {1 {bad index "bogus": must be integer?[+-]integer? or end?[+-]integer?}} # This test crashes on the Mac unless you increase the Stack Space to about 1 -# Meg. This is probably bigger than most users want... +# Meg. This is probably bigger than most users want... # 8.2.3 regexp reduced stack space requirements, but this should be # tested again test regexpComp-12.1 {Tcl_RegExpExec: large number of subexpressions} {macCrash} { @@ -794,10 +794,10 @@ test regexpComp-19.1 {regsub null replacement} { test regexpComp-20.1 {regsub shared object shimmering} { evalInProc { # Bug #461322 - set a abcdefghijklmnopqurstuvwxyz - set b $a - set c abcdefghijklmnopqurstuvwxyz0123456789 - regsub $a $c $b d + set a abcdefghijklmnopqurstuvwxyz + set b $a + set c abcdefghijklmnopqurstuvwxyz0123456789 + regsub $a $c $b d list $d [string length $d] [string bytelength $d] } } [list abcdefghijklmnopqurstuvwxyz0123456789 37 37] diff --git a/tests/set-old.test b/tests/set-old.test index 94b6901..0e9ca63 100644 --- a/tests/set-old.test +++ b/tests/set-old.test @@ -931,7 +931,7 @@ catch {rename foo {}} # cleanup ::tcltest::cleanupTests -return +return # Local Variables: # mode: tcl diff --git a/tests/set.test b/tests/set.test index 18119f5..7e4b864 100644 --- a/tests/set.test +++ b/tests/set.test @@ -536,4 +536,4 @@ catch {unset i} catch {unset x} catch {unset z} ::tcltest::cleanupTests -return +return diff --git a/tests/split.test b/tests/split.test index 778131f..585fef5 100644 --- a/tests/split.test +++ b/tests/split.test @@ -43,7 +43,7 @@ test split-1.8 {basic split commands} { foreach f [split {]\n} {}] { append x $f } - return $x + return $x } foo } {]\n} diff --git a/tests/stack.test b/tests/stack.test index 13bc524..4c50f74 100644 --- a/tests/stack.test +++ b/tests/stack.test @@ -31,7 +31,7 @@ test stack-2.1 {maxNestingDepth reached on infinite recursion} -body { puts $msg } } -result {too many nested evaluations (infinite loop?)} - + # Make sure that there is enough stack to run regexp even if we're # close to the recursion limit. [Bug 947070] [Patch 746378] test stack-3.1 {enough room for regexp near recursion limit} -body { diff --git a/tests/string.test b/tests/string.test index 3611753..418bc61 100644 --- a/tests/string.test +++ b/tests/string.test @@ -219,7 +219,7 @@ test string-4.14 {string first, negative start index} { } 1 test string-4.15 {string first, ability to two-byte encoded utf-8 chars} { # Test for a bug in Tcl 8.3 where test for all-single-byte-encoded - # strings was incorrect, leading to an index returned by [string first] + # strings was incorrect, leading to an index returned by [string first] # which pointed past the end of the string. set uchar \u057e ;# character with two-byte encoding in utf-8 string first % %#$uchar$uchar#$uchar$uchar#% 3 @@ -419,7 +419,7 @@ test string-6.37 {string is double, false on int overflow} -setup { } -result {1 priorValue} # string-6.38 removed, underflow on input is no longer an error. test string-6.39 {string is double, false} { - # This test is non-portable because IRIX thinks + # This test is non-portable because IRIX thinks # that .e1 is a valid double - this is really a bug # on IRIX as .e1 should NOT be a valid double # @@ -1833,7 +1833,7 @@ proc MemStress {args} { set res {} foreach body $args { set end 0 - for {set i 0} {$i < 5} {incr i} { + for {set i 0} {$i < 5} {incr i} { proc MemStress_Body {} $body uplevel 1 MemStress_Body rename MemStress_Body {} diff --git a/tests/stringObj.test b/tests/stringObj.test index 8209142..49f268e 100644 --- a/tests/stringObj.test +++ b/tests/stringObj.test @@ -414,10 +414,10 @@ test stringObj-13.3 {Tcl_GetCharLength with byte-size chars} testobj { list [string length $a] [string length $a] } {6 6} test stringObj-13.4 {Tcl_GetCharLength with mixed width chars} testobj { - string length "\u00ae" + string length "\u00ae" } 1 test stringObj-13.5 {Tcl_GetCharLength with mixed width chars} testobj { - # string length "○○" + # string length "○○" # Use \uXXXX notation below instead of hardcoding the values, otherwise # the test will fail in multibyte locales. string length "\u00EF\u00BF\u00AE\u00EF\u00BF\u00AE" diff --git a/tests/subst.test b/tests/subst.test index 2115772..1f3c22a 100644 --- a/tests/subst.test +++ b/tests/subst.test @@ -91,29 +91,29 @@ test subst-5.4 {command substitutions} { } {1 {invalid command name "bogus_command"}} test subst-5.5 {command substitutions} { set a 0 - list [catch {subst {[set a 1}} msg] $a $msg + list [catch {subst {[set a 1}} msg] $a $msg } {1 0 {missing close-bracket}} test subst-5.6 {command substitutions} { set a 0 - list [catch {subst {0[set a 1}} msg] $a $msg + list [catch {subst {0[set a 1}} msg] $a $msg } {1 0 {missing close-bracket}} test subst-5.7 {command substitutions} { set a 0 - list [catch {subst {0[set a 1; set a 2}} msg] $a $msg + list [catch {subst {0[set a 1; set a 2}} msg] $a $msg } {1 1 {missing close-bracket}} # repeat the tests above simulating cmd line input test subst-5.8 {command substitutions} { set script {[subst {[set a 1}]} - list [catch {exec [info nameofexecutable] << $script} msg] $msg + list [catch {exec [info nameofexecutable] << $script} msg] $msg } {1 {missing close-bracket}} test subst-5.9 {command substitutions} { set script {[subst {0[set a 1}]} - list [catch {exec [info nameofexecutable] << $script} msg] $msg + list [catch {exec [info nameofexecutable] << $script} msg] $msg } {1 {missing close-bracket}} test subst-5.10 {command substitutions} { set script {[subst {0[set a 1; set a 2}]} - list [catch {exec [info nameofexecutable] << $script} msg] $msg + list [catch {exec [info nameofexecutable] << $script} msg] $msg } {1 {missing close-bracket}} test subst-6.1 {clear the result after command substitution} -body { @@ -166,7 +166,7 @@ test subst-8.6 {return in a subst} -returnCodes error -body { subst "foo \[return {x}; bogus code bar" } -result {missing close-bracket} test subst-8.7 {return in a subst, parse error} -body { - subst {foo [return {x} ; set a {}"" ; stuff] bar} + subst {foo [return {x} ; set a {}"" ; stuff] bar} } -returnCodes error -result {extra characters after close-brace} test subst-8.8 {return in a subst, parse error} -body { subst {foo [return {x} ; set bar baz ; set a {}"" ; stuff] bar} diff --git a/tests/tailcall.test b/tests/tailcall.test index 26f3cbf..ce506a7 100644 --- a/tests/tailcall.test +++ b/tests/tailcall.test @@ -28,9 +28,9 @@ if {[testConstraint testnrelevels]} { namespace eval testnre { # # [testnrelevels] returns a 6-list with: C-stack depth, iPtr->numlevels, - # cmdFrame level, callFrame level, tosPtr and callback depth + # cmdFrame level, callFrame level, tosPtr and callback depth # - variable last [testnrelevels] + variable last [testnrelevels] proc depthDiff {} { variable last set depth [testnrelevels] @@ -148,7 +148,7 @@ test tailcall-0.5 {tailcall is constant space} -constraints testnrelevels -setup } -result {0 0 0 0 0 0} test tailcall-0.5.1 {tailcall is constant space} -constraints testnrelevels -setup { - # + # # This test is related to [bug d87cb182053fd79b3]: the fix to that bug was # to remove a call to TclSkipTailcall, which caused a violation of the # constant-space property of tailcall in that particular @@ -245,7 +245,7 @@ test tailcall-1 {tailcall} -body { } variable x *:: proc xset args {error ::xset} - list [::b::moo] | $x $a::x $b::x | $::b::y + list [::b::moo] | $x $a::x $b::x | $::b::y } -cleanup { unset x rename xset {} @@ -619,7 +619,7 @@ test tailcall-12.3a3 {[Bug 2695587]} -body { set x } -cleanup { unset x -} -result {0 1} +} -result {0 1} test tailcall-12.3b0 {[Bug 2695587]} -body { apply {{} { @@ -654,7 +654,7 @@ test tailcall-12.3b3 {[Bug 2695587]} -body { set x } -cleanup { unset x -} -result {0 1} +} -result {0 1} # MORE VARIANTS MISSING: bc'ed caught script vs (bc'ed, not-bc'ed) # catch. Actually superfluous now, as tailcall just returns TCL_RETURN so that diff --git a/tests/tm.test b/tests/tm.test index 1b22f8c..a4dafe0 100644 --- a/tests/tm.test +++ b/tests/tm.test @@ -200,7 +200,7 @@ test tm-3.11 {tm: module path management, remove ignores unknown path} -setup { proc genpaths {base} { # Normalizing picks up drive letters on windows [Bug 1053568] set base [file normalize $base] - lassign [split [package present Tcl] .] major minor + lassign [split [package present Tcl] .] major minor set results {} set base [file join $base tcl$major] lappend results [file join $base site-tcl] diff --git a/tests/trace.test b/tests/trace.test index d830f3c..1099f48 100644 --- a/tests/trace.test +++ b/tests/trace.test @@ -164,30 +164,30 @@ test trace-1.10 {trace variable reads} { } {} test trace-1.11 {read traces that modify the array structure} { unset -nocomplain x - set x(bar) 0 - trace variable x r {set x(foo) 1 ;#} - trace variable x r {unset -nocomplain x(bar) ;#} + set x(bar) 0 + trace variable x r {set x(foo) 1 ;#} + trace variable x r {unset -nocomplain x(bar) ;#} array get x } {} test trace-1.12 {read traces that modify the array structure} { unset -nocomplain x - set x(bar) 0 - trace variable x r {unset -nocomplain x(bar) ;#} - trace variable x r {set x(foo) 1 ;#} + set x(bar) 0 + trace variable x r {unset -nocomplain x(bar) ;#} + trace variable x r {set x(foo) 1 ;#} array get x } {} test trace-1.13 {read traces that modify the array structure} { unset -nocomplain x - set x(bar) 0 - trace variable x r {set x(foo) 1 ;#} - trace variable x r {unset -nocomplain x;#} + set x(bar) 0 + trace variable x r {set x(foo) 1 ;#} + trace variable x r {unset -nocomplain x;#} list [catch {array get x} res] $res } {1 {can't read "x(bar)": no such variable}} test trace-1.14 {read traces that modify the array structure} { unset -nocomplain x - set x(bar) 0 - trace variable x r {unset -nocomplain x;#} - trace variable x r {set x(foo) 1 ;#} + set x(bar) 0 + trace variable x r {unset -nocomplain x;#} + trace variable x r {set x(foo) 1 ;#} list [catch {array get x} res] $res } {1 {can't read "x(bar)": no such variable}} @@ -419,7 +419,7 @@ test trace-5.8 {array traces fire for undefined variables} { trace add variable x array {set x(foo) 1 ;#} set res "names: [array names x]" } {names: foo} - + # Trace multiple trace types at once. test trace-6.1 {multiple ops traced at once} { @@ -767,7 +767,7 @@ test trace-13.1 {delete one trace from another} { trace add variable x read {traceTag 2} trace add variable x read {traceTag 3} trace add variable x read {traceTag 4} - trace add variable x read delTraces + trace add variable x read delTraces trace add variable x read {traceTag 5} set x set info @@ -872,7 +872,7 @@ test trace-14.5 {trace command, invalid option} { } [list 1 "bad option \"gorp\": must be add, info, remove, variable, vdelete, or vinfo"] # Again, [trace ... command] and [trace ... variable] share syntax and -# error message styles for their opList options; these loops test those +# error message styles for their opList options; these loops test those # error messages. set i 0 @@ -2104,7 +2104,7 @@ foo foo 0 1 leave} test trace-28.2 {exec traces with 'error'} { set info {} set res {} - + proc foo {} { if {[catch {bar}]} { return "error" @@ -2126,7 +2126,7 @@ test trace-28.2 {exec traces with 'error'} { trace remove execution foo {enter enterstep leave leavestep} \ [list traceExecute foo] - + list $res [join $info \n] } {{error error} {foo foo enter foo {if {[catch {bar}]} { @@ -2152,7 +2152,7 @@ foo foo 0 error leave}} test trace-28.3 {exec traces with 'return -code error'} { set info {} set res {} - + proc foo {} { if {[catch {bar}]} { return "error" @@ -2174,7 +2174,7 @@ test trace-28.3 {exec traces with 'return -code error'} { trace remove execution foo {enter enterstep leave leavestep} \ [list traceExecute foo] - + list $res [join $info \n] } {{error error} {foo foo enter foo {if {[catch {bar}]} { @@ -2204,7 +2204,7 @@ test trace-28.4 {exec traces in slave with 'return -code error'} { set res [interp eval slave { set info {} set res {} - + proc foo {} { if {[catch {bar}]} { return "error" @@ -2212,21 +2212,21 @@ test trace-28.4 {exec traces in slave with 'return -code error'} { return "ok" } } - + proc bar {} { return -code error "msg" } - + lappend res [foo] - + trace add execution foo {enter enterstep leave leavestep} \ [list traceExecute foo] - + # With the trace active - + lappend res [foo] - + trace remove execution foo {enter enterstep leave leavestep} \ [list traceExecute foo] - + list $res }] interp delete slave @@ -2610,7 +2610,7 @@ test trace-39 {bug #3484621: tracing Bc'ed commands} -setup { proc foo {} { incr ::traceCalls # choose a BC'ed command that is 'unlikely' to interfere with tcltest's - # internals + # internals lset ::bar 1 2 } } -body { @@ -2631,7 +2631,7 @@ test trace-39 {bug #3484621: tracing Bc'ed commands} -setup { rename dotrace {} rename foo {} } -result {3 | 0 1 1} - + test trace-39.1 {bug #3485022: tracing Bc'ed commands} -setup { set ::traceLog 0 set ::traceCalls 0 @@ -2668,7 +2668,7 @@ test trace-40.1 {execution trace errors become command errors} { catch foo m return -level 0 $m[unset m] } bar - + # Delete procedures when done, so we don't clash with other tests # (e.g. foobar will clash with 'unknown' tests). catch {rename foobar {}} diff --git a/tests/unixForkEvent.test b/tests/unixForkEvent.test index 120f362..d7b86fd 100644 --- a/tests/unixForkEvent.test +++ b/tests/unixForkEvent.test @@ -37,7 +37,7 @@ test unixforkevent-1.1 {fork and test writeable event} \ viewFile result.txt $myFolder } \ -result {writable} \ - -cleanup { + -cleanup { catch { removeFolder $myFolder } } diff --git a/tests/unixNotfy.test b/tests/unixNotfy.test index 2f03529..18b967f 100644 --- a/tests/unixNotfy.test +++ b/tests/unixNotfy.test @@ -34,7 +34,7 @@ test unixNotfy-1.1 {Tcl_DeleteFileHandler} -constraints {noTk unix unthreaded} - vwait x close $f list [catch {vwait x} msg] $msg -} -result {1 {can't wait for variable "x": would wait forever}} -cleanup { +} -result {1 {can't wait for variable "x": would wait forever}} -cleanup { catch { close $f } catch { removeFile foo } } @@ -90,7 +90,7 @@ test unixNotfy-2.2 {Tcl_DeleteFileHandler} \ set x } \ -result {ok} \ - -cleanup { + -cleanup { catch { close $f1 } catch { close $f2 } catch { removeFile foo } diff --git a/tests/unknown.test b/tests/unknown.test index e80d3a6..6c31c3d 100644 --- a/tests/unknown.test +++ b/tests/unknown.test @@ -58,7 +58,7 @@ test unknown-4.1 {errors in "unknown" procedure} { catch {rename unknown {}} catch {rename unknown.old unknown} cleanupTests -return +return # Local Variables: # mode: tcl diff --git a/tests/uplevel.test b/tests/uplevel.test index 0410469..3f6b2a8 100644 --- a/tests/uplevel.test +++ b/tests/uplevel.test @@ -138,7 +138,7 @@ test uplevel-7.1 {var access, no LVT in either level} -setup { unset -nocomplain y z } -body { namespace eval foo { - set x 2 + set x 2 set y 2 uplevel 1 { set x 3 @@ -157,7 +157,7 @@ test uplevel-7.2 {var access, no LVT in upper level} -setup { unset -nocomplain y z } -body { proc foo {} { - set x 2 + set x 2 set y 2 uplevel 1 { set x 3 @@ -181,7 +181,7 @@ test uplevel-7.3 {var access, LVT in upper level} -setup { } } -body { proc foo {} { - set x 2 + set x 2 set y 2 uplevel 1 { set x 3 diff --git a/tests/upvar.test b/tests/upvar.test index 5ea870d..476250c 100644 --- a/tests/upvar.test +++ b/tests/upvar.test @@ -477,7 +477,7 @@ test upvar-NS-1.4 {nsupvar links to correct variable} -body { } -returnCodes error -cleanup { namespace delete test_ns_1 } -result {namespace "test_ns_0" not found in "::test_ns_1"} - + test upvar-NS-1.5 {nsupvar links to correct variable} -body { namespace eval test_ns_1 { namespace eval test_ns_0 {} diff --git a/tests/util.test b/tests/util.test index 7782f35..2ac11bf 100644 --- a/tests/util.test +++ b/tests/util.test @@ -208,7 +208,7 @@ test util-4.6 {Tcl_ConcatObj - utf-8 sequence with "whitespace" char} { } \xe0 test util-4.7 {Tcl_ConcatObj - refCount safety} testconcatobj { # Check for Bug #1447328 (actually, bugs in its original "fix"). One of the - # symptoms was Bug #2055782. + # symptoms was Bug #2055782. testconcatobj } {} @@ -566,7 +566,7 @@ test util-9.1.3 {TclGetIntForIndex} { } k test util-9.2.0 {TclGetIntForIndex} { string index abcd end -} d +} d test util-9.2.1 {TclGetIntForIndex} -body { string index abcd { end} } -returnCodes error -match glob -result * @@ -4007,7 +4007,7 @@ test util-17.1 {bankers' rounding [Bug 3349507]} {ieeeFloatingPoint} { } set r } [list {*}{ - 0x43fffffffffffffc 0xc3fffffffffffffc + 0x43fffffffffffffc 0xc3fffffffffffffc 0x43fffffffffffffc 0xc3fffffffffffffc 0x43fffffffffffffd 0xc3fffffffffffffd 0x43fffffffffffffe 0xc3fffffffffffffe diff --git a/tests/var.test b/tests/var.test index b6b09fd..6f90664 100644 --- a/tests/var.test +++ b/tests/var.test @@ -39,7 +39,7 @@ catch {unset arr} test var-1.1 {TclLookupVar, Array handling} -setup { catch {unset a} } -body { - set x "incr" ;# force no compilation and runtime call to Tcl_IncrCmd + set x "incr" ;# force no compilation and runtime call to Tcl_IncrCmd set i 10 set arr(foo) 37 list [$x i] $i [$x arr(foo)] $arr(foo) @@ -216,7 +216,7 @@ test var-3.3 {MakeUpvar, my var has TCL_GLOBAL_ONLY specified} -setup { set a 123321 proc p {} { # create global xx linked to global a - testupvar 1 a {} xx global + testupvar 1 a {} xx global } list [p] $xx [set xx 789] $a } -result {{} 123321 789 789} @@ -228,7 +228,7 @@ test var-3.4 {MakeUpvar, my var has TCL_NAMESPACE_ONLY specified} -setup { catch {unset ::test_ns_var::vv} proc p {} { # create namespace var vv linked to global a - testupvar 1 a {} vv namespace + testupvar 1 a {} vv namespace } p } @@ -516,11 +516,11 @@ test var-7.14 {Tcl_VariableObjCmd, array element parameter} -body { namespace eval test_ns_var { variable arrayvar(1) } } -returnCodes error -result "can't define \"arrayvar(1)\": name refers to an element in an array" test var-7.15 {Tcl_VariableObjCmd, array element parameter} -body { - namespace eval test_ns_var { + namespace eval test_ns_var { variable arrayvar set arrayvar(1) x variable arrayvar(1) y - } + } } -returnCodes error -result "can't define \"arrayvar(1)\": name refers to an element in an array" test var-7.16 {Tcl_VariableObjCmd, no args (TIP 323)} { variable @@ -742,7 +742,7 @@ test var-15.1 {segfault in [unset], [Bug 735335]} { set var $name } # - # Note that the variable name has to be + # Note that the variable name has to be # unused previously for the segfault to # be triggered. # diff --git a/tests/winPipe.test b/tests/winPipe.test index 9c6f94d..8128fe2 100644 --- a/tests/winPipe.test +++ b/tests/winPipe.test @@ -34,14 +34,14 @@ testConstraint testexcept [llength [info commands testexcept]] set big bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb\n append big $big -append big $big +append big $big append big $big append big $big append big $big append big $big set path(little) [makeFile {} little] -set f [open $path(little) w] +set f [open $path(little) w] puts -nonewline $f "little" close $f -- cgit v0.12 From 06d40a2add362702cee3dd03ab5a9b1ae13805b8 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 10 Mar 2016 13:44:44 +0000 Subject: Somewhat more excess spacing in for.test --- tests/for.test | 40 ++++++++++++++++++++-------------------- 1 file changed, 20 insertions(+), 20 deletions(-) diff --git a/tests/for.test b/tests/for.test index 1a65274..8e701d6 100644 --- a/tests/for.test +++ b/tests/for.test @@ -303,35 +303,35 @@ proc formatMail {} { 16 {This page contains information about Tcl 7.6 and Tk4.2, which are the most recent} \ 17 {releases of the Tcl scripting language and the Tk toolkit. The first beta versions of these} \ 18 {releases were released on August 30, 1996. These releases contain only minor changes,} \ - 19 {so we hope to have only a single beta release and to go final in early October, 1996. } \ + 19 {so we hope to have only a single beta release and to go final in early October, 1996.} \ 20 {} \ 21 {} \ - 22 {What's new } \ + 22 {What's new} \ 23 {} \ 24 {The most important changes in the releases are summarized below. See the README} \ 25 {and changes files in the distributions for more complete information on what has} \ - 26 {changed, including both feature changes and bug fixes. } \ + 26 {changed, including both feature changes and bug fixes.} \ 27 {} \ 28 { There are new options to the file command for copying files (file copy),} \ 29 { deleting files and directories (file delete), creating directories (file} \ - 30 { mkdir), and renaming files (file rename). } \ + 30 { mkdir), and renaming files (file rename).} \ 31 { The implementation of exec has been improved greatly for Windows 95 and} \ - 32 { Windows NT. } \ + 32 { Windows NT.} \ 33 { There is a new memory allocator for the Macintosh version, which should be} \ - 34 { more efficient than the old one. } \ + 34 { more efficient than the old one.} \ 35 { Tk's grid geometry manager has been completely rewritten. The layout} \ 36 { algorithm produces much better layouts than before, especially where rows or} \ - 37 { columns were stretchable. } \ + 37 { columns were stretchable.} \ 38 { There are new commands for creating common dialog boxes:} \ 39 { tk_chooseColor, tk_getOpenFile, tk_getSaveFile and} \ - 40 { tk_messageBox. These use native dialog boxes if they are available. } \ + 40 { tk_messageBox. These use native dialog boxes if they are available.} \ 41 { There is a new virtual event mechanism for handling events in a more portable} \ 42 { way. See the new command event. It also allows events (both physical and} \ - 43 { virtual) to be generated dynamically. } \ + 43 { virtual) to be generated dynamically.} \ 44 {} \ 45 {Tcl 7.6 and Tk 4.2 are backwards-compatible with Tcl 7.5 and Tk 4.1 except for} \ 46 {changes in the C APIs for custom channel drivers. Scripts written for earlier releases} \ - 47 {should work on these new releases as well. } \ + 47 {should work on these new releases as well.} \ 48 {} \ 49 {Obtaining The Releases} \ 50 {} \ @@ -342,7 +342,7 @@ proc formatMail {} { 55 { Windows 3.1, Windows 95, and Windows NT: Fetch} \ 56 { ftp://ftp.sunlabs.com/pub/tcl/win42b1.exe, then execute it. The file is a} \ 57 { self-extracting executable. It will install the Tcl and Tk libraries, the wish and} \ - 58 { tclsh programs, and documentation. } \ + 58 { tclsh programs, and documentation.} \ 59 { Macintosh (both 68K and PowerPC): Fetch} \ 60 { ftp://ftp.sunlabs.com/pub/tcl/mactk4.2b1.sea.hqx. The file is in binhex format,} \ 61 { which is understood by Fetch, StuffIt, and many other Mac utilities. The} \ @@ -511,30 +511,30 @@ so we hope to have only a single beta release and to go final in early October, 1996. -What's new +What's new The most important changes in the releases are summariz ed below. See the README and changes files in the distributions for more complet e information on what has -changed, including both feature changes and bug fixes. +changed, including both feature changes and bug fixes. There are new options to the file command for copying files (file copy), deleting files and directories (file delete), creating directories (file - mkdir), and renaming files (file rename). + mkdir), and renaming files (file rename). The implementation of exec has been improved great ly for Windows 95 and - Windows NT. + Windows NT. There is a new memory allocator for the Macintosh version, which should be - more efficient than the old one. + more efficient than the old one. Tk's grid geometry manager has been completely rewritten. The layout algorithm produces much better layouts than before , especially where rows or - columns were stretchable. + columns were stretchable. There are new commands for creating common dialog boxes: tk_chooseColor, tk_getOpenFile, tk_getSaveFile and @@ -544,13 +544,13 @@ they are available. g events in a more portable way. See the new command event. It also allows events (both physical and - virtual) to be generated dynamically. + virtual) to be generated dynamically. Tcl 7.6 and Tk 4.2 are backwards-compatible with Tcl 7.5 and Tk 4.1 except for changes in the C APIs for custom channel drivers. Scrip ts written for earlier releases -should work on these new releases as well. +should work on these new releases as well. Obtaining The Releases @@ -564,7 +564,7 @@ platforms: execute it. The file is a self-extracting executable. It will install the Tcl and Tk libraries, the wish and - tclsh programs, and documentation. + tclsh programs, and documentation. Macintosh (both 68K and PowerPC): Fetch ftp://ftp.sunlabs.com/pub/tcl/mactk4.2b1.sea.hqx. The file is in binhex format, -- cgit v0.12 From 812f825cfcb54b05a3df59e2cb1585af3da47c67 Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 10 Mar 2016 20:03:38 +0000 Subject: [b9b2079e6d] Proposed fix. When a compileProc fails, it may have done an arbitrary amount of partial work, which needs to be undone. When the exception handling machinery got its last big revision, the undoing of what it does was neglected. I think this patch gets it all, but more eyes would be good. --- generic/tclEnsemble.c | 43 +++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 43 insertions(+) diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index 8f7d1a2..986a553 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -3082,6 +3082,11 @@ TclAttemptCompileProc( Tcl_Token *saveTokenPtr = parsePtr->tokenPtr; int savedStackDepth = envPtr->currStackDepth; unsigned savedCodeNext = envPtr->codeNext - envPtr->codeStart; + int savedAuxDataArrayNext = envPtr->auxDataArrayNext; + int savedExceptArrayNext = envPtr->exceptArrayNext; +#ifdef TCL_COMPILE_DEBUG + int savedExceptDepth = envPtr->exceptDepth; +#endif DefineLineInformation; if (cmdPtr->compileProc == NULL) { @@ -3130,7 +3135,45 @@ TclAttemptCompileProc( * we avoid compiling subcommands that recursively call TclCompileScript(). */ +#ifdef TCL_COMPILE_DEBUG + if (envPtr->exceptDepth != savedExceptDepth) { + Tcl_Panic("ExceptionRange Starts and Ends do not balance"); + } +#endif + if (result != TCL_OK) { + ExceptionAux *auxPtr = envPtr->exceptAuxArrayPtr; + + for (i = 0; i < savedExceptArrayNext; i++) { + while (auxPtr->numBreakTargets > 0 + && auxPtr->breakTargets[auxPtr->numBreakTargets - 1] + >= savedCodeNext) { + auxPtr->numBreakTargets--; + } + while (auxPtr->numContinueTargets > 0 + && auxPtr->continueTargets[auxPtr->numContinueTargets - 1] + >= savedCodeNext) { + auxPtr->numContinueTargets--; + } + auxPtr++; + } + envPtr->exceptArrayNext = savedExceptArrayNext; + + if (savedAuxDataArrayNext != envPtr->auxDataArrayNext) { + AuxData *auxDataPtr = envPtr->auxDataArrayPtr; + AuxData *auxDataEnd = auxDataPtr; + + auxDataPtr += savedAuxDataArrayNext; + auxDataEnd += envPtr->auxDataArrayNext; + + while (auxDataPtr < auxDataEnd) { + if (auxDataPtr->type->freeProc != NULL) { + auxDataPtr->type->freeProc(auxDataPtr->clientData); + } + auxDataPtr++; + } + envPtr->auxDataArrayNext = savedAuxDataArrayNext; + } envPtr->currStackDepth = savedStackDepth; envPtr->codeNext = envPtr->codeStart + savedCodeNext; #ifdef TCL_COMPILE_DEBUG -- cgit v0.12 From 8ad967404ac779d2dff31836f295f22ed6fc130c Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 11 Mar 2016 15:00:51 +0000 Subject: New test compile-5.3 for the bug. --- tests/compile.test | 11 +++++++++++ 1 file changed, 11 insertions(+) diff --git a/tests/compile.test b/tests/compile.test index 46e678a..bb12050 100644 --- a/tests/compile.test +++ b/tests/compile.test @@ -224,6 +224,17 @@ test compile-5.2 {TclCompileForeachCmd: non-local variables} { foreach-test set ::foo } 3 +test compile-5.3 {TclCompileForeachCmd: [Bug b9b2079e6d]} -setup { + proc demo {} { + foreach x y { + if 1 break else + } + } +} -body { + demo +} -cleanup { + rename demo {} +} -returnCodes error -result {wrong # args: no script following "else" argument} test compile-6.1 {TclCompileSetCmd: global scalar names with ::s} -setup { catch {unset x} -- cgit v0.12 From b1d25860c469bbaccef10bb6a596fb93d397b2b0 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 11 Mar 2016 15:40:45 +0000 Subject: Simple change gets most of the effect. Fails to handle backslash. anyone care? --- generic/tclCompCmdsGR.c | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/generic/tclCompCmdsGR.c b/generic/tclCompCmdsGR.c index e674fb0..87ed745 100644 --- a/generic/tclCompCmdsGR.c +++ b/generic/tclCompCmdsGR.c @@ -2966,10 +2966,12 @@ IndexTailVarIfKnown( } else { full = 0; lastTokenPtr = varTokenPtr + n; - if (!TclWordKnownAtCompileTime(lastTokenPtr, tailPtr)) { + + if (lastTokenPtr->type != TCL_TOKEN_TEXT) { Tcl_DecrRefCount(tailPtr); return -1; } + Tcl_SetStringObj(tailPtr, lastTokenPtr->start, lastTokenPtr->size); } tailName = TclGetStringFromObj(tailPtr, &len); -- cgit v0.12 From 48a3d3e4dca22efb2981fd8eb9b505b19438a704 Mon Sep 17 00:00:00 2001 From: gahr Date: Fri, 11 Mar 2016 17:13:38 +0000 Subject: [e6f27aa56f] Initial import of libtommath-1.0 This commit brings in libtommath-1.0, as of tag v1.0 of the upstream repository at https://github.com/libtom/libtommath. Only the top-level directory has been imported: the demo, etc, logs, mtest, pics, pre_gen, and tombc directories have been removed from our repo. The stubs tables have been regenerated to accomodate for the new function: mp_expt_d_ex(mp_int *a, mp_digit b, mp_int *c, int fast); See https://github.com/libtom/libtommath/commit/e9b1837 for details. Only the unix build system has been modified for now. Windows and Mac OSX will come later. --- generic/tclStubInit.c | 1 + generic/tclTomMath.decls | 4 + generic/tclTomMath.h | 273 +- generic/tclTomMathDecls.h | 7 + libtommath/LICENSE | 29 +- libtommath/bn.ilg | 6 - libtommath/bn.ind | 82 - libtommath/bn.pdf | Bin 340921 -> 0 bytes libtommath/bn.tex | 508 +- libtommath/bn_error.c | 12 +- libtommath/bn_fast_mp_invmod.c | 20 +- libtommath/bn_fast_mp_montgomery_reduce.c | 32 +- libtommath/bn_fast_s_mp_mul_digs.c | 16 +- libtommath/bn_fast_s_mp_mul_high_digs.c | 10 +- libtommath/bn_fast_s_mp_sqr.c | 10 +- libtommath/bn_mp_2expt.c | 12 +- libtommath/bn_mp_abs.c | 8 +- libtommath/bn_mp_add.c | 8 +- libtommath/bn_mp_add_d.c | 12 +- libtommath/bn_mp_addmod.c | 8 +- libtommath/bn_mp_and.c | 8 +- libtommath/bn_mp_clamp.c | 10 +- libtommath/bn_mp_clear.c | 8 +- libtommath/bn_mp_clear_multi.c | 8 +- libtommath/bn_mp_cmp.c | 8 +- libtommath/bn_mp_cmp_d.c | 8 +- libtommath/bn_mp_cmp_mag.c | 8 +- libtommath/bn_mp_cnt_lsb.c | 12 +- libtommath/bn_mp_copy.c | 10 +- libtommath/bn_mp_count_bits.c | 8 +- libtommath/bn_mp_div.c | 81 +- libtommath/bn_mp_div_2.c | 10 +- libtommath/bn_mp_div_2d.c | 10 +- libtommath/bn_mp_div_3.c | 8 +- libtommath/bn_mp_div_d.c | 19 +- libtommath/bn_mp_dr_is_modulus.c | 8 +- libtommath/bn_mp_dr_reduce.c | 16 +- libtommath/bn_mp_dr_setup.c | 8 +- libtommath/bn_mp_exch.c | 8 +- libtommath/bn_mp_expt_d.c | 43 +- libtommath/bn_mp_exptmod.c | 10 +- libtommath/bn_mp_exptmod_fast.c | 19 +- libtommath/bn_mp_exteuclid.c | 16 +- libtommath/bn_mp_fread.c | 8 +- libtommath/bn_mp_fwrite.c | 8 +- libtommath/bn_mp_gcd.c | 10 +- libtommath/bn_mp_get_int.c | 16 +- libtommath/bn_mp_grow.c | 8 +- libtommath/bn_mp_init.c | 8 +- libtommath/bn_mp_init_copy.c | 10 +- libtommath/bn_mp_init_multi.c | 10 +- libtommath/bn_mp_init_set.c | 8 +- libtommath/bn_mp_init_set_int.c | 8 +- libtommath/bn_mp_init_size.c | 8 +- libtommath/bn_mp_invmod.c | 16 +- libtommath/bn_mp_invmod_slow.c | 22 +- libtommath/bn_mp_is_square.c | 22 +- libtommath/bn_mp_jacobi.c | 44 +- libtommath/bn_mp_karatsuba_mul.c | 12 +- libtommath/bn_mp_karatsuba_sqr.c | 12 +- libtommath/bn_mp_lcm.c | 8 +- libtommath/bn_mp_lshd.c | 14 +- libtommath/bn_mp_mod.c | 16 +- libtommath/bn_mp_mod_2d.c | 10 +- libtommath/bn_mp_mod_d.c | 8 +- libtommath/bn_mp_montgomery_calc_normalization.c | 10 +- libtommath/bn_mp_montgomery_reduce.c | 28 +- libtommath/bn_mp_montgomery_setup.c | 18 +- libtommath/bn_mp_mul.c | 15 +- libtommath/bn_mp_mul_2.c | 12 +- libtommath/bn_mp_mul_2d.c | 16 +- libtommath/bn_mp_mul_d.c | 12 +- libtommath/bn_mp_mulmod.c | 8 +- libtommath/bn_mp_n_root.c | 118 +- libtommath/bn_mp_neg.c | 8 +- libtommath/bn_mp_or.c | 8 +- libtommath/bn_mp_prime_fermat.c | 8 +- libtommath/bn_mp_prime_is_divisible.c | 8 +- libtommath/bn_mp_prime_is_prime.c | 10 +- libtommath/bn_mp_prime_miller_rabin.c | 12 +- libtommath/bn_mp_prime_next_prime.c | 18 +- libtommath/bn_mp_prime_rabin_miller_trials.c | 8 +- libtommath/bn_mp_prime_random_ex.c | 21 +- libtommath/bn_mp_radix_size.c | 35 +- libtommath/bn_mp_radix_smap.c | 8 +- libtommath/bn_mp_rand.c | 12 +- libtommath/bn_mp_read_radix.c | 25 +- libtommath/bn_mp_read_signed_bin.c | 8 +- libtommath/bn_mp_read_unsigned_bin.c | 18 +- libtommath/bn_mp_reduce.c | 22 +- libtommath/bn_mp_reduce_2k.c | 28 +- libtommath/bn_mp_reduce_2k_l.c | 30 +- libtommath/bn_mp_reduce_2k_setup.c | 8 +- libtommath/bn_mp_reduce_2k_setup_l.c | 8 +- libtommath/bn_mp_reduce_is_2k.c | 8 +- libtommath/bn_mp_reduce_is_2k_l.c | 8 +- libtommath/bn_mp_reduce_setup.c | 8 +- libtommath/bn_mp_rshd.c | 10 +- libtommath/bn_mp_set.c | 8 +- libtommath/bn_mp_set_int.c | 8 +- libtommath/bn_mp_shrink.c | 11 +- libtommath/bn_mp_signed_bin_size.c | 8 +- libtommath/bn_mp_sqr.c | 18 +- libtommath/bn_mp_sqrmod.c | 8 +- libtommath/bn_mp_sqrt.c | 9 +- libtommath/bn_mp_sub.c | 8 +- libtommath/bn_mp_sub_d.c | 16 +- libtommath/bn_mp_submod.c | 8 +- libtommath/bn_mp_to_signed_bin.c | 10 +- libtommath/bn_mp_to_signed_bin_n.c | 8 +- libtommath/bn_mp_to_unsigned_bin.c | 10 +- libtommath/bn_mp_to_unsigned_bin_n.c | 8 +- libtommath/bn_mp_toom_mul.c | 276 +- libtommath/bn_mp_toom_sqr.c | 212 +- libtommath/bn_mp_toradix.c | 14 +- libtommath/bn_mp_toradix_n.c | 12 +- libtommath/bn_mp_unsigned_bin_size.c | 10 +- libtommath/bn_mp_xor.c | 8 +- libtommath/bn_mp_zero.c | 8 +- libtommath/bn_prime_tab.c | 8 +- libtommath/bn_reverse.c | 8 +- libtommath/bn_s_mp_add.c | 14 +- libtommath/bn_s_mp_exptmod.c | 14 +- libtommath/bn_s_mp_mul_digs.c | 20 +- libtommath/bn_s_mp_mul_high_digs.c | 16 +- libtommath/bn_s_mp_sqr.c | 18 +- libtommath/bn_s_mp_sub.c | 18 +- libtommath/bncore.c | 8 +- libtommath/booker.pl | 68 +- libtommath/callgraph.txt | 18653 +++++++++++---------- libtommath/changes.txt | 45 +- libtommath/demo/demo.c | 736 - libtommath/demo/timing.c | 315 - libtommath/dep.pl | 2 +- libtommath/etc/2kprime.1 | 2 - libtommath/etc/2kprime.c | 75 - libtommath/etc/drprime.c | 59 - libtommath/etc/drprimes.28 | 25 - libtommath/etc/drprimes.txt | 9 - libtommath/etc/makefile | 50 - libtommath/etc/makefile.icc | 67 - libtommath/etc/makefile.msvc | 23 - libtommath/etc/mersenne.c | 140 - libtommath/etc/mont.c | 41 - libtommath/etc/pprime.c | 396 - libtommath/etc/prime.1024 | 414 - libtommath/etc/prime.512 | 205 - libtommath/etc/timer.asm | 37 - libtommath/etc/tune.c | 138 - libtommath/gen.pl | 4 +- libtommath/logs/README | 13 - libtommath/logs/add.log | 16 - libtommath/logs/addsub.png | Bin 6253 -> 0 bytes libtommath/logs/expt.log | 7 - libtommath/logs/expt.png | Bin 6604 -> 0 bytes libtommath/logs/expt_2k.log | 5 - libtommath/logs/expt_2kl.log | 4 - libtommath/logs/expt_dr.log | 7 - libtommath/logs/graphs.dem | 17 - libtommath/logs/index.html | 24 - libtommath/logs/invmod.log | 0 libtommath/logs/invmod.png | Bin 4917 -> 0 bytes libtommath/logs/mult.log | 84 - libtommath/logs/mult.png | Bin 6769 -> 0 bytes libtommath/logs/mult_kara.log | 84 - libtommath/logs/sqr.log | 84 - libtommath/logs/sqr_kara.log | 84 - libtommath/logs/sub.log | 16 - libtommath/makefile | 217 +- libtommath/makefile.bcc | 56 +- libtommath/makefile.cygwin_dll | 62 +- libtommath/makefile.icc | 71 +- libtommath/makefile.msvc | 54 +- libtommath/makefile.shared | 137 +- libtommath/mtest/logtab.h | 19 - libtommath/mtest/mpi-config.h | 85 - libtommath/mtest/mpi-types.h | 15 - libtommath/mtest/mpi.c | 3979 ----- libtommath/mtest/mpi.h | 225 - libtommath/mtest/mtest.c | 304 - libtommath/pics/design_process.sxd | Bin 6950 -> 0 bytes libtommath/pics/design_process.tif | Bin 79042 -> 0 bytes libtommath/pics/expt_state.sxd | Bin 6869 -> 0 bytes libtommath/pics/expt_state.tif | Bin 87540 -> 0 bytes libtommath/pics/makefile | 35 - libtommath/pics/primality.tif | Bin 85512 -> 0 bytes libtommath/pics/radix.sxd | Bin 6181 -> 0 bytes libtommath/pics/sliding_window.sxd | Bin 6787 -> 0 bytes libtommath/pics/sliding_window.tif | Bin 53880 -> 0 bytes libtommath/poster.out | 0 libtommath/poster.pdf | Bin 37822 -> 0 bytes libtommath/pre_gen/mpi.c | 9048 ---------- libtommath/tombc/grammar.txt | 35 - libtommath/tommath.h | 216 +- libtommath/tommath.out | 139 - libtommath/tommath.pdf | Bin 1194158 -> 0 bytes libtommath/tommath.src | 2155 ++- libtommath/tommath.tex | 6691 -------- libtommath/tommath_class.h | 80 +- libtommath/tommath_superclass.h | 4 + unix/Makefile.in | 8 +- 201 files changed, 13368 insertions(+), 35280 deletions(-) delete mode 100644 libtommath/bn.ilg delete mode 100644 libtommath/bn.ind delete mode 100644 libtommath/bn.pdf delete mode 100644 libtommath/demo/demo.c delete mode 100644 libtommath/demo/timing.c delete mode 100644 libtommath/etc/2kprime.1 delete mode 100644 libtommath/etc/2kprime.c delete mode 100644 libtommath/etc/drprime.c delete mode 100644 libtommath/etc/drprimes.28 delete mode 100644 libtommath/etc/drprimes.txt delete mode 100644 libtommath/etc/makefile delete mode 100644 libtommath/etc/makefile.icc delete mode 100644 libtommath/etc/makefile.msvc delete mode 100644 libtommath/etc/mersenne.c delete mode 100644 libtommath/etc/mont.c delete mode 100644 libtommath/etc/pprime.c delete mode 100644 libtommath/etc/prime.1024 delete mode 100644 libtommath/etc/prime.512 delete mode 100644 libtommath/etc/timer.asm delete mode 100644 libtommath/etc/tune.c delete mode 100644 libtommath/logs/README delete mode 100644 libtommath/logs/add.log delete mode 100644 libtommath/logs/addsub.png delete mode 100644 libtommath/logs/expt.log delete mode 100644 libtommath/logs/expt.png delete mode 100644 libtommath/logs/expt_2k.log delete mode 100644 libtommath/logs/expt_2kl.log delete mode 100644 libtommath/logs/expt_dr.log delete mode 100644 libtommath/logs/graphs.dem delete mode 100644 libtommath/logs/index.html delete mode 100644 libtommath/logs/invmod.log delete mode 100644 libtommath/logs/invmod.png delete mode 100644 libtommath/logs/mult.log delete mode 100644 libtommath/logs/mult.png delete mode 100644 libtommath/logs/mult_kara.log delete mode 100644 libtommath/logs/sqr.log delete mode 100644 libtommath/logs/sqr_kara.log delete mode 100644 libtommath/logs/sub.log delete mode 100644 libtommath/mtest/logtab.h delete mode 100644 libtommath/mtest/mpi-config.h delete mode 100644 libtommath/mtest/mpi-types.h delete mode 100644 libtommath/mtest/mpi.c delete mode 100644 libtommath/mtest/mpi.h delete mode 100644 libtommath/mtest/mtest.c delete mode 100644 libtommath/pics/design_process.sxd delete mode 100644 libtommath/pics/design_process.tif delete mode 100644 libtommath/pics/expt_state.sxd delete mode 100644 libtommath/pics/expt_state.tif delete mode 100644 libtommath/pics/makefile delete mode 100644 libtommath/pics/primality.tif delete mode 100644 libtommath/pics/radix.sxd delete mode 100644 libtommath/pics/sliding_window.sxd delete mode 100644 libtommath/pics/sliding_window.tif delete mode 100644 libtommath/poster.out delete mode 100644 libtommath/poster.pdf delete mode 100644 libtommath/pre_gen/mpi.c delete mode 100644 libtommath/tombc/grammar.txt delete mode 100644 libtommath/tommath.out delete mode 100644 libtommath/tommath.pdf delete mode 100644 libtommath/tommath.tex diff --git a/generic/tclStubInit.c b/generic/tclStubInit.c index 5b7a1cd..2f1bb8b 100644 --- a/generic/tclStubInit.c +++ b/generic/tclStubInit.c @@ -749,6 +749,7 @@ const TclTomMathStubs tclTomMathStubs = { TclBNInitBignumFromLong, /* 64 */ TclBNInitBignumFromWideInt, /* 65 */ TclBNInitBignumFromWideUInt, /* 66 */ + TclBN_mp_expt_d_ex, /* 67 */ }; static const TclStubHooks tclStubHooks = { diff --git a/generic/tclTomMath.decls b/generic/tclTomMath.decls index 610a031..335ca6a 100644 --- a/generic/tclTomMath.decls +++ b/generic/tclTomMath.decls @@ -233,6 +233,10 @@ declare 66 { void TclBNInitBignumFromWideUInt(mp_int *bignum, Tcl_WideUInt initVal) } +declare 67 { + int TclBN_mp_expt_d_ex(mp_int * a, mp_digit b, mp_int * c, int fast) +} + # Local Variables: # mode: tcl # End: diff --git a/generic/tclTomMath.h b/generic/tclTomMath.h index dd9edaf..771025e 100644 --- a/generic/tclTomMath.h +++ b/generic/tclTomMath.h @@ -10,11 +10,12 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://math.libtomcrypt.com */ #ifndef BN_H_ #define BN_H_ +#include "tclInt.h" #include "tclTomMathDecls.h" #ifndef MODULE_SCOPE #define MODULE_SCOPE extern @@ -22,33 +23,15 @@ -#ifndef MIN -# define MIN(x,y) ((x)<(y)?(x):(y)) -#endif - -#ifndef MAX -# define MAX(x,y) ((x)>(y)?(x):(y)) -#endif - #ifdef __cplusplus extern "C" { - -/* C++ compilers don't like assigning void * to mp_digit * */ -#define OPT_CAST(x) (x *) - -#else - -/* C on the other hand doesn't care */ -#define OPT_CAST(x) - #endif - /* detect 64-bit mode if possible */ -#if defined(NEVER) /* 128-bit ints fail in too many places */ -# if !(defined(MP_64BIT) && defined(MP_16BIT) && defined(MP_8BIT)) -# define MP_64BIT -# endif +#if defined(NEVER) /* 128-bit ints fail in too many places */ + #if !(defined(MP_32BIT) || defined(MP_16BIT) || defined(MP_8BIT)) + #define MP_64BIT + #endif #endif /* some default configurations. @@ -61,83 +44,79 @@ extern "C" { */ #ifdef MP_8BIT #ifndef MP_DIGIT_DECLARED - typedef unsigned char mp_digit; + typedef uint8_t mp_digit; #define MP_DIGIT_DECLARED #endif - typedef unsigned short mp_word; + typedef uint16_t mp_word; +#define MP_SIZEOF_MP_DIGIT 1 +#ifdef DIGIT_BIT +#error You must not define DIGIT_BIT when using MP_8BIT +#endif #elif defined(MP_16BIT) #ifndef MP_DIGIT_DECLARED - typedef unsigned short mp_digit; + typedef uint16_t mp_digit; #define MP_DIGIT_DECLARED #endif - typedef unsigned long mp_word; + typedef uint32_t mp_word; +#define MP_SIZEOF_MP_DIGIT 2 +#ifdef DIGIT_BIT +#error You must not define DIGIT_BIT when using MP_16BIT +#endif #elif defined(MP_64BIT) /* for GCC only on supported platforms */ -#ifndef CRYPT - typedef unsigned long long ulong64; - typedef signed long long long64; -#endif - #ifndef MP_DIGIT_DECLARED - typedef unsigned long mp_digit; + typedef uint64_t mp_digit; #define MP_DIGIT_DECLARED #endif - typedef unsigned long mp_word __attribute__ ((mode(TI))); +#if defined(_WIN32) + typedef unsigned __int128 mp_word; +#elif defined(__GNUC__) + typedef unsigned long mp_word __attribute__ ((mode(TI))); +#else + /* it seems you have a problem + * but we assume you can somewhere define your own uint128_t */ + typedef uint128_t mp_word; +#endif -# define DIGIT_BIT 60 + #define DIGIT_BIT 60 #else /* this is the default case, 28-bit digits */ - - /* this is to make porting into LibTomCrypt easier :-) */ -#ifndef CRYPT -# if defined(_MSC_VER) || defined(__BORLANDC__) - typedef unsigned __int64 ulong64; - typedef signed __int64 long64; -# else - typedef unsigned long long ulong64; - typedef signed long long long64; -# endif -#endif + /* this is to make porting into LibTomCrypt easier :-) */ #ifndef MP_DIGIT_DECLARED - typedef unsigned int mp_digit; + typedef uint32_t mp_digit; #define MP_DIGIT_DECLARED #endif - typedef ulong64 mp_word; + typedef uint64_t mp_word; -#ifdef MP_31BIT +#ifdef MP_31BIT /* this is an extension that uses 31-bit digits */ -# define DIGIT_BIT 31 + #define DIGIT_BIT 31 #else /* default case is 28-bit digits, defines MP_28BIT as a handy macro to test */ -# define DIGIT_BIT 28 -# define MP_28BIT -#endif -#endif - -/* define heap macros */ -#if 0 /* these are macros in tclTomMathDecls.h */ -#ifndef CRYPT - /* default to libc stuff */ -# ifndef XMALLOC -# define XMALLOC malloc -# define XFREE free -# define XREALLOC realloc -# define XCALLOC calloc -# else - /* prototypes for our heap functions */ - extern void *XMALLOC(size_t n); - extern void *XREALLOC(void *p, size_t n); - extern void *XCALLOC(size_t n, size_t s); - extern void XFREE(void *p); -# endif + #define DIGIT_BIT 28 + #define MP_28BIT #endif #endif - /* otherwise the bits per digit is calculated automatically from the size of a mp_digit */ #ifndef DIGIT_BIT -# define DIGIT_BIT ((int)((CHAR_BIT * sizeof(mp_digit) - 1))) /* bits per digit */ + #define DIGIT_BIT (((CHAR_BIT * MP_SIZEOF_MP_DIGIT) - 1)) /* bits per digit */ + typedef uint_least32_t mp_min_u32; +#else + typedef mp_digit mp_min_u32; +#endif + +/* platforms that can use a better rand function */ +#if defined(__FreeBSD__) || defined(__OpenBSD__) || defined(__NetBSD__) || defined(__DragonFly__) + #define MP_USE_ALT_RAND 1 +#endif + +/* use arc4random on platforms that support it */ +#ifdef MP_USE_ALT_RAND + #define MP_GEN_RANDOM() arc4random() +#else + #define MP_GEN_RANDOM() rand() #endif #define MP_DIGIT_BIT DIGIT_BIT @@ -180,15 +159,15 @@ MODULE_SCOPE int KARATSUBA_MUL_CUTOFF, /* default precision */ #ifndef MP_PREC -# ifndef MP_LOW_MEM -# define MP_PREC 32 /* default digits of precision */ -# else -# define MP_PREC 8 /* default digits of precision */ -# endif + #ifndef MP_LOW_MEM + #define MP_PREC 32 /* default digits of precision */ + #else + #define MP_PREC 8 /* default digits of precision */ + #endif #endif /* size of comba arrays, should be at least 2 * 2**(BITS_PER_WORD - BITS_PER_DIGIT*2) */ -#define MP_WARRAY (1 << (sizeof(mp_word) * CHAR_BIT - 2 * DIGIT_BIT + 1)) +#define MP_WARRAY (1 << (((sizeof(mp_word) * CHAR_BIT) - (2 * DIGIT_BIT)) + 1)) /* the infamous mp_int structure */ #ifndef MP_INT_DECLARED @@ -209,9 +188,7 @@ typedef int ltm_prime_callback(unsigned char *dst, int len, void *dat); #define SIGN(m) ((m)->sign) /* error code to char* string */ -/* -char *mp_error_to_string(int code); -*/ +const char *mp_error_to_string(int code); /* ---> init and deinit bignum functions <--- */ /* init a bignum */ @@ -256,8 +233,9 @@ int mp_init_size(mp_int *a, int size); /* ---> Basic Manipulations <--- */ #define mp_iszero(a) (((a)->used == 0) ? MP_YES : MP_NO) -#define mp_iseven(a) (((a)->used == 0 || (((a)->dp[0] & 1) == 0)) ? MP_YES : MP_NO) -#define mp_isodd(a) (((a)->used > 0 && (((a)->dp[0] & 1) == 1)) ? MP_YES : MP_NO) +#define mp_iseven(a) ((((a)->used == 0) || (((a)->dp[0] & 1u) == 0u)) ? MP_YES : MP_NO) +#define mp_isodd(a) ((((a)->used > 0) && (((a)->dp[0] & 1u) == 1u)) ? MP_YES : MP_NO) +#define mp_isneg(a) (((a)->sign != MP_ZPOS) ? MP_YES : MP_NO) /* set to zero */ /* @@ -274,9 +252,25 @@ void mp_set(mp_int *a, mp_digit b); int mp_set_int(mp_int *a, unsigned long b); */ +/* set a platform dependent unsigned long value */ +/* +int mp_set_long(mp_int *a, unsigned long b); +*/ + +/* set a platform dependent unsigned long long value */ +/* +int mp_set_long_long(mp_int *a, unsigned long long b); +*/ + /* get a 32-bit value */ unsigned long mp_get_int(mp_int * a); +/* get a platform dependent unsigned long value */ +unsigned long mp_get_long(mp_int * a); + +/* get a platform dependent unsigned long long value */ +unsigned long long mp_get_long_long(mp_int * a); + /* initialize and set a digit */ /* int mp_init_set (mp_int * a, mp_digit b); @@ -302,6 +296,16 @@ int mp_init_copy(mp_int *a, mp_int *b); void mp_clamp(mp_int *a); */ +/* import binary data */ +/* +int mp_import(mp_int* rop, size_t count, int order, size_t size, int endian, size_t nails, const void* op); +*/ + +/* export binary data */ +/* +int mp_export(void* rop, size_t* countp, int order, size_t size, int endian, size_t nails, mp_int* op); +*/ + /* ---> digit manipulation <--- */ /* right shift by "b" digits */ @@ -314,7 +318,7 @@ void mp_rshd(mp_int *a, int b); int mp_lshd(mp_int *a, int b); */ -/* c = a / 2**b */ +/* c = a / 2**b, implemented as c = a >> b */ /* int mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d); */ @@ -324,7 +328,7 @@ int mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d); int mp_div_2(mp_int *a, mp_int *b); */ -/* c = a * 2**b */ +/* c = a * 2**b, implemented as c = a << b */ /* int mp_mul_2d(const mp_int *a, int b, mp_int *c); */ @@ -334,7 +338,7 @@ int mp_mul_2d(const mp_int *a, int b, mp_int *c); int mp_mul_2(mp_int *a, mp_int *b); */ -/* c = a mod 2**d */ +/* c = a mod 2**b */ /* int mp_mod_2d(const mp_int *a, int b, mp_int *c); */ @@ -460,6 +464,9 @@ int mp_div_3(mp_int *a, mp_int *c, mp_digit *d); /* int mp_expt_d(mp_int *a, mp_digit b, mp_int *c); */ +/* +int mp_expt_d_ex (mp_int * a, mp_digit b, mp_int * c, int fast); +*/ /* c = a mod b, 0 <= c < b */ /* @@ -515,12 +522,20 @@ int mp_lcm(mp_int *a, mp_int *b, mp_int *c); /* int mp_n_root(mp_int *a, mp_digit b, mp_int *c); */ +/* +int mp_n_root_ex (mp_int * a, mp_digit b, mp_int * c, int fast); +*/ /* special sqrt algo */ /* int mp_sqrt(mp_int *arg, mp_int *ret); */ +/* special sqrt (mod prime) */ +/* +int mp_sqrtmod_prime(mp_int *arg, mp_int *prime, mp_int *ret); +*/ + /* is number a square? */ /* int mp_is_square(mp_int *arg, int *ret); @@ -616,14 +631,14 @@ int mp_exptmod(mp_int *a, mp_int *b, mp_int *c, mp_int *d); /* number of primes */ #ifdef MP_8BIT -# define PRIME_SIZE 31 + #define PRIME_SIZE 31 #else -# define PRIME_SIZE 256 + #define PRIME_SIZE 256 #endif /* table of first PRIME_SIZE primes */ #if defined(BUILD_tcl) || !defined(_WIN32) -MODULE_SCOPE const mp_digit ltm_prime_tab[]; +MODULE_SCOPE const mp_digit ltm_prime_tab[PRIME_SIZE]; #endif /* result=1 if a is divisible by one of the first PRIME_SIZE primes */ @@ -646,7 +661,7 @@ int mp_prime_miller_rabin(mp_int *a, mp_int *b, int *result); */ /* This gives [for a given bit size] the number of trials required - * such that Miller-Rabin gives a prob of failure lower than 2^-96 + * such that Miller-Rabin gives a prob of failure lower than 2^-96 */ /* int mp_prime_rabin_miller_trials(int size); @@ -673,7 +688,7 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style); */ /* makes a truly random prime of a given size (bytes), - * call with bbs = 1 if you want it to be congruent to 3 mod 4 + * call with bbs = 1 if you want it to be congruent to 3 mod 4 * * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself @@ -686,10 +701,9 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style); /* makes a truly random prime of a given size (bits), * * Flags are as follows: - * + * * LTM_PRIME_BBS - make prime congruent to 3 mod 4 * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS) - * LTM_PRIME_2MSB_OFF - make the 2nd highest bit zero * LTM_PRIME_2MSB_ON - make the 2nd highest bit one * * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can @@ -745,12 +759,14 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen); int mp_radix_size(mp_int *a, int radix, int *size); */ +#ifndef LTM_NO_FILE /* int mp_fread(mp_int *a, int radix, FILE *stream); */ /* int mp_fwrite(mp_int *a, int radix, FILE *stream); */ +#endif #define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len)) #define mp_raw_size(mp) mp_signed_bin_size(mp) @@ -764,69 +780,14 @@ int mp_fwrite(mp_int *a, int radix, FILE *stream); #define mp_todecimal(M, S) mp_toradix((M), (S), 10) #define mp_tohex(M, S) mp_toradix((M), (S), 16) -/* lowlevel functions, do not call! */ -/* -int s_mp_add(mp_int *a, mp_int *b, mp_int *c); -*/ -/* -int s_mp_sub(mp_int *a, mp_int *b, mp_int *c); -*/ -#define s_mp_mul(a, b, c) s_mp_mul_digs(a, b, c, (a)->used + (b)->used + 1) -/* -int fast_s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -*/ -/* -int s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -*/ -/* -int fast_s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -*/ -/* -int s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -*/ -/* -int fast_s_mp_sqr(mp_int *a, mp_int *b); -*/ -/* -int s_mp_sqr(mp_int *a, mp_int *b); -*/ -/* -int mp_karatsuba_mul(mp_int *a, mp_int *b, mp_int *c); -*/ -/* -int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c); -*/ -/* -int mp_karatsuba_sqr(mp_int *a, mp_int *b); -*/ -/* -int mp_toom_sqr(mp_int *a, mp_int *b); -*/ -/* -int fast_mp_invmod(mp_int *a, mp_int *b, mp_int *c); -*/ -/* -int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c); -*/ -/* -int fast_mp_montgomery_reduce(mp_int *a, mp_int *m, mp_digit mp); -*/ -/* -int mp_exptmod_fast(mp_int *G, mp_int *X, mp_int *P, mp_int *Y, int mode); -*/ -/* -int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int mode); -*/ -/* -void bn_reverse(unsigned char *s, int len); -*/ - -#if defined(BUILD_tcl) || !defined(_WIN32) -MODULE_SCOPE const char *mp_s_rmap; -#endif - #ifdef __cplusplus -} + } #endif #endif + + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ + diff --git a/generic/tclTomMathDecls.h b/generic/tclTomMathDecls.h index 2ce9d5a..e7b68ff 100644 --- a/generic/tclTomMathDecls.h +++ b/generic/tclTomMathDecls.h @@ -73,6 +73,7 @@ #define mp_div_d TclBN_mp_div_d #define mp_exch TclBN_mp_exch #define mp_expt_d TclBN_mp_expt_d +#define mp_expt_d_ex TclBN_mp_expt_d_ex #define mp_grow TclBN_mp_grow #define mp_init TclBN_mp_init #define mp_init_copy TclBN_mp_init_copy @@ -287,6 +288,9 @@ EXTERN void TclBNInitBignumFromWideInt(mp_int *bignum, /* 66 */ EXTERN void TclBNInitBignumFromWideUInt(mp_int *bignum, Tcl_WideUInt initVal); +/* 67 */ +EXTERN int TclBN_mp_expt_d_ex(mp_int *a, mp_digit b, mp_int *c, + int fast); typedef struct TclTomMathStubs { int magic; @@ -359,6 +363,7 @@ typedef struct TclTomMathStubs { void (*tclBNInitBignumFromLong) (mp_int *bignum, long initVal); /* 64 */ void (*tclBNInitBignumFromWideInt) (mp_int *bignum, Tcl_WideInt initVal); /* 65 */ void (*tclBNInitBignumFromWideUInt) (mp_int *bignum, Tcl_WideUInt initVal); /* 66 */ + int (*tclBN_mp_expt_d_ex) (mp_int *a, mp_digit b, mp_int *c, int fast); /* 67 */ } TclTomMathStubs; extern const TclTomMathStubs *tclTomMathStubsPtr; @@ -507,6 +512,8 @@ extern const TclTomMathStubs *tclTomMathStubsPtr; (tclTomMathStubsPtr->tclBNInitBignumFromWideInt) /* 65 */ #define TclBNInitBignumFromWideUInt \ (tclTomMathStubsPtr->tclBNInitBignumFromWideUInt) /* 66 */ +#define TclBN_mp_expt_d_ex \ + (tclTomMathStubsPtr->tclBN_mp_expt_d_ex) /* 67 */ #endif /* defined(USE_TCL_STUBS) */ diff --git a/libtommath/LICENSE b/libtommath/LICENSE index 5baa792..04d6d1d 100644 --- a/libtommath/LICENSE +++ b/libtommath/LICENSE @@ -1,4 +1,29 @@ -LibTomMath is hereby released into the Public Domain. +LibTomMath is licensed under DUAL licensing terms. --- Tom St Denis +Choose and use the license of your needs. +[LICENSE #1] + +LibTomMath is public domain. As should all quality software be. + +Tom St Denis + +[/LICENSE #1] + +[LICENSE #2] + + DO WHAT THE FUCK YOU WANT TO PUBLIC LICENSE + Version 2, December 2004 + + Copyright (C) 2004 Sam Hocevar + + Everyone is permitted to copy and distribute verbatim or modified + copies of this license document, and changing it is allowed as long + as the name is changed. + + DO WHAT THE FUCK YOU WANT TO PUBLIC LICENSE + TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION + + 0. You just DO WHAT THE FUCK YOU WANT TO. + +[/LICENSE #2] diff --git a/libtommath/bn.ilg b/libtommath/bn.ilg deleted file mode 100644 index 3c859f0..0000000 --- a/libtommath/bn.ilg +++ /dev/null @@ -1,6 +0,0 @@ -This is makeindex, version 2.14 [02-Oct-2002] (kpathsea + Thai support). -Scanning input file bn.idx....done (79 entries accepted, 0 rejected). -Sorting entries....done (511 comparisons). -Generating output file bn.ind....done (82 lines written, 0 warnings). -Output written in bn.ind. -Transcript written in bn.ilg. diff --git a/libtommath/bn.ind b/libtommath/bn.ind deleted file mode 100644 index e5f7d4a..0000000 --- a/libtommath/bn.ind +++ /dev/null @@ -1,82 +0,0 @@ -\begin{theindex} - - \item mp\_add, \hyperpage{29} - \item mp\_add\_d, \hyperpage{52} - \item mp\_and, \hyperpage{29} - \item mp\_clear, \hyperpage{11} - \item mp\_clear\_multi, \hyperpage{12} - \item mp\_cmp, \hyperpage{24} - \item mp\_cmp\_d, \hyperpage{25} - \item mp\_cmp\_mag, \hyperpage{23} - \item mp\_div, \hyperpage{30} - \item mp\_div\_2, \hyperpage{26} - \item mp\_div\_2d, \hyperpage{28} - \item mp\_div\_d, \hyperpage{52} - \item mp\_dr\_reduce, \hyperpage{40} - \item mp\_dr\_setup, \hyperpage{40} - \item MP\_EQ, \hyperpage{22} - \item mp\_error\_to\_string, \hyperpage{10} - \item mp\_expt\_d, \hyperpage{43} - \item mp\_exptmod, \hyperpage{43} - \item mp\_exteuclid, \hyperpage{51} - \item mp\_gcd, \hyperpage{51} - \item mp\_get\_int, \hyperpage{20} - \item mp\_grow, \hyperpage{16} - \item MP\_GT, \hyperpage{22} - \item mp\_init, \hyperpage{11} - \item mp\_init\_copy, \hyperpage{13} - \item mp\_init\_multi, \hyperpage{12} - \item mp\_init\_set, \hyperpage{21} - \item mp\_init\_set\_int, \hyperpage{21} - \item mp\_init\_size, \hyperpage{14} - \item mp\_int, \hyperpage{10} - \item mp\_invmod, \hyperpage{52} - \item mp\_jacobi, \hyperpage{52} - \item mp\_lcm, \hyperpage{51} - \item mp\_lshd, \hyperpage{28} - \item MP\_LT, \hyperpage{22} - \item MP\_MEM, \hyperpage{9} - \item mp\_mod, \hyperpage{35} - \item mp\_mod\_d, \hyperpage{52} - \item mp\_montgomery\_calc\_normalization, \hyperpage{38} - \item mp\_montgomery\_reduce, \hyperpage{37} - \item mp\_montgomery\_setup, \hyperpage{37} - \item mp\_mul, \hyperpage{31} - \item mp\_mul\_2, \hyperpage{26} - \item mp\_mul\_2d, \hyperpage{28} - \item mp\_mul\_d, \hyperpage{52} - \item mp\_n\_root, \hyperpage{44} - \item mp\_neg, \hyperpage{29} - \item MP\_NO, \hyperpage{9} - \item MP\_OKAY, \hyperpage{9} - \item mp\_or, \hyperpage{29} - \item mp\_prime\_fermat, \hyperpage{45} - \item mp\_prime\_is\_divisible, \hyperpage{45} - \item mp\_prime\_is\_prime, \hyperpage{46} - \item mp\_prime\_miller\_rabin, \hyperpage{45} - \item mp\_prime\_next\_prime, \hyperpage{46} - \item mp\_prime\_rabin\_miller\_trials, \hyperpage{46} - \item mp\_prime\_random, \hyperpage{47} - \item mp\_prime\_random\_ex, \hyperpage{47} - \item mp\_radix\_size, \hyperpage{49} - \item mp\_read\_radix, \hyperpage{49} - \item mp\_read\_unsigned\_bin, \hyperpage{50} - \item mp\_reduce, \hyperpage{36} - \item mp\_reduce\_2k, \hyperpage{41} - \item mp\_reduce\_2k\_setup, \hyperpage{41} - \item mp\_reduce\_setup, \hyperpage{36} - \item mp\_rshd, \hyperpage{28} - \item mp\_set, \hyperpage{19} - \item mp\_set\_int, \hyperpage{20} - \item mp\_shrink, \hyperpage{15} - \item mp\_sqr, \hyperpage{33} - \item mp\_sub, \hyperpage{29} - \item mp\_sub\_d, \hyperpage{52} - \item mp\_to\_unsigned\_bin, \hyperpage{50} - \item mp\_toradix, \hyperpage{49} - \item mp\_unsigned\_bin\_size, \hyperpage{50} - \item MP\_VAL, \hyperpage{9} - \item mp\_xor, \hyperpage{29} - \item MP\_YES, \hyperpage{9} - -\end{theindex} diff --git a/libtommath/bn.pdf b/libtommath/bn.pdf deleted file mode 100644 index 392b649..0000000 Binary files a/libtommath/bn.pdf and /dev/null differ diff --git a/libtommath/bn.tex b/libtommath/bn.tex index e8eb994..5804318 100644 --- a/libtommath/bn.tex +++ b/libtommath/bn.tex @@ -1,4 +1,4 @@ -\documentclass[b5paper]{book} +\documentclass[synpaper]{book} \usepackage{hyperref} \usepackage{makeidx} \usepackage{amssymb} @@ -49,10 +49,10 @@ \begin{document} \frontmatter \pagestyle{empty} -\title{LibTomMath User Manual \\ v0.39} -\author{Tom St Denis \\ tomstdenis@iahu.ca} +\title{LibTomMath User Manual \\ v1.0} +\author{Tom St Denis \\ tstdenis82@gmail.com} \maketitle -This text, the library and the accompanying textbook are all hereby placed in the public domain. This book has been +This text, the library and the accompanying textbook are all hereby placed in the public domain. This book has been formatted for B5 [176x250] paper using the \LaTeX{} {\em book} macro package. \vspace{10cm} @@ -74,12 +74,12 @@ Ontario, Canada \section{What is LibTomMath?} LibTomMath is a library of source code which provides a series of efficient and carefully written functions for manipulating large integer numbers. It was written in portable ISO C source code so that it will build on any platform with a conforming -C compiler. +C compiler. In a nutshell the library was written from scratch with verbose comments to help instruct computer science students how -to implement ``bignum'' math. However, the resulting code has proven to be very useful. It has been used by numerous +to implement ``bignum'' math. However, the resulting code has proven to be very useful. It has been used by numerous universities, commercial and open source software developers. It has been used on a variety of platforms ranging from -Linux and Windows based x86 to ARM based Gameboys and PPC based MacOS machines. +Linux and Windows based x86 to ARM based Gameboys and PPC based MacOS machines. \section{License} As of the v0.25 the library source code has been placed in the public domain with every new release. As of the v0.28 @@ -87,14 +87,14 @@ release the textbook ``Implementing Multiple Precision Arithmetic'' has been pla release as well. This textbook is meant to compliment the project by providing a more solid walkthrough of the development algorithms used in the library. -Since both\footnote{Note that the MPI files under mtest/ are copyrighted by Michael Fromberger. They are not required to use LibTomMath.} are in the +Since both\footnote{Note that the MPI files under mtest/ are copyrighted by Michael Fromberger. They are not required to use LibTomMath.} are in the public domain everyone is entitled to do with them as they see fit. \section{Building LibTomMath} LibTomMath is meant to be very ``GCC friendly'' as it comes with a makefile well suited for GCC. However, the library will also build in MSVC, Borland C out of the box. For any other ISO C compiler a makefile will have to be made by the end -developer. +developer. \subsection{Static Libraries} To build as a static library for GCC issue the following @@ -102,14 +102,14 @@ To build as a static library for GCC issue the following make \end{alltt} -command. This will build the library and archive the object files in ``libtommath.a''. Now you link against +command. This will build the library and archive the object files in ``libtommath.a''. Now you link against that and include ``tommath.h'' within your programs. Alternatively to build with MSVC issue the following \begin{alltt} nmake -f makefile.msvc \end{alltt} -This will build the library and archive the object files in ``tommath.lib''. This has been tested with MSVC -version 6.00 with service pack 5. +This will build the library and archive the object files in ``tommath.lib''. This has been tested with MSVC +version 6.00 with service pack 5. \subsection{Shared Libraries} To build as a shared library for GCC issue the following @@ -117,12 +117,12 @@ To build as a shared library for GCC issue the following make -f makefile.shared \end{alltt} This requires the ``libtool'' package (common on most Linux/BSD systems). It will build LibTomMath as both shared -and static then install (by default) into /usr/lib as well as install the header files in /usr/include. The shared -library (resource) will be called ``libtommath.la'' while the static library called ``libtommath.a''. Generally -you use libtool to link your application against the shared object. +and static then install (by default) into /usr/lib as well as install the header files in /usr/include. The shared +library (resource) will be called ``libtommath.la'' while the static library called ``libtommath.a''. Generally +you use libtool to link your application against the shared object. -There is limited support for making a ``DLL'' in windows via the ``makefile.cygwin\_dll'' makefile. It requires -Cygwin to work with since it requires the auto-export/import functionality. The resulting DLL and import library +There is limited support for making a ``DLL'' in windows via the ``makefile.cygwin\_dll'' makefile. It requires +Cygwin to work with since it requires the auto-export/import functionality. The resulting DLL and import library ``libtommath.dll.a'' can be used to link LibTomMath dynamically to any Windows program using Cygwin. \subsection{Testing} @@ -140,7 +140,7 @@ is included in the package}. Simply pipe mtest into test using mtest/mtest | test \end{alltt} -If you do not have a ``/dev/urandom'' style RNG source you will have to write your own PRNG and simply pipe that into +If you do not have a ``/dev/urandom'' style RNG source you will have to write your own PRNG and simply pipe that into mtest. For example, if your PRNG program is called ``myprng'' simply invoke \begin{alltt} @@ -152,17 +152,17 @@ that is being performed. The numbers represent how many times the test was invo will exit with a dump of the relevent numbers it was working with. \section{Build Configuration} -LibTomMath can configured at build time in three phases we shall call ``depends'', ``tweaks'' and ``trims''. -Each phase changes how the library is built and they are applied one after another respectively. +LibTomMath can configured at build time in three phases we shall call ``depends'', ``tweaks'' and ``trims''. +Each phase changes how the library is built and they are applied one after another respectively. To make the system more powerful you can tweak the build process. Classes are defined in the file -``tommath\_superclass.h''. By default, the symbol ``LTM\_ALL'' shall be defined which simply -instructs the system to build all of the functions. This is how LibTomMath used to be packaged. This will give you +``tommath\_superclass.h''. By default, the symbol ``LTM\_ALL'' shall be defined which simply +instructs the system to build all of the functions. This is how LibTomMath used to be packaged. This will give you access to every function LibTomMath offers. -However, there are cases where such a build is not optional. For instance, you want to perform RSA operations. You -don't need the vast majority of the library to perform these operations. Aside from LTM\_ALL there is -another pre--defined class ``SC\_RSA\_1'' which works in conjunction with the RSA from LibTomCrypt. Additional +However, there are cases where such a build is not optional. For instance, you want to perform RSA operations. You +don't need the vast majority of the library to perform these operations. Aside from LTM\_ALL there is +another pre--defined class ``SC\_RSA\_1'' which works in conjunction with the RSA from LibTomCrypt. Additional classes can be defined base on the need of the user. \subsection{Build Depends} @@ -172,8 +172,8 @@ file. For instance, BN\_MP\_ADD\_C represents the file ``bn\_mp\_add.c''. When function in the respective file will be compiled and linked into the library. Accordingly when the define is absent the file will not be compiled and not contribute any size to the library. -You will also note that the header tommath\_class.h is actually recursively included (it includes itself twice). -This is to help resolve as many dependencies as possible. In the last pass the symbol LTM\_LAST will be defined. +You will also note that the header tommath\_class.h is actually recursively included (it includes itself twice). +This is to help resolve as many dependencies as possible. In the last pass the symbol LTM\_LAST will be defined. This is useful for ``trims''. \subsection{Build Tweaks} @@ -193,7 +193,7 @@ They can be enabled at any pass of the configuration phase. \subsection{Build Trims} A trim is a manner of removing functionality from a function that is not required. For instance, to perform -RSA cryptography you only require exponentiation with odd moduli so even moduli support can be safely removed. +RSA cryptography you only require exponentiation with odd moduli so even moduli support can be safely removed. Build trims are meant to be defined on the last pass of the configuration which means they are to be defined only if LTM\_LAST has been defined. @@ -232,7 +232,7 @@ only if LTM\_LAST has been defined. & BN\_S\_MP\_SQR\_C \\ \hline Polynomial Schmolynomial & BN\_MP\_KARATSUBA\_MUL\_C \\ & BN\_MP\_KARATSUBA\_SQR\_C \\ - & BN\_MP\_TOOM\_MUL\_C \\ + & BN\_MP\_TOOM\_MUL\_C \\ & BN\_MP\_TOOM\_SQR\_C \\ \hline @@ -242,11 +242,11 @@ only if LTM\_LAST has been defined. \section{Purpose of LibTomMath} -Unlike GNU MP (GMP) Library, LIP, OpenSSL or various other commercial kits (Miracl), LibTomMath was not written with -bleeding edge performance in mind. First and foremost LibTomMath was written to be entirely open. Not only is the +Unlike GNU MP (GMP) Library, LIP, OpenSSL or various other commercial kits (Miracl), LibTomMath was not written with +bleeding edge performance in mind. First and foremost LibTomMath was written to be entirely open. Not only is the source code public domain (unlike various other GPL/etc licensed code), not only is the code freely downloadable but the source code is also accessible for computer science students attempting to learn ``BigNum'' or multiple precision -arithmetic techniques. +arithmetic techniques. LibTomMath was written to be an instructive collection of source code. This is why there are many comments, only one function per source file and often I use a ``middle-road'' approach where I don't cut corners for an extra 2\% speed @@ -277,9 +277,9 @@ are the pros and cons of LibTomMath by comparing it to the math routines from Gn \caption{LibTomMath Valuation} \end{figure} -It may seem odd to compare LibTomMath to GnuPG since the math in GnuPG is only a small portion of the entire application. +It may seem odd to compare LibTomMath to GnuPG since the math in GnuPG is only a small portion of the entire application. However, LibTomMath was written with cryptography in mind. It provides essentially all of the functions a cryptosystem -would require when working with large integers. +would require when working with large integers. So it may feel tempting to just rip the math code out of GnuPG (or GnuMP where it was taken from originally) in your own application but I think there are reasons not to. While LibTomMath is slower than libraries such as GnuMP it is @@ -289,11 +289,11 @@ exponentiations. It depends largely on the processor, compiler and the moduli b Essentially the only time you wouldn't use LibTomMath is when blazing speed is the primary concern. However, on the other side of the coin LibTomMath offers you a totally free (public domain) well structured math library that is very flexible, complete and performs well in resource contrained environments. Fast RSA for example can -be performed with as little as 8KB of ram for data (again depending on build options). +be performed with as little as 8KB of ram for data (again depending on build options). \chapter{Getting Started with LibTomMath} \section{Building Programs} -In order to use LibTomMath you must include ``tommath.h'' and link against the appropriate library file (typically +In order to use LibTomMath you must include ``tommath.h'' and link against the appropriate library file (typically libtommath.a). There is no library initialization required and the entire library is thread safe. \section{Return Codes} @@ -327,8 +327,8 @@ to a string use the following function. char *mp_error_to_string(int code); \end{alltt} -This will return a pointer to a string which describes the given error code. It will not work for the return codes -MP\_YES and MP\_NO. +This will return a pointer to a string which describes the given error code. It will not work for the return codes +MP\_YES and MP\_NO. \section{Data Types} The basic ``multiple precision integer'' type is known as the ``mp\_int'' within LibTomMath. This data type is used to @@ -345,7 +345,7 @@ typedef struct \{ Where ``mp\_digit'' is a data type that represents individual digits of the integer. By default, an mp\_digit is the ISO C ``unsigned long'' data type and each digit is $28-$bits long. The mp\_digit type can be configured to suit other -platforms by defining the appropriate macros. +platforms by defining the appropriate macros. All LTM functions that use the mp\_int type will expect a pointer to mp\_int structure. You must allocate memory to hold the structure itself by yourself (whether off stack or heap it doesn't matter). The very first thing that must be @@ -374,7 +374,7 @@ This allows operands to be re-used which can make programming simpler. \section{Initialization} \subsection{Single Initialization} -A single mp\_int can be initialized with the ``mp\_init'' function. +A single mp\_int can be initialized with the ``mp\_init'' function. \index{mp\_init} \begin{alltt} @@ -392,11 +392,11 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* use the number */ return EXIT_SUCCESS; @@ -404,7 +404,7 @@ int main(void) \end{alltt} \end{small} \subsection{Single Free} -When you are finished with an mp\_int it is ideal to return the heap it used back to the system. The following function +When you are finished with an mp\_int it is ideal to return the heap it used back to the system. The following function provides this functionality. \index{mp\_clear} @@ -412,9 +412,9 @@ provides this functionality. void mp_clear (mp_int * a); \end{alltt} -The function expects a pointer to a previously initialized mp\_int structure and frees the heap it uses. It sets the -pointer\footnote{The ``dp'' member.} within the mp\_int to \textbf{NULL} which is used to prevent double free situations. -Is is legal to call mp\_clear() twice on the same mp\_int in a row. +The function expects a pointer to a previously initialized mp\_int structure and frees the heap it uses. It sets the +pointer\footnote{The ``dp'' member.} within the mp\_int to \textbf{NULL} which is used to prevent double free situations. +Is is legal to call mp\_clear() twice on the same mp\_int in a row. \begin{small} \begin{alltt} int main(void) @@ -423,11 +423,11 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* use the number */ /* We're done with it. */ @@ -451,8 +451,8 @@ int mp_init_multi(mp_int *mp, ...); It accepts a \textbf{NULL} terminated list of pointers to mp\_int structures. It will attempt to initialize them all at once. If the function returns MP\_OKAY then all of the mp\_int variables are ready to use, otherwise none of them -are available for use. A complementary mp\_clear\_multi() function allows multiple mp\_int variables to be free'd -from the heap at the same time. +are available for use. A complementary mp\_clear\_multi() function allows multiple mp\_int variables to be free'd +from the heap at the same time. \begin{small} \begin{alltt} int main(void) @@ -460,14 +460,14 @@ int main(void) mp_int num1, num2, num3; int result; - if ((result = mp_init_multi(&num1, + if ((result = mp_init_multi(&num1, &num2, - &num3, NULL)) != MP\_OKAY) \{ - printf("Error initializing the numbers. \%s", + &num3, NULL)) != MP\_OKAY) \{ + printf("Error initializing the numbers. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* use the numbers */ /* We're done with them. */ @@ -478,7 +478,7 @@ int main(void) \end{alltt} \end{small} \subsection{Other Initializers} -To initialized and make a copy of an mp\_int the mp\_init\_copy() function has been provided. +To initialized and make a copy of an mp\_int the mp\_init\_copy() function has been provided. \index{mp\_init\_copy} \begin{alltt} @@ -497,11 +497,11 @@ int main(void) /* We want a copy of num1 in num2 now */ if ((result = mp_init_copy(&num2, &num1)) != MP_OKAY) \{ - printf("Error initializing the copy. \%s", + printf("Error initializing the copy. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* now num2 is ready and contains a copy of num1 */ /* We're done with them. */ @@ -521,7 +521,7 @@ int mp_init_size (mp_int * a, int size); \end{alltt} The $size$ parameter must be greater than zero. If the function succeeds the mp\_int $a$ will be initialized -to have $size$ digits (which are all initially zero). +to have $size$ digits (which are all initially zero). \begin{small} \begin{alltt} int main(void) @@ -531,11 +531,11 @@ int main(void) /* we need a 60-digit number */ if ((result = mp_init_size(&number, 60)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* use the number */ return EXIT_SUCCESS; @@ -556,7 +556,7 @@ int mp_shrink (mp_int * a); This will remove excess digits of the mp\_int $a$. If the operation fails the mp\_int should be intact without the excess digits being removed. Note that you can use a shrunk mp\_int in further computations, however, such operations will require heap operations which can be slow. It is not ideal to shrink mp\_int variables that you will further -modify in the system (unless you are seriously low on memory). +modify in the system (unless you are seriously low on memory). \begin{small} \begin{alltt} int main(void) @@ -565,16 +565,16 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* use the number [e.g. pre-computation] */ /* We're done with it for now. */ if ((result = mp_shrink(&number)) != MP_OKAY) \{ - printf("Error shrinking the number. \%s", + printf("Error shrinking the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -582,7 +582,7 @@ int main(void) /* use it .... */ - /* we're done with it. */ + /* we're done with it. */ mp_clear(&number); return EXIT_SUCCESS; @@ -595,7 +595,7 @@ Within the mp\_int structure are two parameters which control the limitations of the integer the mp\_int is meant to equal. The \textit{used} parameter dictates how many digits are significant, that is, contribute to the value of the mp\_int. The \textit{alloc} parameter dictates how many digits are currently available in the array. If you need to perform an operation that requires more digits you will have to mp\_grow() the mp\_int to -your desired size. +your desired size. \index{mp\_grow} \begin{alltt} @@ -612,16 +612,16 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* use the number */ /* We need to add 20 digits to the number */ if ((result = mp_grow(&number, number.alloc + 20)) != MP_OKAY) \{ - printf("Error growing the number. \%s", + printf("Error growing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -629,7 +629,7 @@ int main(void) /* use the number */ - /* we're done with it. */ + /* we're done with it. */ mp_clear(&number); return EXIT_SUCCESS; @@ -641,7 +641,7 @@ int main(void) Setting mp\_ints to small constants is a relatively common operation. To accomodate these instances there are two small constant assignment functions. The first function is used to set a single digit constant while the second sets an ISO C style ``unsigned long'' constant. The reason for both functions is efficiency. Setting a single digit is quick but the -domain of a digit can change (it's always at least $0 \ldots 127$). +domain of a digit can change (it's always at least $0 \ldots 127$). \subsection{Single Digit} @@ -663,15 +663,15 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* set the number to 5 */ mp_set(&number, 5); - /* we're done with it. */ + /* we're done with it. */ mp_clear(&number); return EXIT_SUCCESS; @@ -680,7 +680,7 @@ int main(void) \subsection{Long Constants} -To set a constant that is the size of an ISO C ``unsigned long'' and larger than a single digit the following function +To set a constant that is the size of an ISO C ``unsigned long'' and larger than a single digit the following function can be used. \index{mp\_set\_int} @@ -689,7 +689,7 @@ int mp_set_int (mp_int * a, unsigned long b); \end{alltt} This will assign the value of the 32-bit variable $b$ to the mp\_int $a$. Unlike mp\_set() this function will always -accept a 32-bit input regardless of the size of a single digit. However, since the value may span several digits +accept a 32-bit input regardless of the size of a single digit. However, since the value may span several digits this function can fail if it runs out of heap memory. To get the ``unsigned long'' copy of an mp\_int the following function can be used. @@ -699,7 +699,7 @@ To get the ``unsigned long'' copy of an mp\_int the following function can be us unsigned long mp_get_int (mp_int * a); \end{alltt} -This will return the 32 least significant bits of the mp\_int $a$. +This will return the 32 least significant bits of the mp\_int $a$. \begin{small} \begin{alltt} int main(void) @@ -708,21 +708,21 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* set the number to 654321 (note this is bigger than 127) */ if ((result = mp_set_int(&number, 654321)) != MP_OKAY) \{ - printf("Error setting the value of the number. \%s", + printf("Error setting the value of the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} printf("number == \%lu", mp_get_int(&number)); - /* we're done with it. */ + /* we're done with it. */ mp_clear(&number); return EXIT_SUCCESS; @@ -735,6 +735,42 @@ This should output the following if the program succeeds. number == 654321 \end{alltt} +\subsection{Long Constants - platform dependant} + +\index{mp\_set\_long} +\begin{alltt} +int mp_set_long (mp_int * a, unsigned long b); +\end{alltt} + +This will assign the value of the platform-dependant sized variable $b$ to the mp\_int $a$. + +To get the ``unsigned long'' copy of an mp\_int the following function can be used. + +\index{mp\_get\_long} +\begin{alltt} +unsigned long mp_get_long (mp_int * a); +\end{alltt} + +This will return the least significant bits of the mp\_int $a$ that fit into an ``unsigned long''. + +\subsection{Long Long Constants} + +\index{mp\_set\_long\_long} +\begin{alltt} +int mp_set_long_long (mp_int * a, unsigned long long b); +\end{alltt} + +This will assign the value of the 64-bit variable $b$ to the mp\_int $a$. + +To get the ``unsigned long long'' copy of an mp\_int the following function can be used. + +\index{mp\_get\_long\_long} +\begin{alltt} +unsigned long long mp_get_long_long (mp_int * a); +\end{alltt} + +This will return the 64 least significant bits of the mp\_int $a$. + \subsection{Initialize and Setting Constants} To both initialize and set small constants the following two functions are available. \index{mp\_init\_set} \index{mp\_init\_set\_int} @@ -743,7 +779,7 @@ int mp_init_set (mp_int * a, mp_digit b); int mp_init_set_int (mp_int * a, unsigned long b); \end{alltt} -Both functions work like the previous counterparts except they first mp\_init $a$ before setting the values. +Both functions work like the previous counterparts except they first mp\_init $a$ before setting the values. \begin{alltt} int main(void) @@ -753,14 +789,14 @@ int main(void) /* initialize and set a single digit */ if ((result = mp_init_set(&number1, 100)) != MP_OKAY) \{ - printf("Error setting number1: \%s", + printf("Error setting number1: \%s", mp_error_to_string(result)); return EXIT_FAILURE; - \} + \} /* initialize and set a long */ if ((result = mp_init_set_int(&number2, 1023)) != MP_OKAY) \{ - printf("Error setting number2: \%s", + printf("Error setting number2: \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -801,14 +837,14 @@ for any comparison. \label{fig:CMP} \end{figure} -In figure \ref{fig:CMP} two integers $a$ and $b$ are being compared. In this case $a$ is said to be ``to the left'' of -$b$. +In figure \ref{fig:CMP} two integers $a$ and $b$ are being compared. In this case $a$ is said to be ``to the left'' of +$b$. \subsection{Unsigned comparison} -An unsigned comparison considers only the digits themselves and not the associated \textit{sign} flag of the +An unsigned comparison considers only the digits themselves and not the associated \textit{sign} flag of the mp\_int structures. This is analogous to an absolute comparison. The function mp\_cmp\_mag() will compare two -mp\_int variables based on their digits only. +mp\_int variables based on their digits only. \index{mp\_cmp\_mag} \begin{alltt} @@ -824,18 +860,18 @@ int main(void) int result; if ((result = mp_init_multi(&number1, &number2, NULL)) != MP_OKAY) \{ - printf("Error initializing the numbers. \%s", + printf("Error initializing the numbers. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* set the number1 to 5 */ mp_set(&number1, 5); - + /* set the number2 to -6 */ mp_set(&number2, 6); if ((result = mp_neg(&number2, &number2)) != MP_OKAY) \{ - printf("Error negating number2. \%s", + printf("Error negating number2. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -846,14 +882,14 @@ int main(void) case MP_LT: printf("|number1| < |number2|"); break; \} - /* we're done with it. */ + /* we're done with it. */ mp_clear_multi(&number1, &number2, NULL); return EXIT_SUCCESS; \} \end{alltt} \end{small} -If this program\footnote{This function uses the mp\_neg() function which is discussed in section \ref{sec:NEG}.} completes +If this program\footnote{This function uses the mp\_neg() function which is discussed in section \ref{sec:NEG}.} completes successfully it should print the following. \begin{alltt} @@ -882,18 +918,18 @@ int main(void) int result; if ((result = mp_init_multi(&number1, &number2, NULL)) != MP_OKAY) \{ - printf("Error initializing the numbers. \%s", + printf("Error initializing the numbers. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* set the number1 to 5 */ mp_set(&number1, 5); - + /* set the number2 to -6 */ mp_set(&number2, 6); if ((result = mp_neg(&number2, &number2)) != MP_OKAY) \{ - printf("Error negating number2. \%s", + printf("Error negating number2. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -904,14 +940,14 @@ int main(void) case MP_LT: printf("number1 < number2"); break; \} - /* we're done with it. */ + /* we're done with it. */ mp_clear_multi(&number1, &number2, NULL); return EXIT_SUCCESS; \} \end{alltt} \end{small} -If this program\footnote{This function uses the mp\_neg() function which is discussed in section \ref{sec:NEG}.} completes +If this program\footnote{This function uses the mp\_neg() function which is discussed in section \ref{sec:NEG}.} completes successfully it should print the following. \begin{alltt} @@ -927,7 +963,7 @@ To compare a single digit against an mp\_int the following function has been pro int mp_cmp_d(mp_int * a, mp_digit b); \end{alltt} -This will compare $a$ to the left of $b$ using a signed comparison. Note that it will always treat $b$ as +This will compare $a$ to the left of $b$ using a signed comparison. Note that it will always treat $b$ as positive. This function is rather handy when you have to compare against small values such as $1$ (which often comes up in cryptography). The function cannot fail and will return one of the tree compare condition codes listed in figure \ref{fig:CMP}. @@ -940,11 +976,11 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* set the number to 5 */ mp_set(&number, 5); @@ -954,7 +990,7 @@ int main(void) case MP_LT: printf("number < 7"); break; \} - /* we're done with it. */ + /* we're done with it. */ mp_clear(&number); return EXIT_SUCCESS; @@ -975,7 +1011,7 @@ AND, XOR and OR directly. These operations are very quick. \subsection{Multiplication by two} Multiplications and divisions by any power of two can be performed with quick logical shifts either left or -right depending on the operation. +right depending on the operation. When multiplying or dividing by two a special case routine can be used which are as follows. \index{mp\_mul\_2} \index{mp\_div\_2} @@ -994,17 +1030,17 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* set the number to 5 */ mp_set(&number, 5); /* multiply by two */ if ((result = mp\_mul\_2(&number, &number)) != MP_OKAY) \{ - printf("Error multiplying the number. \%s", + printf("Error multiplying the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -1016,7 +1052,7 @@ int main(void) /* now divide by two */ if ((result = mp\_div\_2(&number, &number)) != MP_OKAY) \{ - printf("Error dividing the number. \%s", + printf("Error dividing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -1026,7 +1062,7 @@ int main(void) case MP_LT: printf("2*number/2 < 7"); break; \} - /* we're done with it. */ + /* we're done with it. */ mp_clear(&number); return EXIT_SUCCESS; @@ -1040,15 +1076,18 @@ If this program is successful it will print out the following text. 2*number/2 < 7 \end{alltt} -Since $10 > 7$ and $5 < 7$. To multiply by a power of two the following function can be used. +Since $10 > 7$ and $5 < 7$. + +To multiply by a power of two the following function can be used. \index{mp\_mul\_2d} \begin{alltt} int mp_mul_2d(mp_int * a, int b, mp_int * c); \end{alltt} -This will multiply $a$ by $2^b$ and store the result in ``c''. If the value of $b$ is less than or equal to -zero the function will copy $a$ to ``c'' without performing any further actions. +This will multiply $a$ by $2^b$ and store the result in ``c''. If the value of $b$ is less than or equal to +zero the function will copy $a$ to ``c'' without performing any further actions. The multiplication itself +is implemented as a right-shift operation of $a$ by $b$ bits. To divide by a power of two use the following. @@ -1058,14 +1097,15 @@ int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d); \end{alltt} Which will divide $a$ by $2^b$, store the quotient in ``c'' and the remainder in ``d'. If $b \le 0$ then the function simply copies $a$ over to ``c'' and zeroes $d$. The variable $d$ may be passed as a \textbf{NULL} -value to signal that the remainder is not desired. +value to signal that the remainder is not desired. The division itself is implemented as a left-shift +operation of $a$ by $b$ bits. \subsection{Polynomial Basis Operations} -Strictly speaking the organization of the integers within the mp\_int structures is what is known as a +Strictly speaking the organization of the integers within the mp\_int structures is what is known as a ``polynomial basis''. This simply means a field element is stored by divisions of a radix. For example, if -$f(x) = \sum_{i=0}^{k} y_ix^k$ for any vector $\vec y$ then the array of digits in $\vec y$ are said to be -the polynomial basis representation of $z$ if $f(\beta) = z$ for a given radix $\beta$. +$f(x) = \sum_{i=0}^{k} y_ix^k$ for any vector $\vec y$ then the array of digits in $\vec y$ are said to be +the polynomial basis representation of $z$ if $f(\beta) = z$ for a given radix $\beta$. To multiply by the polynomial $g(x) = x$ all you have todo is shift the digits of the basis left one place. The following function provides this operation. @@ -1097,7 +1137,7 @@ int mp_and (mp_int * a, mp_int * b, mp_int * c); int mp_xor (mp_int * a, mp_int * b, mp_int * c); \end{alltt} -Which compute $c = a \odot b$ where $\odot$ is one of OR, AND or XOR. +Which compute $c = a \odot b$ where $\odot$ is one of OR, AND or XOR. \section{Addition and Subtraction} @@ -1122,7 +1162,7 @@ Simple integer negation can be performed with the following. int mp_neg (mp_int * a, mp_int * b); \end{alltt} -Which assigns $-a$ to $b$. +Which assigns $-a$ to $b$. \subsection{Absolute} Simple integer absolutes can be performed with the following. @@ -1132,7 +1172,7 @@ Simple integer absolutes can be performed with the following. int mp_abs (mp_int * a, mp_int * b); \end{alltt} -Which assigns $\vert a \vert$ to $b$. +Which assigns $\vert a \vert$ to $b$. \section{Integer Division and Remainder} To perform a complete and general integer division with remainder use the following function. @@ -1141,10 +1181,10 @@ To perform a complete and general integer division with remainder use the follow \begin{alltt} int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d); \end{alltt} - -This divides $a$ by $b$ and stores the quotient in $c$ and $d$. The signed quotient is computed such that -$bc + d = a$. Note that either of $c$ or $d$ can be set to \textbf{NULL} if their value is not required. If -$b$ is zero the function returns \textbf{MP\_VAL}. + +This divides $a$ by $b$ and stores the quotient in $c$ and $d$. The signed quotient is computed such that +$bc + d = a$. Note that either of $c$ or $d$ can be set to \textbf{NULL} if their value is not required. If +$b$ is zero the function returns \textbf{MP\_VAL}. \chapter{Multiplication and Squaring} @@ -1154,7 +1194,7 @@ A full signed integer multiplication can be performed with the following. \begin{alltt} int mp_mul (mp_int * a, mp_int * b, mp_int * c); \end{alltt} -Which assigns the full signed product $ab$ to $c$. This function actually breaks into one of four cases which are +Which assigns the full signed product $ab$ to $c$. This function actually breaks into one of four cases which are specific multiplication routines optimized for given parameters. First there are the Toom-Cook multiplications which should only be used with very large inputs. This is followed by the Karatsuba multiplications which are for moderate sized inputs. Then followed by the Comba and baseline multipliers. @@ -1169,22 +1209,22 @@ int main(void) int result; /* Initialize the numbers */ - if ((result = mp_init_multi(&number1, + if ((result = mp_init_multi(&number1, &number2, NULL)) != MP_OKAY) \{ - printf("Error initializing the numbers. \%s", + printf("Error initializing the numbers. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* set the terms */ if ((result = mp_set_int(&number, 257)) != MP_OKAY) \{ - printf("Error setting number1. \%s", + printf("Error setting number1. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + if ((result = mp_set_int(&number2, 1023)) != MP_OKAY) \{ - printf("Error setting number2. \%s", + printf("Error setting number2. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -1192,7 +1232,7 @@ int main(void) /* multiply them */ if ((result = mp_mul(&number1, &number2, &number1)) != MP_OKAY) \{ - printf("Error multiplying terms. \%s", + printf("Error multiplying terms. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -1205,7 +1245,7 @@ int main(void) return EXIT_SUCCESS; \} -\end{alltt} +\end{alltt} If this program succeeds it shall output the following. @@ -1224,22 +1264,22 @@ int mp_sqr (mp_int * a, mp_int * b); Will square $a$ and store it in $b$. Like the case of multiplication there are four different squaring algorithms all which can be called from mp\_sqr(). It is ideal to use mp\_sqr over mp\_mul when squaring terms because -of the speed difference. +of the speed difference. \section{Tuning Polynomial Basis Routines} Both of the Toom-Cook and Karatsuba multiplication algorithms are faster than the traditional $O(n^2)$ approach that -the Comba and baseline algorithms use. At $O(n^{1.464973})$ and $O(n^{1.584962})$ running times respectively they require +the Comba and baseline algorithms use. At $O(n^{1.464973})$ and $O(n^{1.584962})$ running times respectively they require considerably less work. For example, a 10000-digit multiplication would take roughly 724,000 single precision multiplications with Toom-Cook or 100,000,000 single precision multiplications with the standard Comba (a factor of 138). So why not always use Karatsuba or Toom-Cook? The simple answer is that they have so much overhead that they're not -actually faster than Comba until you hit distinct ``cutoff'' points. For Karatsuba with the default configuration, -GCC 3.3.1 and an Athlon XP processor the cutoff point is roughly 110 digits (about 70 for the Intel P4). That is, at +actually faster than Comba until you hit distinct ``cutoff'' points. For Karatsuba with the default configuration, +GCC 3.3.1 and an Athlon XP processor the cutoff point is roughly 110 digits (about 70 for the Intel P4). That is, at 110 digits Karatsuba and Comba multiplications just about break even and for 110+ digits Karatsuba is faster. -Toom-Cook has incredible overhead and is probably only useful for very large inputs. So far no known cutoff points +Toom-Cook has incredible overhead and is probably only useful for very large inputs. So far no known cutoff points exist and for the most part I just set the cutoff points very high to make sure they're not called. A demo program in the ``etc/'' directory of the project called ``tune.c'' can be used to find the cutoff points. This @@ -1273,19 +1313,19 @@ tuning takes a very long time as the cutoff points are likely to be very high. \chapter{Modular Reduction} -Modular reduction is process of taking the remainder of one quantity divided by another. Expressed -as (\ref{eqn:mod}) the modular reduction is equivalent to the remainder of $b$ divided by $c$. +Modular reduction is process of taking the remainder of one quantity divided by another. Expressed +as (\ref{eqn:mod}) the modular reduction is equivalent to the remainder of $b$ divided by $c$. \begin{equation} a \equiv b \mbox{ (mod }c\mbox{)} \label{eqn:mod} \end{equation} -Of particular interest to cryptography are reductions where $b$ is limited to the range $0 \le b < c^2$ since particularly -fast reduction algorithms can be written for the limited range. +Of particular interest to cryptography are reductions where $b$ is limited to the range $0 \le b < c^2$ since particularly +fast reduction algorithms can be written for the limited range. Note that one of the four optimized reduction algorithms are automatically chosen in the modular exponentiation -algorithm mp\_exptmod when an appropriate modulus is detected. +algorithm mp\_exptmod when an appropriate modulus is detected. \section{Straight Division} In order to effect an arbitrary modular reduction the following algorithm is provided. @@ -1295,7 +1335,7 @@ In order to effect an arbitrary modular reduction the following algorithm is pro int mp_mod(mp_int *a, mp_int *b, mp_int *c); \end{alltt} -This reduces $a$ modulo $b$ and stores the result in $c$. The sign of $c$ shall agree with the sign +This reduces $a$ modulo $b$ and stores the result in $c$. The sign of $c$ shall agree with the sign of $b$. This algorithm accepts an input $a$ of any range and is not limited by $0 \le a < b^2$. \section{Barrett Reduction} @@ -1325,52 +1365,52 @@ int main(void) mp_int a, b, c, mu; int result; - /* initialize a,b to desired values, mp_init mu, - * c and set c to 1...we want to compute a^3 mod b + /* initialize a,b to desired values, mp_init mu, + * c and set c to 1...we want to compute a^3 mod b */ /* get mu value */ if ((result = mp_reduce_setup(&mu, b)) != MP_OKAY) \{ - printf("Error getting mu. \%s", + printf("Error getting mu. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* square a to get c = a^2 */ if ((result = mp_sqr(&a, &c)) != MP_OKAY) \{ - printf("Error squaring. \%s", + printf("Error squaring. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* now reduce `c' modulo b */ if ((result = mp_reduce(&c, &b, &mu)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* multiply a to get c = a^3 */ if ((result = mp_mul(&a, &c, &c)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* now reduce `c' modulo b */ if ((result = mp_reduce(&c, &b, &mu)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* c now equals a^3 mod b */ return EXIT_SUCCESS; \} -\end{alltt} +\end{alltt} -This program will calculate $a^3 \mbox{ mod }b$ if all the functions succeed. +This program will calculate $a^3 \mbox{ mod }b$ if all the functions succeed. \section{Montgomery Reduction} @@ -1382,7 +1422,7 @@ step is required. This is accomplished with the following. int mp_montgomery_setup(mp_int *a, mp_digit *mp); \end{alltt} -For the given odd moduli $a$ the precomputation value is placed in $mp$. The reduction is computed with the +For the given odd moduli $a$ the precomputation value is placed in $mp$. The reduction is computed with the following. \index{mp\_montgomery\_reduce} @@ -1394,10 +1434,10 @@ $0 \le a < b^2$. Montgomery reduction is faster than Barrett reduction for moduli smaller than the ``comba'' limit. With the default setup for instance, the limit is $127$ digits ($3556$--bits). Note that this function is not limited to -$127$ digits just that it falls back to a baseline algorithm after that point. +$127$ digits just that it falls back to a baseline algorithm after that point. -An important observation is that this reduction does not return $a \mbox{ mod }m$ but $aR^{-1} \mbox{ mod }m$ -where $R = \beta^n$, $n$ is the n number of digits in $m$ and $\beta$ is radix used (default is $2^{28}$). +An important observation is that this reduction does not return $a \mbox{ mod }m$ but $aR^{-1} \mbox{ mod }m$ +where $R = \beta^n$, $n$ is the n number of digits in $m$ and $\beta$ is radix used (default is $2^{28}$). To quickly calculate $R$ the following function was provided. @@ -1405,7 +1445,7 @@ To quickly calculate $R$ the following function was provided. \begin{alltt} int mp_montgomery_calc_normalization(mp_int *a, mp_int *b); \end{alltt} -Which calculates $a = R$ for the odd moduli $b$ without using multiplication or division. +Which calculates $a = R$ for the odd moduli $b$ without using multiplication or division. The normal modus operandi for Montgomery reductions is to normalize the integers before entering the system. For example, to calculate $a^3 \mbox { mod }b$ using Montgomery reduction the value of $a$ can be normalized by @@ -1418,62 +1458,62 @@ int main(void) mp_digit mp; int result; - /* initialize a,b to desired values, - * mp_init R, c and set c to 1.... + /* initialize a,b to desired values, + * mp_init R, c and set c to 1.... */ /* get normalization */ if ((result = mp_montgomery_calc_normalization(&R, b)) != MP_OKAY) \{ - printf("Error getting norm. \%s", + printf("Error getting norm. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* get mp value */ if ((result = mp_montgomery_setup(&c, &mp)) != MP_OKAY) \{ - printf("Error setting up montgomery. \%s", + printf("Error setting up montgomery. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* normalize `a' so now a is equal to aR */ if ((result = mp_mulmod(&a, &R, &b, &a)) != MP_OKAY) \{ - printf("Error computing aR. \%s", + printf("Error computing aR. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* square a to get c = a^2R^2 */ if ((result = mp_sqr(&a, &c)) != MP_OKAY) \{ - printf("Error squaring. \%s", + printf("Error squaring. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* now reduce `c' back down to c = a^2R^2 * R^-1 == a^2R */ if ((result = mp_montgomery_reduce(&c, &b, mp)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* multiply a to get c = a^3R^2 */ if ((result = mp_mul(&a, &c, &c)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* now reduce `c' back down to c = a^3R^2 * R^-1 == a^3R */ if ((result = mp_montgomery_reduce(&c, &b, mp)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* now reduce (again) `c' back down to c = a^3R * R^-1 == a^3 */ if ((result = mp_montgomery_reduce(&c, &b, mp)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -1482,9 +1522,9 @@ int main(void) return EXIT_SUCCESS; \} -\end{alltt} +\end{alltt} -This particular example does not look too efficient but it demonstrates the point of the algorithm. By +This particular example does not look too efficient but it demonstrates the point of the algorithm. By normalizing the inputs the reduced results are always of the form $aR$ for some variable $a$. This allows a single final reduction to correct for the normalization and the fast reduction used within the algorithm. @@ -1494,7 +1534,7 @@ For more details consider examining the file \textit{bn\_mp\_exptmod\_fast.c}. ``Dimminished Radix'' reduction refers to reduction with respect to moduli that are ameniable to simple digit shifting and small multiplications. In this case the ``restricted'' variant refers to moduli of the -form $\beta^k - p$ for some $k \ge 0$ and $0 < p < \beta$ where $\beta$ is the radix (default to $2^{28}$). +form $\beta^k - p$ for some $k \ge 0$ and $0 < p < \beta$ where $\beta$ is the radix (default to $2^{28}$). As in the case of Montgomery reduction there is a pre--computation phase required for a given modulus. @@ -1513,45 +1553,62 @@ int mp_dr_reduce(mp_int *a, mp_int *b, mp_digit mp); \end{alltt} This reduces $a$ in place modulo $b$ with the pre--computed value $mp$. $b$ must be of a restricted -dimminished radix form and $a$ must be in the range $0 \le a < b^2$. Dimminished radix reductions are -much faster than both Barrett and Montgomery reductions as they have a much lower asymtotic running time. +dimminished radix form and $a$ must be in the range $0 \le a < b^2$. Dimminished radix reductions are +much faster than both Barrett and Montgomery reductions as they have a much lower asymtotic running time. Since the moduli are restricted this algorithm is not particularly useful for something like Rabin, RSA or BBS cryptographic purposes. This reduction algorithm is useful for Diffie-Hellman and ECC where fixed -primes are acceptable. +primes are acceptable. Note that unlike Montgomery reduction there is no normalization process. The result of this function is equal to the correct residue. \section{Unrestricted Dimminshed Radix} -Unrestricted reductions work much like the restricted counterparts except in this case the moduli is of the -form $2^k - p$ for $0 < p < \beta$. In this sense the unrestricted reductions are more flexible as they -can be applied to a wider range of numbers. +Unrestricted reductions work much like the restricted counterparts except in this case the moduli is of the +form $2^k - p$ for $0 < p < \beta$. In this sense the unrestricted reductions are more flexible as they +can be applied to a wider range of numbers. \index{mp\_reduce\_2k\_setup} \begin{alltt} int mp_reduce_2k_setup(mp_int *a, mp_digit *d); \end{alltt} -This will compute the required $d$ value for the given moduli $a$. +This will compute the required $d$ value for the given moduli $a$. \index{mp\_reduce\_2k} \begin{alltt} int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d); \end{alltt} -This will reduce $a$ in place modulo $n$ with the pre--computed value $d$. From my experience this routine is -slower than mp\_dr\_reduce but faster for most moduli sizes than the Montgomery reduction. +This will reduce $a$ in place modulo $n$ with the pre--computed value $d$. From my experience this routine is +slower than mp\_dr\_reduce but faster for most moduli sizes than the Montgomery reduction. \chapter{Exponentiation} \section{Single Digit Exponentiation} +\index{mp\_expt\_d\_ex} +\begin{alltt} +int mp_expt_d_ex (mp_int * a, mp_digit b, mp_int * c, int fast) +\end{alltt} +This function computes $c = a^b$. + +With parameter \textit{fast} set to $0$ the old version of the algorithm is used, +when \textit{fast} is $1$, a faster but not statically timed version of the algorithm is used. + +The old version uses a simple binary left-to-right algorithm. +It is faster than repeated multiplications by $a$ for all values of $b$ greater than three. + +The new version uses a binary right-to-left algorithm. + +The difference between the old and the new version is that the old version always +executes $DIGIT\_BIT$ iterations. The new algorithm executes only $n$ iterations +where $n$ is equal to the position of the highest bit that is set in $b$. + \index{mp\_expt\_d} \begin{alltt} int mp_expt_d (mp_int * a, mp_digit b, mp_int * c) \end{alltt} -This computes $c = a^b$ using a simple binary left-to-right algorithm. It is faster than repeated multiplications by -$a$ for all values of $b$ greater than three. +mp\_expt\_d(a, b, c) is a wrapper function to mp\_expt\_d\_ex(a, b, c, 0). \section{Modular Exponentiation} \index{mp\_exptmod} @@ -1559,8 +1616,8 @@ $a$ for all values of $b$ greater than three. int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) \end{alltt} This computes $Y \equiv G^X \mbox{ (mod }P\mbox{)}$ using a variable width sliding window algorithm. This function -will automatically detect the fastest modular reduction technique to use during the operation. For negative values of -$X$ the operation is performed as $Y \equiv (G^{-1} \mbox{ mod }P)^{\vert X \vert} \mbox{ (mod }P\mbox{)}$ provided that +will automatically detect the fastest modular reduction technique to use during the operation. For negative values of +$X$ the operation is performed as $Y \equiv (G^{-1} \mbox{ mod }P)^{\vert X \vert} \mbox{ (mod }P\mbox{)}$ provided that $gcd(G, P) = 1$. This function is actually a shell around the two internal exponentiation functions. This routine will automatically @@ -1573,16 +1630,16 @@ and the other two algorithms. \begin{alltt} int mp_n_root (mp_int * a, mp_digit b, mp_int * c) \end{alltt} -This computes $c = a^{1/b}$ such that $c^b \le a$ and $(c+1)^b > a$. The implementation of this function is not +This computes $c = a^{1/b}$ such that $c^b \le a$ and $(c+1)^b > a$. The implementation of this function is not ideal for values of $b$ greater than three. It will work but become very slow. So unless you are working with very small numbers (less than 1000 bits) I'd avoid $b > 3$ situations. Will return a positive root only for even roots and return -a root with the sign of the input for odd roots. For example, performing $4^{1/2}$ will return $2$ whereas $(-8)^{1/3}$ -will return $-2$. +a root with the sign of the input for odd roots. For example, performing $4^{1/2}$ will return $2$ whereas $(-8)^{1/3}$ +will return $-2$. This algorithm uses the ``Newton Approximation'' method and will converge on the correct root fairly quickly. Since the algorithm requires raising $a$ to the power of $b$ it is not ideal to attempt to find roots for large values of $b$. If particularly large roots are required then a factor method could be used instead. For example, -$a^{1/16}$ is equivalent to $\left (a^{1/4} \right)^{1/4}$ or simply +$a^{1/16}$ is equivalent to $\left (a^{1/4} \right)^{1/4}$ or simply $\left ( \left ( \left ( a^{1/2} \right )^{1/2} \right )^{1/2} \right )^{1/2}$ \chapter{Prime Numbers} @@ -1591,8 +1648,8 @@ $\left ( \left ( \left ( a^{1/2} \right )^{1/2} \right )^{1/2} \right )^{1/2}$ \begin{alltt} int mp_prime_is_divisible (mp_int * a, int *result) \end{alltt} -This will attempt to evenly divide $a$ by a list of primes\footnote{Default is the first 256 primes.} and store the -outcome in ``result''. That is if $result = 0$ then $a$ is not divisible by the primes, otherwise it is. Note that +This will attempt to evenly divide $a$ by a list of primes\footnote{Default is the first 256 primes.} and store the +outcome in ``result''. That is if $result = 0$ then $a$ is not divisible by the primes, otherwise it is. Note that if the function does not return \textbf{MP\_OKAY} the value in ``result'' should be considered undefined\footnote{Currently the default is to set it to zero first.}. @@ -1611,10 +1668,10 @@ is set to zero. int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result) \end{alltt} Performs a Miller-Rabin test to the base $b$ of $a$. This test is much stronger than the Fermat test and is very hard to -fool (besides with Carmichael numbers). If $a$ passes the test (therefore is probably prime) $result$ is set to one. -Otherwise $result$ is set to zero. +fool (besides with Carmichael numbers). If $a$ passes the test (therefore is probably prime) $result$ is set to one. +Otherwise $result$ is set to zero. -Note that is suggested that you use the Miller-Rabin test instead of the Fermat test since all of the failures of +Note that is suggested that you use the Miller-Rabin test instead of the Fermat test since all of the failures of Miller-Rabin are a subset of the failures of the Fermat test. \subsection{Required Number of Tests} @@ -1628,7 +1685,7 @@ int mp_prime_rabin_miller_trials(int size) \end{alltt} This returns the number of trials required for a $2^{-96}$ (or lower) probability of failure for a given ``size'' expressed in bits. This comes in handy specially since larger numbers are slower to test. For example, a 512-bit number would -require ten tests whereas a 1024-bit number would only require four tests. +require ten tests whereas a 1024-bit number would only require four tests. You should always still perform a trial division before a Miller-Rabin test though. @@ -1637,8 +1694,8 @@ You should always still perform a trial division before a Miller-Rabin test thou \begin{alltt} int mp_prime_is_prime (mp_int * a, int t, int *result) \end{alltt} -This will perform a trial division followed by $t$ rounds of Miller-Rabin tests on $a$ and store the result in $result$. -If $a$ passes all of the tests $result$ is set to one, otherwise it is set to zero. Note that $t$ is bounded by +This will perform a trial division followed by $t$ rounds of Miller-Rabin tests on $a$ and store the result in $result$. +If $a$ passes all of the tests $result$ is set to one, otherwise it is set to zero. Note that $t$ is bounded by $1 \le t < PRIME\_SIZE$ where $PRIME\_SIZE$ is the number of primes in the prime number table (by default this is $256$). \section{Next Prime} @@ -1646,25 +1703,25 @@ $1 \le t < PRIME\_SIZE$ where $PRIME\_SIZE$ is the number of primes in the prime \begin{alltt} int mp_prime_next_prime(mp_int *a, int t, int bbs_style) \end{alltt} -This finds the next prime after $a$ that passes mp\_prime\_is\_prime() with $t$ tests. Set $bbs\_style$ to one if you -want only the next prime congruent to $3 \mbox{ mod } 4$, otherwise set it to zero to find any next prime. +This finds the next prime after $a$ that passes mp\_prime\_is\_prime() with $t$ tests. Set $bbs\_style$ to one if you +want only the next prime congruent to $3 \mbox{ mod } 4$, otherwise set it to zero to find any next prime. \section{Random Primes} \index{mp\_prime\_random} \begin{alltt} -int mp_prime_random(mp_int *a, int t, int size, int bbs, +int mp_prime_random(mp_int *a, int t, int size, int bbs, ltm_prime_callback cb, void *dat) \end{alltt} This will find a prime greater than $256^{size}$ which can be ``bbs\_style'' or not depending on $bbs$ and must pass -$t$ rounds of tests. The ``ltm\_prime\_callback'' is a typedef for +$t$ rounds of tests. The ``ltm\_prime\_callback'' is a typedef for \begin{alltt} typedef int ltm_prime_callback(unsigned char *dst, int len, void *dat); \end{alltt} Which is a function that must read $len$ bytes (and return the amount stored) into $dst$. The $dat$ variable is simply -copied from the original input. It can be used to pass RNG context data to the callback. The function -mp\_prime\_random() is more suitable for generating primes which must be secret (as in the case of RSA) since there +copied from the original input. It can be used to pass RNG context data to the callback. The function +mp\_prime\_random() is more suitable for generating primes which must be secret (as in the case of RSA) since there is no skew on the least significant bits. \textit{Note:} As of v0.30 of the LibTomMath library this function has been deprecated. It is still available @@ -1673,13 +1730,13 @@ but users are encouraged to use the new mp\_prime\_random\_ex() function instead \subsection{Extended Generation} \index{mp\_prime\_random\_ex} \begin{alltt} -int mp_prime_random_ex(mp_int *a, int t, - int size, int flags, +int mp_prime_random_ex(mp_int *a, int t, + int size, int flags, ltm_prime_callback cb, void *dat); \end{alltt} This will generate a prime in $a$ using $t$ tests of the primality testing algorithms. The variable $size$ specifies the bit length of the prime desired. The variable $flags$ specifies one of several options available -(see fig. \ref{fig:primeopts}) which can be OR'ed together. The callback parameters are used as in +(see fig. \ref{fig:primeopts}) which can be OR'ed together. The callback parameters are used as in mp\_prime\_random(). \begin{figure}[here] @@ -1717,8 +1774,8 @@ by the conversion before storing any data use the following function. \begin{alltt} int mp_radix_size (mp_int * a, int radix, int *size) \end{alltt} -This stores in ``size'' the number of characters (including space for the NUL terminator) required. Upon error this -function returns an error code and ``size'' will be zero. +This stores in ``size'' the number of characters (including space for the NUL terminator) required. Upon error this +function returns an error code and ``size'' will be zero. \subsection{From ASCII} \index{mp\_read\_radix} @@ -1764,13 +1821,13 @@ int mp_to_signed_bin(mp_int *a, unsigned char *b); \end{alltt} They operate essentially the same as the unsigned copies except they prefix the data with zero or non--zero byte depending on the sign. If the sign is zpos (e.g. not negative) the prefix is zero, otherwise the prefix -is non--zero. +is non--zero. \chapter{Algebraic Functions} \section{Extended Euclidean Algorithm} \index{mp\_exteuclid} \begin{alltt} -int mp_exteuclid(mp_int *a, mp_int *b, +int mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3); \end{alltt} @@ -1780,7 +1837,7 @@ This finds the triple U1/U2/U3 using the Extended Euclidean algorithm such that a \cdot U1 + b \cdot U2 = U3 \end{equation} -Any of the U1/U2/U3 paramters can be set to \textbf{NULL} if they are not desired. +Any of the U1/U2/U3 paramters can be set to \textbf{NULL} if they are not desired. \section{Greatest Common Divisor} \index{mp\_gcd} @@ -1804,7 +1861,28 @@ int mp_jacobi (mp_int * a, mp_int * p, int *c) This will compute the Jacobi symbol for $a$ with respect to $p$. If $p$ is prime this essentially computes the Legendre symbol. The result is stored in $c$ and can take on one of three values $\lbrace -1, 0, 1 \rbrace$. If $p$ is prime then the result will be $-1$ when $a$ is not a quadratic residue modulo $p$. The result will be $0$ if $a$ divides $p$ -and the result will be $1$ if $a$ is a quadratic residue modulo $p$. +and the result will be $1$ if $a$ is a quadratic residue modulo $p$. + +\section{Modular square root} +\index{mp\_sqrtmod\_prime} +\begin{alltt} +int mp_sqrtmod_prime(mp_int *n, mp_int *p, mp_int *r) +\end{alltt} + +This will solve the modular equatioon $r^2 = n \mod p$ where $p$ is a prime number greater than 2 (odd prime). +The result is returned in the third argument $r$, the function returns \textbf{MP\_OKAY} on success, +other return values indicate failure. + +The implementation is split for two different cases: + +1. if $p \mod 4 == 3$ we apply \href{http://cacr.uwaterloo.ca/hac/}{Handbook of Applied Cryptography algorithm 3.36} and compute $r$ directly as +$r = n^{(p+1)/4} \mod p$ + +2. otherwise we use \href{https://en.wikipedia.org/wiki/Tonelli-Shanks_algorithm}{Tonelli-Shanks algorithm} + +The function does not check the primality of parameter $p$ thus it is up to the caller to assure that this parameter +is a prime number. When $p$ is a composite the function behaviour is undefined, it may even return a false-positive +\textbf{MP\_OKAY}. \section{Modular Inverse} \index{mp\_invmod} diff --git a/libtommath/bn_error.c b/libtommath/bn_error.c index 6393bb0..3abf1a7 100644 --- a/libtommath/bn_error.c +++ b/libtommath/bn_error.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_ERROR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,12 +12,12 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ static const struct { int code; - char *msg; + const char *msg; } msgs[] = { { MP_OKAY, "Successful" }, { MP_MEM, "Out of heap" }, @@ -25,7 +25,7 @@ static const struct { }; /* return a char * string for a given code */ -char *mp_error_to_string(int code) +const char *mp_error_to_string(int code) { int x; @@ -41,3 +41,7 @@ char *mp_error_to_string(int code) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_fast_mp_invmod.c b/libtommath/bn_fast_mp_invmod.c index fafd9dc..aa41098 100644 --- a/libtommath/bn_fast_mp_invmod.c +++ b/libtommath/bn_fast_mp_invmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_FAST_MP_INVMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes the modular inverse via binary extended euclidean algorithm, @@ -27,7 +27,7 @@ int fast_mp_invmod (mp_int * a, mp_int * b, mp_int * c) int res, neg; /* 2. [modified] b must be odd */ - if (mp_iseven (b) == 1) { + if (mp_iseven (b) == MP_YES) { return MP_VAL; } @@ -57,13 +57,13 @@ int fast_mp_invmod (mp_int * a, mp_int * b, mp_int * c) top: /* 4. while u is even do */ - while (mp_iseven (&u) == 1) { + while (mp_iseven (&u) == MP_YES) { /* 4.1 u = u/2 */ if ((res = mp_div_2 (&u, &u)) != MP_OKAY) { goto LBL_ERR; } /* 4.2 if B is odd then */ - if (mp_isodd (&B) == 1) { + if (mp_isodd (&B) == MP_YES) { if ((res = mp_sub (&B, &x, &B)) != MP_OKAY) { goto LBL_ERR; } @@ -75,13 +75,13 @@ top: } /* 5. while v is even do */ - while (mp_iseven (&v) == 1) { + while (mp_iseven (&v) == MP_YES) { /* 5.1 v = v/2 */ if ((res = mp_div_2 (&v, &v)) != MP_OKAY) { goto LBL_ERR; } /* 5.2 if D is odd then */ - if (mp_isodd (&D) == 1) { + if (mp_isodd (&D) == MP_YES) { /* D = (D-x)/2 */ if ((res = mp_sub (&D, &x, &D)) != MP_OKAY) { goto LBL_ERR; @@ -115,7 +115,7 @@ top: } /* if not zero goto step 4 */ - if (mp_iszero (&u) == 0) { + if (mp_iszero (&u) == MP_NO) { goto top; } @@ -142,3 +142,7 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL); return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_fast_mp_montgomery_reduce.c b/libtommath/bn_fast_mp_montgomery_reduce.c index e941dc2..a63839d 100644 --- a/libtommath/bn_fast_mp_montgomery_reduce.c +++ b/libtommath/bn_fast_mp_montgomery_reduce.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes xR**-1 == x (mod N) via Montgomery Reduction @@ -32,7 +32,7 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) olduse = x->used; /* grow a as required */ - if (x->alloc < n->used + 1) { + if (x->alloc < (n->used + 1)) { if ((res = mp_grow (x, n->used + 1)) != MP_OKAY) { return res; } @@ -42,8 +42,8 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * an array of double precision words W[...] */ { - register mp_word *_W; - register mp_digit *tmpx; + mp_word *_W; + mp_digit *tmpx; /* alias for the W[] array */ _W = W; @@ -57,7 +57,7 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) } /* zero the high words of W[a->used..m->used*2] */ - for (; ix < n->used * 2 + 1; ix++) { + for (; ix < ((n->used * 2) + 1); ix++) { *_W++ = 0; } } @@ -72,7 +72,7 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * by casting the value down to a mp_digit. Note this requires * that W[ix-1] have the carry cleared (see after the inner loop) */ - register mp_digit mu; + mp_digit mu; mu = (mp_digit) (((W[ix] & MP_MASK) * rho) & MP_MASK); /* a = a + mu * m * b**i @@ -90,9 +90,9 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * first m->used words of W[] have the carries fixed */ { - register int iy; - register mp_digit *tmpn; - register mp_word *_W; + int iy; + mp_digit *tmpn; + mp_word *_W; /* alias for the digits of the modulus */ tmpn = n->dp; @@ -115,8 +115,8 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * significant digits we zeroed]. */ { - register mp_digit *tmpx; - register mp_word *_W, *_W1; + mp_digit *tmpx; + mp_word *_W, *_W1; /* nox fix rest of carries */ @@ -126,7 +126,7 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) /* alias for next word, where the carry goes */ _W = W + ++ix; - for (; ix <= n->used * 2 + 1; ix++) { + for (; ix <= ((n->used * 2) + 1); ix++) { *_W++ += *_W1++ >> ((mp_word) DIGIT_BIT); } @@ -143,7 +143,7 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) /* alias for shifted double precision result */ _W = W + n->used; - for (ix = 0; ix < n->used + 1; ix++) { + for (ix = 0; ix < (n->used + 1); ix++) { *tmpx++ = (mp_digit)(*_W++ & ((mp_word) MP_MASK)); } @@ -166,3 +166,7 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_fast_s_mp_mul_digs.c b/libtommath/bn_fast_s_mp_mul_digs.c index ab157b9..acd13b4 100644 --- a/libtommath/bn_fast_s_mp_mul_digs.c +++ b/libtommath/bn_fast_s_mp_mul_digs.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_FAST_S_MP_MUL_DIGS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* Fast (comba) multiplier @@ -35,7 +35,7 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) { int olduse, res, pa, ix, iz; mp_digit W[MP_WARRAY]; - register mp_word _W; + mp_word _W; /* grow the destination as required */ if (c->alloc < digs) { @@ -78,16 +78,16 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* make next carry */ _W = _W >> ((mp_word)DIGIT_BIT); - } + } /* setup dest */ olduse = c->used; c->used = pa; { - register mp_digit *tmpc; + mp_digit *tmpc; tmpc = c->dp; - for (ix = 0; ix < pa+1; ix++) { + for (ix = 0; ix < (pa + 1); ix++) { /* now extract the previous digit [below the carry] */ *tmpc++ = W[ix]; } @@ -101,3 +101,7 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_fast_s_mp_mul_high_digs.c b/libtommath/bn_fast_s_mp_mul_high_digs.c index ec9f58a..b96cf60 100644 --- a/libtommath/bn_fast_s_mp_mul_high_digs.c +++ b/libtommath/bn_fast_s_mp_mul_high_digs.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* this is a modified version of fast_s_mul_digs that only produces @@ -75,7 +75,7 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) c->used = pa; { - register mp_digit *tmpc; + mp_digit *tmpc; tmpc = c->dp + digs; for (ix = digs; ix < pa; ix++) { @@ -92,3 +92,7 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_fast_s_mp_sqr.c b/libtommath/bn_fast_s_mp_sqr.c index 1abf24b..775c76f 100644 --- a/libtommath/bn_fast_s_mp_sqr.c +++ b/libtommath/bn_fast_s_mp_sqr.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_FAST_S_MP_SQR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* the jist of squaring... @@ -66,7 +66,7 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) * we halve the distance since they approach at a rate of 2x * and we have to round because odd cases need to be executed */ - iy = MIN(iy, (ty-tx+1)>>1); + iy = MIN(iy, ((ty-tx)+1)>>1); /* execute loop */ for (iz = 0; iz < iy; iz++) { @@ -108,3 +108,7 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_2expt.c b/libtommath/bn_mp_2expt.c index a32572d..2845814 100644 --- a/libtommath/bn_mp_2expt.c +++ b/libtommath/bn_mp_2expt.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_2EXPT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes a = 2**b @@ -29,12 +29,12 @@ mp_2expt (mp_int * a, int b) mp_zero (a); /* grow a to accomodate the single bit */ - if ((res = mp_grow (a, b / DIGIT_BIT + 1)) != MP_OKAY) { + if ((res = mp_grow (a, (b / DIGIT_BIT) + 1)) != MP_OKAY) { return res; } /* set the used count of where the bit will go */ - a->used = b / DIGIT_BIT + 1; + a->used = (b / DIGIT_BIT) + 1; /* put the single bit in its place */ a->dp[b / DIGIT_BIT] = ((mp_digit)1) << (b % DIGIT_BIT); @@ -42,3 +42,7 @@ mp_2expt (mp_int * a, int b) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_abs.c b/libtommath/bn_mp_abs.c index dc51884..cc9c3db 100644 --- a/libtommath/bn_mp_abs.c +++ b/libtommath/bn_mp_abs.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_ABS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* b = |a| @@ -37,3 +37,7 @@ mp_abs (mp_int * a, mp_int * b) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_add.c b/libtommath/bn_mp_add.c index d9b8fa5..236fc75 100644 --- a/libtommath/bn_mp_add.c +++ b/libtommath/bn_mp_add.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_ADD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* high level addition (handles signs) */ @@ -47,3 +47,7 @@ int mp_add (mp_int * a, mp_int * b, mp_int * c) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_add_d.c b/libtommath/bn_mp_add_d.c index 5281ad4..26a165b 100644 --- a/libtommath/bn_mp_add_d.c +++ b/libtommath/bn_mp_add_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_ADD_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* single digit addition */ @@ -23,14 +23,14 @@ mp_add_d (mp_int * a, mp_digit b, mp_int * c) mp_digit *tmpa, *tmpc, mu; /* grow c as required */ - if (c->alloc < a->used + 1) { + if (c->alloc < (a->used + 1)) { if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) { return res; } } /* if a is negative and |a| >= b, call c = |a| - b */ - if (a->sign == MP_NEG && (a->used > 1 || a->dp[0] >= b)) { + if ((a->sign == MP_NEG) && ((a->used > 1) || (a->dp[0] >= b))) { /* temporarily fix sign of a */ a->sign = MP_ZPOS; @@ -107,3 +107,7 @@ mp_add_d (mp_int * a, mp_digit b, mp_int * c) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_addmod.c b/libtommath/bn_mp_addmod.c index bff193f..825c928 100644 --- a/libtommath/bn_mp_addmod.c +++ b/libtommath/bn_mp_addmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_ADDMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* d = a + b (mod c) */ @@ -35,3 +35,7 @@ mp_addmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_and.c b/libtommath/bn_mp_and.c index 02bef18..3b6b03e 100644 --- a/libtommath/bn_mp_and.c +++ b/libtommath/bn_mp_and.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_AND_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* AND two ints together */ @@ -51,3 +51,7 @@ mp_and (mp_int * a, mp_int * b, mp_int * c) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_clamp.c b/libtommath/bn_mp_clamp.c index 74887bb..d4fb70d 100644 --- a/libtommath/bn_mp_clamp.c +++ b/libtommath/bn_mp_clamp.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CLAMP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* trim unused digits @@ -28,7 +28,7 @@ mp_clamp (mp_int * a) /* decrease used while the most significant digit is * zero. */ - while (a->used > 0 && a->dp[a->used - 1] == 0) { + while ((a->used > 0) && (a->dp[a->used - 1] == 0)) { --(a->used); } @@ -38,3 +38,7 @@ mp_clamp (mp_int * a) } } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_clear.c b/libtommath/bn_mp_clear.c index bd07e76..17ef9d5 100644 --- a/libtommath/bn_mp_clear.c +++ b/libtommath/bn_mp_clear.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CLEAR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* clear one (frees) */ @@ -38,3 +38,7 @@ mp_clear (mp_int * a) } } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_clear_multi.c b/libtommath/bn_mp_clear_multi.c index c3ad7a8..441a200 100644 --- a/libtommath/bn_mp_clear_multi.c +++ b/libtommath/bn_mp_clear_multi.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CLEAR_MULTI_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ #include @@ -28,3 +28,7 @@ void mp_clear_multi(mp_int *mp, ...) va_end(args); } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_cmp.c b/libtommath/bn_mp_cmp.c index 943249d..15179ca 100644 --- a/libtommath/bn_mp_cmp.c +++ b/libtommath/bn_mp_cmp.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CMP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* compare two ints (signed)*/ @@ -37,3 +37,7 @@ mp_cmp (const mp_int * a, const mp_int * b) } } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_cmp_d.c b/libtommath/bn_mp_cmp_d.c index ecec091..0c9fc86 100644 --- a/libtommath/bn_mp_cmp_d.c +++ b/libtommath/bn_mp_cmp_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CMP_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* compare a digit */ @@ -38,3 +38,7 @@ int mp_cmp_d(const mp_int * a, mp_digit b) } } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_cmp_mag.c b/libtommath/bn_mp_cmp_mag.c index b23a191..a537608 100644 --- a/libtommath/bn_mp_cmp_mag.c +++ b/libtommath/bn_mp_cmp_mag.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CMP_MAG_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* compare maginitude of two ints (unsigned) */ @@ -49,3 +49,7 @@ int mp_cmp_mag (const mp_int * a, const mp_int * b) return MP_EQ; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_cnt_lsb.c b/libtommath/bn_mp_cnt_lsb.c index f205e8c..b638dc4 100644 --- a/libtommath/bn_mp_cnt_lsb.c +++ b/libtommath/bn_mp_cnt_lsb.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CNT_LSB_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ static const int lnz[16] = { @@ -26,12 +26,12 @@ int mp_cnt_lsb(const mp_int *a) mp_digit q, qq; /* easy out */ - if (mp_iszero(a) == 1) { + if (mp_iszero(a) == MP_YES) { return 0; } /* scan lower digits until non-zero */ - for (x = 0; x < a->used && a->dp[x] == 0; x++); + for (x = 0; (x < a->used) && (a->dp[x] == 0); x++) {} q = a->dp[x]; x *= DIGIT_BIT; @@ -47,3 +47,7 @@ int mp_cnt_lsb(const mp_int *a) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_copy.c b/libtommath/bn_mp_copy.c index ffbc0d4..c15f961 100644 --- a/libtommath/bn_mp_copy.c +++ b/libtommath/bn_mp_copy.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_COPY_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* copy, b = a */ @@ -35,7 +35,7 @@ mp_copy (const mp_int * a, mp_int * b) /* zero b and copy the parameters over */ { - register mp_digit *tmpa, *tmpb; + mp_digit *tmpa, *tmpb; /* pointer aliases */ @@ -62,3 +62,7 @@ mp_copy (const mp_int * a, mp_int * b) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_count_bits.c b/libtommath/bn_mp_count_bits.c index 00d364e..47aa569 100644 --- a/libtommath/bn_mp_count_bits.c +++ b/libtommath/bn_mp_count_bits.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_COUNT_BITS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* returns the number of bits in an int */ @@ -39,3 +39,7 @@ mp_count_bits (const mp_int * a) return r; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_div.c b/libtommath/bn_mp_div.c index de4ca04..3ca5d7f 100644 --- a/libtommath/bn_mp_div.c +++ b/libtommath/bn_mp_div.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DIV_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ #ifdef BN_MP_DIV_SMALL @@ -24,7 +24,7 @@ int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) int res, n, n2; /* is divisor zero ? */ - if (mp_iszero (b) == 1) { + if (mp_iszero (b) == MP_YES) { return MP_VAL; } @@ -40,9 +40,9 @@ int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) } return res; } - + /* init our temps */ - if ((res = mp_init_multi(&ta, &tb, &tq, &q, NULL) != MP_OKAY)) { + if ((res = mp_init_multi(&ta, &tb, &tq, &q, NULL)) != MP_OKAY) { return res; } @@ -50,7 +50,7 @@ int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) mp_set(&tq, 1); n = mp_count_bits(a) - mp_count_bits(b); if (((res = mp_abs(a, &ta)) != MP_OKAY) || - ((res = mp_abs(b, &tb)) != MP_OKAY) || + ((res = mp_abs(b, &tb)) != MP_OKAY) || ((res = mp_mul_2d(&tb, n, &tb)) != MP_OKAY) || ((res = mp_mul_2d(&tq, n, &tq)) != MP_OKAY)) { goto LBL_ERR; @@ -71,7 +71,7 @@ int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) /* now q == quotient and ta == remainder */ n = a->sign; - n2 = (a->sign == b->sign ? MP_ZPOS : MP_NEG); + n2 = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; if (c != NULL) { mp_exch(c, &q); c->sign = (mp_iszero(c) == MP_YES) ? MP_ZPOS : n2; @@ -87,17 +87,17 @@ LBL_ERR: #else -/* integer signed division. +/* integer signed division. * c*b + d == a [e.g. a/b, c=quotient, d=remainder] * HAC pp.598 Algorithm 14.20 * - * Note that the description in HAC is horribly - * incomplete. For example, it doesn't consider - * the case where digits are removed from 'x' in - * the inner loop. It also doesn't consider the + * Note that the description in HAC is horribly + * incomplete. For example, it doesn't consider + * the case where digits are removed from 'x' in + * the inner loop. It also doesn't consider the * case that y has fewer than three digits, etc.. * - * The overall algorithm is as described as + * The overall algorithm is as described as * 14.20 from HAC but fixed to treat these cases. */ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) @@ -106,7 +106,7 @@ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) int res, n, t, i, norm, neg; /* is divisor zero ? */ - if (mp_iszero (b) == 1) { + if (mp_iszero (b) == MP_YES) { return MP_VAL; } @@ -187,51 +187,52 @@ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) continue; } - /* step 3.1 if xi == yt then set q{i-t-1} to b-1, + /* step 3.1 if xi == yt then set q{i-t-1} to b-1, * otherwise set q{i-t-1} to (xi*b + x{i-1})/yt */ if (x.dp[i] == y.dp[t]) { - q.dp[i - t - 1] = ((((mp_digit)1) << DIGIT_BIT) - 1); + q.dp[(i - t) - 1] = ((((mp_digit)1) << DIGIT_BIT) - 1); } else { mp_word tmp; tmp = ((mp_word) x.dp[i]) << ((mp_word) DIGIT_BIT); tmp |= ((mp_word) x.dp[i - 1]); tmp /= ((mp_word) y.dp[t]); - if (tmp > (mp_word) MP_MASK) + if (tmp > (mp_word) MP_MASK) { tmp = MP_MASK; - q.dp[i - t - 1] = (mp_digit) (tmp & (mp_word) (MP_MASK)); + } + q.dp[(i - t) - 1] = (mp_digit) (tmp & (mp_word) (MP_MASK)); } - /* while (q{i-t-1} * (yt * b + y{t-1})) > - xi * b**2 + xi-1 * b + xi-2 - - do q{i-t-1} -= 1; + /* while (q{i-t-1} * (yt * b + y{t-1})) > + xi * b**2 + xi-1 * b + xi-2 + + do q{i-t-1} -= 1; */ - q.dp[i - t - 1] = (q.dp[i - t - 1] + 1) & MP_MASK; + q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] + 1) & MP_MASK; do { - q.dp[i - t - 1] = (q.dp[i - t - 1] - 1) & MP_MASK; + q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] - 1) & MP_MASK; /* find left hand */ mp_zero (&t1); - t1.dp[0] = (t - 1 < 0) ? 0 : y.dp[t - 1]; + t1.dp[0] = ((t - 1) < 0) ? 0 : y.dp[t - 1]; t1.dp[1] = y.dp[t]; t1.used = 2; - if ((res = mp_mul_d (&t1, q.dp[i - t - 1], &t1)) != MP_OKAY) { + if ((res = mp_mul_d (&t1, q.dp[(i - t) - 1], &t1)) != MP_OKAY) { goto LBL_Y; } /* find right hand */ - t2.dp[0] = (i - 2 < 0) ? 0 : x.dp[i - 2]; - t2.dp[1] = (i - 1 < 0) ? 0 : x.dp[i - 1]; + t2.dp[0] = ((i - 2) < 0) ? 0 : x.dp[i - 2]; + t2.dp[1] = ((i - 1) < 0) ? 0 : x.dp[i - 1]; t2.dp[2] = x.dp[i]; t2.used = 3; } while (mp_cmp_mag(&t1, &t2) == MP_GT); /* step 3.3 x = x - q{i-t-1} * y * b**{i-t-1} */ - if ((res = mp_mul_d (&y, q.dp[i - t - 1], &t1)) != MP_OKAY) { + if ((res = mp_mul_d (&y, q.dp[(i - t) - 1], &t1)) != MP_OKAY) { goto LBL_Y; } - if ((res = mp_lshd (&t1, i - t - 1)) != MP_OKAY) { + if ((res = mp_lshd (&t1, (i - t) - 1)) != MP_OKAY) { goto LBL_Y; } @@ -244,23 +245,23 @@ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) if ((res = mp_copy (&y, &t1)) != MP_OKAY) { goto LBL_Y; } - if ((res = mp_lshd (&t1, i - t - 1)) != MP_OKAY) { + if ((res = mp_lshd (&t1, (i - t) - 1)) != MP_OKAY) { goto LBL_Y; } if ((res = mp_add (&x, &t1, &x)) != MP_OKAY) { goto LBL_Y; } - q.dp[i - t - 1] = (q.dp[i - t - 1] - 1UL) & MP_MASK; + q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] - 1UL) & MP_MASK; } } - /* now q is the quotient and x is the remainder - * [which we have to normalize] + /* now q is the quotient and x is the remainder + * [which we have to normalize] */ - + /* get sign before writing to c */ - x.sign = x.used == 0 ? MP_ZPOS : a->sign; + x.sign = (x.used == 0) ? MP_ZPOS : a->sign; if (c != NULL) { mp_clamp (&q); @@ -269,7 +270,9 @@ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } if (d != NULL) { - mp_div_2d (&x, norm, &x, NULL); + if ((res = mp_div_2d (&x, norm, &x, NULL)) != MP_OKAY) { + goto LBL_Y; + } mp_exch (&x, d); } @@ -286,3 +289,7 @@ LBL_Q:mp_clear (&q); #endif #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_div_2.c b/libtommath/bn_mp_div_2.c index 186a959..d2a213f 100644 --- a/libtommath/bn_mp_div_2.c +++ b/libtommath/bn_mp_div_2.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DIV_2_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* b = a/2 */ @@ -30,7 +30,7 @@ int mp_div_2(mp_int * a, mp_int * b) oldused = b->used; b->used = a->used; { - register mp_digit r, rr, *tmpa, *tmpb; + mp_digit r, rr, *tmpa, *tmpb; /* source alias */ tmpa = a->dp + b->used - 1; @@ -62,3 +62,7 @@ int mp_div_2(mp_int * a, mp_int * b) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_div_2d.c b/libtommath/bn_mp_div_2d.c index d7b7e05..49d7479 100644 --- a/libtommath/bn_mp_div_2d.c +++ b/libtommath/bn_mp_div_2d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DIV_2D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* shift right by a certain bit count (store quotient in c, optional remainder in d) */ @@ -58,7 +58,7 @@ int mp_div_2d (const mp_int * a, int b, mp_int * c, mp_int * d) /* shift any bit count < DIGIT_BIT */ D = (mp_digit) (b % DIGIT_BIT); if (D != 0) { - register mp_digit *tmpc, mask, shift; + mp_digit *tmpc, mask, shift; /* mask */ mask = (((mp_digit)1) << D) - 1; @@ -91,3 +91,7 @@ int mp_div_2d (const mp_int * a, int b, mp_int * c, mp_int * d) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_div_3.c b/libtommath/bn_mp_div_3.c index 79a9816..c2b76fb 100644 --- a/libtommath/bn_mp_div_3.c +++ b/libtommath/bn_mp_div_3.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DIV_3_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* divide by three (based on routine from MPI and the GMP manual) */ @@ -73,3 +73,7 @@ mp_div_3 (mp_int * a, mp_int *c, mp_digit * d) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_div_d.c b/libtommath/bn_mp_div_d.c index af18d0a..4df1d36 100644 --- a/libtommath/bn_mp_div_d.c +++ b/libtommath/bn_mp_div_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DIV_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,18 +12,19 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ static int s_is_power_of_two(mp_digit b, int *p) { int x; - /* quick out - if (b & (b-1)) isn't zero, b isn't a power of two */ - if ((b==0) || (b & (b-1))) { - return 0; + /* fast return if no power of two */ + if ((b == 0) || ((b & (b-1)) != 0)) { + return 0; } - for (x = 1; x < DIGIT_BIT; x++) { + + for (x = 0; x < DIGIT_BIT; x++) { if (b == (((mp_digit)1)< +#include #ifdef BN_MP_DR_IS_MODULUS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines if a number is a valid DR modulus */ @@ -37,3 +37,7 @@ int mp_dr_is_modulus(mp_int *a) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_dr_reduce.c b/libtommath/bn_mp_dr_reduce.c index 8337591..2273c79 100644 --- a/libtommath/bn_mp_dr_reduce.c +++ b/libtommath/bn_mp_dr_reduce.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DR_REDUCE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* reduce "x" in place modulo "n" using the Diminished Radix algorithm. @@ -40,7 +40,7 @@ mp_dr_reduce (mp_int * x, mp_int * n, mp_digit k) m = n->used; /* ensure that "x" has at least 2m digits */ - if (x->alloc < m + m) { + if (x->alloc < (m + m)) { if ((err = mp_grow (x, m + m)) != MP_OKAY) { return err; } @@ -62,7 +62,7 @@ top: /* compute (x mod B**m) + k * [x/B**m] inline and inplace */ for (i = 0; i < m; i++) { - r = ((mp_word)*tmpx2++) * ((mp_word)k) + *tmpx1 + mu; + r = (((mp_word)*tmpx2++) * (mp_word)k) + *tmpx1 + mu; *tmpx1++ = (mp_digit)(r & MP_MASK); mu = (mp_digit)(r >> ((mp_word)DIGIT_BIT)); } @@ -82,9 +82,15 @@ top: * Each successive "recursion" makes the input smaller and smaller. */ if (mp_cmp_mag (x, n) != MP_LT) { - s_mp_sub(x, n, x); + if ((err = s_mp_sub(x, n, x)) != MP_OKAY) { + return err; + } goto top; } return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_dr_setup.c b/libtommath/bn_mp_dr_setup.c index de00e2d..1bccb2b 100644 --- a/libtommath/bn_mp_dr_setup.c +++ b/libtommath/bn_mp_dr_setup.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DR_SETUP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines the setup value */ @@ -26,3 +26,7 @@ void mp_dr_setup(mp_int *a, mp_digit *d) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_exch.c b/libtommath/bn_mp_exch.c index b7bd186..634193b 100644 --- a/libtommath/bn_mp_exch.c +++ b/libtommath/bn_mp_exch.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_EXCH_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* swap the elements of two integers, for cases where you can't simply swap the @@ -28,3 +28,7 @@ mp_exch (mp_int * a, mp_int * b) *b = t; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_expt_d.c b/libtommath/bn_mp_expt_d.c index 132f480..61c5a1d 100644 --- a/libtommath/bn_mp_expt_d.c +++ b/libtommath/bn_mp_expt_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_EXPT_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,42 +12,17 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* calculate c = a**b using a square-multiply algorithm */ +/* wrapper function for mp_expt_d_ex() */ int mp_expt_d (mp_int * a, mp_digit b, mp_int * c) { - int res, x; - mp_int g; - - if ((res = mp_init_copy (&g, a)) != MP_OKAY) { - return res; - } - - /* set initial result */ - mp_set (c, 1); - - for (x = 0; x < (int) DIGIT_BIT; x++) { - /* square */ - if ((res = mp_sqr (c, c)) != MP_OKAY) { - mp_clear (&g); - return res; - } - - /* if the bit is set multiply */ - if ((b & (mp_digit) (((mp_digit)1) << (DIGIT_BIT - 1))) != 0) { - if ((res = mp_mul (c, &g, c)) != MP_OKAY) { - mp_clear (&g); - return res; - } - } - - /* shift to next bit */ - b <<= 1; - } - - mp_clear (&g); - return MP_OKAY; + return mp_expt_d_ex(a, b, c, 0); } + #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_exptmod.c b/libtommath/bn_mp_exptmod.c index b7d9fb7..0973e44 100644 --- a/libtommath/bn_mp_exptmod.c +++ b/libtommath/bn_mp_exptmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_EXPTMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ @@ -89,7 +89,7 @@ int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) /* if the modulus is odd or dr != 0 use the montgomery method */ #ifdef BN_MP_EXPTMOD_FAST_C - if (mp_isodd (P) == 1 || dr != 0) { + if ((mp_isodd (P) == MP_YES) || (dr != 0)) { return mp_exptmod_fast (G, X, P, Y, dr); } else { #endif @@ -106,3 +106,7 @@ int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_exptmod_fast.c b/libtommath/bn_mp_exptmod_fast.c index 1902e79..8d280bd 100644 --- a/libtommath/bn_mp_exptmod_fast.c +++ b/libtommath/bn_mp_exptmod_fast.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_EXPTMOD_FAST_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes Y == G**X mod P, HAC pp.616, Algorithm 14.85 @@ -96,8 +96,8 @@ int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode /* automatically pick the comba one if available (saves quite a few calls/ifs) */ #ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C - if (((P->used * 2 + 1) < MP_WARRAY) && - P->used < (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + if ((((P->used * 2) + 1) < MP_WARRAY) && + (P->used < (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { redux = fast_mp_montgomery_reduce; } else #endif @@ -219,12 +219,12 @@ int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode * in the exponent. Technically this opt is not required but it * does lower the # of trivial squaring/reductions used */ - if (mode == 0 && y == 0) { + if ((mode == 0) && (y == 0)) { continue; } /* if the bit is zero and mode == 1 then we square */ - if (mode == 1 && y == 0) { + if ((mode == 1) && (y == 0)) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { goto LBL_RES; } @@ -266,7 +266,7 @@ int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode } /* if bits remain then square/multiply */ - if (mode == 2 && bitcpy > 0) { + if ((mode == 2) && (bitcpy > 0)) { /* square then multiply if the bit is set */ for (x = 0; x < bitcpy; x++) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { @@ -314,3 +314,8 @@ LBL_M: return err; } #endif + + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_exteuclid.c b/libtommath/bn_mp_exteuclid.c index 2e69ce1..fbbd92c 100644 --- a/libtommath/bn_mp_exteuclid.c +++ b/libtommath/bn_mp_exteuclid.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_EXTEUCLID_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,10 +12,10 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* Extended euclidean algorithm of (a, b) produces +/* Extended euclidean algorithm of (a, b) produces a*u1 + b*u2 = u3 */ int mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3) @@ -61,9 +61,9 @@ int mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3) /* make sure U3 >= 0 */ if (u3.sign == MP_NEG) { - mp_neg(&u1, &u1); - mp_neg(&u2, &u2); - mp_neg(&u3, &u3); + if ((err = mp_neg(&u1, &u1)) != MP_OKAY) { goto _ERR; } + if ((err = mp_neg(&u2, &u2)) != MP_OKAY) { goto _ERR; } + if ((err = mp_neg(&u3, &u3)) != MP_OKAY) { goto _ERR; } } /* copy result out */ @@ -76,3 +76,7 @@ _ERR: mp_clear_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL return err; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_fread.c b/libtommath/bn_mp_fread.c index 44e1ea8..a4fa8c9 100644 --- a/libtommath/bn_mp_fread.c +++ b/libtommath/bn_mp_fread.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_FREAD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* read a bigint from a file stream in ASCII */ @@ -61,3 +61,7 @@ int mp_fread(mp_int *a, int radix, FILE *stream) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_fwrite.c b/libtommath/bn_mp_fwrite.c index b0ec29e..90f1fc5 100644 --- a/libtommath/bn_mp_fwrite.c +++ b/libtommath/bn_mp_fwrite.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_FWRITE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ int mp_fwrite(mp_int *a, int radix, FILE *stream) @@ -46,3 +46,7 @@ int mp_fwrite(mp_int *a, int radix, FILE *stream) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_gcd.c b/libtommath/bn_mp_gcd.c index 68cfa03..16acfd9 100644 --- a/libtommath/bn_mp_gcd.c +++ b/libtommath/bn_mp_gcd.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_GCD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* Greatest Common Divisor using the binary method */ @@ -70,7 +70,7 @@ int mp_gcd (mp_int * a, mp_int * b, mp_int * c) } } - while (mp_iszero(&v) == 0) { + while (mp_iszero(&v) == MP_NO) { /* make sure v is the largest */ if (mp_cmp_mag(&u, &v) == MP_GT) { /* swap u and v to make sure v is >= u */ @@ -99,3 +99,7 @@ LBL_U:mp_clear (&v); return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_get_int.c b/libtommath/bn_mp_get_int.c index 762cb23..99fb850 100644 --- a/libtommath/bn_mp_get_int.c +++ b/libtommath/bn_mp_get_int.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_GET_INT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,25 +12,25 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* get the lower 32-bits of an mp_int */ -unsigned long mp_get_int(mp_int * a) +unsigned long mp_get_int(mp_int * a) { int i; - unsigned long res; + mp_min_u32 res; if (a->used == 0) { return 0; } /* get number of digits of the lsb we have to read */ - i = MIN(a->used,(int)((sizeof(unsigned long)*CHAR_BIT+DIGIT_BIT-1)/DIGIT_BIT))-1; + i = MIN(a->used,(int)(((sizeof(unsigned long) * CHAR_BIT) + DIGIT_BIT - 1) / DIGIT_BIT)) - 1; /* get most significant digit of result */ res = DIGIT(a,i); - + while (--i >= 0) { res = (res << DIGIT_BIT) | DIGIT(a,i); } @@ -39,3 +39,7 @@ unsigned long mp_get_int(mp_int * a) return res & 0xFFFFFFFFUL; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_grow.c b/libtommath/bn_mp_grow.c index b5b2407..cbdcfed 100644 --- a/libtommath/bn_mp_grow.c +++ b/libtommath/bn_mp_grow.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_GROW_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* grow as required */ @@ -51,3 +51,7 @@ int mp_grow (mp_int * a, int size) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_init.c b/libtommath/bn_mp_init.c index ddb2d07..7a57730 100644 --- a/libtommath/bn_mp_init.c +++ b/libtommath/bn_mp_init.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INIT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* init a new mp_int */ @@ -40,3 +40,7 @@ int mp_init (mp_int * a) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_init_copy.c b/libtommath/bn_mp_init_copy.c index 2410a9f..9e15f36 100644 --- a/libtommath/bn_mp_init_copy.c +++ b/libtommath/bn_mp_init_copy.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INIT_COPY_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* creates "a" then copies b into it */ @@ -20,9 +20,13 @@ int mp_init_copy (mp_int * a, mp_int * b) { int res; - if ((res = mp_init (a)) != MP_OKAY) { + if ((res = mp_init_size (a, b->used)) != MP_OKAY) { return res; } return mp_copy (b, a); } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_init_multi.c b/libtommath/bn_mp_init_multi.c index 44e3fe6..52220a3 100644 --- a/libtommath/bn_mp_init_multi.c +++ b/libtommath/bn_mp_init_multi.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INIT_MULTI_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ #include @@ -37,7 +37,7 @@ int mp_init_multi(mp_int *mp, ...) /* now start cleaning up */ cur_arg = mp; va_start(clean_args, mp); - while (n--) { + while (n-- != 0) { mp_clear(cur_arg); cur_arg = va_arg(clean_args, mp_int*); } @@ -53,3 +53,7 @@ int mp_init_multi(mp_int *mp, ...) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_init_set.c b/libtommath/bn_mp_init_set.c index dc08867..c337e50 100644 --- a/libtommath/bn_mp_init_set.c +++ b/libtommath/bn_mp_init_set.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INIT_SET_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* initialize and set a digit */ @@ -26,3 +26,7 @@ int mp_init_set (mp_int * a, mp_digit b) return err; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_init_set_int.c b/libtommath/bn_mp_init_set_int.c index 56b27e0..c88f14e 100644 --- a/libtommath/bn_mp_init_set_int.c +++ b/libtommath/bn_mp_init_set_int.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INIT_SET_INT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* initialize and set a digit */ @@ -25,3 +25,7 @@ int mp_init_set_int (mp_int * a, unsigned long b) return mp_set_int(a, b); } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_init_size.c b/libtommath/bn_mp_init_size.c index 8ed2c2a..e1d1b51 100644 --- a/libtommath/bn_mp_init_size.c +++ b/libtommath/bn_mp_init_size.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INIT_SIZE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* init an mp_init for a given size */ @@ -42,3 +42,7 @@ int mp_init_size (mp_int * a, int size) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_invmod.c b/libtommath/bn_mp_invmod.c index fdb6c88..44951e5 100644 --- a/libtommath/bn_mp_invmod.c +++ b/libtommath/bn_mp_invmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INVMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,28 +12,32 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* hac 14.61, pp608 */ int mp_invmod (mp_int * a, mp_int * b, mp_int * c) { /* b cannot be negative */ - if (b->sign == MP_NEG || mp_iszero(b) == 1) { + if ((b->sign == MP_NEG) || (mp_iszero(b) == MP_YES)) { return MP_VAL; } #ifdef BN_FAST_MP_INVMOD_C /* if the modulus is odd we can use a faster routine instead */ - if (mp_isodd (b) == 1) { + if (mp_isodd (b) == MP_YES) { return fast_mp_invmod (a, b, c); } #endif #ifdef BN_MP_INVMOD_SLOW_C return mp_invmod_slow(a, b, c); -#endif - +#else return MP_VAL; +#endif } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_invmod_slow.c b/libtommath/bn_mp_invmod_slow.c index e079819..a21f947 100644 --- a/libtommath/bn_mp_invmod_slow.c +++ b/libtommath/bn_mp_invmod_slow.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INVMOD_SLOW_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* hac 14.61, pp608 */ @@ -22,7 +22,7 @@ int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c) int res; /* b cannot be negative */ - if (b->sign == MP_NEG || mp_iszero(b) == 1) { + if ((b->sign == MP_NEG) || (mp_iszero(b) == MP_YES)) { return MP_VAL; } @@ -41,7 +41,7 @@ int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c) } /* 2. [modified] if x,y are both even then return an error! */ - if (mp_iseven (&x) == 1 && mp_iseven (&y) == 1) { + if ((mp_iseven (&x) == MP_YES) && (mp_iseven (&y) == MP_YES)) { res = MP_VAL; goto LBL_ERR; } @@ -58,13 +58,13 @@ int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c) top: /* 4. while u is even do */ - while (mp_iseven (&u) == 1) { + while (mp_iseven (&u) == MP_YES) { /* 4.1 u = u/2 */ if ((res = mp_div_2 (&u, &u)) != MP_OKAY) { goto LBL_ERR; } /* 4.2 if A or B is odd then */ - if (mp_isodd (&A) == 1 || mp_isodd (&B) == 1) { + if ((mp_isodd (&A) == MP_YES) || (mp_isodd (&B) == MP_YES)) { /* A = (A+y)/2, B = (B-x)/2 */ if ((res = mp_add (&A, &y, &A)) != MP_OKAY) { goto LBL_ERR; @@ -83,13 +83,13 @@ top: } /* 5. while v is even do */ - while (mp_iseven (&v) == 1) { + while (mp_iseven (&v) == MP_YES) { /* 5.1 v = v/2 */ if ((res = mp_div_2 (&v, &v)) != MP_OKAY) { goto LBL_ERR; } /* 5.2 if C or D is odd then */ - if (mp_isodd (&C) == 1 || mp_isodd (&D) == 1) { + if ((mp_isodd (&C) == MP_YES) || (mp_isodd (&D) == MP_YES)) { /* C = (C+y)/2, D = (D-x)/2 */ if ((res = mp_add (&C, &y, &C)) != MP_OKAY) { goto LBL_ERR; @@ -137,7 +137,7 @@ top: } /* if not zero goto step 4 */ - if (mp_iszero (&u) == 0) + if (mp_iszero (&u) == MP_NO) goto top; /* now a = C, b = D, gcd == g*v */ @@ -169,3 +169,7 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_is_square.c b/libtommath/bn_mp_is_square.c index 926b449..9f065ef 100644 --- a/libtommath/bn_mp_is_square.c +++ b/libtommath/bn_mp_is_square.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_IS_SQUARE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* Check if remainders are possible squares - fast exclude non-squares */ @@ -82,13 +82,13 @@ int mp_is_square(mp_int *arg,int *ret) * free "t" so the easiest way is to goto ERR. We know that res * is already equal to MP_OKAY from the mp_mod call */ - if ( (1L<<(r%11)) & 0x5C4L ) goto ERR; - if ( (1L<<(r%13)) & 0x9E4L ) goto ERR; - if ( (1L<<(r%17)) & 0x5CE8L ) goto ERR; - if ( (1L<<(r%19)) & 0x4F50CL ) goto ERR; - if ( (1L<<(r%23)) & 0x7ACCA0L ) goto ERR; - if ( (1L<<(r%29)) & 0xC2EDD0CL ) goto ERR; - if ( (1L<<(r%31)) & 0x6DE2B848L ) goto ERR; + if (((1L<<(r%11)) & 0x5C4L) != 0L) goto ERR; + if (((1L<<(r%13)) & 0x9E4L) != 0L) goto ERR; + if (((1L<<(r%17)) & 0x5CE8L) != 0L) goto ERR; + if (((1L<<(r%19)) & 0x4F50CL) != 0L) goto ERR; + if (((1L<<(r%23)) & 0x7ACCA0L) != 0L) goto ERR; + if (((1L<<(r%29)) & 0xC2EDD0CL) != 0L) goto ERR; + if (((1L<<(r%31)) & 0x6DE2B848L) != 0L) goto ERR; /* Final check - is sqr(sqrt(arg)) == arg ? */ if ((res = mp_sqrt(arg,&t)) != MP_OKAY) { @@ -103,3 +103,7 @@ ERR:mp_clear(&t); return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_jacobi.c b/libtommath/bn_mp_jacobi.c index 1644698..3c114e3 100644 --- a/libtommath/bn_mp_jacobi.c +++ b/libtommath/bn_mp_jacobi.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_JACOBI_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,27 +12,39 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes the jacobi c = (a | n) (or Legendre if n is prime) * HAC pp. 73 Algorithm 2.149 + * HAC is wrong here, as the special case of (0 | 1) is not + * handled correctly. */ -int mp_jacobi (mp_int * a, mp_int * p, int *c) +int mp_jacobi (mp_int * a, mp_int * n, int *c) { mp_int a1, p1; int k, s, r, res; mp_digit residue; - /* if p <= 0 return MP_VAL */ - if (mp_cmp_d(p, 0) != MP_GT) { + /* if a < 0 return MP_VAL */ + if (mp_isneg(a) == MP_YES) { return MP_VAL; } - /* step 1. if a == 0, return 0 */ - if (mp_iszero (a) == 1) { - *c = 0; - return MP_OKAY; + /* if n <= 0 return MP_VAL */ + if (mp_cmp_d(n, 0) != MP_GT) { + return MP_VAL; + } + + /* step 1. handle case of a == 0 */ + if (mp_iszero (a) == MP_YES) { + /* special case of a == 0 and n == 1 */ + if (mp_cmp_d (n, 1) == MP_EQ) { + *c = 1; + } else { + *c = 0; + } + return MP_OKAY; } /* step 2. if a == 1, return 1 */ @@ -64,17 +76,17 @@ int mp_jacobi (mp_int * a, mp_int * p, int *c) s = 1; } else { /* else set s=1 if p = 1/7 (mod 8) or s=-1 if p = 3/5 (mod 8) */ - residue = p->dp[0] & 7; + residue = n->dp[0] & 7; - if (residue == 1 || residue == 7) { + if ((residue == 1) || (residue == 7)) { s = 1; - } else if (residue == 3 || residue == 5) { + } else if ((residue == 3) || (residue == 5)) { s = -1; } } /* step 5. if p == 3 (mod 4) *and* a1 == 3 (mod 4) then s = -s */ - if ( ((p->dp[0] & 3) == 3) && ((a1.dp[0] & 3) == 3)) { + if ( ((n->dp[0] & 3) == 3) && ((a1.dp[0] & 3) == 3)) { s = -s; } @@ -83,7 +95,7 @@ int mp_jacobi (mp_int * a, mp_int * p, int *c) *c = s; } else { /* n1 = n mod a1 */ - if ((res = mp_mod (p, &a1, &p1)) != MP_OKAY) { + if ((res = mp_mod (n, &a1, &p1)) != MP_OKAY) { goto LBL_P1; } if ((res = mp_jacobi (&p1, &a1, &r)) != MP_OKAY) { @@ -99,3 +111,7 @@ LBL_A1:mp_clear (&a1); return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_karatsuba_mul.c b/libtommath/bn_mp_karatsuba_mul.c index 0d62b9b..d65e37e 100644 --- a/libtommath/bn_mp_karatsuba_mul.c +++ b/libtommath/bn_mp_karatsuba_mul.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_KARATSUBA_MUL_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* c = |a| * |b| using Karatsuba Multiplication using @@ -82,8 +82,8 @@ int mp_karatsuba_mul (mp_int * a, mp_int * b, mp_int * c) y1.used = b->used - B; { - register int x; - register mp_digit *tmpa, *tmpb, *tmpx, *tmpy; + int x; + mp_digit *tmpa, *tmpb, *tmpx, *tmpy; /* we copy the digits directly instead of using higher level functions * since we also need to shift the digits @@ -161,3 +161,7 @@ ERR: return err; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_karatsuba_sqr.c b/libtommath/bn_mp_karatsuba_sqr.c index 829405a..739840d 100644 --- a/libtommath/bn_mp_karatsuba_sqr.c +++ b/libtommath/bn_mp_karatsuba_sqr.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_KARATSUBA_SQR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* Karatsuba squaring, computes b = a*a using three @@ -52,8 +52,8 @@ int mp_karatsuba_sqr (mp_int * a, mp_int * b) goto X0X0; { - register int x; - register mp_digit *dst, *src; + int x; + mp_digit *dst, *src; src = a->dp; @@ -115,3 +115,7 @@ ERR: return err; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_lcm.c b/libtommath/bn_mp_lcm.c index 1d53921..3bff571 100644 --- a/libtommath/bn_mp_lcm.c +++ b/libtommath/bn_mp_lcm.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_LCM_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes least common multiple as |a*b|/(a, b) */ @@ -54,3 +54,7 @@ LBL_T: return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_lshd.c b/libtommath/bn_mp_lshd.c index ce1e63b..f6f800f 100644 --- a/libtommath/bn_mp_lshd.c +++ b/libtommath/bn_mp_lshd.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_LSHD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* shift left a certain amount of digits */ @@ -26,14 +26,14 @@ int mp_lshd (mp_int * a, int b) } /* grow to fit the new digits */ - if (a->alloc < a->used + b) { + if (a->alloc < (a->used + b)) { if ((res = mp_grow (a, a->used + b)) != MP_OKAY) { return res; } } { - register mp_digit *top, *bottom; + mp_digit *top, *bottom; /* increment the used by the shift amount then copy upwards */ a->used += b; @@ -42,7 +42,7 @@ int mp_lshd (mp_int * a, int b) top = a->dp + a->used - 1; /* base */ - bottom = a->dp + a->used - 1 - b; + bottom = (a->dp + a->used - 1) - b; /* much like mp_rshd this is implemented using a sliding window * except the window goes the otherway around. Copying from @@ -61,3 +61,7 @@ int mp_lshd (mp_int * a, int b) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mod.c b/libtommath/bn_mp_mod.c index 98e155e..b67467d 100644 --- a/libtommath/bn_mp_mod.c +++ b/libtommath/bn_mp_mod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,10 +12,10 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* c = a mod b, 0 <= c < b */ +/* c = a mod b, 0 <= c < b if b > 0, b < c <= 0 if b < 0 */ int mp_mod (mp_int * a, mp_int * b, mp_int * c) { @@ -31,14 +31,18 @@ mp_mod (mp_int * a, mp_int * b, mp_int * c) return res; } - if (t.sign != b->sign) { - res = mp_add (b, &t, c); - } else { + if ((mp_iszero(&t) != MP_NO) || (t.sign == b->sign)) { res = MP_OKAY; mp_exch (&t, c); + } else { + res = mp_add (b, &t, c); } mp_clear (&t); return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mod_2d.c b/libtommath/bn_mp_mod_2d.c index 0170f65..954d64f 100644 --- a/libtommath/bn_mp_mod_2d.c +++ b/libtommath/bn_mp_mod_2d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MOD_2D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* calc a value mod 2**b */ @@ -39,7 +39,7 @@ mp_mod_2d (const mp_int * a, int b, mp_int * c) } /* zero digits above the last digit of the modulus */ - for (x = (b / DIGIT_BIT) + ((b % DIGIT_BIT) == 0 ? 0 : 1); x < c->used; x++) { + for (x = (b / DIGIT_BIT) + (((b % DIGIT_BIT) == 0) ? 0 : 1); x < c->used; x++) { c->dp[x] = 0; } /* clear the digit that is not completely outside/inside the modulus */ @@ -49,3 +49,7 @@ mp_mod_2d (const mp_int * a, int b, mp_int * c) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mod_d.c b/libtommath/bn_mp_mod_d.c index f642ee8..d8722f0 100644 --- a/libtommath/bn_mp_mod_d.c +++ b/libtommath/bn_mp_mod_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MOD_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ int @@ -21,3 +21,7 @@ mp_mod_d (mp_int * a, mp_digit b, mp_digit * c) return mp_div_d(a, b, NULL, c); } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_montgomery_calc_normalization.c b/libtommath/bn_mp_montgomery_calc_normalization.c index 0748762..ea87cbd 100644 --- a/libtommath/bn_mp_montgomery_calc_normalization.c +++ b/libtommath/bn_mp_montgomery_calc_normalization.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MONTGOMERY_CALC_NORMALIZATION_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* @@ -29,7 +29,7 @@ int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) bits = mp_count_bits (b) % DIGIT_BIT; if (b->used > 1) { - if ((res = mp_2expt (a, (b->used - 1) * DIGIT_BIT + bits - 1)) != MP_OKAY) { + if ((res = mp_2expt (a, ((b->used - 1) * DIGIT_BIT) + bits - 1)) != MP_OKAY) { return res; } } else { @@ -53,3 +53,7 @@ int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_montgomery_reduce.c b/libtommath/bn_mp_montgomery_reduce.c index bc6abb8..af2cc58 100644 --- a/libtommath/bn_mp_montgomery_reduce.c +++ b/libtommath/bn_mp_montgomery_reduce.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MONTGOMERY_REDUCE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes xR**-1 == x (mod N) via Montgomery Reduction */ @@ -28,10 +28,10 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * than the available columns [255 per default] since carries * are fixed up in the inner loop. */ - digs = n->used * 2 + 1; + digs = (n->used * 2) + 1; if ((digs < MP_WARRAY) && - n->used < - (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + (n->used < + (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { return fast_mp_montgomery_reduce (x, n, rho); } @@ -52,13 +52,13 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * following inner loop to reduce the * input one digit at a time */ - mu = (mp_digit) (((mp_word)x->dp[ix]) * ((mp_word)rho) & MP_MASK); + mu = (mp_digit) (((mp_word)x->dp[ix] * (mp_word)rho) & MP_MASK); /* a = a + mu * m * b**i */ { - register int iy; - register mp_digit *tmpn, *tmpx, u; - register mp_word r; + int iy; + mp_digit *tmpn, *tmpx, u; + mp_word r; /* alias for digits of the modulus */ tmpn = n->dp; @@ -72,8 +72,8 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) /* Multiply and add in place */ for (iy = 0; iy < n->used; iy++) { /* compute product and sum */ - r = ((mp_word)mu) * ((mp_word)*tmpn++) + - ((mp_word) u) + ((mp_word) * tmpx); + r = ((mp_word)mu * (mp_word)*tmpn++) + + (mp_word) u + (mp_word) *tmpx; /* get carry */ u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); @@ -85,7 +85,7 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) /* propagate carries upwards as required*/ - while (u) { + while (u != 0) { *tmpx += u; u = *tmpx >> DIGIT_BIT; *tmpx++ &= MP_MASK; @@ -112,3 +112,7 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_montgomery_setup.c b/libtommath/bn_mp_montgomery_setup.c index b8e1887..264a2bd 100644 --- a/libtommath/bn_mp_montgomery_setup.c +++ b/libtommath/bn_mp_montgomery_setup.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MONTGOMERY_SETUP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* setups the montgomery reduction stuff */ @@ -36,20 +36,24 @@ mp_montgomery_setup (mp_int * n, mp_digit * rho) } x = (((b + 2) & 4) << 1) + b; /* here x*a==1 mod 2**4 */ - x *= 2 - b * x; /* here x*a==1 mod 2**8 */ + x *= 2 - (b * x); /* here x*a==1 mod 2**8 */ #if !defined(MP_8BIT) - x *= 2 - b * x; /* here x*a==1 mod 2**16 */ + x *= 2 - (b * x); /* here x*a==1 mod 2**16 */ #endif #if defined(MP_64BIT) || !(defined(MP_8BIT) || defined(MP_16BIT)) - x *= 2 - b * x; /* here x*a==1 mod 2**32 */ + x *= 2 - (b * x); /* here x*a==1 mod 2**32 */ #endif #ifdef MP_64BIT - x *= 2 - b * x; /* here x*a==1 mod 2**64 */ + x *= 2 - (b * x); /* here x*a==1 mod 2**64 */ #endif /* rho = -1/m mod b */ - *rho = (unsigned long)(((mp_word)1 << ((mp_word) DIGIT_BIT)) - x) & MP_MASK; + *rho = (mp_digit)(((mp_word)1 << ((mp_word) DIGIT_BIT)) - x) & MP_MASK; return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mul.c b/libtommath/bn_mp_mul.c index fc024be..ea53d5e 100644 --- a/libtommath/bn_mp_mul.c +++ b/libtommath/bn_mp_mul.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MUL_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* high level multiplication (handles sign) */ @@ -44,19 +44,24 @@ int mp_mul (mp_int * a, mp_int * b, mp_int * c) #ifdef BN_FAST_S_MP_MUL_DIGS_C if ((digs < MP_WARRAY) && - MIN(a->used, b->used) <= - (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + (MIN(a->used, b->used) <= + (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { res = fast_s_mp_mul_digs (a, b, c, digs); } else #endif + { #ifdef BN_S_MP_MUL_DIGS_C res = s_mp_mul (a, b, c); /* uses s_mp_mul_digs */ #else res = MP_VAL; #endif - + } } c->sign = (c->used > 0) ? neg : MP_ZPOS; return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mul_2.c b/libtommath/bn_mp_mul_2.c index 2ca6022..9c72c7f 100644 --- a/libtommath/bn_mp_mul_2.c +++ b/libtommath/bn_mp_mul_2.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MUL_2_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* b = a*2 */ @@ -21,7 +21,7 @@ int mp_mul_2(mp_int * a, mp_int * b) int x, res, oldused; /* grow to accomodate result */ - if (b->alloc < a->used + 1) { + if (b->alloc < (a->used + 1)) { if ((res = mp_grow (b, a->used + 1)) != MP_OKAY) { return res; } @@ -31,7 +31,7 @@ int mp_mul_2(mp_int * a, mp_int * b) b->used = a->used; { - register mp_digit r, rr, *tmpa, *tmpb; + mp_digit r, rr, *tmpa, *tmpb; /* alias for source */ tmpa = a->dp; @@ -76,3 +76,7 @@ int mp_mul_2(mp_int * a, mp_int * b) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mul_2d.c b/libtommath/bn_mp_mul_2d.c index 4ac2e4e..e9b284e 100644 --- a/libtommath/bn_mp_mul_2d.c +++ b/libtommath/bn_mp_mul_2d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MUL_2D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* shift left by a certain bit count */ @@ -28,8 +28,8 @@ int mp_mul_2d (const mp_int * a, int b, mp_int * c) } } - if (c->alloc < (int)(c->used + b/DIGIT_BIT + 1)) { - if ((res = mp_grow (c, c->used + b / DIGIT_BIT + 1)) != MP_OKAY) { + if (c->alloc < (int)(c->used + (b / DIGIT_BIT) + 1)) { + if ((res = mp_grow (c, c->used + (b / DIGIT_BIT) + 1)) != MP_OKAY) { return res; } } @@ -44,8 +44,8 @@ int mp_mul_2d (const mp_int * a, int b, mp_int * c) /* shift any bit count < DIGIT_BIT */ d = (mp_digit) (b % DIGIT_BIT); if (d != 0) { - register mp_digit *tmpc, shift, mask, r, rr; - register int x; + mp_digit *tmpc, shift, mask, r, rr; + int x; /* bitmask for carries */ mask = (((mp_digit)1) << d) - 1; @@ -79,3 +79,7 @@ int mp_mul_2d (const mp_int * a, int b, mp_int * c) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mul_d.c b/libtommath/bn_mp_mul_d.c index ba45a0c..e77da5d 100644 --- a/libtommath/bn_mp_mul_d.c +++ b/libtommath/bn_mp_mul_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MUL_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* multiply by a digit */ @@ -24,7 +24,7 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c) int ix, res, olduse; /* make sure c is big enough to hold a*b */ - if (c->alloc < a->used + 1) { + if (c->alloc < (a->used + 1)) { if ((res = mp_grow (c, a->used + 1)) != MP_OKAY) { return res; } @@ -48,7 +48,7 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c) /* compute columns */ for (ix = 0; ix < a->used; ix++) { /* compute product and carry sum for this term */ - r = ((mp_word) u) + ((mp_word)*tmpa++) * ((mp_word)b); + r = (mp_word)u + ((mp_word)*tmpa++ * (mp_word)b); /* mask off higher bits to get a single digit */ *tmpc++ = (mp_digit) (r & ((mp_word) MP_MASK)); @@ -73,3 +73,7 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mulmod.c b/libtommath/bn_mp_mulmod.c index 649b717..5ea88ef 100644 --- a/libtommath/bn_mp_mulmod.c +++ b/libtommath/bn_mp_mulmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MULMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* d = a * b (mod c) */ @@ -34,3 +34,7 @@ int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_n_root.c b/libtommath/bn_mp_n_root.c index b2700a8..a14ee67 100644 --- a/libtommath/bn_mp_n_root.c +++ b/libtommath/bn_mp_n_root.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_N_ROOT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,117 +12,19 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* find the n'th root of an integer - * - * Result found such that (c)**b <= a and (c+1)**b > a - * - * This algorithm uses Newton's approximation - * x[i+1] = x[i] - f(x[i])/f'(x[i]) - * which will find the root in log(N) time where - * each step involves a fair bit. This is not meant to - * find huge roots [square and cube, etc]. +/* wrapper function for mp_n_root_ex() + * computes c = (a)**(1/b) such that (c)**b <= a and (c+1)**b > a */ int mp_n_root (mp_int * a, mp_digit b, mp_int * c) { - mp_int t1, t2, t3; - int res, neg; - - /* input must be positive if b is even */ - if ((b & 1) == 0 && a->sign == MP_NEG) { - return MP_VAL; - } - - if ((res = mp_init (&t1)) != MP_OKAY) { - return res; - } - - if ((res = mp_init (&t2)) != MP_OKAY) { - goto LBL_T1; - } - - if ((res = mp_init (&t3)) != MP_OKAY) { - goto LBL_T2; - } - - /* if a is negative fudge the sign but keep track */ - neg = a->sign; - a->sign = MP_ZPOS; - - /* t2 = 2 */ - mp_set (&t2, 2); - - do { - /* t1 = t2 */ - if ((res = mp_copy (&t2, &t1)) != MP_OKAY) { - goto LBL_T3; - } - - /* t2 = t1 - ((t1**b - a) / (b * t1**(b-1))) */ - - /* t3 = t1**(b-1) */ - if ((res = mp_expt_d (&t1, b - 1, &t3)) != MP_OKAY) { - goto LBL_T3; - } - - /* numerator */ - /* t2 = t1**b */ - if ((res = mp_mul (&t3, &t1, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - /* t2 = t1**b - a */ - if ((res = mp_sub (&t2, a, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - /* denominator */ - /* t3 = t1**(b-1) * b */ - if ((res = mp_mul_d (&t3, b, &t3)) != MP_OKAY) { - goto LBL_T3; - } - - /* t3 = (t1**b - a)/(b * t1**(b-1)) */ - if ((res = mp_div (&t2, &t3, &t3, NULL)) != MP_OKAY) { - goto LBL_T3; - } - - if ((res = mp_sub (&t1, &t3, &t2)) != MP_OKAY) { - goto LBL_T3; - } - } while (mp_cmp (&t1, &t2) != MP_EQ); - - /* result can be off by a few so check */ - for (;;) { - if ((res = mp_expt_d (&t1, b, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - if (mp_cmp (&t2, a) == MP_GT) { - if ((res = mp_sub_d (&t1, 1, &t1)) != MP_OKAY) { - goto LBL_T3; - } - } else { - break; - } - } - - /* reset the sign of a first */ - a->sign = neg; - - /* set the result */ - mp_exch (&t1, c); - - /* set the sign of the result */ - c->sign = neg; - - res = MP_OKAY; - -LBL_T3:mp_clear (&t3); -LBL_T2:mp_clear (&t2); -LBL_T1:mp_clear (&t1); - return res; + return mp_n_root_ex(a, b, c, 0); } + #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_neg.c b/libtommath/bn_mp_neg.c index 07fb148..952a991 100644 --- a/libtommath/bn_mp_neg.c +++ b/libtommath/bn_mp_neg.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_NEG_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* b = -a */ @@ -34,3 +34,7 @@ int mp_neg (const mp_int * a, mp_int * b) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_or.c b/libtommath/bn_mp_or.c index aa5b1bd..b7f2e4f 100644 --- a/libtommath/bn_mp_or.c +++ b/libtommath/bn_mp_or.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_OR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* OR two ints together */ @@ -44,3 +44,7 @@ int mp_or (mp_int * a, mp_int * b, mp_int * c) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_fermat.c b/libtommath/bn_mp_prime_fermat.c index 7b9b12e..9dc9e85 100644 --- a/libtommath/bn_mp_prime_fermat.c +++ b/libtommath/bn_mp_prime_fermat.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_FERMAT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* performs one Fermat test. @@ -56,3 +56,7 @@ LBL_T:mp_clear (&t); return err; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_is_divisible.c b/libtommath/bn_mp_prime_is_divisible.c index 710c967..5854f08 100644 --- a/libtommath/bn_mp_prime_is_divisible.c +++ b/libtommath/bn_mp_prime_is_divisible.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_IS_DIVISIBLE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines if an integers is divisible by one @@ -44,3 +44,7 @@ int mp_prime_is_divisible (mp_int * a, int *result) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_is_prime.c b/libtommath/bn_mp_prime_is_prime.c index ce225a3..be5ebe4 100644 --- a/libtommath/bn_mp_prime_is_prime.c +++ b/libtommath/bn_mp_prime_is_prime.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_IS_PRIME_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* performs a variable number of rounds of Miller-Rabin @@ -31,7 +31,7 @@ int mp_prime_is_prime (mp_int * a, int t, int *result) *result = MP_NO; /* valid value of t? */ - if (t <= 0 || t > PRIME_SIZE) { + if ((t <= 0) || (t > PRIME_SIZE)) { return MP_VAL; } @@ -77,3 +77,7 @@ LBL_B:mp_clear (&b); return err; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_miller_rabin.c b/libtommath/bn_mp_prime_miller_rabin.c index c5185b8..7b5c8d2 100644 --- a/libtommath/bn_mp_prime_miller_rabin.c +++ b/libtommath/bn_mp_prime_miller_rabin.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_MILLER_RABIN_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* Miller-Rabin test of "a" to the base of "b" as described in @@ -67,10 +67,10 @@ int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result) } /* if y != 1 and y != n1 do */ - if (mp_cmp_d (&y, 1) != MP_EQ && mp_cmp (&y, &n1) != MP_EQ) { + if ((mp_cmp_d (&y, 1) != MP_EQ) && (mp_cmp (&y, &n1) != MP_EQ)) { j = 1; /* while j <= s-1 and y != n1 */ - while ((j <= (s - 1)) && mp_cmp (&y, &n1) != MP_EQ) { + while ((j <= (s - 1)) && (mp_cmp (&y, &n1) != MP_EQ)) { if ((err = mp_sqrmod (&y, a, &y)) != MP_OKAY) { goto LBL_Y; } @@ -97,3 +97,7 @@ LBL_N1:mp_clear (&n1); return err; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_next_prime.c b/libtommath/bn_mp_prime_next_prime.c index 2433e8c..9951dc3 100644 --- a/libtommath/bn_mp_prime_next_prime.c +++ b/libtommath/bn_mp_prime_next_prime.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_NEXT_PRIME_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* finds the next prime after the number "a" using "t" trials @@ -22,12 +22,12 @@ */ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) { - int err, res, x, y; + int err, res = MP_NO, x, y; mp_digit res_tab[PRIME_SIZE], step, kstep; mp_int b; /* ensure t is valid */ - if (t <= 0 || t > PRIME_SIZE) { + if ((t <= 0) || (t > PRIME_SIZE)) { return MP_VAL; } @@ -84,7 +84,7 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) if ((err = mp_sub_d(a, (a->dp[0] & 3) + 1, a)) != MP_OKAY) { return err; }; } } else { - if (mp_iseven(a) == 1) { + if (mp_iseven(a) == MP_YES) { /* force odd */ if ((err = mp_sub_d(a, 1, a)) != MP_OKAY) { return err; @@ -129,7 +129,7 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) y = 1; } } - } while (y == 1 && step < ((((mp_digit)1)<= ((((mp_digit)1)<= ((((mp_digit)1) << DIGIT_BIT) - kstep))) { continue; } @@ -164,3 +164,7 @@ LBL_ERR: } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_rabin_miller_trials.c b/libtommath/bn_mp_prime_rabin_miller_trials.c index e57a43c..bca4229 100644 --- a/libtommath/bn_mp_prime_rabin_miller_trials.c +++ b/libtommath/bn_mp_prime_rabin_miller_trials.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_RABIN_MILLER_TRIALS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ @@ -46,3 +46,7 @@ int mp_prime_rabin_miller_trials(int size) #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_random_ex.c b/libtommath/bn_mp_prime_random_ex.c index a37477e..1efc4fc 100644 --- a/libtommath/bn_mp_prime_random_ex.c +++ b/libtommath/bn_mp_prime_random_ex.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_RANDOM_EX_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* makes a truly random prime of a given size (bits), @@ -21,7 +21,6 @@ * * LTM_PRIME_BBS - make prime congruent to 3 mod 4 * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS) - * LTM_PRIME_2MSB_OFF - make the 2nd highest bit zero * LTM_PRIME_2MSB_ON - make the 2nd highest bit one * * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can @@ -37,12 +36,12 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback int res, err, bsize, maskOR_msb_offset; /* sanity check the input */ - if (size <= 1 || t <= 0) { + if ((size <= 1) || (t <= 0)) { return MP_VAL; } /* LTM_PRIME_SAFE implies LTM_PRIME_BBS */ - if (flags & LTM_PRIME_SAFE) { + if ((flags & LTM_PRIME_SAFE) != 0) { flags |= LTM_PRIME_BBS; } @@ -61,13 +60,13 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback /* calc the maskOR_msb */ maskOR_msb = 0; maskOR_msb_offset = ((size & 7) == 1) ? 1 : 0; - if (flags & LTM_PRIME_2MSB_ON) { + if ((flags & LTM_PRIME_2MSB_ON) != 0) { maskOR_msb |= 0x80 >> ((9 - size) & 7); } /* get the maskOR_lsb */ maskOR_lsb = 1; - if (flags & LTM_PRIME_BBS) { + if ((flags & LTM_PRIME_BBS) != 0) { maskOR_lsb |= 3; } @@ -95,7 +94,7 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback continue; } - if (flags & LTM_PRIME_SAFE) { + if ((flags & LTM_PRIME_SAFE) != 0) { /* see if (a-1)/2 is prime */ if ((err = mp_sub_d(a, 1, a)) != MP_OKAY) { goto error; } if ((err = mp_div_2(a, a)) != MP_OKAY) { goto error; } @@ -105,7 +104,7 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback } } while (res == MP_NO); - if (flags & LTM_PRIME_SAFE) { + if ((flags & LTM_PRIME_SAFE) != 0) { /* restore a to the original value */ if ((err = mp_mul_2(a, a)) != MP_OKAY) { goto error; } if ((err = mp_add_d(a, 1, a)) != MP_OKAY) { goto error; } @@ -119,3 +118,7 @@ error: #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_radix_size.c b/libtommath/bn_mp_radix_size.c index 40c4d04..e5d7772 100644 --- a/libtommath/bn_mp_radix_size.c +++ b/libtommath/bn_mp_radix_size.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_RADIX_SIZE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* returns size of ASCII reprensentation */ @@ -24,14 +24,8 @@ int mp_radix_size (mp_int * a, int radix, int *size) *size = 0; - /* special case for binary */ - if (radix == 2) { - *size = mp_count_bits (a) + (a->sign == MP_NEG ? 1 : 0) + 1; - return MP_OKAY; - } - /* make sure the radix is in range */ - if (radix < 2 || radix > 64) { + if ((radix < 2) || (radix > 64)) { return MP_VAL; } @@ -40,6 +34,12 @@ int mp_radix_size (mp_int * a, int radix, int *size) return MP_OKAY; } + /* special case for binary */ + if (radix == 2) { + *size = mp_count_bits (a) + ((a->sign == MP_NEG) ? 1 : 0) + 1; + return MP_OKAY; + } + /* digs is the digit count */ digs = 0; @@ -66,18 +66,13 @@ int mp_radix_size (mp_int * a, int radix, int *size) } mp_clear (&t); - /* - * return digs + 1, the 1 is for the NULL byte that would be required. - * mp_toradix_n requires a minimum of 3 bytes, so never report less than - * that. - */ - - if ( digs >= 2 ) { - *size = digs + 1; - } else { - *size = 3; - } + /* return digs + 1, the 1 is for the NULL byte that would be required. */ + *size = digs + 1; return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_radix_smap.c b/libtommath/bn_mp_radix_smap.c index 7aeb375..d1c75ad 100644 --- a/libtommath/bn_mp_radix_smap.c +++ b/libtommath/bn_mp_radix_smap.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_RADIX_SMAP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,9 +12,13 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* chars used in radix conversions */ const char *mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"; #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_rand.c b/libtommath/bn_mp_rand.c index 17c1fbe..4c9610d 100644 --- a/libtommath/bn_mp_rand.c +++ b/libtommath/bn_mp_rand.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_RAND_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* makes a pseudo-random int of a given size */ @@ -29,7 +29,7 @@ mp_rand (mp_int * a, int digits) /* first place a random non-zero digit */ do { - d = ((mp_digit) abs (rand ())) & MP_MASK; + d = ((mp_digit) abs (MP_GEN_RANDOM())) & MP_MASK; } while (d == 0); if ((res = mp_add_d (a, d, a)) != MP_OKAY) { @@ -41,7 +41,7 @@ mp_rand (mp_int * a, int digits) return res; } - if ((res = mp_add_d (a, ((mp_digit) abs (rand ())), a)) != MP_OKAY) { + if ((res = mp_add_d (a, ((mp_digit) abs (MP_GEN_RANDOM())), a)) != MP_OKAY) { return res; } } @@ -49,3 +49,7 @@ mp_rand (mp_int * a, int digits) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_read_radix.c b/libtommath/bn_mp_read_radix.c index 4b92589..5c9eb5e 100644 --- a/libtommath/bn_mp_read_radix.c +++ b/libtommath/bn_mp_read_radix.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_READ_RADIX_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* read a string [ASCII] in a given radix */ @@ -25,7 +25,7 @@ int mp_read_radix (mp_int * a, const char *str, int radix) mp_zero(a); /* make sure the radix is ok */ - if (radix < 2 || radix > 64) { + if ((radix < 2) || (radix > 64)) { return MP_VAL; } @@ -43,12 +43,12 @@ int mp_read_radix (mp_int * a, const char *str, int radix) mp_zero (a); /* process each digit of the string */ - while (*str) { - /* if the radix < 36 the conversion is case insensitive + while (*str != '\0') { + /* if the radix <= 36 the conversion is case insensitive * this allows numbers like 1AB and 1ab to represent the same value * [e.g. in hex] */ - ch = (char) ((radix < 36) ? toupper ((unsigned char) *str) : *str); + ch = (radix <= 36) ? (char)toupper((int)*str) : *str; for (y = 0; y < 64; y++) { if (ch == mp_s_rmap[y]) { break; @@ -72,17 +72,14 @@ int mp_read_radix (mp_int * a, const char *str, int radix) ++str; } - /* if an illegal character was found, fail. */ - - if ( *str != '\0' ) { - mp_zero( a ); - return MP_VAL; - } - /* set the sign only if a != 0 */ - if (mp_iszero(a) != 1) { + if (mp_iszero(a) != MP_YES) { a->sign = neg; } return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_read_signed_bin.c b/libtommath/bn_mp_read_signed_bin.c index 3ee8556..a4d4760 100644 --- a/libtommath/bn_mp_read_signed_bin.c +++ b/libtommath/bn_mp_read_signed_bin.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_READ_SIGNED_BIN_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* read signed bin, big endian, first byte is 0==positive or 1==negative */ @@ -35,3 +35,7 @@ int mp_read_signed_bin (mp_int * a, const unsigned char *b, int c) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_read_unsigned_bin.c b/libtommath/bn_mp_read_unsigned_bin.c index caf5be0..e8e5df8 100644 --- a/libtommath/bn_mp_read_unsigned_bin.c +++ b/libtommath/bn_mp_read_unsigned_bin.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_READ_UNSIGNED_BIN_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* reads a unsigned char array, assumes the msb is stored first [big endian] */ @@ -37,15 +37,19 @@ int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) } #ifndef MP_8BIT - a->dp[0] |= *b++; - a->used += 1; + a->dp[0] |= *b++; + a->used += 1; #else - a->dp[0] = (*b & MP_MASK); - a->dp[1] |= ((*b++ >> 7U) & 1); - a->used += 2; + a->dp[0] = (*b & MP_MASK); + a->dp[1] |= ((*b++ >> 7U) & 1); + a->used += 2; #endif } mp_clamp (a); return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce.c b/libtommath/bn_mp_reduce.c index 4375e4e..e2c3a58 100644 --- a/libtommath/bn_mp_reduce.c +++ b/libtommath/bn_mp_reduce.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,10 +12,10 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* reduces x mod m, assumes 0 < x < m**2, mu is +/* reduces x mod m, assumes 0 < x < m**2, mu is * precomputed via mp_reduce_setup. * From HAC pp.604 Algorithm 14.42 */ @@ -30,10 +30,10 @@ int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) } /* q1 = x / b**(k-1) */ - mp_rshd (&q, um - 1); + mp_rshd (&q, um - 1); /* according to HAC this optimization is ok */ - if (((unsigned long) um) > (((mp_digit)1) << (DIGIT_BIT - 1))) { + if (((mp_digit) um) > (((mp_digit)1) << (DIGIT_BIT - 1))) { if ((res = mp_mul (&q, mu, &q)) != MP_OKAY) { goto CLEANUP; } @@ -46,8 +46,8 @@ int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) if ((res = fast_s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) { goto CLEANUP; } -#else - { +#else + { res = MP_VAL; goto CLEANUP; } @@ -55,7 +55,7 @@ int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) } /* q3 = q2 / b**(k+1) */ - mp_rshd (&q, um + 1); + mp_rshd (&q, um + 1); /* x = x mod b**(k+1), quick (no division) */ if ((res = mp_mod_2d (x, DIGIT_BIT * (um + 1), x)) != MP_OKAY) { @@ -87,10 +87,14 @@ int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) goto CLEANUP; } } - + CLEANUP: mp_clear (&q); return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_2k.c b/libtommath/bn_mp_reduce_2k.c index 428f2ff..2876a75 100644 --- a/libtommath/bn_mp_reduce_2k.c +++ b/libtommath/bn_mp_reduce_2k.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_2K_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* reduces a modulo n where n is of the form 2**p - d */ @@ -20,38 +20,44 @@ int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d) { mp_int q; int p, res; - + if ((res = mp_init(&q)) != MP_OKAY) { return res; } - - p = mp_count_bits(n); + + p = mp_count_bits(n); top: /* q = a/2**p, a = a mod 2**p */ if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { goto ERR; } - + if (d != 1) { /* q = q * d */ - if ((res = mp_mul_d(&q, d, &q)) != MP_OKAY) { + if ((res = mp_mul_d(&q, d, &q)) != MP_OKAY) { goto ERR; } } - + /* a = a + q */ if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { goto ERR; } - + if (mp_cmp_mag(a, n) != MP_LT) { - s_mp_sub(a, n, a); + if ((res = s_mp_sub(a, n, a)) != MP_OKAY) { + goto ERR; + } goto top; } - + ERR: mp_clear(&q); return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_2k_l.c b/libtommath/bn_mp_reduce_2k_l.c index 8e52efa..3225214 100644 --- a/libtommath/bn_mp_reduce_2k_l.c +++ b/libtommath/bn_mp_reduce_2k_l.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_2K_L_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,10 +12,10 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* reduces a modulo n where n is of the form 2**p - d +/* reduces a modulo n where n is of the form 2**p - d This differs from reduce_2k since "d" can be larger than a single digit. */ @@ -23,36 +23,42 @@ int mp_reduce_2k_l(mp_int *a, mp_int *n, mp_int *d) { mp_int q; int p, res; - + if ((res = mp_init(&q)) != MP_OKAY) { return res; } - - p = mp_count_bits(n); + + p = mp_count_bits(n); top: /* q = a/2**p, a = a mod 2**p */ if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { goto ERR; } - + /* q = q * d */ - if ((res = mp_mul(&q, d, &q)) != MP_OKAY) { + if ((res = mp_mul(&q, d, &q)) != MP_OKAY) { goto ERR; } - + /* a = a + q */ if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { goto ERR; } - + if (mp_cmp_mag(a, n) != MP_LT) { - s_mp_sub(a, n, a); + if ((res = s_mp_sub(a, n, a)) != MP_OKAY) { + goto ERR; + } goto top; } - + ERR: mp_clear(&q); return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_2k_setup.c b/libtommath/bn_mp_reduce_2k_setup.c index ac043f6..545051e 100644 --- a/libtommath/bn_mp_reduce_2k_setup.c +++ b/libtommath/bn_mp_reduce_2k_setup.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_2K_SETUP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines the setup value */ @@ -41,3 +41,7 @@ int mp_reduce_2k_setup(mp_int *a, mp_digit *d) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_2k_setup_l.c b/libtommath/bn_mp_reduce_2k_setup_l.c index b59a1ed..59132dd 100644 --- a/libtommath/bn_mp_reduce_2k_setup_l.c +++ b/libtommath/bn_mp_reduce_2k_setup_l.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_2K_SETUP_L_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines the setup value */ @@ -38,3 +38,7 @@ ERR: return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_is_2k.c b/libtommath/bn_mp_reduce_is_2k.c index 4655fcf..784947b 100644 --- a/libtommath/bn_mp_reduce_is_2k.c +++ b/libtommath/bn_mp_reduce_is_2k.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_IS_2K_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines if mp_reduce_2k can be used */ @@ -46,3 +46,7 @@ int mp_reduce_is_2k(mp_int *a) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_is_2k_l.c b/libtommath/bn_mp_reduce_is_2k_l.c index 7b57865..c193f39 100644 --- a/libtommath/bn_mp_reduce_is_2k_l.c +++ b/libtommath/bn_mp_reduce_is_2k_l.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_IS_2K_L_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines if reduce_2k_l can be used */ @@ -38,3 +38,7 @@ int mp_reduce_is_2k_l(mp_int *a) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_setup.c b/libtommath/bn_mp_reduce_setup.c index d8cefd9..f97eed5 100644 --- a/libtommath/bn_mp_reduce_setup.c +++ b/libtommath/bn_mp_reduce_setup.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_SETUP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* pre-calculate the value required for Barrett reduction @@ -28,3 +28,7 @@ int mp_reduce_setup (mp_int * a, mp_int * b) return mp_div (a, b, a, NULL); } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_rshd.c b/libtommath/bn_mp_rshd.c index e6095b3..77b0f6c 100644 --- a/libtommath/bn_mp_rshd.c +++ b/libtommath/bn_mp_rshd.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_RSHD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* shift right a certain amount of digits */ @@ -32,7 +32,7 @@ void mp_rshd (mp_int * a, int b) } { - register mp_digit *bottom, *top; + mp_digit *bottom, *top; /* shift the digits down */ @@ -66,3 +66,7 @@ void mp_rshd (mp_int * a, int b) a->used -= b; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_set.c b/libtommath/bn_mp_set.c index c32fc42..cac48ea 100644 --- a/libtommath/bn_mp_set.c +++ b/libtommath/bn_mp_set.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SET_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* set to a digit */ @@ -23,3 +23,7 @@ void mp_set (mp_int * a, mp_digit b) a->used = (a->dp[0] != 0) ? 1 : 0; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_set_int.c b/libtommath/bn_mp_set_int.c index b0fc344..5aa59d5 100644 --- a/libtommath/bn_mp_set_int.c +++ b/libtommath/bn_mp_set_int.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SET_INT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* set a 32-bit const */ @@ -42,3 +42,7 @@ int mp_set_int (mp_int * a, unsigned long b) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_shrink.c b/libtommath/bn_mp_shrink.c index bfdf93a..1ad2ede 100644 --- a/libtommath/bn_mp_shrink.c +++ b/libtommath/bn_mp_shrink.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SHRINK_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* shrink a bignum */ @@ -21,8 +21,9 @@ int mp_shrink (mp_int * a) mp_digit *tmp; int used = 1; - if(a->used > 0) + if(a->used > 0) { used = a->used; + } if (a->alloc != used) { if ((tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * used)) == NULL) { @@ -34,3 +35,7 @@ int mp_shrink (mp_int * a) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_signed_bin_size.c b/libtommath/bn_mp_signed_bin_size.c index 8f88e76..0e760a6 100644 --- a/libtommath/bn_mp_signed_bin_size.c +++ b/libtommath/bn_mp_signed_bin_size.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SIGNED_BIN_SIZE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* get the size for an signed equivalent */ @@ -21,3 +21,7 @@ int mp_signed_bin_size (mp_int * a) return 1 + mp_unsigned_bin_size (a); } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_sqr.c b/libtommath/bn_mp_sqr.c index 3938537..ad2099b 100644 --- a/libtommath/bn_mp_sqr.c +++ b/libtommath/bn_mp_sqr.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SQR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes b = a*a */ @@ -29,26 +29,32 @@ mp_sqr (mp_int * a, mp_int * b) } else #endif #ifdef BN_MP_KARATSUBA_SQR_C -if (a->used >= KARATSUBA_SQR_CUTOFF) { + if (a->used >= KARATSUBA_SQR_CUTOFF) { res = mp_karatsuba_sqr (a, b); } else #endif { #ifdef BN_FAST_S_MP_SQR_C /* can we use the fast comba multiplier? */ - if ((a->used * 2 + 1) < MP_WARRAY && - a->used < - (1 << (sizeof(mp_word) * CHAR_BIT - 2*DIGIT_BIT - 1))) { + if ((((a->used * 2) + 1) < MP_WARRAY) && + (a->used < + (1 << (((sizeof(mp_word) * CHAR_BIT) - (2 * DIGIT_BIT)) - 1)))) { res = fast_s_mp_sqr (a, b); } else #endif + { #ifdef BN_S_MP_SQR_C res = s_mp_sqr (a, b); #else res = MP_VAL; #endif + } } b->sign = MP_ZPOS; return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_sqrmod.c b/libtommath/bn_mp_sqrmod.c index 6f90772..2f9463d 100644 --- a/libtommath/bn_mp_sqrmod.c +++ b/libtommath/bn_mp_sqrmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SQRMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* c = a * a (mod b) */ @@ -35,3 +35,7 @@ mp_sqrmod (mp_int * a, mp_int * b, mp_int * c) return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_sqrt.c b/libtommath/bn_mp_sqrt.c index 016b8ba..7c9d25d 100644 --- a/libtommath/bn_mp_sqrt.c +++ b/libtommath/bn_mp_sqrt.c @@ -1,5 +1,4 @@ -#include - +#include #ifdef BN_MP_SQRT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -13,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ #ifndef NO_FLOATING_POINT @@ -140,3 +139,7 @@ E2: mp_clear(&t1); } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_sub.c b/libtommath/bn_mp_sub.c index 13cb43e..0d616c2 100644 --- a/libtommath/bn_mp_sub.c +++ b/libtommath/bn_mp_sub.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SUB_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* high level subtraction (handles signs) */ @@ -53,3 +53,7 @@ mp_sub (mp_int * a, mp_int * b, mp_int * c) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_sub_d.c b/libtommath/bn_mp_sub_d.c index b1e4e3f..f5a932f 100644 --- a/libtommath/bn_mp_sub_d.c +++ b/libtommath/bn_mp_sub_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SUB_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* single digit subtraction */ @@ -23,7 +23,7 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) int res, ix, oldused; /* grow c as required */ - if (c->alloc < a->used + 1) { + if (c->alloc < (a->used + 1)) { if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) { return res; } @@ -49,7 +49,7 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) tmpc = c->dp; /* if a <= b simply fix the single digit */ - if ((a->used == 1 && a->dp[0] <= b) || a->used == 0) { + if (((a->used == 1) && (a->dp[0] <= b)) || (a->used == 0)) { if (a->used == 1) { *tmpc++ = b - *tmpa; } else { @@ -67,13 +67,13 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) /* subtract first digit */ *tmpc = *tmpa++ - b; - mu = *tmpc >> (sizeof(mp_digit) * CHAR_BIT - 1); + mu = *tmpc >> ((sizeof(mp_digit) * CHAR_BIT) - 1); *tmpc++ &= MP_MASK; /* handle rest of the digits */ for (ix = 1; ix < a->used; ix++) { *tmpc = *tmpa++ - mu; - mu = *tmpc >> (sizeof(mp_digit) * CHAR_BIT - 1); + mu = *tmpc >> ((sizeof(mp_digit) * CHAR_BIT) - 1); *tmpc++ &= MP_MASK; } } @@ -87,3 +87,7 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_submod.c b/libtommath/bn_mp_submod.c index 7461678..87e0889 100644 --- a/libtommath/bn_mp_submod.c +++ b/libtommath/bn_mp_submod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SUBMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* d = a - b (mod c) */ @@ -36,3 +36,7 @@ mp_submod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_to_signed_bin.c b/libtommath/bn_mp_to_signed_bin.c index 7871921..e9289ea 100644 --- a/libtommath/bn_mp_to_signed_bin.c +++ b/libtommath/bn_mp_to_signed_bin.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TO_SIGNED_BIN_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* store in signed [big endian] format */ @@ -23,7 +23,11 @@ int mp_to_signed_bin (mp_int * a, unsigned char *b) if ((res = mp_to_unsigned_bin (a, b + 1)) != MP_OKAY) { return res; } - b[0] = (unsigned char) ((a->sign == MP_ZPOS) ? 0 : 1); + b[0] = (a->sign == MP_ZPOS) ? (unsigned char)0 : (unsigned char)1; return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_to_signed_bin_n.c b/libtommath/bn_mp_to_signed_bin_n.c index 8da9961..d4fe6e6 100644 --- a/libtommath/bn_mp_to_signed_bin_n.c +++ b/libtommath/bn_mp_to_signed_bin_n.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TO_SIGNED_BIN_N_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* store in signed [big endian] format */ @@ -25,3 +25,7 @@ int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) return mp_to_signed_bin(a, b); } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_to_unsigned_bin.c b/libtommath/bn_mp_to_unsigned_bin.c index 9496398..d3ef46f 100644 --- a/libtommath/bn_mp_to_unsigned_bin.c +++ b/libtommath/bn_mp_to_unsigned_bin.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TO_UNSIGNED_BIN_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* store in unsigned [big endian] format */ @@ -26,7 +26,7 @@ int mp_to_unsigned_bin (mp_int * a, unsigned char *b) } x = 0; - while (mp_iszero (&t) == 0) { + while (mp_iszero (&t) == MP_NO) { #ifndef MP_8BIT b[x++] = (unsigned char) (t.dp[0] & 255); #else @@ -42,3 +42,7 @@ int mp_to_unsigned_bin (mp_int * a, unsigned char *b) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_to_unsigned_bin_n.c b/libtommath/bn_mp_to_unsigned_bin_n.c index 4f2a31d..2da13cc 100644 --- a/libtommath/bn_mp_to_unsigned_bin_n.c +++ b/libtommath/bn_mp_to_unsigned_bin_n.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TO_UNSIGNED_BIN_N_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* store in unsigned [big endian] format */ @@ -25,3 +25,7 @@ int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) return mp_to_unsigned_bin(a, b); } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_toom_mul.c b/libtommath/bn_mp_toom_mul.c index 9daefbd..4731f8f 100644 --- a/libtommath/bn_mp_toom_mul.c +++ b/libtommath/bn_mp_toom_mul.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TOOM_MUL_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,31 +12,31 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* multiplication using the Toom-Cook 3-way algorithm +/* multiplication using the Toom-Cook 3-way algorithm * - * Much more complicated than Karatsuba but has a lower - * asymptotic running time of O(N**1.464). This algorithm is - * only particularly useful on VERY large inputs + * Much more complicated than Karatsuba but has a lower + * asymptotic running time of O(N**1.464). This algorithm is + * only particularly useful on VERY large inputs * (we're talking 1000s of digits here...). */ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) { mp_int w0, w1, w2, w3, w4, tmp1, tmp2, a0, a1, a2, b0, b1, b2; int res, B; - + /* init temps */ - if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, - &a0, &a1, &a2, &b0, &b1, + if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, + &a0, &a1, &a2, &b0, &b1, &b2, &tmp1, &tmp2, NULL)) != MP_OKAY) { return res; } - + /* B */ B = MIN(a->used, b->used) / 3; - + /* a = a2 * B**2 + a1 * B + a0 */ if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) { goto ERR; @@ -46,13 +46,15 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) goto ERR; } mp_rshd(&a1, B); - mp_mod_2d(&a1, DIGIT_BIT * B, &a1); + if ((res = mp_mod_2d(&a1, DIGIT_BIT * B, &a1)) != MP_OKAY) { + goto ERR; + } if ((res = mp_copy(a, &a2)) != MP_OKAY) { goto ERR; } mp_rshd(&a2, B*2); - + /* b = b2 * B**2 + b1 * B + b0 */ if ((res = mp_mod_2d(b, DIGIT_BIT * B, &b0)) != MP_OKAY) { goto ERR; @@ -62,23 +64,23 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) goto ERR; } mp_rshd(&b1, B); - mp_mod_2d(&b1, DIGIT_BIT * B, &b1); + (void)mp_mod_2d(&b1, DIGIT_BIT * B, &b1); if ((res = mp_copy(b, &b2)) != MP_OKAY) { goto ERR; } mp_rshd(&b2, B*2); - + /* w0 = a0*b0 */ if ((res = mp_mul(&a0, &b0, &w0)) != MP_OKAY) { goto ERR; } - + /* w4 = a2 * b2 */ if ((res = mp_mul(&a2, &b2, &w4)) != MP_OKAY) { goto ERR; } - + /* w1 = (a2 + 2(a1 + 2a0))(b2 + 2(b1 + 2b0)) */ if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) { goto ERR; @@ -92,7 +94,7 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) { goto ERR; } - + if ((res = mp_mul_2(&b0, &tmp2)) != MP_OKAY) { goto ERR; } @@ -105,11 +107,11 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_add(&tmp2, &b2, &tmp2)) != MP_OKAY) { goto ERR; } - + if ((res = mp_mul(&tmp1, &tmp2, &w1)) != MP_OKAY) { goto ERR; } - + /* w3 = (a0 + 2(a1 + 2a2))(b0 + 2(b1 + 2b2)) */ if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) { goto ERR; @@ -123,7 +125,7 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { goto ERR; } - + if ((res = mp_mul_2(&b2, &tmp2)) != MP_OKAY) { goto ERR; } @@ -136,11 +138,11 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) { goto ERR; } - + if ((res = mp_mul(&tmp1, &tmp2, &w3)) != MP_OKAY) { goto ERR; } - + /* w2 = (a2 + a1 + a0)(b2 + b1 + b0) */ if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) { @@ -158,123 +160,127 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_mul(&tmp1, &tmp2, &w2)) != MP_OKAY) { goto ERR; } - - /* now solve the matrix - + + /* now solve the matrix + 0 0 0 0 1 1 2 4 8 16 1 1 1 1 1 16 8 4 2 1 1 0 0 0 0 - - using 12 subtractions, 4 shifts, - 2 small divisions and 1 small multiplication + + using 12 subtractions, 4 shifts, + 2 small divisions and 1 small multiplication */ - - /* r1 - r4 */ - if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r0 */ - if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/2 */ - if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3/2 */ - if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { - goto ERR; - } - /* r2 - r0 - r4 */ - if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1 - 8r0 */ - if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - 8r4 */ - if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { - goto ERR; - } - /* 3r2 - r1 - r3 */ - if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/3 */ - if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { - goto ERR; - } - /* r3/3 */ - if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { - goto ERR; - } - - /* at this point shift W[n] by B*n */ - if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_add(&w0, &w1, c)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, c, c)) != MP_OKAY) { - goto ERR; - } - + + /* r1 - r4 */ + if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r0 */ + if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1/2 */ + if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3/2 */ + if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { + goto ERR; + } + /* r2 - r0 - r4 */ + if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { + goto ERR; + } + /* r1 - r2 */ + if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r2 */ + if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1 - 8r0 */ + if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - 8r4 */ + if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { + goto ERR; + } + /* 3r2 - r1 - r3 */ + if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { + goto ERR; + } + /* r1 - r2 */ + if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r2 */ + if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1/3 */ + if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { + goto ERR; + } + /* r3/3 */ + if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { + goto ERR; + } + + /* at this point shift W[n] by B*n */ + if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { + goto ERR; + } + + if ((res = mp_add(&w0, &w1, c)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&tmp1, c, c)) != MP_OKAY) { + goto ERR; + } + ERR: - mp_clear_multi(&w0, &w1, &w2, &w3, &w4, - &a0, &a1, &a2, &b0, &b1, - &b2, &tmp1, &tmp2, NULL); - return res; -} - + mp_clear_multi(&w0, &w1, &w2, &w3, &w4, + &a0, &a1, &a2, &b0, &b1, + &b2, &tmp1, &tmp2, NULL); + return res; +} + #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_toom_sqr.c b/libtommath/bn_mp_toom_sqr.c index 9e3f79c..69b69d4 100644 --- a/libtommath/bn_mp_toom_sqr.c +++ b/libtommath/bn_mp_toom_sqr.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TOOM_SQR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* squaring using Toom-Cook 3-way algorithm */ @@ -39,7 +39,9 @@ mp_toom_sqr(mp_int *a, mp_int *b) goto ERR; } mp_rshd(&a1, B); - mp_mod_2d(&a1, DIGIT_BIT * B, &a1); + if ((res = mp_mod_2d(&a1, DIGIT_BIT * B, &a1)) != MP_OKAY) { + goto ERR; + } if ((res = mp_copy(a, &a2)) != MP_OKAY) { goto ERR; @@ -115,108 +117,112 @@ mp_toom_sqr(mp_int *a, mp_int *b) using 12 subtractions, 4 shifts, 2 small divisions and 1 small multiplication. */ - /* r1 - r4 */ - if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r0 */ - if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/2 */ - if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3/2 */ - if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { - goto ERR; - } - /* r2 - r0 - r4 */ - if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1 - 8r0 */ - if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - 8r4 */ - if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { - goto ERR; - } - /* 3r2 - r1 - r3 */ - if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/3 */ - if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { - goto ERR; - } - /* r3/3 */ - if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { - goto ERR; - } - - /* at this point shift W[n] by B*n */ - if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_add(&w0, &w1, b)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, b, b)) != MP_OKAY) { - goto ERR; - } + /* r1 - r4 */ + if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r0 */ + if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1/2 */ + if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3/2 */ + if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { + goto ERR; + } + /* r2 - r0 - r4 */ + if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { + goto ERR; + } + /* r1 - r2 */ + if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r2 */ + if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1 - 8r0 */ + if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - 8r4 */ + if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { + goto ERR; + } + /* 3r2 - r1 - r3 */ + if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { + goto ERR; + } + /* r1 - r2 */ + if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r2 */ + if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1/3 */ + if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { + goto ERR; + } + /* r3/3 */ + if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { + goto ERR; + } + + /* at this point shift W[n] by B*n */ + if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { + goto ERR; + } + + if ((res = mp_add(&w0, &w1, b)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&tmp1, b, b)) != MP_OKAY) { + goto ERR; + } ERR: - mp_clear_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL); - return res; + mp_clear_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL); + return res; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_toradix.c b/libtommath/bn_mp_toradix.c index 132743e..f04352d 100644 --- a/libtommath/bn_mp_toradix.c +++ b/libtommath/bn_mp_toradix.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TORADIX_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* stores a bignum as a ASCII string in a given radix (2..64) */ @@ -24,12 +24,12 @@ int mp_toradix (mp_int * a, char *str, int radix) char *_s = str; /* check range of the radix */ - if (radix < 2 || radix > 64) { + if ((radix < 2) || (radix > 64)) { return MP_VAL; } /* quick out if its zero */ - if (mp_iszero(a) == 1) { + if (mp_iszero(a) == MP_YES) { *str++ = '0'; *str = '\0'; return MP_OKAY; @@ -47,7 +47,7 @@ int mp_toradix (mp_int * a, char *str, int radix) } digs = 0; - while (mp_iszero (&t) == 0) { + while (mp_iszero (&t) == MP_NO) { if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) { mp_clear (&t); return res; @@ -69,3 +69,7 @@ int mp_toradix (mp_int * a, char *str, int radix) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_toradix_n.c b/libtommath/bn_mp_toradix_n.c index dedce71..19b61d7 100644 --- a/libtommath/bn_mp_toradix_n.c +++ b/libtommath/bn_mp_toradix_n.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TORADIX_N_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* stores a bignum as a ASCII string in a given radix (2..64) @@ -27,7 +27,7 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) char *_s = str; /* check range of the maxlen, radix */ - if (maxlen < 2 || radix < 2 || radix > 64) { + if ((maxlen < 2) || (radix < 2) || (radix > 64)) { return MP_VAL; } @@ -56,7 +56,7 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) } digs = 0; - while (mp_iszero (&t) == 0) { + while (mp_iszero (&t) == MP_NO) { if (--maxlen < 1) { /* no more room */ break; @@ -82,3 +82,7 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_unsigned_bin_size.c b/libtommath/bn_mp_unsigned_bin_size.c index 58c18fb..0312625 100644 --- a/libtommath/bn_mp_unsigned_bin_size.c +++ b/libtommath/bn_mp_unsigned_bin_size.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_UNSIGNED_BIN_SIZE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,13 +12,17 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* get the size for an unsigned equivalent */ int mp_unsigned_bin_size (mp_int * a) { int size = mp_count_bits (a); - return (size / 8 + ((size & 7) != 0 ? 1 : 0)); + return (size / 8) + (((size & 7) != 0) ? 1 : 0); } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_xor.c b/libtommath/bn_mp_xor.c index 432f42e..3c2ba9e 100644 --- a/libtommath/bn_mp_xor.c +++ b/libtommath/bn_mp_xor.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_XOR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* XOR two ints together */ @@ -45,3 +45,7 @@ mp_xor (mp_int * a, mp_int * b, mp_int * c) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_zero.c b/libtommath/bn_mp_zero.c index d697a60..21365ed 100644 --- a/libtommath/bn_mp_zero.c +++ b/libtommath/bn_mp_zero.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_ZERO_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* set to zero */ @@ -30,3 +30,7 @@ void mp_zero (mp_int * a) } } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_prime_tab.c b/libtommath/bn_prime_tab.c index c47c8bd..ae727a4 100644 --- a/libtommath/bn_prime_tab.c +++ b/libtommath/bn_prime_tab.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_PRIME_TAB_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ const mp_digit ltm_prime_tab[] = { 0x0002, 0x0003, 0x0005, 0x0007, 0x000B, 0x000D, 0x0011, 0x0013, @@ -55,3 +55,7 @@ const mp_digit ltm_prime_tab[] = { #endif }; #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_reverse.c b/libtommath/bn_reverse.c index 9d7fd29..fc6eb2d 100644 --- a/libtommath/bn_reverse.c +++ b/libtommath/bn_reverse.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_REVERSE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* reverse an array, used for radix code */ @@ -33,3 +33,7 @@ bn_reverse (unsigned char *s, int len) } } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_s_mp_add.c b/libtommath/bn_s_mp_add.c index 7527bf8..c2ad649 100644 --- a/libtommath/bn_s_mp_add.c +++ b/libtommath/bn_s_mp_add.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_S_MP_ADD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* low level addition, based on HAC pp.594, Algorithm 14.7 */ @@ -36,7 +36,7 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) } /* init result */ - if (c->alloc < max + 1) { + if (c->alloc < (max + 1)) { if ((res = mp_grow (c, max + 1)) != MP_OKAY) { return res; } @@ -47,8 +47,8 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) c->used = max + 1; { - register mp_digit u, *tmpa, *tmpb, *tmpc; - register int i; + mp_digit u, *tmpa, *tmpb, *tmpc; + int i; /* alias for digit pointers */ @@ -103,3 +103,7 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_s_mp_exptmod.c b/libtommath/bn_s_mp_exptmod.c index ff6bd54..63e1b1e 100644 --- a/libtommath/bn_s_mp_exptmod.c +++ b/libtommath/bn_s_mp_exptmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_S_MP_EXPTMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ #ifdef MP_LOW_MEM #define TAB_SIZE 32 @@ -164,12 +164,12 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) * in the exponent. Technically this opt is not required but it * does lower the # of trivial squaring/reductions used */ - if (mode == 0 && y == 0) { + if ((mode == 0) && (y == 0)) { continue; } /* if the bit is zero and mode == 1 then we square */ - if (mode == 1 && y == 0) { + if ((mode == 1) && (y == 0)) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { goto LBL_RES; } @@ -211,7 +211,7 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) } /* if bits remain then square/multiply */ - if (mode == 2 && bitcpy > 0) { + if ((mode == 2) && (bitcpy > 0)) { /* square then multiply if the bit is set */ for (x = 0; x < bitcpy; x++) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { @@ -246,3 +246,7 @@ LBL_M: return err; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_s_mp_mul_digs.c b/libtommath/bn_s_mp_mul_digs.c index 401f32e..bd8553d 100644 --- a/libtommath/bn_s_mp_mul_digs.c +++ b/libtommath/bn_s_mp_mul_digs.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_S_MP_MUL_DIGS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* multiplies |a| * |b| and only computes upto digs digits of result @@ -29,8 +29,8 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* can we use the fast multiplier? */ if (((digs) < MP_WARRAY) && - MIN (a->used, b->used) < - (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + (MIN (a->used, b->used) < + (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { return fast_s_mp_mul_digs (a, b, c, digs); } @@ -61,9 +61,9 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* compute the columns of the output and propagate the carry */ for (iy = 0; iy < pb; iy++) { /* compute the column as a mp_word */ - r = ((mp_word)*tmpt) + - ((mp_word)tmpx) * ((mp_word)*tmpy++) + - ((mp_word) u); + r = (mp_word)*tmpt + + ((mp_word)tmpx * (mp_word)*tmpy++) + + (mp_word)u; /* the new column is the lower part of the result */ *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); @@ -72,7 +72,7 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); } /* set carry if it is placed below digs */ - if (ix + iy < digs) { + if ((ix + iy) < digs) { *tmpt = u; } } @@ -84,3 +84,7 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_s_mp_mul_high_digs.c b/libtommath/bn_s_mp_mul_high_digs.c index f4dca76..153cea44 100644 --- a/libtommath/bn_s_mp_mul_high_digs.c +++ b/libtommath/bn_s_mp_mul_high_digs.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_S_MP_MUL_HIGH_DIGS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* multiplies |a| * |b| and does not compute the lower digs digits @@ -30,7 +30,7 @@ s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* can we use the fast multiplier? */ #ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C if (((a->used + b->used + 1) < MP_WARRAY) - && MIN (a->used, b->used) < (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + && (MIN (a->used, b->used) < (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { return fast_s_mp_mul_high_digs (a, b, c, digs); } #endif @@ -57,9 +57,9 @@ s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) for (iy = digs - ix; iy < pb; iy++) { /* calculate the double precision result */ - r = ((mp_word)*tmpt) + - ((mp_word)tmpx) * ((mp_word)*tmpy++) + - ((mp_word) u); + r = (mp_word)*tmpt + + ((mp_word)tmpx * (mp_word)*tmpy++) + + (mp_word)u; /* get the lower part */ *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); @@ -75,3 +75,7 @@ s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_s_mp_sqr.c b/libtommath/bn_s_mp_sqr.c index 464663f..68c95bc 100644 --- a/libtommath/bn_s_mp_sqr.c +++ b/libtommath/bn_s_mp_sqr.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_S_MP_SQR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* low level squaring, b = a*a, HAC pp.596-597, Algorithm 14.16 */ @@ -24,18 +24,18 @@ int s_mp_sqr (mp_int * a, mp_int * b) mp_digit u, tmpx, *tmpt; pa = a->used; - if ((res = mp_init_size (&t, 2*pa + 1)) != MP_OKAY) { + if ((res = mp_init_size (&t, (2 * pa) + 1)) != MP_OKAY) { return res; } /* default used is maximum possible size */ - t.used = 2*pa + 1; + t.used = (2 * pa) + 1; for (ix = 0; ix < pa; ix++) { /* first calculate the digit at 2*ix */ /* calculate double precision result */ - r = ((mp_word) t.dp[2*ix]) + - ((mp_word)a->dp[ix])*((mp_word)a->dp[ix]); + r = (mp_word)t.dp[2*ix] + + ((mp_word)a->dp[ix] * (mp_word)a->dp[ix]); /* store lower part in result */ t.dp[ix+ix] = (mp_digit) (r & ((mp_word) MP_MASK)); @@ -47,7 +47,7 @@ int s_mp_sqr (mp_int * a, mp_int * b) tmpx = a->dp[ix]; /* alias for where to store the results */ - tmpt = t.dp + (2*ix + 1); + tmpt = t.dp + ((2 * ix) + 1); for (iy = ix + 1; iy < pa; iy++) { /* first calculate the product */ @@ -78,3 +78,7 @@ int s_mp_sqr (mp_int * a, mp_int * b) return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_s_mp_sub.c b/libtommath/bn_s_mp_sub.c index 328c9e5..c0ea556 100644 --- a/libtommath/bn_s_mp_sub.c +++ b/libtommath/bn_s_mp_sub.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_S_MP_SUB_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* low level subtraction (assumes |a| > |b|), HAC pp.595 Algorithm 14.9 */ @@ -35,8 +35,8 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) c->used = max; { - register mp_digit u, *tmpa, *tmpb, *tmpc; - register int i; + mp_digit u, *tmpa, *tmpb, *tmpc; + int i; /* alias for digit pointers */ tmpa = a->dp; @@ -47,14 +47,14 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) u = 0; for (i = 0; i < min; i++) { /* T[i] = A[i] - B[i] - U */ - *tmpc = *tmpa++ - *tmpb++ - u; + *tmpc = (*tmpa++ - *tmpb++) - u; /* U = carry bit of T[i] * Note this saves performing an AND operation since * if a carry does occur it will propagate all the way to the * MSB. As a result a single shift is enough to get the carry */ - u = *tmpc >> ((mp_digit)(CHAR_BIT * sizeof (mp_digit) - 1)); + u = *tmpc >> ((mp_digit)((CHAR_BIT * sizeof(mp_digit)) - 1)); /* Clear carry from T[i] */ *tmpc++ &= MP_MASK; @@ -66,7 +66,7 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) *tmpc = *tmpa++ - u; /* U = carry bit of T[i] */ - u = *tmpc >> ((mp_digit)(CHAR_BIT * sizeof (mp_digit) - 1)); + u = *tmpc >> ((mp_digit)((CHAR_BIT * sizeof(mp_digit)) - 1)); /* Clear carry from T[i] */ *tmpc++ &= MP_MASK; @@ -83,3 +83,7 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) } #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bncore.c b/libtommath/bncore.c index eb95a2e..9552714 100644 --- a/libtommath/bncore.c +++ b/libtommath/bncore.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BNCORE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* Known optimal configurations @@ -30,3 +30,7 @@ int KARATSUBA_MUL_CUTOFF = 80, /* Min. number of digits before Karatsub TOOM_MUL_CUTOFF = 350, /* no optimal values of these are known yet so set em high */ TOOM_SQR_CUTOFF = 400; #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/booker.pl b/libtommath/booker.pl index df8b30d..c2abae6 100644 --- a/libtommath/booker.pl +++ b/libtommath/booker.pl @@ -15,7 +15,7 @@ if (shift =~ /PDF/) { $graph = ""; } else { $graph = ".ps"; -} +} open(IN,"tommath.tex") or die "Can't open destination file"; @@ -26,18 +26,18 @@ $x = 0; while () { print "."; if (!(++$x % 80)) { print "\n"; } - #update the headings + #update the headings if (~($_ =~ /\*/)) { - if ($_ =~ /\\chapter{.+}/) { + if ($_ =~ /\\chapter\{.+}/) { ++$chapter; $section = $subsection = 0; - } elsif ($_ =~ /\\section{.+}/) { + } elsif ($_ =~ /\\section\{.+}/) { ++$section; $subsection = 0; - } elsif ($_ =~ /\\subsection{.+}/) { + } elsif ($_ =~ /\\subsection\{.+}/) { ++$subsection; } - } + } if ($_ =~ m/MARK/) { @m = split(",",$_); @@ -56,7 +56,7 @@ $srcline = 0; while () { ++$readline; ++$srcline; - + if ($_ =~ m/MARK/) { } elsif ($_ =~ m/EXAM/ || $_ =~ m/LIST/) { if ($_ =~ m/EXAM/) { @@ -64,29 +64,29 @@ while () { } else { $skipheader = 0; } - + # EXAM,file chomp($_); @m = split(",",$_); open(SRC,"<$m[1]") or die "Error:$srcline:Can't open source file $m[1]"; - + print "$srcline:Inserting $m[1]:"; - + $line = 0; $tmp = $m[1]; $tmp =~ s/_/"\\_"/ge; print OUT "\\vspace{+3mm}\\begin{small}\n\\hspace{-5.1mm}{\\bf File}: $tmp\n\\vspace{-3mm}\n\\begin{alltt}\n"; $wroteline += 5; - + if ($skipheader == 1) { - # scan till next end of comment, e.g. skip license + # scan till next end of comment, e.g. skip license while () { $text[$line++] = $_; - last if ($_ =~ /math\.libtomcrypt\.org/); + last if ($_ =~ /libtom\.org/); } - ; + ; } - + $inline = 0; while () { next if ($_ =~ /\$Source/); @@ -100,11 +100,11 @@ while () { $_ =~ s/}/"^}"/ge; $_ =~ s/\\/'\symbol{92}'/ge; $_ =~ s/\^/"\\"/ge; - + printf OUT ("%03d ", $line); for ($x = 0; $x < length($_); $x++) { print OUT chr(vec($_, $x, 8)); - if ($x == 75) { + if ($x == 75) { print OUT "\n "; ++$wroteline; } @@ -123,9 +123,9 @@ while () { $txt = $_; while ($txt =~ m/@\d+,.+@/) { @m = split("@",$txt); # splits into text, one, two - @parms = split(",",$m[1]); # splits one,two into two elements - - # now search from $parms[0] down for $parms[1] + @parms = split(",",$m[1]); # splits one,two into two elements + + # now search from $parms[0] down for $parms[1] $found1 = 0; $found2 = 0; for ($i = $parms[0]; $i < $totlines && $found1 == 0; $i++) { @@ -134,7 +134,7 @@ while () { $found1 = 1; } } - + # now search backwards for ($i = $parms[0] - 1; $i >= 0 && $found2 == 0; $i--) { if ($text[$i] =~ m/\Q$parms[1]\E/) { @@ -142,7 +142,7 @@ while () { $found2 = 1; } } - + # now use the closest match or the first if tied if ($found1 == 1 && $found2 == 0) { $found = 1; @@ -160,8 +160,8 @@ while () { } else { $found = 0; } - - # if found replace + + # if found replace if ($found == 1) { $delta = $parms[0] - $foundline; print "Found replacement tag for \"$parms[1]\" on line $srcline which refers to line $foundline (delta $delta)\n"; @@ -169,8 +169,8 @@ while () { } else { print "ERROR: The tag \"$parms[1]\" on line $srcline was not found in the most recently parsed source!\n"; } - - # remake the rest of the line + + # remake the rest of the line $cnt = @m; $txt = ""; for ($i = 2; $i < $cnt; $i++) { @@ -184,13 +184,13 @@ while () { $txt = $_; while ($txt =~ /~.+~/) { @m = split("~", $txt); - + # word is the second position $word = @m[1]; $a = $index1{$word}; $b = $index2{$word}; $c = $index3{$word}; - + # if chapter (a) is zero it wasn't found if ($a == 0) { print "ERROR: the tag \"$word\" on line $srcline was not found previously marked.\n"; @@ -199,7 +199,7 @@ while () { $str = $a; $str = $str . ".$b" if ($b != 0); $str = $str . ".$c" if ($c != 0); - + if ($b == 0 && $c == 0) { # its a chapter if ($a <= 10) { @@ -228,16 +228,16 @@ while () { $str = "chapter " . $str; } } else { - $str = "section " . $str if ($b != 0 && $c == 0); + $str = "section " . $str if ($b != 0 && $c == 0); $str = "sub-section " . $str if ($b != 0 && $c != 0); } - + #substitute $_ =~ s/~\Q$word\E~/$str/; - + print "Found replacement tag for marker \"$word\" on line $srcline which refers to $str\n"; } - + # remake rest of the line $cnt = @m; $txt = ""; @@ -263,3 +263,5 @@ print "Read $readline lines, wrote $wroteline lines\n"; close (OUT); close (IN); + +system('perl -pli -e "s/\s*$//" tommath.tex'); diff --git a/libtommath/callgraph.txt b/libtommath/callgraph.txt index 2efcf24..e98a910 100644 --- a/libtommath/callgraph.txt +++ b/libtommath/callgraph.txt @@ -1,402 +1,132 @@ -BN_PRIME_TAB_C - - -BN_MP_SQRT_C -+--->BN_MP_N_ROOT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_EXPT_D_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_SQR_C +BN_MP_KARATSUBA_MUL_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_DIV_3_C | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C +| | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_D_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C +| +--->BN_S_MP_MUL_DIGS_C | | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_ZERO_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -+--->BN_MP_DIV_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_SET_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C | | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C | +--->BN_MP_CMP_MAG_C | +--->BN_S_MP_SUB_C | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2_C ++--->BN_S_MP_SUB_C | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_EXCH_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +--->BN_MP_CLEAR_C -BN_MP_CMP_D_C +BN_MP_ZERO_C -BN_MP_EXCH_C +BN_MP_SET_C ++--->BN_MP_ZERO_C -BN_MP_IS_SQUARE_C -+--->BN_MP_MOD_D_C -| +--->BN_MP_DIV_D_C +BN_MP_TO_SIGNED_BIN_C ++--->BN_MP_TO_UNSIGNED_BIN_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_SET_INT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_SET_INT_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C + + +BN_S_MP_SUB_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_MP_JACOBI_C ++--->BN_MP_CMP_D_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_CNT_LSB_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +--->BN_MP_MOD_C -| +--->BN_MP_INIT_C | +--->BN_MP_DIV_C | | +--->BN_MP_CMP_MAG_C | | +--->BN_MP_COPY_C @@ -427,18 +157,10 @@ BN_MP_IS_SQUARE_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C | | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_MULTI_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C @@ -449,6 +171,7 @@ BN_MP_IS_SQUARE_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLEAR_C | +--->BN_MP_CLEAR_C +| +--->BN_MP_EXCH_C | +--->BN_MP_ADD_C | | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C @@ -457,362 +180,180 @@ BN_MP_IS_SQUARE_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_INIT_COPY_C ++--->BN_MP_INIT_SIZE_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C + + +BN_MP_ABS_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C + + +BN_MP_RADIX_SMAP_C + + +BN_MP_EXCH_C + + +BN_MP_EXPORT_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C | +--->BN_MP_EXCH_C -+--->BN_MP_GET_INT_C -+--->BN_MP_SQRT_C -| +--->BN_MP_N_ROOT_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C ++--->BN_MP_CLEAR_C + + +BN_MP_TO_UNSIGNED_BIN_N_C ++--->BN_MP_UNSIGNED_BIN_SIZE_C +| +--->BN_MP_COUNT_BITS_C ++--->BN_MP_TO_UNSIGNED_BIN_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_EXPT_D_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_FAST_S_MP_SQR_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + +BN_MP_TO_SIGNED_BIN_N_C ++--->BN_MP_SIGNED_BIN_SIZE_C +| +--->BN_MP_UNSIGNED_BIN_SIZE_C +| | +--->BN_MP_COUNT_BITS_C ++--->BN_MP_TO_SIGNED_BIN_C +| +--->BN_MP_TO_UNSIGNED_BIN_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_SUB_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_D_C -| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_COPY_C + + +BN_MP_LCM_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_GCD_C +| +--->BN_MP_ABS_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C +| +--->BN_MP_CNT_LSB_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_EXCH_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_DIV_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_SET_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C | +--->BN_MP_ADD_C | | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2_C -| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_EXCH_C | +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_INIT_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C | +--->BN_MP_CLEAR_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLEAR_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_COPY_C @@ -828,7 +369,6 @@ BN_MP_IS_SQUARE_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -836,7 +376,6 @@ BN_MP_IS_SQUARE_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -860,802 +399,471 @@ BN_MP_IS_SQUARE_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_MULTI_C | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_SQR_C +| +--->BN_MP_KARATSUBA_MUL_C | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_ADD_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_SQR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C +| +--->BN_S_MP_MUL_DIGS_C | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C -BN_MP_NEG_C +BN_MP_CMP_MAG_C + + +BN_MP_PRIME_RABIN_MILLER_TRIALS_C + + +BN_MP_MUL_2D_C +--->BN_MP_COPY_C | +--->BN_MP_GROW_C ++--->BN_MP_GROW_C ++--->BN_MP_LSHD_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C ++--->BN_MP_CLAMP_C -BN_MP_EXPTMOD_C -+--->BN_MP_INIT_C -+--->BN_MP_INVMOD_C -| +--->BN_FAST_MP_INVMOD_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C +BN_MP_MUL_C ++--->BN_MP_TOOM_MUL_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_ZERO_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_DIV_2_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_CMP_D_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_INVMOD_SLOW_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_COPY_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_CMP_D_C | | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C -+--->BN_MP_ABS_C -| +--->BN_MP_COPY_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_LSHD_C | | +--->BN_MP_GROW_C -+--->BN_MP_CLEAR_MULTI_C -+--->BN_MP_REDUCE_IS_2K_L_C -+--->BN_S_MP_EXPTMOD_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_REDUCE_SETUP_C -| | +--->BN_MP_2EXPT_C -| | | +--->BN_MP_ZERO_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_KARATSUBA_MUL_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ADD_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_REDUCE_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C | | +--->BN_MP_RSHD_C | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLEAR_C ++--->BN_FAST_S_MP_MUL_DIGS_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_S_MP_MUL_DIGS_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + +BN_MP_SQR_C ++--->BN_MP_TOOM_SQR_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_D_C -| | +--->BN_MP_SET_C +| +--->BN_MP_DIV_2_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_KARATSUBA_SQR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C | | | +--->BN_MP_ZERO_C +| +--->BN_MP_ADD_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_CLEAR_C ++--->BN_FAST_S_MP_SQR_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_S_MP_SQR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + +BN_MP_INIT_C + + +BN_MP_2EXPT_C ++--->BN_MP_ZERO_C ++--->BN_MP_GROW_C + + +BN_MP_SIGNED_BIN_SIZE_C ++--->BN_MP_UNSIGNED_BIN_SIZE_C +| +--->BN_MP_COUNT_BITS_C + + +BN_MP_OR_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_MOD_C ++--->BN_MP_INIT_C ++--->BN_MP_DIV_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_SET_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_CLAMP_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_REDUCE_2K_SETUP_L_C -| | +--->BN_MP_2EXPT_C -| | | +--->BN_MP_ZERO_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_REDUCE_2K_L_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C ++--->BN_MP_EXCH_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C + + +BN_MP_DIV_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_ZERO_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_SET_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_ABS_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_INIT_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_INIT_C ++--->BN_MP_INIT_COPY_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C ++--->BN_MP_RSHD_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_INIT_SET_C ++--->BN_MP_INIT_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C + + +BN_MP_PRIME_IS_PRIME_C ++--->BN_MP_CMP_D_C ++--->BN_MP_PRIME_IS_DIVISIBLE_C +| +--->BN_MP_MOD_D_C +| | +--->BN_MP_DIV_D_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_C | | | | +--->BN_MP_MOD_2D_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_DIV_3_C | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | +--->BN_FAST_S_MP_SQR_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_PRIME_MILLER_RABIN_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_D_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CNT_LSB_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_SET_C | | +--->BN_MP_ZERO_C -| +--->BN_MP_EXCH_C -+--->BN_MP_DR_IS_MODULUS_C -+--->BN_MP_REDUCE_IS_2K_C -| +--->BN_MP_REDUCE_2K_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_COUNT_BITS_C -+--->BN_MP_EXPTMOD_FAST_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_MONTGOMERY_SETUP_C -| +--->BN_FAST_MP_MONTGOMERY_REDUCE_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| +--->BN_MP_MONTGOMERY_REDUCE_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| +--->BN_MP_DR_SETUP_C -| +--->BN_MP_DR_REDUCE_C -| | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| +--->BN_MP_REDUCE_2K_SETUP_C -| | +--->BN_MP_2EXPT_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_REDUCE_2K_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | +--->BN_MP_2EXPT_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_MULMOD_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_EXPTMOD_C +| | +--->BN_MP_INVMOD_C +| | | +--->BN_FAST_MP_INVMOD_C | | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_COPY_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -1663,7 +871,9 @@ BN_MP_EXPTMOD_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -1671,178 +881,515 @@ BN_MP_EXPTMOD_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INVMOD_SLOW_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_ABS_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_REDUCE_IS_2K_L_C +| | +--->BN_S_MP_EXPTMOD_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_REDUCE_SETUP_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C +| | | +--->BN_MP_REDUCE_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_REDUCE_2K_L_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_FAST_S_MP_SQR_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DR_IS_MODULUS_C +| | +--->BN_MP_REDUCE_IS_2K_C +| | | +--->BN_MP_REDUCE_2K_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -1850,243 +1397,180 @@ BN_MP_EXPTMOD_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_EXPTMOD_FAST_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_MONTGOMERY_SETUP_C +| | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_KARATSUBA_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_MONTGOMERY_REDUCE_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | +--->BN_FAST_S_MP_SQR_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_DR_SETUP_C +| | | +--->BN_MP_DR_REDUCE_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_REDUCE_2K_SETUP_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_REDUCE_2K_C +| | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MUL_2_C | | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_EXCH_C - - -BN_MP_OR_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_ZERO_C - - -BN_MP_GROW_C - - -BN_MP_COUNT_BITS_C - - -BN_MP_PRIME_FERMAT_C -+--->BN_MP_CMP_D_C -+--->BN_MP_INIT_C -+--->BN_MP_EXPTMOD_C -| +--->BN_MP_INVMOD_C -| | +--->BN_FAST_MP_INVMOD_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MULMOD_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_MUL_2D_C | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_MUL_D_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2D_C -| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_COPY_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INVMOD_SLOW_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_MOD_C | | | | +--->BN_MP_DIV_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_MP_COPY_C | | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_INIT_MULTI_C | | | | | +--->BN_MP_MUL_2D_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_LSHD_C @@ -2107,18 +1591,8 @@ BN_MP_PRIME_FERMAT_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2D_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_COPY_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -2127,8 +1601,7 @@ BN_MP_PRIME_FERMAT_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C @@ -2137,108 +1610,16 @@ BN_MP_PRIME_FERMAT_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_ABS_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_REDUCE_IS_2K_L_C -| +--->BN_S_MP_EXPTMOD_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_REDUCE_SETUP_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C | | | | | +--->BN_MP_INIT_MULTI_C | | | | | +--->BN_MP_MOD_2D_C | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_MUL_2_C | | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C @@ -2273,104 +1654,32 @@ BN_MP_PRIME_FERMAT_C | | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_KARATSUBA_SQR_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_FAST_S_MP_SQR_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_S_MP_SQR_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C -| | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_2K_SETUP_L_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_2K_L_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_MUL_C | | | | +--->BN_MP_TOOM_MUL_C | | | | | +--->BN_MP_INIT_MULTI_C | | | | | +--->BN_MP_MOD_2D_C | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_MUL_2_C @@ -2410,18 +1719,14 @@ BN_MP_PRIME_FERMAT_C | | | | +--->BN_MP_KARATSUBA_MUL_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -2433,75 +1738,21 @@ BN_MP_PRIME_FERMAT_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_SQRMOD_C | | +--->BN_MP_SQR_C | | | +--->BN_MP_TOOM_SQR_C | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_MOD_2D_C | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_MUL_2_C @@ -2536,27 +1787,25 @@ BN_MP_PRIME_FERMAT_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_KARATSUBA_SQR_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_C | | | +--->BN_FAST_S_MP_SQR_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -2564,174 +1813,169 @@ BN_MP_PRIME_FERMAT_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_DR_IS_MODULUS_C -| +--->BN_MP_REDUCE_IS_2K_C -| | +--->BN_MP_REDUCE_2K_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_EXPTMOD_FAST_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_MONTGOMERY_SETUP_C -| | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | +--->BN_MP_MONTGOMERY_REDUCE_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C + + +BN_FAST_S_MP_SQR_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_MP_UNSIGNED_BIN_SIZE_C ++--->BN_MP_COUNT_BITS_C + + +BN_MP_INIT_SIZE_C ++--->BN_MP_INIT_C + + +BN_FAST_S_MP_MUL_DIGS_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_MP_REDUCE_IS_2K_L_C + + +BN_MP_REDUCE_IS_2K_C ++--->BN_MP_REDUCE_2K_C +| +--->BN_MP_INIT_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | +--->BN_MP_DR_SETUP_C -| | +--->BN_MP_DR_REDUCE_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_COUNT_BITS_C + + +BN_MP_SUB_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_REDUCE_2K_SETUP_C ++--->BN_MP_INIT_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_2EXPT_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_GROW_C ++--->BN_MP_CLEAR_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_DIV_2D_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_ZERO_C ++--->BN_MP_INIT_C ++--->BN_MP_MOD_2D_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C ++--->BN_MP_RSHD_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C + + +BN_MP_DR_REDUCE_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C + + +BN_MP_SQRT_C ++--->BN_MP_N_ROOT_C +| +--->BN_MP_N_ROOT_EX_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | +--->BN_MP_REDUCE_2K_SETUP_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_2K_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MULMOD_C +| | +--->BN_MP_EXPT_D_EX_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_MUL_C | | | | +--->BN_MP_TOOM_MUL_C | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C | | | | | +--->BN_MP_MOD_2D_C | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_MUL_2_C @@ -2766,27 +2010,27 @@ BN_MP_PRIME_FERMAT_C | | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_KARATSUBA_MUL_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -2794,188 +2038,75 @@ BN_MP_PRIME_FERMAT_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_SUB_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2D_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_COPY_C -| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_MUL_2D_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_MUL_D_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_FAST_S_MP_SQR_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C +| | | | +--->BN_S_MP_SQR_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C | | +--->BN_MP_MUL_C | | | +--->BN_MP_TOOM_MUL_C | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_MOD_2D_C | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_CLAMP_C @@ -3013,27 +2144,27 @@ BN_MP_PRIME_FERMAT_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_KARATSUBA_MUL_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLEAR_C | | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -3041,167 +2172,136 @@ BN_MP_PRIME_FERMAT_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_MP_CLEAR_C - - -BN_MP_SUBMOD_C -+--->BN_MP_INIT_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C -+--->BN_MP_MOD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SUB_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_SUB_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_ZERO_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_RSHD_C ++--->BN_MP_DIV_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_SET_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C | +--->BN_MP_ADD_C | | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C | +--->BN_MP_EXCH_C - - -BN_MP_MOD_2D_C -+--->BN_MP_ZERO_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_MP_TORADIX_N_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_LSHD_C | | +--->BN_MP_GROW_C -+--->BN_MP_DIV_D_C -| +--->BN_MP_COPY_C +| +--->BN_MP_MUL_D_C | | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C - - -BN_MP_CMP_C -+--->BN_MP_CMP_MAG_C - - -BNCORE_C - - -BN_MP_TORADIX_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_DIV_D_C -| +--->BN_MP_COPY_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C | | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C - - -BN_MP_ADD_D_C -+--->BN_MP_GROW_C -+--->BN_MP_SUB_D_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C | +--->BN_MP_CLAMP_C -+--->BN_MP_CLAMP_C - - -BN_MP_DIV_3_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C +--->BN_MP_EXCH_C +--->BN_MP_CLEAR_C -BN_FAST_S_MP_MUL_DIGS_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_MP_SQRMOD_C +BN_MP_MULMOD_C +--->BN_MP_INIT_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C | | +--->BN_MP_INIT_MULTI_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_MOD_2D_C @@ -3250,30 +2350,26 @@ BN_MP_SQRMOD_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_MULTI_C | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_SQR_C +| +--->BN_MP_KARATSUBA_MUL_C | | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C | | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_ADD_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_SQR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C +| +--->BN_S_MP_MUL_DIGS_C | | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C @@ -3327,6 +2423,7 @@ BN_MP_SQRMOD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C | +--->BN_MP_ADD_C | | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C @@ -3335,7 +2432,6 @@ BN_MP_SQRMOD_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C BN_MP_INVMOD_C @@ -3395,6 +2491,7 @@ BN_MP_INVMOD_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C @@ -3403,7 +2500,6 @@ BN_MP_INVMOD_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C | +--->BN_MP_SET_C | | +--->BN_MP_ZERO_C | +--->BN_MP_DIV_2_C @@ -3487,6 +2583,7 @@ BN_MP_INVMOD_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C @@ -3495,7 +2592,6 @@ BN_MP_INVMOD_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C | +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C | +--->BN_MP_SET_C @@ -3528,196 +2624,91 @@ BN_MP_INVMOD_C | | +--->BN_MP_CLEAR_C -BN_MP_AND_C +BN_MP_PRIME_MILLER_RABIN_C ++--->BN_MP_CMP_D_C +--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C | +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_MUL_D_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_FAST_MP_INVMOD_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_COPY_C ++--->BN_MP_SUB_D_C | +--->BN_MP_GROW_C -+--->BN_MP_MOD_C -| +--->BN_MP_INIT_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_ADD_D_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C | +--->BN_MP_CLAMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_MP_CMP_D_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C ++--->BN_MP_CNT_LSB_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C | | +--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C - - -BN_MP_FWRITE_C -+--->BN_MP_RADIX_SIZE_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C | +--->BN_MP_CLEAR_C -+--->BN_MP_TORADIX_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C - - -BN_S_MP_SQR_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_N_ROOT_C -+--->BN_MP_INIT_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_EXPT_D_C -| +--->BN_MP_INIT_COPY_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_EXPTMOD_C +| +--->BN_MP_INVMOD_C +| | +--->BN_FAST_MP_INVMOD_C | | | +--->BN_MP_INIT_MULTI_C | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SET_C | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_DIV_2_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -3725,7 +2716,9 @@ BN_MP_N_ROOT_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -3733,64 +2726,71 @@ BN_MP_N_ROOT_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_EXCH_C | | | +--->BN_MP_CLEAR_MULTI_C | | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_KARATSUBA_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_FAST_S_MP_SQR_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INVMOD_SLOW_C | | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SET_C | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_DIV_2_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C @@ -3807,69 +2807,251 @@ BN_MP_N_ROOT_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_C | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_ABS_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_REDUCE_IS_2K_L_C +| +--->BN_S_MP_EXPTMOD_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_REDUCE_SETUP_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SET_C +| | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C +| | +--->BN_MP_REDUCE_2K_L_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -3877,276 +3059,268 @@ BN_MP_N_ROOT_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_FAST_S_MP_SQR_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_DR_IS_MODULUS_C +| +--->BN_MP_REDUCE_IS_2K_C +| | +--->BN_MP_REDUCE_2K_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_EXPTMOD_FAST_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_MONTGOMERY_SETUP_C +| | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_MONTGOMERY_REDUCE_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_COPY_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_PRIME_RABIN_MILLER_TRIALS_C - - -BN_MP_RADIX_SIZE_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_DIV_D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C - - -BN_MP_READ_SIGNED_BIN_C -+--->BN_MP_READ_UNSIGNED_BIN_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C - - -BN_MP_PRIME_RANDOM_EX_C -+--->BN_MP_READ_UNSIGNED_BIN_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_COPY_C -| | +--->BN_MP_LSHD_C | | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_PRIME_IS_PRIME_C -| +--->BN_MP_CMP_D_C -| +--->BN_MP_PRIME_IS_DIVISIBLE_C -| | +--->BN_MP_MOD_D_C -| | | +--->BN_MP_DIV_D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_DR_SETUP_C +| | +--->BN_MP_DR_REDUCE_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_REDUCE_2K_SETUP_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_PRIME_MILLER_RABIN_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_COPY_C +| | +--->BN_MP_REDUCE_2K_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_SUB_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_D_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CNT_LSB_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C +| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXPTMOD_C -| | | +--->BN_MP_INVMOD_C -| | | | +--->BN_FAST_MP_INVMOD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SET_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MULMOD_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_COPY_C | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_MOD_C -| | | | | | +--->BN_MP_DIV_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | | +--->BN_MP_ABS_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C +| | | | | +--->BN_MP_ADD_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C @@ -4154,9 +3328,7 @@ BN_MP_PRIME_RANDOM_EX_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_SUB_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C @@ -4164,575 +3336,222 @@ BN_MP_PRIME_RANDOM_EX_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INVMOD_SLOW_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_MOD_C -| | | | | | +--->BN_MP_DIV_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | | +--->BN_MP_ABS_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_DIV_2_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_REDUCE_IS_2K_L_C -| | | +--->BN_S_MP_EXPTMOD_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_REDUCE_SETUP_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2D_C | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_COPY_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C | | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CMP_C | | | | | +--->BN_MP_SUB_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_2K_SETUP_L_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_2K_L_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_COPY_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_SQR_C -| | | | | +--->BN_MP_TOOM_SQR_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_DR_IS_MODULUS_C -| | | +--->BN_MP_REDUCE_IS_2K_C -| | | | +--->BN_MP_REDUCE_2K_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_EXPTMOD_FAST_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_MONTGOMERY_SETUP_C -| | | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | | | +--->BN_MP_DIV_2_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_DR_SETUP_C -| | | | +--->BN_MP_DR_REDUCE_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_REDUCE_2K_SETUP_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_2K_C -| | | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -4740,886 +3559,206 @@ BN_MP_PRIME_RANDOM_EX_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MULMOD_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_COPY_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_MOD_C -| | | | | | +--->BN_MP_DIV_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_COPY_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_SQR_C -| | | | | +--->BN_MP_TOOM_SQR_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_FAST_S_MP_SQR_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_SQRMOD_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_SQRMOD_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_2_C -| +--->BN_MP_GROW_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_KARATSUBA_SQR_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C +| | | +--->BN_MP_DIV_2_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_SUB_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C +| | +--->BN_FAST_S_MP_SQR_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C | | | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_SQR_C -| | +--->BN_MP_GROW_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -+--->BN_MP_ADD_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -+--->BN_MP_CLEAR_C - - -BN_MP_INIT_COPY_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C - - -BN_MP_CLAMP_C - - -BN_MP_TOOM_SQR_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C | +--->BN_MP_CLEAR_C -+--->BN_MP_MOD_2D_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C -+--->BN_MP_SQR_C -| +--->BN_MP_KARATSUBA_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_SQR_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_MUL_2_C -| +--->BN_MP_GROW_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_2D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_3_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C - - -BN_MP_MOD_C -+--->BN_MP_INIT_C -+--->BN_MP_DIV_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_SET_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_COPY_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C - - -BN_MP_INIT_C - - -BN_MP_TOOM_MUL_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_MOD_2D_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C -+--->BN_MP_MUL_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_MUL_2_C -| +--->BN_MP_GROW_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_READ_UNSIGNED_BIN_C ++--->BN_MP_GROW_C ++--->BN_MP_ZERO_C +--->BN_MP_MUL_2D_C -| +--->BN_MP_GROW_C +| +--->BN_MP_COPY_C | +--->BN_MP_LSHD_C +| | +--->BN_MP_RSHD_C | +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_3_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C ++--->BN_MP_CLAMP_C -BN_MP_PRIME_IS_PRIME_C -+--->BN_MP_CMP_D_C -+--->BN_MP_PRIME_IS_DIVISIBLE_C -| +--->BN_MP_MOD_D_C -| | +--->BN_MP_DIV_D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_C +BN_MP_N_ROOT_C ++--->BN_MP_N_ROOT_EX_C +| +--->BN_MP_INIT_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_EXPT_D_EX_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_PRIME_MILLER_RABIN_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CNT_LSB_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_EXPTMOD_C -| | +--->BN_MP_INVMOD_C -| | | +--->BN_FAST_MP_INVMOD_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | +--->BN_MP_ABS_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -5627,9 +3766,7 @@ BN_MP_PRIME_IS_PRIME_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -5637,68 +3774,60 @@ BN_MP_PRIME_IS_PRIME_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INVMOD_SLOW_C -| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | +--->BN_MP_ABS_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_COPY_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C @@ -5715,256 +3844,63 @@ BN_MP_PRIME_IS_PRIME_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_ABS_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_REDUCE_IS_2K_L_C -| | +--->BN_S_MP_EXPTMOD_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_REDUCE_SETUP_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_SETUP_L_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_L_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_SUB_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -5972,240 +3908,292 @@ BN_MP_PRIME_IS_PRIME_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_SQR_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DR_IS_MODULUS_C -| | +--->BN_MP_REDUCE_IS_2K_C -| | | +--->BN_MP_REDUCE_2K_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_EXPTMOD_FAST_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_MONTGOMERY_SETUP_C -| | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_DR_SETUP_C -| | | +--->BN_MP_DR_REDUCE_C +| | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_REDUCE_2K_SETUP_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + +BN_MP_EXPT_D_EX_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C + + +BN_MP_EXPT_D_C ++--->BN_MP_EXPT_D_EX_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_C -| | | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -6213,806 +4201,4335 @@ BN_MP_PRIME_IS_PRIME_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MULMOD_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_MP_SQRMOD_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C +| | | +--->BN_MP_DIV_3_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_FAST_S_MP_SQR_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C - - -BN_MP_COPY_C -+--->BN_MP_GROW_C - - -BN_S_MP_SUB_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C -BN_MP_READ_UNSIGNED_BIN_C -+--->BN_MP_GROW_C -+--->BN_MP_ZERO_C -+--->BN_MP_MUL_2D_C +BN_MP_XOR_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C | +--->BN_MP_COPY_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C +| | +--->BN_MP_GROW_C +--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C -BN_MP_EXPTMOD_FAST_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_INIT_C -+--->BN_MP_CLEAR_C -+--->BN_MP_MONTGOMERY_SETUP_C -+--->BN_FAST_MP_MONTGOMERY_REDUCE_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -+--->BN_MP_MONTGOMERY_REDUCE_C +BN_MP_REDUCE_SETUP_C ++--->BN_MP_2EXPT_C +| +--->BN_MP_ZERO_C | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C ++--->BN_MP_DIV_C | +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -+--->BN_MP_DR_SETUP_C -+--->BN_MP_DR_REDUCE_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -+--->BN_MP_REDUCE_2K_SETUP_C -| +--->BN_MP_2EXPT_C -| | +--->BN_MP_ZERO_C +| +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C -| +--->BN_S_MP_SUB_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_SET_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -+--->BN_MP_REDUCE_2K_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C +| +--->BN_MP_CMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_INIT_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_ADD_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_INIT_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_LSHD_C | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_MUL_D_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -+--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| +--->BN_MP_2EXPT_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C + + +BN_MP_RSHD_C ++--->BN_MP_ZERO_C + + +BN_MP_NEG_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C + + +BN_MP_SHRINK_C + + +BN_MP_PRIME_RANDOM_EX_C ++--->BN_MP_READ_UNSIGNED_BIN_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -+--->BN_MP_MULMOD_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_PRIME_IS_PRIME_C +| +--->BN_MP_CMP_D_C +| +--->BN_MP_PRIME_IS_DIVISIBLE_C +| | +--->BN_MP_MOD_D_C +| | | +--->BN_MP_DIV_D_C | | | | +--->BN_MP_COPY_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_INIT_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_PRIME_MILLER_RABIN_C +| | +--->BN_MP_INIT_COPY_C | | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_SUB_D_C | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_D_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CNT_LSB_C +| | +--->BN_MP_DIV_2D_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_MOD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXPTMOD_C +| | | +--->BN_MP_INVMOD_C +| | | | +--->BN_FAST_MP_INVMOD_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | | +--->BN_MP_ABS_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INVMOD_SLOW_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | | +--->BN_MP_ABS_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_REDUCE_IS_2K_L_C +| | | +--->BN_S_MP_EXPTMOD_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_REDUCE_SETUP_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_L_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SQR_C +| | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_DR_IS_MODULUS_C +| | | +--->BN_MP_REDUCE_IS_2K_C +| | | | +--->BN_MP_REDUCE_2K_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_EXPTMOD_FAST_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_MONTGOMERY_SETUP_C +| | | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_DR_SETUP_C +| | | | +--->BN_MP_DR_REDUCE_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_REDUCE_2K_SETUP_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MULMOD_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SQR_C +| | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_SQRMOD_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ADD_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_2_C +| +--->BN_MP_GROW_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_CMP_D_C + + +BN_MP_DR_IS_MODULUS_C + + +BN_MP_IMPORT_C ++--->BN_MP_ZERO_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLAMP_C + + +BN_MP_COUNT_BITS_C + + +BN_MP_FREAD_C ++--->BN_MP_ZERO_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_D_C + + +BN_MP_REDUCE_2K_L_C ++--->BN_MP_INIT_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_AND_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_SQRMOD_C ++--->BN_MP_INIT_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C + + +BN_MP_DIV_D_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_INIT_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_DIV_3_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_INIT_MULTI_C ++--->BN_MP_INIT_C ++--->BN_MP_CLEAR_C + + +BN_S_MP_EXPTMOD_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_INIT_C ++--->BN_MP_CLEAR_C ++--->BN_MP_REDUCE_SETUP_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_REDUCE_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_S_MP_MUL_HIGH_DIGS_C +| | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_D_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_REDUCE_2K_SETUP_L_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_REDUCE_2K_L_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_EXCH_C + + +BN_MP_MONTGOMERY_CALC_NORMALIZATION_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_2EXPT_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_GROW_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_MUL_2_C +| +--->BN_MP_GROW_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_MONTGOMERY_SETUP_C + + +BN_FAST_MP_INVMOD_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_MOD_C +| +--->BN_MP_INIT_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_CMP_D_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C + + +BN_MP_TO_UNSIGNED_BIN_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_CLEAR_MULTI_C ++--->BN_MP_CLEAR_C + + +BNCORE_C + + +BN_MP_TORADIX_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_DIV_D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C + + +BN_MP_EXPTMOD_FAST_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_INIT_C ++--->BN_MP_CLEAR_C ++--->BN_MP_MONTGOMERY_SETUP_C ++--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C ++--->BN_MP_MONTGOMERY_REDUCE_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C ++--->BN_MP_DR_SETUP_C ++--->BN_MP_DR_REDUCE_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C ++--->BN_MP_REDUCE_2K_SETUP_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_REDUCE_2K_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MULMOD_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_EXCH_C + + +BN_MP_MUL_D_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_MP_SET_LONG_LONG_C + + +BN_MP_DIV_2_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_ERROR_C + + +BN_MP_RAND_C ++--->BN_MP_ZERO_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C + + +BN_S_MP_SQR_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_CMP_C ++--->BN_MP_CMP_MAG_C + + +BN_MP_N_ROOT_EX_C ++--->BN_MP_INIT_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_EXPT_D_EX_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | +--->BN_FAST_S_MP_SQR_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ADD_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_PRIME_IS_DIVISIBLE_C ++--->BN_MP_MOD_D_C +| +--->BN_MP_DIV_D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C + + +BN_MP_INIT_SET_INT_C ++--->BN_MP_INIT_C ++--->BN_MP_SET_INT_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C + + +BN_MP_DIV_3_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_MONTGOMERY_REDUCE_C ++--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C + + +BN_MP_INVMOD_SLOW_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_MOD_C +| +--->BN_MP_INIT_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C | | +--->BN_MP_SUB_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_CMP_D_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C + + +BN_S_MP_ADD_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_MP_READ_SIGNED_BIN_C ++--->BN_MP_READ_UNSIGNED_BIN_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C + + +BN_MP_MOD_D_C ++--->BN_MP_DIV_D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + +BN_MP_SQRTMOD_PRIME_C ++--->BN_MP_CMP_D_C ++--->BN_MP_ZERO_C ++--->BN_MP_JACOBI_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_CNT_LSB_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_MOD_D_C +| +--->BN_MP_DIV_D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_EXPTMOD_C +| +--->BN_MP_INIT_C +| +--->BN_MP_INVMOD_C +| | +--->BN_FAST_MP_INVMOD_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INVMOD_SLOW_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_ABS_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_REDUCE_IS_2K_L_C +| +--->BN_S_MP_EXPTMOD_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_REDUCE_SETUP_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_2K_L_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_DR_IS_MODULUS_C +| +--->BN_MP_REDUCE_IS_2K_C +| | +--->BN_MP_REDUCE_2K_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_EXPTMOD_FAST_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_MONTGOMERY_SETUP_C +| | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_DR_SETUP_C +| | +--->BN_MP_DR_REDUCE_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_REDUCE_2K_SETUP_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_2K_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MULMOD_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_FAST_S_MP_SQR_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_SET_INT_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_SQRMOD_C +| +--->BN_MP_INIT_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_2_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_SQR_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C +| | +--->BN_S_MP_SQR_C | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_KARATSUBA_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C -| +--->BN_FAST_S_MP_SQR_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C @@ -7021,572 +8538,911 @@ BN_MP_EXPTMOD_FAST_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C ++--->BN_MP_MULMOD_C +| +--->BN_MP_INIT_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C +| | +--->BN_S_MP_MUL_DIGS_C | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -+--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLAMP_C ++--->BN_MP_SET_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C -BN_MP_TO_UNSIGNED_BIN_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C +BN_FAST_S_MP_MUL_HIGH_DIGS_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C -BN_MP_SET_INT_C -+--->BN_MP_ZERO_C -+--->BN_MP_MUL_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_RSHD_C +BN_REVERSE_C + + +BN_MP_PRIME_NEXT_PRIME_C ++--->BN_MP_CMP_D_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ADD_D_C +| | +--->BN_MP_CLAMP_C | +--->BN_MP_CLAMP_C -+--->BN_MP_CLAMP_C - - -BN_MP_MOD_D_C -+--->BN_MP_DIV_D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_MOD_2D_C ++--->BN_MP_MOD_D_C +| +--->BN_MP_DIV_D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_DIV_3_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C ++--->BN_MP_INIT_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C - - -BN_MP_SQR_C -+--->BN_MP_TOOM_SQR_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_ZERO_C ++--->BN_MP_PRIME_MILLER_RABIN_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C +| +--->BN_MP_CNT_LSB_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C +| +--->BN_MP_EXPTMOD_C +| | +--->BN_MP_INVMOD_C +| | | +--->BN_FAST_MP_INVMOD_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INVMOD_SLOW_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_CLEAR_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_KARATSUBA_SQR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| +--->BN_MP_ADD_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_C -+--->BN_FAST_S_MP_SQR_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_S_MP_SQR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C - - -BN_MP_MULMOD_C -+--->BN_MP_INIT_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ABS_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_REDUCE_IS_2K_L_C +| | +--->BN_S_MP_EXPTMOD_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_REDUCE_SETUP_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_2K_L_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DR_IS_MODULUS_C +| | +--->BN_MP_REDUCE_IS_2K_C +| | | +--->BN_MP_REDUCE_2K_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_EXPTMOD_FAST_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_MONTGOMERY_SETUP_C +| | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C -+--->BN_MP_MOD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_MONTGOMERY_REDUCE_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_DR_SETUP_C +| | | +--->BN_MP_DR_REDUCE_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C - - -BN_MP_DIV_2D_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_ZERO_C -+--->BN_MP_INIT_C -+--->BN_MP_MOD_2D_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C -+--->BN_MP_RSHD_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C - - -BN_S_MP_ADD_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_FAST_S_MP_SQR_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_S_MP_MUL_DIGS_C -+--->BN_FAST_S_MP_MUL_DIGS_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_XOR_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_RADIX_SMAP_C - - -BN_MP_DR_IS_MODULUS_C - - -BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_2EXPT_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_GROW_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_MUL_2_C -| +--->BN_MP_GROW_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_SUB_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_INIT_MULTI_C -+--->BN_MP_INIT_C -+--->BN_MP_CLEAR_C - - -BN_S_MP_MUL_HIGH_DIGS_C -+--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_PRIME_NEXT_PRIME_C -+--->BN_MP_CMP_D_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MOD_D_C -| +--->BN_MP_DIV_D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_PRIME_MILLER_RABIN_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_CNT_LSB_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_EXPTMOD_C -| | +--->BN_MP_INVMOD_C -| | | +--->BN_FAST_MP_INVMOD_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_REDUCE_2K_SETUP_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | +--->BN_MP_ABS_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_2K_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MULMOD_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C | | | | | | | +--->BN_S_MP_ADD_C | | | | | | | | +--->BN_MP_GROW_C | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | | +--->BN_S_MP_SUB_C | | | | | | | | +--->BN_MP_GROW_C | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_SUB_C | | | | | | | +--->BN_S_MP_ADD_C | | | | | | | | +--->BN_MP_GROW_C | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | | +--->BN_S_MP_SUB_C | | | | | | | | +--->BN_MP_GROW_C | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_DIV_2_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_MUL_D_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_ADD_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INVMOD_SLOW_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_MOD_C | | | | | +--->BN_MP_DIV_C | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_MP_COPY_C | | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_INIT_MULTI_C | | | | | | +--->BN_MP_MUL_2D_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_LSHD_C @@ -7608,8 +9464,6 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | | | | +--->BN_MP_GROW_C | | | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C | | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_LSHD_C | | | | | | | +--->BN_MP_GROW_C @@ -7619,8 +9473,7 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_ADD_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C @@ -7629,46 +9482,7 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_ABS_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_REDUCE_IS_2K_L_C -| | +--->BN_S_MP_EXPTMOD_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_REDUCE_SETUP_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MOD_C | | | | +--->BN_MP_DIV_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_MP_COPY_C @@ -7705,100 +9519,163 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_DIV_3_C | | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_KARATSUBA_MUL_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_SQRMOD_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_MOD_2D_C | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_COPY_C | | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_SUB_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -7806,9 +9683,7 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -7816,290 +9691,475 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_DIV_2_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_SETUP_L_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2D_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_L_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C + + +BN_MP_TOOM_MUL_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_MOD_2D_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C ++--->BN_MP_MUL_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_MUL_2_C +| +--->BN_MP_GROW_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_3_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C + + +BN_MP_CNT_LSB_C + + +BN_MP_CLAMP_C + + +BN_MP_SUB_D_C ++--->BN_MP_GROW_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLAMP_C + + +BN_MP_ADD_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_REDUCE_2K_C ++--->BN_MP_INIT_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_REDUCE_C ++--->BN_MP_REDUCE_SETUP_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_S_MP_MUL_HIGH_DIGS_C +| +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MOD_2D_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_S_MP_MUL_DIGS_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_D_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_EXPTMOD_C ++--->BN_MP_INIT_C ++--->BN_MP_INVMOD_C +| +--->BN_FAST_MP_INVMOD_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_SQR_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DR_IS_MODULUS_C -| | +--->BN_MP_REDUCE_IS_2K_C -| | | +--->BN_MP_REDUCE_2K_C -| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -8107,369 +10167,192 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_EXPTMOD_FAST_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_MONTGOMERY_SETUP_C -| | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_DR_SETUP_C -| | | +--->BN_MP_DR_REDUCE_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CMP_D_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_REDUCE_2K_SETUP_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MULMOD_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_INVMOD_SLOW_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CMP_D_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C ++--->BN_MP_ABS_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_CLEAR_MULTI_C ++--->BN_MP_REDUCE_IS_2K_L_C ++--->BN_S_MP_EXPTMOD_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_REDUCE_SETUP_C +| | +--->BN_MP_2EXPT_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_EXCH_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_MP_SQRMOD_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_REDUCE_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_MOD_2D_C | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_COPY_C @@ -8477,8 +10360,6 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_COPY_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_MUL_2_C | | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C @@ -8511,868 +10392,627 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_KARATSUBA_MUL_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C - - -BN_MP_SIGNED_BIN_SIZE_C -+--->BN_MP_UNSIGNED_BIN_SIZE_C -| +--->BN_MP_COUNT_BITS_C - - -BN_MP_INVMOD_SLOW_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_MOD_C -| +--->BN_MP_INIT_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_MP_CMP_D_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C - - -BN_MP_LCM_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_GCD_C -| +--->BN_MP_ABS_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_CNT_LSB_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_EXCH_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_DIV_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_SET_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_INIT_COPY_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SUB_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C +| | +--->BN_MP_CMP_D_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C +| +--->BN_MP_REDUCE_2K_SETUP_L_C +| | +--->BN_MP_2EXPT_C +| | | +--->BN_MP_ZERO_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C +| +--->BN_MP_REDUCE_2K_L_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C - - -BN_MP_REDUCE_2K_L_C -+--->BN_MP_INIT_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_CLAMP_C | +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | +--->BN_FAST_S_MP_SQR_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C +| | +--->BN_S_MP_SQR_C | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_REVERSE_C - - -BN_MP_PRIME_IS_DIVISIBLE_C -+--->BN_MP_MOD_D_C -| +--->BN_MP_DIV_D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_KARATSUBA_MUL_C | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C - - -BN_MP_SET_C -+--->BN_MP_ZERO_C - - -BN_MP_GCD_C -+--->BN_MP_ABS_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_ZERO_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_CNT_LSB_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_EXCH_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_MP_REDUCE_2K_SETUP_L_C -+--->BN_MP_INIT_C -+--->BN_MP_2EXPT_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_GROW_C -+--->BN_MP_COUNT_BITS_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_MP_READ_RADIX_C -+--->BN_MP_ZERO_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C - - -BN_FAST_S_MP_MUL_HIGH_DIGS_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_FAST_MP_MONTGOMERY_REDUCE_C -+--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C -+--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C - - -BN_MP_DIV_D_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_DIV_3_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C | +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_REDUCE_2K_SETUP_C -+--->BN_MP_INIT_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_2EXPT_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_GROW_C -+--->BN_MP_CLEAR_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_INIT_SET_C -+--->BN_MP_INIT_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C - - -BN_MP_REDUCE_2K_C -+--->BN_MP_INIT_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C ++--->BN_MP_DR_IS_MODULUS_C ++--->BN_MP_REDUCE_IS_2K_C +| +--->BN_MP_REDUCE_2K_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_COUNT_BITS_C ++--->BN_MP_EXPTMOD_FAST_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_MONTGOMERY_SETUP_C +| +--->BN_FAST_MP_MONTGOMERY_REDUCE_C | | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_ERROR_C - - -BN_MP_EXPT_D_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| +--->BN_MP_MONTGOMERY_REDUCE_C | | +--->BN_MP_GROW_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| +--->BN_MP_DR_SETUP_C +| +--->BN_MP_DR_REDUCE_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| +--->BN_MP_REDUCE_2K_SETUP_C +| | +--->BN_MP_2EXPT_C | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_REDUCE_2K_C +| | +--->BN_MP_DIV_2D_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_D_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | +--->BN_MP_2EXPT_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SET_C | | | +--->BN_MP_ZERO_C | | +--->BN_MP_MUL_2_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_MULMOD_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_SQR_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C - - -BN_S_MP_EXPTMOD_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_INIT_C -+--->BN_MP_CLEAR_C -+--->BN_MP_REDUCE_SETUP_C -| +--->BN_MP_2EXPT_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_REDUCE_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C | | | +--->BN_MP_INIT_MULTI_C | | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_MUL_2_C | | | | +--->BN_MP_GROW_C | | | +--->BN_MP_ADD_C @@ -9407,106 +11047,32 @@ BN_S_MP_EXPTMOD_C | | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | +--->BN_FAST_S_MP_SQR_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_S_MP_SQR_C | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| +--->BN_S_MP_MUL_HIGH_DIGS_C -| | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_D_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_REDUCE_2K_SETUP_L_C -| +--->BN_MP_2EXPT_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_GROW_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_REDUCE_2K_L_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C | +--->BN_MP_MUL_C | | +--->BN_MP_TOOM_MUL_C | | | +--->BN_MP_INIT_MULTI_C | | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_MUL_2_C @@ -9543,22 +11109,17 @@ BN_S_MP_EXPTMOD_C | | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C | | +--->BN_MP_KARATSUBA_MUL_C | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_RSHD_C @@ -9570,143 +11131,90 @@ BN_S_MP_EXPTMOD_C | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C + + +BN_MP_LSHD_C ++--->BN_MP_GROW_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C + + +BN_MP_ADD_D_C ++--->BN_MP_GROW_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLAMP_C + + +BN_MP_GET_LONG_C + + +BN_MP_GET_LONG_LONG_C + + +BN_MP_CLEAR_C + + +BN_MP_EXTEUCLID_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_DIV_C | +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -+--->BN_MP_MOD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C +| +--->BN_MP_CMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C | +--->BN_MP_ADD_C | | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_INIT_C | | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_KARATSUBA_SQR_C -| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_INIT_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_MUL_D_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +--->BN_MP_MUL_C | +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_CLAMP_C @@ -9742,76 +11250,63 @@ BN_S_MP_EXPTMOD_C | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_DIV_3_C | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C | +--->BN_MP_KARATSUBA_MUL_C | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C | | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLEAR_C | +--->BN_FAST_S_MP_MUL_DIGS_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C | +--->BN_S_MP_MUL_DIGS_C | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_EXCH_C - - -BN_MP_ABS_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C - - -BN_MP_INIT_SET_INT_C -+--->BN_MP_INIT_C -+--->BN_MP_SET_INT_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C - - -BN_MP_SUB_D_C -+--->BN_MP_GROW_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_NEG_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C -BN_MP_TO_SIGNED_BIN_C -+--->BN_MP_TO_UNSIGNED_BIN_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C +BN_MP_TORADIX_N_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_DIV_D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C | +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C | | +--->BN_MP_ZERO_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C @@ -9819,21 +11314,28 @@ BN_MP_TO_SIGNED_BIN_C | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C | +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C -BN_MP_DIV_2_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_MP_REDUCE_IS_2K_C -+--->BN_MP_REDUCE_2K_C -| +--->BN_MP_INIT_C -| +--->BN_MP_COUNT_BITS_C +BN_MP_RADIX_SIZE_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_DIV_D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C | +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C | | +--->BN_MP_ZERO_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C @@ -9841,185 +11343,85 @@ BN_MP_REDUCE_IS_2K_C | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C | +--->BN_MP_CLEAR_C -+--->BN_MP_COUNT_BITS_C - - -BN_MP_INIT_SIZE_C -+--->BN_MP_INIT_C ++--->BN_MP_CLEAR_C -BN_MP_DIV_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_ZERO_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_SET_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_ABS_C -+--->BN_MP_MUL_2D_C +BN_S_MP_MUL_HIGH_DIGS_C ++--->BN_FAST_S_MP_MUL_HIGH_DIGS_C | +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_INIT_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C +--->BN_MP_INIT_SIZE_C | +--->BN_MP_INIT_C -+--->BN_MP_INIT_C -+--->BN_MP_INIT_COPY_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -+--->BN_MP_RSHD_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C +--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C +--->BN_MP_CLEAR_C -BN_MP_CLEAR_C - - -BN_MP_MONTGOMERY_REDUCE_C -+--->BN_FAST_MP_MONTGOMERY_REDUCE_C +BN_MP_SET_INT_C ++--->BN_MP_ZERO_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C | +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_RSHD_C | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -+--->BN_MP_GROW_C +--->BN_MP_CLAMP_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -BN_MP_MUL_2_C -+--->BN_MP_GROW_C +BN_MP_DR_SETUP_C -BN_MP_UNSIGNED_BIN_SIZE_C -+--->BN_MP_COUNT_BITS_C +BN_MP_MUL_2_C ++--->BN_MP_GROW_C -BN_MP_ADDMOD_C -+--->BN_MP_INIT_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C -+--->BN_MP_MOD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C +BN_MP_FWRITE_C ++--->BN_MP_RADIX_SIZE_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C | | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_ZERO_C | | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_TORADIX_C +| +--->BN_MP_INIT_COPY_C | | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C +| +--->BN_MP_DIV_D_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C - - -BN_MP_ADD_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_TO_SIGNED_BIN_N_C -+--->BN_MP_SIGNED_BIN_SIZE_C -| +--->BN_MP_UNSIGNED_BIN_SIZE_C -| | +--->BN_MP_COUNT_BITS_C -+--->BN_MP_TO_SIGNED_BIN_C -| +--->BN_MP_TO_UNSIGNED_BIN_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C | | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C @@ -10027,71 +11429,92 @@ BN_MP_TO_SIGNED_BIN_N_C | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C -BN_MP_REDUCE_IS_2K_L_C +BN_MP_GROW_C -BN_MP_RAND_C +BN_MP_READ_RADIX_C +--->BN_MP_ZERO_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C +--->BN_MP_ADD_D_C | +--->BN_MP_GROW_C | +--->BN_MP_SUB_D_C | | +--->BN_MP_CLAMP_C | +--->BN_MP_CLAMP_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C - -BN_MP_CNT_LSB_C - - -BN_MP_2EXPT_C -+--->BN_MP_ZERO_C -+--->BN_MP_GROW_C - -BN_MP_RSHD_C -+--->BN_MP_ZERO_C +BN_S_MP_MUL_DIGS_C ++--->BN_FAST_S_MP_MUL_DIGS_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C -BN_MP_SHRINK_C +BN_PRIME_TAB_C -BN_MP_TO_UNSIGNED_BIN_N_C -+--->BN_MP_UNSIGNED_BIN_SIZE_C -| +--->BN_MP_COUNT_BITS_C -+--->BN_MP_TO_UNSIGNED_BIN_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_2D_C +BN_MP_IS_SQUARE_C ++--->BN_MP_MOD_D_C +| +--->BN_MP_DIV_D_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C - - -BN_MP_REDUCE_C -+--->BN_MP_REDUCE_SETUP_C -| +--->BN_MP_2EXPT_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_SET_INT_C +| +--->BN_MP_INIT_C +| +--->BN_MP_SET_INT_C | | +--->BN_MP_ZERO_C -| | +--->BN_MP_GROW_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MOD_C +| +--->BN_MP_INIT_C | +--->BN_MP_DIV_C | | +--->BN_MP_CMP_MAG_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_ZERO_C | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_SET_C | | +--->BN_MP_COUNT_BITS_C @@ -10117,7 +11540,6 @@ BN_MP_REDUCE_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_INIT_C | | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLEAR_C @@ -10128,185 +11550,310 @@ BN_MP_REDUCE_C | | +--->BN_MP_CLEAR_MULTI_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_S_MP_MUL_HIGH_DIGS_C -| +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MOD_2D_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_S_MP_MUL_DIGS_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C | +--->BN_MP_CLEAR_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_D_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_MP_MUL_2D_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_GROW_C -+--->BN_MP_LSHD_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -+--->BN_MP_CLAMP_C - - -BN_MP_GET_INT_C - - -BN_MP_JACOBI_C -+--->BN_MP_CMP_D_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_CNT_LSB_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C ++--->BN_MP_GET_INT_C ++--->BN_MP_SQRT_C +| +--->BN_MP_N_ROOT_C +| | +--->BN_MP_N_ROOT_EX_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_SET_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_EXPT_D_EX_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_SQR_C +| | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_SUB_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C | +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C | +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_MOD_C | +--->BN_MP_DIV_C | | +--->BN_MP_CMP_MAG_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C | | +--->BN_MP_INIT_MULTI_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_SET_C @@ -10315,7 +11862,6 @@ BN_MP_JACOBI_C | | +--->BN_MP_MUL_2D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CMP_C | | +--->BN_MP_SUB_C @@ -10332,182 +11878,49 @@ BN_MP_JACOBI_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C | | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_MULTI_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C | | +--->BN_MP_MUL_D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_CLEAR_MULTI_C -+--->BN_MP_CLEAR_C - - -BN_MP_MUL_C -+--->BN_MP_TOOM_MUL_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_KARATSUBA_MUL_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| +--->BN_MP_CLEAR_C -+--->BN_FAST_S_MP_MUL_DIGS_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_S_MP_MUL_DIGS_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C - - -BN_MP_EXTEUCLID_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_DIV_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C | +--->BN_MP_ADD_C | | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_INIT_COPY_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_MUL_D_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_EXCH_C | +--->BN_MP_CLEAR_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLEAR_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C | | +--->BN_MP_RSHD_C | | | +--->BN_MP_ZERO_C | | +--->BN_MP_MUL_2_C @@ -10548,36 +11961,84 @@ BN_MP_EXTEUCLID_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_MULTI_C | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C +| +--->BN_MP_KARATSUBA_SQR_C | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C | | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C +| +--->BN_FAST_S_MP_SQR_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_CLEAR_C + + +BN_MP_COPY_C ++--->BN_MP_GROW_C + + +BN_MP_TOOM_SQR_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_MOD_2D_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C ++--->BN_MP_SQR_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_C ++--->BN_MP_MUL_2_C +| +--->BN_MP_GROW_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +--->BN_MP_SUB_C | +--->BN_S_MP_ADD_C | | +--->BN_MP_GROW_C @@ -10586,207 +12047,269 @@ BN_MP_EXTEUCLID_C | +--->BN_S_MP_SUB_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -+--->BN_MP_NEG_C -+--->BN_MP_EXCH_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_3_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C +--->BN_MP_CLEAR_MULTI_C | +--->BN_MP_CLEAR_C -BN_MP_DR_REDUCE_C -+--->BN_MP_GROW_C +BN_MP_KARATSUBA_SQR_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +--->BN_S_MP_SUB_C - - -BN_MP_FREAD_C -+--->BN_MP_ZERO_C -+--->BN_MP_MUL_D_C | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_ADD_D_C ++--->BN_MP_LSHD_C | +--->BN_MP_GROW_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_D_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C ++--->BN_MP_ADD_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_CLEAR_C -BN_MP_REDUCE_SETUP_C -+--->BN_MP_2EXPT_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_GROW_C -+--->BN_MP_DIV_C -| +--->BN_MP_CMP_MAG_C +BN_MP_GCD_C ++--->BN_MP_ABS_C | +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_SET_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C ++--->BN_MP_CNT_LSB_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C | +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_INIT_COPY_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_EXCH_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_GROW_C | +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C | | +--->BN_MP_RSHD_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ZERO_C | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C -BN_MP_MONTGOMERY_SETUP_C +BN_MP_MOD_2D_C ++--->BN_MP_ZERO_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C -BN_MP_KARATSUBA_MUL_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C +BN_FAST_MP_MONTGOMERY_REDUCE_C ++--->BN_MP_GROW_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C ++--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C + + +BN_MP_SUBMOD_C ++--->BN_MP_INIT_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C | | +--->BN_MP_MUL_D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C + + +BN_MP_GET_INT_C + + +BN_MP_SET_LONG_C + + +BN_MP_ADDMOD_C ++--->BN_MP_INIT_C +--->BN_MP_ADD_C | +--->BN_S_MP_ADD_C | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C | +--->BN_MP_CMP_MAG_C | +--->BN_S_MP_SUB_C | | +--->BN_MP_GROW_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLAMP_C +--->BN_MP_CLEAR_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C -BN_MP_LSHD_C -+--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C - - -BN_MP_PRIME_MILLER_RABIN_C +BN_MP_PRIME_FERMAT_C +--->BN_MP_CMP_D_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CNT_LSB_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C ++--->BN_MP_INIT_C +--->BN_MP_EXPTMOD_C | +--->BN_MP_INVMOD_C | | +--->BN_FAST_MP_INVMOD_C @@ -10821,10 +12344,18 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_CLEAR_MULTI_C | | | | | | +--->BN_MP_CLEAR_C | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -10835,6 +12366,7 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C @@ -10843,7 +12375,6 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_SET_C | | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_DIV_2_C @@ -10902,10 +12433,18 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_CLEAR_MULTI_C | | | | | | +--->BN_MP_CLEAR_C | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -10916,6 +12455,7 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C @@ -10924,7 +12464,6 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C | | | +--->BN_MP_SET_C @@ -10993,8 +12532,15 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C @@ -11004,6 +12550,10 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_REDUCE_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_MUL_C @@ -11053,18 +12603,14 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_MP_KARATSUBA_MUL_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | +--->BN_FAST_S_MP_MUL_DIGS_C @@ -11129,6 +12675,15 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_REDUCE_2K_L_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_MUL_C | | | | +--->BN_MP_TOOM_MUL_C | | | | | +--->BN_MP_INIT_MULTI_C @@ -11178,18 +12733,14 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_MP_KARATSUBA_MUL_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -11236,8 +12787,15 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C @@ -11246,6 +12804,7 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C | | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C @@ -11254,7 +12813,6 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_SQR_C @@ -11302,22 +12860,16 @@ BN_MP_PRIME_MILLER_RABIN_C | | | +--->BN_MP_KARATSUBA_SQR_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C | | | +--->BN_FAST_S_MP_SQR_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -11370,18 +12922,14 @@ BN_MP_PRIME_MILLER_RABIN_C | | | +--->BN_MP_KARATSUBA_MUL_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C @@ -11400,6 +12948,15 @@ BN_MP_PRIME_MILLER_RABIN_C | +--->BN_MP_REDUCE_IS_2K_C | | +--->BN_MP_REDUCE_2K_C | | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -11442,6 +12999,15 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_REDUCE_2K_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -11514,18 +13080,14 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_MP_KARATSUBA_MUL_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -11565,8 +13127,15 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -11575,6 +13144,7 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C @@ -11583,7 +13153,6 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C | | +--->BN_MP_SET_C | | | +--->BN_MP_ZERO_C | | +--->BN_MP_MOD_C @@ -11613,8 +13182,15 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C @@ -11623,6 +13199,7 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C | | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C @@ -11631,7 +13208,6 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_SQR_C @@ -11679,22 +13255,16 @@ BN_MP_PRIME_MILLER_RABIN_C | | | +--->BN_MP_KARATSUBA_SQR_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C | | | +--->BN_FAST_S_MP_SQR_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -11747,18 +13317,14 @@ BN_MP_PRIME_MILLER_RABIN_C | | | +--->BN_MP_KARATSUBA_MUL_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C @@ -11773,141 +13339,18 @@ BN_MP_PRIME_MILLER_RABIN_C | | +--->BN_MP_EXCH_C +--->BN_MP_CMP_C | +--->BN_MP_CMP_MAG_C -+--->BN_MP_SQRMOD_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_KARATSUBA_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_FAST_S_MP_SQR_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C +--->BN_MP_CLEAR_C -BN_MP_DR_SETUP_C - - -BN_MP_CMP_MAG_C +BN_MP_REDUCE_2K_SETUP_L_C ++--->BN_MP_INIT_C ++--->BN_MP_2EXPT_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_GROW_C ++--->BN_MP_COUNT_BITS_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C diff --git a/libtommath/changes.txt b/libtommath/changes.txt index 4fc0913..640b497 100644 --- a/libtommath/changes.txt +++ b/libtommath/changes.txt @@ -1,11 +1,32 @@ +Feb 5th, 2016 +v1.0 + -- Bump to 1.0 + -- Dirkjan Bussink provided a faster version of mp_expt_d() + -- Moritz Lenz contributed a fix to mp_mod() + and provided mp_get_long() and mp_set_long() + -- Fixed bugs in mp_read_radix(), mp_radix_size + Thanks to shameister, Gerhard R, + -- Christopher Brown provided mp_export() and mp_import() + -- Improvements in the code of mp_init_copy() + Thanks to ramkumarkoppu, + -- lomereiter provided mp_balance_mul() + -- Alexander Boström from the heimdal project contributed patches to + mp_prime_next_prime() and mp_invmod() and added a mp_isneg() macro + -- Fix build issues for Linux x32 ABI + -- Added mp_get_long_long() and mp_set_long_long() + -- Carlin provided a patch to use arc4random() instead of rand() + on platforms where it is supported + -- Karel Miko provided mp_sqrtmod_prime() + + July 23rd, 2010 v0.42.0 -- Fix for mp_prime_next_prime() bug when checking generated prime -- allow mp_shrink to shrink initialized, but empty MPI's - -- Added project and solution files for Visual Studio 2005 and Visual Studio 2008. + -- Added project and solution files for Visual Studio 2005 and Visual Studio 2008. March 10th, 2007 -v0.41 -- Wolfgang Ehrhardt suggested a quick fix to mp_div_d() which makes the detection of powers of two quicker. +v0.41 -- Wolfgang Ehrhardt suggested a quick fix to mp_div_d() which makes the detection of powers of two quicker. -- [CRI] Added libtommath.dsp for Visual C++ users. December 24th, 2006 @@ -22,11 +43,11 @@ v0.39 -- Jim Wigginton pointed out my Montgomery examples in figures 6.4 and 6. Jan 26th, 2006 v0.38 -- broken makefile.shared fixed -- removed some carry stores that were not required [updated text] - + November 18th, 2005 v0.37 -- [Don Porter] reported on a TCL list [HEY SEND ME BUGREPORTS ALREADY!!!] that mp_add_d() would compute -0 with some inputs. Fixed. -- [rinick@gmail.com] reported the makefile.bcc was messed up. Fixed. - -- [Kevin Kenny] reported some issues with mp_toradix_n(). Now it doesn't require a min of 3 chars of output. + -- [Kevin Kenny] reported some issues with mp_toradix_n(). Now it doesn't require a min of 3 chars of output. -- Made the make command renamable. Wee August 1st, 2005 @@ -36,8 +57,8 @@ v0.36 -- LTM_PRIME_2MSB_ON was fixed and the "OFF" flag was removed. -- Ported LTC patch to fix the prime_random_ex() function to get the bitsize correct [and the maskOR flags] -- Kevin Kenny pointed out a stray // -- David Hulton pointed out a typo in the textbook [mp_montgomery_setup() pseudo-code] - -- Neal Hamilton (Elliptic Semiconductor) pointed out that my Karatsuba notation was backwards and that I could use - unsigned operations in the routine. + -- Neal Hamilton (Elliptic Semiconductor) pointed out that my Karatsuba notation was backwards and that I could use + unsigned operations in the routine. -- Paul Schmidt pointed out a linking error in mp_exptmod() when BN_S_MP_EXPTMOD_C is undefined (and another for read_radix) -- Updated makefiles to be way more flexible @@ -48,7 +69,7 @@ v0.35 -- Stupid XOR function missing line again... oops. -- [Wolfgang Ehrhardt] Suggested a fix for mp_reduce() which avoided underruns. ;-) -- mp_rand() would emit one too many digits and it was possible to get a 0 out of it ... oops -- Added montgomery to the testing to make sure it handles 1..10 digit moduli correctly - -- Fixed bug in comba that would lead to possible erroneous outputs when "pa < digs" + -- Fixed bug in comba that would lead to possible erroneous outputs when "pa < digs" -- Fixed bug in mp_toradix_size for "0" [Kevin Kenny] -- Updated chapters 1-5 of the textbook ;-) It now talks about the new comba code! @@ -59,7 +80,7 @@ v0.34 -- Fixed two more small errors in mp_prime_random_ex() -- Added "large" diminished radix support. Speeds up things like DSA where the moduli is of the form 2^k - P for some P < 2^(k/2) or so Actually is faster than Montgomery on my AMD64 (and probably much faster on a P4) -- Updated the manual a bit - -- Ok so I haven't done the textbook work yet... My current freelance gig has landed me in France till the + -- Ok so I haven't done the textbook work yet... My current freelance gig has landed me in France till the end of Feb/05. Once I get back I'll have tons of free time and I plan to go to town on the book. As of this release the API will freeze. At least until the book catches up with all the changes. I welcome bug reports but new algorithms will have to wait. @@ -76,7 +97,7 @@ v0.33 -- Fixed "small" variant for mp_div() which would munge with negative div October 29th, 2004 v0.32 -- Added "makefile.shared" for shared object support -- Added more to the build options/configs in the manual - -- Started the Depends framework, wrote dep.pl to scan deps and + -- Started the Depends framework, wrote dep.pl to scan deps and produce "callgraph.txt" ;-) -- Wrote SC_RSA_1 which will enable close to the minimum required to perform RSA on 32-bit [or 64-bit] platforms with LibTomCrypt @@ -84,7 +105,7 @@ v0.32 -- Added "makefile.shared" for shared object support you want to use as your mp_div() at build time. Saves roughly 8KB or so. -- Renamed a few files and changed some comments to make depends system work better. (No changes to function names) - -- Merged in new Combas that perform 2 reads per inner loop instead of the older + -- Merged in new Combas that perform 2 reads per inner loop instead of the older 3reads/2writes per inner loop of the old code. Really though if you want speed learn to use TomsFastMath ;-) @@ -113,8 +134,8 @@ v0.30 -- Added "mp_toradix_n" which stores upto "n-1" least significant digits call. -- Removed /etclib directory [um LibTomPoly deprecates this]. -- Fixed mp_mod() so the sign of the result agrees with the sign of the modulus. - ++ N.B. My semester is almost up so expect updates to the textbook to be posted to the libtomcrypt.org - website. + ++ N.B. My semester is almost up so expect updates to the textbook to be posted to the libtomcrypt.org + website. Jan 25th, 2004 v0.29 ++ Note: "Henrik" from the v0.28 changelog refers to Henrik Goldman ;-) diff --git a/libtommath/demo/demo.c b/libtommath/demo/demo.c deleted file mode 100644 index e1f8a5e..0000000 --- a/libtommath/demo/demo.c +++ /dev/null @@ -1,736 +0,0 @@ -#include - -#ifdef IOWNANATHLON -#include -#define SLEEP sleep(4) -#else -#define SLEEP -#endif - -#include "tommath.h" - -void ndraw(mp_int * a, char *name) -{ - char buf[16000]; - - printf("%s: ", name); - mp_toradix(a, buf, 10); - printf("%s\n", buf); -} - -static void draw(mp_int * a) -{ - ndraw(a, ""); -} - - -unsigned long lfsr = 0xAAAAAAAAUL; - -int lbit(void) -{ - if (lfsr & 0x80000000UL) { - lfsr = ((lfsr << 1) ^ 0x8000001BUL) & 0xFFFFFFFFUL; - return 1; - } else { - lfsr <<= 1; - return 0; - } -} - -int myrng(unsigned char *dst, int len, void *dat) -{ - int x; - - for (x = 0; x < len; x++) - dst[x] = rand() & 0xFF; - return len; -} - - - -char cmd[4096], buf[4096]; -int main(void) -{ - mp_int a, b, c, d, e, f; - unsigned long expt_n, add_n, sub_n, mul_n, div_n, sqr_n, mul2d_n, div2d_n, - gcd_n, lcm_n, inv_n, div2_n, mul2_n, add_d_n, sub_d_n, t; - unsigned rr; - int i, n, err, cnt, ix, old_kara_m, old_kara_s; - mp_digit mp; - - - mp_init(&a); - mp_init(&b); - mp_init(&c); - mp_init(&d); - mp_init(&e); - mp_init(&f); - - srand(time(NULL)); - -#if 0 - // test montgomery - printf("Testing montgomery...\n"); - for (i = 1; i < 10; i++) { - printf("Testing digit size: %d\n", i); - for (n = 0; n < 1000; n++) { - mp_rand(&a, i); - a.dp[0] |= 1; - - // let's see if R is right - mp_montgomery_calc_normalization(&b, &a); - mp_montgomery_setup(&a, &mp); - - // now test a random reduction - for (ix = 0; ix < 100; ix++) { - mp_rand(&c, 1 + abs(rand()) % (2*i)); - mp_copy(&c, &d); - mp_copy(&c, &e); - - mp_mod(&d, &a, &d); - mp_montgomery_reduce(&c, &a, mp); - mp_mulmod(&c, &b, &a, &c); - - if (mp_cmp(&c, &d) != MP_EQ) { -printf("d = e mod a, c = e MOD a\n"); -mp_todecimal(&a, buf); printf("a = %s\n", buf); -mp_todecimal(&e, buf); printf("e = %s\n", buf); -mp_todecimal(&d, buf); printf("d = %s\n", buf); -mp_todecimal(&c, buf); printf("c = %s\n", buf); -printf("compare no compare!\n"); exit(EXIT_FAILURE); } - } - } - } - printf("done\n"); - - // test mp_get_int - printf("Testing: mp_get_int\n"); - for (i = 0; i < 1000; ++i) { - t = ((unsigned long) rand() * rand() + 1) & 0xFFFFFFFF; - mp_set_int(&a, t); - if (t != mp_get_int(&a)) { - printf("mp_get_int() bad result!\n"); - return 1; - } - } - mp_set_int(&a, 0); - if (mp_get_int(&a) != 0) { - printf("mp_get_int() bad result!\n"); - return 1; - } - mp_set_int(&a, 0xffffffff); - if (mp_get_int(&a) != 0xffffffff) { - printf("mp_get_int() bad result!\n"); - return 1; - } - // test mp_sqrt - printf("Testing: mp_sqrt\n"); - for (i = 0; i < 1000; ++i) { - printf("%6d\r", i); - fflush(stdout); - n = (rand() & 15) + 1; - mp_rand(&a, n); - if (mp_sqrt(&a, &b) != MP_OKAY) { - printf("mp_sqrt() error!\n"); - return 1; - } - mp_n_root(&a, 2, &a); - if (mp_cmp_mag(&b, &a) != MP_EQ) { - printf("mp_sqrt() bad result!\n"); - return 1; - } - } - - printf("\nTesting: mp_is_square\n"); - for (i = 0; i < 1000; ++i) { - printf("%6d\r", i); - fflush(stdout); - - /* test mp_is_square false negatives */ - n = (rand() & 7) + 1; - mp_rand(&a, n); - mp_sqr(&a, &a); - if (mp_is_square(&a, &n) != MP_OKAY) { - printf("fn:mp_is_square() error!\n"); - return 1; - } - if (n == 0) { - printf("fn:mp_is_square() bad result!\n"); - return 1; - } - - /* test for false positives */ - mp_add_d(&a, 1, &a); - if (mp_is_square(&a, &n) != MP_OKAY) { - printf("fp:mp_is_square() error!\n"); - return 1; - } - if (n == 1) { - printf("fp:mp_is_square() bad result!\n"); - return 1; - } - - } - printf("\n\n"); - - /* test for size */ - for (ix = 10; ix < 128; ix++) { - printf("Testing (not safe-prime): %9d bits \r", ix); - fflush(stdout); - err = - mp_prime_random_ex(&a, 8, ix, - (rand() & 1) ? LTM_PRIME_2MSB_OFF : - LTM_PRIME_2MSB_ON, myrng, NULL); - if (err != MP_OKAY) { - printf("failed with err code %d\n", err); - return EXIT_FAILURE; - } - if (mp_count_bits(&a) != ix) { - printf("Prime is %d not %d bits!!!\n", mp_count_bits(&a), ix); - return EXIT_FAILURE; - } - } - - for (ix = 16; ix < 128; ix++) { - printf("Testing ( safe-prime): %9d bits \r", ix); - fflush(stdout); - err = - mp_prime_random_ex(&a, 8, ix, - ((rand() & 1) ? LTM_PRIME_2MSB_OFF : - LTM_PRIME_2MSB_ON) | LTM_PRIME_SAFE, myrng, - NULL); - if (err != MP_OKAY) { - printf("failed with err code %d\n", err); - return EXIT_FAILURE; - } - if (mp_count_bits(&a) != ix) { - printf("Prime is %d not %d bits!!!\n", mp_count_bits(&a), ix); - return EXIT_FAILURE; - } - /* let's see if it's really a safe prime */ - mp_sub_d(&a, 1, &a); - mp_div_2(&a, &a); - mp_prime_is_prime(&a, 8, &cnt); - if (cnt != MP_YES) { - printf("sub is not prime!\n"); - return EXIT_FAILURE; - } - } - - printf("\n\n"); - - mp_read_radix(&a, "123456", 10); - mp_toradix_n(&a, buf, 10, 3); - printf("a == %s\n", buf); - mp_toradix_n(&a, buf, 10, 4); - printf("a == %s\n", buf); - mp_toradix_n(&a, buf, 10, 30); - printf("a == %s\n", buf); - - -#if 0 - for (;;) { - fgets(buf, sizeof(buf), stdin); - mp_read_radix(&a, buf, 10); - mp_prime_next_prime(&a, 5, 1); - mp_toradix(&a, buf, 10); - printf("%s, %lu\n", buf, a.dp[0] & 3); - } -#endif - - /* test mp_cnt_lsb */ - printf("testing mp_cnt_lsb...\n"); - mp_set(&a, 1); - for (ix = 0; ix < 1024; ix++) { - if (mp_cnt_lsb(&a) != ix) { - printf("Failed at %d, %d\n", ix, mp_cnt_lsb(&a)); - return 0; - } - mp_mul_2(&a, &a); - } - -/* test mp_reduce_2k */ - printf("Testing mp_reduce_2k...\n"); - for (cnt = 3; cnt <= 128; ++cnt) { - mp_digit tmp; - - mp_2expt(&a, cnt); - mp_sub_d(&a, 2, &a); /* a = 2**cnt - 2 */ - - - printf("\nTesting %4d bits", cnt); - printf("(%d)", mp_reduce_is_2k(&a)); - mp_reduce_2k_setup(&a, &tmp); - printf("(%d)", tmp); - for (ix = 0; ix < 1000; ix++) { - if (!(ix & 127)) { - printf("."); - fflush(stdout); - } - mp_rand(&b, (cnt / DIGIT_BIT + 1) * 2); - mp_copy(&c, &b); - mp_mod(&c, &a, &c); - mp_reduce_2k(&b, &a, 2); - if (mp_cmp(&c, &b)) { - printf("FAILED\n"); - exit(0); - } - } - } - -/* test mp_div_3 */ - printf("Testing mp_div_3...\n"); - mp_set(&d, 3); - for (cnt = 0; cnt < 10000;) { - mp_digit r1, r2; - - if (!(++cnt & 127)) - printf("%9d\r", cnt); - mp_rand(&a, abs(rand()) % 128 + 1); - mp_div(&a, &d, &b, &e); - mp_div_3(&a, &c, &r2); - - if (mp_cmp(&b, &c) || mp_cmp_d(&e, r2)) { - printf("\n\nmp_div_3 => Failure\n"); - } - } - printf("\n\nPassed div_3 testing\n"); - -/* test the DR reduction */ - printf("testing mp_dr_reduce...\n"); - for (cnt = 2; cnt < 32; cnt++) { - printf("%d digit modulus\n", cnt); - mp_grow(&a, cnt); - mp_zero(&a); - for (ix = 1; ix < cnt; ix++) { - a.dp[ix] = MP_MASK; - } - a.used = cnt; - a.dp[0] = 3; - - mp_rand(&b, cnt - 1); - mp_copy(&b, &c); - - rr = 0; - do { - if (!(rr & 127)) { - printf("%9lu\r", rr); - fflush(stdout); - } - mp_sqr(&b, &b); - mp_add_d(&b, 1, &b); - mp_copy(&b, &c); - - mp_mod(&b, &a, &b); - mp_dr_reduce(&c, &a, (((mp_digit) 1) << DIGIT_BIT) - a.dp[0]); - - if (mp_cmp(&b, &c) != MP_EQ) { - printf("Failed on trial %lu\n", rr); - exit(-1); - - } - } while (++rr < 500); - printf("Passed DR test for %d digits\n", cnt); - } - -#endif - -/* test the mp_reduce_2k_l code */ -#if 0 -#if 0 -/* first load P with 2^1024 - 0x2A434 B9FDEC95 D8F9D550 FFFFFFFF FFFFFFFF */ - mp_2expt(&a, 1024); - mp_read_radix(&b, "2A434B9FDEC95D8F9D550FFFFFFFFFFFFFFFF", 16); - mp_sub(&a, &b, &a); -#elif 1 -/* p = 2^2048 - 0x1 00000000 00000000 00000000 00000000 4945DDBF 8EA2A91D 5776399B B83E188F */ - mp_2expt(&a, 2048); - mp_read_radix(&b, - "1000000000000000000000000000000004945DDBF8EA2A91D5776399BB83E188F", - 16); - mp_sub(&a, &b, &a); -#endif - - mp_todecimal(&a, buf); - printf("p==%s\n", buf); -/* now mp_reduce_is_2k_l() should return */ - if (mp_reduce_is_2k_l(&a) != 1) { - printf("mp_reduce_is_2k_l() return 0, should be 1\n"); - return EXIT_FAILURE; - } - mp_reduce_2k_setup_l(&a, &d); - /* now do a million square+1 to see if it varies */ - mp_rand(&b, 64); - mp_mod(&b, &a, &b); - mp_copy(&b, &c); - printf("testing mp_reduce_2k_l..."); - fflush(stdout); - for (cnt = 0; cnt < (1UL << 20); cnt++) { - mp_sqr(&b, &b); - mp_add_d(&b, 1, &b); - mp_reduce_2k_l(&b, &a, &d); - mp_sqr(&c, &c); - mp_add_d(&c, 1, &c); - mp_mod(&c, &a, &c); - if (mp_cmp(&b, &c) != MP_EQ) { - printf("mp_reduce_2k_l() failed at step %lu\n", cnt); - mp_tohex(&b, buf); - printf("b == %s\n", buf); - mp_tohex(&c, buf); - printf("c == %s\n", buf); - return EXIT_FAILURE; - } - } - printf("...Passed\n"); -#endif - - div2_n = mul2_n = inv_n = expt_n = lcm_n = gcd_n = add_n = - sub_n = mul_n = div_n = sqr_n = mul2d_n = div2d_n = cnt = add_d_n = - sub_d_n = 0; - - /* force KARA and TOOM to enable despite cutoffs */ - KARATSUBA_SQR_CUTOFF = KARATSUBA_MUL_CUTOFF = 8; - TOOM_SQR_CUTOFF = TOOM_MUL_CUTOFF = 16; - - for (;;) { - /* randomly clear and re-init one variable, this has the affect of triming the alloc space */ - switch (abs(rand()) % 7) { - case 0: - mp_clear(&a); - mp_init(&a); - break; - case 1: - mp_clear(&b); - mp_init(&b); - break; - case 2: - mp_clear(&c); - mp_init(&c); - break; - case 3: - mp_clear(&d); - mp_init(&d); - break; - case 4: - mp_clear(&e); - mp_init(&e); - break; - case 5: - mp_clear(&f); - mp_init(&f); - break; - case 6: - break; /* don't clear any */ - } - - - printf - ("%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu ", - add_n, sub_n, mul_n, div_n, sqr_n, mul2d_n, div2d_n, gcd_n, lcm_n, - expt_n, inv_n, div2_n, mul2_n, add_d_n, sub_d_n); - fgets(cmd, 4095, stdin); - cmd[strlen(cmd) - 1] = 0; - printf("%s ]\r", cmd); - fflush(stdout); - if (!strcmp(cmd, "mul2d")) { - ++mul2d_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - sscanf(buf, "%d", &rr); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - - mp_mul_2d(&a, rr, &a); - a.sign = b.sign; - if (mp_cmp(&a, &b) != MP_EQ) { - printf("mul2d failed, rr == %d\n", rr); - draw(&a); - draw(&b); - return 0; - } - } else if (!strcmp(cmd, "div2d")) { - ++div2d_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - sscanf(buf, "%d", &rr); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - - mp_div_2d(&a, rr, &a, &e); - a.sign = b.sign; - if (a.used == b.used && a.used == 0) { - a.sign = b.sign = MP_ZPOS; - } - if (mp_cmp(&a, &b) != MP_EQ) { - printf("div2d failed, rr == %d\n", rr); - draw(&a); - draw(&b); - return 0; - } - } else if (!strcmp(cmd, "add")) { - ++add_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&c, buf, 64); - mp_copy(&a, &d); - mp_add(&d, &b, &d); - if (mp_cmp(&c, &d) != MP_EQ) { - printf("add %lu failure!\n", add_n); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - return 0; - } - - /* test the sign/unsigned storage functions */ - - rr = mp_signed_bin_size(&c); - mp_to_signed_bin(&c, (unsigned char *) cmd); - memset(cmd + rr, rand() & 255, sizeof(cmd) - rr); - mp_read_signed_bin(&d, (unsigned char *) cmd, rr); - if (mp_cmp(&c, &d) != MP_EQ) { - printf("mp_signed_bin failure!\n"); - draw(&c); - draw(&d); - return 0; - } - - - rr = mp_unsigned_bin_size(&c); - mp_to_unsigned_bin(&c, (unsigned char *) cmd); - memset(cmd + rr, rand() & 255, sizeof(cmd) - rr); - mp_read_unsigned_bin(&d, (unsigned char *) cmd, rr); - if (mp_cmp_mag(&c, &d) != MP_EQ) { - printf("mp_unsigned_bin failure!\n"); - draw(&c); - draw(&d); - return 0; - } - - } else if (!strcmp(cmd, "sub")) { - ++sub_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&c, buf, 64); - mp_copy(&a, &d); - mp_sub(&d, &b, &d); - if (mp_cmp(&c, &d) != MP_EQ) { - printf("sub %lu failure!\n", sub_n); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - return 0; - } - } else if (!strcmp(cmd, "mul")) { - ++mul_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&c, buf, 64); - mp_copy(&a, &d); - mp_mul(&d, &b, &d); - if (mp_cmp(&c, &d) != MP_EQ) { - printf("mul %lu failure!\n", mul_n); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - return 0; - } - } else if (!strcmp(cmd, "div")) { - ++div_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&c, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&d, buf, 64); - - mp_div(&a, &b, &e, &f); - if (mp_cmp(&c, &e) != MP_EQ || mp_cmp(&d, &f) != MP_EQ) { - printf("div %lu %d, %d, failure!\n", div_n, mp_cmp(&c, &e), - mp_cmp(&d, &f)); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - draw(&e); - draw(&f); - return 0; - } - - } else if (!strcmp(cmd, "sqr")) { - ++sqr_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - mp_copy(&a, &c); - mp_sqr(&c, &c); - if (mp_cmp(&b, &c) != MP_EQ) { - printf("sqr %lu failure!\n", sqr_n); - draw(&a); - draw(&b); - draw(&c); - return 0; - } - } else if (!strcmp(cmd, "gcd")) { - ++gcd_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&c, buf, 64); - mp_copy(&a, &d); - mp_gcd(&d, &b, &d); - d.sign = c.sign; - if (mp_cmp(&c, &d) != MP_EQ) { - printf("gcd %lu failure!\n", gcd_n); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - return 0; - } - } else if (!strcmp(cmd, "lcm")) { - ++lcm_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&c, buf, 64); - mp_copy(&a, &d); - mp_lcm(&d, &b, &d); - d.sign = c.sign; - if (mp_cmp(&c, &d) != MP_EQ) { - printf("lcm %lu failure!\n", lcm_n); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - return 0; - } - } else if (!strcmp(cmd, "expt")) { - ++expt_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&c, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&d, buf, 64); - mp_copy(&a, &e); - mp_exptmod(&e, &b, &c, &e); - if (mp_cmp(&d, &e) != MP_EQ) { - printf("expt %lu failure!\n", expt_n); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - draw(&e); - return 0; - } - } else if (!strcmp(cmd, "invmod")) { - ++inv_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&c, buf, 64); - mp_invmod(&a, &b, &d); - mp_mulmod(&d, &a, &b, &e); - if (mp_cmp_d(&e, 1) != MP_EQ) { - printf("inv [wrong value from MPI?!] failure\n"); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - mp_gcd(&a, &b, &e); - draw(&e); - return 0; - } - - } else if (!strcmp(cmd, "div2")) { - ++div2_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - mp_div_2(&a, &c); - if (mp_cmp(&c, &b) != MP_EQ) { - printf("div_2 %lu failure\n", div2_n); - draw(&a); - draw(&b); - draw(&c); - return 0; - } - } else if (!strcmp(cmd, "mul2")) { - ++mul2_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - mp_mul_2(&a, &c); - if (mp_cmp(&c, &b) != MP_EQ) { - printf("mul_2 %lu failure\n", mul2_n); - draw(&a); - draw(&b); - draw(&c); - return 0; - } - } else if (!strcmp(cmd, "add_d")) { - ++add_d_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - sscanf(buf, "%d", &ix); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - mp_add_d(&a, ix, &c); - if (mp_cmp(&b, &c) != MP_EQ) { - printf("add_d %lu failure\n", add_d_n); - draw(&a); - draw(&b); - draw(&c); - printf("d == %d\n", ix); - return 0; - } - } else if (!strcmp(cmd, "sub_d")) { - ++sub_d_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - sscanf(buf, "%d", &ix); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - mp_sub_d(&a, ix, &c); - if (mp_cmp(&b, &c) != MP_EQ) { - printf("sub_d %lu failure\n", sub_d_n); - draw(&a); - draw(&b); - draw(&c); - printf("d == %d\n", ix); - return 0; - } - } - } - return 0; -} diff --git a/libtommath/demo/timing.c b/libtommath/demo/timing.c deleted file mode 100644 index bb3be52..0000000 --- a/libtommath/demo/timing.c +++ /dev/null @@ -1,315 +0,0 @@ -#include -#include - -ulong64 _tt; - -#ifdef IOWNANATHLON -#include -#define SLEEP sleep(4) -#else -#define SLEEP -#endif - - -void ndraw(mp_int * a, char *name) -{ - char buf[4096]; - - printf("%s: ", name); - mp_toradix(a, buf, 64); - printf("%s\n", buf); -} - -static void draw(mp_int * a) -{ - ndraw(a, ""); -} - - -unsigned long lfsr = 0xAAAAAAAAUL; - -int lbit(void) -{ - if (lfsr & 0x80000000UL) { - lfsr = ((lfsr << 1) ^ 0x8000001BUL) & 0xFFFFFFFFUL; - return 1; - } else { - lfsr <<= 1; - return 0; - } -} - -/* RDTSC from Scott Duplichan */ -static ulong64 TIMFUNC(void) -{ -#if defined __GNUC__ -#if defined(__i386__) || defined(__x86_64__) - unsigned long long a; - __asm__ __volatile__("rdtsc\nmovl %%eax,%0\nmovl %%edx,4+%0\n":: - "m"(a):"%eax", "%edx"); - return a; -#else /* gcc-IA64 version */ - unsigned long result; - __asm__ __volatile__("mov %0=ar.itc":"=r"(result)::"memory"); - - while (__builtin_expect((int) result == -1, 0)) - __asm__ __volatile__("mov %0=ar.itc":"=r"(result)::"memory"); - - return result; -#endif - - // Microsoft and Intel Windows compilers -#elif defined _M_IX86 - __asm rdtsc -#elif defined _M_AMD64 - return __rdtsc(); -#elif defined _M_IA64 -#if defined __INTEL_COMPILER -#include -#endif - return __getReg(3116); -#else -#error need rdtsc function for this build -#endif -} - -#define DO(x) x; x; -//#define DO4(x) DO2(x); DO2(x); -//#define DO8(x) DO4(x); DO4(x); -//#define DO(x) DO8(x); DO8(x); - -int main(void) -{ - ulong64 tt, gg, CLK_PER_SEC; - FILE *log, *logb, *logc, *logd; - mp_int a, b, c, d, e, f; - int n, cnt, ix, old_kara_m, old_kara_s; - unsigned rr; - - mp_init(&a); - mp_init(&b); - mp_init(&c); - mp_init(&d); - mp_init(&e); - mp_init(&f); - - srand(time(NULL)); - - - /* temp. turn off TOOM */ - TOOM_MUL_CUTOFF = TOOM_SQR_CUTOFF = 100000; - - CLK_PER_SEC = TIMFUNC(); - sleep(1); - CLK_PER_SEC = TIMFUNC() - CLK_PER_SEC; - - printf("CLK_PER_SEC == %llu\n", CLK_PER_SEC); - goto exptmod; - log = fopen("logs/add.log", "w"); - for (cnt = 8; cnt <= 128; cnt += 8) { - SLEEP; - mp_rand(&a, cnt); - mp_rand(&b, cnt); - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_add(&a, &b, &c)); - gg = (TIMFUNC() - gg) >> 1; - if (tt > gg) - tt = gg; - } while (++rr < 100000); - printf("Adding\t\t%4d-bit => %9llu/sec, %9llu cycles\n", - mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); - fflush(log); - } - fclose(log); - - log = fopen("logs/sub.log", "w"); - for (cnt = 8; cnt <= 128; cnt += 8) { - SLEEP; - mp_rand(&a, cnt); - mp_rand(&b, cnt); - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_sub(&a, &b, &c)); - gg = (TIMFUNC() - gg) >> 1; - if (tt > gg) - tt = gg; - } while (++rr < 100000); - - printf("Subtracting\t\t%4d-bit => %9llu/sec, %9llu cycles\n", - mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); - fflush(log); - } - fclose(log); - - /* do mult/square twice, first without karatsuba and second with */ - multtest: - old_kara_m = KARATSUBA_MUL_CUTOFF; - old_kara_s = KARATSUBA_SQR_CUTOFF; - for (ix = 0; ix < 2; ix++) { - printf("With%s Karatsuba\n", (ix == 0) ? "out" : ""); - - KARATSUBA_MUL_CUTOFF = (ix == 0) ? 9999 : old_kara_m; - KARATSUBA_SQR_CUTOFF = (ix == 0) ? 9999 : old_kara_s; - - log = fopen((ix == 0) ? "logs/mult.log" : "logs/mult_kara.log", "w"); - for (cnt = 4; cnt <= 10240 / DIGIT_BIT; cnt += 2) { - SLEEP; - mp_rand(&a, cnt); - mp_rand(&b, cnt); - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_mul(&a, &b, &c)); - gg = (TIMFUNC() - gg) >> 1; - if (tt > gg) - tt = gg; - } while (++rr < 100); - printf("Multiplying\t%4d-bit => %9llu/sec, %9llu cycles\n", - mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(log, "%d %9llu\n", mp_count_bits(&a), tt); - fflush(log); - } - fclose(log); - - log = fopen((ix == 0) ? "logs/sqr.log" : "logs/sqr_kara.log", "w"); - for (cnt = 4; cnt <= 10240 / DIGIT_BIT; cnt += 2) { - SLEEP; - mp_rand(&a, cnt); - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_sqr(&a, &b)); - gg = (TIMFUNC() - gg) >> 1; - if (tt > gg) - tt = gg; - } while (++rr < 100); - printf("Squaring\t%4d-bit => %9llu/sec, %9llu cycles\n", - mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(log, "%d %9llu\n", mp_count_bits(&a), tt); - fflush(log); - } - fclose(log); - - } - exptmod: - - { - char *primes[] = { - /* 2K large moduli */ - "179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586239334100047359817950870678242457666208137217", - "32317006071311007300714876688669951960444102669715484032130345427524655138867890893197201411522913463688717960921898019494119559150490921095088152386448283120630877367300996091750197750389652106796057638384067568276792218642619756161838094338476170470581645852036305042887575891541065808607552399123930385521914333389668342420684974786564569494856176035326322058077805659331026192708460314150258592864177116725943603718461857357598351152301645904403697613233287231227125684710820209725157101726931323469678542580656697935045997268352998638099733077152121140120031150424541696791951097529546801429027668869927491725169", - "1044388881413152506691752710716624382579964249047383780384233483283953907971557456848826811934997558340890106714439262837987573438185793607263236087851365277945956976543709998340361590134383718314428070011855946226376318839397712745672334684344586617496807908705803704071284048740118609114467977783598029006686938976881787785946905630190260940599579453432823469303026696443059025015972399867714215541693835559885291486318237914434496734087811872639496475100189041349008417061675093668333850551032972088269550769983616369411933015213796825837188091833656751221318492846368125550225998300412344784862595674492194617023806505913245610825731835380087608622102834270197698202313169017678006675195485079921636419370285375124784014907159135459982790513399611551794271106831134090584272884279791554849782954323534517065223269061394905987693002122963395687782878948440616007412945674919823050571642377154816321380631045902916136926708342856440730447899971901781465763473223850267253059899795996090799469201774624817718449867455659250178329070473119433165550807568221846571746373296884912819520317457002440926616910874148385078411929804522981857338977648103126085902995208257421855249796721729039744118165938433694823325696642096892124547425283", - /* 2K moduli mersenne primes */ - "6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057151", - "531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728127", - "10407932194664399081925240327364085538615262247266704805319112350403608059673360298012239441732324184842421613954281007791383566248323464908139906605677320762924129509389220345773183349661583550472959420547689811211693677147548478866962501384438260291732348885311160828538416585028255604666224831890918801847068222203140521026698435488732958028878050869736186900714720710555703168729087", - "1475979915214180235084898622737381736312066145333169775147771216478570297878078949377407337049389289382748507531496480477281264838760259191814463365330269540496961201113430156902396093989090226259326935025281409614983499388222831448598601834318536230923772641390209490231836446899608210795482963763094236630945410832793769905399982457186322944729636418890623372171723742105636440368218459649632948538696905872650486914434637457507280441823676813517852099348660847172579408422316678097670224011990280170474894487426924742108823536808485072502240519452587542875349976558572670229633962575212637477897785501552646522609988869914013540483809865681250419497686697771007", - "259117086013202627776246767922441530941818887553125427303974923161874019266586362086201209516800483406550695241733194177441689509238807017410377709597512042313066624082916353517952311186154862265604547691127595848775610568757931191017711408826252153849035830401185072116424747461823031471398340229288074545677907941037288235820705892351068433882986888616658650280927692080339605869308790500409503709875902119018371991620994002568935113136548829739112656797303241986517250116412703509705427773477972349821676443446668383119322540099648994051790241624056519054483690809616061625743042361721863339415852426431208737266591962061753535748892894599629195183082621860853400937932839420261866586142503251450773096274235376822938649407127700846077124211823080804139298087057504713825264571448379371125032081826126566649084251699453951887789613650248405739378594599444335231188280123660406262468609212150349937584782292237144339628858485938215738821232393687046160677362909315071", - "190797007524439073807468042969529173669356994749940177394741882673528979787005053706368049835514900244303495954950709725762186311224148828811920216904542206960744666169364221195289538436845390250168663932838805192055137154390912666527533007309292687539092257043362517857366624699975402375462954490293259233303137330643531556539739921926201438606439020075174723029056838272505051571967594608350063404495977660656269020823960825567012344189908927956646011998057988548630107637380993519826582389781888135705408653045219655801758081251164080554609057468028203308718724654081055323215860189611391296030471108443146745671967766308925858547271507311563765171008318248647110097614890313562856541784154881743146033909602737947385055355960331855614540900081456378659068370317267696980001187750995491090350108417050917991562167972281070161305972518044872048331306383715094854938415738549894606070722584737978176686422134354526989443028353644037187375385397838259511833166416134323695660367676897722287918773420968982326089026150031515424165462111337527431154890666327374921446276833564519776797633875503548665093914556482031482248883127023777039667707976559857333357013727342079099064400455741830654320379350833236245819348824064783585692924881021978332974949906122664421376034687815350484991", - - /* DR moduli */ - "14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203368612079", - "101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411688900243039", - "736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140821797602431", - "38564998830736521417281865696453025806593491967131023221754800625044118265468851210705360385717536794615180260494208076605798671660719333199513807806252394423283413430106003596332513246682903994829528690198205120921557533726473585751382193953592127439965050261476810842071573684505878854588706623484573925925903505747545471088867712185004135201289273405614415899438276535626346098904241020877974002916168099951885406379295536200413493190419727789712076165162175783", - "542189391331696172661670440619180536749994166415993334151601745392193484590296600979602378676624808129613777993466242203025054573692562689251250471628358318743978285860720148446448885701001277560572526947619392551574490839286458454994488665744991822837769918095117129546414124448777033941223565831420390846864429504774477949153794689948747680362212954278693335653935890352619041936727463717926744868338358149568368643403037768649616778526013610493696186055899318268339432671541328195724261329606699831016666359440874843103020666106568222401047720269951530296879490444224546654729111504346660859907296364097126834834235287147", - "1487259134814709264092032648525971038895865645148901180585340454985524155135260217788758027400478312256339496385275012465661575576202252063145698732079880294664220579764848767704076761853197216563262660046602703973050798218246170835962005598561669706844469447435461092542265792444947706769615695252256130901271870341005768912974433684521436211263358097522726462083917939091760026658925757076733484173202927141441492573799914240222628795405623953109131594523623353044898339481494120112723445689647986475279242446083151413667587008191682564376412347964146113898565886683139407005941383669325997475076910488086663256335689181157957571445067490187939553165903773554290260531009121879044170766615232300936675369451260747671432073394867530820527479172464106442450727640226503746586340279816318821395210726268291535648506190714616083163403189943334431056876038286530365757187367147446004855912033137386225053275419626102417236133948503", - "1095121115716677802856811290392395128588168592409109494900178008967955253005183831872715423151551999734857184538199864469605657805519106717529655044054833197687459782636297255219742994736751541815269727940751860670268774903340296040006114013971309257028332849679096824800250742691718610670812374272414086863715763724622797509437062518082383056050144624962776302147890521249477060215148275163688301275847155316042279405557632639366066847442861422164832655874655824221577849928863023018366835675399949740429332468186340518172487073360822220449055340582568461568645259954873303616953776393853174845132081121976327462740354930744487429617202585015510744298530101547706821590188733515880733527449780963163909830077616357506845523215289297624086914545378511082534229620116563260168494523906566709418166011112754529766183554579321224940951177394088465596712620076240067370589036924024728375076210477267488679008016579588696191194060127319035195370137160936882402244399699172017835144537488486396906144217720028992863941288217185353914991583400421682751000603596655790990815525126154394344641336397793791497068253936771017031980867706707490224041075826337383538651825493679503771934836094655802776331664261631740148281763487765852746577808019633679", - - /* generic unrestricted moduli */ - "17933601194860113372237070562165128350027320072176844226673287945873370751245439587792371960615073855669274087805055507977323024886880985062002853331424203", - "2893527720709661239493896562339544088620375736490408468011883030469939904368086092336458298221245707898933583190713188177399401852627749210994595974791782790253946539043962213027074922559572312141181787434278708783207966459019479487", - "347743159439876626079252796797422223177535447388206607607181663903045907591201940478223621722118173270898487582987137708656414344685816179420855160986340457973820182883508387588163122354089264395604796675278966117567294812714812796820596564876450716066283126720010859041484786529056457896367683122960411136319", - "47266428956356393164697365098120418976400602706072312735924071745438532218237979333351774907308168340693326687317443721193266215155735814510792148768576498491199122744351399489453533553203833318691678263241941706256996197460424029012419012634671862283532342656309677173602509498417976091509154360039893165037637034737020327399910409885798185771003505320583967737293415979917317338985837385734747478364242020380416892056650841470869294527543597349250299539682430605173321029026555546832473048600327036845781970289288898317888427517364945316709081173840186150794397479045034008257793436817683392375274635794835245695887", - "436463808505957768574894870394349739623346440601945961161254440072143298152040105676491048248110146278752857839930515766167441407021501229924721335644557342265864606569000117714935185566842453630868849121480179691838399545644365571106757731317371758557990781880691336695584799313313687287468894148823761785582982549586183756806449017542622267874275103877481475534991201849912222670102069951687572917937634467778042874315463238062009202992087620963771759666448266532858079402669920025224220613419441069718482837399612644978839925207109870840278194042158748845445131729137117098529028886770063736487420613144045836803985635654192482395882603511950547826439092832800532152534003936926017612446606135655146445620623395788978726744728503058670046885876251527122350275750995227", - "11424167473351836398078306042624362277956429440521137061889702611766348760692206243140413411077394583180726863277012016602279290144126785129569474909173584789822341986742719230331946072730319555984484911716797058875905400999504305877245849119687509023232790273637466821052576859232452982061831009770786031785669030271542286603956118755585683996118896215213488875253101894663403069677745948305893849505434201763745232895780711972432011344857521691017896316861403206449421332243658855453435784006517202894181640562433575390821384210960117518650374602256601091379644034244332285065935413233557998331562749140202965844219336298970011513882564935538704289446968322281451907487362046511461221329799897350993370560697505809686438782036235372137015731304779072430260986460269894522159103008260495503005267165927542949439526272736586626709581721032189532726389643625590680105784844246152702670169304203783072275089194754889511973916207", - "1214855636816562637502584060163403830270705000634713483015101384881871978446801224798536155406895823305035467591632531067547890948695117172076954220727075688048751022421198712032848890056357845974246560748347918630050853933697792254955890439720297560693579400297062396904306270145886830719309296352765295712183040773146419022875165382778007040109957609739589875590885701126197906063620133954893216612678838507540777138437797705602453719559017633986486649523611975865005712371194067612263330335590526176087004421363598470302731349138773205901447704682181517904064735636518462452242791676541725292378925568296858010151852326316777511935037531017413910506921922450666933202278489024521263798482237150056835746454842662048692127173834433089016107854491097456725016327709663199738238442164843147132789153725513257167915555162094970853584447993125488607696008169807374736711297007473812256272245489405898470297178738029484459690836250560495461579533254473316340608217876781986188705928270735695752830825527963838355419762516246028680280988020401914551825487349990306976304093109384451438813251211051597392127491464898797406789175453067960072008590614886532333015881171367104445044718144312416815712216611576221546455968770801413440778423979", - NULL - }; - log = fopen("logs/expt.log", "w"); - logb = fopen("logs/expt_dr.log", "w"); - logc = fopen("logs/expt_2k.log", "w"); - logd = fopen("logs/expt_2kl.log", "w"); - for (n = 0; primes[n]; n++) { - SLEEP; - mp_read_radix(&a, primes[n], 10); - mp_zero(&b); - for (rr = 0; rr < (unsigned) mp_count_bits(&a); rr++) { - mp_mul_2(&b, &b); - b.dp[0] |= lbit(); - b.used += 1; - } - mp_sub_d(&a, 1, &c); - mp_mod(&b, &c, &b); - mp_set(&c, 3); - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_exptmod(&c, &b, &a, &d)); - gg = (TIMFUNC() - gg) >> 1; - if (tt > gg) - tt = gg; - } while (++rr < 10); - mp_sub_d(&a, 1, &e); - mp_sub(&e, &b, &b); - mp_exptmod(&c, &b, &a, &e); /* c^(p-1-b) mod a */ - mp_mulmod(&e, &d, &a, &d); /* c^b * c^(p-1-b) == c^p-1 == 1 */ - if (mp_cmp_d(&d, 1)) { - printf("Different (%d)!!!\n", mp_count_bits(&a)); - draw(&d); - exit(0); - } - printf("Exponentiating\t%4d-bit => %9llu/sec, %9llu cycles\n", - mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(n < 4 ? logd : (n < 9) ? logc : (n < 16) ? logb : log, - "%d %9llu\n", mp_count_bits(&a), tt); - } - } - fclose(log); - fclose(logb); - fclose(logc); - fclose(logd); - - log = fopen("logs/invmod.log", "w"); - for (cnt = 4; cnt <= 128; cnt += 4) { - SLEEP; - mp_rand(&a, cnt); - mp_rand(&b, cnt); - - do { - mp_add_d(&b, 1, &b); - mp_gcd(&a, &b, &c); - } while (mp_cmp_d(&c, 1) != MP_EQ); - - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_invmod(&b, &a, &c)); - gg = (TIMFUNC() - gg) >> 1; - if (tt > gg) - tt = gg; - } while (++rr < 1000); - mp_mulmod(&b, &c, &a, &d); - if (mp_cmp_d(&d, 1) != MP_EQ) { - printf("Failed to invert\n"); - return 0; - } - printf("Inverting mod\t%4d-bit => %9llu/sec, %9llu cycles\n", - mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); - } - fclose(log); - - return 0; -} diff --git a/libtommath/dep.pl b/libtommath/dep.pl index c39e27e..0a5d19a 100644 --- a/libtommath/dep.pl +++ b/libtommath/dep.pl @@ -68,7 +68,7 @@ foreach my $filename (glob "bn*.c") { $line = $'; # now $& is the match, we want to skip over LTM keywords like # mp_int, mp_word, mp_digit - if (!($& eq "mp_digit") && !($& eq "mp_word") && !($& eq "mp_int")) { + if (!($& eq "mp_digit") && !($& eq "mp_word") && !($& eq "mp_int") && !($& eq "mp_min_u32")) { my $a = $&; $a =~ tr/[a-z]/[A-Z]/; $a = "BN_" . $a . "_C"; diff --git a/libtommath/etc/2kprime.1 b/libtommath/etc/2kprime.1 deleted file mode 100644 index c41ded1..0000000 --- a/libtommath/etc/2kprime.1 +++ /dev/null @@ -1,2 +0,0 @@ -256-bits (k = 36113) = 115792089237316195423570985008687907853269984665640564039457584007913129603823 -512-bits (k = 38117) = 13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006045979 diff --git a/libtommath/etc/2kprime.c b/libtommath/etc/2kprime.c deleted file mode 100644 index 67a2777..0000000 --- a/libtommath/etc/2kprime.c +++ /dev/null @@ -1,75 +0,0 @@ -/* Makes safe primes of a 2k nature */ -#include -#include - -int sizes[] = {256, 512, 768, 1024, 1536, 2048, 3072, 4096}; - -int main(void) -{ - char buf[2000]; - int x, y; - mp_int q, p; - FILE *out; - clock_t t1; - mp_digit z; - - mp_init_multi(&q, &p, NULL); - - out = fopen("2kprime.1", "w"); - for (x = 0; x < (int)(sizeof(sizes) / sizeof(sizes[0])); x++) { - top: - mp_2expt(&q, sizes[x]); - mp_add_d(&q, 3, &q); - z = -3; - - t1 = clock(); - for(;;) { - mp_sub_d(&q, 4, &q); - z += 4; - - if (z > MP_MASK) { - printf("No primes of size %d found\n", sizes[x]); - break; - } - - if (clock() - t1 > CLOCKS_PER_SEC) { - printf("."); fflush(stdout); -// sleep((clock() - t1 + CLOCKS_PER_SEC/2)/CLOCKS_PER_SEC); - t1 = clock(); - } - - /* quick test on q */ - mp_prime_is_prime(&q, 1, &y); - if (y == 0) { - continue; - } - - /* find (q-1)/2 */ - mp_sub_d(&q, 1, &p); - mp_div_2(&p, &p); - mp_prime_is_prime(&p, 3, &y); - if (y == 0) { - continue; - } - - /* test on q */ - mp_prime_is_prime(&q, 3, &y); - if (y == 0) { - continue; - } - - break; - } - - if (y == 0) { - ++sizes[x]; - goto top; - } - - mp_toradix(&q, buf, 10); - printf("\n\n%d-bits (k = %lu) = %s\n", sizes[x], z, buf); - fprintf(out, "%d-bits (k = %lu) = %s\n", sizes[x], z, buf); fflush(out); - } - - return 0; -} diff --git a/libtommath/etc/drprime.c b/libtommath/etc/drprime.c deleted file mode 100644 index 0d0fdb9..0000000 --- a/libtommath/etc/drprime.c +++ /dev/null @@ -1,59 +0,0 @@ -/* Makes safe primes of a DR nature */ -#include - -int sizes[] = { 1+256/DIGIT_BIT, 1+512/DIGIT_BIT, 1+768/DIGIT_BIT, 1+1024/DIGIT_BIT, 1+2048/DIGIT_BIT, 1+4096/DIGIT_BIT }; -int main(void) -{ - int res, x, y; - char buf[4096]; - FILE *out; - mp_int a, b; - - mp_init(&a); - mp_init(&b); - - out = fopen("drprimes.txt", "w"); - for (x = 0; x < (int)(sizeof(sizes)/sizeof(sizes[0])); x++) { - top: - printf("Seeking a %d-bit safe prime\n", sizes[x] * DIGIT_BIT); - mp_grow(&a, sizes[x]); - mp_zero(&a); - for (y = 1; y < sizes[x]; y++) { - a.dp[y] = MP_MASK; - } - - /* make a DR modulus */ - a.dp[0] = -1; - a.used = sizes[x]; - - /* now loop */ - res = 0; - for (;;) { - a.dp[0] += 4; - if (a.dp[0] >= MP_MASK) break; - mp_prime_is_prime(&a, 1, &res); - if (res == 0) continue; - printf("."); fflush(stdout); - mp_sub_d(&a, 1, &b); - mp_div_2(&b, &b); - mp_prime_is_prime(&b, 3, &res); - if (res == 0) continue; - mp_prime_is_prime(&a, 3, &res); - if (res == 1) break; - } - - if (res != 1) { - printf("Error not DR modulus\n"); sizes[x] += 1; goto top; - } else { - mp_toradix(&a, buf, 10); - printf("\n\np == %s\n\n", buf); - fprintf(out, "%d-bit prime:\np == %s\n\n", mp_count_bits(&a), buf); fflush(out); - } - } - fclose(out); - - mp_clear(&a); - mp_clear(&b); - - return 0; -} diff --git a/libtommath/etc/drprimes.28 b/libtommath/etc/drprimes.28 deleted file mode 100644 index 9d438ad..0000000 --- a/libtommath/etc/drprimes.28 +++ /dev/null @@ -1,25 +0,0 @@ -DR safe primes for 28-bit digits. - -224-bit prime: -p == 26959946667150639794667015087019630673637144422540572481103341844143 - -532-bit prime: -p == 14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203368691747 - -784-bit prime: -p == 101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411688900243039 - -1036-bit prime: -p == 736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140821798437127 - -1540-bit prime: -p == 38564998830736521417281865696453025806593491967131023221754800625044118265468851210705360385717536794615180260494208076605798671660719333199513807806252394423283413430106003596332513246682903994829528690198205120921557533726473585751382193953592127439965050261476810842071573684505878854588706623484573925925903505747545471088867712185004135201289273405614415899438276535626346098904241020877974002916168099951885406379295536200413493190419727789712076165162175783 - -2072-bit prime: -p == 542189391331696172661670440619180536749994166415993334151601745392193484590296600979602378676624808129613777993466242203025054573692562689251250471628358318743978285860720148446448885701001277560572526947619392551574490839286458454994488665744991822837769918095117129546414124448777033941223565831420390846864429504774477949153794689948747680362212954278693335653935890352619041936727463717926744868338358149568368643403037768649616778526013610493696186055899318268339432671541328195724261329606699831016666359440874843103020666106568222401047720269951530296879490444224546654729111504346660859907296364097126834834235287147 - -3080-bit prime: -p == 1487259134814709264092032648525971038895865645148901180585340454985524155135260217788758027400478312256339496385275012465661575576202252063145698732079880294664220579764848767704076761853197216563262660046602703973050798218246170835962005598561669706844469447435461092542265792444947706769615695252256130901271870341005768912974433684521436211263358097522726462083917939091760026658925757076733484173202927141441492573799914240222628795405623953109131594523623353044898339481494120112723445689647986475279242446083151413667587008191682564376412347964146113898565886683139407005941383669325997475076910488086663256335689181157957571445067490187939553165903773554290260531009121879044170766615232300936675369451260747671432073394867530820527479172464106442450727640226503746586340279816318821395210726268291535648506190714616083163403189943334431056876038286530365757187367147446004855912033137386225053275419626102417236133948503 - -4116-bit prime: -p == 1095121115716677802856811290392395128588168592409109494900178008967955253005183831872715423151551999734857184538199864469605657805519106717529655044054833197687459782636297255219742994736751541815269727940751860670268774903340296040006114013971309257028332849679096824800250742691718610670812374272414086863715763724622797509437062518082383056050144624962776302147890521249477060215148275163688301275847155316042279405557632639366066847442861422164832655874655824221577849928863023018366835675399949740429332468186340518172487073360822220449055340582568461568645259954873303616953776393853174845132081121976327462740354930744487429617202585015510744298530101547706821590188733515880733527449780963163909830077616357506845523215289297624086914545378511082534229620116563260168494523906566709418166011112754529766183554579321224940951177394088465596712620076240067370589036924024728375076210477267488679008016579588696191194060127319035195370137160936882402244399699172017835144537488486396906144217720028992863941288217185353914991583400421682751000603596655790990815525126154394344641336397793791497068253936771017031980867706707490224041075826337383538651825493679503771934836094655802776331664261631740148281763487765852746577808019633679 diff --git a/libtommath/etc/drprimes.txt b/libtommath/etc/drprimes.txt deleted file mode 100644 index 7c97f67..0000000 --- a/libtommath/etc/drprimes.txt +++ /dev/null @@ -1,9 +0,0 @@ -300-bit prime: -p == 2037035976334486086268445688409378161051468393665936250636140449354381298610415201576637819 - -540-bit prime: -p == 3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206810991770626477344739 - -780-bit prime: -p == 6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003655947791725966271167 - diff --git a/libtommath/etc/makefile b/libtommath/etc/makefile deleted file mode 100644 index 99154d8..0000000 --- a/libtommath/etc/makefile +++ /dev/null @@ -1,50 +0,0 @@ -CFLAGS += -Wall -W -Wshadow -O3 -fomit-frame-pointer -funroll-loops -I../ - -# default lib name (requires install with root) -# LIBNAME=-ltommath - -# libname when you can't install the lib with install -LIBNAME=../libtommath.a - -#provable primes -pprime: pprime.o - $(CC) pprime.o $(LIBNAME) -o pprime - -# portable [well requires clock()] tuning app -tune: tune.o - $(CC) tune.o $(LIBNAME) -o tune - -# same app but using RDTSC for higher precision [requires 80586+], coff based gcc installs [e.g. ming, cygwin, djgpp] -tune86: tune.c - nasm -f coff timer.asm - $(CC) -DX86_TIMER $(CFLAGS) tune.c timer.o $(LIBNAME) -o tune86 - -# for cygwin -tune86c: tune.c - nasm -f gnuwin32 timer.asm - $(CC) -DX86_TIMER $(CFLAGS) tune.c timer.o $(LIBNAME) -o tune86 - -#make tune86 for linux or any ELF format -tune86l: tune.c - nasm -f elf -DUSE_ELF timer.asm - $(CC) -DX86_TIMER $(CFLAGS) tune.c timer.o $(LIBNAME) -o tune86l - -# spits out mersenne primes -mersenne: mersenne.o - $(CC) mersenne.o $(LIBNAME) -o mersenne - -# fines DR safe primes for the given config -drprime: drprime.o - $(CC) drprime.o $(LIBNAME) -o drprime - -# fines 2k safe primes for the given config -2kprime: 2kprime.o - $(CC) 2kprime.o $(LIBNAME) -o 2kprime - -mont: mont.o - $(CC) mont.o $(LIBNAME) -o mont - - -clean: - rm -f *.log *.o *.obj *.exe pprime tune mersenne drprime tune86 tune86l mont 2kprime pprime.dat \ - *.da *.dyn *.dpi *~ diff --git a/libtommath/etc/makefile.icc b/libtommath/etc/makefile.icc deleted file mode 100644 index 8a1ffff..0000000 --- a/libtommath/etc/makefile.icc +++ /dev/null @@ -1,67 +0,0 @@ -CC = icc - -CFLAGS += -I../ - -# optimize for SPEED -# -# -mcpu= can be pentium, pentiumpro (covers PII through PIII) or pentium4 -# -ax? specifies make code specifically for ? but compatible with IA-32 -# -x? specifies compile solely for ? [not specifically IA-32 compatible] -# -# where ? is -# K - PIII -# W - first P4 [Williamette] -# N - P4 Northwood -# P - P4 Prescott -# B - Blend of P4 and PM [mobile] -# -# Default to just generic max opts -CFLAGS += -O3 -xP -ip - -# default lib name (requires install with root) -# LIBNAME=-ltommath - -# libname when you can't install the lib with install -LIBNAME=../libtommath.a - -#provable primes -pprime: pprime.o - $(CC) pprime.o $(LIBNAME) -o pprime - -# portable [well requires clock()] tuning app -tune: tune.o - $(CC) tune.o $(LIBNAME) -o tune - -# same app but using RDTSC for higher precision [requires 80586+], coff based gcc installs [e.g. ming, cygwin, djgpp] -tune86: tune.c - nasm -f coff timer.asm - $(CC) -DX86_TIMER $(CFLAGS) tune.c timer.o $(LIBNAME) -o tune86 - -# for cygwin -tune86c: tune.c - nasm -f gnuwin32 timer.asm - $(CC) -DX86_TIMER $(CFLAGS) tune.c timer.o $(LIBNAME) -o tune86 - -#make tune86 for linux or any ELF format -tune86l: tune.c - nasm -f elf -DUSE_ELF timer.asm - $(CC) -DX86_TIMER $(CFLAGS) tune.c timer.o $(LIBNAME) -o tune86l - -# spits out mersenne primes -mersenne: mersenne.o - $(CC) mersenne.o $(LIBNAME) -o mersenne - -# fines DR safe primes for the given config -drprime: drprime.o - $(CC) drprime.o $(LIBNAME) -o drprime - -# fines 2k safe primes for the given config -2kprime: 2kprime.o - $(CC) 2kprime.o $(LIBNAME) -o 2kprime - -mont: mont.o - $(CC) mont.o $(LIBNAME) -o mont - - -clean: - rm -f *.log *.o *.obj *.exe pprime tune mersenne drprime tune86 tune86l mont 2kprime pprime.dat *.il diff --git a/libtommath/etc/makefile.msvc b/libtommath/etc/makefile.msvc deleted file mode 100644 index 2833372..0000000 --- a/libtommath/etc/makefile.msvc +++ /dev/null @@ -1,23 +0,0 @@ -#MSVC Makefile -# -#Tom St Denis - -CFLAGS = /I../ /Ox /DWIN32 /W3 - -pprime: pprime.obj - cl pprime.obj ../tommath.lib - -mersenne: mersenne.obj - cl mersenne.obj ../tommath.lib - -tune: tune.obj - cl tune.obj ../tommath.lib - -mont: mont.obj - cl mont.obj ../tommath.lib - -drprime: drprime.obj - cl drprime.obj ../tommath.lib - -2kprime: 2kprime.obj - cl 2kprime.obj ../tommath.lib diff --git a/libtommath/etc/mersenne.c b/libtommath/etc/mersenne.c deleted file mode 100644 index 28ac834..0000000 --- a/libtommath/etc/mersenne.c +++ /dev/null @@ -1,140 +0,0 @@ -/* Finds Mersenne primes using the Lucas-Lehmer test - * - * Tom St Denis, tomstdenis@gmail.com - */ -#include -#include - -int -is_mersenne (long s, int *pp) -{ - mp_int n, u; - int res, k; - - *pp = 0; - - if ((res = mp_init (&n)) != MP_OKAY) { - return res; - } - - if ((res = mp_init (&u)) != MP_OKAY) { - goto LBL_N; - } - - /* n = 2^s - 1 */ - if ((res = mp_2expt(&n, s)) != MP_OKAY) { - goto LBL_MU; - } - if ((res = mp_sub_d (&n, 1, &n)) != MP_OKAY) { - goto LBL_MU; - } - - /* set u=4 */ - mp_set (&u, 4); - - /* for k=1 to s-2 do */ - for (k = 1; k <= s - 2; k++) { - /* u = u^2 - 2 mod n */ - if ((res = mp_sqr (&u, &u)) != MP_OKAY) { - goto LBL_MU; - } - if ((res = mp_sub_d (&u, 2, &u)) != MP_OKAY) { - goto LBL_MU; - } - - /* make sure u is positive */ - while (u.sign == MP_NEG) { - if ((res = mp_add (&u, &n, &u)) != MP_OKAY) { - goto LBL_MU; - } - } - - /* reduce */ - if ((res = mp_reduce_2k (&u, &n, 1)) != MP_OKAY) { - goto LBL_MU; - } - } - - /* if u == 0 then its prime */ - if (mp_iszero (&u) == 1) { - mp_prime_is_prime(&n, 8, pp); - if (*pp != 1) printf("FAILURE\n"); - } - - res = MP_OKAY; -LBL_MU:mp_clear (&u); -LBL_N:mp_clear (&n); - return res; -} - -/* square root of a long < 65536 */ -long -i_sqrt (long x) -{ - long x1, x2; - - x2 = 16; - do { - x1 = x2; - x2 = x1 - ((x1 * x1) - x) / (2 * x1); - } while (x1 != x2); - - if (x1 * x1 > x) { - --x1; - } - - return x1; -} - -/* is the long prime by brute force */ -int -isprime (long k) -{ - long y, z; - - y = i_sqrt (k); - for (z = 2; z <= y; z++) { - if ((k % z) == 0) - return 0; - } - return 1; -} - - -int -main (void) -{ - int pp; - long k; - clock_t tt; - - k = 3; - - for (;;) { - /* start time */ - tt = clock (); - - /* test if 2^k - 1 is prime */ - if (is_mersenne (k, &pp) != MP_OKAY) { - printf ("Whoa error\n"); - return -1; - } - - if (pp == 1) { - /* count time */ - tt = clock () - tt; - - /* display if prime */ - printf ("2^%-5ld - 1 is prime, test took %ld ticks\n", k, tt); - } - - /* goto next odd exponent */ - k += 2; - - /* but make sure its prime */ - while (isprime (k) == 0) { - k += 2; - } - } - return 0; -} diff --git a/libtommath/etc/mont.c b/libtommath/etc/mont.c deleted file mode 100644 index 7839675..0000000 --- a/libtommath/etc/mont.c +++ /dev/null @@ -1,41 +0,0 @@ -/* tests the montgomery routines */ -#include - -int main(void) -{ - mp_int modulus, R, p, pp; - mp_digit mp; - long x, y; - - srand(time(NULL)); - mp_init_multi(&modulus, &R, &p, &pp, NULL); - - /* loop through various sizes */ - for (x = 4; x < 256; x++) { - printf("DIGITS == %3ld...", x); fflush(stdout); - - /* make up the odd modulus */ - mp_rand(&modulus, x); - modulus.dp[0] |= 1; - - /* now find the R value */ - mp_montgomery_calc_normalization(&R, &modulus); - mp_montgomery_setup(&modulus, &mp); - - /* now run through a bunch tests */ - for (y = 0; y < 1000; y++) { - mp_rand(&p, x/2); /* p = random */ - mp_mul(&p, &R, &pp); /* pp = R * p */ - mp_montgomery_reduce(&pp, &modulus, mp); - - /* should be equal to p */ - if (mp_cmp(&pp, &p) != MP_EQ) { - printf("FAILURE!\n"); - exit(-1); - } - } - printf("PASSED\n"); - } - - return 0; -} diff --git a/libtommath/etc/pprime.c b/libtommath/etc/pprime.c deleted file mode 100644 index 955f19e..0000000 --- a/libtommath/etc/pprime.c +++ /dev/null @@ -1,396 +0,0 @@ -/* Generates provable primes - * - * See http://gmail.com:8080/papers/pp.pdf for more info. - * - * Tom St Denis, tomstdenis@gmail.com, http://tom.gmail.com - */ -#include -#include "tommath.h" - -int n_prime; -FILE *primes; - -/* fast square root */ -static mp_digit -i_sqrt (mp_word x) -{ - mp_word x1, x2; - - x2 = x; - do { - x1 = x2; - x2 = x1 - ((x1 * x1) - x) / (2 * x1); - } while (x1 != x2); - - if (x1 * x1 > x) { - --x1; - } - - return x1; -} - - -/* generates a prime digit */ -static void gen_prime (void) -{ - mp_digit r, x, y, next; - FILE *out; - - out = fopen("pprime.dat", "wb"); - - /* write first set of primes */ - r = 3; fwrite(&r, 1, sizeof(mp_digit), out); - r = 5; fwrite(&r, 1, sizeof(mp_digit), out); - r = 7; fwrite(&r, 1, sizeof(mp_digit), out); - r = 11; fwrite(&r, 1, sizeof(mp_digit), out); - r = 13; fwrite(&r, 1, sizeof(mp_digit), out); - r = 17; fwrite(&r, 1, sizeof(mp_digit), out); - r = 19; fwrite(&r, 1, sizeof(mp_digit), out); - r = 23; fwrite(&r, 1, sizeof(mp_digit), out); - r = 29; fwrite(&r, 1, sizeof(mp_digit), out); - r = 31; fwrite(&r, 1, sizeof(mp_digit), out); - - /* get square root, since if 'r' is composite its factors must be < than this */ - y = i_sqrt (r); - next = (y + 1) * (y + 1); - - for (;;) { - do { - r += 2; /* next candidate */ - r &= MP_MASK; - if (r < 31) break; - - /* update sqrt ? */ - if (next <= r) { - ++y; - next = (y + 1) * (y + 1); - } - - /* loop if divisible by 3,5,7,11,13,17,19,23,29 */ - if ((r % 3) == 0) { - x = 0; - continue; - } - if ((r % 5) == 0) { - x = 0; - continue; - } - if ((r % 7) == 0) { - x = 0; - continue; - } - if ((r % 11) == 0) { - x = 0; - continue; - } - if ((r % 13) == 0) { - x = 0; - continue; - } - if ((r % 17) == 0) { - x = 0; - continue; - } - if ((r % 19) == 0) { - x = 0; - continue; - } - if ((r % 23) == 0) { - x = 0; - continue; - } - if ((r % 29) == 0) { - x = 0; - continue; - } - - /* now check if r is divisible by x + k={1,7,11,13,17,19,23,29} */ - for (x = 30; x <= y; x += 30) { - if ((r % (x + 1)) == 0) { - x = 0; - break; - } - if ((r % (x + 7)) == 0) { - x = 0; - break; - } - if ((r % (x + 11)) == 0) { - x = 0; - break; - } - if ((r % (x + 13)) == 0) { - x = 0; - break; - } - if ((r % (x + 17)) == 0) { - x = 0; - break; - } - if ((r % (x + 19)) == 0) { - x = 0; - break; - } - if ((r % (x + 23)) == 0) { - x = 0; - break; - } - if ((r % (x + 29)) == 0) { - x = 0; - break; - } - } - } while (x == 0); - if (r > 31) { fwrite(&r, 1, sizeof(mp_digit), out); printf("%9d\r", r); fflush(stdout); } - if (r < 31) break; - } - - fclose(out); -} - -void load_tab(void) -{ - primes = fopen("pprime.dat", "rb"); - if (primes == NULL) { - gen_prime(); - primes = fopen("pprime.dat", "rb"); - } - fseek(primes, 0, SEEK_END); - n_prime = ftell(primes) / sizeof(mp_digit); -} - -mp_digit prime_digit(void) -{ - int n; - mp_digit d; - - n = abs(rand()) % n_prime; - fseek(primes, n * sizeof(mp_digit), SEEK_SET); - fread(&d, 1, sizeof(mp_digit), primes); - return d; -} - - -/* makes a prime of at least k bits */ -int -pprime (int k, int li, mp_int * p, mp_int * q) -{ - mp_int a, b, c, n, x, y, z, v; - int res, ii; - static const mp_digit bases[] = { 2, 3, 5, 7, 11, 13, 17, 19 }; - - /* single digit ? */ - if (k <= (int) DIGIT_BIT) { - mp_set (p, prime_digit ()); - return MP_OKAY; - } - - if ((res = mp_init (&c)) != MP_OKAY) { - return res; - } - - if ((res = mp_init (&v)) != MP_OKAY) { - goto LBL_C; - } - - /* product of first 50 primes */ - if ((res = - mp_read_radix (&v, - "19078266889580195013601891820992757757219839668357012055907516904309700014933909014729740190", - 10)) != MP_OKAY) { - goto LBL_V; - } - - if ((res = mp_init (&a)) != MP_OKAY) { - goto LBL_V; - } - - /* set the prime */ - mp_set (&a, prime_digit ()); - - if ((res = mp_init (&b)) != MP_OKAY) { - goto LBL_A; - } - - if ((res = mp_init (&n)) != MP_OKAY) { - goto LBL_B; - } - - if ((res = mp_init (&x)) != MP_OKAY) { - goto LBL_N; - } - - if ((res = mp_init (&y)) != MP_OKAY) { - goto LBL_X; - } - - if ((res = mp_init (&z)) != MP_OKAY) { - goto LBL_Y; - } - - /* now loop making the single digit */ - while (mp_count_bits (&a) < k) { - fprintf (stderr, "prime has %4d bits left\r", k - mp_count_bits (&a)); - fflush (stderr); - top: - mp_set (&b, prime_digit ()); - - /* now compute z = a * b * 2 */ - if ((res = mp_mul (&a, &b, &z)) != MP_OKAY) { /* z = a * b */ - goto LBL_Z; - } - - if ((res = mp_copy (&z, &c)) != MP_OKAY) { /* c = a * b */ - goto LBL_Z; - } - - if ((res = mp_mul_2 (&z, &z)) != MP_OKAY) { /* z = 2 * a * b */ - goto LBL_Z; - } - - /* n = z + 1 */ - if ((res = mp_add_d (&z, 1, &n)) != MP_OKAY) { /* n = z + 1 */ - goto LBL_Z; - } - - /* check (n, v) == 1 */ - if ((res = mp_gcd (&n, &v, &y)) != MP_OKAY) { /* y = (n, v) */ - goto LBL_Z; - } - - if (mp_cmp_d (&y, 1) != MP_EQ) - goto top; - - /* now try base x=bases[ii] */ - for (ii = 0; ii < li; ii++) { - mp_set (&x, bases[ii]); - - /* compute x^a mod n */ - if ((res = mp_exptmod (&x, &a, &n, &y)) != MP_OKAY) { /* y = x^a mod n */ - goto LBL_Z; - } - - /* if y == 1 loop */ - if (mp_cmp_d (&y, 1) == MP_EQ) - continue; - - /* now x^2a mod n */ - if ((res = mp_sqrmod (&y, &n, &y)) != MP_OKAY) { /* y = x^2a mod n */ - goto LBL_Z; - } - - if (mp_cmp_d (&y, 1) == MP_EQ) - continue; - - /* compute x^b mod n */ - if ((res = mp_exptmod (&x, &b, &n, &y)) != MP_OKAY) { /* y = x^b mod n */ - goto LBL_Z; - } - - /* if y == 1 loop */ - if (mp_cmp_d (&y, 1) == MP_EQ) - continue; - - /* now x^2b mod n */ - if ((res = mp_sqrmod (&y, &n, &y)) != MP_OKAY) { /* y = x^2b mod n */ - goto LBL_Z; - } - - if (mp_cmp_d (&y, 1) == MP_EQ) - continue; - - /* compute x^c mod n == x^ab mod n */ - if ((res = mp_exptmod (&x, &c, &n, &y)) != MP_OKAY) { /* y = x^ab mod n */ - goto LBL_Z; - } - - /* if y == 1 loop */ - if (mp_cmp_d (&y, 1) == MP_EQ) - continue; - - /* now compute (x^c mod n)^2 */ - if ((res = mp_sqrmod (&y, &n, &y)) != MP_OKAY) { /* y = x^2ab mod n */ - goto LBL_Z; - } - - /* y should be 1 */ - if (mp_cmp_d (&y, 1) != MP_EQ) - continue; - break; - } - - /* no bases worked? */ - if (ii == li) - goto top; - -{ - char buf[4096]; - - mp_toradix(&n, buf, 10); - printf("Certificate of primality for:\n%s\n\n", buf); - mp_toradix(&a, buf, 10); - printf("A == \n%s\n\n", buf); - mp_toradix(&b, buf, 10); - printf("B == \n%s\n\nG == %d\n", buf, bases[ii]); - printf("----------------------------------------------------------------\n"); -} - - /* a = n */ - mp_copy (&n, &a); - } - - /* get q to be the order of the large prime subgroup */ - mp_sub_d (&n, 1, q); - mp_div_2 (q, q); - mp_div (q, &b, q, NULL); - - mp_exch (&n, p); - - res = MP_OKAY; -LBL_Z:mp_clear (&z); -LBL_Y:mp_clear (&y); -LBL_X:mp_clear (&x); -LBL_N:mp_clear (&n); -LBL_B:mp_clear (&b); -LBL_A:mp_clear (&a); -LBL_V:mp_clear (&v); -LBL_C:mp_clear (&c); - return res; -} - - -int -main (void) -{ - mp_int p, q; - char buf[4096]; - int k, li; - clock_t t1; - - srand (time (NULL)); - load_tab(); - - printf ("Enter # of bits: \n"); - fgets (buf, sizeof (buf), stdin); - sscanf (buf, "%d", &k); - - printf ("Enter number of bases to try (1 to 8):\n"); - fgets (buf, sizeof (buf), stdin); - sscanf (buf, "%d", &li); - - - mp_init (&p); - mp_init (&q); - - t1 = clock (); - pprime (k, li, &p, &q); - t1 = clock () - t1; - - printf ("\n\nTook %ld ticks, %d bits\n", t1, mp_count_bits (&p)); - - mp_toradix (&p, buf, 10); - printf ("P == %s\n", buf); - mp_toradix (&q, buf, 10); - printf ("Q == %s\n", buf); - - return 0; -} diff --git a/libtommath/etc/prime.1024 b/libtommath/etc/prime.1024 deleted file mode 100644 index 5636e2d..0000000 --- a/libtommath/etc/prime.1024 +++ /dev/null @@ -1,414 +0,0 @@ -Enter # of bits: -Enter number of bases to try (1 to 8): -Certificate of primality for: -36360080703173363 - -A == -89963569 - -B == -202082249 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -4851595597739856136987139 - -A == -36360080703173363 - -B == -66715963 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -19550639734462621430325731591027 - -A == -4851595597739856136987139 - -B == -2014867 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -10409036141344317165691858509923818734539 - -A == -19550639734462621430325731591027 - -B == -266207047 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -1049829549988285012736475602118094726647504414203 - -A == -10409036141344317165691858509923818734539 - -B == -50428759 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -77194737385528288387712399596835459931920358844586615003 - -A == -1049829549988285012736475602118094726647504414203 - -B == -36765367 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -35663756695365208574443215955488689578374232732893628896541201763 - -A == -77194737385528288387712399596835459931920358844586615003 - -B == -230998627 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -16711831463502165169495622246023119698415848120292671294127567620396469803 - -A == -35663756695365208574443215955488689578374232732893628896541201763 - -B == -234297127 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -6163534781560285962890718925972249753147470953579266394395432475622345597103528739 - -A == -16711831463502165169495622246023119698415848120292671294127567620396469803 - -B == -184406323 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -814258256205243497704094951432575867360065658372158511036259934640748088306764553488803787 - -A == -6163534781560285962890718925972249753147470953579266394395432475622345597103528739 - -B == -66054487 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -176469695533271657902814176811660357049007467856432383037590673407330246967781451723764079581998187 - -A == -814258256205243497704094951432575867360065658372158511036259934640748088306764553488803787 - -B == -108362239 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -44924492859445516541759485198544012102424796403707253610035148063863073596051272171194806669756971406400419 - -A == -176469695533271657902814176811660357049007467856432383037590673407330246967781451723764079581998187 - -B == -127286707 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -20600996927219343383225424320134474929609459588323857796871086845924186191561749519858600696159932468024710985371059 - -A == -44924492859445516541759485198544012102424796403707253610035148063863073596051272171194806669756971406400419 - -B == -229284691 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -6295696427695493110141186605837397185848992307978456138112526915330347715236378041486547994708748840844217371233735072572979 - -A == -20600996927219343383225424320134474929609459588323857796871086845924186191561749519858600696159932468024710985371059 - -B == -152800771 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -3104984078042317488749073016454213579257792635142218294052134804187631661145261015102617582090263808696699966840735333252107678792123 - -A == -6295696427695493110141186605837397185848992307978456138112526915330347715236378041486547994708748840844217371233735072572979 - -B == -246595759 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -26405175827665701256325699315126705508919255051121452292124404943796947287968603975320562847910946802396632302209435206627913466015741799499 - -A == -3104984078042317488749073016454213579257792635142218294052134804187631661145261015102617582090263808696699966840735333252107678792123 - -B == -4252063 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -11122146237908413610034600609460545703591095894418599759742741406628055069007082998134905595800236452010905900391505454890446585211975124558601770163 - -A == -26405175827665701256325699315126705508919255051121452292124404943796947287968603975320562847910946802396632302209435206627913466015741799499 - -B == -210605419 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -1649861642047798890580354082088712649911849362201343649289384923147797960364736011515757482030049342943790127685185806092659832129486307035500638595572396187 - -A == -11122146237908413610034600609460545703591095894418599759742741406628055069007082998134905595800236452010905900391505454890446585211975124558601770163 - -B == -74170111 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -857983367126266717607389719637086684134462613006415859877666235955788392464081914127715967940968197765042399904117392707518175220864852816390004264107201177394565363 - -A == -1649861642047798890580354082088712649911849362201343649289384923147797960364736011515757482030049342943790127685185806092659832129486307035500638595572396187 - -B == -260016763 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -175995909353623703257072120479340610010337144085688850745292031336724691277374210929188442230237711063783727092685448718515661641054886101716698390145283196296702450566161283 - -A == -857983367126266717607389719637086684134462613006415859877666235955788392464081914127715967940968197765042399904117392707518175220864852816390004264107201177394565363 - -B == -102563707 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -48486002551155667224487059713350447239190772068092630563272168418880661006593537218144160068395218642353495339720640699721703003648144463556291315694787862009052641640656933232794283 - -A == -175995909353623703257072120479340610010337144085688850745292031336724691277374210929188442230237711063783727092685448718515661641054886101716698390145283196296702450566161283 - -B == -137747527 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -13156468011529105025061495011938518171328604045212410096476697450506055664012861932372156505805788068791146986282263016790631108386790291275939575123375304599622623328517354163964228279867403 - -A == -48486002551155667224487059713350447239190772068092630563272168418880661006593537218144160068395218642353495339720640699721703003648144463556291315694787862009052641640656933232794283 - -B == -135672847 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -6355194692790533601105154341731997464407930009404822926832136060319955058388106456084549316415200519472481147942263916585428906582726749131479465958107142228236909665306781538860053107680830113869123 - -A == -13156468011529105025061495011938518171328604045212410096476697450506055664012861932372156505805788068791146986282263016790631108386790291275939575123375304599622623328517354163964228279867403 - -B == -241523587 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -3157116676535430302794438027544146642863331358530722860333745617571010460905857862561870488000265751138954271040017454405707755458702044884023184574412221802502351503929935224995314581932097706874819348858083 - -A == -6355194692790533601105154341731997464407930009404822926832136060319955058388106456084549316415200519472481147942263916585428906582726749131479465958107142228236909665306781538860053107680830113869123 - -B == -248388667 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -390533129219992506725320633489467713907837370444962163378727819939092929448752905310115311180032249230394348337568973177802874166228132778126338883671958897238722734394783244237133367055422297736215754829839364158067 - -A == -3157116676535430302794438027544146642863331358530722860333745617571010460905857862561870488000265751138954271040017454405707755458702044884023184574412221802502351503929935224995314581932097706874819348858083 - -B == -61849651 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -48583654555070224891047847050732516652910250240135992225139515777200432486685999462997073444468380434359929499498804723793106565291183220444221080449740542884172281158126259373095216435009661050109711341419005972852770440739 - -A == -390533129219992506725320633489467713907837370444962163378727819939092929448752905310115311180032249230394348337568973177802874166228132778126338883671958897238722734394783244237133367055422297736215754829839364158067 - -B == -62201707 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -25733035251905120039135866524384525138869748427727001128764704499071378939227862068500633813538831598776578372709963673670934388213622433800015759585470542686333039614931682098922935087822950084908715298627996115185849260703525317419 - -A == -48583654555070224891047847050732516652910250240135992225139515777200432486685999462997073444468380434359929499498804723793106565291183220444221080449740542884172281158126259373095216435009661050109711341419005972852770440739 - -B == -264832231 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -2804594464939948901906623499531073917980499195397462605359913717827014360538186518540781517129548650937632008683280555602633122170458773895504894807182664540529077836857897972175530148107545939211339044386106111633510166695386323426241809387 - -A == -25733035251905120039135866524384525138869748427727001128764704499071378939227862068500633813538831598776578372709963673670934388213622433800015759585470542686333039614931682098922935087822950084908715298627996115185849260703525317419 - -B == -54494047 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -738136612083433720096707308165797114449914259256979340471077690416567237592465306112484843530074782721390528773594351482384711900456440808251196845265132086486672447136822046628407467459921823150600138073268385534588238548865012638209515923513516547 - -A == -2804594464939948901906623499531073917980499195397462605359913717827014360538186518540781517129548650937632008683280555602633122170458773895504894807182664540529077836857897972175530148107545939211339044386106111633510166695386323426241809387 - -B == -131594179 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -392847529056126766528615419937165193421166694172790666626558750047057558168124866940509180171236517681470100877687445134633784815352076138790217228749332398026714192707447855731679485746120589851992221508292976900578299504461333767437280988393026452846013683 - -A == -738136612083433720096707308165797114449914259256979340471077690416567237592465306112484843530074782721390528773594351482384711900456440808251196845265132086486672447136822046628407467459921823150600138073268385534588238548865012638209515923513516547 - -B == -266107603 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -168459393231883505975876919268398655632763956627405508859662408056221544310200546265681845397346956580604208064328814319465940958080244889692368602591598503944015835190587740756859842792554282496742843600573336023639256008687581291233481455395123454655488735304365627 - -A == -392847529056126766528615419937165193421166694172790666626558750047057558168124866940509180171236517681470100877687445134633784815352076138790217228749332398026714192707447855731679485746120589851992221508292976900578299504461333767437280988393026452846013683 - -B == -214408111 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -14865774288636941404884923981945833072113667565310054952177860608355263252462409554658728941191929400198053290113492910272458441655458514080123870132092365833472436407455910185221474386718838138135065780840839893113912689594815485706154461164071775481134379794909690501684643 - -A == -168459393231883505975876919268398655632763956627405508859662408056221544310200546265681845397346956580604208064328814319465940958080244889692368602591598503944015835190587740756859842792554282496742843600573336023639256008687581291233481455395123454655488735304365627 - -B == -44122723 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -1213301773203241614897109856134894783021668292000023984098824423682568173639394290886185366993108292039068940333907505157813934962357206131450244004178619265868614859794316361031904412926604138893775068853175215502104744339658944443630407632290152772487455298652998368296998719996019 - -A == -14865774288636941404884923981945833072113667565310054952177860608355263252462409554658728941191929400198053290113492910272458441655458514080123870132092365833472436407455910185221474386718838138135065780840839893113912689594815485706154461164071775481134379794909690501684643 - -B == -40808563 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -186935245989515158127969129347464851990429060640910951266513740972248428651109062997368144722015290092846666943896556191257222521203647606911446635194198213436423080005867489516421559330500722264446765608763224572386410155413161172707802334865729654109050873820610813855041667633843601286843 - -A == -1213301773203241614897109856134894783021668292000023984098824423682568173639394290886185366993108292039068940333907505157813934962357206131450244004178619265868614859794316361031904412926604138893775068853175215502104744339658944443630407632290152772487455298652998368296998719996019 - -B == -77035759 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -83142661079751490510739960019112406284111408348732592580459037404394946037094409915127399165633756159385609671956087845517678367844901424617866988187132480585966721962585586730693443536100138246516868613250009028187662080828012497191775172228832247706080044971423654632146928165751885302331924491683 - -A == -186935245989515158127969129347464851990429060640910951266513740972248428651109062997368144722015290092846666943896556191257222521203647606911446635194198213436423080005867489516421559330500722264446765608763224572386410155413161172707802334865729654109050873820610813855041667633843601286843 - -B == -222383587 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -3892354773803809855317742245039794448230625839512638747643814927766738642436392673485997449586432241626440927010641564064764336402368634186618250134234189066179771240232458249806850838490410473462391401438160528157981942499581634732706904411807195259620779379274017704050790865030808501633772117217899534443 - -A == -83142661079751490510739960019112406284111408348732592580459037404394946037094409915127399165633756159385609671956087845517678367844901424617866988187132480585966721962585586730693443536100138246516868613250009028187662080828012497191775172228832247706080044971423654632146928165751885302331924491683 - -B == -23407687 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -1663606652988091811284014366560171522582683318514519379924950390627250155440313691226744227787921928894551755219495501365555370027257568506349958010457682898612082048959464465369892842603765280317696116552850664773291371490339084156052244256635115997453399761029567033971998617303988376172539172702246575225837054723 - -A == -3892354773803809855317742245039794448230625839512638747643814927766738642436392673485997449586432241626440927010641564064764336402368634186618250134234189066179771240232458249806850838490410473462391401438160528157981942499581634732706904411807195259620779379274017704050790865030808501633772117217899534443 - -B == -213701827 - -G == 2 ----------------------------------------------------------------- - - -Took 33057 ticks, 1048 bits -P == 1663606652988091811284014366560171522582683318514519379924950390627250155440313691226744227787921928894551755219495501365555370027257568506349958010457682898612082048959464465369892842603765280317696116552850664773291371490339084156052244256635115997453399761029567033971998617303988376172539172702246575225837054723 -Q == 3892354773803809855317742245039794448230625839512638747643814927766738642436392673485997449586432241626440927010641564064764336402368634186618250134234189066179771240232458249806850838490410473462391401438160528157981942499581634732706904411807195259620779379274017704050790865030808501633772117217899534443 diff --git a/libtommath/etc/prime.512 b/libtommath/etc/prime.512 deleted file mode 100644 index cb6ec30..0000000 --- a/libtommath/etc/prime.512 +++ /dev/null @@ -1,205 +0,0 @@ -Enter # of bits: -Enter number of bases to try (1 to 8): -Certificate of primality for: -85933926807634727 - -A == -253758023 - -B == -169322581 - -G == 5 ----------------------------------------------------------------- -Certificate of primality for: -23930198825086241462113799 - -A == -85933926807634727 - -B == -139236037 - -G == 11 ----------------------------------------------------------------- -Certificate of primality for: -6401844647261612602378676572510019 - -A == -23930198825086241462113799 - -B == -133760791 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -269731366027728777712034888684015329354259 - -A == -6401844647261612602378676572510019 - -B == -21066691 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -37942338209025571690075025099189467992329684223707 - -A == -269731366027728777712034888684015329354259 - -B == -70333567 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -15306904714258982484473490774101705363308327436988160248323 - -A == -37942338209025571690075025099189467992329684223707 - -B == -201712723 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -1616744757018513392810355191503853040357155275733333124624513530099 - -A == -15306904714258982484473490774101705363308327436988160248323 - -B == -52810963 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -464222094814208047161771036072622485188658077940154689939306386289983787983 - -A == -1616744757018513392810355191503853040357155275733333124624513530099 - -B == -143566909 - -G == 5 ----------------------------------------------------------------- -Certificate of primality for: -187429931674053784626487560729643601208757374994177258429930699354770049369025096447 - -A == -464222094814208047161771036072622485188658077940154689939306386289983787983 - -B == -201875281 - -G == 5 ----------------------------------------------------------------- -Certificate of primality for: -100579220846502621074093727119851331775052664444339632682598589456666938521976625305832917563 - -A == -187429931674053784626487560729643601208757374994177258429930699354770049369025096447 - -B == -268311523 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -1173616081309758475197022137833792133815753368965945885089720153370737965497134878651384030219765163 - -A == -100579220846502621074093727119851331775052664444339632682598589456666938521976625305832917563 - -B == -5834287 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -191456913489905913185935197655672585713573070349044195411728114905691721186574907738081340754373032735283623 - -A == -1173616081309758475197022137833792133815753368965945885089720153370737965497134878651384030219765163 - -B == -81567097 - -G == 5 ----------------------------------------------------------------- -Certificate of primality for: -57856530489201750164178576399448868489243874083056587683743345599898489554401618943240901541005080049321706789987519 - -A == -191456913489905913185935197655672585713573070349044195411728114905691721186574907738081340754373032735283623 - -B == -151095433 - -G == 7 ----------------------------------------------------------------- -Certificate of primality for: -13790529750452576698109671710773784949185621244122040804792403407272729038377767162233653248852099545134831722512085881814803 - -A == -57856530489201750164178576399448868489243874083056587683743345599898489554401618943240901541005080049321706789987519 - -B == -119178679 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -7075985989000817742677547821106534174334812111605018857703825637170140040509067704269696198231266351631132464035671858077052876058979 - -A == -13790529750452576698109671710773784949185621244122040804792403407272729038377767162233653248852099545134831722512085881814803 - -B == -256552363 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -1227273006232588072907488910282307435921226646895131225407452056677899411162892829564455154080310937471747140942360789623819327234258162420463 - -A == -7075985989000817742677547821106534174334812111605018857703825637170140040509067704269696198231266351631132464035671858077052876058979 - -B == -86720989 - -G == 5 ----------------------------------------------------------------- -Certificate of primality for: -446764896913554613686067036908702877942872355053329937790398156069936255759889884246832779737114032666318220500106499161852193765380831330106375235763 - -A == -1227273006232588072907488910282307435921226646895131225407452056677899411162892829564455154080310937471747140942360789623819327234258162420463 - -B == -182015287 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -5290203010849586596974953717018896543907195901082056939587768479377028575911127944611236020459652034082251335583308070846379514569838984811187823420951275243 - -A == -446764896913554613686067036908702877942872355053329937790398156069936255759889884246832779737114032666318220500106499161852193765380831330106375235763 - -B == -5920567 - -G == 2 ----------------------------------------------------------------- - - -Took 3454 ticks, 521 bits -P == 5290203010849586596974953717018896543907195901082056939587768479377028575911127944611236020459652034082251335583308070846379514569838984811187823420951275243 -Q == 446764896913554613686067036908702877942872355053329937790398156069936255759889884246832779737114032666318220500106499161852193765380831330106375235763 diff --git a/libtommath/etc/timer.asm b/libtommath/etc/timer.asm deleted file mode 100644 index 326a947..0000000 --- a/libtommath/etc/timer.asm +++ /dev/null @@ -1,37 +0,0 @@ -; x86 timer in NASM -; -; Tom St Denis, tomstdenis@iahu.ca -[bits 32] -[section .data] -time dd 0, 0 - -[section .text] - -%ifdef USE_ELF -[global t_start] -t_start: -%else -[global _t_start] -_t_start: -%endif - push edx - push eax - rdtsc - mov [time+0],edx - mov [time+4],eax - pop eax - pop edx - ret - -%ifdef USE_ELF -[global t_read] -t_read: -%else -[global _t_read] -_t_read: -%endif - rdtsc - sub eax,[time+4] - sbb edx,[time+0] - ret - \ No newline at end of file diff --git a/libtommath/etc/tune.c b/libtommath/etc/tune.c deleted file mode 100644 index acb146f..0000000 --- a/libtommath/etc/tune.c +++ /dev/null @@ -1,138 +0,0 @@ -/* Tune the Karatsuba parameters - * - * Tom St Denis, tomstdenis@gmail.com - */ -#include -#include - -/* how many times todo each size mult. Depends on your computer. For slow computers - * this can be low like 5 or 10. For fast [re: Athlon] should be 25 - 50 or so - */ -#define TIMES (1UL<<14UL) - -/* RDTSC from Scott Duplichan */ -static ulong64 TIMFUNC (void) - { - #if defined __GNUC__ - #if defined(__i386__) || defined(__x86_64__) - unsigned long long a; - __asm__ __volatile__ ("rdtsc\nmovl %%eax,%0\nmovl %%edx,4+%0\n"::"m"(a):"%eax","%edx"); - return a; - #else /* gcc-IA64 version */ - unsigned long result; - __asm__ __volatile__("mov %0=ar.itc" : "=r"(result) :: "memory"); - while (__builtin_expect ((int) result == -1, 0)) - __asm__ __volatile__("mov %0=ar.itc" : "=r"(result) :: "memory"); - return result; - #endif - - // Microsoft and Intel Windows compilers - #elif defined _M_IX86 - __asm rdtsc - #elif defined _M_AMD64 - return __rdtsc (); - #elif defined _M_IA64 - #if defined __INTEL_COMPILER - #include - #endif - return __getReg (3116); - #else - #error need rdtsc function for this build - #endif - } - - -#ifndef X86_TIMER - -/* generic ISO C timer */ -ulong64 LBL_T; -void t_start(void) { LBL_T = TIMFUNC(); } -ulong64 t_read(void) { return TIMFUNC() - LBL_T; } - -#else -extern void t_start(void); -extern ulong64 t_read(void); -#endif - -ulong64 time_mult(int size, int s) -{ - unsigned long x; - mp_int a, b, c; - ulong64 t1; - - mp_init (&a); - mp_init (&b); - mp_init (&c); - - mp_rand (&a, size); - mp_rand (&b, size); - - if (s == 1) { - KARATSUBA_MUL_CUTOFF = size; - } else { - KARATSUBA_MUL_CUTOFF = 100000; - } - - t_start(); - for (x = 0; x < TIMES; x++) { - mp_mul(&a,&b,&c); - } - t1 = t_read(); - mp_clear (&a); - mp_clear (&b); - mp_clear (&c); - return t1; -} - -ulong64 time_sqr(int size, int s) -{ - unsigned long x; - mp_int a, b; - ulong64 t1; - - mp_init (&a); - mp_init (&b); - - mp_rand (&a, size); - - if (s == 1) { - KARATSUBA_SQR_CUTOFF = size; - } else { - KARATSUBA_SQR_CUTOFF = 100000; - } - - t_start(); - for (x = 0; x < TIMES; x++) { - mp_sqr(&a,&b); - } - t1 = t_read(); - mp_clear (&a); - mp_clear (&b); - return t1; -} - -int -main (void) -{ - ulong64 t1, t2; - int x, y; - - for (x = 8; ; x += 2) { - t1 = time_mult(x, 0); - t2 = time_mult(x, 1); - printf("%d: %9llu %9llu, %9llu\n", x, t1, t2, t2 - t1); - if (t2 < t1) break; - } - y = x; - - for (x = 8; ; x += 2) { - t1 = time_sqr(x, 0); - t2 = time_sqr(x, 1); - printf("%d: %9llu %9llu, %9llu\n", x, t1, t2, t2 - t1); - if (t2 < t1) break; - } - printf("KARATSUBA_MUL_CUTOFF = %d\n", y); - printf("KARATSUBA_SQR_CUTOFF = %d\n", x); - - return 0; -} diff --git a/libtommath/gen.pl b/libtommath/gen.pl index 7236591..57f65ac 100644 --- a/libtommath/gen.pl +++ b/libtommath/gen.pl @@ -14,4 +14,6 @@ foreach my $filename (glob "bn*.c") { close SRC or die "Error closing $filename after reading: $!"; } print OUT "\n/* EOF */\n"; -close OUT or die "Error closing mpi.c after writing: $!"; \ No newline at end of file +close OUT or die "Error closing mpi.c after writing: $!"; + +system('perl -pli -e "s/\s*$//" mpi.c'); diff --git a/libtommath/logs/README b/libtommath/logs/README deleted file mode 100644 index 965e7c8..0000000 --- a/libtommath/logs/README +++ /dev/null @@ -1,13 +0,0 @@ -To use the pretty graphs you have to first build/run the ltmtest from the root directory of the package. -Todo this type - -make timing ; ltmtest - -in the root. It will run for a while [about ten minutes on most PCs] and produce a series of .log files in logs/. - -After doing that run "gnuplot graphs.dem" to make the PNGs. If you managed todo that all so far just open index.html to view -them all :-) - -Have fun - -Tom \ No newline at end of file diff --git a/libtommath/logs/add.log b/libtommath/logs/add.log deleted file mode 100644 index 43503ac..0000000 --- a/libtommath/logs/add.log +++ /dev/null @@ -1,16 +0,0 @@ -480 87 -960 111 -1440 135 -1920 159 -2400 200 -2880 224 -3360 248 -3840 272 -4320 296 -4800 320 -5280 344 -5760 368 -6240 392 -6720 416 -7200 440 -7680 464 diff --git a/libtommath/logs/addsub.png b/libtommath/logs/addsub.png deleted file mode 100644 index 441c7b2..0000000 Binary files a/libtommath/logs/addsub.png and /dev/null differ diff --git a/libtommath/logs/expt.log b/libtommath/logs/expt.log deleted file mode 100644 index 70932ab..0000000 --- a/libtommath/logs/expt.log +++ /dev/null @@ -1,7 +0,0 @@ -513 1435869 -769 3544970 -1025 7791638 -2049 46902238 -2561 85334899 -3073 141451412 -4097 308770310 diff --git a/libtommath/logs/expt.png b/libtommath/logs/expt.png deleted file mode 100644 index d779cc5..0000000 Binary files a/libtommath/logs/expt.png and /dev/null differ diff --git a/libtommath/logs/expt_2k.log b/libtommath/logs/expt_2k.log deleted file mode 100644 index 97d325f..0000000 --- a/libtommath/logs/expt_2k.log +++ /dev/null @@ -1,5 +0,0 @@ -607 2109225 -1279 10148314 -2203 34126877 -3217 82716424 -4253 161569606 diff --git a/libtommath/logs/expt_2kl.log b/libtommath/logs/expt_2kl.log deleted file mode 100644 index d9ad4be..0000000 --- a/libtommath/logs/expt_2kl.log +++ /dev/null @@ -1,4 +0,0 @@ -1024 7705271 -2048 34286851 -4096 165207491 -521 1618631 diff --git a/libtommath/logs/expt_dr.log b/libtommath/logs/expt_dr.log deleted file mode 100644 index c6bbe07..0000000 --- a/libtommath/logs/expt_dr.log +++ /dev/null @@ -1,7 +0,0 @@ -532 1928550 -784 3763908 -1036 7564221 -1540 16566059 -2072 32283784 -3080 79851565 -4116 157843530 diff --git a/libtommath/logs/graphs.dem b/libtommath/logs/graphs.dem deleted file mode 100644 index dfaf613..0000000 --- a/libtommath/logs/graphs.dem +++ /dev/null @@ -1,17 +0,0 @@ -set terminal png -set size 1.75 -set ylabel "Cycles per Operation" -set xlabel "Operand size (bits)" - -set output "addsub.png" -plot 'add.log' smooth bezier title "Addition", 'sub.log' smooth bezier title "Subtraction" - -set output "mult.png" -plot 'sqr.log' smooth bezier title "Squaring (without Karatsuba)", 'sqr_kara.log' smooth bezier title "Squaring (Karatsuba)", 'mult.log' smooth bezier title "Multiplication (without Karatsuba)", 'mult_kara.log' smooth bezier title "Multiplication (Karatsuba)" - -set output "expt.png" -plot 'expt.log' smooth bezier title "Exptmod (Montgomery)", 'expt_dr.log' smooth bezier title "Exptmod (Dimminished Radix)", 'expt_2k.log' smooth bezier title "Exptmod (2k Reduction)" - -set output "invmod.png" -plot 'invmod.log' smooth bezier title "Modular Inverse" - diff --git a/libtommath/logs/index.html b/libtommath/logs/index.html deleted file mode 100644 index 8c1ed9d..0000000 --- a/libtommath/logs/index.html +++ /dev/null @@ -1,24 +0,0 @@ - - -LibTomMath Log Plots - - - -

Addition and Subtraction

-
-
- -

Multipliers

-
-
- -

Exptmod

-
-
- -

Modular Inverse

-
-
- - - diff --git a/libtommath/logs/invmod.log b/libtommath/logs/invmod.log deleted file mode 100644 index e69de29..0000000 diff --git a/libtommath/logs/invmod.png b/libtommath/logs/invmod.png deleted file mode 100644 index 9dcd7d8..0000000 Binary files a/libtommath/logs/invmod.png and /dev/null differ diff --git a/libtommath/logs/mult.log b/libtommath/logs/mult.log deleted file mode 100644 index 33563fc..0000000 --- a/libtommath/logs/mult.log +++ /dev/null @@ -1,84 +0,0 @@ -271 555 -390 855 -508 1161 -631 1605 -749 2117 -871 2687 -991 3329 -1108 4084 -1231 4786 -1351 5624 -1470 6392 -1586 7364 -1710 8218 -1830 9255 -1951 10217 -2067 11461 -2191 12463 -2308 13677 -2430 14800 -2551 16232 -2671 17460 -2791 18899 -2902 20247 -3028 21902 -3151 23240 -3267 24927 -3391 26441 -3511 28277 -3631 29838 -3749 31751 -3869 33673 -3989 35431 -4111 37518 -4231 39426 -4349 41504 -4471 43567 -4591 45786 -4711 47876 -4831 50299 -4951 52427 -5071 54785 -5189 57241 -5307 59730 -5431 62194 -5551 64761 -5670 67322 -5789 70073 -5907 72663 -6030 75437 -6151 78242 -6268 81202 -6389 83948 -6509 86985 -6631 89903 -6747 93184 -6869 96044 -6991 99286 -7109 102395 -7229 105917 -7351 108940 -7470 112490 -7589 115702 -7711 119508 -7831 122632 -7951 126410 -8071 129808 -8190 133895 -8311 137146 -8431 141218 -8549 144732 -8667 149131 -8790 152462 -8911 156754 -9030 160479 -9149 165138 -9271 168601 -9391 173185 -9511 176988 -9627 181976 -9751 185539 -9870 190388 -9991 194335 -10110 199605 -10228 203298 diff --git a/libtommath/logs/mult.png b/libtommath/logs/mult.png deleted file mode 100644 index d22e8c8..0000000 Binary files a/libtommath/logs/mult.png and /dev/null differ diff --git a/libtommath/logs/mult_kara.log b/libtommath/logs/mult_kara.log deleted file mode 100644 index 7136c79..0000000 --- a/libtommath/logs/mult_kara.log +++ /dev/null @@ -1,84 +0,0 @@ -271 560 -391 870 -511 1159 -631 1605 -750 2111 -871 2737 -991 3361 -1111 4054 -1231 4778 -1351 5600 -1471 6404 -1591 7323 -1710 8255 -1831 9239 -1948 10257 -2070 11397 -2190 12531 -2308 13665 -2429 14870 -2550 16175 -2671 17539 -2787 18879 -2911 20350 -3031 21807 -3150 23415 -3270 24897 -3388 26567 -3511 28205 -3627 30076 -3751 31744 -3869 33657 -3991 35425 -4111 37522 -4229 39363 -4351 41503 -4470 43491 -4590 45827 -4711 47795 -4828 50166 -4951 52318 -5070 54911 -5191 57036 -5308 58237 -5431 60248 -5551 62678 -5671 64786 -5791 67294 -5908 69343 -6031 71607 -6151 74166 -6271 76590 -6391 78734 -6511 81175 -6631 83742 -6750 86403 -6868 88873 -6990 91150 -7110 94211 -7228 96922 -7351 99445 -7469 102216 -7589 104968 -7711 108113 -7827 110758 -7950 113714 -8071 116511 -8186 119643 -8310 122679 -8425 125581 -8551 128715 -8669 131778 -8788 135116 -8910 138138 -9031 141628 -9148 144754 -9268 148367 -9391 151551 -9511 155033 -9631 158652 -9751 162125 -9871 165248 -9988 168627 -10111 172427 -10231 176412 diff --git a/libtommath/logs/sqr.log b/libtommath/logs/sqr.log deleted file mode 100644 index cd29fc5..0000000 --- a/libtommath/logs/sqr.log +++ /dev/null @@ -1,84 +0,0 @@ -265 562 -389 882 -509 1207 -631 1572 -750 1990 -859 2433 -991 2894 -1109 3555 -1230 4228 -1350 5018 -1471 5805 -1591 6579 -1709 7415 -1829 8329 -1949 9225 -2071 10139 -2188 11239 -2309 12178 -2431 13212 -2551 14294 -2671 15551 -2791 16512 -2911 17718 -3030 18876 -3150 20259 -3270 21374 -3391 22650 -3511 23948 -3631 25493 -3750 26756 -3870 28225 -3989 29705 -4110 31409 -4230 32834 -4351 34327 -4471 35818 -4591 37636 -4711 39228 -4830 40868 -4949 42393 -5070 44541 -5191 46269 -5310 48162 -5429 49728 -5548 51985 -5671 53948 -5791 55885 -5910 57584 -6031 60082 -6150 62239 -6270 64309 -6390 66014 -6511 68766 -6631 71012 -6750 73172 -6871 74952 -6991 77909 -7111 80371 -7231 82666 -7351 84531 -7469 87698 -7589 90318 -7711 225384 -7830 232428 -7950 240009 -8070 246522 -8190 253662 -8310 260961 -8431 269253 -8549 275743 -8671 283769 -8789 290811 -8911 300034 -9030 306873 -9149 315085 -9270 323944 -9390 332390 -9508 337519 -9631 348986 -9749 356904 -9871 367013 -9989 373831 -10108 381033 -10230 393475 diff --git a/libtommath/logs/sqr_kara.log b/libtommath/logs/sqr_kara.log deleted file mode 100644 index 06355a7..0000000 --- a/libtommath/logs/sqr_kara.log +++ /dev/null @@ -1,84 +0,0 @@ -271 560 -388 878 -511 1179 -629 1625 -751 1988 -871 2423 -989 2896 -1111 3561 -1231 4209 -1350 5015 -1470 5804 -1591 6556 -1709 7420 -1831 8263 -1951 9173 -2070 10153 -2191 11229 -2310 12167 -2431 13211 -2550 14309 -2671 15524 -2788 16525 -2910 17712 -3028 18822 -3148 20220 -3271 21343 -3391 22652 -3511 23944 -3630 25485 -3750 26778 -3868 28201 -3990 29653 -4111 31393 -4225 32841 -4350 34328 -4471 35786 -4590 37652 -4711 39245 -4830 40876 -4951 42433 -5068 44547 -5191 46321 -5311 48140 -5430 49727 -5550 52034 -5671 53954 -5791 55921 -5908 57597 -6031 60084 -6148 62226 -6270 64295 -6390 66045 -6511 68779 -6629 71003 -6751 73169 -6871 74992 -6991 77895 -7110 80376 -7231 82628 -7351 84468 -7470 87664 -7591 90284 -7711 91352 -7828 93995 -7950 96276 -8071 98691 -8190 101256 -8308 103631 -8431 105222 -8550 108343 -8671 110281 -8787 112764 -8911 115397 -9031 117690 -9151 120266 -9271 122715 -9391 124624 -9510 127937 -9630 130313 -9750 132914 -9871 136129 -9991 138517 -10108 141525 -10231 144225 diff --git a/libtommath/logs/sub.log b/libtommath/logs/sub.log deleted file mode 100644 index 9f84fa2..0000000 --- a/libtommath/logs/sub.log +++ /dev/null @@ -1,16 +0,0 @@ -480 94 -960 116 -1440 140 -1920 164 -2400 205 -2880 229 -3360 253 -3840 277 -4320 299 -4800 321 -5280 345 -5760 371 -6240 395 -6720 419 -7200 441 -7680 465 diff --git a/libtommath/makefile b/libtommath/makefile index 70de306..f90971c 100644 --- a/libtommath/makefile +++ b/libtommath/makefile @@ -2,98 +2,66 @@ # #Tom St Denis -#version of library -VERSION=0.42.0 - -CFLAGS += -I./ -Wall -W -Wshadow -Wsign-compare - -ifndef MAKE - MAKE=make -endif - -ifndef IGNORE_SPEED - -#for speed -CFLAGS += -O3 -funroll-loops - -#for size -#CFLAGS += -Os - -#x86 optimizations [should be valid for any GCC install though] -CFLAGS += -fomit-frame-pointer - -#debug -#CFLAGS += -g3 - -endif - -#install as this user -ifndef INSTALL_GROUP - GROUP=wheel +ifeq ($V,1) +silent= else - GROUP=$(INSTALL_GROUP) +silent=@ endif -ifndef INSTALL_USER - USER=root -else - USER=$(INSTALL_USER) +%.o: %.c +ifneq ($V,1) + @echo " * ${CC} $@" endif + ${silent} ${CC} -c ${CFLAGS} $^ -o $@ #default files to install ifndef LIBNAME LIBNAME=libtommath.a endif -default: ${LIBNAME} - -HEADERS=tommath.h tommath_class.h tommath_superclass.h - -#LIBPATH-The directory for libtommath to be installed to. -#INCPATH-The directory to install the header files for libtommath. -#DATAPATH-The directory to install the pdf docs. -DESTDIR= -LIBPATH=/usr/lib -INCPATH=/usr/include -DATAPATH=/usr/share/doc/libtommath/pdf - -OBJECTS=bncore.o bn_mp_init.o bn_mp_clear.o bn_mp_exch.o bn_mp_grow.o bn_mp_shrink.o \ -bn_mp_clamp.o bn_mp_zero.o bn_mp_set.o bn_mp_set_int.o bn_mp_init_size.o bn_mp_copy.o \ -bn_mp_init_copy.o bn_mp_abs.o bn_mp_neg.o bn_mp_cmp_mag.o bn_mp_cmp.o bn_mp_cmp_d.o \ -bn_mp_rshd.o bn_mp_lshd.o bn_mp_mod_2d.o bn_mp_div_2d.o bn_mp_mul_2d.o bn_mp_div_2.o \ -bn_mp_mul_2.o bn_s_mp_add.o bn_s_mp_sub.o bn_fast_s_mp_mul_digs.o bn_s_mp_mul_digs.o \ -bn_fast_s_mp_mul_high_digs.o bn_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_s_mp_sqr.o \ -bn_mp_add.o bn_mp_sub.o bn_mp_karatsuba_mul.o bn_mp_mul.o bn_mp_karatsuba_sqr.o \ -bn_mp_sqr.o bn_mp_div.o bn_mp_mod.o bn_mp_add_d.o bn_mp_sub_d.o bn_mp_mul_d.o \ -bn_mp_div_d.o bn_mp_mod_d.o bn_mp_expt_d.o bn_mp_addmod.o bn_mp_submod.o \ -bn_mp_mulmod.o bn_mp_sqrmod.o bn_mp_gcd.o bn_mp_lcm.o bn_fast_mp_invmod.o bn_mp_invmod.o \ -bn_mp_reduce.o bn_mp_montgomery_setup.o bn_fast_mp_montgomery_reduce.o bn_mp_montgomery_reduce.o \ -bn_mp_exptmod_fast.o bn_mp_exptmod.o bn_mp_2expt.o bn_mp_n_root.o bn_mp_jacobi.o bn_reverse.o \ -bn_mp_count_bits.o bn_mp_read_unsigned_bin.o bn_mp_read_signed_bin.o bn_mp_to_unsigned_bin.o \ -bn_mp_to_signed_bin.o bn_mp_unsigned_bin_size.o bn_mp_signed_bin_size.o \ -bn_mp_xor.o bn_mp_and.o bn_mp_or.o bn_mp_rand.o bn_mp_montgomery_calc_normalization.o \ -bn_mp_prime_is_divisible.o bn_prime_tab.o bn_mp_prime_fermat.o bn_mp_prime_miller_rabin.o \ -bn_mp_prime_is_prime.o bn_mp_prime_next_prime.o bn_mp_dr_reduce.o \ -bn_mp_dr_is_modulus.o bn_mp_dr_setup.o bn_mp_reduce_setup.o \ -bn_mp_toom_mul.o bn_mp_toom_sqr.o bn_mp_div_3.o bn_s_mp_exptmod.o \ -bn_mp_reduce_2k.o bn_mp_reduce_is_2k.o bn_mp_reduce_2k_setup.o \ -bn_mp_reduce_2k_l.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_2k_setup_l.o \ -bn_mp_radix_smap.o bn_mp_read_radix.o bn_mp_toradix.o bn_mp_radix_size.o \ -bn_mp_fread.o bn_mp_fwrite.o bn_mp_cnt_lsb.o bn_error.o \ -bn_mp_init_multi.o bn_mp_clear_multi.o bn_mp_exteuclid.o bn_mp_toradix_n.o \ -bn_mp_prime_random_ex.o bn_mp_get_int.o bn_mp_sqrt.o bn_mp_is_square.o bn_mp_init_set.o \ -bn_mp_init_set_int.o bn_mp_invmod_slow.o bn_mp_prime_rabin_miller_trials.o \ -bn_mp_to_signed_bin_n.o bn_mp_to_unsigned_bin_n.o +coverage: LIBNAME:=-Wl,--whole-archive $(LIBNAME) -Wl,--no-whole-archive + +include makefile.include + +LCOV_ARGS=--directory . + +#START_INS +OBJECTS=bncore.o bn_error.o bn_fast_mp_invmod.o bn_fast_mp_montgomery_reduce.o bn_fast_s_mp_mul_digs.o \ +bn_fast_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_mp_2expt.o bn_mp_abs.o bn_mp_add.o bn_mp_add_d.o \ +bn_mp_addmod.o bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp_cmp.o bn_mp_cmp_d.o \ +bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o \ +bn_mp_div.o bn_mp_div_d.o bn_mp_dr_is_modulus.o bn_mp_dr_reduce.o bn_mp_dr_setup.o bn_mp_exch.o \ +bn_mp_export.o bn_mp_expt_d.o bn_mp_expt_d_ex.o bn_mp_exptmod.o bn_mp_exptmod_fast.o bn_mp_exteuclid.o \ +bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_int.o bn_mp_get_long.o bn_mp_get_long_long.o \ +bn_mp_grow.o bn_mp_import.o bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o \ +bn_mp_init_set_int.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_invmod_slow.o bn_mp_is_square.o \ +bn_mp_jacobi.o bn_mp_karatsuba_mul.o bn_mp_karatsuba_sqr.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod_2d.o \ +bn_mp_mod.o bn_mp_mod_d.o bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o \ +bn_mp_montgomery_setup.o bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_neg.o \ +bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_is_divisible.o \ +bn_mp_prime_is_prime.o bn_mp_prime_miller_rabin.o bn_mp_prime_next_prime.o \ +bn_mp_prime_rabin_miller_trials.o bn_mp_prime_random_ex.o bn_mp_radix_size.o bn_mp_radix_smap.o \ +bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o bn_mp_read_unsigned_bin.o bn_mp_reduce_2k.o \ +bn_mp_reduce_2k_l.o bn_mp_reduce_2k_setup.o bn_mp_reduce_2k_setup_l.o bn_mp_reduce.o \ +bn_mp_reduce_is_2k.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_setup.o bn_mp_rshd.o bn_mp_set.o bn_mp_set_int.o \ +bn_mp_set_long.o bn_mp_set_long_long.o bn_mp_shrink.o bn_mp_signed_bin_size.o bn_mp_sqr.o bn_mp_sqrmod.o \ +bn_mp_sqrt.o bn_mp_sqrtmod_prime.o bn_mp_sub.o bn_mp_sub_d.o bn_mp_submod.o bn_mp_toom_mul.o \ +bn_mp_toom_sqr.o bn_mp_toradix.o bn_mp_toradix_n.o bn_mp_to_signed_bin.o bn_mp_to_signed_bin_n.o \ +bn_mp_to_unsigned_bin.o bn_mp_to_unsigned_bin_n.o bn_mp_unsigned_bin_size.o bn_mp_xor.o bn_mp_zero.o \ +bn_prime_tab.o bn_reverse.o bn_s_mp_add.o bn_s_mp_exptmod.o bn_s_mp_mul_digs.o bn_s_mp_mul_high_digs.o \ +bn_s_mp_sqr.o bn_s_mp_sub.o + +#END_INS $(LIBNAME): $(OBJECTS) $(AR) $(ARFLAGS) $@ $(OBJECTS) - ranlib $@ + $(RANLIB) $@ #make a profiled library (takes a while!!!) # # This will build the library with profile generation # then run the test demo and rebuild the library. -# +# # So far I've seen improvements in the MP math profiled: make CFLAGS="$(CFLAGS) -fprofile-arcs -DTESTING" timing @@ -101,35 +69,42 @@ profiled: rm -f *.a *.o ltmtest make CFLAGS="$(CFLAGS) -fbranch-probabilities" -#make a single object profiled library +#make a single object profiled library profiled_single: perl gen.pl $(CC) $(CFLAGS) -fprofile-arcs -DTESTING -c mpi.c -o mpi.o - $(CC) $(CFLAGS) -DTESTING -DTIMER demo/timing.c mpi.o -o ltmtest + $(CC) $(CFLAGS) -DTESTING -DTIMER demo/timing.c mpi.o -lgcov -o ltmtest ./ltmtest rm -f *.o ltmtest $(CC) $(CFLAGS) -fbranch-probabilities -DTESTING -c mpi.c -o mpi.o $(AR) $(ARFLAGS) $(LIBNAME) mpi.o - ranlib $(LIBNAME) + ranlib $(LIBNAME) install: $(LIBNAME) - install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(LIBPATH) - install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(INCPATH) - install -g $(GROUP) -o $(USER) $(LIBNAME) $(DESTDIR)$(LIBPATH) - install -g $(GROUP) -o $(USER) $(HEADERS) $(DESTDIR)$(INCPATH) + install -d $(DESTDIR)$(LIBPATH) + install -d $(DESTDIR)$(INCPATH) + install -m 644 $(LIBNAME) $(DESTDIR)$(LIBPATH) + install -m 644 $(HEADERS_PUB) $(DESTDIR)$(INCPATH) test: $(LIBNAME) demo/demo.o - $(CC) $(CFLAGS) demo/demo.o $(LIBNAME) -o test - -mtest: test - cd mtest ; $(CC) $(CFLAGS) mtest.c -o mtest - + $(CC) $(CFLAGS) demo/demo.o $(LIBNAME) $(LFLAGS) -o test + +test_standalone: $(LIBNAME) demo/demo.o + $(CC) $(CFLAGS) demo/demo.o $(LIBNAME) $(LFLAGS) -o test + +.PHONY: mtest +mtest: + cd mtest ; $(CC) $(CFLAGS) -O0 mtest.c $(LFLAGS) -o mtest + timing: $(LIBNAME) - $(CC) $(CFLAGS) -DTIMER demo/timing.c $(LIBNAME) -o ltmtest + $(CC) $(CFLAGS) -DTIMER demo/timing.c $(LIBNAME) $(LFLAGS) -o ltmtest + +coveralls: coverage + cpp-coveralls # makes the LTM book DVI file, requires tetex, perl and makeindex [part of tetex I think] docdvi: tommath.src - cd pics ; MAKE=${MAKE} ${MAKE} + cd pics ; MAKE=${MAKE} ${MAKE} echo "hello" > tommath.ind perl booker.pl latex tommath > /dev/null @@ -139,17 +114,37 @@ docdvi: tommath.src # poster, makes the single page PDF poster poster: poster.tex + cp poster.tex poster.bak + touch --reference=poster.tex poster.bak + (printf "%s" "\def\fixedpdfdate{"; date +'D:%Y%m%d%H%M%S%:z' -d @$$(stat --format=%Y poster.tex) | sed "s/:\([0-9][0-9]\)$$/'\1'}/g") > poster-deterministic.tex + printf "%s\n" "\pdfinfo{" >> poster-deterministic.tex + printf "%s\n" " /CreationDate (\fixedpdfdate)" >> poster-deterministic.tex + printf "%s\n}\n" " /ModDate (\fixedpdfdate)" >> poster-deterministic.tex + cat poster.tex >> poster-deterministic.tex + mv poster-deterministic.tex poster.tex + touch --reference=poster.bak poster.tex pdflatex poster - rm -f poster.aux poster.log + sed -b -i 's,^/ID \[.*\]$$,/ID [<0> <0>],g' poster.pdf + mv poster.bak poster.tex + rm -f poster.aux poster.log poster.out # makes the LTM book PDF file, requires tetex, cleans up the LaTeX temp files docs: docdvi dvipdf tommath rm -f tommath.log tommath.aux tommath.dvi tommath.idx tommath.toc tommath.lof tommath.ind tommath.ilg cd pics ; MAKE=${MAKE} ${MAKE} clean - + #LTM user manual mandvi: bn.tex + cp bn.tex bn.bak + touch --reference=bn.tex bn.bak + (printf "%s" "\def\fixedpdfdate{"; date +'D:%Y%m%d%H%M%S%:z' -d @$$(stat --format=%Y bn.tex) | sed "s/:\([0-9][0-9]\)$$/'\1'}/g") > bn-deterministic.tex + printf "%s\n" "\pdfinfo{" >> bn-deterministic.tex + printf "%s\n" " /CreationDate (\fixedpdfdate)" >> bn-deterministic.tex + printf "%s\n}\n" " /ModDate (\fixedpdfdate)" >> bn-deterministic.tex + cat bn.tex >> bn-deterministic.tex + mv bn-deterministic.tex bn.tex + touch --reference=bn.bak bn.tex echo "hello" > bn.ind latex bn > /dev/null latex bn > /dev/null @@ -159,28 +154,36 @@ mandvi: bn.tex #LTM user manual [pdf] manual: mandvi pdflatex bn >/dev/null + sed -b -i 's,^/ID \[.*\]$$,/ID [<0> <0>],g' bn.pdf + mv bn.bak bn.tex rm -f bn.aux bn.dvi bn.log bn.idx bn.lof bn.out bn.toc -pretty: +pretty: perl pretty.build -clean: - rm -f *.bat *.pdf *.o *.a *.obj *.lib *.exe *.dll etclib/*.o demo/demo.o test ltmtest mpitest mtest/mtest mtest/mtest.exe \ - *.idx *.toc *.log *.aux *.dvi *.lof *.ind *.ilg *.ps *.log *.s mpi.c *.da *.dyn *.dpi tommath.tex `find . -type f | grep [~] | xargs` *.lo *.la - rm -rf .libs - cd etc ; MAKE=${MAKE} ${MAKE} clean - cd pics ; MAKE=${MAKE} ${MAKE} clean - -#zipup the project (take that!) +#\zipup the project (take that!) no_oops: clean - cd .. ; cvs commit + cd .. ; cvs commit echo Scanning for scratch/dirty files find . -type f | grep -v CVS | xargs -n 1 bash mess.sh -zipup: clean manual poster docs - perl gen.pl ; mv mpi.c pre_gen/ ; \ - cd .. ; rm -rf ltm* libtommath-$(VERSION) ; mkdir libtommath-$(VERSION) ; \ - cp -R ./libtommath/* ./libtommath-$(VERSION)/ ; \ - tar -c libtommath-$(VERSION)/* | bzip2 -9vvc > ltm-$(VERSION).tar.bz2 ; \ - zip -9 -r ltm-$(VERSION).zip libtommath-$(VERSION)/* ; \ - mv -f ltm* ~ ; rm -rf libtommath-$(VERSION) +.PHONY: pre_gen +pre_gen: + perl gen.pl + sed -e 's/[[:blank:]]*$$//' mpi.c > pre_gen/mpi.c + rm mpi.c + +zipup: + rm -rf ../libtommath-$(VERSION) \ + && rm -f ../ltm-$(VERSION).zip ../ltm-$(VERSION).zip.asc ../ltm-$(VERSION).tar.xz ../ltm-$(VERSION).tar.xz.asc + git archive HEAD --prefix=libtommath-$(VERSION)/ > ../libtommath-$(VERSION).tar + cd .. ; tar xf libtommath-$(VERSION).tar + MAKE=${MAKE} ${MAKE} -C ../libtommath-$(VERSION) clean manual poster docs + tar -c ../libtommath-$(VERSION)/* | xz -9 > ../ltm-$(VERSION).tar.xz + find ../libtommath-$(VERSION)/ -type f -exec unix2dos -q {} \; + cd .. ; zip -9r ltm-$(VERSION).zip libtommath-$(VERSION) + gpg -b -a ../ltm-$(VERSION).tar.xz && gpg -b -a ../ltm-$(VERSION).zip + +new_file: + bash updatemakes.sh + perl dep.pl diff --git a/libtommath/makefile.bcc b/libtommath/makefile.bcc index 67743d9..a0cfd74 100644 --- a/libtommath/makefile.bcc +++ b/libtommath/makefile.bcc @@ -7,33 +7,35 @@ LIB = tlib CC = bcc32 CFLAGS = -c -O2 -I. -OBJECTS=bncore.obj bn_mp_init.obj bn_mp_clear.obj bn_mp_exch.obj bn_mp_grow.obj bn_mp_shrink.obj \ -bn_mp_clamp.obj bn_mp_zero.obj bn_mp_set.obj bn_mp_set_int.obj bn_mp_init_size.obj bn_mp_copy.obj \ -bn_mp_init_copy.obj bn_mp_abs.obj bn_mp_neg.obj bn_mp_cmp_mag.obj bn_mp_cmp.obj bn_mp_cmp_d.obj \ -bn_mp_rshd.obj bn_mp_lshd.obj bn_mp_mod_2d.obj bn_mp_div_2d.obj bn_mp_mul_2d.obj bn_mp_div_2.obj \ -bn_mp_mul_2.obj bn_s_mp_add.obj bn_s_mp_sub.obj bn_fast_s_mp_mul_digs.obj bn_s_mp_mul_digs.obj \ -bn_fast_s_mp_mul_high_digs.obj bn_s_mp_mul_high_digs.obj bn_fast_s_mp_sqr.obj bn_s_mp_sqr.obj \ -bn_mp_add.obj bn_mp_sub.obj bn_mp_karatsuba_mul.obj bn_mp_mul.obj bn_mp_karatsuba_sqr.obj \ -bn_mp_sqr.obj bn_mp_div.obj bn_mp_mod.obj bn_mp_add_d.obj bn_mp_sub_d.obj bn_mp_mul_d.obj \ -bn_mp_div_d.obj bn_mp_mod_d.obj bn_mp_expt_d.obj bn_mp_addmod.obj bn_mp_submod.obj \ -bn_mp_mulmod.obj bn_mp_sqrmod.obj bn_mp_gcd.obj bn_mp_lcm.obj bn_fast_mp_invmod.obj bn_mp_invmod.obj \ -bn_mp_reduce.obj bn_mp_montgomery_setup.obj bn_fast_mp_montgomery_reduce.obj bn_mp_montgomery_reduce.obj \ -bn_mp_exptmod_fast.obj bn_mp_exptmod.obj bn_mp_2expt.obj bn_mp_n_root.obj bn_mp_jacobi.obj bn_reverse.obj \ -bn_mp_count_bits.obj bn_mp_read_unsigned_bin.obj bn_mp_read_signed_bin.obj bn_mp_to_unsigned_bin.obj \ -bn_mp_to_signed_bin.obj bn_mp_unsigned_bin_size.obj bn_mp_signed_bin_size.obj \ -bn_mp_xor.obj bn_mp_and.obj bn_mp_or.obj bn_mp_rand.obj bn_mp_montgomery_calc_normalization.obj \ -bn_mp_prime_is_divisible.obj bn_prime_tab.obj bn_mp_prime_fermat.obj bn_mp_prime_miller_rabin.obj \ -bn_mp_prime_is_prime.obj bn_mp_prime_next_prime.obj bn_mp_dr_reduce.obj \ -bn_mp_dr_is_modulus.obj bn_mp_dr_setup.obj bn_mp_reduce_setup.obj \ -bn_mp_toom_mul.obj bn_mp_toom_sqr.obj bn_mp_div_3.obj bn_s_mp_exptmod.obj \ -bn_mp_reduce_2k.obj bn_mp_reduce_is_2k.obj bn_mp_reduce_2k_setup.obj \ -bn_mp_reduce_2k_l.obj bn_mp_reduce_is_2k_l.obj bn_mp_reduce_2k_setup_l.obj \ -bn_mp_radix_smap.obj bn_mp_read_radix.obj bn_mp_toradix.obj bn_mp_radix_size.obj \ -bn_mp_fread.obj bn_mp_fwrite.obj bn_mp_cnt_lsb.obj bn_error.obj \ -bn_mp_init_multi.obj bn_mp_clear_multi.obj bn_mp_exteuclid.obj bn_mp_toradix_n.obj \ -bn_mp_prime_random_ex.obj bn_mp_get_int.obj bn_mp_sqrt.obj bn_mp_is_square.obj \ -bn_mp_init_set.obj bn_mp_init_set_int.obj bn_mp_invmod_slow.obj bn_mp_prime_rabin_miller_trials.obj \ -bn_mp_to_signed_bin_n.obj bn_mp_to_unsigned_bin_n.obj +#START_INS +OBJECTS=bncore.obj bn_error.obj bn_fast_mp_invmod.obj bn_fast_mp_montgomery_reduce.obj bn_fast_s_mp_mul_digs.obj \ +bn_fast_s_mp_mul_high_digs.obj bn_fast_s_mp_sqr.obj bn_mp_2expt.obj bn_mp_abs.obj bn_mp_add.obj bn_mp_add_d.obj \ +bn_mp_addmod.obj bn_mp_and.obj bn_mp_clamp.obj bn_mp_clear.obj bn_mp_clear_multi.obj bn_mp_cmp.obj bn_mp_cmp_d.obj \ +bn_mp_cmp_mag.obj bn_mp_cnt_lsb.obj bn_mp_copy.obj bn_mp_count_bits.obj bn_mp_div_2.obj bn_mp_div_2d.obj bn_mp_div_3.obj \ +bn_mp_div.obj bn_mp_div_d.obj bn_mp_dr_is_modulus.obj bn_mp_dr_reduce.obj bn_mp_dr_setup.obj bn_mp_exch.obj \ +bn_mp_export.obj bn_mp_expt_d.obj bn_mp_expt_d_ex.obj bn_mp_exptmod.obj bn_mp_exptmod_fast.obj bn_mp_exteuclid.obj \ +bn_mp_fread.obj bn_mp_fwrite.obj bn_mp_gcd.obj bn_mp_get_int.obj bn_mp_get_long.obj bn_mp_get_long_long.obj \ +bn_mp_grow.obj bn_mp_import.obj bn_mp_init.obj bn_mp_init_copy.obj bn_mp_init_multi.obj bn_mp_init_set.obj \ +bn_mp_init_set_int.obj bn_mp_init_size.obj bn_mp_invmod.obj bn_mp_invmod_slow.obj bn_mp_is_square.obj \ +bn_mp_jacobi.obj bn_mp_karatsuba_mul.obj bn_mp_karatsuba_sqr.obj bn_mp_lcm.obj bn_mp_lshd.obj bn_mp_mod_2d.obj \ +bn_mp_mod.obj bn_mp_mod_d.obj bn_mp_montgomery_calc_normalization.obj bn_mp_montgomery_reduce.obj \ +bn_mp_montgomery_setup.obj bn_mp_mul_2.obj bn_mp_mul_2d.obj bn_mp_mul.obj bn_mp_mul_d.obj bn_mp_mulmod.obj bn_mp_neg.obj \ +bn_mp_n_root.obj bn_mp_n_root_ex.obj bn_mp_or.obj bn_mp_prime_fermat.obj bn_mp_prime_is_divisible.obj \ +bn_mp_prime_is_prime.obj bn_mp_prime_miller_rabin.obj bn_mp_prime_next_prime.obj \ +bn_mp_prime_rabin_miller_trials.obj bn_mp_prime_random_ex.obj bn_mp_radix_size.obj bn_mp_radix_smap.obj \ +bn_mp_rand.obj bn_mp_read_radix.obj bn_mp_read_signed_bin.obj bn_mp_read_unsigned_bin.obj bn_mp_reduce_2k.obj \ +bn_mp_reduce_2k_l.obj bn_mp_reduce_2k_setup.obj bn_mp_reduce_2k_setup_l.obj bn_mp_reduce.obj \ +bn_mp_reduce_is_2k.obj bn_mp_reduce_is_2k_l.obj bn_mp_reduce_setup.obj bn_mp_rshd.obj bn_mp_set.obj bn_mp_set_int.obj \ +bn_mp_set_long.obj bn_mp_set_long_long.obj bn_mp_shrink.obj bn_mp_signed_bin_size.obj bn_mp_sqr.obj bn_mp_sqrmod.obj \ +bn_mp_sqrt.obj bn_mp_sqrtmod_prime.obj bn_mp_sub.obj bn_mp_sub_d.obj bn_mp_submod.obj bn_mp_toom_mul.obj \ +bn_mp_toom_sqr.obj bn_mp_toradix.obj bn_mp_toradix_n.obj bn_mp_to_signed_bin.obj bn_mp_to_signed_bin_n.obj \ +bn_mp_to_unsigned_bin.obj bn_mp_to_unsigned_bin_n.obj bn_mp_unsigned_bin_size.obj bn_mp_xor.obj bn_mp_zero.obj \ +bn_prime_tab.obj bn_reverse.obj bn_s_mp_add.obj bn_s_mp_exptmod.obj bn_s_mp_mul_digs.obj bn_s_mp_mul_high_digs.obj \ +bn_s_mp_sqr.obj bn_s_mp_sub.obj + +#END_INS + +HEADERS=tommath.h tommath_class.h tommath_superclass.h TARGET = libtommath.lib diff --git a/libtommath/makefile.cygwin_dll b/libtommath/makefile.cygwin_dll index 85b10c7..6feb5b4 100644 --- a/libtommath/makefile.cygwin_dll +++ b/libtommath/makefile.cygwin_dll @@ -8,37 +8,39 @@ CFLAGS += -I./ -Wall -W -Wshadow -O3 -funroll-loops -mno-cygwin #x86 optimizations [should be valid for any GCC install though] -CFLAGS += -fomit-frame-pointer +CFLAGS += -fomit-frame-pointer default: windll -OBJECTS=bncore.o bn_mp_init.o bn_mp_clear.o bn_mp_exch.o bn_mp_grow.o bn_mp_shrink.o \ -bn_mp_clamp.o bn_mp_zero.o bn_mp_set.o bn_mp_set_int.o bn_mp_init_size.o bn_mp_copy.o \ -bn_mp_init_copy.o bn_mp_abs.o bn_mp_neg.o bn_mp_cmp_mag.o bn_mp_cmp.o bn_mp_cmp_d.o \ -bn_mp_rshd.o bn_mp_lshd.o bn_mp_mod_2d.o bn_mp_div_2d.o bn_mp_mul_2d.o bn_mp_div_2.o \ -bn_mp_mul_2.o bn_s_mp_add.o bn_s_mp_sub.o bn_fast_s_mp_mul_digs.o bn_s_mp_mul_digs.o \ -bn_fast_s_mp_mul_high_digs.o bn_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_s_mp_sqr.o \ -bn_mp_add.o bn_mp_sub.o bn_mp_karatsuba_mul.o bn_mp_mul.o bn_mp_karatsuba_sqr.o \ -bn_mp_sqr.o bn_mp_div.o bn_mp_mod.o bn_mp_add_d.o bn_mp_sub_d.o bn_mp_mul_d.o \ -bn_mp_div_d.o bn_mp_mod_d.o bn_mp_expt_d.o bn_mp_addmod.o bn_mp_submod.o \ -bn_mp_mulmod.o bn_mp_sqrmod.o bn_mp_gcd.o bn_mp_lcm.o bn_fast_mp_invmod.o bn_mp_invmod.o \ -bn_mp_reduce.o bn_mp_montgomery_setup.o bn_fast_mp_montgomery_reduce.o bn_mp_montgomery_reduce.o \ -bn_mp_exptmod_fast.o bn_mp_exptmod.o bn_mp_2expt.o bn_mp_n_root.o bn_mp_jacobi.o bn_reverse.o \ -bn_mp_count_bits.o bn_mp_read_unsigned_bin.o bn_mp_read_signed_bin.o bn_mp_to_unsigned_bin.o \ -bn_mp_to_signed_bin.o bn_mp_unsigned_bin_size.o bn_mp_signed_bin_size.o \ -bn_mp_xor.o bn_mp_and.o bn_mp_or.o bn_mp_rand.o bn_mp_montgomery_calc_normalization.o \ -bn_mp_prime_is_divisible.o bn_prime_tab.o bn_mp_prime_fermat.o bn_mp_prime_miller_rabin.o \ -bn_mp_prime_is_prime.o bn_mp_prime_next_prime.o bn_mp_dr_reduce.o \ -bn_mp_dr_is_modulus.o bn_mp_dr_setup.o bn_mp_reduce_setup.o \ -bn_mp_toom_mul.o bn_mp_toom_sqr.o bn_mp_div_3.o bn_s_mp_exptmod.o \ -bn_mp_reduce_2k.o bn_mp_reduce_is_2k.o bn_mp_reduce_2k_setup.o \ -bn_mp_reduce_2k_l.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_2k_setup_l.o \ -bn_mp_radix_smap.o bn_mp_read_radix.o bn_mp_toradix.o bn_mp_radix_size.o \ -bn_mp_fread.o bn_mp_fwrite.o bn_mp_cnt_lsb.o bn_error.o \ -bn_mp_init_multi.o bn_mp_clear_multi.o bn_mp_exteuclid.o bn_mp_toradix_n.o \ -bn_mp_prime_random_ex.o bn_mp_get_int.o bn_mp_sqrt.o bn_mp_is_square.o bn_mp_init_set.o \ -bn_mp_init_set_int.o bn_mp_invmod_slow.o bn_mp_prime_rabin_miller_trials.o \ -bn_mp_to_signed_bin_n.o bn_mp_to_unsigned_bin_n.o +#START_INS +OBJECTS=bncore.o bn_error.o bn_fast_mp_invmod.o bn_fast_mp_montgomery_reduce.o bn_fast_s_mp_mul_digs.o \ +bn_fast_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_mp_2expt.o bn_mp_abs.o bn_mp_add.o bn_mp_add_d.o \ +bn_mp_addmod.o bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp_cmp.o bn_mp_cmp_d.o \ +bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o \ +bn_mp_div.o bn_mp_div_d.o bn_mp_dr_is_modulus.o bn_mp_dr_reduce.o bn_mp_dr_setup.o bn_mp_exch.o \ +bn_mp_export.o bn_mp_expt_d.o bn_mp_expt_d_ex.o bn_mp_exptmod.o bn_mp_exptmod_fast.o bn_mp_exteuclid.o \ +bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_int.o bn_mp_get_long.o bn_mp_get_long_long.o \ +bn_mp_grow.o bn_mp_import.o bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o \ +bn_mp_init_set_int.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_invmod_slow.o bn_mp_is_square.o \ +bn_mp_jacobi.o bn_mp_karatsuba_mul.o bn_mp_karatsuba_sqr.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod_2d.o \ +bn_mp_mod.o bn_mp_mod_d.o bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o \ +bn_mp_montgomery_setup.o bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_neg.o \ +bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_is_divisible.o \ +bn_mp_prime_is_prime.o bn_mp_prime_miller_rabin.o bn_mp_prime_next_prime.o \ +bn_mp_prime_rabin_miller_trials.o bn_mp_prime_random_ex.o bn_mp_radix_size.o bn_mp_radix_smap.o \ +bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o bn_mp_read_unsigned_bin.o bn_mp_reduce_2k.o \ +bn_mp_reduce_2k_l.o bn_mp_reduce_2k_setup.o bn_mp_reduce_2k_setup_l.o bn_mp_reduce.o \ +bn_mp_reduce_is_2k.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_setup.o bn_mp_rshd.o bn_mp_set.o bn_mp_set_int.o \ +bn_mp_set_long.o bn_mp_set_long_long.o bn_mp_shrink.o bn_mp_signed_bin_size.o bn_mp_sqr.o bn_mp_sqrmod.o \ +bn_mp_sqrt.o bn_mp_sqrtmod_prime.o bn_mp_sub.o bn_mp_sub_d.o bn_mp_submod.o bn_mp_toom_mul.o \ +bn_mp_toom_sqr.o bn_mp_toradix.o bn_mp_toradix_n.o bn_mp_to_signed_bin.o bn_mp_to_signed_bin_n.o \ +bn_mp_to_unsigned_bin.o bn_mp_to_unsigned_bin_n.o bn_mp_unsigned_bin_size.o bn_mp_xor.o bn_mp_zero.o \ +bn_prime_tab.o bn_reverse.o bn_s_mp_add.o bn_s_mp_exptmod.o bn_s_mp_mul_digs.o bn_s_mp_mul_high_digs.o \ +bn_s_mp_sqr.o bn_s_mp_sub.o + +#END_INS + +HEADERS=tommath.h tommath_class.h tommath_superclass.h # make a Windows DLL via Cygwin windll: $(OBJECTS) @@ -49,3 +51,7 @@ windll: $(OBJECTS) test: $(OBJECTS) windll gcc $(CFLAGS) demo/demo.c libtommath.dll.a -Wl,--enable-auto-import -o test -s cd mtest ; $(CC) -O3 -fomit-frame-pointer -funroll-loops mtest.c -o mtest -s + +/* $Source: /cvs/libtom/libtommath/makefile.cygwin_dll,v $ */ +/* $Revision: 1.2 $ */ +/* $Date: 2005/05/05 14:38:45 $ */ diff --git a/libtommath/makefile.icc b/libtommath/makefile.icc index cf70ab0..1563802 100644 --- a/libtommath/makefile.icc +++ b/libtommath/makefile.icc @@ -11,7 +11,7 @@ CFLAGS += -I./ # -ax? specifies make code specifically for ? but compatible with IA-32 # -x? specifies compile solely for ? [not specifically IA-32 compatible] # -# where ? is +# where ? is # K - PIII # W - first P4 [Williamette] # N - P4 Northwood @@ -29,7 +29,6 @@ default: libtommath.a #default files to install LIBNAME=libtommath.a -HEADERS=tommath.h #LIBPATH-The directory for libtomcrypt to be installed to. #INCPATH-The directory to install the header files for libtommath. @@ -39,33 +38,35 @@ LIBPATH=/usr/lib INCPATH=/usr/include DATAPATH=/usr/share/doc/libtommath/pdf -OBJECTS=bncore.o bn_mp_init.o bn_mp_clear.o bn_mp_exch.o bn_mp_grow.o bn_mp_shrink.o \ -bn_mp_clamp.o bn_mp_zero.o bn_mp_set.o bn_mp_set_int.o bn_mp_init_size.o bn_mp_copy.o \ -bn_mp_init_copy.o bn_mp_abs.o bn_mp_neg.o bn_mp_cmp_mag.o bn_mp_cmp.o bn_mp_cmp_d.o \ -bn_mp_rshd.o bn_mp_lshd.o bn_mp_mod_2d.o bn_mp_div_2d.o bn_mp_mul_2d.o bn_mp_div_2.o \ -bn_mp_mul_2.o bn_s_mp_add.o bn_s_mp_sub.o bn_fast_s_mp_mul_digs.o bn_s_mp_mul_digs.o \ -bn_fast_s_mp_mul_high_digs.o bn_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_s_mp_sqr.o \ -bn_mp_add.o bn_mp_sub.o bn_mp_karatsuba_mul.o bn_mp_mul.o bn_mp_karatsuba_sqr.o \ -bn_mp_sqr.o bn_mp_div.o bn_mp_mod.o bn_mp_add_d.o bn_mp_sub_d.o bn_mp_mul_d.o \ -bn_mp_div_d.o bn_mp_mod_d.o bn_mp_expt_d.o bn_mp_addmod.o bn_mp_submod.o \ -bn_mp_mulmod.o bn_mp_sqrmod.o bn_mp_gcd.o bn_mp_lcm.o bn_fast_mp_invmod.o bn_mp_invmod.o \ -bn_mp_reduce.o bn_mp_montgomery_setup.o bn_fast_mp_montgomery_reduce.o bn_mp_montgomery_reduce.o \ -bn_mp_exptmod_fast.o bn_mp_exptmod.o bn_mp_2expt.o bn_mp_n_root.o bn_mp_jacobi.o bn_reverse.o \ -bn_mp_count_bits.o bn_mp_read_unsigned_bin.o bn_mp_read_signed_bin.o bn_mp_to_unsigned_bin.o \ -bn_mp_to_signed_bin.o bn_mp_unsigned_bin_size.o bn_mp_signed_bin_size.o \ -bn_mp_xor.o bn_mp_and.o bn_mp_or.o bn_mp_rand.o bn_mp_montgomery_calc_normalization.o \ -bn_mp_prime_is_divisible.o bn_prime_tab.o bn_mp_prime_fermat.o bn_mp_prime_miller_rabin.o \ -bn_mp_prime_is_prime.o bn_mp_prime_next_prime.o bn_mp_dr_reduce.o \ -bn_mp_dr_is_modulus.o bn_mp_dr_setup.o bn_mp_reduce_setup.o \ -bn_mp_toom_mul.o bn_mp_toom_sqr.o bn_mp_div_3.o bn_s_mp_exptmod.o \ -bn_mp_reduce_2k.o bn_mp_reduce_is_2k.o bn_mp_reduce_2k_setup.o \ -bn_mp_reduce_2k_l.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_2k_setup_l.o \ -bn_mp_radix_smap.o bn_mp_read_radix.o bn_mp_toradix.o bn_mp_radix_size.o \ -bn_mp_fread.o bn_mp_fwrite.o bn_mp_cnt_lsb.o bn_error.o \ -bn_mp_init_multi.o bn_mp_clear_multi.o bn_mp_exteuclid.o bn_mp_toradix_n.o \ -bn_mp_prime_random_ex.o bn_mp_get_int.o bn_mp_sqrt.o bn_mp_is_square.o bn_mp_init_set.o \ -bn_mp_init_set_int.o bn_mp_invmod_slow.o bn_mp_prime_rabin_miller_trials.o \ -bn_mp_to_signed_bin_n.o bn_mp_to_unsigned_bin_n.o +#START_INS +OBJECTS=bncore.o bn_error.o bn_fast_mp_invmod.o bn_fast_mp_montgomery_reduce.o bn_fast_s_mp_mul_digs.o \ +bn_fast_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_mp_2expt.o bn_mp_abs.o bn_mp_add.o bn_mp_add_d.o \ +bn_mp_addmod.o bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp_cmp.o bn_mp_cmp_d.o \ +bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o \ +bn_mp_div.o bn_mp_div_d.o bn_mp_dr_is_modulus.o bn_mp_dr_reduce.o bn_mp_dr_setup.o bn_mp_exch.o \ +bn_mp_export.o bn_mp_expt_d.o bn_mp_expt_d_ex.o bn_mp_exptmod.o bn_mp_exptmod_fast.o bn_mp_exteuclid.o \ +bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_int.o bn_mp_get_long.o bn_mp_get_long_long.o \ +bn_mp_grow.o bn_mp_import.o bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o \ +bn_mp_init_set_int.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_invmod_slow.o bn_mp_is_square.o \ +bn_mp_jacobi.o bn_mp_karatsuba_mul.o bn_mp_karatsuba_sqr.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod_2d.o \ +bn_mp_mod.o bn_mp_mod_d.o bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o \ +bn_mp_montgomery_setup.o bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_neg.o \ +bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_is_divisible.o \ +bn_mp_prime_is_prime.o bn_mp_prime_miller_rabin.o bn_mp_prime_next_prime.o \ +bn_mp_prime_rabin_miller_trials.o bn_mp_prime_random_ex.o bn_mp_radix_size.o bn_mp_radix_smap.o \ +bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o bn_mp_read_unsigned_bin.o bn_mp_reduce_2k.o \ +bn_mp_reduce_2k_l.o bn_mp_reduce_2k_setup.o bn_mp_reduce_2k_setup_l.o bn_mp_reduce.o \ +bn_mp_reduce_is_2k.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_setup.o bn_mp_rshd.o bn_mp_set.o bn_mp_set_int.o \ +bn_mp_set_long.o bn_mp_set_long_long.o bn_mp_shrink.o bn_mp_signed_bin_size.o bn_mp_sqr.o bn_mp_sqrmod.o \ +bn_mp_sqrt.o bn_mp_sqrtmod_prime.o bn_mp_sub.o bn_mp_sub_d.o bn_mp_submod.o bn_mp_toom_mul.o \ +bn_mp_toom_sqr.o bn_mp_toradix.o bn_mp_toradix_n.o bn_mp_to_signed_bin.o bn_mp_to_signed_bin_n.o \ +bn_mp_to_unsigned_bin.o bn_mp_to_unsigned_bin_n.o bn_mp_unsigned_bin_size.o bn_mp_xor.o bn_mp_zero.o \ +bn_prime_tab.o bn_reverse.o bn_s_mp_add.o bn_s_mp_exptmod.o bn_s_mp_mul_digs.o bn_s_mp_mul_high_digs.o \ +bn_s_mp_sqr.o bn_s_mp_sub.o + +#END_INS + +HEADERS=tommath.h tommath_class.h tommath_superclass.h libtommath.a: $(OBJECTS) $(AR) $(ARFLAGS) libtommath.a $(OBJECTS) @@ -75,7 +76,7 @@ libtommath.a: $(OBJECTS) # # This will build the library with profile generation # then run the test demo and rebuild the library. -# +# # So far I've seen improvements in the MP math profiled: make -f makefile.icc CFLAGS="$(CFLAGS) -prof_gen -DTESTING" timing @@ -83,7 +84,7 @@ profiled: rm -f *.a *.o ltmtest make -f makefile.icc CFLAGS="$(CFLAGS) -prof_use" -#make a single object profiled library +#make a single object profiled library profiled_single: perl gen.pl $(CC) $(CFLAGS) -prof_gen -DTESTING -c mpi.c -o mpi.o @@ -92,7 +93,7 @@ profiled_single: rm -f *.o ltmtest $(CC) $(CFLAGS) -prof_use -ip -DTESTING -c mpi.c -o mpi.o $(AR) $(ARFLAGS) libtommath.a mpi.o - ranlib libtommath.a + ranlib libtommath.a install: libtommath.a install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(LIBPATH) @@ -102,10 +103,10 @@ install: libtommath.a test: libtommath.a demo/demo.o $(CC) demo/demo.o libtommath.a -o test - -mtest: test + +mtest: test cd mtest ; $(CC) $(CFLAGS) mtest.c -o mtest - + timing: libtommath.a $(CC) $(CFLAGS) -DTIMER demo/timing.c libtommath.a -o ltmtest diff --git a/libtommath/makefile.msvc b/libtommath/makefile.msvc index 5edebec..a47aadd 100644 --- a/libtommath/makefile.msvc +++ b/libtommath/makefile.msvc @@ -6,33 +6,33 @@ CFLAGS = /I. /Ox /DWIN32 /W3 /Fo$@ default: library -OBJECTS=bncore.obj bn_mp_init.obj bn_mp_clear.obj bn_mp_exch.obj bn_mp_grow.obj bn_mp_shrink.obj \ -bn_mp_clamp.obj bn_mp_zero.obj bn_mp_set.obj bn_mp_set_int.obj bn_mp_init_size.obj bn_mp_copy.obj \ -bn_mp_init_copy.obj bn_mp_abs.obj bn_mp_neg.obj bn_mp_cmp_mag.obj bn_mp_cmp.obj bn_mp_cmp_d.obj \ -bn_mp_rshd.obj bn_mp_lshd.obj bn_mp_mod_2d.obj bn_mp_div_2d.obj bn_mp_mul_2d.obj bn_mp_div_2.obj \ -bn_mp_mul_2.obj bn_s_mp_add.obj bn_s_mp_sub.obj bn_fast_s_mp_mul_digs.obj bn_s_mp_mul_digs.obj \ -bn_fast_s_mp_mul_high_digs.obj bn_s_mp_mul_high_digs.obj bn_fast_s_mp_sqr.obj bn_s_mp_sqr.obj \ -bn_mp_add.obj bn_mp_sub.obj bn_mp_karatsuba_mul.obj bn_mp_mul.obj bn_mp_karatsuba_sqr.obj \ -bn_mp_sqr.obj bn_mp_div.obj bn_mp_mod.obj bn_mp_add_d.obj bn_mp_sub_d.obj bn_mp_mul_d.obj \ -bn_mp_div_d.obj bn_mp_mod_d.obj bn_mp_expt_d.obj bn_mp_addmod.obj bn_mp_submod.obj \ -bn_mp_mulmod.obj bn_mp_sqrmod.obj bn_mp_gcd.obj bn_mp_lcm.obj bn_fast_mp_invmod.obj bn_mp_invmod.obj \ -bn_mp_reduce.obj bn_mp_montgomery_setup.obj bn_fast_mp_montgomery_reduce.obj bn_mp_montgomery_reduce.obj \ -bn_mp_exptmod_fast.obj bn_mp_exptmod.obj bn_mp_2expt.obj bn_mp_n_root.obj bn_mp_jacobi.obj bn_reverse.obj \ -bn_mp_count_bits.obj bn_mp_read_unsigned_bin.obj bn_mp_read_signed_bin.obj bn_mp_to_unsigned_bin.obj \ -bn_mp_to_signed_bin.obj bn_mp_unsigned_bin_size.obj bn_mp_signed_bin_size.obj \ -bn_mp_xor.obj bn_mp_and.obj bn_mp_or.obj bn_mp_rand.obj bn_mp_montgomery_calc_normalization.obj \ -bn_mp_prime_is_divisible.obj bn_prime_tab.obj bn_mp_prime_fermat.obj bn_mp_prime_miller_rabin.obj \ -bn_mp_prime_is_prime.obj bn_mp_prime_next_prime.obj bn_mp_dr_reduce.obj \ -bn_mp_dr_is_modulus.obj bn_mp_dr_setup.obj bn_mp_reduce_setup.obj \ -bn_mp_toom_mul.obj bn_mp_toom_sqr.obj bn_mp_div_3.obj bn_s_mp_exptmod.obj \ -bn_mp_reduce_2k.obj bn_mp_reduce_is_2k.obj bn_mp_reduce_2k_setup.obj \ -bn_mp_reduce_2k_l.obj bn_mp_reduce_is_2k_l.obj bn_mp_reduce_2k_setup_l.obj \ -bn_mp_radix_smap.obj bn_mp_read_radix.obj bn_mp_toradix.obj bn_mp_radix_size.obj \ -bn_mp_fread.obj bn_mp_fwrite.obj bn_mp_cnt_lsb.obj bn_error.obj \ -bn_mp_init_multi.obj bn_mp_clear_multi.obj bn_mp_exteuclid.obj bn_mp_toradix_n.obj \ -bn_mp_prime_random_ex.obj bn_mp_get_int.obj bn_mp_sqrt.obj bn_mp_is_square.obj \ -bn_mp_init_set.obj bn_mp_init_set_int.obj bn_mp_invmod_slow.obj bn_mp_prime_rabin_miller_trials.obj \ -bn_mp_to_signed_bin_n.obj bn_mp_to_unsigned_bin_n.obj +#START_INS +OBJECTS=bncore.obj bn_error.obj bn_fast_mp_invmod.obj bn_fast_mp_montgomery_reduce.obj bn_fast_s_mp_mul_digs.obj \ +bn_fast_s_mp_mul_high_digs.obj bn_fast_s_mp_sqr.obj bn_mp_2expt.obj bn_mp_abs.obj bn_mp_add.obj bn_mp_add_d.obj \ +bn_mp_addmod.obj bn_mp_and.obj bn_mp_clamp.obj bn_mp_clear.obj bn_mp_clear_multi.obj bn_mp_cmp.obj bn_mp_cmp_d.obj \ +bn_mp_cmp_mag.obj bn_mp_cnt_lsb.obj bn_mp_copy.obj bn_mp_count_bits.obj bn_mp_div_2.obj bn_mp_div_2d.obj bn_mp_div_3.obj \ +bn_mp_div.obj bn_mp_div_d.obj bn_mp_dr_is_modulus.obj bn_mp_dr_reduce.obj bn_mp_dr_setup.obj bn_mp_exch.obj \ +bn_mp_export.obj bn_mp_expt_d.obj bn_mp_expt_d_ex.obj bn_mp_exptmod.obj bn_mp_exptmod_fast.obj bn_mp_exteuclid.obj \ +bn_mp_fread.obj bn_mp_fwrite.obj bn_mp_gcd.obj bn_mp_get_int.obj bn_mp_get_long.obj bn_mp_get_long_long.obj \ +bn_mp_grow.obj bn_mp_import.obj bn_mp_init.obj bn_mp_init_copy.obj bn_mp_init_multi.obj bn_mp_init_set.obj \ +bn_mp_init_set_int.obj bn_mp_init_size.obj bn_mp_invmod.obj bn_mp_invmod_slow.obj bn_mp_is_square.obj \ +bn_mp_jacobi.obj bn_mp_karatsuba_mul.obj bn_mp_karatsuba_sqr.obj bn_mp_lcm.obj bn_mp_lshd.obj bn_mp_mod_2d.obj \ +bn_mp_mod.obj bn_mp_mod_d.obj bn_mp_montgomery_calc_normalization.obj bn_mp_montgomery_reduce.obj \ +bn_mp_montgomery_setup.obj bn_mp_mul_2.obj bn_mp_mul_2d.obj bn_mp_mul.obj bn_mp_mul_d.obj bn_mp_mulmod.obj bn_mp_neg.obj \ +bn_mp_n_root.obj bn_mp_n_root_ex.obj bn_mp_or.obj bn_mp_prime_fermat.obj bn_mp_prime_is_divisible.obj \ +bn_mp_prime_is_prime.obj bn_mp_prime_miller_rabin.obj bn_mp_prime_next_prime.obj \ +bn_mp_prime_rabin_miller_trials.obj bn_mp_prime_random_ex.obj bn_mp_radix_size.obj bn_mp_radix_smap.obj \ +bn_mp_rand.obj bn_mp_read_radix.obj bn_mp_read_signed_bin.obj bn_mp_read_unsigned_bin.obj bn_mp_reduce_2k.obj \ +bn_mp_reduce_2k_l.obj bn_mp_reduce_2k_setup.obj bn_mp_reduce_2k_setup_l.obj bn_mp_reduce.obj \ +bn_mp_reduce_is_2k.obj bn_mp_reduce_is_2k_l.obj bn_mp_reduce_setup.obj bn_mp_rshd.obj bn_mp_set.obj bn_mp_set_int.obj \ +bn_mp_set_long.obj bn_mp_set_long_long.obj bn_mp_shrink.obj bn_mp_signed_bin_size.obj bn_mp_sqr.obj bn_mp_sqrmod.obj \ +bn_mp_sqrt.obj bn_mp_sqrtmod_prime.obj bn_mp_sub.obj bn_mp_sub_d.obj bn_mp_submod.obj bn_mp_toom_mul.obj \ +bn_mp_toom_sqr.obj bn_mp_toradix.obj bn_mp_toradix_n.obj bn_mp_to_signed_bin.obj bn_mp_to_signed_bin_n.obj \ +bn_mp_to_unsigned_bin.obj bn_mp_to_unsigned_bin_n.obj bn_mp_unsigned_bin_size.obj bn_mp_xor.obj bn_mp_zero.obj \ +bn_prime_tab.obj bn_reverse.obj bn_s_mp_add.obj bn_s_mp_exptmod.obj bn_s_mp_mul_digs.obj bn_s_mp_mul_high_digs.obj \ +bn_s_mp_sqr.obj bn_s_mp_sub.obj + +#END_INS HEADERS=tommath.h tommath_class.h tommath_superclass.h diff --git a/libtommath/makefile.shared b/libtommath/makefile.shared index f17bbbd..559720e 100644 --- a/libtommath/makefile.shared +++ b/libtommath/makefile.shared @@ -1,102 +1,71 @@ #Makefile for GCC # #Tom St Denis -VERSION=0:41 - -CC = libtool --mode=compile --tag=CC gcc - -CFLAGS += -I./ -Wall -W -Wshadow -Wsign-compare - -ifndef IGNORE_SPEED - -#for speed -CFLAGS += -O3 -funroll-loops - -#for size -#CFLAGS += -Os - -#x86 optimizations [should be valid for any GCC install though] -CFLAGS += -fomit-frame-pointer - -endif - -#install as this user -ifndef INSTALL_GROUP - GROUP=wheel -else - GROUP=$(INSTALL_GROUP) -endif - -ifndef INSTALL_USER - USER=root -else - USER=$(INSTALL_USER) -endif - -default: libtommath.la #default files to install ifndef LIBNAME LIBNAME=libtommath.la endif -ifndef LIBNAME_S - LIBNAME_S=libtommath.a -endif -HEADERS=tommath.h tommath_class.h tommath_superclass.h - -#LIBPATH-The directory for libtommath to be installed to. -#INCPATH-The directory to install the header files for libtommath. -#DATAPATH-The directory to install the pdf docs. -DESTDIR= -LIBPATH=/usr/lib -INCPATH=/usr/include -DATAPATH=/usr/share/doc/libtommath/pdf -OBJECTS=bncore.o bn_mp_init.o bn_mp_clear.o bn_mp_exch.o bn_mp_grow.o bn_mp_shrink.o \ -bn_mp_clamp.o bn_mp_zero.o bn_mp_set.o bn_mp_set_int.o bn_mp_init_size.o bn_mp_copy.o \ -bn_mp_init_copy.o bn_mp_abs.o bn_mp_neg.o bn_mp_cmp_mag.o bn_mp_cmp.o bn_mp_cmp_d.o \ -bn_mp_rshd.o bn_mp_lshd.o bn_mp_mod_2d.o bn_mp_div_2d.o bn_mp_mul_2d.o bn_mp_div_2.o \ -bn_mp_mul_2.o bn_s_mp_add.o bn_s_mp_sub.o bn_fast_s_mp_mul_digs.o bn_s_mp_mul_digs.o \ -bn_fast_s_mp_mul_high_digs.o bn_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_s_mp_sqr.o \ -bn_mp_add.o bn_mp_sub.o bn_mp_karatsuba_mul.o bn_mp_mul.o bn_mp_karatsuba_sqr.o \ -bn_mp_sqr.o bn_mp_div.o bn_mp_mod.o bn_mp_add_d.o bn_mp_sub_d.o bn_mp_mul_d.o \ -bn_mp_div_d.o bn_mp_mod_d.o bn_mp_expt_d.o bn_mp_addmod.o bn_mp_submod.o \ -bn_mp_mulmod.o bn_mp_sqrmod.o bn_mp_gcd.o bn_mp_lcm.o bn_fast_mp_invmod.o bn_mp_invmod.o \ -bn_mp_reduce.o bn_mp_montgomery_setup.o bn_fast_mp_montgomery_reduce.o bn_mp_montgomery_reduce.o \ -bn_mp_exptmod_fast.o bn_mp_exptmod.o bn_mp_2expt.o bn_mp_n_root.o bn_mp_jacobi.o bn_reverse.o \ -bn_mp_count_bits.o bn_mp_read_unsigned_bin.o bn_mp_read_signed_bin.o bn_mp_to_unsigned_bin.o \ -bn_mp_to_signed_bin.o bn_mp_unsigned_bin_size.o bn_mp_signed_bin_size.o \ -bn_mp_xor.o bn_mp_and.o bn_mp_or.o bn_mp_rand.o bn_mp_montgomery_calc_normalization.o \ -bn_mp_prime_is_divisible.o bn_prime_tab.o bn_mp_prime_fermat.o bn_mp_prime_miller_rabin.o \ -bn_mp_prime_is_prime.o bn_mp_prime_next_prime.o bn_mp_dr_reduce.o \ -bn_mp_dr_is_modulus.o bn_mp_dr_setup.o bn_mp_reduce_setup.o \ -bn_mp_toom_mul.o bn_mp_toom_sqr.o bn_mp_div_3.o bn_s_mp_exptmod.o \ -bn_mp_reduce_2k.o bn_mp_reduce_is_2k.o bn_mp_reduce_2k_setup.o \ -bn_mp_reduce_2k_l.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_2k_setup_l.o \ -bn_mp_radix_smap.o bn_mp_read_radix.o bn_mp_toradix.o bn_mp_radix_size.o \ -bn_mp_fread.o bn_mp_fwrite.o bn_mp_cnt_lsb.o bn_error.o \ -bn_mp_init_multi.o bn_mp_clear_multi.o bn_mp_exteuclid.o bn_mp_toradix_n.o \ -bn_mp_prime_random_ex.o bn_mp_get_int.o bn_mp_sqrt.o bn_mp_is_square.o bn_mp_init_set.o \ -bn_mp_init_set_int.o bn_mp_invmod_slow.o bn_mp_prime_rabin_miller_trials.o \ -bn_mp_to_signed_bin_n.o bn_mp_to_unsigned_bin_n.o +include makefile.include + +LT ?= libtool +LTCOMPILE = $(LT) --mode=compile --tag=CC $(CC) + +LCOV_ARGS=--directory .libs --directory . + +#START_INS +OBJECTS=bncore.o bn_error.o bn_fast_mp_invmod.o bn_fast_mp_montgomery_reduce.o bn_fast_s_mp_mul_digs.o \ +bn_fast_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_mp_2expt.o bn_mp_abs.o bn_mp_add.o bn_mp_add_d.o \ +bn_mp_addmod.o bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp_cmp.o bn_mp_cmp_d.o \ +bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o \ +bn_mp_div.o bn_mp_div_d.o bn_mp_dr_is_modulus.o bn_mp_dr_reduce.o bn_mp_dr_setup.o bn_mp_exch.o \ +bn_mp_export.o bn_mp_expt_d.o bn_mp_expt_d_ex.o bn_mp_exptmod.o bn_mp_exptmod_fast.o bn_mp_exteuclid.o \ +bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_int.o bn_mp_get_long.o bn_mp_get_long_long.o \ +bn_mp_grow.o bn_mp_import.o bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o \ +bn_mp_init_set_int.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_invmod_slow.o bn_mp_is_square.o \ +bn_mp_jacobi.o bn_mp_karatsuba_mul.o bn_mp_karatsuba_sqr.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod_2d.o \ +bn_mp_mod.o bn_mp_mod_d.o bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o \ +bn_mp_montgomery_setup.o bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_neg.o \ +bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_is_divisible.o \ +bn_mp_prime_is_prime.o bn_mp_prime_miller_rabin.o bn_mp_prime_next_prime.o \ +bn_mp_prime_rabin_miller_trials.o bn_mp_prime_random_ex.o bn_mp_radix_size.o bn_mp_radix_smap.o \ +bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o bn_mp_read_unsigned_bin.o bn_mp_reduce_2k.o \ +bn_mp_reduce_2k_l.o bn_mp_reduce_2k_setup.o bn_mp_reduce_2k_setup_l.o bn_mp_reduce.o \ +bn_mp_reduce_is_2k.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_setup.o bn_mp_rshd.o bn_mp_set.o bn_mp_set_int.o \ +bn_mp_set_long.o bn_mp_set_long_long.o bn_mp_shrink.o bn_mp_signed_bin_size.o bn_mp_sqr.o bn_mp_sqrmod.o \ +bn_mp_sqrt.o bn_mp_sqrtmod_prime.o bn_mp_sub.o bn_mp_sub_d.o bn_mp_submod.o bn_mp_toom_mul.o \ +bn_mp_toom_sqr.o bn_mp_toradix.o bn_mp_toradix_n.o bn_mp_to_signed_bin.o bn_mp_to_signed_bin_n.o \ +bn_mp_to_unsigned_bin.o bn_mp_to_unsigned_bin_n.o bn_mp_unsigned_bin_size.o bn_mp_xor.o bn_mp_zero.o \ +bn_prime_tab.o bn_reverse.o bn_s_mp_add.o bn_s_mp_exptmod.o bn_s_mp_mul_digs.o bn_s_mp_mul_high_digs.o \ +bn_s_mp_sqr.o bn_s_mp_sub.o + +#END_INS objs: $(OBJECTS) +.c.o: + $(LTCOMPILE) $(CFLAGS) $(LDFLAGS) -o $@ -c $< + $(LIBNAME): $(OBJECTS) - libtool --mode=link gcc *.lo -o $(LIBNAME) -rpath $(LIBPATH) -version-info $(VERSION) + $(LT) --mode=link --tag=CC $(CC) $(LDFLAGS) *.lo -o $(LIBNAME) -rpath $(LIBPATH) -version-info $(VERSION_SO) install: $(LIBNAME) - install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(LIBPATH) - libtool --mode=install install -c $(LIBNAME) $(DESTDIR)$(LIBPATH)/$(LIBNAME) - install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(INCPATH) - install -g $(GROUP) -o $(USER) $(HEADERS) $(DESTDIR)$(INCPATH) + install -d $(DESTDIR)$(LIBPATH) + install -d $(DESTDIR)$(INCPATH) + $(LT) --mode=install install -c $(LIBNAME) $(DESTDIR)$(LIBPATH)/$(LIBNAME) + install -m 644 $(HEADERS_PUB) $(DESTDIR)$(INCPATH) test: $(LIBNAME) demo/demo.o - gcc $(CFLAGS) -c demo/demo.c -o demo/demo.o - libtool --mode=link gcc -o test demo/demo.o $(LIBNAME_S) - -mtest: test - cd mtest ; gcc $(CFLAGS) mtest.c -o mtest - + $(CC) $(CFLAGS) -c demo/demo.c -o demo/demo.o + $(LT) --mode=link $(CC) $(LDFLAGS) -o test demo/demo.o $(LIBNAME) + +test_standalone: $(LIBNAME) demo/demo.o + $(CC) $(CFLAGS) -c demo/demo.c -o demo/demo.o + $(LT) --mode=link $(CC) $(LDFLAGS) -o test demo/demo.o $(LIBNAME) + +mtest: + cd mtest ; $(CC) $(CFLAGS) $(LDFLAGS) mtest.c -o mtest + timing: $(LIBNAME) - gcc $(CFLAGS) -DTIMER demo/timing.c $(LIBNAME_S) -o ltmtest + $(LT) --mode=link $(CC) $(CFLAGS) $(LDFLAGS) -DTIMER demo/timing.c $(LIBNAME) -o ltmtest diff --git a/libtommath/mtest/logtab.h b/libtommath/mtest/logtab.h deleted file mode 100644 index addd3ab..0000000 --- a/libtommath/mtest/logtab.h +++ /dev/null @@ -1,19 +0,0 @@ -const float s_logv_2[] = { - 0.000000000, 0.000000000, 1.000000000, 0.630929754, /* 0 1 2 3 */ - 0.500000000, 0.430676558, 0.386852807, 0.356207187, /* 4 5 6 7 */ - 0.333333333, 0.315464877, 0.301029996, 0.289064826, /* 8 9 10 11 */ - 0.278942946, 0.270238154, 0.262649535, 0.255958025, /* 12 13 14 15 */ - 0.250000000, 0.244650542, 0.239812467, 0.235408913, /* 16 17 18 19 */ - 0.231378213, 0.227670249, 0.224243824, 0.221064729, /* 20 21 22 23 */ - 0.218104292, 0.215338279, 0.212746054, 0.210309918, /* 24 25 26 27 */ - 0.208014598, 0.205846832, 0.203795047, 0.201849087, /* 28 29 30 31 */ - 0.200000000, 0.198239863, 0.196561632, 0.194959022, /* 32 33 34 35 */ - 0.193426404, 0.191958720, 0.190551412, 0.189200360, /* 36 37 38 39 */ - 0.187901825, 0.186652411, 0.185449023, 0.184288833, /* 40 41 42 43 */ - 0.183169251, 0.182087900, 0.181042597, 0.180031327, /* 44 45 46 47 */ - 0.179052232, 0.178103594, 0.177183820, 0.176291434, /* 48 49 50 51 */ - 0.175425064, 0.174583430, 0.173765343, 0.172969690, /* 52 53 54 55 */ - 0.172195434, 0.171441601, 0.170707280, 0.169991616, /* 56 57 58 59 */ - 0.169293808, 0.168613099, 0.167948779, 0.167300179, /* 60 61 62 63 */ - 0.166666667 -}; diff --git a/libtommath/mtest/mpi-config.h b/libtommath/mtest/mpi-config.h deleted file mode 100644 index a347263..0000000 --- a/libtommath/mtest/mpi-config.h +++ /dev/null @@ -1,85 +0,0 @@ -/* Default configuration for MPI library */ - -#ifndef MPI_CONFIG_H_ -#define MPI_CONFIG_H_ - -/* - For boolean options, - 0 = no - 1 = yes - - Other options are documented individually. - - */ - -#ifndef MP_IOFUNC -#define MP_IOFUNC 0 /* include mp_print() ? */ -#endif - -#ifndef MP_MODARITH -#define MP_MODARITH 1 /* include modular arithmetic ? */ -#endif - -#ifndef MP_NUMTH -#define MP_NUMTH 1 /* include number theoretic functions? */ -#endif - -#ifndef MP_LOGTAB -#define MP_LOGTAB 1 /* use table of logs instead of log()? */ -#endif - -#ifndef MP_MEMSET -#define MP_MEMSET 1 /* use memset() to zero buffers? */ -#endif - -#ifndef MP_MEMCPY -#define MP_MEMCPY 1 /* use memcpy() to copy buffers? */ -#endif - -#ifndef MP_CRYPTO -#define MP_CRYPTO 1 /* erase memory on free? */ -#endif - -#ifndef MP_ARGCHK -/* - 0 = no parameter checks - 1 = runtime checks, continue execution and return an error to caller - 2 = assertions; dump core on parameter errors - */ -#define MP_ARGCHK 2 /* how to check input arguments */ -#endif - -#ifndef MP_DEBUG -#define MP_DEBUG 0 /* print diagnostic output? */ -#endif - -#ifndef MP_DEFPREC -#define MP_DEFPREC 64 /* default precision, in digits */ -#endif - -#ifndef MP_MACRO -#define MP_MACRO 1 /* use macros for frequent calls? */ -#endif - -#ifndef MP_SQUARE -#define MP_SQUARE 1 /* use separate squaring code? */ -#endif - -#ifndef MP_PTAB_SIZE -/* - When building mpprime.c, we build in a table of small prime - values to use for primality testing. The more you include, - the more space they take up. See primes.c for the possible - values (currently 16, 32, 64, 128, 256, and 6542) - */ -#define MP_PTAB_SIZE 128 /* how many built-in primes? */ -#endif - -#ifndef MP_COMPAT_MACROS -#define MP_COMPAT_MACROS 1 /* define compatibility macros? */ -#endif - -#endif /* ifndef MPI_CONFIG_H_ */ - - -/* crc==3287762869, version==2, Sat Feb 02 06:43:53 2002 */ diff --git a/libtommath/mtest/mpi-types.h b/libtommath/mtest/mpi-types.h deleted file mode 100644 index 42ccfc3..0000000 --- a/libtommath/mtest/mpi-types.h +++ /dev/null @@ -1,15 +0,0 @@ -/* Type definitions generated by 'types.pl' */ -typedef char mp_sign; -typedef unsigned short mp_digit; /* 2 byte type */ -typedef unsigned int mp_word; /* 4 byte type */ -typedef unsigned int mp_size; -typedef int mp_err; - -#define MP_DIGIT_BIT (CHAR_BIT*sizeof(mp_digit)) -#define MP_DIGIT_MAX USHRT_MAX -#define MP_WORD_BIT (CHAR_BIT*sizeof(mp_word)) -#define MP_WORD_MAX UINT_MAX - -#define MP_DIGIT_SIZE 2 -#define DIGIT_FMT "%04X" -#define RADIX (MP_DIGIT_MAX+1) diff --git a/libtommath/mtest/mpi.c b/libtommath/mtest/mpi.c deleted file mode 100644 index 4566e89..0000000 --- a/libtommath/mtest/mpi.c +++ /dev/null @@ -1,3979 +0,0 @@ -/* - mpi.c - - by Michael J. Fromberger - Copyright (C) 1998 Michael J. Fromberger, All Rights Reserved - - Arbitrary precision integer arithmetic library - */ - -#include "mpi.h" -#include -#include -#include - -#if MP_DEBUG -#include - -#define DIAG(T,V) {fprintf(stderr,T);mp_print(V,stderr);fputc('\n',stderr);} -#else -#define DIAG(T,V) -#endif - -/* - If MP_LOGTAB is not defined, use the math library to compute the - logarithms on the fly. Otherwise, use the static table below. - Pick which works best for your system. - */ -#if MP_LOGTAB - -/* {{{ s_logv_2[] - log table for 2 in various bases */ - -/* - A table of the logs of 2 for various bases (the 0 and 1 entries of - this table are meaningless and should not be referenced). - - This table is used to compute output lengths for the mp_toradix() - function. Since a number n in radix r takes up about log_r(n) - digits, we estimate the output size by taking the least integer - greater than log_r(n), where: - - log_r(n) = log_2(n) * log_r(2) - - This table, therefore, is a table of log_r(2) for 2 <= r <= 36, - which are the output bases supported. - */ - -#include "logtab.h" - -/* }}} */ -#define LOG_V_2(R) s_logv_2[(R)] - -#else - -#include -#define LOG_V_2(R) (log(2.0)/log(R)) - -#endif - -/* Default precision for newly created mp_int's */ -static unsigned int s_mp_defprec = MP_DEFPREC; - -/* {{{ Digit arithmetic macros */ - -/* - When adding and multiplying digits, the results can be larger than - can be contained in an mp_digit. Thus, an mp_word is used. These - macros mask off the upper and lower digits of the mp_word (the - mp_word may be more than 2 mp_digits wide, but we only concern - ourselves with the low-order 2 mp_digits) - - If your mp_word DOES have more than 2 mp_digits, you need to - uncomment the first line, and comment out the second. - */ - -/* #define CARRYOUT(W) (((W)>>DIGIT_BIT)&MP_DIGIT_MAX) */ -#define CARRYOUT(W) ((W)>>DIGIT_BIT) -#define ACCUM(W) ((W)&MP_DIGIT_MAX) - -/* }}} */ - -/* {{{ Comparison constants */ - -#define MP_LT -1 -#define MP_EQ 0 -#define MP_GT 1 - -/* }}} */ - -/* {{{ Constant strings */ - -/* Constant strings returned by mp_strerror() */ -static const char *const mp_err_string[] = { - "unknown result code", /* say what? */ - "boolean true", /* MP_OKAY, MP_YES */ - "boolean false", /* MP_NO */ - "out of memory", /* MP_MEM */ - "argument out of range", /* MP_RANGE */ - "invalid input parameter", /* MP_BADARG */ - "result is undefined" /* MP_UNDEF */ -}; - -/* Value to digit maps for radix conversion */ - -/* s_dmap_1 - standard digits and letters */ -static const char *s_dmap_1 = - "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"; - -#if 0 -/* s_dmap_2 - base64 ordering for digits */ -static const char *s_dmap_2 = - "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"; -#endif - -/* }}} */ - -/* {{{ Static function declarations */ - -/* - If MP_MACRO is false, these will be defined as actual functions; - otherwise, suitable macro definitions will be used. This works - around the fact that ANSI C89 doesn't support an 'inline' keyword - (although I hear C9x will ... about bloody time). At present, the - macro definitions are identical to the function bodies, but they'll - expand in place, instead of generating a function call. - - I chose these particular functions to be made into macros because - some profiling showed they are called a lot on a typical workload, - and yet they are primarily housekeeping. - */ -#if MP_MACRO == 0 - void s_mp_setz(mp_digit *dp, mp_size count); /* zero digits */ - void s_mp_copy(mp_digit *sp, mp_digit *dp, mp_size count); /* copy */ - void *s_mp_alloc(size_t nb, size_t ni); /* general allocator */ - void s_mp_free(void *ptr); /* general free function */ -#else - - /* Even if these are defined as macros, we need to respect the settings - of the MP_MEMSET and MP_MEMCPY configuration options... - */ - #if MP_MEMSET == 0 - #define s_mp_setz(dp, count) \ - {int ix;for(ix=0;ix<(count);ix++)(dp)[ix]=0;} - #else - #define s_mp_setz(dp, count) memset(dp, 0, (count) * sizeof(mp_digit)) - #endif /* MP_MEMSET */ - - #if MP_MEMCPY == 0 - #define s_mp_copy(sp, dp, count) \ - {int ix;for(ix=0;ix<(count);ix++)(dp)[ix]=(sp)[ix];} - #else - #define s_mp_copy(sp, dp, count) memcpy(dp, sp, (count) * sizeof(mp_digit)) - #endif /* MP_MEMCPY */ - - #define s_mp_alloc(nb, ni) calloc(nb, ni) - #define s_mp_free(ptr) {if(ptr) free(ptr);} -#endif /* MP_MACRO */ - -mp_err s_mp_grow(mp_int *mp, mp_size min); /* increase allocated size */ -mp_err s_mp_pad(mp_int *mp, mp_size min); /* left pad with zeroes */ - -void s_mp_clamp(mp_int *mp); /* clip leading zeroes */ - -void s_mp_exch(mp_int *a, mp_int *b); /* swap a and b in place */ - -mp_err s_mp_lshd(mp_int *mp, mp_size p); /* left-shift by p digits */ -void s_mp_rshd(mp_int *mp, mp_size p); /* right-shift by p digits */ -void s_mp_div_2d(mp_int *mp, mp_digit d); /* divide by 2^d in place */ -void s_mp_mod_2d(mp_int *mp, mp_digit d); /* modulo 2^d in place */ -mp_err s_mp_mul_2d(mp_int *mp, mp_digit d); /* multiply by 2^d in place*/ -void s_mp_div_2(mp_int *mp); /* divide by 2 in place */ -mp_err s_mp_mul_2(mp_int *mp); /* multiply by 2 in place */ -mp_digit s_mp_norm(mp_int *a, mp_int *b); /* normalize for division */ -mp_err s_mp_add_d(mp_int *mp, mp_digit d); /* unsigned digit addition */ -mp_err s_mp_sub_d(mp_int *mp, mp_digit d); /* unsigned digit subtract */ -mp_err s_mp_mul_d(mp_int *mp, mp_digit d); /* unsigned digit multiply */ -mp_err s_mp_div_d(mp_int *mp, mp_digit d, mp_digit *r); - /* unsigned digit divide */ -mp_err s_mp_reduce(mp_int *x, mp_int *m, mp_int *mu); - /* Barrett reduction */ -mp_err s_mp_add(mp_int *a, mp_int *b); /* magnitude addition */ -mp_err s_mp_sub(mp_int *a, mp_int *b); /* magnitude subtract */ -mp_err s_mp_mul(mp_int *a, mp_int *b); /* magnitude multiply */ -#if 0 -void s_mp_kmul(mp_digit *a, mp_digit *b, mp_digit *out, mp_size len); - /* multiply buffers in place */ -#endif -#if MP_SQUARE -mp_err s_mp_sqr(mp_int *a); /* magnitude square */ -#else -#define s_mp_sqr(a) s_mp_mul(a, a) -#endif -mp_err s_mp_div(mp_int *a, mp_int *b); /* magnitude divide */ -mp_err s_mp_2expt(mp_int *a, mp_digit k); /* a = 2^k */ -int s_mp_cmp(mp_int *a, mp_int *b); /* magnitude comparison */ -int s_mp_cmp_d(mp_int *a, mp_digit d); /* magnitude digit compare */ -int s_mp_ispow2(mp_int *v); /* is v a power of 2? */ -int s_mp_ispow2d(mp_digit d); /* is d a power of 2? */ - -int s_mp_tovalue(char ch, int r); /* convert ch to value */ -char s_mp_todigit(int val, int r, int low); /* convert val to digit */ -int s_mp_outlen(int bits, int r); /* output length in bytes */ - -/* }}} */ - -/* {{{ Default precision manipulation */ - -unsigned int mp_get_prec(void) -{ - return s_mp_defprec; - -} /* end mp_get_prec() */ - -void mp_set_prec(unsigned int prec) -{ - if(prec == 0) - s_mp_defprec = MP_DEFPREC; - else - s_mp_defprec = prec; - -} /* end mp_set_prec() */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* {{{ mp_init(mp) */ - -/* - mp_init(mp) - - Initialize a new zero-valued mp_int. Returns MP_OKAY if successful, - MP_MEM if memory could not be allocated for the structure. - */ - -mp_err mp_init(mp_int *mp) -{ - return mp_init_size(mp, s_mp_defprec); - -} /* end mp_init() */ - -/* }}} */ - -/* {{{ mp_init_array(mp[], count) */ - -mp_err mp_init_array(mp_int mp[], int count) -{ - mp_err res; - int pos; - - ARGCHK(mp !=NULL && count > 0, MP_BADARG); - - for(pos = 0; pos < count; ++pos) { - if((res = mp_init(&mp[pos])) != MP_OKAY) - goto CLEANUP; - } - - return MP_OKAY; - - CLEANUP: - while(--pos >= 0) - mp_clear(&mp[pos]); - - return res; - -} /* end mp_init_array() */ - -/* }}} */ - -/* {{{ mp_init_size(mp, prec) */ - -/* - mp_init_size(mp, prec) - - Initialize a new zero-valued mp_int with at least the given - precision; returns MP_OKAY if successful, or MP_MEM if memory could - not be allocated for the structure. - */ - -mp_err mp_init_size(mp_int *mp, mp_size prec) -{ - ARGCHK(mp != NULL && prec > 0, MP_BADARG); - - if((DIGITS(mp) = s_mp_alloc(prec, sizeof(mp_digit))) == NULL) - return MP_MEM; - - SIGN(mp) = MP_ZPOS; - USED(mp) = 1; - ALLOC(mp) = prec; - - return MP_OKAY; - -} /* end mp_init_size() */ - -/* }}} */ - -/* {{{ mp_init_copy(mp, from) */ - -/* - mp_init_copy(mp, from) - - Initialize mp as an exact copy of from. Returns MP_OKAY if - successful, MP_MEM if memory could not be allocated for the new - structure. - */ - -mp_err mp_init_copy(mp_int *mp, mp_int *from) -{ - ARGCHK(mp != NULL && from != NULL, MP_BADARG); - - if(mp == from) - return MP_OKAY; - - if((DIGITS(mp) = s_mp_alloc(USED(from), sizeof(mp_digit))) == NULL) - return MP_MEM; - - s_mp_copy(DIGITS(from), DIGITS(mp), USED(from)); - USED(mp) = USED(from); - ALLOC(mp) = USED(from); - SIGN(mp) = SIGN(from); - - return MP_OKAY; - -} /* end mp_init_copy() */ - -/* }}} */ - -/* {{{ mp_copy(from, to) */ - -/* - mp_copy(from, to) - - Copies the mp_int 'from' to the mp_int 'to'. It is presumed that - 'to' has already been initialized (if not, use mp_init_copy() - instead). If 'from' and 'to' are identical, nothing happens. - */ - -mp_err mp_copy(mp_int *from, mp_int *to) -{ - ARGCHK(from != NULL && to != NULL, MP_BADARG); - - if(from == to) - return MP_OKAY; - - { /* copy */ - mp_digit *tmp; - - /* - If the allocated buffer in 'to' already has enough space to hold - all the used digits of 'from', we'll re-use it to avoid hitting - the memory allocater more than necessary; otherwise, we'd have - to grow anyway, so we just allocate a hunk and make the copy as - usual - */ - if(ALLOC(to) >= USED(from)) { - s_mp_setz(DIGITS(to) + USED(from), ALLOC(to) - USED(from)); - s_mp_copy(DIGITS(from), DIGITS(to), USED(from)); - - } else { - if((tmp = s_mp_alloc(USED(from), sizeof(mp_digit))) == NULL) - return MP_MEM; - - s_mp_copy(DIGITS(from), tmp, USED(from)); - - if(DIGITS(to) != NULL) { -#if MP_CRYPTO - s_mp_setz(DIGITS(to), ALLOC(to)); -#endif - s_mp_free(DIGITS(to)); - } - - DIGITS(to) = tmp; - ALLOC(to) = USED(from); - } - - /* Copy the precision and sign from the original */ - USED(to) = USED(from); - SIGN(to) = SIGN(from); - } /* end copy */ - - return MP_OKAY; - -} /* end mp_copy() */ - -/* }}} */ - -/* {{{ mp_exch(mp1, mp2) */ - -/* - mp_exch(mp1, mp2) - - Exchange mp1 and mp2 without allocating any intermediate memory - (well, unless you count the stack space needed for this call and the - locals it creates...). This cannot fail. - */ - -void mp_exch(mp_int *mp1, mp_int *mp2) -{ -#if MP_ARGCHK == 2 - assert(mp1 != NULL && mp2 != NULL); -#else - if(mp1 == NULL || mp2 == NULL) - return; -#endif - - s_mp_exch(mp1, mp2); - -} /* end mp_exch() */ - -/* }}} */ - -/* {{{ mp_clear(mp) */ - -/* - mp_clear(mp) - - Release the storage used by an mp_int, and void its fields so that - if someone calls mp_clear() again for the same int later, we won't - get tollchocked. - */ - -void mp_clear(mp_int *mp) -{ - if(mp == NULL) - return; - - if(DIGITS(mp) != NULL) { -#if MP_CRYPTO - s_mp_setz(DIGITS(mp), ALLOC(mp)); -#endif - s_mp_free(DIGITS(mp)); - DIGITS(mp) = NULL; - } - - USED(mp) = 0; - ALLOC(mp) = 0; - -} /* end mp_clear() */ - -/* }}} */ - -/* {{{ mp_clear_array(mp[], count) */ - -void mp_clear_array(mp_int mp[], int count) -{ - ARGCHK(mp != NULL && count > 0, MP_BADARG); - - while(--count >= 0) - mp_clear(&mp[count]); - -} /* end mp_clear_array() */ - -/* }}} */ - -/* {{{ mp_zero(mp) */ - -/* - mp_zero(mp) - - Set mp to zero. Does not change the allocated size of the structure, - and therefore cannot fail (except on a bad argument, which we ignore) - */ -void mp_zero(mp_int *mp) -{ - if(mp == NULL) - return; - - s_mp_setz(DIGITS(mp), ALLOC(mp)); - USED(mp) = 1; - SIGN(mp) = MP_ZPOS; - -} /* end mp_zero() */ - -/* }}} */ - -/* {{{ mp_set(mp, d) */ - -void mp_set(mp_int *mp, mp_digit d) -{ - if(mp == NULL) - return; - - mp_zero(mp); - DIGIT(mp, 0) = d; - -} /* end mp_set() */ - -/* }}} */ - -/* {{{ mp_set_int(mp, z) */ - -mp_err mp_set_int(mp_int *mp, long z) -{ - int ix; - unsigned long v = abs(z); - mp_err res; - - ARGCHK(mp != NULL, MP_BADARG); - - mp_zero(mp); - if(z == 0) - return MP_OKAY; /* shortcut for zero */ - - for(ix = sizeof(long) - 1; ix >= 0; ix--) { - - if((res = s_mp_mul_2d(mp, CHAR_BIT)) != MP_OKAY) - return res; - - res = s_mp_add_d(mp, - (mp_digit)((v >> (ix * CHAR_BIT)) & UCHAR_MAX)); - if(res != MP_OKAY) - return res; - - } - - if(z < 0) - SIGN(mp) = MP_NEG; - - return MP_OKAY; - -} /* end mp_set_int() */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* {{{ Digit arithmetic */ - -/* {{{ mp_add_d(a, d, b) */ - -/* - mp_add_d(a, d, b) - - Compute the sum b = a + d, for a single digit d. Respects the sign of - its primary addend (single digits are unsigned anyway). - */ - -mp_err mp_add_d(mp_int *a, mp_digit d, mp_int *b) -{ - mp_err res = MP_OKAY; - - ARGCHK(a != NULL && b != NULL, MP_BADARG); - - if((res = mp_copy(a, b)) != MP_OKAY) - return res; - - if(SIGN(b) == MP_ZPOS) { - res = s_mp_add_d(b, d); - } else if(s_mp_cmp_d(b, d) >= 0) { - res = s_mp_sub_d(b, d); - } else { - SIGN(b) = MP_ZPOS; - - DIGIT(b, 0) = d - DIGIT(b, 0); - } - - return res; - -} /* end mp_add_d() */ - -/* }}} */ - -/* {{{ mp_sub_d(a, d, b) */ - -/* - mp_sub_d(a, d, b) - - Compute the difference b = a - d, for a single digit d. Respects the - sign of its subtrahend (single digits are unsigned anyway). - */ - -mp_err mp_sub_d(mp_int *a, mp_digit d, mp_int *b) -{ - mp_err res; - - ARGCHK(a != NULL && b != NULL, MP_BADARG); - - if((res = mp_copy(a, b)) != MP_OKAY) - return res; - - if(SIGN(b) == MP_NEG) { - if((res = s_mp_add_d(b, d)) != MP_OKAY) - return res; - - } else if(s_mp_cmp_d(b, d) >= 0) { - if((res = s_mp_sub_d(b, d)) != MP_OKAY) - return res; - - } else { - mp_neg(b, b); - - DIGIT(b, 0) = d - DIGIT(b, 0); - SIGN(b) = MP_NEG; - } - - if(s_mp_cmp_d(b, 0) == 0) - SIGN(b) = MP_ZPOS; - - return MP_OKAY; - -} /* end mp_sub_d() */ - -/* }}} */ - -/* {{{ mp_mul_d(a, d, b) */ - -/* - mp_mul_d(a, d, b) - - Compute the product b = a * d, for a single digit d. Respects the sign - of its multiplicand (single digits are unsigned anyway) - */ - -mp_err mp_mul_d(mp_int *a, mp_digit d, mp_int *b) -{ - mp_err res; - - ARGCHK(a != NULL && b != NULL, MP_BADARG); - - if(d == 0) { - mp_zero(b); - return MP_OKAY; - } - - if((res = mp_copy(a, b)) != MP_OKAY) - return res; - - res = s_mp_mul_d(b, d); - - return res; - -} /* end mp_mul_d() */ - -/* }}} */ - -/* {{{ mp_mul_2(a, c) */ - -mp_err mp_mul_2(mp_int *a, mp_int *c) -{ - mp_err res; - - ARGCHK(a != NULL && c != NULL, MP_BADARG); - - if((res = mp_copy(a, c)) != MP_OKAY) - return res; - - return s_mp_mul_2(c); - -} /* end mp_mul_2() */ - -/* }}} */ - -/* {{{ mp_div_d(a, d, q, r) */ - -/* - mp_div_d(a, d, q, r) - - Compute the quotient q = a / d and remainder r = a mod d, for a - single digit d. Respects the sign of its divisor (single digits are - unsigned anyway). - */ - -mp_err mp_div_d(mp_int *a, mp_digit d, mp_int *q, mp_digit *r) -{ - mp_err res; - mp_digit rem; - int pow; - - ARGCHK(a != NULL, MP_BADARG); - - if(d == 0) - return MP_RANGE; - - /* Shortcut for powers of two ... */ - if((pow = s_mp_ispow2d(d)) >= 0) { - mp_digit mask; - - mask = (1 << pow) - 1; - rem = DIGIT(a, 0) & mask; - - if(q) { - mp_copy(a, q); - s_mp_div_2d(q, pow); - } - - if(r) - *r = rem; - - return MP_OKAY; - } - - /* - If the quotient is actually going to be returned, we'll try to - avoid hitting the memory allocator by copying the dividend into it - and doing the division there. This can't be any _worse_ than - always copying, and will sometimes be better (since it won't make - another copy) - - If it's not going to be returned, we need to allocate a temporary - to hold the quotient, which will just be discarded. - */ - if(q) { - if((res = mp_copy(a, q)) != MP_OKAY) - return res; - - res = s_mp_div_d(q, d, &rem); - if(s_mp_cmp_d(q, 0) == MP_EQ) - SIGN(q) = MP_ZPOS; - - } else { - mp_int qp; - - if((res = mp_init_copy(&qp, a)) != MP_OKAY) - return res; - - res = s_mp_div_d(&qp, d, &rem); - if(s_mp_cmp_d(&qp, 0) == 0) - SIGN(&qp) = MP_ZPOS; - - mp_clear(&qp); - } - - if(r) - *r = rem; - - return res; - -} /* end mp_div_d() */ - -/* }}} */ - -/* {{{ mp_div_2(a, c) */ - -/* - mp_div_2(a, c) - - Compute c = a / 2, disregarding the remainder. - */ - -mp_err mp_div_2(mp_int *a, mp_int *c) -{ - mp_err res; - - ARGCHK(a != NULL && c != NULL, MP_BADARG); - - if((res = mp_copy(a, c)) != MP_OKAY) - return res; - - s_mp_div_2(c); - - return MP_OKAY; - -} /* end mp_div_2() */ - -/* }}} */ - -/* {{{ mp_expt_d(a, d, b) */ - -mp_err mp_expt_d(mp_int *a, mp_digit d, mp_int *c) -{ - mp_int s, x; - mp_err res; - - ARGCHK(a != NULL && c != NULL, MP_BADARG); - - if((res = mp_init(&s)) != MP_OKAY) - return res; - if((res = mp_init_copy(&x, a)) != MP_OKAY) - goto X; - - DIGIT(&s, 0) = 1; - - while(d != 0) { - if(d & 1) { - if((res = s_mp_mul(&s, &x)) != MP_OKAY) - goto CLEANUP; - } - - d >>= 1; - - if((res = s_mp_sqr(&x)) != MP_OKAY) - goto CLEANUP; - } - - s_mp_exch(&s, c); - -CLEANUP: - mp_clear(&x); -X: - mp_clear(&s); - - return res; - -} /* end mp_expt_d() */ - -/* }}} */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* {{{ Full arithmetic */ - -/* {{{ mp_abs(a, b) */ - -/* - mp_abs(a, b) - - Compute b = |a|. 'a' and 'b' may be identical. - */ - -mp_err mp_abs(mp_int *a, mp_int *b) -{ - mp_err res; - - ARGCHK(a != NULL && b != NULL, MP_BADARG); - - if((res = mp_copy(a, b)) != MP_OKAY) - return res; - - SIGN(b) = MP_ZPOS; - - return MP_OKAY; - -} /* end mp_abs() */ - -/* }}} */ - -/* {{{ mp_neg(a, b) */ - -/* - mp_neg(a, b) - - Compute b = -a. 'a' and 'b' may be identical. - */ - -mp_err mp_neg(mp_int *a, mp_int *b) -{ - mp_err res; - - ARGCHK(a != NULL && b != NULL, MP_BADARG); - - if((res = mp_copy(a, b)) != MP_OKAY) - return res; - - if(s_mp_cmp_d(b, 0) == MP_EQ) - SIGN(b) = MP_ZPOS; - else - SIGN(b) = (SIGN(b) == MP_NEG) ? MP_ZPOS : MP_NEG; - - return MP_OKAY; - -} /* end mp_neg() */ - -/* }}} */ - -/* {{{ mp_add(a, b, c) */ - -/* - mp_add(a, b, c) - - Compute c = a + b. All parameters may be identical. - */ - -mp_err mp_add(mp_int *a, mp_int *b, mp_int *c) -{ - mp_err res; - int cmp; - - ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); - - if(SIGN(a) == SIGN(b)) { /* same sign: add values, keep sign */ - - /* Commutativity of addition lets us do this in either order, - so we avoid having to use a temporary even if the result - is supposed to replace the output - */ - if(c == b) { - if((res = s_mp_add(c, a)) != MP_OKAY) - return res; - } else { - if(c != a && (res = mp_copy(a, c)) != MP_OKAY) - return res; - - if((res = s_mp_add(c, b)) != MP_OKAY) - return res; - } - - } else if((cmp = s_mp_cmp(a, b)) > 0) { /* different sign: a > b */ - - /* If the output is going to be clobbered, we will use a temporary - variable; otherwise, we'll do it without touching the memory - allocator at all, if possible - */ - if(c == b) { - mp_int tmp; - - if((res = mp_init_copy(&tmp, a)) != MP_OKAY) - return res; - if((res = s_mp_sub(&tmp, b)) != MP_OKAY) { - mp_clear(&tmp); - return res; - } - - s_mp_exch(&tmp, c); - mp_clear(&tmp); - - } else { - - if(c != a && (res = mp_copy(a, c)) != MP_OKAY) - return res; - if((res = s_mp_sub(c, b)) != MP_OKAY) - return res; - - } - - } else if(cmp == 0) { /* different sign, a == b */ - - mp_zero(c); - return MP_OKAY; - - } else { /* different sign: a < b */ - - /* See above... */ - if(c == a) { - mp_int tmp; - - if((res = mp_init_copy(&tmp, b)) != MP_OKAY) - return res; - if((res = s_mp_sub(&tmp, a)) != MP_OKAY) { - mp_clear(&tmp); - return res; - } - - s_mp_exch(&tmp, c); - mp_clear(&tmp); - - } else { - - if(c != b && (res = mp_copy(b, c)) != MP_OKAY) - return res; - if((res = s_mp_sub(c, a)) != MP_OKAY) - return res; - - } - } - - if(USED(c) == 1 && DIGIT(c, 0) == 0) - SIGN(c) = MP_ZPOS; - - return MP_OKAY; - -} /* end mp_add() */ - -/* }}} */ - -/* {{{ mp_sub(a, b, c) */ - -/* - mp_sub(a, b, c) - - Compute c = a - b. All parameters may be identical. - */ - -mp_err mp_sub(mp_int *a, mp_int *b, mp_int *c) -{ - mp_err res; - int cmp; - - ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); - - if(SIGN(a) != SIGN(b)) { - if(c == a) { - if((res = s_mp_add(c, b)) != MP_OKAY) - return res; - } else { - if(c != b && ((res = mp_copy(b, c)) != MP_OKAY)) - return res; - if((res = s_mp_add(c, a)) != MP_OKAY) - return res; - SIGN(c) = SIGN(a); - } - - } else if((cmp = s_mp_cmp(a, b)) > 0) { /* Same sign, a > b */ - if(c == b) { - mp_int tmp; - - if((res = mp_init_copy(&tmp, a)) != MP_OKAY) - return res; - if((res = s_mp_sub(&tmp, b)) != MP_OKAY) { - mp_clear(&tmp); - return res; - } - s_mp_exch(&tmp, c); - mp_clear(&tmp); - - } else { - if(c != a && ((res = mp_copy(a, c)) != MP_OKAY)) - return res; - - if((res = s_mp_sub(c, b)) != MP_OKAY) - return res; - } - - } else if(cmp == 0) { /* Same sign, equal magnitude */ - mp_zero(c); - return MP_OKAY; - - } else { /* Same sign, b > a */ - if(c == a) { - mp_int tmp; - - if((res = mp_init_copy(&tmp, b)) != MP_OKAY) - return res; - - if((res = s_mp_sub(&tmp, a)) != MP_OKAY) { - mp_clear(&tmp); - return res; - } - s_mp_exch(&tmp, c); - mp_clear(&tmp); - - } else { - if(c != b && ((res = mp_copy(b, c)) != MP_OKAY)) - return res; - - if((res = s_mp_sub(c, a)) != MP_OKAY) - return res; - } - - SIGN(c) = !SIGN(b); - } - - if(USED(c) == 1 && DIGIT(c, 0) == 0) - SIGN(c) = MP_ZPOS; - - return MP_OKAY; - -} /* end mp_sub() */ - -/* }}} */ - -/* {{{ mp_mul(a, b, c) */ - -/* - mp_mul(a, b, c) - - Compute c = a * b. All parameters may be identical. - */ - -mp_err mp_mul(mp_int *a, mp_int *b, mp_int *c) -{ - mp_err res; - mp_sign sgn; - - ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); - - sgn = (SIGN(a) == SIGN(b)) ? MP_ZPOS : MP_NEG; - - if(c == b) { - if((res = s_mp_mul(c, a)) != MP_OKAY) - return res; - - } else { - if((res = mp_copy(a, c)) != MP_OKAY) - return res; - - if((res = s_mp_mul(c, b)) != MP_OKAY) - return res; - } - - if(sgn == MP_ZPOS || s_mp_cmp_d(c, 0) == MP_EQ) - SIGN(c) = MP_ZPOS; - else - SIGN(c) = sgn; - - return MP_OKAY; - -} /* end mp_mul() */ - -/* }}} */ - -/* {{{ mp_mul_2d(a, d, c) */ - -/* - mp_mul_2d(a, d, c) - - Compute c = a * 2^d. a may be the same as c. - */ - -mp_err mp_mul_2d(mp_int *a, mp_digit d, mp_int *c) -{ - mp_err res; - - ARGCHK(a != NULL && c != NULL, MP_BADARG); - - if((res = mp_copy(a, c)) != MP_OKAY) - return res; - - if(d == 0) - return MP_OKAY; - - return s_mp_mul_2d(c, d); - -} /* end mp_mul() */ - -/* }}} */ - -/* {{{ mp_sqr(a, b) */ - -#if MP_SQUARE -mp_err mp_sqr(mp_int *a, mp_int *b) -{ - mp_err res; - - ARGCHK(a != NULL && b != NULL, MP_BADARG); - - if((res = mp_copy(a, b)) != MP_OKAY) - return res; - - if((res = s_mp_sqr(b)) != MP_OKAY) - return res; - - SIGN(b) = MP_ZPOS; - - return MP_OKAY; - -} /* end mp_sqr() */ -#endif - -/* }}} */ - -/* {{{ mp_div(a, b, q, r) */ - -/* - mp_div(a, b, q, r) - - Compute q = a / b and r = a mod b. Input parameters may be re-used - as output parameters. If q or r is NULL, that portion of the - computation will be discarded (although it will still be computed) - - Pay no attention to the hacker behind the curtain. - */ - -mp_err mp_div(mp_int *a, mp_int *b, mp_int *q, mp_int *r) -{ - mp_err res; - mp_int qtmp, rtmp; - int cmp; - - ARGCHK(a != NULL && b != NULL, MP_BADARG); - - if(mp_cmp_z(b) == MP_EQ) - return MP_RANGE; - - /* If a <= b, we can compute the solution without division, and - avoid any memory allocation - */ - if((cmp = s_mp_cmp(a, b)) < 0) { - if(r) { - if((res = mp_copy(a, r)) != MP_OKAY) - return res; - } - - if(q) - mp_zero(q); - - return MP_OKAY; - - } else if(cmp == 0) { - - /* Set quotient to 1, with appropriate sign */ - if(q) { - int qneg = (SIGN(a) != SIGN(b)); - - mp_set(q, 1); - if(qneg) - SIGN(q) = MP_NEG; - } - - if(r) - mp_zero(r); - - return MP_OKAY; - } - - /* If we get here, it means we actually have to do some division */ - - /* Set up some temporaries... */ - if((res = mp_init_copy(&qtmp, a)) != MP_OKAY) - return res; - if((res = mp_init_copy(&rtmp, b)) != MP_OKAY) - goto CLEANUP; - - if((res = s_mp_div(&qtmp, &rtmp)) != MP_OKAY) - goto CLEANUP; - - /* Compute the signs for the output */ - SIGN(&rtmp) = SIGN(a); /* Sr = Sa */ - if(SIGN(a) == SIGN(b)) - SIGN(&qtmp) = MP_ZPOS; /* Sq = MP_ZPOS if Sa = Sb */ - else - SIGN(&qtmp) = MP_NEG; /* Sq = MP_NEG if Sa != Sb */ - - if(s_mp_cmp_d(&qtmp, 0) == MP_EQ) - SIGN(&qtmp) = MP_ZPOS; - if(s_mp_cmp_d(&rtmp, 0) == MP_EQ) - SIGN(&rtmp) = MP_ZPOS; - - /* Copy output, if it is needed */ - if(q) - s_mp_exch(&qtmp, q); - - if(r) - s_mp_exch(&rtmp, r); - -CLEANUP: - mp_clear(&rtmp); - mp_clear(&qtmp); - - return res; - -} /* end mp_div() */ - -/* }}} */ - -/* {{{ mp_div_2d(a, d, q, r) */ - -mp_err mp_div_2d(mp_int *a, mp_digit d, mp_int *q, mp_int *r) -{ - mp_err res; - - ARGCHK(a != NULL, MP_BADARG); - - if(q) { - if((res = mp_copy(a, q)) != MP_OKAY) - return res; - - s_mp_div_2d(q, d); - } - - if(r) { - if((res = mp_copy(a, r)) != MP_OKAY) - return res; - - s_mp_mod_2d(r, d); - } - - return MP_OKAY; - -} /* end mp_div_2d() */ - -/* }}} */ - -/* {{{ mp_expt(a, b, c) */ - -/* - mp_expt(a, b, c) - - Compute c = a ** b, that is, raise a to the b power. Uses a - standard iterative square-and-multiply technique. - */ - -mp_err mp_expt(mp_int *a, mp_int *b, mp_int *c) -{ - mp_int s, x; - mp_err res; - mp_digit d; - int dig, bit; - - ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); - - if(mp_cmp_z(b) < 0) - return MP_RANGE; - - if((res = mp_init(&s)) != MP_OKAY) - return res; - - mp_set(&s, 1); - - if((res = mp_init_copy(&x, a)) != MP_OKAY) - goto X; - - /* Loop over low-order digits in ascending order */ - for(dig = 0; dig < (USED(b) - 1); dig++) { - d = DIGIT(b, dig); - - /* Loop over bits of each non-maximal digit */ - for(bit = 0; bit < DIGIT_BIT; bit++) { - if(d & 1) { - if((res = s_mp_mul(&s, &x)) != MP_OKAY) - goto CLEANUP; - } - - d >>= 1; - - if((res = s_mp_sqr(&x)) != MP_OKAY) - goto CLEANUP; - } - } - - /* Consider now the last digit... */ - d = DIGIT(b, dig); - - while(d) { - if(d & 1) { - if((res = s_mp_mul(&s, &x)) != MP_OKAY) - goto CLEANUP; - } - - d >>= 1; - - if((res = s_mp_sqr(&x)) != MP_OKAY) - goto CLEANUP; - } - - if(mp_iseven(b)) - SIGN(&s) = SIGN(a); - - res = mp_copy(&s, c); - -CLEANUP: - mp_clear(&x); -X: - mp_clear(&s); - - return res; - -} /* end mp_expt() */ - -/* }}} */ - -/* {{{ mp_2expt(a, k) */ - -/* Compute a = 2^k */ - -mp_err mp_2expt(mp_int *a, mp_digit k) -{ - ARGCHK(a != NULL, MP_BADARG); - - return s_mp_2expt(a, k); - -} /* end mp_2expt() */ - -/* }}} */ - -/* {{{ mp_mod(a, m, c) */ - -/* - mp_mod(a, m, c) - - Compute c = a (mod m). Result will always be 0 <= c < m. - */ - -mp_err mp_mod(mp_int *a, mp_int *m, mp_int *c) -{ - mp_err res; - int mag; - - ARGCHK(a != NULL && m != NULL && c != NULL, MP_BADARG); - - if(SIGN(m) == MP_NEG) - return MP_RANGE; - - /* - If |a| > m, we need to divide to get the remainder and take the - absolute value. - - If |a| < m, we don't need to do any division, just copy and adjust - the sign (if a is negative). - - If |a| == m, we can simply set the result to zero. - - This order is intended to minimize the average path length of the - comparison chain on common workloads -- the most frequent cases are - that |a| != m, so we do those first. - */ - if((mag = s_mp_cmp(a, m)) > 0) { - if((res = mp_div(a, m, NULL, c)) != MP_OKAY) - return res; - - if(SIGN(c) == MP_NEG) { - if((res = mp_add(c, m, c)) != MP_OKAY) - return res; - } - - } else if(mag < 0) { - if((res = mp_copy(a, c)) != MP_OKAY) - return res; - - if(mp_cmp_z(a) < 0) { - if((res = mp_add(c, m, c)) != MP_OKAY) - return res; - - } - - } else { - mp_zero(c); - - } - - return MP_OKAY; - -} /* end mp_mod() */ - -/* }}} */ - -/* {{{ mp_mod_d(a, d, c) */ - -/* - mp_mod_d(a, d, c) - - Compute c = a (mod d). Result will always be 0 <= c < d - */ -mp_err mp_mod_d(mp_int *a, mp_digit d, mp_digit *c) -{ - mp_err res; - mp_digit rem; - - ARGCHK(a != NULL && c != NULL, MP_BADARG); - - if(s_mp_cmp_d(a, d) > 0) { - if((res = mp_div_d(a, d, NULL, &rem)) != MP_OKAY) - return res; - - } else { - if(SIGN(a) == MP_NEG) - rem = d - DIGIT(a, 0); - else - rem = DIGIT(a, 0); - } - - if(c) - *c = rem; - - return MP_OKAY; - -} /* end mp_mod_d() */ - -/* }}} */ - -/* {{{ mp_sqrt(a, b) */ - -/* - mp_sqrt(a, b) - - Compute the integer square root of a, and store the result in b. - Uses an integer-arithmetic version of Newton's iterative linear - approximation technique to determine this value; the result has the - following two properties: - - b^2 <= a - (b+1)^2 >= a - - It is a range error to pass a negative value. - */ -mp_err mp_sqrt(mp_int *a, mp_int *b) -{ - mp_int x, t; - mp_err res; - - ARGCHK(a != NULL && b != NULL, MP_BADARG); - - /* Cannot take square root of a negative value */ - if(SIGN(a) == MP_NEG) - return MP_RANGE; - - /* Special cases for zero and one, trivial */ - if(mp_cmp_d(a, 0) == MP_EQ || mp_cmp_d(a, 1) == MP_EQ) - return mp_copy(a, b); - - /* Initialize the temporaries we'll use below */ - if((res = mp_init_size(&t, USED(a))) != MP_OKAY) - return res; - - /* Compute an initial guess for the iteration as a itself */ - if((res = mp_init_copy(&x, a)) != MP_OKAY) - goto X; - -s_mp_rshd(&x, (USED(&x)/2)+1); -mp_add_d(&x, 1, &x); - - for(;;) { - /* t = (x * x) - a */ - mp_copy(&x, &t); /* can't fail, t is big enough for original x */ - if((res = mp_sqr(&t, &t)) != MP_OKAY || - (res = mp_sub(&t, a, &t)) != MP_OKAY) - goto CLEANUP; - - /* t = t / 2x */ - s_mp_mul_2(&x); - if((res = mp_div(&t, &x, &t, NULL)) != MP_OKAY) - goto CLEANUP; - s_mp_div_2(&x); - - /* Terminate the loop, if the quotient is zero */ - if(mp_cmp_z(&t) == MP_EQ) - break; - - /* x = x - t */ - if((res = mp_sub(&x, &t, &x)) != MP_OKAY) - goto CLEANUP; - - } - - /* Copy result to output parameter */ - mp_sub_d(&x, 1, &x); - s_mp_exch(&x, b); - - CLEANUP: - mp_clear(&x); - X: - mp_clear(&t); - - return res; - -} /* end mp_sqrt() */ - -/* }}} */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* {{{ Modular arithmetic */ - -#if MP_MODARITH -/* {{{ mp_addmod(a, b, m, c) */ - -/* - mp_addmod(a, b, m, c) - - Compute c = (a + b) mod m - */ - -mp_err mp_addmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c) -{ - mp_err res; - - ARGCHK(a != NULL && b != NULL && m != NULL && c != NULL, MP_BADARG); - - if((res = mp_add(a, b, c)) != MP_OKAY) - return res; - if((res = mp_mod(c, m, c)) != MP_OKAY) - return res; - - return MP_OKAY; - -} - -/* }}} */ - -/* {{{ mp_submod(a, b, m, c) */ - -/* - mp_submod(a, b, m, c) - - Compute c = (a - b) mod m - */ - -mp_err mp_submod(mp_int *a, mp_int *b, mp_int *m, mp_int *c) -{ - mp_err res; - - ARGCHK(a != NULL && b != NULL && m != NULL && c != NULL, MP_BADARG); - - if((res = mp_sub(a, b, c)) != MP_OKAY) - return res; - if((res = mp_mod(c, m, c)) != MP_OKAY) - return res; - - return MP_OKAY; - -} - -/* }}} */ - -/* {{{ mp_mulmod(a, b, m, c) */ - -/* - mp_mulmod(a, b, m, c) - - Compute c = (a * b) mod m - */ - -mp_err mp_mulmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c) -{ - mp_err res; - - ARGCHK(a != NULL && b != NULL && m != NULL && c != NULL, MP_BADARG); - - if((res = mp_mul(a, b, c)) != MP_OKAY) - return res; - if((res = mp_mod(c, m, c)) != MP_OKAY) - return res; - - return MP_OKAY; - -} - -/* }}} */ - -/* {{{ mp_sqrmod(a, m, c) */ - -#if MP_SQUARE -mp_err mp_sqrmod(mp_int *a, mp_int *m, mp_int *c) -{ - mp_err res; - - ARGCHK(a != NULL && m != NULL && c != NULL, MP_BADARG); - - if((res = mp_sqr(a, c)) != MP_OKAY) - return res; - if((res = mp_mod(c, m, c)) != MP_OKAY) - return res; - - return MP_OKAY; - -} /* end mp_sqrmod() */ -#endif - -/* }}} */ - -/* {{{ mp_exptmod(a, b, m, c) */ - -/* - mp_exptmod(a, b, m, c) - - Compute c = (a ** b) mod m. Uses a standard square-and-multiply - method with modular reductions at each step. (This is basically the - same code as mp_expt(), except for the addition of the reductions) - - The modular reductions are done using Barrett's algorithm (see - s_mp_reduce() below for details) - */ - -mp_err mp_exptmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c) -{ - mp_int s, x, mu; - mp_err res; - mp_digit d, *db = DIGITS(b); - mp_size ub = USED(b); - int dig, bit; - - ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); - - if(mp_cmp_z(b) < 0 || mp_cmp_z(m) <= 0) - return MP_RANGE; - - if((res = mp_init(&s)) != MP_OKAY) - return res; - if((res = mp_init_copy(&x, a)) != MP_OKAY) - goto X; - if((res = mp_mod(&x, m, &x)) != MP_OKAY || - (res = mp_init(&mu)) != MP_OKAY) - goto MU; - - mp_set(&s, 1); - - /* mu = b^2k / m */ - s_mp_add_d(&mu, 1); - s_mp_lshd(&mu, 2 * USED(m)); - if((res = mp_div(&mu, m, &mu, NULL)) != MP_OKAY) - goto CLEANUP; - - /* Loop over digits of b in ascending order, except highest order */ - for(dig = 0; dig < (ub - 1); dig++) { - d = *db++; - - /* Loop over the bits of the lower-order digits */ - for(bit = 0; bit < DIGIT_BIT; bit++) { - if(d & 1) { - if((res = s_mp_mul(&s, &x)) != MP_OKAY) - goto CLEANUP; - if((res = s_mp_reduce(&s, m, &mu)) != MP_OKAY) - goto CLEANUP; - } - - d >>= 1; - - if((res = s_mp_sqr(&x)) != MP_OKAY) - goto CLEANUP; - if((res = s_mp_reduce(&x, m, &mu)) != MP_OKAY) - goto CLEANUP; - } - } - - /* Now do the last digit... */ - d = *db; - - while(d) { - if(d & 1) { - if((res = s_mp_mul(&s, &x)) != MP_OKAY) - goto CLEANUP; - if((res = s_mp_reduce(&s, m, &mu)) != MP_OKAY) - goto CLEANUP; - } - - d >>= 1; - - if((res = s_mp_sqr(&x)) != MP_OKAY) - goto CLEANUP; - if((res = s_mp_reduce(&x, m, &mu)) != MP_OKAY) - goto CLEANUP; - } - - s_mp_exch(&s, c); - - CLEANUP: - mp_clear(&mu); - MU: - mp_clear(&x); - X: - mp_clear(&s); - - return res; - -} /* end mp_exptmod() */ - -/* }}} */ - -/* {{{ mp_exptmod_d(a, d, m, c) */ - -mp_err mp_exptmod_d(mp_int *a, mp_digit d, mp_int *m, mp_int *c) -{ - mp_int s, x; - mp_err res; - - ARGCHK(a != NULL && c != NULL, MP_BADARG); - - if((res = mp_init(&s)) != MP_OKAY) - return res; - if((res = mp_init_copy(&x, a)) != MP_OKAY) - goto X; - - mp_set(&s, 1); - - while(d != 0) { - if(d & 1) { - if((res = s_mp_mul(&s, &x)) != MP_OKAY || - (res = mp_mod(&s, m, &s)) != MP_OKAY) - goto CLEANUP; - } - - d /= 2; - - if((res = s_mp_sqr(&x)) != MP_OKAY || - (res = mp_mod(&x, m, &x)) != MP_OKAY) - goto CLEANUP; - } - - s_mp_exch(&s, c); - -CLEANUP: - mp_clear(&x); -X: - mp_clear(&s); - - return res; - -} /* end mp_exptmod_d() */ - -/* }}} */ -#endif /* if MP_MODARITH */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* {{{ Comparison functions */ - -/* {{{ mp_cmp_z(a) */ - -/* - mp_cmp_z(a) - - Compare a <=> 0. Returns <0 if a<0, 0 if a=0, >0 if a>0. - */ - -int mp_cmp_z(mp_int *a) -{ - if(SIGN(a) == MP_NEG) - return MP_LT; - else if(USED(a) == 1 && DIGIT(a, 0) == 0) - return MP_EQ; - else - return MP_GT; - -} /* end mp_cmp_z() */ - -/* }}} */ - -/* {{{ mp_cmp_d(a, d) */ - -/* - mp_cmp_d(a, d) - - Compare a <=> d. Returns <0 if a0 if a>d - */ - -int mp_cmp_d(mp_int *a, mp_digit d) -{ - ARGCHK(a != NULL, MP_EQ); - - if(SIGN(a) == MP_NEG) - return MP_LT; - - return s_mp_cmp_d(a, d); - -} /* end mp_cmp_d() */ - -/* }}} */ - -/* {{{ mp_cmp(a, b) */ - -int mp_cmp(mp_int *a, mp_int *b) -{ - ARGCHK(a != NULL && b != NULL, MP_EQ); - - if(SIGN(a) == SIGN(b)) { - int mag; - - if((mag = s_mp_cmp(a, b)) == MP_EQ) - return MP_EQ; - - if(SIGN(a) == MP_ZPOS) - return mag; - else - return -mag; - - } else if(SIGN(a) == MP_ZPOS) { - return MP_GT; - } else { - return MP_LT; - } - -} /* end mp_cmp() */ - -/* }}} */ - -/* {{{ mp_cmp_mag(a, b) */ - -/* - mp_cmp_mag(a, b) - - Compares |a| <=> |b|, and returns an appropriate comparison result - */ - -int mp_cmp_mag(mp_int *a, mp_int *b) -{ - ARGCHK(a != NULL && b != NULL, MP_EQ); - - return s_mp_cmp(a, b); - -} /* end mp_cmp_mag() */ - -/* }}} */ - -/* {{{ mp_cmp_int(a, z) */ - -/* - This just converts z to an mp_int, and uses the existing comparison - routines. This is sort of inefficient, but it's not clear to me how - frequently this wil get used anyway. For small positive constants, - you can always use mp_cmp_d(), and for zero, there is mp_cmp_z(). - */ -int mp_cmp_int(mp_int *a, long z) -{ - mp_int tmp; - int out; - - ARGCHK(a != NULL, MP_EQ); - - mp_init(&tmp); mp_set_int(&tmp, z); - out = mp_cmp(a, &tmp); - mp_clear(&tmp); - - return out; - -} /* end mp_cmp_int() */ - -/* }}} */ - -/* {{{ mp_isodd(a) */ - -/* - mp_isodd(a) - - Returns a true (non-zero) value if a is odd, false (zero) otherwise. - */ -int mp_isodd(mp_int *a) -{ - ARGCHK(a != NULL, 0); - - return (DIGIT(a, 0) & 1); - -} /* end mp_isodd() */ - -/* }}} */ - -/* {{{ mp_iseven(a) */ - -int mp_iseven(mp_int *a) -{ - return !mp_isodd(a); - -} /* end mp_iseven() */ - -/* }}} */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* {{{ Number theoretic functions */ - -#if MP_NUMTH -/* {{{ mp_gcd(a, b, c) */ - -/* - Like the old mp_gcd() function, except computes the GCD using the - binary algorithm due to Josef Stein in 1961 (via Knuth). - */ -mp_err mp_gcd(mp_int *a, mp_int *b, mp_int *c) -{ - mp_err res; - mp_int u, v, t; - mp_size k = 0; - - ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); - - if(mp_cmp_z(a) == MP_EQ && mp_cmp_z(b) == MP_EQ) - return MP_RANGE; - if(mp_cmp_z(a) == MP_EQ) { - return mp_copy(b, c); - } else if(mp_cmp_z(b) == MP_EQ) { - return mp_copy(a, c); - } - - if((res = mp_init(&t)) != MP_OKAY) - return res; - if((res = mp_init_copy(&u, a)) != MP_OKAY) - goto U; - if((res = mp_init_copy(&v, b)) != MP_OKAY) - goto V; - - SIGN(&u) = MP_ZPOS; - SIGN(&v) = MP_ZPOS; - - /* Divide out common factors of 2 until at least 1 of a, b is even */ - while(mp_iseven(&u) && mp_iseven(&v)) { - s_mp_div_2(&u); - s_mp_div_2(&v); - ++k; - } - - /* Initialize t */ - if(mp_isodd(&u)) { - if((res = mp_copy(&v, &t)) != MP_OKAY) - goto CLEANUP; - - /* t = -v */ - if(SIGN(&v) == MP_ZPOS) - SIGN(&t) = MP_NEG; - else - SIGN(&t) = MP_ZPOS; - - } else { - if((res = mp_copy(&u, &t)) != MP_OKAY) - goto CLEANUP; - - } - - for(;;) { - while(mp_iseven(&t)) { - s_mp_div_2(&t); - } - - if(mp_cmp_z(&t) == MP_GT) { - if((res = mp_copy(&t, &u)) != MP_OKAY) - goto CLEANUP; - - } else { - if((res = mp_copy(&t, &v)) != MP_OKAY) - goto CLEANUP; - - /* v = -t */ - if(SIGN(&t) == MP_ZPOS) - SIGN(&v) = MP_NEG; - else - SIGN(&v) = MP_ZPOS; - } - - if((res = mp_sub(&u, &v, &t)) != MP_OKAY) - goto CLEANUP; - - if(s_mp_cmp_d(&t, 0) == MP_EQ) - break; - } - - s_mp_2expt(&v, k); /* v = 2^k */ - res = mp_mul(&u, &v, c); /* c = u * v */ - - CLEANUP: - mp_clear(&v); - V: - mp_clear(&u); - U: - mp_clear(&t); - - return res; - -} /* end mp_bgcd() */ - -/* }}} */ - -/* {{{ mp_lcm(a, b, c) */ - -/* We compute the least common multiple using the rule: - - ab = [a, b](a, b) - - ... by computing the product, and dividing out the gcd. - */ - -mp_err mp_lcm(mp_int *a, mp_int *b, mp_int *c) -{ - mp_int gcd, prod; - mp_err res; - - ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); - - /* Set up temporaries */ - if((res = mp_init(&gcd)) != MP_OKAY) - return res; - if((res = mp_init(&prod)) != MP_OKAY) - goto GCD; - - if((res = mp_mul(a, b, &prod)) != MP_OKAY) - goto CLEANUP; - if((res = mp_gcd(a, b, &gcd)) != MP_OKAY) - goto CLEANUP; - - res = mp_div(&prod, &gcd, c, NULL); - - CLEANUP: - mp_clear(&prod); - GCD: - mp_clear(&gcd); - - return res; - -} /* end mp_lcm() */ - -/* }}} */ - -/* {{{ mp_xgcd(a, b, g, x, y) */ - -/* - mp_xgcd(a, b, g, x, y) - - Compute g = (a, b) and values x and y satisfying Bezout's identity - (that is, ax + by = g). This uses the extended binary GCD algorithm - based on the Stein algorithm used for mp_gcd() - */ - -mp_err mp_xgcd(mp_int *a, mp_int *b, mp_int *g, mp_int *x, mp_int *y) -{ - mp_int gx, xc, yc, u, v, A, B, C, D; - mp_int *clean[9]; - mp_err res; - int last = -1; - - if(mp_cmp_z(b) == 0) - return MP_RANGE; - - /* Initialize all these variables we need */ - if((res = mp_init(&u)) != MP_OKAY) goto CLEANUP; - clean[++last] = &u; - if((res = mp_init(&v)) != MP_OKAY) goto CLEANUP; - clean[++last] = &v; - if((res = mp_init(&gx)) != MP_OKAY) goto CLEANUP; - clean[++last] = &gx; - if((res = mp_init(&A)) != MP_OKAY) goto CLEANUP; - clean[++last] = &A; - if((res = mp_init(&B)) != MP_OKAY) goto CLEANUP; - clean[++last] = &B; - if((res = mp_init(&C)) != MP_OKAY) goto CLEANUP; - clean[++last] = &C; - if((res = mp_init(&D)) != MP_OKAY) goto CLEANUP; - clean[++last] = &D; - if((res = mp_init_copy(&xc, a)) != MP_OKAY) goto CLEANUP; - clean[++last] = &xc; - mp_abs(&xc, &xc); - if((res = mp_init_copy(&yc, b)) != MP_OKAY) goto CLEANUP; - clean[++last] = &yc; - mp_abs(&yc, &yc); - - mp_set(&gx, 1); - - /* Divide by two until at least one of them is even */ - while(mp_iseven(&xc) && mp_iseven(&yc)) { - s_mp_div_2(&xc); - s_mp_div_2(&yc); - if((res = s_mp_mul_2(&gx)) != MP_OKAY) - goto CLEANUP; - } - - mp_copy(&xc, &u); - mp_copy(&yc, &v); - mp_set(&A, 1); mp_set(&D, 1); - - /* Loop through binary GCD algorithm */ - for(;;) { - while(mp_iseven(&u)) { - s_mp_div_2(&u); - - if(mp_iseven(&A) && mp_iseven(&B)) { - s_mp_div_2(&A); s_mp_div_2(&B); - } else { - if((res = mp_add(&A, &yc, &A)) != MP_OKAY) goto CLEANUP; - s_mp_div_2(&A); - if((res = mp_sub(&B, &xc, &B)) != MP_OKAY) goto CLEANUP; - s_mp_div_2(&B); - } - } - - while(mp_iseven(&v)) { - s_mp_div_2(&v); - - if(mp_iseven(&C) && mp_iseven(&D)) { - s_mp_div_2(&C); s_mp_div_2(&D); - } else { - if((res = mp_add(&C, &yc, &C)) != MP_OKAY) goto CLEANUP; - s_mp_div_2(&C); - if((res = mp_sub(&D, &xc, &D)) != MP_OKAY) goto CLEANUP; - s_mp_div_2(&D); - } - } - - if(mp_cmp(&u, &v) >= 0) { - if((res = mp_sub(&u, &v, &u)) != MP_OKAY) goto CLEANUP; - if((res = mp_sub(&A, &C, &A)) != MP_OKAY) goto CLEANUP; - if((res = mp_sub(&B, &D, &B)) != MP_OKAY) goto CLEANUP; - - } else { - if((res = mp_sub(&v, &u, &v)) != MP_OKAY) goto CLEANUP; - if((res = mp_sub(&C, &A, &C)) != MP_OKAY) goto CLEANUP; - if((res = mp_sub(&D, &B, &D)) != MP_OKAY) goto CLEANUP; - - } - - /* If we're done, copy results to output */ - if(mp_cmp_z(&u) == 0) { - if(x) - if((res = mp_copy(&C, x)) != MP_OKAY) goto CLEANUP; - - if(y) - if((res = mp_copy(&D, y)) != MP_OKAY) goto CLEANUP; - - if(g) - if((res = mp_mul(&gx, &v, g)) != MP_OKAY) goto CLEANUP; - - break; - } - } - - CLEANUP: - while(last >= 0) - mp_clear(clean[last--]); - - return res; - -} /* end mp_xgcd() */ - -/* }}} */ - -/* {{{ mp_invmod(a, m, c) */ - -/* - mp_invmod(a, m, c) - - Compute c = a^-1 (mod m), if there is an inverse for a (mod m). - This is equivalent to the question of whether (a, m) = 1. If not, - MP_UNDEF is returned, and there is no inverse. - */ - -mp_err mp_invmod(mp_int *a, mp_int *m, mp_int *c) -{ - mp_int g, x; - mp_err res; - - ARGCHK(a && m && c, MP_BADARG); - - if(mp_cmp_z(a) == 0 || mp_cmp_z(m) == 0) - return MP_RANGE; - - if((res = mp_init(&g)) != MP_OKAY) - return res; - if((res = mp_init(&x)) != MP_OKAY) - goto X; - - if((res = mp_xgcd(a, m, &g, &x, NULL)) != MP_OKAY) - goto CLEANUP; - - if(mp_cmp_d(&g, 1) != MP_EQ) { - res = MP_UNDEF; - goto CLEANUP; - } - - res = mp_mod(&x, m, c); - SIGN(c) = SIGN(a); - -CLEANUP: - mp_clear(&x); -X: - mp_clear(&g); - - return res; - -} /* end mp_invmod() */ - -/* }}} */ -#endif /* if MP_NUMTH */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* {{{ mp_print(mp, ofp) */ - -#if MP_IOFUNC -/* - mp_print(mp, ofp) - - Print a textual representation of the given mp_int on the output - stream 'ofp'. Output is generated using the internal radix. - */ - -void mp_print(mp_int *mp, FILE *ofp) -{ - int ix; - - if(mp == NULL || ofp == NULL) - return; - - fputc((SIGN(mp) == MP_NEG) ? '-' : '+', ofp); - - for(ix = USED(mp) - 1; ix >= 0; ix--) { - fprintf(ofp, DIGIT_FMT, DIGIT(mp, ix)); - } - -} /* end mp_print() */ - -#endif /* if MP_IOFUNC */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* {{{ More I/O Functions */ - -/* {{{ mp_read_signed_bin(mp, str, len) */ - -/* - mp_read_signed_bin(mp, str, len) - - Read in a raw value (base 256) into the given mp_int - */ - -mp_err mp_read_signed_bin(mp_int *mp, unsigned char *str, int len) -{ - mp_err res; - - ARGCHK(mp != NULL && str != NULL && len > 0, MP_BADARG); - - if((res = mp_read_unsigned_bin(mp, str + 1, len - 1)) == MP_OKAY) { - /* Get sign from first byte */ - if(str[0]) - SIGN(mp) = MP_NEG; - else - SIGN(mp) = MP_ZPOS; - } - - return res; - -} /* end mp_read_signed_bin() */ - -/* }}} */ - -/* {{{ mp_signed_bin_size(mp) */ - -int mp_signed_bin_size(mp_int *mp) -{ - ARGCHK(mp != NULL, 0); - - return mp_unsigned_bin_size(mp) + 1; - -} /* end mp_signed_bin_size() */ - -/* }}} */ - -/* {{{ mp_to_signed_bin(mp, str) */ - -mp_err mp_to_signed_bin(mp_int *mp, unsigned char *str) -{ - ARGCHK(mp != NULL && str != NULL, MP_BADARG); - - /* Caller responsible for allocating enough memory (use mp_raw_size(mp)) */ - str[0] = (char)SIGN(mp); - - return mp_to_unsigned_bin(mp, str + 1); - -} /* end mp_to_signed_bin() */ - -/* }}} */ - -/* {{{ mp_read_unsigned_bin(mp, str, len) */ - -/* - mp_read_unsigned_bin(mp, str, len) - - Read in an unsigned value (base 256) into the given mp_int - */ - -mp_err mp_read_unsigned_bin(mp_int *mp, unsigned char *str, int len) -{ - int ix; - mp_err res; - - ARGCHK(mp != NULL && str != NULL && len > 0, MP_BADARG); - - mp_zero(mp); - - for(ix = 0; ix < len; ix++) { - if((res = s_mp_mul_2d(mp, CHAR_BIT)) != MP_OKAY) - return res; - - if((res = mp_add_d(mp, str[ix], mp)) != MP_OKAY) - return res; - } - - return MP_OKAY; - -} /* end mp_read_unsigned_bin() */ - -/* }}} */ - -/* {{{ mp_unsigned_bin_size(mp) */ - -int mp_unsigned_bin_size(mp_int *mp) -{ - mp_digit topdig; - int count; - - ARGCHK(mp != NULL, 0); - - /* Special case for the value zero */ - if(USED(mp) == 1 && DIGIT(mp, 0) == 0) - return 1; - - count = (USED(mp) - 1) * sizeof(mp_digit); - topdig = DIGIT(mp, USED(mp) - 1); - - while(topdig != 0) { - ++count; - topdig >>= CHAR_BIT; - } - - return count; - -} /* end mp_unsigned_bin_size() */ - -/* }}} */ - -/* {{{ mp_to_unsigned_bin(mp, str) */ - -mp_err mp_to_unsigned_bin(mp_int *mp, unsigned char *str) -{ - mp_digit *dp, *end, d; - unsigned char *spos; - - ARGCHK(mp != NULL && str != NULL, MP_BADARG); - - dp = DIGITS(mp); - end = dp + USED(mp) - 1; - spos = str; - - /* Special case for zero, quick test */ - if(dp == end && *dp == 0) { - *str = '\0'; - return MP_OKAY; - } - - /* Generate digits in reverse order */ - while(dp < end) { - int ix; - - d = *dp; - for(ix = 0; ix < sizeof(mp_digit); ++ix) { - *spos = d & UCHAR_MAX; - d >>= CHAR_BIT; - ++spos; - } - - ++dp; - } - - /* Now handle last digit specially, high order zeroes are not written */ - d = *end; - while(d != 0) { - *spos = d & UCHAR_MAX; - d >>= CHAR_BIT; - ++spos; - } - - /* Reverse everything to get digits in the correct order */ - while(--spos > str) { - unsigned char t = *str; - *str = *spos; - *spos = t; - - ++str; - } - - return MP_OKAY; - -} /* end mp_to_unsigned_bin() */ - -/* }}} */ - -/* {{{ mp_count_bits(mp) */ - -int mp_count_bits(mp_int *mp) -{ - int len; - mp_digit d; - - ARGCHK(mp != NULL, MP_BADARG); - - len = DIGIT_BIT * (USED(mp) - 1); - d = DIGIT(mp, USED(mp) - 1); - - while(d != 0) { - ++len; - d >>= 1; - } - - return len; - -} /* end mp_count_bits() */ - -/* }}} */ - -/* {{{ mp_read_radix(mp, str, radix) */ - -/* - mp_read_radix(mp, str, radix) - - Read an integer from the given string, and set mp to the resulting - value. The input is presumed to be in base 10. Leading non-digit - characters are ignored, and the function reads until a non-digit - character or the end of the string. - */ - -mp_err mp_read_radix(mp_int *mp, unsigned char *str, int radix) -{ - int ix = 0, val = 0; - mp_err res; - mp_sign sig = MP_ZPOS; - - ARGCHK(mp != NULL && str != NULL && radix >= 2 && radix <= MAX_RADIX, - MP_BADARG); - - mp_zero(mp); - - /* Skip leading non-digit characters until a digit or '-' or '+' */ - while(str[ix] && - (s_mp_tovalue(str[ix], radix) < 0) && - str[ix] != '-' && - str[ix] != '+') { - ++ix; - } - - if(str[ix] == '-') { - sig = MP_NEG; - ++ix; - } else if(str[ix] == '+') { - sig = MP_ZPOS; /* this is the default anyway... */ - ++ix; - } - - while((val = s_mp_tovalue(str[ix], radix)) >= 0) { - if((res = s_mp_mul_d(mp, radix)) != MP_OKAY) - return res; - if((res = s_mp_add_d(mp, val)) != MP_OKAY) - return res; - ++ix; - } - - if(s_mp_cmp_d(mp, 0) == MP_EQ) - SIGN(mp) = MP_ZPOS; - else - SIGN(mp) = sig; - - return MP_OKAY; - -} /* end mp_read_radix() */ - -/* }}} */ - -/* {{{ mp_radix_size(mp, radix) */ - -int mp_radix_size(mp_int *mp, int radix) -{ - int len; - ARGCHK(mp != NULL, 0); - - len = s_mp_outlen(mp_count_bits(mp), radix) + 1; /* for NUL terminator */ - - if(mp_cmp_z(mp) < 0) - ++len; /* for sign */ - - return len; - -} /* end mp_radix_size() */ - -/* }}} */ - -/* {{{ mp_value_radix_size(num, qty, radix) */ - -/* num = number of digits - qty = number of bits per digit - radix = target base - - Return the number of digits in the specified radix that would be - needed to express 'num' digits of 'qty' bits each. - */ -int mp_value_radix_size(int num, int qty, int radix) -{ - ARGCHK(num >= 0 && qty > 0 && radix >= 2 && radix <= MAX_RADIX, 0); - - return s_mp_outlen(num * qty, radix); - -} /* end mp_value_radix_size() */ - -/* }}} */ - -/* {{{ mp_toradix(mp, str, radix) */ - -mp_err mp_toradix(mp_int *mp, unsigned char *str, int radix) -{ - int ix, pos = 0; - - ARGCHK(mp != NULL && str != NULL, MP_BADARG); - ARGCHK(radix > 1 && radix <= MAX_RADIX, MP_RANGE); - - if(mp_cmp_z(mp) == MP_EQ) { - str[0] = '0'; - str[1] = '\0'; - } else { - mp_err res; - mp_int tmp; - mp_sign sgn; - mp_digit rem, rdx = (mp_digit)radix; - char ch; - - if((res = mp_init_copy(&tmp, mp)) != MP_OKAY) - return res; - - /* Save sign for later, and take absolute value */ - sgn = SIGN(&tmp); SIGN(&tmp) = MP_ZPOS; - - /* Generate output digits in reverse order */ - while(mp_cmp_z(&tmp) != 0) { - if((res = s_mp_div_d(&tmp, rdx, &rem)) != MP_OKAY) { - mp_clear(&tmp); - return res; - } - - /* Generate digits, use capital letters */ - ch = s_mp_todigit(rem, radix, 0); - - str[pos++] = ch; - } - - /* Add - sign if original value was negative */ - if(sgn == MP_NEG) - str[pos++] = '-'; - - /* Add trailing NUL to end the string */ - str[pos--] = '\0'; - - /* Reverse the digits and sign indicator */ - ix = 0; - while(ix < pos) { - char tmp = str[ix]; - - str[ix] = str[pos]; - str[pos] = tmp; - ++ix; - --pos; - } - - mp_clear(&tmp); - } - - return MP_OKAY; - -} /* end mp_toradix() */ - -/* }}} */ - -/* {{{ mp_char2value(ch, r) */ - -int mp_char2value(char ch, int r) -{ - return s_mp_tovalue(ch, r); - -} /* end mp_tovalue() */ - -/* }}} */ - -/* }}} */ - -/* {{{ mp_strerror(ec) */ - -/* - mp_strerror(ec) - - Return a string describing the meaning of error code 'ec'. The - string returned is allocated in static memory, so the caller should - not attempt to modify or free the memory associated with this - string. - */ -const char *mp_strerror(mp_err ec) -{ - int aec = (ec < 0) ? -ec : ec; - - /* Code values are negative, so the senses of these comparisons - are accurate */ - if(ec < MP_LAST_CODE || ec > MP_OKAY) { - return mp_err_string[0]; /* unknown error code */ - } else { - return mp_err_string[aec + 1]; - } - -} /* end mp_strerror() */ - -/* }}} */ - -/*========================================================================*/ -/*------------------------------------------------------------------------*/ -/* Static function definitions (internal use only) */ - -/* {{{ Memory management */ - -/* {{{ s_mp_grow(mp, min) */ - -/* Make sure there are at least 'min' digits allocated to mp */ -mp_err s_mp_grow(mp_int *mp, mp_size min) -{ - if(min > ALLOC(mp)) { - mp_digit *tmp; - - /* Set min to next nearest default precision block size */ - min = ((min + (s_mp_defprec - 1)) / s_mp_defprec) * s_mp_defprec; - - if((tmp = s_mp_alloc(min, sizeof(mp_digit))) == NULL) - return MP_MEM; - - s_mp_copy(DIGITS(mp), tmp, USED(mp)); - -#if MP_CRYPTO - s_mp_setz(DIGITS(mp), ALLOC(mp)); -#endif - s_mp_free(DIGITS(mp)); - DIGITS(mp) = tmp; - ALLOC(mp) = min; - } - - return MP_OKAY; - -} /* end s_mp_grow() */ - -/* }}} */ - -/* {{{ s_mp_pad(mp, min) */ - -/* Make sure the used size of mp is at least 'min', growing if needed */ -mp_err s_mp_pad(mp_int *mp, mp_size min) -{ - if(min > USED(mp)) { - mp_err res; - - /* Make sure there is room to increase precision */ - if(min > ALLOC(mp) && (res = s_mp_grow(mp, min)) != MP_OKAY) - return res; - - /* Increase precision; should already be 0-filled */ - USED(mp) = min; - } - - return MP_OKAY; - -} /* end s_mp_pad() */ - -/* }}} */ - -/* {{{ s_mp_setz(dp, count) */ - -#if MP_MACRO == 0 -/* Set 'count' digits pointed to by dp to be zeroes */ -void s_mp_setz(mp_digit *dp, mp_size count) -{ -#if MP_MEMSET == 0 - int ix; - - for(ix = 0; ix < count; ix++) - dp[ix] = 0; -#else - memset(dp, 0, count * sizeof(mp_digit)); -#endif - -} /* end s_mp_setz() */ -#endif - -/* }}} */ - -/* {{{ s_mp_copy(sp, dp, count) */ - -#if MP_MACRO == 0 -/* Copy 'count' digits from sp to dp */ -void s_mp_copy(mp_digit *sp, mp_digit *dp, mp_size count) -{ -#if MP_MEMCPY == 0 - int ix; - - for(ix = 0; ix < count; ix++) - dp[ix] = sp[ix]; -#else - memcpy(dp, sp, count * sizeof(mp_digit)); -#endif - -} /* end s_mp_copy() */ -#endif - -/* }}} */ - -/* {{{ s_mp_alloc(nb, ni) */ - -#if MP_MACRO == 0 -/* Allocate ni records of nb bytes each, and return a pointer to that */ -void *s_mp_alloc(size_t nb, size_t ni) -{ - return calloc(nb, ni); - -} /* end s_mp_alloc() */ -#endif - -/* }}} */ - -/* {{{ s_mp_free(ptr) */ - -#if MP_MACRO == 0 -/* Free the memory pointed to by ptr */ -void s_mp_free(void *ptr) -{ - if(ptr) - free(ptr); - -} /* end s_mp_free() */ -#endif - -/* }}} */ - -/* {{{ s_mp_clamp(mp) */ - -/* Remove leading zeroes from the given value */ -void s_mp_clamp(mp_int *mp) -{ - mp_size du = USED(mp); - mp_digit *zp = DIGITS(mp) + du - 1; - - while(du > 1 && !*zp--) - --du; - - USED(mp) = du; - -} /* end s_mp_clamp() */ - - -/* }}} */ - -/* {{{ s_mp_exch(a, b) */ - -/* Exchange the data for a and b; (b, a) = (a, b) */ -void s_mp_exch(mp_int *a, mp_int *b) -{ - mp_int tmp; - - tmp = *a; - *a = *b; - *b = tmp; - -} /* end s_mp_exch() */ - -/* }}} */ - -/* }}} */ - -/* {{{ Arithmetic helpers */ - -/* {{{ s_mp_lshd(mp, p) */ - -/* - Shift mp leftward by p digits, growing if needed, and zero-filling - the in-shifted digits at the right end. This is a convenient - alternative to multiplication by powers of the radix - */ - -mp_err s_mp_lshd(mp_int *mp, mp_size p) -{ - mp_err res; - mp_size pos; - mp_digit *dp; - int ix; - - if(p == 0) - return MP_OKAY; - - if((res = s_mp_pad(mp, USED(mp) + p)) != MP_OKAY) - return res; - - pos = USED(mp) - 1; - dp = DIGITS(mp); - - /* Shift all the significant figures over as needed */ - for(ix = pos - p; ix >= 0; ix--) - dp[ix + p] = dp[ix]; - - /* Fill the bottom digits with zeroes */ - for(ix = 0; ix < p; ix++) - dp[ix] = 0; - - return MP_OKAY; - -} /* end s_mp_lshd() */ - -/* }}} */ - -/* {{{ s_mp_rshd(mp, p) */ - -/* - Shift mp rightward by p digits. Maintains the invariant that - digits above the precision are all zero. Digits shifted off the - end are lost. Cannot fail. - */ - -void s_mp_rshd(mp_int *mp, mp_size p) -{ - mp_size ix; - mp_digit *dp; - - if(p == 0) - return; - - /* Shortcut when all digits are to be shifted off */ - if(p >= USED(mp)) { - s_mp_setz(DIGITS(mp), ALLOC(mp)); - USED(mp) = 1; - SIGN(mp) = MP_ZPOS; - return; - } - - /* Shift all the significant figures over as needed */ - dp = DIGITS(mp); - for(ix = p; ix < USED(mp); ix++) - dp[ix - p] = dp[ix]; - - /* Fill the top digits with zeroes */ - ix -= p; - while(ix < USED(mp)) - dp[ix++] = 0; - - /* Strip off any leading zeroes */ - s_mp_clamp(mp); - -} /* end s_mp_rshd() */ - -/* }}} */ - -/* {{{ s_mp_div_2(mp) */ - -/* Divide by two -- take advantage of radix properties to do it fast */ -void s_mp_div_2(mp_int *mp) -{ - s_mp_div_2d(mp, 1); - -} /* end s_mp_div_2() */ - -/* }}} */ - -/* {{{ s_mp_mul_2(mp) */ - -mp_err s_mp_mul_2(mp_int *mp) -{ - int ix; - mp_digit kin = 0, kout, *dp = DIGITS(mp); - mp_err res; - - /* Shift digits leftward by 1 bit */ - for(ix = 0; ix < USED(mp); ix++) { - kout = (dp[ix] >> (DIGIT_BIT - 1)) & 1; - dp[ix] = (dp[ix] << 1) | kin; - - kin = kout; - } - - /* Deal with rollover from last digit */ - if(kin) { - if(ix >= ALLOC(mp)) { - if((res = s_mp_grow(mp, ALLOC(mp) + 1)) != MP_OKAY) - return res; - dp = DIGITS(mp); - } - - dp[ix] = kin; - USED(mp) += 1; - } - - return MP_OKAY; - -} /* end s_mp_mul_2() */ - -/* }}} */ - -/* {{{ s_mp_mod_2d(mp, d) */ - -/* - Remainder the integer by 2^d, where d is a number of bits. This - amounts to a bitwise AND of the value, and does not require the full - division code - */ -void s_mp_mod_2d(mp_int *mp, mp_digit d) -{ - unsigned int ndig = (d / DIGIT_BIT), nbit = (d % DIGIT_BIT); - unsigned int ix; - mp_digit dmask, *dp = DIGITS(mp); - - if(ndig >= USED(mp)) - return; - - /* Flush all the bits above 2^d in its digit */ - dmask = (1 << nbit) - 1; - dp[ndig] &= dmask; - - /* Flush all digits above the one with 2^d in it */ - for(ix = ndig + 1; ix < USED(mp); ix++) - dp[ix] = 0; - - s_mp_clamp(mp); - -} /* end s_mp_mod_2d() */ - -/* }}} */ - -/* {{{ s_mp_mul_2d(mp, d) */ - -/* - Multiply by the integer 2^d, where d is a number of bits. This - amounts to a bitwise shift of the value, and does not require the - full multiplication code. - */ -mp_err s_mp_mul_2d(mp_int *mp, mp_digit d) -{ - mp_err res; - mp_digit save, next, mask, *dp; - mp_size used; - int ix; - - if((res = s_mp_lshd(mp, d / DIGIT_BIT)) != MP_OKAY) - return res; - - dp = DIGITS(mp); used = USED(mp); - d %= DIGIT_BIT; - - mask = (1 << d) - 1; - - /* If the shift requires another digit, make sure we've got one to - work with */ - if((dp[used - 1] >> (DIGIT_BIT - d)) & mask) { - if((res = s_mp_grow(mp, used + 1)) != MP_OKAY) - return res; - dp = DIGITS(mp); - } - - /* Do the shifting... */ - save = 0; - for(ix = 0; ix < used; ix++) { - next = (dp[ix] >> (DIGIT_BIT - d)) & mask; - dp[ix] = (dp[ix] << d) | save; - save = next; - } - - /* If, at this point, we have a nonzero carryout into the next - digit, we'll increase the size by one digit, and store it... - */ - if(save) { - dp[used] = save; - USED(mp) += 1; - } - - s_mp_clamp(mp); - return MP_OKAY; - -} /* end s_mp_mul_2d() */ - -/* }}} */ - -/* {{{ s_mp_div_2d(mp, d) */ - -/* - Divide the integer by 2^d, where d is a number of bits. This - amounts to a bitwise shift of the value, and does not require the - full division code (used in Barrett reduction, see below) - */ -void s_mp_div_2d(mp_int *mp, mp_digit d) -{ - int ix; - mp_digit save, next, mask, *dp = DIGITS(mp); - - s_mp_rshd(mp, d / DIGIT_BIT); - d %= DIGIT_BIT; - - mask = (1 << d) - 1; - - save = 0; - for(ix = USED(mp) - 1; ix >= 0; ix--) { - next = dp[ix] & mask; - dp[ix] = (dp[ix] >> d) | (save << (DIGIT_BIT - d)); - save = next; - } - - s_mp_clamp(mp); - -} /* end s_mp_div_2d() */ - -/* }}} */ - -/* {{{ s_mp_norm(a, b) */ - -/* - s_mp_norm(a, b) - - Normalize a and b for division, where b is the divisor. In order - that we might make good guesses for quotient digits, we want the - leading digit of b to be at least half the radix, which we - accomplish by multiplying a and b by a constant. This constant is - returned (so that it can be divided back out of the remainder at the - end of the division process). - - We multiply by the smallest power of 2 that gives us a leading digit - at least half the radix. By choosing a power of 2, we simplify the - multiplication and division steps to simple shifts. - */ -mp_digit s_mp_norm(mp_int *a, mp_int *b) -{ - mp_digit t, d = 0; - - t = DIGIT(b, USED(b) - 1); - while(t < (RADIX / 2)) { - t <<= 1; - ++d; - } - - if(d != 0) { - s_mp_mul_2d(a, d); - s_mp_mul_2d(b, d); - } - - return d; - -} /* end s_mp_norm() */ - -/* }}} */ - -/* }}} */ - -/* {{{ Primitive digit arithmetic */ - -/* {{{ s_mp_add_d(mp, d) */ - -/* Add d to |mp| in place */ -mp_err s_mp_add_d(mp_int *mp, mp_digit d) /* unsigned digit addition */ -{ - mp_word w, k = 0; - mp_size ix = 1, used = USED(mp); - mp_digit *dp = DIGITS(mp); - - w = dp[0] + d; - dp[0] = ACCUM(w); - k = CARRYOUT(w); - - while(ix < used && k) { - w = dp[ix] + k; - dp[ix] = ACCUM(w); - k = CARRYOUT(w); - ++ix; - } - - if(k != 0) { - mp_err res; - - if((res = s_mp_pad(mp, USED(mp) + 1)) != MP_OKAY) - return res; - - DIGIT(mp, ix) = k; - } - - return MP_OKAY; - -} /* end s_mp_add_d() */ - -/* }}} */ - -/* {{{ s_mp_sub_d(mp, d) */ - -/* Subtract d from |mp| in place, assumes |mp| > d */ -mp_err s_mp_sub_d(mp_int *mp, mp_digit d) /* unsigned digit subtract */ -{ - mp_word w, b = 0; - mp_size ix = 1, used = USED(mp); - mp_digit *dp = DIGITS(mp); - - /* Compute initial subtraction */ - w = (RADIX + dp[0]) - d; - b = CARRYOUT(w) ? 0 : 1; - dp[0] = ACCUM(w); - - /* Propagate borrows leftward */ - while(b && ix < used) { - w = (RADIX + dp[ix]) - b; - b = CARRYOUT(w) ? 0 : 1; - dp[ix] = ACCUM(w); - ++ix; - } - - /* Remove leading zeroes */ - s_mp_clamp(mp); - - /* If we have a borrow out, it's a violation of the input invariant */ - if(b) - return MP_RANGE; - else - return MP_OKAY; - -} /* end s_mp_sub_d() */ - -/* }}} */ - -/* {{{ s_mp_mul_d(a, d) */ - -/* Compute a = a * d, single digit multiplication */ -mp_err s_mp_mul_d(mp_int *a, mp_digit d) -{ - mp_word w, k = 0; - mp_size ix, max; - mp_err res; - mp_digit *dp = DIGITS(a); - - /* - Single-digit multiplication will increase the precision of the - output by at most one digit. However, we can detect when this - will happen -- if the high-order digit of a, times d, gives a - two-digit result, then the precision of the result will increase; - otherwise it won't. We use this fact to avoid calling s_mp_pad() - unless absolutely necessary. - */ - max = USED(a); - w = dp[max - 1] * d; - if(CARRYOUT(w) != 0) { - if((res = s_mp_pad(a, max + 1)) != MP_OKAY) - return res; - dp = DIGITS(a); - } - - for(ix = 0; ix < max; ix++) { - w = (dp[ix] * d) + k; - dp[ix] = ACCUM(w); - k = CARRYOUT(w); - } - - /* If there is a precision increase, take care of it here; the above - test guarantees we have enough storage to do this safely. - */ - if(k) { - dp[max] = k; - USED(a) = max + 1; - } - - s_mp_clamp(a); - - return MP_OKAY; - -} /* end s_mp_mul_d() */ - -/* }}} */ - -/* {{{ s_mp_div_d(mp, d, r) */ - -/* - s_mp_div_d(mp, d, r) - - Compute the quotient mp = mp / d and remainder r = mp mod d, for a - single digit d. If r is null, the remainder will be discarded. - */ - -mp_err s_mp_div_d(mp_int *mp, mp_digit d, mp_digit *r) -{ - mp_word w = 0, t; - mp_int quot; - mp_err res; - mp_digit *dp = DIGITS(mp), *qp; - int ix; - - if(d == 0) - return MP_RANGE; - - /* Make room for the quotient */ - if((res = mp_init_size(", USED(mp))) != MP_OKAY) - return res; - - USED(") = USED(mp); /* so clamping will work below */ - qp = DIGITS("); - - /* Divide without subtraction */ - for(ix = USED(mp) - 1; ix >= 0; ix--) { - w = (w << DIGIT_BIT) | dp[ix]; - - if(w >= d) { - t = w / d; - w = w % d; - } else { - t = 0; - } - - qp[ix] = t; - } - - /* Deliver the remainder, if desired */ - if(r) - *r = w; - - s_mp_clamp("); - mp_exch(", mp); - mp_clear("); - - return MP_OKAY; - -} /* end s_mp_div_d() */ - -/* }}} */ - -/* }}} */ - -/* {{{ Primitive full arithmetic */ - -/* {{{ s_mp_add(a, b) */ - -/* Compute a = |a| + |b| */ -mp_err s_mp_add(mp_int *a, mp_int *b) /* magnitude addition */ -{ - mp_word w = 0; - mp_digit *pa, *pb; - mp_size ix, used = USED(b); - mp_err res; - - /* Make sure a has enough precision for the output value */ - if((used > USED(a)) && (res = s_mp_pad(a, used)) != MP_OKAY) - return res; - - /* - Add up all digits up to the precision of b. If b had initially - the same precision as a, or greater, we took care of it by the - padding step above, so there is no problem. If b had initially - less precision, we'll have to make sure the carry out is duly - propagated upward among the higher-order digits of the sum. - */ - pa = DIGITS(a); - pb = DIGITS(b); - for(ix = 0; ix < used; ++ix) { - w += *pa + *pb++; - *pa++ = ACCUM(w); - w = CARRYOUT(w); - } - - /* If we run out of 'b' digits before we're actually done, make - sure the carries get propagated upward... - */ - used = USED(a); - while(w && ix < used) { - w += *pa; - *pa++ = ACCUM(w); - w = CARRYOUT(w); - ++ix; - } - - /* If there's an overall carry out, increase precision and include - it. We could have done this initially, but why touch the memory - allocator unless we're sure we have to? - */ - if(w) { - if((res = s_mp_pad(a, used + 1)) != MP_OKAY) - return res; - - DIGIT(a, ix) = w; /* pa may not be valid after s_mp_pad() call */ - } - - return MP_OKAY; - -} /* end s_mp_add() */ - -/* }}} */ - -/* {{{ s_mp_sub(a, b) */ - -/* Compute a = |a| - |b|, assumes |a| >= |b| */ -mp_err s_mp_sub(mp_int *a, mp_int *b) /* magnitude subtract */ -{ - mp_word w = 0; - mp_digit *pa, *pb; - mp_size ix, used = USED(b); - - /* - Subtract and propagate borrow. Up to the precision of b, this - accounts for the digits of b; after that, we just make sure the - carries get to the right place. This saves having to pad b out to - the precision of a just to make the loops work right... - */ - pa = DIGITS(a); - pb = DIGITS(b); - - for(ix = 0; ix < used; ++ix) { - w = (RADIX + *pa) - w - *pb++; - *pa++ = ACCUM(w); - w = CARRYOUT(w) ? 0 : 1; - } - - used = USED(a); - while(ix < used) { - w = RADIX + *pa - w; - *pa++ = ACCUM(w); - w = CARRYOUT(w) ? 0 : 1; - ++ix; - } - - /* Clobber any leading zeroes we created */ - s_mp_clamp(a); - - /* - If there was a borrow out, then |b| > |a| in violation - of our input invariant. We've already done the work, - but we'll at least complain about it... - */ - if(w) - return MP_RANGE; - else - return MP_OKAY; - -} /* end s_mp_sub() */ - -/* }}} */ - -mp_err s_mp_reduce(mp_int *x, mp_int *m, mp_int *mu) -{ - mp_int q; - mp_err res; - mp_size um = USED(m); - - if((res = mp_init_copy(&q, x)) != MP_OKAY) - return res; - - s_mp_rshd(&q, um - 1); /* q1 = x / b^(k-1) */ - s_mp_mul(&q, mu); /* q2 = q1 * mu */ - s_mp_rshd(&q, um + 1); /* q3 = q2 / b^(k+1) */ - - /* x = x mod b^(k+1), quick (no division) */ - s_mp_mod_2d(x, (mp_digit)(DIGIT_BIT * (um + 1))); - - /* q = q * m mod b^(k+1), quick (no division), uses the short multiplier */ -#ifndef SHRT_MUL - s_mp_mul(&q, m); - s_mp_mod_2d(&q, (mp_digit)(DIGIT_BIT * (um + 1))); -#else - s_mp_mul_dig(&q, m, um + 1); -#endif - - /* x = x - q */ - if((res = mp_sub(x, &q, x)) != MP_OKAY) - goto CLEANUP; - - /* If x < 0, add b^(k+1) to it */ - if(mp_cmp_z(x) < 0) { - mp_set(&q, 1); - if((res = s_mp_lshd(&q, um + 1)) != MP_OKAY) - goto CLEANUP; - if((res = mp_add(x, &q, x)) != MP_OKAY) - goto CLEANUP; - } - - /* Back off if it's too big */ - while(mp_cmp(x, m) >= 0) { - if((res = s_mp_sub(x, m)) != MP_OKAY) - break; - } - - CLEANUP: - mp_clear(&q); - - return res; - -} /* end s_mp_reduce() */ - - - -/* {{{ s_mp_mul(a, b) */ - -/* Compute a = |a| * |b| */ -mp_err s_mp_mul(mp_int *a, mp_int *b) -{ - mp_word w, k = 0; - mp_int tmp; - mp_err res; - mp_size ix, jx, ua = USED(a), ub = USED(b); - mp_digit *pa, *pb, *pt, *pbt; - - if((res = mp_init_size(&tmp, ua + ub)) != MP_OKAY) - return res; - - /* This has the effect of left-padding with zeroes... */ - USED(&tmp) = ua + ub; - - /* We're going to need the base value each iteration */ - pbt = DIGITS(&tmp); - - /* Outer loop: Digits of b */ - - pb = DIGITS(b); - for(ix = 0; ix < ub; ++ix, ++pb) { - if(*pb == 0) - continue; - - /* Inner product: Digits of a */ - pa = DIGITS(a); - for(jx = 0; jx < ua; ++jx, ++pa) { - pt = pbt + ix + jx; - w = *pb * *pa + k + *pt; - *pt = ACCUM(w); - k = CARRYOUT(w); - } - - pbt[ix + jx] = k; - k = 0; - } - - s_mp_clamp(&tmp); - s_mp_exch(&tmp, a); - - mp_clear(&tmp); - - return MP_OKAY; - -} /* end s_mp_mul() */ - -/* }}} */ - -/* {{{ s_mp_kmul(a, b, out, len) */ - -#if 0 -void s_mp_kmul(mp_digit *a, mp_digit *b, mp_digit *out, mp_size len) -{ - mp_word w, k = 0; - mp_size ix, jx; - mp_digit *pa, *pt; - - for(ix = 0; ix < len; ++ix, ++b) { - if(*b == 0) - continue; - - pa = a; - for(jx = 0; jx < len; ++jx, ++pa) { - pt = out + ix + jx; - w = *b * *pa + k + *pt; - *pt = ACCUM(w); - k = CARRYOUT(w); - } - - out[ix + jx] = k; - k = 0; - } - -} /* end s_mp_kmul() */ -#endif - -/* }}} */ - -/* {{{ s_mp_sqr(a) */ - -/* - Computes the square of a, in place. This can be done more - efficiently than a general multiplication, because many of the - computation steps are redundant when squaring. The inner product - step is a bit more complicated, but we save a fair number of - iterations of the multiplication loop. - */ -#if MP_SQUARE -mp_err s_mp_sqr(mp_int *a) -{ - mp_word w, k = 0; - mp_int tmp; - mp_err res; - mp_size ix, jx, kx, used = USED(a); - mp_digit *pa1, *pa2, *pt, *pbt; - - if((res = mp_init_size(&tmp, 2 * used)) != MP_OKAY) - return res; - - /* Left-pad with zeroes */ - USED(&tmp) = 2 * used; - - /* We need the base value each time through the loop */ - pbt = DIGITS(&tmp); - - pa1 = DIGITS(a); - for(ix = 0; ix < used; ++ix, ++pa1) { - if(*pa1 == 0) - continue; - - w = DIGIT(&tmp, ix + ix) + (*pa1 * *pa1); - - pbt[ix + ix] = ACCUM(w); - k = CARRYOUT(w); - - /* - The inner product is computed as: - - (C, S) = t[i,j] + 2 a[i] a[j] + C - - This can overflow what can be represented in an mp_word, and - since C arithmetic does not provide any way to check for - overflow, we have to check explicitly for overflow conditions - before they happen. - */ - for(jx = ix + 1, pa2 = DIGITS(a) + jx; jx < used; ++jx, ++pa2) { - mp_word u = 0, v; - - /* Store this in a temporary to avoid indirections later */ - pt = pbt + ix + jx; - - /* Compute the multiplicative step */ - w = *pa1 * *pa2; - - /* If w is more than half MP_WORD_MAX, the doubling will - overflow, and we need to record a carry out into the next - word */ - u = (w >> (MP_WORD_BIT - 1)) & 1; - - /* Double what we've got, overflow will be ignored as defined - for C arithmetic (we've already noted if it is to occur) - */ - w *= 2; - - /* Compute the additive step */ - v = *pt + k; - - /* If we do not already have an overflow carry, check to see - if the addition will cause one, and set the carry out if so - */ - u |= ((MP_WORD_MAX - v) < w); - - /* Add in the rest, again ignoring overflow */ - w += v; - - /* Set the i,j digit of the output */ - *pt = ACCUM(w); - - /* Save carry information for the next iteration of the loop. - This is why k must be an mp_word, instead of an mp_digit */ - k = CARRYOUT(w) | (u << DIGIT_BIT); - - } /* for(jx ...) */ - - /* Set the last digit in the cycle and reset the carry */ - k = DIGIT(&tmp, ix + jx) + k; - pbt[ix + jx] = ACCUM(k); - k = CARRYOUT(k); - - /* If we are carrying out, propagate the carry to the next digit - in the output. This may cascade, so we have to be somewhat - circumspect -- but we will have enough precision in the output - that we won't overflow - */ - kx = 1; - while(k) { - k = pbt[ix + jx + kx] + 1; - pbt[ix + jx + kx] = ACCUM(k); - k = CARRYOUT(k); - ++kx; - } - } /* for(ix ...) */ - - s_mp_clamp(&tmp); - s_mp_exch(&tmp, a); - - mp_clear(&tmp); - - return MP_OKAY; - -} /* end s_mp_sqr() */ -#endif - -/* }}} */ - -/* {{{ s_mp_div(a, b) */ - -/* - s_mp_div(a, b) - - Compute a = a / b and b = a mod b. Assumes b > a. - */ - -mp_err s_mp_div(mp_int *a, mp_int *b) -{ - mp_int quot, rem, t; - mp_word q; - mp_err res; - mp_digit d; - int ix; - - if(mp_cmp_z(b) == 0) - return MP_RANGE; - - /* Shortcut if b is power of two */ - if((ix = s_mp_ispow2(b)) >= 0) { - mp_copy(a, b); /* need this for remainder */ - s_mp_div_2d(a, (mp_digit)ix); - s_mp_mod_2d(b, (mp_digit)ix); - - return MP_OKAY; - } - - /* Allocate space to store the quotient */ - if((res = mp_init_size(", USED(a))) != MP_OKAY) - return res; - - /* A working temporary for division */ - if((res = mp_init_size(&t, USED(a))) != MP_OKAY) - goto T; - - /* Allocate space for the remainder */ - if((res = mp_init_size(&rem, USED(a))) != MP_OKAY) - goto REM; - - /* Normalize to optimize guessing */ - d = s_mp_norm(a, b); - - /* Perform the division itself...woo! */ - ix = USED(a) - 1; - - while(ix >= 0) { - /* Find a partial substring of a which is at least b */ - while(s_mp_cmp(&rem, b) < 0 && ix >= 0) { - if((res = s_mp_lshd(&rem, 1)) != MP_OKAY) - goto CLEANUP; - - if((res = s_mp_lshd(", 1)) != MP_OKAY) - goto CLEANUP; - - DIGIT(&rem, 0) = DIGIT(a, ix); - s_mp_clamp(&rem); - --ix; - } - - /* If we didn't find one, we're finished dividing */ - if(s_mp_cmp(&rem, b) < 0) - break; - - /* Compute a guess for the next quotient digit */ - q = DIGIT(&rem, USED(&rem) - 1); - if(q <= DIGIT(b, USED(b) - 1) && USED(&rem) > 1) - q = (q << DIGIT_BIT) | DIGIT(&rem, USED(&rem) - 2); - - q /= DIGIT(b, USED(b) - 1); - - /* The guess can be as much as RADIX + 1 */ - if(q >= RADIX) - q = RADIX - 1; - - /* See what that multiplies out to */ - mp_copy(b, &t); - if((res = s_mp_mul_d(&t, q)) != MP_OKAY) - goto CLEANUP; - - /* - If it's too big, back it off. We should not have to do this - more than once, or, in rare cases, twice. Knuth describes a - method by which this could be reduced to a maximum of once, but - I didn't implement that here. - */ - while(s_mp_cmp(&t, &rem) > 0) { - --q; - s_mp_sub(&t, b); - } - - /* At this point, q should be the right next digit */ - if((res = s_mp_sub(&rem, &t)) != MP_OKAY) - goto CLEANUP; - - /* - Include the digit in the quotient. We allocated enough memory - for any quotient we could ever possibly get, so we should not - have to check for failures here - */ - DIGIT(", 0) = q; - } - - /* Denormalize remainder */ - if(d != 0) - s_mp_div_2d(&rem, d); - - s_mp_clamp("); - s_mp_clamp(&rem); - - /* Copy quotient back to output */ - s_mp_exch(", a); - - /* Copy remainder back to output */ - s_mp_exch(&rem, b); - -CLEANUP: - mp_clear(&rem); -REM: - mp_clear(&t); -T: - mp_clear("); - - return res; - -} /* end s_mp_div() */ - -/* }}} */ - -/* {{{ s_mp_2expt(a, k) */ - -mp_err s_mp_2expt(mp_int *a, mp_digit k) -{ - mp_err res; - mp_size dig, bit; - - dig = k / DIGIT_BIT; - bit = k % DIGIT_BIT; - - mp_zero(a); - if((res = s_mp_pad(a, dig + 1)) != MP_OKAY) - return res; - - DIGIT(a, dig) |= (1 << bit); - - return MP_OKAY; - -} /* end s_mp_2expt() */ - -/* }}} */ - - -/* }}} */ - -/* }}} */ - -/* {{{ Primitive comparisons */ - -/* {{{ s_mp_cmp(a, b) */ - -/* Compare |a| <=> |b|, return 0 if equal, <0 if a0 if a>b */ -int s_mp_cmp(mp_int *a, mp_int *b) -{ - mp_size ua = USED(a), ub = USED(b); - - if(ua > ub) - return MP_GT; - else if(ua < ub) - return MP_LT; - else { - int ix = ua - 1; - mp_digit *ap = DIGITS(a) + ix, *bp = DIGITS(b) + ix; - - while(ix >= 0) { - if(*ap > *bp) - return MP_GT; - else if(*ap < *bp) - return MP_LT; - - --ap; --bp; --ix; - } - - return MP_EQ; - } - -} /* end s_mp_cmp() */ - -/* }}} */ - -/* {{{ s_mp_cmp_d(a, d) */ - -/* Compare |a| <=> d, return 0 if equal, <0 if a0 if a>d */ -int s_mp_cmp_d(mp_int *a, mp_digit d) -{ - mp_size ua = USED(a); - mp_digit *ap = DIGITS(a); - - if(ua > 1) - return MP_GT; - - if(*ap < d) - return MP_LT; - else if(*ap > d) - return MP_GT; - else - return MP_EQ; - -} /* end s_mp_cmp_d() */ - -/* }}} */ - -/* {{{ s_mp_ispow2(v) */ - -/* - Returns -1 if the value is not a power of two; otherwise, it returns - k such that v = 2^k, i.e. lg(v). - */ -int s_mp_ispow2(mp_int *v) -{ - mp_digit d, *dp; - mp_size uv = USED(v); - int extra = 0, ix; - - d = DIGIT(v, uv - 1); /* most significant digit of v */ - - while(d && ((d & 1) == 0)) { - d >>= 1; - ++extra; - } - - if(d == 1) { - ix = uv - 2; - dp = DIGITS(v) + ix; - - while(ix >= 0) { - if(*dp) - return -1; /* not a power of two */ - - --dp; --ix; - } - - return ((uv - 1) * DIGIT_BIT) + extra; - } - - return -1; - -} /* end s_mp_ispow2() */ - -/* }}} */ - -/* {{{ s_mp_ispow2d(d) */ - -int s_mp_ispow2d(mp_digit d) -{ - int pow = 0; - - while((d & 1) == 0) { - ++pow; d >>= 1; - } - - if(d == 1) - return pow; - - return -1; - -} /* end s_mp_ispow2d() */ - -/* }}} */ - -/* }}} */ - -/* {{{ Primitive I/O helpers */ - -/* {{{ s_mp_tovalue(ch, r) */ - -/* - Convert the given character to its digit value, in the given radix. - If the given character is not understood in the given radix, -1 is - returned. Otherwise the digit's numeric value is returned. - - The results will be odd if you use a radix < 2 or > 62, you are - expected to know what you're up to. - */ -int s_mp_tovalue(char ch, int r) -{ - int val, xch; - - if(r > 36) - xch = ch; - else - xch = toupper(ch); - - if(isdigit(xch)) - val = xch - '0'; - else if(isupper(xch)) - val = xch - 'A' + 10; - else if(islower(xch)) - val = xch - 'a' + 36; - else if(xch == '+') - val = 62; - else if(xch == '/') - val = 63; - else - return -1; - - if(val < 0 || val >= r) - return -1; - - return val; - -} /* end s_mp_tovalue() */ - -/* }}} */ - -/* {{{ s_mp_todigit(val, r, low) */ - -/* - Convert val to a radix-r digit, if possible. If val is out of range - for r, returns zero. Otherwise, returns an ASCII character denoting - the value in the given radix. - - The results may be odd if you use a radix < 2 or > 64, you are - expected to know what you're doing. - */ - -char s_mp_todigit(int val, int r, int low) -{ - char ch; - - if(val < 0 || val >= r) - return 0; - - ch = s_dmap_1[val]; - - if(r <= 36 && low) - ch = tolower(ch); - - return ch; - -} /* end s_mp_todigit() */ - -/* }}} */ - -/* {{{ s_mp_outlen(bits, radix) */ - -/* - Return an estimate for how long a string is needed to hold a radix - r representation of a number with 'bits' significant bits. - - Does not include space for a sign or a NUL terminator. - */ -int s_mp_outlen(int bits, int r) -{ - return (int)((double)bits * LOG_V_2(r)); - -} /* end s_mp_outlen() */ - -/* }}} */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* HERE THERE BE DRAGONS */ -/* crc==4242132123, version==2, Sat Feb 02 06:43:52 2002 */ diff --git a/libtommath/mtest/mpi.h b/libtommath/mtest/mpi.h deleted file mode 100644 index 211421f..0000000 --- a/libtommath/mtest/mpi.h +++ /dev/null @@ -1,225 +0,0 @@ -/* - mpi.h - - by Michael J. Fromberger - Copyright (C) 1998 Michael J. Fromberger, All Rights Reserved - - Arbitrary precision integer arithmetic library - */ - -#ifndef _H_MPI_ -#define _H_MPI_ - -#include "mpi-config.h" - -#define MP_LT -1 -#define MP_EQ 0 -#define MP_GT 1 - -#if MP_DEBUG -#undef MP_IOFUNC -#define MP_IOFUNC 1 -#endif - -#if MP_IOFUNC -#include -#include -#endif - -#include - -#define MP_NEG 1 -#define MP_ZPOS 0 - -/* Included for compatibility... */ -#define NEG MP_NEG -#define ZPOS MP_ZPOS - -#define MP_OKAY 0 /* no error, all is well */ -#define MP_YES 0 /* yes (boolean result) */ -#define MP_NO -1 /* no (boolean result) */ -#define MP_MEM -2 /* out of memory */ -#define MP_RANGE -3 /* argument out of range */ -#define MP_BADARG -4 /* invalid parameter */ -#define MP_UNDEF -5 /* answer is undefined */ -#define MP_LAST_CODE MP_UNDEF - -#include "mpi-types.h" - -/* Included for compatibility... */ -#define DIGIT_BIT MP_DIGIT_BIT -#define DIGIT_MAX MP_DIGIT_MAX - -/* Macros for accessing the mp_int internals */ -#define SIGN(MP) ((MP)->sign) -#define USED(MP) ((MP)->used) -#define ALLOC(MP) ((MP)->alloc) -#define DIGITS(MP) ((MP)->dp) -#define DIGIT(MP,N) (MP)->dp[(N)] - -#if MP_ARGCHK == 1 -#define ARGCHK(X,Y) {if(!(X)){return (Y);}} -#elif MP_ARGCHK == 2 -#include -#define ARGCHK(X,Y) assert(X) -#else -#define ARGCHK(X,Y) /* */ -#endif - -/* This defines the maximum I/O base (minimum is 2) */ -#define MAX_RADIX 64 - -typedef struct { - mp_sign sign; /* sign of this quantity */ - mp_size alloc; /* how many digits allocated */ - mp_size used; /* how many digits used */ - mp_digit *dp; /* the digits themselves */ -} mp_int; - -/*------------------------------------------------------------------------*/ -/* Default precision */ - -unsigned int mp_get_prec(void); -void mp_set_prec(unsigned int prec); - -/*------------------------------------------------------------------------*/ -/* Memory management */ - -mp_err mp_init(mp_int *mp); -mp_err mp_init_array(mp_int mp[], int count); -mp_err mp_init_size(mp_int *mp, mp_size prec); -mp_err mp_init_copy(mp_int *mp, mp_int *from); -mp_err mp_copy(mp_int *from, mp_int *to); -void mp_exch(mp_int *mp1, mp_int *mp2); -void mp_clear(mp_int *mp); -void mp_clear_array(mp_int mp[], int count); -void mp_zero(mp_int *mp); -void mp_set(mp_int *mp, mp_digit d); -mp_err mp_set_int(mp_int *mp, long z); -mp_err mp_shrink(mp_int *a); - - -/*------------------------------------------------------------------------*/ -/* Single digit arithmetic */ - -mp_err mp_add_d(mp_int *a, mp_digit d, mp_int *b); -mp_err mp_sub_d(mp_int *a, mp_digit d, mp_int *b); -mp_err mp_mul_d(mp_int *a, mp_digit d, mp_int *b); -mp_err mp_mul_2(mp_int *a, mp_int *c); -mp_err mp_div_d(mp_int *a, mp_digit d, mp_int *q, mp_digit *r); -mp_err mp_div_2(mp_int *a, mp_int *c); -mp_err mp_expt_d(mp_int *a, mp_digit d, mp_int *c); - -/*------------------------------------------------------------------------*/ -/* Sign manipulations */ - -mp_err mp_abs(mp_int *a, mp_int *b); -mp_err mp_neg(mp_int *a, mp_int *b); - -/*------------------------------------------------------------------------*/ -/* Full arithmetic */ - -mp_err mp_add(mp_int *a, mp_int *b, mp_int *c); -mp_err mp_sub(mp_int *a, mp_int *b, mp_int *c); -mp_err mp_mul(mp_int *a, mp_int *b, mp_int *c); -mp_err mp_mul_2d(mp_int *a, mp_digit d, mp_int *c); -#if MP_SQUARE -mp_err mp_sqr(mp_int *a, mp_int *b); -#else -#define mp_sqr(a, b) mp_mul(a, a, b) -#endif -mp_err mp_div(mp_int *a, mp_int *b, mp_int *q, mp_int *r); -mp_err mp_div_2d(mp_int *a, mp_digit d, mp_int *q, mp_int *r); -mp_err mp_expt(mp_int *a, mp_int *b, mp_int *c); -mp_err mp_2expt(mp_int *a, mp_digit k); -mp_err mp_sqrt(mp_int *a, mp_int *b); - -/*------------------------------------------------------------------------*/ -/* Modular arithmetic */ - -#if MP_MODARITH -mp_err mp_mod(mp_int *a, mp_int *m, mp_int *c); -mp_err mp_mod_d(mp_int *a, mp_digit d, mp_digit *c); -mp_err mp_addmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c); -mp_err mp_submod(mp_int *a, mp_int *b, mp_int *m, mp_int *c); -mp_err mp_mulmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c); -#if MP_SQUARE -mp_err mp_sqrmod(mp_int *a, mp_int *m, mp_int *c); -#else -#define mp_sqrmod(a, m, c) mp_mulmod(a, a, m, c) -#endif -mp_err mp_exptmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c); -mp_err mp_exptmod_d(mp_int *a, mp_digit d, mp_int *m, mp_int *c); -#endif /* MP_MODARITH */ - -/*------------------------------------------------------------------------*/ -/* Comparisons */ - -int mp_cmp_z(mp_int *a); -int mp_cmp_d(mp_int *a, mp_digit d); -int mp_cmp(mp_int *a, mp_int *b); -int mp_cmp_mag(mp_int *a, mp_int *b); -int mp_cmp_int(mp_int *a, long z); -int mp_isodd(mp_int *a); -int mp_iseven(mp_int *a); - -/*------------------------------------------------------------------------*/ -/* Number theoretic */ - -#if MP_NUMTH -mp_err mp_gcd(mp_int *a, mp_int *b, mp_int *c); -mp_err mp_lcm(mp_int *a, mp_int *b, mp_int *c); -mp_err mp_xgcd(mp_int *a, mp_int *b, mp_int *g, mp_int *x, mp_int *y); -mp_err mp_invmod(mp_int *a, mp_int *m, mp_int *c); -#endif /* end MP_NUMTH */ - -/*------------------------------------------------------------------------*/ -/* Input and output */ - -#if MP_IOFUNC -void mp_print(mp_int *mp, FILE *ofp); -#endif /* end MP_IOFUNC */ - -/*------------------------------------------------------------------------*/ -/* Base conversion */ - -#define BITS 1 -#define BYTES CHAR_BIT - -mp_err mp_read_signed_bin(mp_int *mp, unsigned char *str, int len); -int mp_signed_bin_size(mp_int *mp); -mp_err mp_to_signed_bin(mp_int *mp, unsigned char *str); - -mp_err mp_read_unsigned_bin(mp_int *mp, unsigned char *str, int len); -int mp_unsigned_bin_size(mp_int *mp); -mp_err mp_to_unsigned_bin(mp_int *mp, unsigned char *str); - -int mp_count_bits(mp_int *mp); - -#if MP_COMPAT_MACROS -#define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len)) -#define mp_raw_size(mp) mp_signed_bin_size(mp) -#define mp_toraw(mp, str) mp_to_signed_bin((mp), (str)) -#define mp_read_mag(mp, str, len) mp_read_unsigned_bin((mp), (str), (len)) -#define mp_mag_size(mp) mp_unsigned_bin_size(mp) -#define mp_tomag(mp, str) mp_to_unsigned_bin((mp), (str)) -#endif - -mp_err mp_read_radix(mp_int *mp, unsigned char *str, int radix); -int mp_radix_size(mp_int *mp, int radix); -int mp_value_radix_size(int num, int qty, int radix); -mp_err mp_toradix(mp_int *mp, unsigned char *str, int radix); - -int mp_char2value(char ch, int r); - -#define mp_tobinary(M, S) mp_toradix((M), (S), 2) -#define mp_tooctal(M, S) mp_toradix((M), (S), 8) -#define mp_todecimal(M, S) mp_toradix((M), (S), 10) -#define mp_tohex(M, S) mp_toradix((M), (S), 16) - -/*------------------------------------------------------------------------*/ -/* Error strings */ - -const char *mp_strerror(mp_err ec); - -#endif /* end _H_MPI_ */ diff --git a/libtommath/mtest/mtest.c b/libtommath/mtest/mtest.c deleted file mode 100644 index d46f456..0000000 --- a/libtommath/mtest/mtest.c +++ /dev/null @@ -1,304 +0,0 @@ -/* makes a bignum test harness with NUM tests per operation - * - * the output is made in the following format [one parameter per line] - -operation -operand1 -operand2 -[... operandN] -result1 -result2 -[... resultN] - -So for example "a * b mod n" would be - -mulmod -a -b -n -a*b mod n - -e.g. if a=3, b=4 n=11 then - -mulmod -3 -4 -11 -1 - - */ - -#ifdef MP_8BIT -#define THE_MASK 127 -#else -#define THE_MASK 32767 -#endif - -#include -#include -#include -#include "mpi.c" - -FILE *rng; - -void rand_num(mp_int *a) -{ - int n, size; - unsigned char buf[2048]; - - size = 1 + ((fgetc(rng)<<8) + fgetc(rng)) % 101; - buf[0] = (fgetc(rng)&1)?1:0; - fread(buf+1, 1, size, rng); - while (buf[1] == 0) buf[1] = fgetc(rng); - mp_read_raw(a, buf, 1+size); -} - -void rand_num2(mp_int *a) -{ - int n, size; - unsigned char buf[2048]; - - size = 10 + ((fgetc(rng)<<8) + fgetc(rng)) % 101; - buf[0] = (fgetc(rng)&1)?1:0; - fread(buf+1, 1, size, rng); - while (buf[1] == 0) buf[1] = fgetc(rng); - mp_read_raw(a, buf, 1+size); -} - -#define mp_to64(a, b) mp_toradix(a, b, 64) - -int main(void) -{ - int n, tmp; - mp_int a, b, c, d, e; - clock_t t1; - char buf[4096]; - - mp_init(&a); - mp_init(&b); - mp_init(&c); - mp_init(&d); - mp_init(&e); - - - /* initial (2^n - 1)^2 testing, makes sure the comba multiplier works [it has the new carry code] */ -/* - mp_set(&a, 1); - for (n = 1; n < 8192; n++) { - mp_mul(&a, &a, &c); - printf("mul\n"); - mp_to64(&a, buf); - printf("%s\n%s\n", buf, buf); - mp_to64(&c, buf); - printf("%s\n", buf); - - mp_add_d(&a, 1, &a); - mp_mul_2(&a, &a); - mp_sub_d(&a, 1, &a); - } -*/ - - rng = fopen("/dev/urandom", "rb"); - if (rng == NULL) { - rng = fopen("/dev/random", "rb"); - if (rng == NULL) { - fprintf(stderr, "\nWarning: stdin used as random source\n\n"); - rng = stdin; - } - } - - t1 = clock(); - for (;;) { -#if 0 - if (clock() - t1 > CLOCKS_PER_SEC) { - sleep(2); - t1 = clock(); - } -#endif - n = fgetc(rng) % 15; - - if (n == 0) { - /* add tests */ - rand_num(&a); - rand_num(&b); - mp_add(&a, &b, &c); - printf("add\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - } else if (n == 1) { - /* sub tests */ - rand_num(&a); - rand_num(&b); - mp_sub(&a, &b, &c); - printf("sub\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - } else if (n == 2) { - /* mul tests */ - rand_num(&a); - rand_num(&b); - mp_mul(&a, &b, &c); - printf("mul\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - } else if (n == 3) { - /* div tests */ - rand_num(&a); - rand_num(&b); - mp_div(&a, &b, &c, &d); - printf("div\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - mp_to64(&d, buf); - printf("%s\n", buf); - } else if (n == 4) { - /* sqr tests */ - rand_num(&a); - mp_sqr(&a, &b); - printf("sqr\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - } else if (n == 5) { - /* mul_2d test */ - rand_num(&a); - mp_copy(&a, &b); - n = fgetc(rng) & 63; - mp_mul_2d(&b, n, &b); - mp_to64(&a, buf); - printf("mul2d\n"); - printf("%s\n", buf); - printf("%d\n", n); - mp_to64(&b, buf); - printf("%s\n", buf); - } else if (n == 6) { - /* div_2d test */ - rand_num(&a); - mp_copy(&a, &b); - n = fgetc(rng) & 63; - mp_div_2d(&b, n, &b, NULL); - mp_to64(&a, buf); - printf("div2d\n"); - printf("%s\n", buf); - printf("%d\n", n); - mp_to64(&b, buf); - printf("%s\n", buf); - } else if (n == 7) { - /* gcd test */ - rand_num(&a); - rand_num(&b); - a.sign = MP_ZPOS; - b.sign = MP_ZPOS; - mp_gcd(&a, &b, &c); - printf("gcd\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - } else if (n == 8) { - /* lcm test */ - rand_num(&a); - rand_num(&b); - a.sign = MP_ZPOS; - b.sign = MP_ZPOS; - mp_lcm(&a, &b, &c); - printf("lcm\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - } else if (n == 9) { - /* exptmod test */ - rand_num2(&a); - rand_num2(&b); - rand_num2(&c); -// if (c.dp[0]&1) mp_add_d(&c, 1, &c); - a.sign = b.sign = c.sign = 0; - mp_exptmod(&a, &b, &c, &d); - printf("expt\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - mp_to64(&d, buf); - printf("%s\n", buf); - } else if (n == 10) { - /* invmod test */ - rand_num2(&a); - rand_num2(&b); - b.sign = MP_ZPOS; - a.sign = MP_ZPOS; - mp_gcd(&a, &b, &c); - if (mp_cmp_d(&c, 1) != 0) continue; - if (mp_cmp_d(&b, 1) == 0) continue; - mp_invmod(&a, &b, &c); - printf("invmod\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - } else if (n == 11) { - rand_num(&a); - mp_mul_2(&a, &a); - mp_div_2(&a, &b); - printf("div2\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - } else if (n == 12) { - rand_num2(&a); - mp_mul_2(&a, &b); - printf("mul2\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - } else if (n == 13) { - rand_num2(&a); - tmp = abs(rand()) & THE_MASK; - mp_add_d(&a, tmp, &b); - printf("add_d\n"); - mp_to64(&a, buf); - printf("%s\n%d\n", buf, tmp); - mp_to64(&b, buf); - printf("%s\n", buf); - } else if (n == 14) { - rand_num2(&a); - tmp = abs(rand()) & THE_MASK; - mp_sub_d(&a, tmp, &b); - printf("sub_d\n"); - mp_to64(&a, buf); - printf("%s\n%d\n", buf, tmp); - mp_to64(&b, buf); - printf("%s\n", buf); - } - } - fclose(rng); - return 0; -} diff --git a/libtommath/pics/design_process.sxd b/libtommath/pics/design_process.sxd deleted file mode 100644 index 7414dbb..0000000 Binary files a/libtommath/pics/design_process.sxd and /dev/null differ diff --git a/libtommath/pics/design_process.tif b/libtommath/pics/design_process.tif deleted file mode 100644 index 4a0c012..0000000 Binary files a/libtommath/pics/design_process.tif and /dev/null differ diff --git a/libtommath/pics/expt_state.sxd b/libtommath/pics/expt_state.sxd deleted file mode 100644 index 6518404..0000000 Binary files a/libtommath/pics/expt_state.sxd and /dev/null differ diff --git a/libtommath/pics/expt_state.tif b/libtommath/pics/expt_state.tif deleted file mode 100644 index 0aaee39..0000000 Binary files a/libtommath/pics/expt_state.tif and /dev/null differ diff --git a/libtommath/pics/makefile b/libtommath/pics/makefile deleted file mode 100644 index 3ecb02f..0000000 --- a/libtommath/pics/makefile +++ /dev/null @@ -1,35 +0,0 @@ -# makes the images... yeah - -default: pses - -design_process.ps: design_process.tif - tiff2ps -s -e design_process.tif > design_process.ps - -sliding_window.ps: sliding_window.tif - tiff2ps -s -e sliding_window.tif > sliding_window.ps - -expt_state.ps: expt_state.tif - tiff2ps -s -e expt_state.tif > expt_state.ps - -primality.ps: primality.tif - tiff2ps -s -e primality.tif > primality.ps - -design_process.pdf: design_process.ps - epstopdf design_process.ps - -sliding_window.pdf: sliding_window.ps - epstopdf sliding_window.ps - -expt_state.pdf: expt_state.ps - epstopdf expt_state.ps - -primality.pdf: primality.ps - epstopdf primality.ps - - -pses: sliding_window.ps expt_state.ps primality.ps design_process.ps -pdfes: sliding_window.pdf expt_state.pdf primality.pdf design_process.pdf - -clean: - rm -rf *.ps *.pdf .xvpics - \ No newline at end of file diff --git a/libtommath/pics/primality.tif b/libtommath/pics/primality.tif deleted file mode 100644 index 83aafe0..0000000 Binary files a/libtommath/pics/primality.tif and /dev/null differ diff --git a/libtommath/pics/radix.sxd b/libtommath/pics/radix.sxd deleted file mode 100644 index b9eb9a0..0000000 Binary files a/libtommath/pics/radix.sxd and /dev/null differ diff --git a/libtommath/pics/sliding_window.sxd b/libtommath/pics/sliding_window.sxd deleted file mode 100644 index 91e7c0d..0000000 Binary files a/libtommath/pics/sliding_window.sxd and /dev/null differ diff --git a/libtommath/pics/sliding_window.tif b/libtommath/pics/sliding_window.tif deleted file mode 100644 index bb4cb96..0000000 Binary files a/libtommath/pics/sliding_window.tif and /dev/null differ diff --git a/libtommath/poster.out b/libtommath/poster.out deleted file mode 100644 index e69de29..0000000 diff --git a/libtommath/poster.pdf b/libtommath/poster.pdf deleted file mode 100644 index 1f705cf..0000000 Binary files a/libtommath/poster.pdf and /dev/null differ diff --git a/libtommath/pre_gen/mpi.c b/libtommath/pre_gen/mpi.c deleted file mode 100644 index d2224c0..0000000 --- a/libtommath/pre_gen/mpi.c +++ /dev/null @@ -1,9048 +0,0 @@ -/* Start: bn_error.c */ -#include -#ifdef BN_ERROR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -static const struct { - int code; - char *msg; -} msgs[] = { - { MP_OKAY, "Successful" }, - { MP_MEM, "Out of heap" }, - { MP_VAL, "Value out of range" } -}; - -/* return a char * string for a given code */ -char *mp_error_to_string(int code) -{ - int x; - - /* scan the lookup table for the given message */ - for (x = 0; x < (int)(sizeof(msgs) / sizeof(msgs[0])); x++) { - if (msgs[x].code == code) { - return msgs[x].msg; - } - } - - /* generic reply for invalid code */ - return "Invalid error code"; -} - -#endif - -/* End: bn_error.c */ - -/* Start: bn_fast_mp_invmod.c */ -#include -#ifdef BN_FAST_MP_INVMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* computes the modular inverse via binary extended euclidean algorithm, - * that is c = 1/a mod b - * - * Based on slow invmod except this is optimized for the case where b is - * odd as per HAC Note 14.64 on pp. 610 - */ -int fast_mp_invmod (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int x, y, u, v, B, D; - int res, neg; - - /* 2. [modified] b must be odd */ - if (mp_iseven (b) == 1) { - return MP_VAL; - } - - /* init all our temps */ - if ((res = mp_init_multi(&x, &y, &u, &v, &B, &D, NULL)) != MP_OKAY) { - return res; - } - - /* x == modulus, y == value to invert */ - if ((res = mp_copy (b, &x)) != MP_OKAY) { - goto LBL_ERR; - } - - /* we need y = |a| */ - if ((res = mp_mod (a, b, &y)) != MP_OKAY) { - goto LBL_ERR; - } - - /* 3. u=x, v=y, A=1, B=0, C=0,D=1 */ - if ((res = mp_copy (&x, &u)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_copy (&y, &v)) != MP_OKAY) { - goto LBL_ERR; - } - mp_set (&D, 1); - -top: - /* 4. while u is even do */ - while (mp_iseven (&u) == 1) { - /* 4.1 u = u/2 */ - if ((res = mp_div_2 (&u, &u)) != MP_OKAY) { - goto LBL_ERR; - } - /* 4.2 if B is odd then */ - if (mp_isodd (&B) == 1) { - if ((res = mp_sub (&B, &x, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } - /* B = B/2 */ - if ((res = mp_div_2 (&B, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* 5. while v is even do */ - while (mp_iseven (&v) == 1) { - /* 5.1 v = v/2 */ - if ((res = mp_div_2 (&v, &v)) != MP_OKAY) { - goto LBL_ERR; - } - /* 5.2 if D is odd then */ - if (mp_isodd (&D) == 1) { - /* D = (D-x)/2 */ - if ((res = mp_sub (&D, &x, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - /* D = D/2 */ - if ((res = mp_div_2 (&D, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* 6. if u >= v then */ - if (mp_cmp (&u, &v) != MP_LT) { - /* u = u - v, B = B - D */ - if ((res = mp_sub (&u, &v, &u)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub (&B, &D, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } else { - /* v - v - u, D = D - B */ - if ((res = mp_sub (&v, &u, &v)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub (&D, &B, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* if not zero goto step 4 */ - if (mp_iszero (&u) == 0) { - goto top; - } - - /* now a = C, b = D, gcd == g*v */ - - /* if v != 1 then there is no inverse */ - if (mp_cmp_d (&v, 1) != MP_EQ) { - res = MP_VAL; - goto LBL_ERR; - } - - /* b is now the inverse */ - neg = a->sign; - while (D.sign == MP_NEG) { - if ((res = mp_add (&D, b, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - mp_exch (&D, c); - c->sign = neg; - res = MP_OKAY; - -LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL); - return res; -} -#endif - -/* End: bn_fast_mp_invmod.c */ - -/* Start: bn_fast_mp_montgomery_reduce.c */ -#include -#ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* computes xR**-1 == x (mod N) via Montgomery Reduction - * - * This is an optimized implementation of montgomery_reduce - * which uses the comba method to quickly calculate the columns of the - * reduction. - * - * Based on Algorithm 14.32 on pp.601 of HAC. -*/ -int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) -{ - int ix, res, olduse; - mp_word W[MP_WARRAY]; - - /* get old used count */ - olduse = x->used; - - /* grow a as required */ - if (x->alloc < n->used + 1) { - if ((res = mp_grow (x, n->used + 1)) != MP_OKAY) { - return res; - } - } - - /* first we have to get the digits of the input into - * an array of double precision words W[...] - */ - { - register mp_word *_W; - register mp_digit *tmpx; - - /* alias for the W[] array */ - _W = W; - - /* alias for the digits of x*/ - tmpx = x->dp; - - /* copy the digits of a into W[0..a->used-1] */ - for (ix = 0; ix < x->used; ix++) { - *_W++ = *tmpx++; - } - - /* zero the high words of W[a->used..m->used*2] */ - for (; ix < n->used * 2 + 1; ix++) { - *_W++ = 0; - } - } - - /* now we proceed to zero successive digits - * from the least significant upwards - */ - for (ix = 0; ix < n->used; ix++) { - /* mu = ai * m' mod b - * - * We avoid a double precision multiplication (which isn't required) - * by casting the value down to a mp_digit. Note this requires - * that W[ix-1] have the carry cleared (see after the inner loop) - */ - register mp_digit mu; - mu = (mp_digit) (((W[ix] & MP_MASK) * rho) & MP_MASK); - - /* a = a + mu * m * b**i - * - * This is computed in place and on the fly. The multiplication - * by b**i is handled by offseting which columns the results - * are added to. - * - * Note the comba method normally doesn't handle carries in the - * inner loop In this case we fix the carry from the previous - * column since the Montgomery reduction requires digits of the - * result (so far) [see above] to work. This is - * handled by fixing up one carry after the inner loop. The - * carry fixups are done in order so after these loops the - * first m->used words of W[] have the carries fixed - */ - { - register int iy; - register mp_digit *tmpn; - register mp_word *_W; - - /* alias for the digits of the modulus */ - tmpn = n->dp; - - /* Alias for the columns set by an offset of ix */ - _W = W + ix; - - /* inner loop */ - for (iy = 0; iy < n->used; iy++) { - *_W++ += ((mp_word)mu) * ((mp_word)*tmpn++); - } - } - - /* now fix carry for next digit, W[ix+1] */ - W[ix + 1] += W[ix] >> ((mp_word) DIGIT_BIT); - } - - /* now we have to propagate the carries and - * shift the words downward [all those least - * significant digits we zeroed]. - */ - { - register mp_digit *tmpx; - register mp_word *_W, *_W1; - - /* nox fix rest of carries */ - - /* alias for current word */ - _W1 = W + ix; - - /* alias for next word, where the carry goes */ - _W = W + ++ix; - - for (; ix <= n->used * 2 + 1; ix++) { - *_W++ += *_W1++ >> ((mp_word) DIGIT_BIT); - } - - /* copy out, A = A/b**n - * - * The result is A/b**n but instead of converting from an - * array of mp_word to mp_digit than calling mp_rshd - * we just copy them in the right order - */ - - /* alias for destination word */ - tmpx = x->dp; - - /* alias for shifted double precision result */ - _W = W + n->used; - - for (ix = 0; ix < n->used + 1; ix++) { - *tmpx++ = (mp_digit)(*_W++ & ((mp_word) MP_MASK)); - } - - /* zero oldused digits, if the input a was larger than - * m->used+1 we'll have to clear the digits - */ - for (; ix < olduse; ix++) { - *tmpx++ = 0; - } - } - - /* set the max used and clamp */ - x->used = n->used + 1; - mp_clamp (x); - - /* if A >= m then A = A - m */ - if (mp_cmp_mag (x, n) != MP_LT) { - return s_mp_sub (x, n, x); - } - return MP_OKAY; -} -#endif - -/* End: bn_fast_mp_montgomery_reduce.c */ - -/* Start: bn_fast_s_mp_mul_digs.c */ -#include -#ifdef BN_FAST_S_MP_MUL_DIGS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* Fast (comba) multiplier - * - * This is the fast column-array [comba] multiplier. It is - * designed to compute the columns of the product first - * then handle the carries afterwards. This has the effect - * of making the nested loops that compute the columns very - * simple and schedulable on super-scalar processors. - * - * This has been modified to produce a variable number of - * digits of output so if say only a half-product is required - * you don't have to compute the upper half (a feature - * required for fast Barrett reduction). - * - * Based on Algorithm 14.12 on pp.595 of HAC. - * - */ -int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) -{ - int olduse, res, pa, ix, iz; - mp_digit W[MP_WARRAY]; - register mp_word _W; - - /* grow the destination as required */ - if (c->alloc < digs) { - if ((res = mp_grow (c, digs)) != MP_OKAY) { - return res; - } - } - - /* number of output digits to produce */ - pa = MIN(digs, a->used + b->used); - - /* clear the carry */ - _W = 0; - for (ix = 0; ix < pa; ix++) { - int tx, ty; - int iy; - mp_digit *tmpx, *tmpy; - - /* get offsets into the two bignums */ - ty = MIN(b->used-1, ix); - tx = ix - ty; - - /* setup temp aliases */ - tmpx = a->dp + tx; - tmpy = b->dp + ty; - - /* this is the number of times the loop will iterrate, essentially - while (tx++ < a->used && ty-- >= 0) { ... } - */ - iy = MIN(a->used-tx, ty+1); - - /* execute loop */ - for (iz = 0; iz < iy; ++iz) { - _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--); - - } - - /* store term */ - W[ix] = ((mp_digit)_W) & MP_MASK; - - /* make next carry */ - _W = _W >> ((mp_word)DIGIT_BIT); - } - - /* setup dest */ - olduse = c->used; - c->used = pa; - - { - register mp_digit *tmpc; - tmpc = c->dp; - for (ix = 0; ix < pa+1; ix++) { - /* now extract the previous digit [below the carry] */ - *tmpc++ = W[ix]; - } - - /* clear unused digits [that existed in the old copy of c] */ - for (; ix < olduse; ix++) { - *tmpc++ = 0; - } - } - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* End: bn_fast_s_mp_mul_digs.c */ - -/* Start: bn_fast_s_mp_mul_high_digs.c */ -#include -#ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* this is a modified version of fast_s_mul_digs that only produces - * output digits *above* digs. See the comments for fast_s_mul_digs - * to see how it works. - * - * This is used in the Barrett reduction since for one of the multiplications - * only the higher digits were needed. This essentially halves the work. - * - * Based on Algorithm 14.12 on pp.595 of HAC. - */ -int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) -{ - int olduse, res, pa, ix, iz; - mp_digit W[MP_WARRAY]; - mp_word _W; - - /* grow the destination as required */ - pa = a->used + b->used; - if (c->alloc < pa) { - if ((res = mp_grow (c, pa)) != MP_OKAY) { - return res; - } - } - - /* number of output digits to produce */ - pa = a->used + b->used; - _W = 0; - for (ix = digs; ix < pa; ix++) { - int tx, ty, iy; - mp_digit *tmpx, *tmpy; - - /* get offsets into the two bignums */ - ty = MIN(b->used-1, ix); - tx = ix - ty; - - /* setup temp aliases */ - tmpx = a->dp + tx; - tmpy = b->dp + ty; - - /* this is the number of times the loop will iterrate, essentially its - while (tx++ < a->used && ty-- >= 0) { ... } - */ - iy = MIN(a->used-tx, ty+1); - - /* execute loop */ - for (iz = 0; iz < iy; iz++) { - _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--); - } - - /* store term */ - W[ix] = ((mp_digit)_W) & MP_MASK; - - /* make next carry */ - _W = _W >> ((mp_word)DIGIT_BIT); - } - - /* setup dest */ - olduse = c->used; - c->used = pa; - - { - register mp_digit *tmpc; - - tmpc = c->dp + digs; - for (ix = digs; ix < pa; ix++) { - /* now extract the previous digit [below the carry] */ - *tmpc++ = W[ix]; - } - - /* clear unused digits [that existed in the old copy of c] */ - for (; ix < olduse; ix++) { - *tmpc++ = 0; - } - } - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* End: bn_fast_s_mp_mul_high_digs.c */ - -/* Start: bn_fast_s_mp_sqr.c */ -#include -#ifdef BN_FAST_S_MP_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* the jist of squaring... - * you do like mult except the offset of the tmpx [one that - * starts closer to zero] can't equal the offset of tmpy. - * So basically you set up iy like before then you min it with - * (ty-tx) so that it never happens. You double all those - * you add in the inner loop - -After that loop you do the squares and add them in. -*/ - -int fast_s_mp_sqr (mp_int * a, mp_int * b) -{ - int olduse, res, pa, ix, iz; - mp_digit W[MP_WARRAY], *tmpx; - mp_word W1; - - /* grow the destination as required */ - pa = a->used + a->used; - if (b->alloc < pa) { - if ((res = mp_grow (b, pa)) != MP_OKAY) { - return res; - } - } - - /* number of output digits to produce */ - W1 = 0; - for (ix = 0; ix < pa; ix++) { - int tx, ty, iy; - mp_word _W; - mp_digit *tmpy; - - /* clear counter */ - _W = 0; - - /* get offsets into the two bignums */ - ty = MIN(a->used-1, ix); - tx = ix - ty; - - /* setup temp aliases */ - tmpx = a->dp + tx; - tmpy = a->dp + ty; - - /* this is the number of times the loop will iterrate, essentially - while (tx++ < a->used && ty-- >= 0) { ... } - */ - iy = MIN(a->used-tx, ty+1); - - /* now for squaring tx can never equal ty - * we halve the distance since they approach at a rate of 2x - * and we have to round because odd cases need to be executed - */ - iy = MIN(iy, (ty-tx+1)>>1); - - /* execute loop */ - for (iz = 0; iz < iy; iz++) { - _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--); - } - - /* double the inner product and add carry */ - _W = _W + _W + W1; - - /* even columns have the square term in them */ - if ((ix&1) == 0) { - _W += ((mp_word)a->dp[ix>>1])*((mp_word)a->dp[ix>>1]); - } - - /* store it */ - W[ix] = (mp_digit)(_W & MP_MASK); - - /* make next carry */ - W1 = _W >> ((mp_word)DIGIT_BIT); - } - - /* setup dest */ - olduse = b->used; - b->used = a->used+a->used; - - { - mp_digit *tmpb; - tmpb = b->dp; - for (ix = 0; ix < pa; ix++) { - *tmpb++ = W[ix] & MP_MASK; - } - - /* clear unused digits [that existed in the old copy of c] */ - for (; ix < olduse; ix++) { - *tmpb++ = 0; - } - } - mp_clamp (b); - return MP_OKAY; -} -#endif - -/* End: bn_fast_s_mp_sqr.c */ - -/* Start: bn_mp_2expt.c */ -#include -#ifdef BN_MP_2EXPT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* computes a = 2**b - * - * Simple algorithm which zeroes the int, grows it then just sets one bit - * as required. - */ -int -mp_2expt (mp_int * a, int b) -{ - int res; - - /* zero a as per default */ - mp_zero (a); - - /* grow a to accomodate the single bit */ - if ((res = mp_grow (a, b / DIGIT_BIT + 1)) != MP_OKAY) { - return res; - } - - /* set the used count of where the bit will go */ - a->used = b / DIGIT_BIT + 1; - - /* put the single bit in its place */ - a->dp[b / DIGIT_BIT] = ((mp_digit)1) << (b % DIGIT_BIT); - - return MP_OKAY; -} -#endif - -/* End: bn_mp_2expt.c */ - -/* Start: bn_mp_abs.c */ -#include -#ifdef BN_MP_ABS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* b = |a| - * - * Simple function copies the input and fixes the sign to positive - */ -int -mp_abs (mp_int * a, mp_int * b) -{ - int res; - - /* copy a to b */ - if (a != b) { - if ((res = mp_copy (a, b)) != MP_OKAY) { - return res; - } - } - - /* force the sign of b to positive */ - b->sign = MP_ZPOS; - - return MP_OKAY; -} -#endif - -/* End: bn_mp_abs.c */ - -/* Start: bn_mp_add.c */ -#include -#ifdef BN_MP_ADD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* high level addition (handles signs) */ -int mp_add (mp_int * a, mp_int * b, mp_int * c) -{ - int sa, sb, res; - - /* get sign of both inputs */ - sa = a->sign; - sb = b->sign; - - /* handle two cases, not four */ - if (sa == sb) { - /* both positive or both negative */ - /* add their magnitudes, copy the sign */ - c->sign = sa; - res = s_mp_add (a, b, c); - } else { - /* one positive, the other negative */ - /* subtract the one with the greater magnitude from */ - /* the one of the lesser magnitude. The result gets */ - /* the sign of the one with the greater magnitude. */ - if (mp_cmp_mag (a, b) == MP_LT) { - c->sign = sb; - res = s_mp_sub (b, a, c); - } else { - c->sign = sa; - res = s_mp_sub (a, b, c); - } - } - return res; -} - -#endif - -/* End: bn_mp_add.c */ - -/* Start: bn_mp_add_d.c */ -#include -#ifdef BN_MP_ADD_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* single digit addition */ -int -mp_add_d (mp_int * a, mp_digit b, mp_int * c) -{ - int res, ix, oldused; - mp_digit *tmpa, *tmpc, mu; - - /* grow c as required */ - if (c->alloc < a->used + 1) { - if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) { - return res; - } - } - - /* if a is negative and |a| >= b, call c = |a| - b */ - if (a->sign == MP_NEG && (a->used > 1 || a->dp[0] >= b)) { - /* temporarily fix sign of a */ - a->sign = MP_ZPOS; - - /* c = |a| - b */ - res = mp_sub_d(a, b, c); - - /* fix sign */ - a->sign = c->sign = MP_NEG; - - /* clamp */ - mp_clamp(c); - - return res; - } - - /* old number of used digits in c */ - oldused = c->used; - - /* sign always positive */ - c->sign = MP_ZPOS; - - /* source alias */ - tmpa = a->dp; - - /* destination alias */ - tmpc = c->dp; - - /* if a is positive */ - if (a->sign == MP_ZPOS) { - /* add digit, after this we're propagating - * the carry. - */ - *tmpc = *tmpa++ + b; - mu = *tmpc >> DIGIT_BIT; - *tmpc++ &= MP_MASK; - - /* now handle rest of the digits */ - for (ix = 1; ix < a->used; ix++) { - *tmpc = *tmpa++ + mu; - mu = *tmpc >> DIGIT_BIT; - *tmpc++ &= MP_MASK; - } - /* set final carry */ - ix++; - *tmpc++ = mu; - - /* setup size */ - c->used = a->used + 1; - } else { - /* a was negative and |a| < b */ - c->used = 1; - - /* the result is a single digit */ - if (a->used == 1) { - *tmpc++ = b - a->dp[0]; - } else { - *tmpc++ = b; - } - - /* setup count so the clearing of oldused - * can fall through correctly - */ - ix = 1; - } - - /* now zero to oldused */ - while (ix++ < oldused) { - *tmpc++ = 0; - } - mp_clamp(c); - - return MP_OKAY; -} - -#endif - -/* End: bn_mp_add_d.c */ - -/* Start: bn_mp_addmod.c */ -#include -#ifdef BN_MP_ADDMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* d = a + b (mod c) */ -int -mp_addmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) -{ - int res; - mp_int t; - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - if ((res = mp_add (a, b, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - res = mp_mod (&t, c, d); - mp_clear (&t); - return res; -} -#endif - -/* End: bn_mp_addmod.c */ - -/* Start: bn_mp_and.c */ -#include -#ifdef BN_MP_AND_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* AND two ints together */ -int -mp_and (mp_int * a, mp_int * b, mp_int * c) -{ - int res, ix, px; - mp_int t, *x; - - if (a->used > b->used) { - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - px = b->used; - x = b; - } else { - if ((res = mp_init_copy (&t, b)) != MP_OKAY) { - return res; - } - px = a->used; - x = a; - } - - for (ix = 0; ix < px; ix++) { - t.dp[ix] &= x->dp[ix]; - } - - /* zero digits above the last from the smallest mp_int */ - for (; ix < t.used; ix++) { - t.dp[ix] = 0; - } - - mp_clamp (&t); - mp_exch (c, &t); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_mp_and.c */ - -/* Start: bn_mp_clamp.c */ -#include -#ifdef BN_MP_CLAMP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* trim unused digits - * - * This is used to ensure that leading zero digits are - * trimed and the leading "used" digit will be non-zero - * Typically very fast. Also fixes the sign if there - * are no more leading digits - */ -void -mp_clamp (mp_int * a) -{ - /* decrease used while the most significant digit is - * zero. - */ - while (a->used > 0 && a->dp[a->used - 1] == 0) { - --(a->used); - } - - /* reset the sign flag if used == 0 */ - if (a->used == 0) { - a->sign = MP_ZPOS; - } -} -#endif - -/* End: bn_mp_clamp.c */ - -/* Start: bn_mp_clear.c */ -#include -#ifdef BN_MP_CLEAR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* clear one (frees) */ -void -mp_clear (mp_int * a) -{ - int i; - - /* only do anything if a hasn't been freed previously */ - if (a->dp != NULL) { - /* first zero the digits */ - for (i = 0; i < a->used; i++) { - a->dp[i] = 0; - } - - /* free ram */ - XFREE(a->dp); - - /* reset members to make debugging easier */ - a->dp = NULL; - a->alloc = a->used = 0; - a->sign = MP_ZPOS; - } -} -#endif - -/* End: bn_mp_clear.c */ - -/* Start: bn_mp_clear_multi.c */ -#include -#ifdef BN_MP_CLEAR_MULTI_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ -#include - -void mp_clear_multi(mp_int *mp, ...) -{ - mp_int* next_mp = mp; - va_list args; - va_start(args, mp); - while (next_mp != NULL) { - mp_clear(next_mp); - next_mp = va_arg(args, mp_int*); - } - va_end(args); -} -#endif - -/* End: bn_mp_clear_multi.c */ - -/* Start: bn_mp_cmp.c */ -#include -#ifdef BN_MP_CMP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* compare two ints (signed)*/ -int -mp_cmp (mp_int * a, mp_int * b) -{ - /* compare based on sign */ - if (a->sign != b->sign) { - if (a->sign == MP_NEG) { - return MP_LT; - } else { - return MP_GT; - } - } - - /* compare digits */ - if (a->sign == MP_NEG) { - /* if negative compare opposite direction */ - return mp_cmp_mag(b, a); - } else { - return mp_cmp_mag(a, b); - } -} -#endif - -/* End: bn_mp_cmp.c */ - -/* Start: bn_mp_cmp_d.c */ -#include -#ifdef BN_MP_CMP_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* compare a digit */ -int mp_cmp_d(mp_int * a, mp_digit b) -{ - /* compare based on sign */ - if (a->sign == MP_NEG) { - return MP_LT; - } - - /* compare based on magnitude */ - if (a->used > 1) { - return MP_GT; - } - - /* compare the only digit of a to b */ - if (a->dp[0] > b) { - return MP_GT; - } else if (a->dp[0] < b) { - return MP_LT; - } else { - return MP_EQ; - } -} -#endif - -/* End: bn_mp_cmp_d.c */ - -/* Start: bn_mp_cmp_mag.c */ -#include -#ifdef BN_MP_CMP_MAG_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* compare maginitude of two ints (unsigned) */ -int mp_cmp_mag (mp_int * a, mp_int * b) -{ - int n; - mp_digit *tmpa, *tmpb; - - /* compare based on # of non-zero digits */ - if (a->used > b->used) { - return MP_GT; - } - - if (a->used < b->used) { - return MP_LT; - } - - /* alias for a */ - tmpa = a->dp + (a->used - 1); - - /* alias for b */ - tmpb = b->dp + (a->used - 1); - - /* compare based on digits */ - for (n = 0; n < a->used; ++n, --tmpa, --tmpb) { - if (*tmpa > *tmpb) { - return MP_GT; - } - - if (*tmpa < *tmpb) { - return MP_LT; - } - } - return MP_EQ; -} -#endif - -/* End: bn_mp_cmp_mag.c */ - -/* Start: bn_mp_cnt_lsb.c */ -#include -#ifdef BN_MP_CNT_LSB_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -static const int lnz[16] = { - 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0 -}; - -/* Counts the number of lsbs which are zero before the first zero bit */ -int mp_cnt_lsb(mp_int *a) -{ - int x; - mp_digit q, qq; - - /* easy out */ - if (mp_iszero(a) == 1) { - return 0; - } - - /* scan lower digits until non-zero */ - for (x = 0; x < a->used && a->dp[x] == 0; x++); - q = a->dp[x]; - x *= DIGIT_BIT; - - /* now scan this digit until a 1 is found */ - if ((q & 1) == 0) { - do { - qq = q & 15; - x += lnz[qq]; - q >>= 4; - } while (qq == 0); - } - return x; -} - -#endif - -/* End: bn_mp_cnt_lsb.c */ - -/* Start: bn_mp_copy.c */ -#include -#ifdef BN_MP_COPY_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* copy, b = a */ -int -mp_copy (mp_int * a, mp_int * b) -{ - int res, n; - - /* if dst == src do nothing */ - if (a == b) { - return MP_OKAY; - } - - /* grow dest */ - if (b->alloc < a->used) { - if ((res = mp_grow (b, a->used)) != MP_OKAY) { - return res; - } - } - - /* zero b and copy the parameters over */ - { - register mp_digit *tmpa, *tmpb; - - /* pointer aliases */ - - /* source */ - tmpa = a->dp; - - /* destination */ - tmpb = b->dp; - - /* copy all the digits */ - for (n = 0; n < a->used; n++) { - *tmpb++ = *tmpa++; - } - - /* clear high digits */ - for (; n < b->used; n++) { - *tmpb++ = 0; - } - } - - /* copy used count and sign */ - b->used = a->used; - b->sign = a->sign; - return MP_OKAY; -} -#endif - -/* End: bn_mp_copy.c */ - -/* Start: bn_mp_count_bits.c */ -#include -#ifdef BN_MP_COUNT_BITS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* returns the number of bits in an int */ -int -mp_count_bits (mp_int * a) -{ - int r; - mp_digit q; - - /* shortcut */ - if (a->used == 0) { - return 0; - } - - /* get number of digits and add that */ - r = (a->used - 1) * DIGIT_BIT; - - /* take the last digit and count the bits in it */ - q = a->dp[a->used - 1]; - while (q > ((mp_digit) 0)) { - ++r; - q >>= ((mp_digit) 1); - } - return r; -} -#endif - -/* End: bn_mp_count_bits.c */ - -/* Start: bn_mp_div.c */ -#include -#ifdef BN_MP_DIV_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -#ifdef BN_MP_DIV_SMALL - -/* slower bit-bang division... also smaller */ -int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) -{ - mp_int ta, tb, tq, q; - int res, n, n2; - - /* is divisor zero ? */ - if (mp_iszero (b) == 1) { - return MP_VAL; - } - - /* if a < b then q=0, r = a */ - if (mp_cmp_mag (a, b) == MP_LT) { - if (d != NULL) { - res = mp_copy (a, d); - } else { - res = MP_OKAY; - } - if (c != NULL) { - mp_zero (c); - } - return res; - } - - /* init our temps */ - if ((res = mp_init_multi(&ta, &tb, &tq, &q, NULL) != MP_OKAY)) { - return res; - } - - - mp_set(&tq, 1); - n = mp_count_bits(a) - mp_count_bits(b); - if (((res = mp_abs(a, &ta)) != MP_OKAY) || - ((res = mp_abs(b, &tb)) != MP_OKAY) || - ((res = mp_mul_2d(&tb, n, &tb)) != MP_OKAY) || - ((res = mp_mul_2d(&tq, n, &tq)) != MP_OKAY)) { - goto LBL_ERR; - } - - while (n-- >= 0) { - if (mp_cmp(&tb, &ta) != MP_GT) { - if (((res = mp_sub(&ta, &tb, &ta)) != MP_OKAY) || - ((res = mp_add(&q, &tq, &q)) != MP_OKAY)) { - goto LBL_ERR; - } - } - if (((res = mp_div_2d(&tb, 1, &tb, NULL)) != MP_OKAY) || - ((res = mp_div_2d(&tq, 1, &tq, NULL)) != MP_OKAY)) { - goto LBL_ERR; - } - } - - /* now q == quotient and ta == remainder */ - n = a->sign; - n2 = (a->sign == b->sign ? MP_ZPOS : MP_NEG); - if (c != NULL) { - mp_exch(c, &q); - c->sign = (mp_iszero(c) == MP_YES) ? MP_ZPOS : n2; - } - if (d != NULL) { - mp_exch(d, &ta); - d->sign = (mp_iszero(d) == MP_YES) ? MP_ZPOS : n; - } -LBL_ERR: - mp_clear_multi(&ta, &tb, &tq, &q, NULL); - return res; -} - -#else - -/* integer signed division. - * c*b + d == a [e.g. a/b, c=quotient, d=remainder] - * HAC pp.598 Algorithm 14.20 - * - * Note that the description in HAC is horribly - * incomplete. For example, it doesn't consider - * the case where digits are removed from 'x' in - * the inner loop. It also doesn't consider the - * case that y has fewer than three digits, etc.. - * - * The overall algorithm is as described as - * 14.20 from HAC but fixed to treat these cases. -*/ -int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) -{ - mp_int q, x, y, t1, t2; - int res, n, t, i, norm, neg; - - /* is divisor zero ? */ - if (mp_iszero (b) == 1) { - return MP_VAL; - } - - /* if a < b then q=0, r = a */ - if (mp_cmp_mag (a, b) == MP_LT) { - if (d != NULL) { - res = mp_copy (a, d); - } else { - res = MP_OKAY; - } - if (c != NULL) { - mp_zero (c); - } - return res; - } - - if ((res = mp_init_size (&q, a->used + 2)) != MP_OKAY) { - return res; - } - q.used = a->used + 2; - - if ((res = mp_init (&t1)) != MP_OKAY) { - goto LBL_Q; - } - - if ((res = mp_init (&t2)) != MP_OKAY) { - goto LBL_T1; - } - - if ((res = mp_init_copy (&x, a)) != MP_OKAY) { - goto LBL_T2; - } - - if ((res = mp_init_copy (&y, b)) != MP_OKAY) { - goto LBL_X; - } - - /* fix the sign */ - neg = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; - x.sign = y.sign = MP_ZPOS; - - /* normalize both x and y, ensure that y >= b/2, [b == 2**DIGIT_BIT] */ - norm = mp_count_bits(&y) % DIGIT_BIT; - if (norm < (int)(DIGIT_BIT-1)) { - norm = (DIGIT_BIT-1) - norm; - if ((res = mp_mul_2d (&x, norm, &x)) != MP_OKAY) { - goto LBL_Y; - } - if ((res = mp_mul_2d (&y, norm, &y)) != MP_OKAY) { - goto LBL_Y; - } - } else { - norm = 0; - } - - /* note hac does 0 based, so if used==5 then its 0,1,2,3,4, e.g. use 4 */ - n = x.used - 1; - t = y.used - 1; - - /* while (x >= y*b**n-t) do { q[n-t] += 1; x -= y*b**{n-t} } */ - if ((res = mp_lshd (&y, n - t)) != MP_OKAY) { /* y = y*b**{n-t} */ - goto LBL_Y; - } - - while (mp_cmp (&x, &y) != MP_LT) { - ++(q.dp[n - t]); - if ((res = mp_sub (&x, &y, &x)) != MP_OKAY) { - goto LBL_Y; - } - } - - /* reset y by shifting it back down */ - mp_rshd (&y, n - t); - - /* step 3. for i from n down to (t + 1) */ - for (i = n; i >= (t + 1); i--) { - if (i > x.used) { - continue; - } - - /* step 3.1 if xi == yt then set q{i-t-1} to b-1, - * otherwise set q{i-t-1} to (xi*b + x{i-1})/yt */ - if (x.dp[i] == y.dp[t]) { - q.dp[i - t - 1] = ((((mp_digit)1) << DIGIT_BIT) - 1); - } else { - mp_word tmp; - tmp = ((mp_word) x.dp[i]) << ((mp_word) DIGIT_BIT); - tmp |= ((mp_word) x.dp[i - 1]); - tmp /= ((mp_word) y.dp[t]); - if (tmp > (mp_word) MP_MASK) - tmp = MP_MASK; - q.dp[i - t - 1] = (mp_digit) (tmp & (mp_word) (MP_MASK)); - } - - /* while (q{i-t-1} * (yt * b + y{t-1})) > - xi * b**2 + xi-1 * b + xi-2 - - do q{i-t-1} -= 1; - */ - q.dp[i - t - 1] = (q.dp[i - t - 1] + 1) & MP_MASK; - do { - q.dp[i - t - 1] = (q.dp[i - t - 1] - 1) & MP_MASK; - - /* find left hand */ - mp_zero (&t1); - t1.dp[0] = (t - 1 < 0) ? 0 : y.dp[t - 1]; - t1.dp[1] = y.dp[t]; - t1.used = 2; - if ((res = mp_mul_d (&t1, q.dp[i - t - 1], &t1)) != MP_OKAY) { - goto LBL_Y; - } - - /* find right hand */ - t2.dp[0] = (i - 2 < 0) ? 0 : x.dp[i - 2]; - t2.dp[1] = (i - 1 < 0) ? 0 : x.dp[i - 1]; - t2.dp[2] = x.dp[i]; - t2.used = 3; - } while (mp_cmp_mag(&t1, &t2) == MP_GT); - - /* step 3.3 x = x - q{i-t-1} * y * b**{i-t-1} */ - if ((res = mp_mul_d (&y, q.dp[i - t - 1], &t1)) != MP_OKAY) { - goto LBL_Y; - } - - if ((res = mp_lshd (&t1, i - t - 1)) != MP_OKAY) { - goto LBL_Y; - } - - if ((res = mp_sub (&x, &t1, &x)) != MP_OKAY) { - goto LBL_Y; - } - - /* if x < 0 then { x = x + y*b**{i-t-1}; q{i-t-1} -= 1; } */ - if (x.sign == MP_NEG) { - if ((res = mp_copy (&y, &t1)) != MP_OKAY) { - goto LBL_Y; - } - if ((res = mp_lshd (&t1, i - t - 1)) != MP_OKAY) { - goto LBL_Y; - } - if ((res = mp_add (&x, &t1, &x)) != MP_OKAY) { - goto LBL_Y; - } - - q.dp[i - t - 1] = (q.dp[i - t - 1] - 1UL) & MP_MASK; - } - } - - /* now q is the quotient and x is the remainder - * [which we have to normalize] - */ - - /* get sign before writing to c */ - x.sign = x.used == 0 ? MP_ZPOS : a->sign; - - if (c != NULL) { - mp_clamp (&q); - mp_exch (&q, c); - c->sign = neg; - } - - if (d != NULL) { - mp_div_2d (&x, norm, &x, NULL); - mp_exch (&x, d); - } - - res = MP_OKAY; - -LBL_Y:mp_clear (&y); -LBL_X:mp_clear (&x); -LBL_T2:mp_clear (&t2); -LBL_T1:mp_clear (&t1); -LBL_Q:mp_clear (&q); - return res; -} - -#endif - -#endif - -/* End: bn_mp_div.c */ - -/* Start: bn_mp_div_2.c */ -#include -#ifdef BN_MP_DIV_2_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* b = a/2 */ -int mp_div_2(mp_int * a, mp_int * b) -{ - int x, res, oldused; - - /* copy */ - if (b->alloc < a->used) { - if ((res = mp_grow (b, a->used)) != MP_OKAY) { - return res; - } - } - - oldused = b->used; - b->used = a->used; - { - register mp_digit r, rr, *tmpa, *tmpb; - - /* source alias */ - tmpa = a->dp + b->used - 1; - - /* dest alias */ - tmpb = b->dp + b->used - 1; - - /* carry */ - r = 0; - for (x = b->used - 1; x >= 0; x--) { - /* get the carry for the next iteration */ - rr = *tmpa & 1; - - /* shift the current digit, add in carry and store */ - *tmpb-- = (*tmpa-- >> 1) | (r << (DIGIT_BIT - 1)); - - /* forward carry to next iteration */ - r = rr; - } - - /* zero excess digits */ - tmpb = b->dp + b->used; - for (x = b->used; x < oldused; x++) { - *tmpb++ = 0; - } - } - b->sign = a->sign; - mp_clamp (b); - return MP_OKAY; -} -#endif - -/* End: bn_mp_div_2.c */ - -/* Start: bn_mp_div_2d.c */ -#include -#ifdef BN_MP_DIV_2D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* shift right by a certain bit count (store quotient in c, optional remainder in d) */ -int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d) -{ - mp_digit D, r, rr; - int x, res; - mp_int t; - - - /* if the shift count is <= 0 then we do no work */ - if (b <= 0) { - res = mp_copy (a, c); - if (d != NULL) { - mp_zero (d); - } - return res; - } - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - /* get the remainder */ - if (d != NULL) { - if ((res = mp_mod_2d (a, b, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - } - - /* copy */ - if ((res = mp_copy (a, c)) != MP_OKAY) { - mp_clear (&t); - return res; - } - - /* shift by as many digits in the bit count */ - if (b >= (int)DIGIT_BIT) { - mp_rshd (c, b / DIGIT_BIT); - } - - /* shift any bit count < DIGIT_BIT */ - D = (mp_digit) (b % DIGIT_BIT); - if (D != 0) { - register mp_digit *tmpc, mask, shift; - - /* mask */ - mask = (((mp_digit)1) << D) - 1; - - /* shift for lsb */ - shift = DIGIT_BIT - D; - - /* alias */ - tmpc = c->dp + (c->used - 1); - - /* carry */ - r = 0; - for (x = c->used - 1; x >= 0; x--) { - /* get the lower bits of this word in a temp */ - rr = *tmpc & mask; - - /* shift the current word and mix in the carry bits from the previous word */ - *tmpc = (*tmpc >> D) | (r << shift); - --tmpc; - - /* set the carry to the carry bits of the current word found above */ - r = rr; - } - } - mp_clamp (c); - if (d != NULL) { - mp_exch (&t, d); - } - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_mp_div_2d.c */ - -/* Start: bn_mp_div_3.c */ -#include -#ifdef BN_MP_DIV_3_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* divide by three (based on routine from MPI and the GMP manual) */ -int -mp_div_3 (mp_int * a, mp_int *c, mp_digit * d) -{ - mp_int q; - mp_word w, t; - mp_digit b; - int res, ix; - - /* b = 2**DIGIT_BIT / 3 */ - b = (((mp_word)1) << ((mp_word)DIGIT_BIT)) / ((mp_word)3); - - if ((res = mp_init_size(&q, a->used)) != MP_OKAY) { - return res; - } - - q.used = a->used; - q.sign = a->sign; - w = 0; - for (ix = a->used - 1; ix >= 0; ix--) { - w = (w << ((mp_word)DIGIT_BIT)) | ((mp_word)a->dp[ix]); - - if (w >= 3) { - /* multiply w by [1/3] */ - t = (w * ((mp_word)b)) >> ((mp_word)DIGIT_BIT); - - /* now subtract 3 * [w/3] from w, to get the remainder */ - w -= t+t+t; - - /* fixup the remainder as required since - * the optimization is not exact. - */ - while (w >= 3) { - t += 1; - w -= 3; - } - } else { - t = 0; - } - q.dp[ix] = (mp_digit)t; - } - - /* [optional] store the remainder */ - if (d != NULL) { - *d = (mp_digit)w; - } - - /* [optional] store the quotient */ - if (c != NULL) { - mp_clamp(&q); - mp_exch(&q, c); - } - mp_clear(&q); - - return res; -} - -#endif - -/* End: bn_mp_div_3.c */ - -/* Start: bn_mp_div_d.c */ -#include -#ifdef BN_MP_DIV_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -static int s_is_power_of_two(mp_digit b, int *p) -{ - int x; - - /* fast return if no power of two */ - if ((b==0) || (b & (b-1))) { - return 0; - } - - for (x = 0; x < DIGIT_BIT; x++) { - if (b == (((mp_digit)1)<dp[0] & ((((mp_digit)1)<used)) != MP_OKAY) { - return res; - } - - q.used = a->used; - q.sign = a->sign; - w = 0; - for (ix = a->used - 1; ix >= 0; ix--) { - w = (w << ((mp_word)DIGIT_BIT)) | ((mp_word)a->dp[ix]); - - if (w >= b) { - t = (mp_digit)(w / b); - w -= ((mp_word)t) * ((mp_word)b); - } else { - t = 0; - } - q.dp[ix] = (mp_digit)t; - } - - if (d != NULL) { - *d = (mp_digit)w; - } - - if (c != NULL) { - mp_clamp(&q); - mp_exch(&q, c); - } - mp_clear(&q); - - return res; -} - -#endif - -/* End: bn_mp_div_d.c */ - -/* Start: bn_mp_dr_is_modulus.c */ -#include -#ifdef BN_MP_DR_IS_MODULUS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* determines if a number is a valid DR modulus */ -int mp_dr_is_modulus(mp_int *a) -{ - int ix; - - /* must be at least two digits */ - if (a->used < 2) { - return 0; - } - - /* must be of the form b**k - a [a <= b] so all - * but the first digit must be equal to -1 (mod b). - */ - for (ix = 1; ix < a->used; ix++) { - if (a->dp[ix] != MP_MASK) { - return 0; - } - } - return 1; -} - -#endif - -/* End: bn_mp_dr_is_modulus.c */ - -/* Start: bn_mp_dr_reduce.c */ -#include -#ifdef BN_MP_DR_REDUCE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* reduce "x" in place modulo "n" using the Diminished Radix algorithm. - * - * Based on algorithm from the paper - * - * "Generating Efficient Primes for Discrete Log Cryptosystems" - * Chae Hoon Lim, Pil Joong Lee, - * POSTECH Information Research Laboratories - * - * The modulus must be of a special format [see manual] - * - * Has been modified to use algorithm 7.10 from the LTM book instead - * - * Input x must be in the range 0 <= x <= (n-1)**2 - */ -int -mp_dr_reduce (mp_int * x, mp_int * n, mp_digit k) -{ - int err, i, m; - mp_word r; - mp_digit mu, *tmpx1, *tmpx2; - - /* m = digits in modulus */ - m = n->used; - - /* ensure that "x" has at least 2m digits */ - if (x->alloc < m + m) { - if ((err = mp_grow (x, m + m)) != MP_OKAY) { - return err; - } - } - -/* top of loop, this is where the code resumes if - * another reduction pass is required. - */ -top: - /* aliases for digits */ - /* alias for lower half of x */ - tmpx1 = x->dp; - - /* alias for upper half of x, or x/B**m */ - tmpx2 = x->dp + m; - - /* set carry to zero */ - mu = 0; - - /* compute (x mod B**m) + k * [x/B**m] inline and inplace */ - for (i = 0; i < m; i++) { - r = ((mp_word)*tmpx2++) * ((mp_word)k) + *tmpx1 + mu; - *tmpx1++ = (mp_digit)(r & MP_MASK); - mu = (mp_digit)(r >> ((mp_word)DIGIT_BIT)); - } - - /* set final carry */ - *tmpx1++ = mu; - - /* zero words above m */ - for (i = m + 1; i < x->used; i++) { - *tmpx1++ = 0; - } - - /* clamp, sub and return */ - mp_clamp (x); - - /* if x >= n then subtract and reduce again - * Each successive "recursion" makes the input smaller and smaller. - */ - if (mp_cmp_mag (x, n) != MP_LT) { - s_mp_sub(x, n, x); - goto top; - } - return MP_OKAY; -} -#endif - -/* End: bn_mp_dr_reduce.c */ - -/* Start: bn_mp_dr_setup.c */ -#include -#ifdef BN_MP_DR_SETUP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* determines the setup value */ -void mp_dr_setup(mp_int *a, mp_digit *d) -{ - /* the casts are required if DIGIT_BIT is one less than - * the number of bits in a mp_digit [e.g. DIGIT_BIT==31] - */ - *d = (mp_digit)((((mp_word)1) << ((mp_word)DIGIT_BIT)) - - ((mp_word)a->dp[0])); -} - -#endif - -/* End: bn_mp_dr_setup.c */ - -/* Start: bn_mp_exch.c */ -#include -#ifdef BN_MP_EXCH_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* swap the elements of two integers, for cases where you can't simply swap the - * mp_int pointers around - */ -void -mp_exch (mp_int * a, mp_int * b) -{ - mp_int t; - - t = *a; - *a = *b; - *b = t; -} -#endif - -/* End: bn_mp_exch.c */ - -/* Start: bn_mp_expt_d.c */ -#include -#ifdef BN_MP_EXPT_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* calculate c = a**b using a square-multiply algorithm */ -int mp_expt_d (mp_int * a, mp_digit b, mp_int * c) -{ - int res, x; - mp_int g; - - if ((res = mp_init_copy (&g, a)) != MP_OKAY) { - return res; - } - - /* set initial result */ - mp_set (c, 1); - - for (x = 0; x < (int) DIGIT_BIT; x++) { - /* square */ - if ((res = mp_sqr (c, c)) != MP_OKAY) { - mp_clear (&g); - return res; - } - - /* if the bit is set multiply */ - if ((b & (mp_digit) (((mp_digit)1) << (DIGIT_BIT - 1))) != 0) { - if ((res = mp_mul (c, &g, c)) != MP_OKAY) { - mp_clear (&g); - return res; - } - } - - /* shift to next bit */ - b <<= 1; - } - - mp_clear (&g); - return MP_OKAY; -} -#endif - -/* End: bn_mp_expt_d.c */ - -/* Start: bn_mp_exptmod.c */ -#include -#ifdef BN_MP_EXPTMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - - -/* this is a shell function that calls either the normal or Montgomery - * exptmod functions. Originally the call to the montgomery code was - * embedded in the normal function but that wasted alot of stack space - * for nothing (since 99% of the time the Montgomery code would be called) - */ -int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) -{ - int dr; - - /* modulus P must be positive */ - if (P->sign == MP_NEG) { - return MP_VAL; - } - - /* if exponent X is negative we have to recurse */ - if (X->sign == MP_NEG) { -#ifdef BN_MP_INVMOD_C - mp_int tmpG, tmpX; - int err; - - /* first compute 1/G mod P */ - if ((err = mp_init(&tmpG)) != MP_OKAY) { - return err; - } - if ((err = mp_invmod(G, P, &tmpG)) != MP_OKAY) { - mp_clear(&tmpG); - return err; - } - - /* now get |X| */ - if ((err = mp_init(&tmpX)) != MP_OKAY) { - mp_clear(&tmpG); - return err; - } - if ((err = mp_abs(X, &tmpX)) != MP_OKAY) { - mp_clear_multi(&tmpG, &tmpX, NULL); - return err; - } - - /* and now compute (1/G)**|X| instead of G**X [X < 0] */ - err = mp_exptmod(&tmpG, &tmpX, P, Y); - mp_clear_multi(&tmpG, &tmpX, NULL); - return err; -#else - /* no invmod */ - return MP_VAL; -#endif - } - -/* modified diminished radix reduction */ -#if defined(BN_MP_REDUCE_IS_2K_L_C) && defined(BN_MP_REDUCE_2K_L_C) && defined(BN_S_MP_EXPTMOD_C) - if (mp_reduce_is_2k_l(P) == MP_YES) { - return s_mp_exptmod(G, X, P, Y, 1); - } -#endif - -#ifdef BN_MP_DR_IS_MODULUS_C - /* is it a DR modulus? */ - dr = mp_dr_is_modulus(P); -#else - /* default to no */ - dr = 0; -#endif - -#ifdef BN_MP_REDUCE_IS_2K_C - /* if not, is it a unrestricted DR modulus? */ - if (dr == 0) { - dr = mp_reduce_is_2k(P) << 1; - } -#endif - - /* if the modulus is odd or dr != 0 use the montgomery method */ -#ifdef BN_MP_EXPTMOD_FAST_C - if (mp_isodd (P) == 1 || dr != 0) { - return mp_exptmod_fast (G, X, P, Y, dr); - } else { -#endif -#ifdef BN_S_MP_EXPTMOD_C - /* otherwise use the generic Barrett reduction technique */ - return s_mp_exptmod (G, X, P, Y, 0); -#else - /* no exptmod for evens */ - return MP_VAL; -#endif -#ifdef BN_MP_EXPTMOD_FAST_C - } -#endif -} - -#endif - -/* End: bn_mp_exptmod.c */ - -/* Start: bn_mp_exptmod_fast.c */ -#include -#ifdef BN_MP_EXPTMOD_FAST_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* computes Y == G**X mod P, HAC pp.616, Algorithm 14.85 - * - * Uses a left-to-right k-ary sliding window to compute the modular exponentiation. - * The value of k changes based on the size of the exponent. - * - * Uses Montgomery or Diminished Radix reduction [whichever appropriate] - */ - -#ifdef MP_LOW_MEM - #define TAB_SIZE 32 -#else - #define TAB_SIZE 256 -#endif - -int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) -{ - mp_int M[TAB_SIZE], res; - mp_digit buf, mp; - int err, bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize; - - /* use a pointer to the reduction algorithm. This allows us to use - * one of many reduction algorithms without modding the guts of - * the code with if statements everywhere. - */ - int (*redux)(mp_int*,mp_int*,mp_digit); - - /* find window size */ - x = mp_count_bits (X); - if (x <= 7) { - winsize = 2; - } else if (x <= 36) { - winsize = 3; - } else if (x <= 140) { - winsize = 4; - } else if (x <= 450) { - winsize = 5; - } else if (x <= 1303) { - winsize = 6; - } else if (x <= 3529) { - winsize = 7; - } else { - winsize = 8; - } - -#ifdef MP_LOW_MEM - if (winsize > 5) { - winsize = 5; - } -#endif - - /* init M array */ - /* init first cell */ - if ((err = mp_init(&M[1])) != MP_OKAY) { - return err; - } - - /* now init the second half of the array */ - for (x = 1<<(winsize-1); x < (1 << winsize); x++) { - if ((err = mp_init(&M[x])) != MP_OKAY) { - for (y = 1<<(winsize-1); y < x; y++) { - mp_clear (&M[y]); - } - mp_clear(&M[1]); - return err; - } - } - - /* determine and setup reduction code */ - if (redmode == 0) { -#ifdef BN_MP_MONTGOMERY_SETUP_C - /* now setup montgomery */ - if ((err = mp_montgomery_setup (P, &mp)) != MP_OKAY) { - goto LBL_M; - } -#else - err = MP_VAL; - goto LBL_M; -#endif - - /* automatically pick the comba one if available (saves quite a few calls/ifs) */ -#ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C - if (((P->used * 2 + 1) < MP_WARRAY) && - P->used < (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { - redux = fast_mp_montgomery_reduce; - } else -#endif - { -#ifdef BN_MP_MONTGOMERY_REDUCE_C - /* use slower baseline Montgomery method */ - redux = mp_montgomery_reduce; -#else - err = MP_VAL; - goto LBL_M; -#endif - } - } else if (redmode == 1) { -#if defined(BN_MP_DR_SETUP_C) && defined(BN_MP_DR_REDUCE_C) - /* setup DR reduction for moduli of the form B**k - b */ - mp_dr_setup(P, &mp); - redux = mp_dr_reduce; -#else - err = MP_VAL; - goto LBL_M; -#endif - } else { -#if defined(BN_MP_REDUCE_2K_SETUP_C) && defined(BN_MP_REDUCE_2K_C) - /* setup DR reduction for moduli of the form 2**k - b */ - if ((err = mp_reduce_2k_setup(P, &mp)) != MP_OKAY) { - goto LBL_M; - } - redux = mp_reduce_2k; -#else - err = MP_VAL; - goto LBL_M; -#endif - } - - /* setup result */ - if ((err = mp_init (&res)) != MP_OKAY) { - goto LBL_M; - } - - /* create M table - * - - * - * The first half of the table is not computed though accept for M[0] and M[1] - */ - - if (redmode == 0) { -#ifdef BN_MP_MONTGOMERY_CALC_NORMALIZATION_C - /* now we need R mod m */ - if ((err = mp_montgomery_calc_normalization (&res, P)) != MP_OKAY) { - goto LBL_RES; - } -#else - err = MP_VAL; - goto LBL_RES; -#endif - - /* now set M[1] to G * R mod m */ - if ((err = mp_mulmod (G, &res, P, &M[1])) != MP_OKAY) { - goto LBL_RES; - } - } else { - mp_set(&res, 1); - if ((err = mp_mod(G, P, &M[1])) != MP_OKAY) { - goto LBL_RES; - } - } - - /* compute the value at M[1<<(winsize-1)] by squaring M[1] (winsize-1) times */ - if ((err = mp_copy (&M[1], &M[1 << (winsize - 1)])) != MP_OKAY) { - goto LBL_RES; - } - - for (x = 0; x < (winsize - 1); x++) { - if ((err = mp_sqr (&M[1 << (winsize - 1)], &M[1 << (winsize - 1)])) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&M[1 << (winsize - 1)], P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* create upper table */ - for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) { - if ((err = mp_mul (&M[x - 1], &M[1], &M[x])) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&M[x], P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* set initial mode and bit cnt */ - mode = 0; - bitcnt = 1; - buf = 0; - digidx = X->used - 1; - bitcpy = 0; - bitbuf = 0; - - for (;;) { - /* grab next digit as required */ - if (--bitcnt == 0) { - /* if digidx == -1 we are out of digits so break */ - if (digidx == -1) { - break; - } - /* read next digit and reset bitcnt */ - buf = X->dp[digidx--]; - bitcnt = (int)DIGIT_BIT; - } - - /* grab the next msb from the exponent */ - y = (mp_digit)(buf >> (DIGIT_BIT - 1)) & 1; - buf <<= (mp_digit)1; - - /* if the bit is zero and mode == 0 then we ignore it - * These represent the leading zero bits before the first 1 bit - * in the exponent. Technically this opt is not required but it - * does lower the # of trivial squaring/reductions used - */ - if (mode == 0 && y == 0) { - continue; - } - - /* if the bit is zero and mode == 1 then we square */ - if (mode == 1 && y == 0) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - continue; - } - - /* else we add it to the window */ - bitbuf |= (y << (winsize - ++bitcpy)); - mode = 2; - - if (bitcpy == winsize) { - /* ok window is filled so square as required and multiply */ - /* square first */ - for (x = 0; x < winsize; x++) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* then multiply */ - if ((err = mp_mul (&res, &M[bitbuf], &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - - /* empty window and reset */ - bitcpy = 0; - bitbuf = 0; - mode = 1; - } - } - - /* if bits remain then square/multiply */ - if (mode == 2 && bitcpy > 0) { - /* square then multiply if the bit is set */ - for (x = 0; x < bitcpy; x++) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - - /* get next bit of the window */ - bitbuf <<= 1; - if ((bitbuf & (1 << winsize)) != 0) { - /* then multiply */ - if ((err = mp_mul (&res, &M[1], &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - } - } - - if (redmode == 0) { - /* fixup result if Montgomery reduction is used - * recall that any value in a Montgomery system is - * actually multiplied by R mod n. So we have - * to reduce one more time to cancel out the factor - * of R. - */ - if ((err = redux(&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* swap res with Y */ - mp_exch (&res, Y); - err = MP_OKAY; -LBL_RES:mp_clear (&res); -LBL_M: - mp_clear(&M[1]); - for (x = 1<<(winsize-1); x < (1 << winsize); x++) { - mp_clear (&M[x]); - } - return err; -} -#endif - -/* End: bn_mp_exptmod_fast.c */ - -/* Start: bn_mp_exteuclid.c */ -#include -#ifdef BN_MP_EXTEUCLID_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* Extended euclidean algorithm of (a, b) produces - a*u1 + b*u2 = u3 - */ -int mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3) -{ - mp_int u1,u2,u3,v1,v2,v3,t1,t2,t3,q,tmp; - int err; - - if ((err = mp_init_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL)) != MP_OKAY) { - return err; - } - - /* initialize, (u1,u2,u3) = (1,0,a) */ - mp_set(&u1, 1); - if ((err = mp_copy(a, &u3)) != MP_OKAY) { goto _ERR; } - - /* initialize, (v1,v2,v3) = (0,1,b) */ - mp_set(&v2, 1); - if ((err = mp_copy(b, &v3)) != MP_OKAY) { goto _ERR; } - - /* loop while v3 != 0 */ - while (mp_iszero(&v3) == MP_NO) { - /* q = u3/v3 */ - if ((err = mp_div(&u3, &v3, &q, NULL)) != MP_OKAY) { goto _ERR; } - - /* (t1,t2,t3) = (u1,u2,u3) - (v1,v2,v3)q */ - if ((err = mp_mul(&v1, &q, &tmp)) != MP_OKAY) { goto _ERR; } - if ((err = mp_sub(&u1, &tmp, &t1)) != MP_OKAY) { goto _ERR; } - if ((err = mp_mul(&v2, &q, &tmp)) != MP_OKAY) { goto _ERR; } - if ((err = mp_sub(&u2, &tmp, &t2)) != MP_OKAY) { goto _ERR; } - if ((err = mp_mul(&v3, &q, &tmp)) != MP_OKAY) { goto _ERR; } - if ((err = mp_sub(&u3, &tmp, &t3)) != MP_OKAY) { goto _ERR; } - - /* (u1,u2,u3) = (v1,v2,v3) */ - if ((err = mp_copy(&v1, &u1)) != MP_OKAY) { goto _ERR; } - if ((err = mp_copy(&v2, &u2)) != MP_OKAY) { goto _ERR; } - if ((err = mp_copy(&v3, &u3)) != MP_OKAY) { goto _ERR; } - - /* (v1,v2,v3) = (t1,t2,t3) */ - if ((err = mp_copy(&t1, &v1)) != MP_OKAY) { goto _ERR; } - if ((err = mp_copy(&t2, &v2)) != MP_OKAY) { goto _ERR; } - if ((err = mp_copy(&t3, &v3)) != MP_OKAY) { goto _ERR; } - } - - /* make sure U3 >= 0 */ - if (u3.sign == MP_NEG) { - mp_neg(&u1, &u1); - mp_neg(&u2, &u2); - mp_neg(&u3, &u3); - } - - /* copy result out */ - if (U1 != NULL) { mp_exch(U1, &u1); } - if (U2 != NULL) { mp_exch(U2, &u2); } - if (U3 != NULL) { mp_exch(U3, &u3); } - - err = MP_OKAY; -_ERR: mp_clear_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL); - return err; -} -#endif - -/* End: bn_mp_exteuclid.c */ - -/* Start: bn_mp_fread.c */ -#include -#ifdef BN_MP_FREAD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* read a bigint from a file stream in ASCII */ -int mp_fread(mp_int *a, int radix, FILE *stream) -{ - int err, ch, neg, y; - - /* clear a */ - mp_zero(a); - - /* if first digit is - then set negative */ - ch = fgetc(stream); - if (ch == '-') { - neg = MP_NEG; - ch = fgetc(stream); - } else { - neg = MP_ZPOS; - } - - for (;;) { - /* find y in the radix map */ - for (y = 0; y < radix; y++) { - if (mp_s_rmap[y] == ch) { - break; - } - } - if (y == radix) { - break; - } - - /* shift up and add */ - if ((err = mp_mul_d(a, radix, a)) != MP_OKAY) { - return err; - } - if ((err = mp_add_d(a, y, a)) != MP_OKAY) { - return err; - } - - ch = fgetc(stream); - } - if (mp_cmp_d(a, 0) != MP_EQ) { - a->sign = neg; - } - - return MP_OKAY; -} - -#endif - -/* End: bn_mp_fread.c */ - -/* Start: bn_mp_fwrite.c */ -#include -#ifdef BN_MP_FWRITE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -int mp_fwrite(mp_int *a, int radix, FILE *stream) -{ - char *buf; - int err, len, x; - - if ((err = mp_radix_size(a, radix, &len)) != MP_OKAY) { - return err; - } - - buf = OPT_CAST(char) XMALLOC (len); - if (buf == NULL) { - return MP_MEM; - } - - if ((err = mp_toradix(a, buf, radix)) != MP_OKAY) { - XFREE (buf); - return err; - } - - for (x = 0; x < len; x++) { - if (fputc(buf[x], stream) == EOF) { - XFREE (buf); - return MP_VAL; - } - } - - XFREE (buf); - return MP_OKAY; -} - -#endif - -/* End: bn_mp_fwrite.c */ - -/* Start: bn_mp_gcd.c */ -#include -#ifdef BN_MP_GCD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* Greatest Common Divisor using the binary method */ -int mp_gcd (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int u, v; - int k, u_lsb, v_lsb, res; - - /* either zero than gcd is the largest */ - if (mp_iszero (a) == MP_YES) { - return mp_abs (b, c); - } - if (mp_iszero (b) == MP_YES) { - return mp_abs (a, c); - } - - /* get copies of a and b we can modify */ - if ((res = mp_init_copy (&u, a)) != MP_OKAY) { - return res; - } - - if ((res = mp_init_copy (&v, b)) != MP_OKAY) { - goto LBL_U; - } - - /* must be positive for the remainder of the algorithm */ - u.sign = v.sign = MP_ZPOS; - - /* B1. Find the common power of two for u and v */ - u_lsb = mp_cnt_lsb(&u); - v_lsb = mp_cnt_lsb(&v); - k = MIN(u_lsb, v_lsb); - - if (k > 0) { - /* divide the power of two out */ - if ((res = mp_div_2d(&u, k, &u, NULL)) != MP_OKAY) { - goto LBL_V; - } - - if ((res = mp_div_2d(&v, k, &v, NULL)) != MP_OKAY) { - goto LBL_V; - } - } - - /* divide any remaining factors of two out */ - if (u_lsb != k) { - if ((res = mp_div_2d(&u, u_lsb - k, &u, NULL)) != MP_OKAY) { - goto LBL_V; - } - } - - if (v_lsb != k) { - if ((res = mp_div_2d(&v, v_lsb - k, &v, NULL)) != MP_OKAY) { - goto LBL_V; - } - } - - while (mp_iszero(&v) == 0) { - /* make sure v is the largest */ - if (mp_cmp_mag(&u, &v) == MP_GT) { - /* swap u and v to make sure v is >= u */ - mp_exch(&u, &v); - } - - /* subtract smallest from largest */ - if ((res = s_mp_sub(&v, &u, &v)) != MP_OKAY) { - goto LBL_V; - } - - /* Divide out all factors of two */ - if ((res = mp_div_2d(&v, mp_cnt_lsb(&v), &v, NULL)) != MP_OKAY) { - goto LBL_V; - } - } - - /* multiply by 2**k which we divided out at the beginning */ - if ((res = mp_mul_2d (&u, k, c)) != MP_OKAY) { - goto LBL_V; - } - c->sign = MP_ZPOS; - res = MP_OKAY; -LBL_V:mp_clear (&u); -LBL_U:mp_clear (&v); - return res; -} -#endif - -/* End: bn_mp_gcd.c */ - -/* Start: bn_mp_get_int.c */ -#include -#ifdef BN_MP_GET_INT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* get the lower 32-bits of an mp_int */ -unsigned long mp_get_int(mp_int * a) -{ - int i; - unsigned long res; - - if (a->used == 0) { - return 0; - } - - /* get number of digits of the lsb we have to read */ - i = MIN(a->used,(int)((sizeof(unsigned long)*CHAR_BIT+DIGIT_BIT-1)/DIGIT_BIT))-1; - - /* get most significant digit of result */ - res = DIGIT(a,i); - - while (--i >= 0) { - res = (res << DIGIT_BIT) | DIGIT(a,i); - } - - /* force result to 32-bits always so it is consistent on non 32-bit platforms */ - return res & 0xFFFFFFFFUL; -} -#endif - -/* End: bn_mp_get_int.c */ - -/* Start: bn_mp_grow.c */ -#include -#ifdef BN_MP_GROW_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* grow as required */ -int mp_grow (mp_int * a, int size) -{ - int i; - mp_digit *tmp; - - /* if the alloc size is smaller alloc more ram */ - if (a->alloc < size) { - /* ensure there are always at least MP_PREC digits extra on top */ - size += (MP_PREC * 2) - (size % MP_PREC); - - /* reallocate the array a->dp - * - * We store the return in a temporary variable - * in case the operation failed we don't want - * to overwrite the dp member of a. - */ - tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * size); - if (tmp == NULL) { - /* reallocation failed but "a" is still valid [can be freed] */ - return MP_MEM; - } - - /* reallocation succeeded so set a->dp */ - a->dp = tmp; - - /* zero excess digits */ - i = a->alloc; - a->alloc = size; - for (; i < a->alloc; i++) { - a->dp[i] = 0; - } - } - return MP_OKAY; -} -#endif - -/* End: bn_mp_grow.c */ - -/* Start: bn_mp_init.c */ -#include -#ifdef BN_MP_INIT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* init a new mp_int */ -int mp_init (mp_int * a) -{ - int i; - - /* allocate memory required and clear it */ - a->dp = OPT_CAST(mp_digit) XMALLOC (sizeof (mp_digit) * MP_PREC); - if (a->dp == NULL) { - return MP_MEM; - } - - /* set the digits to zero */ - for (i = 0; i < MP_PREC; i++) { - a->dp[i] = 0; - } - - /* set the used to zero, allocated digits to the default precision - * and sign to positive */ - a->used = 0; - a->alloc = MP_PREC; - a->sign = MP_ZPOS; - - return MP_OKAY; -} -#endif - -/* End: bn_mp_init.c */ - -/* Start: bn_mp_init_copy.c */ -#include -#ifdef BN_MP_INIT_COPY_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* creates "a" then copies b into it */ -int mp_init_copy (mp_int * a, mp_int * b) -{ - int res; - - if ((res = mp_init (a)) != MP_OKAY) { - return res; - } - return mp_copy (b, a); -} -#endif - -/* End: bn_mp_init_copy.c */ - -/* Start: bn_mp_init_multi.c */ -#include -#ifdef BN_MP_INIT_MULTI_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ -#include - -int mp_init_multi(mp_int *mp, ...) -{ - mp_err res = MP_OKAY; /* Assume ok until proven otherwise */ - int n = 0; /* Number of ok inits */ - mp_int* cur_arg = mp; - va_list args; - - va_start(args, mp); /* init args to next argument from caller */ - while (cur_arg != NULL) { - if (mp_init(cur_arg) != MP_OKAY) { - /* Oops - error! Back-track and mp_clear what we already - succeeded in init-ing, then return error. - */ - va_list clean_args; - - /* end the current list */ - va_end(args); - - /* now start cleaning up */ - cur_arg = mp; - va_start(clean_args, mp); - while (n--) { - mp_clear(cur_arg); - cur_arg = va_arg(clean_args, mp_int*); - } - va_end(clean_args); - res = MP_MEM; - break; - } - n++; - cur_arg = va_arg(args, mp_int*); - } - va_end(args); - return res; /* Assumed ok, if error flagged above. */ -} - -#endif - -/* End: bn_mp_init_multi.c */ - -/* Start: bn_mp_init_set.c */ -#include -#ifdef BN_MP_INIT_SET_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* initialize and set a digit */ -int mp_init_set (mp_int * a, mp_digit b) -{ - int err; - if ((err = mp_init(a)) != MP_OKAY) { - return err; - } - mp_set(a, b); - return err; -} -#endif - -/* End: bn_mp_init_set.c */ - -/* Start: bn_mp_init_set_int.c */ -#include -#ifdef BN_MP_INIT_SET_INT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* initialize and set a digit */ -int mp_init_set_int (mp_int * a, unsigned long b) -{ - int err; - if ((err = mp_init(a)) != MP_OKAY) { - return err; - } - return mp_set_int(a, b); -} -#endif - -/* End: bn_mp_init_set_int.c */ - -/* Start: bn_mp_init_size.c */ -#include -#ifdef BN_MP_INIT_SIZE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* init an mp_init for a given size */ -int mp_init_size (mp_int * a, int size) -{ - int x; - - /* pad size so there are always extra digits */ - size += (MP_PREC * 2) - (size % MP_PREC); - - /* alloc mem */ - a->dp = OPT_CAST(mp_digit) XMALLOC (sizeof (mp_digit) * size); - if (a->dp == NULL) { - return MP_MEM; - } - - /* set the members */ - a->used = 0; - a->alloc = size; - a->sign = MP_ZPOS; - - /* zero the digits */ - for (x = 0; x < size; x++) { - a->dp[x] = 0; - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_init_size.c */ - -/* Start: bn_mp_invmod.c */ -#include -#ifdef BN_MP_INVMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* hac 14.61, pp608 */ -int mp_invmod (mp_int * a, mp_int * b, mp_int * c) -{ - /* b cannot be negative */ - if (b->sign == MP_NEG || mp_iszero(b) == 1) { - return MP_VAL; - } - -#ifdef BN_FAST_MP_INVMOD_C - /* if the modulus is odd we can use a faster routine instead */ - if (mp_isodd (b) == 1) { - return fast_mp_invmod (a, b, c); - } -#endif - -#ifdef BN_MP_INVMOD_SLOW_C - return mp_invmod_slow(a, b, c); -#endif - - return MP_VAL; -} -#endif - -/* End: bn_mp_invmod.c */ - -/* Start: bn_mp_invmod_slow.c */ -#include -#ifdef BN_MP_INVMOD_SLOW_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* hac 14.61, pp608 */ -int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int x, y, u, v, A, B, C, D; - int res; - - /* b cannot be negative */ - if (b->sign == MP_NEG || mp_iszero(b) == 1) { - return MP_VAL; - } - - /* init temps */ - if ((res = mp_init_multi(&x, &y, &u, &v, - &A, &B, &C, &D, NULL)) != MP_OKAY) { - return res; - } - - /* x = a, y = b */ - if ((res = mp_mod(a, b, &x)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_copy (b, &y)) != MP_OKAY) { - goto LBL_ERR; - } - - /* 2. [modified] if x,y are both even then return an error! */ - if (mp_iseven (&x) == 1 && mp_iseven (&y) == 1) { - res = MP_VAL; - goto LBL_ERR; - } - - /* 3. u=x, v=y, A=1, B=0, C=0,D=1 */ - if ((res = mp_copy (&x, &u)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_copy (&y, &v)) != MP_OKAY) { - goto LBL_ERR; - } - mp_set (&A, 1); - mp_set (&D, 1); - -top: - /* 4. while u is even do */ - while (mp_iseven (&u) == 1) { - /* 4.1 u = u/2 */ - if ((res = mp_div_2 (&u, &u)) != MP_OKAY) { - goto LBL_ERR; - } - /* 4.2 if A or B is odd then */ - if (mp_isodd (&A) == 1 || mp_isodd (&B) == 1) { - /* A = (A+y)/2, B = (B-x)/2 */ - if ((res = mp_add (&A, &y, &A)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_sub (&B, &x, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } - /* A = A/2, B = B/2 */ - if ((res = mp_div_2 (&A, &A)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_div_2 (&B, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* 5. while v is even do */ - while (mp_iseven (&v) == 1) { - /* 5.1 v = v/2 */ - if ((res = mp_div_2 (&v, &v)) != MP_OKAY) { - goto LBL_ERR; - } - /* 5.2 if C or D is odd then */ - if (mp_isodd (&C) == 1 || mp_isodd (&D) == 1) { - /* C = (C+y)/2, D = (D-x)/2 */ - if ((res = mp_add (&C, &y, &C)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_sub (&D, &x, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - /* C = C/2, D = D/2 */ - if ((res = mp_div_2 (&C, &C)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_div_2 (&D, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* 6. if u >= v then */ - if (mp_cmp (&u, &v) != MP_LT) { - /* u = u - v, A = A - C, B = B - D */ - if ((res = mp_sub (&u, &v, &u)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub (&A, &C, &A)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub (&B, &D, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } else { - /* v - v - u, C = C - A, D = D - B */ - if ((res = mp_sub (&v, &u, &v)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub (&C, &A, &C)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub (&D, &B, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* if not zero goto step 4 */ - if (mp_iszero (&u) == 0) - goto top; - - /* now a = C, b = D, gcd == g*v */ - - /* if v != 1 then there is no inverse */ - if (mp_cmp_d (&v, 1) != MP_EQ) { - res = MP_VAL; - goto LBL_ERR; - } - - /* if its too low */ - while (mp_cmp_d(&C, 0) == MP_LT) { - if ((res = mp_add(&C, b, &C)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* too big */ - while (mp_cmp_mag(&C, b) != MP_LT) { - if ((res = mp_sub(&C, b, &C)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* C is now the inverse */ - mp_exch (&C, c); - res = MP_OKAY; -LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); - return res; -} -#endif - -/* End: bn_mp_invmod_slow.c */ - -/* Start: bn_mp_is_square.c */ -#include -#ifdef BN_MP_IS_SQUARE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* Check if remainders are possible squares - fast exclude non-squares */ -static const char rem_128[128] = { - 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1 -}; - -static const char rem_105[105] = { - 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, - 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, - 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, - 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, - 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, - 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1 -}; - -/* Store non-zero to ret if arg is square, and zero if not */ -int mp_is_square(mp_int *arg,int *ret) -{ - int res; - mp_digit c; - mp_int t; - unsigned long r; - - /* Default to Non-square :) */ - *ret = MP_NO; - - if (arg->sign == MP_NEG) { - return MP_VAL; - } - - /* digits used? (TSD) */ - if (arg->used == 0) { - return MP_OKAY; - } - - /* First check mod 128 (suppose that DIGIT_BIT is at least 7) */ - if (rem_128[127 & DIGIT(arg,0)] == 1) { - return MP_OKAY; - } - - /* Next check mod 105 (3*5*7) */ - if ((res = mp_mod_d(arg,105,&c)) != MP_OKAY) { - return res; - } - if (rem_105[c] == 1) { - return MP_OKAY; - } - - - if ((res = mp_init_set_int(&t,11L*13L*17L*19L*23L*29L*31L)) != MP_OKAY) { - return res; - } - if ((res = mp_mod(arg,&t,&t)) != MP_OKAY) { - goto ERR; - } - r = mp_get_int(&t); - /* Check for other prime modules, note it's not an ERROR but we must - * free "t" so the easiest way is to goto ERR. We know that res - * is already equal to MP_OKAY from the mp_mod call - */ - if ( (1L<<(r%11)) & 0x5C4L ) goto ERR; - if ( (1L<<(r%13)) & 0x9E4L ) goto ERR; - if ( (1L<<(r%17)) & 0x5CE8L ) goto ERR; - if ( (1L<<(r%19)) & 0x4F50CL ) goto ERR; - if ( (1L<<(r%23)) & 0x7ACCA0L ) goto ERR; - if ( (1L<<(r%29)) & 0xC2EDD0CL ) goto ERR; - if ( (1L<<(r%31)) & 0x6DE2B848L ) goto ERR; - - /* Final check - is sqr(sqrt(arg)) == arg ? */ - if ((res = mp_sqrt(arg,&t)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sqr(&t,&t)) != MP_OKAY) { - goto ERR; - } - - *ret = (mp_cmp_mag(&t,arg) == MP_EQ) ? MP_YES : MP_NO; -ERR:mp_clear(&t); - return res; -} -#endif - -/* End: bn_mp_is_square.c */ - -/* Start: bn_mp_jacobi.c */ -#include -#ifdef BN_MP_JACOBI_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* computes the jacobi c = (a | n) (or Legendre if n is prime) - * HAC pp. 73 Algorithm 2.149 - */ -int mp_jacobi (mp_int * a, mp_int * p, int *c) -{ - mp_int a1, p1; - int k, s, r, res; - mp_digit residue; - - /* if p <= 0 return MP_VAL */ - if (mp_cmp_d(p, 0) != MP_GT) { - return MP_VAL; - } - - /* step 1. if a == 0, return 0 */ - if (mp_iszero (a) == 1) { - *c = 0; - return MP_OKAY; - } - - /* step 2. if a == 1, return 1 */ - if (mp_cmp_d (a, 1) == MP_EQ) { - *c = 1; - return MP_OKAY; - } - - /* default */ - s = 0; - - /* step 3. write a = a1 * 2**k */ - if ((res = mp_init_copy (&a1, a)) != MP_OKAY) { - return res; - } - - if ((res = mp_init (&p1)) != MP_OKAY) { - goto LBL_A1; - } - - /* divide out larger power of two */ - k = mp_cnt_lsb(&a1); - if ((res = mp_div_2d(&a1, k, &a1, NULL)) != MP_OKAY) { - goto LBL_P1; - } - - /* step 4. if e is even set s=1 */ - if ((k & 1) == 0) { - s = 1; - } else { - /* else set s=1 if p = 1/7 (mod 8) or s=-1 if p = 3/5 (mod 8) */ - residue = p->dp[0] & 7; - - if (residue == 1 || residue == 7) { - s = 1; - } else if (residue == 3 || residue == 5) { - s = -1; - } - } - - /* step 5. if p == 3 (mod 4) *and* a1 == 3 (mod 4) then s = -s */ - if ( ((p->dp[0] & 3) == 3) && ((a1.dp[0] & 3) == 3)) { - s = -s; - } - - /* if a1 == 1 we're done */ - if (mp_cmp_d (&a1, 1) == MP_EQ) { - *c = s; - } else { - /* n1 = n mod a1 */ - if ((res = mp_mod (p, &a1, &p1)) != MP_OKAY) { - goto LBL_P1; - } - if ((res = mp_jacobi (&p1, &a1, &r)) != MP_OKAY) { - goto LBL_P1; - } - *c = s * r; - } - - /* done */ - res = MP_OKAY; -LBL_P1:mp_clear (&p1); -LBL_A1:mp_clear (&a1); - return res; -} -#endif - -/* End: bn_mp_jacobi.c */ - -/* Start: bn_mp_karatsuba_mul.c */ -#include -#ifdef BN_MP_KARATSUBA_MUL_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* c = |a| * |b| using Karatsuba Multiplication using - * three half size multiplications - * - * Let B represent the radix [e.g. 2**DIGIT_BIT] and - * let n represent half of the number of digits in - * the min(a,b) - * - * a = a1 * B**n + a0 - * b = b1 * B**n + b0 - * - * Then, a * b => - a1b1 * B**2n + ((a1 + a0)(b1 + b0) - (a0b0 + a1b1)) * B + a0b0 - * - * Note that a1b1 and a0b0 are used twice and only need to be - * computed once. So in total three half size (half # of - * digit) multiplications are performed, a0b0, a1b1 and - * (a1+b1)(a0+b0) - * - * Note that a multiplication of half the digits requires - * 1/4th the number of single precision multiplications so in - * total after one call 25% of the single precision multiplications - * are saved. Note also that the call to mp_mul can end up back - * in this function if the a0, a1, b0, or b1 are above the threshold. - * This is known as divide-and-conquer and leads to the famous - * O(N**lg(3)) or O(N**1.584) work which is asymptopically lower than - * the standard O(N**2) that the baseline/comba methods use. - * Generally though the overhead of this method doesn't pay off - * until a certain size (N ~ 80) is reached. - */ -int mp_karatsuba_mul (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int x0, x1, y0, y1, t1, x0y0, x1y1; - int B, err; - - /* default the return code to an error */ - err = MP_MEM; - - /* min # of digits */ - B = MIN (a->used, b->used); - - /* now divide in two */ - B = B >> 1; - - /* init copy all the temps */ - if (mp_init_size (&x0, B) != MP_OKAY) - goto ERR; - if (mp_init_size (&x1, a->used - B) != MP_OKAY) - goto X0; - if (mp_init_size (&y0, B) != MP_OKAY) - goto X1; - if (mp_init_size (&y1, b->used - B) != MP_OKAY) - goto Y0; - - /* init temps */ - if (mp_init_size (&t1, B * 2) != MP_OKAY) - goto Y1; - if (mp_init_size (&x0y0, B * 2) != MP_OKAY) - goto T1; - if (mp_init_size (&x1y1, B * 2) != MP_OKAY) - goto X0Y0; - - /* now shift the digits */ - x0.used = y0.used = B; - x1.used = a->used - B; - y1.used = b->used - B; - - { - register int x; - register mp_digit *tmpa, *tmpb, *tmpx, *tmpy; - - /* we copy the digits directly instead of using higher level functions - * since we also need to shift the digits - */ - tmpa = a->dp; - tmpb = b->dp; - - tmpx = x0.dp; - tmpy = y0.dp; - for (x = 0; x < B; x++) { - *tmpx++ = *tmpa++; - *tmpy++ = *tmpb++; - } - - tmpx = x1.dp; - for (x = B; x < a->used; x++) { - *tmpx++ = *tmpa++; - } - - tmpy = y1.dp; - for (x = B; x < b->used; x++) { - *tmpy++ = *tmpb++; - } - } - - /* only need to clamp the lower words since by definition the - * upper words x1/y1 must have a known number of digits - */ - mp_clamp (&x0); - mp_clamp (&y0); - - /* now calc the products x0y0 and x1y1 */ - /* after this x0 is no longer required, free temp [x0==t2]! */ - if (mp_mul (&x0, &y0, &x0y0) != MP_OKAY) - goto X1Y1; /* x0y0 = x0*y0 */ - if (mp_mul (&x1, &y1, &x1y1) != MP_OKAY) - goto X1Y1; /* x1y1 = x1*y1 */ - - /* now calc x1+x0 and y1+y0 */ - if (s_mp_add (&x1, &x0, &t1) != MP_OKAY) - goto X1Y1; /* t1 = x1 - x0 */ - if (s_mp_add (&y1, &y0, &x0) != MP_OKAY) - goto X1Y1; /* t2 = y1 - y0 */ - if (mp_mul (&t1, &x0, &t1) != MP_OKAY) - goto X1Y1; /* t1 = (x1 + x0) * (y1 + y0) */ - - /* add x0y0 */ - if (mp_add (&x0y0, &x1y1, &x0) != MP_OKAY) - goto X1Y1; /* t2 = x0y0 + x1y1 */ - if (s_mp_sub (&t1, &x0, &t1) != MP_OKAY) - goto X1Y1; /* t1 = (x1+x0)*(y1+y0) - (x1y1 + x0y0) */ - - /* shift by B */ - if (mp_lshd (&t1, B) != MP_OKAY) - goto X1Y1; /* t1 = (x0y0 + x1y1 - (x1-x0)*(y1-y0))< -#ifdef BN_MP_KARATSUBA_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* Karatsuba squaring, computes b = a*a using three - * half size squarings - * - * See comments of karatsuba_mul for details. It - * is essentially the same algorithm but merely - * tuned to perform recursive squarings. - */ -int mp_karatsuba_sqr (mp_int * a, mp_int * b) -{ - mp_int x0, x1, t1, t2, x0x0, x1x1; - int B, err; - - err = MP_MEM; - - /* min # of digits */ - B = a->used; - - /* now divide in two */ - B = B >> 1; - - /* init copy all the temps */ - if (mp_init_size (&x0, B) != MP_OKAY) - goto ERR; - if (mp_init_size (&x1, a->used - B) != MP_OKAY) - goto X0; - - /* init temps */ - if (mp_init_size (&t1, a->used * 2) != MP_OKAY) - goto X1; - if (mp_init_size (&t2, a->used * 2) != MP_OKAY) - goto T1; - if (mp_init_size (&x0x0, B * 2) != MP_OKAY) - goto T2; - if (mp_init_size (&x1x1, (a->used - B) * 2) != MP_OKAY) - goto X0X0; - - { - register int x; - register mp_digit *dst, *src; - - src = a->dp; - - /* now shift the digits */ - dst = x0.dp; - for (x = 0; x < B; x++) { - *dst++ = *src++; - } - - dst = x1.dp; - for (x = B; x < a->used; x++) { - *dst++ = *src++; - } - } - - x0.used = B; - x1.used = a->used - B; - - mp_clamp (&x0); - - /* now calc the products x0*x0 and x1*x1 */ - if (mp_sqr (&x0, &x0x0) != MP_OKAY) - goto X1X1; /* x0x0 = x0*x0 */ - if (mp_sqr (&x1, &x1x1) != MP_OKAY) - goto X1X1; /* x1x1 = x1*x1 */ - - /* now calc (x1+x0)**2 */ - if (s_mp_add (&x1, &x0, &t1) != MP_OKAY) - goto X1X1; /* t1 = x1 - x0 */ - if (mp_sqr (&t1, &t1) != MP_OKAY) - goto X1X1; /* t1 = (x1 - x0) * (x1 - x0) */ - - /* add x0y0 */ - if (s_mp_add (&x0x0, &x1x1, &t2) != MP_OKAY) - goto X1X1; /* t2 = x0x0 + x1x1 */ - if (s_mp_sub (&t1, &t2, &t1) != MP_OKAY) - goto X1X1; /* t1 = (x1+x0)**2 - (x0x0 + x1x1) */ - - /* shift by B */ - if (mp_lshd (&t1, B) != MP_OKAY) - goto X1X1; /* t1 = (x0x0 + x1x1 - (x1-x0)*(x1-x0))< -#ifdef BN_MP_LCM_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* computes least common multiple as |a*b|/(a, b) */ -int mp_lcm (mp_int * a, mp_int * b, mp_int * c) -{ - int res; - mp_int t1, t2; - - - if ((res = mp_init_multi (&t1, &t2, NULL)) != MP_OKAY) { - return res; - } - - /* t1 = get the GCD of the two inputs */ - if ((res = mp_gcd (a, b, &t1)) != MP_OKAY) { - goto LBL_T; - } - - /* divide the smallest by the GCD */ - if (mp_cmp_mag(a, b) == MP_LT) { - /* store quotient in t2 such that t2 * b is the LCM */ - if ((res = mp_div(a, &t1, &t2, NULL)) != MP_OKAY) { - goto LBL_T; - } - res = mp_mul(b, &t2, c); - } else { - /* store quotient in t2 such that t2 * a is the LCM */ - if ((res = mp_div(b, &t1, &t2, NULL)) != MP_OKAY) { - goto LBL_T; - } - res = mp_mul(a, &t2, c); - } - - /* fix the sign to positive */ - c->sign = MP_ZPOS; - -LBL_T: - mp_clear_multi (&t1, &t2, NULL); - return res; -} -#endif - -/* End: bn_mp_lcm.c */ - -/* Start: bn_mp_lshd.c */ -#include -#ifdef BN_MP_LSHD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* shift left a certain amount of digits */ -int mp_lshd (mp_int * a, int b) -{ - int x, res; - - /* if its less than zero return */ - if (b <= 0) { - return MP_OKAY; - } - - /* grow to fit the new digits */ - if (a->alloc < a->used + b) { - if ((res = mp_grow (a, a->used + b)) != MP_OKAY) { - return res; - } - } - - { - register mp_digit *top, *bottom; - - /* increment the used by the shift amount then copy upwards */ - a->used += b; - - /* top */ - top = a->dp + a->used - 1; - - /* base */ - bottom = a->dp + a->used - 1 - b; - - /* much like mp_rshd this is implemented using a sliding window - * except the window goes the otherway around. Copying from - * the bottom to the top. see bn_mp_rshd.c for more info. - */ - for (x = a->used - 1; x >= b; x--) { - *top-- = *bottom--; - } - - /* zero the lower digits */ - top = a->dp; - for (x = 0; x < b; x++) { - *top++ = 0; - } - } - return MP_OKAY; -} -#endif - -/* End: bn_mp_lshd.c */ - -/* Start: bn_mp_mod.c */ -#include -#ifdef BN_MP_MOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* c = a mod b, 0 <= c < b */ -int -mp_mod (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int t; - int res; - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - if ((res = mp_div (a, b, NULL, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - - if (t.sign != b->sign) { - res = mp_add (b, &t, c); - } else { - res = MP_OKAY; - mp_exch (&t, c); - } - - mp_clear (&t); - return res; -} -#endif - -/* End: bn_mp_mod.c */ - -/* Start: bn_mp_mod_2d.c */ -#include -#ifdef BN_MP_MOD_2D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* calc a value mod 2**b */ -int -mp_mod_2d (mp_int * a, int b, mp_int * c) -{ - int x, res; - - /* if b is <= 0 then zero the int */ - if (b <= 0) { - mp_zero (c); - return MP_OKAY; - } - - /* if the modulus is larger than the value than return */ - if (b >= (int) (a->used * DIGIT_BIT)) { - res = mp_copy (a, c); - return res; - } - - /* copy */ - if ((res = mp_copy (a, c)) != MP_OKAY) { - return res; - } - - /* zero digits above the last digit of the modulus */ - for (x = (b / DIGIT_BIT) + ((b % DIGIT_BIT) == 0 ? 0 : 1); x < c->used; x++) { - c->dp[x] = 0; - } - /* clear the digit that is not completely outside/inside the modulus */ - c->dp[b / DIGIT_BIT] &= - (mp_digit) ((((mp_digit) 1) << (((mp_digit) b) % DIGIT_BIT)) - ((mp_digit) 1)); - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* End: bn_mp_mod_2d.c */ - -/* Start: bn_mp_mod_d.c */ -#include -#ifdef BN_MP_MOD_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -int -mp_mod_d (mp_int * a, mp_digit b, mp_digit * c) -{ - return mp_div_d(a, b, NULL, c); -} -#endif - -/* End: bn_mp_mod_d.c */ - -/* Start: bn_mp_montgomery_calc_normalization.c */ -#include -#ifdef BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* - * shifts with subtractions when the result is greater than b. - * - * The method is slightly modified to shift B unconditionally upto just under - * the leading bit of b. This saves alot of multiple precision shifting. - */ -int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) -{ - int x, bits, res; - - /* how many bits of last digit does b use */ - bits = mp_count_bits (b) % DIGIT_BIT; - - if (b->used > 1) { - if ((res = mp_2expt (a, (b->used - 1) * DIGIT_BIT + bits - 1)) != MP_OKAY) { - return res; - } - } else { - mp_set(a, 1); - bits = 1; - } - - - /* now compute C = A * B mod b */ - for (x = bits - 1; x < (int)DIGIT_BIT; x++) { - if ((res = mp_mul_2 (a, a)) != MP_OKAY) { - return res; - } - if (mp_cmp_mag (a, b) != MP_LT) { - if ((res = s_mp_sub (a, b, a)) != MP_OKAY) { - return res; - } - } - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_montgomery_calc_normalization.c */ - -/* Start: bn_mp_montgomery_reduce.c */ -#include -#ifdef BN_MP_MONTGOMERY_REDUCE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* computes xR**-1 == x (mod N) via Montgomery Reduction */ -int -mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) -{ - int ix, res, digs; - mp_digit mu; - - /* can the fast reduction [comba] method be used? - * - * Note that unlike in mul you're safely allowed *less* - * than the available columns [255 per default] since carries - * are fixed up in the inner loop. - */ - digs = n->used * 2 + 1; - if ((digs < MP_WARRAY) && - n->used < - (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { - return fast_mp_montgomery_reduce (x, n, rho); - } - - /* grow the input as required */ - if (x->alloc < digs) { - if ((res = mp_grow (x, digs)) != MP_OKAY) { - return res; - } - } - x->used = digs; - - for (ix = 0; ix < n->used; ix++) { - /* mu = ai * rho mod b - * - * The value of rho must be precalculated via - * montgomery_setup() such that - * it equals -1/n0 mod b this allows the - * following inner loop to reduce the - * input one digit at a time - */ - mu = (mp_digit) (((mp_word)x->dp[ix]) * ((mp_word)rho) & MP_MASK); - - /* a = a + mu * m * b**i */ - { - register int iy; - register mp_digit *tmpn, *tmpx, u; - register mp_word r; - - /* alias for digits of the modulus */ - tmpn = n->dp; - - /* alias for the digits of x [the input] */ - tmpx = x->dp + ix; - - /* set the carry to zero */ - u = 0; - - /* Multiply and add in place */ - for (iy = 0; iy < n->used; iy++) { - /* compute product and sum */ - r = ((mp_word)mu) * ((mp_word)*tmpn++) + - ((mp_word) u) + ((mp_word) * tmpx); - - /* get carry */ - u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); - - /* fix digit */ - *tmpx++ = (mp_digit)(r & ((mp_word) MP_MASK)); - } - /* At this point the ix'th digit of x should be zero */ - - - /* propagate carries upwards as required*/ - while (u) { - *tmpx += u; - u = *tmpx >> DIGIT_BIT; - *tmpx++ &= MP_MASK; - } - } - } - - /* at this point the n.used'th least - * significant digits of x are all zero - * which means we can shift x to the - * right by n.used digits and the - * residue is unchanged. - */ - - /* x = x/b**n.used */ - mp_clamp(x); - mp_rshd (x, n->used); - - /* if x >= n then x = x - n */ - if (mp_cmp_mag (x, n) != MP_LT) { - return s_mp_sub (x, n, x); - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_montgomery_reduce.c */ - -/* Start: bn_mp_montgomery_setup.c */ -#include -#ifdef BN_MP_MONTGOMERY_SETUP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* setups the montgomery reduction stuff */ -int -mp_montgomery_setup (mp_int * n, mp_digit * rho) -{ - mp_digit x, b; - -/* fast inversion mod 2**k - * - * Based on the fact that - * - * XA = 1 (mod 2**n) => (X(2-XA)) A = 1 (mod 2**2n) - * => 2*X*A - X*X*A*A = 1 - * => 2*(1) - (1) = 1 - */ - b = n->dp[0]; - - if ((b & 1) == 0) { - return MP_VAL; - } - - x = (((b + 2) & 4) << 1) + b; /* here x*a==1 mod 2**4 */ - x *= 2 - b * x; /* here x*a==1 mod 2**8 */ -#if !defined(MP_8BIT) - x *= 2 - b * x; /* here x*a==1 mod 2**16 */ -#endif -#if defined(MP_64BIT) || !(defined(MP_8BIT) || defined(MP_16BIT)) - x *= 2 - b * x; /* here x*a==1 mod 2**32 */ -#endif -#ifdef MP_64BIT - x *= 2 - b * x; /* here x*a==1 mod 2**64 */ -#endif - - /* rho = -1/m mod b */ - *rho = (unsigned long)(((mp_word)1 << ((mp_word) DIGIT_BIT)) - x) & MP_MASK; - - return MP_OKAY; -} -#endif - -/* End: bn_mp_montgomery_setup.c */ - -/* Start: bn_mp_mul.c */ -#include -#ifdef BN_MP_MUL_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* high level multiplication (handles sign) */ -int mp_mul (mp_int * a, mp_int * b, mp_int * c) -{ - int res, neg; - neg = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; - - /* use Toom-Cook? */ -#ifdef BN_MP_TOOM_MUL_C - if (MIN (a->used, b->used) >= TOOM_MUL_CUTOFF) { - res = mp_toom_mul(a, b, c); - } else -#endif -#ifdef BN_MP_KARATSUBA_MUL_C - /* use Karatsuba? */ - if (MIN (a->used, b->used) >= KARATSUBA_MUL_CUTOFF) { - res = mp_karatsuba_mul (a, b, c); - } else -#endif - { - /* can we use the fast multiplier? - * - * The fast multiplier can be used if the output will - * have less than MP_WARRAY digits and the number of - * digits won't affect carry propagation - */ - int digs = a->used + b->used + 1; - -#ifdef BN_FAST_S_MP_MUL_DIGS_C - if ((digs < MP_WARRAY) && - MIN(a->used, b->used) <= - (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { - res = fast_s_mp_mul_digs (a, b, c, digs); - } else -#endif -#ifdef BN_S_MP_MUL_DIGS_C - res = s_mp_mul (a, b, c); /* uses s_mp_mul_digs */ -#else - res = MP_VAL; -#endif - - } - c->sign = (c->used > 0) ? neg : MP_ZPOS; - return res; -} -#endif - -/* End: bn_mp_mul.c */ - -/* Start: bn_mp_mul_2.c */ -#include -#ifdef BN_MP_MUL_2_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* b = a*2 */ -int mp_mul_2(mp_int * a, mp_int * b) -{ - int x, res, oldused; - - /* grow to accomodate result */ - if (b->alloc < a->used + 1) { - if ((res = mp_grow (b, a->used + 1)) != MP_OKAY) { - return res; - } - } - - oldused = b->used; - b->used = a->used; - - { - register mp_digit r, rr, *tmpa, *tmpb; - - /* alias for source */ - tmpa = a->dp; - - /* alias for dest */ - tmpb = b->dp; - - /* carry */ - r = 0; - for (x = 0; x < a->used; x++) { - - /* get what will be the *next* carry bit from the - * MSB of the current digit - */ - rr = *tmpa >> ((mp_digit)(DIGIT_BIT - 1)); - - /* now shift up this digit, add in the carry [from the previous] */ - *tmpb++ = ((*tmpa++ << ((mp_digit)1)) | r) & MP_MASK; - - /* copy the carry that would be from the source - * digit into the next iteration - */ - r = rr; - } - - /* new leading digit? */ - if (r != 0) { - /* add a MSB which is always 1 at this point */ - *tmpb = 1; - ++(b->used); - } - - /* now zero any excess digits on the destination - * that we didn't write to - */ - tmpb = b->dp + b->used; - for (x = b->used; x < oldused; x++) { - *tmpb++ = 0; - } - } - b->sign = a->sign; - return MP_OKAY; -} -#endif - -/* End: bn_mp_mul_2.c */ - -/* Start: bn_mp_mul_2d.c */ -#include -#ifdef BN_MP_MUL_2D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* shift left by a certain bit count */ -int mp_mul_2d (mp_int * a, int b, mp_int * c) -{ - mp_digit d; - int res; - - /* copy */ - if (a != c) { - if ((res = mp_copy (a, c)) != MP_OKAY) { - return res; - } - } - - if (c->alloc < (int)(c->used + b/DIGIT_BIT + 1)) { - if ((res = mp_grow (c, c->used + b / DIGIT_BIT + 1)) != MP_OKAY) { - return res; - } - } - - /* shift by as many digits in the bit count */ - if (b >= (int)DIGIT_BIT) { - if ((res = mp_lshd (c, b / DIGIT_BIT)) != MP_OKAY) { - return res; - } - } - - /* shift any bit count < DIGIT_BIT */ - d = (mp_digit) (b % DIGIT_BIT); - if (d != 0) { - register mp_digit *tmpc, shift, mask, r, rr; - register int x; - - /* bitmask for carries */ - mask = (((mp_digit)1) << d) - 1; - - /* shift for msbs */ - shift = DIGIT_BIT - d; - - /* alias */ - tmpc = c->dp; - - /* carry */ - r = 0; - for (x = 0; x < c->used; x++) { - /* get the higher bits of the current word */ - rr = (*tmpc >> shift) & mask; - - /* shift the current word and OR in the carry */ - *tmpc = ((*tmpc << d) | r) & MP_MASK; - ++tmpc; - - /* set the carry to the carry bits of the current word */ - r = rr; - } - - /* set final carry */ - if (r != 0) { - c->dp[(c->used)++] = r; - } - } - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* End: bn_mp_mul_2d.c */ - -/* Start: bn_mp_mul_d.c */ -#include -#ifdef BN_MP_MUL_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* multiply by a digit */ -int -mp_mul_d (mp_int * a, mp_digit b, mp_int * c) -{ - mp_digit u, *tmpa, *tmpc; - mp_word r; - int ix, res, olduse; - - /* make sure c is big enough to hold a*b */ - if (c->alloc < a->used + 1) { - if ((res = mp_grow (c, a->used + 1)) != MP_OKAY) { - return res; - } - } - - /* get the original destinations used count */ - olduse = c->used; - - /* set the sign */ - c->sign = a->sign; - - /* alias for a->dp [source] */ - tmpa = a->dp; - - /* alias for c->dp [dest] */ - tmpc = c->dp; - - /* zero carry */ - u = 0; - - /* compute columns */ - for (ix = 0; ix < a->used; ix++) { - /* compute product and carry sum for this term */ - r = ((mp_word) u) + ((mp_word)*tmpa++) * ((mp_word)b); - - /* mask off higher bits to get a single digit */ - *tmpc++ = (mp_digit) (r & ((mp_word) MP_MASK)); - - /* send carry into next iteration */ - u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); - } - - /* store final carry [if any] and increment ix offset */ - *tmpc++ = u; - ++ix; - - /* now zero digits above the top */ - while (ix++ < olduse) { - *tmpc++ = 0; - } - - /* set used count */ - c->used = a->used + 1; - mp_clamp(c); - - return MP_OKAY; -} -#endif - -/* End: bn_mp_mul_d.c */ - -/* Start: bn_mp_mulmod.c */ -#include -#ifdef BN_MP_MULMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* d = a * b (mod c) */ -int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) -{ - int res; - mp_int t; - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - if ((res = mp_mul (a, b, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - res = mp_mod (&t, c, d); - mp_clear (&t); - return res; -} -#endif - -/* End: bn_mp_mulmod.c */ - -/* Start: bn_mp_n_root.c */ -#include -#ifdef BN_MP_N_ROOT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* find the n'th root of an integer - * - * Result found such that (c)**b <= a and (c+1)**b > a - * - * This algorithm uses Newton's approximation - * x[i+1] = x[i] - f(x[i])/f'(x[i]) - * which will find the root in log(N) time where - * each step involves a fair bit. This is not meant to - * find huge roots [square and cube, etc]. - */ -int mp_n_root (mp_int * a, mp_digit b, mp_int * c) -{ - mp_int t1, t2, t3; - int res, neg; - - /* input must be positive if b is even */ - if ((b & 1) == 0 && a->sign == MP_NEG) { - return MP_VAL; - } - - if ((res = mp_init (&t1)) != MP_OKAY) { - return res; - } - - if ((res = mp_init (&t2)) != MP_OKAY) { - goto LBL_T1; - } - - if ((res = mp_init (&t3)) != MP_OKAY) { - goto LBL_T2; - } - - /* if a is negative fudge the sign but keep track */ - neg = a->sign; - a->sign = MP_ZPOS; - - /* t2 = 2 */ - mp_set (&t2, 2); - - do { - /* t1 = t2 */ - if ((res = mp_copy (&t2, &t1)) != MP_OKAY) { - goto LBL_T3; - } - - /* t2 = t1 - ((t1**b - a) / (b * t1**(b-1))) */ - - /* t3 = t1**(b-1) */ - if ((res = mp_expt_d (&t1, b - 1, &t3)) != MP_OKAY) { - goto LBL_T3; - } - - /* numerator */ - /* t2 = t1**b */ - if ((res = mp_mul (&t3, &t1, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - /* t2 = t1**b - a */ - if ((res = mp_sub (&t2, a, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - /* denominator */ - /* t3 = t1**(b-1) * b */ - if ((res = mp_mul_d (&t3, b, &t3)) != MP_OKAY) { - goto LBL_T3; - } - - /* t3 = (t1**b - a)/(b * t1**(b-1)) */ - if ((res = mp_div (&t2, &t3, &t3, NULL)) != MP_OKAY) { - goto LBL_T3; - } - - if ((res = mp_sub (&t1, &t3, &t2)) != MP_OKAY) { - goto LBL_T3; - } - } while (mp_cmp (&t1, &t2) != MP_EQ); - - /* result can be off by a few so check */ - for (;;) { - if ((res = mp_expt_d (&t1, b, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - if (mp_cmp (&t2, a) == MP_GT) { - if ((res = mp_sub_d (&t1, 1, &t1)) != MP_OKAY) { - goto LBL_T3; - } - } else { - break; - } - } - - /* reset the sign of a first */ - a->sign = neg; - - /* set the result */ - mp_exch (&t1, c); - - /* set the sign of the result */ - c->sign = neg; - - res = MP_OKAY; - -LBL_T3:mp_clear (&t3); -LBL_T2:mp_clear (&t2); -LBL_T1:mp_clear (&t1); - return res; -} -#endif - -/* End: bn_mp_n_root.c */ - -/* Start: bn_mp_neg.c */ -#include -#ifdef BN_MP_NEG_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* b = -a */ -int mp_neg (mp_int * a, mp_int * b) -{ - int res; - if (a != b) { - if ((res = mp_copy (a, b)) != MP_OKAY) { - return res; - } - } - - if (mp_iszero(b) != MP_YES) { - b->sign = (a->sign == MP_ZPOS) ? MP_NEG : MP_ZPOS; - } else { - b->sign = MP_ZPOS; - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_neg.c */ - -/* Start: bn_mp_or.c */ -#include -#ifdef BN_MP_OR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* OR two ints together */ -int mp_or (mp_int * a, mp_int * b, mp_int * c) -{ - int res, ix, px; - mp_int t, *x; - - if (a->used > b->used) { - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - px = b->used; - x = b; - } else { - if ((res = mp_init_copy (&t, b)) != MP_OKAY) { - return res; - } - px = a->used; - x = a; - } - - for (ix = 0; ix < px; ix++) { - t.dp[ix] |= x->dp[ix]; - } - mp_clamp (&t); - mp_exch (c, &t); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_mp_or.c */ - -/* Start: bn_mp_prime_fermat.c */ -#include -#ifdef BN_MP_PRIME_FERMAT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* performs one Fermat test. - * - * If "a" were prime then b**a == b (mod a) since the order of - * the multiplicative sub-group would be phi(a) = a-1. That means - * it would be the same as b**(a mod (a-1)) == b**1 == b (mod a). - * - * Sets result to 1 if the congruence holds, or zero otherwise. - */ -int mp_prime_fermat (mp_int * a, mp_int * b, int *result) -{ - mp_int t; - int err; - - /* default to composite */ - *result = MP_NO; - - /* ensure b > 1 */ - if (mp_cmp_d(b, 1) != MP_GT) { - return MP_VAL; - } - - /* init t */ - if ((err = mp_init (&t)) != MP_OKAY) { - return err; - } - - /* compute t = b**a mod a */ - if ((err = mp_exptmod (b, a, a, &t)) != MP_OKAY) { - goto LBL_T; - } - - /* is it equal to b? */ - if (mp_cmp (&t, b) == MP_EQ) { - *result = MP_YES; - } - - err = MP_OKAY; -LBL_T:mp_clear (&t); - return err; -} -#endif - -/* End: bn_mp_prime_fermat.c */ - -/* Start: bn_mp_prime_is_divisible.c */ -#include -#ifdef BN_MP_PRIME_IS_DIVISIBLE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* determines if an integers is divisible by one - * of the first PRIME_SIZE primes or not - * - * sets result to 0 if not, 1 if yes - */ -int mp_prime_is_divisible (mp_int * a, int *result) -{ - int err, ix; - mp_digit res; - - /* default to not */ - *result = MP_NO; - - for (ix = 0; ix < PRIME_SIZE; ix++) { - /* what is a mod LBL_prime_tab[ix] */ - if ((err = mp_mod_d (a, ltm_prime_tab[ix], &res)) != MP_OKAY) { - return err; - } - - /* is the residue zero? */ - if (res == 0) { - *result = MP_YES; - return MP_OKAY; - } - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_prime_is_divisible.c */ - -/* Start: bn_mp_prime_is_prime.c */ -#include -#ifdef BN_MP_PRIME_IS_PRIME_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* performs a variable number of rounds of Miller-Rabin - * - * Probability of error after t rounds is no more than - - * - * Sets result to 1 if probably prime, 0 otherwise - */ -int mp_prime_is_prime (mp_int * a, int t, int *result) -{ - mp_int b; - int ix, err, res; - - /* default to no */ - *result = MP_NO; - - /* valid value of t? */ - if (t <= 0 || t > PRIME_SIZE) { - return MP_VAL; - } - - /* is the input equal to one of the primes in the table? */ - for (ix = 0; ix < PRIME_SIZE; ix++) { - if (mp_cmp_d(a, ltm_prime_tab[ix]) == MP_EQ) { - *result = 1; - return MP_OKAY; - } - } - - /* first perform trial division */ - if ((err = mp_prime_is_divisible (a, &res)) != MP_OKAY) { - return err; - } - - /* return if it was trivially divisible */ - if (res == MP_YES) { - return MP_OKAY; - } - - /* now perform the miller-rabin rounds */ - if ((err = mp_init (&b)) != MP_OKAY) { - return err; - } - - for (ix = 0; ix < t; ix++) { - /* set the prime */ - mp_set (&b, ltm_prime_tab[ix]); - - if ((err = mp_prime_miller_rabin (a, &b, &res)) != MP_OKAY) { - goto LBL_B; - } - - if (res == MP_NO) { - goto LBL_B; - } - } - - /* passed the test */ - *result = MP_YES; -LBL_B:mp_clear (&b); - return err; -} -#endif - -/* End: bn_mp_prime_is_prime.c */ - -/* Start: bn_mp_prime_miller_rabin.c */ -#include -#ifdef BN_MP_PRIME_MILLER_RABIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* Miller-Rabin test of "a" to the base of "b" as described in - * HAC pp. 139 Algorithm 4.24 - * - * Sets result to 0 if definitely composite or 1 if probably prime. - * Randomly the chance of error is no more than 1/4 and often - * very much lower. - */ -int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result) -{ - mp_int n1, y, r; - int s, j, err; - - /* default */ - *result = MP_NO; - - /* ensure b > 1 */ - if (mp_cmp_d(b, 1) != MP_GT) { - return MP_VAL; - } - - /* get n1 = a - 1 */ - if ((err = mp_init_copy (&n1, a)) != MP_OKAY) { - return err; - } - if ((err = mp_sub_d (&n1, 1, &n1)) != MP_OKAY) { - goto LBL_N1; - } - - /* set 2**s * r = n1 */ - if ((err = mp_init_copy (&r, &n1)) != MP_OKAY) { - goto LBL_N1; - } - - /* count the number of least significant bits - * which are zero - */ - s = mp_cnt_lsb(&r); - - /* now divide n - 1 by 2**s */ - if ((err = mp_div_2d (&r, s, &r, NULL)) != MP_OKAY) { - goto LBL_R; - } - - /* compute y = b**r mod a */ - if ((err = mp_init (&y)) != MP_OKAY) { - goto LBL_R; - } - if ((err = mp_exptmod (b, &r, a, &y)) != MP_OKAY) { - goto LBL_Y; - } - - /* if y != 1 and y != n1 do */ - if (mp_cmp_d (&y, 1) != MP_EQ && mp_cmp (&y, &n1) != MP_EQ) { - j = 1; - /* while j <= s-1 and y != n1 */ - while ((j <= (s - 1)) && mp_cmp (&y, &n1) != MP_EQ) { - if ((err = mp_sqrmod (&y, a, &y)) != MP_OKAY) { - goto LBL_Y; - } - - /* if y == 1 then composite */ - if (mp_cmp_d (&y, 1) == MP_EQ) { - goto LBL_Y; - } - - ++j; - } - - /* if y != n1 then composite */ - if (mp_cmp (&y, &n1) != MP_EQ) { - goto LBL_Y; - } - } - - /* probably prime now */ - *result = MP_YES; -LBL_Y:mp_clear (&y); -LBL_R:mp_clear (&r); -LBL_N1:mp_clear (&n1); - return err; -} -#endif - -/* End: bn_mp_prime_miller_rabin.c */ - -/* Start: bn_mp_prime_next_prime.c */ -#include -#ifdef BN_MP_PRIME_NEXT_PRIME_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* finds the next prime after the number "a" using "t" trials - * of Miller-Rabin. - * - * bbs_style = 1 means the prime must be congruent to 3 mod 4 - */ -int mp_prime_next_prime(mp_int *a, int t, int bbs_style) -{ - int err, res, x, y; - mp_digit res_tab[PRIME_SIZE], step, kstep; - mp_int b; - - /* ensure t is valid */ - if (t <= 0 || t > PRIME_SIZE) { - return MP_VAL; - } - - /* force positive */ - a->sign = MP_ZPOS; - - /* simple algo if a is less than the largest prime in the table */ - if (mp_cmp_d(a, ltm_prime_tab[PRIME_SIZE-1]) == MP_LT) { - /* find which prime it is bigger than */ - for (x = PRIME_SIZE - 2; x >= 0; x--) { - if (mp_cmp_d(a, ltm_prime_tab[x]) != MP_LT) { - if (bbs_style == 1) { - /* ok we found a prime smaller or - * equal [so the next is larger] - * - * however, the prime must be - * congruent to 3 mod 4 - */ - if ((ltm_prime_tab[x + 1] & 3) != 3) { - /* scan upwards for a prime congruent to 3 mod 4 */ - for (y = x + 1; y < PRIME_SIZE; y++) { - if ((ltm_prime_tab[y] & 3) == 3) { - mp_set(a, ltm_prime_tab[y]); - return MP_OKAY; - } - } - } - } else { - mp_set(a, ltm_prime_tab[x + 1]); - return MP_OKAY; - } - } - } - /* at this point a maybe 1 */ - if (mp_cmp_d(a, 1) == MP_EQ) { - mp_set(a, 2); - return MP_OKAY; - } - /* fall through to the sieve */ - } - - /* generate a prime congruent to 3 mod 4 or 1/3 mod 4? */ - if (bbs_style == 1) { - kstep = 4; - } else { - kstep = 2; - } - - /* at this point we will use a combination of a sieve and Miller-Rabin */ - - if (bbs_style == 1) { - /* if a mod 4 != 3 subtract the correct value to make it so */ - if ((a->dp[0] & 3) != 3) { - if ((err = mp_sub_d(a, (a->dp[0] & 3) + 1, a)) != MP_OKAY) { return err; }; - } - } else { - if (mp_iseven(a) == 1) { - /* force odd */ - if ((err = mp_sub_d(a, 1, a)) != MP_OKAY) { - return err; - } - } - } - - /* generate the restable */ - for (x = 1; x < PRIME_SIZE; x++) { - if ((err = mp_mod_d(a, ltm_prime_tab[x], res_tab + x)) != MP_OKAY) { - return err; - } - } - - /* init temp used for Miller-Rabin Testing */ - if ((err = mp_init(&b)) != MP_OKAY) { - return err; - } - - for (;;) { - /* skip to the next non-trivially divisible candidate */ - step = 0; - do { - /* y == 1 if any residue was zero [e.g. cannot be prime] */ - y = 0; - - /* increase step to next candidate */ - step += kstep; - - /* compute the new residue without using division */ - for (x = 1; x < PRIME_SIZE; x++) { - /* add the step to each residue */ - res_tab[x] += kstep; - - /* subtract the modulus [instead of using division] */ - if (res_tab[x] >= ltm_prime_tab[x]) { - res_tab[x] -= ltm_prime_tab[x]; - } - - /* set flag if zero */ - if (res_tab[x] == 0) { - y = 1; - } - } - } while (y == 1 && step < ((((mp_digit)1)<= ((((mp_digit)1)< -#ifdef BN_MP_PRIME_RABIN_MILLER_TRIALS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - - -static const struct { - int k, t; -} sizes[] = { -{ 128, 28 }, -{ 256, 16 }, -{ 384, 10 }, -{ 512, 7 }, -{ 640, 6 }, -{ 768, 5 }, -{ 896, 4 }, -{ 1024, 4 } -}; - -/* returns # of RM trials required for a given bit size */ -int mp_prime_rabin_miller_trials(int size) -{ - int x; - - for (x = 0; x < (int)(sizeof(sizes)/(sizeof(sizes[0]))); x++) { - if (sizes[x].k == size) { - return sizes[x].t; - } else if (sizes[x].k > size) { - return (x == 0) ? sizes[0].t : sizes[x - 1].t; - } - } - return sizes[x-1].t + 1; -} - - -#endif - -/* End: bn_mp_prime_rabin_miller_trials.c */ - -/* Start: bn_mp_prime_random_ex.c */ -#include -#ifdef BN_MP_PRIME_RANDOM_EX_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* makes a truly random prime of a given size (bits), - * - * Flags are as follows: - * - * LTM_PRIME_BBS - make prime congruent to 3 mod 4 - * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS) - * LTM_PRIME_2MSB_OFF - make the 2nd highest bit zero - * LTM_PRIME_2MSB_ON - make the 2nd highest bit one - * - * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can - * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself - * so it can be NULL - * - */ - -/* This is possibly the mother of all prime generation functions, muahahahahaha! */ -int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback cb, void *dat) -{ - unsigned char *tmp, maskAND, maskOR_msb, maskOR_lsb; - int res, err, bsize, maskOR_msb_offset; - - /* sanity check the input */ - if (size <= 1 || t <= 0) { - return MP_VAL; - } - - /* LTM_PRIME_SAFE implies LTM_PRIME_BBS */ - if (flags & LTM_PRIME_SAFE) { - flags |= LTM_PRIME_BBS; - } - - /* calc the byte size */ - bsize = (size>>3) + ((size&7)?1:0); - - /* we need a buffer of bsize bytes */ - tmp = OPT_CAST(unsigned char) XMALLOC(bsize); - if (tmp == NULL) { - return MP_MEM; - } - - /* calc the maskAND value for the MSbyte*/ - maskAND = ((size&7) == 0) ? 0xFF : (0xFF >> (8 - (size & 7))); - - /* calc the maskOR_msb */ - maskOR_msb = 0; - maskOR_msb_offset = ((size & 7) == 1) ? 1 : 0; - if (flags & LTM_PRIME_2MSB_ON) { - maskOR_msb |= 0x80 >> ((9 - size) & 7); - } - - /* get the maskOR_lsb */ - maskOR_lsb = 1; - if (flags & LTM_PRIME_BBS) { - maskOR_lsb |= 3; - } - - do { - /* read the bytes */ - if (cb(tmp, bsize, dat) != bsize) { - err = MP_VAL; - goto error; - } - - /* work over the MSbyte */ - tmp[0] &= maskAND; - tmp[0] |= 1 << ((size - 1) & 7); - - /* mix in the maskORs */ - tmp[maskOR_msb_offset] |= maskOR_msb; - tmp[bsize-1] |= maskOR_lsb; - - /* read it in */ - if ((err = mp_read_unsigned_bin(a, tmp, bsize)) != MP_OKAY) { goto error; } - - /* is it prime? */ - if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { goto error; } - if (res == MP_NO) { - continue; - } - - if (flags & LTM_PRIME_SAFE) { - /* see if (a-1)/2 is prime */ - if ((err = mp_sub_d(a, 1, a)) != MP_OKAY) { goto error; } - if ((err = mp_div_2(a, a)) != MP_OKAY) { goto error; } - - /* is it prime? */ - if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { goto error; } - } - } while (res == MP_NO); - - if (flags & LTM_PRIME_SAFE) { - /* restore a to the original value */ - if ((err = mp_mul_2(a, a)) != MP_OKAY) { goto error; } - if ((err = mp_add_d(a, 1, a)) != MP_OKAY) { goto error; } - } - - err = MP_OKAY; -error: - XFREE(tmp); - return err; -} - - -#endif - -/* End: bn_mp_prime_random_ex.c */ - -/* Start: bn_mp_radix_size.c */ -#include -#ifdef BN_MP_RADIX_SIZE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* returns size of ASCII reprensentation */ -int mp_radix_size (mp_int * a, int radix, int *size) -{ - int res, digs; - mp_int t; - mp_digit d; - - *size = 0; - - /* special case for binary */ - if (radix == 2) { - *size = mp_count_bits (a) + (a->sign == MP_NEG ? 1 : 0) + 1; - return MP_OKAY; - } - - /* make sure the radix is in range */ - if (radix < 2 || radix > 64) { - return MP_VAL; - } - - if (mp_iszero(a) == MP_YES) { - *size = 2; - return MP_OKAY; - } - - /* digs is the digit count */ - digs = 0; - - /* if it's negative add one for the sign */ - if (a->sign == MP_NEG) { - ++digs; - } - - /* init a copy of the input */ - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - - /* force temp to positive */ - t.sign = MP_ZPOS; - - /* fetch out all of the digits */ - while (mp_iszero (&t) == MP_NO) { - if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) { - mp_clear (&t); - return res; - } - ++digs; - } - mp_clear (&t); - - /* return digs + 1, the 1 is for the NULL byte that would be required. */ - *size = digs + 1; - return MP_OKAY; -} - -#endif - -/* End: bn_mp_radix_size.c */ - -/* Start: bn_mp_radix_smap.c */ -#include -#ifdef BN_MP_RADIX_SMAP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* chars used in radix conversions */ -const char *mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"; -#endif - -/* End: bn_mp_radix_smap.c */ - -/* Start: bn_mp_rand.c */ -#include -#ifdef BN_MP_RAND_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* makes a pseudo-random int of a given size */ -int -mp_rand (mp_int * a, int digits) -{ - int res; - mp_digit d; - - mp_zero (a); - if (digits <= 0) { - return MP_OKAY; - } - - /* first place a random non-zero digit */ - do { - d = ((mp_digit) abs (rand ())) & MP_MASK; - } while (d == 0); - - if ((res = mp_add_d (a, d, a)) != MP_OKAY) { - return res; - } - - while (--digits > 0) { - if ((res = mp_lshd (a, 1)) != MP_OKAY) { - return res; - } - - if ((res = mp_add_d (a, ((mp_digit) abs (rand ())), a)) != MP_OKAY) { - return res; - } - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_rand.c */ - -/* Start: bn_mp_read_radix.c */ -#include -#ifdef BN_MP_READ_RADIX_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* read a string [ASCII] in a given radix */ -int mp_read_radix (mp_int * a, const char *str, int radix) -{ - int y, res, neg; - char ch; - - /* zero the digit bignum */ - mp_zero(a); - - /* make sure the radix is ok */ - if (radix < 2 || radix > 64) { - return MP_VAL; - } - - /* if the leading digit is a - * minus set the sign to negative. - */ - if (*str == '-') { - ++str; - neg = MP_NEG; - } else { - neg = MP_ZPOS; - } - - /* set the integer to the default of zero */ - mp_zero (a); - - /* process each digit of the string */ - while (*str) { - /* if the radix < 36 the conversion is case insensitive - * this allows numbers like 1AB and 1ab to represent the same value - * [e.g. in hex] - */ - ch = (char) ((radix < 36) ? toupper (*str) : *str); - for (y = 0; y < 64; y++) { - if (ch == mp_s_rmap[y]) { - break; - } - } - - /* if the char was found in the map - * and is less than the given radix add it - * to the number, otherwise exit the loop. - */ - if (y < radix) { - if ((res = mp_mul_d (a, (mp_digit) radix, a)) != MP_OKAY) { - return res; - } - if ((res = mp_add_d (a, (mp_digit) y, a)) != MP_OKAY) { - return res; - } - } else { - break; - } - ++str; - } - - /* set the sign only if a != 0 */ - if (mp_iszero(a) != 1) { - a->sign = neg; - } - return MP_OKAY; -} -#endif - -/* End: bn_mp_read_radix.c */ - -/* Start: bn_mp_read_signed_bin.c */ -#include -#ifdef BN_MP_READ_SIGNED_BIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* read signed bin, big endian, first byte is 0==positive or 1==negative */ -int mp_read_signed_bin (mp_int * a, const unsigned char *b, int c) -{ - int res; - - /* read magnitude */ - if ((res = mp_read_unsigned_bin (a, b + 1, c - 1)) != MP_OKAY) { - return res; - } - - /* first byte is 0 for positive, non-zero for negative */ - if (b[0] == 0) { - a->sign = MP_ZPOS; - } else { - a->sign = MP_NEG; - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_read_signed_bin.c */ - -/* Start: bn_mp_read_unsigned_bin.c */ -#include -#ifdef BN_MP_READ_UNSIGNED_BIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* reads a unsigned char array, assumes the msb is stored first [big endian] */ -int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) -{ - int res; - - /* make sure there are at least two digits */ - if (a->alloc < 2) { - if ((res = mp_grow(a, 2)) != MP_OKAY) { - return res; - } - } - - /* zero the int */ - mp_zero (a); - - /* read the bytes in */ - while (c-- > 0) { - if ((res = mp_mul_2d (a, 8, a)) != MP_OKAY) { - return res; - } - -#ifndef MP_8BIT - a->dp[0] |= *b++; - a->used += 1; -#else - a->dp[0] = (*b & MP_MASK); - a->dp[1] |= ((*b++ >> 7U) & 1); - a->used += 2; -#endif - } - mp_clamp (a); - return MP_OKAY; -} -#endif - -/* End: bn_mp_read_unsigned_bin.c */ - -/* Start: bn_mp_reduce.c */ -#include -#ifdef BN_MP_REDUCE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* reduces x mod m, assumes 0 < x < m**2, mu is - * precomputed via mp_reduce_setup. - * From HAC pp.604 Algorithm 14.42 - */ -int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) -{ - mp_int q; - int res, um = m->used; - - /* q = x */ - if ((res = mp_init_copy (&q, x)) != MP_OKAY) { - return res; - } - - /* q1 = x / b**(k-1) */ - mp_rshd (&q, um - 1); - - /* according to HAC this optimization is ok */ - if (((unsigned long) um) > (((mp_digit)1) << (DIGIT_BIT - 1))) { - if ((res = mp_mul (&q, mu, &q)) != MP_OKAY) { - goto CLEANUP; - } - } else { -#ifdef BN_S_MP_MUL_HIGH_DIGS_C - if ((res = s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) { - goto CLEANUP; - } -#elif defined(BN_FAST_S_MP_MUL_HIGH_DIGS_C) - if ((res = fast_s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) { - goto CLEANUP; - } -#else - { - res = MP_VAL; - goto CLEANUP; - } -#endif - } - - /* q3 = q2 / b**(k+1) */ - mp_rshd (&q, um + 1); - - /* x = x mod b**(k+1), quick (no division) */ - if ((res = mp_mod_2d (x, DIGIT_BIT * (um + 1), x)) != MP_OKAY) { - goto CLEANUP; - } - - /* q = q * m mod b**(k+1), quick (no division) */ - if ((res = s_mp_mul_digs (&q, m, &q, um + 1)) != MP_OKAY) { - goto CLEANUP; - } - - /* x = x - q */ - if ((res = mp_sub (x, &q, x)) != MP_OKAY) { - goto CLEANUP; - } - - /* If x < 0, add b**(k+1) to it */ - if (mp_cmp_d (x, 0) == MP_LT) { - mp_set (&q, 1); - if ((res = mp_lshd (&q, um + 1)) != MP_OKAY) - goto CLEANUP; - if ((res = mp_add (x, &q, x)) != MP_OKAY) - goto CLEANUP; - } - - /* Back off if it's too big */ - while (mp_cmp (x, m) != MP_LT) { - if ((res = s_mp_sub (x, m, x)) != MP_OKAY) { - goto CLEANUP; - } - } - -CLEANUP: - mp_clear (&q); - - return res; -} -#endif - -/* End: bn_mp_reduce.c */ - -/* Start: bn_mp_reduce_2k.c */ -#include -#ifdef BN_MP_REDUCE_2K_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* reduces a modulo n where n is of the form 2**p - d */ -int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d) -{ - mp_int q; - int p, res; - - if ((res = mp_init(&q)) != MP_OKAY) { - return res; - } - - p = mp_count_bits(n); -top: - /* q = a/2**p, a = a mod 2**p */ - if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { - goto ERR; - } - - if (d != 1) { - /* q = q * d */ - if ((res = mp_mul_d(&q, d, &q)) != MP_OKAY) { - goto ERR; - } - } - - /* a = a + q */ - if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { - goto ERR; - } - - if (mp_cmp_mag(a, n) != MP_LT) { - s_mp_sub(a, n, a); - goto top; - } - -ERR: - mp_clear(&q); - return res; -} - -#endif - -/* End: bn_mp_reduce_2k.c */ - -/* Start: bn_mp_reduce_2k_l.c */ -#include -#ifdef BN_MP_REDUCE_2K_L_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* reduces a modulo n where n is of the form 2**p - d - This differs from reduce_2k since "d" can be larger - than a single digit. -*/ -int mp_reduce_2k_l(mp_int *a, mp_int *n, mp_int *d) -{ - mp_int q; - int p, res; - - if ((res = mp_init(&q)) != MP_OKAY) { - return res; - } - - p = mp_count_bits(n); -top: - /* q = a/2**p, a = a mod 2**p */ - if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { - goto ERR; - } - - /* q = q * d */ - if ((res = mp_mul(&q, d, &q)) != MP_OKAY) { - goto ERR; - } - - /* a = a + q */ - if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { - goto ERR; - } - - if (mp_cmp_mag(a, n) != MP_LT) { - s_mp_sub(a, n, a); - goto top; - } - -ERR: - mp_clear(&q); - return res; -} - -#endif - -/* End: bn_mp_reduce_2k_l.c */ - -/* Start: bn_mp_reduce_2k_setup.c */ -#include -#ifdef BN_MP_REDUCE_2K_SETUP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* determines the setup value */ -int mp_reduce_2k_setup(mp_int *a, mp_digit *d) -{ - int res, p; - mp_int tmp; - - if ((res = mp_init(&tmp)) != MP_OKAY) { - return res; - } - - p = mp_count_bits(a); - if ((res = mp_2expt(&tmp, p)) != MP_OKAY) { - mp_clear(&tmp); - return res; - } - - if ((res = s_mp_sub(&tmp, a, &tmp)) != MP_OKAY) { - mp_clear(&tmp); - return res; - } - - *d = tmp.dp[0]; - mp_clear(&tmp); - return MP_OKAY; -} -#endif - -/* End: bn_mp_reduce_2k_setup.c */ - -/* Start: bn_mp_reduce_2k_setup_l.c */ -#include -#ifdef BN_MP_REDUCE_2K_SETUP_L_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* determines the setup value */ -int mp_reduce_2k_setup_l(mp_int *a, mp_int *d) -{ - int res; - mp_int tmp; - - if ((res = mp_init(&tmp)) != MP_OKAY) { - return res; - } - - if ((res = mp_2expt(&tmp, mp_count_bits(a))) != MP_OKAY) { - goto ERR; - } - - if ((res = s_mp_sub(&tmp, a, d)) != MP_OKAY) { - goto ERR; - } - -ERR: - mp_clear(&tmp); - return res; -} -#endif - -/* End: bn_mp_reduce_2k_setup_l.c */ - -/* Start: bn_mp_reduce_is_2k.c */ -#include -#ifdef BN_MP_REDUCE_IS_2K_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* determines if mp_reduce_2k can be used */ -int mp_reduce_is_2k(mp_int *a) -{ - int ix, iy, iw; - mp_digit iz; - - if (a->used == 0) { - return MP_NO; - } else if (a->used == 1) { - return MP_YES; - } else if (a->used > 1) { - iy = mp_count_bits(a); - iz = 1; - iw = 1; - - /* Test every bit from the second digit up, must be 1 */ - for (ix = DIGIT_BIT; ix < iy; ix++) { - if ((a->dp[iw] & iz) == 0) { - return MP_NO; - } - iz <<= 1; - if (iz > (mp_digit)MP_MASK) { - ++iw; - iz = 1; - } - } - } - return MP_YES; -} - -#endif - -/* End: bn_mp_reduce_is_2k.c */ - -/* Start: bn_mp_reduce_is_2k_l.c */ -#include -#ifdef BN_MP_REDUCE_IS_2K_L_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* determines if reduce_2k_l can be used */ -int mp_reduce_is_2k_l(mp_int *a) -{ - int ix, iy; - - if (a->used == 0) { - return MP_NO; - } else if (a->used == 1) { - return MP_YES; - } else if (a->used > 1) { - /* if more than half of the digits are -1 we're sold */ - for (iy = ix = 0; ix < a->used; ix++) { - if (a->dp[ix] == MP_MASK) { - ++iy; - } - } - return (iy >= (a->used/2)) ? MP_YES : MP_NO; - - } - return MP_NO; -} - -#endif - -/* End: bn_mp_reduce_is_2k_l.c */ - -/* Start: bn_mp_reduce_setup.c */ -#include -#ifdef BN_MP_REDUCE_SETUP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* pre-calculate the value required for Barrett reduction - * For a given modulus "b" it calulates the value required in "a" - */ -int mp_reduce_setup (mp_int * a, mp_int * b) -{ - int res; - - if ((res = mp_2expt (a, b->used * 2 * DIGIT_BIT)) != MP_OKAY) { - return res; - } - return mp_div (a, b, a, NULL); -} -#endif - -/* End: bn_mp_reduce_setup.c */ - -/* Start: bn_mp_rshd.c */ -#include -#ifdef BN_MP_RSHD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* shift right a certain amount of digits */ -void mp_rshd (mp_int * a, int b) -{ - int x; - - /* if b <= 0 then ignore it */ - if (b <= 0) { - return; - } - - /* if b > used then simply zero it and return */ - if (a->used <= b) { - mp_zero (a); - return; - } - - { - register mp_digit *bottom, *top; - - /* shift the digits down */ - - /* bottom */ - bottom = a->dp; - - /* top [offset into digits] */ - top = a->dp + b; - - /* this is implemented as a sliding window where - * the window is b-digits long and digits from - * the top of the window are copied to the bottom - * - * e.g. - - b-2 | b-1 | b0 | b1 | b2 | ... | bb | ----> - /\ | ----> - \-------------------/ ----> - */ - for (x = 0; x < (a->used - b); x++) { - *bottom++ = *top++; - } - - /* zero the top digits */ - for (; x < a->used; x++) { - *bottom++ = 0; - } - } - - /* remove excess digits */ - a->used -= b; -} -#endif - -/* End: bn_mp_rshd.c */ - -/* Start: bn_mp_set.c */ -#include -#ifdef BN_MP_SET_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* set to a digit */ -void mp_set (mp_int * a, mp_digit b) -{ - mp_zero (a); - a->dp[0] = b & MP_MASK; - a->used = (a->dp[0] != 0) ? 1 : 0; -} -#endif - -/* End: bn_mp_set.c */ - -/* Start: bn_mp_set_int.c */ -#include -#ifdef BN_MP_SET_INT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* set a 32-bit const */ -int mp_set_int (mp_int * a, unsigned long b) -{ - int x, res; - - mp_zero (a); - - /* set four bits at a time */ - for (x = 0; x < 8; x++) { - /* shift the number up four bits */ - if ((res = mp_mul_2d (a, 4, a)) != MP_OKAY) { - return res; - } - - /* OR in the top four bits of the source */ - a->dp[0] |= (b >> 28) & 15; - - /* shift the source up to the next four bits */ - b <<= 4; - - /* ensure that digits are not clamped off */ - a->used += 1; - } - mp_clamp (a); - return MP_OKAY; -} -#endif - -/* End: bn_mp_set_int.c */ - -/* Start: bn_mp_shrink.c */ -#include -#ifdef BN_MP_SHRINK_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* shrink a bignum */ -int mp_shrink (mp_int * a) -{ - mp_digit *tmp; - int used = 1; - - if(a->used > 0) - used = a->used; - - if (a->alloc != used) { - if ((tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * used)) == NULL) { - return MP_MEM; - } - a->dp = tmp; - a->alloc = used; - } - return MP_OKAY; -} -#endif - -/* End: bn_mp_shrink.c */ - -/* Start: bn_mp_signed_bin_size.c */ -#include -#ifdef BN_MP_SIGNED_BIN_SIZE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* get the size for an signed equivalent */ -int mp_signed_bin_size (mp_int * a) -{ - return 1 + mp_unsigned_bin_size (a); -} -#endif - -/* End: bn_mp_signed_bin_size.c */ - -/* Start: bn_mp_sqr.c */ -#include -#ifdef BN_MP_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* computes b = a*a */ -int -mp_sqr (mp_int * a, mp_int * b) -{ - int res; - -#ifdef BN_MP_TOOM_SQR_C - /* use Toom-Cook? */ - if (a->used >= TOOM_SQR_CUTOFF) { - res = mp_toom_sqr(a, b); - /* Karatsuba? */ - } else -#endif -#ifdef BN_MP_KARATSUBA_SQR_C -if (a->used >= KARATSUBA_SQR_CUTOFF) { - res = mp_karatsuba_sqr (a, b); - } else -#endif - { -#ifdef BN_FAST_S_MP_SQR_C - /* can we use the fast comba multiplier? */ - if ((a->used * 2 + 1) < MP_WARRAY && - a->used < - (1 << (sizeof(mp_word) * CHAR_BIT - 2*DIGIT_BIT - 1))) { - res = fast_s_mp_sqr (a, b); - } else -#endif -#ifdef BN_S_MP_SQR_C - res = s_mp_sqr (a, b); -#else - res = MP_VAL; -#endif - } - b->sign = MP_ZPOS; - return res; -} -#endif - -/* End: bn_mp_sqr.c */ - -/* Start: bn_mp_sqrmod.c */ -#include -#ifdef BN_MP_SQRMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* c = a * a (mod b) */ -int -mp_sqrmod (mp_int * a, mp_int * b, mp_int * c) -{ - int res; - mp_int t; - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - if ((res = mp_sqr (a, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - res = mp_mod (&t, b, c); - mp_clear (&t); - return res; -} -#endif - -/* End: bn_mp_sqrmod.c */ - -/* Start: bn_mp_sqrt.c */ -#include - -#ifdef BN_MP_SQRT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* this function is less generic than mp_n_root, simpler and faster */ -int mp_sqrt(mp_int *arg, mp_int *ret) -{ - int res; - mp_int t1,t2; - - /* must be positive */ - if (arg->sign == MP_NEG) { - return MP_VAL; - } - - /* easy out */ - if (mp_iszero(arg) == MP_YES) { - mp_zero(ret); - return MP_OKAY; - } - - if ((res = mp_init_copy(&t1, arg)) != MP_OKAY) { - return res; - } - - if ((res = mp_init(&t2)) != MP_OKAY) { - goto E2; - } - - /* First approx. (not very bad for large arg) */ - mp_rshd (&t1,t1.used/2); - - /* t1 > 0 */ - if ((res = mp_div(arg,&t1,&t2,NULL)) != MP_OKAY) { - goto E1; - } - if ((res = mp_add(&t1,&t2,&t1)) != MP_OKAY) { - goto E1; - } - if ((res = mp_div_2(&t1,&t1)) != MP_OKAY) { - goto E1; - } - /* And now t1 > sqrt(arg) */ - do { - if ((res = mp_div(arg,&t1,&t2,NULL)) != MP_OKAY) { - goto E1; - } - if ((res = mp_add(&t1,&t2,&t1)) != MP_OKAY) { - goto E1; - } - if ((res = mp_div_2(&t1,&t1)) != MP_OKAY) { - goto E1; - } - /* t1 >= sqrt(arg) >= t2 at this point */ - } while (mp_cmp_mag(&t1,&t2) == MP_GT); - - mp_exch(&t1,ret); - -E1: mp_clear(&t2); -E2: mp_clear(&t1); - return res; -} - -#endif - -/* End: bn_mp_sqrt.c */ - -/* Start: bn_mp_sub.c */ -#include -#ifdef BN_MP_SUB_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* high level subtraction (handles signs) */ -int -mp_sub (mp_int * a, mp_int * b, mp_int * c) -{ - int sa, sb, res; - - sa = a->sign; - sb = b->sign; - - if (sa != sb) { - /* subtract a negative from a positive, OR */ - /* subtract a positive from a negative. */ - /* In either case, ADD their magnitudes, */ - /* and use the sign of the first number. */ - c->sign = sa; - res = s_mp_add (a, b, c); - } else { - /* subtract a positive from a positive, OR */ - /* subtract a negative from a negative. */ - /* First, take the difference between their */ - /* magnitudes, then... */ - if (mp_cmp_mag (a, b) != MP_LT) { - /* Copy the sign from the first */ - c->sign = sa; - /* The first has a larger or equal magnitude */ - res = s_mp_sub (a, b, c); - } else { - /* The result has the *opposite* sign from */ - /* the first number. */ - c->sign = (sa == MP_ZPOS) ? MP_NEG : MP_ZPOS; - /* The second has a larger magnitude */ - res = s_mp_sub (b, a, c); - } - } - return res; -} - -#endif - -/* End: bn_mp_sub.c */ - -/* Start: bn_mp_sub_d.c */ -#include -#ifdef BN_MP_SUB_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* single digit subtraction */ -int -mp_sub_d (mp_int * a, mp_digit b, mp_int * c) -{ - mp_digit *tmpa, *tmpc, mu; - int res, ix, oldused; - - /* grow c as required */ - if (c->alloc < a->used + 1) { - if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) { - return res; - } - } - - /* if a is negative just do an unsigned - * addition [with fudged signs] - */ - if (a->sign == MP_NEG) { - a->sign = MP_ZPOS; - res = mp_add_d(a, b, c); - a->sign = c->sign = MP_NEG; - - /* clamp */ - mp_clamp(c); - - return res; - } - - /* setup regs */ - oldused = c->used; - tmpa = a->dp; - tmpc = c->dp; - - /* if a <= b simply fix the single digit */ - if ((a->used == 1 && a->dp[0] <= b) || a->used == 0) { - if (a->used == 1) { - *tmpc++ = b - *tmpa; - } else { - *tmpc++ = b; - } - ix = 1; - - /* negative/1digit */ - c->sign = MP_NEG; - c->used = 1; - } else { - /* positive/size */ - c->sign = MP_ZPOS; - c->used = a->used; - - /* subtract first digit */ - *tmpc = *tmpa++ - b; - mu = *tmpc >> (sizeof(mp_digit) * CHAR_BIT - 1); - *tmpc++ &= MP_MASK; - - /* handle rest of the digits */ - for (ix = 1; ix < a->used; ix++) { - *tmpc = *tmpa++ - mu; - mu = *tmpc >> (sizeof(mp_digit) * CHAR_BIT - 1); - *tmpc++ &= MP_MASK; - } - } - - /* zero excess digits */ - while (ix++ < oldused) { - *tmpc++ = 0; - } - mp_clamp(c); - return MP_OKAY; -} - -#endif - -/* End: bn_mp_sub_d.c */ - -/* Start: bn_mp_submod.c */ -#include -#ifdef BN_MP_SUBMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* d = a - b (mod c) */ -int -mp_submod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) -{ - int res; - mp_int t; - - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - if ((res = mp_sub (a, b, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - res = mp_mod (&t, c, d); - mp_clear (&t); - return res; -} -#endif - -/* End: bn_mp_submod.c */ - -/* Start: bn_mp_to_signed_bin.c */ -#include -#ifdef BN_MP_TO_SIGNED_BIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* store in signed [big endian] format */ -int mp_to_signed_bin (mp_int * a, unsigned char *b) -{ - int res; - - if ((res = mp_to_unsigned_bin (a, b + 1)) != MP_OKAY) { - return res; - } - b[0] = (unsigned char) ((a->sign == MP_ZPOS) ? 0 : 1); - return MP_OKAY; -} -#endif - -/* End: bn_mp_to_signed_bin.c */ - -/* Start: bn_mp_to_signed_bin_n.c */ -#include -#ifdef BN_MP_TO_SIGNED_BIN_N_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* store in signed [big endian] format */ -int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) -{ - if (*outlen < (unsigned long)mp_signed_bin_size(a)) { - return MP_VAL; - } - *outlen = mp_signed_bin_size(a); - return mp_to_signed_bin(a, b); -} -#endif - -/* End: bn_mp_to_signed_bin_n.c */ - -/* Start: bn_mp_to_unsigned_bin.c */ -#include -#ifdef BN_MP_TO_UNSIGNED_BIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* store in unsigned [big endian] format */ -int mp_to_unsigned_bin (mp_int * a, unsigned char *b) -{ - int x, res; - mp_int t; - - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - - x = 0; - while (mp_iszero (&t) == 0) { -#ifndef MP_8BIT - b[x++] = (unsigned char) (t.dp[0] & 255); -#else - b[x++] = (unsigned char) (t.dp[0] | ((t.dp[1] & 0x01) << 7)); -#endif - if ((res = mp_div_2d (&t, 8, &t, NULL)) != MP_OKAY) { - mp_clear (&t); - return res; - } - } - bn_reverse (b, x); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_mp_to_unsigned_bin.c */ - -/* Start: bn_mp_to_unsigned_bin_n.c */ -#include -#ifdef BN_MP_TO_UNSIGNED_BIN_N_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* store in unsigned [big endian] format */ -int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) -{ - if (*outlen < (unsigned long)mp_unsigned_bin_size(a)) { - return MP_VAL; - } - *outlen = mp_unsigned_bin_size(a); - return mp_to_unsigned_bin(a, b); -} -#endif - -/* End: bn_mp_to_unsigned_bin_n.c */ - -/* Start: bn_mp_toom_mul.c */ -#include -#ifdef BN_MP_TOOM_MUL_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* multiplication using the Toom-Cook 3-way algorithm - * - * Much more complicated than Karatsuba but has a lower - * asymptotic running time of O(N**1.464). This algorithm is - * only particularly useful on VERY large inputs - * (we're talking 1000s of digits here...). -*/ -int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) -{ - mp_int w0, w1, w2, w3, w4, tmp1, tmp2, a0, a1, a2, b0, b1, b2; - int res, B; - - /* init temps */ - if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, - &a0, &a1, &a2, &b0, &b1, - &b2, &tmp1, &tmp2, NULL)) != MP_OKAY) { - return res; - } - - /* B */ - B = MIN(a->used, b->used) / 3; - - /* a = a2 * B**2 + a1 * B + a0 */ - if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_copy(a, &a1)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&a1, B); - mp_mod_2d(&a1, DIGIT_BIT * B, &a1); - - if ((res = mp_copy(a, &a2)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&a2, B*2); - - /* b = b2 * B**2 + b1 * B + b0 */ - if ((res = mp_mod_2d(b, DIGIT_BIT * B, &b0)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_copy(b, &b1)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&b1, B); - mp_mod_2d(&b1, DIGIT_BIT * B, &b1); - - if ((res = mp_copy(b, &b2)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&b2, B*2); - - /* w0 = a0*b0 */ - if ((res = mp_mul(&a0, &b0, &w0)) != MP_OKAY) { - goto ERR; - } - - /* w4 = a2 * b2 */ - if ((res = mp_mul(&a2, &b2, &w4)) != MP_OKAY) { - goto ERR; - } - - /* w1 = (a2 + 2(a1 + 2a0))(b2 + 2(b1 + 2b0)) */ - if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_mul_2(&b0, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp2, &b1, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp2, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp2, &b2, &tmp2)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_mul(&tmp1, &tmp2, &w1)) != MP_OKAY) { - goto ERR; - } - - /* w3 = (a0 + 2(a1 + 2a2))(b0 + 2(b1 + 2b2)) */ - if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_mul_2(&b2, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp2, &b1, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp2, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_mul(&tmp1, &tmp2, &w3)) != MP_OKAY) { - goto ERR; - } - - - /* w2 = (a2 + a1 + a0)(b2 + b1 + b0) */ - if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&b2, &b1, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul(&tmp1, &tmp2, &w2)) != MP_OKAY) { - goto ERR; - } - - /* now solve the matrix - - 0 0 0 0 1 - 1 2 4 8 16 - 1 1 1 1 1 - 16 8 4 2 1 - 1 0 0 0 0 - - using 12 subtractions, 4 shifts, - 2 small divisions and 1 small multiplication - */ - - /* r1 - r4 */ - if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r0 */ - if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/2 */ - if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3/2 */ - if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { - goto ERR; - } - /* r2 - r0 - r4 */ - if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1 - 8r0 */ - if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - 8r4 */ - if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { - goto ERR; - } - /* 3r2 - r1 - r3 */ - if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/3 */ - if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { - goto ERR; - } - /* r3/3 */ - if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { - goto ERR; - } - - /* at this point shift W[n] by B*n */ - if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_add(&w0, &w1, c)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, c, c)) != MP_OKAY) { - goto ERR; - } - -ERR: - mp_clear_multi(&w0, &w1, &w2, &w3, &w4, - &a0, &a1, &a2, &b0, &b1, - &b2, &tmp1, &tmp2, NULL); - return res; -} - -#endif - -/* End: bn_mp_toom_mul.c */ - -/* Start: bn_mp_toom_sqr.c */ -#include -#ifdef BN_MP_TOOM_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* squaring using Toom-Cook 3-way algorithm */ -int -mp_toom_sqr(mp_int *a, mp_int *b) -{ - mp_int w0, w1, w2, w3, w4, tmp1, a0, a1, a2; - int res, B; - - /* init temps */ - if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL)) != MP_OKAY) { - return res; - } - - /* B */ - B = a->used / 3; - - /* a = a2 * B**2 + a1 * B + a0 */ - if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_copy(a, &a1)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&a1, B); - mp_mod_2d(&a1, DIGIT_BIT * B, &a1); - - if ((res = mp_copy(a, &a2)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&a2, B*2); - - /* w0 = a0*a0 */ - if ((res = mp_sqr(&a0, &w0)) != MP_OKAY) { - goto ERR; - } - - /* w4 = a2 * a2 */ - if ((res = mp_sqr(&a2, &w4)) != MP_OKAY) { - goto ERR; - } - - /* w1 = (a2 + 2(a1 + 2a0))**2 */ - if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_sqr(&tmp1, &w1)) != MP_OKAY) { - goto ERR; - } - - /* w3 = (a0 + 2(a1 + 2a2))**2 */ - if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_sqr(&tmp1, &w3)) != MP_OKAY) { - goto ERR; - } - - - /* w2 = (a2 + a1 + a0)**2 */ - if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sqr(&tmp1, &w2)) != MP_OKAY) { - goto ERR; - } - - /* now solve the matrix - - 0 0 0 0 1 - 1 2 4 8 16 - 1 1 1 1 1 - 16 8 4 2 1 - 1 0 0 0 0 - - using 12 subtractions, 4 shifts, 2 small divisions and 1 small multiplication. - */ - - /* r1 - r4 */ - if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r0 */ - if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/2 */ - if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3/2 */ - if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { - goto ERR; - } - /* r2 - r0 - r4 */ - if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1 - 8r0 */ - if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - 8r4 */ - if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { - goto ERR; - } - /* 3r2 - r1 - r3 */ - if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/3 */ - if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { - goto ERR; - } - /* r3/3 */ - if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { - goto ERR; - } - - /* at this point shift W[n] by B*n */ - if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_add(&w0, &w1, b)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, b, b)) != MP_OKAY) { - goto ERR; - } - -ERR: - mp_clear_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL); - return res; -} - -#endif - -/* End: bn_mp_toom_sqr.c */ - -/* Start: bn_mp_toradix.c */ -#include -#ifdef BN_MP_TORADIX_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* stores a bignum as a ASCII string in a given radix (2..64) */ -int mp_toradix (mp_int * a, char *str, int radix) -{ - int res, digs; - mp_int t; - mp_digit d; - char *_s = str; - - /* check range of the radix */ - if (radix < 2 || radix > 64) { - return MP_VAL; - } - - /* quick out if its zero */ - if (mp_iszero(a) == 1) { - *str++ = '0'; - *str = '\0'; - return MP_OKAY; - } - - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - - /* if it is negative output a - */ - if (t.sign == MP_NEG) { - ++_s; - *str++ = '-'; - t.sign = MP_ZPOS; - } - - digs = 0; - while (mp_iszero (&t) == 0) { - if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) { - mp_clear (&t); - return res; - } - *str++ = mp_s_rmap[d]; - ++digs; - } - - /* reverse the digits of the string. In this case _s points - * to the first digit [exluding the sign] of the number] - */ - bn_reverse ((unsigned char *)_s, digs); - - /* append a NULL so the string is properly terminated */ - *str = '\0'; - - mp_clear (&t); - return MP_OKAY; -} - -#endif - -/* End: bn_mp_toradix.c */ - -/* Start: bn_mp_toradix_n.c */ -#include -#ifdef BN_MP_TORADIX_N_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* stores a bignum as a ASCII string in a given radix (2..64) - * - * Stores upto maxlen-1 chars and always a NULL byte - */ -int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) -{ - int res, digs; - mp_int t; - mp_digit d; - char *_s = str; - - /* check range of the maxlen, radix */ - if (maxlen < 2 || radix < 2 || radix > 64) { - return MP_VAL; - } - - /* quick out if its zero */ - if (mp_iszero(a) == MP_YES) { - *str++ = '0'; - *str = '\0'; - return MP_OKAY; - } - - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - - /* if it is negative output a - */ - if (t.sign == MP_NEG) { - /* we have to reverse our digits later... but not the - sign!! */ - ++_s; - - /* store the flag and mark the number as positive */ - *str++ = '-'; - t.sign = MP_ZPOS; - - /* subtract a char */ - --maxlen; - } - - digs = 0; - while (mp_iszero (&t) == 0) { - if (--maxlen < 1) { - /* no more room */ - break; - } - if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) { - mp_clear (&t); - return res; - } - *str++ = mp_s_rmap[d]; - ++digs; - } - - /* reverse the digits of the string. In this case _s points - * to the first digit [exluding the sign] of the number - */ - bn_reverse ((unsigned char *)_s, digs); - - /* append a NULL so the string is properly terminated */ - *str = '\0'; - - mp_clear (&t); - return MP_OKAY; -} - -#endif - -/* End: bn_mp_toradix_n.c */ - -/* Start: bn_mp_unsigned_bin_size.c */ -#include -#ifdef BN_MP_UNSIGNED_BIN_SIZE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* get the size for an unsigned equivalent */ -int mp_unsigned_bin_size (mp_int * a) -{ - int size = mp_count_bits (a); - return (size / 8 + ((size & 7) != 0 ? 1 : 0)); -} -#endif - -/* End: bn_mp_unsigned_bin_size.c */ - -/* Start: bn_mp_xor.c */ -#include -#ifdef BN_MP_XOR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* XOR two ints together */ -int -mp_xor (mp_int * a, mp_int * b, mp_int * c) -{ - int res, ix, px; - mp_int t, *x; - - if (a->used > b->used) { - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - px = b->used; - x = b; - } else { - if ((res = mp_init_copy (&t, b)) != MP_OKAY) { - return res; - } - px = a->used; - x = a; - } - - for (ix = 0; ix < px; ix++) { - t.dp[ix] ^= x->dp[ix]; - } - mp_clamp (&t); - mp_exch (c, &t); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_mp_xor.c */ - -/* Start: bn_mp_zero.c */ -#include -#ifdef BN_MP_ZERO_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* set to zero */ -void mp_zero (mp_int * a) -{ - int n; - mp_digit *tmp; - - a->sign = MP_ZPOS; - a->used = 0; - - tmp = a->dp; - for (n = 0; n < a->alloc; n++) { - *tmp++ = 0; - } -} -#endif - -/* End: bn_mp_zero.c */ - -/* Start: bn_prime_tab.c */ -#include -#ifdef BN_PRIME_TAB_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ -const mp_digit ltm_prime_tab[] = { - 0x0002, 0x0003, 0x0005, 0x0007, 0x000B, 0x000D, 0x0011, 0x0013, - 0x0017, 0x001D, 0x001F, 0x0025, 0x0029, 0x002B, 0x002F, 0x0035, - 0x003B, 0x003D, 0x0043, 0x0047, 0x0049, 0x004F, 0x0053, 0x0059, - 0x0061, 0x0065, 0x0067, 0x006B, 0x006D, 0x0071, 0x007F, -#ifndef MP_8BIT - 0x0083, - 0x0089, 0x008B, 0x0095, 0x0097, 0x009D, 0x00A3, 0x00A7, 0x00AD, - 0x00B3, 0x00B5, 0x00BF, 0x00C1, 0x00C5, 0x00C7, 0x00D3, 0x00DF, - 0x00E3, 0x00E5, 0x00E9, 0x00EF, 0x00F1, 0x00FB, 0x0101, 0x0107, - 0x010D, 0x010F, 0x0115, 0x0119, 0x011B, 0x0125, 0x0133, 0x0137, - - 0x0139, 0x013D, 0x014B, 0x0151, 0x015B, 0x015D, 0x0161, 0x0167, - 0x016F, 0x0175, 0x017B, 0x017F, 0x0185, 0x018D, 0x0191, 0x0199, - 0x01A3, 0x01A5, 0x01AF, 0x01B1, 0x01B7, 0x01BB, 0x01C1, 0x01C9, - 0x01CD, 0x01CF, 0x01D3, 0x01DF, 0x01E7, 0x01EB, 0x01F3, 0x01F7, - 0x01FD, 0x0209, 0x020B, 0x021D, 0x0223, 0x022D, 0x0233, 0x0239, - 0x023B, 0x0241, 0x024B, 0x0251, 0x0257, 0x0259, 0x025F, 0x0265, - 0x0269, 0x026B, 0x0277, 0x0281, 0x0283, 0x0287, 0x028D, 0x0293, - 0x0295, 0x02A1, 0x02A5, 0x02AB, 0x02B3, 0x02BD, 0x02C5, 0x02CF, - - 0x02D7, 0x02DD, 0x02E3, 0x02E7, 0x02EF, 0x02F5, 0x02F9, 0x0301, - 0x0305, 0x0313, 0x031D, 0x0329, 0x032B, 0x0335, 0x0337, 0x033B, - 0x033D, 0x0347, 0x0355, 0x0359, 0x035B, 0x035F, 0x036D, 0x0371, - 0x0373, 0x0377, 0x038B, 0x038F, 0x0397, 0x03A1, 0x03A9, 0x03AD, - 0x03B3, 0x03B9, 0x03C7, 0x03CB, 0x03D1, 0x03D7, 0x03DF, 0x03E5, - 0x03F1, 0x03F5, 0x03FB, 0x03FD, 0x0407, 0x0409, 0x040F, 0x0419, - 0x041B, 0x0425, 0x0427, 0x042D, 0x043F, 0x0443, 0x0445, 0x0449, - 0x044F, 0x0455, 0x045D, 0x0463, 0x0469, 0x047F, 0x0481, 0x048B, - - 0x0493, 0x049D, 0x04A3, 0x04A9, 0x04B1, 0x04BD, 0x04C1, 0x04C7, - 0x04CD, 0x04CF, 0x04D5, 0x04E1, 0x04EB, 0x04FD, 0x04FF, 0x0503, - 0x0509, 0x050B, 0x0511, 0x0515, 0x0517, 0x051B, 0x0527, 0x0529, - 0x052F, 0x0551, 0x0557, 0x055D, 0x0565, 0x0577, 0x0581, 0x058F, - 0x0593, 0x0595, 0x0599, 0x059F, 0x05A7, 0x05AB, 0x05AD, 0x05B3, - 0x05BF, 0x05C9, 0x05CB, 0x05CF, 0x05D1, 0x05D5, 0x05DB, 0x05E7, - 0x05F3, 0x05FB, 0x0607, 0x060D, 0x0611, 0x0617, 0x061F, 0x0623, - 0x062B, 0x062F, 0x063D, 0x0641, 0x0647, 0x0649, 0x064D, 0x0653 -#endif -}; -#endif - -/* End: bn_prime_tab.c */ - -/* Start: bn_reverse.c */ -#include -#ifdef BN_REVERSE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* reverse an array, used for radix code */ -void -bn_reverse (unsigned char *s, int len) -{ - int ix, iy; - unsigned char t; - - ix = 0; - iy = len - 1; - while (ix < iy) { - t = s[ix]; - s[ix] = s[iy]; - s[iy] = t; - ++ix; - --iy; - } -} -#endif - -/* End: bn_reverse.c */ - -/* Start: bn_s_mp_add.c */ -#include -#ifdef BN_S_MP_ADD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* low level addition, based on HAC pp.594, Algorithm 14.7 */ -int -s_mp_add (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int *x; - int olduse, res, min, max; - - /* find sizes, we let |a| <= |b| which means we have to sort - * them. "x" will point to the input with the most digits - */ - if (a->used > b->used) { - min = b->used; - max = a->used; - x = a; - } else { - min = a->used; - max = b->used; - x = b; - } - - /* init result */ - if (c->alloc < max + 1) { - if ((res = mp_grow (c, max + 1)) != MP_OKAY) { - return res; - } - } - - /* get old used digit count and set new one */ - olduse = c->used; - c->used = max + 1; - - { - register mp_digit u, *tmpa, *tmpb, *tmpc; - register int i; - - /* alias for digit pointers */ - - /* first input */ - tmpa = a->dp; - - /* second input */ - tmpb = b->dp; - - /* destination */ - tmpc = c->dp; - - /* zero the carry */ - u = 0; - for (i = 0; i < min; i++) { - /* Compute the sum at one digit, T[i] = A[i] + B[i] + U */ - *tmpc = *tmpa++ + *tmpb++ + u; - - /* U = carry bit of T[i] */ - u = *tmpc >> ((mp_digit)DIGIT_BIT); - - /* take away carry bit from T[i] */ - *tmpc++ &= MP_MASK; - } - - /* now copy higher words if any, that is in A+B - * if A or B has more digits add those in - */ - if (min != max) { - for (; i < max; i++) { - /* T[i] = X[i] + U */ - *tmpc = x->dp[i] + u; - - /* U = carry bit of T[i] */ - u = *tmpc >> ((mp_digit)DIGIT_BIT); - - /* take away carry bit from T[i] */ - *tmpc++ &= MP_MASK; - } - } - - /* add carry */ - *tmpc++ = u; - - /* clear digits above oldused */ - for (i = c->used; i < olduse; i++) { - *tmpc++ = 0; - } - } - - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* End: bn_s_mp_add.c */ - -/* Start: bn_s_mp_exptmod.c */ -#include -#ifdef BN_S_MP_EXPTMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ -#ifdef MP_LOW_MEM - #define TAB_SIZE 32 -#else - #define TAB_SIZE 256 -#endif - -int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) -{ - mp_int M[TAB_SIZE], res, mu; - mp_digit buf; - int err, bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize; - int (*redux)(mp_int*,mp_int*,mp_int*); - - /* find window size */ - x = mp_count_bits (X); - if (x <= 7) { - winsize = 2; - } else if (x <= 36) { - winsize = 3; - } else if (x <= 140) { - winsize = 4; - } else if (x <= 450) { - winsize = 5; - } else if (x <= 1303) { - winsize = 6; - } else if (x <= 3529) { - winsize = 7; - } else { - winsize = 8; - } - -#ifdef MP_LOW_MEM - if (winsize > 5) { - winsize = 5; - } -#endif - - /* init M array */ - /* init first cell */ - if ((err = mp_init(&M[1])) != MP_OKAY) { - return err; - } - - /* now init the second half of the array */ - for (x = 1<<(winsize-1); x < (1 << winsize); x++) { - if ((err = mp_init(&M[x])) != MP_OKAY) { - for (y = 1<<(winsize-1); y < x; y++) { - mp_clear (&M[y]); - } - mp_clear(&M[1]); - return err; - } - } - - /* create mu, used for Barrett reduction */ - if ((err = mp_init (&mu)) != MP_OKAY) { - goto LBL_M; - } - - if (redmode == 0) { - if ((err = mp_reduce_setup (&mu, P)) != MP_OKAY) { - goto LBL_MU; - } - redux = mp_reduce; - } else { - if ((err = mp_reduce_2k_setup_l (P, &mu)) != MP_OKAY) { - goto LBL_MU; - } - redux = mp_reduce_2k_l; - } - - /* create M table - * - * The M table contains powers of the base, - * e.g. M[x] = G**x mod P - * - * The first half of the table is not - * computed though accept for M[0] and M[1] - */ - if ((err = mp_mod (G, P, &M[1])) != MP_OKAY) { - goto LBL_MU; - } - - /* compute the value at M[1<<(winsize-1)] by squaring - * M[1] (winsize-1) times - */ - if ((err = mp_copy (&M[1], &M[1 << (winsize - 1)])) != MP_OKAY) { - goto LBL_MU; - } - - for (x = 0; x < (winsize - 1); x++) { - /* square it */ - if ((err = mp_sqr (&M[1 << (winsize - 1)], - &M[1 << (winsize - 1)])) != MP_OKAY) { - goto LBL_MU; - } - - /* reduce modulo P */ - if ((err = redux (&M[1 << (winsize - 1)], P, &mu)) != MP_OKAY) { - goto LBL_MU; - } - } - - /* create upper table, that is M[x] = M[x-1] * M[1] (mod P) - * for x = (2**(winsize - 1) + 1) to (2**winsize - 1) - */ - for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) { - if ((err = mp_mul (&M[x - 1], &M[1], &M[x])) != MP_OKAY) { - goto LBL_MU; - } - if ((err = redux (&M[x], P, &mu)) != MP_OKAY) { - goto LBL_MU; - } - } - - /* setup result */ - if ((err = mp_init (&res)) != MP_OKAY) { - goto LBL_MU; - } - mp_set (&res, 1); - - /* set initial mode and bit cnt */ - mode = 0; - bitcnt = 1; - buf = 0; - digidx = X->used - 1; - bitcpy = 0; - bitbuf = 0; - - for (;;) { - /* grab next digit as required */ - if (--bitcnt == 0) { - /* if digidx == -1 we are out of digits */ - if (digidx == -1) { - break; - } - /* read next digit and reset the bitcnt */ - buf = X->dp[digidx--]; - bitcnt = (int) DIGIT_BIT; - } - - /* grab the next msb from the exponent */ - y = (buf >> (mp_digit)(DIGIT_BIT - 1)) & 1; - buf <<= (mp_digit)1; - - /* if the bit is zero and mode == 0 then we ignore it - * These represent the leading zero bits before the first 1 bit - * in the exponent. Technically this opt is not required but it - * does lower the # of trivial squaring/reductions used - */ - if (mode == 0 && y == 0) { - continue; - } - - /* if the bit is zero and mode == 1 then we square */ - if (mode == 1 && y == 0) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } - continue; - } - - /* else we add it to the window */ - bitbuf |= (y << (winsize - ++bitcpy)); - mode = 2; - - if (bitcpy == winsize) { - /* ok window is filled so square as required and multiply */ - /* square first */ - for (x = 0; x < winsize; x++) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* then multiply */ - if ((err = mp_mul (&res, &M[bitbuf], &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } - - /* empty window and reset */ - bitcpy = 0; - bitbuf = 0; - mode = 1; - } - } - - /* if bits remain then square/multiply */ - if (mode == 2 && bitcpy > 0) { - /* square then multiply if the bit is set */ - for (x = 0; x < bitcpy; x++) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } - - bitbuf <<= 1; - if ((bitbuf & (1 << winsize)) != 0) { - /* then multiply */ - if ((err = mp_mul (&res, &M[1], &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } - } - } - } - - mp_exch (&res, Y); - err = MP_OKAY; -LBL_RES:mp_clear (&res); -LBL_MU:mp_clear (&mu); -LBL_M: - mp_clear(&M[1]); - for (x = 1<<(winsize-1); x < (1 << winsize); x++) { - mp_clear (&M[x]); - } - return err; -} -#endif - -/* End: bn_s_mp_exptmod.c */ - -/* Start: bn_s_mp_mul_digs.c */ -#include -#ifdef BN_S_MP_MUL_DIGS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* multiplies |a| * |b| and only computes upto digs digits of result - * HAC pp. 595, Algorithm 14.12 Modified so you can control how - * many digits of output are created. - */ -int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) -{ - mp_int t; - int res, pa, pb, ix, iy; - mp_digit u; - mp_word r; - mp_digit tmpx, *tmpt, *tmpy; - - /* can we use the fast multiplier? */ - if (((digs) < MP_WARRAY) && - MIN (a->used, b->used) < - (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { - return fast_s_mp_mul_digs (a, b, c, digs); - } - - if ((res = mp_init_size (&t, digs)) != MP_OKAY) { - return res; - } - t.used = digs; - - /* compute the digits of the product directly */ - pa = a->used; - for (ix = 0; ix < pa; ix++) { - /* set the carry to zero */ - u = 0; - - /* limit ourselves to making digs digits of output */ - pb = MIN (b->used, digs - ix); - - /* setup some aliases */ - /* copy of the digit from a used within the nested loop */ - tmpx = a->dp[ix]; - - /* an alias for the destination shifted ix places */ - tmpt = t.dp + ix; - - /* an alias for the digits of b */ - tmpy = b->dp; - - /* compute the columns of the output and propagate the carry */ - for (iy = 0; iy < pb; iy++) { - /* compute the column as a mp_word */ - r = ((mp_word)*tmpt) + - ((mp_word)tmpx) * ((mp_word)*tmpy++) + - ((mp_word) u); - - /* the new column is the lower part of the result */ - *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); - - /* get the carry word from the result */ - u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); - } - /* set carry if it is placed below digs */ - if (ix + iy < digs) { - *tmpt = u; - } - } - - mp_clamp (&t); - mp_exch (&t, c); - - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_s_mp_mul_digs.c */ - -/* Start: bn_s_mp_mul_high_digs.c */ -#include -#ifdef BN_S_MP_MUL_HIGH_DIGS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* multiplies |a| * |b| and does not compute the lower digs digits - * [meant to get the higher part of the product] - */ -int -s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) -{ - mp_int t; - int res, pa, pb, ix, iy; - mp_digit u; - mp_word r; - mp_digit tmpx, *tmpt, *tmpy; - - /* can we use the fast multiplier? */ -#ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C - if (((a->used + b->used + 1) < MP_WARRAY) - && MIN (a->used, b->used) < (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { - return fast_s_mp_mul_high_digs (a, b, c, digs); - } -#endif - - if ((res = mp_init_size (&t, a->used + b->used + 1)) != MP_OKAY) { - return res; - } - t.used = a->used + b->used + 1; - - pa = a->used; - pb = b->used; - for (ix = 0; ix < pa; ix++) { - /* clear the carry */ - u = 0; - - /* left hand side of A[ix] * B[iy] */ - tmpx = a->dp[ix]; - - /* alias to the address of where the digits will be stored */ - tmpt = &(t.dp[digs]); - - /* alias for where to read the right hand side from */ - tmpy = b->dp + (digs - ix); - - for (iy = digs - ix; iy < pb; iy++) { - /* calculate the double precision result */ - r = ((mp_word)*tmpt) + - ((mp_word)tmpx) * ((mp_word)*tmpy++) + - ((mp_word) u); - - /* get the lower part */ - *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); - - /* carry the carry */ - u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); - } - *tmpt = u; - } - mp_clamp (&t); - mp_exch (&t, c); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_s_mp_mul_high_digs.c */ - -/* Start: bn_s_mp_sqr.c */ -#include -#ifdef BN_S_MP_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* low level squaring, b = a*a, HAC pp.596-597, Algorithm 14.16 */ -int s_mp_sqr (mp_int * a, mp_int * b) -{ - mp_int t; - int res, ix, iy, pa; - mp_word r; - mp_digit u, tmpx, *tmpt; - - pa = a->used; - if ((res = mp_init_size (&t, 2*pa + 1)) != MP_OKAY) { - return res; - } - - /* default used is maximum possible size */ - t.used = 2*pa + 1; - - for (ix = 0; ix < pa; ix++) { - /* first calculate the digit at 2*ix */ - /* calculate double precision result */ - r = ((mp_word) t.dp[2*ix]) + - ((mp_word)a->dp[ix])*((mp_word)a->dp[ix]); - - /* store lower part in result */ - t.dp[ix+ix] = (mp_digit) (r & ((mp_word) MP_MASK)); - - /* get the carry */ - u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); - - /* left hand side of A[ix] * A[iy] */ - tmpx = a->dp[ix]; - - /* alias for where to store the results */ - tmpt = t.dp + (2*ix + 1); - - for (iy = ix + 1; iy < pa; iy++) { - /* first calculate the product */ - r = ((mp_word)tmpx) * ((mp_word)a->dp[iy]); - - /* now calculate the double precision result, note we use - * addition instead of *2 since it's easier to optimize - */ - r = ((mp_word) *tmpt) + r + r + ((mp_word) u); - - /* store lower part */ - *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); - - /* get carry */ - u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); - } - /* propagate upwards */ - while (u != ((mp_digit) 0)) { - r = ((mp_word) *tmpt) + ((mp_word) u); - *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); - u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); - } - } - - mp_clamp (&t); - mp_exch (&t, b); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_s_mp_sqr.c */ - -/* Start: bn_s_mp_sub.c */ -#include -#ifdef BN_S_MP_SUB_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* low level subtraction (assumes |a| > |b|), HAC pp.595 Algorithm 14.9 */ -int -s_mp_sub (mp_int * a, mp_int * b, mp_int * c) -{ - int olduse, res, min, max; - - /* find sizes */ - min = b->used; - max = a->used; - - /* init result */ - if (c->alloc < max) { - if ((res = mp_grow (c, max)) != MP_OKAY) { - return res; - } - } - olduse = c->used; - c->used = max; - - { - register mp_digit u, *tmpa, *tmpb, *tmpc; - register int i; - - /* alias for digit pointers */ - tmpa = a->dp; - tmpb = b->dp; - tmpc = c->dp; - - /* set carry to zero */ - u = 0; - for (i = 0; i < min; i++) { - /* T[i] = A[i] - B[i] - U */ - *tmpc = *tmpa++ - *tmpb++ - u; - - /* U = carry bit of T[i] - * Note this saves performing an AND operation since - * if a carry does occur it will propagate all the way to the - * MSB. As a result a single shift is enough to get the carry - */ - u = *tmpc >> ((mp_digit)(CHAR_BIT * sizeof (mp_digit) - 1)); - - /* Clear carry from T[i] */ - *tmpc++ &= MP_MASK; - } - - /* now copy higher words if any, e.g. if A has more digits than B */ - for (; i < max; i++) { - /* T[i] = A[i] - U */ - *tmpc = *tmpa++ - u; - - /* U = carry bit of T[i] */ - u = *tmpc >> ((mp_digit)(CHAR_BIT * sizeof (mp_digit) - 1)); - - /* Clear carry from T[i] */ - *tmpc++ &= MP_MASK; - } - - /* clear digits above used (since we may not have grown result above) */ - for (i = c->used; i < olduse; i++) { - *tmpc++ = 0; - } - } - - mp_clamp (c); - return MP_OKAY; -} - -#endif - -/* End: bn_s_mp_sub.c */ - -/* Start: bncore.c */ -#include -#ifdef BNCORE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* Known optimal configurations - - CPU /Compiler /MUL CUTOFF/SQR CUTOFF -------------------------------------------------------------- - Intel P4 Northwood /GCC v3.4.1 / 88/ 128/LTM 0.32 ;-) - AMD Athlon64 /GCC v3.4.4 / 80/ 120/LTM 0.35 - -*/ - -int KARATSUBA_MUL_CUTOFF = 80, /* Min. number of digits before Karatsuba multiplication is used. */ - KARATSUBA_SQR_CUTOFF = 120, /* Min. number of digits before Karatsuba squaring is used. */ - - TOOM_MUL_CUTOFF = 350, /* no optimal values of these are known yet so set em high */ - TOOM_SQR_CUTOFF = 400; -#endif - -/* End: bncore.c */ - - -/* EOF */ diff --git a/libtommath/tombc/grammar.txt b/libtommath/tombc/grammar.txt deleted file mode 100644 index a780e75..0000000 --- a/libtommath/tombc/grammar.txt +++ /dev/null @@ -1,35 +0,0 @@ -program := program statement | statement | empty -statement := { statement } | - identifier = numexpression; | - identifier[numexpression] = numexpression; | - function(expressionlist); | - for (identifer = numexpression; numexpression; identifier = numexpression) { statement } | - while (numexpression) { statement } | - if (numexpresion) { statement } elif | - break; | - continue; - -elif := else statement | empty -function := abs | countbits | exptmod | jacobi | print | isprime | nextprime | issquare | readinteger | exit -expressionlist := expressionlist, expression | expression - -// LR(1) !!!? -expression := string | numexpression -numexpression := cmpexpr && cmpexpr | cmpexpr \|\| cmpexpr | cmpexpr -cmpexpr := boolexpr < boolexpr | boolexpr > boolexpr | boolexpr == boolexpr | - boolexpr <= boolexpr | boolexpr >= boolexpr | boolexpr -boolexpr := shiftexpr & shiftexpr | shiftexpr ^ shiftexpr | shiftexpr \| shiftexpr | shiftexpr -shiftexpr := addsubexpr << addsubexpr | addsubexpr >> addsubexpr | addsubexpr -addsubexpr := mulexpr + mulexpr | mulexpr - mulexpr | mulexpr -mulexpr := expr * expr | expr / expr | expr % expr | expr -expr := -nexpr | nexpr -nexpr := integer | identifier | ( numexpression ) | identifier[numexpression] - -identifier := identifer digits | identifier alpha | alpha -alpha := a ... z | A ... Z -integer := hexnumber | digits -hexnumber := 0xhexdigits -hexdigits := hexdigits hexdigit | hexdigit -hexdigit := 0 ... 9 | a ... f | A ... F -digits := digits digit | digit -digit := 0 ... 9 diff --git a/libtommath/tommath.h b/libtommath/tommath.h index 4b3a76f..4e6b1a5 100644 --- a/libtommath/tommath.h +++ b/libtommath/tommath.h @@ -10,46 +10,27 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://math.libtomcrypt.com */ #ifndef BN_H_ #define BN_H_ #include -#include #include -#include +#include #include #include -#ifndef MIN -# define MIN(x,y) ((x)<(y)?(x):(y)) -#endif - -#ifndef MAX -# define MAX(x,y) ((x)>(y)?(x):(y)) -#endif - #ifdef __cplusplus extern "C" { - -/* C++ compilers don't like assigning void * to mp_digit * */ -#define OPT_CAST(x) (x *) - -#else - -/* C on the other hand doesn't care */ -#define OPT_CAST(x) - #endif - /* detect 64-bit mode if possible */ -#if defined(__x86_64__) -# if !(defined(MP_64BIT) && defined(MP_16BIT) && defined(MP_8BIT)) -# define MP_64BIT -# endif +#if defined(__x86_64__) + #if !(defined(MP_32BIT) || defined(MP_16BIT) || defined(MP_8BIT)) + #define MP_64BIT + #endif #endif /* some default configurations. @@ -61,70 +42,68 @@ extern "C" { * [any size beyond that is ok provided it doesn't overflow the data type] */ #ifdef MP_8BIT - typedef unsigned char mp_digit; - typedef unsigned short mp_word; + typedef uint8_t mp_digit; + typedef uint16_t mp_word; +#define MP_SIZEOF_MP_DIGIT 1 +#ifdef DIGIT_BIT +#error You must not define DIGIT_BIT when using MP_8BIT +#endif #elif defined(MP_16BIT) - typedef unsigned short mp_digit; - typedef unsigned long mp_word; + typedef uint16_t mp_digit; + typedef uint32_t mp_word; +#define MP_SIZEOF_MP_DIGIT 2 +#ifdef DIGIT_BIT +#error You must not define DIGIT_BIT when using MP_16BIT +#endif #elif defined(MP_64BIT) /* for GCC only on supported platforms */ -#ifndef CRYPT - typedef unsigned long long ulong64; - typedef signed long long long64; + typedef uint64_t mp_digit; +#if defined(_WIN32) + typedef unsigned __int128 mp_word; +#elif defined(__GNUC__) + typedef unsigned long mp_word __attribute__ ((mode(TI))); +#else + /* it seems you have a problem + * but we assume you can somewhere define your own uint128_t */ + typedef uint128_t mp_word; #endif - typedef unsigned long mp_digit; - typedef unsigned long mp_word __attribute__ ((mode(TI))); - -# define DIGIT_BIT 60 + #define DIGIT_BIT 60 #else /* this is the default case, 28-bit digits */ - - /* this is to make porting into LibTomCrypt easier :-) */ -#ifndef CRYPT -# if defined(_MSC_VER) || defined(__BORLANDC__) - typedef unsigned __int64 ulong64; - typedef signed __int64 long64; -# else - typedef unsigned long long ulong64; - typedef signed long long long64; -# endif -#endif - typedef unsigned long mp_digit; - typedef ulong64 mp_word; + /* this is to make porting into LibTomCrypt easier :-) */ + typedef uint32_t mp_digit; + typedef uint64_t mp_word; -#ifdef MP_31BIT +#ifdef MP_31BIT /* this is an extension that uses 31-bit digits */ -# define DIGIT_BIT 31 + #define DIGIT_BIT 31 #else /* default case is 28-bit digits, defines MP_28BIT as a handy macro to test */ -# define DIGIT_BIT 28 -# define MP_28BIT -#endif + #define DIGIT_BIT 28 + #define MP_28BIT #endif - -/* define heap macros */ -#ifndef CRYPT - /* default to libc stuff */ -# ifndef XMALLOC -# define XMALLOC malloc -# define XFREE free -# define XREALLOC realloc -# define XCALLOC calloc -# else - /* prototypes for our heap functions */ - extern void *XMALLOC(size_t n); - extern void *XREALLOC(void *p, size_t n); - extern void *XCALLOC(size_t n, size_t s); - extern void XFREE(void *p); -# endif #endif - /* otherwise the bits per digit is calculated automatically from the size of a mp_digit */ #ifndef DIGIT_BIT -# define DIGIT_BIT ((int)((CHAR_BIT * sizeof(mp_digit) - 1))) /* bits per digit */ + #define DIGIT_BIT (((CHAR_BIT * MP_SIZEOF_MP_DIGIT) - 1)) /* bits per digit */ + typedef uint_least32_t mp_min_u32; +#else + typedef mp_digit mp_min_u32; +#endif + +/* platforms that can use a better rand function */ +#if defined(__FreeBSD__) || defined(__OpenBSD__) || defined(__NetBSD__) || defined(__DragonFly__) + #define MP_USE_ALT_RAND 1 +#endif + +/* use arc4random on platforms that support it */ +#ifdef MP_USE_ALT_RAND + #define MP_GEN_RANDOM() arc4random() +#else + #define MP_GEN_RANDOM() rand() #endif #define MP_DIGIT_BIT DIGIT_BIT @@ -165,15 +144,15 @@ extern int KARATSUBA_MUL_CUTOFF, /* default precision */ #ifndef MP_PREC -# ifndef MP_LOW_MEM -# define MP_PREC 32 /* default digits of precision */ -# else -# define MP_PREC 8 /* default digits of precision */ -# endif + #ifndef MP_LOW_MEM + #define MP_PREC 32 /* default digits of precision */ + #else + #define MP_PREC 8 /* default digits of precision */ + #endif #endif /* size of comba arrays, should be at least 2 * 2**(BITS_PER_WORD - BITS_PER_DIGIT*2) */ -#define MP_WARRAY (1 << (sizeof(mp_word) * CHAR_BIT - 2 * DIGIT_BIT + 1)) +#define MP_WARRAY (1 << (((sizeof(mp_word) * CHAR_BIT) - (2 * DIGIT_BIT)) + 1)) /* the infamous mp_int structure */ typedef struct { @@ -190,7 +169,7 @@ typedef int ltm_prime_callback(unsigned char *dst, int len, void *dat); #define SIGN(m) ((m)->sign) /* error code to char* string */ -char *mp_error_to_string(int code); +const char *mp_error_to_string(int code); /* ---> init and deinit bignum functions <--- */ /* init a bignum */ @@ -219,8 +198,9 @@ int mp_init_size(mp_int *a, int size); /* ---> Basic Manipulations <--- */ #define mp_iszero(a) (((a)->used == 0) ? MP_YES : MP_NO) -#define mp_iseven(a) (((a)->used == 0 || (((a)->dp[0] & 1) == 0)) ? MP_YES : MP_NO) -#define mp_isodd(a) (((a)->used > 0 && (((a)->dp[0] & 1) == 1)) ? MP_YES : MP_NO) +#define mp_iseven(a) ((((a)->used == 0) || (((a)->dp[0] & 1u) == 0u)) ? MP_YES : MP_NO) +#define mp_isodd(a) ((((a)->used > 0) && (((a)->dp[0] & 1u) == 1u)) ? MP_YES : MP_NO) +#define mp_isneg(a) (((a)->sign != MP_ZPOS) ? MP_YES : MP_NO) /* set to zero */ void mp_zero(mp_int *a); @@ -231,9 +211,21 @@ void mp_set(mp_int *a, mp_digit b); /* set a 32-bit const */ int mp_set_int(mp_int *a, unsigned long b); +/* set a platform dependent unsigned long value */ +int mp_set_long(mp_int *a, unsigned long b); + +/* set a platform dependent unsigned long long value */ +int mp_set_long_long(mp_int *a, unsigned long long b); + /* get a 32-bit value */ unsigned long mp_get_int(mp_int * a); +/* get a platform dependent unsigned long value */ +unsigned long mp_get_long(mp_int * a); + +/* get a platform dependent unsigned long long value */ +unsigned long long mp_get_long_long(mp_int * a); + /* initialize and set a digit */ int mp_init_set (mp_int * a, mp_digit b); @@ -249,6 +241,12 @@ int mp_init_copy(mp_int *a, mp_int *b); /* trim unused digits */ void mp_clamp(mp_int *a); +/* import binary data */ +int mp_import(mp_int* rop, size_t count, int order, size_t size, int endian, size_t nails, const void* op); + +/* export binary data */ +int mp_export(void* rop, size_t* countp, int order, size_t size, int endian, size_t nails, mp_int* op); + /* ---> digit manipulation <--- */ /* right shift by "b" digits */ @@ -257,19 +255,19 @@ void mp_rshd(mp_int *a, int b); /* left shift by "b" digits */ int mp_lshd(mp_int *a, int b); -/* c = a / 2**b */ +/* c = a / 2**b, implemented as c = a >> b */ int mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d); /* b = a/2 */ int mp_div_2(mp_int *a, mp_int *b); -/* c = a * 2**b */ +/* c = a * 2**b, implemented as c = a << b */ int mp_mul_2d(const mp_int *a, int b, mp_int *c); /* b = a*2 */ int mp_mul_2(mp_int *a, mp_int *b); -/* c = a mod 2**d */ +/* c = a mod 2**b */ int mp_mod_2d(const mp_int *a, int b, mp_int *c); /* computes a = 2**b */ @@ -347,6 +345,7 @@ int mp_div_3(mp_int *a, mp_int *c, mp_digit *d); /* c = a**b */ int mp_expt_d(mp_int *a, mp_digit b, mp_int *c); +int mp_expt_d_ex (mp_int * a, mp_digit b, mp_int * c, int fast); /* c = a mod b, 0 <= c < b */ int mp_mod_d(mp_int *a, mp_digit b, mp_digit *c); @@ -382,10 +381,14 @@ int mp_lcm(mp_int *a, mp_int *b, mp_int *c); * returns error if a < 0 and b is even */ int mp_n_root(mp_int *a, mp_digit b, mp_int *c); +int mp_n_root_ex (mp_int * a, mp_digit b, mp_int * c, int fast); /* special sqrt algo */ int mp_sqrt(mp_int *arg, mp_int *ret); +/* special sqrt (mod prime) */ +int mp_sqrtmod_prime(mp_int *arg, mp_int *prime, mp_int *ret); + /* is number a square? */ int mp_is_square(mp_int *arg, int *ret); @@ -447,13 +450,13 @@ int mp_exptmod(mp_int *a, mp_int *b, mp_int *c, mp_int *d); /* number of primes */ #ifdef MP_8BIT -# define PRIME_SIZE 31 + #define PRIME_SIZE 31 #else -# define PRIME_SIZE 256 + #define PRIME_SIZE 256 #endif /* table of first PRIME_SIZE primes */ -extern const mp_digit ltm_prime_tab[]; +extern const mp_digit ltm_prime_tab[PRIME_SIZE]; /* result=1 if a is divisible by one of the first PRIME_SIZE primes */ int mp_prime_is_divisible(mp_int *a, int *result); @@ -469,7 +472,7 @@ int mp_prime_fermat(mp_int *a, mp_int *b, int *result); int mp_prime_miller_rabin(mp_int *a, mp_int *b, int *result); /* This gives [for a given bit size] the number of trials required - * such that Miller-Rabin gives a prob of failure lower than 2^-96 + * such that Miller-Rabin gives a prob of failure lower than 2^-96 */ int mp_prime_rabin_miller_trials(int size); @@ -490,7 +493,7 @@ int mp_prime_is_prime(mp_int *a, int t, int *result); int mp_prime_next_prime(mp_int *a, int t, int bbs_style); /* makes a truly random prime of a given size (bytes), - * call with bbs = 1 if you want it to be congruent to 3 mod 4 + * call with bbs = 1 if you want it to be congruent to 3 mod 4 * * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself @@ -503,10 +506,9 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style); /* makes a truly random prime of a given size (bits), * * Flags are as follows: - * + * * LTM_PRIME_BBS - make prime congruent to 3 mod 4 * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS) - * LTM_PRIME_2MSB_OFF - make the 2nd highest bit zero * LTM_PRIME_2MSB_ON - make the 2nd highest bit one * * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can @@ -534,8 +536,10 @@ int mp_toradix(mp_int *a, char *str, int radix); int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen); int mp_radix_size(mp_int *a, int radix, int *size); +#ifndef LTM_NO_FILE int mp_fread(mp_int *a, int radix, FILE *stream); int mp_fwrite(mp_int *a, int radix, FILE *stream); +#endif #define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len)) #define mp_raw_size(mp) mp_signed_bin_size(mp) @@ -549,31 +553,13 @@ int mp_fwrite(mp_int *a, int radix, FILE *stream); #define mp_todecimal(M, S) mp_toradix((M), (S), 10) #define mp_tohex(M, S) mp_toradix((M), (S), 16) -/* lowlevel functions, do not call! */ -int s_mp_add(mp_int *a, mp_int *b, mp_int *c); -int s_mp_sub(mp_int *a, mp_int *b, mp_int *c); -#define s_mp_mul(a, b, c) s_mp_mul_digs(a, b, c, (a)->used + (b)->used + 1) -int fast_s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -int s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -int fast_s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -int s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -int fast_s_mp_sqr(mp_int *a, mp_int *b); -int s_mp_sqr(mp_int *a, mp_int *b); -int mp_karatsuba_mul(mp_int *a, mp_int *b, mp_int *c); -int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c); -int mp_karatsuba_sqr(mp_int *a, mp_int *b); -int mp_toom_sqr(mp_int *a, mp_int *b); -int fast_mp_invmod(mp_int *a, mp_int *b, mp_int *c); -int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c); -int fast_mp_montgomery_reduce(mp_int *a, mp_int *m, mp_digit mp); -int mp_exptmod_fast(mp_int *G, mp_int *X, mp_int *P, mp_int *Y, int mode); -int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int mode); -void bn_reverse(unsigned char *s, int len); - -extern const char *mp_s_rmap; - #ifdef __cplusplus -} + } #endif #endif + + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/tommath.out b/libtommath/tommath.out deleted file mode 100644 index 9f62617..0000000 --- a/libtommath/tommath.out +++ /dev/null @@ -1,139 +0,0 @@ -\BOOKMARK [0][-]{chapter.1}{Introduction}{} -\BOOKMARK [1][-]{section.1.1}{Multiple Precision Arithmetic}{chapter.1} -\BOOKMARK [2][-]{subsection.1.1.1}{What is Multiple Precision Arithmetic?}{section.1.1} -\BOOKMARK [2][-]{subsection.1.1.2}{The Need for Multiple Precision Arithmetic}{section.1.1} -\BOOKMARK [2][-]{subsection.1.1.3}{Benefits of Multiple Precision Arithmetic}{section.1.1} -\BOOKMARK [1][-]{section.1.2}{Purpose of This Text}{chapter.1} -\BOOKMARK [1][-]{section.1.3}{Discussion and Notation}{chapter.1} -\BOOKMARK [2][-]{subsection.1.3.1}{Notation}{section.1.3} -\BOOKMARK [2][-]{subsection.1.3.2}{Precision Notation}{section.1.3} -\BOOKMARK [2][-]{subsection.1.3.3}{Algorithm Inputs and Outputs}{section.1.3} -\BOOKMARK [2][-]{subsection.1.3.4}{Mathematical Expressions}{section.1.3} -\BOOKMARK [2][-]{subsection.1.3.5}{Work Effort}{section.1.3} -\BOOKMARK [1][-]{section.1.4}{Exercises}{chapter.1} -\BOOKMARK [1][-]{section.1.5}{Introduction to LibTomMath}{chapter.1} -\BOOKMARK [2][-]{subsection.1.5.1}{What is LibTomMath?}{section.1.5} -\BOOKMARK [2][-]{subsection.1.5.2}{Goals of LibTomMath}{section.1.5} -\BOOKMARK [1][-]{section.1.6}{Choice of LibTomMath}{chapter.1} -\BOOKMARK [2][-]{subsection.1.6.1}{Code Base}{section.1.6} -\BOOKMARK [2][-]{subsection.1.6.2}{API Simplicity}{section.1.6} -\BOOKMARK [2][-]{subsection.1.6.3}{Optimizations}{section.1.6} -\BOOKMARK [2][-]{subsection.1.6.4}{Portability and Stability}{section.1.6} -\BOOKMARK [2][-]{subsection.1.6.5}{Choice}{section.1.6} -\BOOKMARK [0][-]{chapter.2}{Getting Started}{} -\BOOKMARK [1][-]{section.2.1}{Library Basics}{chapter.2} -\BOOKMARK [1][-]{section.2.2}{What is a Multiple Precision Integer?}{chapter.2} -\BOOKMARK [2][-]{subsection.2.2.1}{The mp\137int Structure}{section.2.2} -\BOOKMARK [1][-]{section.2.3}{Argument Passing}{chapter.2} -\BOOKMARK [1][-]{section.2.4}{Return Values}{chapter.2} -\BOOKMARK [1][-]{section.2.5}{Initialization and Clearing}{chapter.2} -\BOOKMARK [2][-]{subsection.2.5.1}{Initializing an mp\137int}{section.2.5} -\BOOKMARK [2][-]{subsection.2.5.2}{Clearing an mp\137int}{section.2.5} -\BOOKMARK [1][-]{section.2.6}{Maintenance Algorithms}{chapter.2} -\BOOKMARK [2][-]{subsection.2.6.1}{Augmenting an mp\137int's Precision}{section.2.6} -\BOOKMARK [2][-]{subsection.2.6.2}{Initializing Variable Precision mp\137ints}{section.2.6} -\BOOKMARK [2][-]{subsection.2.6.3}{Multiple Integer Initializations and Clearings}{section.2.6} -\BOOKMARK [2][-]{subsection.2.6.4}{Clamping Excess Digits}{section.2.6} -\BOOKMARK [0][-]{chapter.3}{Basic Operations}{} -\BOOKMARK [1][-]{section.3.1}{Introduction}{chapter.3} -\BOOKMARK [1][-]{section.3.2}{Assigning Values to mp\137int Structures}{chapter.3} -\BOOKMARK [2][-]{subsection.3.2.1}{Copying an mp\137int}{section.3.2} -\BOOKMARK [2][-]{subsection.3.2.2}{Creating a Clone}{section.3.2} -\BOOKMARK [1][-]{section.3.3}{Zeroing an Integer}{chapter.3} -\BOOKMARK [1][-]{section.3.4}{Sign Manipulation}{chapter.3} -\BOOKMARK [2][-]{subsection.3.4.1}{Absolute Value}{section.3.4} -\BOOKMARK [2][-]{subsection.3.4.2}{Integer Negation}{section.3.4} -\BOOKMARK [1][-]{section.3.5}{Small Constants}{chapter.3} -\BOOKMARK [2][-]{subsection.3.5.1}{Setting Small Constants}{section.3.5} -\BOOKMARK [2][-]{subsection.3.5.2}{Setting Large Constants}{section.3.5} -\BOOKMARK [1][-]{section.3.6}{Comparisons}{chapter.3} -\BOOKMARK [2][-]{subsection.3.6.1}{Unsigned Comparisions}{section.3.6} -\BOOKMARK [2][-]{subsection.3.6.2}{Signed Comparisons}{section.3.6} -\BOOKMARK [0][-]{chapter.4}{Basic Arithmetic}{} -\BOOKMARK [1][-]{section.4.1}{Introduction}{chapter.4} -\BOOKMARK [1][-]{section.4.2}{Addition and Subtraction}{chapter.4} -\BOOKMARK [2][-]{subsection.4.2.1}{Low Level Addition}{section.4.2} -\BOOKMARK [2][-]{subsection.4.2.2}{Low Level Subtraction}{section.4.2} -\BOOKMARK [2][-]{subsection.4.2.3}{High Level Addition}{section.4.2} -\BOOKMARK [2][-]{subsection.4.2.4}{High Level Subtraction}{section.4.2} -\BOOKMARK [1][-]{section.4.3}{Bit and Digit Shifting}{chapter.4} -\BOOKMARK [2][-]{subsection.4.3.1}{Multiplication by Two}{section.4.3} -\BOOKMARK [2][-]{subsection.4.3.2}{Division by Two}{section.4.3} -\BOOKMARK [1][-]{section.4.4}{Polynomial Basis Operations}{chapter.4} -\BOOKMARK [2][-]{subsection.4.4.1}{Multiplication by x}{section.4.4} -\BOOKMARK [2][-]{subsection.4.4.2}{Division by x}{section.4.4} -\BOOKMARK [1][-]{section.4.5}{Powers of Two}{chapter.4} -\BOOKMARK [2][-]{subsection.4.5.1}{Multiplication by Power of Two}{section.4.5} -\BOOKMARK [2][-]{subsection.4.5.2}{Division by Power of Two}{section.4.5} -\BOOKMARK [2][-]{subsection.4.5.3}{Remainder of Division by Power of Two}{section.4.5} -\BOOKMARK [0][-]{chapter.5}{Multiplication and Squaring}{} -\BOOKMARK [1][-]{section.5.1}{The Multipliers}{chapter.5} -\BOOKMARK [1][-]{section.5.2}{Multiplication}{chapter.5} -\BOOKMARK [2][-]{subsection.5.2.1}{The Baseline Multiplication}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.2}{Faster Multiplication by the ``Comba'' Method}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.3}{Polynomial Basis Multiplication}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.4}{Karatsuba Multiplication}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.5}{Toom-Cook 3-Way Multiplication}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.6}{Signed Multiplication}{section.5.2} -\BOOKMARK [1][-]{section.5.3}{Squaring}{chapter.5} -\BOOKMARK [2][-]{subsection.5.3.1}{The Baseline Squaring Algorithm}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.2}{Faster Squaring by the ``Comba'' Method}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.3}{Polynomial Basis Squaring}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.4}{Karatsuba Squaring}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.5}{Toom-Cook Squaring}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.6}{High Level Squaring}{section.5.3} -\BOOKMARK [0][-]{chapter.6}{Modular Reduction}{} -\BOOKMARK [1][-]{section.6.1}{Basics of Modular Reduction}{chapter.6} -\BOOKMARK [1][-]{section.6.2}{The Barrett Reduction}{chapter.6} -\BOOKMARK [2][-]{subsection.6.2.1}{Fixed Point Arithmetic}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.2}{Choosing a Radix Point}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.3}{Trimming the Quotient}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.4}{Trimming the Residue}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.5}{The Barrett Algorithm}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.6}{The Barrett Setup Algorithm}{section.6.2} -\BOOKMARK [1][-]{section.6.3}{The Montgomery Reduction}{chapter.6} -\BOOKMARK [2][-]{subsection.6.3.1}{Digit Based Montgomery Reduction}{section.6.3} -\BOOKMARK [2][-]{subsection.6.3.2}{Baseline Montgomery Reduction}{section.6.3} -\BOOKMARK [2][-]{subsection.6.3.3}{Faster ``Comba'' Montgomery Reduction}{section.6.3} -\BOOKMARK [2][-]{subsection.6.3.4}{Montgomery Setup}{section.6.3} -\BOOKMARK [1][-]{section.6.4}{The Diminished Radix Algorithm}{chapter.6} -\BOOKMARK [2][-]{subsection.6.4.1}{Choice of Moduli}{section.6.4} -\BOOKMARK [2][-]{subsection.6.4.2}{Choice of k}{section.6.4} -\BOOKMARK [2][-]{subsection.6.4.3}{Restricted Diminished Radix Reduction}{section.6.4} -\BOOKMARK [2][-]{subsection.6.4.4}{Unrestricted Diminished Radix Reduction}{section.6.4} -\BOOKMARK [1][-]{section.6.5}{Algorithm Comparison}{chapter.6} -\BOOKMARK [0][-]{chapter.7}{Exponentiation}{} -\BOOKMARK [1][-]{section.7.1}{Exponentiation Basics}{chapter.7} -\BOOKMARK [2][-]{subsection.7.1.1}{Single Digit Exponentiation}{section.7.1} -\BOOKMARK [1][-]{section.7.2}{k-ary Exponentiation}{chapter.7} -\BOOKMARK [2][-]{subsection.7.2.1}{Optimal Values of k}{section.7.2} -\BOOKMARK [2][-]{subsection.7.2.2}{Sliding-Window Exponentiation}{section.7.2} -\BOOKMARK [1][-]{section.7.3}{Modular Exponentiation}{chapter.7} -\BOOKMARK [2][-]{subsection.7.3.1}{Barrett Modular Exponentiation}{section.7.3} -\BOOKMARK [1][-]{section.7.4}{Quick Power of Two}{chapter.7} -\BOOKMARK [0][-]{chapter.8}{Higher Level Algorithms}{} -\BOOKMARK [1][-]{section.8.1}{Integer Division with Remainder}{chapter.8} -\BOOKMARK [2][-]{subsection.8.1.1}{Quotient Estimation}{section.8.1} -\BOOKMARK [2][-]{subsection.8.1.2}{Normalized Integers}{section.8.1} -\BOOKMARK [2][-]{subsection.8.1.3}{Radix- Division with Remainder}{section.8.1} -\BOOKMARK [1][-]{section.8.2}{Single Digit Helpers}{chapter.8} -\BOOKMARK [2][-]{subsection.8.2.1}{Single Digit Addition and Subtraction}{section.8.2} -\BOOKMARK [2][-]{subsection.8.2.2}{Single Digit Multiplication}{section.8.2} -\BOOKMARK [2][-]{subsection.8.2.3}{Single Digit Division}{section.8.2} -\BOOKMARK [2][-]{subsection.8.2.4}{Single Digit Root Extraction}{section.8.2} -\BOOKMARK [1][-]{section.8.3}{Random Number Generation}{chapter.8} -\BOOKMARK [1][-]{section.8.4}{Formatted Representations}{chapter.8} -\BOOKMARK [2][-]{subsection.8.4.1}{Reading Radix-n Input}{section.8.4} -\BOOKMARK [2][-]{subsection.8.4.2}{Generating Radix-n Output}{section.8.4} -\BOOKMARK [0][-]{chapter.9}{Number Theoretic Algorithms}{} -\BOOKMARK [1][-]{section.9.1}{Greatest Common Divisor}{chapter.9} -\BOOKMARK [2][-]{subsection.9.1.1}{Complete Greatest Common Divisor}{section.9.1} -\BOOKMARK [1][-]{section.9.2}{Least Common Multiple}{chapter.9} -\BOOKMARK [1][-]{section.9.3}{Jacobi Symbol Computation}{chapter.9} -\BOOKMARK [2][-]{subsection.9.3.1}{Jacobi Symbol}{section.9.3} -\BOOKMARK [1][-]{section.9.4}{Modular Inverse}{chapter.9} -\BOOKMARK [2][-]{subsection.9.4.1}{General Case}{section.9.4} -\BOOKMARK [1][-]{section.9.5}{Primality Tests}{chapter.9} -\BOOKMARK [2][-]{subsection.9.5.1}{Trial Division}{section.9.5} -\BOOKMARK [2][-]{subsection.9.5.2}{The Fermat Test}{section.9.5} -\BOOKMARK [2][-]{subsection.9.5.3}{The Miller-Rabin Test}{section.9.5} diff --git a/libtommath/tommath.pdf b/libtommath/tommath.pdf deleted file mode 100644 index c9571d8..0000000 Binary files a/libtommath/tommath.pdf and /dev/null differ diff --git a/libtommath/tommath.src b/libtommath/tommath.src index 4065822..768ed10 100644 --- a/libtommath/tommath.src +++ b/libtommath/tommath.src @@ -66,31 +66,20 @@ QUALCOMM Australia \\ } } \maketitle -This text has been placed in the public domain. This text corresponds to the v0.39 release of the +This text has been placed in the public domain. This text corresponds to the v0.39 release of the LibTomMath project. -\begin{alltt} -Tom St Denis -111 Banning Rd -Ottawa, Ontario -K2L 1C3 -Canada - -Phone: 1-613-836-3160 -Email: tomstdenis@gmail.com -\end{alltt} - -This text is formatted to the international B5 paper size of 176mm wide by 250mm tall using the \LaTeX{} +This text is formatted to the international B5 paper size of 176mm wide by 250mm tall using the \LaTeX{} {\em book} macro package and the Perl {\em booker} package. \tableofcontents \listoffigures \chapter*{Prefaces} -When I tell people about my LibTom projects and that I release them as public domain they are often puzzled. -They ask why I did it and especially why I continue to work on them for free. The best I can explain it is ``Because I can.'' -Which seems odd and perhaps too terse for adult conversation. I often qualify it with ``I am able, I am willing.'' which +When I tell people about my LibTom projects and that I release them as public domain they are often puzzled. +They ask why I did it and especially why I continue to work on them for free. The best I can explain it is ``Because I can.'' +Which seems odd and perhaps too terse for adult conversation. I often qualify it with ``I am able, I am willing.'' which perhaps explains it better. I am the first to admit there is not anything that special with what I have done. Perhaps -others can see that too and then we would have a society to be proud of. My LibTom projects are what I am doing to give +others can see that too and then we would have a society to be proud of. My LibTom projects are what I am doing to give back to society in the form of tools and knowledge that can help others in their endeavours. I started writing this book because it was the most logical task to further my goal of open academia. The LibTomMath source @@ -103,9 +92,9 @@ from relatively straightforward algebra and I hope that this book can be a valua This book and indeed much of the LibTom projects would not exist in their current form if it was not for a plethora of kind people donating their time, resources and kind words to help support my work. Writing a text of significant length (along with the source code) is a tiresome and lengthy process. Currently the LibTom project is four years old, -comprises of literally thousands of users and over 100,000 lines of source code, TeX and other material. People like Mads and Greg -were there at the beginning to encourage me to work well. It is amazing how timely validation from others can boost morale to -continue the project. Definitely my parents were there for me by providing room and board during the many months of work in 2003. +comprises of literally thousands of users and over 100,000 lines of source code, TeX and other material. People like Mads and Greg +were there at the beginning to encourage me to work well. It is amazing how timely validation from others can boost morale to +continue the project. Definitely my parents were there for me by providing room and board during the many months of work in 2003. To my many friends whom I have met through the years I thank you for the good times and the words of encouragement. I hope I honour your kind gestures with this project. @@ -115,22 +104,22 @@ Open Source. Open Academia. Open Minds. \begin{flushright} Tom St Denis \end{flushright} \newpage -I found the opportunity to work with Tom appealing for several reasons, not only could I broaden my own horizons, but also +I found the opportunity to work with Tom appealing for several reasons, not only could I broaden my own horizons, but also contribute to educate others facing the problem of having to handle big number mathematical calculations. -This book is Tom's child and he has been caring and fostering the project ever since the beginning with a clear mind of -how he wanted the project to turn out. I have helped by proofreading the text and we have had several discussions about +This book is Tom's child and he has been caring and fostering the project ever since the beginning with a clear mind of +how he wanted the project to turn out. I have helped by proofreading the text and we have had several discussions about the layout and language used. -I hold a masters degree in cryptography from the University of Southern Denmark and have always been interested in the -practical aspects of cryptography. +I hold a masters degree in cryptography from the University of Southern Denmark and have always been interested in the +practical aspects of cryptography. -Having worked in the security consultancy business for several years in S\~{a}o Paulo, Brazil, I have been in touch with a -great deal of work in which multiple precision mathematics was needed. Understanding the possibilities for speeding up -multiple precision calculations is often very important since we deal with outdated machine architecture where modular +Having worked in the security consultancy business for several years in S\~{a}o Paulo, Brazil, I have been in touch with a +great deal of work in which multiple precision mathematics was needed. Understanding the possibilities for speeding up +multiple precision calculations is often very important since we deal with outdated machine architecture where modular reductions, for example, become painfully slow. -This text is for people who stop and wonder when first examining algorithms such as RSA for the first time and asks +This text is for people who stop and wonder when first examining algorithms such as RSA for the first time and asks themselves, ``You tell me this is only secure for large numbers, fine; but how do you implement these numbers?'' \begin{flushright} @@ -142,22 +131,22 @@ Brazil \end{flushright} \newpage -It's all because I broke my leg. That just happened to be at about the same time that Tom asked for someone to review the section of the book about -Karatsuba multiplication. I was laid up, alone and immobile, and thought ``Why not?'' I vaguely knew what Karatsuba multiplication was, but not +It's all because I broke my leg. That just happened to be at about the same time that Tom asked for someone to review the section of the book about +Karatsuba multiplication. I was laid up, alone and immobile, and thought ``Why not?'' I vaguely knew what Karatsuba multiplication was, but not really, so I thought I could help, learn, and stop myself from watching daytime cable TV, all at once. -At the time of writing this, I've still not met Tom or Mads in meatspace. I've been following Tom's progress since his first splash on the +At the time of writing this, I've still not met Tom or Mads in meatspace. I've been following Tom's progress since his first splash on the sci.crypt Usenet news group. I watched him go from a clueless newbie, to the cryptographic equivalent of a reformed smoker, to a real -contributor to the field, over a period of about two years. I've been impressed with his obvious intelligence, and astounded by his productivity. +contributor to the field, over a period of about two years. I've been impressed with his obvious intelligence, and astounded by his productivity. Of course, he's young enough to be my own child, so he doesn't have my problems with staying awake. -When I reviewed that single section of the book, in its very earliest form, I was very pleasantly surprised. So I decided to collaborate more fully, -and at least review all of it, and perhaps write some bits too. There's still a long way to go with it, and I have watched a number of close -friends go through the mill of publication, so I think that the way to go is longer than Tom thinks it is. Nevertheless, it's a good effort, +When I reviewed that single section of the book, in its very earliest form, I was very pleasantly surprised. So I decided to collaborate more fully, +and at least review all of it, and perhaps write some bits too. There's still a long way to go with it, and I have watched a number of close +friends go through the mill of publication, so I think that the way to go is longer than Tom thinks it is. Nevertheless, it's a good effort, and I'm pleased to be involved with it. \begin{flushright} -Greg Rose, Sydney, Australia, June 2003. +Greg Rose, Sydney, Australia, June 2003. \end{flushright} \mainmatter @@ -167,23 +156,23 @@ Greg Rose, Sydney, Australia, June 2003. \subsection{What is Multiple Precision Arithmetic?} When we think of long-hand arithmetic such as addition or multiplication we rarely consider the fact that we instinctively -raise or lower the precision of the numbers we are dealing with. For example, in decimal we almost immediate can -reason that $7$ times $6$ is $42$. However, $42$ has two digits of precision as opposed to one digit we started with. -Further multiplications of say $3$ result in a larger precision result $126$. In these few examples we have multiple +raise or lower the precision of the numbers we are dealing with. For example, in decimal we almost immediate can +reason that $7$ times $6$ is $42$. However, $42$ has two digits of precision as opposed to one digit we started with. +Further multiplications of say $3$ result in a larger precision result $126$. In these few examples we have multiple precisions for the numbers we are working with. Despite the various levels of precision a single subset\footnote{With the occasional optimization.} - of algorithms can be designed to accomodate them. + of algorithms can be designed to accomodate them. By way of comparison a fixed or single precision operation would lose precision on various operations. For example, in the decimal system with fixed precision $6 \cdot 7 = 2$. Essentially at the heart of computer based multiple precision arithmetic are the same long-hand algorithms taught in -schools to manually add, subtract, multiply and divide. +schools to manually add, subtract, multiply and divide. \subsection{The Need for Multiple Precision Arithmetic} The most prevalent need for multiple precision arithmetic, often referred to as ``bignum'' math, is within the implementation -of public-key cryptography algorithms. Algorithms such as RSA \cite{RSAREF} and Diffie-Hellman \cite{DHREF} require -integers of significant magnitude to resist known cryptanalytic attacks. For example, at the time of this writing a -typical RSA modulus would be at least greater than $10^{309}$. However, modern programming languages such as ISO C \cite{ISOC} and +of public-key cryptography algorithms. Algorithms such as RSA \cite{RSAREF} and Diffie-Hellman \cite{DHREF} require +integers of significant magnitude to resist known cryptanalytic attacks. For example, at the time of this writing a +typical RSA modulus would be at least greater than $10^{309}$. However, modern programming languages such as ISO C \cite{ISOC} and Java \cite{JAVA} only provide instrinsic support for integers which are relatively small and single precision. \begin{figure}[!here] @@ -201,27 +190,27 @@ Java \cite{JAVA} only provide instrinsic support for integers which are relative \label{fig:ISOC} \end{figure} -The largest data type guaranteed to be provided by the ISO C programming -language\footnote{As per the ISO C standard. However, each compiler vendor is allowed to augment the precision as they -see fit.} can only represent values up to $10^{19}$ as shown in figure \ref{fig:ISOC}. On its own the C language is -insufficient to accomodate the magnitude required for the problem at hand. An RSA modulus of magnitude $10^{19}$ could be -trivially factored\footnote{A Pollard-Rho factoring would take only $2^{16}$ time.} on the average desktop computer, -rendering any protocol based on the algorithm insecure. Multiple precision algorithms solve this very problem by +The largest data type guaranteed to be provided by the ISO C programming +language\footnote{As per the ISO C standard. However, each compiler vendor is allowed to augment the precision as they +see fit.} can only represent values up to $10^{19}$ as shown in figure \ref{fig:ISOC}. On its own the C language is +insufficient to accomodate the magnitude required for the problem at hand. An RSA modulus of magnitude $10^{19}$ could be +trivially factored\footnote{A Pollard-Rho factoring would take only $2^{16}$ time.} on the average desktop computer, +rendering any protocol based on the algorithm insecure. Multiple precision algorithms solve this very problem by extending the range of representable integers while using single precision data types. -Most advancements in fast multiple precision arithmetic stem from the need for faster and more efficient cryptographic -primitives. Faster modular reduction and exponentiation algorithms such as Barrett's algorithm, which have appeared in -various cryptographic journals, can render algorithms such as RSA and Diffie-Hellman more efficient. In fact, several -major companies such as RSA Security, Certicom and Entrust have built entire product lines on the implementation and +Most advancements in fast multiple precision arithmetic stem from the need for faster and more efficient cryptographic +primitives. Faster modular reduction and exponentiation algorithms such as Barrett's algorithm, which have appeared in +various cryptographic journals, can render algorithms such as RSA and Diffie-Hellman more efficient. In fact, several +major companies such as RSA Security, Certicom and Entrust have built entire product lines on the implementation and deployment of efficient algorithms. -However, cryptography is not the only field of study that can benefit from fast multiple precision integer routines. -Another auxiliary use of multiple precision integers is high precision floating point data types. -The basic IEEE \cite{IEEE} standard floating point type is made up of an integer mantissa $q$, an exponent $e$ and a sign bit $s$. -Numbers are given in the form $n = q \cdot b^e \cdot -1^s$ where $b = 2$ is the most common base for IEEE. Since IEEE -floating point is meant to be implemented in hardware the precision of the mantissa is often fairly small +However, cryptography is not the only field of study that can benefit from fast multiple precision integer routines. +Another auxiliary use of multiple precision integers is high precision floating point data types. +The basic IEEE \cite{IEEE} standard floating point type is made up of an integer mantissa $q$, an exponent $e$ and a sign bit $s$. +Numbers are given in the form $n = q \cdot b^e \cdot -1^s$ where $b = 2$ is the most common base for IEEE. Since IEEE +floating point is meant to be implemented in hardware the precision of the mantissa is often fairly small (\textit{23, 48 and 64 bits}). The mantissa is merely an integer and a multiple precision integer could be used to create -a mantissa of much larger precision than hardware alone can efficiently support. This approach could be useful where +a mantissa of much larger precision than hardware alone can efficiently support. This approach could be useful where scientific applications must minimize the total output error over long calculations. Yet another use for large integers is within arithmetic on polynomials of large characteristic (i.e. $GF(p)[x]$ for large $p$). @@ -229,152 +218,152 @@ In fact the library discussed within this text has already been used to form a p \subsection{Benefits of Multiple Precision Arithmetic} \index{precision} -The benefit of multiple precision representations over single or fixed precision representations is that -no precision is lost while representing the result of an operation which requires excess precision. For example, -the product of two $n$-bit integers requires at least $2n$ bits of precision to be represented faithfully. A multiple -precision algorithm would augment the precision of the destination to accomodate the result while a single precision system +The benefit of multiple precision representations over single or fixed precision representations is that +no precision is lost while representing the result of an operation which requires excess precision. For example, +the product of two $n$-bit integers requires at least $2n$ bits of precision to be represented faithfully. A multiple +precision algorithm would augment the precision of the destination to accomodate the result while a single precision system would truncate excess bits to maintain a fixed level of precision. It is possible to implement algorithms which require large integers with fixed precision algorithms. For example, elliptic -curve cryptography (\textit{ECC}) is often implemented on smartcards by fixing the precision of the integers to the maximum -size the system will ever need. Such an approach can lead to vastly simpler algorithms which can accomodate the -integers required even if the host platform cannot natively accomodate them\footnote{For example, the average smartcard +curve cryptography (\textit{ECC}) is often implemented on smartcards by fixing the precision of the integers to the maximum +size the system will ever need. Such an approach can lead to vastly simpler algorithms which can accomodate the +integers required even if the host platform cannot natively accomodate them\footnote{For example, the average smartcard processor has an 8 bit accumulator.}. However, as efficient as such an approach may be, the resulting source code is not normally very flexible. It cannot, at runtime, accomodate inputs of higher magnitude than the designer anticipated. -Multiple precision algorithms have the most overhead of any style of arithmetic. For the the most part the +Multiple precision algorithms have the most overhead of any style of arithmetic. For the the most part the overhead can be kept to a minimum with careful planning, but overall, it is not well suited for most memory starved -platforms. However, multiple precision algorithms do offer the most flexibility in terms of the magnitude of the -inputs. That is, the same algorithms based on multiple precision integers can accomodate any reasonable size input -without the designer's explicit forethought. This leads to lower cost of ownership for the code as it only has to +platforms. However, multiple precision algorithms do offer the most flexibility in terms of the magnitude of the +inputs. That is, the same algorithms based on multiple precision integers can accomodate any reasonable size input +without the designer's explicit forethought. This leads to lower cost of ownership for the code as it only has to be written and tested once. \section{Purpose of This Text} -The purpose of this text is to instruct the reader regarding how to implement efficient multiple precision algorithms. -That is to not only explain a limited subset of the core theory behind the algorithms but also the various ``house keeping'' -elements that are neglected by authors of other texts on the subject. Several well reknowned texts \cite{TAOCPV2,HAC} -give considerably detailed explanations of the theoretical aspects of algorithms and often very little information -regarding the practical implementation aspects. - -In most cases how an algorithm is explained and how it is actually implemented are two very different concepts. For -example, the Handbook of Applied Cryptography (\textit{HAC}), algorithm 14.7 on page 594, gives a relatively simple -algorithm for performing multiple precision integer addition. However, the description lacks any discussion concerning +The purpose of this text is to instruct the reader regarding how to implement efficient multiple precision algorithms. +That is to not only explain a limited subset of the core theory behind the algorithms but also the various ``house keeping'' +elements that are neglected by authors of other texts on the subject. Several well reknowned texts \cite{TAOCPV2,HAC} +give considerably detailed explanations of the theoretical aspects of algorithms and often very little information +regarding the practical implementation aspects. + +In most cases how an algorithm is explained and how it is actually implemented are two very different concepts. For +example, the Handbook of Applied Cryptography (\textit{HAC}), algorithm 14.7 on page 594, gives a relatively simple +algorithm for performing multiple precision integer addition. However, the description lacks any discussion concerning the fact that the two integer inputs may be of differing magnitudes. As a result the implementation is not as simple -as the text would lead people to believe. Similarly the division routine (\textit{algorithm 14.20, pp. 598}) does not +as the text would lead people to believe. Similarly the division routine (\textit{algorithm 14.20, pp. 598}) does not discuss how to handle sign or handle the dividend's decreasing magnitude in the main loop (\textit{step \#3}). -Both texts also do not discuss several key optimal algorithms required such as ``Comba'' and Karatsuba multipliers -and fast modular inversion, which we consider practical oversights. These optimal algorithms are vital to achieve -any form of useful performance in non-trivial applications. +Both texts also do not discuss several key optimal algorithms required such as ``Comba'' and Karatsuba multipliers +and fast modular inversion, which we consider practical oversights. These optimal algorithms are vital to achieve +any form of useful performance in non-trivial applications. To solve this problem the focus of this text is on the practical aspects of implementing a multiple precision integer -package. As a case study the ``LibTomMath''\footnote{Available at \url{http://math.libtomcrypt.com}} package is used -to demonstrate algorithms with real implementations\footnote{In the ISO C programming language.} that have been field -tested and work very well. The LibTomMath library is freely available on the Internet for all uses and this text +package. As a case study the ``LibTomMath''\footnote{Available at \url{http://math.libtomcrypt.com}} package is used +to demonstrate algorithms with real implementations\footnote{In the ISO C programming language.} that have been field +tested and work very well. The LibTomMath library is freely available on the Internet for all uses and this text discusses a very large portion of the inner workings of the library. -The algorithms that are presented will always include at least one ``pseudo-code'' description followed -by the actual C source code that implements the algorithm. The pseudo-code can be used to implement the same -algorithm in other programming languages as the reader sees fit. +The algorithms that are presented will always include at least one ``pseudo-code'' description followed +by the actual C source code that implements the algorithm. The pseudo-code can be used to implement the same +algorithm in other programming languages as the reader sees fit. This text shall also serve as a walkthrough of the creation of multiple precision algorithms from scratch. Showing -the reader how the algorithms fit together as well as where to start on various taskings. +the reader how the algorithms fit together as well as where to start on various taskings. \section{Discussion and Notation} \subsection{Notation} A multiple precision integer of $n$-digits shall be denoted as $x = (x_{n-1}, \ldots, x_1, x_0)_{ \beta }$ and represent -the integer $x \equiv \sum_{i=0}^{n-1} x_i\beta^i$. The elements of the array $x$ are said to be the radix $\beta$ digits -of the integer. For example, $x = (1,2,3)_{10}$ would represent the integer -$1\cdot 10^2 + 2\cdot10^1 + 3\cdot10^0 = 123$. +the integer $x \equiv \sum_{i=0}^{n-1} x_i\beta^i$. The elements of the array $x$ are said to be the radix $\beta$ digits +of the integer. For example, $x = (1,2,3)_{10}$ would represent the integer +$1\cdot 10^2 + 2\cdot10^1 + 3\cdot10^0 = 123$. \index{mp\_int} -The term ``mp\_int'' shall refer to a composite structure which contains the digits of the integer it represents, as well -as auxilary data required to manipulate the data. These additional members are discussed further in section -\ref{sec:MPINT}. For the purposes of this text a ``multiple precision integer'' and an ``mp\_int'' are assumed to be -synonymous. When an algorithm is specified to accept an mp\_int variable it is assumed the various auxliary data members -are present as well. An expression of the type \textit{variablename.item} implies that it should evaluate to the -member named ``item'' of the variable. For example, a string of characters may have a member ``length'' which would -evaluate to the number of characters in the string. If the string $a$ equals ``hello'' then it follows that -$a.length = 5$. +The term ``mp\_int'' shall refer to a composite structure which contains the digits of the integer it represents, as well +as auxilary data required to manipulate the data. These additional members are discussed further in section +\ref{sec:MPINT}. For the purposes of this text a ``multiple precision integer'' and an ``mp\_int'' are assumed to be +synonymous. When an algorithm is specified to accept an mp\_int variable it is assumed the various auxliary data members +are present as well. An expression of the type \textit{variablename.item} implies that it should evaluate to the +member named ``item'' of the variable. For example, a string of characters may have a member ``length'' which would +evaluate to the number of characters in the string. If the string $a$ equals ``hello'' then it follows that +$a.length = 5$. For certain discussions more generic algorithms are presented to help the reader understand the final algorithm used -to solve a given problem. When an algorithm is described as accepting an integer input it is assumed the input is -a plain integer with no additional multiple-precision members. That is, algorithms that use integers as opposed to -mp\_ints as inputs do not concern themselves with the housekeeping operations required such as memory management. These +to solve a given problem. When an algorithm is described as accepting an integer input it is assumed the input is +a plain integer with no additional multiple-precision members. That is, algorithms that use integers as opposed to +mp\_ints as inputs do not concern themselves with the housekeeping operations required such as memory management. These algorithms will be used to establish the relevant theory which will subsequently be used to describe a multiple -precision algorithm to solve the same problem. +precision algorithm to solve the same problem. \subsection{Precision Notation} -The variable $\beta$ represents the radix of a single digit of a multiple precision integer and -must be of the form $q^p$ for $q, p \in \Z^+$. A single precision variable must be able to represent integers in -the range $0 \le x < q \beta$ while a double precision variable must be able to represent integers in the range -$0 \le x < q \beta^2$. The extra radix-$q$ factor allows additions and subtractions to proceed without truncation of the +The variable $\beta$ represents the radix of a single digit of a multiple precision integer and +must be of the form $q^p$ for $q, p \in \Z^+$. A single precision variable must be able to represent integers in +the range $0 \le x < q \beta$ while a double precision variable must be able to represent integers in the range +$0 \le x < q \beta^2$. The extra radix-$q$ factor allows additions and subtractions to proceed without truncation of the carry. Since all modern computers are binary, it is assumed that $q$ is two. \index{mp\_digit} \index{mp\_word} -Within the source code that will be presented for each algorithm, the data type \textbf{mp\_digit} will represent -a single precision integer type, while, the data type \textbf{mp\_word} will represent a double precision integer type. In -several algorithms (notably the Comba routines) temporary results will be stored in arrays of double precision mp\_words. -For the purposes of this text $x_j$ will refer to the $j$'th digit of a single precision array and $\hat x_j$ will refer to +Within the source code that will be presented for each algorithm, the data type \textbf{mp\_digit} will represent +a single precision integer type, while, the data type \textbf{mp\_word} will represent a double precision integer type. In +several algorithms (notably the Comba routines) temporary results will be stored in arrays of double precision mp\_words. +For the purposes of this text $x_j$ will refer to the $j$'th digit of a single precision array and $\hat x_j$ will refer to the $j$'th digit of a double precision array. Whenever an expression is to be assigned to a double precision -variable it is assumed that all single precision variables are promoted to double precision during the evaluation. +variable it is assumed that all single precision variables are promoted to double precision during the evaluation. Expressions that are assigned to a single precision variable are truncated to fit within the precision of a single precision data type. -For example, if $\beta = 10^2$ a single precision data type may represent a value in the +For example, if $\beta = 10^2$ a single precision data type may represent a value in the range $0 \le x < 10^3$, while a double precision data type may represent a value in the range $0 \le x < 10^5$. Let $a = 23$ and $b = 49$ represent two single precision variables. The single precision product shall be written as $c \leftarrow a \cdot b$ while the double precision product shall be written as $\hat c \leftarrow a \cdot b$. -In this particular case, $\hat c = 1127$ and $c = 127$. The most significant digit of the product would not fit -in a single precision data type and as a result $c \ne \hat c$. +In this particular case, $\hat c = 1127$ and $c = 127$. The most significant digit of the product would not fit +in a single precision data type and as a result $c \ne \hat c$. \subsection{Algorithm Inputs and Outputs} Within the algorithm descriptions all variables are assumed to be scalars of either single or double precision -as indicated. The only exception to this rule is when variables have been indicated to be of type mp\_int. This -distinction is important as scalars are often used as array indicies and various other counters. +as indicated. The only exception to this rule is when variables have been indicated to be of type mp\_int. This +distinction is important as scalars are often used as array indicies and various other counters. \subsection{Mathematical Expressions} -The $\lfloor \mbox{ } \rfloor$ brackets imply an expression truncated to an integer not greater than the expression +The $\lfloor \mbox{ } \rfloor$ brackets imply an expression truncated to an integer not greater than the expression itself. For example, $\lfloor 5.7 \rfloor = 5$. Similarly the $\lceil \mbox{ } \rceil$ brackets imply an expression -rounded to an integer not less than the expression itself. For example, $\lceil 5.1 \rceil = 6$. Typically when -the $/$ division symbol is used the intention is to perform an integer division with truncation. For example, -$5/2 = 2$ which will often be written as $\lfloor 5/2 \rfloor = 2$ for clarity. When an expression is written as a -fraction a real value division is implied, for example ${5 \over 2} = 2.5$. +rounded to an integer not less than the expression itself. For example, $\lceil 5.1 \rceil = 6$. Typically when +the $/$ division symbol is used the intention is to perform an integer division with truncation. For example, +$5/2 = 2$ which will often be written as $\lfloor 5/2 \rfloor = 2$ for clarity. When an expression is written as a +fraction a real value division is implied, for example ${5 \over 2} = 2.5$. The norm of a multiple precision integer, for example $\vert \vert x \vert \vert$, will be used to represent the number of digits in the representation -of the integer. For example, $\vert \vert 123 \vert \vert = 3$ and $\vert \vert 79452 \vert \vert = 5$. +of the integer. For example, $\vert \vert 123 \vert \vert = 3$ and $\vert \vert 79452 \vert \vert = 5$. \subsection{Work Effort} \index{big-Oh} -To measure the efficiency of the specified algorithms, a modified big-Oh notation is used. In this system all -single precision operations are considered to have the same cost\footnote{Except where explicitly noted.}. -That is a single precision addition, multiplication and division are assumed to take the same time to +To measure the efficiency of the specified algorithms, a modified big-Oh notation is used. In this system all +single precision operations are considered to have the same cost\footnote{Except where explicitly noted.}. +That is a single precision addition, multiplication and division are assumed to take the same time to complete. While this is generally not true in practice, it will simplify the discussions considerably. -Some algorithms have slight advantages over others which is why some constants will not be removed in -the notation. For example, a normal baseline multiplication (section \ref{sec:basemult}) requires $O(n^2)$ work while a -baseline squaring (section \ref{sec:basesquare}) requires $O({{n^2 + n}\over 2})$ work. In standard big-Oh notation these -would both be said to be equivalent to $O(n^2)$. However, -in the context of the this text this is not the case as the magnitude of the inputs will typically be rather small. As a +Some algorithms have slight advantages over others which is why some constants will not be removed in +the notation. For example, a normal baseline multiplication (section \ref{sec:basemult}) requires $O(n^2)$ work while a +baseline squaring (section \ref{sec:basesquare}) requires $O({{n^2 + n}\over 2})$ work. In standard big-Oh notation these +would both be said to be equivalent to $O(n^2)$. However, +in the context of the this text this is not the case as the magnitude of the inputs will typically be rather small. As a result small constant factors in the work effort will make an observable difference in algorithm efficiency. -All of the algorithms presented in this text have a polynomial time work level. That is, of the form -$O(n^k)$ for $n, k \in \Z^{+}$. This will help make useful comparisons in terms of the speed of the algorithms and how +All of the algorithms presented in this text have a polynomial time work level. That is, of the form +$O(n^k)$ for $n, k \in \Z^{+}$. This will help make useful comparisons in terms of the speed of the algorithms and how various optimizations will help pay off in the long run. \section{Exercises} Within the more advanced chapters a section will be set aside to give the reader some challenging exercises related to -the discussion at hand. These exercises are not designed to be prize winning problems, but instead to be thought -provoking. Wherever possible the problems are forward minded, stating problems that will be answered in subsequent -chapters. The reader is encouraged to finish the exercises as they appear to get a better understanding of the -subject material. +the discussion at hand. These exercises are not designed to be prize winning problems, but instead to be thought +provoking. Wherever possible the problems are forward minded, stating problems that will be answered in subsequent +chapters. The reader is encouraged to finish the exercises as they appear to get a better understanding of the +subject material. That being said, the problems are designed to affirm knowledge of a particular subject matter. Students in particular are encouraged to verify they can answer the problems correctly before moving on. Similar to the exercises of \cite[pp. ix]{TAOCPV2} these exercises are given a scoring system based on the difficulty of -the problem. However, unlike \cite{TAOCPV2} the problems do not get nearly as hard. The scoring of these -exercises ranges from one (the easiest) to five (the hardest). The following table sumarizes the +the problem. However, unlike \cite{TAOCPV2} the problems do not get nearly as hard. The scoring of these +exercises ranges from one (the easiest) to five (the hardest). The following table sumarizes the scoring system used. \begin{figure}[here] @@ -404,21 +393,21 @@ scoring system used. \end{figure} Problems at the first level are meant to be simple questions that the reader can answer quickly without programming a solution or -devising new theory. These problems are quick tests to see if the material is understood. Problems at the second level +devising new theory. These problems are quick tests to see if the material is understood. Problems at the second level are also designed to be easy but will require a program or algorithm to be implemented to arrive at the answer. These -two levels are essentially entry level questions. +two levels are essentially entry level questions. -Problems at the third level are meant to be a bit more difficult than the first two levels. The answer is often -fairly obvious but arriving at an exacting solution requires some thought and skill. These problems will almost always +Problems at the third level are meant to be a bit more difficult than the first two levels. The answer is often +fairly obvious but arriving at an exacting solution requires some thought and skill. These problems will almost always involve devising a new algorithm or implementing a variation of another algorithm previously presented. Readers who can answer these questions will feel comfortable with the concepts behind the topic at hand. -Problems at the fourth level are meant to be similar to those of the level three questions except they will require -additional research to be completed. The reader will most likely not know the answer right away, nor will the text provide -the exact details of the answer until a subsequent chapter. +Problems at the fourth level are meant to be similar to those of the level three questions except they will require +additional research to be completed. The reader will most likely not know the answer right away, nor will the text provide +the exact details of the answer until a subsequent chapter. -Problems at the fifth level are meant to be the hardest -problems relative to all the other problems in the chapter. People who can correctly answer fifth level problems have a +Problems at the fifth level are meant to be the hardest +problems relative to all the other problems in the chapter. People who can correctly answer fifth level problems have a mastery of the subject matter at hand. Often problems will be tied together. The purpose of this is to start a chain of thought that will be discussed in future chapters. The reader @@ -427,43 +416,43 @@ is encouraged to answer the follow-up problems and try to draw the relevance of \section{Introduction to LibTomMath} \subsection{What is LibTomMath?} -LibTomMath is a free and open source multiple precision integer library written entirely in portable ISO C. By portable it -is meant that the library does not contain any code that is computer platform dependent or otherwise problematic to use on -any given platform. +LibTomMath is a free and open source multiple precision integer library written entirely in portable ISO C. By portable it +is meant that the library does not contain any code that is computer platform dependent or otherwise problematic to use on +any given platform. The library has been successfully tested under numerous operating systems including Unix\footnote{All of these -trademarks belong to their respective rightful owners.}, MacOS, Windows, Linux, PalmOS and on standalone hardware such -as the Gameboy Advance. The library is designed to contain enough functionality to be able to develop applications such +trademarks belong to their respective rightful owners.}, MacOS, Windows, Linux, PalmOS and on standalone hardware such +as the Gameboy Advance. The library is designed to contain enough functionality to be able to develop applications such as public key cryptosystems and still maintain a relatively small footprint. \subsection{Goals of LibTomMath} -Libraries which obtain the most efficiency are rarely written in a high level programming language such as C. However, -even though this library is written entirely in ISO C, considerable care has been taken to optimize the algorithm implementations within the -library. Specifically the code has been written to work well with the GNU C Compiler (\textit{GCC}) on both x86 and ARM -processors. Wherever possible, highly efficient algorithms, such as Karatsuba multiplication, sliding window -exponentiation and Montgomery reduction have been provided to make the library more efficient. +Libraries which obtain the most efficiency are rarely written in a high level programming language such as C. However, +even though this library is written entirely in ISO C, considerable care has been taken to optimize the algorithm implementations within the +library. Specifically the code has been written to work well with the GNU C Compiler (\textit{GCC}) on both x86 and ARM +processors. Wherever possible, highly efficient algorithms, such as Karatsuba multiplication, sliding window +exponentiation and Montgomery reduction have been provided to make the library more efficient. -Even with the nearly optimal and specialized algorithms that have been included the Application Programing Interface -(\textit{API}) has been kept as simple as possible. Often generic place holder routines will make use of specialized -algorithms automatically without the developer's specific attention. One such example is the generic multiplication -algorithm \textbf{mp\_mul()} which will automatically use Toom--Cook, Karatsuba, Comba or baseline multiplication -based on the magnitude of the inputs and the configuration of the library. +Even with the nearly optimal and specialized algorithms that have been included the Application Programing Interface +(\textit{API}) has been kept as simple as possible. Often generic place holder routines will make use of specialized +algorithms automatically without the developer's specific attention. One such example is the generic multiplication +algorithm \textbf{mp\_mul()} which will automatically use Toom--Cook, Karatsuba, Comba or baseline multiplication +based on the magnitude of the inputs and the configuration of the library. -Making LibTomMath as efficient as possible is not the only goal of the LibTomMath project. Ideally the library should +Making LibTomMath as efficient as possible is not the only goal of the LibTomMath project. Ideally the library should be source compatible with another popular library which makes it more attractive for developers to use. In this case the -MPI library was used as a API template for all the basic functions. MPI was chosen because it is another library that fits -in the same niche as LibTomMath. Even though LibTomMath uses MPI as the template for the function names and argument +MPI library was used as a API template for all the basic functions. MPI was chosen because it is another library that fits +in the same niche as LibTomMath. Even though LibTomMath uses MPI as the template for the function names and argument passing conventions, it has been written from scratch by Tom St Denis. -The project is also meant to act as a learning tool for students, the logic being that no easy-to-follow ``bignum'' -library exists which can be used to teach computer science students how to perform fast and reliable multiple precision -integer arithmetic. To this end the source code has been given quite a few comments and algorithm discussion points. +The project is also meant to act as a learning tool for students, the logic being that no easy-to-follow ``bignum'' +library exists which can be used to teach computer science students how to perform fast and reliable multiple precision +integer arithmetic. To this end the source code has been given quite a few comments and algorithm discussion points. \section{Choice of LibTomMath} LibTomMath was chosen as the case study of this text not only because the author of both projects is one and the same but -for more worthy reasons. Other libraries such as GMP \cite{GMP}, MPI \cite{MPI}, LIP \cite{LIP} and OpenSSL -\cite{OPENSSL} have multiple precision integer arithmetic routines but would not be ideal for this text for +for more worthy reasons. Other libraries such as GMP \cite{GMP}, MPI \cite{MPI}, LIP \cite{LIP} and OpenSSL +\cite{OPENSSL} have multiple precision integer arithmetic routines but would not be ideal for this text for reasons that will be explained in the following sub-sections. \subsection{Code Base} @@ -472,115 +461,115 @@ segments of code littered throughout the source. This clean and uncluttered app developer can more readily discern the true intent of a given section of source code without trying to keep track of what conditional code will be used. -The code base of LibTomMath is well organized. Each function is in its own separate source code file +The code base of LibTomMath is well organized. Each function is in its own separate source code file which allows the reader to find a given function very quickly. On average there are $76$ lines of code per source file which makes the source very easily to follow. By comparison MPI and LIP are single file projects making code tracing -very hard. GMP has many conditional code segments which also hinder tracing. +very hard. GMP has many conditional code segments which also hinder tracing. When compiled with GCC for the x86 processor and optimized for speed the entire library is approximately $100$KiB\footnote{The notation ``KiB'' means $2^{10}$ octets, similarly ``MiB'' means $2^{20}$ octets.} - which is fairly small compared to GMP (over $250$KiB). LibTomMath is slightly larger than MPI (which compiles to about + which is fairly small compared to GMP (over $250$KiB). LibTomMath is slightly larger than MPI (which compiles to about $50$KiB) but LibTomMath is also much faster and more complete than MPI. \subsection{API Simplicity} -LibTomMath is designed after the MPI library and shares the API design. Quite often programs that use MPI will build -with LibTomMath without change. The function names correlate directly to the action they perform. Almost all of the -functions share the same parameter passing convention. The learning curve is fairly shallow with the API provided -which is an extremely valuable benefit for the student and developer alike. +LibTomMath is designed after the MPI library and shares the API design. Quite often programs that use MPI will build +with LibTomMath without change. The function names correlate directly to the action they perform. Almost all of the +functions share the same parameter passing convention. The learning curve is fairly shallow with the API provided +which is an extremely valuable benefit for the student and developer alike. -The LIP library is an example of a library with an API that is awkward to work with. LIP uses function names that are often ``compressed'' to -illegible short hand. LibTomMath does not share this characteristic. +The LIP library is an example of a library with an API that is awkward to work with. LIP uses function names that are often ``compressed'' to +illegible short hand. LibTomMath does not share this characteristic. The GMP library also does not return error codes. Instead it uses a POSIX.1 \cite{POSIX1} signal system where errors are signaled to the host application. This happens to be the fastest approach but definitely not the most versatile. In -effect a math error (i.e. invalid input, heap error, etc) can cause a program to stop functioning which is definitely +effect a math error (i.e. invalid input, heap error, etc) can cause a program to stop functioning which is definitely undersireable in many situations. \subsection{Optimizations} While LibTomMath is certainly not the fastest library (GMP often beats LibTomMath by a factor of two) it does -feature a set of optimal algorithms for tasks such as modular reduction, exponentiation, multiplication and squaring. GMP +feature a set of optimal algorithms for tasks such as modular reduction, exponentiation, multiplication and squaring. GMP and LIP also feature such optimizations while MPI only uses baseline algorithms with no optimizations. GMP lacks a few of the additional modular reduction optimizations that LibTomMath features\footnote{At the time of this writing GMP -only had Barrett and Montgomery modular reduction algorithms.}. +only had Barrett and Montgomery modular reduction algorithms.}. LibTomMath is almost always an order of magnitude faster than the MPI library at computationally expensive tasks such as modular -exponentiation. In the grand scheme of ``bignum'' libraries LibTomMath is faster than the average library and usually +exponentiation. In the grand scheme of ``bignum'' libraries LibTomMath is faster than the average library and usually slower than the best libraries such as GMP and OpenSSL by only a small factor. \subsection{Portability and Stability} -LibTomMath will build ``out of the box'' on any platform equipped with a modern version of the GNU C Compiler -(\textit{GCC}). This means that without changes the library will build without configuration or setting up any -variables. LIP and MPI will build ``out of the box'' as well but have numerous known bugs. Most notably the author of -MPI has recently stopped working on his library and LIP has long since been discontinued. +LibTomMath will build ``out of the box'' on any platform equipped with a modern version of the GNU C Compiler +(\textit{GCC}). This means that without changes the library will build without configuration or setting up any +variables. LIP and MPI will build ``out of the box'' as well but have numerous known bugs. Most notably the author of +MPI has recently stopped working on his library and LIP has long since been discontinued. GMP requires a configuration script to run and will not build out of the box. GMP and LibTomMath are still in active development and are very stable across a variety of platforms. \subsection{Choice} LibTomMath is a relatively compact, well documented, highly optimized and portable library which seems only natural for -the case study of this text. Various source files from the LibTomMath project will be included within the text. However, -the reader is encouraged to download their own copy of the library to actually be able to work with the library. +the case study of this text. Various source files from the LibTomMath project will be included within the text. However, +the reader is encouraged to download their own copy of the library to actually be able to work with the library. \chapter{Getting Started} \section{Library Basics} -The trick to writing any useful library of source code is to build a solid foundation and work outwards from it. First, -a problem along with allowable solution parameters should be identified and analyzed. In this particular case the +The trick to writing any useful library of source code is to build a solid foundation and work outwards from it. First, +a problem along with allowable solution parameters should be identified and analyzed. In this particular case the inability to accomodate multiple precision integers is the problem. Futhermore, the solution must be written as portable source code that is reasonably efficient across several different computer platforms. -After a foundation is formed the remainder of the library can be designed and implemented in a hierarchical fashion. -That is, to implement the lowest level dependencies first and work towards the most abstract functions last. For example, +After a foundation is formed the remainder of the library can be designed and implemented in a hierarchical fashion. +That is, to implement the lowest level dependencies first and work towards the most abstract functions last. For example, before implementing a modular exponentiation algorithm one would implement a modular reduction algorithm. -By building outwards from a base foundation instead of using a parallel design methodology the resulting project is +By building outwards from a base foundation instead of using a parallel design methodology the resulting project is highly modular. Being highly modular is a desirable property of any project as it often means the resulting product -has a small footprint and updates are easy to perform. +has a small footprint and updates are easy to perform. -Usually when I start a project I will begin with the header files. I define the data types I think I will need and -prototype the initial functions that are not dependent on other functions (within the library). After I +Usually when I start a project I will begin with the header files. I define the data types I think I will need and +prototype the initial functions that are not dependent on other functions (within the library). After I implement these base functions I prototype more dependent functions and implement them. The process repeats until -I implement all of the functions I require. For example, in the case of LibTomMath I implemented functions such as -mp\_init() well before I implemented mp\_mul() and even further before I implemented mp\_exptmod(). As an example as to -why this design works note that the Karatsuba and Toom-Cook multipliers were written \textit{after} the -dependent function mp\_exptmod() was written. Adding the new multiplication algorithms did not require changes to the -mp\_exptmod() function itself and lowered the total cost of ownership (\textit{so to speak}) and of development +I implement all of the functions I require. For example, in the case of LibTomMath I implemented functions such as +mp\_init() well before I implemented mp\_mul() and even further before I implemented mp\_exptmod(). As an example as to +why this design works note that the Karatsuba and Toom-Cook multipliers were written \textit{after} the +dependent function mp\_exptmod() was written. Adding the new multiplication algorithms did not require changes to the +mp\_exptmod() function itself and lowered the total cost of ownership (\textit{so to speak}) and of development for new algorithms. This methodology allows new algorithms to be tested in a complete framework with relative ease. FIGU,design_process,Design Flow of the First Few Original LibTomMath Functions. Only after the majority of the functions were in place did I pursue a less hierarchical approach to auditing and optimizing -the source code. For example, one day I may audit the multipliers and the next day the polynomial basis functions. +the source code. For example, one day I may audit the multipliers and the next day the polynomial basis functions. -It only makes sense to begin the text with the preliminary data types and support algorithms required as well. +It only makes sense to begin the text with the preliminary data types and support algorithms required as well. This chapter discusses the core algorithms of the library which are the dependents for every other algorithm. \section{What is a Multiple Precision Integer?} -Recall that most programming languages, in particular ISO C \cite{ISOC}, only have fixed precision data types that on their own cannot -be used to represent values larger than their precision will allow. The purpose of multiple precision algorithms is -to use fixed precision data types to create and manipulate multiple precision integers which may represent values -that are very large. +Recall that most programming languages, in particular ISO C \cite{ISOC}, only have fixed precision data types that on their own cannot +be used to represent values larger than their precision will allow. The purpose of multiple precision algorithms is +to use fixed precision data types to create and manipulate multiple precision integers which may represent values +that are very large. As a well known analogy, school children are taught how to form numbers larger than nine by prepending more radix ten digits. In the decimal system -the largest single digit value is $9$. However, by concatenating digits together larger numbers may be represented. Newly prepended digits -(\textit{to the left}) are said to be in a different power of ten column. That is, the number $123$ can be described as having a $1$ in the hundreds -column, $2$ in the tens column and $3$ in the ones column. Or more formally $123 = 1 \cdot 10^2 + 2 \cdot 10^1 + 3 \cdot 10^0$. Computer based -multiple precision arithmetic is essentially the same concept. Larger integers are represented by adjoining fixed +the largest single digit value is $9$. However, by concatenating digits together larger numbers may be represented. Newly prepended digits +(\textit{to the left}) are said to be in a different power of ten column. That is, the number $123$ can be described as having a $1$ in the hundreds +column, $2$ in the tens column and $3$ in the ones column. Or more formally $123 = 1 \cdot 10^2 + 2 \cdot 10^1 + 3 \cdot 10^0$. Computer based +multiple precision arithmetic is essentially the same concept. Larger integers are represented by adjoining fixed precision computer words with the exception that a different radix is used. -What most people probably do not think about explicitly are the various other attributes that describe a multiple precision -integer. For example, the integer $154_{10}$ has two immediately obvious properties. First, the integer is positive, -that is the sign of this particular integer is positive as opposed to negative. Second, the integer has three digits in -its representation. There is an additional property that the integer posesses that does not concern pencil-and-paper -arithmetic. The third property is how many digits placeholders are available to hold the integer. +What most people probably do not think about explicitly are the various other attributes that describe a multiple precision +integer. For example, the integer $154_{10}$ has two immediately obvious properties. First, the integer is positive, +that is the sign of this particular integer is positive as opposed to negative. Second, the integer has three digits in +its representation. There is an additional property that the integer posesses that does not concern pencil-and-paper +arithmetic. The third property is how many digits placeholders are available to hold the integer. The human analogy of this third property is ensuring there is enough space on the paper to write the integer. For example, -if one starts writing a large number too far to the right on a piece of paper they will have to erase it and move left. +if one starts writing a large number too far to the right on a piece of paper they will have to erase it and move left. Similarly, computer algorithms must maintain strict control over memory usage to ensure that the digits of an integer -will not exceed the allowed boundaries. These three properties make up what is known as a multiple precision -integer or mp\_int for short. +will not exceed the allowed boundaries. These three properties make up what is known as a multiple precision +integer or mp\_int for short. \subsection{The mp\_int Structure} \label{sec:MPINT} -The mp\_int structure is the ISO C based manifestation of what represents a multiple precision integer. The ISO C standard does not provide for -any such data type but it does provide for making composite data types known as structures. The following is the structure definition +The mp\_int structure is the ISO C based manifestation of what represents a multiple precision integer. The ISO C standard does not provide for +any such data type but it does provide for making composite data types known as structures. The following is the structure definition used within LibTomMath. \index{mp\_int} @@ -607,46 +596,46 @@ The mp\_int structure (fig. \ref{fig:mpint}) can be broken down as follows. \begin{enumerate} \item The \textbf{used} parameter denotes how many digits of the array \textbf{dp} contain the digits used to represent -a given integer. The \textbf{used} count must be positive (or zero) and may not exceed the \textbf{alloc} count. +a given integer. The \textbf{used} count must be positive (or zero) and may not exceed the \textbf{alloc} count. -\item The \textbf{alloc} parameter denotes how -many digits are available in the array to use by functions before it has to increase in size. When the \textbf{used} count -of a result would exceed the \textbf{alloc} count all of the algorithms will automatically increase the size of the -array to accommodate the precision of the result. +\item The \textbf{alloc} parameter denotes how +many digits are available in the array to use by functions before it has to increase in size. When the \textbf{used} count +of a result would exceed the \textbf{alloc} count all of the algorithms will automatically increase the size of the +array to accommodate the precision of the result. -\item The pointer \textbf{dp} points to a dynamically allocated array of digits that represent the given multiple -precision integer. It is padded with $(\textbf{alloc} - \textbf{used})$ zero digits. The array is maintained in a least +\item The pointer \textbf{dp} points to a dynamically allocated array of digits that represent the given multiple +precision integer. It is padded with $(\textbf{alloc} - \textbf{used})$ zero digits. The array is maintained in a least significant digit order. As a pencil and paper analogy the array is organized such that the right most digits are stored -first starting at the location indexed by zero\footnote{In C all arrays begin at zero.} in the array. For example, -if \textbf{dp} contains $\lbrace a, b, c, \ldots \rbrace$ where \textbf{dp}$_0 = a$, \textbf{dp}$_1 = b$, \textbf{dp}$_2 = c$, $\ldots$ then -it would represent the integer $a + b\beta + c\beta^2 + \ldots$ +first starting at the location indexed by zero\footnote{In C all arrays begin at zero.} in the array. For example, +if \textbf{dp} contains $\lbrace a, b, c, \ldots \rbrace$ where \textbf{dp}$_0 = a$, \textbf{dp}$_1 = b$, \textbf{dp}$_2 = c$, $\ldots$ then +it would represent the integer $a + b\beta + c\beta^2 + \ldots$ \index{MP\_ZPOS} \index{MP\_NEG} -\item The \textbf{sign} parameter denotes the sign as either zero/positive (\textbf{MP\_ZPOS}) or negative (\textbf{MP\_NEG}). +\item The \textbf{sign} parameter denotes the sign as either zero/positive (\textbf{MP\_ZPOS}) or negative (\textbf{MP\_NEG}). \end{enumerate} \subsubsection{Valid mp\_int Structures} -Several rules are placed on the state of an mp\_int structure and are assumed to be followed for reasons of efficiency. +Several rules are placed on the state of an mp\_int structure and are assumed to be followed for reasons of efficiency. The only exceptions are when the structure is passed to initialization functions such as mp\_init() and mp\_init\_copy(). \begin{enumerate} \item The value of \textbf{alloc} may not be less than one. That is \textbf{dp} always points to a previously allocated array of digits. \item The value of \textbf{used} may not exceed \textbf{alloc} and must be greater than or equal to zero. -\item The value of \textbf{used} implies the digit at index $(used - 1)$ of the \textbf{dp} array is non-zero. That is, +\item The value of \textbf{used} implies the digit at index $(used - 1)$ of the \textbf{dp} array is non-zero. That is, leading zero digits in the most significant positions must be trimmed. \begin{enumerate} \item Digits in the \textbf{dp} array at and above the \textbf{used} location must be zero. \end{enumerate} -\item The value of \textbf{sign} must be \textbf{MP\_ZPOS} if \textbf{used} is zero; +\item The value of \textbf{sign} must be \textbf{MP\_ZPOS} if \textbf{used} is zero; this represents the mp\_int value of zero. \end{enumerate} \section{Argument Passing} -A convention of argument passing must be adopted early on in the development of any library. Making the function -prototypes consistent will help eliminate many headaches in the future as the library grows to significant complexity. -In LibTomMath the multiple precision integer functions accept parameters from left to right as pointers to mp\_int -structures. That means that the source (input) operands are placed on the left and the destination (output) on the right. +A convention of argument passing must be adopted early on in the development of any library. Making the function +prototypes consistent will help eliminate many headaches in the future as the library grows to significant complexity. +In LibTomMath the multiple precision integer functions accept parameters from left to right as pointers to mp\_int +structures. That means that the source (input) operands are placed on the left and the destination (output) on the right. Consider the following examples. \begin{verbatim} @@ -659,25 +648,25 @@ The left to right order is a fairly natural way to implement the functions since functions and make sense of them. For example, the first function would read ``multiply a and b and store in c''. Certain libraries (\textit{LIP by Lenstra for instance}) accept parameters the other way around, to mimic the order -of assignment expressions. That is, the destination (output) is on the left and arguments (inputs) are on the right. In -truth, it is entirely a matter of preference. In the case of LibTomMath the convention from the MPI library has been -adopted. - -Another very useful design consideration, provided for in LibTomMath, is whether to allow argument sources to also be a -destination. For example, the second example (\textit{mp\_add}) adds $a$ to $b$ and stores in $a$. This is an important -feature to implement since it allows the calling functions to cut down on the number of variables it must maintain. -However, to implement this feature specific care has to be given to ensure the destination is not modified before the +of assignment expressions. That is, the destination (output) is on the left and arguments (inputs) are on the right. In +truth, it is entirely a matter of preference. In the case of LibTomMath the convention from the MPI library has been +adopted. + +Another very useful design consideration, provided for in LibTomMath, is whether to allow argument sources to also be a +destination. For example, the second example (\textit{mp\_add}) adds $a$ to $b$ and stores in $a$. This is an important +feature to implement since it allows the calling functions to cut down on the number of variables it must maintain. +However, to implement this feature specific care has to be given to ensure the destination is not modified before the source is fully read. \section{Return Values} -A well implemented application, no matter what its purpose, should trap as many runtime errors as possible and return them -to the caller. By catching runtime errors a library can be guaranteed to prevent undefined behaviour. However, the end +A well implemented application, no matter what its purpose, should trap as many runtime errors as possible and return them +to the caller. By catching runtime errors a library can be guaranteed to prevent undefined behaviour. However, the end developer can still manage to cause a library to crash. For example, by passing an invalid pointer an application may fault by dereferencing memory not owned by the application. -In the case of LibTomMath the only errors that are checked for are related to inappropriate inputs (division by zero for -instance) and memory allocation errors. It will not check that the mp\_int passed to any function is valid nor -will it check pointers for validity. Any function that can cause a runtime error will return an error code as an +In the case of LibTomMath the only errors that are checked for are related to inappropriate inputs (division by zero for +instance) and memory allocation errors. It will not check that the mp\_int passed to any function is valid nor +will it check pointers for validity. Any function that can cause a runtime error will return an error code as an \textbf{int} data type with one of the following values (fig \ref{fig:errcodes}). \index{MP\_OKAY} \index{MP\_VAL} \index{MP\_MEM} @@ -696,7 +685,7 @@ will it check pointers for validity. Any function that can cause a runtime erro \end{figure} When an error is detected within a function it should free any memory it allocated, often during the initialization of -temporary mp\_ints, and return as soon as possible. The goal is to leave the system in the same state it was when the +temporary mp\_ints, and return as soon as possible. The goal is to leave the system in the same state it was when the function was called. Error checking with this style of API is fairly simple. \begin{verbatim} @@ -707,19 +696,19 @@ function was called. Error checking with this style of API is fairly simple. } \end{verbatim} -The GMP \cite{GMP} library uses C style \textit{signals} to flag errors which is of questionable use. Not all errors are fatal +The GMP \cite{GMP} library uses C style \textit{signals} to flag errors which is of questionable use. Not all errors are fatal and it was not deemed ideal by the author of LibTomMath to force developers to have signal handlers for such cases. \section{Initialization and Clearing} -The logical starting point when actually writing multiple precision integer functions is the initialization and +The logical starting point when actually writing multiple precision integer functions is the initialization and clearing of the mp\_int structures. These two algorithms will be used by the majority of the higher level algorithms. Given the basic mp\_int structure an initialization routine must first allocate memory to hold the digits of the integer. Often it is optimal to allocate a sufficiently large pre-set number of digits even though the initial integer will represent zero. If only a single digit were allocated quite a few subsequent re-allocations would occur when operations are performed on the integers. There is a tradeoff between how many default digits to allocate -and how many re-allocations are tolerable. Obviously allocating an excessive amount of digits initially will waste -memory and become unmanageable. +and how many re-allocations are tolerable. Obviously allocating an excessive amount of digits initially will waste +memory and become unmanageable. If the memory for the digits has been successfully allocated then the rest of the members of the structure must be initialized. Since the initial state of an mp\_int is to represent the zero integer, the allocated digits must be set @@ -754,16 +743,16 @@ structure are set to valid values. The mp\_init algorithm will perform such an \textbf{Algorithm mp\_init.} The purpose of this function is to initialize an mp\_int structure so that the rest of the library can properly manipulte it. It is assumed that the input may not have had any of its members previously initialized which is certainly -a valid assumption if the input resides on the stack. +a valid assumption if the input resides on the stack. Before any of the members such as \textbf{sign}, \textbf{used} or \textbf{alloc} are initialized the memory for -the digits is allocated. If this fails the function returns before setting any of the other members. The \textbf{MP\_PREC} -name represents a constant\footnote{Defined in the ``tommath.h'' header file within LibTomMath.} +the digits is allocated. If this fails the function returns before setting any of the other members. The \textbf{MP\_PREC} +name represents a constant\footnote{Defined in the ``tommath.h'' header file within LibTomMath.} used to dictate the minimum precision of newly initialized mp\_int integers. Ideally, it is at least equal to the smallest precision number you'll be working with. Allocating a block of digits at first instead of a single digit has the benefit of lowering the number of usually slow -heap operations later functions will have to perform in the future. If \textbf{MP\_PREC} is set correctly the slack +heap operations later functions will have to perform in the future. If \textbf{MP\_PREC} is set correctly the slack memory and the number of heap operations will be trivial. Once the allocation has been made the digits have to be set to zero as well as the \textbf{used}, \textbf{sign} and @@ -775,14 +764,14 @@ This function introduces the idiosyncrasy that all iterative loops, commonly ini when the ``to'' keyword is placed between two expressions. For example, ``for $a$ from $b$ to $c$ do'' means that a subsequent expression (or body of expressions) are to be evaluated upto $c - b$ times so long as $b \le c$. In each iteration the variable $a$ is substituted for a new integer that lies inclusively between $b$ and $c$. If $b > c$ occured -the loop would not iterate. By contrast if the ``downto'' keyword were used in place of ``to'' the loop would iterate +the loop would not iterate. By contrast if the ``downto'' keyword were used in place of ``to'' the loop would iterate decrementally. EXAM,bn_mp_init.c -One immediate observation of this initializtion function is that it does not return a pointer to a mp\_int structure. It -is assumed that the caller has already allocated memory for the mp\_int structure, typically on the application stack. The -call to mp\_init() is used only to initialize the members of the structure to a known default state. +One immediate observation of this initializtion function is that it does not return a pointer to a mp\_int structure. It +is assumed that the caller has already allocated memory for the mp\_int structure, typically on the application stack. The +call to mp\_init() is used only to initialize the members of the structure to a known default state. Here we see (line @23,XMALLOC@) the memory allocation is performed first. This allows us to exit cleanly and quickly if there is an error. If the allocation fails the routine will return \textbf{MP\_MEM} to the caller to indicate there @@ -791,17 +780,17 @@ but a macro defined in ``tommath.h``. By default, XMALLOC will evaluate to mall memory allocation routine. In order to assure the mp\_int is in a known state the digits must be set to zero. On most platforms this could have been -accomplished by using calloc() instead of malloc(). However, to correctly initialize a integer type to a given value in a +accomplished by using calloc() instead of malloc(). However, to correctly initialize a integer type to a given value in a portable fashion you have to actually assign the value. The for loop (line @28,for@) performs this required operation. -After the memory has been successfully initialized the remainder of the members are initialized +After the memory has been successfully initialized the remainder of the members are initialized (lines @29,used@ through @31,sign@) to their respective default states. At this point the algorithm has succeeded and -a success code is returned to the calling function. If this function returns \textbf{MP\_OKAY} it is safe to assume the -mp\_int structure has been properly initialized and is safe to use with other functions within the library. +a success code is returned to the calling function. If this function returns \textbf{MP\_OKAY} it is safe to assume the +mp\_int structure has been properly initialized and is safe to use with other functions within the library. \subsection{Clearing an mp\_int} -When an mp\_int is no longer required by the application, the memory that has been allocated for its digits must be +When an mp\_int is no longer required by the application, the memory that has been allocated for its digits must be returned to the application's memory pool with the mp\_clear algorithm. \begin{figure}[here] @@ -826,12 +815,12 @@ returned to the application's memory pool with the mp\_clear algorithm. \end{figure} \textbf{Algorithm mp\_clear.} -This algorithm accomplishes two goals. First, it clears the digits and the other mp\_int members. This ensures that +This algorithm accomplishes two goals. First, it clears the digits and the other mp\_int members. This ensures that if a developer accidentally re-uses a cleared structure it is less likely to cause problems. The second goal is to free the allocated memory. The logic behind the algorithm is extended by marking cleared mp\_int structures so that subsequent calls to this -algorithm will not try to free the memory multiple times. Cleared mp\_ints are detectable by having a pre-defined invalid +algorithm will not try to free the memory multiple times. Cleared mp\_ints are detectable by having a pre-defined invalid digit pointer \textbf{dp} setting. Once an mp\_int has been cleared the mp\_int structure is no longer in a valid state for any other algorithm @@ -844,11 +833,11 @@ checks to see if the \textbf{dp} member is not \textbf{NULL}. If the mp\_int is \textbf{NULL} in which case the if statement will evaluate to true. The digits of the mp\_int are cleared by the for loop (line @25,for@) which assigns a zero to every digit. Similar to mp\_init() -the digits are assigned zero instead of using block memory operations (such as memset()) since this is more portable. +the digits are assigned zero instead of using block memory operations (such as memset()) since this is more portable. The digits are deallocated off the heap via the XFREE macro. Similar to XMALLOC the XFREE macro actually evaluates to a standard C library function. In this case the free() function. Since free() only deallocates the memory the pointer -still has to be reset to \textbf{NULL} manually (line @33,NULL@). +still has to be reset to \textbf{NULL} manually (line @33,NULL@). Now that the digits have been cleared and deallocated the other members are set to their final values (lines @34,= 0@ and @35,ZPOS@). @@ -856,16 +845,16 @@ Now that the digits have been cleared and deallocated the other members are set The previous sections describes how to initialize and clear an mp\_int structure. To further support operations that are to be performed on mp\_int structures (such as addition and multiplication) the dependent algorithms must be -able to augment the precision of an mp\_int and -initialize mp\_ints with differing initial conditions. +able to augment the precision of an mp\_int and +initialize mp\_ints with differing initial conditions. These algorithms complete the set of low level algorithms required to work with mp\_int structures in the higher level algorithms such as addition, multiplication and modular exponentiation. \subsection{Augmenting an mp\_int's Precision} -When storing a value in an mp\_int structure, a sufficient number of digits must be available to accomodate the entire -result of an operation without loss of precision. Quite often the size of the array given by the \textbf{alloc} member -is large enough to simply increase the \textbf{used} digit count. However, when the size of the array is too small it +When storing a value in an mp\_int structure, a sufficient number of digits must be available to accomodate the entire +result of an operation without loss of precision. Quite often the size of the array given by the \textbf{alloc} member +is large enough to simply increase the \textbf{used} digit count. However, when the size of the array is too small it must be re-sized appropriately to accomodate the result. The mp\_grow algorithm will provide this functionality. \newpage\begin{figure}[here] @@ -891,14 +880,14 @@ must be re-sized appropriately to accomodate the result. The mp\_grow algorithm \end{figure} \textbf{Algorithm mp\_grow.} -It is ideal to prevent re-allocations from being performed if they are not required (step one). This is useful to -prevent mp\_ints from growing excessively in code that erroneously calls mp\_grow. +It is ideal to prevent re-allocations from being performed if they are not required (step one). This is useful to +prevent mp\_ints from growing excessively in code that erroneously calls mp\_grow. -The requested digit count is padded up to next multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} (steps two and three). -This helps prevent many trivial reallocations that would grow an mp\_int by trivially small values. +The requested digit count is padded up to next multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} (steps two and three). +This helps prevent many trivial reallocations that would grow an mp\_int by trivially small values. -It is assumed that the reallocation (step four) leaves the lower $a.alloc$ digits of the mp\_int intact. This is much -akin to how the \textit{realloc} function from the standard C library works. Since the newly allocated digits are +It is assumed that the reallocation (step four) leaves the lower $a.alloc$ digits of the mp\_int intact. This is much +akin to how the \textit{realloc} function from the standard C library works. Since the newly allocated digits are assumed to contain undefined values they are initially set to zero. EXAM,bn_mp_grow.c @@ -915,12 +904,12 @@ the re-allocation. All that is left is to clear the newly allocated digits and Note that the re-allocation result is actually stored in a temporary pointer $tmp$. This is to allow this function to return an error with a valid pointer. Earlier releases of the library stored the result of XREALLOC into the mp\_int $a$. That would -result in a memory leak if XREALLOC ever failed. +result in a memory leak if XREALLOC ever failed. \subsection{Initializing Variable Precision mp\_ints} -Occasionally the number of digits required will be known in advance of an initialization, based on, for example, the size -of input mp\_ints to a given algorithm. The purpose of algorithm mp\_init\_size is similar to mp\_init except that it -will allocate \textit{at least} a specified number of digits. +Occasionally the number of digits required will be known in advance of an initialization, based on, for example, the size +of input mp\_ints to a given algorithm. The purpose of algorithm mp\_init\_size is similar to mp\_init except that it +will allocate \textit{at least} a specified number of digits. \begin{figure}[here] \begin{small} @@ -947,30 +936,30 @@ will allocate \textit{at least} a specified number of digits. \end{figure} \textbf{Algorithm mp\_init\_size.} -This algorithm will initialize an mp\_int structure $a$ like algorithm mp\_init with the exception that the number of -digits allocated can be controlled by the second input argument $b$. The input size is padded upwards so it is a -multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} digits. This padding is used to prevent trivial +This algorithm will initialize an mp\_int structure $a$ like algorithm mp\_init with the exception that the number of +digits allocated can be controlled by the second input argument $b$. The input size is padded upwards so it is a +multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} digits. This padding is used to prevent trivial allocations from becoming a bottleneck in the rest of the algorithms. -Like algorithm mp\_init, the mp\_int structure is initialized to a default state representing the integer zero. This +Like algorithm mp\_init, the mp\_int structure is initialized to a default state representing the integer zero. This particular algorithm is useful if it is known ahead of time the approximate size of the input. If the approximation is correct no further memory re-allocations are required to work with the mp\_int. EXAM,bn_mp_init_size.c -The number of digits $b$ requested is padded (line @22,MP_PREC@) by first augmenting it to the next multiple of -\textbf{MP\_PREC} and then adding \textbf{MP\_PREC} to the result. If the memory can be successfully allocated the -mp\_int is placed in a default state representing the integer zero. Otherwise, the error code \textbf{MP\_MEM} will be -returned (line @27,return@). +The number of digits $b$ requested is padded (line @22,MP_PREC@) by first augmenting it to the next multiple of +\textbf{MP\_PREC} and then adding \textbf{MP\_PREC} to the result. If the memory can be successfully allocated the +mp\_int is placed in a default state representing the integer zero. Otherwise, the error code \textbf{MP\_MEM} will be +returned (line @27,return@). -The digits are allocated and set to zero at the same time with the calloc() function (line @25,XCALLOC@). The -\textbf{used} count is set to zero, the \textbf{alloc} count set to the padded digit count and the \textbf{sign} flag set -to \textbf{MP\_ZPOS} to achieve a default valid mp\_int state (lines @29,used@, @30,alloc@ and @31,sign@). If the function -returns succesfully then it is correct to assume that the mp\_int structure is in a valid state for the remainder of the +The digits are allocated with the malloc() function (line @27,XMALLOC@) and set to zero afterwards (line @38,for@). The +\textbf{used} count is set to zero, the \textbf{alloc} count set to the padded digit count and the \textbf{sign} flag set +to \textbf{MP\_ZPOS} to achieve a default valid mp\_int state (lines @29,used@, @30,alloc@ and @31,sign@). If the function +returns succesfully then it is correct to assume that the mp\_int structure is in a valid state for the remainder of the functions to work with. \subsection{Multiple Integer Initializations and Clearings} -Occasionally a function will require a series of mp\_int data types to be made available simultaneously. +Occasionally a function will require a series of mp\_int data types to be made available simultaneously. The purpose of algorithm mp\_init\_multi is to initialize a variable length array of mp\_int structures in a single statement. It is essentially a shortcut to multiple initializations. @@ -995,42 +984,42 @@ statement. It is essentially a shortcut to multiple initializations. \end{figure} \textbf{Algorithm mp\_init\_multi.} -The algorithm will initialize the array of mp\_int variables one at a time. If a runtime error has been detected -(\textit{step 1.2}) all of the previously initialized variables are cleared. The goal is an ``all or nothing'' +The algorithm will initialize the array of mp\_int variables one at a time. If a runtime error has been detected +(\textit{step 1.2}) all of the previously initialized variables are cleared. The goal is an ``all or nothing'' initialization which allows for quick recovery from runtime errors. EXAM,bn_mp_init_multi.c This function intializes a variable length list of mp\_int structure pointers. However, instead of having the mp\_int -structures in an actual C array they are simply passed as arguments to the function. This function makes use of the -``...'' argument syntax of the C programming language. The list is terminated with a final \textbf{NULL} argument -appended on the right. +structures in an actual C array they are simply passed as arguments to the function. This function makes use of the +``...'' argument syntax of the C programming language. The list is terminated with a final \textbf{NULL} argument +appended on the right. The function uses the ``stdarg.h'' \textit{va} functions to step portably through the arguments to the function. A count $n$ of succesfully initialized mp\_int structures is maintained (line @47,n++@) such that if a failure does occur, -the algorithm can backtrack and free the previously initialized structures (lines @27,if@ to @46,}@). +the algorithm can backtrack and free the previously initialized structures (lines @27,if@ to @46,}@). \subsection{Clamping Excess Digits} -When a function anticipates a result will be $n$ digits it is simpler to assume this is true within the body of -the function instead of checking during the computation. For example, a multiplication of a $i$ digit number by a -$j$ digit produces a result of at most $i + j$ digits. It is entirely possible that the result is $i + j - 1$ -though, with no final carry into the last position. However, suppose the destination had to be first expanded -(\textit{via mp\_grow}) to accomodate $i + j - 1$ digits than further expanded to accomodate the final carry. +When a function anticipates a result will be $n$ digits it is simpler to assume this is true within the body of +the function instead of checking during the computation. For example, a multiplication of a $i$ digit number by a +$j$ digit produces a result of at most $i + j$ digits. It is entirely possible that the result is $i + j - 1$ +though, with no final carry into the last position. However, suppose the destination had to be first expanded +(\textit{via mp\_grow}) to accomodate $i + j - 1$ digits than further expanded to accomodate the final carry. That would be a considerable waste of time since heap operations are relatively slow. The ideal solution is to always assume the result is $i + j$ and fix up the \textbf{used} count after the function terminates. This way a single heap operation (\textit{at most}) is required. However, if the result was not checked -there would be an excess high order zero digit. +there would be an excess high order zero digit. -For example, suppose the product of two integers was $x_n = (0x_{n-1}x_{n-2}...x_0)_{\beta}$. The leading zero digit +For example, suppose the product of two integers was $x_n = (0x_{n-1}x_{n-2}...x_0)_{\beta}$. The leading zero digit will not contribute to the precision of the result. In fact, through subsequent operations more leading zero digits would -accumulate to the point the size of the integer would be prohibitive. As a result even though the precision is very -low the representation is excessively large. +accumulate to the point the size of the integer would be prohibitive. As a result even though the precision is very +low the representation is excessively large. -The mp\_clamp algorithm is designed to solve this very problem. It will trim high-order zeros by decrementing the -\textbf{used} count until a non-zero most significant digit is found. Also in this system, zero is considered to be a -positive number which means that if the \textbf{used} count is decremented to zero, the sign must be set to +The mp\_clamp algorithm is designed to solve this very problem. It will trim high-order zeros by decrementing the +\textbf{used} count until a non-zero most significant digit is found. Also in this system, zero is considered to be a +positive number which means that if the \textbf{used} count is decremented to zero, the sign must be set to \textbf{MP\_ZPOS}. \begin{figure}[here] @@ -1052,16 +1041,16 @@ positive number which means that if the \textbf{used} count is decremented to ze \textbf{Algorithm mp\_clamp.} As can be expected this algorithm is very simple. The loop on step one is expected to iterate only once or twice at -the most. For example, this will happen in cases where there is not a carry to fill the last position. Step two fixes the sign for +the most. For example, this will happen in cases where there is not a carry to fill the last position. Step two fixes the sign for when all of the digits are zero to ensure that the mp\_int is valid at all times. EXAM,bn_mp_clamp.c Note on line @27,while@ how to test for the \textbf{used} count is made on the left of the \&\& operator. In the C programming -language the terms to \&\& are evaluated left to right with a boolean short-circuit if any condition fails. This is -important since if the \textbf{used} is zero the test on the right would fetch below the array. That is obviously +language the terms to \&\& are evaluated left to right with a boolean short-circuit if any condition fails. This is +important since if the \textbf{used} is zero the test on the right would fetch below the array. That is obviously undesirable. The parenthesis on line @28,a->used@ is used to make sure the \textbf{used} count is decremented and not -the pointer ``a''. +the pointer ``a''. \section*{Exercises} \begin{tabular}{cl} @@ -1087,19 +1076,19 @@ $\left [ 1 \right ]$ & Give an example of when the algorithm mp\_init\_copy mig \section{Introduction} In the previous chapter a series of low level algorithms were established that dealt with initializing and maintaining -mp\_int structures. This chapter will discuss another set of seemingly non-algebraic algorithms which will form the low +mp\_int structures. This chapter will discuss another set of seemingly non-algebraic algorithms which will form the low level basis of the entire library. While these algorithm are relatively trivial it is important to understand how they work before proceeding since these algorithms will be used almost intrinsically in the following chapters. The algorithms in this chapter deal primarily with more ``programmer'' related tasks such as creating copies of mp\_int structures, assigning small values to mp\_int structures and comparisons of the values mp\_int structures -represent. +represent. \section{Assigning Values to mp\_int Structures} \subsection{Copying an mp\_int} Assigning the value that a given mp\_int structure represents to another mp\_int structure shall be known as making a copy for the purposes of this text. The copy of the mp\_int will be a separate entity that represents the same -value as the mp\_int it was copied from. The mp\_copy algorithm provides this functionality. +value as the mp\_int it was copied from. The mp\_copy algorithm provides this functionality. \newpage\begin{figure}[here] \begin{center} @@ -1124,40 +1113,40 @@ value as the mp\_int it was copied from. The mp\_copy algorithm provides this f \textbf{Algorithm mp\_copy.} This algorithm copies the mp\_int $a$ such that upon succesful termination of the algorithm the mp\_int $b$ will -represent the same integer as the mp\_int $a$. The mp\_int $b$ shall be a complete and distinct copy of the +represent the same integer as the mp\_int $a$. The mp\_int $b$ shall be a complete and distinct copy of the mp\_int $a$ meaing that the mp\_int $a$ can be modified and it shall not affect the value of the mp\_int $b$. -If $b$ does not have enough room for the digits of $a$ it must first have its precision augmented via the mp\_grow +If $b$ does not have enough room for the digits of $a$ it must first have its precision augmented via the mp\_grow algorithm. The digits of $a$ are copied over the digits of $b$ and any excess digits of $b$ are set to zero (step two and three). The \textbf{used} and \textbf{sign} members of $a$ are finally copied over the respective members of $b$. \textbf{Remark.} This algorithm also introduces a new idiosyncrasy that will be used throughout the rest of the -text. The error return codes of other algorithms are not explicitly checked in the pseudo-code presented. For example, in -step one of the mp\_copy algorithm the return of mp\_grow is not explicitly checked to ensure it succeeded. Text space is +text. The error return codes of other algorithms are not explicitly checked in the pseudo-code presented. For example, in +step one of the mp\_copy algorithm the return of mp\_grow is not explicitly checked to ensure it succeeded. Text space is limited so it is assumed that if a algorithm fails it will clear all temporarily allocated mp\_ints and return -the error code itself. However, the C code presented will demonstrate all of the error handling logic required to +the error code itself. However, the C code presented will demonstrate all of the error handling logic required to implement the pseudo-code. EXAM,bn_mp_copy.c Occasionally a dependent algorithm may copy an mp\_int effectively into itself such as when the input and output -mp\_int structures passed to a function are one and the same. For this case it is optimal to return immediately without -copying digits (line @24,a == b@). +mp\_int structures passed to a function are one and the same. For this case it is optimal to return immediately without +copying digits (line @24,a == b@). The mp\_int $b$ must have enough digits to accomodate the used digits of the mp\_int $a$. If $b.alloc$ is less than $a.used$ the algorithm mp\_grow is used to augment the precision of $b$ (lines @29,alloc@ to @33,}@). In order to simplify the inner loop that copies the digits from $a$ to $b$, two aliases $tmpa$ and $tmpb$ point directly at the digits of the mp\_ints $a$ and $b$ respectively. These aliases (lines @42,tmpa@ and @45,tmpb@) allow the compiler to access the digits without first dereferencing the -mp\_int pointers and then subsequently the pointer to the digits. +mp\_int pointers and then subsequently the pointer to the digits. -After the aliases are established the digits from $a$ are copied into $b$ (lines @48,for@ to @50,}@) and then the excess -digits of $b$ are set to zero (lines @53,for@ to @55,}@). Both ``for'' loops make use of the pointer aliases and in -fact the alias for $b$ is carried through into the second ``for'' loop to clear the excess digits. This optimization +After the aliases are established the digits from $a$ are copied into $b$ (lines @48,for@ to @50,}@) and then the excess +digits of $b$ are set to zero (lines @53,for@ to @55,}@). Both ``for'' loops make use of the pointer aliases and in +fact the alias for $b$ is carried through into the second ``for'' loop to clear the excess digits. This optimization allows the alias to stay in a machine register fairly easy between the two loops. \textbf{Remarks.} The use of pointer aliases is an implementation methodology first introduced in this function that will -be used considerably in other functions. Technically, a pointer alias is simply a short hand alias used to lower the +be used considerably in other functions. Technically, a pointer alias is simply a short hand alias used to lower the number of pointer dereferencing operations required to access data. For example, a for loop may resemble \begin{alltt} @@ -1166,7 +1155,7 @@ for (x = 0; x < 100; x++) \{ \} \end{alltt} -This could be re-written using aliases as +This could be re-written using aliases as \begin{alltt} mp_digit *tmpa; @@ -1176,17 +1165,17 @@ for (x = 0; x < 100; x++) \{ \} \end{alltt} -In this case an alias is used to access the -array of digits within an mp\_int structure directly. It may seem that a pointer alias is strictly not required +In this case an alias is used to access the +array of digits within an mp\_int structure directly. It may seem that a pointer alias is strictly not required as a compiler may optimize out the redundant pointer operations. However, there are two dominant reasons to use aliases. -The first reason is that most compilers will not effectively optimize pointer arithmetic. For example, some optimizations -may work for the Microsoft Visual C++ compiler (MSVC) and not for the GNU C Compiler (GCC). Also some optimizations may -work for GCC and not MSVC. As such it is ideal to find a common ground for as many compilers as possible. Pointer -aliases optimize the code considerably before the compiler even reads the source code which means the end compiled code +The first reason is that most compilers will not effectively optimize pointer arithmetic. For example, some optimizations +may work for the Microsoft Visual C++ compiler (MSVC) and not for the GNU C Compiler (GCC). Also some optimizations may +work for GCC and not MSVC. As such it is ideal to find a common ground for as many compilers as possible. Pointer +aliases optimize the code considerably before the compiler even reads the source code which means the end compiled code stands a better chance of being faster. -The second reason is that pointer aliases often can make an algorithm simpler to read. Consider the first ``for'' +The second reason is that pointer aliases often can make an algorithm simpler to read. Consider the first ``for'' loop of the function mp\_copy() re-written to not use pointer aliases. \begin{alltt} @@ -1196,13 +1185,13 @@ loop of the function mp\_copy() re-written to not use pointer aliases. \} \end{alltt} -Whether this code is harder to read depends strongly on the individual. However, it is quantifiably slightly more +Whether this code is harder to read depends strongly on the individual. However, it is quantifiably slightly more complicated as there are four variables within the statement instead of just two. \subsubsection{Nested Statements} Another commonly used technique in the source routines is that certain sections of code are nested. This is used in particular with the pointer aliases to highlight code phases. For example, a Comba multiplier (discussed in chapter six) -will typically have three different phases. First the temporaries are initialized, then the columns calculated and +will typically have three different phases. First the temporaries are initialized, then the columns calculated and finally the carries are propagated. In this example the middle column production phase will typically be nested as it uses temporary variables and aliases the most. @@ -1211,9 +1200,9 @@ the various temporary variables required do not propagate into other sections of \subsection{Creating a Clone} -Another common operation is to make a local temporary copy of an mp\_int argument. To initialize an mp\_int -and then copy another existing mp\_int into the newly intialized mp\_int will be known as creating a clone. This is -useful within functions that need to modify an argument but do not wish to actually modify the original copy. The +Another common operation is to make a local temporary copy of an mp\_int argument. To initialize an mp\_int +and then copy another existing mp\_int into the newly intialized mp\_int will be known as creating a clone. This is +useful within functions that need to modify an argument but do not wish to actually modify the original copy. The mp\_init\_copy algorithm has been designed to help perform this task. \begin{figure}[here] @@ -1233,14 +1222,14 @@ mp\_init\_copy algorithm has been designed to help perform this task. \end{figure} \textbf{Algorithm mp\_init\_copy.} -This algorithm will initialize an mp\_int variable and copy another previously initialized mp\_int variable into it. As -such this algorithm will perform two operations in one step. +This algorithm will initialize an mp\_int variable and copy another previously initialized mp\_int variable into it. As +such this algorithm will perform two operations in one step. EXAM,bn_mp_init_copy.c -This will initialize \textbf{a} and make it a verbatim copy of the contents of \textbf{b}. Note that +This will initialize \textbf{a} and make it a verbatim copy of the contents of \textbf{b}. Note that \textbf{a} will have its own memory allocated which means that \textbf{b} may be cleared after the call -and \textbf{a} will be left intact. +and \textbf{a} will be left intact. \section{Zeroing an Integer} Reseting an mp\_int to the default state is a common step in many algorithms. The mp\_zero algorithm will be the algorithm used to @@ -1264,11 +1253,11 @@ perform this task. \end{figure} \textbf{Algorithm mp\_zero.} -This algorithm simply resets a mp\_int to the default state. +This algorithm simply resets a mp\_int to the default state. EXAM,bn_mp_zero.c -After the function is completed, all of the digits are zeroed, the \textbf{used} count is zeroed and the +After the function is completed, all of the digits are zeroed, the \textbf{used} count is zeroed and the \textbf{sign} variable is set to \textbf{MP\_ZPOS}. \section{Sign Manipulation} @@ -1296,7 +1285,7 @@ the absolute value of an mp\_int. \textbf{Algorithm mp\_abs.} This algorithm computes the absolute of an mp\_int input. First it copies $a$ over $b$. This is an example of an algorithm where the check in mp\_copy that determines if the source and destination are equal proves useful. This allows, -for instance, the developer to pass the same mp\_int as the source and destination to this function without addition +for instance, the developer to pass the same mp\_int as the source and destination to this function without addition logic to handle it. EXAM,bn_mp_abs.c @@ -1331,7 +1320,7 @@ the negative of an mp\_int input. \textbf{Algorithm mp\_neg.} This algorithm computes the negation of an input. First it copies $a$ over $b$. If $a$ has no used digits then -the algorithm returns immediately. Otherwise it flips the sign flag and stores the result in $b$. Note that if +the algorithm returns immediately. Otherwise it flips the sign flag and stores the result in $b$. Note that if $a$ had no digits then it must be positive by definition. Had step three been omitted then the algorithm would return zero as negative. @@ -1356,9 +1345,9 @@ Often a mp\_int must be set to a relatively small value such as $1$ or $2$. For 2. $a_0 \leftarrow b \mbox{ (mod }\beta\mbox{)}$ \\ 3. $a.used \leftarrow \left \lbrace \begin{array}{ll} 1 & \mbox{if }a_0 > 0 \\ - 0 & \mbox{if }a_0 = 0 + 0 & \mbox{if }a_0 = 0 \end{array} \right .$ \\ -\hline +\hline \end{tabular} \end{center} \caption{Algorithm mp\_set} @@ -1370,16 +1359,16 @@ single digit is set (\textit{modulo $\beta$}) and the \textbf{used} count is adj EXAM,bn_mp_set.c -First we zero (line @21,mp_zero@) the mp\_int to make sure that the other members are initialized for a +First we zero (line @21,mp_zero@) the mp\_int to make sure that the other members are initialized for a small positive constant. mp\_zero() ensures that the \textbf{sign} is positive and the \textbf{used} count -is zero. Next we set the digit and reduce it modulo $\beta$ (line @22,MP_MASK@). After this step we have to +is zero. Next we set the digit and reduce it modulo $\beta$ (line @22,MP_MASK@). After this step we have to check if the resulting digit is zero or not. If it is not then we set the \textbf{used} count to one, otherwise to zero. -We can quickly reduce modulo $\beta$ since it is of the form $2^k$ and a quick binary AND operation with +We can quickly reduce modulo $\beta$ since it is of the form $2^k$ and a quick binary AND operation with $2^k - 1$ will perform the same operation. -One important limitation of this function is that it will only set one digit. The size of a digit is not fixed, meaning source that uses +One important limitation of this function is that it will only set one digit. The size of a digit is not fixed, meaning source that uses this function should take that into account. Only trivially small constants can be set using this function. \subsection{Setting Large Constants} @@ -1407,9 +1396,9 @@ data type as input and will always treat it as a 32-bit integer. \end{figure} \textbf{Algorithm mp\_set\_int.} -The algorithm performs eight iterations of a simple loop where in each iteration four bits from the source are added to the +The algorithm performs eight iterations of a simple loop where in each iteration four bits from the source are added to the mp\_int. Step 2.1 will multiply the current result by sixteen making room for four more bits in the less significant positions. In step 2.2 the -next four bits from the source are extracted and are added to the mp\_int. The \textbf{used} digit count is +next four bits from the source are extracted and are added to the mp\_int. The \textbf{used} digit count is incremented to reflect the addition. The \textbf{used} digit counter is incremented since if any of the leading digits were zero the mp\_int would have zero digits used and the newly added four bits would be ignored. @@ -1418,23 +1407,23 @@ Excess zero digits are trimmed in steps 2.1 and 3 by using higher level algorith EXAM,bn_mp_set_int.c This function sets four bits of the number at a time to handle all practical \textbf{DIGIT\_BIT} sizes. The weird -addition on line @38,a->used@ ensures that the newly added in bits are added to the number of digits. While it may not -seem obvious as to why the digit counter does not grow exceedingly large it is because of the shift on line @27,mp_mul_2d@ -as well as the call to mp\_clamp() on line @40,mp_clamp@. Both functions will clamp excess leading digits which keeps +addition on line @38,a->used@ ensures that the newly added in bits are added to the number of digits. While it may not +seem obvious as to why the digit counter does not grow exceedingly large it is because of the shift on line @27,mp_mul_2d@ +as well as the call to mp\_clamp() on line @40,mp_clamp@. Both functions will clamp excess leading digits which keeps the number of used digits low. \section{Comparisons} \subsection{Unsigned Comparisions} Comparing a multiple precision integer is performed with the exact same algorithm used to compare two decimal numbers. For example, to compare $1,234$ to $1,264$ the digits are extracted by their positions. That is we compare $1 \cdot 10^3 + 2 \cdot 10^2 + 3 \cdot 10^1 + 4 \cdot 10^0$ -to $1 \cdot 10^3 + 2 \cdot 10^2 + 6 \cdot 10^1 + 4 \cdot 10^0$ by comparing single digits at a time starting with the highest magnitude -positions. If any leading digit of one integer is greater than a digit in the same position of another integer then obviously it must be greater. +to $1 \cdot 10^3 + 2 \cdot 10^2 + 6 \cdot 10^1 + 4 \cdot 10^0$ by comparing single digits at a time starting with the highest magnitude +positions. If any leading digit of one integer is greater than a digit in the same position of another integer then obviously it must be greater. The first comparision routine that will be developed is the unsigned magnitude compare which will perform a comparison based on the digits of two -mp\_int variables alone. It will ignore the sign of the two inputs. Such a function is useful when an absolute comparison is required or if the +mp\_int variables alone. It will ignore the sign of the two inputs. Such a function is useful when an absolute comparison is required or if the signs are known to agree in advance. -To facilitate working with the results of the comparison functions three constants are required. +To facilitate working with the results of the comparison functions three constants are required. \begin{figure}[here] \begin{center} @@ -1470,24 +1459,24 @@ To facilitate working with the results of the comparison functions three constan \textbf{Algorithm mp\_cmp\_mag.} By saying ``$a$ to the left of $b$'' it is meant that the comparison is with respect to $a$, that is if $a$ is greater than $b$ it will return -\textbf{MP\_GT} and similar with respect to when $a = b$ and $a < b$. The first two steps compare the number of digits used in both $a$ and $b$. -Obviously if the digit counts differ there would be an imaginary zero digit in the smaller number where the leading digit of the larger number is. -If both have the same number of digits than the actual digits themselves must be compared starting at the leading digit. +\textbf{MP\_GT} and similar with respect to when $a = b$ and $a < b$. The first two steps compare the number of digits used in both $a$ and $b$. +Obviously if the digit counts differ there would be an imaginary zero digit in the smaller number where the leading digit of the larger number is. +If both have the same number of digits than the actual digits themselves must be compared starting at the leading digit. By step three both inputs must have the same number of digits so its safe to start from either $a.used - 1$ or $b.used - 1$ and count down to the zero'th digit. If after all of the digits have been compared, no difference is found, the algorithm returns \textbf{MP\_EQ}. EXAM,bn_mp_cmp_mag.c -The two if statements (lines @24,if@ and @28,if@) compare the number of digits in the two inputs. These two are -performed before all of the digits are compared since it is a very cheap test to perform and can potentially save -considerable time. The implementation given is also not valid without those two statements. $b.alloc$ may be +The two if statements (lines @24,if@ and @28,if@) compare the number of digits in the two inputs. These two are +performed before all of the digits are compared since it is a very cheap test to perform and can potentially save +considerable time. The implementation given is also not valid without those two statements. $b.alloc$ may be smaller than $a.used$, meaning that undefined values will be read from $b$ past the end of the array of digits. \subsection{Signed Comparisons} -Comparing with sign considerations is also fairly critical in several routines (\textit{division for example}). Based on an unsigned magnitude +Comparing with sign considerations is also fairly critical in several routines (\textit{division for example}). Based on an unsigned magnitude comparison a trivial signed comparison algorithm can be written. \begin{figure}[here] @@ -1510,16 +1499,16 @@ comparison a trivial signed comparison algorithm can be written. \end{figure} \textbf{Algorithm mp\_cmp.} -The first two steps compare the signs of the two inputs. If the signs do not agree then it can return right away with the appropriate -comparison code. When the signs are equal the digits of the inputs must be compared to determine the correct result. In step -three the unsigned comparision flips the order of the arguments since they are both negative. For instance, if $-a > -b$ then +The first two steps compare the signs of the two inputs. If the signs do not agree then it can return right away with the appropriate +comparison code. When the signs are equal the digits of the inputs must be compared to determine the correct result. In step +three the unsigned comparision flips the order of the arguments since they are both negative. For instance, if $-a > -b$ then $\vert a \vert < \vert b \vert$. Step number four will compare the two when they are both positive. EXAM,bn_mp_cmp.c The two if statements (lines @22,if@ and @26,if@) perform the initial sign comparison. If the signs are not the equal then which ever -has the positive sign is larger. The inputs are compared (line @30,if@) based on magnitudes. If the signs were both -negative then the unsigned comparison is performed in the opposite direction (line @31,mp_cmp_mag@). Otherwise, the signs are assumed to +has the positive sign is larger. The inputs are compared (line @30,if@) based on magnitudes. If the signs were both +negative then the unsigned comparison is performed in the opposite direction (line @31,mp_cmp_mag@). Otherwise, the signs are assumed to be both positive and a forward direction unsigned comparison is performed. \section*{Exercises} @@ -1536,38 +1525,38 @@ $\left [ 1 \right ]$ & Suggest a simple method to speed up the implementation of \chapter{Basic Arithmetic} \section{Introduction} -At this point algorithms for initialization, clearing, zeroing, copying, comparing and setting small constants have been -established. The next logical set of algorithms to develop are addition, subtraction and digit shifting algorithms. These -algorithms make use of the lower level algorithms and are the cruicial building block for the multiplication algorithms. It is very important -that these algorithms are highly optimized. On their own they are simple $O(n)$ algorithms but they can be called from higher level algorithms -which easily places them at $O(n^2)$ or even $O(n^3)$ work levels. +At this point algorithms for initialization, clearing, zeroing, copying, comparing and setting small constants have been +established. The next logical set of algorithms to develop are addition, subtraction and digit shifting algorithms. These +algorithms make use of the lower level algorithms and are the cruicial building block for the multiplication algorithms. It is very important +that these algorithms are highly optimized. On their own they are simple $O(n)$ algorithms but they can be called from higher level algorithms +which easily places them at $O(n^2)$ or even $O(n^3)$ work levels. MARK,SHIFTS -All of the algorithms within this chapter make use of the logical bit shift operations denoted by $<<$ and $>>$ for left and right -logical shifts respectively. A logical shift is analogous to sliding the decimal point of radix-10 representations. For example, the real -number $0.9345$ is equivalent to $93.45\%$ which is found by sliding the the decimal two places to the right (\textit{multiplying by $\beta^2 = 10^2$}). -Algebraically a binary logical shift is equivalent to a division or multiplication by a power of two. +All of the algorithms within this chapter make use of the logical bit shift operations denoted by $<<$ and $>>$ for left and right +logical shifts respectively. A logical shift is analogous to sliding the decimal point of radix-10 representations. For example, the real +number $0.9345$ is equivalent to $93.45\%$ which is found by sliding the the decimal two places to the right (\textit{multiplying by $\beta^2 = 10^2$}). +Algebraically a binary logical shift is equivalent to a division or multiplication by a power of two. For example, $a << k = a \cdot 2^k$ while $a >> k = \lfloor a/2^k \rfloor$. One significant difference between a logical shift and the way decimals are shifted is that digits below the zero'th position are removed -from the number. For example, consider $1101_2 >> 1$ using decimal notation this would produce $110.1_2$. However, with a logical shift the -result is $110_2$. +from the number. For example, consider $1101_2 >> 1$ using decimal notation this would produce $110.1_2$. However, with a logical shift the +result is $110_2$. \section{Addition and Subtraction} In common twos complement fixed precision arithmetic negative numbers are easily represented by subtraction from the modulus. For example, with 32-bit integers -$a - b\mbox{ (mod }2^{32}\mbox{)}$ is the same as $a + (2^{32} - b) \mbox{ (mod }2^{32}\mbox{)}$ since $2^{32} \equiv 0 \mbox{ (mod }2^{32}\mbox{)}$. +$a - b\mbox{ (mod }2^{32}\mbox{)}$ is the same as $a + (2^{32} - b) \mbox{ (mod }2^{32}\mbox{)}$ since $2^{32} \equiv 0 \mbox{ (mod }2^{32}\mbox{)}$. As a result subtraction can be performed with a trivial series of logical operations and an addition. However, in multiple precision arithmetic negative numbers are not represented in the same way. Instead a sign flag is used to keep track of the -sign of the integer. As a result signed addition and subtraction are actually implemented as conditional usage of lower level addition or +sign of the integer. As a result signed addition and subtraction are actually implemented as conditional usage of lower level addition or subtraction algorithms with the sign fixed up appropriately. The lower level algorithms will add or subtract integers without regard to the sign flag. That is they will add or subtract the magnitude of the integers respectively. \subsection{Low Level Addition} -An unsigned addition of multiple precision integers is performed with the same long-hand algorithm used to add decimal numbers. That is to add the -trailing digits first and propagate the resulting carry upwards. Since this is a lower level algorithm the name will have a ``s\_'' prefix. +An unsigned addition of multiple precision integers is performed with the same long-hand algorithm used to add decimal numbers. That is to add the +trailing digits first and propagate the resulting carry upwards. Since this is a lower level algorithm the name will have a ``s\_'' prefix. Historically that convention stems from the MPI library where ``s\_'' stood for static functions that were hidden from the developer entirely. \newpage @@ -1614,18 +1603,18 @@ Historically that convention stems from the MPI library where ``s\_'' stood for \end{figure} \textbf{Algorithm s\_mp\_add.} -This algorithm is loosely based on algorithm 14.7 of HAC \cite[pp. 594]{HAC} but has been extended to allow the inputs to have different magnitudes. -Coincidentally the description of algorithm A in Knuth \cite[pp. 266]{TAOCPV2} shares the same deficiency as the algorithm from \cite{HAC}. Even the +This algorithm is loosely based on algorithm 14.7 of HAC \cite[pp. 594]{HAC} but has been extended to allow the inputs to have different magnitudes. +Coincidentally the description of algorithm A in Knuth \cite[pp. 266]{TAOCPV2} shares the same deficiency as the algorithm from \cite{HAC}. Even the MIX pseudo machine code presented by Knuth \cite[pp. 266-267]{TAOCPV2} is incapable of handling inputs which are of different magnitudes. The first thing that has to be accomplished is to sort out which of the two inputs is the largest. The addition logic will simply add all of the smallest input to the largest input and store that first part of the result in the destination. Then it will apply a simpler addition loop to excess digits of the larger input. -The first two steps will handle sorting the inputs such that $min$ and $max$ hold the digit counts of the two +The first two steps will handle sorting the inputs such that $min$ and $max$ hold the digit counts of the two inputs. The variable $x$ will be an mp\_int alias for the largest input or the second input $b$ if they have the -same number of digits. After the inputs are sorted the destination $c$ is grown as required to accomodate the sum -of the two inputs. The original \textbf{used} count of $c$ is copied and set to the new used count. +same number of digits. After the inputs are sorted the destination $c$ is grown as required to accomodate the sum +of the two inputs. The original \textbf{used} count of $c$ is copied and set to the new used count. At this point the first addition loop will go through as many digit positions that both inputs have. The carry variable $\mu$ is set to zero outside the loop. Inside the loop an ``addition'' step requires three statements to produce @@ -1644,32 +1633,32 @@ EXAM,bn_s_mp_add.c We first sort (lines @27,if@ to @35,}@) the inputs based on magnitude and determine the $min$ and $max$ variables. Note that $x$ is a pointer to an mp\_int assigned to the largest input, in effect it is a local alias. Next we -grow the destination (@37,init@ to @42,}@) ensure that it can accomodate the result of the addition. +grow the destination (@37,init@ to @42,}@) ensure that it can accomodate the result of the addition. -Similar to the implementation of mp\_copy this function uses the braced code and local aliases coding style. The three aliases that are on +Similar to the implementation of mp\_copy this function uses the braced code and local aliases coding style. The three aliases that are on lines @56,tmpa@, @59,tmpb@ and @62,tmpc@ represent the two inputs and destination variables respectively. These aliases are used to ensure the compiler does not have to dereference $a$, $b$ or $c$ (respectively) to access the digits of the respective mp\_int. -The initial carry $u$ will be cleared (line @65,u = 0@), note that $u$ is of type mp\_digit which ensures type +The initial carry $u$ will be cleared (line @65,u = 0@), note that $u$ is of type mp\_digit which ensures type compatibility within the implementation. The initial addition (line @66,for@ to @75,}@) adds digits from both inputs until the smallest input runs out of digits. Similarly the conditional addition loop -(line @81,for@ to @90,}@) adds the remaining digits from the larger of the two inputs. The addition is finished +(line @81,for@ to @90,}@) adds the remaining digits from the larger of the two inputs. The addition is finished with the final carry being stored in $tmpc$ (line @94,tmpc++@). Note the ``++'' operator within the same expression. After line @94,tmpc++@, $tmpc$ will point to the $c.used$'th digit of the mp\_int $c$. This is useful for the next loop (line @97,for@ to @99,}@) which set any old upper digits to zero. \subsection{Low Level Subtraction} The low level unsigned subtraction algorithm is very similar to the low level unsigned addition algorithm. The principle difference is that the -unsigned subtraction algorithm requires the result to be positive. That is when computing $a - b$ the condition $\vert a \vert \ge \vert b\vert$ must -be met for this algorithm to function properly. Keep in mind this low level algorithm is not meant to be used in higher level algorithms directly. +unsigned subtraction algorithm requires the result to be positive. That is when computing $a - b$ the condition $\vert a \vert \ge \vert b\vert$ must +be met for this algorithm to function properly. Keep in mind this low level algorithm is not meant to be used in higher level algorithms directly. This algorithm as will be shown can be used to create functional signed addition and subtraction algorithms. MARK,GAMMA For this algorithm a new variable is required to make the description simpler. Recall from section 1.3.1 that a mp\_digit must be able to represent -the range $0 \le x < 2\beta$ for the algorithms to work correctly. However, it is allowable that a mp\_digit represent a larger range of values. For -this algorithm we will assume that the variable $\gamma$ represents the number of bits available in a -mp\_digit (\textit{this implies $2^{\gamma} > \beta$}). +the range $0 \le x < 2\beta$ for the algorithms to work correctly. However, it is allowable that a mp\_digit represent a larger range of values. For +this algorithm we will assume that the variable $\gamma$ represents the number of bits available in a +mp\_digit (\textit{this implies $2^{\gamma} > \beta$}). For example, the default for LibTomMath is to use a ``unsigned long'' for the mp\_digit ``type'' while $\beta = 2^{28}$. In ISO C an ``unsigned long'' data type must be able to represent $0 \le x < 2^{32}$ meaning that in this case $\gamma \ge 32$. @@ -1685,7 +1674,7 @@ data type must be able to represent $0 \le x < 2^{32}$ meaning that in this case 1. $min \leftarrow b.used$ \\ 2. $max \leftarrow a.used$ \\ 3. If $c.alloc < max$ then grow $c$ to hold at least $max$ digits. (\textit{mp\_grow}) \\ -4. $oldused \leftarrow c.used$ \\ +4. $oldused \leftarrow c.used$ \\ 5. $c.used \leftarrow max$ \\ 6. $u \leftarrow 0$ \\ 7. for $n$ from $0$ to $min - 1$ do \\ @@ -1715,54 +1704,54 @@ passing variables $a$ and $b$ the condition that $\vert a \vert \ge \vert b \ver algorithm is loosely based on algorithm 14.9 \cite[pp. 595]{HAC} and is similar to algorithm S in \cite[pp. 267]{TAOCPV2} as well. As was the case of the algorithm s\_mp\_add both other references lack discussion concerning various practical details such as when the inputs differ in magnitude. -The initial sorting of the inputs is trivial in this algorithm since $a$ is guaranteed to have at least the same magnitude of $b$. Steps 1 and 2 -set the $min$ and $max$ variables. Unlike the addition routine there is guaranteed to be no carry which means that the final result can be at -most $max$ digits in length as opposed to $max + 1$. Similar to the addition algorithm the \textbf{used} count of $c$ is copied locally and +The initial sorting of the inputs is trivial in this algorithm since $a$ is guaranteed to have at least the same magnitude of $b$. Steps 1 and 2 +set the $min$ and $max$ variables. Unlike the addition routine there is guaranteed to be no carry which means that the final result can be at +most $max$ digits in length as opposed to $max + 1$. Similar to the addition algorithm the \textbf{used} count of $c$ is copied locally and set to the maximal count for the operation. -The subtraction loop that begins on step seven is essentially the same as the addition loop of algorithm s\_mp\_add except single precision -subtraction is used instead. Note the use of the $\gamma$ variable to extract the carry (\textit{also known as the borrow}) within the subtraction -loops. Under the assumption that two's complement single precision arithmetic is used this will successfully extract the desired carry. +The subtraction loop that begins on step seven is essentially the same as the addition loop of algorithm s\_mp\_add except single precision +subtraction is used instead. Note the use of the $\gamma$ variable to extract the carry (\textit{also known as the borrow}) within the subtraction +loops. Under the assumption that two's complement single precision arithmetic is used this will successfully extract the desired carry. -For example, consider subtracting $0101_2$ from $0100_2$ where $\gamma = 4$ and $\beta = 2$. The least significant bit will force a carry upwards to -the third bit which will be set to zero after the borrow. After the very first bit has been subtracted $4 - 1 \equiv 0011_2$ will remain, When the -third bit of $0101_2$ is subtracted from the result it will cause another carry. In this case though the carry will be forced to propagate all the -way to the most significant bit. +For example, consider subtracting $0101_2$ from $0100_2$ where $\gamma = 4$ and $\beta = 2$. The least significant bit will force a carry upwards to +the third bit which will be set to zero after the borrow. After the very first bit has been subtracted $4 - 1 \equiv 0011_2$ will remain, When the +third bit of $0101_2$ is subtracted from the result it will cause another carry. In this case though the carry will be forced to propagate all the +way to the most significant bit. -Recall that $\beta < 2^{\gamma}$. This means that if a carry does occur just before the $lg(\beta)$'th bit it will propagate all the way to the most +Recall that $\beta < 2^{\gamma}$. This means that if a carry does occur just before the $lg(\beta)$'th bit it will propagate all the way to the most significant bit. Thus, the high order bits of the mp\_digit that are not part of the actual digit will either be all zero, or all one. All that -is needed is a single zero or one bit for the carry. Therefore a single logical shift right by $\gamma - 1$ positions is sufficient to extract the -carry. This method of carry extraction may seem awkward but the reason for it becomes apparent when the implementation is discussed. +is needed is a single zero or one bit for the carry. Therefore a single logical shift right by $\gamma - 1$ positions is sufficient to extract the +carry. This method of carry extraction may seem awkward but the reason for it becomes apparent when the implementation is discussed. If $b$ has a smaller magnitude than $a$ then step 9 will force the carry and copy operation to propagate through the larger input $a$ into $c$. Step 10 will ensure that any leading digits of $c$ above the $max$'th position are zeroed. EXAM,bn_s_mp_sub.c -Like low level addition we ``sort'' the inputs. Except in this case the sorting is hardcoded -(lines @24,min@ and @25,max@). In reality the $min$ and $max$ variables are only aliases and are only -used to make the source code easier to read. Again the pointer alias optimization is used +Like low level addition we ``sort'' the inputs. Except in this case the sorting is hardcoded +(lines @24,min@ and @25,max@). In reality the $min$ and $max$ variables are only aliases and are only +used to make the source code easier to read. Again the pointer alias optimization is used within this algorithm. The aliases $tmpa$, $tmpb$ and $tmpc$ are initialized (lines @42,tmpa@, @43,tmpb@ and @44,tmpc@) for $a$, $b$ and $c$ respectively. The first subtraction loop (lines @47,u = 0@ through @61,}@) subtract digits from both inputs until the smaller of -the two inputs has been exhausted. As remarked earlier there is an implementation reason for using the ``awkward'' -method of extracting the carry (line @57, >>@). The traditional method for extracting the carry would be to shift -by $lg(\beta)$ positions and logically AND the least significant bit. The AND operation is required because all of -the bits above the $\lg(\beta)$'th bit will be set to one after a carry occurs from subtraction. This carry -extraction requires two relatively cheap operations to extract the carry. The other method is to simply shift the -most significant bit to the least significant bit thus extracting the carry with a single cheap operation. This +the two inputs has been exhausted. As remarked earlier there is an implementation reason for using the ``awkward'' +method of extracting the carry (line @57, >>@). The traditional method for extracting the carry would be to shift +by $lg(\beta)$ positions and logically AND the least significant bit. The AND operation is required because all of +the bits above the $\lg(\beta)$'th bit will be set to one after a carry occurs from subtraction. This carry +extraction requires two relatively cheap operations to extract the carry. The other method is to simply shift the +most significant bit to the least significant bit thus extracting the carry with a single cheap operation. This optimization only works on twos compliment machines which is a safe assumption to make. -If $a$ has a larger magnitude than $b$ an additional loop (lines @64,for@ through @73,}@) is required to propagate -the carry through $a$ and copy the result to $c$. +If $a$ has a larger magnitude than $b$ an additional loop (lines @64,for@ through @73,}@) is required to propagate +the carry through $a$ and copy the result to $c$. \subsection{High Level Addition} Now that both lower level addition and subtraction algorithms have been established an effective high level signed addition algorithm can be -established. This high level addition algorithm will be what other algorithms and developers will use to perform addition of mp\_int data -types. +established. This high level addition algorithm will be what other algorithms and developers will use to perform addition of mp\_int data +types. -Recall from section 5.2 that an mp\_int represents an integer with an unsigned mantissa (\textit{the array of digits}) and a \textbf{sign} +Recall from section 5.2 that an mp\_int represents an integer with an unsigned mantissa (\textit{the array of digits}) and a \textbf{sign} flag. A high level addition is actually performed as a series of eight separate cases which can be optimized down to three unique cases. \begin{figure}[!here] @@ -1790,8 +1779,8 @@ flag. A high level addition is actually performed as a series of eight separate \end{figure} \textbf{Algorithm mp\_add.} -This algorithm performs the signed addition of two mp\_int variables. There is no reference algorithm to draw upon from -either \cite{TAOCPV2} or \cite{HAC} since they both only provide unsigned operations. The algorithm is fairly +This algorithm performs the signed addition of two mp\_int variables. There is no reference algorithm to draw upon from +either \cite{TAOCPV2} or \cite{HAC} since they both only provide unsigned operations. The algorithm is fairly straightforward but restricted since subtraction can only produce positive results. \begin{figure}[here] @@ -1821,9 +1810,9 @@ straightforward but restricted since subtraction can only produce positive resul \label{fig:AddChart} \end{figure} -Figure~\ref{fig:AddChart} lists all of the eight possible input combinations and is sorted to show that only three -specific cases need to be handled. The return code of the unsigned operations at step 1.2, 2.1.2 and 2.2.2 are -forwarded to step three to check for errors. This simplifies the description of the algorithm considerably and best +Figure~\ref{fig:AddChart} lists all of the eight possible input combinations and is sorted to show that only three +specific cases need to be handled. The return code of the unsigned operations at step 1.2, 2.1.2 and 2.2.2 are +forwarded to step three to check for errors. This simplifies the description of the algorithm considerably and best follows how the implementation actually was achieved. Also note how the \textbf{sign} is set before the unsigned addition or subtraction is performed. Recall from the descriptions of algorithms @@ -1831,8 +1820,8 @@ s\_mp\_add and s\_mp\_sub that the mp\_clamp function is used at the end to trim to \textbf{MP\_ZPOS} when the \textbf{used} digit count reaches zero. For example, consider performing $-a + a$ with algorithm mp\_add. By the description of the algorithm the sign is set to \textbf{MP\_NEG} which would -produce a result of $-0$. However, since the sign is set first then the unsigned addition is performed the subsequent usage of algorithm mp\_clamp -within algorithm s\_mp\_add will force $-0$ to become $0$. +produce a result of $-0$. However, since the sign is set first then the unsigned addition is performed the subsequent usage of algorithm mp\_clamp +within algorithm s\_mp\_add will force $-0$ to become $0$. EXAM,bn_mp_add.c @@ -1842,7 +1831,7 @@ explicitly checking it and returning the constant \textbf{MP\_OKAY}. The observ level functions do so. Returning their return code is sufficient. \subsection{High Level Subtraction} -The high level signed subtraction algorithm is essentially the same as the high level signed addition algorithm. +The high level signed subtraction algorithm is essentially the same as the high level signed addition algorithm. \newpage\begin{figure}[!here] \begin{center} @@ -1872,7 +1861,7 @@ The high level signed subtraction algorithm is essentially the same as the high \end{figure} \textbf{Algorithm mp\_sub.} -This algorithm performs the signed subtraction of two inputs. Similar to algorithm mp\_add there is no reference in either \cite{TAOCPV2} or +This algorithm performs the signed subtraction of two inputs. Similar to algorithm mp\_add there is no reference in either \cite{TAOCPV2} or \cite{HAC}. Also this algorithm is restricted by algorithm s\_mp\_sub. Chart \ref{fig:SubChart} lists the eight possible inputs and the operations required. @@ -1899,28 +1888,28 @@ the operations required. \label{fig:SubChart} \end{figure} -Similar to the case of algorithm mp\_add the \textbf{sign} is set first before the unsigned addition or subtraction. That is to prevent the -algorithm from producing $-a - -a = -0$ as a result. +Similar to the case of algorithm mp\_add the \textbf{sign} is set first before the unsigned addition or subtraction. That is to prevent the +algorithm from producing $-a - -a = -0$ as a result. EXAM,bn_mp_sub.c Much like the implementation of algorithm mp\_add the variable $res$ is used to catch the return code of the unsigned addition or subtraction operations -and forward it to the end of the function. On line @38, != MP_LT@ the ``not equal to'' \textbf{MP\_LT} expression is used to emulate a -``greater than or equal to'' comparison. +and forward it to the end of the function. On line @38, != MP_LT@ the ``not equal to'' \textbf{MP\_LT} expression is used to emulate a +``greater than or equal to'' comparison. \section{Bit and Digit Shifting} MARK,POLY -It is quite common to think of a multiple precision integer as a polynomial in $x$, that is $y = f(\beta)$ where $f(x) = \sum_{i=0}^{n-1} a_i x^i$. -This notation arises within discussion of Montgomery and Diminished Radix Reduction as well as Karatsuba multiplication and squaring. +It is quite common to think of a multiple precision integer as a polynomial in $x$, that is $y = f(\beta)$ where $f(x) = \sum_{i=0}^{n-1} a_i x^i$. +This notation arises within discussion of Montgomery and Diminished Radix Reduction as well as Karatsuba multiplication and squaring. In order to facilitate operations on polynomials in $x$ as above a series of simple ``digit'' algorithms have to be established. That is to shift the digits left or right as well to shift individual bits of the digits left and right. It is important to note that not all ``shift'' operations -are on radix-$\beta$ digits. +are on radix-$\beta$ digits. \subsection{Multiplication by Two} -In a binary system where the radix is a power of two multiplication by two not only arises often in other algorithms it is a fairly efficient -operation to perform. A single precision logical shift left is sufficient to multiply a single digit by two. +In a binary system where the radix is a power of two multiplication by two not only arises often in other algorithms it is a fairly efficient +operation to perform. A single precision logical shift left is sufficient to multiply a single digit by two. \newpage\begin{figure}[!here] \begin{small} @@ -1954,26 +1943,26 @@ operation to perform. A single precision logical shift left is sufficient to mu \end{figure} \textbf{Algorithm mp\_mul\_2.} -This algorithm will quickly multiply a mp\_int by two provided $\beta$ is a power of two. Neither \cite{TAOCPV2} nor \cite{HAC} describe such -an algorithm despite the fact it arises often in other algorithms. The algorithm is setup much like the lower level algorithm s\_mp\_add since -it is for all intents and purposes equivalent to the operation $b = \vert a \vert + \vert a \vert$. +This algorithm will quickly multiply a mp\_int by two provided $\beta$ is a power of two. Neither \cite{TAOCPV2} nor \cite{HAC} describe such +an algorithm despite the fact it arises often in other algorithms. The algorithm is setup much like the lower level algorithm s\_mp\_add since +it is for all intents and purposes equivalent to the operation $b = \vert a \vert + \vert a \vert$. Step 1 and 2 grow the input as required to accomodate the maximum number of \textbf{used} digits in the result. The initial \textbf{used} count is set to $a.used$ at step 4. Only if there is a final carry will the \textbf{used} count require adjustment. -Step 6 is an optimization implementation of the addition loop for this specific case. That is since the two values being added together +Step 6 is an optimization implementation of the addition loop for this specific case. That is since the two values being added together are the same there is no need to perform two reads from the digits of $a$. Step 6.1 performs a single precision shift on the current digit $a_n$ to obtain what will be the carry for the next iteration. Step 6.2 calculates the $n$'th digit of the result as single precision shift of $a_n$ plus -the previous carry. Recall from ~SHIFTS~ that $a_n << 1$ is equivalent to $a_n \cdot 2$. An iteration of the addition loop is finished with +the previous carry. Recall from ~SHIFTS~ that $a_n << 1$ is equivalent to $a_n \cdot 2$. An iteration of the addition loop is finished with forwarding the carry to the next iteration. -Step 7 takes care of any final carry by setting the $a.used$'th digit of the result to the carry and augmenting the \textbf{used} count of $b$. +Step 7 takes care of any final carry by setting the $a.used$'th digit of the result to the carry and augmenting the \textbf{used} count of $b$. Step 8 clears any leading digits of $b$ in case it originally had a larger magnitude than $a$. EXAM,bn_mp_mul_2.c This implementation is essentially an optimized implementation of s\_mp\_add for the case of doubling an input. The only noteworthy difference -is the use of the logical shift operator on line @52,<<@ to perform a single precision doubling. +is the use of the logical shift operator on line @52,<<@ to perform a single precision doubling. \subsection{Division by Two} A division by two can just as easily be accomplished with a logical shift right as multiplication by two can be with a logical shift left. @@ -2014,26 +2003,26 @@ core as the basis of the algorithm. Unlike mp\_mul\_2 the shift operations work could be written to work from the trailing digit to the leading digit however, it would have to stop one short of $a.used - 1$ digits to prevent reading past the end of the array of digits. -Essentially the loop at step 6 is similar to that of mp\_mul\_2 except the logical shifts go in the opposite direction and the carry is at the -least significant bit not the most significant bit. +Essentially the loop at step 6 is similar to that of mp\_mul\_2 except the logical shifts go in the opposite direction and the carry is at the +least significant bit not the most significant bit. EXAM,bn_mp_div_2.c \section{Polynomial Basis Operations} Recall from ~POLY~ that any integer can be represented as a polynomial in $x$ as $y = f(\beta)$. Such a representation is also known as -the polynomial basis \cite[pp. 48]{ROSE}. Given such a notation a multiplication or division by $x$ amounts to shifting whole digits a single +the polynomial basis \cite[pp. 48]{ROSE}. Given such a notation a multiplication or division by $x$ amounts to shifting whole digits a single place. The need for such operations arises in several other higher level algorithms such as Barrett and Montgomery reduction, integer -division and Karatsuba multiplication. +division and Karatsuba multiplication. Converting from an array of digits to polynomial basis is very simple. Consider the integer $y \equiv (a_2, a_1, a_0)_{\beta}$ and recall that $y = \sum_{i=0}^{2} a_i \beta^i$. Simply replace $\beta$ with $x$ and the expression is in polynomial basis. For example, $f(x) = 8x + 9$ is the -polynomial basis representation for $89$ using radix ten. That is, $f(10) = 8(10) + 9 = 89$. +polynomial basis representation for $89$ using radix ten. That is, $f(10) = 8(10) + 9 = 89$. \subsection{Multiplication by $x$} -Given a polynomial in $x$ such as $f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_0$ multiplying by $x$ amounts to shifting the coefficients up one +Given a polynomial in $x$ such as $f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_0$ multiplying by $x$ amounts to shifting the coefficients up one degree. In this case $f(x) \cdot x = a_n x^{n+1} + a_{n-1} x^n + ... + a_0 x$. From a scalar basis point of view multiplying by $x$ is equivalent to -multiplying by the integer $\beta$. +multiplying by the integer $\beta$. \newpage\begin{figure}[!here] \begin{small} @@ -2064,16 +2053,16 @@ multiplying by the integer $\beta$. \end{figure} \textbf{Algorithm mp\_lshd.} -This algorithm multiplies an mp\_int by the $b$'th power of $x$. This is equivalent to multiplying by $\beta^b$. The algorithm differs +This algorithm multiplies an mp\_int by the $b$'th power of $x$. This is equivalent to multiplying by $\beta^b$. The algorithm differs from the other algorithms presented so far as it performs the operation in place instead storing the result in a separate location. The motivation behind this change is due to the way this function is typically used. Algorithms such as mp\_add store the result in an optionally different third mp\_int because the original inputs are often still required. Algorithm mp\_lshd (\textit{and similarly algorithm mp\_rshd}) is -typically used on values where the original value is no longer required. The algorithm will return success immediately if -$b \le 0$ since the rest of algorithm is only valid when $b > 0$. +typically used on values where the original value is no longer required. The algorithm will return success immediately if +$b \le 0$ since the rest of algorithm is only valid when $b > 0$. First the destination $a$ is grown as required to accomodate the result. The counters $i$ and $j$ are used to form a \textit{sliding window} over -the digits of $a$ of length $b$. The head of the sliding window is at $i$ (\textit{the leading digit}) and the tail at $j$ (\textit{the trailing digit}). -The loop on step 7 copies the digit from the tail to the head. In each iteration the window is moved down one digit. The last loop on +the digits of $a$ of length $b$. The head of the sliding window is at $i$ (\textit{the leading digit}) and the tail at $j$ (\textit{the trailing digit}). +The loop on step 7 copies the digit from the tail to the head. In each iteration the window is moved down one digit. The last loop on step 8 sets the lower $b$ digits to zero. \newpage @@ -2082,14 +2071,14 @@ FIGU,sliding_window,Sliding Window Movement EXAM,bn_mp_lshd.c The if statement (line @24,if@) ensures that the $b$ variable is greater than zero since we do not interpret negative -shift counts properly. The \textbf{used} count is incremented by $b$ before the copy loop begins. This elminates +shift counts properly. The \textbf{used} count is incremented by $b$ before the copy loop begins. This elminates the need for an additional variable in the for loop. The variable $top$ (line @42,top@) is an alias -for the leading digit while $bottom$ (line @45,bottom@) is an alias for the trailing edge. The aliases form a -window of exactly $b$ digits over the input. +for the leading digit while $bottom$ (line @45,bottom@) is an alias for the trailing edge. The aliases form a +window of exactly $b$ digits over the input. \subsection{Division by $x$} -Division by powers of $x$ is easily achieved by shifting the digits right and removing any that will end up to the right of the zero'th digit. +Division by powers of $x$ is easily achieved by shifting the digits right and removing any that will end up to the right of the zero'th digit. \newpage\begin{figure}[!here] \begin{small} @@ -2122,13 +2111,13 @@ Division by powers of $x$ is easily achieved by shifting the digits right and re \textbf{Algorithm mp\_rshd.} This algorithm divides the input in place by the $b$'th power of $x$. It is analogous to dividing by a $\beta^b$ but much quicker since -it does not require single precision division. This algorithm does not actually return an error code as it cannot fail. +it does not require single precision division. This algorithm does not actually return an error code as it cannot fail. If the input $b$ is less than one the algorithm quickly returns without performing any work. If the \textbf{used} count is less than or equal to the shift count $b$ then it will simply zero the input and return. After the trivial cases of inputs have been handled the sliding window is setup. Much like the case of algorithm mp\_lshd a sliding window that -is $b$ digits wide is used to copy the digits. Unlike mp\_lshd the window slides in the opposite direction from the trailing to the leading digit. +is $b$ digits wide is used to copy the digits. Unlike mp\_lshd the window slides in the opposite direction from the trailing to the leading digit. Also the digits are copied from the leading to the trailing edge. Once the window copy is complete the upper digits must be zeroed and the \textbf{used} count decremented. @@ -2141,9 +2130,9 @@ the upper digits of the input to make sure the result is correct. \section{Powers of Two} -Now that algorithms for moving single bits as well as whole digits exist algorithms for moving the ``in between'' distances are required. For +Now that algorithms for moving single bits as well as whole digits exist algorithms for moving the ``in between'' distances are required. For example, to quickly multiply by $2^k$ for any $k$ without using a full multiplier algorithm would prove useful. Instead of performing single -shifts $k$ times to achieve a multiplication by $2^{\pm k}$ a mixture of whole digit shifting and partial digit shifting is employed. +shifts $k$ times to achieve a multiplication by $2^{\pm k}$ a mixture of whole digit shifting and partial digit shifting is employed. \subsection{Multiplication by Power of Two} @@ -2184,29 +2173,29 @@ shifts $k$ times to achieve a multiplication by $2^{\pm k}$ a mixture of whole d This algorithm multiplies $a$ by $2^b$ and stores the result in $c$. The algorithm uses algorithm mp\_lshd and a derivative of algorithm mp\_mul\_2 to quickly compute the product. -First the algorithm will multiply $a$ by $x^{\lfloor b / lg(\beta) \rfloor}$ which will ensure that the remainder multiplicand is less than -$\beta$. For example, if $b = 37$ and $\beta = 2^{28}$ then this step will multiply by $x$ leaving a multiplication by $2^{37 - 28} = 2^{9}$ +First the algorithm will multiply $a$ by $x^{\lfloor b / lg(\beta) \rfloor}$ which will ensure that the remainder multiplicand is less than +$\beta$. For example, if $b = 37$ and $\beta = 2^{28}$ then this step will multiply by $x$ leaving a multiplication by $2^{37 - 28} = 2^{9}$ left. -After the digits have been shifted appropriately at most $lg(\beta) - 1$ shifts are left to perform. Step 5 calculates the number of remaining shifts -required. If it is non-zero a modified shift loop is used to calculate the remaining product. +After the digits have been shifted appropriately at most $lg(\beta) - 1$ shifts are left to perform. Step 5 calculates the number of remaining shifts +required. If it is non-zero a modified shift loop is used to calculate the remaining product. Essentially the loop is a generic version of algorithm mp\_mul\_2 designed to handle any shift count in the range $1 \le x < lg(\beta)$. The $mask$ -variable is used to extract the upper $d$ bits to form the carry for the next iteration. +variable is used to extract the upper $d$ bits to form the carry for the next iteration. -This algorithm is loosely measured as a $O(2n)$ algorithm which means that if the input is $n$-digits that it takes $2n$ ``time'' to +This algorithm is loosely measured as a $O(2n)$ algorithm which means that if the input is $n$-digits that it takes $2n$ ``time'' to complete. It is possible to optimize this algorithm down to a $O(n)$ algorithm at a cost of making the algorithm slightly harder to follow. EXAM,bn_mp_mul_2d.c -The shifting is performed in--place which means the first step (line @24,a != c@) is to copy the input to the +The shifting is performed in--place which means the first step (line @24,a != c@) is to copy the input to the destination. We avoid calling mp\_copy() by making sure the mp\_ints are different. The destination then has to be grown (line @31,grow@) to accomodate the result. -If the shift count $b$ is larger than $lg(\beta)$ then a call to mp\_lshd() is used to handle all of the multiples -of $lg(\beta)$. Leaving only a remaining shift of $lg(\beta) - 1$ or fewer bits left. Inside the actual shift +If the shift count $b$ is larger than $lg(\beta)$ then a call to mp\_lshd() is used to handle all of the multiples +of $lg(\beta)$. Leaving only a remaining shift of $lg(\beta) - 1$ or fewer bits left. Inside the actual shift loop (lines @45,if@ to @76,}@) we make use of pre--computed values $shift$ and $mask$. These are used to -extract the carry bit(s) to pass into the next iteration of the loop. The $r$ and $rr$ variables form a -chain between consecutive iterations to propagate the carry. +extract the carry bit(s) to pass into the next iteration of the loop. The $r$ and $rr$ variables form a +chain between consecutive iterations to propagate the carry. \subsection{Division by Power of Two} @@ -2244,14 +2233,14 @@ chain between consecutive iterations to propagate the carry. \end{figure} \textbf{Algorithm mp\_div\_2d.} -This algorithm will divide an input $a$ by $2^b$ and produce the quotient and remainder. The algorithm is designed much like algorithm +This algorithm will divide an input $a$ by $2^b$ and produce the quotient and remainder. The algorithm is designed much like algorithm mp\_mul\_2d by first using whole digit shifts then single precision shifts. This algorithm will also produce the remainder of the division by using algorithm mp\_mod\_2d. EXAM,bn_mp_div_2d.c -The implementation of algorithm mp\_div\_2d is slightly different than the algorithm specifies. The remainder $d$ may be optionally -ignored by passing \textbf{NULL} as the pointer to the mp\_int variable. The temporary mp\_int variable $t$ is used to hold the +The implementation of algorithm mp\_div\_2d is slightly different than the algorithm specifies. The remainder $d$ may be optionally +ignored by passing \textbf{NULL} as the pointer to the mp\_int variable. The temporary mp\_int variable $t$ is used to hold the result of the remainder operation until the end. This allows $d$ and $a$ to represent the same mp\_int without modifying $a$ before the quotient is obtained. @@ -2261,7 +2250,7 @@ the direction of the shifts. \subsection{Remainder of Division by Power of Two} The last algorithm in the series of polynomial basis power of two algorithms is calculating the remainder of division by $2^b$. This -algorithm benefits from the fact that in twos complement arithmetic $a \mbox{ (mod }2^b\mbox{)}$ is the same as $a$ AND $2^b - 1$. +algorithm benefits from the fact that in twos complement arithmetic $a \mbox{ (mod }2^b\mbox{)}$ is the same as $a$ AND $2^b - 1$. \begin{figure}[!here] \begin{small} @@ -2293,8 +2282,8 @@ algorithm benefits from the fact that in twos complement arithmetic $a \mbox{ (m \end{figure} \textbf{Algorithm mp\_mod\_2d.} -This algorithm will quickly calculate the value of $a \mbox{ (mod }2^b\mbox{)}$. First if $b$ is less than or equal to zero the -result is set to zero. If $b$ is greater than the number of bits in $a$ then it simply copies $a$ to $c$ and returns. Otherwise, $a$ +This algorithm will quickly calculate the value of $a \mbox{ (mod }2^b\mbox{)}$. First if $b$ is less than or equal to zero the +result is set to zero. If $b$ is greater than the number of bits in $a$ then it simply copies $a$ to $c$ and returns. Otherwise, $a$ is copied to $b$, leading digits are removed and the remaining leading digit is trimed to the exact bit count. EXAM,bn_mp_mod_2d.c @@ -2303,8 +2292,8 @@ We first avoid cases of $b \le 0$ by simply mp\_zero()'ing the destination in su than the input we just mp\_copy() the input and return right away. After this point we know we must actually perform some work to produce the remainder. -Recalling that reducing modulo $2^k$ and a binary ``and'' with $2^k - 1$ are numerically equivalent we can quickly reduce -the number. First we zero any digits above the last digit in $2^b$ (line @41,for@). Next we reduce the +Recalling that reducing modulo $2^k$ and a binary ``and'' with $2^k - 1$ are numerically equivalent we can quickly reduce +the number. First we zero any digits above the last digit in $2^b$ (line @41,for@). Next we reduce the leading digit of both (line @45,&=@) and then mp\_clamp(). \section*{Exercises} @@ -2338,40 +2327,40 @@ $\left [ 2 \right ] $ & Using only algorithms mp\_abs and mp\_sub devise another \chapter{Multiplication and Squaring} \section{The Multipliers} -For most number theoretic problems including certain public key cryptographic algorithms, the ``multipliers'' form the most important subset of -algorithms of any multiple precision integer package. The set of multiplier algorithms include integer multiplication, squaring and modular reduction -where in each of the algorithms single precision multiplication is the dominant operation performed. This chapter will discuss integer multiplication -and squaring, leaving modular reductions for the subsequent chapter. +For most number theoretic problems including certain public key cryptographic algorithms, the ``multipliers'' form the most important subset of +algorithms of any multiple precision integer package. The set of multiplier algorithms include integer multiplication, squaring and modular reduction +where in each of the algorithms single precision multiplication is the dominant operation performed. This chapter will discuss integer multiplication +and squaring, leaving modular reductions for the subsequent chapter. -The importance of the multiplier algorithms is for the most part driven by the fact that certain popular public key algorithms are based on modular +The importance of the multiplier algorithms is for the most part driven by the fact that certain popular public key algorithms are based on modular exponentiation, that is computing $d \equiv a^b \mbox{ (mod }c\mbox{)}$ for some arbitrary choice of $a$, $b$, $c$ and $d$. During a modular -exponentiation the majority\footnote{Roughly speaking a modular exponentiation will spend about 40\% of the time performing modular reductions, -35\% of the time performing squaring and 25\% of the time performing multiplications.} of the processor time is spent performing single precision +exponentiation the majority\footnote{Roughly speaking a modular exponentiation will spend about 40\% of the time performing modular reductions, +35\% of the time performing squaring and 25\% of the time performing multiplications.} of the processor time is spent performing single precision multiplications. -For centuries general purpose multiplication has required a lengthly $O(n^2)$ process, whereby each digit of one multiplicand has to be multiplied -against every digit of the other multiplicand. Traditional long-hand multiplication is based on this process; while the techniques can differ the -overall algorithm used is essentially the same. Only ``recently'' have faster algorithms been studied. First Karatsuba multiplication was discovered in -1962. This algorithm can multiply two numbers with considerably fewer single precision multiplications when compared to the long-hand approach. -This technique led to the discovery of polynomial basis algorithms (\textit{good reference?}) and subquently Fourier Transform based solutions. +For centuries general purpose multiplication has required a lengthly $O(n^2)$ process, whereby each digit of one multiplicand has to be multiplied +against every digit of the other multiplicand. Traditional long-hand multiplication is based on this process; while the techniques can differ the +overall algorithm used is essentially the same. Only ``recently'' have faster algorithms been studied. First Karatsuba multiplication was discovered in +1962. This algorithm can multiply two numbers with considerably fewer single precision multiplications when compared to the long-hand approach. +This technique led to the discovery of polynomial basis algorithms (\textit{good reference?}) and subquently Fourier Transform based solutions. \section{Multiplication} \subsection{The Baseline Multiplication} \label{sec:basemult} \index{baseline multiplication} Computing the product of two integers in software can be achieved using a trivial adaptation of the standard $O(n^2)$ long-hand multiplication -algorithm that school children are taught. The algorithm is considered an $O(n^2)$ algorithm since for two $n$-digit inputs $n^2$ single precision -multiplications are required. More specifically for a $m$ and $n$ digit input $m \cdot n$ single precision multiplications are required. To -simplify most discussions, it will be assumed that the inputs have comparable number of digits. - -The ``baseline multiplication'' algorithm is designed to act as the ``catch-all'' algorithm, only to be used when the faster algorithms cannot be -used. This algorithm does not use any particularly interesting optimizations and should ideally be avoided if possible. One important -facet of this algorithm, is that it has been modified to only produce a certain amount of output digits as resolution. The importance of this -modification will become evident during the discussion of Barrett modular reduction. Recall that for a $n$ and $m$ digit input the product -will be at most $n + m$ digits. Therefore, this algorithm can be reduced to a full multiplier by having it produce $n + m$ digits of the product. - -Recall from ~GAMMA~ the definition of $\gamma$ as the number of bits in the type \textbf{mp\_digit}. We shall now extend the variable set to -include $\alpha$ which shall represent the number of bits in the type \textbf{mp\_word}. This implies that $2^{\alpha} > 2 \cdot \beta^2$. The +algorithm that school children are taught. The algorithm is considered an $O(n^2)$ algorithm since for two $n$-digit inputs $n^2$ single precision +multiplications are required. More specifically for a $m$ and $n$ digit input $m \cdot n$ single precision multiplications are required. To +simplify most discussions, it will be assumed that the inputs have comparable number of digits. + +The ``baseline multiplication'' algorithm is designed to act as the ``catch-all'' algorithm, only to be used when the faster algorithms cannot be +used. This algorithm does not use any particularly interesting optimizations and should ideally be avoided if possible. One important +facet of this algorithm, is that it has been modified to only produce a certain amount of output digits as resolution. The importance of this +modification will become evident during the discussion of Barrett modular reduction. Recall that for a $n$ and $m$ digit input the product +will be at most $n + m$ digits. Therefore, this algorithm can be reduced to a full multiplier by having it produce $n + m$ digits of the product. + +Recall from ~GAMMA~ the definition of $\gamma$ as the number of bits in the type \textbf{mp\_digit}. We shall now extend the variable set to +include $\alpha$ which shall represent the number of bits in the type \textbf{mp\_word}. This implies that $2^{\alpha} > 2 \cdot \beta^2$. The constant $\delta = 2^{\alpha - 2lg(\beta)}$ will represent the maximal weight of any column in a product (\textit{see ~COMBA~ for more information}). \newpage\begin{figure}[!here] @@ -2415,20 +2404,20 @@ Compute the product. \\ \textbf{Algorithm s\_mp\_mul\_digs.} This algorithm computes the unsigned product of two inputs $a$ and $b$, limited to an output precision of $digs$ digits. While it may seem -a bit awkward to modify the function from its simple $O(n^2)$ description, the usefulness of partial multipliers will arise in a subsequent -algorithm. The algorithm is loosely based on algorithm 14.12 from \cite[pp. 595]{HAC} and is similar to Algorithm M of Knuth \cite[pp. 268]{TAOCPV2}. -Algorithm s\_mp\_mul\_digs differs from these cited references since it can produce a variable output precision regardless of the precision of the +a bit awkward to modify the function from its simple $O(n^2)$ description, the usefulness of partial multipliers will arise in a subsequent +algorithm. The algorithm is loosely based on algorithm 14.12 from \cite[pp. 595]{HAC} and is similar to Algorithm M of Knuth \cite[pp. 268]{TAOCPV2}. +Algorithm s\_mp\_mul\_digs differs from these cited references since it can produce a variable output precision regardless of the precision of the inputs. The first thing this algorithm checks for is whether a Comba multiplier can be used instead. If the minimum digit count of either -input is less than $\delta$, then the Comba method may be used instead. After the Comba method is ruled out, the baseline algorithm begins. A -temporary mp\_int variable $t$ is used to hold the intermediate result of the product. This allows the algorithm to be used to -compute products when either $a = c$ or $b = c$ without overwriting the inputs. +input is less than $\delta$, then the Comba method may be used instead. After the Comba method is ruled out, the baseline algorithm begins. A +temporary mp\_int variable $t$ is used to hold the intermediate result of the product. This allows the algorithm to be used to +compute products when either $a = c$ or $b = c$ without overwriting the inputs. All of step 5 is the infamous $O(n^2)$ multiplication loop slightly modified to only produce upto $digs$ digits of output. The $pb$ variable is given the count of digits to read from $b$ inside the nested loop. If $pb \le 1$ then no more output digits can be produced and the algorithm -will exit the loop. The best way to think of the loops are as a series of $pb \times 1$ multiplications. That is, in each pass of the -innermost loop $a_{ix}$ is multiplied against $b$ and the result is added (\textit{with an appropriate shift}) to $t$. +will exit the loop. The best way to think of the loops are as a series of $pb \times 1$ multiplications. That is, in each pass of the +innermost loop $a_{ix}$ is multiplied against $b$ and the result is added (\textit{with an appropriate shift}) to $t$. For example, consider multiplying $576$ by $241$. That is equivalent to computing $10^0(1)(576) + 10^1(4)(576) + 10^2(2)(576)$ which is best visualized in the following table. @@ -2442,20 +2431,20 @@ visualized in the following table. && & 5 & 7 & 6 & $10^0(1)(576)$ \\ &2 & 3 & 6 & 1 & 6 & $10^1(4)(576) + 10^0(1)(576)$ \\ 1 & 3 & 8 & 8 & 1 & 6 & $10^2(2)(576) + 10^1(4)(576) + 10^0(1)(576)$ \\ -\hline +\hline \end{tabular} \end{center} \caption{Long-Hand Multiplication Diagram} \end{figure} -Each row of the product is added to the result after being shifted to the left (\textit{multiplied by a power of the radix}) by the appropriate +Each row of the product is added to the result after being shifted to the left (\textit{multiplied by a power of the radix}) by the appropriate count. That is in pass $ix$ of the inner loop the product is added starting at the $ix$'th digit of the reult. Step 5.4.1 introduces the hat symbol (\textit{e.g. $\hat r$}) which represents a double precision variable. The multiplication on that step is assumed to be a double wide output single precision multiplication. That is, two single precision variables are multiplied to produce a double precision result. The step is somewhat optimized from a long-hand multiplication algorithm because the carry from the addition in step -5.4.1 is propagated through the nested loop. If the carry was not propagated immediately it would overflow the single precision digit -$t_{ix+iy}$ and the result would be lost. +5.4.1 is propagated through the nested loop. If the carry was not propagated immediately it would overflow the single precision digit +$t_{ix+iy}$ and the result would be lost. At step 5.5 the nested loop is finished and any carry that was left over should be forwarded. The carry does not have to be added to the $ix+pb$'th digit since that digit is assumed to be zero at this point. However, if $ix + pb \ge digs$ the carry is not set as it would make the result @@ -2463,53 +2452,53 @@ exceed the precision requested. EXAM,bn_s_mp_mul_digs.c -First we determine (line @30,if@) if the Comba method can be used first since it's faster. The conditions for -sing the Comba routine are that min$(a.used, b.used) < \delta$ and the number of digits of output is less than -\textbf{MP\_WARRAY}. This new constant is used to control the stack usage in the Comba routines. By default it is +First we determine (line @30,if@) if the Comba method can be used first since it's faster. The conditions for +sing the Comba routine are that min$(a.used, b.used) < \delta$ and the number of digits of output is less than +\textbf{MP\_WARRAY}. This new constant is used to control the stack usage in the Comba routines. By default it is set to $\delta$ but can be reduced when memory is at a premium. If we cannot use the Comba method we proceed to setup the baseline routine. We allocate the the destination mp\_int -$t$ (line @36,init@) to the exact size of the output to avoid further re--allocations. At this point we now +$t$ (line @36,init@) to the exact size of the output to avoid further re--allocations. At this point we now begin the $O(n^2)$ loop. This implementation of multiplication has the caveat that it can be trimmed to only produce a variable number of -digits as output. In each iteration of the outer loop the $pb$ variable is set (line @48,MIN@) to the maximum -number of inner loop iterations. +digits as output. In each iteration of the outer loop the $pb$ variable is set (line @48,MIN@) to the maximum +number of inner loop iterations. Inside the inner loop we calculate $\hat r$ as the mp\_word product of the two mp\_digits and the addition of the -carry from the previous iteration. A particularly important observation is that most modern optimizing -C compilers (GCC for instance) can recognize that a $N \times N \rightarrow 2N$ multiplication is all that +carry from the previous iteration. A particularly important observation is that most modern optimizing +C compilers (GCC for instance) can recognize that a $N \times N \rightarrow 2N$ multiplication is all that is required for the product. In x86 terms for example, this means using the MUL instruction. -Each digit of the product is stored in turn (line @68,tmpt@) and the carry propagated (line @71,>>@) to the +Each digit of the product is stored in turn (line @68,tmpt@) and the carry propagated (line @71,>>@) to the next iteration. \subsection{Faster Multiplication by the ``Comba'' Method} MARK,COMBA -One of the huge drawbacks of the ``baseline'' algorithms is that at the $O(n^2)$ level the carry must be -computed and propagated upwards. This makes the nested loop very sequential and hard to unroll and implement -in parallel. The ``Comba'' \cite{COMBA} method is named after little known (\textit{in cryptographic venues}) Paul G. -Comba who described a method of implementing fast multipliers that do not require nested carry fixup operations. As an -interesting aside it seems that Paul Barrett describes a similar technique in his 1986 paper \cite{BARRETT} written +One of the huge drawbacks of the ``baseline'' algorithms is that at the $O(n^2)$ level the carry must be +computed and propagated upwards. This makes the nested loop very sequential and hard to unroll and implement +in parallel. The ``Comba'' \cite{COMBA} method is named after little known (\textit{in cryptographic venues}) Paul G. +Comba who described a method of implementing fast multipliers that do not require nested carry fixup operations. As an +interesting aside it seems that Paul Barrett describes a similar technique in his 1986 paper \cite{BARRETT} written five years before. -At the heart of the Comba technique is once again the long-hand algorithm. Except in this case a slight -twist is placed on how the columns of the result are produced. In the standard long-hand algorithm rows of products -are produced then added together to form the final result. In the baseline algorithm the columns are added together -after each iteration to get the result instantaneously. +At the heart of the Comba technique is once again the long-hand algorithm. Except in this case a slight +twist is placed on how the columns of the result are produced. In the standard long-hand algorithm rows of products +are produced then added together to form the final result. In the baseline algorithm the columns are added together +after each iteration to get the result instantaneously. -In the Comba algorithm the columns of the result are produced entirely independently of each other. That is at -the $O(n^2)$ level a simple multiplication and addition step is performed. The carries of the columns are propagated -after the nested loop to reduce the amount of work requiored. Succintly the first step of the algorithm is to compute -the product vector $\vec x$ as follows. +In the Comba algorithm the columns of the result are produced entirely independently of each other. That is at +the $O(n^2)$ level a simple multiplication and addition step is performed. The carries of the columns are propagated +after the nested loop to reduce the amount of work requiored. Succintly the first step of the algorithm is to compute +the product vector $\vec x$ as follows. \begin{equation} \vec x_n = \sum_{i+j = n} a_ib_j, \forall n \in \lbrace 0, 1, 2, \ldots, i + j \rbrace \end{equation} Where $\vec x_n$ is the $n'th$ column of the output vector. Consider the following example which computes the vector $\vec x$ for the multiplication -of $576$ and $241$. +of $576$ and $241$. \newpage\begin{figure}[here] \begin{small} @@ -2520,15 +2509,15 @@ of $576$ and $241$. \hline & & $1 \cdot 5 = 5$ & $1 \cdot 7 = 7$ & $1 \cdot 6 = 6$ & First pass \\ & $4 \cdot 5 = 20$ & $4 \cdot 7+5=33$ & $4 \cdot 6+7=31$ & 6 & Second pass \\ $2 \cdot 5 = 10$ & $2 \cdot 7 + 20 = 34$ & $2 \cdot 6+33=45$ & 31 & 6 & Third pass \\ -\hline 10 & 34 & 45 & 31 & 6 & Final Result \\ -\hline +\hline 10 & 34 & 45 & 31 & 6 & Final Result \\ +\hline \end{tabular} \end{center} \end{small} \caption{Comba Multiplication Diagram} \end{figure} -At this point the vector $x = \left < 10, 34, 45, 31, 6 \right >$ is the result of the first step of the Comba multipler. +At this point the vector $x = \left < 10, 34, 45, 31, 6 \right >$ is the result of the first step of the Comba multipler. Now the columns must be fixed by propagating the carry upwards. The resultant vector will have one extra dimension over the input vector which is congruent to adding a leading zero digit. @@ -2551,16 +2540,16 @@ congruent to adding a leading zero digit. \caption{Algorithm Comba Fixup} \end{figure} -With that algorithm and $k = 5$ and $\beta = 10$ the following vector is produced $\vec x= \left < 1, 3, 8, 8, 1, 6 \right >$. In this case +With that algorithm and $k = 5$ and $\beta = 10$ the following vector is produced $\vec x= \left < 1, 3, 8, 8, 1, 6 \right >$. In this case $241 \cdot 576$ is in fact $138816$ and the procedure succeeded. If the algorithm is correct and as will be demonstrated shortly more efficient than the baseline algorithm why not simply always use this algorithm? \subsubsection{Column Weight.} -At the nested $O(n^2)$ level the Comba method adds the product of two single precision variables to each column of the output +At the nested $O(n^2)$ level the Comba method adds the product of two single precision variables to each column of the output independently. A serious obstacle is if the carry is lost, due to lack of precision before the algorithm has a chance to fix the carries. For example, in the multiplication of two three-digit numbers the third column of output will be the sum of three single precision multiplications. If the precision of the accumulator for the output digits is less then $3 \cdot (\beta - 1)^2$ then -an overflow can occur and the carry information will be lost. For any $m$ and $n$ digit inputs the maximum weight of any column is +an overflow can occur and the carry information will be lost. For any $m$ and $n$ digit inputs the maximum weight of any column is min$(m, n)$ which is fairly obvious. The maximum number of terms in any column of a product is known as the ``column weight'' and strictly governs when the algorithm can be used. Recall @@ -2571,7 +2560,7 @@ two quantities we must not violate the following k \cdot \left (\beta - 1 \right )^2 < 2^{\alpha} \end{equation} -Which reduces to +Which reduces to \begin{equation} k \cdot \left ( \beta^2 - 2\beta + 1 \right ) < 2^{\alpha} @@ -2584,9 +2573,9 @@ found. k < {{2^{\alpha}} \over {\left (2^{2\rho} - 2^{\rho + 1} + 1 \right )}} \end{equation} -The defaults for LibTomMath are $\beta = 2^{28}$ and $\alpha = 2^{64}$ which means that $k$ is bounded by $k < 257$. In this configuration -the smaller input may not have more than $256$ digits if the Comba method is to be used. This is quite satisfactory for most applications since -$256$ digits would allow for numbers in the range of $0 \le x < 2^{7168}$ which, is much larger than most public key cryptographic algorithms require. +The defaults for LibTomMath are $\beta = 2^{28}$ and $\alpha = 2^{64}$ which means that $k$ is bounded by $k < 257$. In this configuration +the smaller input may not have more than $256$ digits if the Comba method is to be used. This is quite satisfactory for most applications since +$256$ digits would allow for numbers in the range of $0 \le x < 2^{7168}$ which, is much larger than most public key cryptographic algorithms require. \newpage\begin{figure}[!here] \begin{small} @@ -2632,74 +2621,74 @@ Place an array of \textbf{MP\_WARRAY} single precision digits named $W$ on the s \textbf{Algorithm fast\_s\_mp\_mul\_digs.} This algorithm performs the unsigned multiplication of $a$ and $b$ using the Comba method limited to $digs$ digits of precision. -The outer loop of this algorithm is more complicated than that of the baseline multiplier. This is because on the inside of the +The outer loop of this algorithm is more complicated than that of the baseline multiplier. This is because on the inside of the loop we want to produce one column per pass. This allows the accumulator $\_ \hat W$ to be placed in CPU registers and reduce the memory bandwidth to two \textbf{mp\_digit} reads per iteration. The $ty$ variable is set to the minimum count of $ix$ or the number of digits in $b$. That way if $a$ has more digits than $b$ this will be limited to $b.used - 1$. The $tx$ variable is set to the to the distance past $b.used$ the variable -$ix$ is. This is used for the immediately subsequent statement where we find $iy$. +$ix$ is. This is used for the immediately subsequent statement where we find $iy$. The variable $iy$ is the minimum digits we can read from either $a$ or $b$ before running out. Computing one column at a time means we have to scan one integer upwards and the other downwards. $a$ starts at $tx$ and $b$ starts at $ty$. In each -pass we are producing the $ix$'th output column and we note that $tx + ty = ix$. As we move $tx$ upwards we have to -move $ty$ downards so the equality remains valid. The $iy$ variable is the number of iterations until +pass we are producing the $ix$'th output column and we note that $tx + ty = ix$. As we move $tx$ upwards we have to +move $ty$ downards so the equality remains valid. The $iy$ variable is the number of iterations until $tx \ge a.used$ or $ty < 0$ occurs. After every inner pass we store the lower half of the accumulator into $W_{ix}$ and then propagate the carry of the accumulator into the next round by dividing $\_ \hat W$ by $\beta$. -To measure the benefits of the Comba method over the baseline method consider the number of operations that are required. If the -cost in terms of time of a multiply and addition is $p$ and the cost of a carry propagation is $q$ then a baseline multiplication would require -$O \left ((p + q)n^2 \right )$ time to multiply two $n$-digit numbers. The Comba method requires only $O(pn^2 + qn)$ time, however in practice, +To measure the benefits of the Comba method over the baseline method consider the number of operations that are required. If the +cost in terms of time of a multiply and addition is $p$ and the cost of a carry propagation is $q$ then a baseline multiplication would require +$O \left ((p + q)n^2 \right )$ time to multiply two $n$-digit numbers. The Comba method requires only $O(pn^2 + qn)$ time, however in practice, the speed increase is actually much more. With $O(n)$ space the algorithm can be reduced to $O(pn + qn)$ time by implementing the $n$ multiply -and addition operations in the nested loop in parallel. +and addition operations in the nested loop in parallel. EXAM,bn_fast_s_mp_mul_digs.c As per the pseudo--code we first calculate $pa$ (line @47,MIN@) as the number of digits to output. Next we begin the outer loop to produce the individual columns of the product. We use the two aliases $tmpx$ and $tmpy$ (lines @61,tmpx@, @62,tmpy@) to point -inside the two multiplicands quickly. - -The inner loop (lines @70,for@ to @72,}@) of this implementation is where the tradeoff come into play. Originally this comba -implementation was ``row--major'' which means it adds to each of the columns in each pass. After the outer loop it would then fix -the carries. This was very fast except it had an annoying drawback. You had to read a mp\_word and two mp\_digits and write -one mp\_word per iteration. On processors such as the Athlon XP and P4 this did not matter much since the cache bandwidth -is very high and it can keep the ALU fed with data. It did, however, matter on older and embedded cpus where cache is often -slower and also often doesn't exist. This new algorithm only performs two reads per iteration under the assumption that the +inside the two multiplicands quickly. + +The inner loop (lines @70,for@ to @72,}@) of this implementation is where the tradeoff come into play. Originally this comba +implementation was ``row--major'' which means it adds to each of the columns in each pass. After the outer loop it would then fix +the carries. This was very fast except it had an annoying drawback. You had to read a mp\_word and two mp\_digits and write +one mp\_word per iteration. On processors such as the Athlon XP and P4 this did not matter much since the cache bandwidth +is very high and it can keep the ALU fed with data. It did, however, matter on older and embedded cpus where cache is often +slower and also often doesn't exist. This new algorithm only performs two reads per iteration under the assumption that the compiler has aliased $\_ \hat W$ to a CPU register. -After the inner loop we store the current accumulator in $W$ and shift $\_ \hat W$ (lines @75,W[ix]@, @78,>>@) to forward it as -a carry for the next pass. After the outer loop we use the final carry (line @82,W[ix]@) as the last digit of the product. +After the inner loop we store the current accumulator in $W$ and shift $\_ \hat W$ (lines @75,W[ix]@, @78,>>@) to forward it as +a carry for the next pass. After the outer loop we use the final carry (line @82,W[ix]@) as the last digit of the product. \subsection{Polynomial Basis Multiplication} To break the $O(n^2)$ barrier in multiplication requires a completely different look at integer multiplication. In the following algorithms -the use of polynomial basis representation for two integers $a$ and $b$ as $f(x) = \sum_{i=0}^{n} a_i x^i$ and +the use of polynomial basis representation for two integers $a$ and $b$ as $f(x) = \sum_{i=0}^{n} a_i x^i$ and $g(x) = \sum_{i=0}^{n} b_i x^i$ respectively, is required. In this system both $f(x)$ and $g(x)$ have $n + 1$ terms and are of the $n$'th degree. - + The product $a \cdot b \equiv f(x)g(x)$ is the polynomial $W(x) = \sum_{i=0}^{2n} w_i x^i$. The coefficients $w_i$ will directly yield the desired product when $\beta$ is substituted for $x$. The direct solution to solve for the $2n + 1$ coefficients requires $O(n^2)$ time and would in practice be slower than the Comba technique. -However, numerical analysis theory indicates that only $2n + 1$ distinct points in $W(x)$ are required to determine the values of the $2n + 1$ unknown -coefficients. This means by finding $\zeta_y = W(y)$ for $2n + 1$ small values of $y$ the coefficients of $W(x)$ can be found with -Gaussian elimination. This technique is also occasionally refered to as the \textit{interpolation technique} (\textit{references please...}) since in -effect an interpolation based on $2n + 1$ points will yield a polynomial equivalent to $W(x)$. +However, numerical analysis theory indicates that only $2n + 1$ distinct points in $W(x)$ are required to determine the values of the $2n + 1$ unknown +coefficients. This means by finding $\zeta_y = W(y)$ for $2n + 1$ small values of $y$ the coefficients of $W(x)$ can be found with +Gaussian elimination. This technique is also occasionally refered to as the \textit{interpolation technique} (\textit{references please...}) since in +effect an interpolation based on $2n + 1$ points will yield a polynomial equivalent to $W(x)$. -The coefficients of the polynomial $W(x)$ are unknown which makes finding $W(y)$ for any value of $y$ impossible. However, since -$W(x) = f(x)g(x)$ the equivalent $\zeta_y = f(y) g(y)$ can be used in its place. The benefit of this technique stems from the -fact that $f(y)$ and $g(y)$ are much smaller than either $a$ or $b$ respectively. As a result finding the $2n + 1$ relations required +The coefficients of the polynomial $W(x)$ are unknown which makes finding $W(y)$ for any value of $y$ impossible. However, since +$W(x) = f(x)g(x)$ the equivalent $\zeta_y = f(y) g(y)$ can be used in its place. The benefit of this technique stems from the +fact that $f(y)$ and $g(y)$ are much smaller than either $a$ or $b$ respectively. As a result finding the $2n + 1$ relations required by multiplying $f(y)g(y)$ involves multiplying integers that are much smaller than either of the inputs. When picking points to gather relations there are always three obvious points to choose, $y = 0, 1$ and $ \infty$. The $\zeta_0$ term -is simply the product $W(0) = w_0 = a_0 \cdot b_0$. The $\zeta_1$ term is the product +is simply the product $W(0) = w_0 = a_0 \cdot b_0$. The $\zeta_1$ term is the product $W(1) = \left (\sum_{i = 0}^{n} a_i \right ) \left (\sum_{i = 0}^{n} b_i \right )$. The third point $\zeta_{\infty}$ is less obvious but rather -simple to explain. The $2n + 1$'th coefficient of $W(x)$ is numerically equivalent to the most significant column in an integer multiplication. -The point at $\infty$ is used symbolically to represent the most significant column, that is $W(\infty) = w_{2n} = a_nb_n$. Note that the +simple to explain. The $2n + 1$'th coefficient of $W(x)$ is numerically equivalent to the most significant column in an integer multiplication. +The point at $\infty$ is used symbolically to represent the most significant column, that is $W(\infty) = w_{2n} = a_nb_n$. Note that the points at $y = 0$ and $\infty$ yield the coefficients $w_0$ and $w_{2n}$ directly. -If more points are required they should be of small values and powers of two such as $2^q$ and the related \textit{mirror points} -$\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ for small values of $q$. The term ``mirror point'' stems from the fact that +If more points are required they should be of small values and powers of two such as $2^q$ and the related \textit{mirror points} +$\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ for small values of $q$. The term ``mirror point'' stems from the fact that $\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ can be calculated in the exact opposite fashion as $\zeta_{2^q}$. For example, when $n = 2$ and $q = 1$ then following two equations are equivalent to the point $\zeta_{2}$ and its mirror. @@ -2709,10 +2698,10 @@ example, when $n = 2$ and $q = 1$ then following two equations are equivalent to \end{eqnarray} Using such points will allow the values of $f(y)$ and $g(y)$ to be independently calculated using only left shifts. For example, when $n = 2$ the -polynomial $f(2^q)$ is equal to $2^q((2^qa_2) + a_1) + a_0$. This technique of polynomial representation is known as Horner's method. +polynomial $f(2^q)$ is equal to $2^q((2^qa_2) + a_1) + a_0$. This technique of polynomial representation is known as Horner's method. -As a general rule of the algorithm when the inputs are split into $n$ parts each there are $2n - 1$ multiplications. Each multiplication is of -multiplicands that have $n$ times fewer digits than the inputs. The asymptotic running time of this algorithm is +As a general rule of the algorithm when the inputs are split into $n$ parts each there are $2n - 1$ multiplications. Each multiplication is of +multiplicands that have $n$ times fewer digits than the inputs. The asymptotic running time of this algorithm is $O \left ( k^{lg_n(2n - 1)} \right )$ for $k$ digit inputs (\textit{assuming they have the same number of digits}). Figure~\ref{fig:exponent} summarizes the exponents for various values of $n$. @@ -2737,23 +2726,23 @@ summarizes the exponents for various values of $n$. At first it may seem like a good idea to choose $n = 1000$ since the exponent is approximately $1.1$. However, the overhead of solving for the 2001 terms of $W(x)$ will certainly consume any savings the algorithm could offer for all but exceedingly large -numbers. +numbers. \subsubsection{Cutoff Point} -The polynomial basis multiplication algorithms all require fewer single precision multiplications than a straight Comba approach. However, +The polynomial basis multiplication algorithms all require fewer single precision multiplications than a straight Comba approach. However, the algorithms incur an overhead (\textit{at the $O(n)$ work level}) since they require a system of equations to be solved. This makes the polynomial basis approach more costly to use with small inputs. -Let $m$ represent the number of digits in the multiplicands (\textit{assume both multiplicands have the same number of digits}). There exists a -point $y$ such that when $m < y$ the polynomial basis algorithms are more costly than Comba, when $m = y$ they are roughly the same cost and -when $m > y$ the Comba methods are slower than the polynomial basis algorithms. +Let $m$ represent the number of digits in the multiplicands (\textit{assume both multiplicands have the same number of digits}). There exists a +point $y$ such that when $m < y$ the polynomial basis algorithms are more costly than Comba, when $m = y$ they are roughly the same cost and +when $m > y$ the Comba methods are slower than the polynomial basis algorithms. The exact location of $y$ depends on several key architectural elements of the computer platform in question. \begin{enumerate} \item The ratio of clock cycles for single precision multiplication versus other simpler operations such as addition, shifting, etc. For example on the AMD Athlon the ratio is roughly $17 : 1$ while on the Intel P4 it is $29 : 1$. The higher the ratio in favour of multiplication the lower -the cutoff point $y$ will be. +the cutoff point $y$ will be. \item The complexity of the linear system of equations (\textit{for the coefficients of $W(x)$}) is. Generally speaking as the number of splits grows the complexity grows substantially. Ideally solving the system will only involve addition, subtraction and shifting of integers. This @@ -2766,11 +2755,11 @@ influence over the cutoff point. A clean cutoff point separation occurs when a point $y$ is found such that all of the cutoff point conditions are met. For example, if the point is too low then there will be values of $m$ such that $m > y$ and the Comba method is still faster. Finding the cutoff points is fairly simple when -a high resolution timer is available. +a high resolution timer is available. \subsection{Karatsuba Multiplication} Karatsuba \cite{KARA} multiplication when originally proposed in 1962 was among the first set of algorithms to break the $O(n^2)$ barrier for -general purpose multiplication. Given two polynomial basis representations $f(x) = ax + b$ and $g(x) = cx + d$, Karatsuba proved with +general purpose multiplication. Given two polynomial basis representations $f(x) = ax + b$ and $g(x) = cx + d$, Karatsuba proved with light algebra \cite{KARAP} that the following polynomial is equivalent to multiplication of the two integers the polynomials represent. \begin{equation} @@ -2778,8 +2767,8 @@ f(x) \cdot g(x) = acx^2 + ((a + b)(c + d) - (ac + bd))x + bd \end{equation} Using the observation that $ac$ and $bd$ could be re-used only three half sized multiplications would be required to produce the product. Applying -this algorithm recursively, the work factor becomes $O(n^{lg(3)})$ which is substantially better than the work factor $O(n^2)$ of the Comba technique. It turns -out what Karatsuba did not know or at least did not publish was that this is simply polynomial basis multiplication with the points +this algorithm recursively, the work factor becomes $O(n^{lg(3)})$ which is substantially better than the work factor $O(n^2)$ of the Comba technique. It turns +out what Karatsuba did not know or at least did not publish was that this is simply polynomial basis multiplication with the points $\zeta_0$, $\zeta_{\infty}$ and $\zeta_{1}$. Consider the resultant system of equations. \begin{center} @@ -2792,7 +2781,7 @@ $\zeta_{\infty}$ & $=$ & $w_2$ & & & & \\ By adding the first and last equation to the equation in the middle the term $w_1$ can be isolated and all three coefficients solved for. The simplicity of this system of equations has made Karatsuba fairly popular. In fact the cutoff point is often fairly low\footnote{With LibTomMath 0.18 it is 70 and 109 digits for the Intel P4 and AMD Athlon respectively.} -making it an ideal algorithm to speed up certain public key cryptosystems such as RSA and Diffie-Hellman. +making it an ideal algorithm to speed up certain public key cryptosystems such as RSA and Diffie-Hellman. \newpage\begin{figure}[!here] \begin{small} @@ -2830,7 +2819,7 @@ Calculate the final product. \\ 18. $c \leftarrow t1 + x1y1$ \\ 19. Clear all of the temporary variables. \\ 20. Return(\textit{MP\_OKAY}).\\ -\hline +\hline \end{tabular} \end{center} \end{small} @@ -2839,13 +2828,13 @@ Calculate the final product. \\ \textbf{Algorithm mp\_karatsuba\_mul.} This algorithm computes the unsigned product of two inputs using the Karatsuba multiplication algorithm. It is loosely based on the description -from Knuth \cite[pp. 294-295]{TAOCPV2}. +from Knuth \cite[pp. 294-295]{TAOCPV2}. \index{radix point} In order to split the two inputs into their respective halves, a suitable \textit{radix point} must be chosen. The radix point chosen must -be used for both of the inputs meaning that it must be smaller than the smallest input. Step 3 chooses the radix point $B$ as half of the -smallest input \textbf{used} count. After the radix point is chosen the inputs are split into lower and upper halves. Step 4 and 5 -compute the lower halves. Step 6 and 7 computer the upper halves. +be used for both of the inputs meaning that it must be smaller than the smallest input. Step 3 chooses the radix point $B$ as half of the +smallest input \textbf{used} count. After the radix point is chosen the inputs are split into lower and upper halves. Step 4 and 5 +compute the lower halves. Step 6 and 7 computer the upper halves. After the halves have been computed the three intermediate half-size products must be computed. Step 8 and 9 compute the trivial products $x0 \cdot y0$ and $x1 \cdot y1$. The mp\_int $x0$ is used as a temporary variable after $x1 + x0$ has been computed. By using $x0$ instead @@ -2857,29 +2846,29 @@ EXAM,bn_mp_karatsuba_mul.c The new coding element in this routine, not seen in previous routines, is the usage of goto statements. The conventional wisdom is that goto statements should be avoided. This is generally true, however when every single function call can fail, it makes sense -to handle error recovery with a single piece of code. Lines @61,if@ to @75,if@ handle initializing all of the temporary variables +to handle error recovery with a single piece of code. Lines @61,if@ to @75,if@ handle initializing all of the temporary variables required. Note how each of the if statements goes to a different label in case of failure. This allows the routine to correctly free only the temporaries that have been successfully allocated so far. -The temporary variables are all initialized using the mp\_init\_size routine since they are expected to be large. This saves the +The temporary variables are all initialized using the mp\_init\_size routine since they are expected to be large. This saves the additional reallocation that would have been necessary. Also $x0$, $x1$, $y0$ and $y1$ have to be able to hold at least their respective number of digits for the next section of code. The first algebraic portion of the algorithm is to split the two inputs into their halves. However, instead of using mp\_mod\_2d and mp\_rshd -to extract the halves, the respective code has been placed inline within the body of the function. To initialize the halves, the \textbf{used} and -\textbf{sign} members are copied first. The first for loop on line @98,for@ copies the lower halves. Since they are both the same magnitude it -is simpler to calculate both lower halves in a single loop. The for loop on lines @104,for@ and @109,for@ calculate the upper halves $x1$ and +to extract the halves, the respective code has been placed inline within the body of the function. To initialize the halves, the \textbf{used} and +\textbf{sign} members are copied first. The first for loop on line @98,for@ copies the lower halves. Since they are both the same magnitude it +is simpler to calculate both lower halves in a single loop. The for loop on lines @104,for@ and @109,for@ calculate the upper halves $x1$ and $y1$ respectively. By inlining the calculation of the halves, the Karatsuba multiplier has a slightly lower overhead and can be used for smaller magnitude inputs. When line @152,err@ is reached, the algorithm has completed succesfully. The ``error status'' variable $err$ is set to \textbf{MP\_OKAY} so that -the same code that handles errors can be used to clear the temporary variables and return. +the same code that handles errors can be used to clear the temporary variables and return. \subsection{Toom-Cook $3$-Way Multiplication} -Toom-Cook $3$-Way \cite{TOOM} multiplication is essentially the polynomial basis algorithm for $n = 2$ except that the points are -chosen such that $\zeta$ is easy to compute and the resulting system of equations easy to reduce. Here, the points $\zeta_{0}$, -$16 \cdot \zeta_{1 \over 2}$, $\zeta_1$, $\zeta_2$ and $\zeta_{\infty}$ make up the five required points to solve for the coefficients +Toom-Cook $3$-Way \cite{TOOM} multiplication is essentially the polynomial basis algorithm for $n = 2$ except that the points are +chosen such that $\zeta$ is easy to compute and the resulting system of equations easy to reduce. Here, the points $\zeta_{0}$, +$16 \cdot \zeta_{1 \over 2}$, $\zeta_1$, $\zeta_2$ and $\zeta_{\infty}$ make up the five required points to solve for the coefficients of the $W(x)$. With the five relations that Toom-Cook specifies, the following system of equations is formed. @@ -2897,7 +2886,7 @@ $\zeta_{\infty}$ & $=$ & $1w_4$ & $+$ & $0w_3$ & $+$ & $0w_2$ & $+$ A trivial solution to this matrix requires $12$ subtractions, two multiplications by a small power of two, two divisions by a small power of two, two divisions by three and one multiplication by three. All of these $19$ sub-operations require less than quadratic time, meaning that the algorithm can be faster than a baseline multiplication. However, the greater complexity of this algorithm places the cutoff point -(\textbf{TOOM\_MUL\_CUTOFF}) where Toom-Cook becomes more efficient much higher than the Karatsuba cutoff point. +(\textbf{TOOM\_MUL\_CUTOFF}) where Toom-Cook becomes more efficient much higher than the Karatsuba cutoff point. \begin{figure}[!here] \begin{small} @@ -2967,7 +2956,7 @@ Now substitute $\beta^k$ for $x$ by shifting $w_0, w_1, ..., w_4$. \\ \end{figure} \textbf{Algorithm mp\_toom\_mul.} -This algorithm computes the product of two mp\_int variables $a$ and $b$ using the Toom-Cook approach. Compared to the Karatsuba multiplication, this +This algorithm computes the product of two mp\_int variables $a$ and $b$ using the Toom-Cook approach. Compared to the Karatsuba multiplication, this algorithm has a lower asymptotic running time of approximately $O(n^{1.464})$ but at an obvious cost in overhead. In this description, several statements have been compounded to save space. The intention is that the statements are executed from left to right across any given step. @@ -2979,34 +2968,34 @@ The first two relations $w_0$ and $w_4$ are the points $\zeta_{0}$ and $\zeta_{\ to the points $16 \cdot \zeta_{1 \over 2}, \zeta_{2}$ and $\zeta_{1}$ respectively. These are found using logical shifts to independently find $f(y)$ and $g(y)$ which significantly speeds up the algorithm. -After the five relations $w_0, w_1, \ldots, w_4$ have been computed, the system they represent must be solved in order for the unknown coefficients +After the five relations $w_0, w_1, \ldots, w_4$ have been computed, the system they represent must be solved in order for the unknown coefficients $w_1, w_2$ and $w_3$ to be isolated. The steps 18 through 25 perform the system reduction required as previously described. Each step of the reduction represents the comparable matrix operation that would be performed had this been performed by pencil. For example, step 18 indicates -that row $1$ must be subtracted from row $4$ and simultaneously row $0$ subtracted from row $3$. +that row $1$ must be subtracted from row $4$ and simultaneously row $0$ subtracted from row $3$. -Once the coeffients have been isolated, the polynomial $W(x) = \sum_{i=0}^{2n} w_i x^i$ is known. By substituting $\beta^{k}$ for $x$, the integer +Once the coeffients have been isolated, the polynomial $W(x) = \sum_{i=0}^{2n} w_i x^i$ is known. By substituting $\beta^{k}$ for $x$, the integer result $a \cdot b$ is produced. EXAM,bn_mp_toom_mul.c -The first obvious thing to note is that this algorithm is complicated. The complexity is worth it if you are multiplying very +The first obvious thing to note is that this algorithm is complicated. The complexity is worth it if you are multiplying very large numbers. For example, a 10,000 digit multiplication takes approximaly 99,282,205 fewer single precision multiplications with Toom--Cook than a Comba or baseline approach (this is a savings of more than 99$\%$). For most ``crypto'' sized numbers this algorithm is not practical as Karatsuba has a much lower cutoff point. -First we split $a$ and $b$ into three roughly equal portions. This has been accomplished (lines @40,mod@ to @69,rshd@) with +First we split $a$ and $b$ into three roughly equal portions. This has been accomplished (lines @40,mod@ to @69,rshd@) with combinations of mp\_rshd() and mp\_mod\_2d() function calls. At this point $a = a2 \cdot \beta^2 + a1 \cdot \beta + a0$ and similiarly -for $b$. +for $b$. Next we compute the five points $w0, w1, w2, w3$ and $w4$. Recall that $w0$ and $w4$ can be computed directly from the portions so we get those out of the way first (lines @72,mul@ and @77,mul@). Next we compute $w1, w2$ and $w3$ using Horners method. After this point we solve for the actual values of $w1, w2$ and $w3$ by reducing the $5 \times 5$ system which is relatively -straight forward. +straight forward. \subsection{Signed Multiplication} Now that algorithms to handle multiplications of every useful dimensions have been developed, a rather simple finishing touch is required. So far all -of the multiplication algorithms have been unsigned multiplications which leaves only a signed multiplication algorithm to be established. +of the multiplication algorithms have been unsigned multiplications which leaves only a signed multiplication algorithm to be established. \begin{figure}[!here] \begin{small} @@ -3040,24 +3029,24 @@ of the multiplication algorithms have been unsigned multiplications which leaves \end{figure} \textbf{Algorithm mp\_mul.} -This algorithm performs the signed multiplication of two inputs. It will make use of any of the three unsigned multiplication algorithms +This algorithm performs the signed multiplication of two inputs. It will make use of any of the three unsigned multiplication algorithms available when the input is of appropriate size. The \textbf{sign} of the result is not set until the end of the algorithm since algorithm -s\_mp\_mul\_digs will clear it. +s\_mp\_mul\_digs will clear it. EXAM,bn_mp_mul.c -The implementation is rather simplistic and is not particularly noteworthy. Line @22,?@ computes the sign of the result using the ``?'' -operator from the C programming language. Line @37,<<@ computes $\delta$ using the fact that $1 << k$ is equal to $2^k$. +The implementation is rather simplistic and is not particularly noteworthy. Line @22,?@ computes the sign of the result using the ``?'' +operator from the C programming language. Line @37,<<@ computes $\delta$ using the fact that $1 << k$ is equal to $2^k$. \section{Squaring} \label{sec:basesquare} Squaring is a special case of multiplication where both multiplicands are equal. At first it may seem like there is no significant optimization available but in fact there is. Consider the multiplication of $576$ against $241$. In total there will be nine single precision multiplications -performed which are $1\cdot 6$, $1 \cdot 7$, $1 \cdot 5$, $4 \cdot 6$, $4 \cdot 7$, $4 \cdot 5$, $2 \cdot 6$, $2 \cdot 7$ and $2 \cdot 5$. Now consider -the multiplication of $123$ against $123$. The nine products are $3 \cdot 3$, $3 \cdot 2$, $3 \cdot 1$, $2 \cdot 3$, $2 \cdot 2$, $2 \cdot 1$, -$1 \cdot 3$, $1 \cdot 2$ and $1 \cdot 1$. On closer inspection some of the products are equivalent. For example, $3 \cdot 2 = 2 \cdot 3$ -and $3 \cdot 1 = 1 \cdot 3$. +performed which are $1\cdot 6$, $1 \cdot 7$, $1 \cdot 5$, $4 \cdot 6$, $4 \cdot 7$, $4 \cdot 5$, $2 \cdot 6$, $2 \cdot 7$ and $2 \cdot 5$. Now consider +the multiplication of $123$ against $123$. The nine products are $3 \cdot 3$, $3 \cdot 2$, $3 \cdot 1$, $2 \cdot 3$, $2 \cdot 2$, $2 \cdot 1$, +$1 \cdot 3$, $1 \cdot 2$ and $1 \cdot 1$. On closer inspection some of the products are equivalent. For example, $3 \cdot 2 = 2 \cdot 3$ +and $3 \cdot 1 = 1 \cdot 3$. For any $n$-digit input, there are ${{\left (n^2 + n \right)}\over 2}$ possible unique single precision multiplications required compared to the $n^2$ required for multiplication. The following diagram gives an example of the operations required. @@ -3077,19 +3066,19 @@ $\times$ &&1&2&3&\\ MARK,SQUARE Starting from zero and numbering the columns from right to left a very simple pattern becomes obvious. For the purposes of this discussion let $x$ -represent the number being squared. The first observation is that in row $k$ the $2k$'th column of the product has a $\left (x_k \right)^2$ term in it. +represent the number being squared. The first observation is that in row $k$ the $2k$'th column of the product has a $\left (x_k \right)^2$ term in it. The second observation is that every column $j$ in row $k$ where $j \ne 2k$ is part of a double product. Every non-square term of a column will -appear twice hence the name ``double product''. Every odd column is made up entirely of double products. In fact every column is made up of double -products and at most one square (\textit{see the exercise section}). +appear twice hence the name ``double product''. Every odd column is made up entirely of double products. In fact every column is made up of double +products and at most one square (\textit{see the exercise section}). -The third and final observation is that for row $k$ the first unique non-square term, that is, one that hasn't already appeared in an earlier row, -occurs at column $2k + 1$. For example, on row $1$ of the previous squaring, column one is part of the double product with column one from row zero. +The third and final observation is that for row $k$ the first unique non-square term, that is, one that hasn't already appeared in an earlier row, +occurs at column $2k + 1$. For example, on row $1$ of the previous squaring, column one is part of the double product with column one from row zero. Column two of row one is a square and column three is the first unique column. \subsection{The Baseline Squaring Algorithm} The baseline squaring algorithm is meant to be a catch-all squaring algorithm. It will handle any of the input sizes that the faster routines -will not handle. +will not handle. \begin{figure}[!here] \begin{small} @@ -3131,30 +3120,30 @@ will not handle. \textbf{Algorithm s\_mp\_sqr.} This algorithm computes the square of an input using the three observations on squaring. It is based fairly faithfully on algorithm 14.16 of HAC -\cite[pp.596-597]{HAC}. Similar to algorithm s\_mp\_mul\_digs, a temporary mp\_int is allocated to hold the result of the squaring. This allows the +\cite[pp.596-597]{HAC}. Similar to algorithm s\_mp\_mul\_digs, a temporary mp\_int is allocated to hold the result of the squaring. This allows the destination mp\_int to be the same as the source mp\_int. The outer loop of this algorithm begins on step 4. It is best to think of the outer loop as walking down the rows of the partial results, while the inner loop computes the columns of the partial result. Step 4.1 and 4.2 compute the square term for each row, and step 4.3 and 4.4 propagate -the carry and compute the double products. +the carry and compute the double products. The requirement that a mp\_word be able to represent the range $0 \le x < 2 \beta^2$ arises from this very algorithm. The product $a_{ix}a_{iy}$ will lie in the range $0 \le x \le \beta^2 - 2\beta + 1$ which is obviously less than $\beta^2$ meaning that when it is multiplied by two, it can be properly represented by a mp\_word. -Similar to algorithm s\_mp\_mul\_digs, after every pass of the inner loop, the destination is correctly set to the sum of all of the partial -results calculated so far. This involves expensive carry propagation which will be eliminated in the next algorithm. +Similar to algorithm s\_mp\_mul\_digs, after every pass of the inner loop, the destination is correctly set to the sum of all of the partial +results calculated so far. This involves expensive carry propagation which will be eliminated in the next algorithm. EXAM,bn_s_mp_sqr.c Inside the outer loop (line @32,for@) the square term is calculated on line @35,r =@. The carry (line @42,>>@) has been -extracted from the mp\_word accumulator using a right shift. Aliases for $a_{ix}$ and $t_{ix+iy}$ are initialized +extracted from the mp\_word accumulator using a right shift. Aliases for $a_{ix}$ and $t_{ix+iy}$ are initialized (lines @45,tmpx@ and @48,tmpt@) to simplify the inner loop. The doubling is performed using two -additions (line @57,r + r@) since it is usually faster than shifting, if not at least as fast. +additions (line @57,r + r@) since it is usually faster than shifting, if not at least as fast. The important observation is that the inner loop does not begin at $iy = 0$ like for multiplication. As such the inner loops get progressively shorter as the algorithm proceeds. This is what leads to the savings compared to using a multiplication to -square a number. +square a number. \subsection{Faster Squaring by the ``Comba'' Method} A major drawback to the baseline method is the requirement for single precision shifting inside the $O(n^2)$ nested loop. Squaring has an additional @@ -3164,10 +3153,10 @@ performance hazards. The first obvious solution is to make an array of mp\_words which will hold all of the columns. This will indeed eliminate all of the carry propagation operations from the inner loop. However, the inner product must still be doubled $O(n^2)$ times. The solution stems from the simple fact that $2a + 2b + 2c = 2(a + b + c)$. That is the sum of all of the double products is equal to double the sum of all the products. For example, -$ab + ba + ac + ca = 2ab + 2ac = 2(ab + ac)$. +$ab + ba + ac + ca = 2ab + 2ac = 2(ab + ac)$. -However, we cannot simply double all of the columns, since the squares appear only once per row. The most practical solution is to have two -mp\_word arrays. One array will hold the squares and the other array will hold the double products. With both arrays the doubling and +However, we cannot simply double all of the columns, since the squares appear only once per row. The most practical solution is to have two +mp\_word arrays. One array will hold the squares and the other array will hold the double products. With both arrays the doubling and carry propagation can be moved to a $O(n)$ work level outside the $O(n^2)$ level. In this case, we have an even simpler solution in mind. \newpage\begin{figure}[!here] @@ -3205,7 +3194,7 @@ Place an array of \textbf{MP\_WARRAY} mp\_digits named $W$ on the stack. \\ 9. for $ix$ from $pa$ to $oldused - 1$ do \\ \hspace{3mm}9.1 $b_{ix} \leftarrow 0$ \\ 10. Clamp excess digits from $b$. (\textit{mp\_clamp}) \\ -11. Return(\textit{MP\_OKAY}). \\ +11. Return(\textit{MP\_OKAY}). \\ \hline \end{tabular} \end{center} @@ -3214,8 +3203,8 @@ Place an array of \textbf{MP\_WARRAY} mp\_digits named $W$ on the stack. \\ \end{figure} \textbf{Algorithm fast\_s\_mp\_sqr.} -This algorithm computes the square of an input using the Comba technique. It is designed to be a replacement for algorithm -s\_mp\_sqr when the number of input digits is less than \textbf{MP\_WARRAY} and less than $\delta \over 2$. +This algorithm computes the square of an input using the Comba technique. It is designed to be a replacement for algorithm +s\_mp\_sqr when the number of input digits is less than \textbf{MP\_WARRAY} and less than $\delta \over 2$. This algorithm is very similar to the Comba multiplier except with a few key differences we shall make note of. First, we have an accumulator and carry variables $\_ \hat W$ and $\hat W1$ respectively. This is because the inner loop @@ -3230,35 +3219,35 @@ only to even outputs and it is the square of the term at the $\lfloor ix / 2 \rf EXAM,bn_fast_s_mp_sqr.c -This implementation is essentially a copy of Comba multiplication with the appropriate changes added to make it faster for -the special case of squaring. +This implementation is essentially a copy of Comba multiplication with the appropriate changes added to make it faster for +the special case of squaring. \subsection{Polynomial Basis Squaring} The same algorithm that performs optimal polynomial basis multiplication can be used to perform polynomial basis squaring. The minor exception is that $\zeta_y = f(y)g(y)$ is actually equivalent to $\zeta_y = f(y)^2$ since $f(y) = g(y)$. Instead of performing $2n + 1$ -multiplications to find the $\zeta$ relations, squaring operations are performed instead. +multiplications to find the $\zeta$ relations, squaring operations are performed instead. \subsection{Karatsuba Squaring} -Let $f(x) = ax + b$ represent the polynomial basis representation of a number to square. -Let $h(x) = \left ( f(x) \right )^2$ represent the square of the polynomial. The Karatsuba equation can be modified to square a +Let $f(x) = ax + b$ represent the polynomial basis representation of a number to square. +Let $h(x) = \left ( f(x) \right )^2$ represent the square of the polynomial. The Karatsuba equation can be modified to square a number with the following equation. \begin{equation} h(x) = a^2x^2 + \left ((a + b)^2 - (a^2 + b^2) \right )x + b^2 \end{equation} -Upon closer inspection this equation only requires the calculation of three half-sized squares: $a^2$, $b^2$ and $(a + b)^2$. As in -Karatsuba multiplication, this algorithm can be applied recursively on the input and will achieve an asymptotic running time of +Upon closer inspection this equation only requires the calculation of three half-sized squares: $a^2$, $b^2$ and $(a + b)^2$. As in +Karatsuba multiplication, this algorithm can be applied recursively on the input and will achieve an asymptotic running time of $O \left ( n^{lg(3)} \right )$. -If the asymptotic times of Karatsuba squaring and multiplication are the same, why not simply use the multiplication algorithm -instead? The answer to this arises from the cutoff point for squaring. As in multiplication there exists a cutoff point, at which the -time required for a Comba based squaring and a Karatsuba based squaring meet. Due to the overhead inherent in the Karatsuba method, the cutoff -point is fairly high. For example, on an AMD Athlon XP processor with $\beta = 2^{28}$, the cutoff point is around 127 digits. +If the asymptotic times of Karatsuba squaring and multiplication are the same, why not simply use the multiplication algorithm +instead? The answer to this arises from the cutoff point for squaring. As in multiplication there exists a cutoff point, at which the +time required for a Comba based squaring and a Karatsuba based squaring meet. Due to the overhead inherent in the Karatsuba method, the cutoff +point is fairly high. For example, on an AMD Athlon XP processor with $\beta = 2^{28}$, the cutoff point is around 127 digits. -Consider squaring a 200 digit number with this technique. It will be split into two 100 digit halves which are subsequently squared. +Consider squaring a 200 digit number with this technique. It will be split into two 100 digit halves which are subsequently squared. The 100 digit halves will not be squared using Karatsuba, but instead using the faster Comba based squaring algorithm. If Karatsuba multiplication -were used instead, the 100 digit numbers would be squared with a slower Comba based multiplication. +were used instead, the 100 digit numbers would be squared with a slower Comba based multiplication. \newpage\begin{figure}[!here] \begin{small} @@ -3312,7 +3301,7 @@ Now if $5n$ single precision additions and a squaring of $n$-digits is faster th this method is faster. Assuming no further recursions occur, the difference can be estimated with the following inequality. Let $p$ represent the cost of a single precision addition and $q$ the cost of a single precision multiplication both in terms of time\footnote{Or -machine clock cycles.}. +machine clock cycles.}. \begin{equation} 5pn +{{q(n^2 + n)} \over 2} \le pn + qn^2 @@ -3330,27 +3319,27 @@ ${13 \over 9}$ & $<$ & $n$ \\ This results in a cutoff point around $n = 2$. As a consequence it is actually faster to compute the middle term the ``long way'' on processors where multiplication is substantially slower\footnote{On the Athlon there is a 1:17 ratio between clock cycles for addition and multiplication. On the Intel P4 processor this ratio is 1:29 making this method even more beneficial. The only common exception is the ARMv4 processor which has a -ratio of 1:7. } than simpler operations such as addition. +ratio of 1:7. } than simpler operations such as addition. EXAM,bn_mp_karatsuba_sqr.c -This implementation is largely based on the implementation of algorithm mp\_karatsuba\_mul. It uses the same inline style to copy and +This implementation is largely based on the implementation of algorithm mp\_karatsuba\_mul. It uses the same inline style to copy and shift the input into the two halves. The loop from line @54,{@ to line @70,}@ has been modified since only one input exists. The \textbf{used} count of both $x0$ and $x1$ is fixed up and $x0$ is clamped before the calculations begin. At this point $x1$ and $x0$ are valid equivalents -to the respective halves as if mp\_rshd and mp\_mod\_2d had been used. +to the respective halves as if mp\_rshd and mp\_mod\_2d had been used. By inlining the copy and shift operations the cutoff point for Karatsuba multiplication can be lowered. On the Athlon the cutoff point is exactly at the point where Comba squaring can no longer be used (\textit{128 digits}). On slower processors such as the Intel P4 it is actually below the Comba limit (\textit{at 110 digits}). -This routine uses the same error trap coding style as mp\_karatsuba\_sqr. As the temporary variables are initialized errors are -redirected to the error trap higher up. If the algorithm completes without error the error code is set to \textbf{MP\_OKAY} and +This routine uses the same error trap coding style as mp\_karatsuba\_sqr. As the temporary variables are initialized errors are +redirected to the error trap higher up. If the algorithm completes without error the error code is set to \textbf{MP\_OKAY} and mp\_clears are executed normally. \subsection{Toom-Cook Squaring} The Toom-Cook squaring algorithm mp\_toom\_sqr is heavily based on the algorithm mp\_toom\_mul with the exception that squarings are used -instead of multiplication to find the five relations. The reader is encouraged to read the description of the latter algorithm and try to -derive their own Toom-Cook squaring algorithm. +instead of multiplication to find the five relations. The reader is encouraged to read the description of the latter algorithm and try to +derive their own Toom-Cook squaring algorithm. \subsection{High Level Squaring} \newpage\begin{figure}[!here] @@ -3383,7 +3372,7 @@ derive their own Toom-Cook squaring algorithm. \textbf{Algorithm mp\_sqr.} This algorithm computes the square of the input using one of four different algorithms. If the input is very large and has at least \textbf{TOOM\_SQR\_CUTOFF} or \textbf{KARATSUBA\_SQR\_CUTOFF} digits then either the Toom-Cook or the Karatsuba Squaring algorithm is used. If -neither of the polynomial basis algorithms should be used then either the Comba or baseline algorithm is used. +neither of the polynomial basis algorithms should be used then either the Comba or baseline algorithm is used. EXAM,bn_mp_sqr.c @@ -3394,11 +3383,11 @@ $\left [ 3 \right ] $ & Devise an efficient algorithm for selection of the radix & \\ $\left [ 2 \right ] $ & In ~SQUARE~ the fact that every column of a squaring is made up \\ & of double products and at most one square is stated. Prove this statement. \\ - & \\ + & \\ $\left [ 3 \right ] $ & Prove the equation for Karatsuba squaring. \\ & \\ $\left [ 1 \right ] $ & Prove that Karatsuba squaring requires $O \left (n^{lg(3)} \right )$ time. \\ - & \\ + & \\ $\left [ 2 \right ] $ & Determine the minimal ratio between addition and multiplication clock cycles \\ & required for equation $6.7$ to be true. \\ & \\ @@ -3416,61 +3405,61 @@ $\left [ 4 \right ] $ & Same as the previous but also modify the Karatsuba and T MARK,REDUCTION \section{Basics of Modular Reduction} \index{modular residue} -Modular reduction is an operation that arises quite often within public key cryptography algorithms and various number theoretic algorithms, +Modular reduction is an operation that arises quite often within public key cryptography algorithms and various number theoretic algorithms, such as factoring. Modular reduction algorithms are the third class of algorithms of the ``multipliers'' set. A number $a$ is said to be \textit{reduced} -modulo another number $b$ by finding the remainder of the division $a/b$. Full integer division with remainder is a topic to be covered +modulo another number $b$ by finding the remainder of the division $a/b$. Full integer division with remainder is a topic to be covered in~\ref{sec:division}. -Modular reduction is equivalent to solving for $r$ in the following equation. $a = bq + r$ where $q = \lfloor a/b \rfloor$. The result -$r$ is said to be ``congruent to $a$ modulo $b$'' which is also written as $r \equiv a \mbox{ (mod }b\mbox{)}$. In other vernacular $r$ is known as the +Modular reduction is equivalent to solving for $r$ in the following equation. $a = bq + r$ where $q = \lfloor a/b \rfloor$. The result +$r$ is said to be ``congruent to $a$ modulo $b$'' which is also written as $r \equiv a \mbox{ (mod }b\mbox{)}$. In other vernacular $r$ is known as the ``modular residue'' which leads to ``quadratic residue''\footnote{That's fancy talk for $b \equiv a^2 \mbox{ (mod }p\mbox{)}$.} and -other forms of residues. +other forms of residues. -Modular reductions are normally used to create either finite groups, rings or fields. The most common usage for performance driven modular reductions -is in modular exponentiation algorithms. That is to compute $d = a^b \mbox{ (mod }c\mbox{)}$ as fast as possible. This operation is used in the -RSA and Diffie-Hellman public key algorithms, for example. Modular multiplication and squaring also appears as a fundamental operation in -elliptic curve cryptographic algorithms. As will be discussed in the subsequent chapter there exist fast algorithms for computing modular -exponentiations without having to perform (\textit{in this example}) $b - 1$ multiplications. These algorithms will produce partial results in the -range $0 \le x < c^2$ which can be taken advantage of to create several efficient algorithms. They have also been used to create redundancy check -algorithms known as CRCs, error correction codes such as Reed-Solomon and solve a variety of number theoeretic problems. +Modular reductions are normally used to create either finite groups, rings or fields. The most common usage for performance driven modular reductions +is in modular exponentiation algorithms. That is to compute $d = a^b \mbox{ (mod }c\mbox{)}$ as fast as possible. This operation is used in the +RSA and Diffie-Hellman public key algorithms, for example. Modular multiplication and squaring also appears as a fundamental operation in +elliptic curve cryptographic algorithms. As will be discussed in the subsequent chapter there exist fast algorithms for computing modular +exponentiations without having to perform (\textit{in this example}) $b - 1$ multiplications. These algorithms will produce partial results in the +range $0 \le x < c^2$ which can be taken advantage of to create several efficient algorithms. They have also been used to create redundancy check +algorithms known as CRCs, error correction codes such as Reed-Solomon and solve a variety of number theoeretic problems. \section{The Barrett Reduction} The Barrett reduction algorithm \cite{BARRETT} was inspired by fast division algorithms which multiply by the reciprocal to emulate -division. Barretts observation was that the residue $c$ of $a$ modulo $b$ is equal to +division. Barretts observation was that the residue $c$ of $a$ modulo $b$ is equal to \begin{equation} c = a - b \cdot \lfloor a/b \rfloor \end{equation} -Since algorithms such as modular exponentiation would be using the same modulus extensively, typical DSP\footnote{It is worth noting that Barrett's paper -targeted the DSP56K processor.} intuition would indicate the next step would be to replace $a/b$ by a multiplication by the reciprocal. However, -DSP intuition on its own will not work as these numbers are considerably larger than the precision of common DSP floating point data types. +Since algorithms such as modular exponentiation would be using the same modulus extensively, typical DSP\footnote{It is worth noting that Barrett's paper +targeted the DSP56K processor.} intuition would indicate the next step would be to replace $a/b$ by a multiplication by the reciprocal. However, +DSP intuition on its own will not work as these numbers are considerably larger than the precision of common DSP floating point data types. It would take another common optimization to optimize the algorithm. \subsection{Fixed Point Arithmetic} The trick used to optimize the above equation is based on a technique of emulating floating point data types with fixed precision integers. Fixed -point arithmetic would become very popular as it greatly optimize the ``3d-shooter'' genre of games in the mid 1990s when floating point units were -fairly slow if not unavailable. The idea behind fixed point arithmetic is to take a normal $k$-bit integer data type and break it into $p$-bit -integer and a $q$-bit fraction part (\textit{where $p+q = k$}). +point arithmetic would become very popular as it greatly optimize the ``3d-shooter'' genre of games in the mid 1990s when floating point units were +fairly slow if not unavailable. The idea behind fixed point arithmetic is to take a normal $k$-bit integer data type and break it into $p$-bit +integer and a $q$-bit fraction part (\textit{where $p+q = k$}). In this system a $k$-bit integer $n$ would actually represent $n/2^q$. For example, with $q = 4$ the integer $n = 37$ would actually represent the -value $2.3125$. To multiply two fixed point numbers the integers are multiplied using traditional arithmetic and subsequently normalized by -moving the implied decimal point back to where it should be. For example, with $q = 4$ to multiply the integers $9$ and $5$ they must be converted -to fixed point first by multiplying by $2^q$. Let $a = 9(2^q)$ represent the fixed point representation of $9$ and $b = 5(2^q)$ represent the -fixed point representation of $5$. The product $ab$ is equal to $45(2^{2q})$ which when normalized by dividing by $2^q$ produces $45(2^q)$. +value $2.3125$. To multiply two fixed point numbers the integers are multiplied using traditional arithmetic and subsequently normalized by +moving the implied decimal point back to where it should be. For example, with $q = 4$ to multiply the integers $9$ and $5$ they must be converted +to fixed point first by multiplying by $2^q$. Let $a = 9(2^q)$ represent the fixed point representation of $9$ and $b = 5(2^q)$ represent the +fixed point representation of $5$. The product $ab$ is equal to $45(2^{2q})$ which when normalized by dividing by $2^q$ produces $45(2^q)$. This technique became popular since a normal integer multiplication and logical shift right are the only required operations to perform a multiplication -of two fixed point numbers. Using fixed point arithmetic, division can be easily approximated by multiplying by the reciprocal. If $2^q$ is -equivalent to one than $2^q/b$ is equivalent to the fixed point approximation of $1/b$ using real arithmetic. Using this fact dividing an integer +of two fixed point numbers. Using fixed point arithmetic, division can be easily approximated by multiplying by the reciprocal. If $2^q$ is +equivalent to one than $2^q/b$ is equivalent to the fixed point approximation of $1/b$ using real arithmetic. Using this fact dividing an integer $a$ by another integer $b$ can be achieved with the following expression. \begin{equation} \lfloor a / b \rfloor \mbox{ }\approx\mbox{ } \lfloor (a \cdot \lfloor 2^q / b \rfloor)/2^q \rfloor \end{equation} -The precision of the division is proportional to the value of $q$. If the divisor $b$ is used frequently as is the case with +The precision of the division is proportional to the value of $q$. If the divisor $b$ is used frequently as is the case with modular exponentiation pre-computing $2^q/b$ will allow a division to be performed with a multiplication and a right shift. Both operations -are considerably faster than division on most processors. +are considerably faster than division on most processors. Consider dividing $19$ by $5$. The correct result is $\lfloor 19/5 \rfloor = 3$. With $q = 3$ the reciprocal is $\lfloor 2^q/5 \rfloor = 1$ which leads to a product of $19$ which when divided by $2^q$ produces $2$. However, with $q = 4$ the reciprocal is $\lfloor 2^q/5 \rfloor = 3$ and @@ -3491,11 +3480,11 @@ c = a - b \cdot \lfloor (a \cdot \mu)/2^q \rfloor Provided that $2^q \ge a$ this algorithm will produce a quotient that is either exactly correct or off by a value of one. In the context of Barrett reduction the value of $a$ is bound by $0 \le a \le (b - 1)^2$ meaning that $2^q \ge b^2$ is sufficient to ensure the reciprocal will have enough -precision. +precision. -Let $n$ represent the number of digits in $b$. This algorithm requires approximately $2n^2$ single precision multiplications to produce the quotient and -another $n^2$ single precision multiplications to find the residue. In total $3n^2$ single precision multiplications are required to -reduce the number. +Let $n$ represent the number of digits in $b$. This algorithm requires approximately $2n^2$ single precision multiplications to produce the quotient and +another $n^2$ single precision multiplications to find the residue. In total $3n^2$ single precision multiplications are required to +reduce the number. For example, if $b = 1179677$ and $q = 41$ ($2^q > b^2$), then the reciprocal $\mu$ is equal to $\lfloor 2^q / b \rfloor = 1864089$. Consider reducing $a = 180388626447$ modulo $b$ using the above reduction equation. The quotient using the new formula is $\lfloor (a \cdot \mu) / 2^q \rfloor = 152913$. @@ -3503,19 +3492,19 @@ By subtracting $152913b$ from $a$ the correct residue $a \equiv 677346 \mbox{ (m \subsection{Choosing a Radix Point} Using the fixed point representation a modular reduction can be performed with $3n^2$ single precision multiplications. If that were the best -that could be achieved a full division\footnote{A division requires approximately $O(2cn^2)$ single precision multiplications for a small value of $c$. +that could be achieved a full division\footnote{A division requires approximately $O(2cn^2)$ single precision multiplications for a small value of $c$. See~\ref{sec:division} for further details.} might as well be used in its place. The key to optimizing the reduction is to reduce the precision of -the initial multiplication that finds the quotient. +the initial multiplication that finds the quotient. Let $a$ represent the number of which the residue is sought. Let $b$ represent the modulus used to find the residue. Let $m$ represent -the number of digits in $b$. For the purposes of this discussion we will assume that the number of digits in $a$ is $2m$, which is generally true if -two $m$-digit numbers have been multiplied. Dividing $a$ by $b$ is the same as dividing a $2m$ digit integer by a $m$ digit integer. Digits below the +the number of digits in $b$. For the purposes of this discussion we will assume that the number of digits in $a$ is $2m$, which is generally true if +two $m$-digit numbers have been multiplied. Dividing $a$ by $b$ is the same as dividing a $2m$ digit integer by a $m$ digit integer. Digits below the $m - 1$'th digit of $a$ will contribute at most a value of $1$ to the quotient because $\beta^k < b$ for any $0 \le k \le m - 1$. Another way to -express this is by re-writing $a$ as two parts. If $a' \equiv a \mbox{ (mod }b^m\mbox{)}$ and $a'' = a - a'$ then +express this is by re-writing $a$ as two parts. If $a' \equiv a \mbox{ (mod }b^m\mbox{)}$ and $a'' = a - a'$ then ${a \over b} \equiv {{a' + a''} \over b}$ which is equivalent to ${a' \over b} + {a'' \over b}$. Since $a'$ is bound to be less than $b$ the quotient is bound by $0 \le {a' \over b} < 1$. -Since the digits of $a'$ do not contribute much to the quotient the observation is that they might as well be zero. However, if the digits +Since the digits of $a'$ do not contribute much to the quotient the observation is that they might as well be zero. However, if the digits ``might as well be zero'' they might as well not be there in the first place. Let $q_0 = \lfloor a/\beta^{m-1} \rfloor$ represent the input with the irrelevant digits trimmed. Now the modular reduction is trimmed to the almost equivalent equation @@ -3523,52 +3512,52 @@ with the irrelevant digits trimmed. Now the modular reduction is trimmed to the c = a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor \end{equation} -Note that the original divisor $2^q$ has been replaced with $\beta^{m+1}$ where in this case $q$ is a multiple of $lg(\beta)$. Also note that the -exponent on the divisor when added to the amount $q_0$ was shifted by equals $2m$. If the optimization had not been performed the divisor -would have the exponent $2m$ so in the end the exponents do ``add up''. Using the above equation the quotient +Note that the original divisor $2^q$ has been replaced with $\beta^{m+1}$ where in this case $q$ is a multiple of $lg(\beta)$. Also note that the +exponent on the divisor when added to the amount $q_0$ was shifted by equals $2m$. If the optimization had not been performed the divisor +would have the exponent $2m$ so in the end the exponents do ``add up''. Using the above equation the quotient $\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ can be off from the true quotient by at most two. The original fixed point quotient can be off by as much as one (\textit{provided the radix point is chosen suitably}) and now that the lower irrelevent digits have been trimmed the quotient -can be off by an additional value of one for a total of at most two. This implies that -$0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. By first subtracting $b$ times the quotient and then conditionally subtracting +can be off by an additional value of one for a total of at most two. This implies that +$0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. By first subtracting $b$ times the quotient and then conditionally subtracting $b$ once or twice the residue is found. The quotient is now found using $(m + 1)(m) = m^2 + m$ single precision multiplications and the residue with an additional $m^2$ single -precision multiplications, ignoring the subtractions required. In total $2m^2 + m$ single precision multiplications are required to find the residue. +precision multiplications, ignoring the subtractions required. In total $2m^2 + m$ single precision multiplications are required to find the residue. This is considerably faster than the original attempt. -For example, let $\beta = 10$ represent the radix of the digits. Let $b = 9999$ represent the modulus which implies $m = 4$. Let $a = 99929878$ -represent the value of which the residue is desired. In this case $q = 8$ since $10^7 < 9999^2$ meaning that $\mu = \lfloor \beta^{q}/b \rfloor = 10001$. -With the new observation the multiplicand for the quotient is equal to $q_0 = \lfloor a / \beta^{m - 1} \rfloor = 99929$. The quotient is then -$\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor = 9993$. Subtracting $9993b$ from $a$ and the correct residue $a \equiv 9871 \mbox{ (mod }b\mbox{)}$ -is found. +For example, let $\beta = 10$ represent the radix of the digits. Let $b = 9999$ represent the modulus which implies $m = 4$. Let $a = 99929878$ +represent the value of which the residue is desired. In this case $q = 8$ since $10^7 < 9999^2$ meaning that $\mu = \lfloor \beta^{q}/b \rfloor = 10001$. +With the new observation the multiplicand for the quotient is equal to $q_0 = \lfloor a / \beta^{m - 1} \rfloor = 99929$. The quotient is then +$\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor = 9993$. Subtracting $9993b$ from $a$ and the correct residue $a \equiv 9871 \mbox{ (mod }b\mbox{)}$ +is found. \subsection{Trimming the Quotient} -So far the reduction algorithm has been optimized from $3m^2$ single precision multiplications down to $2m^2 + m$ single precision multiplications. As +So far the reduction algorithm has been optimized from $3m^2$ single precision multiplications down to $2m^2 + m$ single precision multiplications. As it stands now the algorithm is already fairly fast compared to a full integer division algorithm. However, there is still room for -optimization. +optimization. After the first multiplication inside the quotient ($q_0 \cdot \mu$) the value is shifted right by $m + 1$ places effectively nullifying the lower -half of the product. It would be nice to be able to remove those digits from the product to effectively cut down the number of single precision -multiplications. If the number of digits in the modulus $m$ is far less than $\beta$ a full product is not required for the algorithm to work properly. -In fact the lower $m - 2$ digits will not affect the upper half of the product at all and do not need to be computed. +half of the product. It would be nice to be able to remove those digits from the product to effectively cut down the number of single precision +multiplications. If the number of digits in the modulus $m$ is far less than $\beta$ a full product is not required for the algorithm to work properly. +In fact the lower $m - 2$ digits will not affect the upper half of the product at all and do not need to be computed. The value of $\mu$ is a $m$-digit number and $q_0$ is a $m + 1$ digit number. Using a full multiplier $(m + 1)(m) = m^2 + m$ single precision multiplications would be required. Using a multiplier that will only produce digits at and above the $m - 1$'th digit reduces the number -of single precision multiplications to ${m^2 + m} \over 2$ single precision multiplications. +of single precision multiplications to ${m^2 + m} \over 2$ single precision multiplications. \subsection{Trimming the Residue} After the quotient has been calculated it is used to reduce the input. As previously noted the algorithm is not exact and it can be off by a small -multiple of the modulus, that is $0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. If $b$ is $m$ digits than the +multiple of the modulus, that is $0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. If $b$ is $m$ digits than the result of reduction equation is a value of at most $m + 1$ digits (\textit{provided $3 < \beta$}) implying that the upper $m - 1$ digits are -implicitly zero. +implicitly zero. The next optimization arises from this very fact. Instead of computing $b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ using a full $O(m^2)$ multiplication algorithm only the lower $m+1$ digits of the product have to be computed. Similarly the value of $a$ can -be reduced modulo $\beta^{m+1}$ before the multiple of $b$ is subtracted which simplifes the subtraction as well. A multiplication that produces -only the lower $m+1$ digits requires ${m^2 + 3m - 2} \over 2$ single precision multiplications. +be reduced modulo $\beta^{m+1}$ before the multiple of $b$ is subtracted which simplifes the subtraction as well. A multiplication that produces +only the lower $m+1$ digits requires ${m^2 + 3m - 2} \over 2$ single precision multiplications. With both optimizations in place the algorithm is the algorithm Barrett proposed. It requires $m^2 + 2m - 1$ single precision multiplications which -is considerably faster than the straightforward $3m^2$ method. +is considerably faster than the straightforward $3m^2$ method. \subsection{The Barrett Algorithm} \newpage\begin{figure}[!here] @@ -3612,26 +3601,26 @@ Now subtract the modulus if the residue is too large (e.g. quotient too small). \textbf{Algorithm mp\_reduce.} This algorithm will reduce the input $a$ modulo $b$ in place using the Barrett algorithm. It is loosely based on algorithm 14.42 of HAC -\cite[pp. 602]{HAC} which is based on the paper from Paul Barrett \cite{BARRETT}. The algorithm has several restrictions and assumptions which must +\cite[pp. 602]{HAC} which is based on the paper from Paul Barrett \cite{BARRETT}. The algorithm has several restrictions and assumptions which must be adhered to for the algorithm to work. First the modulus $b$ is assumed to be positive and greater than one. If the modulus were less than or equal to one than subtracting a multiple of it would either accomplish nothing or actually enlarge the input. The input $a$ must be in the range $0 \le a < b^2$ in order for the quotient to have enough precision. If $a$ is the product of two numbers that were already reduced modulo $b$, this will not be a problem. -Technically the algorithm will still work if $a \ge b^2$ but it will take much longer to finish. The value of $\mu$ is passed as an argument to this -algorithm and is assumed to be calculated and stored before the algorithm is used. +Technically the algorithm will still work if $a \ge b^2$ but it will take much longer to finish. The value of $\mu$ is passed as an argument to this +algorithm and is assumed to be calculated and stored before the algorithm is used. -Recall that the multiplication for the quotient on step 3 must only produce digits at or above the $m-1$'th position. An algorithm called +Recall that the multiplication for the quotient on step 3 must only produce digits at or above the $m-1$'th position. An algorithm called $s\_mp\_mul\_high\_digs$ which has not been presented is used to accomplish this task. The algorithm is based on $s\_mp\_mul\_digs$ except that instead of stopping at a given level of precision it starts at a given level of precision. This optimal algorithm can only be used if the number -of digits in $b$ is very much smaller than $\beta$. +of digits in $b$ is very much smaller than $\beta$. -While it is known that -$a \ge b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ only the lower $m+1$ digits are being used to compute the residue, so an implied -``borrow'' from the higher digits might leave a negative result. After the multiple of the modulus has been subtracted from $a$ the residue must be -fixed up in case it is negative. The invariant $\beta^{m+1}$ must be added to the residue to make it positive again. +While it is known that +$a \ge b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ only the lower $m+1$ digits are being used to compute the residue, so an implied +``borrow'' from the higher digits might leave a negative result. After the multiple of the modulus has been subtracted from $a$ the residue must be +fixed up in case it is negative. The invariant $\beta^{m+1}$ must be added to the residue to make it positive again. -The while loop at step 9 will subtract $b$ until the residue is less than $b$. If the algorithm is performed correctly this step is +The while loop at step 9 will subtract $b$ until the residue is less than $b$. If the algorithm is performed correctly this step is performed at most twice, and on average once. However, if $a \ge b^2$ than it will iterate substantially more times than it should. EXAM,bn_mp_reduce.c @@ -3639,11 +3628,11 @@ EXAM,bn_mp_reduce.c The first multiplication that determines the quotient can be performed by only producing the digits from $m - 1$ and up. This essentially halves the number of single precision multiplications required. However, the optimization is only safe if $\beta$ is much larger than the number of digits in the modulus. In the source code this is evaluated on lines @36,if@ to @44,}@ where algorithm s\_mp\_mul\_high\_digs is used when it is -safe to do so. +safe to do so. \subsection{The Barrett Setup Algorithm} In order to use algorithm mp\_reduce the value of $\mu$ must be calculated in advance. Ideally this value should be computed once and stored for -future use so that the Barrett algorithm can be used without delay. +future use so that the Barrett algorithm can be used without delay. \newpage\begin{figure}[!here] \begin{small} @@ -3670,24 +3659,24 @@ is equivalent and much faster. The final value is computed by taking the intege EXAM,bn_mp_reduce_setup.c This simple routine calculates the reciprocal $\mu$ required by Barrett reduction. Note the extended usage of algorithm mp\_div where the variable -which would received the remainder is passed as NULL. As will be discussed in~\ref{sec:division} the division routine allows both the quotient and the -remainder to be passed as NULL meaning to ignore the value. +which would received the remainder is passed as NULL. As will be discussed in~\ref{sec:division} the division routine allows both the quotient and the +remainder to be passed as NULL meaning to ignore the value. \section{The Montgomery Reduction} -Montgomery reduction\footnote{Thanks to Niels Ferguson for his insightful explanation of the algorithm.} \cite{MONT} is by far the most interesting -form of reduction in common use. It computes a modular residue which is not actually equal to the residue of the input yet instead equal to a -residue times a constant. However, as perplexing as this may sound the algorithm is relatively simple and very efficient. +Montgomery reduction\footnote{Thanks to Niels Ferguson for his insightful explanation of the algorithm.} \cite{MONT} is by far the most interesting +form of reduction in common use. It computes a modular residue which is not actually equal to the residue of the input yet instead equal to a +residue times a constant. However, as perplexing as this may sound the algorithm is relatively simple and very efficient. Throughout this entire section the variable $n$ will represent the modulus used to form the residue. As will be discussed shortly the value of $n$ must be odd. The variable $x$ will represent the quantity of which the residue is sought. Similar to the Barrett algorithm the input is restricted to $0 \le x < n^2$. To begin the description some simple number theory facts must be established. \textbf{Fact 1.} Adding $n$ to $x$ does not change the residue since in effect it adds one to the quotient $\lfloor x / n \rfloor$. Another way -to explain this is that $n$ is (\textit{or multiples of $n$ are}) congruent to zero modulo $n$. Adding zero will not change the value of the residue. +to explain this is that $n$ is (\textit{or multiples of $n$ are}) congruent to zero modulo $n$. Adding zero will not change the value of the residue. \textbf{Fact 2.} If $x$ is even then performing a division by two in $\Z$ is congruent to $x \cdot 2^{-1} \mbox{ (mod }n\mbox{)}$. Actually -this is an application of the fact that if $x$ is evenly divisible by any $k \in \Z$ then division in $\Z$ will be congruent to -multiplication by $k^{-1}$ modulo $n$. +this is an application of the fact that if $x$ is evenly divisible by any $k \in \Z$ then division in $\Z$ will be congruent to +multiplication by $k^{-1}$ modulo $n$. From these two simple facts the following simple algorithm can be derived. @@ -3713,8 +3702,8 @@ From these two simple facts the following simple algorithm can be derived. The algorithm reduces the input one bit at a time using the two congruencies stated previously. Inside the loop $n$, which is odd, is added to $x$ if $x$ is odd. This forces $x$ to be even which allows the division by two in $\Z$ to be congruent to a modular division by two. Since -$x$ is assumed to be initially much larger than $n$ the addition of $n$ will contribute an insignificant magnitude to $x$. Let $r$ represent the -final result of the Montgomery algorithm. If $k > lg(n)$ and $0 \le x < n^2$ then the final result is limited to +$x$ is assumed to be initially much larger than $n$ the addition of $n$ will contribute an insignificant magnitude to $x$. Let $r$ represent the +final result of the Montgomery algorithm. If $k > lg(n)$ and $0 \le x < n^2$ then the final result is limited to $0 \le r < \lfloor x/2^k \rfloor + n$. As a result at most a single subtraction is required to get the residue desired. \begin{figure}[here] @@ -3739,12 +3728,12 @@ $0 \le r < \lfloor x/2^k \rfloor + n$. As a result at most a single subtraction \label{fig:MONT1} \end{figure} -Consider the example in figure~\ref{fig:MONT1} which reduces $x = 5555$ modulo $n = 257$ when $k = 9$ (note $\beta^k = 512$ which is larger than $n$). The result of -the algorithm $r = 178$ is congruent to the value of $2^{-9} \cdot 5555 \mbox{ (mod }257\mbox{)}$. When $r$ is multiplied by $2^9$ modulo $257$ the correct residue -$r \equiv 158$ is produced. +Consider the example in figure~\ref{fig:MONT1} which reduces $x = 5555$ modulo $n = 257$ when $k = 9$ (note $\beta^k = 512$ which is larger than $n$). The result of +the algorithm $r = 178$ is congruent to the value of $2^{-9} \cdot 5555 \mbox{ (mod }257\mbox{)}$. When $r$ is multiplied by $2^9$ modulo $257$ the correct residue +$r \equiv 158$ is produced. Let $k = \lfloor lg(n) \rfloor + 1$ represent the number of bits in $n$. The current algorithm requires $2k^2$ single precision shifts -and $k^2$ single precision additions. At this rate the algorithm is most certainly slower than Barrett reduction and not terribly useful. +and $k^2$ single precision additions. At this rate the algorithm is most certainly slower than Barrett reduction and not terribly useful. Fortunately there exists an alternative representation of the algorithm. \begin{figure}[!here] @@ -3793,10 +3782,10 @@ precision shifts has now been reduced from $2k^2$ to $k^2 + k$ which is only a s \label{fig:MONT2} \end{figure} -Figure~\ref{fig:MONT2} demonstrates the modified algorithm reducing $x = 5555$ modulo $n = 257$ with $k = 9$. -With this algorithm a single shift right at the end is the only right shift required to reduce the input instead of $k$ right shifts inside the -loop. Note that for the iterations $t = 2, 5, 6$ and $8$ where the result $x$ is not changed. In those iterations the $t$'th bit of $x$ is -zero and the appropriate multiple of $n$ does not need to be added to force the $t$'th bit of the result to zero. +Figure~\ref{fig:MONT2} demonstrates the modified algorithm reducing $x = 5555$ modulo $n = 257$ with $k = 9$. +With this algorithm a single shift right at the end is the only right shift required to reduce the input instead of $k$ right shifts inside the +loop. Note that for the iterations $t = 2, 5, 6$ and $8$ where the result $x$ is not changed. In those iterations the $t$'th bit of $x$ is +zero and the appropriate multiple of $n$ does not need to be added to force the $t$'th bit of the result to zero. \subsection{Digit Based Montgomery Reduction} Instead of computing the reduction on a bit-by-bit basis it is actually much faster to compute it on digit-by-digit basis. Consider the @@ -3820,9 +3809,9 @@ previous algorithm re-written to compute the Montgomery reduction in this new fa \caption{Algorithm Montgomery Reduction (modified II)} \end{figure} -The value $\mu n \beta^t$ is a multiple of the modulus $n$ meaning that it will not change the residue. If the first digit of +The value $\mu n \beta^t$ is a multiple of the modulus $n$ meaning that it will not change the residue. If the first digit of the value $\mu n \beta^t$ equals the negative (modulo $\beta$) of the $t$'th digit of $x$ then the addition will result in a zero digit. This -problem breaks down to solving the following congruency. +problem breaks down to solving the following congruency. \begin{center} \begin{tabular}{rcl} @@ -3832,10 +3821,10 @@ $\mu$ & $\equiv$ & $-x_t/n_0 \mbox{ (mod }\beta\mbox{)}$ \\ \end{tabular} \end{center} -In each iteration of the loop on step 1 a new value of $\mu$ must be calculated. The value of $-1/n_0 \mbox{ (mod }\beta\mbox{)}$ is used -extensively in this algorithm and should be precomputed. Let $\rho$ represent the negative of the modular inverse of $n_0$ modulo $\beta$. +In each iteration of the loop on step 1 a new value of $\mu$ must be calculated. The value of $-1/n_0 \mbox{ (mod }\beta\mbox{)}$ is used +extensively in this algorithm and should be precomputed. Let $\rho$ represent the negative of the modular inverse of $n_0$ modulo $\beta$. -For example, let $\beta = 10$ represent the radix. Let $n = 17$ represent the modulus which implies $k = 2$ and $\rho \equiv 7$. Let $x = 33$ +For example, let $\beta = 10$ represent the radix. Let $n = 17$ represent the modulus which implies $k = 2$ and $\rho \equiv 7$. Let $x = 33$ represent the value to reduce. \newpage\begin{figure} @@ -3851,14 +3840,14 @@ represent the value to reduce. \caption{Example of Montgomery Reduction} \end{figure} -The final result $900$ is then divided by $\beta^k$ to produce the final result $9$. The first observation is that $9 \nequiv x \mbox{ (mod }n\mbox{)}$ +The final result $900$ is then divided by $\beta^k$ to produce the final result $9$. The first observation is that $9 \nequiv x \mbox{ (mod }n\mbox{)}$ which implies the result is not the modular residue of $x$ modulo $n$. However, recall that the residue is actually multiplied by $\beta^{-k}$ in the algorithm. To get the true residue the value must be multiplied by $\beta^k$. In this case $\beta^k \equiv 15 \mbox{ (mod }n\mbox{)}$ and -the correct residue is $9 \cdot 15 \equiv 16 \mbox{ (mod }n\mbox{)}$. +the correct residue is $9 \cdot 15 \equiv 16 \mbox{ (mod }n\mbox{)}$. \subsection{Baseline Montgomery Reduction} -The baseline Montgomery reduction algorithm will produce the residue for any size input. It is designed to be a catch-all algororithm for -Montgomery reductions. +The baseline Montgomery reduction algorithm will produce the residue for any size input. It is designed to be a catch-all algororithm for +Montgomery reductions. \newpage\begin{figure}[!here] \begin{small} @@ -3906,9 +3895,9 @@ Divide by $\beta^k$ and fix up as required. \\ \textbf{Algorithm mp\_montgomery\_reduce.} This algorithm reduces the input $x$ modulo $n$ in place using the Montgomery reduction algorithm. The algorithm is loosely based on algorithm 14.32 of \cite[pp.601]{HAC} except it merges the multiplication of $\mu n \beta^t$ with the addition in the inner loop. The -restrictions on this algorithm are fairly easy to adapt to. First $0 \le x < n^2$ bounds the input to numbers in the same range as +restrictions on this algorithm are fairly easy to adapt to. First $0 \le x < n^2$ bounds the input to numbers in the same range as for the Barrett algorithm. Additionally if $n > 1$ and $n$ is odd there will exist a modular inverse $\rho$. $\rho$ must be calculated in -advance of this algorithm. Finally the variable $k$ is fixed and a pseudonym for $n.used$. +advance of this algorithm. Finally the variable $k$ is fixed and a pseudonym for $n.used$. Step 2 decides whether a faster Montgomery algorithm can be used. It is based on the Comba technique meaning that there are limits on the size of the input. This algorithm is discussed in ~COMBARED~. @@ -3917,17 +3906,17 @@ Step 5 is the main reduction loop of the algorithm. The value of $\mu$ is calcu calculates $x + \mu n \beta^{ix}$ by multiplying $\mu n$ and adding the result to $x$ shifted by $ix$ digits. Both the addition and multiplication are performed in the same loop to save time and memory. Step 5.4 will handle any additional carries that escape the inner loop. -Using a quick inspection this algorithm requires $n$ single precision multiplications for the outer loop and $n^2$ single precision multiplications +Using a quick inspection this algorithm requires $n$ single precision multiplications for the outer loop and $n^2$ single precision multiplications in the inner loop. In total $n^2 + n$ single precision multiplications which compares favourably to Barrett at $n^2 + 2n - 1$ single precision -multiplications. +multiplications. EXAM,bn_mp_montgomery_reduce.c This is the baseline implementation of the Montgomery reduction algorithm. Lines @30,digs@ to @35,}@ determine if the Comba based -routine can be used instead. Line @47,mu@ computes the value of $\mu$ for that particular iteration of the outer loop. +routine can be used instead. Line @47,mu@ computes the value of $\mu$ for that particular iteration of the outer loop. The multiplication $\mu n \beta^{ix}$ is performed in one step in the inner loop. The alias $tmpx$ refers to the $ix$'th digit of $x$ and -the alias $tmpn$ refers to the modulus $n$. +the alias $tmpn$ refers to the modulus $n$. \subsection{Faster ``Comba'' Montgomery Reduction} MARK,COMBARED @@ -3935,14 +3924,14 @@ MARK,COMBARED The Montgomery reduction requires fewer single precision multiplications than a Barrett reduction, however it is much slower due to the serial nature of the inner loop. The Barrett reduction algorithm requires two slightly modified multipliers which can be implemented with the Comba technique. The Montgomery reduction algorithm cannot directly use the Comba technique to any significant advantage since the inner loop calculates -a $k \times 1$ product $k$ times. +a $k \times 1$ product $k$ times. -The biggest obstacle is that at the $ix$'th iteration of the outer loop the value of $x_{ix}$ is required to calculate $\mu$. This means the -carries from $0$ to $ix - 1$ must have been propagated upwards to form a valid $ix$'th digit. The solution as it turns out is very simple. -Perform a Comba like multiplier and inside the outer loop just after the inner loop fix up the $ix + 1$'th digit by forwarding the carry. +The biggest obstacle is that at the $ix$'th iteration of the outer loop the value of $x_{ix}$ is required to calculate $\mu$. This means the +carries from $0$ to $ix - 1$ must have been propagated upwards to form a valid $ix$'th digit. The solution as it turns out is very simple. +Perform a Comba like multiplier and inside the outer loop just after the inner loop fix up the $ix + 1$'th digit by forwarding the carry. With this change in place the Montgomery reduction algorithm can be performed with a Comba style multiplication loop which substantially increases -the speed of the algorithm. +the speed of the algorithm. \newpage\begin{figure}[!here] \begin{small} @@ -3991,9 +3980,9 @@ Zero excess digits and fixup $x$. \\ \textbf{Algorithm fast\_mp\_montgomery\_reduce.} This algorithm will compute the Montgomery reduction of $x$ modulo $n$ using the Comba technique. It is on most computer platforms significantly faster than algorithm mp\_montgomery\_reduce and algorithm mp\_reduce (\textit{Barrett reduction}). The algorithm has the same restrictions -on the input as the baseline reduction algorithm. An additional two restrictions are imposed on this algorithm. The number of digits $k$ in the +on the input as the baseline reduction algorithm. An additional two restrictions are imposed on this algorithm. The number of digits $k$ in the the modulus $n$ must not violate $MP\_WARRAY > 2k +1$ and $n < \delta$. When $\beta = 2^{28}$ this algorithm can be used to reduce modulo -a modulus of at most $3,556$ bits in length. +a modulus of at most $3,556$ bits in length. As in the other Comba reduction algorithms there is a $\hat W$ array which stores the columns of the product. It is initially filled with the contents of $x$ with the excess digits zeroed. The reduction loop is very similar the to the baseline loop at heart. The multiplication on step @@ -4007,23 +3996,23 @@ how the upper bits of those same words are not reduced modulo $\beta$. This is point. Step 5 will propagate the remainder of the carries upwards. On step 6 the columns are reduced modulo $\beta$ and shifted simultaneously as they are -stored in the destination $x$. +stored in the destination $x$. EXAM,bn_fast_mp_montgomery_reduce.c The $\hat W$ array is first filled with digits of $x$ on line @49,for@ then the rest of the digits are zeroed on line @54,for@. Both loops share -the same alias variables to make the code easier to read. +the same alias variables to make the code easier to read. The value of $\mu$ is calculated in an interesting fashion. First the value $\hat W_{ix}$ is reduced modulo $\beta$ and cast to a mp\_digit. This -forces the compiler to use a single precision multiplication and prevents any concerns about loss of precision. Line @101,>>@ fixes the carry +forces the compiler to use a single precision multiplication and prevents any concerns about loss of precision. Line @101,>>@ fixes the carry for the next iteration of the loop by propagating the carry from $\hat W_{ix}$ to $\hat W_{ix+1}$. The for loop on line @113,for@ propagates the rest of the carries upwards through the columns. The for loop on line @126,for@ reduces the columns modulo $\beta$ and shifts them $k$ places at the same time. The alias $\_ \hat W$ actually refers to the array $\hat W$ starting at the $n.used$'th -digit, that is $\_ \hat W_{t} = \hat W_{n.used + t}$. +digit, that is $\_ \hat W_{t} = \hat W_{n.used + t}$. \subsection{Montgomery Setup} -To calculate the variable $\rho$ a relatively simple algorithm will be required. +To calculate the variable $\rho$ a relatively simple algorithm will be required. \begin{figure}[!here] \begin{small} @@ -4044,17 +4033,17 @@ To calculate the variable $\rho$ a relatively simple algorithm will be required. \end{tabular} \end{center} \end{small} -\caption{Algorithm mp\_montgomery\_setup} +\caption{Algorithm mp\_montgomery\_setup} \end{figure} \textbf{Algorithm mp\_montgomery\_setup.} -This algorithm will calculate the value of $\rho$ required within the Montgomery reduction algorithms. It uses a very interesting trick -to calculate $1/n_0$ when $\beta$ is a power of two. +This algorithm will calculate the value of $\rho$ required within the Montgomery reduction algorithms. It uses a very interesting trick +to calculate $1/n_0$ when $\beta$ is a power of two. EXAM,bn_mp_montgomery_setup.c This source code computes the value of $\rho$ required to perform Montgomery reduction. It has been modified to avoid performing excess -multiplications when $\beta$ is not the default 28-bits. +multiplications when $\beta$ is not the default 28-bits. \section{The Diminished Radix Algorithm} The Diminished Radix method of modular reduction \cite{DRMET} is a fairly clever technique which can be more efficient than either the Barrett @@ -4064,7 +4053,7 @@ or Montgomery methods for certain forms of moduli. The technique is based on th (x \mbox{ mod } n) + k \lfloor x / n \rfloor \equiv x \mbox{ (mod }(n - k)\mbox{)} \end{equation} -This observation was used in the MMB \cite{MMB} block cipher to create a diffusion primitive. It used the fact that if $n = 2^{31}$ and $k=1$ that +This observation was used in the MMB \cite{MMB} block cipher to create a diffusion primitive. It used the fact that if $n = 2^{31}$ and $k=1$ that then a x86 multiplier could produce the 62-bit product and use the ``shrd'' instruction to perform a double-precision right shift. The proof of the above equation is very simple. First write $x$ in the product form. @@ -4078,7 +4067,7 @@ Now reduce both sides modulo $(n - k)$. x \equiv qk + r \mbox{ (mod }(n-k)\mbox{)} \end{equation} -The variable $n$ reduces modulo $n - k$ to $k$. By putting $q = \lfloor x/n \rfloor$ and $r = x \mbox{ mod } n$ +The variable $n$ reduces modulo $n - k$ to $k$. By putting $q = \lfloor x/n \rfloor$ and $r = x \mbox{ mod } n$ into the equation the original congruence is reproduced, thus concluding the proof. The following algorithm is based on this observation. \begin{figure}[!here] @@ -4108,7 +4097,7 @@ into the equation the original congruence is reproduced, thus concluding the pro This algorithm will reduce $x$ modulo $n - k$ and return the residue. If $0 \le x < (n - k)^2$ then the algorithm will loop almost always once or twice and occasionally three times. For simplicity sake the value of $x$ is bounded by the following simple polynomial. -\begin{equation} +\begin{equation} 0 \le x < n^2 + k^2 - 2nk \end{equation} @@ -4119,15 +4108,15 @@ q < n - 2k - k^2/n \end{equation} Since $k^2$ is going to be considerably smaller than $n$ that term will always be zero. The value of $x$ after step 3 is bounded trivially as -$0 \le x < n$. By step four the sum $x + q$ is bounded by +$0 \le x < n$. By step four the sum $x + q$ is bounded by \begin{equation} 0 \le q + x < (k + 1)n - 2k^2 - 1 \end{equation} With a second pass $q$ will be loosely bounded by $0 \le q < k^2$ after step 2 while $x$ will still be loosely bounded by $0 \le x < n$ after step 3. After the second pass it is highly unlike that the -sum in step 4 will exceed $n - k$. In practice fewer than three passes of the algorithm are required to reduce virtually every input in the -range $0 \le x < (n - k - 1)^2$. +sum in step 4 will exceed $n - k$. In practice fewer than three passes of the algorithm are required to reduce virtually every input in the +range $0 \le x < (n - k - 1)^2$. \begin{figure} \begin{small} @@ -4140,13 +4129,13 @@ $q \leftarrow q*k = 1446759$ \\ $x \leftarrow x \mbox{ mod } n = 21$ \\ $x \leftarrow x + q = 1446780$ \\ $x \leftarrow x - (n - k) = 1446527$ \\ -\hline +\hline $q \leftarrow \lfloor x/n \rfloor = 5650$ \\ $q \leftarrow q*k = 16950$ \\ $x \leftarrow x \mbox{ mod } n = 127$ \\ $x \leftarrow x + q = 17077$ \\ $x \leftarrow x - (n - k) = 16824$ \\ -\hline +\hline $q \leftarrow \lfloor x/n \rfloor = 65$ \\ $q \leftarrow q*k = 195$ \\ $x \leftarrow x \mbox{ mod } n = 184$ \\ @@ -4169,29 +4158,29 @@ three passes were required to find the residue $x \equiv 126$. On the surface this algorithm looks like a very expensive algorithm. It requires a couple of subtractions followed by multiplication and other modular reductions. The usefulness of this algorithm becomes exceedingly clear when an appropriate modulus is chosen. -Division in general is a very expensive operation to perform. The one exception is when the division is by a power of the radix of representation used. -Division by ten for example is simple for pencil and paper mathematics since it amounts to shifting the decimal place to the right. Similarly division -by two (\textit{or powers of two}) is very simple for binary computers to perform. It would therefore seem logical to choose $n$ of the form $2^p$ -which would imply that $\lfloor x / n \rfloor$ is a simple shift of $x$ right $p$ bits. +Division in general is a very expensive operation to perform. The one exception is when the division is by a power of the radix of representation used. +Division by ten for example is simple for pencil and paper mathematics since it amounts to shifting the decimal place to the right. Similarly division +by two (\textit{or powers of two}) is very simple for binary computers to perform. It would therefore seem logical to choose $n$ of the form $2^p$ +which would imply that $\lfloor x / n \rfloor$ is a simple shift of $x$ right $p$ bits. -However, there is one operation related to division of power of twos that is even faster than this. If $n = \beta^p$ then the division may be -performed by moving whole digits to the right $p$ places. In practice division by $\beta^p$ is much faster than division by $2^p$ for any $p$. -Also with the choice of $n = \beta^p$ reducing $x$ modulo $n$ merely requires zeroing the digits above the $p-1$'th digit of $x$. +However, there is one operation related to division of power of twos that is even faster than this. If $n = \beta^p$ then the division may be +performed by moving whole digits to the right $p$ places. In practice division by $\beta^p$ is much faster than division by $2^p$ for any $p$. +Also with the choice of $n = \beta^p$ reducing $x$ modulo $n$ merely requires zeroing the digits above the $p-1$'th digit of $x$. Throughout the next section the term ``restricted modulus'' will refer to a modulus of the form $\beta^p - k$ whereas the term ``unrestricted -modulus'' will refer to a modulus of the form $2^p - k$. The word ``restricted'' in this case refers to the fact that it is based on the -$2^p$ logic except $p$ must be a multiple of $lg(\beta)$. +modulus'' will refer to a modulus of the form $2^p - k$. The word ``restricted'' in this case refers to the fact that it is based on the +$2^p$ logic except $p$ must be a multiple of $lg(\beta)$. \subsection{Choice of $k$} Now that division and reduction (\textit{step 1 and 3 of figure~\ref{fig:DR}}) have been optimized to simple digit operations the multiplication by $k$ in step 2 is the most expensive operation. Fortunately the choice of $k$ is not terribly limited. For all intents and purposes it might -as well be a single digit. The smaller the value of $k$ is the faster the algorithm will be. +as well be a single digit. The smaller the value of $k$ is the faster the algorithm will be. \subsection{Restricted Diminished Radix Reduction} -The restricted Diminished Radix algorithm can quickly reduce an input modulo a modulus of the form $n = \beta^p - k$. This algorithm can reduce +The restricted Diminished Radix algorithm can quickly reduce an input modulo a modulus of the form $n = \beta^p - k$. This algorithm can reduce an input $x$ within the range $0 \le x < n^2$ using only a couple passes of the algorithm demonstrated in figure~\ref{fig:DR}. The implementation -of this algorithm has been optimized to avoid additional overhead associated with a division by $\beta^p$, the multiplication by $k$ or the addition -of $x$ and $q$. The resulting algorithm is very efficient and can lead to substantial improvements over Barrett and Montgomery reduction when modular +of this algorithm has been optimized to avoid additional overhead associated with a division by $\beta^p$, the multiplication by $k$ or the addition +of $x$ and $q$. The resulting algorithm is very efficient and can lead to substantial improvements over Barrett and Montgomery reduction when modular exponentiations are performed. \newpage\begin{figure}[!here] @@ -4227,31 +4216,31 @@ exponentiations are performed. \textbf{Algorithm mp\_dr\_reduce.} This algorithm will perform the Dimished Radix reduction of $x$ modulo $n$. It has similar restrictions to that of the Barrett reduction -with the addition that $n$ must be of the form $n = \beta^m - k$ where $0 < k <\beta$. +with the addition that $n$ must be of the form $n = \beta^m - k$ where $0 < k <\beta$. This algorithm essentially implements the pseudo-code in figure~\ref{fig:DR} except with a slight optimization. The division by $\beta^m$, multiplication by $k$ and addition of $x \mbox{ mod }\beta^m$ are all performed simultaneously inside the loop on step 4. The division by $\beta^m$ is emulated by accessing the term at the $m+i$'th position which is subsequently multiplied by $k$ and added to the term at the $i$'th position. After the loop the $m$'th -digit is set to the carry and the upper digits are zeroed. Steps 5 and 6 emulate the reduction modulo $\beta^m$ that should have happend to -$x$ before the addition of the multiple of the upper half. +digit is set to the carry and the upper digits are zeroed. Steps 5 and 6 emulate the reduction modulo $\beta^m$ that should have happend to +$x$ before the addition of the multiple of the upper half. At step 8 if $x$ is still larger than $n$ another pass of the algorithm is required. First $n$ is subtracted from $x$ and then the algorithm resumes -at step 3. +at step 3. EXAM,bn_mp_dr_reduce.c The first step is to grow $x$ as required to $2m$ digits since the reduction is performed in place on $x$. The label on line @49,top:@ is where the algorithm will resume if further reduction passes are required. In theory it could be placed at the top of the function however, the size of -the modulus and question of whether $x$ is large enough are invariant after the first pass meaning that it would be a waste of time. +the modulus and question of whether $x$ is large enough are invariant after the first pass meaning that it would be a waste of time. The aliases $tmpx1$ and $tmpx2$ refer to the digits of $x$ where the latter is offset by $m$ digits. By reading digits from $x$ offset by $m$ digits a division by $\beta^m$ can be simulated virtually for free. The loop on line @61,for@ performs the bulk of the work (\textit{corresponds to step 4 of algorithm 7.11}) in this algorithm. -By line @68,mu@ the pointer $tmpx1$ points to the $m$'th digit of $x$ which is where the final carry will be placed. Similarly by line @71,for@ the -same pointer will point to the $m+1$'th digit where the zeroes will be placed. +By line @68,mu@ the pointer $tmpx1$ points to the $m$'th digit of $x$ which is where the final carry will be placed. Similarly by line @71,for@ the +same pointer will point to the $m+1$'th digit where the zeroes will be placed. -Since the algorithm is only valid if both $x$ and $n$ are greater than zero an unsigned comparison suffices to determine if another pass is required. +Since the algorithm is only valid if both $x$ and $n$ are greater than zero an unsigned comparison suffices to determine if another pass is required. With the same logic at line @82,sub@ the value of $x$ is known to be greater than or equal to $n$ meaning that an unsigned subtraction can be used as well. Since the destination of the subtraction is the larger of the inputs the call to algorithm s\_mp\_sub cannot fail and the return code does not need to be checked. @@ -4342,20 +4331,20 @@ algorithm is much faster than either Montgomery or Barrett reduction when the mo \textbf{Algorithm mp\_reduce\_2k.} This algorithm quickly reduces an input $a$ modulo an unrestricted Diminished Radix modulus $n$. Division by $2^p$ is emulated with a right -shift which makes the algorithm fairly inexpensive to use. +shift which makes the algorithm fairly inexpensive to use. EXAM,bn_mp_reduce_2k.c The algorithm mp\_count\_bits calculates the number of bits in an mp\_int which is used to find the initial value of $p$. The call to mp\_div\_2d on line @31,mp_div_2d@ calculates both the quotient $q$ and the remainder $a$ required. By doing both in a single function call the code size is kept fairly small. The multiplication by $k$ is only performed if $k > 1$. This allows reductions modulo $2^p - 1$ to be performed without -any multiplications. +any multiplications. -The unsigned s\_mp\_add, mp\_cmp\_mag and s\_mp\_sub are used in place of their full sign counterparts since the inputs are only valid if they are -positive. By using the unsigned versions the overhead is kept to a minimum. +The unsigned s\_mp\_add, mp\_cmp\_mag and s\_mp\_sub are used in place of their full sign counterparts since the inputs are only valid if they are +positive. By using the unsigned versions the overhead is kept to a minimum. \subsubsection{Unrestricted Setup} -To setup this reduction algorithm the value of $k = 2^p - n$ is required. +To setup this reduction algorithm the value of $k = 2^p - n$ is required. \begin{figure}[!here] \begin{small} @@ -4379,7 +4368,7 @@ To setup this reduction algorithm the value of $k = 2^p - n$ is required. \textbf{Algorithm mp\_reduce\_2k\_setup.} This algorithm computes the value of $k$ required for the algorithm mp\_reduce\_2k. By making a temporary variable $x$ equal to $2^p$ a subtraction -is sufficient to solve for $k$. Alternatively if $n$ has more than one digit the value of $k$ is simply $\beta - n_0$. +is sufficient to solve for $k$. Alternatively if $n$ has more than one digit the value of $k$ is simply $\beta - n_0$. EXAM,bn_mp_reduce_2k_setup.c @@ -4418,7 +4407,7 @@ significant bit. The resulting sum will be a power of two. \end{figure} \textbf{Algorithm mp\_reduce\_is\_2k.} -This algorithm quickly determines if a modulus is of the form required for algorithm mp\_reduce\_2k to function properly. +This algorithm quickly determines if a modulus is of the form required for algorithm mp\_reduce\_2k to function properly. EXAM,bn_mp_reduce_is_2k.c @@ -4427,7 +4416,7 @@ EXAM,bn_mp_reduce_is_2k.c \section{Algorithm Comparison} So far three very different algorithms for modular reduction have been discussed. Each of the algorithms have their own strengths and weaknesses that makes having such a selection very useful. The following table sumarizes the three algorithms along with comparisons of work factors. Since -all three algorithms have the restriction that $0 \le x < n^2$ and $n > 1$ those limitations are not included in the table. +all three algorithms have the restriction that $0 \le x < n^2$ and $n > 1$ those limitations are not included in the table. \begin{center} \begin{small} @@ -4463,12 +4452,12 @@ $\left [ 4 \right ]$ & Prove that the pseudo-code algorithm ``Diminished Radix R & (\textit{figure~\ref{fig:DR}}) terminates. Also prove the probability that it will \\ & terminate within $1 \le k \le 10$ iterations. \\ & \\ -\end{tabular} +\end{tabular} \chapter{Exponentiation} Exponentiation is the operation of raising one variable to the power of another, for example, $a^b$. A variant of exponentiation, computed -in a finite field or ring, is called modular exponentiation. This latter style of operation is typically used in public key +in a finite field or ring, is called modular exponentiation. This latter style of operation is typically used in public key cryptosystems such as RSA and Diffie-Hellman. The ability to quickly compute modular exponentiations is of great benefit to any such cryptosystem and many methods have been sought to speed it up. @@ -4478,7 +4467,7 @@ the number of multiplications becomes prohibitive. Imagine what would happen if with a $1024$-bit key. Such a calculation could never be completed as it would take simply far too long. Fortunately there is a very simple algorithm based on the laws of exponents. Recall that $lg_a(a^b) = b$ and that $lg_a(a^ba^c) = b + c$ which -are two trivial relationships between the base and the exponent. Let $b_i$ represent the $i$'th bit of $b$ starting from the least +are two trivial relationships between the base and the exponent. Let $b_i$ represent the $i$'th bit of $b$ starting from the least significant bit. If $b$ is a $k$-bit integer than the following equation is true. \begin{equation} @@ -4495,7 +4484,7 @@ The term $a^{2^i}$ can be found from the $i - 1$'th term by squaring the term si $a^{2^{i+1}}$. This observation forms the basis of essentially all fast exponentiation algorithms. It requires $k$ squarings and on average $k \over 2$ multiplications to compute the result. This is indeed quite an improvement over simply multiplying by $a$ a total of $b-1$ times. -While this current method is a considerable speed up there are further improvements to be made. For example, the $a^{2^i}$ term does not need to +While this current method is a considerable speed up there are further improvements to be made. For example, the $a^{2^i}$ term does not need to be computed in an auxilary variable. Consider the following equivalent algorithm. \begin{figure}[!here] @@ -4521,7 +4510,7 @@ be computed in an auxilary variable. Consider the following equivalent algorith This algorithm starts from the most significant bit and works towards the least significant bit. When the $i$'th bit of $b$ is set $a$ is multiplied against the current product. In each iteration the product is squared which doubles the exponent of the individual terms of the -product. +product. For example, let $b = 101100_2 \equiv 44_{10}$. The following chart demonstrates the actions of the algorithm. @@ -4542,13 +4531,13 @@ For example, let $b = 101100_2 \equiv 44_{10}$. The following chart demonstrate \caption{Example of Left to Right Exponentiation} \end{figure} -When the product $a^{32} \cdot a^8 \cdot a^4$ is simplified it is equal $a^{44}$ which is the desired exponentiation. This particular algorithm is -called ``Left to Right'' because it reads the exponent in that order. All of the exponentiation algorithms that will be presented are of this nature. +When the product $a^{32} \cdot a^8 \cdot a^4$ is simplified it is equal $a^{44}$ which is the desired exponentiation. This particular algorithm is +called ``Left to Right'' because it reads the exponent in that order. All of the exponentiation algorithms that will be presented are of this nature. \subsection{Single Digit Exponentiation} -The first algorithm in the series of exponentiation algorithms will be an unbounded algorithm where the exponent is a single digit. It is intended -to be used when a small power of an input is required (\textit{e.g. $a^5$}). It is faster than simply multiplying $b - 1$ times for all values of -$b$ that are greater than three. +The first algorithm in the series of exponentiation algorithms will be an unbounded algorithm where the exponent is a single digit. It is intended +to be used when a small power of an input is required (\textit{e.g. $a^5$}). It is faster than simply multiplying $b - 1$ times for all values of +$b$ that are greater than three. \newpage\begin{figure}[!here] \begin{small} @@ -4576,10 +4565,10 @@ $b$ that are greater than three. \textbf{Algorithm mp\_expt\_d.} This algorithm computes the value of $a$ raised to the power of a single digit $b$. It uses the left to right exponentiation algorithm to -quickly compute the exponentiation. It is loosely based on algorithm 14.79 of HAC \cite[pp. 615]{HAC} with the difference that the -exponent is a fixed width. +quickly compute the exponentiation. It is loosely based on algorithm 14.79 of HAC \cite[pp. 615]{HAC} with the difference that the +exponent is a fixed width. -A copy of $a$ is made first to allow destination variable $c$ be the same as the source variable $a$. The result is set to the initial value of +A copy of $a$ is made first to allow destination variable $c$ be the same as the source variable $a$. The result is set to the initial value of $1$ in the subsequent step. Inside the loop the exponent is read from the most significant bit first down to the least significant bit. First $c$ is invariably squared @@ -4587,12 +4576,12 @@ on step 3.1. In the following step if the most significant bit of $b$ is one th of $b$ is shifted left one bit to make the next bit down from the most signficant bit the new most significant bit. In effect each iteration of the loop moves the bits of the exponent $b$ upwards to the most significant location. -EXAM,bn_mp_expt_d.c +EXAM,bn_mp_expt_d_ex.c -Line @29,mp_set@ sets the initial value of the result to $1$. Next the loop on line @31,for@ steps through each bit of the exponent starting from -the most significant down towards the least significant. The invariant squaring operation placed on line @333,mp_sqr@ is performed first. After +This describes only the algorithm that is used when the parameter $fast$ is $0$. Line @31,mp_set@ sets the initial value of the result to $1$. Next the loop on line @54,for@ steps through each bit of the exponent starting from +the most significant down towards the least significant. The invariant squaring operation placed on line @333,mp_sqr@ is performed first. After the squaring the result $c$ is multiplied by the base $g$ if and only if the most significant bit of the exponent is set. The shift on line -@47,<<@ moves all of the bits of the exponent upwards towards the most significant location. +@69,<<@ moves all of the bits of the exponent upwards towards the most significant location. \section{$k$-ary Exponentiation} When calculating an exponentiation the most time consuming bottleneck is the multiplications which are in general a small factor @@ -4625,7 +4614,7 @@ portion of the entire exponent. Consider the following modification to the basi The squaring on step 2.1 can be calculated by squaring the value $c$ successively $k$ times. If the values of $a^g$ for $0 < g < 2^k$ have been precomputed this algorithm requires only $t$ multiplications and $tk$ squarings. The table can be generated with $2^{k - 1} - 1$ squarings and -$2^{k - 1} + 1$ multiplications. This algorithm assumes that the number of bits in the exponent is evenly divisible by $k$. +$2^{k - 1} + 1$ multiplications. This algorithm assumes that the number of bits in the exponent is evenly divisible by $k$. However, when it is not the remaining $0 < x \le k - 1$ bits can be handled with algorithm~\ref{fig:LTOR}. Suppose $k = 4$ and $t = 100$. This modified algorithm will require $109$ multiplications and $408$ squarings to compute the exponentiation. The @@ -4635,7 +4624,7 @@ has increased slightly but the number of multiplications has nearly halved. \subsection{Optimal Values of $k$} An optimal value of $k$ will minimize $2^{k} + \lceil n / k \rceil + n - 1$ for a fixed number of bits in the exponent $n$. The simplest approach is to brute force search amongst the values $k = 2, 3, \ldots, 8$ for the lowest result. Table~\ref{fig:OPTK} lists optimal values of $k$ -for various exponent sizes and compares the number of multiplication and squarings required against algorithm~\ref{fig:LTOR}. +for various exponent sizes and compares the number of multiplication and squarings required against algorithm~\ref{fig:LTOR}. \begin{figure}[here] \begin{center} @@ -4661,10 +4650,10 @@ for various exponent sizes and compares the number of multiplication and squarin \subsection{Sliding-Window Exponentiation} A simple modification to the previous algorithm is only generate the upper half of the table in the range $2^{k-1} \le g < 2^k$. Essentially -this is a table for all values of $g$ where the most significant bit of $g$ is a one. However, in order for this to be allowed in the -algorithm values of $g$ in the range $0 \le g < 2^{k-1}$ must be avoided. +this is a table for all values of $g$ where the most significant bit of $g$ is a one. However, in order for this to be allowed in the +algorithm values of $g$ in the range $0 \le g < 2^{k-1}$ must be avoided. -Table~\ref{fig:OPTK2} lists optimal values of $k$ for various exponent sizes and compares the work required against algorithm~\ref{fig:KARY}. +Table~\ref{fig:OPTK2} lists optimal values of $k$ for various exponent sizes and compares the work required against algorithm {\ref{fig:KARY}}. \begin{figure}[here] \begin{center} @@ -4715,29 +4704,29 @@ Table~\ref{fig:OPTK2} lists optimal values of $k$ for various exponent sizes and Similar to the previous algorithm this algorithm must have a special handler when fewer than $k$ bits are left in the exponent. While this algorithm requires the same number of squarings it can potentially have fewer multiplications. The pre-computed table $a^g$ is also half -the size as the previous table. +the size as the previous table. -Consider the exponent $b = 111101011001000_2 \equiv 31432_{10}$ with $k = 3$ using both algorithms. The first algorithm will divide the exponent up as -the following five $3$-bit words $b \equiv \left ( 111, 101, 011, 001, 000 \right )_{2}$. The second algorithm will break the +Consider the exponent $b = 111101011001000_2 \equiv 31432_{10}$ with $k = 3$ using both algorithms. The first algorithm will divide the exponent up as +the following five $3$-bit words $b \equiv \left ( 111, 101, 011, 001, 000 \right )_{2}$. The second algorithm will break the exponent as $b \equiv \left ( 111, 101, 0, 110, 0, 100, 0 \right )_{2}$. The single digit $0$ in the second representation are where -a single squaring took place instead of a squaring and multiplication. In total the first method requires $10$ multiplications and $18$ -squarings. The second method requires $8$ multiplications and $18$ squarings. +a single squaring took place instead of a squaring and multiplication. In total the first method requires $10$ multiplications and $18$ +squarings. The second method requires $8$ multiplications and $18$ squarings. -In general the sliding window method is never slower than the generic $k$-ary method and often it is slightly faster. +In general the sliding window method is never slower than the generic $k$-ary method and often it is slightly faster. \section{Modular Exponentiation} -Modular exponentiation is essentially computing the power of a base within a finite field or ring. For example, computing -$d \equiv a^b \mbox{ (mod }c\mbox{)}$ is a modular exponentiation. Instead of first computing $a^b$ and then reducing it -modulo $c$ the intermediate result is reduced modulo $c$ after every squaring or multiplication operation. +Modular exponentiation is essentially computing the power of a base within a finite field or ring. For example, computing +$d \equiv a^b \mbox{ (mod }c\mbox{)}$ is a modular exponentiation. Instead of first computing $a^b$ and then reducing it +modulo $c$ the intermediate result is reduced modulo $c$ after every squaring or multiplication operation. This guarantees that any intermediate result is bounded by $0 \le d \le c^2 - 2c + 1$ and can be reduced modulo $c$ quickly using -one of the algorithms presented in ~REDUCTION~. +one of the algorithms presented in ~REDUCTION~. Before the actual modular exponentiation algorithm can be written a wrapper algorithm must be written first. This algorithm will allow the exponent $b$ to be negative which is computed as $c \equiv \left (1 / a \right )^{\vert b \vert} \mbox{(mod }d\mbox{)}$. The value of $(1/a) \mbox{ mod }c$ is computed using the modular inverse (\textit{see \ref{sec;modinv}}). If no inverse exists the algorithm -terminates with an error. +terminates with an error. \begin{figure}[!here] \begin{small} @@ -4764,10 +4753,10 @@ terminates with an error. \end{figure} \textbf{Algorithm mp\_exptmod.} -The first algorithm which actually performs modular exponentiation is algorithm s\_mp\_exptmod. It is a sliding window $k$-ary algorithm -which uses Barrett reduction to reduce the product modulo $p$. The second algorithm mp\_exptmod\_fast performs the same operation +The first algorithm which actually performs modular exponentiation is algorithm s\_mp\_exptmod. It is a sliding window $k$-ary algorithm +which uses Barrett reduction to reduce the product modulo $p$. The second algorithm mp\_exptmod\_fast performs the same operation except it uses either Montgomery or Diminished Radix reduction. The two latter reduction algorithms are clumped in the same exponentiation -algorithm since their arguments are essentially the same (\textit{two mp\_ints and one mp\_digit}). +algorithm since their arguments are essentially the same (\textit{two mp\_ints and one mp\_digit}). EXAM,bn_mp_exptmod.c @@ -4776,7 +4765,7 @@ negative the algorithm tries to perform a modular exponentiation with the modula the modular inverse of $G$ and $tmpX$ is assigned the absolute value of $X$. The algorithm will recuse with these new values with a positive exponent. -If the exponent is positive the algorithm resumes the exponentiation. Line @63,dr_@ determines if the modulus is of the restricted Diminished Radix +If the exponent is positive the algorithm resumes the exponentiation. Line @63,dr_@ determines if the modulus is of the restricted Diminished Radix form. If it is not line @65,reduce@ attempts to determine if it is of a unrestricted Diminished Radix form. The integer $dr$ will take on one of three values. @@ -4787,7 +4776,7 @@ of three values. \end{enumerate} Line @69,if@ determines if the fast modular exponentiation algorithm can be used. It is allowed if $dr \ne 0$ or if the modulus is odd. Otherwise, -the slower s\_mp\_exptmod algorithm is used which uses Barrett reduction. +the slower s\_mp\_exptmod algorithm is used which uses Barrett reduction. \subsection{Barrett Modular Exponentiation} @@ -4892,9 +4881,9 @@ No more windows left. Check for residual bits of exponent. \\ This algorithm computes the $x$'th power of $g$ modulo $p$ and stores the result in $y$. It takes advantage of the Barrett reduction algorithm to keep the product small throughout the algorithm. -The first two steps determine the optimal window size based on the number of bits in the exponent. The larger the exponent the +The first two steps determine the optimal window size based on the number of bits in the exponent. The larger the exponent the larger the window size becomes. After a window size $winsize$ has been chosen an array of $2^{winsize}$ mp\_int variables is allocated. This -table will hold the values of $g^x \mbox{ (mod }p\mbox{)}$ for $2^{winsize - 1} \le x < 2^{winsize}$. +table will hold the values of $g^x \mbox{ (mod }p\mbox{)}$ for $2^{winsize - 1} \le x < 2^{winsize}$. After the table is allocated the first power of $g$ is found. Since $g \ge p$ is allowed it must be first reduced modulo $p$ to make the rest of the algorithm more efficient. The first element of the table at $2^{winsize - 1}$ is found by squaring $M_1$ successively $winsize - 2$ @@ -4902,49 +4891,49 @@ times. The rest of the table elements are found by multiplying the previous ele Now that the table is available the sliding window may begin. The following list describes the functions of all the variables in the window. \begin{enumerate} -\item The variable $mode$ dictates how the bits of the exponent are interpreted. +\item The variable $mode$ dictates how the bits of the exponent are interpreted. \begin{enumerate} - \item When $mode = 0$ the bits are ignored since no non-zero bit of the exponent has been seen yet. For example, if the exponent were simply - $1$ then there would be $lg(\beta) - 1$ zero bits before the first non-zero bit. In this case bits are ignored until a non-zero bit is found. - \item When $mode = 1$ a non-zero bit has been seen before and a new $winsize$-bit window has not been formed yet. In this mode leading $0$ bits - are read and a single squaring is performed. If a non-zero bit is read a new window is created. + \item When $mode = 0$ the bits are ignored since no non-zero bit of the exponent has been seen yet. For example, if the exponent were simply + $1$ then there would be $lg(\beta) - 1$ zero bits before the first non-zero bit. In this case bits are ignored until a non-zero bit is found. + \item When $mode = 1$ a non-zero bit has been seen before and a new $winsize$-bit window has not been formed yet. In this mode leading $0$ bits + are read and a single squaring is performed. If a non-zero bit is read a new window is created. \item When $mode = 2$ the algorithm is in the middle of forming a window and new bits are appended to the window from the most significant bit downwards. \end{enumerate} \item The variable $bitcnt$ indicates how many bits are left in the current digit of the exponent left to be read. When it reaches zero a new digit is fetched from the exponent. -\item The variable $buf$ holds the currently read digit of the exponent. +\item The variable $buf$ holds the currently read digit of the exponent. \item The variable $digidx$ is an index into the exponents digits. It starts at the leading digit $x.used - 1$ and moves towards the trailing digit. \item The variable $bitcpy$ indicates how many bits are in the currently formed window. When it reaches $winsize$ the window is flushed and the appropriate operations performed. -\item The variable $bitbuf$ holds the current bits of the window being formed. +\item The variable $bitbuf$ holds the current bits of the window being formed. \end{enumerate} All of step 12 is the window processing loop. It will iterate while there are digits available form the exponent to read. The first step inside this loop is to extract a new digit if no more bits are available in the current digit. If there are no bits left a new digit is -read and if there are no digits left than the loop terminates. +read and if there are no digits left than the loop terminates. After a digit is made available step 12.3 will extract the most significant bit of the current digit and move all other bits in the digit -upwards. In effect the digit is read from most significant bit to least significant bit and since the digits are read from leading to +upwards. In effect the digit is read from most significant bit to least significant bit and since the digits are read from leading to trailing edges the entire exponent is read from most significant bit to least significant bit. -At step 12.5 if the $mode$ and currently extracted bit $y$ are both zero the bit is ignored and the next bit is read. This prevents the +At step 12.5 if the $mode$ and currently extracted bit $y$ are both zero the bit is ignored and the next bit is read. This prevents the algorithm from having to perform trivial squaring and reduction operations before the first non-zero bit is read. Step 12.6 and 12.7-10 handle -the two cases of $mode = 1$ and $mode = 2$ respectively. +the two cases of $mode = 1$ and $mode = 2$ respectively. FIGU,expt_state,Sliding Window State Diagram -By step 13 there are no more digits left in the exponent. However, there may be partial bits in the window left. If $mode = 2$ then -a Left-to-Right algorithm is used to process the remaining few bits. +By step 13 there are no more digits left in the exponent. However, there may be partial bits in the window left. If $mode = 2$ then +a Left-to-Right algorithm is used to process the remaining few bits. EXAM,bn_s_mp_exptmod.c Lines @31,if@ through @45,}@ determine the optimal window size based on the length of the exponent in bits. The window divisions are sorted -from smallest to greatest so that in each \textbf{if} statement only one condition must be tested. For example, by the \textbf{if} statement -on line @37,if@ the value of $x$ is already known to be greater than $140$. +from smallest to greatest so that in each \textbf{if} statement only one condition must be tested. For example, by the \textbf{if} statement +on line @37,if@ the value of $x$ is already known to be greater than $140$. The conditional piece of code beginning on line @42,ifdef@ allows the window size to be restricted to five bits. This logic is used to ensure -the table of precomputed powers of $G$ remains relatively small. +the table of precomputed powers of $G$ remains relatively small. The for loop on line @60,for@ initializes the $M$ array while lines @71,mp_init@ and @75,mp_reduce@ through @85,}@ initialize the reduction function that will be used for this modulus. @@ -4982,11 +4971,11 @@ EXAM,bn_mp_2expt.c \chapter{Higher Level Algorithms} This chapter discusses the various higher level algorithms that are required to complete a well rounded multiple precision integer package. These -routines are less performance oriented than the algorithms of chapters five, six and seven but are no less important. +routines are less performance oriented than the algorithms of chapters five, six and seven but are no less important. The first section describes a method of integer division with remainder that is universally well known. It provides the signed division logic -for the package. The subsequent section discusses a set of algorithms which allow a single digit to be the 2nd operand for a variety of operations. -These algorithms serve mostly to simplify other algorithms where small constants are required. The last two sections discuss how to manipulate +for the package. The subsequent section discusses a set of algorithms which allow a single digit to be the 2nd operand for a variety of operations. +These algorithms serve mostly to simplify other algorithms where small constants are required. The last two sections discuss how to manipulate various representations of integers. For example, converting from an mp\_int to a string of character. \section{Integer Division with Remainder} @@ -4994,7 +4983,7 @@ various representations of integers. For example, converting from an mp\_int to Integer division aside from modular exponentiation is the most intensive algorithm to compute. Like addition, subtraction and multiplication the basis of this algorithm is the long-hand division algorithm taught to school children. Throughout this discussion several common variables -will be used. Let $x$ represent the divisor and $y$ represent the dividend. Let $q$ represent the integer quotient $\lfloor y / x \rfloor$ and +will be used. Let $x$ represent the divisor and $y$ represent the dividend. Let $q$ represent the integer quotient $\lfloor y / x \rfloor$ and let $r$ represent the remainder $r = y - x \lfloor y / x \rfloor$. The following simple algorithm will be used to start the discussion. \newpage\begin{figure}[!here] @@ -5024,42 +5013,42 @@ let $r$ represent the remainder $r = y - x \lfloor y / x \rfloor$. The followin As children we are taught this very simple algorithm for the case of $\beta = 10$. Almost instinctively several optimizations are taught for which their reason of existing are never explained. For this example let $y = 5471$ represent the dividend and $x = 23$ represent the divisor. -To find the first digit of the quotient the value of $k$ must be maximized such that $kx\beta^t$ is less than or equal to $y$ and +To find the first digit of the quotient the value of $k$ must be maximized such that $kx\beta^t$ is less than or equal to $y$ and simultaneously $(k + 1)x\beta^t$ is greater than $y$. Implicitly $k$ is the maximum value the $t$'th digit of the quotient may have. The habitual method used to find the maximum is to ``eyeball'' the two numbers, typically only the leading digits and quickly estimate a quotient. By only using leading -digits a much simpler division may be used to form an educated guess at what the value must be. In this case $k = \lfloor 54/23\rfloor = 2$ quickly -arises as a possible solution. Indeed $2x\beta^2 = 4600$ is less than $y = 5471$ and simultaneously $(k + 1)x\beta^2 = 6900$ is larger than $y$. +digits a much simpler division may be used to form an educated guess at what the value must be. In this case $k = \lfloor 54/23\rfloor = 2$ quickly +arises as a possible solution. Indeed $2x\beta^2 = 4600$ is less than $y = 5471$ and simultaneously $(k + 1)x\beta^2 = 6900$ is larger than $y$. As a result $k\beta^2$ is added to the quotient which now equals $q = 200$ and $4600$ is subtracted from $y$ to give a remainder of $y = 841$. -Again this process is repeated to produce the quotient digit $k = 3$ which makes the quotient $q = 200 + 3\beta = 230$ and the remainder +Again this process is repeated to produce the quotient digit $k = 3$ which makes the quotient $q = 200 + 3\beta = 230$ and the remainder $y = 841 - 3x\beta = 181$. Finally the last iteration of the loop produces $k = 7$ which leads to the quotient $q = 230 + 7 = 237$ and the -remainder $y = 181 - 7x = 20$. The final quotient and remainder found are $q = 237$ and $r = y = 20$ which are indeed correct since -$237 \cdot 23 + 20 = 5471$ is true. +remainder $y = 181 - 7x = 20$. The final quotient and remainder found are $q = 237$ and $r = y = 20$ which are indeed correct since +$237 \cdot 23 + 20 = 5471$ is true. \subsection{Quotient Estimation} \label{sec:divest} As alluded to earlier the quotient digit $k$ can be estimated from only the leading digits of both the divisor and dividend. When $p$ leading digits are used from both the divisor and dividend to form an estimation the accuracy of the estimation rises as $p$ grows. Technically speaking the estimation is based on assuming the lower $\vert \vert y \vert \vert - p$ and $\vert \vert x \vert \vert - p$ lower digits of the -dividend and divisor are zero. +dividend and divisor are zero. The value of the estimation may off by a few values in either direction and in general is fairly correct. A simplification \cite[pp. 271]{TAOCPV2} -of the estimation technique is to use $t + 1$ digits of the dividend and $t$ digits of the divisor, in particularly when $t = 1$. The estimate -using this technique is never too small. For the following proof let $t = \vert \vert y \vert \vert - 1$ and $s = \vert \vert x \vert \vert - 1$ +of the estimation technique is to use $t + 1$ digits of the dividend and $t$ digits of the divisor, in particularly when $t = 1$. The estimate +using this technique is never too small. For the following proof let $t = \vert \vert y \vert \vert - 1$ and $s = \vert \vert x \vert \vert - 1$ represent the most significant digits of the dividend and divisor respectively. -\textbf{Proof.}\textit{ The quotient $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ is greater than or equal to +\textbf{Proof.}\textit{ The quotient $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ is greater than or equal to $k = \lfloor y / (x \cdot \beta^{\vert \vert y \vert \vert - \vert \vert x \vert \vert - 1}) \rfloor$. } -The first obvious case is when $\hat k = \beta - 1$ in which case the proof is concluded since the real quotient cannot be larger. For all other +The first obvious case is when $\hat k = \beta - 1$ in which case the proof is concluded since the real quotient cannot be larger. For all other cases $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ and $\hat k x_s \ge y_t\beta + y_{t-1} - x_s + 1$. The latter portion of the inequalility -$-x_s + 1$ arises from the fact that a truncated integer division will give the same quotient for at most $x_s - 1$ values. Next a series of +$-x_s + 1$ arises from the fact that a truncated integer division will give the same quotient for at most $x_s - 1$ values. Next a series of inequalities will prove the hypothesis. \begin{equation} y - \hat k x \le y - \hat k x_s\beta^s \end{equation} -This is trivially true since $x \ge x_s\beta^s$. Next we replace $\hat kx_s\beta^s$ by the previous inequality for $\hat kx_s$. +This is trivially true since $x \ge x_s\beta^s$. Next we replace $\hat kx_s\beta^s$ by the previous inequality for $\hat kx_s$. \begin{equation} y - \hat k x \le y_t\beta^t + \ldots + y_0 - (y_t\beta^t + y_{t-1}\beta^{t-1} - x_s\beta^t + \beta^s) @@ -5084,13 +5073,13 @@ Which proves that $y - \hat kx \le x$ and by consequence $\hat k \ge k$ which co For the purposes of division a normalized input is when the divisors leading digit $x_n$ is greater than or equal to $\beta / 2$. By multiplying both $x$ and $y$ by $j = \lfloor (\beta / 2) / x_n \rfloor$ the quotient remains unchanged and the remainder is simply $j$ times the original remainder. The purpose of normalization is to ensure the leading digit of the divisor is sufficiently large such that the estimated quotient will -lie in the domain of a single digit. Consider the maximum dividend $(\beta - 1) \cdot \beta + (\beta - 1)$ and the minimum divisor $\beta / 2$. +lie in the domain of a single digit. Consider the maximum dividend $(\beta - 1) \cdot \beta + (\beta - 1)$ and the minimum divisor $\beta / 2$. -\begin{equation} -{{\beta^2 - 1} \over { \beta / 2}} \le 2\beta - {2 \over \beta} +\begin{equation} +{{\beta^2 - 1} \over { \beta / 2}} \le 2\beta - {2 \over \beta} \end{equation} -At most the quotient approaches $2\beta$, however, in practice this will not occur since that would imply the previous quotient digit was too small. +At most the quotient approaches $2\beta$, however, in practice this will not occur since that would imply the previous quotient digit was too small. \subsection{Radix-$\beta$ Division with Remainder} \newpage\begin{figure}[!here] @@ -5188,23 +5177,23 @@ Finalize the result. \\ This algorithm will calculate quotient and remainder from an integer division given a dividend and divisor. The algorithm is a signed division and will produce a fully qualified quotient and remainder. -First the divisor $b$ must be non-zero which is enforced in step one. If the divisor is larger than the dividend than the quotient is implicitly -zero and the remainder is the dividend. +First the divisor $b$ must be non-zero which is enforced in step one. If the divisor is larger than the dividend than the quotient is implicitly +zero and the remainder is the dividend. After the first two trivial cases of inputs are handled the variable $q$ is setup to receive the digits of the quotient. Two unsigned copies of the divisor $y$ and dividend $x$ are made as well. The core of the division algorithm is an unsigned division and will only work if the values are -positive. Now the two values $x$ and $y$ must be normalized such that the leading digit of $y$ is greater than or equal to $\beta / 2$. -This is performed by shifting both to the left by enough bits to get the desired normalization. +positive. Now the two values $x$ and $y$ must be normalized such that the leading digit of $y$ is greater than or equal to $\beta / 2$. +This is performed by shifting both to the left by enough bits to get the desired normalization. -At this point the division algorithm can begin producing digits of the quotient. Recall that maximum value of the estimation used is +At this point the division algorithm can begin producing digits of the quotient. Recall that maximum value of the estimation used is $2\beta - {2 \over \beta}$ which means that a digit of the quotient must be first produced by another means. In this case $y$ is shifted -to the left (\textit{step ten}) so that it has the same number of digits as $x$. The loop on step eleven will subtract multiples of the +to the left (\textit{step ten}) so that it has the same number of digits as $x$. The loop on step eleven will subtract multiples of the shifted copy of $y$ until $x$ is smaller. Since the leading digit of $y$ is greater than or equal to $\beta/2$ this loop will iterate at most two -times to produce the desired leading digit of the quotient. +times to produce the desired leading digit of the quotient. Now the remainder of the digits can be produced. The equation $\hat q = \lfloor {{x_i \beta + x_{i-1}}\over y_t} \rfloor$ is used to fairly accurately approximate the true quotient digit. The estimation can in theory produce an estimation as high as $2\beta - {2 \over \beta}$ but by -induction the upper quotient digit is correct (\textit{as established on step eleven}) and the estimate must be less than $\beta$. +induction the upper quotient digit is correct (\textit{as established on step eleven}) and the estimate must be less than $\beta$. Recall from section~\ref{sec:divest} that the estimation is never too low but may be too high. The next step of the estimation process is to refine the estimation. The loop on step 13.5 uses $x_i\beta^2 + x_{i-1}\beta + x_{i-2}$ and $q_{i - t - 1}(y_t\beta + y_{t-1})$ as a higher @@ -5212,51 +5201,51 @@ order approximation to adjust the quotient digit. After both phases of estimation the quotient digit may still be off by a value of one\footnote{This is similar to the error introduced by optimizing Barrett reduction.}. Steps 13.6 and 13.7 subtract the multiple of the divisor from the dividend (\textit{Similar to step 3.3 of -algorithm~\ref{fig:raddiv}} and then subsequently add a multiple of the divisor if the quotient was too large. +algorithm~\ref{fig:raddiv}} and then subsequently add a multiple of the divisor if the quotient was too large. -Now that the quotient has been determine finializing the result is a matter of clamping the quotient, fixing the sizes and de-normalizing the +Now that the quotient has been determine finializing the result is a matter of clamping the quotient, fixing the sizes and de-normalizing the remainder. An important aspect of this algorithm seemingly overlooked in other descriptions such as that of Algorithm 14.20 HAC \cite[pp. 598]{HAC} -is that when the estimations are being made (\textit{inside the loop on step 13.5}) that the digits $y_{t-1}$, $x_{i-2}$ and $x_{i-1}$ may lie +is that when the estimations are being made (\textit{inside the loop on step 13.5}) that the digits $y_{t-1}$, $x_{i-2}$ and $x_{i-1}$ may lie outside their respective boundaries. For example, if $t = 0$ or $i \le 1$ then the digits would be undefined. In those cases the digits should -respectively be replaced with a zero. +respectively be replaced with a zero. EXAM,bn_mp_div.c The implementation of this algorithm differs slightly from the pseudo code presented previously. In this algorithm either of the quotient $c$ or remainder $d$ may be passed as a \textbf{NULL} pointer which indicates their value is not desired. For example, the C code to call the division -algorithm with only the quotient is +algorithm with only the quotient is \begin{verbatim} mp_div(&a, &b, &c, NULL); /* c = [a/b] */ \end{verbatim} -Lines @108,if@ and @113,if@ handle the two trivial cases of inputs which are division by zero and dividend smaller than the divisor -respectively. After the two trivial cases all of the temporary variables are initialized. Line @147,neg@ determines the sign of -the quotient and line @148,sign@ ensures that both $x$ and $y$ are positive. +Lines @108,if@ and @113,if@ handle the two trivial cases of inputs which are division by zero and dividend smaller than the divisor +respectively. After the two trivial cases all of the temporary variables are initialized. Line @147,neg@ determines the sign of +the quotient and line @148,sign@ ensures that both $x$ and $y$ are positive. The number of bits in the leading digit is calculated on line @151,norm@. Implictly an mp\_int with $r$ digits will require $lg(\beta)(r-1) + k$ bits of precision which when reduced modulo $lg(\beta)$ produces the value of $k$. In this case $k$ is the number of bits in the leading digit which is exactly what is required. For the algorithm to operate $k$ must equal $lg(\beta) - 1$ and when it does not the inputs must be normalized by shifting them to the left by $lg(\beta) - 1 - k$ bits. -Throughout the variables $n$ and $t$ will represent the highest digit of $x$ and $y$ respectively. These are first used to produce the +Throughout the variables $n$ and $t$ will represent the highest digit of $x$ and $y$ respectively. These are first used to produce the leading digit of the quotient. The loop beginning on line @184,for@ will produce the remainder of the quotient digits. The conditional ``continue'' on line @186,continue@ is used to prevent the algorithm from reading past the leading edge of $x$ which can occur when the algorithm eliminates multiple non-zero digits in a single iteration. This ensures that $x_i$ is always non-zero since by definition the digits -above the $i$'th position $x$ must be zero in order for the quotient to be precise\footnote{Precise as far as integer division is concerned.}. +above the $i$'th position $x$ must be zero in order for the quotient to be precise\footnote{Precise as far as integer division is concerned.}. -Lines @214,t1@, @216,t1@ and @222,t2@ through @225,t2@ manually construct the high accuracy estimations by setting the digits of the two mp\_int -variables directly. +Lines @214,t1@, @216,t1@ and @222,t2@ through @225,t2@ manually construct the high accuracy estimations by setting the digits of the two mp\_int +variables directly. \section{Single Digit Helpers} -This section briefly describes a series of single digit helper algorithms which come in handy when working with small constants. All of +This section briefly describes a series of single digit helper algorithms which come in handy when working with small constants. All of the helper functions assume the single digit input is positive and will treat them as such. \subsection{Single Digit Addition and Subtraction} -Both addition and subtraction are performed by ``cheating'' and using mp\_set followed by the higher level addition or subtraction +Both addition and subtraction are performed by ``cheating'' and using mp\_set followed by the higher level addition or subtraction algorithms. As a result these algorithms are subtantially simpler with a slight cost in performance. \newpage\begin{figure}[!here] @@ -5322,17 +5311,17 @@ only has one digit. \caption{Algorithm mp\_mul\_d} \end{figure} \textbf{Algorithm mp\_mul\_d.} -This algorithm quickly multiplies an mp\_int by a small single digit value. It is specially tailored to the job and has a minimal of overhead. -Unlike the full multiplication algorithms this algorithm does not require any significnat temporary storage or memory allocations. +This algorithm quickly multiplies an mp\_int by a small single digit value. It is specially tailored to the job and has a minimal of overhead. +Unlike the full multiplication algorithms this algorithm does not require any significnat temporary storage or memory allocations. EXAM,bn_mp_mul_d.c -In this implementation the destination $c$ may point to the same mp\_int as the source $a$ since the result is written after the digit is -read from the source. This function uses pointer aliases $tmpa$ and $tmpc$ for the digits of $a$ and $c$ respectively. +In this implementation the destination $c$ may point to the same mp\_int as the source $a$ since the result is written after the digit is +read from the source. This function uses pointer aliases $tmpa$ and $tmpc$ for the digits of $a$ and $c$ respectively. \subsection{Single Digit Division} Like the single digit multiplication algorithm, single digit division is also a fairly common algorithm used in radix conversion. Since the -divisor is only a single digit a specialized variant of the division algorithm can be used to compute the quotient. +divisor is only a single digit a specialized variant of the division algorithm can be used to compute the quotient. \newpage\begin{figure}[!here] \begin{small} @@ -5369,35 +5358,35 @@ divisor is only a single digit a specialized variant of the division algorithm c \textbf{Algorithm mp\_div\_d.} This algorithm divides the mp\_int $a$ by the single mp\_digit $b$ using an optimized approach. Essentially in every iteration of the algorithm another digit of the dividend is reduced and another digit of quotient produced. Provided $b < \beta$ the value of $\hat w$ -after step 7.1 will be limited such that $0 \le \lfloor \hat w / b \rfloor < \beta$. +after step 7.1 will be limited such that $0 \le \lfloor \hat w / b \rfloor < \beta$. If the divisor $b$ is equal to three a variant of this algorithm is used which is called mp\_div\_3. It replaces the division by three with a multiplication by $\lfloor \beta / 3 \rfloor$ and the appropriate shift and residual fixup. In essence it is much like the Barrett reduction -from chapter seven. +from chapter seven. EXAM,bn_mp_div_d.c Like the implementation of algorithm mp\_div this algorithm allows either of the quotient or remainder to be passed as a \textbf{NULL} pointer to indicate the respective value is not required. This allows a trivial single digit modular reduction algorithm, mp\_mod\_d to be created. -The division and remainder on lines @44,/@ and @45,%@ can be replaced often by a single division on most processors. For example, the 32-bit x86 based -processors can divide a 64-bit quantity by a 32-bit quantity and produce the quotient and remainder simultaneously. Unfortunately the GCC -compiler does not recognize that optimization and will actually produce two function calls to find the quotient and remainder respectively. +The division and remainder on lines @90,/@ and @91,-@ can be replaced often by a single division on most processors. For example, the 32-bit x86 based +processors can divide a 64-bit quantity by a 32-bit quantity and produce the quotient and remainder simultaneously. Unfortunately the GCC +compiler does not recognize that optimization and will actually produce two function calls to find the quotient and remainder respectively. \subsection{Single Digit Root Extraction} -Finding the $n$'th root of an integer is fairly easy as far as numerical analysis is concerned. Algorithms such as the Newton-Raphson approximation -(\ref{eqn:newton}) series will converge very quickly to a root for any continuous function $f(x)$. +Finding the $n$'th root of an integer is fairly easy as far as numerical analysis is concerned. Algorithms such as the Newton-Raphson approximation +(\ref{eqn:newton}) series will converge very quickly to a root for any continuous function $f(x)$. \begin{equation} x_{i+1} = x_i - {f(x_i) \over f'(x_i)} \label{eqn:newton} \end{equation} -In this case the $n$'th root is desired and $f(x) = x^n - a$ where $a$ is the integer of which the root is desired. The derivative of $f(x)$ is +In this case the $n$'th root is desired and $f(x) = x^n - a$ where $a$ is the integer of which the root is desired. The derivative of $f(x)$ is simply $f'(x) = nx^{n - 1}$. Of particular importance is that this algorithm will be used over the integers not over the a more continuous domain -such as the real numbers. As a result the root found can be above the true root by few and must be manually adjusted. Ideally at the end of the -algorithm the $n$'th root $b$ of an integer $a$ is desired such that $b^n \le a$. +such as the real numbers. As a result the root found can be above the true root by few and must be manually adjusted. Ideally at the end of the +algorithm the $n$'th root $b$ of an integer $a$ is desired such that $b^n \le a$. \newpage\begin{figure}[!here] \begin{small} @@ -5438,19 +5427,19 @@ algorithm the $n$'th root $b$ of an integer $a$ is desired such that $b^n \le a$ \textbf{Algorithm mp\_n\_root.} This algorithm finds the integer $n$'th root of an input using the Newton-Raphson approach. It is partially optimized based on the observation that the numerator of ${f(x) \over f'(x)}$ can be derived from a partial denominator. That is at first the denominator is calculated by finding -$x^{b - 1}$. This value can then be multiplied by $x$ and have $a$ subtracted from it to find the numerator. This saves a total of $b - 1$ -multiplications by t$1$ inside the loop. +$x^{b - 1}$. This value can then be multiplied by $x$ and have $a$ subtracted from it to find the numerator. This saves a total of $b - 1$ +multiplications by t$1$ inside the loop. The initial value of the approximation is t$2 = 2$ which allows the algorithm to start with very small values and quickly converge on the -root. Ideally this algorithm is meant to find the $n$'th root of an input where $n$ is bounded by $2 \le n \le 5$. +root. Ideally this algorithm is meant to find the $n$'th root of an input where $n$ is bounded by $2 \le n \le 5$. EXAM,bn_mp_n_root.c \section{Random Number Generation} -Random numbers come up in a variety of activities from public key cryptography to simple simulations and various randomized algorithms. Pollard-Rho +Random numbers come up in a variety of activities from public key cryptography to simple simulations and various randomized algorithms. Pollard-Rho factoring for example, can make use of random values as starting points to find factors of a composite integer. In this case the algorithm presented -is solely for simulations and not intended for cryptographic use. +is solely for simulations and not intended for cryptographic use. \newpage\begin{figure}[!here] \begin{small} @@ -5478,7 +5467,7 @@ is solely for simulations and not intended for cryptographic use. \textbf{Algorithm mp\_rand.} This algorithm produces a pseudo-random integer of $b$ digits. By ensuring that the first digit is non-zero the algorithm also guarantees that the final result has at least $b$ digits. It relies heavily on a third-part random number generator which should ideally generate uniformly all of -the integers from $0$ to $\beta - 1$. +the integers from $0$ to $\beta - 1$. EXAM,bn_mp_rand.c @@ -5488,7 +5477,7 @@ be given a string of characters such as ``114585'' and turn it into the radix-$\ into a program. \subsection{Reading Radix-n Input} -For the purposes of this text we will assume that a simple lower ASCII map (\ref{fig:ASC}) is used for the values of from $0$ to $63$ to +For the purposes of this text we will assume that a simple lower ASCII map (\ref{fig:ASC}) is used for the values of from $0$ to $63$ to printable characters. For example, when the character ``N'' is read it represents the integer $23$. The first $16$ characters of the map are for the common representations up to hexadecimal. After that they match the ``base64'' encoding scheme which are suitable chosen such that they are printable. While outputting as base64 may not be too helpful for human operators it does allow communication via non binary @@ -5498,7 +5487,7 @@ mediums. \begin{center} \begin{tabular}{cc|cc|cc|cc} \hline \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} \\ -\hline +\hline 0 & 0 & 1 & 1 & 2 & 2 & 3 & 3 \\ 4 & 4 & 5 & 5 & 6 & 6 & 7 & 7 \\ 8 & 8 & 9 & 9 & 10 & A & 11 & B \\ @@ -5552,7 +5541,7 @@ mediums. \caption{Algorithm mp\_read\_radix} \end{figure} \textbf{Algorithm mp\_read\_radix.} -This algorithm will read an ASCII string and produce the radix-$\beta$ mp\_int representation of the same integer. A minus symbol ``-'' may precede the +This algorithm will read an ASCII string and produce the radix-$\beta$ mp\_int representation of the same integer. A minus symbol ``-'' may precede the string to indicate the value is negative, otherwise it is assumed to be positive. The algorithm will read up to $sn$ characters from the input and will stop when it reads a character it cannot map the algorithm stops reading characters from the string. This allows numbers to be embedded as part of larger input without any significant problem. @@ -5560,7 +5549,7 @@ as part of larger input without any significant problem. EXAM,bn_mp_read_radix.c \subsection{Generating Radix-$n$ Output} -Generating radix-$n$ output is fairly trivial with a division and remainder algorithm. +Generating radix-$n$ output is fairly trivial with a division and remainder algorithm. \newpage\begin{figure}[!here] \begin{small} @@ -5594,10 +5583,10 @@ Generating radix-$n$ output is fairly trivial with a division and remainder algo \caption{Algorithm mp\_toradix} \end{figure} \textbf{Algorithm mp\_toradix.} -This algorithm computes the radix-$r$ representation of an mp\_int $a$. The ``digits'' of the representation are extracted by reducing +This algorithm computes the radix-$r$ representation of an mp\_int $a$. The ``digits'' of the representation are extracted by reducing successive powers of $\lfloor a / r^k \rfloor$ the input modulo $r$ until $r^k > a$. Note that instead of actually dividing by $r^k$ in each iteration the quotient $\lfloor a / r \rfloor$ is saved for the next iteration. As a result a series of trivial $n \times 1$ divisions -are required instead of a series of $n \times k$ divisions. One design flaw of this approach is that the digits are produced in the reverse order +are required instead of a series of $n \times k$ divisions. One design flaw of this approach is that the digits are produced in the reverse order (see~\ref{fig:mpradix}). To remedy this flaw the digits must be swapped or simply ``reversed''. \begin{figure} @@ -5619,7 +5608,7 @@ are required instead of a series of $n \times k$ divisions. One design flaw of EXAM,bn_mp_toradix.c \chapter{Number Theoretic Algorithms} -This chapter discusses several fundamental number theoretic algorithms such as the greatest common divisor, least common multiple and Jacobi +This chapter discusses several fundamental number theoretic algorithms such as the greatest common divisor, least common multiple and Jacobi symbol computation. These algorithms arise as essential components in several key cryptographic algorithms such as the RSA public key algorithm and various Sieve based factoring algorithms. @@ -5629,7 +5618,7 @@ both $a$ and $b$. That is, $k$ is the largest integer such that $0 \equiv a \mb simultaneously. The most common approach (cite) is to reduce one input modulo another. That is if $a$ and $b$ are divisible by some integer $k$ and if $qa + r = b$ then -$r$ is also divisible by $k$. The reduction pattern follows $\left < a , b \right > \rightarrow \left < b, a \mbox{ mod } b \right >$. +$r$ is also divisible by $k$. The reduction pattern follows $\left < a , b \right > \rightarrow \left < b, a \mbox{ mod } b \right >$. \newpage\begin{figure}[!here] \begin{small} @@ -5653,9 +5642,9 @@ $r$ is also divisible by $k$. The reduction pattern follows $\left < a , b \rig \end{figure} This algorithm will quickly converge on the greatest common divisor since the residue $r$ tends diminish rapidly. However, divisions are -relatively expensive operations to perform and should ideally be avoided. There is another approach based on a similar relationship of -greatest common divisors. The faster approach is based on the observation that if $k$ divides both $a$ and $b$ it will also divide $a - b$. -In particular, we would like $a - b$ to decrease in magnitude which implies that $b \ge a$. +relatively expensive operations to perform and should ideally be avoided. There is another approach based on a similar relationship of +greatest common divisors. The faster approach is based on the observation that if $k$ divides both $a$ and $b$ it will also divide $a - b$. +In particular, we would like $a - b$ to decrease in magnitude which implies that $b \ge a$. \begin{figure}[!here] \begin{small} @@ -5679,17 +5668,17 @@ In particular, we would like $a - b$ to decrease in magnitude which implies that \textbf{Proof} \textit{Algorithm~\ref{fig:gcd2} will return the greatest common divisor of $a$ and $b$.} The algorithm in figure~\ref{fig:gcd2} will eventually terminate since $b \ge a$ the subtraction in step 1.2 will be a value less than $b$. In other -words in every iteration that tuple $\left < a, b \right >$ decrease in magnitude until eventually $a = b$. Since both $a$ and $b$ are always -divisible by the greatest common divisor (\textit{until the last iteration}) and in the last iteration of the algorithm $b = 0$, therefore, in the +words in every iteration that tuple $\left < a, b \right >$ decrease in magnitude until eventually $a = b$. Since both $a$ and $b$ are always +divisible by the greatest common divisor (\textit{until the last iteration}) and in the last iteration of the algorithm $b = 0$, therefore, in the second to last iteration of the algorithm $b = a$ and clearly $(a, a) = a$ which concludes the proof. \textbf{QED}. -As a matter of practicality algorithm \ref{fig:gcd1} decreases far too slowly to be useful. Specially if $b$ is much larger than $a$ such that +As a matter of practicality algorithm \ref{fig:gcd1} decreases far too slowly to be useful. Specially if $b$ is much larger than $a$ such that $b - a$ is still very much larger than $a$. A simple addition to the algorithm is to divide $b - a$ by a power of some integer $p$ which does not divide the greatest common divisor but will divide $b - a$. In this case ${b - a} \over p$ is also an integer and still divisible by the greatest common divisor. -However, instead of factoring $b - a$ to find a suitable value of $p$ the powers of $p$ can be removed from $a$ and $b$ that are in common first. -Then inside the loop whenever $b - a$ is divisible by some power of $p$ it can be safely removed. +However, instead of factoring $b - a$ to find a suitable value of $p$ the powers of $p$ can be removed from $a$ and $b$ that are in common first. +Then inside the loop whenever $b - a$ is divisible by some power of $p$ it can be safely removed. \begin{figure}[!here] \begin{small} @@ -5722,14 +5711,14 @@ Then inside the loop whenever $b - a$ is divisible by some power of $p$ it can b \label{fig:gcd3} \end{figure} -This algorithm is based on the first except it removes powers of $p$ first and inside the main loop to ensure the tuple $\left < a, b \right >$ +This algorithm is based on the first except it removes powers of $p$ first and inside the main loop to ensure the tuple $\left < a, b \right >$ decreases more rapidly. The first loop on step two removes powers of $p$ that are in common. A count, $k$, is kept which will present a common -divisor of $p^k$. After step two the remaining common divisor of $a$ and $b$ cannot be divisible by $p$. This means that $p$ can be safely -divided out of the difference $b - a$ so long as the division leaves no remainder. +divisor of $p^k$. After step two the remaining common divisor of $a$ and $b$ cannot be divisible by $p$. This means that $p$ can be safely +divided out of the difference $b - a$ so long as the division leaves no remainder. In particular the value of $p$ should be chosen such that the division on step 5.3.1 occur often. It also helps that division by $p$ be easy to compute. The ideal choice of $p$ is two since division by two amounts to a right logical shift. Another important observation is that by -step five both $a$ and $b$ are odd. Therefore, the diffrence $b - a$ must be even which means that each iteration removes one bit from the +step five both $a$ and $b$ are odd. Therefore, the diffrence $b - a$ must be even which means that each iteration removes one bit from the largest of the pair. \subsection{Complete Greatest Common Divisor} @@ -5777,15 +5766,15 @@ and will produce the greatest common divisor. \textbf{Algorithm mp\_gcd.} This algorithm will produce the greatest common divisor of two mp\_ints $a$ and $b$. The algorithm was originally based on Algorithm B of Knuth \cite[pp. 338]{TAOCPV2} but has been modified to be simpler to explain. In theory it achieves the same asymptotic working time as -Algorithm B and in practice this appears to be true. +Algorithm B and in practice this appears to be true. -The first two steps handle the cases where either one of or both inputs are zero. If either input is zero the greatest common divisor is the -largest input or zero if they are both zero. If the inputs are not trivial than $u$ and $v$ are assigned the absolute values of +The first two steps handle the cases where either one of or both inputs are zero. If either input is zero the greatest common divisor is the +largest input or zero if they are both zero. If the inputs are not trivial than $u$ and $v$ are assigned the absolute values of $a$ and $b$ respectively and the algorithm will proceed to reduce the pair. Step five will divide out any common factors of two and keep track of the count in the variable $k$. After this step, two is no longer a -factor of the remaining greatest common divisor between $u$ and $v$ and can be safely evenly divided out of either whenever they are even. Step -six and seven ensure that the $u$ and $v$ respectively have no more factors of two. At most only one of the while--loops will iterate since +factor of the remaining greatest common divisor between $u$ and $v$ and can be safely evenly divided out of either whenever they are even. Step +six and seven ensure that the $u$ and $v$ respectively have no more factors of two. At most only one of the while--loops will iterate since they cannot both be even. By step eight both of $u$ and $v$ are odd which is required for the inner logic. First the pair are swapped such that $v$ is equal to @@ -5793,22 +5782,22 @@ or greater than $u$. This ensures that the subtraction on step 8.2 will always factors of two from the difference $u$ to ensure that in the next iteration of the loop both are once again odd. After $v = 0$ occurs the variable $u$ has the greatest common divisor of the pair $\left < u, v \right >$ just after step six. The result -must be adjusted by multiplying by the common factors of two ($2^k$) removed earlier. +must be adjusted by multiplying by the common factors of two ($2^k$) removed earlier. EXAM,bn_mp_gcd.c -This function makes use of the macros mp\_iszero and mp\_iseven. The former evaluates to $1$ if the input mp\_int is equivalent to the +This function makes use of the macros mp\_iszero and mp\_iseven. The former evaluates to $1$ if the input mp\_int is equivalent to the integer zero otherwise it evaluates to $0$. The latter evaluates to $1$ if the input mp\_int represents a non-zero even integer otherwise -it evaluates to $0$. Note that just because mp\_iseven may evaluate to $0$ does not mean the input is odd, it could also be zero. The three +it evaluates to $0$. Note that just because mp\_iseven may evaluate to $0$ does not mean the input is odd, it could also be zero. The three trivial cases of inputs are handled on lines @23,zero@ through @29,}@. After those lines the inputs are assumed to be non-zero. -Lines @32,if@ and @36,if@ make local copies $u$ and $v$ of the inputs $a$ and $b$ respectively. At this point the common factors of two +Lines @32,if@ and @36,if@ make local copies $u$ and $v$ of the inputs $a$ and $b$ respectively. At this point the common factors of two must be divided out of the two inputs. The block starting at line @43,common@ removes common factors of two by first counting the number of trailing -zero bits in both. The local integer $k$ is used to keep track of how many factors of $2$ are pulled out of both values. It is assumed that -the number of factors will not exceed the maximum value of a C ``int'' data type\footnote{Strictly speaking no array in C may have more than -entries than are accessible by an ``int'' so this is not a limitation.}. +zero bits in both. The local integer $k$ is used to keep track of how many factors of $2$ are pulled out of both values. It is assumed that +the number of factors will not exceed the maximum value of a C ``int'' data type\footnote{Strictly speaking no array in C may have more than +entries than are accessible by an ``int'' so this is not a limitation.}. -At this point there are no more common factors of two in the two values. The divisions by a power of two on lines @60,div_2d@ and @67,div_2d@ remove +At this point there are no more common factors of two in the two values. The divisions by a power of two on lines @60,div_2d@ and @67,div_2d@ remove any independent factors of two such that both $u$ and $v$ are guaranteed to be an odd integer before hitting the main body of the algorithm. The while loop on line @72, while@ performs the reduction of the pair until $v$ is equal to zero. The unsigned comparison and subtraction algorithms are used in place of the full signed routines since both values are guaranteed to be positive and the result of the subtraction is guaranteed to be non-negative. @@ -5819,8 +5808,8 @@ least common multiple is normally denoted as $[ a, b ]$ and numerically equivale and $b = 2 \cdot 3 \cdot 3 \cdot 7 = 126$ the least common multiple is ${126 \over {(12, 126)}} = {126 \over 6} = 21$. The least common multiple arises often in coding theory as well as number theory. If two functions have periods of $a$ and $b$ respectively they will -collide, that is be in synchronous states, after only $[ a, b ]$ iterations. This is why, for example, random number generators based on -Linear Feedback Shift Registers (LFSR) tend to use registers with periods which are co-prime (\textit{e.g. the greatest common divisor is one.}). +collide, that is be in synchronous states, after only $[ a, b ]$ iterations. This is why, for example, random number generators based on +Linear Feedback Shift Registers (LFSR) tend to use registers with periods which are co-prime (\textit{e.g. the greatest common divisor is one.}). Similarly in number theory if a composite $n$ has two prime factors $p$ and $q$ then maximal order of any unit of $\Z/n\Z$ will be $[ p - 1, q - 1] $. \begin{figure}[!here] @@ -5848,7 +5837,7 @@ dividing the product of the two inputs by their greatest common divisor. EXAM,bn_mp_lcm.c \section{Jacobi Symbol Computation} -To explain the Jacobi Symbol we shall first discuss the Legendre function\footnote{Arrg. What is the name of this?} off which the Jacobi symbol is +To explain the Jacobi Symbol we shall first discuss the Legendre function\footnote{Arrg. What is the name of this?} off which the Jacobi symbol is defined. The Legendre function computes whether or not an integer $a$ is a quadratic residue modulo an odd prime $p$. Numerically it is equivalent to equation \ref{eqn:legendre}. @@ -5858,9 +5847,9 @@ equivalent to equation \ref{eqn:legendre}. a^{(p-1)/2} \equiv \begin{array}{rl} -1 & \mbox{if }a\mbox{ is a quadratic non-residue.} \\ 0 & \mbox{if }a\mbox{ divides }p\mbox{.} \\ - 1 & \mbox{if }a\mbox{ is a quadratic residue}. + 1 & \mbox{if }a\mbox{ is a quadratic residue}. \end{array} \mbox{ (mod }p\mbox{)} -\label{eqn:legendre} +\label{eqn:legendre} \end{equation} \textbf{Proof.} \textit{Equation \ref{eqn:legendre} correctly identifies the residue status of an integer $a$ modulo a prime $p$.} @@ -5884,7 +5873,7 @@ then the quantity in the braces must be zero. By reduction, \begin{eqnarray} \left (x^2 \right )^{(p-1)/2} - a^{(p-1)/2} \equiv 0 \nonumber \\ \left (x^2 \right )^{(p-1)/2} \equiv a^{(p-1)/2} \nonumber \\ -x^2 \equiv a \mbox{ (mod }p\mbox{)} +x^2 \equiv a \mbox{ (mod }p\mbox{)} \end{eqnarray} As a result there must be a solution to the quadratic equation and in turn $a$ must be a quadratic residue. If $a$ does not divide $p$ and $a$ @@ -5904,47 +5893,47 @@ the Jacobi symbol $\left ( { a \over p } \right )$ is equal to the following equ By inspection if $p$ is prime the Jacobi symbol is equivalent to the Legendre function. The following facts\footnote{See HAC \cite[pp. 72-74]{HAC} for further details.} will be used to derive an efficient Jacobi symbol algorithm. Where $p$ is an odd integer greater than two and $a, b \in \Z$ the -following are true. +following are true. \begin{enumerate} -\item $\left ( { a \over p} \right )$ equals $-1$, $0$ or $1$. +\item $\left ( { a \over p} \right )$ equals $-1$, $0$ or $1$. \item $\left ( { ab \over p} \right ) = \left ( { a \over p} \right )\left ( { b \over p} \right )$. \item If $a \equiv b$ then $\left ( { a \over p} \right ) = \left ( { b \over p} \right )$. \item $\left ( { 2 \over p} \right )$ equals $1$ if $p \equiv 1$ or $7 \mbox{ (mod }8\mbox{)}$. Otherwise, it equals $-1$. -\item $\left ( { a \over p} \right ) \equiv \left ( { p \over a} \right ) \cdot (-1)^{(p-1)(a-1)/4}$. More specifically -$\left ( { a \over p} \right ) = \left ( { p \over a} \right )$ if $p \equiv a \equiv 1 \mbox{ (mod }4\mbox{)}$. +\item $\left ( { a \over p} \right ) \equiv \left ( { p \over a} \right ) \cdot (-1)^{(p-1)(a-1)/4}$. More specifically +$\left ( { a \over p} \right ) = \left ( { p \over a} \right )$ if $p \equiv a \equiv 1 \mbox{ (mod }4\mbox{)}$. \end{enumerate} Using these facts if $a = 2^k \cdot a'$ then \begin{eqnarray} \left ( { a \over p } \right ) = \left ( {{2^k} \over p } \right ) \left ( {a' \over p} \right ) \nonumber \\ - = \left ( {2 \over p } \right )^k \left ( {a' \over p} \right ) + = \left ( {2 \over p } \right )^k \left ( {a' \over p} \right ) \label{eqn:jacobi} \end{eqnarray} -By fact five, +By fact five, \begin{equation} -\left ( { a \over p } \right ) = \left ( { p \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} +\left ( { a \over p } \right ) = \left ( { p \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} \end{equation} -Subsequently by fact three since $p \equiv (p \mbox{ mod }a) \mbox{ (mod }a\mbox{)}$ then +Subsequently by fact three since $p \equiv (p \mbox{ mod }a) \mbox{ (mod }a\mbox{)}$ then \begin{equation} -\left ( { a \over p } \right ) = \left ( { {p \mbox{ mod } a} \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} +\left ( { a \over p } \right ) = \left ( { {p \mbox{ mod } a} \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} \end{equation} By putting both observations into equation \ref{eqn:jacobi} the following simplified equation is formed. \begin{equation} -\left ( { a \over p } \right ) = \left ( {2 \over p } \right )^k \left ( {{p\mbox{ mod }a'} \over a'} \right ) \cdot (-1)^{(p-1)(a'-1)/4} +\left ( { a \over p } \right ) = \left ( {2 \over p } \right )^k \left ( {{p\mbox{ mod }a'} \over a'} \right ) \cdot (-1)^{(p-1)(a'-1)/4} \end{equation} -The value of $\left ( {{p \mbox{ mod }a'} \over a'} \right )$ can be found by using the same equation recursively. The value of -$\left ( {2 \over p } \right )^k$ equals $1$ if $k$ is even otherwise it equals $\left ( {2 \over p } \right )$. Using this approach the -factors of $p$ do not have to be known. Furthermore, if $(a, p) = 1$ then the algorithm will terminate when the recursion requests the -Jacobi symbol computation of $\left ( {1 \over a'} \right )$ which is simply $1$. +The value of $\left ( {{p \mbox{ mod }a'} \over a'} \right )$ can be found by using the same equation recursively. The value of +$\left ( {2 \over p } \right )^k$ equals $1$ if $k$ is even otherwise it equals $\left ( {2 \over p } \right )$. Using this approach the +factors of $p$ do not have to be known. Furthermore, if $(a, p) = 1$ then the algorithm will terminate when the recursion requests the +Jacobi symbol computation of $\left ( {1 \over a'} \right )$ which is simply $1$. \newpage\begin{figure}[!here] \begin{small} @@ -5988,12 +5977,12 @@ Jacobi symbol computation of $\left ( {1 \over a'} \right )$ which is simply $1$ \end{figure} \textbf{Algorithm mp\_jacobi.} This algorithm computes the Jacobi symbol for an arbitrary positive integer $a$ with respect to an odd integer $p$ greater than three. The algorithm -is based on algorithm 2.149 of HAC \cite[pp. 73]{HAC}. +is based on algorithm 2.149 of HAC \cite[pp. 73]{HAC}. Step numbers one and two handle the trivial cases of $a = 0$ and $a = 1$ respectively. Step five determines the number of two factors in the -input $a$. If $k$ is even than the term $\left ( { 2 \over p } \right )^k$ must always evaluate to one. If $k$ is odd than the term evaluates to one -if $p_0$ is congruent to one or seven modulo eight, otherwise it evaluates to $-1$. After the the $\left ( { 2 \over p } \right )^k$ term is handled -the $(-1)^{(p-1)(a'-1)/4}$ is computed and multiplied against the current product $s$. The latter term evaluates to one if both $p$ and $a'$ +input $a$. If $k$ is even than the term $\left ( { 2 \over p } \right )^k$ must always evaluate to one. If $k$ is odd than the term evaluates to one +if $p_0$ is congruent to one or seven modulo eight, otherwise it evaluates to $-1$. After the the $\left ( { 2 \over p } \right )^k$ term is handled +the $(-1)^{(p-1)(a'-1)/4}$ is computed and multiplied against the current product $s$. The latter term evaluates to one if both $p$ and $a'$ are congruent to one modulo four, otherwise it evaluates to negative one. By step nine if $a'$ does not equal one a recursion is required. Step 9.1 computes $p' \equiv p \mbox{ (mod }a'\mbox{)}$ and will recurse to compute @@ -6001,22 +5990,22 @@ $\left ( {p' \over a'} \right )$ which is multiplied against the current Jacobi EXAM,bn_mp_jacobi.c -As a matter of practicality the variable $a'$ as per the pseudo-code is reprensented by the variable $a1$ since the $'$ symbol is not valid for a C -variable name character. +As a matter of practicality the variable $a'$ as per the pseudo-code is reprensented by the variable $a1$ since the $'$ symbol is not valid for a C +variable name character. The two simple cases of $a = 0$ and $a = 1$ are handled at the very beginning to simplify the algorithm. If the input is non-trivial the algorithm has to proceed compute the Jacobi. The variable $s$ is used to hold the current Jacobi product. Note that $s$ is merely a C ``int'' data type since -the values it may obtain are merely $-1$, $0$ and $1$. +the values it may obtain are merely $-1$, $0$ and $1$. After a local copy of $a$ is made all of the factors of two are divided out and the total stored in $k$. Technically only the least significant -bit of $k$ is required, however, it makes the algorithm simpler to follow to perform an addition. In practice an exclusive-or and addition have the same +bit of $k$ is required, however, it makes the algorithm simpler to follow to perform an addition. In practice an exclusive-or and addition have the same processor requirements and neither is faster than the other. Line @59, if@ through @70, }@ determines the value of $\left ( { 2 \over p } \right )^k$. If the least significant bit of $k$ is zero than $k$ is even and the value is one. Otherwise, the value of $s$ depends on which residue class $p$ belongs to modulo eight. The value of -$(-1)^{(p-1)(a'-1)/4}$ is compute and multiplied against $s$ on lines @73, if@ through @75, }@. +$(-1)^{(p-1)(a'-1)/4}$ is compute and multiplied against $s$ on lines @73, if@ through @75, }@. -Finally, if $a1$ does not equal one the algorithm must recurse and compute $\left ( {p' \over a'} \right )$. +Finally, if $a1$ does not equal one the algorithm must recurse and compute $\left ( {p' \over a'} \right )$. \textit{-- Comment about default $s$ and such...} @@ -6024,31 +6013,31 @@ Finally, if $a1$ does not equal one the algorithm must recurse and compute $\lef \label{sec:modinv} The modular inverse of a number actually refers to the modular multiplicative inverse. Essentially for any integer $a$ such that $(a, p) = 1$ there exist another integer $b$ such that $ab \equiv 1 \mbox{ (mod }p\mbox{)}$. The integer $b$ is called the multiplicative inverse of $a$ which is -denoted as $b = a^{-1}$. Technically speaking modular inversion is a well defined operation for any finite ring or field not just for rings and +denoted as $b = a^{-1}$. Technically speaking modular inversion is a well defined operation for any finite ring or field not just for rings and fields of integers. However, the former will be the matter of discussion. -The simplest approach is to compute the algebraic inverse of the input. That is to compute $b \equiv a^{\Phi(p) - 1}$. If $\Phi(p)$ is the +The simplest approach is to compute the algebraic inverse of the input. That is to compute $b \equiv a^{\Phi(p) - 1}$. If $\Phi(p)$ is the order of the multiplicative subgroup modulo $p$ then $b$ must be the multiplicative inverse of $a$. The proof of which is trivial. \begin{equation} ab \equiv a \left (a^{\Phi(p) - 1} \right ) \equiv a^{\Phi(p)} \equiv a^0 \equiv 1 \mbox{ (mod }p\mbox{)} \end{equation} -However, as simple as this approach may be it has two serious flaws. It requires that the value of $\Phi(p)$ be known which if $p$ is composite -requires all of the prime factors. This approach also is very slow as the size of $p$ grows. +However, as simple as this approach may be it has two serious flaws. It requires that the value of $\Phi(p)$ be known which if $p$ is composite +requires all of the prime factors. This approach also is very slow as the size of $p$ grows. -A simpler approach is based on the observation that solving for the multiplicative inverse is equivalent to solving the linear +A simpler approach is based on the observation that solving for the multiplicative inverse is equivalent to solving the linear Diophantine\footnote{See LeVeque \cite[pp. 40-43]{LeVeque} for more information.} equation. \begin{equation} ab + pq = 1 \end{equation} -Where $a$, $b$, $p$ and $q$ are all integers. If such a pair of integers $ \left < b, q \right >$ exist than $b$ is the multiplicative inverse of -$a$ modulo $p$. The extended Euclidean algorithm (Knuth \cite[pp. 342]{TAOCPV2}) can be used to solve such equations provided $(a, p) = 1$. +Where $a$, $b$, $p$ and $q$ are all integers. If such a pair of integers $ \left < b, q \right >$ exist than $b$ is the multiplicative inverse of +$a$ modulo $p$. The extended Euclidean algorithm (Knuth \cite[pp. 342]{TAOCPV2}) can be used to solve such equations provided $(a, p) = 1$. However, instead of using that algorithm directly a variant known as the binary Extended Euclidean algorithm will be used in its place. The -binary approach is very similar to the binary greatest common divisor algorithm except it will produce a full solution to the Diophantine -equation. +binary approach is very similar to the binary greatest common divisor algorithm except it will produce a full solution to the Diophantine +equation. \subsection{General Case} \newpage\begin{figure}[!here] @@ -6100,12 +6089,12 @@ equation. \end{small} \end{figure} \textbf{Algorithm mp\_invmod.} -This algorithm computes the modular multiplicative inverse of an integer $a$ modulo an integer $b$. This algorithm is a variation of the +This algorithm computes the modular multiplicative inverse of an integer $a$ modulo an integer $b$. This algorithm is a variation of the extended binary Euclidean algorithm from HAC \cite[pp. 608]{HAC}. It has been modified to only compute the modular inverse and not a complete -Diophantine solution. +Diophantine solution. If $b \le 0$ than the modulus is invalid and MP\_VAL is returned. Similarly if both $a$ and $b$ are even then there cannot be a multiplicative -inverse for $a$ and the error is reported. +inverse for $a$ and the error is reported. The astute reader will observe that steps seven through nine are very similar to the binary greatest common divisor algorithm mp\_gcd. In this case the other variables to the Diophantine equation are solved. The algorithm terminates when $u = 0$ in which case the solution is @@ -6115,8 +6104,8 @@ Ca + Db = v \end{equation} If $v$, the greatest common divisor of $a$ and $b$ is not equal to one then the algorithm will report an error as no inverse exists. Otherwise, $C$ -is the modular inverse of $a$. The actual value of $C$ is congruent to, but not necessarily equal to, the ideal modular inverse which should lie -within $1 \le a^{-1} < b$. Step numbers twelve and thirteen adjust the inverse until it is in range. If the original input $a$ is within $0 < a < p$ +is the modular inverse of $a$. The actual value of $C$ is congruent to, but not necessarily equal to, the ideal modular inverse which should lie +within $1 \le a^{-1} < b$. Step numbers twelve and thirteen adjust the inverse until it is in range. If the original input $a$ is within $0 < a < p$ then only a couple of additions or subtractions will be required to adjust the inverse. EXAM,bn_mp_invmod.c @@ -6124,22 +6113,22 @@ EXAM,bn_mp_invmod.c \subsubsection{Odd Moduli} When the modulus $b$ is odd the variables $A$ and $C$ are fixed and are not required to compute the inverse. In particular by attempting to solve -the Diophantine $Cb + Da = 1$ only $B$ and $D$ are required to find the inverse of $a$. +the Diophantine $Cb + Da = 1$ only $B$ and $D$ are required to find the inverse of $a$. -The algorithm fast\_mp\_invmod is a direct adaptation of algorithm mp\_invmod with all all steps involving either $A$ or $C$ removed. This +The algorithm fast\_mp\_invmod is a direct adaptation of algorithm mp\_invmod with all all steps involving either $A$ or $C$ removed. This optimization will halve the time required to compute the modular inverse. \section{Primality Tests} -A non-zero integer $a$ is said to be prime if it is not divisible by any other integer excluding one and itself. For example, $a = 7$ is prime -since the integers $2 \ldots 6$ do not evenly divide $a$. By contrast, $a = 6$ is not prime since $a = 6 = 2 \cdot 3$. +A non-zero integer $a$ is said to be prime if it is not divisible by any other integer excluding one and itself. For example, $a = 7$ is prime +since the integers $2 \ldots 6$ do not evenly divide $a$. By contrast, $a = 6$ is not prime since $a = 6 = 2 \cdot 3$. Prime numbers arise in cryptography considerably as they allow finite fields to be formed. The ability to determine whether an integer is prime or not quickly has been a viable subject in cryptography and number theory for considerable time. The algorithms that will be presented are all probablistic algorithms in that when they report an integer is composite it must be composite. However, when the algorithms report an integer is -prime the algorithm may be incorrect. +prime the algorithm may be incorrect. -As will be discussed it is possible to limit the probability of error so well that for practical purposes the probablity of error might as +As will be discussed it is possible to limit the probability of error so well that for practical purposes the probablity of error might as well be zero. For the purposes of these discussions let $n$ represent the candidate integer of which the primality is in question. \subsection{Trial Division} @@ -6153,13 +6142,13 @@ of the primes less than $\sqrt{n} + 1$ the algorithm cannot prove if a candidate The benefit of this test is that trial division by small values is fairly efficient. Specially compared to the other algorithms that will be discussed shortly. The probability that this approach correctly identifies a composite candidate when tested with all primes upto $q$ is given by -$1 - {1.12 \over ln(q)}$. The graph (\ref{pic:primality}, will be added later) demonstrates the probability of success for the range -$3 \le q \le 100$. +$1 - {1.12 \over ln(q)}$. The graph (\ref{pic:primality}, will be added later) demonstrates the probability of success for the range +$3 \le q \le 100$. -At approximately $q = 30$ the gain of performing further tests diminishes fairly quickly. At $q = 90$ further testing is generally not going to -be of any practical use. In the case of LibTomMath the default limit $q = 256$ was chosen since it is not too high and will eliminate -approximately $80\%$ of all candidate integers. The constant \textbf{PRIME\_SIZE} is equal to the number of primes in the test base. The -array \_\_prime\_tab is an array of the first \textbf{PRIME\_SIZE} prime numbers. +At approximately $q = 30$ the gain of performing further tests diminishes fairly quickly. At $q = 90$ further testing is generally not going to +be of any practical use. In the case of LibTomMath the default limit $q = 256$ was chosen since it is not too high and will eliminate +approximately $80\%$ of all candidate integers. The constant \textbf{PRIME\_SIZE} is equal to the number of primes in the test base. The +array \_\_prime\_tab is an array of the first \textbf{PRIME\_SIZE} prime numbers. \begin{figure}[!here] \begin{small} @@ -6183,27 +6172,27 @@ array \_\_prime\_tab is an array of the first \textbf{PRIME\_SIZE} prime numbers \caption{Algorithm mp\_prime\_is\_divisible} \end{figure} \textbf{Algorithm mp\_prime\_is\_divisible.} -This algorithm attempts to determine if a candidate integer $n$ is composite by performing trial divisions. +This algorithm attempts to determine if a candidate integer $n$ is composite by performing trial divisions. EXAM,bn_mp_prime_is_divisible.c -The algorithm defaults to a return of $0$ in case an error occurs. The values in the prime table are all specified to be in the range of a +The algorithm defaults to a return of $0$ in case an error occurs. The values in the prime table are all specified to be in the range of a mp\_digit. The table \_\_prime\_tab is defined in the following file. EXAM,bn_prime_tab.c Note that there are two possible tables. When an mp\_digit is 7-bits long only the primes upto $127$ may be included, otherwise the primes -upto $1619$ are used. Note that the value of \textbf{PRIME\_SIZE} is a constant dependent on the size of a mp\_digit. +upto $1619$ are used. Note that the value of \textbf{PRIME\_SIZE} is a constant dependent on the size of a mp\_digit. \subsection{The Fermat Test} -The Fermat test is probably one the oldest tests to have a non-trivial probability of success. It is based on the fact that if $n$ is in +The Fermat test is probably one the oldest tests to have a non-trivial probability of success. It is based on the fact that if $n$ is in fact prime then $a^{n} \equiv a \mbox{ (mod }n\mbox{)}$ for all $0 < a < n$. The reason being that if $n$ is prime than the order of -the multiplicative sub group is $n - 1$. Any base $a$ must have an order which divides $n - 1$ and as such $a^n$ is equivalent to -$a^1 = a$. +the multiplicative sub group is $n - 1$. Any base $a$ must have an order which divides $n - 1$ and as such $a^n$ is equivalent to +$a^1 = a$. -If $n$ is composite then any given base $a$ does not have to have a period which divides $n - 1$. In which case +If $n$ is composite then any given base $a$ does not have to have a period which divides $n - 1$. In which case it is possible that $a^n \nequiv a \mbox{ (mod }n\mbox{)}$. However, this test is not absolute as it is possible that the order -of a base will divide $n - 1$ which would then be reported as prime. Such a base yields what is known as a Fermat pseudo-prime. Several +of a base will divide $n - 1$ which would then be reported as prime. Such a base yields what is known as a Fermat pseudo-prime. Several integers known as Carmichael numbers will be a pseudo-prime to all valid bases. Fortunately such numbers are extremely rare as $n$ grows in size. @@ -6229,13 +6218,13 @@ in size. \end{figure} \textbf{Algorithm mp\_prime\_fermat.} This algorithm determines whether an mp\_int $a$ is a Fermat prime to the base $b$ or not. It uses a single modular exponentiation to -determine the result. +determine the result. EXAM,bn_mp_prime_fermat.c \subsection{The Miller-Rabin Test} -The Miller-Rabin (citation) test is another primality test which has tighter error bounds than the Fermat test specifically with sequentially chosen -candidate integers. The algorithm is based on the observation that if $n - 1 = 2^kr$ and if $b^r \nequiv \pm 1$ then after upto $k - 1$ squarings the +The Miller-Rabin (citation) test is another primality test which has tighter error bounds than the Fermat test specifically with sequentially chosen +candidate integers. The algorithm is based on the observation that if $n - 1 = 2^kr$ and if $b^r \nequiv \pm 1$ then after upto $k - 1$ squarings the value must be equal to $-1$. The squarings are stopped as soon as $-1$ is observed. If the value of $1$ is observed first it means that some value not congruent to $\pm 1$ when squared equals one which cannot occur if $n$ is prime. @@ -6271,11 +6260,11 @@ some value not congruent to $\pm 1$ when squared equals one which cannot occur i \end{figure} \textbf{Algorithm mp\_prime\_miller\_rabin.} This algorithm performs one trial round of the Miller-Rabin algorithm to the base $b$. It will set $c = 1$ if the algorithm cannot determine -if $b$ is composite or $c = 0$ if $b$ is provably composite. The values of $s$ and $r$ are computed such that $a' = a - 1 = 2^sr$. +if $b$ is composite or $c = 0$ if $b$ is provably composite. The values of $s$ and $r$ are computed such that $a' = a - 1 = 2^sr$. If the value $y \equiv b^r$ is congruent to $\pm 1$ then the algorithm cannot prove if $a$ is composite or not. Otherwise, the algorithm will square $y$ upto $s - 1$ times stopping only when $y \equiv -1$. If $y^2 \equiv 1$ and $y \nequiv \pm 1$ then the algorithm can report that $a$ -is provably composite. If the algorithm performs $s - 1$ squarings and $y \nequiv -1$ then $a$ is provably composite. If $a$ is not provably +is provably composite. If the algorithm performs $s - 1$ squarings and $y \nequiv -1$ then $a$ is provably composite. If $a$ is not provably composite then it is \textit{probably} prime. EXAM,bn_mp_prime_miller_rabin.c diff --git a/libtommath/tommath.tex b/libtommath/tommath.tex deleted file mode 100644 index c79a537..0000000 --- a/libtommath/tommath.tex +++ /dev/null @@ -1,6691 +0,0 @@ -\documentclass[b5paper]{book} -\usepackage{hyperref} -\usepackage{makeidx} -\usepackage{amssymb} -\usepackage{color} -\usepackage{alltt} -\usepackage{graphicx} -\usepackage{layout} -\def\union{\cup} -\def\intersect{\cap} -\def\getsrandom{\stackrel{\rm R}{\gets}} -\def\cross{\times} -\def\cat{\hspace{0.5em} \| \hspace{0.5em}} -\def\catn{$\|$} -\def\divides{\hspace{0.3em} | \hspace{0.3em}} -\def\nequiv{\not\equiv} -\def\approx{\raisebox{0.2ex}{\mbox{\small $\sim$}}} -\def\lcm{{\rm lcm}} -\def\gcd{{\rm gcd}} -\def\log{{\rm log}} -\def\ord{{\rm ord}} -\def\abs{{\mathit abs}} -\def\rep{{\mathit rep}} -\def\mod{{\mathit\ mod\ }} -\renewcommand{\pmod}[1]{\ ({\rm mod\ }{#1})} -\newcommand{\floor}[1]{\left\lfloor{#1}\right\rfloor} -\newcommand{\ceil}[1]{\left\lceil{#1}\right\rceil} -\def\Or{{\rm\ or\ }} -\def\And{{\rm\ and\ }} -\def\iff{\hspace{1em}\Longleftrightarrow\hspace{1em}} -\def\implies{\Rightarrow} -\def\undefined{{\rm ``undefined"}} -\def\Proof{\vspace{1ex}\noindent {\bf Proof:}\hspace{1em}} -\let\oldphi\phi -\def\phi{\varphi} -\def\Pr{{\rm Pr}} -\newcommand{\str}[1]{{\mathbf{#1}}} -\def\F{{\mathbb F}} -\def\N{{\mathbb N}} -\def\Z{{\mathbb Z}} -\def\R{{\mathbb R}} -\def\C{{\mathbb C}} -\def\Q{{\mathbb Q}} -\definecolor{DGray}{gray}{0.5} -\newcommand{\emailaddr}[1]{\mbox{$<${#1}$>$}} -\def\twiddle{\raisebox{0.3ex}{\mbox{\tiny $\sim$}}} -\def\gap{\vspace{0.5ex}} -\makeindex -\begin{document} -\frontmatter -\pagestyle{empty} -\title{Multi--Precision Math} -\author{\mbox{ -%\begin{small} -\begin{tabular}{c} -Tom St Denis \\ -Algonquin College \\ -\\ -Mads Rasmussen \\ -Open Communications Security \\ -\\ -Greg Rose \\ -QUALCOMM Australia \\ -\end{tabular} -%\end{small} -} -} -\maketitle -This text has been placed in the public domain. This text corresponds to the v0.39 release of the -LibTomMath project. - -\begin{alltt} -Tom St Denis -111 Banning Rd -Ottawa, Ontario -K2L 1C3 -Canada - -Phone: 1-613-836-3160 -Email: tomstdenis@gmail.com -\end{alltt} - -This text is formatted to the international B5 paper size of 176mm wide by 250mm tall using the \LaTeX{} -{\em book} macro package and the Perl {\em booker} package. - -\tableofcontents -\listoffigures -\chapter*{Prefaces} -When I tell people about my LibTom projects and that I release them as public domain they are often puzzled. -They ask why I did it and especially why I continue to work on them for free. The best I can explain it is ``Because I can.'' -Which seems odd and perhaps too terse for adult conversation. I often qualify it with ``I am able, I am willing.'' which -perhaps explains it better. I am the first to admit there is not anything that special with what I have done. Perhaps -others can see that too and then we would have a society to be proud of. My LibTom projects are what I am doing to give -back to society in the form of tools and knowledge that can help others in their endeavours. - -I started writing this book because it was the most logical task to further my goal of open academia. The LibTomMath source -code itself was written to be easy to follow and learn from. There are times, however, where pure C source code does not -explain the algorithms properly. Hence this book. The book literally starts with the foundation of the library and works -itself outwards to the more complicated algorithms. The use of both pseudo--code and verbatim source code provides a duality -of ``theory'' and ``practice'' that the computer science students of the world shall appreciate. I never deviate too far -from relatively straightforward algebra and I hope that this book can be a valuable learning asset. - -This book and indeed much of the LibTom projects would not exist in their current form if it was not for a plethora -of kind people donating their time, resources and kind words to help support my work. Writing a text of significant -length (along with the source code) is a tiresome and lengthy process. Currently the LibTom project is four years old, -comprises of literally thousands of users and over 100,000 lines of source code, TeX and other material. People like Mads and Greg -were there at the beginning to encourage me to work well. It is amazing how timely validation from others can boost morale to -continue the project. Definitely my parents were there for me by providing room and board during the many months of work in 2003. - -To my many friends whom I have met through the years I thank you for the good times and the words of encouragement. I hope I -honour your kind gestures with this project. - -Open Source. Open Academia. Open Minds. - -\begin{flushright} Tom St Denis \end{flushright} - -\newpage -I found the opportunity to work with Tom appealing for several reasons, not only could I broaden my own horizons, but also -contribute to educate others facing the problem of having to handle big number mathematical calculations. - -This book is Tom's child and he has been caring and fostering the project ever since the beginning with a clear mind of -how he wanted the project to turn out. I have helped by proofreading the text and we have had several discussions about -the layout and language used. - -I hold a masters degree in cryptography from the University of Southern Denmark and have always been interested in the -practical aspects of cryptography. - -Having worked in the security consultancy business for several years in S\~{a}o Paulo, Brazil, I have been in touch with a -great deal of work in which multiple precision mathematics was needed. Understanding the possibilities for speeding up -multiple precision calculations is often very important since we deal with outdated machine architecture where modular -reductions, for example, become painfully slow. - -This text is for people who stop and wonder when first examining algorithms such as RSA for the first time and asks -themselves, ``You tell me this is only secure for large numbers, fine; but how do you implement these numbers?'' - -\begin{flushright} -Mads Rasmussen - -S\~{a}o Paulo - SP - -Brazil -\end{flushright} - -\newpage -It's all because I broke my leg. That just happened to be at about the same time that Tom asked for someone to review the section of the book about -Karatsuba multiplication. I was laid up, alone and immobile, and thought ``Why not?'' I vaguely knew what Karatsuba multiplication was, but not -really, so I thought I could help, learn, and stop myself from watching daytime cable TV, all at once. - -At the time of writing this, I've still not met Tom or Mads in meatspace. I've been following Tom's progress since his first splash on the -sci.crypt Usenet news group. I watched him go from a clueless newbie, to the cryptographic equivalent of a reformed smoker, to a real -contributor to the field, over a period of about two years. I've been impressed with his obvious intelligence, and astounded by his productivity. -Of course, he's young enough to be my own child, so he doesn't have my problems with staying awake. - -When I reviewed that single section of the book, in its very earliest form, I was very pleasantly surprised. So I decided to collaborate more fully, -and at least review all of it, and perhaps write some bits too. There's still a long way to go with it, and I have watched a number of close -friends go through the mill of publication, so I think that the way to go is longer than Tom thinks it is. Nevertheless, it's a good effort, -and I'm pleased to be involved with it. - -\begin{flushright} -Greg Rose, Sydney, Australia, June 2003. -\end{flushright} - -\mainmatter -\pagestyle{headings} -\chapter{Introduction} -\section{Multiple Precision Arithmetic} - -\subsection{What is Multiple Precision Arithmetic?} -When we think of long-hand arithmetic such as addition or multiplication we rarely consider the fact that we instinctively -raise or lower the precision of the numbers we are dealing with. For example, in decimal we almost immediate can -reason that $7$ times $6$ is $42$. However, $42$ has two digits of precision as opposed to one digit we started with. -Further multiplications of say $3$ result in a larger precision result $126$. In these few examples we have multiple -precisions for the numbers we are working with. Despite the various levels of precision a single subset\footnote{With the occasional optimization.} - of algorithms can be designed to accomodate them. - -By way of comparison a fixed or single precision operation would lose precision on various operations. For example, in -the decimal system with fixed precision $6 \cdot 7 = 2$. - -Essentially at the heart of computer based multiple precision arithmetic are the same long-hand algorithms taught in -schools to manually add, subtract, multiply and divide. - -\subsection{The Need for Multiple Precision Arithmetic} -The most prevalent need for multiple precision arithmetic, often referred to as ``bignum'' math, is within the implementation -of public-key cryptography algorithms. Algorithms such as RSA \cite{RSAREF} and Diffie-Hellman \cite{DHREF} require -integers of significant magnitude to resist known cryptanalytic attacks. For example, at the time of this writing a -typical RSA modulus would be at least greater than $10^{309}$. However, modern programming languages such as ISO C \cite{ISOC} and -Java \cite{JAVA} only provide instrinsic support for integers which are relatively small and single precision. - -\begin{figure}[!here] -\begin{center} -\begin{tabular}{|r|c|} -\hline \textbf{Data Type} & \textbf{Range} \\ -\hline char & $-128 \ldots 127$ \\ -\hline short & $-32768 \ldots 32767$ \\ -\hline long & $-2147483648 \ldots 2147483647$ \\ -\hline long long & $-9223372036854775808 \ldots 9223372036854775807$ \\ -\hline -\end{tabular} -\end{center} -\caption{Typical Data Types for the C Programming Language} -\label{fig:ISOC} -\end{figure} - -The largest data type guaranteed to be provided by the ISO C programming -language\footnote{As per the ISO C standard. However, each compiler vendor is allowed to augment the precision as they -see fit.} can only represent values up to $10^{19}$ as shown in figure \ref{fig:ISOC}. On its own the C language is -insufficient to accomodate the magnitude required for the problem at hand. An RSA modulus of magnitude $10^{19}$ could be -trivially factored\footnote{A Pollard-Rho factoring would take only $2^{16}$ time.} on the average desktop computer, -rendering any protocol based on the algorithm insecure. Multiple precision algorithms solve this very problem by -extending the range of representable integers while using single precision data types. - -Most advancements in fast multiple precision arithmetic stem from the need for faster and more efficient cryptographic -primitives. Faster modular reduction and exponentiation algorithms such as Barrett's algorithm, which have appeared in -various cryptographic journals, can render algorithms such as RSA and Diffie-Hellman more efficient. In fact, several -major companies such as RSA Security, Certicom and Entrust have built entire product lines on the implementation and -deployment of efficient algorithms. - -However, cryptography is not the only field of study that can benefit from fast multiple precision integer routines. -Another auxiliary use of multiple precision integers is high precision floating point data types. -The basic IEEE \cite{IEEE} standard floating point type is made up of an integer mantissa $q$, an exponent $e$ and a sign bit $s$. -Numbers are given in the form $n = q \cdot b^e \cdot -1^s$ where $b = 2$ is the most common base for IEEE. Since IEEE -floating point is meant to be implemented in hardware the precision of the mantissa is often fairly small -(\textit{23, 48 and 64 bits}). The mantissa is merely an integer and a multiple precision integer could be used to create -a mantissa of much larger precision than hardware alone can efficiently support. This approach could be useful where -scientific applications must minimize the total output error over long calculations. - -Yet another use for large integers is within arithmetic on polynomials of large characteristic (i.e. $GF(p)[x]$ for large $p$). -In fact the library discussed within this text has already been used to form a polynomial basis library\footnote{See \url{http://poly.libtomcrypt.org} for more details.}. - -\subsection{Benefits of Multiple Precision Arithmetic} -\index{precision} -The benefit of multiple precision representations over single or fixed precision representations is that -no precision is lost while representing the result of an operation which requires excess precision. For example, -the product of two $n$-bit integers requires at least $2n$ bits of precision to be represented faithfully. A multiple -precision algorithm would augment the precision of the destination to accomodate the result while a single precision system -would truncate excess bits to maintain a fixed level of precision. - -It is possible to implement algorithms which require large integers with fixed precision algorithms. For example, elliptic -curve cryptography (\textit{ECC}) is often implemented on smartcards by fixing the precision of the integers to the maximum -size the system will ever need. Such an approach can lead to vastly simpler algorithms which can accomodate the -integers required even if the host platform cannot natively accomodate them\footnote{For example, the average smartcard -processor has an 8 bit accumulator.}. However, as efficient as such an approach may be, the resulting source code is not -normally very flexible. It cannot, at runtime, accomodate inputs of higher magnitude than the designer anticipated. - -Multiple precision algorithms have the most overhead of any style of arithmetic. For the the most part the -overhead can be kept to a minimum with careful planning, but overall, it is not well suited for most memory starved -platforms. However, multiple precision algorithms do offer the most flexibility in terms of the magnitude of the -inputs. That is, the same algorithms based on multiple precision integers can accomodate any reasonable size input -without the designer's explicit forethought. This leads to lower cost of ownership for the code as it only has to -be written and tested once. - -\section{Purpose of This Text} -The purpose of this text is to instruct the reader regarding how to implement efficient multiple precision algorithms. -That is to not only explain a limited subset of the core theory behind the algorithms but also the various ``house keeping'' -elements that are neglected by authors of other texts on the subject. Several well reknowned texts \cite{TAOCPV2,HAC} -give considerably detailed explanations of the theoretical aspects of algorithms and often very little information -regarding the practical implementation aspects. - -In most cases how an algorithm is explained and how it is actually implemented are two very different concepts. For -example, the Handbook of Applied Cryptography (\textit{HAC}), algorithm 14.7 on page 594, gives a relatively simple -algorithm for performing multiple precision integer addition. However, the description lacks any discussion concerning -the fact that the two integer inputs may be of differing magnitudes. As a result the implementation is not as simple -as the text would lead people to believe. Similarly the division routine (\textit{algorithm 14.20, pp. 598}) does not -discuss how to handle sign or handle the dividend's decreasing magnitude in the main loop (\textit{step \#3}). - -Both texts also do not discuss several key optimal algorithms required such as ``Comba'' and Karatsuba multipliers -and fast modular inversion, which we consider practical oversights. These optimal algorithms are vital to achieve -any form of useful performance in non-trivial applications. - -To solve this problem the focus of this text is on the practical aspects of implementing a multiple precision integer -package. As a case study the ``LibTomMath''\footnote{Available at \url{http://math.libtomcrypt.com}} package is used -to demonstrate algorithms with real implementations\footnote{In the ISO C programming language.} that have been field -tested and work very well. The LibTomMath library is freely available on the Internet for all uses and this text -discusses a very large portion of the inner workings of the library. - -The algorithms that are presented will always include at least one ``pseudo-code'' description followed -by the actual C source code that implements the algorithm. The pseudo-code can be used to implement the same -algorithm in other programming languages as the reader sees fit. - -This text shall also serve as a walkthrough of the creation of multiple precision algorithms from scratch. Showing -the reader how the algorithms fit together as well as where to start on various taskings. - -\section{Discussion and Notation} -\subsection{Notation} -A multiple precision integer of $n$-digits shall be denoted as $x = (x_{n-1}, \ldots, x_1, x_0)_{ \beta }$ and represent -the integer $x \equiv \sum_{i=0}^{n-1} x_i\beta^i$. The elements of the array $x$ are said to be the radix $\beta$ digits -of the integer. For example, $x = (1,2,3)_{10}$ would represent the integer -$1\cdot 10^2 + 2\cdot10^1 + 3\cdot10^0 = 123$. - -\index{mp\_int} -The term ``mp\_int'' shall refer to a composite structure which contains the digits of the integer it represents, as well -as auxilary data required to manipulate the data. These additional members are discussed further in section -\ref{sec:MPINT}. For the purposes of this text a ``multiple precision integer'' and an ``mp\_int'' are assumed to be -synonymous. When an algorithm is specified to accept an mp\_int variable it is assumed the various auxliary data members -are present as well. An expression of the type \textit{variablename.item} implies that it should evaluate to the -member named ``item'' of the variable. For example, a string of characters may have a member ``length'' which would -evaluate to the number of characters in the string. If the string $a$ equals ``hello'' then it follows that -$a.length = 5$. - -For certain discussions more generic algorithms are presented to help the reader understand the final algorithm used -to solve a given problem. When an algorithm is described as accepting an integer input it is assumed the input is -a plain integer with no additional multiple-precision members. That is, algorithms that use integers as opposed to -mp\_ints as inputs do not concern themselves with the housekeeping operations required such as memory management. These -algorithms will be used to establish the relevant theory which will subsequently be used to describe a multiple -precision algorithm to solve the same problem. - -\subsection{Precision Notation} -The variable $\beta$ represents the radix of a single digit of a multiple precision integer and -must be of the form $q^p$ for $q, p \in \Z^+$. A single precision variable must be able to represent integers in -the range $0 \le x < q \beta$ while a double precision variable must be able to represent integers in the range -$0 \le x < q \beta^2$. The extra radix-$q$ factor allows additions and subtractions to proceed without truncation of the -carry. Since all modern computers are binary, it is assumed that $q$ is two. - -\index{mp\_digit} \index{mp\_word} -Within the source code that will be presented for each algorithm, the data type \textbf{mp\_digit} will represent -a single precision integer type, while, the data type \textbf{mp\_word} will represent a double precision integer type. In -several algorithms (notably the Comba routines) temporary results will be stored in arrays of double precision mp\_words. -For the purposes of this text $x_j$ will refer to the $j$'th digit of a single precision array and $\hat x_j$ will refer to -the $j$'th digit of a double precision array. Whenever an expression is to be assigned to a double precision -variable it is assumed that all single precision variables are promoted to double precision during the evaluation. -Expressions that are assigned to a single precision variable are truncated to fit within the precision of a single -precision data type. - -For example, if $\beta = 10^2$ a single precision data type may represent a value in the -range $0 \le x < 10^3$, while a double precision data type may represent a value in the range $0 \le x < 10^5$. Let -$a = 23$ and $b = 49$ represent two single precision variables. The single precision product shall be written -as $c \leftarrow a \cdot b$ while the double precision product shall be written as $\hat c \leftarrow a \cdot b$. -In this particular case, $\hat c = 1127$ and $c = 127$. The most significant digit of the product would not fit -in a single precision data type and as a result $c \ne \hat c$. - -\subsection{Algorithm Inputs and Outputs} -Within the algorithm descriptions all variables are assumed to be scalars of either single or double precision -as indicated. The only exception to this rule is when variables have been indicated to be of type mp\_int. This -distinction is important as scalars are often used as array indicies and various other counters. - -\subsection{Mathematical Expressions} -The $\lfloor \mbox{ } \rfloor$ brackets imply an expression truncated to an integer not greater than the expression -itself. For example, $\lfloor 5.7 \rfloor = 5$. Similarly the $\lceil \mbox{ } \rceil$ brackets imply an expression -rounded to an integer not less than the expression itself. For example, $\lceil 5.1 \rceil = 6$. Typically when -the $/$ division symbol is used the intention is to perform an integer division with truncation. For example, -$5/2 = 2$ which will often be written as $\lfloor 5/2 \rfloor = 2$ for clarity. When an expression is written as a -fraction a real value division is implied, for example ${5 \over 2} = 2.5$. - -The norm of a multiple precision integer, for example $\vert \vert x \vert \vert$, will be used to represent the number of digits in the representation -of the integer. For example, $\vert \vert 123 \vert \vert = 3$ and $\vert \vert 79452 \vert \vert = 5$. - -\subsection{Work Effort} -\index{big-Oh} -To measure the efficiency of the specified algorithms, a modified big-Oh notation is used. In this system all -single precision operations are considered to have the same cost\footnote{Except where explicitly noted.}. -That is a single precision addition, multiplication and division are assumed to take the same time to -complete. While this is generally not true in practice, it will simplify the discussions considerably. - -Some algorithms have slight advantages over others which is why some constants will not be removed in -the notation. For example, a normal baseline multiplication (section \ref{sec:basemult}) requires $O(n^2)$ work while a -baseline squaring (section \ref{sec:basesquare}) requires $O({{n^2 + n}\over 2})$ work. In standard big-Oh notation these -would both be said to be equivalent to $O(n^2)$. However, -in the context of the this text this is not the case as the magnitude of the inputs will typically be rather small. As a -result small constant factors in the work effort will make an observable difference in algorithm efficiency. - -All of the algorithms presented in this text have a polynomial time work level. That is, of the form -$O(n^k)$ for $n, k \in \Z^{+}$. This will help make useful comparisons in terms of the speed of the algorithms and how -various optimizations will help pay off in the long run. - -\section{Exercises} -Within the more advanced chapters a section will be set aside to give the reader some challenging exercises related to -the discussion at hand. These exercises are not designed to be prize winning problems, but instead to be thought -provoking. Wherever possible the problems are forward minded, stating problems that will be answered in subsequent -chapters. The reader is encouraged to finish the exercises as they appear to get a better understanding of the -subject material. - -That being said, the problems are designed to affirm knowledge of a particular subject matter. Students in particular -are encouraged to verify they can answer the problems correctly before moving on. - -Similar to the exercises of \cite[pp. ix]{TAOCPV2} these exercises are given a scoring system based on the difficulty of -the problem. However, unlike \cite{TAOCPV2} the problems do not get nearly as hard. The scoring of these -exercises ranges from one (the easiest) to five (the hardest). The following table sumarizes the -scoring system used. - -\begin{figure}[here] -\begin{center} -\begin{small} -\begin{tabular}{|c|l|} -\hline $\left [ 1 \right ]$ & An easy problem that should only take the reader a manner of \\ - & minutes to solve. Usually does not involve much computer time \\ - & to solve. \\ -\hline $\left [ 2 \right ]$ & An easy problem that involves a marginal amount of computer \\ - & time usage. Usually requires a program to be written to \\ - & solve the problem. \\ -\hline $\left [ 3 \right ]$ & A moderately hard problem that requires a non-trivial amount \\ - & of work. Usually involves trivial research and development of \\ - & new theory from the perspective of a student. \\ -\hline $\left [ 4 \right ]$ & A moderately hard problem that involves a non-trivial amount \\ - & of work and research, the solution to which will demonstrate \\ - & a higher mastery of the subject matter. \\ -\hline $\left [ 5 \right ]$ & A hard problem that involves concepts that are difficult for a \\ - & novice to solve. Solutions to these problems will demonstrate a \\ - & complete mastery of the given subject. \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Exercise Scoring System} -\end{figure} - -Problems at the first level are meant to be simple questions that the reader can answer quickly without programming a solution or -devising new theory. These problems are quick tests to see if the material is understood. Problems at the second level -are also designed to be easy but will require a program or algorithm to be implemented to arrive at the answer. These -two levels are essentially entry level questions. - -Problems at the third level are meant to be a bit more difficult than the first two levels. The answer is often -fairly obvious but arriving at an exacting solution requires some thought and skill. These problems will almost always -involve devising a new algorithm or implementing a variation of another algorithm previously presented. Readers who can -answer these questions will feel comfortable with the concepts behind the topic at hand. - -Problems at the fourth level are meant to be similar to those of the level three questions except they will require -additional research to be completed. The reader will most likely not know the answer right away, nor will the text provide -the exact details of the answer until a subsequent chapter. - -Problems at the fifth level are meant to be the hardest -problems relative to all the other problems in the chapter. People who can correctly answer fifth level problems have a -mastery of the subject matter at hand. - -Often problems will be tied together. The purpose of this is to start a chain of thought that will be discussed in future chapters. The reader -is encouraged to answer the follow-up problems and try to draw the relevance of problems. - -\section{Introduction to LibTomMath} - -\subsection{What is LibTomMath?} -LibTomMath is a free and open source multiple precision integer library written entirely in portable ISO C. By portable it -is meant that the library does not contain any code that is computer platform dependent or otherwise problematic to use on -any given platform. - -The library has been successfully tested under numerous operating systems including Unix\footnote{All of these -trademarks belong to their respective rightful owners.}, MacOS, Windows, Linux, PalmOS and on standalone hardware such -as the Gameboy Advance. The library is designed to contain enough functionality to be able to develop applications such -as public key cryptosystems and still maintain a relatively small footprint. - -\subsection{Goals of LibTomMath} - -Libraries which obtain the most efficiency are rarely written in a high level programming language such as C. However, -even though this library is written entirely in ISO C, considerable care has been taken to optimize the algorithm implementations within the -library. Specifically the code has been written to work well with the GNU C Compiler (\textit{GCC}) on both x86 and ARM -processors. Wherever possible, highly efficient algorithms, such as Karatsuba multiplication, sliding window -exponentiation and Montgomery reduction have been provided to make the library more efficient. - -Even with the nearly optimal and specialized algorithms that have been included the Application Programing Interface -(\textit{API}) has been kept as simple as possible. Often generic place holder routines will make use of specialized -algorithms automatically without the developer's specific attention. One such example is the generic multiplication -algorithm \textbf{mp\_mul()} which will automatically use Toom--Cook, Karatsuba, Comba or baseline multiplication -based on the magnitude of the inputs and the configuration of the library. - -Making LibTomMath as efficient as possible is not the only goal of the LibTomMath project. Ideally the library should -be source compatible with another popular library which makes it more attractive for developers to use. In this case the -MPI library was used as a API template for all the basic functions. MPI was chosen because it is another library that fits -in the same niche as LibTomMath. Even though LibTomMath uses MPI as the template for the function names and argument -passing conventions, it has been written from scratch by Tom St Denis. - -The project is also meant to act as a learning tool for students, the logic being that no easy-to-follow ``bignum'' -library exists which can be used to teach computer science students how to perform fast and reliable multiple precision -integer arithmetic. To this end the source code has been given quite a few comments and algorithm discussion points. - -\section{Choice of LibTomMath} -LibTomMath was chosen as the case study of this text not only because the author of both projects is one and the same but -for more worthy reasons. Other libraries such as GMP \cite{GMP}, MPI \cite{MPI}, LIP \cite{LIP} and OpenSSL -\cite{OPENSSL} have multiple precision integer arithmetic routines but would not be ideal for this text for -reasons that will be explained in the following sub-sections. - -\subsection{Code Base} -The LibTomMath code base is all portable ISO C source code. This means that there are no platform dependent conditional -segments of code littered throughout the source. This clean and uncluttered approach to the library means that a -developer can more readily discern the true intent of a given section of source code without trying to keep track of -what conditional code will be used. - -The code base of LibTomMath is well organized. Each function is in its own separate source code file -which allows the reader to find a given function very quickly. On average there are $76$ lines of code per source -file which makes the source very easily to follow. By comparison MPI and LIP are single file projects making code tracing -very hard. GMP has many conditional code segments which also hinder tracing. - -When compiled with GCC for the x86 processor and optimized for speed the entire library is approximately $100$KiB\footnote{The notation ``KiB'' means $2^{10}$ octets, similarly ``MiB'' means $2^{20}$ octets.} - which is fairly small compared to GMP (over $250$KiB). LibTomMath is slightly larger than MPI (which compiles to about -$50$KiB) but LibTomMath is also much faster and more complete than MPI. - -\subsection{API Simplicity} -LibTomMath is designed after the MPI library and shares the API design. Quite often programs that use MPI will build -with LibTomMath without change. The function names correlate directly to the action they perform. Almost all of the -functions share the same parameter passing convention. The learning curve is fairly shallow with the API provided -which is an extremely valuable benefit for the student and developer alike. - -The LIP library is an example of a library with an API that is awkward to work with. LIP uses function names that are often ``compressed'' to -illegible short hand. LibTomMath does not share this characteristic. - -The GMP library also does not return error codes. Instead it uses a POSIX.1 \cite{POSIX1} signal system where errors -are signaled to the host application. This happens to be the fastest approach but definitely not the most versatile. In -effect a math error (i.e. invalid input, heap error, etc) can cause a program to stop functioning which is definitely -undersireable in many situations. - -\subsection{Optimizations} -While LibTomMath is certainly not the fastest library (GMP often beats LibTomMath by a factor of two) it does -feature a set of optimal algorithms for tasks such as modular reduction, exponentiation, multiplication and squaring. GMP -and LIP also feature such optimizations while MPI only uses baseline algorithms with no optimizations. GMP lacks a few -of the additional modular reduction optimizations that LibTomMath features\footnote{At the time of this writing GMP -only had Barrett and Montgomery modular reduction algorithms.}. - -LibTomMath is almost always an order of magnitude faster than the MPI library at computationally expensive tasks such as modular -exponentiation. In the grand scheme of ``bignum'' libraries LibTomMath is faster than the average library and usually -slower than the best libraries such as GMP and OpenSSL by only a small factor. - -\subsection{Portability and Stability} -LibTomMath will build ``out of the box'' on any platform equipped with a modern version of the GNU C Compiler -(\textit{GCC}). This means that without changes the library will build without configuration or setting up any -variables. LIP and MPI will build ``out of the box'' as well but have numerous known bugs. Most notably the author of -MPI has recently stopped working on his library and LIP has long since been discontinued. - -GMP requires a configuration script to run and will not build out of the box. GMP and LibTomMath are still in active -development and are very stable across a variety of platforms. - -\subsection{Choice} -LibTomMath is a relatively compact, well documented, highly optimized and portable library which seems only natural for -the case study of this text. Various source files from the LibTomMath project will be included within the text. However, -the reader is encouraged to download their own copy of the library to actually be able to work with the library. - -\chapter{Getting Started} -\section{Library Basics} -The trick to writing any useful library of source code is to build a solid foundation and work outwards from it. First, -a problem along with allowable solution parameters should be identified and analyzed. In this particular case the -inability to accomodate multiple precision integers is the problem. Futhermore, the solution must be written -as portable source code that is reasonably efficient across several different computer platforms. - -After a foundation is formed the remainder of the library can be designed and implemented in a hierarchical fashion. -That is, to implement the lowest level dependencies first and work towards the most abstract functions last. For example, -before implementing a modular exponentiation algorithm one would implement a modular reduction algorithm. -By building outwards from a base foundation instead of using a parallel design methodology the resulting project is -highly modular. Being highly modular is a desirable property of any project as it often means the resulting product -has a small footprint and updates are easy to perform. - -Usually when I start a project I will begin with the header files. I define the data types I think I will need and -prototype the initial functions that are not dependent on other functions (within the library). After I -implement these base functions I prototype more dependent functions and implement them. The process repeats until -I implement all of the functions I require. For example, in the case of LibTomMath I implemented functions such as -mp\_init() well before I implemented mp\_mul() and even further before I implemented mp\_exptmod(). As an example as to -why this design works note that the Karatsuba and Toom-Cook multipliers were written \textit{after} the -dependent function mp\_exptmod() was written. Adding the new multiplication algorithms did not require changes to the -mp\_exptmod() function itself and lowered the total cost of ownership (\textit{so to speak}) and of development -for new algorithms. This methodology allows new algorithms to be tested in a complete framework with relative ease. - -\begin{center} -\begin{figure}[here] -\includegraphics{pics/design_process.ps} -\caption{Design Flow of the First Few Original LibTomMath Functions.} -\label{pic:design_process} -\end{figure} -\end{center} - -Only after the majority of the functions were in place did I pursue a less hierarchical approach to auditing and optimizing -the source code. For example, one day I may audit the multipliers and the next day the polynomial basis functions. - -It only makes sense to begin the text with the preliminary data types and support algorithms required as well. -This chapter discusses the core algorithms of the library which are the dependents for every other algorithm. - -\section{What is a Multiple Precision Integer?} -Recall that most programming languages, in particular ISO C \cite{ISOC}, only have fixed precision data types that on their own cannot -be used to represent values larger than their precision will allow. The purpose of multiple precision algorithms is -to use fixed precision data types to create and manipulate multiple precision integers which may represent values -that are very large. - -As a well known analogy, school children are taught how to form numbers larger than nine by prepending more radix ten digits. In the decimal system -the largest single digit value is $9$. However, by concatenating digits together larger numbers may be represented. Newly prepended digits -(\textit{to the left}) are said to be in a different power of ten column. That is, the number $123$ can be described as having a $1$ in the hundreds -column, $2$ in the tens column and $3$ in the ones column. Or more formally $123 = 1 \cdot 10^2 + 2 \cdot 10^1 + 3 \cdot 10^0$. Computer based -multiple precision arithmetic is essentially the same concept. Larger integers are represented by adjoining fixed -precision computer words with the exception that a different radix is used. - -What most people probably do not think about explicitly are the various other attributes that describe a multiple precision -integer. For example, the integer $154_{10}$ has two immediately obvious properties. First, the integer is positive, -that is the sign of this particular integer is positive as opposed to negative. Second, the integer has three digits in -its representation. There is an additional property that the integer posesses that does not concern pencil-and-paper -arithmetic. The third property is how many digits placeholders are available to hold the integer. - -The human analogy of this third property is ensuring there is enough space on the paper to write the integer. For example, -if one starts writing a large number too far to the right on a piece of paper they will have to erase it and move left. -Similarly, computer algorithms must maintain strict control over memory usage to ensure that the digits of an integer -will not exceed the allowed boundaries. These three properties make up what is known as a multiple precision -integer or mp\_int for short. - -\subsection{The mp\_int Structure} -\label{sec:MPINT} -The mp\_int structure is the ISO C based manifestation of what represents a multiple precision integer. The ISO C standard does not provide for -any such data type but it does provide for making composite data types known as structures. The following is the structure definition -used within LibTomMath. - -\index{mp\_int} -\begin{figure}[here] -\begin{center} -\begin{small} -%\begin{verbatim} -\begin{tabular}{|l|} -\hline -typedef struct \{ \\ -\hspace{3mm}int used, alloc, sign;\\ -\hspace{3mm}mp\_digit *dp;\\ -\} \textbf{mp\_int}; \\ -\hline -\end{tabular} -%\end{verbatim} -\end{small} -\caption{The mp\_int Structure} -\label{fig:mpint} -\end{center} -\end{figure} - -The mp\_int structure (fig. \ref{fig:mpint}) can be broken down as follows. - -\begin{enumerate} -\item The \textbf{used} parameter denotes how many digits of the array \textbf{dp} contain the digits used to represent -a given integer. The \textbf{used} count must be positive (or zero) and may not exceed the \textbf{alloc} count. - -\item The \textbf{alloc} parameter denotes how -many digits are available in the array to use by functions before it has to increase in size. When the \textbf{used} count -of a result would exceed the \textbf{alloc} count all of the algorithms will automatically increase the size of the -array to accommodate the precision of the result. - -\item The pointer \textbf{dp} points to a dynamically allocated array of digits that represent the given multiple -precision integer. It is padded with $(\textbf{alloc} - \textbf{used})$ zero digits. The array is maintained in a least -significant digit order. As a pencil and paper analogy the array is organized such that the right most digits are stored -first starting at the location indexed by zero\footnote{In C all arrays begin at zero.} in the array. For example, -if \textbf{dp} contains $\lbrace a, b, c, \ldots \rbrace$ where \textbf{dp}$_0 = a$, \textbf{dp}$_1 = b$, \textbf{dp}$_2 = c$, $\ldots$ then -it would represent the integer $a + b\beta + c\beta^2 + \ldots$ - -\index{MP\_ZPOS} \index{MP\_NEG} -\item The \textbf{sign} parameter denotes the sign as either zero/positive (\textbf{MP\_ZPOS}) or negative (\textbf{MP\_NEG}). -\end{enumerate} - -\subsubsection{Valid mp\_int Structures} -Several rules are placed on the state of an mp\_int structure and are assumed to be followed for reasons of efficiency. -The only exceptions are when the structure is passed to initialization functions such as mp\_init() and mp\_init\_copy(). - -\begin{enumerate} -\item The value of \textbf{alloc} may not be less than one. That is \textbf{dp} always points to a previously allocated -array of digits. -\item The value of \textbf{used} may not exceed \textbf{alloc} and must be greater than or equal to zero. -\item The value of \textbf{used} implies the digit at index $(used - 1)$ of the \textbf{dp} array is non-zero. That is, -leading zero digits in the most significant positions must be trimmed. - \begin{enumerate} - \item Digits in the \textbf{dp} array at and above the \textbf{used} location must be zero. - \end{enumerate} -\item The value of \textbf{sign} must be \textbf{MP\_ZPOS} if \textbf{used} is zero; -this represents the mp\_int value of zero. -\end{enumerate} - -\section{Argument Passing} -A convention of argument passing must be adopted early on in the development of any library. Making the function -prototypes consistent will help eliminate many headaches in the future as the library grows to significant complexity. -In LibTomMath the multiple precision integer functions accept parameters from left to right as pointers to mp\_int -structures. That means that the source (input) operands are placed on the left and the destination (output) on the right. -Consider the following examples. - -\begin{verbatim} - mp_mul(&a, &b, &c); /* c = a * b */ - mp_add(&a, &b, &a); /* a = a + b */ - mp_sqr(&a, &b); /* b = a * a */ -\end{verbatim} - -The left to right order is a fairly natural way to implement the functions since it lets the developer read aloud the -functions and make sense of them. For example, the first function would read ``multiply a and b and store in c''. - -Certain libraries (\textit{LIP by Lenstra for instance}) accept parameters the other way around, to mimic the order -of assignment expressions. That is, the destination (output) is on the left and arguments (inputs) are on the right. In -truth, it is entirely a matter of preference. In the case of LibTomMath the convention from the MPI library has been -adopted. - -Another very useful design consideration, provided for in LibTomMath, is whether to allow argument sources to also be a -destination. For example, the second example (\textit{mp\_add}) adds $a$ to $b$ and stores in $a$. This is an important -feature to implement since it allows the calling functions to cut down on the number of variables it must maintain. -However, to implement this feature specific care has to be given to ensure the destination is not modified before the -source is fully read. - -\section{Return Values} -A well implemented application, no matter what its purpose, should trap as many runtime errors as possible and return them -to the caller. By catching runtime errors a library can be guaranteed to prevent undefined behaviour. However, the end -developer can still manage to cause a library to crash. For example, by passing an invalid pointer an application may -fault by dereferencing memory not owned by the application. - -In the case of LibTomMath the only errors that are checked for are related to inappropriate inputs (division by zero for -instance) and memory allocation errors. It will not check that the mp\_int passed to any function is valid nor -will it check pointers for validity. Any function that can cause a runtime error will return an error code as an -\textbf{int} data type with one of the following values (fig \ref{fig:errcodes}). - -\index{MP\_OKAY} \index{MP\_VAL} \index{MP\_MEM} -\begin{figure}[here] -\begin{center} -\begin{tabular}{|l|l|} -\hline \textbf{Value} & \textbf{Meaning} \\ -\hline \textbf{MP\_OKAY} & The function was successful \\ -\hline \textbf{MP\_VAL} & One of the input value(s) was invalid \\ -\hline \textbf{MP\_MEM} & The function ran out of heap memory \\ -\hline -\end{tabular} -\end{center} -\caption{LibTomMath Error Codes} -\label{fig:errcodes} -\end{figure} - -When an error is detected within a function it should free any memory it allocated, often during the initialization of -temporary mp\_ints, and return as soon as possible. The goal is to leave the system in the same state it was when the -function was called. Error checking with this style of API is fairly simple. - -\begin{verbatim} - int err; - if ((err = mp_add(&a, &b, &c)) != MP_OKAY) { - printf("Error: %s\n", mp_error_to_string(err)); - exit(EXIT_FAILURE); - } -\end{verbatim} - -The GMP \cite{GMP} library uses C style \textit{signals} to flag errors which is of questionable use. Not all errors are fatal -and it was not deemed ideal by the author of LibTomMath to force developers to have signal handlers for such cases. - -\section{Initialization and Clearing} -The logical starting point when actually writing multiple precision integer functions is the initialization and -clearing of the mp\_int structures. These two algorithms will be used by the majority of the higher level algorithms. - -Given the basic mp\_int structure an initialization routine must first allocate memory to hold the digits of -the integer. Often it is optimal to allocate a sufficiently large pre-set number of digits even though -the initial integer will represent zero. If only a single digit were allocated quite a few subsequent re-allocations -would occur when operations are performed on the integers. There is a tradeoff between how many default digits to allocate -and how many re-allocations are tolerable. Obviously allocating an excessive amount of digits initially will waste -memory and become unmanageable. - -If the memory for the digits has been successfully allocated then the rest of the members of the structure must -be initialized. Since the initial state of an mp\_int is to represent the zero integer, the allocated digits must be set -to zero. The \textbf{used} count set to zero and \textbf{sign} set to \textbf{MP\_ZPOS}. - -\subsection{Initializing an mp\_int} -An mp\_int is said to be initialized if it is set to a valid, preferably default, state such that all of the members of the -structure are set to valid values. The mp\_init algorithm will perform such an action. - -\index{mp\_init} -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_init}. \\ -\textbf{Input}. An mp\_int $a$ \\ -\textbf{Output}. Allocate memory and initialize $a$ to a known valid mp\_int state. \\ -\hline \\ -1. Allocate memory for \textbf{MP\_PREC} digits. \\ -2. If the allocation failed return(\textit{MP\_MEM}) \\ -3. for $n$ from $0$ to $MP\_PREC - 1$ do \\ -\hspace{3mm}3.1 $a_n \leftarrow 0$\\ -4. $a.sign \leftarrow MP\_ZPOS$\\ -5. $a.used \leftarrow 0$\\ -6. $a.alloc \leftarrow MP\_PREC$\\ -7. Return(\textit{MP\_OKAY})\\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_init} -\end{figure} - -\textbf{Algorithm mp\_init.} -The purpose of this function is to initialize an mp\_int structure so that the rest of the library can properly -manipulte it. It is assumed that the input may not have had any of its members previously initialized which is certainly -a valid assumption if the input resides on the stack. - -Before any of the members such as \textbf{sign}, \textbf{used} or \textbf{alloc} are initialized the memory for -the digits is allocated. If this fails the function returns before setting any of the other members. The \textbf{MP\_PREC} -name represents a constant\footnote{Defined in the ``tommath.h'' header file within LibTomMath.} -used to dictate the minimum precision of newly initialized mp\_int integers. Ideally, it is at least equal to the smallest -precision number you'll be working with. - -Allocating a block of digits at first instead of a single digit has the benefit of lowering the number of usually slow -heap operations later functions will have to perform in the future. If \textbf{MP\_PREC} is set correctly the slack -memory and the number of heap operations will be trivial. - -Once the allocation has been made the digits have to be set to zero as well as the \textbf{used}, \textbf{sign} and -\textbf{alloc} members initialized. This ensures that the mp\_int will always represent the default state of zero regardless -of the original condition of the input. - -\textbf{Remark.} -This function introduces the idiosyncrasy that all iterative loops, commonly initiated with the ``for'' keyword, iterate incrementally -when the ``to'' keyword is placed between two expressions. For example, ``for $a$ from $b$ to $c$ do'' means that -a subsequent expression (or body of expressions) are to be evaluated upto $c - b$ times so long as $b \le c$. In each -iteration the variable $a$ is substituted for a new integer that lies inclusively between $b$ and $c$. If $b > c$ occured -the loop would not iterate. By contrast if the ``downto'' keyword were used in place of ``to'' the loop would iterate -decrementally. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_init.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -One immediate observation of this initializtion function is that it does not return a pointer to a mp\_int structure. It -is assumed that the caller has already allocated memory for the mp\_int structure, typically on the application stack. The -call to mp\_init() is used only to initialize the members of the structure to a known default state. - -Here we see (line 24) the memory allocation is performed first. This allows us to exit cleanly and quickly -if there is an error. If the allocation fails the routine will return \textbf{MP\_MEM} to the caller to indicate there -was a memory error. The function XMALLOC is what actually allocates the memory. Technically XMALLOC is not a function -but a macro defined in ``tommath.h``. By default, XMALLOC will evaluate to malloc() which is the C library's built--in -memory allocation routine. - -In order to assure the mp\_int is in a known state the digits must be set to zero. On most platforms this could have been -accomplished by using calloc() instead of malloc(). However, to correctly initialize a integer type to a given value in a -portable fashion you have to actually assign the value. The for loop (line 30) performs this required -operation. - -After the memory has been successfully initialized the remainder of the members are initialized -(lines 34 through 35) to their respective default states. At this point the algorithm has succeeded and -a success code is returned to the calling function. If this function returns \textbf{MP\_OKAY} it is safe to assume the -mp\_int structure has been properly initialized and is safe to use with other functions within the library. - -\subsection{Clearing an mp\_int} -When an mp\_int is no longer required by the application, the memory that has been allocated for its digits must be -returned to the application's memory pool with the mp\_clear algorithm. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_clear}. \\ -\textbf{Input}. An mp\_int $a$ \\ -\textbf{Output}. The memory for $a$ shall be deallocated. \\ -\hline \\ -1. If $a$ has been previously freed then return(\textit{MP\_OKAY}). \\ -2. for $n$ from 0 to $a.used - 1$ do \\ -\hspace{3mm}2.1 $a_n \leftarrow 0$ \\ -3. Free the memory allocated for the digits of $a$. \\ -4. $a.used \leftarrow 0$ \\ -5. $a.alloc \leftarrow 0$ \\ -6. $a.sign \leftarrow MP\_ZPOS$ \\ -7. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_clear} -\end{figure} - -\textbf{Algorithm mp\_clear.} -This algorithm accomplishes two goals. First, it clears the digits and the other mp\_int members. This ensures that -if a developer accidentally re-uses a cleared structure it is less likely to cause problems. The second goal -is to free the allocated memory. - -The logic behind the algorithm is extended by marking cleared mp\_int structures so that subsequent calls to this -algorithm will not try to free the memory multiple times. Cleared mp\_ints are detectable by having a pre-defined invalid -digit pointer \textbf{dp} setting. - -Once an mp\_int has been cleared the mp\_int structure is no longer in a valid state for any other algorithm -with the exception of algorithms mp\_init, mp\_init\_copy, mp\_init\_size and mp\_clear. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_clear.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The algorithm only operates on the mp\_int if it hasn't been previously cleared. The if statement (line 25) -checks to see if the \textbf{dp} member is not \textbf{NULL}. If the mp\_int is a valid mp\_int then \textbf{dp} cannot be -\textbf{NULL} in which case the if statement will evaluate to true. - -The digits of the mp\_int are cleared by the for loop (line 27) which assigns a zero to every digit. Similar to mp\_init() -the digits are assigned zero instead of using block memory operations (such as memset()) since this is more portable. - -The digits are deallocated off the heap via the XFREE macro. Similar to XMALLOC the XFREE macro actually evaluates to -a standard C library function. In this case the free() function. Since free() only deallocates the memory the pointer -still has to be reset to \textbf{NULL} manually (line 35). - -Now that the digits have been cleared and deallocated the other members are set to their final values (lines 36 and 37). - -\section{Maintenance Algorithms} - -The previous sections describes how to initialize and clear an mp\_int structure. To further support operations -that are to be performed on mp\_int structures (such as addition and multiplication) the dependent algorithms must be -able to augment the precision of an mp\_int and -initialize mp\_ints with differing initial conditions. - -These algorithms complete the set of low level algorithms required to work with mp\_int structures in the higher level -algorithms such as addition, multiplication and modular exponentiation. - -\subsection{Augmenting an mp\_int's Precision} -When storing a value in an mp\_int structure, a sufficient number of digits must be available to accomodate the entire -result of an operation without loss of precision. Quite often the size of the array given by the \textbf{alloc} member -is large enough to simply increase the \textbf{used} digit count. However, when the size of the array is too small it -must be re-sized appropriately to accomodate the result. The mp\_grow algorithm will provide this functionality. - -\newpage\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_grow}. \\ -\textbf{Input}. An mp\_int $a$ and an integer $b$. \\ -\textbf{Output}. $a$ is expanded to accomodate $b$ digits. \\ -\hline \\ -1. if $a.alloc \ge b$ then return(\textit{MP\_OKAY}) \\ -2. $u \leftarrow b\mbox{ (mod }MP\_PREC\mbox{)}$ \\ -3. $v \leftarrow b + 2 \cdot MP\_PREC - u$ \\ -4. Re-allocate the array of digits $a$ to size $v$ \\ -5. If the allocation failed then return(\textit{MP\_MEM}). \\ -6. for n from a.alloc to $v - 1$ do \\ -\hspace{+3mm}6.1 $a_n \leftarrow 0$ \\ -7. $a.alloc \leftarrow v$ \\ -8. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_grow} -\end{figure} - -\textbf{Algorithm mp\_grow.} -It is ideal to prevent re-allocations from being performed if they are not required (step one). This is useful to -prevent mp\_ints from growing excessively in code that erroneously calls mp\_grow. - -The requested digit count is padded up to next multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} (steps two and three). -This helps prevent many trivial reallocations that would grow an mp\_int by trivially small values. - -It is assumed that the reallocation (step four) leaves the lower $a.alloc$ digits of the mp\_int intact. This is much -akin to how the \textit{realloc} function from the standard C library works. Since the newly allocated digits are -assumed to contain undefined values they are initially set to zero. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_grow.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -A quick optimization is to first determine if a memory re-allocation is required at all. The if statement (line 24) checks -if the \textbf{alloc} member of the mp\_int is smaller than the requested digit count. If the count is not larger than \textbf{alloc} -the function skips the re-allocation part thus saving time. - -When a re-allocation is performed it is turned into an optimal request to save time in the future. The requested digit count is -padded upwards to 2nd multiple of \textbf{MP\_PREC} larger than \textbf{alloc} (line 25). The XREALLOC function is used -to re-allocate the memory. As per the other functions XREALLOC is actually a macro which evaluates to realloc by default. The realloc -function leaves the base of the allocation intact which means the first \textbf{alloc} digits of the mp\_int are the same as before -the re-allocation. All that is left is to clear the newly allocated digits and return. - -Note that the re-allocation result is actually stored in a temporary pointer $tmp$. This is to allow this function to return -an error with a valid pointer. Earlier releases of the library stored the result of XREALLOC into the mp\_int $a$. That would -result in a memory leak if XREALLOC ever failed. - -\subsection{Initializing Variable Precision mp\_ints} -Occasionally the number of digits required will be known in advance of an initialization, based on, for example, the size -of input mp\_ints to a given algorithm. The purpose of algorithm mp\_init\_size is similar to mp\_init except that it -will allocate \textit{at least} a specified number of digits. - -\begin{figure}[here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_init\_size}. \\ -\textbf{Input}. An mp\_int $a$ and the requested number of digits $b$. \\ -\textbf{Output}. $a$ is initialized to hold at least $b$ digits. \\ -\hline \\ -1. $u \leftarrow b \mbox{ (mod }MP\_PREC\mbox{)}$ \\ -2. $v \leftarrow b + 2 \cdot MP\_PREC - u$ \\ -3. Allocate $v$ digits. \\ -4. for $n$ from $0$ to $v - 1$ do \\ -\hspace{3mm}4.1 $a_n \leftarrow 0$ \\ -5. $a.sign \leftarrow MP\_ZPOS$\\ -6. $a.used \leftarrow 0$\\ -7. $a.alloc \leftarrow v$\\ -8. Return(\textit{MP\_OKAY})\\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_init\_size} -\end{figure} - -\textbf{Algorithm mp\_init\_size.} -This algorithm will initialize an mp\_int structure $a$ like algorithm mp\_init with the exception that the number of -digits allocated can be controlled by the second input argument $b$. The input size is padded upwards so it is a -multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} digits. This padding is used to prevent trivial -allocations from becoming a bottleneck in the rest of the algorithms. - -Like algorithm mp\_init, the mp\_int structure is initialized to a default state representing the integer zero. This -particular algorithm is useful if it is known ahead of time the approximate size of the input. If the approximation is -correct no further memory re-allocations are required to work with the mp\_int. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_init\_size.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The number of digits $b$ requested is padded (line 24) by first augmenting it to the next multiple of -\textbf{MP\_PREC} and then adding \textbf{MP\_PREC} to the result. If the memory can be successfully allocated the -mp\_int is placed in a default state representing the integer zero. Otherwise, the error code \textbf{MP\_MEM} will be -returned (line 29). - -The digits are allocated and set to zero at the same time with the calloc() function (line @25,XCALLOC@). The -\textbf{used} count is set to zero, the \textbf{alloc} count set to the padded digit count and the \textbf{sign} flag set -to \textbf{MP\_ZPOS} to achieve a default valid mp\_int state (lines 33, 34 and 35). If the function -returns succesfully then it is correct to assume that the mp\_int structure is in a valid state for the remainder of the -functions to work with. - -\subsection{Multiple Integer Initializations and Clearings} -Occasionally a function will require a series of mp\_int data types to be made available simultaneously. -The purpose of algorithm mp\_init\_multi is to initialize a variable length array of mp\_int structures in a single -statement. It is essentially a shortcut to multiple initializations. - -\newpage\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_init\_multi}. \\ -\textbf{Input}. Variable length array $V_k$ of mp\_int variables of length $k$. \\ -\textbf{Output}. The array is initialized such that each mp\_int of $V_k$ is ready to use. \\ -\hline \\ -1. for $n$ from 0 to $k - 1$ do \\ -\hspace{+3mm}1.1. Initialize the mp\_int $V_n$ (\textit{mp\_init}) \\ -\hspace{+3mm}1.2. If initialization failed then do \\ -\hspace{+6mm}1.2.1. for $j$ from $0$ to $n$ do \\ -\hspace{+9mm}1.2.1.1. Free the mp\_int $V_j$ (\textit{mp\_clear}) \\ -\hspace{+6mm}1.2.2. Return(\textit{MP\_MEM}) \\ -2. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_init\_multi} -\end{figure} - -\textbf{Algorithm mp\_init\_multi.} -The algorithm will initialize the array of mp\_int variables one at a time. If a runtime error has been detected -(\textit{step 1.2}) all of the previously initialized variables are cleared. The goal is an ``all or nothing'' -initialization which allows for quick recovery from runtime errors. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_init\_multi.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This function intializes a variable length list of mp\_int structure pointers. However, instead of having the mp\_int -structures in an actual C array they are simply passed as arguments to the function. This function makes use of the -``...'' argument syntax of the C programming language. The list is terminated with a final \textbf{NULL} argument -appended on the right. - -The function uses the ``stdarg.h'' \textit{va} functions to step portably through the arguments to the function. A count -$n$ of succesfully initialized mp\_int structures is maintained (line 48) such that if a failure does occur, -the algorithm can backtrack and free the previously initialized structures (lines 28 to 47). - - -\subsection{Clamping Excess Digits} -When a function anticipates a result will be $n$ digits it is simpler to assume this is true within the body of -the function instead of checking during the computation. For example, a multiplication of a $i$ digit number by a -$j$ digit produces a result of at most $i + j$ digits. It is entirely possible that the result is $i + j - 1$ -though, with no final carry into the last position. However, suppose the destination had to be first expanded -(\textit{via mp\_grow}) to accomodate $i + j - 1$ digits than further expanded to accomodate the final carry. -That would be a considerable waste of time since heap operations are relatively slow. - -The ideal solution is to always assume the result is $i + j$ and fix up the \textbf{used} count after the function -terminates. This way a single heap operation (\textit{at most}) is required. However, if the result was not checked -there would be an excess high order zero digit. - -For example, suppose the product of two integers was $x_n = (0x_{n-1}x_{n-2}...x_0)_{\beta}$. The leading zero digit -will not contribute to the precision of the result. In fact, through subsequent operations more leading zero digits would -accumulate to the point the size of the integer would be prohibitive. As a result even though the precision is very -low the representation is excessively large. - -The mp\_clamp algorithm is designed to solve this very problem. It will trim high-order zeros by decrementing the -\textbf{used} count until a non-zero most significant digit is found. Also in this system, zero is considered to be a -positive number which means that if the \textbf{used} count is decremented to zero, the sign must be set to -\textbf{MP\_ZPOS}. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_clamp}. \\ -\textbf{Input}. An mp\_int $a$ \\ -\textbf{Output}. Any excess leading zero digits of $a$ are removed \\ -\hline \\ -1. while $a.used > 0$ and $a_{a.used - 1} = 0$ do \\ -\hspace{+3mm}1.1 $a.used \leftarrow a.used - 1$ \\ -2. if $a.used = 0$ then do \\ -\hspace{+3mm}2.1 $a.sign \leftarrow MP\_ZPOS$ \\ -\hline \\ -\end{tabular} -\end{center} -\caption{Algorithm mp\_clamp} -\end{figure} - -\textbf{Algorithm mp\_clamp.} -As can be expected this algorithm is very simple. The loop on step one is expected to iterate only once or twice at -the most. For example, this will happen in cases where there is not a carry to fill the last position. Step two fixes the sign for -when all of the digits are zero to ensure that the mp\_int is valid at all times. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_clamp.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Note on line 28 how to test for the \textbf{used} count is made on the left of the \&\& operator. In the C programming -language the terms to \&\& are evaluated left to right with a boolean short-circuit if any condition fails. This is -important since if the \textbf{used} is zero the test on the right would fetch below the array. That is obviously -undesirable. The parenthesis on line 31 is used to make sure the \textbf{used} count is decremented and not -the pointer ``a''. - -\section*{Exercises} -\begin{tabular}{cl} -$\left [ 1 \right ]$ & Discuss the relevance of the \textbf{used} member of the mp\_int structure. \\ - & \\ -$\left [ 1 \right ]$ & Discuss the consequences of not using padding when performing allocations. \\ - & \\ -$\left [ 2 \right ]$ & Estimate an ideal value for \textbf{MP\_PREC} when performing 1024-bit RSA \\ - & encryption when $\beta = 2^{28}$. \\ - & \\ -$\left [ 1 \right ]$ & Discuss the relevance of the algorithm mp\_clamp. What does it prevent? \\ - & \\ -$\left [ 1 \right ]$ & Give an example of when the algorithm mp\_init\_copy might be useful. \\ - & \\ -\end{tabular} - - -%%% -% CHAPTER FOUR -%%% - -\chapter{Basic Operations} - -\section{Introduction} -In the previous chapter a series of low level algorithms were established that dealt with initializing and maintaining -mp\_int structures. This chapter will discuss another set of seemingly non-algebraic algorithms which will form the low -level basis of the entire library. While these algorithm are relatively trivial it is important to understand how they -work before proceeding since these algorithms will be used almost intrinsically in the following chapters. - -The algorithms in this chapter deal primarily with more ``programmer'' related tasks such as creating copies of -mp\_int structures, assigning small values to mp\_int structures and comparisons of the values mp\_int structures -represent. - -\section{Assigning Values to mp\_int Structures} -\subsection{Copying an mp\_int} -Assigning the value that a given mp\_int structure represents to another mp\_int structure shall be known as making -a copy for the purposes of this text. The copy of the mp\_int will be a separate entity that represents the same -value as the mp\_int it was copied from. The mp\_copy algorithm provides this functionality. - -\newpage\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_copy}. \\ -\textbf{Input}. An mp\_int $a$ and $b$. \\ -\textbf{Output}. Store a copy of $a$ in $b$. \\ -\hline \\ -1. If $b.alloc < a.used$ then grow $b$ to $a.used$ digits. (\textit{mp\_grow}) \\ -2. for $n$ from 0 to $a.used - 1$ do \\ -\hspace{3mm}2.1 $b_{n} \leftarrow a_{n}$ \\ -3. for $n$ from $a.used$ to $b.used - 1$ do \\ -\hspace{3mm}3.1 $b_{n} \leftarrow 0$ \\ -4. $b.used \leftarrow a.used$ \\ -5. $b.sign \leftarrow a.sign$ \\ -6. return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_copy} -\end{figure} - -\textbf{Algorithm mp\_copy.} -This algorithm copies the mp\_int $a$ such that upon succesful termination of the algorithm the mp\_int $b$ will -represent the same integer as the mp\_int $a$. The mp\_int $b$ shall be a complete and distinct copy of the -mp\_int $a$ meaing that the mp\_int $a$ can be modified and it shall not affect the value of the mp\_int $b$. - -If $b$ does not have enough room for the digits of $a$ it must first have its precision augmented via the mp\_grow -algorithm. The digits of $a$ are copied over the digits of $b$ and any excess digits of $b$ are set to zero (step two -and three). The \textbf{used} and \textbf{sign} members of $a$ are finally copied over the respective members of -$b$. - -\textbf{Remark.} This algorithm also introduces a new idiosyncrasy that will be used throughout the rest of the -text. The error return codes of other algorithms are not explicitly checked in the pseudo-code presented. For example, in -step one of the mp\_copy algorithm the return of mp\_grow is not explicitly checked to ensure it succeeded. Text space is -limited so it is assumed that if a algorithm fails it will clear all temporarily allocated mp\_ints and return -the error code itself. However, the C code presented will demonstrate all of the error handling logic required to -implement the pseudo-code. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_copy.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Occasionally a dependent algorithm may copy an mp\_int effectively into itself such as when the input and output -mp\_int structures passed to a function are one and the same. For this case it is optimal to return immediately without -copying digits (line 25). - -The mp\_int $b$ must have enough digits to accomodate the used digits of the mp\_int $a$. If $b.alloc$ is less than -$a.used$ the algorithm mp\_grow is used to augment the precision of $b$ (lines 30 to 33). In order to -simplify the inner loop that copies the digits from $a$ to $b$, two aliases $tmpa$ and $tmpb$ point directly at the digits -of the mp\_ints $a$ and $b$ respectively. These aliases (lines 43 and 46) allow the compiler to access the digits without first dereferencing the -mp\_int pointers and then subsequently the pointer to the digits. - -After the aliases are established the digits from $a$ are copied into $b$ (lines 49 to 51) and then the excess -digits of $b$ are set to zero (lines 54 to 56). Both ``for'' loops make use of the pointer aliases and in -fact the alias for $b$ is carried through into the second ``for'' loop to clear the excess digits. This optimization -allows the alias to stay in a machine register fairly easy between the two loops. - -\textbf{Remarks.} The use of pointer aliases is an implementation methodology first introduced in this function that will -be used considerably in other functions. Technically, a pointer alias is simply a short hand alias used to lower the -number of pointer dereferencing operations required to access data. For example, a for loop may resemble - -\begin{alltt} -for (x = 0; x < 100; x++) \{ - a->num[4]->dp[x] = 0; -\} -\end{alltt} - -This could be re-written using aliases as - -\begin{alltt} -mp_digit *tmpa; -a = a->num[4]->dp; -for (x = 0; x < 100; x++) \{ - *a++ = 0; -\} -\end{alltt} - -In this case an alias is used to access the -array of digits within an mp\_int structure directly. It may seem that a pointer alias is strictly not required -as a compiler may optimize out the redundant pointer operations. However, there are two dominant reasons to use aliases. - -The first reason is that most compilers will not effectively optimize pointer arithmetic. For example, some optimizations -may work for the Microsoft Visual C++ compiler (MSVC) and not for the GNU C Compiler (GCC). Also some optimizations may -work for GCC and not MSVC. As such it is ideal to find a common ground for as many compilers as possible. Pointer -aliases optimize the code considerably before the compiler even reads the source code which means the end compiled code -stands a better chance of being faster. - -The second reason is that pointer aliases often can make an algorithm simpler to read. Consider the first ``for'' -loop of the function mp\_copy() re-written to not use pointer aliases. - -\begin{alltt} - /* copy all the digits */ - for (n = 0; n < a->used; n++) \{ - b->dp[n] = a->dp[n]; - \} -\end{alltt} - -Whether this code is harder to read depends strongly on the individual. However, it is quantifiably slightly more -complicated as there are four variables within the statement instead of just two. - -\subsubsection{Nested Statements} -Another commonly used technique in the source routines is that certain sections of code are nested. This is used in -particular with the pointer aliases to highlight code phases. For example, a Comba multiplier (discussed in chapter six) -will typically have three different phases. First the temporaries are initialized, then the columns calculated and -finally the carries are propagated. In this example the middle column production phase will typically be nested as it -uses temporary variables and aliases the most. - -The nesting also simplies the source code as variables that are nested are only valid for their scope. As a result -the various temporary variables required do not propagate into other sections of code. - - -\subsection{Creating a Clone} -Another common operation is to make a local temporary copy of an mp\_int argument. To initialize an mp\_int -and then copy another existing mp\_int into the newly intialized mp\_int will be known as creating a clone. This is -useful within functions that need to modify an argument but do not wish to actually modify the original copy. The -mp\_init\_copy algorithm has been designed to help perform this task. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_init\_copy}. \\ -\textbf{Input}. An mp\_int $a$ and $b$\\ -\textbf{Output}. $a$ is initialized to be a copy of $b$. \\ -\hline \\ -1. Init $a$. (\textit{mp\_init}) \\ -2. Copy $b$ to $a$. (\textit{mp\_copy}) \\ -3. Return the status of the copy operation. \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_init\_copy} -\end{figure} - -\textbf{Algorithm mp\_init\_copy.} -This algorithm will initialize an mp\_int variable and copy another previously initialized mp\_int variable into it. As -such this algorithm will perform two operations in one step. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_init\_copy.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This will initialize \textbf{a} and make it a verbatim copy of the contents of \textbf{b}. Note that -\textbf{a} will have its own memory allocated which means that \textbf{b} may be cleared after the call -and \textbf{a} will be left intact. - -\section{Zeroing an Integer} -Reseting an mp\_int to the default state is a common step in many algorithms. The mp\_zero algorithm will be the algorithm used to -perform this task. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_zero}. \\ -\textbf{Input}. An mp\_int $a$ \\ -\textbf{Output}. Zero the contents of $a$ \\ -\hline \\ -1. $a.used \leftarrow 0$ \\ -2. $a.sign \leftarrow$ MP\_ZPOS \\ -3. for $n$ from 0 to $a.alloc - 1$ do \\ -\hspace{3mm}3.1 $a_n \leftarrow 0$ \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_zero} -\end{figure} - -\textbf{Algorithm mp\_zero.} -This algorithm simply resets a mp\_int to the default state. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_zero.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -After the function is completed, all of the digits are zeroed, the \textbf{used} count is zeroed and the -\textbf{sign} variable is set to \textbf{MP\_ZPOS}. - -\section{Sign Manipulation} -\subsection{Absolute Value} -With the mp\_int representation of an integer, calculating the absolute value is trivial. The mp\_abs algorithm will compute -the absolute value of an mp\_int. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_abs}. \\ -\textbf{Input}. An mp\_int $a$ \\ -\textbf{Output}. Computes $b = \vert a \vert$ \\ -\hline \\ -1. Copy $a$ to $b$. (\textit{mp\_copy}) \\ -2. If the copy failed return(\textit{MP\_MEM}). \\ -3. $b.sign \leftarrow MP\_ZPOS$ \\ -4. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_abs} -\end{figure} - -\textbf{Algorithm mp\_abs.} -This algorithm computes the absolute of an mp\_int input. First it copies $a$ over $b$. This is an example of an -algorithm where the check in mp\_copy that determines if the source and destination are equal proves useful. This allows, -for instance, the developer to pass the same mp\_int as the source and destination to this function without addition -logic to handle it. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_abs.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This fairly trivial algorithm first eliminates non--required duplications (line 28) and then sets the -\textbf{sign} flag to \textbf{MP\_ZPOS}. - -\subsection{Integer Negation} -With the mp\_int representation of an integer, calculating the negation is also trivial. The mp\_neg algorithm will compute -the negative of an mp\_int input. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_neg}. \\ -\textbf{Input}. An mp\_int $a$ \\ -\textbf{Output}. Computes $b = -a$ \\ -\hline \\ -1. Copy $a$ to $b$. (\textit{mp\_copy}) \\ -2. If the copy failed return(\textit{MP\_MEM}). \\ -3. If $a.used = 0$ then return(\textit{MP\_OKAY}). \\ -4. If $a.sign = MP\_ZPOS$ then do \\ -\hspace{3mm}4.1 $b.sign = MP\_NEG$. \\ -5. else do \\ -\hspace{3mm}5.1 $b.sign = MP\_ZPOS$. \\ -6. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_neg} -\end{figure} - -\textbf{Algorithm mp\_neg.} -This algorithm computes the negation of an input. First it copies $a$ over $b$. If $a$ has no used digits then -the algorithm returns immediately. Otherwise it flips the sign flag and stores the result in $b$. Note that if -$a$ had no digits then it must be positive by definition. Had step three been omitted then the algorithm would return -zero as negative. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_neg.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Like mp\_abs() this function avoids non--required duplications (line 22) and then sets the sign. We -have to make sure that only non--zero values get a \textbf{sign} of \textbf{MP\_NEG}. If the mp\_int is zero -than the \textbf{sign} is hard--coded to \textbf{MP\_ZPOS}. - -\section{Small Constants} -\subsection{Setting Small Constants} -Often a mp\_int must be set to a relatively small value such as $1$ or $2$. For these cases the mp\_set algorithm is useful. - -\newpage\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_set}. \\ -\textbf{Input}. An mp\_int $a$ and a digit $b$ \\ -\textbf{Output}. Make $a$ equivalent to $b$ \\ -\hline \\ -1. Zero $a$ (\textit{mp\_zero}). \\ -2. $a_0 \leftarrow b \mbox{ (mod }\beta\mbox{)}$ \\ -3. $a.used \leftarrow \left \lbrace \begin{array}{ll} - 1 & \mbox{if }a_0 > 0 \\ - 0 & \mbox{if }a_0 = 0 - \end{array} \right .$ \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_set} -\end{figure} - -\textbf{Algorithm mp\_set.} -This algorithm sets a mp\_int to a small single digit value. Step number 1 ensures that the integer is reset to the default state. The -single digit is set (\textit{modulo $\beta$}) and the \textbf{used} count is adjusted accordingly. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_set.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -First we zero (line 21) the mp\_int to make sure that the other members are initialized for a -small positive constant. mp\_zero() ensures that the \textbf{sign} is positive and the \textbf{used} count -is zero. Next we set the digit and reduce it modulo $\beta$ (line 22). After this step we have to -check if the resulting digit is zero or not. If it is not then we set the \textbf{used} count to one, otherwise -to zero. - -We can quickly reduce modulo $\beta$ since it is of the form $2^k$ and a quick binary AND operation with -$2^k - 1$ will perform the same operation. - -One important limitation of this function is that it will only set one digit. The size of a digit is not fixed, meaning source that uses -this function should take that into account. Only trivially small constants can be set using this function. - -\subsection{Setting Large Constants} -To overcome the limitations of the mp\_set algorithm the mp\_set\_int algorithm is ideal. It accepts a ``long'' -data type as input and will always treat it as a 32-bit integer. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_set\_int}. \\ -\textbf{Input}. An mp\_int $a$ and a ``long'' integer $b$ \\ -\textbf{Output}. Make $a$ equivalent to $b$ \\ -\hline \\ -1. Zero $a$ (\textit{mp\_zero}) \\ -2. for $n$ from 0 to 7 do \\ -\hspace{3mm}2.1 $a \leftarrow a \cdot 16$ (\textit{mp\_mul2d}) \\ -\hspace{3mm}2.2 $u \leftarrow \lfloor b / 2^{4(7 - n)} \rfloor \mbox{ (mod }16\mbox{)}$\\ -\hspace{3mm}2.3 $a_0 \leftarrow a_0 + u$ \\ -\hspace{3mm}2.4 $a.used \leftarrow a.used + 1$ \\ -3. Clamp excess used digits (\textit{mp\_clamp}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_set\_int} -\end{figure} - -\textbf{Algorithm mp\_set\_int.} -The algorithm performs eight iterations of a simple loop where in each iteration four bits from the source are added to the -mp\_int. Step 2.1 will multiply the current result by sixteen making room for four more bits in the less significant positions. In step 2.2 the -next four bits from the source are extracted and are added to the mp\_int. The \textbf{used} digit count is -incremented to reflect the addition. The \textbf{used} digit counter is incremented since if any of the leading digits were zero the mp\_int would have -zero digits used and the newly added four bits would be ignored. - -Excess zero digits are trimmed in steps 2.1 and 3 by using higher level algorithms mp\_mul2d and mp\_clamp. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_set\_int.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This function sets four bits of the number at a time to handle all practical \textbf{DIGIT\_BIT} sizes. The weird -addition on line 39 ensures that the newly added in bits are added to the number of digits. While it may not -seem obvious as to why the digit counter does not grow exceedingly large it is because of the shift on line 28 -as well as the call to mp\_clamp() on line 41. Both functions will clamp excess leading digits which keeps -the number of used digits low. - -\section{Comparisons} -\subsection{Unsigned Comparisions} -Comparing a multiple precision integer is performed with the exact same algorithm used to compare two decimal numbers. For example, -to compare $1,234$ to $1,264$ the digits are extracted by their positions. That is we compare $1 \cdot 10^3 + 2 \cdot 10^2 + 3 \cdot 10^1 + 4 \cdot 10^0$ -to $1 \cdot 10^3 + 2 \cdot 10^2 + 6 \cdot 10^1 + 4 \cdot 10^0$ by comparing single digits at a time starting with the highest magnitude -positions. If any leading digit of one integer is greater than a digit in the same position of another integer then obviously it must be greater. - -The first comparision routine that will be developed is the unsigned magnitude compare which will perform a comparison based on the digits of two -mp\_int variables alone. It will ignore the sign of the two inputs. Such a function is useful when an absolute comparison is required or if the -signs are known to agree in advance. - -To facilitate working with the results of the comparison functions three constants are required. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{|r|l|} -\hline \textbf{Constant} & \textbf{Meaning} \\ -\hline \textbf{MP\_GT} & Greater Than \\ -\hline \textbf{MP\_EQ} & Equal To \\ -\hline \textbf{MP\_LT} & Less Than \\ -\hline -\end{tabular} -\end{center} -\caption{Comparison Return Codes} -\end{figure} - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_cmp\_mag}. \\ -\textbf{Input}. Two mp\_ints $a$ and $b$. \\ -\textbf{Output}. Unsigned comparison results ($a$ to the left of $b$). \\ -\hline \\ -1. If $a.used > b.used$ then return(\textit{MP\_GT}) \\ -2. If $a.used < b.used$ then return(\textit{MP\_LT}) \\ -3. for n from $a.used - 1$ to 0 do \\ -\hspace{+3mm}3.1 if $a_n > b_n$ then return(\textit{MP\_GT}) \\ -\hspace{+3mm}3.2 if $a_n < b_n$ then return(\textit{MP\_LT}) \\ -4. Return(\textit{MP\_EQ}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_cmp\_mag} -\end{figure} - -\textbf{Algorithm mp\_cmp\_mag.} -By saying ``$a$ to the left of $b$'' it is meant that the comparison is with respect to $a$, that is if $a$ is greater than $b$ it will return -\textbf{MP\_GT} and similar with respect to when $a = b$ and $a < b$. The first two steps compare the number of digits used in both $a$ and $b$. -Obviously if the digit counts differ there would be an imaginary zero digit in the smaller number where the leading digit of the larger number is. -If both have the same number of digits than the actual digits themselves must be compared starting at the leading digit. - -By step three both inputs must have the same number of digits so its safe to start from either $a.used - 1$ or $b.used - 1$ and count down to -the zero'th digit. If after all of the digits have been compared, no difference is found, the algorithm returns \textbf{MP\_EQ}. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_cmp\_mag.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The two if statements (lines 25 and 29) compare the number of digits in the two inputs. These two are -performed before all of the digits are compared since it is a very cheap test to perform and can potentially save -considerable time. The implementation given is also not valid without those two statements. $b.alloc$ may be -smaller than $a.used$, meaning that undefined values will be read from $b$ past the end of the array of digits. - - - -\subsection{Signed Comparisons} -Comparing with sign considerations is also fairly critical in several routines (\textit{division for example}). Based on an unsigned magnitude -comparison a trivial signed comparison algorithm can be written. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_cmp}. \\ -\textbf{Input}. Two mp\_ints $a$ and $b$ \\ -\textbf{Output}. Signed Comparison Results ($a$ to the left of $b$) \\ -\hline \\ -1. if $a.sign = MP\_NEG$ and $b.sign = MP\_ZPOS$ then return(\textit{MP\_LT}) \\ -2. if $a.sign = MP\_ZPOS$ and $b.sign = MP\_NEG$ then return(\textit{MP\_GT}) \\ -3. if $a.sign = MP\_NEG$ then \\ -\hspace{+3mm}3.1 Return the unsigned comparison of $b$ and $a$ (\textit{mp\_cmp\_mag}) \\ -4 Otherwise \\ -\hspace{+3mm}4.1 Return the unsigned comparison of $a$ and $b$ \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_cmp} -\end{figure} - -\textbf{Algorithm mp\_cmp.} -The first two steps compare the signs of the two inputs. If the signs do not agree then it can return right away with the appropriate -comparison code. When the signs are equal the digits of the inputs must be compared to determine the correct result. In step -three the unsigned comparision flips the order of the arguments since they are both negative. For instance, if $-a > -b$ then -$\vert a \vert < \vert b \vert$. Step number four will compare the two when they are both positive. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_cmp.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The two if statements (lines 23 and 24) perform the initial sign comparison. If the signs are not the equal then which ever -has the positive sign is larger. The inputs are compared (line 32) based on magnitudes. If the signs were both -negative then the unsigned comparison is performed in the opposite direction (line 34). Otherwise, the signs are assumed to -be both positive and a forward direction unsigned comparison is performed. - -\section*{Exercises} -\begin{tabular}{cl} -$\left [ 2 \right ]$ & Modify algorithm mp\_set\_int to accept as input a variable length array of bits. \\ - & \\ -$\left [ 3 \right ]$ & Give the probability that algorithm mp\_cmp\_mag will have to compare $k$ digits \\ - & of two random digits (of equal magnitude) before a difference is found. \\ - & \\ -$\left [ 1 \right ]$ & Suggest a simple method to speed up the implementation of mp\_cmp\_mag based \\ - & on the observations made in the previous problem. \\ - & -\end{tabular} - -\chapter{Basic Arithmetic} -\section{Introduction} -At this point algorithms for initialization, clearing, zeroing, copying, comparing and setting small constants have been -established. The next logical set of algorithms to develop are addition, subtraction and digit shifting algorithms. These -algorithms make use of the lower level algorithms and are the cruicial building block for the multiplication algorithms. It is very important -that these algorithms are highly optimized. On their own they are simple $O(n)$ algorithms but they can be called from higher level algorithms -which easily places them at $O(n^2)$ or even $O(n^3)$ work levels. - -All of the algorithms within this chapter make use of the logical bit shift operations denoted by $<<$ and $>>$ for left and right -logical shifts respectively. A logical shift is analogous to sliding the decimal point of radix-10 representations. For example, the real -number $0.9345$ is equivalent to $93.45\%$ which is found by sliding the the decimal two places to the right (\textit{multiplying by $\beta^2 = 10^2$}). -Algebraically a binary logical shift is equivalent to a division or multiplication by a power of two. -For example, $a << k = a \cdot 2^k$ while $a >> k = \lfloor a/2^k \rfloor$. - -One significant difference between a logical shift and the way decimals are shifted is that digits below the zero'th position are removed -from the number. For example, consider $1101_2 >> 1$ using decimal notation this would produce $110.1_2$. However, with a logical shift the -result is $110_2$. - -\section{Addition and Subtraction} -In common twos complement fixed precision arithmetic negative numbers are easily represented by subtraction from the modulus. For example, with 32-bit integers -$a - b\mbox{ (mod }2^{32}\mbox{)}$ is the same as $a + (2^{32} - b) \mbox{ (mod }2^{32}\mbox{)}$ since $2^{32} \equiv 0 \mbox{ (mod }2^{32}\mbox{)}$. -As a result subtraction can be performed with a trivial series of logical operations and an addition. - -However, in multiple precision arithmetic negative numbers are not represented in the same way. Instead a sign flag is used to keep track of the -sign of the integer. As a result signed addition and subtraction are actually implemented as conditional usage of lower level addition or -subtraction algorithms with the sign fixed up appropriately. - -The lower level algorithms will add or subtract integers without regard to the sign flag. That is they will add or subtract the magnitude of -the integers respectively. - -\subsection{Low Level Addition} -An unsigned addition of multiple precision integers is performed with the same long-hand algorithm used to add decimal numbers. That is to add the -trailing digits first and propagate the resulting carry upwards. Since this is a lower level algorithm the name will have a ``s\_'' prefix. -Historically that convention stems from the MPI library where ``s\_'' stood for static functions that were hidden from the developer entirely. - -\newpage -\begin{figure}[!here] -\begin{center} -\begin{small} -\begin{tabular}{l} -\hline Algorithm \textbf{s\_mp\_add}. \\ -\textbf{Input}. Two mp\_ints $a$ and $b$ \\ -\textbf{Output}. The unsigned addition $c = \vert a \vert + \vert b \vert$. \\ -\hline \\ -1. if $a.used > b.used$ then \\ -\hspace{+3mm}1.1 $min \leftarrow b.used$ \\ -\hspace{+3mm}1.2 $max \leftarrow a.used$ \\ -\hspace{+3mm}1.3 $x \leftarrow a$ \\ -2. else \\ -\hspace{+3mm}2.1 $min \leftarrow a.used$ \\ -\hspace{+3mm}2.2 $max \leftarrow b.used$ \\ -\hspace{+3mm}2.3 $x \leftarrow b$ \\ -3. If $c.alloc < max + 1$ then grow $c$ to hold at least $max + 1$ digits (\textit{mp\_grow}) \\ -4. $oldused \leftarrow c.used$ \\ -5. $c.used \leftarrow max + 1$ \\ -6. $u \leftarrow 0$ \\ -7. for $n$ from $0$ to $min - 1$ do \\ -\hspace{+3mm}7.1 $c_n \leftarrow a_n + b_n + u$ \\ -\hspace{+3mm}7.2 $u \leftarrow c_n >> lg(\beta)$ \\ -\hspace{+3mm}7.3 $c_n \leftarrow c_n \mbox{ (mod }\beta\mbox{)}$ \\ -8. if $min \ne max$ then do \\ -\hspace{+3mm}8.1 for $n$ from $min$ to $max - 1$ do \\ -\hspace{+6mm}8.1.1 $c_n \leftarrow x_n + u$ \\ -\hspace{+6mm}8.1.2 $u \leftarrow c_n >> lg(\beta)$ \\ -\hspace{+6mm}8.1.3 $c_n \leftarrow c_n \mbox{ (mod }\beta\mbox{)}$ \\ -9. $c_{max} \leftarrow u$ \\ -10. if $olduse > max$ then \\ -\hspace{+3mm}10.1 for $n$ from $max + 1$ to $oldused - 1$ do \\ -\hspace{+6mm}10.1.1 $c_n \leftarrow 0$ \\ -11. Clamp excess digits in $c$. (\textit{mp\_clamp}) \\ -12. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Algorithm s\_mp\_add} -\end{figure} - -\textbf{Algorithm s\_mp\_add.} -This algorithm is loosely based on algorithm 14.7 of HAC \cite[pp. 594]{HAC} but has been extended to allow the inputs to have different magnitudes. -Coincidentally the description of algorithm A in Knuth \cite[pp. 266]{TAOCPV2} shares the same deficiency as the algorithm from \cite{HAC}. Even the -MIX pseudo machine code presented by Knuth \cite[pp. 266-267]{TAOCPV2} is incapable of handling inputs which are of different magnitudes. - -The first thing that has to be accomplished is to sort out which of the two inputs is the largest. The addition logic -will simply add all of the smallest input to the largest input and store that first part of the result in the -destination. Then it will apply a simpler addition loop to excess digits of the larger input. - -The first two steps will handle sorting the inputs such that $min$ and $max$ hold the digit counts of the two -inputs. The variable $x$ will be an mp\_int alias for the largest input or the second input $b$ if they have the -same number of digits. After the inputs are sorted the destination $c$ is grown as required to accomodate the sum -of the two inputs. The original \textbf{used} count of $c$ is copied and set to the new used count. - -At this point the first addition loop will go through as many digit positions that both inputs have. The carry -variable $\mu$ is set to zero outside the loop. Inside the loop an ``addition'' step requires three statements to produce -one digit of the summand. First -two digits from $a$ and $b$ are added together along with the carry $\mu$. The carry of this step is extracted and stored -in $\mu$ and finally the digit of the result $c_n$ is truncated within the range $0 \le c_n < \beta$. - -Now all of the digit positions that both inputs have in common have been exhausted. If $min \ne max$ then $x$ is an alias -for one of the inputs that has more digits. A simplified addition loop is then used to essentially copy the remaining digits -and the carry to the destination. - -The final carry is stored in $c_{max}$ and digits above $max$ upto $oldused$ are zeroed which completes the addition. - - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_s\_mp\_add.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -We first sort (lines 28 to 36) the inputs based on magnitude and determine the $min$ and $max$ variables. -Note that $x$ is a pointer to an mp\_int assigned to the largest input, in effect it is a local alias. Next we -grow the destination (38 to 42) ensure that it can accomodate the result of the addition. - -Similar to the implementation of mp\_copy this function uses the braced code and local aliases coding style. The three aliases that are on -lines 56, 59 and 62 represent the two inputs and destination variables respectively. These aliases are used to ensure the -compiler does not have to dereference $a$, $b$ or $c$ (respectively) to access the digits of the respective mp\_int. - -The initial carry $u$ will be cleared (line 65), note that $u$ is of type mp\_digit which ensures type -compatibility within the implementation. The initial addition (line 66 to 75) adds digits from -both inputs until the smallest input runs out of digits. Similarly the conditional addition loop -(line 81 to 90) adds the remaining digits from the larger of the two inputs. The addition is finished -with the final carry being stored in $tmpc$ (line 94). Note the ``++'' operator within the same expression. -After line 94, $tmpc$ will point to the $c.used$'th digit of the mp\_int $c$. This is useful -for the next loop (line 97 to 99) which set any old upper digits to zero. - -\subsection{Low Level Subtraction} -The low level unsigned subtraction algorithm is very similar to the low level unsigned addition algorithm. The principle difference is that the -unsigned subtraction algorithm requires the result to be positive. That is when computing $a - b$ the condition $\vert a \vert \ge \vert b\vert$ must -be met for this algorithm to function properly. Keep in mind this low level algorithm is not meant to be used in higher level algorithms directly. -This algorithm as will be shown can be used to create functional signed addition and subtraction algorithms. - - -For this algorithm a new variable is required to make the description simpler. Recall from section 1.3.1 that a mp\_digit must be able to represent -the range $0 \le x < 2\beta$ for the algorithms to work correctly. However, it is allowable that a mp\_digit represent a larger range of values. For -this algorithm we will assume that the variable $\gamma$ represents the number of bits available in a -mp\_digit (\textit{this implies $2^{\gamma} > \beta$}). - -For example, the default for LibTomMath is to use a ``unsigned long'' for the mp\_digit ``type'' while $\beta = 2^{28}$. In ISO C an ``unsigned long'' -data type must be able to represent $0 \le x < 2^{32}$ meaning that in this case $\gamma \ge 32$. - -\newpage\begin{figure}[!here] -\begin{center} -\begin{small} -\begin{tabular}{l} -\hline Algorithm \textbf{s\_mp\_sub}. \\ -\textbf{Input}. Two mp\_ints $a$ and $b$ ($\vert a \vert \ge \vert b \vert$) \\ -\textbf{Output}. The unsigned subtraction $c = \vert a \vert - \vert b \vert$. \\ -\hline \\ -1. $min \leftarrow b.used$ \\ -2. $max \leftarrow a.used$ \\ -3. If $c.alloc < max$ then grow $c$ to hold at least $max$ digits. (\textit{mp\_grow}) \\ -4. $oldused \leftarrow c.used$ \\ -5. $c.used \leftarrow max$ \\ -6. $u \leftarrow 0$ \\ -7. for $n$ from $0$ to $min - 1$ do \\ -\hspace{3mm}7.1 $c_n \leftarrow a_n - b_n - u$ \\ -\hspace{3mm}7.2 $u \leftarrow c_n >> (\gamma - 1)$ \\ -\hspace{3mm}7.3 $c_n \leftarrow c_n \mbox{ (mod }\beta\mbox{)}$ \\ -8. if $min < max$ then do \\ -\hspace{3mm}8.1 for $n$ from $min$ to $max - 1$ do \\ -\hspace{6mm}8.1.1 $c_n \leftarrow a_n - u$ \\ -\hspace{6mm}8.1.2 $u \leftarrow c_n >> (\gamma - 1)$ \\ -\hspace{6mm}8.1.3 $c_n \leftarrow c_n \mbox{ (mod }\beta\mbox{)}$ \\ -9. if $oldused > max$ then do \\ -\hspace{3mm}9.1 for $n$ from $max$ to $oldused - 1$ do \\ -\hspace{6mm}9.1.1 $c_n \leftarrow 0$ \\ -10. Clamp excess digits of $c$. (\textit{mp\_clamp}). \\ -11. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Algorithm s\_mp\_sub} -\end{figure} - -\textbf{Algorithm s\_mp\_sub.} -This algorithm performs the unsigned subtraction of two mp\_int variables under the restriction that the result must be positive. That is when -passing variables $a$ and $b$ the condition that $\vert a \vert \ge \vert b \vert$ must be met for the algorithm to function correctly. This -algorithm is loosely based on algorithm 14.9 \cite[pp. 595]{HAC} and is similar to algorithm S in \cite[pp. 267]{TAOCPV2} as well. As was the case -of the algorithm s\_mp\_add both other references lack discussion concerning various practical details such as when the inputs differ in magnitude. - -The initial sorting of the inputs is trivial in this algorithm since $a$ is guaranteed to have at least the same magnitude of $b$. Steps 1 and 2 -set the $min$ and $max$ variables. Unlike the addition routine there is guaranteed to be no carry which means that the final result can be at -most $max$ digits in length as opposed to $max + 1$. Similar to the addition algorithm the \textbf{used} count of $c$ is copied locally and -set to the maximal count for the operation. - -The subtraction loop that begins on step seven is essentially the same as the addition loop of algorithm s\_mp\_add except single precision -subtraction is used instead. Note the use of the $\gamma$ variable to extract the carry (\textit{also known as the borrow}) within the subtraction -loops. Under the assumption that two's complement single precision arithmetic is used this will successfully extract the desired carry. - -For example, consider subtracting $0101_2$ from $0100_2$ where $\gamma = 4$ and $\beta = 2$. The least significant bit will force a carry upwards to -the third bit which will be set to zero after the borrow. After the very first bit has been subtracted $4 - 1 \equiv 0011_2$ will remain, When the -third bit of $0101_2$ is subtracted from the result it will cause another carry. In this case though the carry will be forced to propagate all the -way to the most significant bit. - -Recall that $\beta < 2^{\gamma}$. This means that if a carry does occur just before the $lg(\beta)$'th bit it will propagate all the way to the most -significant bit. Thus, the high order bits of the mp\_digit that are not part of the actual digit will either be all zero, or all one. All that -is needed is a single zero or one bit for the carry. Therefore a single logical shift right by $\gamma - 1$ positions is sufficient to extract the -carry. This method of carry extraction may seem awkward but the reason for it becomes apparent when the implementation is discussed. - -If $b$ has a smaller magnitude than $a$ then step 9 will force the carry and copy operation to propagate through the larger input $a$ into $c$. Step -10 will ensure that any leading digits of $c$ above the $max$'th position are zeroed. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_s\_mp\_sub.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Like low level addition we ``sort'' the inputs. Except in this case the sorting is hardcoded -(lines 25 and 26). In reality the $min$ and $max$ variables are only aliases and are only -used to make the source code easier to read. Again the pointer alias optimization is used -within this algorithm. The aliases $tmpa$, $tmpb$ and $tmpc$ are initialized -(lines 42, 43 and 44) for $a$, $b$ and $c$ respectively. - -The first subtraction loop (lines 47 through 61) subtract digits from both inputs until the smaller of -the two inputs has been exhausted. As remarked earlier there is an implementation reason for using the ``awkward'' -method of extracting the carry (line 57). The traditional method for extracting the carry would be to shift -by $lg(\beta)$ positions and logically AND the least significant bit. The AND operation is required because all of -the bits above the $\lg(\beta)$'th bit will be set to one after a carry occurs from subtraction. This carry -extraction requires two relatively cheap operations to extract the carry. The other method is to simply shift the -most significant bit to the least significant bit thus extracting the carry with a single cheap operation. This -optimization only works on twos compliment machines which is a safe assumption to make. - -If $a$ has a larger magnitude than $b$ an additional loop (lines 64 through 73) is required to propagate -the carry through $a$ and copy the result to $c$. - -\subsection{High Level Addition} -Now that both lower level addition and subtraction algorithms have been established an effective high level signed addition algorithm can be -established. This high level addition algorithm will be what other algorithms and developers will use to perform addition of mp\_int data -types. - -Recall from section 5.2 that an mp\_int represents an integer with an unsigned mantissa (\textit{the array of digits}) and a \textbf{sign} -flag. A high level addition is actually performed as a series of eight separate cases which can be optimized down to three unique cases. - -\begin{figure}[!here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_add}. \\ -\textbf{Input}. Two mp\_ints $a$ and $b$ \\ -\textbf{Output}. The signed addition $c = a + b$. \\ -\hline \\ -1. if $a.sign = b.sign$ then do \\ -\hspace{3mm}1.1 $c.sign \leftarrow a.sign$ \\ -\hspace{3mm}1.2 $c \leftarrow \vert a \vert + \vert b \vert$ (\textit{s\_mp\_add})\\ -2. else do \\ -\hspace{3mm}2.1 if $\vert a \vert < \vert b \vert$ then do (\textit{mp\_cmp\_mag}) \\ -\hspace{6mm}2.1.1 $c.sign \leftarrow b.sign$ \\ -\hspace{6mm}2.1.2 $c \leftarrow \vert b \vert - \vert a \vert$ (\textit{s\_mp\_sub}) \\ -\hspace{3mm}2.2 else do \\ -\hspace{6mm}2.2.1 $c.sign \leftarrow a.sign$ \\ -\hspace{6mm}2.2.2 $c \leftarrow \vert a \vert - \vert b \vert$ \\ -3. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_add} -\end{figure} - -\textbf{Algorithm mp\_add.} -This algorithm performs the signed addition of two mp\_int variables. There is no reference algorithm to draw upon from -either \cite{TAOCPV2} or \cite{HAC} since they both only provide unsigned operations. The algorithm is fairly -straightforward but restricted since subtraction can only produce positive results. - -\begin{figure}[here] -\begin{small} -\begin{center} -\begin{tabular}{|c|c|c|c|c|} -\hline \textbf{Sign of $a$} & \textbf{Sign of $b$} & \textbf{$\vert a \vert > \vert b \vert $} & \textbf{Unsigned Operation} & \textbf{Result Sign Flag} \\ -\hline $+$ & $+$ & Yes & $c = a + b$ & $a.sign$ \\ -\hline $+$ & $+$ & No & $c = a + b$ & $a.sign$ \\ -\hline $-$ & $-$ & Yes & $c = a + b$ & $a.sign$ \\ -\hline $-$ & $-$ & No & $c = a + b$ & $a.sign$ \\ -\hline &&&&\\ - -\hline $+$ & $-$ & No & $c = b - a$ & $b.sign$ \\ -\hline $-$ & $+$ & No & $c = b - a$ & $b.sign$ \\ - -\hline &&&&\\ - -\hline $+$ & $-$ & Yes & $c = a - b$ & $a.sign$ \\ -\hline $-$ & $+$ & Yes & $c = a - b$ & $a.sign$ \\ - -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Addition Guide Chart} -\label{fig:AddChart} -\end{figure} - -Figure~\ref{fig:AddChart} lists all of the eight possible input combinations and is sorted to show that only three -specific cases need to be handled. The return code of the unsigned operations at step 1.2, 2.1.2 and 2.2.2 are -forwarded to step three to check for errors. This simplifies the description of the algorithm considerably and best -follows how the implementation actually was achieved. - -Also note how the \textbf{sign} is set before the unsigned addition or subtraction is performed. Recall from the descriptions of algorithms -s\_mp\_add and s\_mp\_sub that the mp\_clamp function is used at the end to trim excess digits. The mp\_clamp algorithm will set the \textbf{sign} -to \textbf{MP\_ZPOS} when the \textbf{used} digit count reaches zero. - -For example, consider performing $-a + a$ with algorithm mp\_add. By the description of the algorithm the sign is set to \textbf{MP\_NEG} which would -produce a result of $-0$. However, since the sign is set first then the unsigned addition is performed the subsequent usage of algorithm mp\_clamp -within algorithm s\_mp\_add will force $-0$ to become $0$. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_add.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The source code follows the algorithm fairly closely. The most notable new source code addition is the usage of the $res$ integer variable which -is used to pass result of the unsigned operations forward. Unlike in the algorithm, the variable $res$ is merely returned as is without -explicitly checking it and returning the constant \textbf{MP\_OKAY}. The observation is this algorithm will succeed or fail only if the lower -level functions do so. Returning their return code is sufficient. - -\subsection{High Level Subtraction} -The high level signed subtraction algorithm is essentially the same as the high level signed addition algorithm. - -\newpage\begin{figure}[!here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_sub}. \\ -\textbf{Input}. Two mp\_ints $a$ and $b$ \\ -\textbf{Output}. The signed subtraction $c = a - b$. \\ -\hline \\ -1. if $a.sign \ne b.sign$ then do \\ -\hspace{3mm}1.1 $c.sign \leftarrow a.sign$ \\ -\hspace{3mm}1.2 $c \leftarrow \vert a \vert + \vert b \vert$ (\textit{s\_mp\_add}) \\ -2. else do \\ -\hspace{3mm}2.1 if $\vert a \vert \ge \vert b \vert$ then do (\textit{mp\_cmp\_mag}) \\ -\hspace{6mm}2.1.1 $c.sign \leftarrow a.sign$ \\ -\hspace{6mm}2.1.2 $c \leftarrow \vert a \vert - \vert b \vert$ (\textit{s\_mp\_sub}) \\ -\hspace{3mm}2.2 else do \\ -\hspace{6mm}2.2.1 $c.sign \leftarrow \left \lbrace \begin{array}{ll} - MP\_ZPOS & \mbox{if }a.sign = MP\_NEG \\ - MP\_NEG & \mbox{otherwise} \\ - \end{array} \right .$ \\ -\hspace{6mm}2.2.2 $c \leftarrow \vert b \vert - \vert a \vert$ \\ -3. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_sub} -\end{figure} - -\textbf{Algorithm mp\_sub.} -This algorithm performs the signed subtraction of two inputs. Similar to algorithm mp\_add there is no reference in either \cite{TAOCPV2} or -\cite{HAC}. Also this algorithm is restricted by algorithm s\_mp\_sub. Chart \ref{fig:SubChart} lists the eight possible inputs and -the operations required. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{|c|c|c|c|c|} -\hline \textbf{Sign of $a$} & \textbf{Sign of $b$} & \textbf{$\vert a \vert \ge \vert b \vert $} & \textbf{Unsigned Operation} & \textbf{Result Sign Flag} \\ -\hline $+$ & $-$ & Yes & $c = a + b$ & $a.sign$ \\ -\hline $+$ & $-$ & No & $c = a + b$ & $a.sign$ \\ -\hline $-$ & $+$ & Yes & $c = a + b$ & $a.sign$ \\ -\hline $-$ & $+$ & No & $c = a + b$ & $a.sign$ \\ -\hline &&&& \\ -\hline $+$ & $+$ & Yes & $c = a - b$ & $a.sign$ \\ -\hline $-$ & $-$ & Yes & $c = a - b$ & $a.sign$ \\ -\hline &&&& \\ -\hline $+$ & $+$ & No & $c = b - a$ & $\mbox{opposite of }a.sign$ \\ -\hline $-$ & $-$ & No & $c = b - a$ & $\mbox{opposite of }a.sign$ \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Subtraction Guide Chart} -\label{fig:SubChart} -\end{figure} - -Similar to the case of algorithm mp\_add the \textbf{sign} is set first before the unsigned addition or subtraction. That is to prevent the -algorithm from producing $-a - -a = -0$ as a result. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_sub.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Much like the implementation of algorithm mp\_add the variable $res$ is used to catch the return code of the unsigned addition or subtraction operations -and forward it to the end of the function. On line 39 the ``not equal to'' \textbf{MP\_LT} expression is used to emulate a -``greater than or equal to'' comparison. - -\section{Bit and Digit Shifting} -It is quite common to think of a multiple precision integer as a polynomial in $x$, that is $y = f(\beta)$ where $f(x) = \sum_{i=0}^{n-1} a_i x^i$. -This notation arises within discussion of Montgomery and Diminished Radix Reduction as well as Karatsuba multiplication and squaring. - -In order to facilitate operations on polynomials in $x$ as above a series of simple ``digit'' algorithms have to be established. That is to shift -the digits left or right as well to shift individual bits of the digits left and right. It is important to note that not all ``shift'' operations -are on radix-$\beta$ digits. - -\subsection{Multiplication by Two} - -In a binary system where the radix is a power of two multiplication by two not only arises often in other algorithms it is a fairly efficient -operation to perform. A single precision logical shift left is sufficient to multiply a single digit by two. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_mul\_2}. \\ -\textbf{Input}. One mp\_int $a$ \\ -\textbf{Output}. $b = 2a$. \\ -\hline \\ -1. If $b.alloc < a.used + 1$ then grow $b$ to hold $a.used + 1$ digits. (\textit{mp\_grow}) \\ -2. $oldused \leftarrow b.used$ \\ -3. $b.used \leftarrow a.used$ \\ -4. $r \leftarrow 0$ \\ -5. for $n$ from 0 to $a.used - 1$ do \\ -\hspace{3mm}5.1 $rr \leftarrow a_n >> (lg(\beta) - 1)$ \\ -\hspace{3mm}5.2 $b_n \leftarrow (a_n << 1) + r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}5.3 $r \leftarrow rr$ \\ -6. If $r \ne 0$ then do \\ -\hspace{3mm}6.1 $b_{n + 1} \leftarrow r$ \\ -\hspace{3mm}6.2 $b.used \leftarrow b.used + 1$ \\ -7. If $b.used < oldused - 1$ then do \\ -\hspace{3mm}7.1 for $n$ from $b.used$ to $oldused - 1$ do \\ -\hspace{6mm}7.1.1 $b_n \leftarrow 0$ \\ -8. $b.sign \leftarrow a.sign$ \\ -9. Return(\textit{MP\_OKAY}).\\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_mul\_2} -\end{figure} - -\textbf{Algorithm mp\_mul\_2.} -This algorithm will quickly multiply a mp\_int by two provided $\beta$ is a power of two. Neither \cite{TAOCPV2} nor \cite{HAC} describe such -an algorithm despite the fact it arises often in other algorithms. The algorithm is setup much like the lower level algorithm s\_mp\_add since -it is for all intents and purposes equivalent to the operation $b = \vert a \vert + \vert a \vert$. - -Step 1 and 2 grow the input as required to accomodate the maximum number of \textbf{used} digits in the result. The initial \textbf{used} count -is set to $a.used$ at step 4. Only if there is a final carry will the \textbf{used} count require adjustment. - -Step 6 is an optimization implementation of the addition loop for this specific case. That is since the two values being added together -are the same there is no need to perform two reads from the digits of $a$. Step 6.1 performs a single precision shift on the current digit $a_n$ to -obtain what will be the carry for the next iteration. Step 6.2 calculates the $n$'th digit of the result as single precision shift of $a_n$ plus -the previous carry. Recall from section 4.1 that $a_n << 1$ is equivalent to $a_n \cdot 2$. An iteration of the addition loop is finished with -forwarding the carry to the next iteration. - -Step 7 takes care of any final carry by setting the $a.used$'th digit of the result to the carry and augmenting the \textbf{used} count of $b$. -Step 8 clears any leading digits of $b$ in case it originally had a larger magnitude than $a$. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_mul\_2.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This implementation is essentially an optimized implementation of s\_mp\_add for the case of doubling an input. The only noteworthy difference -is the use of the logical shift operator on line 52 to perform a single precision doubling. - -\subsection{Division by Two} -A division by two can just as easily be accomplished with a logical shift right as multiplication by two can be with a logical shift left. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_div\_2}. \\ -\textbf{Input}. One mp\_int $a$ \\ -\textbf{Output}. $b = a/2$. \\ -\hline \\ -1. If $b.alloc < a.used$ then grow $b$ to hold $a.used$ digits. (\textit{mp\_grow}) \\ -2. If the reallocation failed return(\textit{MP\_MEM}). \\ -3. $oldused \leftarrow b.used$ \\ -4. $b.used \leftarrow a.used$ \\ -5. $r \leftarrow 0$ \\ -6. for $n$ from $b.used - 1$ to $0$ do \\ -\hspace{3mm}6.1 $rr \leftarrow a_n \mbox{ (mod }2\mbox{)}$\\ -\hspace{3mm}6.2 $b_n \leftarrow (a_n >> 1) + (r << (lg(\beta) - 1)) \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}6.3 $r \leftarrow rr$ \\ -7. If $b.used < oldused - 1$ then do \\ -\hspace{3mm}7.1 for $n$ from $b.used$ to $oldused - 1$ do \\ -\hspace{6mm}7.1.1 $b_n \leftarrow 0$ \\ -8. $b.sign \leftarrow a.sign$ \\ -9. Clamp excess digits of $b$. (\textit{mp\_clamp}) \\ -10. Return(\textit{MP\_OKAY}).\\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_div\_2} -\end{figure} - -\textbf{Algorithm mp\_div\_2.} -This algorithm will divide an mp\_int by two using logical shifts to the right. Like mp\_mul\_2 it uses a modified low level addition -core as the basis of the algorithm. Unlike mp\_mul\_2 the shift operations work from the leading digit to the trailing digit. The algorithm -could be written to work from the trailing digit to the leading digit however, it would have to stop one short of $a.used - 1$ digits to prevent -reading past the end of the array of digits. - -Essentially the loop at step 6 is similar to that of mp\_mul\_2 except the logical shifts go in the opposite direction and the carry is at the -least significant bit not the most significant bit. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_div\_2.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\section{Polynomial Basis Operations} -Recall from section 4.3 that any integer can be represented as a polynomial in $x$ as $y = f(\beta)$. Such a representation is also known as -the polynomial basis \cite[pp. 48]{ROSE}. Given such a notation a multiplication or division by $x$ amounts to shifting whole digits a single -place. The need for such operations arises in several other higher level algorithms such as Barrett and Montgomery reduction, integer -division and Karatsuba multiplication. - -Converting from an array of digits to polynomial basis is very simple. Consider the integer $y \equiv (a_2, a_1, a_0)_{\beta}$ and recall that -$y = \sum_{i=0}^{2} a_i \beta^i$. Simply replace $\beta$ with $x$ and the expression is in polynomial basis. For example, $f(x) = 8x + 9$ is the -polynomial basis representation for $89$ using radix ten. That is, $f(10) = 8(10) + 9 = 89$. - -\subsection{Multiplication by $x$} - -Given a polynomial in $x$ such as $f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_0$ multiplying by $x$ amounts to shifting the coefficients up one -degree. In this case $f(x) \cdot x = a_n x^{n+1} + a_{n-1} x^n + ... + a_0 x$. From a scalar basis point of view multiplying by $x$ is equivalent to -multiplying by the integer $\beta$. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_lshd}. \\ -\textbf{Input}. One mp\_int $a$ and an integer $b$ \\ -\textbf{Output}. $a \leftarrow a \cdot \beta^b$ (equivalent to multiplication by $x^b$). \\ -\hline \\ -1. If $b \le 0$ then return(\textit{MP\_OKAY}). \\ -2. If $a.alloc < a.used + b$ then grow $a$ to at least $a.used + b$ digits. (\textit{mp\_grow}). \\ -3. If the reallocation failed return(\textit{MP\_MEM}). \\ -4. $a.used \leftarrow a.used + b$ \\ -5. $i \leftarrow a.used - 1$ \\ -6. $j \leftarrow a.used - 1 - b$ \\ -7. for $n$ from $a.used - 1$ to $b$ do \\ -\hspace{3mm}7.1 $a_{i} \leftarrow a_{j}$ \\ -\hspace{3mm}7.2 $i \leftarrow i - 1$ \\ -\hspace{3mm}7.3 $j \leftarrow j - 1$ \\ -8. for $n$ from 0 to $b - 1$ do \\ -\hspace{3mm}8.1 $a_n \leftarrow 0$ \\ -9. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_lshd} -\end{figure} - -\textbf{Algorithm mp\_lshd.} -This algorithm multiplies an mp\_int by the $b$'th power of $x$. This is equivalent to multiplying by $\beta^b$. The algorithm differs -from the other algorithms presented so far as it performs the operation in place instead storing the result in a separate location. The -motivation behind this change is due to the way this function is typically used. Algorithms such as mp\_add store the result in an optionally -different third mp\_int because the original inputs are often still required. Algorithm mp\_lshd (\textit{and similarly algorithm mp\_rshd}) is -typically used on values where the original value is no longer required. The algorithm will return success immediately if -$b \le 0$ since the rest of algorithm is only valid when $b > 0$. - -First the destination $a$ is grown as required to accomodate the result. The counters $i$ and $j$ are used to form a \textit{sliding window} over -the digits of $a$ of length $b$. The head of the sliding window is at $i$ (\textit{the leading digit}) and the tail at $j$ (\textit{the trailing digit}). -The loop on step 7 copies the digit from the tail to the head. In each iteration the window is moved down one digit. The last loop on -step 8 sets the lower $b$ digits to zero. - -\newpage -\begin{center} -\begin{figure}[here] -\includegraphics{pics/sliding_window.ps} -\caption{Sliding Window Movement} -\label{pic:sliding_window} -\end{figure} -\end{center} - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_lshd.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The if statement (line 24) ensures that the $b$ variable is greater than zero since we do not interpret negative -shift counts properly. The \textbf{used} count is incremented by $b$ before the copy loop begins. This elminates -the need for an additional variable in the for loop. The variable $top$ (line 42) is an alias -for the leading digit while $bottom$ (line 45) is an alias for the trailing edge. The aliases form a -window of exactly $b$ digits over the input. - -\subsection{Division by $x$} - -Division by powers of $x$ is easily achieved by shifting the digits right and removing any that will end up to the right of the zero'th digit. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_rshd}. \\ -\textbf{Input}. One mp\_int $a$ and an integer $b$ \\ -\textbf{Output}. $a \leftarrow a / \beta^b$ (Divide by $x^b$). \\ -\hline \\ -1. If $b \le 0$ then return. \\ -2. If $a.used \le b$ then do \\ -\hspace{3mm}2.1 Zero $a$. (\textit{mp\_zero}). \\ -\hspace{3mm}2.2 Return. \\ -3. $i \leftarrow 0$ \\ -4. $j \leftarrow b$ \\ -5. for $n$ from 0 to $a.used - b - 1$ do \\ -\hspace{3mm}5.1 $a_i \leftarrow a_j$ \\ -\hspace{3mm}5.2 $i \leftarrow i + 1$ \\ -\hspace{3mm}5.3 $j \leftarrow j + 1$ \\ -6. for $n$ from $a.used - b$ to $a.used - 1$ do \\ -\hspace{3mm}6.1 $a_n \leftarrow 0$ \\ -7. $a.used \leftarrow a.used - b$ \\ -8. Return. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_rshd} -\end{figure} - -\textbf{Algorithm mp\_rshd.} -This algorithm divides the input in place by the $b$'th power of $x$. It is analogous to dividing by a $\beta^b$ but much quicker since -it does not require single precision division. This algorithm does not actually return an error code as it cannot fail. - -If the input $b$ is less than one the algorithm quickly returns without performing any work. If the \textbf{used} count is less than or equal -to the shift count $b$ then it will simply zero the input and return. - -After the trivial cases of inputs have been handled the sliding window is setup. Much like the case of algorithm mp\_lshd a sliding window that -is $b$ digits wide is used to copy the digits. Unlike mp\_lshd the window slides in the opposite direction from the trailing to the leading digit. -Also the digits are copied from the leading to the trailing edge. - -Once the window copy is complete the upper digits must be zeroed and the \textbf{used} count decremented. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_rshd.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The only noteworthy element of this routine is the lack of a return type since it cannot fail. Like mp\_lshd() we -form a sliding window except we copy in the other direction. After the window (line 60) we then zero -the upper digits of the input to make sure the result is correct. - -\section{Powers of Two} - -Now that algorithms for moving single bits as well as whole digits exist algorithms for moving the ``in between'' distances are required. For -example, to quickly multiply by $2^k$ for any $k$ without using a full multiplier algorithm would prove useful. Instead of performing single -shifts $k$ times to achieve a multiplication by $2^{\pm k}$ a mixture of whole digit shifting and partial digit shifting is employed. - -\subsection{Multiplication by Power of Two} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_mul\_2d}. \\ -\textbf{Input}. One mp\_int $a$ and an integer $b$ \\ -\textbf{Output}. $c \leftarrow a \cdot 2^b$. \\ -\hline \\ -1. $c \leftarrow a$. (\textit{mp\_copy}) \\ -2. If $c.alloc < c.used + \lfloor b / lg(\beta) \rfloor + 2$ then grow $c$ accordingly. \\ -3. If the reallocation failed return(\textit{MP\_MEM}). \\ -4. If $b \ge lg(\beta)$ then \\ -\hspace{3mm}4.1 $c \leftarrow c \cdot \beta^{\lfloor b / lg(\beta) \rfloor}$ (\textit{mp\_lshd}). \\ -\hspace{3mm}4.2 If step 4.1 failed return(\textit{MP\_MEM}). \\ -5. $d \leftarrow b \mbox{ (mod }lg(\beta)\mbox{)}$ \\ -6. If $d \ne 0$ then do \\ -\hspace{3mm}6.1 $mask \leftarrow 2^d$ \\ -\hspace{3mm}6.2 $r \leftarrow 0$ \\ -\hspace{3mm}6.3 for $n$ from $0$ to $c.used - 1$ do \\ -\hspace{6mm}6.3.1 $rr \leftarrow c_n >> (lg(\beta) - d) \mbox{ (mod }mask\mbox{)}$ \\ -\hspace{6mm}6.3.2 $c_n \leftarrow (c_n << d) + r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{6mm}6.3.3 $r \leftarrow rr$ \\ -\hspace{3mm}6.4 If $r > 0$ then do \\ -\hspace{6mm}6.4.1 $c_{c.used} \leftarrow r$ \\ -\hspace{6mm}6.4.2 $c.used \leftarrow c.used + 1$ \\ -7. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_mul\_2d} -\end{figure} - -\textbf{Algorithm mp\_mul\_2d.} -This algorithm multiplies $a$ by $2^b$ and stores the result in $c$. The algorithm uses algorithm mp\_lshd and a derivative of algorithm mp\_mul\_2 to -quickly compute the product. - -First the algorithm will multiply $a$ by $x^{\lfloor b / lg(\beta) \rfloor}$ which will ensure that the remainder multiplicand is less than -$\beta$. For example, if $b = 37$ and $\beta = 2^{28}$ then this step will multiply by $x$ leaving a multiplication by $2^{37 - 28} = 2^{9}$ -left. - -After the digits have been shifted appropriately at most $lg(\beta) - 1$ shifts are left to perform. Step 5 calculates the number of remaining shifts -required. If it is non-zero a modified shift loop is used to calculate the remaining product. -Essentially the loop is a generic version of algorithm mp\_mul\_2 designed to handle any shift count in the range $1 \le x < lg(\beta)$. The $mask$ -variable is used to extract the upper $d$ bits to form the carry for the next iteration. - -This algorithm is loosely measured as a $O(2n)$ algorithm which means that if the input is $n$-digits that it takes $2n$ ``time'' to -complete. It is possible to optimize this algorithm down to a $O(n)$ algorithm at a cost of making the algorithm slightly harder to follow. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_mul\_2d.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The shifting is performed in--place which means the first step (line 25) is to copy the input to the -destination. We avoid calling mp\_copy() by making sure the mp\_ints are different. The destination then -has to be grown (line 32) to accomodate the result. - -If the shift count $b$ is larger than $lg(\beta)$ then a call to mp\_lshd() is used to handle all of the multiples -of $lg(\beta)$. Leaving only a remaining shift of $lg(\beta) - 1$ or fewer bits left. Inside the actual shift -loop (lines 46 to 76) we make use of pre--computed values $shift$ and $mask$. These are used to -extract the carry bit(s) to pass into the next iteration of the loop. The $r$ and $rr$ variables form a -chain between consecutive iterations to propagate the carry. - -\subsection{Division by Power of Two} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_div\_2d}. \\ -\textbf{Input}. One mp\_int $a$ and an integer $b$ \\ -\textbf{Output}. $c \leftarrow \lfloor a / 2^b \rfloor, d \leftarrow a \mbox{ (mod }2^b\mbox{)}$. \\ -\hline \\ -1. If $b \le 0$ then do \\ -\hspace{3mm}1.1 $c \leftarrow a$ (\textit{mp\_copy}) \\ -\hspace{3mm}1.2 $d \leftarrow 0$ (\textit{mp\_zero}) \\ -\hspace{3mm}1.3 Return(\textit{MP\_OKAY}). \\ -2. $c \leftarrow a$ \\ -3. $d \leftarrow a \mbox{ (mod }2^b\mbox{)}$ (\textit{mp\_mod\_2d}) \\ -4. If $b \ge lg(\beta)$ then do \\ -\hspace{3mm}4.1 $c \leftarrow \lfloor c/\beta^{\lfloor b/lg(\beta) \rfloor} \rfloor$ (\textit{mp\_rshd}). \\ -5. $k \leftarrow b \mbox{ (mod }lg(\beta)\mbox{)}$ \\ -6. If $k \ne 0$ then do \\ -\hspace{3mm}6.1 $mask \leftarrow 2^k$ \\ -\hspace{3mm}6.2 $r \leftarrow 0$ \\ -\hspace{3mm}6.3 for $n$ from $c.used - 1$ to $0$ do \\ -\hspace{6mm}6.3.1 $rr \leftarrow c_n \mbox{ (mod }mask\mbox{)}$ \\ -\hspace{6mm}6.3.2 $c_n \leftarrow (c_n >> k) + (r << (lg(\beta) - k))$ \\ -\hspace{6mm}6.3.3 $r \leftarrow rr$ \\ -7. Clamp excess digits of $c$. (\textit{mp\_clamp}) \\ -8. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_div\_2d} -\end{figure} - -\textbf{Algorithm mp\_div\_2d.} -This algorithm will divide an input $a$ by $2^b$ and produce the quotient and remainder. The algorithm is designed much like algorithm -mp\_mul\_2d by first using whole digit shifts then single precision shifts. This algorithm will also produce the remainder of the division -by using algorithm mp\_mod\_2d. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_div\_2d.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The implementation of algorithm mp\_div\_2d is slightly different than the algorithm specifies. The remainder $d$ may be optionally -ignored by passing \textbf{NULL} as the pointer to the mp\_int variable. The temporary mp\_int variable $t$ is used to hold the -result of the remainder operation until the end. This allows $d$ and $a$ to represent the same mp\_int without modifying $a$ before -the quotient is obtained. - -The remainder of the source code is essentially the same as the source code for mp\_mul\_2d. The only significant difference is -the direction of the shifts. - -\subsection{Remainder of Division by Power of Two} - -The last algorithm in the series of polynomial basis power of two algorithms is calculating the remainder of division by $2^b$. This -algorithm benefits from the fact that in twos complement arithmetic $a \mbox{ (mod }2^b\mbox{)}$ is the same as $a$ AND $2^b - 1$. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_mod\_2d}. \\ -\textbf{Input}. One mp\_int $a$ and an integer $b$ \\ -\textbf{Output}. $c \leftarrow a \mbox{ (mod }2^b\mbox{)}$. \\ -\hline \\ -1. If $b \le 0$ then do \\ -\hspace{3mm}1.1 $c \leftarrow 0$ (\textit{mp\_zero}) \\ -\hspace{3mm}1.2 Return(\textit{MP\_OKAY}). \\ -2. If $b > a.used \cdot lg(\beta)$ then do \\ -\hspace{3mm}2.1 $c \leftarrow a$ (\textit{mp\_copy}) \\ -\hspace{3mm}2.2 Return the result of step 2.1. \\ -3. $c \leftarrow a$ \\ -4. If step 3 failed return(\textit{MP\_MEM}). \\ -5. for $n$ from $\lceil b / lg(\beta) \rceil$ to $c.used$ do \\ -\hspace{3mm}5.1 $c_n \leftarrow 0$ \\ -6. $k \leftarrow b \mbox{ (mod }lg(\beta)\mbox{)}$ \\ -7. $c_{\lfloor b / lg(\beta) \rfloor} \leftarrow c_{\lfloor b / lg(\beta) \rfloor} \mbox{ (mod }2^{k}\mbox{)}$. \\ -8. Clamp excess digits of $c$. (\textit{mp\_clamp}) \\ -9. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_mod\_2d} -\end{figure} - -\textbf{Algorithm mp\_mod\_2d.} -This algorithm will quickly calculate the value of $a \mbox{ (mod }2^b\mbox{)}$. First if $b$ is less than or equal to zero the -result is set to zero. If $b$ is greater than the number of bits in $a$ then it simply copies $a$ to $c$ and returns. Otherwise, $a$ -is copied to $b$, leading digits are removed and the remaining leading digit is trimed to the exact bit count. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_mod\_2d.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -We first avoid cases of $b \le 0$ by simply mp\_zero()'ing the destination in such cases. Next if $2^b$ is larger -than the input we just mp\_copy() the input and return right away. After this point we know we must actually -perform some work to produce the remainder. - -Recalling that reducing modulo $2^k$ and a binary ``and'' with $2^k - 1$ are numerically equivalent we can quickly reduce -the number. First we zero any digits above the last digit in $2^b$ (line 42). Next we reduce the -leading digit of both (line 46) and then mp\_clamp(). - -\section*{Exercises} -\begin{tabular}{cl} -$\left [ 3 \right ] $ & Devise an algorithm that performs $a \cdot 2^b$ for generic values of $b$ \\ - & in $O(n)$ time. \\ - &\\ -$\left [ 3 \right ] $ & Devise an efficient algorithm to multiply by small low hamming \\ - & weight values such as $3$, $5$ and $9$. Extend it to handle all values \\ - & upto $64$ with a hamming weight less than three. \\ - &\\ -$\left [ 2 \right ] $ & Modify the preceding algorithm to handle values of the form \\ - & $2^k - 1$ as well. \\ - &\\ -$\left [ 3 \right ] $ & Using only algorithms mp\_mul\_2, mp\_div\_2 and mp\_add create an \\ - & algorithm to multiply two integers in roughly $O(2n^2)$ time for \\ - & any $n$-bit input. Note that the time of addition is ignored in the \\ - & calculation. \\ - & \\ -$\left [ 5 \right ] $ & Improve the previous algorithm to have a working time of at most \\ - & $O \left (2^{(k-1)}n + \left ({2n^2 \over k} \right ) \right )$ for an appropriate choice of $k$. Again ignore \\ - & the cost of addition. \\ - & \\ -$\left [ 2 \right ] $ & Devise a chart to find optimal values of $k$ for the previous problem \\ - & for $n = 64 \ldots 1024$ in steps of $64$. \\ - & \\ -$\left [ 2 \right ] $ & Using only algorithms mp\_abs and mp\_sub devise another method for \\ - & calculating the result of a signed comparison. \\ - & -\end{tabular} - -\chapter{Multiplication and Squaring} -\section{The Multipliers} -For most number theoretic problems including certain public key cryptographic algorithms, the ``multipliers'' form the most important subset of -algorithms of any multiple precision integer package. The set of multiplier algorithms include integer multiplication, squaring and modular reduction -where in each of the algorithms single precision multiplication is the dominant operation performed. This chapter will discuss integer multiplication -and squaring, leaving modular reductions for the subsequent chapter. - -The importance of the multiplier algorithms is for the most part driven by the fact that certain popular public key algorithms are based on modular -exponentiation, that is computing $d \equiv a^b \mbox{ (mod }c\mbox{)}$ for some arbitrary choice of $a$, $b$, $c$ and $d$. During a modular -exponentiation the majority\footnote{Roughly speaking a modular exponentiation will spend about 40\% of the time performing modular reductions, -35\% of the time performing squaring and 25\% of the time performing multiplications.} of the processor time is spent performing single precision -multiplications. - -For centuries general purpose multiplication has required a lengthly $O(n^2)$ process, whereby each digit of one multiplicand has to be multiplied -against every digit of the other multiplicand. Traditional long-hand multiplication is based on this process; while the techniques can differ the -overall algorithm used is essentially the same. Only ``recently'' have faster algorithms been studied. First Karatsuba multiplication was discovered in -1962. This algorithm can multiply two numbers with considerably fewer single precision multiplications when compared to the long-hand approach. -This technique led to the discovery of polynomial basis algorithms (\textit{good reference?}) and subquently Fourier Transform based solutions. - -\section{Multiplication} -\subsection{The Baseline Multiplication} -\label{sec:basemult} -\index{baseline multiplication} -Computing the product of two integers in software can be achieved using a trivial adaptation of the standard $O(n^2)$ long-hand multiplication -algorithm that school children are taught. The algorithm is considered an $O(n^2)$ algorithm since for two $n$-digit inputs $n^2$ single precision -multiplications are required. More specifically for a $m$ and $n$ digit input $m \cdot n$ single precision multiplications are required. To -simplify most discussions, it will be assumed that the inputs have comparable number of digits. - -The ``baseline multiplication'' algorithm is designed to act as the ``catch-all'' algorithm, only to be used when the faster algorithms cannot be -used. This algorithm does not use any particularly interesting optimizations and should ideally be avoided if possible. One important -facet of this algorithm, is that it has been modified to only produce a certain amount of output digits as resolution. The importance of this -modification will become evident during the discussion of Barrett modular reduction. Recall that for a $n$ and $m$ digit input the product -will be at most $n + m$ digits. Therefore, this algorithm can be reduced to a full multiplier by having it produce $n + m$ digits of the product. - -Recall from sub-section 4.2.2 the definition of $\gamma$ as the number of bits in the type \textbf{mp\_digit}. We shall now extend the variable set to -include $\alpha$ which shall represent the number of bits in the type \textbf{mp\_word}. This implies that $2^{\alpha} > 2 \cdot \beta^2$. The -constant $\delta = 2^{\alpha - 2lg(\beta)}$ will represent the maximal weight of any column in a product (\textit{see sub-section 5.2.2 for more information}). - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{s\_mp\_mul\_digs}. \\ -\textbf{Input}. mp\_int $a$, mp\_int $b$ and an integer $digs$ \\ -\textbf{Output}. $c \leftarrow \vert a \vert \cdot \vert b \vert \mbox{ (mod }\beta^{digs}\mbox{)}$. \\ -\hline \\ -1. If min$(a.used, b.used) < \delta$ then do \\ -\hspace{3mm}1.1 Calculate $c = \vert a \vert \cdot \vert b \vert$ by the Comba method (\textit{see algorithm~\ref{fig:COMBAMULT}}). \\ -\hspace{3mm}1.2 Return the result of step 1.1 \\ -\\ -Allocate and initialize a temporary mp\_int. \\ -2. Init $t$ to be of size $digs$ \\ -3. If step 2 failed return(\textit{MP\_MEM}). \\ -4. $t.used \leftarrow digs$ \\ -\\ -Compute the product. \\ -5. for $ix$ from $0$ to $a.used - 1$ do \\ -\hspace{3mm}5.1 $u \leftarrow 0$ \\ -\hspace{3mm}5.2 $pb \leftarrow \mbox{min}(b.used, digs - ix)$ \\ -\hspace{3mm}5.3 If $pb < 1$ then goto step 6. \\ -\hspace{3mm}5.4 for $iy$ from $0$ to $pb - 1$ do \\ -\hspace{6mm}5.4.1 $\hat r \leftarrow t_{iy + ix} + a_{ix} \cdot b_{iy} + u$ \\ -\hspace{6mm}5.4.2 $t_{iy + ix} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{6mm}5.4.3 $u \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -\hspace{3mm}5.5 if $ix + pb < digs$ then do \\ -\hspace{6mm}5.5.1 $t_{ix + pb} \leftarrow u$ \\ -6. Clamp excess digits of $t$. \\ -7. Swap $c$ with $t$ \\ -8. Clear $t$ \\ -9. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm s\_mp\_mul\_digs} -\end{figure} - -\textbf{Algorithm s\_mp\_mul\_digs.} -This algorithm computes the unsigned product of two inputs $a$ and $b$, limited to an output precision of $digs$ digits. While it may seem -a bit awkward to modify the function from its simple $O(n^2)$ description, the usefulness of partial multipliers will arise in a subsequent -algorithm. The algorithm is loosely based on algorithm 14.12 from \cite[pp. 595]{HAC} and is similar to Algorithm M of Knuth \cite[pp. 268]{TAOCPV2}. -Algorithm s\_mp\_mul\_digs differs from these cited references since it can produce a variable output precision regardless of the precision of the -inputs. - -The first thing this algorithm checks for is whether a Comba multiplier can be used instead. If the minimum digit count of either -input is less than $\delta$, then the Comba method may be used instead. After the Comba method is ruled out, the baseline algorithm begins. A -temporary mp\_int variable $t$ is used to hold the intermediate result of the product. This allows the algorithm to be used to -compute products when either $a = c$ or $b = c$ without overwriting the inputs. - -All of step 5 is the infamous $O(n^2)$ multiplication loop slightly modified to only produce upto $digs$ digits of output. The $pb$ variable -is given the count of digits to read from $b$ inside the nested loop. If $pb \le 1$ then no more output digits can be produced and the algorithm -will exit the loop. The best way to think of the loops are as a series of $pb \times 1$ multiplications. That is, in each pass of the -innermost loop $a_{ix}$ is multiplied against $b$ and the result is added (\textit{with an appropriate shift}) to $t$. - -For example, consider multiplying $576$ by $241$. That is equivalent to computing $10^0(1)(576) + 10^1(4)(576) + 10^2(2)(576)$ which is best -visualized in the following table. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{|c|c|c|c|c|c|l|} -\hline && & 5 & 7 & 6 & \\ -\hline $\times$&& & 2 & 4 & 1 & \\ -\hline &&&&&&\\ - && & 5 & 7 & 6 & $10^0(1)(576)$ \\ - &2 & 3 & 6 & 1 & 6 & $10^1(4)(576) + 10^0(1)(576)$ \\ - 1 & 3 & 8 & 8 & 1 & 6 & $10^2(2)(576) + 10^1(4)(576) + 10^0(1)(576)$ \\ -\hline -\end{tabular} -\end{center} -\caption{Long-Hand Multiplication Diagram} -\end{figure} - -Each row of the product is added to the result after being shifted to the left (\textit{multiplied by a power of the radix}) by the appropriate -count. That is in pass $ix$ of the inner loop the product is added starting at the $ix$'th digit of the reult. - -Step 5.4.1 introduces the hat symbol (\textit{e.g. $\hat r$}) which represents a double precision variable. The multiplication on that step -is assumed to be a double wide output single precision multiplication. That is, two single precision variables are multiplied to produce a -double precision result. The step is somewhat optimized from a long-hand multiplication algorithm because the carry from the addition in step -5.4.1 is propagated through the nested loop. If the carry was not propagated immediately it would overflow the single precision digit -$t_{ix+iy}$ and the result would be lost. - -At step 5.5 the nested loop is finished and any carry that was left over should be forwarded. The carry does not have to be added to the $ix+pb$'th -digit since that digit is assumed to be zero at this point. However, if $ix + pb \ge digs$ the carry is not set as it would make the result -exceed the precision requested. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_s\_mp\_mul\_digs.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -First we determine (line 31) if the Comba method can be used first since it's faster. The conditions for -sing the Comba routine are that min$(a.used, b.used) < \delta$ and the number of digits of output is less than -\textbf{MP\_WARRAY}. This new constant is used to control the stack usage in the Comba routines. By default it is -set to $\delta$ but can be reduced when memory is at a premium. - -If we cannot use the Comba method we proceed to setup the baseline routine. We allocate the the destination mp\_int -$t$ (line 37) to the exact size of the output to avoid further re--allocations. At this point we now -begin the $O(n^2)$ loop. - -This implementation of multiplication has the caveat that it can be trimmed to only produce a variable number of -digits as output. In each iteration of the outer loop the $pb$ variable is set (line 49) to the maximum -number of inner loop iterations. - -Inside the inner loop we calculate $\hat r$ as the mp\_word product of the two mp\_digits and the addition of the -carry from the previous iteration. A particularly important observation is that most modern optimizing -C compilers (GCC for instance) can recognize that a $N \times N \rightarrow 2N$ multiplication is all that -is required for the product. In x86 terms for example, this means using the MUL instruction. - -Each digit of the product is stored in turn (line 69) and the carry propagated (line 72) to the -next iteration. - -\subsection{Faster Multiplication by the ``Comba'' Method} - -One of the huge drawbacks of the ``baseline'' algorithms is that at the $O(n^2)$ level the carry must be -computed and propagated upwards. This makes the nested loop very sequential and hard to unroll and implement -in parallel. The ``Comba'' \cite{COMBA} method is named after little known (\textit{in cryptographic venues}) Paul G. -Comba who described a method of implementing fast multipliers that do not require nested carry fixup operations. As an -interesting aside it seems that Paul Barrett describes a similar technique in his 1986 paper \cite{BARRETT} written -five years before. - -At the heart of the Comba technique is once again the long-hand algorithm. Except in this case a slight -twist is placed on how the columns of the result are produced. In the standard long-hand algorithm rows of products -are produced then added together to form the final result. In the baseline algorithm the columns are added together -after each iteration to get the result instantaneously. - -In the Comba algorithm the columns of the result are produced entirely independently of each other. That is at -the $O(n^2)$ level a simple multiplication and addition step is performed. The carries of the columns are propagated -after the nested loop to reduce the amount of work requiored. Succintly the first step of the algorithm is to compute -the product vector $\vec x$ as follows. - -\begin{equation} -\vec x_n = \sum_{i+j = n} a_ib_j, \forall n \in \lbrace 0, 1, 2, \ldots, i + j \rbrace -\end{equation} - -Where $\vec x_n$ is the $n'th$ column of the output vector. Consider the following example which computes the vector $\vec x$ for the multiplication -of $576$ and $241$. - -\newpage\begin{figure}[here] -\begin{small} -\begin{center} -\begin{tabular}{|c|c|c|c|c|c|} - \hline & & 5 & 7 & 6 & First Input\\ - \hline $\times$ & & 2 & 4 & 1 & Second Input\\ -\hline & & $1 \cdot 5 = 5$ & $1 \cdot 7 = 7$ & $1 \cdot 6 = 6$ & First pass \\ - & $4 \cdot 5 = 20$ & $4 \cdot 7+5=33$ & $4 \cdot 6+7=31$ & 6 & Second pass \\ - $2 \cdot 5 = 10$ & $2 \cdot 7 + 20 = 34$ & $2 \cdot 6+33=45$ & 31 & 6 & Third pass \\ -\hline 10 & 34 & 45 & 31 & 6 & Final Result \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Comba Multiplication Diagram} -\end{figure} - -At this point the vector $x = \left < 10, 34, 45, 31, 6 \right >$ is the result of the first step of the Comba multipler. -Now the columns must be fixed by propagating the carry upwards. The resultant vector will have one extra dimension over the input vector which is -congruent to adding a leading zero digit. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Comba Fixup}. \\ -\textbf{Input}. Vector $\vec x$ of dimension $k$ \\ -\textbf{Output}. Vector $\vec x$ such that the carries have been propagated. \\ -\hline \\ -1. for $n$ from $0$ to $k - 1$ do \\ -\hspace{3mm}1.1 $\vec x_{n+1} \leftarrow \vec x_{n+1} + \lfloor \vec x_{n}/\beta \rfloor$ \\ -\hspace{3mm}1.2 $\vec x_{n} \leftarrow \vec x_{n} \mbox{ (mod }\beta\mbox{)}$ \\ -2. Return($\vec x$). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Comba Fixup} -\end{figure} - -With that algorithm and $k = 5$ and $\beta = 10$ the following vector is produced $\vec x= \left < 1, 3, 8, 8, 1, 6 \right >$. In this case -$241 \cdot 576$ is in fact $138816$ and the procedure succeeded. If the algorithm is correct and as will be demonstrated shortly more -efficient than the baseline algorithm why not simply always use this algorithm? - -\subsubsection{Column Weight.} -At the nested $O(n^2)$ level the Comba method adds the product of two single precision variables to each column of the output -independently. A serious obstacle is if the carry is lost, due to lack of precision before the algorithm has a chance to fix -the carries. For example, in the multiplication of two three-digit numbers the third column of output will be the sum of -three single precision multiplications. If the precision of the accumulator for the output digits is less then $3 \cdot (\beta - 1)^2$ then -an overflow can occur and the carry information will be lost. For any $m$ and $n$ digit inputs the maximum weight of any column is -min$(m, n)$ which is fairly obvious. - -The maximum number of terms in any column of a product is known as the ``column weight'' and strictly governs when the algorithm can be used. Recall -from earlier that a double precision type has $\alpha$ bits of resolution and a single precision digit has $lg(\beta)$ bits of precision. Given these -two quantities we must not violate the following - -\begin{equation} -k \cdot \left (\beta - 1 \right )^2 < 2^{\alpha} -\end{equation} - -Which reduces to - -\begin{equation} -k \cdot \left ( \beta^2 - 2\beta + 1 \right ) < 2^{\alpha} -\end{equation} - -Let $\rho = lg(\beta)$ represent the number of bits in a single precision digit. By further re-arrangement of the equation the final solution is -found. - -\begin{equation} -k < {{2^{\alpha}} \over {\left (2^{2\rho} - 2^{\rho + 1} + 1 \right )}} -\end{equation} - -The defaults for LibTomMath are $\beta = 2^{28}$ and $\alpha = 2^{64}$ which means that $k$ is bounded by $k < 257$. In this configuration -the smaller input may not have more than $256$ digits if the Comba method is to be used. This is quite satisfactory for most applications since -$256$ digits would allow for numbers in the range of $0 \le x < 2^{7168}$ which, is much larger than most public key cryptographic algorithms require. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{fast\_s\_mp\_mul\_digs}. \\ -\textbf{Input}. mp\_int $a$, mp\_int $b$ and an integer $digs$ \\ -\textbf{Output}. $c \leftarrow \vert a \vert \cdot \vert b \vert \mbox{ (mod }\beta^{digs}\mbox{)}$. \\ -\hline \\ -Place an array of \textbf{MP\_WARRAY} single precision digits named $W$ on the stack. \\ -1. If $c.alloc < digs$ then grow $c$ to $digs$ digits. (\textit{mp\_grow}) \\ -2. If step 1 failed return(\textit{MP\_MEM}).\\ -\\ -3. $pa \leftarrow \mbox{MIN}(digs, a.used + b.used)$ \\ -\\ -4. $\_ \hat W \leftarrow 0$ \\ -5. for $ix$ from 0 to $pa - 1$ do \\ -\hspace{3mm}5.1 $ty \leftarrow \mbox{MIN}(b.used - 1, ix)$ \\ -\hspace{3mm}5.2 $tx \leftarrow ix - ty$ \\ -\hspace{3mm}5.3 $iy \leftarrow \mbox{MIN}(a.used - tx, ty + 1)$ \\ -\hspace{3mm}5.4 for $iz$ from 0 to $iy - 1$ do \\ -\hspace{6mm}5.4.1 $\_ \hat W \leftarrow \_ \hat W + a_{tx+iy}b_{ty-iy}$ \\ -\hspace{3mm}5.5 $W_{ix} \leftarrow \_ \hat W (\mbox{mod }\beta)$\\ -\hspace{3mm}5.6 $\_ \hat W \leftarrow \lfloor \_ \hat W / \beta \rfloor$ \\ -\\ -6. $oldused \leftarrow c.used$ \\ -7. $c.used \leftarrow digs$ \\ -8. for $ix$ from $0$ to $pa$ do \\ -\hspace{3mm}8.1 $c_{ix} \leftarrow W_{ix}$ \\ -9. for $ix$ from $pa + 1$ to $oldused - 1$ do \\ -\hspace{3mm}9.1 $c_{ix} \leftarrow 0$ \\ -\\ -10. Clamp $c$. \\ -11. Return MP\_OKAY. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm fast\_s\_mp\_mul\_digs} -\label{fig:COMBAMULT} -\end{figure} - -\textbf{Algorithm fast\_s\_mp\_mul\_digs.} -This algorithm performs the unsigned multiplication of $a$ and $b$ using the Comba method limited to $digs$ digits of precision. - -The outer loop of this algorithm is more complicated than that of the baseline multiplier. This is because on the inside of the -loop we want to produce one column per pass. This allows the accumulator $\_ \hat W$ to be placed in CPU registers and -reduce the memory bandwidth to two \textbf{mp\_digit} reads per iteration. - -The $ty$ variable is set to the minimum count of $ix$ or the number of digits in $b$. That way if $a$ has more digits than -$b$ this will be limited to $b.used - 1$. The $tx$ variable is set to the to the distance past $b.used$ the variable -$ix$ is. This is used for the immediately subsequent statement where we find $iy$. - -The variable $iy$ is the minimum digits we can read from either $a$ or $b$ before running out. Computing one column at a time -means we have to scan one integer upwards and the other downwards. $a$ starts at $tx$ and $b$ starts at $ty$. In each -pass we are producing the $ix$'th output column and we note that $tx + ty = ix$. As we move $tx$ upwards we have to -move $ty$ downards so the equality remains valid. The $iy$ variable is the number of iterations until -$tx \ge a.used$ or $ty < 0$ occurs. - -After every inner pass we store the lower half of the accumulator into $W_{ix}$ and then propagate the carry of the accumulator -into the next round by dividing $\_ \hat W$ by $\beta$. - -To measure the benefits of the Comba method over the baseline method consider the number of operations that are required. If the -cost in terms of time of a multiply and addition is $p$ and the cost of a carry propagation is $q$ then a baseline multiplication would require -$O \left ((p + q)n^2 \right )$ time to multiply two $n$-digit numbers. The Comba method requires only $O(pn^2 + qn)$ time, however in practice, -the speed increase is actually much more. With $O(n)$ space the algorithm can be reduced to $O(pn + qn)$ time by implementing the $n$ multiply -and addition operations in the nested loop in parallel. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_fast\_s\_mp\_mul\_digs.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -As per the pseudo--code we first calculate $pa$ (line 48) as the number of digits to output. Next we begin the outer loop -to produce the individual columns of the product. We use the two aliases $tmpx$ and $tmpy$ (lines 62, 63) to point -inside the two multiplicands quickly. - -The inner loop (lines 71 to 74) of this implementation is where the tradeoff come into play. Originally this comba -implementation was ``row--major'' which means it adds to each of the columns in each pass. After the outer loop it would then fix -the carries. This was very fast except it had an annoying drawback. You had to read a mp\_word and two mp\_digits and write -one mp\_word per iteration. On processors such as the Athlon XP and P4 this did not matter much since the cache bandwidth -is very high and it can keep the ALU fed with data. It did, however, matter on older and embedded cpus where cache is often -slower and also often doesn't exist. This new algorithm only performs two reads per iteration under the assumption that the -compiler has aliased $\_ \hat W$ to a CPU register. - -After the inner loop we store the current accumulator in $W$ and shift $\_ \hat W$ (lines 77, 80) to forward it as -a carry for the next pass. After the outer loop we use the final carry (line 77) as the last digit of the product. - -\subsection{Polynomial Basis Multiplication} -To break the $O(n^2)$ barrier in multiplication requires a completely different look at integer multiplication. In the following algorithms -the use of polynomial basis representation for two integers $a$ and $b$ as $f(x) = \sum_{i=0}^{n} a_i x^i$ and -$g(x) = \sum_{i=0}^{n} b_i x^i$ respectively, is required. In this system both $f(x)$ and $g(x)$ have $n + 1$ terms and are of the $n$'th degree. - -The product $a \cdot b \equiv f(x)g(x)$ is the polynomial $W(x) = \sum_{i=0}^{2n} w_i x^i$. The coefficients $w_i$ will -directly yield the desired product when $\beta$ is substituted for $x$. The direct solution to solve for the $2n + 1$ coefficients -requires $O(n^2)$ time and would in practice be slower than the Comba technique. - -However, numerical analysis theory indicates that only $2n + 1$ distinct points in $W(x)$ are required to determine the values of the $2n + 1$ unknown -coefficients. This means by finding $\zeta_y = W(y)$ for $2n + 1$ small values of $y$ the coefficients of $W(x)$ can be found with -Gaussian elimination. This technique is also occasionally refered to as the \textit{interpolation technique} (\textit{references please...}) since in -effect an interpolation based on $2n + 1$ points will yield a polynomial equivalent to $W(x)$. - -The coefficients of the polynomial $W(x)$ are unknown which makes finding $W(y)$ for any value of $y$ impossible. However, since -$W(x) = f(x)g(x)$ the equivalent $\zeta_y = f(y) g(y)$ can be used in its place. The benefit of this technique stems from the -fact that $f(y)$ and $g(y)$ are much smaller than either $a$ or $b$ respectively. As a result finding the $2n + 1$ relations required -by multiplying $f(y)g(y)$ involves multiplying integers that are much smaller than either of the inputs. - -When picking points to gather relations there are always three obvious points to choose, $y = 0, 1$ and $ \infty$. The $\zeta_0$ term -is simply the product $W(0) = w_0 = a_0 \cdot b_0$. The $\zeta_1$ term is the product -$W(1) = \left (\sum_{i = 0}^{n} a_i \right ) \left (\sum_{i = 0}^{n} b_i \right )$. The third point $\zeta_{\infty}$ is less obvious but rather -simple to explain. The $2n + 1$'th coefficient of $W(x)$ is numerically equivalent to the most significant column in an integer multiplication. -The point at $\infty$ is used symbolically to represent the most significant column, that is $W(\infty) = w_{2n} = a_nb_n$. Note that the -points at $y = 0$ and $\infty$ yield the coefficients $w_0$ and $w_{2n}$ directly. - -If more points are required they should be of small values and powers of two such as $2^q$ and the related \textit{mirror points} -$\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ for small values of $q$. The term ``mirror point'' stems from the fact that -$\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ can be calculated in the exact opposite fashion as $\zeta_{2^q}$. For -example, when $n = 2$ and $q = 1$ then following two equations are equivalent to the point $\zeta_{2}$ and its mirror. - -\begin{eqnarray} -\zeta_{2} = f(2)g(2) = (4a_2 + 2a_1 + a_0)(4b_2 + 2b_1 + b_0) \nonumber \\ -16 \cdot \zeta_{1 \over 2} = 4f({1\over 2}) \cdot 4g({1 \over 2}) = (a_2 + 2a_1 + 4a_0)(b_2 + 2b_1 + 4b_0) -\end{eqnarray} - -Using such points will allow the values of $f(y)$ and $g(y)$ to be independently calculated using only left shifts. For example, when $n = 2$ the -polynomial $f(2^q)$ is equal to $2^q((2^qa_2) + a_1) + a_0$. This technique of polynomial representation is known as Horner's method. - -As a general rule of the algorithm when the inputs are split into $n$ parts each there are $2n - 1$ multiplications. Each multiplication is of -multiplicands that have $n$ times fewer digits than the inputs. The asymptotic running time of this algorithm is -$O \left ( k^{lg_n(2n - 1)} \right )$ for $k$ digit inputs (\textit{assuming they have the same number of digits}). Figure~\ref{fig:exponent} -summarizes the exponents for various values of $n$. - -\begin{figure} -\begin{center} -\begin{tabular}{|c|c|c|} -\hline \textbf{Split into $n$ Parts} & \textbf{Exponent} & \textbf{Notes}\\ -\hline $2$ & $1.584962501$ & This is Karatsuba Multiplication. \\ -\hline $3$ & $1.464973520$ & This is Toom-Cook Multiplication. \\ -\hline $4$ & $1.403677461$ &\\ -\hline $5$ & $1.365212389$ &\\ -\hline $10$ & $1.278753601$ &\\ -\hline $100$ & $1.149426538$ &\\ -\hline $1000$ & $1.100270931$ &\\ -\hline $10000$ & $1.075252070$ &\\ -\hline -\end{tabular} -\end{center} -\caption{Asymptotic Running Time of Polynomial Basis Multiplication} -\label{fig:exponent} -\end{figure} - -At first it may seem like a good idea to choose $n = 1000$ since the exponent is approximately $1.1$. However, the overhead -of solving for the 2001 terms of $W(x)$ will certainly consume any savings the algorithm could offer for all but exceedingly large -numbers. - -\subsubsection{Cutoff Point} -The polynomial basis multiplication algorithms all require fewer single precision multiplications than a straight Comba approach. However, -the algorithms incur an overhead (\textit{at the $O(n)$ work level}) since they require a system of equations to be solved. This makes the -polynomial basis approach more costly to use with small inputs. - -Let $m$ represent the number of digits in the multiplicands (\textit{assume both multiplicands have the same number of digits}). There exists a -point $y$ such that when $m < y$ the polynomial basis algorithms are more costly than Comba, when $m = y$ they are roughly the same cost and -when $m > y$ the Comba methods are slower than the polynomial basis algorithms. - -The exact location of $y$ depends on several key architectural elements of the computer platform in question. - -\begin{enumerate} -\item The ratio of clock cycles for single precision multiplication versus other simpler operations such as addition, shifting, etc. For example -on the AMD Athlon the ratio is roughly $17 : 1$ while on the Intel P4 it is $29 : 1$. The higher the ratio in favour of multiplication the lower -the cutoff point $y$ will be. - -\item The complexity of the linear system of equations (\textit{for the coefficients of $W(x)$}) is. Generally speaking as the number of splits -grows the complexity grows substantially. Ideally solving the system will only involve addition, subtraction and shifting of integers. This -directly reflects on the ratio previous mentioned. - -\item To a lesser extent memory bandwidth and function call overheads. Provided the values are in the processor cache this is less of an -influence over the cutoff point. - -\end{enumerate} - -A clean cutoff point separation occurs when a point $y$ is found such that all of the cutoff point conditions are met. For example, if the point -is too low then there will be values of $m$ such that $m > y$ and the Comba method is still faster. Finding the cutoff points is fairly simple when -a high resolution timer is available. - -\subsection{Karatsuba Multiplication} -Karatsuba \cite{KARA} multiplication when originally proposed in 1962 was among the first set of algorithms to break the $O(n^2)$ barrier for -general purpose multiplication. Given two polynomial basis representations $f(x) = ax + b$ and $g(x) = cx + d$, Karatsuba proved with -light algebra \cite{KARAP} that the following polynomial is equivalent to multiplication of the two integers the polynomials represent. - -\begin{equation} -f(x) \cdot g(x) = acx^2 + ((a + b)(c + d) - (ac + bd))x + bd -\end{equation} - -Using the observation that $ac$ and $bd$ could be re-used only three half sized multiplications would be required to produce the product. Applying -this algorithm recursively, the work factor becomes $O(n^{lg(3)})$ which is substantially better than the work factor $O(n^2)$ of the Comba technique. It turns -out what Karatsuba did not know or at least did not publish was that this is simply polynomial basis multiplication with the points -$\zeta_0$, $\zeta_{\infty}$ and $\zeta_{1}$. Consider the resultant system of equations. - -\begin{center} -\begin{tabular}{rcrcrcrc} -$\zeta_{0}$ & $=$ & & & & & $w_0$ \\ -$\zeta_{1}$ & $=$ & $w_2$ & $+$ & $w_1$ & $+$ & $w_0$ \\ -$\zeta_{\infty}$ & $=$ & $w_2$ & & & & \\ -\end{tabular} -\end{center} - -By adding the first and last equation to the equation in the middle the term $w_1$ can be isolated and all three coefficients solved for. The simplicity -of this system of equations has made Karatsuba fairly popular. In fact the cutoff point is often fairly low\footnote{With LibTomMath 0.18 it is 70 and 109 digits for the Intel P4 and AMD Athlon respectively.} -making it an ideal algorithm to speed up certain public key cryptosystems such as RSA and Diffie-Hellman. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_karatsuba\_mul}. \\ -\textbf{Input}. mp\_int $a$ and mp\_int $b$ \\ -\textbf{Output}. $c \leftarrow \vert a \vert \cdot \vert b \vert$ \\ -\hline \\ -1. Init the following mp\_int variables: $x0$, $x1$, $y0$, $y1$, $t1$, $x0y0$, $x1y1$.\\ -2. If step 2 failed then return(\textit{MP\_MEM}). \\ -\\ -Split the input. e.g. $a = x1 \cdot \beta^B + x0$ \\ -3. $B \leftarrow \mbox{min}(a.used, b.used)/2$ \\ -4. $x0 \leftarrow a \mbox{ (mod }\beta^B\mbox{)}$ (\textit{mp\_mod\_2d}) \\ -5. $y0 \leftarrow b \mbox{ (mod }\beta^B\mbox{)}$ \\ -6. $x1 \leftarrow \lfloor a / \beta^B \rfloor$ (\textit{mp\_rshd}) \\ -7. $y1 \leftarrow \lfloor b / \beta^B \rfloor$ \\ -\\ -Calculate the three products. \\ -8. $x0y0 \leftarrow x0 \cdot y0$ (\textit{mp\_mul}) \\ -9. $x1y1 \leftarrow x1 \cdot y1$ \\ -10. $t1 \leftarrow x1 + x0$ (\textit{mp\_add}) \\ -11. $x0 \leftarrow y1 + y0$ \\ -12. $t1 \leftarrow t1 \cdot x0$ \\ -\\ -Calculate the middle term. \\ -13. $x0 \leftarrow x0y0 + x1y1$ \\ -14. $t1 \leftarrow t1 - x0$ (\textit{s\_mp\_sub}) \\ -\\ -Calculate the final product. \\ -15. $t1 \leftarrow t1 \cdot \beta^B$ (\textit{mp\_lshd}) \\ -16. $x1y1 \leftarrow x1y1 \cdot \beta^{2B}$ \\ -17. $t1 \leftarrow x0y0 + t1$ \\ -18. $c \leftarrow t1 + x1y1$ \\ -19. Clear all of the temporary variables. \\ -20. Return(\textit{MP\_OKAY}).\\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_karatsuba\_mul} -\end{figure} - -\textbf{Algorithm mp\_karatsuba\_mul.} -This algorithm computes the unsigned product of two inputs using the Karatsuba multiplication algorithm. It is loosely based on the description -from Knuth \cite[pp. 294-295]{TAOCPV2}. - -\index{radix point} -In order to split the two inputs into their respective halves, a suitable \textit{radix point} must be chosen. The radix point chosen must -be used for both of the inputs meaning that it must be smaller than the smallest input. Step 3 chooses the radix point $B$ as half of the -smallest input \textbf{used} count. After the radix point is chosen the inputs are split into lower and upper halves. Step 4 and 5 -compute the lower halves. Step 6 and 7 computer the upper halves. - -After the halves have been computed the three intermediate half-size products must be computed. Step 8 and 9 compute the trivial products -$x0 \cdot y0$ and $x1 \cdot y1$. The mp\_int $x0$ is used as a temporary variable after $x1 + x0$ has been computed. By using $x0$ instead -of an additional temporary variable, the algorithm can avoid an addition memory allocation operation. - -The remaining steps 13 through 18 compute the Karatsuba polynomial through a variety of digit shifting and addition operations. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_karatsuba\_mul.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The new coding element in this routine, not seen in previous routines, is the usage of goto statements. The conventional -wisdom is that goto statements should be avoided. This is generally true, however when every single function call can fail, it makes sense -to handle error recovery with a single piece of code. Lines 62 to 76 handle initializing all of the temporary variables -required. Note how each of the if statements goes to a different label in case of failure. This allows the routine to correctly free only -the temporaries that have been successfully allocated so far. - -The temporary variables are all initialized using the mp\_init\_size routine since they are expected to be large. This saves the -additional reallocation that would have been necessary. Also $x0$, $x1$, $y0$ and $y1$ have to be able to hold at least their respective -number of digits for the next section of code. - -The first algebraic portion of the algorithm is to split the two inputs into their halves. However, instead of using mp\_mod\_2d and mp\_rshd -to extract the halves, the respective code has been placed inline within the body of the function. To initialize the halves, the \textbf{used} and -\textbf{sign} members are copied first. The first for loop on line 96 copies the lower halves. Since they are both the same magnitude it -is simpler to calculate both lower halves in a single loop. The for loop on lines 102 and 107 calculate the upper halves $x1$ and -$y1$ respectively. - -By inlining the calculation of the halves, the Karatsuba multiplier has a slightly lower overhead and can be used for smaller magnitude inputs. - -When line 151 is reached, the algorithm has completed succesfully. The ``error status'' variable $err$ is set to \textbf{MP\_OKAY} so that -the same code that handles errors can be used to clear the temporary variables and return. - -\subsection{Toom-Cook $3$-Way Multiplication} -Toom-Cook $3$-Way \cite{TOOM} multiplication is essentially the polynomial basis algorithm for $n = 2$ except that the points are -chosen such that $\zeta$ is easy to compute and the resulting system of equations easy to reduce. Here, the points $\zeta_{0}$, -$16 \cdot \zeta_{1 \over 2}$, $\zeta_1$, $\zeta_2$ and $\zeta_{\infty}$ make up the five required points to solve for the coefficients -of the $W(x)$. - -With the five relations that Toom-Cook specifies, the following system of equations is formed. - -\begin{center} -\begin{tabular}{rcrcrcrcrcr} -$\zeta_0$ & $=$ & $0w_4$ & $+$ & $0w_3$ & $+$ & $0w_2$ & $+$ & $0w_1$ & $+$ & $1w_0$ \\ -$16 \cdot \zeta_{1 \over 2}$ & $=$ & $1w_4$ & $+$ & $2w_3$ & $+$ & $4w_2$ & $+$ & $8w_1$ & $+$ & $16w_0$ \\ -$\zeta_1$ & $=$ & $1w_4$ & $+$ & $1w_3$ & $+$ & $1w_2$ & $+$ & $1w_1$ & $+$ & $1w_0$ \\ -$\zeta_2$ & $=$ & $16w_4$ & $+$ & $8w_3$ & $+$ & $4w_2$ & $+$ & $2w_1$ & $+$ & $1w_0$ \\ -$\zeta_{\infty}$ & $=$ & $1w_4$ & $+$ & $0w_3$ & $+$ & $0w_2$ & $+$ & $0w_1$ & $+$ & $0w_0$ \\ -\end{tabular} -\end{center} - -A trivial solution to this matrix requires $12$ subtractions, two multiplications by a small power of two, two divisions by a small power -of two, two divisions by three and one multiplication by three. All of these $19$ sub-operations require less than quadratic time, meaning that -the algorithm can be faster than a baseline multiplication. However, the greater complexity of this algorithm places the cutoff point -(\textbf{TOOM\_MUL\_CUTOFF}) where Toom-Cook becomes more efficient much higher than the Karatsuba cutoff point. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_toom\_mul}. \\ -\textbf{Input}. mp\_int $a$ and mp\_int $b$ \\ -\textbf{Output}. $c \leftarrow a \cdot b $ \\ -\hline \\ -Split $a$ and $b$ into three pieces. E.g. $a = a_2 \beta^{2k} + a_1 \beta^{k} + a_0$ \\ -1. $k \leftarrow \lfloor \mbox{min}(a.used, b.used) / 3 \rfloor$ \\ -2. $a_0 \leftarrow a \mbox{ (mod }\beta^{k}\mbox{)}$ \\ -3. $a_1 \leftarrow \lfloor a / \beta^k \rfloor$, $a_1 \leftarrow a_1 \mbox{ (mod }\beta^{k}\mbox{)}$ \\ -4. $a_2 \leftarrow \lfloor a / \beta^{2k} \rfloor$, $a_2 \leftarrow a_2 \mbox{ (mod }\beta^{k}\mbox{)}$ \\ -5. $b_0 \leftarrow a \mbox{ (mod }\beta^{k}\mbox{)}$ \\ -6. $b_1 \leftarrow \lfloor a / \beta^k \rfloor$, $b_1 \leftarrow b_1 \mbox{ (mod }\beta^{k}\mbox{)}$ \\ -7. $b_2 \leftarrow \lfloor a / \beta^{2k} \rfloor$, $b_2 \leftarrow b_2 \mbox{ (mod }\beta^{k}\mbox{)}$ \\ -\\ -Find the five equations for $w_0, w_1, ..., w_4$. \\ -8. $w_0 \leftarrow a_0 \cdot b_0$ \\ -9. $w_4 \leftarrow a_2 \cdot b_2$ \\ -10. $tmp_1 \leftarrow 2 \cdot a_0$, $tmp_1 \leftarrow a_1 + tmp_1$, $tmp_1 \leftarrow 2 \cdot tmp_1$, $tmp_1 \leftarrow tmp_1 + a_2$ \\ -11. $tmp_2 \leftarrow 2 \cdot b_0$, $tmp_2 \leftarrow b_1 + tmp_2$, $tmp_2 \leftarrow 2 \cdot tmp_2$, $tmp_2 \leftarrow tmp_2 + b_2$ \\ -12. $w_1 \leftarrow tmp_1 \cdot tmp_2$ \\ -13. $tmp_1 \leftarrow 2 \cdot a_2$, $tmp_1 \leftarrow a_1 + tmp_1$, $tmp_1 \leftarrow 2 \cdot tmp_1$, $tmp_1 \leftarrow tmp_1 + a_0$ \\ -14. $tmp_2 \leftarrow 2 \cdot b_2$, $tmp_2 \leftarrow b_1 + tmp_2$, $tmp_2 \leftarrow 2 \cdot tmp_2$, $tmp_2 \leftarrow tmp_2 + b_0$ \\ -15. $w_3 \leftarrow tmp_1 \cdot tmp_2$ \\ -16. $tmp_1 \leftarrow a_0 + a_1$, $tmp_1 \leftarrow tmp_1 + a_2$, $tmp_2 \leftarrow b_0 + b_1$, $tmp_2 \leftarrow tmp_2 + b_2$ \\ -17. $w_2 \leftarrow tmp_1 \cdot tmp_2$ \\ -\\ -Continued on the next page.\\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_toom\_mul} -\end{figure} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_toom\_mul} (continued). \\ -\textbf{Input}. mp\_int $a$ and mp\_int $b$ \\ -\textbf{Output}. $c \leftarrow a \cdot b $ \\ -\hline \\ -Now solve the system of equations. \\ -18. $w_1 \leftarrow w_4 - w_1$, $w_3 \leftarrow w_3 - w_0$ \\ -19. $w_1 \leftarrow \lfloor w_1 / 2 \rfloor$, $w_3 \leftarrow \lfloor w_3 / 2 \rfloor$ \\ -20. $w_2 \leftarrow w_2 - w_0$, $w_2 \leftarrow w_2 - w_4$ \\ -21. $w_1 \leftarrow w_1 - w_2$, $w_3 \leftarrow w_3 - w_2$ \\ -22. $tmp_1 \leftarrow 8 \cdot w_0$, $w_1 \leftarrow w_1 - tmp_1$, $tmp_1 \leftarrow 8 \cdot w_4$, $w_3 \leftarrow w_3 - tmp_1$ \\ -23. $w_2 \leftarrow 3 \cdot w_2$, $w_2 \leftarrow w_2 - w_1$, $w_2 \leftarrow w_2 - w_3$ \\ -24. $w_1 \leftarrow w_1 - w_2$, $w_3 \leftarrow w_3 - w_2$ \\ -25. $w_1 \leftarrow \lfloor w_1 / 3 \rfloor, w_3 \leftarrow \lfloor w_3 / 3 \rfloor$ \\ -\\ -Now substitute $\beta^k$ for $x$ by shifting $w_0, w_1, ..., w_4$. \\ -26. for $n$ from $1$ to $4$ do \\ -\hspace{3mm}26.1 $w_n \leftarrow w_n \cdot \beta^{nk}$ \\ -27. $c \leftarrow w_0 + w_1$, $c \leftarrow c + w_2$, $c \leftarrow c + w_3$, $c \leftarrow c + w_4$ \\ -28. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_toom\_mul (continued)} -\end{figure} - -\textbf{Algorithm mp\_toom\_mul.} -This algorithm computes the product of two mp\_int variables $a$ and $b$ using the Toom-Cook approach. Compared to the Karatsuba multiplication, this -algorithm has a lower asymptotic running time of approximately $O(n^{1.464})$ but at an obvious cost in overhead. In this -description, several statements have been compounded to save space. The intention is that the statements are executed from left to right across -any given step. - -The two inputs $a$ and $b$ are first split into three $k$-digit integers $a_0, a_1, a_2$ and $b_0, b_1, b_2$ respectively. From these smaller -integers the coefficients of the polynomial basis representations $f(x)$ and $g(x)$ are known and can be used to find the relations required. - -The first two relations $w_0$ and $w_4$ are the points $\zeta_{0}$ and $\zeta_{\infty}$ respectively. The relation $w_1, w_2$ and $w_3$ correspond -to the points $16 \cdot \zeta_{1 \over 2}, \zeta_{2}$ and $\zeta_{1}$ respectively. These are found using logical shifts to independently find -$f(y)$ and $g(y)$ which significantly speeds up the algorithm. - -After the five relations $w_0, w_1, \ldots, w_4$ have been computed, the system they represent must be solved in order for the unknown coefficients -$w_1, w_2$ and $w_3$ to be isolated. The steps 18 through 25 perform the system reduction required as previously described. Each step of -the reduction represents the comparable matrix operation that would be performed had this been performed by pencil. For example, step 18 indicates -that row $1$ must be subtracted from row $4$ and simultaneously row $0$ subtracted from row $3$. - -Once the coeffients have been isolated, the polynomial $W(x) = \sum_{i=0}^{2n} w_i x^i$ is known. By substituting $\beta^{k}$ for $x$, the integer -result $a \cdot b$ is produced. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_toom\_mul.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The first obvious thing to note is that this algorithm is complicated. The complexity is worth it if you are multiplying very -large numbers. For example, a 10,000 digit multiplication takes approximaly 99,282,205 fewer single precision multiplications with -Toom--Cook than a Comba or baseline approach (this is a savings of more than 99$\%$). For most ``crypto'' sized numbers this -algorithm is not practical as Karatsuba has a much lower cutoff point. - -First we split $a$ and $b$ into three roughly equal portions. This has been accomplished (lines 41 to 70) with -combinations of mp\_rshd() and mp\_mod\_2d() function calls. At this point $a = a2 \cdot \beta^2 + a1 \cdot \beta + a0$ and similiarly -for $b$. - -Next we compute the five points $w0, w1, w2, w3$ and $w4$. Recall that $w0$ and $w4$ can be computed directly from the portions so -we get those out of the way first (lines 73 and 78). Next we compute $w1, w2$ and $w3$ using Horners method. - -After this point we solve for the actual values of $w1, w2$ and $w3$ by reducing the $5 \times 5$ system which is relatively -straight forward. - -\subsection{Signed Multiplication} -Now that algorithms to handle multiplications of every useful dimensions have been developed, a rather simple finishing touch is required. So far all -of the multiplication algorithms have been unsigned multiplications which leaves only a signed multiplication algorithm to be established. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_mul}. \\ -\textbf{Input}. mp\_int $a$ and mp\_int $b$ \\ -\textbf{Output}. $c \leftarrow a \cdot b$ \\ -\hline \\ -1. If $a.sign = b.sign$ then \\ -\hspace{3mm}1.1 $sign = MP\_ZPOS$ \\ -2. else \\ -\hspace{3mm}2.1 $sign = MP\_ZNEG$ \\ -3. If min$(a.used, b.used) \ge TOOM\_MUL\_CUTOFF$ then \\ -\hspace{3mm}3.1 $c \leftarrow a \cdot b$ using algorithm mp\_toom\_mul \\ -4. else if min$(a.used, b.used) \ge KARATSUBA\_MUL\_CUTOFF$ then \\ -\hspace{3mm}4.1 $c \leftarrow a \cdot b$ using algorithm mp\_karatsuba\_mul \\ -5. else \\ -\hspace{3mm}5.1 $digs \leftarrow a.used + b.used + 1$ \\ -\hspace{3mm}5.2 If $digs < MP\_ARRAY$ and min$(a.used, b.used) \le \delta$ then \\ -\hspace{6mm}5.2.1 $c \leftarrow a \cdot b \mbox{ (mod }\beta^{digs}\mbox{)}$ using algorithm fast\_s\_mp\_mul\_digs. \\ -\hspace{3mm}5.3 else \\ -\hspace{6mm}5.3.1 $c \leftarrow a \cdot b \mbox{ (mod }\beta^{digs}\mbox{)}$ using algorithm s\_mp\_mul\_digs. \\ -6. $c.sign \leftarrow sign$ \\ -7. Return the result of the unsigned multiplication performed. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_mul} -\end{figure} - -\textbf{Algorithm mp\_mul.} -This algorithm performs the signed multiplication of two inputs. It will make use of any of the three unsigned multiplication algorithms -available when the input is of appropriate size. The \textbf{sign} of the result is not set until the end of the algorithm since algorithm -s\_mp\_mul\_digs will clear it. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_mul.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The implementation is rather simplistic and is not particularly noteworthy. Line 22 computes the sign of the result using the ``?'' -operator from the C programming language. Line 48 computes $\delta$ using the fact that $1 << k$ is equal to $2^k$. - -\section{Squaring} -\label{sec:basesquare} - -Squaring is a special case of multiplication where both multiplicands are equal. At first it may seem like there is no significant optimization -available but in fact there is. Consider the multiplication of $576$ against $241$. In total there will be nine single precision multiplications -performed which are $1\cdot 6$, $1 \cdot 7$, $1 \cdot 5$, $4 \cdot 6$, $4 \cdot 7$, $4 \cdot 5$, $2 \cdot 6$, $2 \cdot 7$ and $2 \cdot 5$. Now consider -the multiplication of $123$ against $123$. The nine products are $3 \cdot 3$, $3 \cdot 2$, $3 \cdot 1$, $2 \cdot 3$, $2 \cdot 2$, $2 \cdot 1$, -$1 \cdot 3$, $1 \cdot 2$ and $1 \cdot 1$. On closer inspection some of the products are equivalent. For example, $3 \cdot 2 = 2 \cdot 3$ -and $3 \cdot 1 = 1 \cdot 3$. - -For any $n$-digit input, there are ${{\left (n^2 + n \right)}\over 2}$ possible unique single precision multiplications required compared to the $n^2$ -required for multiplication. The following diagram gives an example of the operations required. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{ccccc|c} -&&1&2&3&\\ -$\times$ &&1&2&3&\\ -\hline && $3 \cdot 1$ & $3 \cdot 2$ & $3 \cdot 3$ & Row 0\\ - & $2 \cdot 1$ & $2 \cdot 2$ & $2 \cdot 3$ && Row 1 \\ - $1 \cdot 1$ & $1 \cdot 2$ & $1 \cdot 3$ &&& Row 2 \\ -\end{tabular} -\end{center} -\caption{Squaring Optimization Diagram} -\end{figure} - -Starting from zero and numbering the columns from right to left a very simple pattern becomes obvious. For the purposes of this discussion let $x$ -represent the number being squared. The first observation is that in row $k$ the $2k$'th column of the product has a $\left (x_k \right)^2$ term in it. - -The second observation is that every column $j$ in row $k$ where $j \ne 2k$ is part of a double product. Every non-square term of a column will -appear twice hence the name ``double product''. Every odd column is made up entirely of double products. In fact every column is made up of double -products and at most one square (\textit{see the exercise section}). - -The third and final observation is that for row $k$ the first unique non-square term, that is, one that hasn't already appeared in an earlier row, -occurs at column $2k + 1$. For example, on row $1$ of the previous squaring, column one is part of the double product with column one from row zero. -Column two of row one is a square and column three is the first unique column. - -\subsection{The Baseline Squaring Algorithm} -The baseline squaring algorithm is meant to be a catch-all squaring algorithm. It will handle any of the input sizes that the faster routines -will not handle. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{s\_mp\_sqr}. \\ -\textbf{Input}. mp\_int $a$ \\ -\textbf{Output}. $b \leftarrow a^2$ \\ -\hline \\ -1. Init a temporary mp\_int of at least $2 \cdot a.used +1$ digits. (\textit{mp\_init\_size}) \\ -2. If step 1 failed return(\textit{MP\_MEM}) \\ -3. $t.used \leftarrow 2 \cdot a.used + 1$ \\ -4. For $ix$ from 0 to $a.used - 1$ do \\ -\hspace{3mm}Calculate the square. \\ -\hspace{3mm}4.1 $\hat r \leftarrow t_{2ix} + \left (a_{ix} \right )^2$ \\ -\hspace{3mm}4.2 $t_{2ix} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}Calculate the double products after the square. \\ -\hspace{3mm}4.3 $u \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -\hspace{3mm}4.4 For $iy$ from $ix + 1$ to $a.used - 1$ do \\ -\hspace{6mm}4.4.1 $\hat r \leftarrow 2 \cdot a_{ix}a_{iy} + t_{ix + iy} + u$ \\ -\hspace{6mm}4.4.2 $t_{ix + iy} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{6mm}4.4.3 $u \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -\hspace{3mm}Set the last carry. \\ -\hspace{3mm}4.5 While $u > 0$ do \\ -\hspace{6mm}4.5.1 $iy \leftarrow iy + 1$ \\ -\hspace{6mm}4.5.2 $\hat r \leftarrow t_{ix + iy} + u$ \\ -\hspace{6mm}4.5.3 $t_{ix + iy} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{6mm}4.5.4 $u \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -5. Clamp excess digits of $t$. (\textit{mp\_clamp}) \\ -6. Exchange $b$ and $t$. \\ -7. Clear $t$ (\textit{mp\_clear}) \\ -8. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm s\_mp\_sqr} -\end{figure} - -\textbf{Algorithm s\_mp\_sqr.} -This algorithm computes the square of an input using the three observations on squaring. It is based fairly faithfully on algorithm 14.16 of HAC -\cite[pp.596-597]{HAC}. Similar to algorithm s\_mp\_mul\_digs, a temporary mp\_int is allocated to hold the result of the squaring. This allows the -destination mp\_int to be the same as the source mp\_int. - -The outer loop of this algorithm begins on step 4. It is best to think of the outer loop as walking down the rows of the partial results, while -the inner loop computes the columns of the partial result. Step 4.1 and 4.2 compute the square term for each row, and step 4.3 and 4.4 propagate -the carry and compute the double products. - -The requirement that a mp\_word be able to represent the range $0 \le x < 2 \beta^2$ arises from this -very algorithm. The product $a_{ix}a_{iy}$ will lie in the range $0 \le x \le \beta^2 - 2\beta + 1$ which is obviously less than $\beta^2$ meaning that -when it is multiplied by two, it can be properly represented by a mp\_word. - -Similar to algorithm s\_mp\_mul\_digs, after every pass of the inner loop, the destination is correctly set to the sum of all of the partial -results calculated so far. This involves expensive carry propagation which will be eliminated in the next algorithm. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_s\_mp\_sqr.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Inside the outer loop (line 34) the square term is calculated on line 37. The carry (line 44) has been -extracted from the mp\_word accumulator using a right shift. Aliases for $a_{ix}$ and $t_{ix+iy}$ are initialized -(lines 47 and 50) to simplify the inner loop. The doubling is performed using two -additions (line 59) since it is usually faster than shifting, if not at least as fast. - -The important observation is that the inner loop does not begin at $iy = 0$ like for multiplication. As such the inner loops -get progressively shorter as the algorithm proceeds. This is what leads to the savings compared to using a multiplication to -square a number. - -\subsection{Faster Squaring by the ``Comba'' Method} -A major drawback to the baseline method is the requirement for single precision shifting inside the $O(n^2)$ nested loop. Squaring has an additional -drawback that it must double the product inside the inner loop as well. As for multiplication, the Comba technique can be used to eliminate these -performance hazards. - -The first obvious solution is to make an array of mp\_words which will hold all of the columns. This will indeed eliminate all of the carry -propagation operations from the inner loop. However, the inner product must still be doubled $O(n^2)$ times. The solution stems from the simple fact -that $2a + 2b + 2c = 2(a + b + c)$. That is the sum of all of the double products is equal to double the sum of all the products. For example, -$ab + ba + ac + ca = 2ab + 2ac = 2(ab + ac)$. - -However, we cannot simply double all of the columns, since the squares appear only once per row. The most practical solution is to have two -mp\_word arrays. One array will hold the squares and the other array will hold the double products. With both arrays the doubling and -carry propagation can be moved to a $O(n)$ work level outside the $O(n^2)$ level. In this case, we have an even simpler solution in mind. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{fast\_s\_mp\_sqr}. \\ -\textbf{Input}. mp\_int $a$ \\ -\textbf{Output}. $b \leftarrow a^2$ \\ -\hline \\ -Place an array of \textbf{MP\_WARRAY} mp\_digits named $W$ on the stack. \\ -1. If $b.alloc < 2a.used + 1$ then grow $b$ to $2a.used + 1$ digits. (\textit{mp\_grow}). \\ -2. If step 1 failed return(\textit{MP\_MEM}). \\ -\\ -3. $pa \leftarrow 2 \cdot a.used$ \\ -4. $\hat W1 \leftarrow 0$ \\ -5. for $ix$ from $0$ to $pa - 1$ do \\ -\hspace{3mm}5.1 $\_ \hat W \leftarrow 0$ \\ -\hspace{3mm}5.2 $ty \leftarrow \mbox{MIN}(a.used - 1, ix)$ \\ -\hspace{3mm}5.3 $tx \leftarrow ix - ty$ \\ -\hspace{3mm}5.4 $iy \leftarrow \mbox{MIN}(a.used - tx, ty + 1)$ \\ -\hspace{3mm}5.5 $iy \leftarrow \mbox{MIN}(iy, \lfloor \left (ty - tx + 1 \right )/2 \rfloor)$ \\ -\hspace{3mm}5.6 for $iz$ from $0$ to $iz - 1$ do \\ -\hspace{6mm}5.6.1 $\_ \hat W \leftarrow \_ \hat W + a_{tx + iz}a_{ty - iz}$ \\ -\hspace{3mm}5.7 $\_ \hat W \leftarrow 2 \cdot \_ \hat W + \hat W1$ \\ -\hspace{3mm}5.8 if $ix$ is even then \\ -\hspace{6mm}5.8.1 $\_ \hat W \leftarrow \_ \hat W + \left ( a_{\lfloor ix/2 \rfloor}\right )^2$ \\ -\hspace{3mm}5.9 $W_{ix} \leftarrow \_ \hat W (\mbox{mod }\beta)$ \\ -\hspace{3mm}5.10 $\hat W1 \leftarrow \lfloor \_ \hat W / \beta \rfloor$ \\ -\\ -6. $oldused \leftarrow b.used$ \\ -7. $b.used \leftarrow 2 \cdot a.used$ \\ -8. for $ix$ from $0$ to $pa - 1$ do \\ -\hspace{3mm}8.1 $b_{ix} \leftarrow W_{ix}$ \\ -9. for $ix$ from $pa$ to $oldused - 1$ do \\ -\hspace{3mm}9.1 $b_{ix} \leftarrow 0$ \\ -10. Clamp excess digits from $b$. (\textit{mp\_clamp}) \\ -11. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm fast\_s\_mp\_sqr} -\end{figure} - -\textbf{Algorithm fast\_s\_mp\_sqr.} -This algorithm computes the square of an input using the Comba technique. It is designed to be a replacement for algorithm -s\_mp\_sqr when the number of input digits is less than \textbf{MP\_WARRAY} and less than $\delta \over 2$. -This algorithm is very similar to the Comba multiplier except with a few key differences we shall make note of. - -First, we have an accumulator and carry variables $\_ \hat W$ and $\hat W1$ respectively. This is because the inner loop -products are to be doubled. If we had added the previous carry in we would be doubling too much. Next we perform an -addition MIN condition on $iy$ (step 5.5) to prevent overlapping digits. For example, $a_3 \cdot a_5$ is equal -$a_5 \cdot a_3$. Whereas in the multiplication case we would have $5 < a.used$ and $3 \ge 0$ is maintained since we double the sum -of the products just outside the inner loop we have to avoid doing this. This is also a good thing since we perform -fewer multiplications and the routine ends up being faster. - -Finally the last difference is the addition of the ``square'' term outside the inner loop (step 5.8). We add in the square -only to even outputs and it is the square of the term at the $\lfloor ix / 2 \rfloor$ position. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_fast\_s\_mp\_sqr.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This implementation is essentially a copy of Comba multiplication with the appropriate changes added to make it faster for -the special case of squaring. - -\subsection{Polynomial Basis Squaring} -The same algorithm that performs optimal polynomial basis multiplication can be used to perform polynomial basis squaring. The minor exception -is that $\zeta_y = f(y)g(y)$ is actually equivalent to $\zeta_y = f(y)^2$ since $f(y) = g(y)$. Instead of performing $2n + 1$ -multiplications to find the $\zeta$ relations, squaring operations are performed instead. - -\subsection{Karatsuba Squaring} -Let $f(x) = ax + b$ represent the polynomial basis representation of a number to square. -Let $h(x) = \left ( f(x) \right )^2$ represent the square of the polynomial. The Karatsuba equation can be modified to square a -number with the following equation. - -\begin{equation} -h(x) = a^2x^2 + \left ((a + b)^2 - (a^2 + b^2) \right )x + b^2 -\end{equation} - -Upon closer inspection this equation only requires the calculation of three half-sized squares: $a^2$, $b^2$ and $(a + b)^2$. As in -Karatsuba multiplication, this algorithm can be applied recursively on the input and will achieve an asymptotic running time of -$O \left ( n^{lg(3)} \right )$. - -If the asymptotic times of Karatsuba squaring and multiplication are the same, why not simply use the multiplication algorithm -instead? The answer to this arises from the cutoff point for squaring. As in multiplication there exists a cutoff point, at which the -time required for a Comba based squaring and a Karatsuba based squaring meet. Due to the overhead inherent in the Karatsuba method, the cutoff -point is fairly high. For example, on an AMD Athlon XP processor with $\beta = 2^{28}$, the cutoff point is around 127 digits. - -Consider squaring a 200 digit number with this technique. It will be split into two 100 digit halves which are subsequently squared. -The 100 digit halves will not be squared using Karatsuba, but instead using the faster Comba based squaring algorithm. If Karatsuba multiplication -were used instead, the 100 digit numbers would be squared with a slower Comba based multiplication. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_karatsuba\_sqr}. \\ -\textbf{Input}. mp\_int $a$ \\ -\textbf{Output}. $b \leftarrow a^2$ \\ -\hline \\ -1. Initialize the following temporary mp\_ints: $x0$, $x1$, $t1$, $t2$, $x0x0$ and $x1x1$. \\ -2. If any of the initializations on step 1 failed return(\textit{MP\_MEM}). \\ -\\ -Split the input. e.g. $a = x1\beta^B + x0$ \\ -3. $B \leftarrow \lfloor a.used / 2 \rfloor$ \\ -4. $x0 \leftarrow a \mbox{ (mod }\beta^B\mbox{)}$ (\textit{mp\_mod\_2d}) \\ -5. $x1 \leftarrow \lfloor a / \beta^B \rfloor$ (\textit{mp\_lshd}) \\ -\\ -Calculate the three squares. \\ -6. $x0x0 \leftarrow x0^2$ (\textit{mp\_sqr}) \\ -7. $x1x1 \leftarrow x1^2$ \\ -8. $t1 \leftarrow x1 + x0$ (\textit{s\_mp\_add}) \\ -9. $t1 \leftarrow t1^2$ \\ -\\ -Compute the middle term. \\ -10. $t2 \leftarrow x0x0 + x1x1$ (\textit{s\_mp\_add}) \\ -11. $t1 \leftarrow t1 - t2$ \\ -\\ -Compute final product. \\ -12. $t1 \leftarrow t1\beta^B$ (\textit{mp\_lshd}) \\ -13. $x1x1 \leftarrow x1x1\beta^{2B}$ \\ -14. $t1 \leftarrow t1 + x0x0$ \\ -15. $b \leftarrow t1 + x1x1$ \\ -16. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_karatsuba\_sqr} -\end{figure} - -\textbf{Algorithm mp\_karatsuba\_sqr.} -This algorithm computes the square of an input $a$ using the Karatsuba technique. This algorithm is very similar to the Karatsuba based -multiplication algorithm with the exception that the three half-size multiplications have been replaced with three half-size squarings. - -The radix point for squaring is simply placed exactly in the middle of the digits when the input has an odd number of digits, otherwise it is -placed just below the middle. Step 3, 4 and 5 compute the two halves required using $B$ -as the radix point. The first two squares in steps 6 and 7 are rather straightforward while the last square is of a more compact form. - -By expanding $\left (x1 + x0 \right )^2$, the $x1^2$ and $x0^2$ terms in the middle disappear, that is $(x0 - x1)^2 - (x1^2 + x0^2) = 2 \cdot x0 \cdot x1$. -Now if $5n$ single precision additions and a squaring of $n$-digits is faster than multiplying two $n$-digit numbers and doubling then -this method is faster. Assuming no further recursions occur, the difference can be estimated with the following inequality. - -Let $p$ represent the cost of a single precision addition and $q$ the cost of a single precision multiplication both in terms of time\footnote{Or -machine clock cycles.}. - -\begin{equation} -5pn +{{q(n^2 + n)} \over 2} \le pn + qn^2 -\end{equation} - -For example, on an AMD Athlon XP processor $p = {1 \over 3}$ and $q = 6$. This implies that the following inequality should hold. -\begin{center} -\begin{tabular}{rcl} -${5n \over 3} + 3n^2 + 3n$ & $<$ & ${n \over 3} + 6n^2$ \\ -${5 \over 3} + 3n + 3$ & $<$ & ${1 \over 3} + 6n$ \\ -${13 \over 9}$ & $<$ & $n$ \\ -\end{tabular} -\end{center} - -This results in a cutoff point around $n = 2$. As a consequence it is actually faster to compute the middle term the ``long way'' on processors -where multiplication is substantially slower\footnote{On the Athlon there is a 1:17 ratio between clock cycles for addition and multiplication. On -the Intel P4 processor this ratio is 1:29 making this method even more beneficial. The only common exception is the ARMv4 processor which has a -ratio of 1:7. } than simpler operations such as addition. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_karatsuba\_sqr.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This implementation is largely based on the implementation of algorithm mp\_karatsuba\_mul. It uses the same inline style to copy and -shift the input into the two halves. The loop from line 54 to line 70 has been modified since only one input exists. The \textbf{used} -count of both $x0$ and $x1$ is fixed up and $x0$ is clamped before the calculations begin. At this point $x1$ and $x0$ are valid equivalents -to the respective halves as if mp\_rshd and mp\_mod\_2d had been used. - -By inlining the copy and shift operations the cutoff point for Karatsuba multiplication can be lowered. On the Athlon the cutoff point -is exactly at the point where Comba squaring can no longer be used (\textit{128 digits}). On slower processors such as the Intel P4 -it is actually below the Comba limit (\textit{at 110 digits}). - -This routine uses the same error trap coding style as mp\_karatsuba\_sqr. As the temporary variables are initialized errors are -redirected to the error trap higher up. If the algorithm completes without error the error code is set to \textbf{MP\_OKAY} and -mp\_clears are executed normally. - -\subsection{Toom-Cook Squaring} -The Toom-Cook squaring algorithm mp\_toom\_sqr is heavily based on the algorithm mp\_toom\_mul with the exception that squarings are used -instead of multiplication to find the five relations. The reader is encouraged to read the description of the latter algorithm and try to -derive their own Toom-Cook squaring algorithm. - -\subsection{High Level Squaring} -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_sqr}. \\ -\textbf{Input}. mp\_int $a$ \\ -\textbf{Output}. $b \leftarrow a^2$ \\ -\hline \\ -1. If $a.used \ge TOOM\_SQR\_CUTOFF$ then \\ -\hspace{3mm}1.1 $b \leftarrow a^2$ using algorithm mp\_toom\_sqr \\ -2. else if $a.used \ge KARATSUBA\_SQR\_CUTOFF$ then \\ -\hspace{3mm}2.1 $b \leftarrow a^2$ using algorithm mp\_karatsuba\_sqr \\ -3. else \\ -\hspace{3mm}3.1 $digs \leftarrow a.used + b.used + 1$ \\ -\hspace{3mm}3.2 If $digs < MP\_ARRAY$ and $a.used \le \delta$ then \\ -\hspace{6mm}3.2.1 $b \leftarrow a^2$ using algorithm fast\_s\_mp\_sqr. \\ -\hspace{3mm}3.3 else \\ -\hspace{6mm}3.3.1 $b \leftarrow a^2$ using algorithm s\_mp\_sqr. \\ -4. $b.sign \leftarrow MP\_ZPOS$ \\ -5. Return the result of the unsigned squaring performed. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_sqr} -\end{figure} - -\textbf{Algorithm mp\_sqr.} -This algorithm computes the square of the input using one of four different algorithms. If the input is very large and has at least -\textbf{TOOM\_SQR\_CUTOFF} or \textbf{KARATSUBA\_SQR\_CUTOFF} digits then either the Toom-Cook or the Karatsuba Squaring algorithm is used. If -neither of the polynomial basis algorithms should be used then either the Comba or baseline algorithm is used. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_sqr.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\section*{Exercises} -\begin{tabular}{cl} -$\left [ 3 \right ] $ & Devise an efficient algorithm for selection of the radix point to handle inputs \\ - & that have different number of digits in Karatsuba multiplication. \\ - & \\ -$\left [ 2 \right ] $ & In section 5.3 the fact that every column of a squaring is made up \\ - & of double products and at most one square is stated. Prove this statement. \\ - & \\ -$\left [ 3 \right ] $ & Prove the equation for Karatsuba squaring. \\ - & \\ -$\left [ 1 \right ] $ & Prove that Karatsuba squaring requires $O \left (n^{lg(3)} \right )$ time. \\ - & \\ -$\left [ 2 \right ] $ & Determine the minimal ratio between addition and multiplication clock cycles \\ - & required for equation $6.7$ to be true. \\ - & \\ -$\left [ 3 \right ] $ & Implement a threaded version of Comba multiplication (and squaring) where you \\ - & compute subsets of the columns in each thread. Determine a cutoff point where \\ - & it is effective and add the logic to mp\_mul() and mp\_sqr(). \\ - &\\ -$\left [ 4 \right ] $ & Same as the previous but also modify the Karatsuba and Toom-Cook. You must \\ - & increase the throughput of mp\_exptmod() for random odd moduli in the range \\ - & $512 \ldots 4096$ bits significantly ($> 2x$) to complete this challenge. \\ - & \\ -\end{tabular} - -\chapter{Modular Reduction} -\section{Basics of Modular Reduction} -\index{modular residue} -Modular reduction is an operation that arises quite often within public key cryptography algorithms and various number theoretic algorithms, -such as factoring. Modular reduction algorithms are the third class of algorithms of the ``multipliers'' set. A number $a$ is said to be \textit{reduced} -modulo another number $b$ by finding the remainder of the division $a/b$. Full integer division with remainder is a topic to be covered -in~\ref{sec:division}. - -Modular reduction is equivalent to solving for $r$ in the following equation. $a = bq + r$ where $q = \lfloor a/b \rfloor$. The result -$r$ is said to be ``congruent to $a$ modulo $b$'' which is also written as $r \equiv a \mbox{ (mod }b\mbox{)}$. In other vernacular $r$ is known as the -``modular residue'' which leads to ``quadratic residue''\footnote{That's fancy talk for $b \equiv a^2 \mbox{ (mod }p\mbox{)}$.} and -other forms of residues. - -Modular reductions are normally used to create either finite groups, rings or fields. The most common usage for performance driven modular reductions -is in modular exponentiation algorithms. That is to compute $d = a^b \mbox{ (mod }c\mbox{)}$ as fast as possible. This operation is used in the -RSA and Diffie-Hellman public key algorithms, for example. Modular multiplication and squaring also appears as a fundamental operation in -elliptic curve cryptographic algorithms. As will be discussed in the subsequent chapter there exist fast algorithms for computing modular -exponentiations without having to perform (\textit{in this example}) $b - 1$ multiplications. These algorithms will produce partial results in the -range $0 \le x < c^2$ which can be taken advantage of to create several efficient algorithms. They have also been used to create redundancy check -algorithms known as CRCs, error correction codes such as Reed-Solomon and solve a variety of number theoeretic problems. - -\section{The Barrett Reduction} -The Barrett reduction algorithm \cite{BARRETT} was inspired by fast division algorithms which multiply by the reciprocal to emulate -division. Barretts observation was that the residue $c$ of $a$ modulo $b$ is equal to - -\begin{equation} -c = a - b \cdot \lfloor a/b \rfloor -\end{equation} - -Since algorithms such as modular exponentiation would be using the same modulus extensively, typical DSP\footnote{It is worth noting that Barrett's paper -targeted the DSP56K processor.} intuition would indicate the next step would be to replace $a/b$ by a multiplication by the reciprocal. However, -DSP intuition on its own will not work as these numbers are considerably larger than the precision of common DSP floating point data types. -It would take another common optimization to optimize the algorithm. - -\subsection{Fixed Point Arithmetic} -The trick used to optimize the above equation is based on a technique of emulating floating point data types with fixed precision integers. Fixed -point arithmetic would become very popular as it greatly optimize the ``3d-shooter'' genre of games in the mid 1990s when floating point units were -fairly slow if not unavailable. The idea behind fixed point arithmetic is to take a normal $k$-bit integer data type and break it into $p$-bit -integer and a $q$-bit fraction part (\textit{where $p+q = k$}). - -In this system a $k$-bit integer $n$ would actually represent $n/2^q$. For example, with $q = 4$ the integer $n = 37$ would actually represent the -value $2.3125$. To multiply two fixed point numbers the integers are multiplied using traditional arithmetic and subsequently normalized by -moving the implied decimal point back to where it should be. For example, with $q = 4$ to multiply the integers $9$ and $5$ they must be converted -to fixed point first by multiplying by $2^q$. Let $a = 9(2^q)$ represent the fixed point representation of $9$ and $b = 5(2^q)$ represent the -fixed point representation of $5$. The product $ab$ is equal to $45(2^{2q})$ which when normalized by dividing by $2^q$ produces $45(2^q)$. - -This technique became popular since a normal integer multiplication and logical shift right are the only required operations to perform a multiplication -of two fixed point numbers. Using fixed point arithmetic, division can be easily approximated by multiplying by the reciprocal. If $2^q$ is -equivalent to one than $2^q/b$ is equivalent to the fixed point approximation of $1/b$ using real arithmetic. Using this fact dividing an integer -$a$ by another integer $b$ can be achieved with the following expression. - -\begin{equation} -\lfloor a / b \rfloor \mbox{ }\approx\mbox{ } \lfloor (a \cdot \lfloor 2^q / b \rfloor)/2^q \rfloor -\end{equation} - -The precision of the division is proportional to the value of $q$. If the divisor $b$ is used frequently as is the case with -modular exponentiation pre-computing $2^q/b$ will allow a division to be performed with a multiplication and a right shift. Both operations -are considerably faster than division on most processors. - -Consider dividing $19$ by $5$. The correct result is $\lfloor 19/5 \rfloor = 3$. With $q = 3$ the reciprocal is $\lfloor 2^q/5 \rfloor = 1$ which -leads to a product of $19$ which when divided by $2^q$ produces $2$. However, with $q = 4$ the reciprocal is $\lfloor 2^q/5 \rfloor = 3$ and -the result of the emulated division is $\lfloor 3 \cdot 19 / 2^q \rfloor = 3$ which is correct. The value of $2^q$ must be close to or ideally -larger than the dividend. In effect if $a$ is the dividend then $q$ should allow $0 \le \lfloor a/2^q \rfloor \le 1$ in order for this approach -to work correctly. Plugging this form of divison into the original equation the following modular residue equation arises. - -\begin{equation} -c = a - b \cdot \lfloor (a \cdot \lfloor 2^q / b \rfloor)/2^q \rfloor -\end{equation} - -Using the notation from \cite{BARRETT} the value of $\lfloor 2^q / b \rfloor$ will be represented by the $\mu$ symbol. Using the $\mu$ -variable also helps re-inforce the idea that it is meant to be computed once and re-used. - -\begin{equation} -c = a - b \cdot \lfloor (a \cdot \mu)/2^q \rfloor -\end{equation} - -Provided that $2^q \ge a$ this algorithm will produce a quotient that is either exactly correct or off by a value of one. In the context of Barrett -reduction the value of $a$ is bound by $0 \le a \le (b - 1)^2$ meaning that $2^q \ge b^2$ is sufficient to ensure the reciprocal will have enough -precision. - -Let $n$ represent the number of digits in $b$. This algorithm requires approximately $2n^2$ single precision multiplications to produce the quotient and -another $n^2$ single precision multiplications to find the residue. In total $3n^2$ single precision multiplications are required to -reduce the number. - -For example, if $b = 1179677$ and $q = 41$ ($2^q > b^2$), then the reciprocal $\mu$ is equal to $\lfloor 2^q / b \rfloor = 1864089$. Consider reducing -$a = 180388626447$ modulo $b$ using the above reduction equation. The quotient using the new formula is $\lfloor (a \cdot \mu) / 2^q \rfloor = 152913$. -By subtracting $152913b$ from $a$ the correct residue $a \equiv 677346 \mbox{ (mod }b\mbox{)}$ is found. - -\subsection{Choosing a Radix Point} -Using the fixed point representation a modular reduction can be performed with $3n^2$ single precision multiplications. If that were the best -that could be achieved a full division\footnote{A division requires approximately $O(2cn^2)$ single precision multiplications for a small value of $c$. -See~\ref{sec:division} for further details.} might as well be used in its place. The key to optimizing the reduction is to reduce the precision of -the initial multiplication that finds the quotient. - -Let $a$ represent the number of which the residue is sought. Let $b$ represent the modulus used to find the residue. Let $m$ represent -the number of digits in $b$. For the purposes of this discussion we will assume that the number of digits in $a$ is $2m$, which is generally true if -two $m$-digit numbers have been multiplied. Dividing $a$ by $b$ is the same as dividing a $2m$ digit integer by a $m$ digit integer. Digits below the -$m - 1$'th digit of $a$ will contribute at most a value of $1$ to the quotient because $\beta^k < b$ for any $0 \le k \le m - 1$. Another way to -express this is by re-writing $a$ as two parts. If $a' \equiv a \mbox{ (mod }b^m\mbox{)}$ and $a'' = a - a'$ then -${a \over b} \equiv {{a' + a''} \over b}$ which is equivalent to ${a' \over b} + {a'' \over b}$. Since $a'$ is bound to be less than $b$ the quotient -is bound by $0 \le {a' \over b} < 1$. - -Since the digits of $a'$ do not contribute much to the quotient the observation is that they might as well be zero. However, if the digits -``might as well be zero'' they might as well not be there in the first place. Let $q_0 = \lfloor a/\beta^{m-1} \rfloor$ represent the input -with the irrelevant digits trimmed. Now the modular reduction is trimmed to the almost equivalent equation - -\begin{equation} -c = a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor -\end{equation} - -Note that the original divisor $2^q$ has been replaced with $\beta^{m+1}$ where in this case $q$ is a multiple of $lg(\beta)$. Also note that the -exponent on the divisor when added to the amount $q_0$ was shifted by equals $2m$. If the optimization had not been performed the divisor -would have the exponent $2m$ so in the end the exponents do ``add up''. Using the above equation the quotient -$\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ can be off from the true quotient by at most two. The original fixed point quotient can be off -by as much as one (\textit{provided the radix point is chosen suitably}) and now that the lower irrelevent digits have been trimmed the quotient -can be off by an additional value of one for a total of at most two. This implies that -$0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. By first subtracting $b$ times the quotient and then conditionally subtracting -$b$ once or twice the residue is found. - -The quotient is now found using $(m + 1)(m) = m^2 + m$ single precision multiplications and the residue with an additional $m^2$ single -precision multiplications, ignoring the subtractions required. In total $2m^2 + m$ single precision multiplications are required to find the residue. -This is considerably faster than the original attempt. - -For example, let $\beta = 10$ represent the radix of the digits. Let $b = 9999$ represent the modulus which implies $m = 4$. Let $a = 99929878$ -represent the value of which the residue is desired. In this case $q = 8$ since $10^7 < 9999^2$ meaning that $\mu = \lfloor \beta^{q}/b \rfloor = 10001$. -With the new observation the multiplicand for the quotient is equal to $q_0 = \lfloor a / \beta^{m - 1} \rfloor = 99929$. The quotient is then -$\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor = 9993$. Subtracting $9993b$ from $a$ and the correct residue $a \equiv 9871 \mbox{ (mod }b\mbox{)}$ -is found. - -\subsection{Trimming the Quotient} -So far the reduction algorithm has been optimized from $3m^2$ single precision multiplications down to $2m^2 + m$ single precision multiplications. As -it stands now the algorithm is already fairly fast compared to a full integer division algorithm. However, there is still room for -optimization. - -After the first multiplication inside the quotient ($q_0 \cdot \mu$) the value is shifted right by $m + 1$ places effectively nullifying the lower -half of the product. It would be nice to be able to remove those digits from the product to effectively cut down the number of single precision -multiplications. If the number of digits in the modulus $m$ is far less than $\beta$ a full product is not required for the algorithm to work properly. -In fact the lower $m - 2$ digits will not affect the upper half of the product at all and do not need to be computed. - -The value of $\mu$ is a $m$-digit number and $q_0$ is a $m + 1$ digit number. Using a full multiplier $(m + 1)(m) = m^2 + m$ single precision -multiplications would be required. Using a multiplier that will only produce digits at and above the $m - 1$'th digit reduces the number -of single precision multiplications to ${m^2 + m} \over 2$ single precision multiplications. - -\subsection{Trimming the Residue} -After the quotient has been calculated it is used to reduce the input. As previously noted the algorithm is not exact and it can be off by a small -multiple of the modulus, that is $0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. If $b$ is $m$ digits than the -result of reduction equation is a value of at most $m + 1$ digits (\textit{provided $3 < \beta$}) implying that the upper $m - 1$ digits are -implicitly zero. - -The next optimization arises from this very fact. Instead of computing $b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ using a full -$O(m^2)$ multiplication algorithm only the lower $m+1$ digits of the product have to be computed. Similarly the value of $a$ can -be reduced modulo $\beta^{m+1}$ before the multiple of $b$ is subtracted which simplifes the subtraction as well. A multiplication that produces -only the lower $m+1$ digits requires ${m^2 + 3m - 2} \over 2$ single precision multiplications. - -With both optimizations in place the algorithm is the algorithm Barrett proposed. It requires $m^2 + 2m - 1$ single precision multiplications which -is considerably faster than the straightforward $3m^2$ method. - -\subsection{The Barrett Algorithm} -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_reduce}. \\ -\textbf{Input}. mp\_int $a$, mp\_int $b$ and $\mu = \lfloor \beta^{2m}/b \rfloor, m = \lceil lg_{\beta}(b) \rceil, (0 \le a < b^2, b > 1)$ \\ -\textbf{Output}. $a \mbox{ (mod }b\mbox{)}$ \\ -\hline \\ -Let $m$ represent the number of digits in $b$. \\ -1. Make a copy of $a$ and store it in $q$. (\textit{mp\_init\_copy}) \\ -2. $q \leftarrow \lfloor q / \beta^{m - 1} \rfloor$ (\textit{mp\_rshd}) \\ -\\ -Produce the quotient. \\ -3. $q \leftarrow q \cdot \mu$ (\textit{note: only produce digits at or above $m-1$}) \\ -4. $q \leftarrow \lfloor q / \beta^{m + 1} \rfloor$ \\ -\\ -Subtract the multiple of modulus from the input. \\ -5. $a \leftarrow a \mbox{ (mod }\beta^{m+1}\mbox{)}$ (\textit{mp\_mod\_2d}) \\ -6. $q \leftarrow q \cdot b \mbox{ (mod }\beta^{m+1}\mbox{)}$ (\textit{s\_mp\_mul\_digs}) \\ -7. $a \leftarrow a - q$ (\textit{mp\_sub}) \\ -\\ -Add $\beta^{m+1}$ if a carry occured. \\ -8. If $a < 0$ then (\textit{mp\_cmp\_d}) \\ -\hspace{3mm}8.1 $q \leftarrow 1$ (\textit{mp\_set}) \\ -\hspace{3mm}8.2 $q \leftarrow q \cdot \beta^{m+1}$ (\textit{mp\_lshd}) \\ -\hspace{3mm}8.3 $a \leftarrow a + q$ \\ -\\ -Now subtract the modulus if the residue is too large (e.g. quotient too small). \\ -9. While $a \ge b$ do (\textit{mp\_cmp}) \\ -\hspace{3mm}9.1 $c \leftarrow a - b$ \\ -10. Clear $q$. \\ -11. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_reduce} -\end{figure} - -\textbf{Algorithm mp\_reduce.} -This algorithm will reduce the input $a$ modulo $b$ in place using the Barrett algorithm. It is loosely based on algorithm 14.42 of HAC -\cite[pp. 602]{HAC} which is based on the paper from Paul Barrett \cite{BARRETT}. The algorithm has several restrictions and assumptions which must -be adhered to for the algorithm to work. - -First the modulus $b$ is assumed to be positive and greater than one. If the modulus were less than or equal to one than subtracting -a multiple of it would either accomplish nothing or actually enlarge the input. The input $a$ must be in the range $0 \le a < b^2$ in order -for the quotient to have enough precision. If $a$ is the product of two numbers that were already reduced modulo $b$, this will not be a problem. -Technically the algorithm will still work if $a \ge b^2$ but it will take much longer to finish. The value of $\mu$ is passed as an argument to this -algorithm and is assumed to be calculated and stored before the algorithm is used. - -Recall that the multiplication for the quotient on step 3 must only produce digits at or above the $m-1$'th position. An algorithm called -$s\_mp\_mul\_high\_digs$ which has not been presented is used to accomplish this task. The algorithm is based on $s\_mp\_mul\_digs$ except that -instead of stopping at a given level of precision it starts at a given level of precision. This optimal algorithm can only be used if the number -of digits in $b$ is very much smaller than $\beta$. - -While it is known that -$a \ge b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ only the lower $m+1$ digits are being used to compute the residue, so an implied -``borrow'' from the higher digits might leave a negative result. After the multiple of the modulus has been subtracted from $a$ the residue must be -fixed up in case it is negative. The invariant $\beta^{m+1}$ must be added to the residue to make it positive again. - -The while loop at step 9 will subtract $b$ until the residue is less than $b$. If the algorithm is performed correctly this step is -performed at most twice, and on average once. However, if $a \ge b^2$ than it will iterate substantially more times than it should. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_reduce.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The first multiplication that determines the quotient can be performed by only producing the digits from $m - 1$ and up. This essentially halves -the number of single precision multiplications required. However, the optimization is only safe if $\beta$ is much larger than the number of digits -in the modulus. In the source code this is evaluated on lines 36 to 44 where algorithm s\_mp\_mul\_high\_digs is used when it is -safe to do so. - -\subsection{The Barrett Setup Algorithm} -In order to use algorithm mp\_reduce the value of $\mu$ must be calculated in advance. Ideally this value should be computed once and stored for -future use so that the Barrett algorithm can be used without delay. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_reduce\_setup}. \\ -\textbf{Input}. mp\_int $a$ ($a > 1$) \\ -\textbf{Output}. $\mu \leftarrow \lfloor \beta^{2m}/a \rfloor$ \\ -\hline \\ -1. $\mu \leftarrow 2^{2 \cdot lg(\beta) \cdot m}$ (\textit{mp\_2expt}) \\ -2. $\mu \leftarrow \lfloor \mu / b \rfloor$ (\textit{mp\_div}) \\ -3. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_reduce\_setup} -\end{figure} - -\textbf{Algorithm mp\_reduce\_setup.} -This algorithm computes the reciprocal $\mu$ required for Barrett reduction. First $\beta^{2m}$ is calculated as $2^{2 \cdot lg(\beta) \cdot m}$ which -is equivalent and much faster. The final value is computed by taking the integer quotient of $\lfloor \mu / b \rfloor$. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_reduce\_setup.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This simple routine calculates the reciprocal $\mu$ required by Barrett reduction. Note the extended usage of algorithm mp\_div where the variable -which would received the remainder is passed as NULL. As will be discussed in~\ref{sec:division} the division routine allows both the quotient and the -remainder to be passed as NULL meaning to ignore the value. - -\section{The Montgomery Reduction} -Montgomery reduction\footnote{Thanks to Niels Ferguson for his insightful explanation of the algorithm.} \cite{MONT} is by far the most interesting -form of reduction in common use. It computes a modular residue which is not actually equal to the residue of the input yet instead equal to a -residue times a constant. However, as perplexing as this may sound the algorithm is relatively simple and very efficient. - -Throughout this entire section the variable $n$ will represent the modulus used to form the residue. As will be discussed shortly the value of -$n$ must be odd. The variable $x$ will represent the quantity of which the residue is sought. Similar to the Barrett algorithm the input -is restricted to $0 \le x < n^2$. To begin the description some simple number theory facts must be established. - -\textbf{Fact 1.} Adding $n$ to $x$ does not change the residue since in effect it adds one to the quotient $\lfloor x / n \rfloor$. Another way -to explain this is that $n$ is (\textit{or multiples of $n$ are}) congruent to zero modulo $n$. Adding zero will not change the value of the residue. - -\textbf{Fact 2.} If $x$ is even then performing a division by two in $\Z$ is congruent to $x \cdot 2^{-1} \mbox{ (mod }n\mbox{)}$. Actually -this is an application of the fact that if $x$ is evenly divisible by any $k \in \Z$ then division in $\Z$ will be congruent to -multiplication by $k^{-1}$ modulo $n$. - -From these two simple facts the following simple algorithm can be derived. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Montgomery Reduction}. \\ -\textbf{Input}. Integer $x$, $n$ and $k$ \\ -\textbf{Output}. $2^{-k}x \mbox{ (mod }n\mbox{)}$ \\ -\hline \\ -1. for $t$ from $1$ to $k$ do \\ -\hspace{3mm}1.1 If $x$ is odd then \\ -\hspace{6mm}1.1.1 $x \leftarrow x + n$ \\ -\hspace{3mm}1.2 $x \leftarrow x/2$ \\ -2. Return $x$. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Montgomery Reduction} -\end{figure} - -The algorithm reduces the input one bit at a time using the two congruencies stated previously. Inside the loop $n$, which is odd, is -added to $x$ if $x$ is odd. This forces $x$ to be even which allows the division by two in $\Z$ to be congruent to a modular division by two. Since -$x$ is assumed to be initially much larger than $n$ the addition of $n$ will contribute an insignificant magnitude to $x$. Let $r$ represent the -final result of the Montgomery algorithm. If $k > lg(n)$ and $0 \le x < n^2$ then the final result is limited to -$0 \le r < \lfloor x/2^k \rfloor + n$. As a result at most a single subtraction is required to get the residue desired. - -\begin{figure}[here] -\begin{small} -\begin{center} -\begin{tabular}{|c|l|} -\hline \textbf{Step number ($t$)} & \textbf{Result ($x$)} \\ -\hline $1$ & $x + n = 5812$, $x/2 = 2906$ \\ -\hline $2$ & $x/2 = 1453$ \\ -\hline $3$ & $x + n = 1710$, $x/2 = 855$ \\ -\hline $4$ & $x + n = 1112$, $x/2 = 556$ \\ -\hline $5$ & $x/2 = 278$ \\ -\hline $6$ & $x/2 = 139$ \\ -\hline $7$ & $x + n = 396$, $x/2 = 198$ \\ -\hline $8$ & $x/2 = 99$ \\ -\hline $9$ & $x + n = 356$, $x/2 = 178$ \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Example of Montgomery Reduction (I)} -\label{fig:MONT1} -\end{figure} - -Consider the example in figure~\ref{fig:MONT1} which reduces $x = 5555$ modulo $n = 257$ when $k = 9$ (note $\beta^k = 512$ which is larger than $n$). The result of -the algorithm $r = 178$ is congruent to the value of $2^{-9} \cdot 5555 \mbox{ (mod }257\mbox{)}$. When $r$ is multiplied by $2^9$ modulo $257$ the correct residue -$r \equiv 158$ is produced. - -Let $k = \lfloor lg(n) \rfloor + 1$ represent the number of bits in $n$. The current algorithm requires $2k^2$ single precision shifts -and $k^2$ single precision additions. At this rate the algorithm is most certainly slower than Barrett reduction and not terribly useful. -Fortunately there exists an alternative representation of the algorithm. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Montgomery Reduction} (modified I). \\ -\textbf{Input}. Integer $x$, $n$ and $k$ ($2^k > n$) \\ -\textbf{Output}. $2^{-k}x \mbox{ (mod }n\mbox{)}$ \\ -\hline \\ -1. for $t$ from $1$ to $k$ do \\ -\hspace{3mm}1.1 If the $t$'th bit of $x$ is one then \\ -\hspace{6mm}1.1.1 $x \leftarrow x + 2^tn$ \\ -2. Return $x/2^k$. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Montgomery Reduction (modified I)} -\end{figure} - -This algorithm is equivalent since $2^tn$ is a multiple of $n$ and the lower $k$ bits of $x$ are zero by step 2. The number of single -precision shifts has now been reduced from $2k^2$ to $k^2 + k$ which is only a small improvement. - -\begin{figure}[here] -\begin{small} -\begin{center} -\begin{tabular}{|c|l|r|} -\hline \textbf{Step number ($t$)} & \textbf{Result ($x$)} & \textbf{Result ($x$) in Binary} \\ -\hline -- & $5555$ & $1010110110011$ \\ -\hline $1$ & $x + 2^{0}n = 5812$ & $1011010110100$ \\ -\hline $2$ & $5812$ & $1011010110100$ \\ -\hline $3$ & $x + 2^{2}n = 6840$ & $1101010111000$ \\ -\hline $4$ & $x + 2^{3}n = 8896$ & $10001011000000$ \\ -\hline $5$ & $8896$ & $10001011000000$ \\ -\hline $6$ & $8896$ & $10001011000000$ \\ -\hline $7$ & $x + 2^{6}n = 25344$ & $110001100000000$ \\ -\hline $8$ & $25344$ & $110001100000000$ \\ -\hline $9$ & $x + 2^{7}n = 91136$ & $10110010000000000$ \\ -\hline -- & $x/2^k = 178$ & \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Example of Montgomery Reduction (II)} -\label{fig:MONT2} -\end{figure} - -Figure~\ref{fig:MONT2} demonstrates the modified algorithm reducing $x = 5555$ modulo $n = 257$ with $k = 9$. -With this algorithm a single shift right at the end is the only right shift required to reduce the input instead of $k$ right shifts inside the -loop. Note that for the iterations $t = 2, 5, 6$ and $8$ where the result $x$ is not changed. In those iterations the $t$'th bit of $x$ is -zero and the appropriate multiple of $n$ does not need to be added to force the $t$'th bit of the result to zero. - -\subsection{Digit Based Montgomery Reduction} -Instead of computing the reduction on a bit-by-bit basis it is actually much faster to compute it on digit-by-digit basis. Consider the -previous algorithm re-written to compute the Montgomery reduction in this new fashion. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Montgomery Reduction} (modified II). \\ -\textbf{Input}. Integer $x$, $n$ and $k$ ($\beta^k > n$) \\ -\textbf{Output}. $\beta^{-k}x \mbox{ (mod }n\mbox{)}$ \\ -\hline \\ -1. for $t$ from $0$ to $k - 1$ do \\ -\hspace{3mm}1.1 $x \leftarrow x + \mu n \beta^t$ \\ -2. Return $x/\beta^k$. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Montgomery Reduction (modified II)} -\end{figure} - -The value $\mu n \beta^t$ is a multiple of the modulus $n$ meaning that it will not change the residue. If the first digit of -the value $\mu n \beta^t$ equals the negative (modulo $\beta$) of the $t$'th digit of $x$ then the addition will result in a zero digit. This -problem breaks down to solving the following congruency. - -\begin{center} -\begin{tabular}{rcl} -$x_t + \mu n_0$ & $\equiv$ & $0 \mbox{ (mod }\beta\mbox{)}$ \\ -$\mu n_0$ & $\equiv$ & $-x_t \mbox{ (mod }\beta\mbox{)}$ \\ -$\mu$ & $\equiv$ & $-x_t/n_0 \mbox{ (mod }\beta\mbox{)}$ \\ -\end{tabular} -\end{center} - -In each iteration of the loop on step 1 a new value of $\mu$ must be calculated. The value of $-1/n_0 \mbox{ (mod }\beta\mbox{)}$ is used -extensively in this algorithm and should be precomputed. Let $\rho$ represent the negative of the modular inverse of $n_0$ modulo $\beta$. - -For example, let $\beta = 10$ represent the radix. Let $n = 17$ represent the modulus which implies $k = 2$ and $\rho \equiv 7$. Let $x = 33$ -represent the value to reduce. - -\newpage\begin{figure} -\begin{center} -\begin{tabular}{|c|c|c|} -\hline \textbf{Step ($t$)} & \textbf{Value of $x$} & \textbf{Value of $\mu$} \\ -\hline -- & $33$ & --\\ -\hline $0$ & $33 + \mu n = 50$ & $1$ \\ -\hline $1$ & $50 + \mu n \beta = 900$ & $5$ \\ -\hline -\end{tabular} -\end{center} -\caption{Example of Montgomery Reduction} -\end{figure} - -The final result $900$ is then divided by $\beta^k$ to produce the final result $9$. The first observation is that $9 \nequiv x \mbox{ (mod }n\mbox{)}$ -which implies the result is not the modular residue of $x$ modulo $n$. However, recall that the residue is actually multiplied by $\beta^{-k}$ in -the algorithm. To get the true residue the value must be multiplied by $\beta^k$. In this case $\beta^k \equiv 15 \mbox{ (mod }n\mbox{)}$ and -the correct residue is $9 \cdot 15 \equiv 16 \mbox{ (mod }n\mbox{)}$. - -\subsection{Baseline Montgomery Reduction} -The baseline Montgomery reduction algorithm will produce the residue for any size input. It is designed to be a catch-all algororithm for -Montgomery reductions. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_montgomery\_reduce}. \\ -\textbf{Input}. mp\_int $x$, mp\_int $n$ and a digit $\rho \equiv -1/n_0 \mbox{ (mod }n\mbox{)}$. \\ -\hspace{11.5mm}($0 \le x < n^2, n > 1, (n, \beta) = 1, \beta^k > n$) \\ -\textbf{Output}. $\beta^{-k}x \mbox{ (mod }n\mbox{)}$ \\ -\hline \\ -1. $digs \leftarrow 2n.used + 1$ \\ -2. If $digs < MP\_ARRAY$ and $m.used < \delta$ then \\ -\hspace{3mm}2.1 Use algorithm fast\_mp\_montgomery\_reduce instead. \\ -\\ -Setup $x$ for the reduction. \\ -3. If $x.alloc < digs$ then grow $x$ to $digs$ digits. \\ -4. $x.used \leftarrow digs$ \\ -\\ -Eliminate the lower $k$ digits. \\ -5. For $ix$ from $0$ to $k - 1$ do \\ -\hspace{3mm}5.1 $\mu \leftarrow x_{ix} \cdot \rho \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}5.2 $u \leftarrow 0$ \\ -\hspace{3mm}5.3 For $iy$ from $0$ to $k - 1$ do \\ -\hspace{6mm}5.3.1 $\hat r \leftarrow \mu n_{iy} + x_{ix + iy} + u$ \\ -\hspace{6mm}5.3.2 $x_{ix + iy} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{6mm}5.3.3 $u \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -\hspace{3mm}5.4 While $u > 0$ do \\ -\hspace{6mm}5.4.1 $iy \leftarrow iy + 1$ \\ -\hspace{6mm}5.4.2 $x_{ix + iy} \leftarrow x_{ix + iy} + u$ \\ -\hspace{6mm}5.4.3 $u \leftarrow \lfloor x_{ix+iy} / \beta \rfloor$ \\ -\hspace{6mm}5.4.4 $x_{ix + iy} \leftarrow x_{ix+iy} \mbox{ (mod }\beta\mbox{)}$ \\ -\\ -Divide by $\beta^k$ and fix up as required. \\ -6. $x \leftarrow \lfloor x / \beta^k \rfloor$ \\ -7. If $x \ge n$ then \\ -\hspace{3mm}7.1 $x \leftarrow x - n$ \\ -8. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_montgomery\_reduce} -\end{figure} - -\textbf{Algorithm mp\_montgomery\_reduce.} -This algorithm reduces the input $x$ modulo $n$ in place using the Montgomery reduction algorithm. The algorithm is loosely based -on algorithm 14.32 of \cite[pp.601]{HAC} except it merges the multiplication of $\mu n \beta^t$ with the addition in the inner loop. The -restrictions on this algorithm are fairly easy to adapt to. First $0 \le x < n^2$ bounds the input to numbers in the same range as -for the Barrett algorithm. Additionally if $n > 1$ and $n$ is odd there will exist a modular inverse $\rho$. $\rho$ must be calculated in -advance of this algorithm. Finally the variable $k$ is fixed and a pseudonym for $n.used$. - -Step 2 decides whether a faster Montgomery algorithm can be used. It is based on the Comba technique meaning that there are limits on -the size of the input. This algorithm is discussed in sub-section 6.3.3. - -Step 5 is the main reduction loop of the algorithm. The value of $\mu$ is calculated once per iteration in the outer loop. The inner loop -calculates $x + \mu n \beta^{ix}$ by multiplying $\mu n$ and adding the result to $x$ shifted by $ix$ digits. Both the addition and -multiplication are performed in the same loop to save time and memory. Step 5.4 will handle any additional carries that escape the inner loop. - -Using a quick inspection this algorithm requires $n$ single precision multiplications for the outer loop and $n^2$ single precision multiplications -in the inner loop. In total $n^2 + n$ single precision multiplications which compares favourably to Barrett at $n^2 + 2n - 1$ single precision -multiplications. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_montgomery\_reduce.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This is the baseline implementation of the Montgomery reduction algorithm. Lines 31 to 36 determine if the Comba based -routine can be used instead. Line 47 computes the value of $\mu$ for that particular iteration of the outer loop. - -The multiplication $\mu n \beta^{ix}$ is performed in one step in the inner loop. The alias $tmpx$ refers to the $ix$'th digit of $x$ and -the alias $tmpn$ refers to the modulus $n$. - -\subsection{Faster ``Comba'' Montgomery Reduction} - -The Montgomery reduction requires fewer single precision multiplications than a Barrett reduction, however it is much slower due to the serial -nature of the inner loop. The Barrett reduction algorithm requires two slightly modified multipliers which can be implemented with the Comba -technique. The Montgomery reduction algorithm cannot directly use the Comba technique to any significant advantage since the inner loop calculates -a $k \times 1$ product $k$ times. - -The biggest obstacle is that at the $ix$'th iteration of the outer loop the value of $x_{ix}$ is required to calculate $\mu$. This means the -carries from $0$ to $ix - 1$ must have been propagated upwards to form a valid $ix$'th digit. The solution as it turns out is very simple. -Perform a Comba like multiplier and inside the outer loop just after the inner loop fix up the $ix + 1$'th digit by forwarding the carry. - -With this change in place the Montgomery reduction algorithm can be performed with a Comba style multiplication loop which substantially increases -the speed of the algorithm. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{fast\_mp\_montgomery\_reduce}. \\ -\textbf{Input}. mp\_int $x$, mp\_int $n$ and a digit $\rho \equiv -1/n_0 \mbox{ (mod }n\mbox{)}$. \\ -\hspace{11.5mm}($0 \le x < n^2, n > 1, (n, \beta) = 1, \beta^k > n$) \\ -\textbf{Output}. $\beta^{-k}x \mbox{ (mod }n\mbox{)}$ \\ -\hline \\ -Place an array of \textbf{MP\_WARRAY} mp\_word variables called $\hat W$ on the stack. \\ -1. if $x.alloc < n.used + 1$ then grow $x$ to $n.used + 1$ digits. \\ -Copy the digits of $x$ into the array $\hat W$ \\ -2. For $ix$ from $0$ to $x.used - 1$ do \\ -\hspace{3mm}2.1 $\hat W_{ix} \leftarrow x_{ix}$ \\ -3. For $ix$ from $x.used$ to $2n.used - 1$ do \\ -\hspace{3mm}3.1 $\hat W_{ix} \leftarrow 0$ \\ -Elimiate the lower $k$ digits. \\ -4. for $ix$ from $0$ to $n.used - 1$ do \\ -\hspace{3mm}4.1 $\mu \leftarrow \hat W_{ix} \cdot \rho \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}4.2 For $iy$ from $0$ to $n.used - 1$ do \\ -\hspace{6mm}4.2.1 $\hat W_{iy + ix} \leftarrow \hat W_{iy + ix} + \mu \cdot n_{iy}$ \\ -\hspace{3mm}4.3 $\hat W_{ix + 1} \leftarrow \hat W_{ix + 1} + \lfloor \hat W_{ix} / \beta \rfloor$ \\ -Propagate carries upwards. \\ -5. for $ix$ from $n.used$ to $2n.used + 1$ do \\ -\hspace{3mm}5.1 $\hat W_{ix + 1} \leftarrow \hat W_{ix + 1} + \lfloor \hat W_{ix} / \beta \rfloor$ \\ -Shift right and reduce modulo $\beta$ simultaneously. \\ -6. for $ix$ from $0$ to $n.used + 1$ do \\ -\hspace{3mm}6.1 $x_{ix} \leftarrow \hat W_{ix + n.used} \mbox{ (mod }\beta\mbox{)}$ \\ -Zero excess digits and fixup $x$. \\ -7. if $x.used > n.used + 1$ then do \\ -\hspace{3mm}7.1 for $ix$ from $n.used + 1$ to $x.used - 1$ do \\ -\hspace{6mm}7.1.1 $x_{ix} \leftarrow 0$ \\ -8. $x.used \leftarrow n.used + 1$ \\ -9. Clamp excessive digits of $x$. \\ -10. If $x \ge n$ then \\ -\hspace{3mm}10.1 $x \leftarrow x - n$ \\ -11. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm fast\_mp\_montgomery\_reduce} -\end{figure} - -\textbf{Algorithm fast\_mp\_montgomery\_reduce.} -This algorithm will compute the Montgomery reduction of $x$ modulo $n$ using the Comba technique. It is on most computer platforms significantly -faster than algorithm mp\_montgomery\_reduce and algorithm mp\_reduce (\textit{Barrett reduction}). The algorithm has the same restrictions -on the input as the baseline reduction algorithm. An additional two restrictions are imposed on this algorithm. The number of digits $k$ in the -the modulus $n$ must not violate $MP\_WARRAY > 2k +1$ and $n < \delta$. When $\beta = 2^{28}$ this algorithm can be used to reduce modulo -a modulus of at most $3,556$ bits in length. - -As in the other Comba reduction algorithms there is a $\hat W$ array which stores the columns of the product. It is initially filled with the -contents of $x$ with the excess digits zeroed. The reduction loop is very similar the to the baseline loop at heart. The multiplication on step -4.1 can be single precision only since $ab \mbox{ (mod }\beta\mbox{)} \equiv (a \mbox{ mod }\beta)(b \mbox{ mod }\beta)$. Some multipliers such -as those on the ARM processors take a variable length time to complete depending on the number of bytes of result it must produce. By performing -a single precision multiplication instead half the amount of time is spent. - -Also note that digit $\hat W_{ix}$ must have the carry from the $ix - 1$'th digit propagated upwards in order for this to work. That is what step -4.3 will do. In effect over the $n.used$ iterations of the outer loop the $n.used$'th lower columns all have the their carries propagated forwards. Note -how the upper bits of those same words are not reduced modulo $\beta$. This is because those values will be discarded shortly and there is no -point. - -Step 5 will propagate the remainder of the carries upwards. On step 6 the columns are reduced modulo $\beta$ and shifted simultaneously as they are -stored in the destination $x$. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_fast\_mp\_montgomery\_reduce.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The $\hat W$ array is first filled with digits of $x$ on line 48 then the rest of the digits are zeroed on line 55. Both loops share -the same alias variables to make the code easier to read. - -The value of $\mu$ is calculated in an interesting fashion. First the value $\hat W_{ix}$ is reduced modulo $\beta$ and cast to a mp\_digit. This -forces the compiler to use a single precision multiplication and prevents any concerns about loss of precision. Line 110 fixes the carry -for the next iteration of the loop by propagating the carry from $\hat W_{ix}$ to $\hat W_{ix+1}$. - -The for loop on line 109 propagates the rest of the carries upwards through the columns. The for loop on line 126 reduces the columns -modulo $\beta$ and shifts them $k$ places at the same time. The alias $\_ \hat W$ actually refers to the array $\hat W$ starting at the $n.used$'th -digit, that is $\_ \hat W_{t} = \hat W_{n.used + t}$. - -\subsection{Montgomery Setup} -To calculate the variable $\rho$ a relatively simple algorithm will be required. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_montgomery\_setup}. \\ -\textbf{Input}. mp\_int $n$ ($n > 1$ and $(n, 2) = 1$) \\ -\textbf{Output}. $\rho \equiv -1/n_0 \mbox{ (mod }\beta\mbox{)}$ \\ -\hline \\ -1. $b \leftarrow n_0$ \\ -2. If $b$ is even return(\textit{MP\_VAL}) \\ -3. $x \leftarrow (((b + 2) \mbox{ AND } 4) << 1) + b$ \\ -4. for $k$ from 0 to $\lceil lg(lg(\beta)) \rceil - 2$ do \\ -\hspace{3mm}4.1 $x \leftarrow x \cdot (2 - bx)$ \\ -5. $\rho \leftarrow \beta - x \mbox{ (mod }\beta\mbox{)}$ \\ -6. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_montgomery\_setup} -\end{figure} - -\textbf{Algorithm mp\_montgomery\_setup.} -This algorithm will calculate the value of $\rho$ required within the Montgomery reduction algorithms. It uses a very interesting trick -to calculate $1/n_0$ when $\beta$ is a power of two. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_montgomery\_setup.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This source code computes the value of $\rho$ required to perform Montgomery reduction. It has been modified to avoid performing excess -multiplications when $\beta$ is not the default 28-bits. - -\section{The Diminished Radix Algorithm} -The Diminished Radix method of modular reduction \cite{DRMET} is a fairly clever technique which can be more efficient than either the Barrett -or Montgomery methods for certain forms of moduli. The technique is based on the following simple congruence. - -\begin{equation} -(x \mbox{ mod } n) + k \lfloor x / n \rfloor \equiv x \mbox{ (mod }(n - k)\mbox{)} -\end{equation} - -This observation was used in the MMB \cite{MMB} block cipher to create a diffusion primitive. It used the fact that if $n = 2^{31}$ and $k=1$ that -then a x86 multiplier could produce the 62-bit product and use the ``shrd'' instruction to perform a double-precision right shift. The proof -of the above equation is very simple. First write $x$ in the product form. - -\begin{equation} -x = qn + r -\end{equation} - -Now reduce both sides modulo $(n - k)$. - -\begin{equation} -x \equiv qk + r \mbox{ (mod }(n-k)\mbox{)} -\end{equation} - -The variable $n$ reduces modulo $n - k$ to $k$. By putting $q = \lfloor x/n \rfloor$ and $r = x \mbox{ mod } n$ -into the equation the original congruence is reproduced, thus concluding the proof. The following algorithm is based on this observation. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Diminished Radix Reduction}. \\ -\textbf{Input}. Integer $x$, $n$, $k$ \\ -\textbf{Output}. $x \mbox{ mod } (n - k)$ \\ -\hline \\ -1. $q \leftarrow \lfloor x / n \rfloor$ \\ -2. $q \leftarrow k \cdot q$ \\ -3. $x \leftarrow x \mbox{ (mod }n\mbox{)}$ \\ -4. $x \leftarrow x + q$ \\ -5. If $x \ge (n - k)$ then \\ -\hspace{3mm}5.1 $x \leftarrow x - (n - k)$ \\ -\hspace{3mm}5.2 Goto step 1. \\ -6. Return $x$ \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Diminished Radix Reduction} -\label{fig:DR} -\end{figure} - -This algorithm will reduce $x$ modulo $n - k$ and return the residue. If $0 \le x < (n - k)^2$ then the algorithm will loop almost always -once or twice and occasionally three times. For simplicity sake the value of $x$ is bounded by the following simple polynomial. - -\begin{equation} -0 \le x < n^2 + k^2 - 2nk -\end{equation} - -The true bound is $0 \le x < (n - k - 1)^2$ but this has quite a few more terms. The value of $q$ after step 1 is bounded by the following. - -\begin{equation} -q < n - 2k - k^2/n -\end{equation} - -Since $k^2$ is going to be considerably smaller than $n$ that term will always be zero. The value of $x$ after step 3 is bounded trivially as -$0 \le x < n$. By step four the sum $x + q$ is bounded by - -\begin{equation} -0 \le q + x < (k + 1)n - 2k^2 - 1 -\end{equation} - -With a second pass $q$ will be loosely bounded by $0 \le q < k^2$ after step 2 while $x$ will still be loosely bounded by $0 \le x < n$ after step 3. After the second pass it is highly unlike that the -sum in step 4 will exceed $n - k$. In practice fewer than three passes of the algorithm are required to reduce virtually every input in the -range $0 \le x < (n - k - 1)^2$. - -\begin{figure} -\begin{small} -\begin{center} -\begin{tabular}{|l|} -\hline -$x = 123456789, n = 256, k = 3$ \\ -\hline $q \leftarrow \lfloor x/n \rfloor = 482253$ \\ -$q \leftarrow q*k = 1446759$ \\ -$x \leftarrow x \mbox{ mod } n = 21$ \\ -$x \leftarrow x + q = 1446780$ \\ -$x \leftarrow x - (n - k) = 1446527$ \\ -\hline -$q \leftarrow \lfloor x/n \rfloor = 5650$ \\ -$q \leftarrow q*k = 16950$ \\ -$x \leftarrow x \mbox{ mod } n = 127$ \\ -$x \leftarrow x + q = 17077$ \\ -$x \leftarrow x - (n - k) = 16824$ \\ -\hline -$q \leftarrow \lfloor x/n \rfloor = 65$ \\ -$q \leftarrow q*k = 195$ \\ -$x \leftarrow x \mbox{ mod } n = 184$ \\ -$x \leftarrow x + q = 379$ \\ -$x \leftarrow x - (n - k) = 126$ \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Example Diminished Radix Reduction} -\label{fig:EXDR} -\end{figure} - -Figure~\ref{fig:EXDR} demonstrates the reduction of $x = 123456789$ modulo $n - k = 253$ when $n = 256$ and $k = 3$. Note that even while $x$ -is considerably larger than $(n - k - 1)^2 = 63504$ the algorithm still converges on the modular residue exceedingly fast. In this case only -three passes were required to find the residue $x \equiv 126$. - - -\subsection{Choice of Moduli} -On the surface this algorithm looks like a very expensive algorithm. It requires a couple of subtractions followed by multiplication and other -modular reductions. The usefulness of this algorithm becomes exceedingly clear when an appropriate modulus is chosen. - -Division in general is a very expensive operation to perform. The one exception is when the division is by a power of the radix of representation used. -Division by ten for example is simple for pencil and paper mathematics since it amounts to shifting the decimal place to the right. Similarly division -by two (\textit{or powers of two}) is very simple for binary computers to perform. It would therefore seem logical to choose $n$ of the form $2^p$ -which would imply that $\lfloor x / n \rfloor$ is a simple shift of $x$ right $p$ bits. - -However, there is one operation related to division of power of twos that is even faster than this. If $n = \beta^p$ then the division may be -performed by moving whole digits to the right $p$ places. In practice division by $\beta^p$ is much faster than division by $2^p$ for any $p$. -Also with the choice of $n = \beta^p$ reducing $x$ modulo $n$ merely requires zeroing the digits above the $p-1$'th digit of $x$. - -Throughout the next section the term ``restricted modulus'' will refer to a modulus of the form $\beta^p - k$ whereas the term ``unrestricted -modulus'' will refer to a modulus of the form $2^p - k$. The word ``restricted'' in this case refers to the fact that it is based on the -$2^p$ logic except $p$ must be a multiple of $lg(\beta)$. - -\subsection{Choice of $k$} -Now that division and reduction (\textit{step 1 and 3 of figure~\ref{fig:DR}}) have been optimized to simple digit operations the multiplication by $k$ -in step 2 is the most expensive operation. Fortunately the choice of $k$ is not terribly limited. For all intents and purposes it might -as well be a single digit. The smaller the value of $k$ is the faster the algorithm will be. - -\subsection{Restricted Diminished Radix Reduction} -The restricted Diminished Radix algorithm can quickly reduce an input modulo a modulus of the form $n = \beta^p - k$. This algorithm can reduce -an input $x$ within the range $0 \le x < n^2$ using only a couple passes of the algorithm demonstrated in figure~\ref{fig:DR}. The implementation -of this algorithm has been optimized to avoid additional overhead associated with a division by $\beta^p$, the multiplication by $k$ or the addition -of $x$ and $q$. The resulting algorithm is very efficient and can lead to substantial improvements over Barrett and Montgomery reduction when modular -exponentiations are performed. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_dr\_reduce}. \\ -\textbf{Input}. mp\_int $x$, $n$ and a mp\_digit $k = \beta - n_0$ \\ -\hspace{11.5mm}($0 \le x < n^2$, $n > 1$, $0 < k < \beta$) \\ -\textbf{Output}. $x \mbox{ mod } n$ \\ -\hline \\ -1. $m \leftarrow n.used$ \\ -2. If $x.alloc < 2m$ then grow $x$ to $2m$ digits. \\ -3. $\mu \leftarrow 0$ \\ -4. for $i$ from $0$ to $m - 1$ do \\ -\hspace{3mm}4.1 $\hat r \leftarrow k \cdot x_{m+i} + x_{i} + \mu$ \\ -\hspace{3mm}4.2 $x_{i} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}4.3 $\mu \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -5. $x_{m} \leftarrow \mu$ \\ -6. for $i$ from $m + 1$ to $x.used - 1$ do \\ -\hspace{3mm}6.1 $x_{i} \leftarrow 0$ \\ -7. Clamp excess digits of $x$. \\ -8. If $x \ge n$ then \\ -\hspace{3mm}8.1 $x \leftarrow x - n$ \\ -\hspace{3mm}8.2 Goto step 3. \\ -9. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_dr\_reduce} -\end{figure} - -\textbf{Algorithm mp\_dr\_reduce.} -This algorithm will perform the Dimished Radix reduction of $x$ modulo $n$. It has similar restrictions to that of the Barrett reduction -with the addition that $n$ must be of the form $n = \beta^m - k$ where $0 < k <\beta$. - -This algorithm essentially implements the pseudo-code in figure~\ref{fig:DR} except with a slight optimization. The division by $\beta^m$, multiplication by $k$ -and addition of $x \mbox{ mod }\beta^m$ are all performed simultaneously inside the loop on step 4. The division by $\beta^m$ is emulated by accessing -the term at the $m+i$'th position which is subsequently multiplied by $k$ and added to the term at the $i$'th position. After the loop the $m$'th -digit is set to the carry and the upper digits are zeroed. Steps 5 and 6 emulate the reduction modulo $\beta^m$ that should have happend to -$x$ before the addition of the multiple of the upper half. - -At step 8 if $x$ is still larger than $n$ another pass of the algorithm is required. First $n$ is subtracted from $x$ and then the algorithm resumes -at step 3. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_dr\_reduce.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The first step is to grow $x$ as required to $2m$ digits since the reduction is performed in place on $x$. The label on line 52 is where -the algorithm will resume if further reduction passes are required. In theory it could be placed at the top of the function however, the size of -the modulus and question of whether $x$ is large enough are invariant after the first pass meaning that it would be a waste of time. - -The aliases $tmpx1$ and $tmpx2$ refer to the digits of $x$ where the latter is offset by $m$ digits. By reading digits from $x$ offset by $m$ digits -a division by $\beta^m$ can be simulated virtually for free. The loop on line 64 performs the bulk of the work (\textit{corresponds to step 4 of algorithm 7.11}) -in this algorithm. - -By line 67 the pointer $tmpx1$ points to the $m$'th digit of $x$ which is where the final carry will be placed. Similarly by line 74 the -same pointer will point to the $m+1$'th digit where the zeroes will be placed. - -Since the algorithm is only valid if both $x$ and $n$ are greater than zero an unsigned comparison suffices to determine if another pass is required. -With the same logic at line 81 the value of $x$ is known to be greater than or equal to $n$ meaning that an unsigned subtraction can be used -as well. Since the destination of the subtraction is the larger of the inputs the call to algorithm s\_mp\_sub cannot fail and the return code -does not need to be checked. - -\subsubsection{Setup} -To setup the restricted Diminished Radix algorithm the value $k = \beta - n_0$ is required. This algorithm is not really complicated but provided for -completeness. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_dr\_setup}. \\ -\textbf{Input}. mp\_int $n$ \\ -\textbf{Output}. $k = \beta - n_0$ \\ -\hline \\ -1. $k \leftarrow \beta - n_0$ \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_dr\_setup} -\end{figure} - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_dr\_setup.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\subsubsection{Modulus Detection} -Another algorithm which will be useful is the ability to detect a restricted Diminished Radix modulus. An integer is said to be -of restricted Diminished Radix form if all of the digits are equal to $\beta - 1$ except the trailing digit which may be any value. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_dr\_is\_modulus}. \\ -\textbf{Input}. mp\_int $n$ \\ -\textbf{Output}. $1$ if $n$ is in D.R form, $0$ otherwise \\ -\hline -1. If $n.used < 2$ then return($0$). \\ -2. for $ix$ from $1$ to $n.used - 1$ do \\ -\hspace{3mm}2.1 If $n_{ix} \ne \beta - 1$ return($0$). \\ -3. Return($1$). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_dr\_is\_modulus} -\end{figure} - -\textbf{Algorithm mp\_dr\_is\_modulus.} -This algorithm determines if a value is in Diminished Radix form. Step 1 rejects obvious cases where fewer than two digits are -in the mp\_int. Step 2 tests all but the first digit to see if they are equal to $\beta - 1$. If the algorithm manages to get to -step 3 then $n$ must be of Diminished Radix form. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_dr\_is\_modulus.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\subsection{Unrestricted Diminished Radix Reduction} -The unrestricted Diminished Radix algorithm allows modular reductions to be performed when the modulus is of the form $2^p - k$. This algorithm -is a straightforward adaptation of algorithm~\ref{fig:DR}. - -In general the restricted Diminished Radix reduction algorithm is much faster since it has considerably lower overhead. However, this new -algorithm is much faster than either Montgomery or Barrett reduction when the moduli are of the appropriate form. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_reduce\_2k}. \\ -\textbf{Input}. mp\_int $a$ and $n$. mp\_digit $k$ \\ -\hspace{11.5mm}($a \ge 0$, $n > 1$, $0 < k < \beta$, $n + k$ is a power of two) \\ -\textbf{Output}. $a \mbox{ (mod }n\mbox{)}$ \\ -\hline -1. $p \leftarrow \lceil lg(n) \rceil$ (\textit{mp\_count\_bits}) \\ -2. While $a \ge n$ do \\ -\hspace{3mm}2.1 $q \leftarrow \lfloor a / 2^p \rfloor$ (\textit{mp\_div\_2d}) \\ -\hspace{3mm}2.2 $a \leftarrow a \mbox{ (mod }2^p\mbox{)}$ (\textit{mp\_mod\_2d}) \\ -\hspace{3mm}2.3 $q \leftarrow q \cdot k$ (\textit{mp\_mul\_d}) \\ -\hspace{3mm}2.4 $a \leftarrow a - q$ (\textit{s\_mp\_sub}) \\ -\hspace{3mm}2.5 If $a \ge n$ then do \\ -\hspace{6mm}2.5.1 $a \leftarrow a - n$ \\ -3. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_reduce\_2k} -\end{figure} - -\textbf{Algorithm mp\_reduce\_2k.} -This algorithm quickly reduces an input $a$ modulo an unrestricted Diminished Radix modulus $n$. Division by $2^p$ is emulated with a right -shift which makes the algorithm fairly inexpensive to use. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_reduce\_2k.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The algorithm mp\_count\_bits calculates the number of bits in an mp\_int which is used to find the initial value of $p$. The call to mp\_div\_2d -on line 31 calculates both the quotient $q$ and the remainder $a$ required. By doing both in a single function call the code size -is kept fairly small. The multiplication by $k$ is only performed if $k > 1$. This allows reductions modulo $2^p - 1$ to be performed without -any multiplications. - -The unsigned s\_mp\_add, mp\_cmp\_mag and s\_mp\_sub are used in place of their full sign counterparts since the inputs are only valid if they are -positive. By using the unsigned versions the overhead is kept to a minimum. - -\subsubsection{Unrestricted Setup} -To setup this reduction algorithm the value of $k = 2^p - n$ is required. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_reduce\_2k\_setup}. \\ -\textbf{Input}. mp\_int $n$ \\ -\textbf{Output}. $k = 2^p - n$ \\ -\hline -1. $p \leftarrow \lceil lg(n) \rceil$ (\textit{mp\_count\_bits}) \\ -2. $x \leftarrow 2^p$ (\textit{mp\_2expt}) \\ -3. $x \leftarrow x - n$ (\textit{mp\_sub}) \\ -4. $k \leftarrow x_0$ \\ -5. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_reduce\_2k\_setup} -\end{figure} - -\textbf{Algorithm mp\_reduce\_2k\_setup.} -This algorithm computes the value of $k$ required for the algorithm mp\_reduce\_2k. By making a temporary variable $x$ equal to $2^p$ a subtraction -is sufficient to solve for $k$. Alternatively if $n$ has more than one digit the value of $k$ is simply $\beta - n_0$. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_reduce\_2k\_setup.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\subsubsection{Unrestricted Detection} -An integer $n$ is a valid unrestricted Diminished Radix modulus if either of the following are true. - -\begin{enumerate} -\item The number has only one digit. -\item The number has more than one digit and every bit from the $\beta$'th to the most significant is one. -\end{enumerate} - -If either condition is true than there is a power of two $2^p$ such that $0 < 2^p - n < \beta$. If the input is only -one digit than it will always be of the correct form. Otherwise all of the bits above the first digit must be one. This arises from the fact -that there will be value of $k$ that when added to the modulus causes a carry in the first digit which propagates all the way to the most -significant bit. The resulting sum will be a power of two. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_reduce\_is\_2k}. \\ -\textbf{Input}. mp\_int $n$ \\ -\textbf{Output}. $1$ if of proper form, $0$ otherwise \\ -\hline -1. If $n.used = 0$ then return($0$). \\ -2. If $n.used = 1$ then return($1$). \\ -3. $p \leftarrow \lceil lg(n) \rceil$ (\textit{mp\_count\_bits}) \\ -4. for $x$ from $lg(\beta)$ to $p$ do \\ -\hspace{3mm}4.1 If the ($x \mbox{ mod }lg(\beta)$)'th bit of the $\lfloor x / lg(\beta) \rfloor$ of $n$ is zero then return($0$). \\ -5. Return($1$). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_reduce\_is\_2k} -\end{figure} - -\textbf{Algorithm mp\_reduce\_is\_2k.} -This algorithm quickly determines if a modulus is of the form required for algorithm mp\_reduce\_2k to function properly. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_reduce\_is\_2k.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - - - -\section{Algorithm Comparison} -So far three very different algorithms for modular reduction have been discussed. Each of the algorithms have their own strengths and weaknesses -that makes having such a selection very useful. The following table sumarizes the three algorithms along with comparisons of work factors. Since -all three algorithms have the restriction that $0 \le x < n^2$ and $n > 1$ those limitations are not included in the table. - -\begin{center} -\begin{small} -\begin{tabular}{|c|c|c|c|c|c|} -\hline \textbf{Method} & \textbf{Work Required} & \textbf{Limitations} & \textbf{$m = 8$} & \textbf{$m = 32$} & \textbf{$m = 64$} \\ -\hline Barrett & $m^2 + 2m - 1$ & None & $79$ & $1087$ & $4223$ \\ -\hline Montgomery & $m^2 + m$ & $n$ must be odd & $72$ & $1056$ & $4160$ \\ -\hline D.R. & $2m$ & $n = \beta^m - k$ & $16$ & $64$ & $128$ \\ -\hline -\end{tabular} -\end{small} -\end{center} - -In theory Montgomery and Barrett reductions would require roughly the same amount of time to complete. However, in practice since Montgomery -reduction can be written as a single function with the Comba technique it is much faster. Barrett reduction suffers from the overhead of -calling the half precision multipliers, addition and division by $\beta$ algorithms. - -For almost every cryptographic algorithm Montgomery reduction is the algorithm of choice. The one set of algorithms where Diminished Radix reduction truly -shines are based on the discrete logarithm problem such as Diffie-Hellman \cite{DH} and ElGamal \cite{ELGAMAL}. In these algorithms -primes of the form $\beta^m - k$ can be found and shared amongst users. These primes will allow the Diminished Radix algorithm to be used in -modular exponentiation to greatly speed up the operation. - - - -\section*{Exercises} -\begin{tabular}{cl} -$\left [ 3 \right ]$ & Prove that the ``trick'' in algorithm mp\_montgomery\_setup actually \\ - & calculates the correct value of $\rho$. \\ - & \\ -$\left [ 2 \right ]$ & Devise an algorithm to reduce modulo $n + k$ for small $k$ quickly. \\ - & \\ -$\left [ 4 \right ]$ & Prove that the pseudo-code algorithm ``Diminished Radix Reduction'' \\ - & (\textit{figure~\ref{fig:DR}}) terminates. Also prove the probability that it will \\ - & terminate within $1 \le k \le 10$ iterations. \\ - & \\ -\end{tabular} - - -\chapter{Exponentiation} -Exponentiation is the operation of raising one variable to the power of another, for example, $a^b$. A variant of exponentiation, computed -in a finite field or ring, is called modular exponentiation. This latter style of operation is typically used in public key -cryptosystems such as RSA and Diffie-Hellman. The ability to quickly compute modular exponentiations is of great benefit to any -such cryptosystem and many methods have been sought to speed it up. - -\section{Exponentiation Basics} -A trivial algorithm would simply multiply $a$ against itself $b - 1$ times to compute the exponentiation desired. However, as $b$ grows in size -the number of multiplications becomes prohibitive. Imagine what would happen if $b$ $\approx$ $2^{1024}$ as is the case when computing an RSA signature -with a $1024$-bit key. Such a calculation could never be completed as it would take simply far too long. - -Fortunately there is a very simple algorithm based on the laws of exponents. Recall that $lg_a(a^b) = b$ and that $lg_a(a^ba^c) = b + c$ which -are two trivial relationships between the base and the exponent. Let $b_i$ represent the $i$'th bit of $b$ starting from the least -significant bit. If $b$ is a $k$-bit integer than the following equation is true. - -\begin{equation} -a^b = \prod_{i=0}^{k-1} a^{2^i \cdot b_i} -\end{equation} - -By taking the base $a$ logarithm of both sides of the equation the following equation is the result. - -\begin{equation} -b = \sum_{i=0}^{k-1}2^i \cdot b_i -\end{equation} - -The term $a^{2^i}$ can be found from the $i - 1$'th term by squaring the term since $\left ( a^{2^i} \right )^2$ is equal to -$a^{2^{i+1}}$. This observation forms the basis of essentially all fast exponentiation algorithms. It requires $k$ squarings and on average -$k \over 2$ multiplications to compute the result. This is indeed quite an improvement over simply multiplying by $a$ a total of $b-1$ times. - -While this current method is a considerable speed up there are further improvements to be made. For example, the $a^{2^i}$ term does not need to -be computed in an auxilary variable. Consider the following equivalent algorithm. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Left to Right Exponentiation}. \\ -\textbf{Input}. Integer $a$, $b$ and $k$ \\ -\textbf{Output}. $c = a^b$ \\ -\hline \\ -1. $c \leftarrow 1$ \\ -2. for $i$ from $k - 1$ to $0$ do \\ -\hspace{3mm}2.1 $c \leftarrow c^2$ \\ -\hspace{3mm}2.2 $c \leftarrow c \cdot a^{b_i}$ \\ -3. Return $c$. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Left to Right Exponentiation} -\label{fig:LTOR} -\end{figure} - -This algorithm starts from the most significant bit and works towards the least significant bit. When the $i$'th bit of $b$ is set $a$ is -multiplied against the current product. In each iteration the product is squared which doubles the exponent of the individual terms of the -product. - -For example, let $b = 101100_2 \equiv 44_{10}$. The following chart demonstrates the actions of the algorithm. - -\newpage\begin{figure} -\begin{center} -\begin{tabular}{|c|c|} -\hline \textbf{Value of $i$} & \textbf{Value of $c$} \\ -\hline - & $1$ \\ -\hline $5$ & $a$ \\ -\hline $4$ & $a^2$ \\ -\hline $3$ & $a^4 \cdot a$ \\ -\hline $2$ & $a^8 \cdot a^2 \cdot a$ \\ -\hline $1$ & $a^{16} \cdot a^4 \cdot a^2$ \\ -\hline $0$ & $a^{32} \cdot a^8 \cdot a^4$ \\ -\hline -\end{tabular} -\end{center} -\caption{Example of Left to Right Exponentiation} -\end{figure} - -When the product $a^{32} \cdot a^8 \cdot a^4$ is simplified it is equal $a^{44}$ which is the desired exponentiation. This particular algorithm is -called ``Left to Right'' because it reads the exponent in that order. All of the exponentiation algorithms that will be presented are of this nature. - -\subsection{Single Digit Exponentiation} -The first algorithm in the series of exponentiation algorithms will be an unbounded algorithm where the exponent is a single digit. It is intended -to be used when a small power of an input is required (\textit{e.g. $a^5$}). It is faster than simply multiplying $b - 1$ times for all values of -$b$ that are greater than three. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_expt\_d}. \\ -\textbf{Input}. mp\_int $a$ and mp\_digit $b$ \\ -\textbf{Output}. $c = a^b$ \\ -\hline \\ -1. $g \leftarrow a$ (\textit{mp\_init\_copy}) \\ -2. $c \leftarrow 1$ (\textit{mp\_set}) \\ -3. for $x$ from 1 to $lg(\beta)$ do \\ -\hspace{3mm}3.1 $c \leftarrow c^2$ (\textit{mp\_sqr}) \\ -\hspace{3mm}3.2 If $b$ AND $2^{lg(\beta) - 1} \ne 0$ then \\ -\hspace{6mm}3.2.1 $c \leftarrow c \cdot g$ (\textit{mp\_mul}) \\ -\hspace{3mm}3.3 $b \leftarrow b << 1$ \\ -4. Clear $g$. \\ -5. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_expt\_d} -\end{figure} - -\textbf{Algorithm mp\_expt\_d.} -This algorithm computes the value of $a$ raised to the power of a single digit $b$. It uses the left to right exponentiation algorithm to -quickly compute the exponentiation. It is loosely based on algorithm 14.79 of HAC \cite[pp. 615]{HAC} with the difference that the -exponent is a fixed width. - -A copy of $a$ is made first to allow destination variable $c$ be the same as the source variable $a$. The result is set to the initial value of -$1$ in the subsequent step. - -Inside the loop the exponent is read from the most significant bit first down to the least significant bit. First $c$ is invariably squared -on step 3.1. In the following step if the most significant bit of $b$ is one the copy of $a$ is multiplied against $c$. The value -of $b$ is shifted left one bit to make the next bit down from the most signficant bit the new most significant bit. In effect each -iteration of the loop moves the bits of the exponent $b$ upwards to the most significant location. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_expt\_d.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Line 29 sets the initial value of the result to $1$. Next the loop on line 31 steps through each bit of the exponent starting from -the most significant down towards the least significant. The invariant squaring operation placed on line 33 is performed first. After -the squaring the result $c$ is multiplied by the base $g$ if and only if the most significant bit of the exponent is set. The shift on line -47 moves all of the bits of the exponent upwards towards the most significant location. - -\section{$k$-ary Exponentiation} -When calculating an exponentiation the most time consuming bottleneck is the multiplications which are in general a small factor -slower than squaring. Recall from the previous algorithm that $b_{i}$ refers to the $i$'th bit of the exponent $b$. Suppose instead it referred to -the $i$'th $k$-bit digit of the exponent of $b$. For $k = 1$ the definitions are synonymous and for $k > 1$ algorithm~\ref{fig:KARY} -computes the same exponentiation. A group of $k$ bits from the exponent is called a \textit{window}. That is it is a small window on only a -portion of the entire exponent. Consider the following modification to the basic left to right exponentiation algorithm. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{$k$-ary Exponentiation}. \\ -\textbf{Input}. Integer $a$, $b$, $k$ and $t$ \\ -\textbf{Output}. $c = a^b$ \\ -\hline \\ -1. $c \leftarrow 1$ \\ -2. for $i$ from $t - 1$ to $0$ do \\ -\hspace{3mm}2.1 $c \leftarrow c^{2^k} $ \\ -\hspace{3mm}2.2 Extract the $i$'th $k$-bit word from $b$ and store it in $g$. \\ -\hspace{3mm}2.3 $c \leftarrow c \cdot a^g$ \\ -3. Return $c$. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{$k$-ary Exponentiation} -\label{fig:KARY} -\end{figure} - -The squaring on step 2.1 can be calculated by squaring the value $c$ successively $k$ times. If the values of $a^g$ for $0 < g < 2^k$ have been -precomputed this algorithm requires only $t$ multiplications and $tk$ squarings. The table can be generated with $2^{k - 1} - 1$ squarings and -$2^{k - 1} + 1$ multiplications. This algorithm assumes that the number of bits in the exponent is evenly divisible by $k$. -However, when it is not the remaining $0 < x \le k - 1$ bits can be handled with algorithm~\ref{fig:LTOR}. - -Suppose $k = 4$ and $t = 100$. This modified algorithm will require $109$ multiplications and $408$ squarings to compute the exponentiation. The -original algorithm would on average have required $200$ multiplications and $400$ squrings to compute the same value. The total number of squarings -has increased slightly but the number of multiplications has nearly halved. - -\subsection{Optimal Values of $k$} -An optimal value of $k$ will minimize $2^{k} + \lceil n / k \rceil + n - 1$ for a fixed number of bits in the exponent $n$. The simplest -approach is to brute force search amongst the values $k = 2, 3, \ldots, 8$ for the lowest result. Table~\ref{fig:OPTK} lists optimal values of $k$ -for various exponent sizes and compares the number of multiplication and squarings required against algorithm~\ref{fig:LTOR}. - -\begin{figure}[here] -\begin{center} -\begin{small} -\begin{tabular}{|c|c|c|c|c|c|} -\hline \textbf{Exponent (bits)} & \textbf{Optimal $k$} & \textbf{Work at $k$} & \textbf{Work with ~\ref{fig:LTOR}} \\ -\hline $16$ & $2$ & $27$ & $24$ \\ -\hline $32$ & $3$ & $49$ & $48$ \\ -\hline $64$ & $3$ & $92$ & $96$ \\ -\hline $128$ & $4$ & $175$ & $192$ \\ -\hline $256$ & $4$ & $335$ & $384$ \\ -\hline $512$ & $5$ & $645$ & $768$ \\ -\hline $1024$ & $6$ & $1257$ & $1536$ \\ -\hline $2048$ & $6$ & $2452$ & $3072$ \\ -\hline $4096$ & $7$ & $4808$ & $6144$ \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Optimal Values of $k$ for $k$-ary Exponentiation} -\label{fig:OPTK} -\end{figure} - -\subsection{Sliding-Window Exponentiation} -A simple modification to the previous algorithm is only generate the upper half of the table in the range $2^{k-1} \le g < 2^k$. Essentially -this is a table for all values of $g$ where the most significant bit of $g$ is a one. However, in order for this to be allowed in the -algorithm values of $g$ in the range $0 \le g < 2^{k-1}$ must be avoided. - -Table~\ref{fig:OPTK2} lists optimal values of $k$ for various exponent sizes and compares the work required against algorithm~\ref{fig:KARY}. - -\begin{figure}[here] -\begin{center} -\begin{small} -\begin{tabular}{|c|c|c|c|c|c|} -\hline \textbf{Exponent (bits)} & \textbf{Optimal $k$} & \textbf{Work at $k$} & \textbf{Work with ~\ref{fig:KARY}} \\ -\hline $16$ & $3$ & $24$ & $27$ \\ -\hline $32$ & $3$ & $45$ & $49$ \\ -\hline $64$ & $4$ & $87$ & $92$ \\ -\hline $128$ & $4$ & $167$ & $175$ \\ -\hline $256$ & $5$ & $322$ & $335$ \\ -\hline $512$ & $6$ & $628$ & $645$ \\ -\hline $1024$ & $6$ & $1225$ & $1257$ \\ -\hline $2048$ & $7$ & $2403$ & $2452$ \\ -\hline $4096$ & $8$ & $4735$ & $4808$ \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Optimal Values of $k$ for Sliding Window Exponentiation} -\label{fig:OPTK2} -\end{figure} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Sliding Window $k$-ary Exponentiation}. \\ -\textbf{Input}. Integer $a$, $b$, $k$ and $t$ \\ -\textbf{Output}. $c = a^b$ \\ -\hline \\ -1. $c \leftarrow 1$ \\ -2. for $i$ from $t - 1$ to $0$ do \\ -\hspace{3mm}2.1 If the $i$'th bit of $b$ is a zero then \\ -\hspace{6mm}2.1.1 $c \leftarrow c^2$ \\ -\hspace{3mm}2.2 else do \\ -\hspace{6mm}2.2.1 $c \leftarrow c^{2^k}$ \\ -\hspace{6mm}2.2.2 Extract the $k$ bits from $(b_{i}b_{i-1}\ldots b_{i-(k-1)})$ and store it in $g$. \\ -\hspace{6mm}2.2.3 $c \leftarrow c \cdot a^g$ \\ -\hspace{6mm}2.2.4 $i \leftarrow i - k$ \\ -3. Return $c$. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Sliding Window $k$-ary Exponentiation} -\end{figure} - -Similar to the previous algorithm this algorithm must have a special handler when fewer than $k$ bits are left in the exponent. While this -algorithm requires the same number of squarings it can potentially have fewer multiplications. The pre-computed table $a^g$ is also half -the size as the previous table. - -Consider the exponent $b = 111101011001000_2 \equiv 31432_{10}$ with $k = 3$ using both algorithms. The first algorithm will divide the exponent up as -the following five $3$-bit words $b \equiv \left ( 111, 101, 011, 001, 000 \right )_{2}$. The second algorithm will break the -exponent as $b \equiv \left ( 111, 101, 0, 110, 0, 100, 0 \right )_{2}$. The single digit $0$ in the second representation are where -a single squaring took place instead of a squaring and multiplication. In total the first method requires $10$ multiplications and $18$ -squarings. The second method requires $8$ multiplications and $18$ squarings. - -In general the sliding window method is never slower than the generic $k$-ary method and often it is slightly faster. - -\section{Modular Exponentiation} - -Modular exponentiation is essentially computing the power of a base within a finite field or ring. For example, computing -$d \equiv a^b \mbox{ (mod }c\mbox{)}$ is a modular exponentiation. Instead of first computing $a^b$ and then reducing it -modulo $c$ the intermediate result is reduced modulo $c$ after every squaring or multiplication operation. - -This guarantees that any intermediate result is bounded by $0 \le d \le c^2 - 2c + 1$ and can be reduced modulo $c$ quickly using -one of the algorithms presented in chapter six. - -Before the actual modular exponentiation algorithm can be written a wrapper algorithm must be written first. This algorithm -will allow the exponent $b$ to be negative which is computed as $c \equiv \left (1 / a \right )^{\vert b \vert} \mbox{(mod }d\mbox{)}$. The -value of $(1/a) \mbox{ mod }c$ is computed using the modular inverse (\textit{see \ref{sec;modinv}}). If no inverse exists the algorithm -terminates with an error. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_exptmod}. \\ -\textbf{Input}. mp\_int $a$, $b$ and $c$ \\ -\textbf{Output}. $y \equiv g^x \mbox{ (mod }p\mbox{)}$ \\ -\hline \\ -1. If $c.sign = MP\_NEG$ return(\textit{MP\_VAL}). \\ -2. If $b.sign = MP\_NEG$ then \\ -\hspace{3mm}2.1 $g' \leftarrow g^{-1} \mbox{ (mod }c\mbox{)}$ \\ -\hspace{3mm}2.2 $x' \leftarrow \vert x \vert$ \\ -\hspace{3mm}2.3 Compute $d \equiv g'^{x'} \mbox{ (mod }c\mbox{)}$ via recursion. \\ -3. if $p$ is odd \textbf{OR} $p$ is a D.R. modulus then \\ -\hspace{3mm}3.1 Compute $y \equiv g^{x} \mbox{ (mod }p\mbox{)}$ via algorithm mp\_exptmod\_fast. \\ -4. else \\ -\hspace{3mm}4.1 Compute $y \equiv g^{x} \mbox{ (mod }p\mbox{)}$ via algorithm s\_mp\_exptmod. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_exptmod} -\end{figure} - -\textbf{Algorithm mp\_exptmod.} -The first algorithm which actually performs modular exponentiation is algorithm s\_mp\_exptmod. It is a sliding window $k$-ary algorithm -which uses Barrett reduction to reduce the product modulo $p$. The second algorithm mp\_exptmod\_fast performs the same operation -except it uses either Montgomery or Diminished Radix reduction. The two latter reduction algorithms are clumped in the same exponentiation -algorithm since their arguments are essentially the same (\textit{two mp\_ints and one mp\_digit}). - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_exptmod.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -In order to keep the algorithms in a known state the first step on line 29 is to reject any negative modulus as input. If the exponent is -negative the algorithm tries to perform a modular exponentiation with the modular inverse of the base $G$. The temporary variable $tmpG$ is assigned -the modular inverse of $G$ and $tmpX$ is assigned the absolute value of $X$. The algorithm will recuse with these new values with a positive -exponent. - -If the exponent is positive the algorithm resumes the exponentiation. Line 77 determines if the modulus is of the restricted Diminished Radix -form. If it is not line 70 attempts to determine if it is of a unrestricted Diminished Radix form. The integer $dr$ will take on one -of three values. - -\begin{enumerate} -\item $dr = 0$ means that the modulus is not of either restricted or unrestricted Diminished Radix form. -\item $dr = 1$ means that the modulus is of restricted Diminished Radix form. -\item $dr = 2$ means that the modulus is of unrestricted Diminished Radix form. -\end{enumerate} - -Line 69 determines if the fast modular exponentiation algorithm can be used. It is allowed if $dr \ne 0$ or if the modulus is odd. Otherwise, -the slower s\_mp\_exptmod algorithm is used which uses Barrett reduction. - -\subsection{Barrett Modular Exponentiation} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{s\_mp\_exptmod}. \\ -\textbf{Input}. mp\_int $a$, $b$ and $c$ \\ -\textbf{Output}. $y \equiv g^x \mbox{ (mod }p\mbox{)}$ \\ -\hline \\ -1. $k \leftarrow lg(x)$ \\ -2. $winsize \leftarrow \left \lbrace \begin{array}{ll} - 2 & \mbox{if }k \le 7 \\ - 3 & \mbox{if }7 < k \le 36 \\ - 4 & \mbox{if }36 < k \le 140 \\ - 5 & \mbox{if }140 < k \le 450 \\ - 6 & \mbox{if }450 < k \le 1303 \\ - 7 & \mbox{if }1303 < k \le 3529 \\ - 8 & \mbox{if }3529 < k \\ - \end{array} \right .$ \\ -3. Initialize $2^{winsize}$ mp\_ints in an array named $M$ and one mp\_int named $\mu$ \\ -4. Calculate the $\mu$ required for Barrett Reduction (\textit{mp\_reduce\_setup}). \\ -5. $M_1 \leftarrow g \mbox{ (mod }p\mbox{)}$ \\ -\\ -Setup the table of small powers of $g$. First find $g^{2^{winsize}}$ and then all multiples of it. \\ -6. $k \leftarrow 2^{winsize - 1}$ \\ -7. $M_{k} \leftarrow M_1$ \\ -8. for $ix$ from 0 to $winsize - 2$ do \\ -\hspace{3mm}8.1 $M_k \leftarrow \left ( M_k \right )^2$ (\textit{mp\_sqr}) \\ -\hspace{3mm}8.2 $M_k \leftarrow M_k \mbox{ (mod }p\mbox{)}$ (\textit{mp\_reduce}) \\ -9. for $ix$ from $2^{winsize - 1} + 1$ to $2^{winsize} - 1$ do \\ -\hspace{3mm}9.1 $M_{ix} \leftarrow M_{ix - 1} \cdot M_{1}$ (\textit{mp\_mul}) \\ -\hspace{3mm}9.2 $M_{ix} \leftarrow M_{ix} \mbox{ (mod }p\mbox{)}$ (\textit{mp\_reduce}) \\ -10. $res \leftarrow 1$ \\ -\\ -Start Sliding Window. \\ -11. $mode \leftarrow 0, bitcnt \leftarrow 1, buf \leftarrow 0, digidx \leftarrow x.used - 1, bitcpy \leftarrow 0, bitbuf \leftarrow 0$ \\ -12. Loop \\ -\hspace{3mm}12.1 $bitcnt \leftarrow bitcnt - 1$ \\ -\hspace{3mm}12.2 If $bitcnt = 0$ then do \\ -\hspace{6mm}12.2.1 If $digidx = -1$ goto step 13. \\ -\hspace{6mm}12.2.2 $buf \leftarrow x_{digidx}$ \\ -\hspace{6mm}12.2.3 $digidx \leftarrow digidx - 1$ \\ -\hspace{6mm}12.2.4 $bitcnt \leftarrow lg(\beta)$ \\ -Continued on next page. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm s\_mp\_exptmod} -\end{figure} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{s\_mp\_exptmod} (\textit{continued}). \\ -\textbf{Input}. mp\_int $a$, $b$ and $c$ \\ -\textbf{Output}. $y \equiv g^x \mbox{ (mod }p\mbox{)}$ \\ -\hline \\ -\hspace{3mm}12.3 $y \leftarrow (buf >> (lg(\beta) - 1))$ AND $1$ \\ -\hspace{3mm}12.4 $buf \leftarrow buf << 1$ \\ -\hspace{3mm}12.5 if $mode = 0$ and $y = 0$ then goto step 12. \\ -\hspace{3mm}12.6 if $mode = 1$ and $y = 0$ then do \\ -\hspace{6mm}12.6.1 $res \leftarrow res^2$ \\ -\hspace{6mm}12.6.2 $res \leftarrow res \mbox{ (mod }p\mbox{)}$ \\ -\hspace{6mm}12.6.3 Goto step 12. \\ -\hspace{3mm}12.7 $bitcpy \leftarrow bitcpy + 1$ \\ -\hspace{3mm}12.8 $bitbuf \leftarrow bitbuf + (y << (winsize - bitcpy))$ \\ -\hspace{3mm}12.9 $mode \leftarrow 2$ \\ -\hspace{3mm}12.10 If $bitcpy = winsize$ then do \\ -\hspace{6mm}Window is full so perform the squarings and single multiplication. \\ -\hspace{6mm}12.10.1 for $ix$ from $0$ to $winsize -1$ do \\ -\hspace{9mm}12.10.1.1 $res \leftarrow res^2$ \\ -\hspace{9mm}12.10.1.2 $res \leftarrow res \mbox{ (mod }p\mbox{)}$ \\ -\hspace{6mm}12.10.2 $res \leftarrow res \cdot M_{bitbuf}$ \\ -\hspace{6mm}12.10.3 $res \leftarrow res \mbox{ (mod }p\mbox{)}$ \\ -\hspace{6mm}Reset the window. \\ -\hspace{6mm}12.10.4 $bitcpy \leftarrow 0, bitbuf \leftarrow 0, mode \leftarrow 1$ \\ -\\ -No more windows left. Check for residual bits of exponent. \\ -13. If $mode = 2$ and $bitcpy > 0$ then do \\ -\hspace{3mm}13.1 for $ix$ form $0$ to $bitcpy - 1$ do \\ -\hspace{6mm}13.1.1 $res \leftarrow res^2$ \\ -\hspace{6mm}13.1.2 $res \leftarrow res \mbox{ (mod }p\mbox{)}$ \\ -\hspace{6mm}13.1.3 $bitbuf \leftarrow bitbuf << 1$ \\ -\hspace{6mm}13.1.4 If $bitbuf$ AND $2^{winsize} \ne 0$ then do \\ -\hspace{9mm}13.1.4.1 $res \leftarrow res \cdot M_{1}$ \\ -\hspace{9mm}13.1.4.2 $res \leftarrow res \mbox{ (mod }p\mbox{)}$ \\ -14. $y \leftarrow res$ \\ -15. Clear $res$, $mu$ and the $M$ array. \\ -16. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm s\_mp\_exptmod (continued)} -\end{figure} - -\textbf{Algorithm s\_mp\_exptmod.} -This algorithm computes the $x$'th power of $g$ modulo $p$ and stores the result in $y$. It takes advantage of the Barrett reduction -algorithm to keep the product small throughout the algorithm. - -The first two steps determine the optimal window size based on the number of bits in the exponent. The larger the exponent the -larger the window size becomes. After a window size $winsize$ has been chosen an array of $2^{winsize}$ mp\_int variables is allocated. This -table will hold the values of $g^x \mbox{ (mod }p\mbox{)}$ for $2^{winsize - 1} \le x < 2^{winsize}$. - -After the table is allocated the first power of $g$ is found. Since $g \ge p$ is allowed it must be first reduced modulo $p$ to make -the rest of the algorithm more efficient. The first element of the table at $2^{winsize - 1}$ is found by squaring $M_1$ successively $winsize - 2$ -times. The rest of the table elements are found by multiplying the previous element by $M_1$ modulo $p$. - -Now that the table is available the sliding window may begin. The following list describes the functions of all the variables in the window. -\begin{enumerate} -\item The variable $mode$ dictates how the bits of the exponent are interpreted. -\begin{enumerate} - \item When $mode = 0$ the bits are ignored since no non-zero bit of the exponent has been seen yet. For example, if the exponent were simply - $1$ then there would be $lg(\beta) - 1$ zero bits before the first non-zero bit. In this case bits are ignored until a non-zero bit is found. - \item When $mode = 1$ a non-zero bit has been seen before and a new $winsize$-bit window has not been formed yet. In this mode leading $0$ bits - are read and a single squaring is performed. If a non-zero bit is read a new window is created. - \item When $mode = 2$ the algorithm is in the middle of forming a window and new bits are appended to the window from the most significant bit - downwards. -\end{enumerate} -\item The variable $bitcnt$ indicates how many bits are left in the current digit of the exponent left to be read. When it reaches zero a new digit - is fetched from the exponent. -\item The variable $buf$ holds the currently read digit of the exponent. -\item The variable $digidx$ is an index into the exponents digits. It starts at the leading digit $x.used - 1$ and moves towards the trailing digit. -\item The variable $bitcpy$ indicates how many bits are in the currently formed window. When it reaches $winsize$ the window is flushed and - the appropriate operations performed. -\item The variable $bitbuf$ holds the current bits of the window being formed. -\end{enumerate} - -All of step 12 is the window processing loop. It will iterate while there are digits available form the exponent to read. The first step -inside this loop is to extract a new digit if no more bits are available in the current digit. If there are no bits left a new digit is -read and if there are no digits left than the loop terminates. - -After a digit is made available step 12.3 will extract the most significant bit of the current digit and move all other bits in the digit -upwards. In effect the digit is read from most significant bit to least significant bit and since the digits are read from leading to -trailing edges the entire exponent is read from most significant bit to least significant bit. - -At step 12.5 if the $mode$ and currently extracted bit $y$ are both zero the bit is ignored and the next bit is read. This prevents the -algorithm from having to perform trivial squaring and reduction operations before the first non-zero bit is read. Step 12.6 and 12.7-10 handle -the two cases of $mode = 1$ and $mode = 2$ respectively. - -\begin{center} -\begin{figure}[here] -\includegraphics{pics/expt_state.ps} -\caption{Sliding Window State Diagram} -\label{pic:expt_state} -\end{figure} -\end{center} - -By step 13 there are no more digits left in the exponent. However, there may be partial bits in the window left. If $mode = 2$ then -a Left-to-Right algorithm is used to process the remaining few bits. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_s\_mp\_exptmod.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Lines 32 through 46 determine the optimal window size based on the length of the exponent in bits. The window divisions are sorted -from smallest to greatest so that in each \textbf{if} statement only one condition must be tested. For example, by the \textbf{if} statement -on line 38 the value of $x$ is already known to be greater than $140$. - -The conditional piece of code beginning on line 48 allows the window size to be restricted to five bits. This logic is used to ensure -the table of precomputed powers of $G$ remains relatively small. - -The for loop on line 61 initializes the $M$ array while lines 72 and 77 through 86 initialize the reduction -function that will be used for this modulus. - --- More later. - -\section{Quick Power of Two} -Calculating $b = 2^a$ can be performed much quicker than with any of the previous algorithms. Recall that a logical shift left $m << k$ is -equivalent to $m \cdot 2^k$. By this logic when $m = 1$ a quick power of two can be achieved. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_2expt}. \\ -\textbf{Input}. integer $b$ \\ -\textbf{Output}. $a \leftarrow 2^b$ \\ -\hline \\ -1. $a \leftarrow 0$ \\ -2. If $a.alloc < \lfloor b / lg(\beta) \rfloor + 1$ then grow $a$ appropriately. \\ -3. $a.used \leftarrow \lfloor b / lg(\beta) \rfloor + 1$ \\ -4. $a_{\lfloor b / lg(\beta) \rfloor} \leftarrow 1 << (b \mbox{ mod } lg(\beta))$ \\ -5. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_2expt} -\end{figure} - -\textbf{Algorithm mp\_2expt.} - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_2expt.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\chapter{Higher Level Algorithms} - -This chapter discusses the various higher level algorithms that are required to complete a well rounded multiple precision integer package. These -routines are less performance oriented than the algorithms of chapters five, six and seven but are no less important. - -The first section describes a method of integer division with remainder that is universally well known. It provides the signed division logic -for the package. The subsequent section discusses a set of algorithms which allow a single digit to be the 2nd operand for a variety of operations. -These algorithms serve mostly to simplify other algorithms where small constants are required. The last two sections discuss how to manipulate -various representations of integers. For example, converting from an mp\_int to a string of character. - -\section{Integer Division with Remainder} -\label{sec:division} - -Integer division aside from modular exponentiation is the most intensive algorithm to compute. Like addition, subtraction and multiplication -the basis of this algorithm is the long-hand division algorithm taught to school children. Throughout this discussion several common variables -will be used. Let $x$ represent the divisor and $y$ represent the dividend. Let $q$ represent the integer quotient $\lfloor y / x \rfloor$ and -let $r$ represent the remainder $r = y - x \lfloor y / x \rfloor$. The following simple algorithm will be used to start the discussion. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Radix-$\beta$ Integer Division}. \\ -\textbf{Input}. integer $x$ and $y$ \\ -\textbf{Output}. $q = \lfloor y/x\rfloor, r = y - xq$ \\ -\hline \\ -1. $q \leftarrow 0$ \\ -2. $n \leftarrow \vert \vert y \vert \vert - \vert \vert x \vert \vert$ \\ -3. for $t$ from $n$ down to $0$ do \\ -\hspace{3mm}3.1 Maximize $k$ such that $kx\beta^t$ is less than or equal to $y$ and $(k + 1)x\beta^t$ is greater. \\ -\hspace{3mm}3.2 $q \leftarrow q + k\beta^t$ \\ -\hspace{3mm}3.3 $y \leftarrow y - kx\beta^t$ \\ -4. $r \leftarrow y$ \\ -5. Return($q, r$) \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Radix-$\beta$ Integer Division} -\label{fig:raddiv} -\end{figure} - -As children we are taught this very simple algorithm for the case of $\beta = 10$. Almost instinctively several optimizations are taught for which -their reason of existing are never explained. For this example let $y = 5471$ represent the dividend and $x = 23$ represent the divisor. - -To find the first digit of the quotient the value of $k$ must be maximized such that $kx\beta^t$ is less than or equal to $y$ and -simultaneously $(k + 1)x\beta^t$ is greater than $y$. Implicitly $k$ is the maximum value the $t$'th digit of the quotient may have. The habitual method -used to find the maximum is to ``eyeball'' the two numbers, typically only the leading digits and quickly estimate a quotient. By only using leading -digits a much simpler division may be used to form an educated guess at what the value must be. In this case $k = \lfloor 54/23\rfloor = 2$ quickly -arises as a possible solution. Indeed $2x\beta^2 = 4600$ is less than $y = 5471$ and simultaneously $(k + 1)x\beta^2 = 6900$ is larger than $y$. -As a result $k\beta^2$ is added to the quotient which now equals $q = 200$ and $4600$ is subtracted from $y$ to give a remainder of $y = 841$. - -Again this process is repeated to produce the quotient digit $k = 3$ which makes the quotient $q = 200 + 3\beta = 230$ and the remainder -$y = 841 - 3x\beta = 181$. Finally the last iteration of the loop produces $k = 7$ which leads to the quotient $q = 230 + 7 = 237$ and the -remainder $y = 181 - 7x = 20$. The final quotient and remainder found are $q = 237$ and $r = y = 20$ which are indeed correct since -$237 \cdot 23 + 20 = 5471$ is true. - -\subsection{Quotient Estimation} -\label{sec:divest} -As alluded to earlier the quotient digit $k$ can be estimated from only the leading digits of both the divisor and dividend. When $p$ leading -digits are used from both the divisor and dividend to form an estimation the accuracy of the estimation rises as $p$ grows. Technically -speaking the estimation is based on assuming the lower $\vert \vert y \vert \vert - p$ and $\vert \vert x \vert \vert - p$ lower digits of the -dividend and divisor are zero. - -The value of the estimation may off by a few values in either direction and in general is fairly correct. A simplification \cite[pp. 271]{TAOCPV2} -of the estimation technique is to use $t + 1$ digits of the dividend and $t$ digits of the divisor, in particularly when $t = 1$. The estimate -using this technique is never too small. For the following proof let $t = \vert \vert y \vert \vert - 1$ and $s = \vert \vert x \vert \vert - 1$ -represent the most significant digits of the dividend and divisor respectively. - -\textbf{Proof.}\textit{ The quotient $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ is greater than or equal to -$k = \lfloor y / (x \cdot \beta^{\vert \vert y \vert \vert - \vert \vert x \vert \vert - 1}) \rfloor$. } -The first obvious case is when $\hat k = \beta - 1$ in which case the proof is concluded since the real quotient cannot be larger. For all other -cases $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ and $\hat k x_s \ge y_t\beta + y_{t-1} - x_s + 1$. The latter portion of the inequalility -$-x_s + 1$ arises from the fact that a truncated integer division will give the same quotient for at most $x_s - 1$ values. Next a series of -inequalities will prove the hypothesis. - -\begin{equation} -y - \hat k x \le y - \hat k x_s\beta^s -\end{equation} - -This is trivially true since $x \ge x_s\beta^s$. Next we replace $\hat kx_s\beta^s$ by the previous inequality for $\hat kx_s$. - -\begin{equation} -y - \hat k x \le y_t\beta^t + \ldots + y_0 - (y_t\beta^t + y_{t-1}\beta^{t-1} - x_s\beta^t + \beta^s) -\end{equation} - -By simplifying the previous inequality the following inequality is formed. - -\begin{equation} -y - \hat k x \le y_{t-2}\beta^{t-2} + \ldots + y_0 + x_s\beta^s - \beta^s -\end{equation} - -Subsequently, - -\begin{equation} -y_{t-2}\beta^{t-2} + \ldots + y_0 + x_s\beta^s - \beta^s < x_s\beta^s \le x -\end{equation} - -Which proves that $y - \hat kx \le x$ and by consequence $\hat k \ge k$ which concludes the proof. \textbf{QED} - - -\subsection{Normalized Integers} -For the purposes of division a normalized input is when the divisors leading digit $x_n$ is greater than or equal to $\beta / 2$. By multiplying both -$x$ and $y$ by $j = \lfloor (\beta / 2) / x_n \rfloor$ the quotient remains unchanged and the remainder is simply $j$ times the original -remainder. The purpose of normalization is to ensure the leading digit of the divisor is sufficiently large such that the estimated quotient will -lie in the domain of a single digit. Consider the maximum dividend $(\beta - 1) \cdot \beta + (\beta - 1)$ and the minimum divisor $\beta / 2$. - -\begin{equation} -{{\beta^2 - 1} \over { \beta / 2}} \le 2\beta - {2 \over \beta} -\end{equation} - -At most the quotient approaches $2\beta$, however, in practice this will not occur since that would imply the previous quotient digit was too small. - -\subsection{Radix-$\beta$ Division with Remainder} -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_div}. \\ -\textbf{Input}. mp\_int $a, b$ \\ -\textbf{Output}. $c = \lfloor a/b \rfloor$, $d = a - bc$ \\ -\hline \\ -1. If $b = 0$ return(\textit{MP\_VAL}). \\ -2. If $\vert a \vert < \vert b \vert$ then do \\ -\hspace{3mm}2.1 $d \leftarrow a$ \\ -\hspace{3mm}2.2 $c \leftarrow 0$ \\ -\hspace{3mm}2.3 Return(\textit{MP\_OKAY}). \\ -\\ -Setup the quotient to receive the digits. \\ -3. Grow $q$ to $a.used + 2$ digits. \\ -4. $q \leftarrow 0$ \\ -5. $x \leftarrow \vert a \vert , y \leftarrow \vert b \vert$ \\ -6. $sign \leftarrow \left \lbrace \begin{array}{ll} - MP\_ZPOS & \mbox{if }a.sign = b.sign \\ - MP\_NEG & \mbox{otherwise} \\ - \end{array} \right .$ \\ -\\ -Normalize the inputs such that the leading digit of $y$ is greater than or equal to $\beta / 2$. \\ -7. $norm \leftarrow (lg(\beta) - 1) - (\lceil lg(y) \rceil \mbox{ (mod }lg(\beta)\mbox{)})$ \\ -8. $x \leftarrow x \cdot 2^{norm}, y \leftarrow y \cdot 2^{norm}$ \\ -\\ -Find the leading digit of the quotient. \\ -9. $n \leftarrow x.used - 1, t \leftarrow y.used - 1$ \\ -10. $y \leftarrow y \cdot \beta^{n - t}$ \\ -11. While ($x \ge y$) do \\ -\hspace{3mm}11.1 $q_{n - t} \leftarrow q_{n - t} + 1$ \\ -\hspace{3mm}11.2 $x \leftarrow x - y$ \\ -12. $y \leftarrow \lfloor y / \beta^{n-t} \rfloor$ \\ -\\ -Continued on the next page. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_div} -\end{figure} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_div} (continued). \\ -\textbf{Input}. mp\_int $a, b$ \\ -\textbf{Output}. $c = \lfloor a/b \rfloor$, $d = a - bc$ \\ -\hline \\ -Now find the remainder fo the digits. \\ -13. for $i$ from $n$ down to $(t + 1)$ do \\ -\hspace{3mm}13.1 If $i > x.used$ then jump to the next iteration of this loop. \\ -\hspace{3mm}13.2 If $x_{i} = y_{t}$ then \\ -\hspace{6mm}13.2.1 $q_{i - t - 1} \leftarrow \beta - 1$ \\ -\hspace{3mm}13.3 else \\ -\hspace{6mm}13.3.1 $\hat r \leftarrow x_{i} \cdot \beta + x_{i - 1}$ \\ -\hspace{6mm}13.3.2 $\hat r \leftarrow \lfloor \hat r / y_{t} \rfloor$ \\ -\hspace{6mm}13.3.3 $q_{i - t - 1} \leftarrow \hat r$ \\ -\hspace{3mm}13.4 $q_{i - t - 1} \leftarrow q_{i - t - 1} + 1$ \\ -\\ -Fixup quotient estimation. \\ -\hspace{3mm}13.5 Loop \\ -\hspace{6mm}13.5.1 $q_{i - t - 1} \leftarrow q_{i - t - 1} - 1$ \\ -\hspace{6mm}13.5.2 t$1 \leftarrow 0$ \\ -\hspace{6mm}13.5.3 t$1_0 \leftarrow y_{t - 1}, $ t$1_1 \leftarrow y_t,$ t$1.used \leftarrow 2$ \\ -\hspace{6mm}13.5.4 $t1 \leftarrow t1 \cdot q_{i - t - 1}$ \\ -\hspace{6mm}13.5.5 t$2_0 \leftarrow x_{i - 2}, $ t$2_1 \leftarrow x_{i - 1}, $ t$2_2 \leftarrow x_i, $ t$2.used \leftarrow 3$ \\ -\hspace{6mm}13.5.6 If $\vert t1 \vert > \vert t2 \vert$ then goto step 13.5. \\ -\hspace{3mm}13.6 t$1 \leftarrow y \cdot q_{i - t - 1}$ \\ -\hspace{3mm}13.7 t$1 \leftarrow $ t$1 \cdot \beta^{i - t - 1}$ \\ -\hspace{3mm}13.8 $x \leftarrow x - $ t$1$ \\ -\hspace{3mm}13.9 If $x.sign = MP\_NEG$ then \\ -\hspace{6mm}13.10 t$1 \leftarrow y$ \\ -\hspace{6mm}13.11 t$1 \leftarrow $ t$1 \cdot \beta^{i - t - 1}$ \\ -\hspace{6mm}13.12 $x \leftarrow x + $ t$1$ \\ -\hspace{6mm}13.13 $q_{i - t - 1} \leftarrow q_{i - t - 1} - 1$ \\ -\\ -Finalize the result. \\ -14. Clamp excess digits of $q$ \\ -15. $c \leftarrow q, c.sign \leftarrow sign$ \\ -16. $x.sign \leftarrow a.sign$ \\ -17. $d \leftarrow \lfloor x / 2^{norm} \rfloor$ \\ -18. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_div (continued)} -\end{figure} -\textbf{Algorithm mp\_div.} -This algorithm will calculate quotient and remainder from an integer division given a dividend and divisor. The algorithm is a signed -division and will produce a fully qualified quotient and remainder. - -First the divisor $b$ must be non-zero which is enforced in step one. If the divisor is larger than the dividend than the quotient is implicitly -zero and the remainder is the dividend. - -After the first two trivial cases of inputs are handled the variable $q$ is setup to receive the digits of the quotient. Two unsigned copies of the -divisor $y$ and dividend $x$ are made as well. The core of the division algorithm is an unsigned division and will only work if the values are -positive. Now the two values $x$ and $y$ must be normalized such that the leading digit of $y$ is greater than or equal to $\beta / 2$. -This is performed by shifting both to the left by enough bits to get the desired normalization. - -At this point the division algorithm can begin producing digits of the quotient. Recall that maximum value of the estimation used is -$2\beta - {2 \over \beta}$ which means that a digit of the quotient must be first produced by another means. In this case $y$ is shifted -to the left (\textit{step ten}) so that it has the same number of digits as $x$. The loop on step eleven will subtract multiples of the -shifted copy of $y$ until $x$ is smaller. Since the leading digit of $y$ is greater than or equal to $\beta/2$ this loop will iterate at most two -times to produce the desired leading digit of the quotient. - -Now the remainder of the digits can be produced. The equation $\hat q = \lfloor {{x_i \beta + x_{i-1}}\over y_t} \rfloor$ is used to fairly -accurately approximate the true quotient digit. The estimation can in theory produce an estimation as high as $2\beta - {2 \over \beta}$ but by -induction the upper quotient digit is correct (\textit{as established on step eleven}) and the estimate must be less than $\beta$. - -Recall from section~\ref{sec:divest} that the estimation is never too low but may be too high. The next step of the estimation process is -to refine the estimation. The loop on step 13.5 uses $x_i\beta^2 + x_{i-1}\beta + x_{i-2}$ and $q_{i - t - 1}(y_t\beta + y_{t-1})$ as a higher -order approximation to adjust the quotient digit. - -After both phases of estimation the quotient digit may still be off by a value of one\footnote{This is similar to the error introduced -by optimizing Barrett reduction.}. Steps 13.6 and 13.7 subtract the multiple of the divisor from the dividend (\textit{Similar to step 3.3 of -algorithm~\ref{fig:raddiv}} and then subsequently add a multiple of the divisor if the quotient was too large. - -Now that the quotient has been determine finializing the result is a matter of clamping the quotient, fixing the sizes and de-normalizing the -remainder. An important aspect of this algorithm seemingly overlooked in other descriptions such as that of Algorithm 14.20 HAC \cite[pp. 598]{HAC} -is that when the estimations are being made (\textit{inside the loop on step 13.5}) that the digits $y_{t-1}$, $x_{i-2}$ and $x_{i-1}$ may lie -outside their respective boundaries. For example, if $t = 0$ or $i \le 1$ then the digits would be undefined. In those cases the digits should -respectively be replaced with a zero. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_div.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The implementation of this algorithm differs slightly from the pseudo code presented previously. In this algorithm either of the quotient $c$ or -remainder $d$ may be passed as a \textbf{NULL} pointer which indicates their value is not desired. For example, the C code to call the division -algorithm with only the quotient is - -\begin{verbatim} -mp_div(&a, &b, &c, NULL); /* c = [a/b] */ -\end{verbatim} - -Lines 109 and 113 handle the two trivial cases of inputs which are division by zero and dividend smaller than the divisor -respectively. After the two trivial cases all of the temporary variables are initialized. Line 148 determines the sign of -the quotient and line 148 ensures that both $x$ and $y$ are positive. - -The number of bits in the leading digit is calculated on line 151. Implictly an mp\_int with $r$ digits will require $lg(\beta)(r-1) + k$ bits -of precision which when reduced modulo $lg(\beta)$ produces the value of $k$. In this case $k$ is the number of bits in the leading digit which is -exactly what is required. For the algorithm to operate $k$ must equal $lg(\beta) - 1$ and when it does not the inputs must be normalized by shifting -them to the left by $lg(\beta) - 1 - k$ bits. - -Throughout the variables $n$ and $t$ will represent the highest digit of $x$ and $y$ respectively. These are first used to produce the -leading digit of the quotient. The loop beginning on line 184 will produce the remainder of the quotient digits. - -The conditional ``continue'' on line 187 is used to prevent the algorithm from reading past the leading edge of $x$ which can occur when the -algorithm eliminates multiple non-zero digits in a single iteration. This ensures that $x_i$ is always non-zero since by definition the digits -above the $i$'th position $x$ must be zero in order for the quotient to be precise\footnote{Precise as far as integer division is concerned.}. - -Lines 214, 216 and 223 through 225 manually construct the high accuracy estimations by setting the digits of the two mp\_int -variables directly. - -\section{Single Digit Helpers} - -This section briefly describes a series of single digit helper algorithms which come in handy when working with small constants. All of -the helper functions assume the single digit input is positive and will treat them as such. - -\subsection{Single Digit Addition and Subtraction} - -Both addition and subtraction are performed by ``cheating'' and using mp\_set followed by the higher level addition or subtraction -algorithms. As a result these algorithms are subtantially simpler with a slight cost in performance. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_add\_d}. \\ -\textbf{Input}. mp\_int $a$ and a mp\_digit $b$ \\ -\textbf{Output}. $c = a + b$ \\ -\hline \\ -1. $t \leftarrow b$ (\textit{mp\_set}) \\ -2. $c \leftarrow a + t$ \\ -3. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_add\_d} -\end{figure} - -\textbf{Algorithm mp\_add\_d.} -This algorithm initiates a temporary mp\_int with the value of the single digit and uses algorithm mp\_add to add the two values together. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_add\_d.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Clever use of the letter 't'. - -\subsubsection{Subtraction} -The single digit subtraction algorithm mp\_sub\_d is essentially the same except it uses mp\_sub to subtract the digit from the mp\_int. - -\subsection{Single Digit Multiplication} -Single digit multiplication arises enough in division and radix conversion that it ought to be implement as a special case of the baseline -multiplication algorithm. Essentially this algorithm is a modified version of algorithm s\_mp\_mul\_digs where one of the multiplicands -only has one digit. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_mul\_d}. \\ -\textbf{Input}. mp\_int $a$ and a mp\_digit $b$ \\ -\textbf{Output}. $c = ab$ \\ -\hline \\ -1. $pa \leftarrow a.used$ \\ -2. Grow $c$ to at least $pa + 1$ digits. \\ -3. $oldused \leftarrow c.used$ \\ -4. $c.used \leftarrow pa + 1$ \\ -5. $c.sign \leftarrow a.sign$ \\ -6. $\mu \leftarrow 0$ \\ -7. for $ix$ from $0$ to $pa - 1$ do \\ -\hspace{3mm}7.1 $\hat r \leftarrow \mu + a_{ix}b$ \\ -\hspace{3mm}7.2 $c_{ix} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}7.3 $\mu \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -8. $c_{pa} \leftarrow \mu$ \\ -9. for $ix$ from $pa + 1$ to $oldused$ do \\ -\hspace{3mm}9.1 $c_{ix} \leftarrow 0$ \\ -10. Clamp excess digits of $c$. \\ -11. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_mul\_d} -\end{figure} -\textbf{Algorithm mp\_mul\_d.} -This algorithm quickly multiplies an mp\_int by a small single digit value. It is specially tailored to the job and has a minimal of overhead. -Unlike the full multiplication algorithms this algorithm does not require any significnat temporary storage or memory allocations. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_mul\_d.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -In this implementation the destination $c$ may point to the same mp\_int as the source $a$ since the result is written after the digit is -read from the source. This function uses pointer aliases $tmpa$ and $tmpc$ for the digits of $a$ and $c$ respectively. - -\subsection{Single Digit Division} -Like the single digit multiplication algorithm, single digit division is also a fairly common algorithm used in radix conversion. Since the -divisor is only a single digit a specialized variant of the division algorithm can be used to compute the quotient. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_div\_d}. \\ -\textbf{Input}. mp\_int $a$ and a mp\_digit $b$ \\ -\textbf{Output}. $c = \lfloor a / b \rfloor, d = a - cb$ \\ -\hline \\ -1. If $b = 0$ then return(\textit{MP\_VAL}).\\ -2. If $b = 3$ then use algorithm mp\_div\_3 instead. \\ -3. Init $q$ to $a.used$ digits. \\ -4. $q.used \leftarrow a.used$ \\ -5. $q.sign \leftarrow a.sign$ \\ -6. $\hat w \leftarrow 0$ \\ -7. for $ix$ from $a.used - 1$ down to $0$ do \\ -\hspace{3mm}7.1 $\hat w \leftarrow \hat w \beta + a_{ix}$ \\ -\hspace{3mm}7.2 If $\hat w \ge b$ then \\ -\hspace{6mm}7.2.1 $t \leftarrow \lfloor \hat w / b \rfloor$ \\ -\hspace{6mm}7.2.2 $\hat w \leftarrow \hat w \mbox{ (mod }b\mbox{)}$ \\ -\hspace{3mm}7.3 else\\ -\hspace{6mm}7.3.1 $t \leftarrow 0$ \\ -\hspace{3mm}7.4 $q_{ix} \leftarrow t$ \\ -8. $d \leftarrow \hat w$ \\ -9. Clamp excess digits of $q$. \\ -10. $c \leftarrow q$ \\ -11. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_div\_d} -\end{figure} -\textbf{Algorithm mp\_div\_d.} -This algorithm divides the mp\_int $a$ by the single mp\_digit $b$ using an optimized approach. Essentially in every iteration of the -algorithm another digit of the dividend is reduced and another digit of quotient produced. Provided $b < \beta$ the value of $\hat w$ -after step 7.1 will be limited such that $0 \le \lfloor \hat w / b \rfloor < \beta$. - -If the divisor $b$ is equal to three a variant of this algorithm is used which is called mp\_div\_3. It replaces the division by three with -a multiplication by $\lfloor \beta / 3 \rfloor$ and the appropriate shift and residual fixup. In essence it is much like the Barrett reduction -from chapter seven. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_div\_d.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Like the implementation of algorithm mp\_div this algorithm allows either of the quotient or remainder to be passed as a \textbf{NULL} pointer to -indicate the respective value is not required. This allows a trivial single digit modular reduction algorithm, mp\_mod\_d to be created. - -The division and remainder on lines 44 and @45,%@ can be replaced often by a single division on most processors. For example, the 32-bit x86 based -processors can divide a 64-bit quantity by a 32-bit quantity and produce the quotient and remainder simultaneously. Unfortunately the GCC -compiler does not recognize that optimization and will actually produce two function calls to find the quotient and remainder respectively. - -\subsection{Single Digit Root Extraction} - -Finding the $n$'th root of an integer is fairly easy as far as numerical analysis is concerned. Algorithms such as the Newton-Raphson approximation -(\ref{eqn:newton}) series will converge very quickly to a root for any continuous function $f(x)$. - -\begin{equation} -x_{i+1} = x_i - {f(x_i) \over f'(x_i)} -\label{eqn:newton} -\end{equation} - -In this case the $n$'th root is desired and $f(x) = x^n - a$ where $a$ is the integer of which the root is desired. The derivative of $f(x)$ is -simply $f'(x) = nx^{n - 1}$. Of particular importance is that this algorithm will be used over the integers not over the a more continuous domain -such as the real numbers. As a result the root found can be above the true root by few and must be manually adjusted. Ideally at the end of the -algorithm the $n$'th root $b$ of an integer $a$ is desired such that $b^n \le a$. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_n\_root}. \\ -\textbf{Input}. mp\_int $a$ and a mp\_digit $b$ \\ -\textbf{Output}. $c^b \le a$ \\ -\hline \\ -1. If $b$ is even and $a.sign = MP\_NEG$ return(\textit{MP\_VAL}). \\ -2. $sign \leftarrow a.sign$ \\ -3. $a.sign \leftarrow MP\_ZPOS$ \\ -4. t$2 \leftarrow 2$ \\ -5. Loop \\ -\hspace{3mm}5.1 t$1 \leftarrow $ t$2$ \\ -\hspace{3mm}5.2 t$3 \leftarrow $ t$1^{b - 1}$ \\ -\hspace{3mm}5.3 t$2 \leftarrow $ t$3 $ $\cdot$ t$1$ \\ -\hspace{3mm}5.4 t$2 \leftarrow $ t$2 - a$ \\ -\hspace{3mm}5.5 t$3 \leftarrow $ t$3 \cdot b$ \\ -\hspace{3mm}5.6 t$3 \leftarrow \lfloor $t$2 / $t$3 \rfloor$ \\ -\hspace{3mm}5.7 t$2 \leftarrow $ t$1 - $ t$3$ \\ -\hspace{3mm}5.8 If t$1 \ne $ t$2$ then goto step 5. \\ -6. Loop \\ -\hspace{3mm}6.1 t$2 \leftarrow $ t$1^b$ \\ -\hspace{3mm}6.2 If t$2 > a$ then \\ -\hspace{6mm}6.2.1 t$1 \leftarrow $ t$1 - 1$ \\ -\hspace{6mm}6.2.2 Goto step 6. \\ -7. $a.sign \leftarrow sign$ \\ -8. $c \leftarrow $ t$1$ \\ -9. $c.sign \leftarrow sign$ \\ -10. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_n\_root} -\end{figure} -\textbf{Algorithm mp\_n\_root.} -This algorithm finds the integer $n$'th root of an input using the Newton-Raphson approach. It is partially optimized based on the observation -that the numerator of ${f(x) \over f'(x)}$ can be derived from a partial denominator. That is at first the denominator is calculated by finding -$x^{b - 1}$. This value can then be multiplied by $x$ and have $a$ subtracted from it to find the numerator. This saves a total of $b - 1$ -multiplications by t$1$ inside the loop. - -The initial value of the approximation is t$2 = 2$ which allows the algorithm to start with very small values and quickly converge on the -root. Ideally this algorithm is meant to find the $n$'th root of an input where $n$ is bounded by $2 \le n \le 5$. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_n\_root.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\section{Random Number Generation} - -Random numbers come up in a variety of activities from public key cryptography to simple simulations and various randomized algorithms. Pollard-Rho -factoring for example, can make use of random values as starting points to find factors of a composite integer. In this case the algorithm presented -is solely for simulations and not intended for cryptographic use. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_rand}. \\ -\textbf{Input}. An integer $b$ \\ -\textbf{Output}. A pseudo-random number of $b$ digits \\ -\hline \\ -1. $a \leftarrow 0$ \\ -2. If $b \le 0$ return(\textit{MP\_OKAY}) \\ -3. Pick a non-zero random digit $d$. \\ -4. $a \leftarrow a + d$ \\ -5. for $ix$ from 1 to $d - 1$ do \\ -\hspace{3mm}5.1 $a \leftarrow a \cdot \beta$ \\ -\hspace{3mm}5.2 Pick a random digit $d$. \\ -\hspace{3mm}5.3 $a \leftarrow a + d$ \\ -6. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_rand} -\end{figure} -\textbf{Algorithm mp\_rand.} -This algorithm produces a pseudo-random integer of $b$ digits. By ensuring that the first digit is non-zero the algorithm also guarantees that the -final result has at least $b$ digits. It relies heavily on a third-part random number generator which should ideally generate uniformly all of -the integers from $0$ to $\beta - 1$. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_rand.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\section{Formatted Representations} -The ability to emit a radix-$n$ textual representation of an integer is useful for interacting with human parties. For example, the ability to -be given a string of characters such as ``114585'' and turn it into the radix-$\beta$ equivalent would make it easier to enter numbers -into a program. - -\subsection{Reading Radix-n Input} -For the purposes of this text we will assume that a simple lower ASCII map (\ref{fig:ASC}) is used for the values of from $0$ to $63$ to -printable characters. For example, when the character ``N'' is read it represents the integer $23$. The first $16$ characters of the -map are for the common representations up to hexadecimal. After that they match the ``base64'' encoding scheme which are suitable chosen -such that they are printable. While outputting as base64 may not be too helpful for human operators it does allow communication via non binary -mediums. - -\newpage\begin{figure}[here] -\begin{center} -\begin{tabular}{cc|cc|cc|cc} -\hline \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} \\ -\hline -0 & 0 & 1 & 1 & 2 & 2 & 3 & 3 \\ -4 & 4 & 5 & 5 & 6 & 6 & 7 & 7 \\ -8 & 8 & 9 & 9 & 10 & A & 11 & B \\ -12 & C & 13 & D & 14 & E & 15 & F \\ -16 & G & 17 & H & 18 & I & 19 & J \\ -20 & K & 21 & L & 22 & M & 23 & N \\ -24 & O & 25 & P & 26 & Q & 27 & R \\ -28 & S & 29 & T & 30 & U & 31 & V \\ -32 & W & 33 & X & 34 & Y & 35 & Z \\ -36 & a & 37 & b & 38 & c & 39 & d \\ -40 & e & 41 & f & 42 & g & 43 & h \\ -44 & i & 45 & j & 46 & k & 47 & l \\ -48 & m & 49 & n & 50 & o & 51 & p \\ -52 & q & 53 & r & 54 & s & 55 & t \\ -56 & u & 57 & v & 58 & w & 59 & x \\ -60 & y & 61 & z & 62 & $+$ & 63 & $/$ \\ -\hline -\end{tabular} -\end{center} -\caption{Lower ASCII Map} -\label{fig:ASC} -\end{figure} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_read\_radix}. \\ -\textbf{Input}. A string $str$ of length $sn$ and radix $r$. \\ -\textbf{Output}. The radix-$\beta$ equivalent mp\_int. \\ -\hline \\ -1. If $r < 2$ or $r > 64$ return(\textit{MP\_VAL}). \\ -2. $ix \leftarrow 0$ \\ -3. If $str_0 =$ ``-'' then do \\ -\hspace{3mm}3.1 $ix \leftarrow ix + 1$ \\ -\hspace{3mm}3.2 $sign \leftarrow MP\_NEG$ \\ -4. else \\ -\hspace{3mm}4.1 $sign \leftarrow MP\_ZPOS$ \\ -5. $a \leftarrow 0$ \\ -6. for $iy$ from $ix$ to $sn - 1$ do \\ -\hspace{3mm}6.1 Let $y$ denote the position in the map of $str_{iy}$. \\ -\hspace{3mm}6.2 If $str_{iy}$ is not in the map or $y \ge r$ then goto step 7. \\ -\hspace{3mm}6.3 $a \leftarrow a \cdot r$ \\ -\hspace{3mm}6.4 $a \leftarrow a + y$ \\ -7. If $a \ne 0$ then $a.sign \leftarrow sign$ \\ -8. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_read\_radix} -\end{figure} -\textbf{Algorithm mp\_read\_radix.} -This algorithm will read an ASCII string and produce the radix-$\beta$ mp\_int representation of the same integer. A minus symbol ``-'' may precede the -string to indicate the value is negative, otherwise it is assumed to be positive. The algorithm will read up to $sn$ characters from the input -and will stop when it reads a character it cannot map the algorithm stops reading characters from the string. This allows numbers to be embedded -as part of larger input without any significant problem. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_read\_radix.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\subsection{Generating Radix-$n$ Output} -Generating radix-$n$ output is fairly trivial with a division and remainder algorithm. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_toradix}. \\ -\textbf{Input}. A mp\_int $a$ and an integer $r$\\ -\textbf{Output}. The radix-$r$ representation of $a$ \\ -\hline \\ -1. If $r < 2$ or $r > 64$ return(\textit{MP\_VAL}). \\ -2. If $a = 0$ then $str = $ ``$0$'' and return(\textit{MP\_OKAY}). \\ -3. $t \leftarrow a$ \\ -4. $str \leftarrow$ ``'' \\ -5. if $t.sign = MP\_NEG$ then \\ -\hspace{3mm}5.1 $str \leftarrow str + $ ``-'' \\ -\hspace{3mm}5.2 $t.sign = MP\_ZPOS$ \\ -6. While ($t \ne 0$) do \\ -\hspace{3mm}6.1 $d \leftarrow t \mbox{ (mod }r\mbox{)}$ \\ -\hspace{3mm}6.2 $t \leftarrow \lfloor t / r \rfloor$ \\ -\hspace{3mm}6.3 Look up $d$ in the map and store the equivalent character in $y$. \\ -\hspace{3mm}6.4 $str \leftarrow str + y$ \\ -7. If $str_0 = $``$-$'' then \\ -\hspace{3mm}7.1 Reverse the digits $str_1, str_2, \ldots str_n$. \\ -8. Otherwise \\ -\hspace{3mm}8.1 Reverse the digits $str_0, str_1, \ldots str_n$. \\ -9. Return(\textit{MP\_OKAY}).\\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_toradix} -\end{figure} -\textbf{Algorithm mp\_toradix.} -This algorithm computes the radix-$r$ representation of an mp\_int $a$. The ``digits'' of the representation are extracted by reducing -successive powers of $\lfloor a / r^k \rfloor$ the input modulo $r$ until $r^k > a$. Note that instead of actually dividing by $r^k$ in -each iteration the quotient $\lfloor a / r \rfloor$ is saved for the next iteration. As a result a series of trivial $n \times 1$ divisions -are required instead of a series of $n \times k$ divisions. One design flaw of this approach is that the digits are produced in the reverse order -(see~\ref{fig:mpradix}). To remedy this flaw the digits must be swapped or simply ``reversed''. - -\begin{figure} -\begin{center} -\begin{tabular}{|c|c|c|} -\hline \textbf{Value of $a$} & \textbf{Value of $d$} & \textbf{Value of $str$} \\ -\hline $1234$ & -- & -- \\ -\hline $123$ & $4$ & ``4'' \\ -\hline $12$ & $3$ & ``43'' \\ -\hline $1$ & $2$ & ``432'' \\ -\hline $0$ & $1$ & ``4321'' \\ -\hline -\end{tabular} -\end{center} -\caption{Example of Algorithm mp\_toradix.} -\label{fig:mpradix} -\end{figure} - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_toradix.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\chapter{Number Theoretic Algorithms} -This chapter discusses several fundamental number theoretic algorithms such as the greatest common divisor, least common multiple and Jacobi -symbol computation. These algorithms arise as essential components in several key cryptographic algorithms such as the RSA public key algorithm and -various Sieve based factoring algorithms. - -\section{Greatest Common Divisor} -The greatest common divisor of two integers $a$ and $b$, often denoted as $(a, b)$ is the largest integer $k$ that is a proper divisor of -both $a$ and $b$. That is, $k$ is the largest integer such that $0 \equiv a \mbox{ (mod }k\mbox{)}$ and $0 \equiv b \mbox{ (mod }k\mbox{)}$ occur -simultaneously. - -The most common approach (cite) is to reduce one input modulo another. That is if $a$ and $b$ are divisible by some integer $k$ and if $qa + r = b$ then -$r$ is also divisible by $k$. The reduction pattern follows $\left < a , b \right > \rightarrow \left < b, a \mbox{ mod } b \right >$. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Greatest Common Divisor (I)}. \\ -\textbf{Input}. Two positive integers $a$ and $b$ greater than zero. \\ -\textbf{Output}. The greatest common divisor $(a, b)$. \\ -\hline \\ -1. While ($b > 0$) do \\ -\hspace{3mm}1.1 $r \leftarrow a \mbox{ (mod }b\mbox{)}$ \\ -\hspace{3mm}1.2 $a \leftarrow b$ \\ -\hspace{3mm}1.3 $b \leftarrow r$ \\ -2. Return($a$). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Greatest Common Divisor (I)} -\label{fig:gcd1} -\end{figure} - -This algorithm will quickly converge on the greatest common divisor since the residue $r$ tends diminish rapidly. However, divisions are -relatively expensive operations to perform and should ideally be avoided. There is another approach based on a similar relationship of -greatest common divisors. The faster approach is based on the observation that if $k$ divides both $a$ and $b$ it will also divide $a - b$. -In particular, we would like $a - b$ to decrease in magnitude which implies that $b \ge a$. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Greatest Common Divisor (II)}. \\ -\textbf{Input}. Two positive integers $a$ and $b$ greater than zero. \\ -\textbf{Output}. The greatest common divisor $(a, b)$. \\ -\hline \\ -1. While ($b > 0$) do \\ -\hspace{3mm}1.1 Swap $a$ and $b$ such that $a$ is the smallest of the two. \\ -\hspace{3mm}1.2 $b \leftarrow b - a$ \\ -2. Return($a$). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Greatest Common Divisor (II)} -\label{fig:gcd2} -\end{figure} - -\textbf{Proof} \textit{Algorithm~\ref{fig:gcd2} will return the greatest common divisor of $a$ and $b$.} -The algorithm in figure~\ref{fig:gcd2} will eventually terminate since $b \ge a$ the subtraction in step 1.2 will be a value less than $b$. In other -words in every iteration that tuple $\left < a, b \right >$ decrease in magnitude until eventually $a = b$. Since both $a$ and $b$ are always -divisible by the greatest common divisor (\textit{until the last iteration}) and in the last iteration of the algorithm $b = 0$, therefore, in the -second to last iteration of the algorithm $b = a$ and clearly $(a, a) = a$ which concludes the proof. \textbf{QED}. - -As a matter of practicality algorithm \ref{fig:gcd1} decreases far too slowly to be useful. Specially if $b$ is much larger than $a$ such that -$b - a$ is still very much larger than $a$. A simple addition to the algorithm is to divide $b - a$ by a power of some integer $p$ which does -not divide the greatest common divisor but will divide $b - a$. In this case ${b - a} \over p$ is also an integer and still divisible by -the greatest common divisor. - -However, instead of factoring $b - a$ to find a suitable value of $p$ the powers of $p$ can be removed from $a$ and $b$ that are in common first. -Then inside the loop whenever $b - a$ is divisible by some power of $p$ it can be safely removed. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Greatest Common Divisor (III)}. \\ -\textbf{Input}. Two positive integers $a$ and $b$ greater than zero. \\ -\textbf{Output}. The greatest common divisor $(a, b)$. \\ -\hline \\ -1. $k \leftarrow 0$ \\ -2. While $a$ and $b$ are both divisible by $p$ do \\ -\hspace{3mm}2.1 $a \leftarrow \lfloor a / p \rfloor$ \\ -\hspace{3mm}2.2 $b \leftarrow \lfloor b / p \rfloor$ \\ -\hspace{3mm}2.3 $k \leftarrow k + 1$ \\ -3. While $a$ is divisible by $p$ do \\ -\hspace{3mm}3.1 $a \leftarrow \lfloor a / p \rfloor$ \\ -4. While $b$ is divisible by $p$ do \\ -\hspace{3mm}4.1 $b \leftarrow \lfloor b / p \rfloor$ \\ -5. While ($b > 0$) do \\ -\hspace{3mm}5.1 Swap $a$ and $b$ such that $a$ is the smallest of the two. \\ -\hspace{3mm}5.2 $b \leftarrow b - a$ \\ -\hspace{3mm}5.3 While $b$ is divisible by $p$ do \\ -\hspace{6mm}5.3.1 $b \leftarrow \lfloor b / p \rfloor$ \\ -6. Return($a \cdot p^k$). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Greatest Common Divisor (III)} -\label{fig:gcd3} -\end{figure} - -This algorithm is based on the first except it removes powers of $p$ first and inside the main loop to ensure the tuple $\left < a, b \right >$ -decreases more rapidly. The first loop on step two removes powers of $p$ that are in common. A count, $k$, is kept which will present a common -divisor of $p^k$. After step two the remaining common divisor of $a$ and $b$ cannot be divisible by $p$. This means that $p$ can be safely -divided out of the difference $b - a$ so long as the division leaves no remainder. - -In particular the value of $p$ should be chosen such that the division on step 5.3.1 occur often. It also helps that division by $p$ be easy -to compute. The ideal choice of $p$ is two since division by two amounts to a right logical shift. Another important observation is that by -step five both $a$ and $b$ are odd. Therefore, the diffrence $b - a$ must be even which means that each iteration removes one bit from the -largest of the pair. - -\subsection{Complete Greatest Common Divisor} -The algorithms presented so far cannot handle inputs which are zero or negative. The following algorithm can handle all input cases properly -and will produce the greatest common divisor. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_gcd}. \\ -\textbf{Input}. mp\_int $a$ and $b$ \\ -\textbf{Output}. The greatest common divisor $c = (a, b)$. \\ -\hline \\ -1. If $a = 0$ then \\ -\hspace{3mm}1.1 $c \leftarrow \vert b \vert $ \\ -\hspace{3mm}1.2 Return(\textit{MP\_OKAY}). \\ -2. If $b = 0$ then \\ -\hspace{3mm}2.1 $c \leftarrow \vert a \vert $ \\ -\hspace{3mm}2.2 Return(\textit{MP\_OKAY}). \\ -3. $u \leftarrow \vert a \vert, v \leftarrow \vert b \vert$ \\ -4. $k \leftarrow 0$ \\ -5. While $u.used > 0$ and $v.used > 0$ and $u_0 \equiv v_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}5.1 $k \leftarrow k + 1$ \\ -\hspace{3mm}5.2 $u \leftarrow \lfloor u / 2 \rfloor$ \\ -\hspace{3mm}5.3 $v \leftarrow \lfloor v / 2 \rfloor$ \\ -6. While $u.used > 0$ and $u_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}6.1 $u \leftarrow \lfloor u / 2 \rfloor$ \\ -7. While $v.used > 0$ and $v_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}7.1 $v \leftarrow \lfloor v / 2 \rfloor$ \\ -8. While $v.used > 0$ \\ -\hspace{3mm}8.1 If $\vert u \vert > \vert v \vert$ then \\ -\hspace{6mm}8.1.1 Swap $u$ and $v$. \\ -\hspace{3mm}8.2 $v \leftarrow \vert v \vert - \vert u \vert$ \\ -\hspace{3mm}8.3 While $v.used > 0$ and $v_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{6mm}8.3.1 $v \leftarrow \lfloor v / 2 \rfloor$ \\ -9. $c \leftarrow u \cdot 2^k$ \\ -10. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_gcd} -\end{figure} -\textbf{Algorithm mp\_gcd.} -This algorithm will produce the greatest common divisor of two mp\_ints $a$ and $b$. The algorithm was originally based on Algorithm B of -Knuth \cite[pp. 338]{TAOCPV2} but has been modified to be simpler to explain. In theory it achieves the same asymptotic working time as -Algorithm B and in practice this appears to be true. - -The first two steps handle the cases where either one of or both inputs are zero. If either input is zero the greatest common divisor is the -largest input or zero if they are both zero. If the inputs are not trivial than $u$ and $v$ are assigned the absolute values of -$a$ and $b$ respectively and the algorithm will proceed to reduce the pair. - -Step five will divide out any common factors of two and keep track of the count in the variable $k$. After this step, two is no longer a -factor of the remaining greatest common divisor between $u$ and $v$ and can be safely evenly divided out of either whenever they are even. Step -six and seven ensure that the $u$ and $v$ respectively have no more factors of two. At most only one of the while--loops will iterate since -they cannot both be even. - -By step eight both of $u$ and $v$ are odd which is required for the inner logic. First the pair are swapped such that $v$ is equal to -or greater than $u$. This ensures that the subtraction on step 8.2 will always produce a positive and even result. Step 8.3 removes any -factors of two from the difference $u$ to ensure that in the next iteration of the loop both are once again odd. - -After $v = 0$ occurs the variable $u$ has the greatest common divisor of the pair $\left < u, v \right >$ just after step six. The result -must be adjusted by multiplying by the common factors of two ($2^k$) removed earlier. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_gcd.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This function makes use of the macros mp\_iszero and mp\_iseven. The former evaluates to $1$ if the input mp\_int is equivalent to the -integer zero otherwise it evaluates to $0$. The latter evaluates to $1$ if the input mp\_int represents a non-zero even integer otherwise -it evaluates to $0$. Note that just because mp\_iseven may evaluate to $0$ does not mean the input is odd, it could also be zero. The three -trivial cases of inputs are handled on lines 24 through 30. After those lines the inputs are assumed to be non-zero. - -Lines 32 and 37 make local copies $u$ and $v$ of the inputs $a$ and $b$ respectively. At this point the common factors of two -must be divided out of the two inputs. The block starting at line 44 removes common factors of two by first counting the number of trailing -zero bits in both. The local integer $k$ is used to keep track of how many factors of $2$ are pulled out of both values. It is assumed that -the number of factors will not exceed the maximum value of a C ``int'' data type\footnote{Strictly speaking no array in C may have more than -entries than are accessible by an ``int'' so this is not a limitation.}. - -At this point there are no more common factors of two in the two values. The divisions by a power of two on lines 62 and 68 remove -any independent factors of two such that both $u$ and $v$ are guaranteed to be an odd integer before hitting the main body of the algorithm. The while loop -on line 73 performs the reduction of the pair until $v$ is equal to zero. The unsigned comparison and subtraction algorithms are used in -place of the full signed routines since both values are guaranteed to be positive and the result of the subtraction is guaranteed to be non-negative. - -\section{Least Common Multiple} -The least common multiple of a pair of integers is their product divided by their greatest common divisor. For two integers $a$ and $b$ the -least common multiple is normally denoted as $[ a, b ]$ and numerically equivalent to ${ab} \over {(a, b)}$. For example, if $a = 2 \cdot 2 \cdot 3 = 12$ -and $b = 2 \cdot 3 \cdot 3 \cdot 7 = 126$ the least common multiple is ${126 \over {(12, 126)}} = {126 \over 6} = 21$. - -The least common multiple arises often in coding theory as well as number theory. If two functions have periods of $a$ and $b$ respectively they will -collide, that is be in synchronous states, after only $[ a, b ]$ iterations. This is why, for example, random number generators based on -Linear Feedback Shift Registers (LFSR) tend to use registers with periods which are co-prime (\textit{e.g. the greatest common divisor is one.}). -Similarly in number theory if a composite $n$ has two prime factors $p$ and $q$ then maximal order of any unit of $\Z/n\Z$ will be $[ p - 1, q - 1] $. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_lcm}. \\ -\textbf{Input}. mp\_int $a$ and $b$ \\ -\textbf{Output}. The least common multiple $c = [a, b]$. \\ -\hline \\ -1. $c \leftarrow (a, b)$ \\ -2. $t \leftarrow a \cdot b$ \\ -3. $c \leftarrow \lfloor t / c \rfloor$ \\ -4. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_lcm} -\end{figure} -\textbf{Algorithm mp\_lcm.} -This algorithm computes the least common multiple of two mp\_int inputs $a$ and $b$. It computes the least common multiple directly by -dividing the product of the two inputs by their greatest common divisor. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_lcm.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\section{Jacobi Symbol Computation} -To explain the Jacobi Symbol we shall first discuss the Legendre function\footnote{Arrg. What is the name of this?} off which the Jacobi symbol is -defined. The Legendre function computes whether or not an integer $a$ is a quadratic residue modulo an odd prime $p$. Numerically it is -equivalent to equation \ref{eqn:legendre}. - -\textit{-- Tom, don't be an ass, cite your source here...!} - -\begin{equation} -a^{(p-1)/2} \equiv \begin{array}{rl} - -1 & \mbox{if }a\mbox{ is a quadratic non-residue.} \\ - 0 & \mbox{if }a\mbox{ divides }p\mbox{.} \\ - 1 & \mbox{if }a\mbox{ is a quadratic residue}. - \end{array} \mbox{ (mod }p\mbox{)} -\label{eqn:legendre} -\end{equation} - -\textbf{Proof.} \textit{Equation \ref{eqn:legendre} correctly identifies the residue status of an integer $a$ modulo a prime $p$.} -An integer $a$ is a quadratic residue if the following equation has a solution. - -\begin{equation} -x^2 \equiv a \mbox{ (mod }p\mbox{)} -\label{eqn:root} -\end{equation} - -Consider the following equation. - -\begin{equation} -0 \equiv x^{p-1} - 1 \equiv \left \lbrace \left (x^2 \right )^{(p-1)/2} - a^{(p-1)/2} \right \rbrace + \left ( a^{(p-1)/2} - 1 \right ) \mbox{ (mod }p\mbox{)} -\label{eqn:rooti} -\end{equation} - -Whether equation \ref{eqn:root} has a solution or not equation \ref{eqn:rooti} is always true. If $a^{(p-1)/2} - 1 \equiv 0 \mbox{ (mod }p\mbox{)}$ -then the quantity in the braces must be zero. By reduction, - -\begin{eqnarray} -\left (x^2 \right )^{(p-1)/2} - a^{(p-1)/2} \equiv 0 \nonumber \\ -\left (x^2 \right )^{(p-1)/2} \equiv a^{(p-1)/2} \nonumber \\ -x^2 \equiv a \mbox{ (mod }p\mbox{)} -\end{eqnarray} - -As a result there must be a solution to the quadratic equation and in turn $a$ must be a quadratic residue. If $a$ does not divide $p$ and $a$ -is not a quadratic residue then the only other value $a^{(p-1)/2}$ may be congruent to is $-1$ since -\begin{equation} -0 \equiv a^{p - 1} - 1 \equiv (a^{(p-1)/2} + 1)(a^{(p-1)/2} - 1) \mbox{ (mod }p\mbox{)} -\end{equation} -One of the terms on the right hand side must be zero. \textbf{QED} - -\subsection{Jacobi Symbol} -The Jacobi symbol is a generalization of the Legendre function for any odd non prime moduli $p$ greater than 2. If $p = \prod_{i=0}^n p_i$ then -the Jacobi symbol $\left ( { a \over p } \right )$ is equal to the following equation. - -\begin{equation} -\left ( { a \over p } \right ) = \left ( { a \over p_0} \right ) \left ( { a \over p_1} \right ) \ldots \left ( { a \over p_n} \right ) -\end{equation} - -By inspection if $p$ is prime the Jacobi symbol is equivalent to the Legendre function. The following facts\footnote{See HAC \cite[pp. 72-74]{HAC} for -further details.} will be used to derive an efficient Jacobi symbol algorithm. Where $p$ is an odd integer greater than two and $a, b \in \Z$ the -following are true. - -\begin{enumerate} -\item $\left ( { a \over p} \right )$ equals $-1$, $0$ or $1$. -\item $\left ( { ab \over p} \right ) = \left ( { a \over p} \right )\left ( { b \over p} \right )$. -\item If $a \equiv b$ then $\left ( { a \over p} \right ) = \left ( { b \over p} \right )$. -\item $\left ( { 2 \over p} \right )$ equals $1$ if $p \equiv 1$ or $7 \mbox{ (mod }8\mbox{)}$. Otherwise, it equals $-1$. -\item $\left ( { a \over p} \right ) \equiv \left ( { p \over a} \right ) \cdot (-1)^{(p-1)(a-1)/4}$. More specifically -$\left ( { a \over p} \right ) = \left ( { p \over a} \right )$ if $p \equiv a \equiv 1 \mbox{ (mod }4\mbox{)}$. -\end{enumerate} - -Using these facts if $a = 2^k \cdot a'$ then - -\begin{eqnarray} -\left ( { a \over p } \right ) = \left ( {{2^k} \over p } \right ) \left ( {a' \over p} \right ) \nonumber \\ - = \left ( {2 \over p } \right )^k \left ( {a' \over p} \right ) -\label{eqn:jacobi} -\end{eqnarray} - -By fact five, - -\begin{equation} -\left ( { a \over p } \right ) = \left ( { p \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} -\end{equation} - -Subsequently by fact three since $p \equiv (p \mbox{ mod }a) \mbox{ (mod }a\mbox{)}$ then - -\begin{equation} -\left ( { a \over p } \right ) = \left ( { {p \mbox{ mod } a} \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} -\end{equation} - -By putting both observations into equation \ref{eqn:jacobi} the following simplified equation is formed. - -\begin{equation} -\left ( { a \over p } \right ) = \left ( {2 \over p } \right )^k \left ( {{p\mbox{ mod }a'} \over a'} \right ) \cdot (-1)^{(p-1)(a'-1)/4} -\end{equation} - -The value of $\left ( {{p \mbox{ mod }a'} \over a'} \right )$ can be found by using the same equation recursively. The value of -$\left ( {2 \over p } \right )^k$ equals $1$ if $k$ is even otherwise it equals $\left ( {2 \over p } \right )$. Using this approach the -factors of $p$ do not have to be known. Furthermore, if $(a, p) = 1$ then the algorithm will terminate when the recursion requests the -Jacobi symbol computation of $\left ( {1 \over a'} \right )$ which is simply $1$. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_jacobi}. \\ -\textbf{Input}. mp\_int $a$ and $p$, $a \ge 0$, $p \ge 3$, $p \equiv 1 \mbox{ (mod }2\mbox{)}$ \\ -\textbf{Output}. The Jacobi symbol $c = \left ( {a \over p } \right )$. \\ -\hline \\ -1. If $a = 0$ then \\ -\hspace{3mm}1.1 $c \leftarrow 0$ \\ -\hspace{3mm}1.2 Return(\textit{MP\_OKAY}). \\ -2. If $a = 1$ then \\ -\hspace{3mm}2.1 $c \leftarrow 1$ \\ -\hspace{3mm}2.2 Return(\textit{MP\_OKAY}). \\ -3. $a' \leftarrow a$ \\ -4. $k \leftarrow 0$ \\ -5. While $a'.used > 0$ and $a'_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}5.1 $k \leftarrow k + 1$ \\ -\hspace{3mm}5.2 $a' \leftarrow \lfloor a' / 2 \rfloor$ \\ -6. If $k \equiv 0 \mbox{ (mod }2\mbox{)}$ then \\ -\hspace{3mm}6.1 $s \leftarrow 1$ \\ -7. else \\ -\hspace{3mm}7.1 $r \leftarrow p_0 \mbox{ (mod }8\mbox{)}$ \\ -\hspace{3mm}7.2 If $r = 1$ or $r = 7$ then \\ -\hspace{6mm}7.2.1 $s \leftarrow 1$ \\ -\hspace{3mm}7.3 else \\ -\hspace{6mm}7.3.1 $s \leftarrow -1$ \\ -8. If $p_0 \equiv a'_0 \equiv 3 \mbox{ (mod }4\mbox{)}$ then \\ -\hspace{3mm}8.1 $s \leftarrow -s$ \\ -9. If $a' \ne 1$ then \\ -\hspace{3mm}9.1 $p' \leftarrow p \mbox{ (mod }a'\mbox{)}$ \\ -\hspace{3mm}9.2 $s \leftarrow s \cdot \mbox{mp\_jacobi}(p', a')$ \\ -10. $c \leftarrow s$ \\ -11. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_jacobi} -\end{figure} -\textbf{Algorithm mp\_jacobi.} -This algorithm computes the Jacobi symbol for an arbitrary positive integer $a$ with respect to an odd integer $p$ greater than three. The algorithm -is based on algorithm 2.149 of HAC \cite[pp. 73]{HAC}. - -Step numbers one and two handle the trivial cases of $a = 0$ and $a = 1$ respectively. Step five determines the number of two factors in the -input $a$. If $k$ is even than the term $\left ( { 2 \over p } \right )^k$ must always evaluate to one. If $k$ is odd than the term evaluates to one -if $p_0$ is congruent to one or seven modulo eight, otherwise it evaluates to $-1$. After the the $\left ( { 2 \over p } \right )^k$ term is handled -the $(-1)^{(p-1)(a'-1)/4}$ is computed and multiplied against the current product $s$. The latter term evaluates to one if both $p$ and $a'$ -are congruent to one modulo four, otherwise it evaluates to negative one. - -By step nine if $a'$ does not equal one a recursion is required. Step 9.1 computes $p' \equiv p \mbox{ (mod }a'\mbox{)}$ and will recurse to compute -$\left ( {p' \over a'} \right )$ which is multiplied against the current Jacobi product. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_jacobi.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -As a matter of practicality the variable $a'$ as per the pseudo-code is reprensented by the variable $a1$ since the $'$ symbol is not valid for a C -variable name character. - -The two simple cases of $a = 0$ and $a = 1$ are handled at the very beginning to simplify the algorithm. If the input is non-trivial the algorithm -has to proceed compute the Jacobi. The variable $s$ is used to hold the current Jacobi product. Note that $s$ is merely a C ``int'' data type since -the values it may obtain are merely $-1$, $0$ and $1$. - -After a local copy of $a$ is made all of the factors of two are divided out and the total stored in $k$. Technically only the least significant -bit of $k$ is required, however, it makes the algorithm simpler to follow to perform an addition. In practice an exclusive-or and addition have the same -processor requirements and neither is faster than the other. - -Line 58 through 71 determines the value of $\left ( { 2 \over p } \right )^k$. If the least significant bit of $k$ is zero than -$k$ is even and the value is one. Otherwise, the value of $s$ depends on which residue class $p$ belongs to modulo eight. The value of -$(-1)^{(p-1)(a'-1)/4}$ is compute and multiplied against $s$ on lines 71 through 74. - -Finally, if $a1$ does not equal one the algorithm must recurse and compute $\left ( {p' \over a'} \right )$. - -\textit{-- Comment about default $s$ and such...} - -\section{Modular Inverse} -\label{sec:modinv} -The modular inverse of a number actually refers to the modular multiplicative inverse. Essentially for any integer $a$ such that $(a, p) = 1$ there -exist another integer $b$ such that $ab \equiv 1 \mbox{ (mod }p\mbox{)}$. The integer $b$ is called the multiplicative inverse of $a$ which is -denoted as $b = a^{-1}$. Technically speaking modular inversion is a well defined operation for any finite ring or field not just for rings and -fields of integers. However, the former will be the matter of discussion. - -The simplest approach is to compute the algebraic inverse of the input. That is to compute $b \equiv a^{\Phi(p) - 1}$. If $\Phi(p)$ is the -order of the multiplicative subgroup modulo $p$ then $b$ must be the multiplicative inverse of $a$. The proof of which is trivial. - -\begin{equation} -ab \equiv a \left (a^{\Phi(p) - 1} \right ) \equiv a^{\Phi(p)} \equiv a^0 \equiv 1 \mbox{ (mod }p\mbox{)} -\end{equation} - -However, as simple as this approach may be it has two serious flaws. It requires that the value of $\Phi(p)$ be known which if $p$ is composite -requires all of the prime factors. This approach also is very slow as the size of $p$ grows. - -A simpler approach is based on the observation that solving for the multiplicative inverse is equivalent to solving the linear -Diophantine\footnote{See LeVeque \cite[pp. 40-43]{LeVeque} for more information.} equation. - -\begin{equation} -ab + pq = 1 -\end{equation} - -Where $a$, $b$, $p$ and $q$ are all integers. If such a pair of integers $ \left < b, q \right >$ exist than $b$ is the multiplicative inverse of -$a$ modulo $p$. The extended Euclidean algorithm (Knuth \cite[pp. 342]{TAOCPV2}) can be used to solve such equations provided $(a, p) = 1$. -However, instead of using that algorithm directly a variant known as the binary Extended Euclidean algorithm will be used in its place. The -binary approach is very similar to the binary greatest common divisor algorithm except it will produce a full solution to the Diophantine -equation. - -\subsection{General Case} -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_invmod}. \\ -\textbf{Input}. mp\_int $a$ and $b$, $(a, b) = 1$, $p \ge 2$, $0 < a < p$. \\ -\textbf{Output}. The modular inverse $c \equiv a^{-1} \mbox{ (mod }b\mbox{)}$. \\ -\hline \\ -1. If $b \le 0$ then return(\textit{MP\_VAL}). \\ -2. If $b_0 \equiv 1 \mbox{ (mod }2\mbox{)}$ then use algorithm fast\_mp\_invmod. \\ -3. $x \leftarrow \vert a \vert, y \leftarrow b$ \\ -4. If $x_0 \equiv y_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ then return(\textit{MP\_VAL}). \\ -5. $B \leftarrow 0, C \leftarrow 0, A \leftarrow 1, D \leftarrow 1$ \\ -6. While $u.used > 0$ and $u_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}6.1 $u \leftarrow \lfloor u / 2 \rfloor$ \\ -\hspace{3mm}6.2 If ($A.used > 0$ and $A_0 \equiv 1 \mbox{ (mod }2\mbox{)}$) or ($B.used > 0$ and $B_0 \equiv 1 \mbox{ (mod }2\mbox{)}$) then \\ -\hspace{6mm}6.2.1 $A \leftarrow A + y$ \\ -\hspace{6mm}6.2.2 $B \leftarrow B - x$ \\ -\hspace{3mm}6.3 $A \leftarrow \lfloor A / 2 \rfloor$ \\ -\hspace{3mm}6.4 $B \leftarrow \lfloor B / 2 \rfloor$ \\ -7. While $v.used > 0$ and $v_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}7.1 $v \leftarrow \lfloor v / 2 \rfloor$ \\ -\hspace{3mm}7.2 If ($C.used > 0$ and $C_0 \equiv 1 \mbox{ (mod }2\mbox{)}$) or ($D.used > 0$ and $D_0 \equiv 1 \mbox{ (mod }2\mbox{)}$) then \\ -\hspace{6mm}7.2.1 $C \leftarrow C + y$ \\ -\hspace{6mm}7.2.2 $D \leftarrow D - x$ \\ -\hspace{3mm}7.3 $C \leftarrow \lfloor C / 2 \rfloor$ \\ -\hspace{3mm}7.4 $D \leftarrow \lfloor D / 2 \rfloor$ \\ -8. If $u \ge v$ then \\ -\hspace{3mm}8.1 $u \leftarrow u - v$ \\ -\hspace{3mm}8.2 $A \leftarrow A - C$ \\ -\hspace{3mm}8.3 $B \leftarrow B - D$ \\ -9. else \\ -\hspace{3mm}9.1 $v \leftarrow v - u$ \\ -\hspace{3mm}9.2 $C \leftarrow C - A$ \\ -\hspace{3mm}9.3 $D \leftarrow D - B$ \\ -10. If $u \ne 0$ goto step 6. \\ -11. If $v \ne 1$ return(\textit{MP\_VAL}). \\ -12. While $C \le 0$ do \\ -\hspace{3mm}12.1 $C \leftarrow C + b$ \\ -13. While $C \ge b$ do \\ -\hspace{3mm}13.1 $C \leftarrow C - b$ \\ -14. $c \leftarrow C$ \\ -15. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\end{figure} -\textbf{Algorithm mp\_invmod.} -This algorithm computes the modular multiplicative inverse of an integer $a$ modulo an integer $b$. This algorithm is a variation of the -extended binary Euclidean algorithm from HAC \cite[pp. 608]{HAC}. It has been modified to only compute the modular inverse and not a complete -Diophantine solution. - -If $b \le 0$ than the modulus is invalid and MP\_VAL is returned. Similarly if both $a$ and $b$ are even then there cannot be a multiplicative -inverse for $a$ and the error is reported. - -The astute reader will observe that steps seven through nine are very similar to the binary greatest common divisor algorithm mp\_gcd. In this case -the other variables to the Diophantine equation are solved. The algorithm terminates when $u = 0$ in which case the solution is - -\begin{equation} -Ca + Db = v -\end{equation} - -If $v$, the greatest common divisor of $a$ and $b$ is not equal to one then the algorithm will report an error as no inverse exists. Otherwise, $C$ -is the modular inverse of $a$. The actual value of $C$ is congruent to, but not necessarily equal to, the ideal modular inverse which should lie -within $1 \le a^{-1} < b$. Step numbers twelve and thirteen adjust the inverse until it is in range. If the original input $a$ is within $0 < a < p$ -then only a couple of additions or subtractions will be required to adjust the inverse. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_invmod.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\subsubsection{Odd Moduli} - -When the modulus $b$ is odd the variables $A$ and $C$ are fixed and are not required to compute the inverse. In particular by attempting to solve -the Diophantine $Cb + Da = 1$ only $B$ and $D$ are required to find the inverse of $a$. - -The algorithm fast\_mp\_invmod is a direct adaptation of algorithm mp\_invmod with all all steps involving either $A$ or $C$ removed. This -optimization will halve the time required to compute the modular inverse. - -\section{Primality Tests} - -A non-zero integer $a$ is said to be prime if it is not divisible by any other integer excluding one and itself. For example, $a = 7$ is prime -since the integers $2 \ldots 6$ do not evenly divide $a$. By contrast, $a = 6$ is not prime since $a = 6 = 2 \cdot 3$. - -Prime numbers arise in cryptography considerably as they allow finite fields to be formed. The ability to determine whether an integer is prime or -not quickly has been a viable subject in cryptography and number theory for considerable time. The algorithms that will be presented are all -probablistic algorithms in that when they report an integer is composite it must be composite. However, when the algorithms report an integer is -prime the algorithm may be incorrect. - -As will be discussed it is possible to limit the probability of error so well that for practical purposes the probablity of error might as -well be zero. For the purposes of these discussions let $n$ represent the candidate integer of which the primality is in question. - -\subsection{Trial Division} - -Trial division means to attempt to evenly divide a candidate integer by small prime integers. If the candidate can be evenly divided it obviously -cannot be prime. By dividing by all primes $1 < p \le \sqrt{n}$ this test can actually prove whether an integer is prime. However, such a test -would require a prohibitive amount of time as $n$ grows. - -Instead of dividing by every prime, a smaller, more mangeable set of primes may be used instead. By performing trial division with only a subset -of the primes less than $\sqrt{n} + 1$ the algorithm cannot prove if a candidate is prime. However, often it can prove a candidate is not prime. - -The benefit of this test is that trial division by small values is fairly efficient. Specially compared to the other algorithms that will be -discussed shortly. The probability that this approach correctly identifies a composite candidate when tested with all primes upto $q$ is given by -$1 - {1.12 \over ln(q)}$. The graph (\ref{pic:primality}, will be added later) demonstrates the probability of success for the range -$3 \le q \le 100$. - -At approximately $q = 30$ the gain of performing further tests diminishes fairly quickly. At $q = 90$ further testing is generally not going to -be of any practical use. In the case of LibTomMath the default limit $q = 256$ was chosen since it is not too high and will eliminate -approximately $80\%$ of all candidate integers. The constant \textbf{PRIME\_SIZE} is equal to the number of primes in the test base. The -array \_\_prime\_tab is an array of the first \textbf{PRIME\_SIZE} prime numbers. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_prime\_is\_divisible}. \\ -\textbf{Input}. mp\_int $a$ \\ -\textbf{Output}. $c = 1$ if $n$ is divisible by a small prime, otherwise $c = 0$. \\ -\hline \\ -1. for $ix$ from $0$ to $PRIME\_SIZE$ do \\ -\hspace{3mm}1.1 $d \leftarrow n \mbox{ (mod }\_\_prime\_tab_{ix}\mbox{)}$ \\ -\hspace{3mm}1.2 If $d = 0$ then \\ -\hspace{6mm}1.2.1 $c \leftarrow 1$ \\ -\hspace{6mm}1.2.2 Return(\textit{MP\_OKAY}). \\ -2. $c \leftarrow 0$ \\ -3. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_prime\_is\_divisible} -\end{figure} -\textbf{Algorithm mp\_prime\_is\_divisible.} -This algorithm attempts to determine if a candidate integer $n$ is composite by performing trial divisions. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_prime\_is\_divisible.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The algorithm defaults to a return of $0$ in case an error occurs. The values in the prime table are all specified to be in the range of a -mp\_digit. The table \_\_prime\_tab is defined in the following file. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_prime\_tab.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Note that there are two possible tables. When an mp\_digit is 7-bits long only the primes upto $127$ may be included, otherwise the primes -upto $1619$ are used. Note that the value of \textbf{PRIME\_SIZE} is a constant dependent on the size of a mp\_digit. - -\subsection{The Fermat Test} -The Fermat test is probably one the oldest tests to have a non-trivial probability of success. It is based on the fact that if $n$ is in -fact prime then $a^{n} \equiv a \mbox{ (mod }n\mbox{)}$ for all $0 < a < n$. The reason being that if $n$ is prime than the order of -the multiplicative sub group is $n - 1$. Any base $a$ must have an order which divides $n - 1$ and as such $a^n$ is equivalent to -$a^1 = a$. - -If $n$ is composite then any given base $a$ does not have to have a period which divides $n - 1$. In which case -it is possible that $a^n \nequiv a \mbox{ (mod }n\mbox{)}$. However, this test is not absolute as it is possible that the order -of a base will divide $n - 1$ which would then be reported as prime. Such a base yields what is known as a Fermat pseudo-prime. Several -integers known as Carmichael numbers will be a pseudo-prime to all valid bases. Fortunately such numbers are extremely rare as $n$ grows -in size. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_prime\_fermat}. \\ -\textbf{Input}. mp\_int $a$ and $b$, $a \ge 2$, $0 < b < a$. \\ -\textbf{Output}. $c = 1$ if $b^a \equiv b \mbox{ (mod }a\mbox{)}$, otherwise $c = 0$. \\ -\hline \\ -1. $t \leftarrow b^a \mbox{ (mod }a\mbox{)}$ \\ -2. If $t = b$ then \\ -\hspace{3mm}2.1 $c = 1$ \\ -3. else \\ -\hspace{3mm}3.1 $c = 0$ \\ -4. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_prime\_fermat} -\end{figure} -\textbf{Algorithm mp\_prime\_fermat.} -This algorithm determines whether an mp\_int $a$ is a Fermat prime to the base $b$ or not. It uses a single modular exponentiation to -determine the result. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_prime\_fermat.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\subsection{The Miller-Rabin Test} -The Miller-Rabin (citation) test is another primality test which has tighter error bounds than the Fermat test specifically with sequentially chosen -candidate integers. The algorithm is based on the observation that if $n - 1 = 2^kr$ and if $b^r \nequiv \pm 1$ then after upto $k - 1$ squarings the -value must be equal to $-1$. The squarings are stopped as soon as $-1$ is observed. If the value of $1$ is observed first it means that -some value not congruent to $\pm 1$ when squared equals one which cannot occur if $n$ is prime. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_prime\_miller\_rabin}. \\ -\textbf{Input}. mp\_int $a$ and $b$, $a \ge 2$, $0 < b < a$. \\ -\textbf{Output}. $c = 1$ if $a$ is a Miller-Rabin prime to the base $a$, otherwise $c = 0$. \\ -\hline -1. $a' \leftarrow a - 1$ \\ -2. $r \leftarrow n1$ \\ -3. $c \leftarrow 0, s \leftarrow 0$ \\ -4. While $r.used > 0$ and $r_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}4.1 $s \leftarrow s + 1$ \\ -\hspace{3mm}4.2 $r \leftarrow \lfloor r / 2 \rfloor$ \\ -5. $y \leftarrow b^r \mbox{ (mod }a\mbox{)}$ \\ -6. If $y \nequiv \pm 1$ then \\ -\hspace{3mm}6.1 $j \leftarrow 1$ \\ -\hspace{3mm}6.2 While $j \le (s - 1)$ and $y \nequiv a'$ \\ -\hspace{6mm}6.2.1 $y \leftarrow y^2 \mbox{ (mod }a\mbox{)}$ \\ -\hspace{6mm}6.2.2 If $y = 1$ then goto step 8. \\ -\hspace{6mm}6.2.3 $j \leftarrow j + 1$ \\ -\hspace{3mm}6.3 If $y \nequiv a'$ goto step 8. \\ -7. $c \leftarrow 1$\\ -8. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_prime\_miller\_rabin} -\end{figure} -\textbf{Algorithm mp\_prime\_miller\_rabin.} -This algorithm performs one trial round of the Miller-Rabin algorithm to the base $b$. It will set $c = 1$ if the algorithm cannot determine -if $b$ is composite or $c = 0$ if $b$ is provably composite. The values of $s$ and $r$ are computed such that $a' = a - 1 = 2^sr$. - -If the value $y \equiv b^r$ is congruent to $\pm 1$ then the algorithm cannot prove if $a$ is composite or not. Otherwise, the algorithm will -square $y$ upto $s - 1$ times stopping only when $y \equiv -1$. If $y^2 \equiv 1$ and $y \nequiv \pm 1$ then the algorithm can report that $a$ -is provably composite. If the algorithm performs $s - 1$ squarings and $y \nequiv -1$ then $a$ is provably composite. If $a$ is not provably -composite then it is \textit{probably} prime. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_prime\_miller\_rabin.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - - - - -\backmatter -\appendix -\begin{thebibliography}{ABCDEF} -\bibitem[1]{TAOCPV2} -Donald Knuth, \textit{The Art of Computer Programming}, Third Edition, Volume Two, Seminumerical Algorithms, Addison-Wesley, 1998 - -\bibitem[2]{HAC} -A. Menezes, P. van Oorschot, S. Vanstone, \textit{Handbook of Applied Cryptography}, CRC Press, 1996 - -\bibitem[3]{ROSE} -Michael Rosing, \textit{Implementing Elliptic Curve Cryptography}, Manning Publications, 1999 - -\bibitem[4]{COMBA} -Paul G. Comba, \textit{Exponentiation Cryptosystems on the IBM PC}. IBM Systems Journal 29(4): 526-538 (1990) - -\bibitem[5]{KARA} -A. Karatsuba, Doklay Akad. Nauk SSSR 145 (1962), pp.293-294 - -\bibitem[6]{KARAP} -Andre Weimerskirch and Christof Paar, \textit{Generalizations of the Karatsuba Algorithm for Polynomial Multiplication}, Submitted to Design, Codes and Cryptography, March 2002 - -\bibitem[7]{BARRETT} -Paul Barrett, \textit{Implementing the Rivest Shamir and Adleman Public Key Encryption Algorithm on a Standard Digital Signal Processor}, Advances in Cryptology, Crypto '86, Springer-Verlag. - -\bibitem[8]{MONT} -P.L.Montgomery. \textit{Modular multiplication without trial division}. Mathematics of Computation, 44(170):519-521, April 1985. - -\bibitem[9]{DRMET} -Chae Hoon Lim and Pil Joong Lee, \textit{Generating Efficient Primes for Discrete Log Cryptosystems}, POSTECH Information Research Laboratories - -\bibitem[10]{MMB} -J. Daemen and R. Govaerts and J. Vandewalle, \textit{Block ciphers based on Modular Arithmetic}, State and {P}rogress in the {R}esearch of {C}ryptography, 1993, pp. 80-89 - -\bibitem[11]{RSAREF} -R.L. Rivest, A. Shamir, L. Adleman, \textit{A Method for Obtaining Digital Signatures and Public-Key Cryptosystems} - -\bibitem[12]{DHREF} -Whitfield Diffie, Martin E. Hellman, \textit{New Directions in Cryptography}, IEEE Transactions on Information Theory, 1976 - -\bibitem[13]{IEEE} -IEEE Standard for Binary Floating-Point Arithmetic (ANSI/IEEE Std 754-1985) - -\bibitem[14]{GMP} -GNU Multiple Precision (GMP), \url{http://www.swox.com/gmp/} - -\bibitem[15]{MPI} -Multiple Precision Integer Library (MPI), Michael Fromberger, \url{http://thayer.dartmouth.edu/~sting/mpi/} - -\bibitem[16]{OPENSSL} -OpenSSL Cryptographic Toolkit, \url{http://openssl.org} - -\bibitem[17]{LIP} -Large Integer Package, \url{http://home.hetnet.nl/~ecstr/LIP.zip} - -\bibitem[18]{ISOC} -JTC1/SC22/WG14, ISO/IEC 9899:1999, ``A draft rationale for the C99 standard.'' - -\bibitem[19]{JAVA} -The Sun Java Website, \url{http://java.sun.com/} - -\end{thebibliography} - -\input{tommath.ind} - -\end{document} diff --git a/libtommath/tommath_class.h b/libtommath/tommath_class.h index b9cc902..2085521 100644 --- a/libtommath/tommath_class.h +++ b/libtommath/tommath_class.h @@ -38,7 +38,9 @@ #define BN_MP_DR_REDUCE_C #define BN_MP_DR_SETUP_C #define BN_MP_EXCH_C +#define BN_MP_EXPORT_C #define BN_MP_EXPT_D_C +#define BN_MP_EXPT_D_EX_C #define BN_MP_EXPTMOD_C #define BN_MP_EXPTMOD_FAST_C #define BN_MP_EXTEUCLID_C @@ -46,7 +48,10 @@ #define BN_MP_FWRITE_C #define BN_MP_GCD_C #define BN_MP_GET_INT_C +#define BN_MP_GET_LONG_C +#define BN_MP_GET_LONG_LONG_C #define BN_MP_GROW_C +#define BN_MP_IMPORT_C #define BN_MP_INIT_C #define BN_MP_INIT_COPY_C #define BN_MP_INIT_MULTI_C @@ -73,6 +78,7 @@ #define BN_MP_MUL_D_C #define BN_MP_MULMOD_C #define BN_MP_N_ROOT_C +#define BN_MP_N_ROOT_EX_C #define BN_MP_NEG_C #define BN_MP_OR_C #define BN_MP_PRIME_FERMAT_C @@ -99,11 +105,14 @@ #define BN_MP_RSHD_C #define BN_MP_SET_C #define BN_MP_SET_INT_C +#define BN_MP_SET_LONG_C +#define BN_MP_SET_LONG_LONG_C #define BN_MP_SHRINK_C #define BN_MP_SIGNED_BIN_SIZE_C #define BN_MP_SQR_C #define BN_MP_SQRMOD_C #define BN_MP_SQRT_C +#define BN_MP_SQRTMOD_PRIME_C #define BN_MP_SUB_C #define BN_MP_SUB_D_C #define BN_MP_SUBMOD_C @@ -315,12 +324,23 @@ #if defined(BN_MP_EXCH_C) #endif +#if defined(BN_MP_EXPORT_C) + #define BN_MP_INIT_COPY_C + #define BN_MP_COUNT_BITS_C + #define BN_MP_DIV_2D_C + #define BN_MP_CLEAR_C +#endif + #if defined(BN_MP_EXPT_D_C) + #define BN_MP_EXPT_D_EX_C +#endif + +#if defined(BN_MP_EXPT_D_EX_C) #define BN_MP_INIT_COPY_C #define BN_MP_SET_C - #define BN_MP_SQR_C - #define BN_MP_CLEAR_C #define BN_MP_MUL_C + #define BN_MP_CLEAR_C + #define BN_MP_SQR_C #endif #if defined(BN_MP_EXPTMOD_C) @@ -387,7 +407,6 @@ #if defined(BN_MP_GCD_C) #define BN_MP_ISZERO_C #define BN_MP_ABS_C - #define BN_MP_ZERO_C #define BN_MP_INIT_COPY_C #define BN_MP_CNT_LSB_C #define BN_MP_DIV_2D_C @@ -401,13 +420,26 @@ #if defined(BN_MP_GET_INT_C) #endif +#if defined(BN_MP_GET_LONG_C) +#endif + +#if defined(BN_MP_GET_LONG_LONG_C) +#endif + #if defined(BN_MP_GROW_C) #endif +#if defined(BN_MP_IMPORT_C) + #define BN_MP_ZERO_C + #define BN_MP_MUL_2D_C + #define BN_MP_CLAMP_C +#endif + #if defined(BN_MP_INIT_C) #endif #if defined(BN_MP_INIT_COPY_C) + #define BN_MP_INIT_SIZE_C #define BN_MP_COPY_C #endif @@ -481,8 +513,9 @@ #define BN_MP_MUL_C #define BN_MP_INIT_SIZE_C #define BN_MP_CLAMP_C - #define BN_MP_SUB_C + #define BN_S_MP_ADD_C #define BN_MP_ADD_C + #define BN_S_MP_SUB_C #define BN_MP_LSHD_C #define BN_MP_CLEAR_C #endif @@ -491,8 +524,8 @@ #define BN_MP_INIT_SIZE_C #define BN_MP_CLAMP_C #define BN_MP_SQR_C - #define BN_MP_SUB_C #define BN_S_MP_ADD_C + #define BN_S_MP_SUB_C #define BN_MP_LSHD_C #define BN_MP_ADD_C #define BN_MP_CLEAR_C @@ -516,8 +549,9 @@ #define BN_MP_INIT_C #define BN_MP_DIV_C #define BN_MP_CLEAR_C - #define BN_MP_ADD_C + #define BN_MP_ISZERO_C #define BN_MP_EXCH_C + #define BN_MP_ADD_C #endif #if defined(BN_MP_MOD_2D_C) @@ -583,10 +617,14 @@ #endif #if defined(BN_MP_N_ROOT_C) + #define BN_MP_N_ROOT_EX_C +#endif + +#if defined(BN_MP_N_ROOT_EX_C) #define BN_MP_INIT_C #define BN_MP_SET_C #define BN_MP_COPY_C - #define BN_MP_EXPT_D_C + #define BN_MP_EXPT_D_EX_C #define BN_MP_MUL_C #define BN_MP_SUB_C #define BN_MP_MUL_D_C @@ -667,9 +705,9 @@ #endif #if defined(BN_MP_RADIX_SIZE_C) + #define BN_MP_ISZERO_C #define BN_MP_COUNT_BITS_C #define BN_MP_INIT_COPY_C - #define BN_MP_ISZERO_C #define BN_MP_DIV_D_C #define BN_MP_CLEAR_C #endif @@ -687,7 +725,6 @@ #if defined(BN_MP_READ_RADIX_C) #define BN_MP_ZERO_C #define BN_MP_S_RMAP_C - #define BN_MP_RADIX_SMAP_C #define BN_MP_MUL_D_C #define BN_MP_ADD_D_C #define BN_MP_ISZERO_C @@ -788,6 +825,12 @@ #define BN_MP_CLAMP_C #endif +#if defined(BN_MP_SET_LONG_C) +#endif + +#if defined(BN_MP_SET_LONG_LONG_C) +#endif + #if defined(BN_MP_SHRINK_C) #endif @@ -823,6 +866,25 @@ #define BN_MP_CLEAR_C #endif +#if defined(BN_MP_SQRTMOD_PRIME_C) + #define BN_MP_CMP_D_C + #define BN_MP_ZERO_C + #define BN_MP_JACOBI_C + #define BN_MP_INIT_MULTI_C + #define BN_MP_MOD_D_C + #define BN_MP_ADD_D_C + #define BN_MP_DIV_2_C + #define BN_MP_EXPTMOD_C + #define BN_MP_COPY_C + #define BN_MP_SUB_D_C + #define BN_MP_ISEVEN_C + #define BN_MP_SET_INT_C + #define BN_MP_SQRMOD_C + #define BN_MP_MULMOD_C + #define BN_MP_SET_C + #define BN_MP_CLEAR_MULTI_C +#endif + #if defined(BN_MP_SUB_C) #define BN_S_MP_ADD_C #define BN_MP_CMP_MAG_C diff --git a/libtommath/tommath_superclass.h b/libtommath/tommath_superclass.h index e3926df..1b26841 100644 --- a/libtommath/tommath_superclass.h +++ b/libtommath/tommath_superclass.h @@ -70,3 +70,7 @@ #endif #endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/unix/Makefile.in b/unix/Makefile.in index 570bce0..70e7c9f3f2 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -320,8 +320,8 @@ TOMMATH_OBJS = bncore.o bn_reverse.o bn_fast_s_mp_mul_digs.o \ bn_mp_cnt_lsb.o bn_mp_copy.o \ bn_mp_count_bits.o bn_mp_div.o bn_mp_div_d.o bn_mp_div_2.o \ bn_mp_div_2d.o bn_mp_div_3.o \ - bn_mp_exch.o bn_mp_expt_d.o bn_mp_grow.o bn_mp_init.o \ - bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o \ + bn_mp_exch.o bn_mp_expt_d_ex.o bn_mp_expt_d.o bn_mp_grow.o \ + bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o \ bn_mp_init_set_int.o bn_mp_init_size.o bn_mp_karatsuba_mul.o \ bn_mp_karatsuba_sqr.o \ bn_mp_lshd.o bn_mp_mod.o bn_mp_mod_2d.o bn_mp_mul.o bn_mp_mul_2.o \ @@ -502,6 +502,7 @@ TOMMATH_SRCS = \ $(TOMMATH_DIR)/bn_mp_div_2d.c \ $(TOMMATH_DIR)/bn_mp_div_3.c \ $(TOMMATH_DIR)/bn_mp_exch.c \ + $(TOMMATH_DIR)/bn_mp_expt_d_ex.c \ $(TOMMATH_DIR)/bn_mp_expt_d.c \ $(TOMMATH_DIR)/bn_mp_grow.c \ $(TOMMATH_DIR)/bn_mp_init.c \ @@ -1417,6 +1418,9 @@ bn_mp_div_3.o: $(TOMMATH_DIR)/bn_mp_div_3.c $(MATHHDRS) bn_mp_exch.o: $(TOMMATH_DIR)/bn_mp_exch.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_exch.c +bn_mp_expt_d_ex.o: $(TOMMATH_DIR)/bn_mp_expt_d_ex.c $(MATHHDRS) + $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_expt_d_ex.c + bn_mp_expt_d.o: $(TOMMATH_DIR)/bn_mp_expt_d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_expt_d.c -- cgit v0.12 From 8377ed833a9566731442ef744b419425638d5040 Mon Sep 17 00:00:00 2001 From: gahr Date: Sun, 13 Mar 2016 17:23:31 +0000 Subject: [e6f27aa56f] Add files I missed in my previous commit --- libtommath/bn_mp_export.c | 88 ++++++++++++++++++++++++++ libtommath/bn_mp_expt_d_ex.c | 83 ++++++++++++++++++++++++ libtommath/bn_mp_get_long.c | 41 ++++++++++++ libtommath/bn_mp_get_long_long.c | 41 ++++++++++++ libtommath/bn_mp_import.c | 73 ++++++++++++++++++++++ libtommath/bn_mp_n_root_ex.c | 132 +++++++++++++++++++++++++++++++++++++++ libtommath/bn_mp_set_long.c | 24 +++++++ libtommath/bn_mp_set_long_long.c | 24 +++++++ libtommath/bn_mp_sqrtmod_prime.c | 124 ++++++++++++++++++++++++++++++++++++ libtommath/tommath_private.h | 125 ++++++++++++++++++++++++++++++++++++ 10 files changed, 755 insertions(+) create mode 100644 libtommath/bn_mp_export.c create mode 100644 libtommath/bn_mp_expt_d_ex.c create mode 100644 libtommath/bn_mp_get_long.c create mode 100644 libtommath/bn_mp_get_long_long.c create mode 100644 libtommath/bn_mp_import.c create mode 100644 libtommath/bn_mp_n_root_ex.c create mode 100644 libtommath/bn_mp_set_long.c create mode 100644 libtommath/bn_mp_set_long_long.c create mode 100644 libtommath/bn_mp_sqrtmod_prime.c create mode 100644 libtommath/tommath_private.h diff --git a/libtommath/bn_mp_export.c b/libtommath/bn_mp_export.c new file mode 100644 index 0000000..ac4c2f9 --- /dev/null +++ b/libtommath/bn_mp_export.c @@ -0,0 +1,88 @@ +#include +#ifdef BN_MP_EXPORT_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* based on gmp's mpz_export. + * see http://gmplib.org/manual/Integer-Import-and-Export.html + */ +int mp_export(void* rop, size_t* countp, int order, size_t size, + int endian, size_t nails, mp_int* op) { + int result; + size_t odd_nails, nail_bytes, i, j, bits, count; + unsigned char odd_nail_mask; + + mp_int t; + + if ((result = mp_init_copy(&t, op)) != MP_OKAY) { + return result; + } + + if (endian == 0) { + union { + unsigned int i; + char c[4]; + } lint; + lint.i = 0x01020304; + + endian = (lint.c[0] == 4) ? -1 : 1; + } + + odd_nails = (nails % 8); + odd_nail_mask = 0xff; + for (i = 0; i < odd_nails; ++i) { + odd_nail_mask ^= (1 << (7 - i)); + } + nail_bytes = nails / 8; + + bits = mp_count_bits(&t); + count = (bits / ((size * 8) - nails)) + (((bits % ((size * 8) - nails)) != 0) ? 1 : 0); + + for (i = 0; i < count; ++i) { + for (j = 0; j < size; ++j) { + unsigned char* byte = ( + (unsigned char*)rop + + (((order == -1) ? i : ((count - 1) - i)) * size) + + ((endian == -1) ? j : ((size - 1) - j)) + ); + + if (j >= (size - nail_bytes)) { + *byte = 0; + continue; + } + + *byte = (unsigned char)((j == ((size - nail_bytes) - 1)) ? (t.dp[0] & odd_nail_mask) : (t.dp[0] & 0xFF)); + + if ((result = mp_div_2d(&t, ((j == ((size - nail_bytes) - 1)) ? (8 - odd_nails) : 8), &t, NULL)) != MP_OKAY) { + mp_clear(&t); + return result; + } + } + } + + mp_clear(&t); + + if (countp != NULL) { + *countp = count; + } + + return MP_OKAY; +} + +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_expt_d_ex.c b/libtommath/bn_mp_expt_d_ex.c new file mode 100644 index 0000000..649d224 --- /dev/null +++ b/libtommath/bn_mp_expt_d_ex.c @@ -0,0 +1,83 @@ +#include +#ifdef BN_MP_EXPT_D_EX_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* calculate c = a**b using a square-multiply algorithm */ +int mp_expt_d_ex (mp_int * a, mp_digit b, mp_int * c, int fast) +{ + int res; + unsigned int x; + + mp_int g; + + if ((res = mp_init_copy (&g, a)) != MP_OKAY) { + return res; + } + + /* set initial result */ + mp_set (c, 1); + + if (fast != 0) { + while (b > 0) { + /* if the bit is set multiply */ + if ((b & 1) != 0) { + if ((res = mp_mul (c, &g, c)) != MP_OKAY) { + mp_clear (&g); + return res; + } + } + + /* square */ + if (b > 1) { + if ((res = mp_sqr (&g, &g)) != MP_OKAY) { + mp_clear (&g); + return res; + } + } + + /* shift to next bit */ + b >>= 1; + } + } + else { + for (x = 0; x < DIGIT_BIT; x++) { + /* square */ + if ((res = mp_sqr (c, c)) != MP_OKAY) { + mp_clear (&g); + return res; + } + + /* if the bit is set multiply */ + if ((b & (mp_digit) (((mp_digit)1) << (DIGIT_BIT - 1))) != 0) { + if ((res = mp_mul (c, &g, c)) != MP_OKAY) { + mp_clear (&g); + return res; + } + } + + /* shift to next bit */ + b <<= 1; + } + } /* if ... else */ + + mp_clear (&g); + return MP_OKAY; +} +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_get_long.c b/libtommath/bn_mp_get_long.c new file mode 100644 index 0000000..7c3d0fe --- /dev/null +++ b/libtommath/bn_mp_get_long.c @@ -0,0 +1,41 @@ +#include +#ifdef BN_MP_GET_LONG_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* get the lower unsigned long of an mp_int, platform dependent */ +unsigned long mp_get_long(mp_int * a) +{ + int i; + unsigned long res; + + if (a->used == 0) { + return 0; + } + + /* get number of digits of the lsb we have to read */ + i = MIN(a->used,(int)(((sizeof(unsigned long) * CHAR_BIT) + DIGIT_BIT - 1) / DIGIT_BIT)) - 1; + + /* get most significant digit of result */ + res = DIGIT(a,i); + +#if (ULONG_MAX != 0xffffffffuL) || (DIGIT_BIT < 32) + while (--i >= 0) { + res = (res << DIGIT_BIT) | DIGIT(a,i); + } +#endif + return res; +} +#endif diff --git a/libtommath/bn_mp_get_long_long.c b/libtommath/bn_mp_get_long_long.c new file mode 100644 index 0000000..4b959e6 --- /dev/null +++ b/libtommath/bn_mp_get_long_long.c @@ -0,0 +1,41 @@ +#include +#ifdef BN_MP_GET_LONG_LONG_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* get the lower unsigned long long of an mp_int, platform dependent */ +unsigned long long mp_get_long_long (mp_int * a) +{ + int i; + unsigned long long res; + + if (a->used == 0) { + return 0; + } + + /* get number of digits of the lsb we have to read */ + i = MIN(a->used,(int)(((sizeof(unsigned long long) * CHAR_BIT) + DIGIT_BIT - 1) / DIGIT_BIT)) - 1; + + /* get most significant digit of result */ + res = DIGIT(a,i); + +#if DIGIT_BIT < 64 + while (--i >= 0) { + res = (res << DIGIT_BIT) | DIGIT(a,i); + } +#endif + return res; +} +#endif diff --git a/libtommath/bn_mp_import.c b/libtommath/bn_mp_import.c new file mode 100644 index 0000000..dd4b8e6 --- /dev/null +++ b/libtommath/bn_mp_import.c @@ -0,0 +1,73 @@ +#include +#ifdef BN_MP_IMPORT_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* based on gmp's mpz_import. + * see http://gmplib.org/manual/Integer-Import-and-Export.html + */ +int mp_import(mp_int* rop, size_t count, int order, size_t size, + int endian, size_t nails, const void* op) { + int result; + size_t odd_nails, nail_bytes, i, j; + unsigned char odd_nail_mask; + + mp_zero(rop); + + if (endian == 0) { + union { + unsigned int i; + char c[4]; + } lint; + lint.i = 0x01020304; + + endian = (lint.c[0] == 4) ? -1 : 1; + } + + odd_nails = (nails % 8); + odd_nail_mask = 0xff; + for (i = 0; i < odd_nails; ++i) { + odd_nail_mask ^= (1 << (7 - i)); + } + nail_bytes = nails / 8; + + for (i = 0; i < count; ++i) { + for (j = 0; j < (size - nail_bytes); ++j) { + unsigned char byte = *( + (unsigned char*)op + + (((order == 1) ? i : ((count - 1) - i)) * size) + + ((endian == 1) ? (j + nail_bytes) : (((size - 1) - j) - nail_bytes)) + ); + + if ( + (result = mp_mul_2d(rop, ((j == 0) ? (8 - odd_nails) : 8), rop)) != MP_OKAY) { + return result; + } + + rop->dp[0] |= (j == 0) ? (byte & odd_nail_mask) : byte; + rop->used += 1; + } + } + + mp_clamp(rop); + + return MP_OKAY; +} + +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_n_root_ex.c b/libtommath/bn_mp_n_root_ex.c new file mode 100644 index 0000000..79d1dfb --- /dev/null +++ b/libtommath/bn_mp_n_root_ex.c @@ -0,0 +1,132 @@ +#include +#ifdef BN_MP_N_ROOT_EX_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* find the n'th root of an integer + * + * Result found such that (c)**b <= a and (c+1)**b > a + * + * This algorithm uses Newton's approximation + * x[i+1] = x[i] - f(x[i])/f'(x[i]) + * which will find the root in log(N) time where + * each step involves a fair bit. This is not meant to + * find huge roots [square and cube, etc]. + */ +int mp_n_root_ex (mp_int * a, mp_digit b, mp_int * c, int fast) +{ + mp_int t1, t2, t3; + int res, neg; + + /* input must be positive if b is even */ + if (((b & 1) == 0) && (a->sign == MP_NEG)) { + return MP_VAL; + } + + if ((res = mp_init (&t1)) != MP_OKAY) { + return res; + } + + if ((res = mp_init (&t2)) != MP_OKAY) { + goto LBL_T1; + } + + if ((res = mp_init (&t3)) != MP_OKAY) { + goto LBL_T2; + } + + /* if a is negative fudge the sign but keep track */ + neg = a->sign; + a->sign = MP_ZPOS; + + /* t2 = 2 */ + mp_set (&t2, 2); + + do { + /* t1 = t2 */ + if ((res = mp_copy (&t2, &t1)) != MP_OKAY) { + goto LBL_T3; + } + + /* t2 = t1 - ((t1**b - a) / (b * t1**(b-1))) */ + + /* t3 = t1**(b-1) */ + if ((res = mp_expt_d_ex (&t1, b - 1, &t3, fast)) != MP_OKAY) { + goto LBL_T3; + } + + /* numerator */ + /* t2 = t1**b */ + if ((res = mp_mul (&t3, &t1, &t2)) != MP_OKAY) { + goto LBL_T3; + } + + /* t2 = t1**b - a */ + if ((res = mp_sub (&t2, a, &t2)) != MP_OKAY) { + goto LBL_T3; + } + + /* denominator */ + /* t3 = t1**(b-1) * b */ + if ((res = mp_mul_d (&t3, b, &t3)) != MP_OKAY) { + goto LBL_T3; + } + + /* t3 = (t1**b - a)/(b * t1**(b-1)) */ + if ((res = mp_div (&t2, &t3, &t3, NULL)) != MP_OKAY) { + goto LBL_T3; + } + + if ((res = mp_sub (&t1, &t3, &t2)) != MP_OKAY) { + goto LBL_T3; + } + } while (mp_cmp (&t1, &t2) != MP_EQ); + + /* result can be off by a few so check */ + for (;;) { + if ((res = mp_expt_d_ex (&t1, b, &t2, fast)) != MP_OKAY) { + goto LBL_T3; + } + + if (mp_cmp (&t2, a) == MP_GT) { + if ((res = mp_sub_d (&t1, 1, &t1)) != MP_OKAY) { + goto LBL_T3; + } + } else { + break; + } + } + + /* reset the sign of a first */ + a->sign = neg; + + /* set the result */ + mp_exch (&t1, c); + + /* set the sign of the result */ + c->sign = neg; + + res = MP_OKAY; + +LBL_T3:mp_clear (&t3); +LBL_T2:mp_clear (&t2); +LBL_T1:mp_clear (&t1); + return res; +} +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_set_long.c b/libtommath/bn_mp_set_long.c new file mode 100644 index 0000000..281fce7 --- /dev/null +++ b/libtommath/bn_mp_set_long.c @@ -0,0 +1,24 @@ +#include +#ifdef BN_MP_SET_LONG_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* set a platform dependent unsigned long int */ +MP_SET_XLONG(mp_set_long, unsigned long) +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_set_long_long.c b/libtommath/bn_mp_set_long_long.c new file mode 100644 index 0000000..3c4b01a --- /dev/null +++ b/libtommath/bn_mp_set_long_long.c @@ -0,0 +1,24 @@ +#include +#ifdef BN_MP_SET_LONG_LONG_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* set a platform dependent unsigned long long int */ +MP_SET_XLONG(mp_set_long_long, unsigned long long) +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_sqrtmod_prime.c b/libtommath/bn_mp_sqrtmod_prime.c new file mode 100644 index 0000000..968729e --- /dev/null +++ b/libtommath/bn_mp_sqrtmod_prime.c @@ -0,0 +1,124 @@ +#include +#ifdef BN_MP_SQRTMOD_PRIME_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library is free for all purposes without any express + * guarantee it works. + */ + +/* Tonelli-Shanks algorithm + * https://en.wikipedia.org/wiki/Tonelli%E2%80%93Shanks_algorithm + * https://gmplib.org/list-archives/gmp-discuss/2013-April/005300.html + * + */ + +int mp_sqrtmod_prime(mp_int *n, mp_int *prime, mp_int *ret) +{ + int res, legendre; + mp_int t1, C, Q, S, Z, M, T, R, two; + mp_digit i; + + /* first handle the simple cases */ + if (mp_cmp_d(n, 0) == MP_EQ) { + mp_zero(ret); + return MP_OKAY; + } + if (mp_cmp_d(prime, 2) == MP_EQ) return MP_VAL; /* prime must be odd */ + if ((res = mp_jacobi(n, prime, &legendre)) != MP_OKAY) return res; + if (legendre == -1) return MP_VAL; /* quadratic non-residue mod prime */ + + if ((res = mp_init_multi(&t1, &C, &Q, &S, &Z, &M, &T, &R, &two, NULL)) != MP_OKAY) { + return res; + } + + /* SPECIAL CASE: if prime mod 4 == 3 + * compute directly: res = n^(prime+1)/4 mod prime + * Handbook of Applied Cryptography algorithm 3.36 + */ + if ((res = mp_mod_d(prime, 4, &i)) != MP_OKAY) goto cleanup; + if (i == 3) { + if ((res = mp_add_d(prime, 1, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_exptmod(n, &t1, prime, ret)) != MP_OKAY) goto cleanup; + res = MP_OKAY; + goto cleanup; + } + + /* NOW: Tonelli-Shanks algorithm */ + + /* factor out powers of 2 from prime-1, defining Q and S as: prime-1 = Q*2^S */ + if ((res = mp_copy(prime, &Q)) != MP_OKAY) goto cleanup; + if ((res = mp_sub_d(&Q, 1, &Q)) != MP_OKAY) goto cleanup; + /* Q = prime - 1 */ + mp_zero(&S); + /* S = 0 */ + while (mp_iseven(&Q) != MP_NO) { + if ((res = mp_div_2(&Q, &Q)) != MP_OKAY) goto cleanup; + /* Q = Q / 2 */ + if ((res = mp_add_d(&S, 1, &S)) != MP_OKAY) goto cleanup; + /* S = S + 1 */ + } + + /* find a Z such that the Legendre symbol (Z|prime) == -1 */ + if ((res = mp_set_int(&Z, 2)) != MP_OKAY) goto cleanup; + /* Z = 2 */ + while(1) { + if ((res = mp_jacobi(&Z, prime, &legendre)) != MP_OKAY) goto cleanup; + if (legendre == -1) break; + if ((res = mp_add_d(&Z, 1, &Z)) != MP_OKAY) goto cleanup; + /* Z = Z + 1 */ + } + + if ((res = mp_exptmod(&Z, &Q, prime, &C)) != MP_OKAY) goto cleanup; + /* C = Z ^ Q mod prime */ + if ((res = mp_add_d(&Q, 1, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; + /* t1 = (Q + 1) / 2 */ + if ((res = mp_exptmod(n, &t1, prime, &R)) != MP_OKAY) goto cleanup; + /* R = n ^ ((Q + 1) / 2) mod prime */ + if ((res = mp_exptmod(n, &Q, prime, &T)) != MP_OKAY) goto cleanup; + /* T = n ^ Q mod prime */ + if ((res = mp_copy(&S, &M)) != MP_OKAY) goto cleanup; + /* M = S */ + if ((res = mp_set_int(&two, 2)) != MP_OKAY) goto cleanup; + + res = MP_VAL; + while (1) { + if ((res = mp_copy(&T, &t1)) != MP_OKAY) goto cleanup; + i = 0; + while (1) { + if (mp_cmp_d(&t1, 1) == MP_EQ) break; + if ((res = mp_exptmod(&t1, &two, prime, &t1)) != MP_OKAY) goto cleanup; + i++; + } + if (i == 0) { + if ((res = mp_copy(&R, ret)) != MP_OKAY) goto cleanup; + res = MP_OKAY; + goto cleanup; + } + if ((res = mp_sub_d(&M, i, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_sub_d(&t1, 1, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_exptmod(&two, &t1, prime, &t1)) != MP_OKAY) goto cleanup; + /* t1 = 2 ^ (M - i - 1) */ + if ((res = mp_exptmod(&C, &t1, prime, &t1)) != MP_OKAY) goto cleanup; + /* t1 = C ^ (2 ^ (M - i - 1)) mod prime */ + if ((res = mp_sqrmod(&t1, prime, &C)) != MP_OKAY) goto cleanup; + /* C = (t1 * t1) mod prime */ + if ((res = mp_mulmod(&R, &t1, prime, &R)) != MP_OKAY) goto cleanup; + /* R = (R * t1) mod prime */ + if ((res = mp_mulmod(&T, &C, prime, &T)) != MP_OKAY) goto cleanup; + /* T = (T * C) mod prime */ + mp_set(&M, i); + /* M = i */ + } + +cleanup: + mp_clear_multi(&t1, &C, &Q, &S, &Z, &M, &T, &R, &two, NULL); + return res; +} + +#endif diff --git a/libtommath/tommath_private.h b/libtommath/tommath_private.h new file mode 100644 index 0000000..d23c333 --- /dev/null +++ b/libtommath/tommath_private.h @@ -0,0 +1,125 @@ +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://math.libtomcrypt.com + */ +#ifndef TOMMATH_PRIV_H_ +#define TOMMATH_PRIV_H_ + +#include +#include + +#ifndef MIN +#define MIN(x,y) (((x) < (y)) ? (x) : (y)) +#endif + +#ifndef MAX +#define MAX(x,y) (((x) > (y)) ? (x) : (y)) +#endif + +#ifdef __cplusplus +extern "C" { + +/* C++ compilers don't like assigning void * to mp_digit * */ +#define OPT_CAST(x) (x *) + +#else + +/* C on the other hand doesn't care */ +#define OPT_CAST(x) + +#endif + +/* define heap macros */ +#if 0 +#ifndef XMALLOC + /* default to libc stuff */ + #define XMALLOC malloc + #define XFREE free + #define XREALLOC realloc + #define XCALLOC calloc +#else + /* prototypes for our heap functions */ + extern void *XMALLOC(size_t n); + extern void *XREALLOC(void *p, size_t n); + extern void *XCALLOC(size_t n, size_t s); + extern void XFREE(void *p); +#endif +#endif + +/* lowlevel functions, do not call! */ +int s_mp_add(mp_int *a, mp_int *b, mp_int *c); +int s_mp_sub(mp_int *a, mp_int *b, mp_int *c); +#define s_mp_mul(a, b, c) s_mp_mul_digs(a, b, c, (a)->used + (b)->used + 1) +int fast_s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); +int s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); +int fast_s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); +int s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); +int fast_s_mp_sqr(mp_int *a, mp_int *b); +int s_mp_sqr(mp_int *a, mp_int *b); +int mp_karatsuba_mul(mp_int *a, mp_int *b, mp_int *c); +int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c); +int mp_karatsuba_sqr(mp_int *a, mp_int *b); +int mp_toom_sqr(mp_int *a, mp_int *b); +int fast_mp_invmod(mp_int *a, mp_int *b, mp_int *c); +int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c); +int fast_mp_montgomery_reduce(mp_int *x, mp_int *n, mp_digit rho); +int mp_exptmod_fast(mp_int *G, mp_int *X, mp_int *P, mp_int *Y, int redmode); +int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode); +void bn_reverse(unsigned char *s, int len); + +extern const char *mp_s_rmap; + +/* Fancy macro to set an MPI from another type. + * There are several things assumed: + * x is the counter and unsigned + * a is the pointer to the MPI + * b is the original value that should be set in the MPI. + */ +#define MP_SET_XLONG(func_name, type) \ +int func_name (mp_int * a, type b) \ +{ \ + unsigned int x; \ + int res; \ + \ + mp_zero (a); \ + \ + /* set four bits at a time */ \ + for (x = 0; x < (sizeof(type) * 2u); x++) { \ + /* shift the number up four bits */ \ + if ((res = mp_mul_2d (a, 4, a)) != MP_OKAY) { \ + return res; \ + } \ + \ + /* OR in the top four bits of the source */ \ + a->dp[0] |= (b >> ((sizeof(type) * 8u) - 4u)) & 15u; \ + \ + /* shift the source up to the next four bits */ \ + b <<= 4; \ + \ + /* ensure that digits are not clamped off */ \ + a->used += 1; \ + } \ + mp_clamp (a); \ + return MP_OKAY; \ +} + +#ifdef __cplusplus + } +#endif + +#endif + + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ -- cgit v0.12 From 6b63d42886b68cbfdbd19c6fee04b836320a646d Mon Sep 17 00:00:00 2001 From: venkat Date: Wed, 16 Mar 2016 08:58:27 +0000 Subject: Update tzdata to 2016b from ietf.org --- library/tzdata/America/Cayman | 177 +-------------------- library/tzdata/America/Metlakatla | 169 ++++++++++++++++++++ library/tzdata/America/Port-au-Prince | 168 -------------------- library/tzdata/America/Santa_Isabel | 285 +--------------------------------- library/tzdata/Asia/Barnaul | 71 +++++++++ library/tzdata/Asia/Chita | 1 + library/tzdata/Asia/Gaza | 168 ++++++++++---------- library/tzdata/Asia/Hebron | 168 ++++++++++---------- library/tzdata/Asia/Karachi | 4 +- library/tzdata/Asia/Sakhalin | 1 + library/tzdata/Asia/Tehran | 124 +++++++++++++++ library/tzdata/Europe/Astrakhan | 70 +++++++++ library/tzdata/Europe/Chisinau | 6 +- library/tzdata/Europe/Samara | 2 +- library/tzdata/Europe/Ulyanovsk | 73 +++++++++ 15 files changed, 689 insertions(+), 798 deletions(-) create mode 100644 library/tzdata/Asia/Barnaul create mode 100644 library/tzdata/Europe/Astrakhan create mode 100644 library/tzdata/Europe/Ulyanovsk diff --git a/library/tzdata/America/Cayman b/library/tzdata/America/Cayman index 5231ca9..92ce5e2 100644 --- a/library/tzdata/America/Cayman +++ b/library/tzdata/America/Cayman @@ -1,176 +1,5 @@ # created by tools/tclZIC.tcl - do not edit - -set TZData(:America/Cayman) { - {-9223372036854775808 -19532 0 LMT} - {-2524502068 -18431 0 KMT} - {-1827687169 -18000 0 EST} - {1451624400 -18000 0 EST} - {1457852400 -14400 1 EDT} - {1478412000 -18000 0 EST} - {1489302000 -14400 1 EDT} - {1509861600 -18000 0 EST} - {1520751600 -14400 1 EDT} - {1541311200 -18000 0 EST} - {1552201200 -14400 1 EDT} - {1572760800 -18000 0 EST} - {1583650800 -14400 1 EDT} - {1604210400 -18000 0 EST} - {1615705200 -14400 1 EDT} - {1636264800 -18000 0 EST} - {1647154800 -14400 1 EDT} - {1667714400 -18000 0 EST} - {1678604400 -14400 1 EDT} - {1699164000 -18000 0 EST} - {1710054000 -14400 1 EDT} - {1730613600 -18000 0 EST} - {1741503600 -14400 1 EDT} - {1762063200 -18000 0 EST} - {1772953200 -14400 1 EDT} - {1793512800 -18000 0 EST} - {1805007600 -14400 1 EDT} - {1825567200 -18000 0 EST} - {1836457200 -14400 1 EDT} - {1857016800 -18000 0 EST} - {1867906800 -14400 1 EDT} - {1888466400 -18000 0 EST} - {1899356400 -14400 1 EDT} - {1919916000 -18000 0 EST} - {1930806000 -14400 1 EDT} - {1951365600 -18000 0 EST} - {1962860400 -14400 1 EDT} - {1983420000 -18000 0 EST} - {1994310000 -14400 1 EDT} - {2014869600 -18000 0 EST} - {2025759600 -14400 1 EDT} - {2046319200 -18000 0 EST} - {2057209200 -14400 1 EDT} - {2077768800 -18000 0 EST} - {2088658800 -14400 1 EDT} - {2109218400 -18000 0 EST} - {2120108400 -14400 1 EDT} - {2140668000 -18000 0 EST} - {2152162800 -14400 1 EDT} - {2172722400 -18000 0 EST} - {2183612400 -14400 1 EDT} - {2204172000 -18000 0 EST} - {2215062000 -14400 1 EDT} - {2235621600 -18000 0 EST} - {2246511600 -14400 1 EDT} - {2267071200 -18000 0 EST} - {2277961200 -14400 1 EDT} - {2298520800 -18000 0 EST} - {2309410800 -14400 1 EDT} - {2329970400 -18000 0 EST} - {2341465200 -14400 1 EDT} - {2362024800 -18000 0 EST} - {2372914800 -14400 1 EDT} - {2393474400 -18000 0 EST} - {2404364400 -14400 1 EDT} - {2424924000 -18000 0 EST} - {2435814000 -14400 1 EDT} - {2456373600 -18000 0 EST} - {2467263600 -14400 1 EDT} - {2487823200 -18000 0 EST} - {2499318000 -14400 1 EDT} - {2519877600 -18000 0 EST} - {2530767600 -14400 1 EDT} - {2551327200 -18000 0 EST} - {2562217200 -14400 1 EDT} - {2582776800 -18000 0 EST} - {2593666800 -14400 1 EDT} - {2614226400 -18000 0 EST} - {2625116400 -14400 1 EDT} - {2645676000 -18000 0 EST} - {2656566000 -14400 1 EDT} - {2677125600 -18000 0 EST} - {2688620400 -14400 1 EDT} - {2709180000 -18000 0 EST} - {2720070000 -14400 1 EDT} - {2740629600 -18000 0 EST} - {2751519600 -14400 1 EDT} - {2772079200 -18000 0 EST} - {2782969200 -14400 1 EDT} - {2803528800 -18000 0 EST} - {2814418800 -14400 1 EDT} - {2834978400 -18000 0 EST} - {2846473200 -14400 1 EDT} - {2867032800 -18000 0 EST} - {2877922800 -14400 1 EDT} - {2898482400 -18000 0 EST} - {2909372400 -14400 1 EDT} - {2929932000 -18000 0 EST} - {2940822000 -14400 1 EDT} - {2961381600 -18000 0 EST} - {2972271600 -14400 1 EDT} - {2992831200 -18000 0 EST} - {3003721200 -14400 1 EDT} - {3024280800 -18000 0 EST} - {3035775600 -14400 1 EDT} - {3056335200 -18000 0 EST} - {3067225200 -14400 1 EDT} - {3087784800 -18000 0 EST} - {3098674800 -14400 1 EDT} - {3119234400 -18000 0 EST} - {3130124400 -14400 1 EDT} - {3150684000 -18000 0 EST} - {3161574000 -14400 1 EDT} - {3182133600 -18000 0 EST} - {3193023600 -14400 1 EDT} - {3213583200 -18000 0 EST} - {3225078000 -14400 1 EDT} - {3245637600 -18000 0 EST} - {3256527600 -14400 1 EDT} - {3277087200 -18000 0 EST} - {3287977200 -14400 1 EDT} - {3308536800 -18000 0 EST} - {3319426800 -14400 1 EDT} - {3339986400 -18000 0 EST} - {3350876400 -14400 1 EDT} - {3371436000 -18000 0 EST} - {3382930800 -14400 1 EDT} - {3403490400 -18000 0 EST} - {3414380400 -14400 1 EDT} - {3434940000 -18000 0 EST} - {3445830000 -14400 1 EDT} - {3466389600 -18000 0 EST} - {3477279600 -14400 1 EDT} - {3497839200 -18000 0 EST} - {3508729200 -14400 1 EDT} - {3529288800 -18000 0 EST} - {3540178800 -14400 1 EDT} - {3560738400 -18000 0 EST} - {3572233200 -14400 1 EDT} - {3592792800 -18000 0 EST} - {3603682800 -14400 1 EDT} - {3624242400 -18000 0 EST} - {3635132400 -14400 1 EDT} - {3655692000 -18000 0 EST} - {3666582000 -14400 1 EDT} - {3687141600 -18000 0 EST} - {3698031600 -14400 1 EDT} - {3718591200 -18000 0 EST} - {3730086000 -14400 1 EDT} - {3750645600 -18000 0 EST} - {3761535600 -14400 1 EDT} - {3782095200 -18000 0 EST} - {3792985200 -14400 1 EDT} - {3813544800 -18000 0 EST} - {3824434800 -14400 1 EDT} - {3844994400 -18000 0 EST} - {3855884400 -14400 1 EDT} - {3876444000 -18000 0 EST} - {3887334000 -14400 1 EDT} - {3907893600 -18000 0 EST} - {3919388400 -14400 1 EDT} - {3939948000 -18000 0 EST} - {3950838000 -14400 1 EDT} - {3971397600 -18000 0 EST} - {3982287600 -14400 1 EDT} - {4002847200 -18000 0 EST} - {4013737200 -14400 1 EDT} - {4034296800 -18000 0 EST} - {4045186800 -14400 1 EDT} - {4065746400 -18000 0 EST} - {4076636400 -14400 1 EDT} - {4097196000 -18000 0 EST} +if {![info exists TZData(America/Panama)]} { + LoadTimeZoneFile America/Panama } +set TZData(:America/Cayman) $TZData(:America/Panama) diff --git a/library/tzdata/America/Metlakatla b/library/tzdata/America/Metlakatla index 8ea80fa..407948d 100644 --- a/library/tzdata/America/Metlakatla +++ b/library/tzdata/America/Metlakatla @@ -40,4 +40,173 @@ set TZData(:America/Metlakatla) { {404902800 -28800 0 PST} {420026400 -25200 1 PDT} {436356000 -28800 0 PST} + {1446372000 -32400 0 AKST} + {1457866800 -28800 1 AKDT} + {1478426400 -32400 0 AKST} + {1489316400 -28800 1 AKDT} + {1509876000 -32400 0 AKST} + {1520766000 -28800 1 AKDT} + {1541325600 -32400 0 AKST} + {1552215600 -28800 1 AKDT} + {1572775200 -32400 0 AKST} + {1583665200 -28800 1 AKDT} + {1604224800 -32400 0 AKST} + {1615719600 -28800 1 AKDT} + {1636279200 -32400 0 AKST} + {1647169200 -28800 1 AKDT} + {1667728800 -32400 0 AKST} + {1678618800 -28800 1 AKDT} + {1699178400 -32400 0 AKST} + {1710068400 -28800 1 AKDT} + {1730628000 -32400 0 AKST} + {1741518000 -28800 1 AKDT} + {1762077600 -32400 0 AKST} + {1772967600 -28800 1 AKDT} + {1793527200 -32400 0 AKST} + {1805022000 -28800 1 AKDT} + {1825581600 -32400 0 AKST} + {1836471600 -28800 1 AKDT} + {1857031200 -32400 0 AKST} + {1867921200 -28800 1 AKDT} + {1888480800 -32400 0 AKST} + {1899370800 -28800 1 AKDT} + {1919930400 -32400 0 AKST} + {1930820400 -28800 1 AKDT} + {1951380000 -32400 0 AKST} + {1962874800 -28800 1 AKDT} + {1983434400 -32400 0 AKST} + {1994324400 -28800 1 AKDT} + {2014884000 -32400 0 AKST} + {2025774000 -28800 1 AKDT} + {2046333600 -32400 0 AKST} + {2057223600 -28800 1 AKDT} + {2077783200 -32400 0 AKST} + {2088673200 -28800 1 AKDT} + {2109232800 -32400 0 AKST} + {2120122800 -28800 1 AKDT} + {2140682400 -32400 0 AKST} + {2152177200 -28800 1 AKDT} + {2172736800 -32400 0 AKST} + {2183626800 -28800 1 AKDT} + {2204186400 -32400 0 AKST} + {2215076400 -28800 1 AKDT} + {2235636000 -32400 0 AKST} + {2246526000 -28800 1 AKDT} + {2267085600 -32400 0 AKST} + {2277975600 -28800 1 AKDT} + {2298535200 -32400 0 AKST} + {2309425200 -28800 1 AKDT} + {2329984800 -32400 0 AKST} + {2341479600 -28800 1 AKDT} + {2362039200 -32400 0 AKST} + {2372929200 -28800 1 AKDT} + {2393488800 -32400 0 AKST} + {2404378800 -28800 1 AKDT} + {2424938400 -32400 0 AKST} + {2435828400 -28800 1 AKDT} + {2456388000 -32400 0 AKST} + {2467278000 -28800 1 AKDT} + {2487837600 -32400 0 AKST} + {2499332400 -28800 1 AKDT} + {2519892000 -32400 0 AKST} + {2530782000 -28800 1 AKDT} + {2551341600 -32400 0 AKST} + {2562231600 -28800 1 AKDT} + {2582791200 -32400 0 AKST} + {2593681200 -28800 1 AKDT} + {2614240800 -32400 0 AKST} + {2625130800 -28800 1 AKDT} + {2645690400 -32400 0 AKST} + {2656580400 -28800 1 AKDT} + {2677140000 -32400 0 AKST} + {2688634800 -28800 1 AKDT} + {2709194400 -32400 0 AKST} + {2720084400 -28800 1 AKDT} + {2740644000 -32400 0 AKST} + {2751534000 -28800 1 AKDT} + {2772093600 -32400 0 AKST} + {2782983600 -28800 1 AKDT} + {2803543200 -32400 0 AKST} + {2814433200 -28800 1 AKDT} + {2834992800 -32400 0 AKST} + {2846487600 -28800 1 AKDT} + {2867047200 -32400 0 AKST} + {2877937200 -28800 1 AKDT} + {2898496800 -32400 0 AKST} + {2909386800 -28800 1 AKDT} + {2929946400 -32400 0 AKST} + {2940836400 -28800 1 AKDT} + {2961396000 -32400 0 AKST} + {2972286000 -28800 1 AKDT} + {2992845600 -32400 0 AKST} + {3003735600 -28800 1 AKDT} + {3024295200 -32400 0 AKST} + {3035790000 -28800 1 AKDT} + {3056349600 -32400 0 AKST} + {3067239600 -28800 1 AKDT} + {3087799200 -32400 0 AKST} + {3098689200 -28800 1 AKDT} + {3119248800 -32400 0 AKST} + {3130138800 -28800 1 AKDT} + {3150698400 -32400 0 AKST} + {3161588400 -28800 1 AKDT} + {3182148000 -32400 0 AKST} + {3193038000 -28800 1 AKDT} + {3213597600 -32400 0 AKST} + {3225092400 -28800 1 AKDT} + {3245652000 -32400 0 AKST} + {3256542000 -28800 1 AKDT} + {3277101600 -32400 0 AKST} + {3287991600 -28800 1 AKDT} + {3308551200 -32400 0 AKST} + {3319441200 -28800 1 AKDT} + {3340000800 -32400 0 AKST} + {3350890800 -28800 1 AKDT} + {3371450400 -32400 0 AKST} + {3382945200 -28800 1 AKDT} + {3403504800 -32400 0 AKST} + {3414394800 -28800 1 AKDT} + {3434954400 -32400 0 AKST} + {3445844400 -28800 1 AKDT} + {3466404000 -32400 0 AKST} + {3477294000 -28800 1 AKDT} + {3497853600 -32400 0 AKST} + {3508743600 -28800 1 AKDT} + {3529303200 -32400 0 AKST} + {3540193200 -28800 1 AKDT} + {3560752800 -32400 0 AKST} + {3572247600 -28800 1 AKDT} + {3592807200 -32400 0 AKST} + {3603697200 -28800 1 AKDT} + {3624256800 -32400 0 AKST} + {3635146800 -28800 1 AKDT} + {3655706400 -32400 0 AKST} + {3666596400 -28800 1 AKDT} + {3687156000 -32400 0 AKST} + {3698046000 -28800 1 AKDT} + {3718605600 -32400 0 AKST} + {3730100400 -28800 1 AKDT} + {3750660000 -32400 0 AKST} + {3761550000 -28800 1 AKDT} + {3782109600 -32400 0 AKST} + {3792999600 -28800 1 AKDT} + {3813559200 -32400 0 AKST} + {3824449200 -28800 1 AKDT} + {3845008800 -32400 0 AKST} + {3855898800 -28800 1 AKDT} + {3876458400 -32400 0 AKST} + {3887348400 -28800 1 AKDT} + {3907908000 -32400 0 AKST} + {3919402800 -28800 1 AKDT} + {3939962400 -32400 0 AKST} + {3950852400 -28800 1 AKDT} + {3971412000 -32400 0 AKST} + {3982302000 -28800 1 AKDT} + {4002861600 -32400 0 AKST} + {4013751600 -28800 1 AKDT} + {4034311200 -32400 0 AKST} + {4045201200 -28800 1 AKDT} + {4065760800 -32400 0 AKST} + {4076650800 -28800 1 AKDT} + {4097210400 -32400 0 AKST} } diff --git a/library/tzdata/America/Port-au-Prince b/library/tzdata/America/Port-au-Prince index f1d7fc4..b8b60d6 100644 --- a/library/tzdata/America/Port-au-Prince +++ b/library/tzdata/America/Port-au-Prince @@ -46,172 +46,4 @@ set TZData(:America/Port-au-Prince) { {1414908000 -18000 0 EST} {1425798000 -14400 1 EDT} {1446357600 -18000 0 EST} - {1457852400 -14400 1 EDT} - {1478412000 -18000 0 EST} - {1489302000 -14400 1 EDT} - {1509861600 -18000 0 EST} - {1520751600 -14400 1 EDT} - {1541311200 -18000 0 EST} - {1552201200 -14400 1 EDT} - {1572760800 -18000 0 EST} - {1583650800 -14400 1 EDT} - {1604210400 -18000 0 EST} - {1615705200 -14400 1 EDT} - {1636264800 -18000 0 EST} - {1647154800 -14400 1 EDT} - {1667714400 -18000 0 EST} - {1678604400 -14400 1 EDT} - {1699164000 -18000 0 EST} - {1710054000 -14400 1 EDT} - {1730613600 -18000 0 EST} - {1741503600 -14400 1 EDT} - {1762063200 -18000 0 EST} - {1772953200 -14400 1 EDT} - {1793512800 -18000 0 EST} - {1805007600 -14400 1 EDT} - {1825567200 -18000 0 EST} - {1836457200 -14400 1 EDT} - {1857016800 -18000 0 EST} - {1867906800 -14400 1 EDT} - {1888466400 -18000 0 EST} - {1899356400 -14400 1 EDT} - {1919916000 -18000 0 EST} - {1930806000 -14400 1 EDT} - {1951365600 -18000 0 EST} - {1962860400 -14400 1 EDT} - {1983420000 -18000 0 EST} - {1994310000 -14400 1 EDT} - {2014869600 -18000 0 EST} - {2025759600 -14400 1 EDT} - {2046319200 -18000 0 EST} - {2057209200 -14400 1 EDT} - {2077768800 -18000 0 EST} - {2088658800 -14400 1 EDT} - {2109218400 -18000 0 EST} - {2120108400 -14400 1 EDT} - {2140668000 -18000 0 EST} - {2152162800 -14400 1 EDT} - {2172722400 -18000 0 EST} - {2183612400 -14400 1 EDT} - {2204172000 -18000 0 EST} - {2215062000 -14400 1 EDT} - {2235621600 -18000 0 EST} - {2246511600 -14400 1 EDT} - {2267071200 -18000 0 EST} - {2277961200 -14400 1 EDT} - {2298520800 -18000 0 EST} - {2309410800 -14400 1 EDT} - {2329970400 -18000 0 EST} - {2341465200 -14400 1 EDT} - {2362024800 -18000 0 EST} - {2372914800 -14400 1 EDT} - {2393474400 -18000 0 EST} - {2404364400 -14400 1 EDT} - {2424924000 -18000 0 EST} - {2435814000 -14400 1 EDT} - {2456373600 -18000 0 EST} - {2467263600 -14400 1 EDT} - {2487823200 -18000 0 EST} - {2499318000 -14400 1 EDT} - {2519877600 -18000 0 EST} - {2530767600 -14400 1 EDT} - {2551327200 -18000 0 EST} - {2562217200 -14400 1 EDT} - {2582776800 -18000 0 EST} - {2593666800 -14400 1 EDT} - {2614226400 -18000 0 EST} - {2625116400 -14400 1 EDT} - {2645676000 -18000 0 EST} - {2656566000 -14400 1 EDT} - {2677125600 -18000 0 EST} - {2688620400 -14400 1 EDT} - {2709180000 -18000 0 EST} - {2720070000 -14400 1 EDT} - {2740629600 -18000 0 EST} - {2751519600 -14400 1 EDT} - {2772079200 -18000 0 EST} - {2782969200 -14400 1 EDT} - {2803528800 -18000 0 EST} - {2814418800 -14400 1 EDT} - {2834978400 -18000 0 EST} - {2846473200 -14400 1 EDT} - {2867032800 -18000 0 EST} - {2877922800 -14400 1 EDT} - {2898482400 -18000 0 EST} - {2909372400 -14400 1 EDT} - {2929932000 -18000 0 EST} - {2940822000 -14400 1 EDT} - {2961381600 -18000 0 EST} - {2972271600 -14400 1 EDT} - {2992831200 -18000 0 EST} - {3003721200 -14400 1 EDT} - {3024280800 -18000 0 EST} - {3035775600 -14400 1 EDT} - {3056335200 -18000 0 EST} - {3067225200 -14400 1 EDT} - {3087784800 -18000 0 EST} - {3098674800 -14400 1 EDT} - {3119234400 -18000 0 EST} - {3130124400 -14400 1 EDT} - {3150684000 -18000 0 EST} - {3161574000 -14400 1 EDT} - {3182133600 -18000 0 EST} - {3193023600 -14400 1 EDT} - {3213583200 -18000 0 EST} - {3225078000 -14400 1 EDT} - {3245637600 -18000 0 EST} - {3256527600 -14400 1 EDT} - {3277087200 -18000 0 EST} - {3287977200 -14400 1 EDT} - {3308536800 -18000 0 EST} - {3319426800 -14400 1 EDT} - {3339986400 -18000 0 EST} - {3350876400 -14400 1 EDT} - {3371436000 -18000 0 EST} - {3382930800 -14400 1 EDT} - {3403490400 -18000 0 EST} - {3414380400 -14400 1 EDT} - {3434940000 -18000 0 EST} - {3445830000 -14400 1 EDT} - {3466389600 -18000 0 EST} - {3477279600 -14400 1 EDT} - {3497839200 -18000 0 EST} - {3508729200 -14400 1 EDT} - {3529288800 -18000 0 EST} - {3540178800 -14400 1 EDT} - {3560738400 -18000 0 EST} - {3572233200 -14400 1 EDT} - {3592792800 -18000 0 EST} - {3603682800 -14400 1 EDT} - {3624242400 -18000 0 EST} - {3635132400 -14400 1 EDT} - {3655692000 -18000 0 EST} - {3666582000 -14400 1 EDT} - {3687141600 -18000 0 EST} - {3698031600 -14400 1 EDT} - {3718591200 -18000 0 EST} - {3730086000 -14400 1 EDT} - {3750645600 -18000 0 EST} - {3761535600 -14400 1 EDT} - {3782095200 -18000 0 EST} - {3792985200 -14400 1 EDT} - {3813544800 -18000 0 EST} - {3824434800 -14400 1 EDT} - {3844994400 -18000 0 EST} - {3855884400 -14400 1 EDT} - {3876444000 -18000 0 EST} - {3887334000 -14400 1 EDT} - {3907893600 -18000 0 EST} - {3919388400 -14400 1 EDT} - {3939948000 -18000 0 EST} - {3950838000 -14400 1 EDT} - {3971397600 -18000 0 EST} - {3982287600 -14400 1 EDT} - {4002847200 -18000 0 EST} - {4013737200 -14400 1 EDT} - {4034296800 -18000 0 EST} - {4045186800 -14400 1 EDT} - {4065746400 -18000 0 EST} - {4076636400 -14400 1 EDT} - {4097196000 -18000 0 EST} } diff --git a/library/tzdata/America/Santa_Isabel b/library/tzdata/America/Santa_Isabel index 87cb5a8..a3a3b4f 100644 --- a/library/tzdata/America/Santa_Isabel +++ b/library/tzdata/America/Santa_Isabel @@ -1,284 +1,5 @@ # created by tools/tclZIC.tcl - do not edit - -set TZData(:America/Santa_Isabel) { - {-9223372036854775808 -27568 0 LMT} - {-1514736000 -25200 0 MST} - {-1451667600 -28800 0 PST} - {-1343062800 -25200 0 MST} - {-1234803600 -28800 0 PST} - {-1222963200 -25200 1 PDT} - {-1207242000 -28800 0 PST} - {-873820800 -25200 1 PWT} - {-769395600 -25200 1 PPT} - {-761677200 -28800 0 PST} - {-686073600 -25200 1 PDT} - {-661539600 -28800 0 PST} - {-504892800 -28800 0 PST} - {-495036000 -25200 1 PDT} - {-481734000 -28800 0 PST} - {-463586400 -25200 1 PDT} - {-450284400 -28800 0 PST} - {-431532000 -25200 1 PDT} - {-418230000 -28800 0 PST} - {-400082400 -25200 1 PDT} - {-386780400 -28800 0 PST} - {-368632800 -25200 1 PDT} - {-355330800 -28800 0 PST} - {-337183200 -25200 1 PDT} - {-323881200 -28800 0 PST} - {-305733600 -25200 1 PDT} - {-292431600 -28800 0 PST} - {-283968000 -28800 0 PST} - {189331200 -28800 0 PST} - {199274400 -25200 1 PDT} - {215600400 -28800 0 PST} - {230724000 -25200 1 PDT} - {247050000 -28800 0 PST} - {262778400 -25200 1 PDT} - {278499600 -28800 0 PST} - {294228000 -25200 1 PDT} - {309949200 -28800 0 PST} - {325677600 -25200 1 PDT} - {341398800 -28800 0 PST} - {357127200 -25200 1 PDT} - {372848400 -28800 0 PST} - {388576800 -25200 1 PDT} - {404902800 -28800 0 PST} - {420026400 -25200 1 PDT} - {436352400 -28800 0 PST} - {452080800 -25200 1 PDT} - {467802000 -28800 0 PST} - {483530400 -25200 1 PDT} - {499251600 -28800 0 PST} - {514980000 -25200 1 PDT} - {530701200 -28800 0 PST} - {544615200 -25200 1 PDT} - {562150800 -28800 0 PST} - {576064800 -25200 1 PDT} - {594205200 -28800 0 PST} - {607514400 -25200 1 PDT} - {625654800 -28800 0 PST} - {638964000 -25200 1 PDT} - {657104400 -28800 0 PST} - {671018400 -25200 1 PDT} - {688554000 -28800 0 PST} - {702468000 -25200 1 PDT} - {720003600 -28800 0 PST} - {733917600 -25200 1 PDT} - {752058000 -28800 0 PST} - {765367200 -25200 1 PDT} - {783507600 -28800 0 PST} - {796816800 -25200 1 PDT} - {814957200 -28800 0 PST} - {820483200 -28800 0 PST} - {828871200 -25200 1 PDT} - {846406800 -28800 0 PST} - {860320800 -25200 1 PDT} - {877856400 -28800 0 PST} - {891770400 -25200 1 PDT} - {909306000 -28800 0 PST} - {923220000 -25200 1 PDT} - {941360400 -28800 0 PST} - {954669600 -25200 1 PDT} - {972810000 -28800 0 PST} - {978336000 -28800 0 PST} - {986119200 -25200 1 PDT} - {1004259600 -28800 0 PST} - {1014192000 -28800 0 PST} - {1018173600 -25200 1 PDT} - {1035709200 -28800 0 PST} - {1049623200 -25200 1 PDT} - {1067158800 -28800 0 PST} - {1081072800 -25200 1 PDT} - {1099213200 -28800 0 PST} - {1112522400 -25200 1 PDT} - {1130662800 -28800 0 PST} - {1143972000 -25200 1 PDT} - {1162112400 -28800 0 PST} - {1175421600 -25200 1 PDT} - {1193562000 -28800 0 PST} - {1207476000 -25200 1 PDT} - {1225011600 -28800 0 PST} - {1238925600 -25200 1 PDT} - {1256461200 -28800 0 PST} - {1270375200 -25200 1 PDT} - {1288515600 -28800 0 PST} - {1301824800 -25200 1 PDT} - {1319965200 -28800 0 PST} - {1333274400 -25200 1 PDT} - {1351414800 -28800 0 PST} - {1365328800 -25200 1 PDT} - {1382864400 -28800 0 PST} - {1396778400 -25200 1 PDT} - {1414314000 -28800 0 PST} - {1428228000 -25200 1 PDT} - {1445763600 -28800 0 PST} - {1459677600 -25200 1 PDT} - {1477818000 -28800 0 PST} - {1491127200 -25200 1 PDT} - {1509267600 -28800 0 PST} - {1522576800 -25200 1 PDT} - {1540717200 -28800 0 PST} - {1554631200 -25200 1 PDT} - {1572166800 -28800 0 PST} - {1586080800 -25200 1 PDT} - {1603616400 -28800 0 PST} - {1617530400 -25200 1 PDT} - {1635670800 -28800 0 PST} - {1648980000 -25200 1 PDT} - {1667120400 -28800 0 PST} - {1680429600 -25200 1 PDT} - {1698570000 -28800 0 PST} - {1712484000 -25200 1 PDT} - {1730019600 -28800 0 PST} - {1743933600 -25200 1 PDT} - {1761469200 -28800 0 PST} - {1775383200 -25200 1 PDT} - {1792918800 -28800 0 PST} - {1806832800 -25200 1 PDT} - {1824973200 -28800 0 PST} - {1838282400 -25200 1 PDT} - {1856422800 -28800 0 PST} - {1869732000 -25200 1 PDT} - {1887872400 -28800 0 PST} - {1901786400 -25200 1 PDT} - {1919322000 -28800 0 PST} - {1933236000 -25200 1 PDT} - {1950771600 -28800 0 PST} - {1964685600 -25200 1 PDT} - {1982826000 -28800 0 PST} - {1996135200 -25200 1 PDT} - {2014275600 -28800 0 PST} - {2027584800 -25200 1 PDT} - {2045725200 -28800 0 PST} - {2059034400 -25200 1 PDT} - {2077174800 -28800 0 PST} - {2091088800 -25200 1 PDT} - {2108624400 -28800 0 PST} - {2122538400 -25200 1 PDT} - {2140074000 -28800 0 PST} - {2153988000 -25200 1 PDT} - {2172128400 -28800 0 PST} - {2185437600 -25200 1 PDT} - {2203578000 -28800 0 PST} - {2216887200 -25200 1 PDT} - {2235027600 -28800 0 PST} - {2248941600 -25200 1 PDT} - {2266477200 -28800 0 PST} - {2280391200 -25200 1 PDT} - {2297926800 -28800 0 PST} - {2311840800 -25200 1 PDT} - {2329376400 -28800 0 PST} - {2343290400 -25200 1 PDT} - {2361430800 -28800 0 PST} - {2374740000 -25200 1 PDT} - {2392880400 -28800 0 PST} - {2406189600 -25200 1 PDT} - {2424330000 -28800 0 PST} - {2438244000 -25200 1 PDT} - {2455779600 -28800 0 PST} - {2469693600 -25200 1 PDT} - {2487229200 -28800 0 PST} - {2501143200 -25200 1 PDT} - {2519283600 -28800 0 PST} - {2532592800 -25200 1 PDT} - {2550733200 -28800 0 PST} - {2564042400 -25200 1 PDT} - {2582182800 -28800 0 PST} - {2596096800 -25200 1 PDT} - {2613632400 -28800 0 PST} - {2627546400 -25200 1 PDT} - {2645082000 -28800 0 PST} - {2658996000 -25200 1 PDT} - {2676531600 -28800 0 PST} - {2690445600 -25200 1 PDT} - {2708586000 -28800 0 PST} - {2721895200 -25200 1 PDT} - {2740035600 -28800 0 PST} - {2753344800 -25200 1 PDT} - {2771485200 -28800 0 PST} - {2785399200 -25200 1 PDT} - {2802934800 -28800 0 PST} - {2816848800 -25200 1 PDT} - {2834384400 -28800 0 PST} - {2848298400 -25200 1 PDT} - {2866438800 -28800 0 PST} - {2879748000 -25200 1 PDT} - {2897888400 -28800 0 PST} - {2911197600 -25200 1 PDT} - {2929338000 -28800 0 PST} - {2942647200 -25200 1 PDT} - {2960787600 -28800 0 PST} - {2974701600 -25200 1 PDT} - {2992237200 -28800 0 PST} - {3006151200 -25200 1 PDT} - {3023686800 -28800 0 PST} - {3037600800 -25200 1 PDT} - {3055741200 -28800 0 PST} - {3069050400 -25200 1 PDT} - {3087190800 -28800 0 PST} - {3100500000 -25200 1 PDT} - {3118640400 -28800 0 PST} - {3132554400 -25200 1 PDT} - {3150090000 -28800 0 PST} - {3164004000 -25200 1 PDT} - {3181539600 -28800 0 PST} - {3195453600 -25200 1 PDT} - {3212989200 -28800 0 PST} - {3226903200 -25200 1 PDT} - {3245043600 -28800 0 PST} - {3258352800 -25200 1 PDT} - {3276493200 -28800 0 PST} - {3289802400 -25200 1 PDT} - {3307942800 -28800 0 PST} - {3321856800 -25200 1 PDT} - {3339392400 -28800 0 PST} - {3353306400 -25200 1 PDT} - {3370842000 -28800 0 PST} - {3384756000 -25200 1 PDT} - {3402896400 -28800 0 PST} - {3416205600 -25200 1 PDT} - {3434346000 -28800 0 PST} - {3447655200 -25200 1 PDT} - {3465795600 -28800 0 PST} - {3479709600 -25200 1 PDT} - {3497245200 -28800 0 PST} - {3511159200 -25200 1 PDT} - {3528694800 -28800 0 PST} - {3542608800 -25200 1 PDT} - {3560144400 -28800 0 PST} - {3574058400 -25200 1 PDT} - {3592198800 -28800 0 PST} - {3605508000 -25200 1 PDT} - {3623648400 -28800 0 PST} - {3636957600 -25200 1 PDT} - {3655098000 -28800 0 PST} - {3669012000 -25200 1 PDT} - {3686547600 -28800 0 PST} - {3700461600 -25200 1 PDT} - {3717997200 -28800 0 PST} - {3731911200 -25200 1 PDT} - {3750051600 -28800 0 PST} - {3763360800 -25200 1 PDT} - {3781501200 -28800 0 PST} - {3794810400 -25200 1 PDT} - {3812950800 -28800 0 PST} - {3826260000 -25200 1 PDT} - {3844400400 -28800 0 PST} - {3858314400 -25200 1 PDT} - {3875850000 -28800 0 PST} - {3889764000 -25200 1 PDT} - {3907299600 -28800 0 PST} - {3921213600 -25200 1 PDT} - {3939354000 -28800 0 PST} - {3952663200 -25200 1 PDT} - {3970803600 -28800 0 PST} - {3984112800 -25200 1 PDT} - {4002253200 -28800 0 PST} - {4016167200 -25200 1 PDT} - {4033702800 -28800 0 PST} - {4047616800 -25200 1 PDT} - {4065152400 -28800 0 PST} - {4079066400 -25200 1 PDT} - {4096602000 -28800 0 PST} +if {![info exists TZData(America/Tijuana)]} { + LoadTimeZoneFile America/Tijuana } +set TZData(:America/Santa_Isabel) $TZData(:America/Tijuana) diff --git a/library/tzdata/Asia/Barnaul b/library/tzdata/Asia/Barnaul new file mode 100644 index 0000000..8072e34 --- /dev/null +++ b/library/tzdata/Asia/Barnaul @@ -0,0 +1,71 @@ +# created by tools/tclZIC.tcl - do not edit + +set TZData(:Asia/Barnaul) { + {-9223372036854775808 20100 0 LMT} + {-1579844100 21600 0 +06} + {-1247551200 25200 0 +08} + {354906000 28800 1 +08} + {370713600 25200 0 +07} + {386442000 28800 1 +08} + {402249600 25200 0 +07} + {417978000 28800 1 +08} + {433785600 25200 0 +07} + {449600400 28800 1 +08} + {465332400 25200 0 +07} + {481057200 28800 1 +08} + {496782000 25200 0 +07} + {512506800 28800 1 +08} + {528231600 25200 0 +07} + {543956400 28800 1 +08} + {559681200 25200 0 +07} + {575406000 28800 1 +08} + {591130800 25200 0 +07} + {606855600 28800 1 +08} + {622580400 25200 0 +07} + {638305200 28800 1 +08} + {654634800 25200 0 +07} + {670359600 28800 1 +08} + {686084400 25200 0 +07} + {701798400 28800 1 +08} + {717519600 25200 0 +07} + {733258800 28800 1 +08} + {748983600 25200 0 +07} + {764708400 28800 1 +08} + {780433200 25200 0 +07} + {796158000 28800 1 +08} + {801594000 25200 0 +07} + {811886400 21600 0 +06} + {828216000 25200 1 +07} + {846360000 21600 0 +06} + {859665600 25200 1 +07} + {877809600 21600 0 +06} + {891115200 25200 1 +07} + {909259200 21600 0 +06} + {922564800 25200 1 +07} + {941313600 21600 0 +06} + {954014400 25200 1 +07} + {972763200 21600 0 +06} + {985464000 25200 1 +07} + {1004212800 21600 0 +06} + {1017518400 25200 1 +07} + {1035662400 21600 0 +06} + {1048968000 25200 1 +07} + {1067112000 21600 0 +06} + {1080417600 25200 1 +07} + {1099166400 21600 0 +06} + {1111867200 25200 1 +07} + {1130616000 21600 0 +06} + {1143316800 25200 1 +07} + {1162065600 21600 0 +06} + {1174766400 25200 1 +07} + {1193515200 21600 0 +06} + {1206820800 25200 1 +07} + {1224964800 21600 0 +06} + {1238270400 25200 1 +07} + {1256414400 21600 0 +06} + {1269720000 25200 1 +07} + {1288468800 21600 0 +06} + {1301169600 25200 0 +07} + {1414263600 21600 0 +06} + {1459022400 25200 0 +07} +} diff --git a/library/tzdata/Asia/Chita b/library/tzdata/Asia/Chita index eabce7f..6aef523 100644 --- a/library/tzdata/Asia/Chita +++ b/library/tzdata/Asia/Chita @@ -68,4 +68,5 @@ set TZData(:Asia/Chita) { {1288458000 32400 0 YAKT} {1301158800 36000 0 YAKT} {1414252800 28800 0 IRKT} + {1459015200 32400 0 YAKT} } diff --git a/library/tzdata/Asia/Gaza b/library/tzdata/Asia/Gaza index 805b6b7..6adfe6d 100644 --- a/library/tzdata/Asia/Gaza +++ b/library/tzdata/Asia/Gaza @@ -107,172 +107,172 @@ set TZData(:Asia/Gaza) { {1414098000 7200 0 EET} {1427493600 10800 1 EEST} {1445547600 7200 0 EET} - {1458943200 10800 1 EEST} + {1458946800 10800 1 EEST} {1476997200 7200 0 EET} - {1490997600 10800 1 EEST} + {1490396400 10800 1 EEST} {1509051600 7200 0 EET} - {1522447200 10800 1 EEST} + {1522450800 10800 1 EEST} {1540501200 7200 0 EET} - {1553896800 10800 1 EEST} + {1553900400 10800 1 EEST} {1571950800 7200 0 EET} - {1585346400 10800 1 EEST} + {1585350000 10800 1 EEST} {1603400400 7200 0 EET} - {1616796000 10800 1 EEST} + {1616799600 10800 1 EEST} {1634850000 7200 0 EET} - {1648245600 10800 1 EEST} + {1648249200 10800 1 EEST} {1666299600 7200 0 EET} - {1680300000 10800 1 EEST} + {1679698800 10800 1 EEST} {1698354000 7200 0 EET} - {1711749600 10800 1 EEST} + {1711753200 10800 1 EEST} {1729803600 7200 0 EET} - {1743199200 10800 1 EEST} + {1743202800 10800 1 EEST} {1761253200 7200 0 EET} - {1774648800 10800 1 EEST} + {1774652400 10800 1 EEST} {1792702800 7200 0 EET} - {1806098400 10800 1 EEST} + {1806102000 10800 1 EEST} {1824152400 7200 0 EET} - {1838152800 10800 1 EEST} + {1837551600 10800 1 EEST} {1856206800 7200 0 EET} - {1869602400 10800 1 EEST} + {1869606000 10800 1 EEST} {1887656400 7200 0 EET} - {1901052000 10800 1 EEST} + {1901055600 10800 1 EEST} {1919106000 7200 0 EET} - {1932501600 10800 1 EEST} + {1932505200 10800 1 EEST} {1950555600 7200 0 EET} - {1963951200 10800 1 EEST} + {1963954800 10800 1 EEST} {1982005200 7200 0 EET} - {1995400800 10800 1 EEST} + {1995404400 10800 1 EEST} {2013454800 7200 0 EET} - {2027455200 10800 1 EEST} + {2026854000 10800 1 EEST} {2045509200 7200 0 EET} - {2058904800 10800 1 EEST} + {2058908400 10800 1 EEST} {2076958800 7200 0 EET} - {2090354400 10800 1 EEST} + {2090358000 10800 1 EEST} {2108408400 7200 0 EET} - {2121804000 10800 1 EEST} + {2121807600 10800 1 EEST} {2139858000 7200 0 EET} - {2153253600 10800 1 EEST} + {2153257200 10800 1 EEST} {2171307600 7200 0 EET} - {2184703200 10800 1 EEST} + {2184706800 10800 1 EEST} {2202757200 7200 0 EET} - {2216757600 10800 1 EEST} + {2216761200 10800 1 EEST} {2234811600 7200 0 EET} - {2248207200 10800 1 EEST} + {2248210800 10800 1 EEST} {2266261200 7200 0 EET} - {2279656800 10800 1 EEST} + {2279660400 10800 1 EEST} {2297710800 7200 0 EET} - {2311106400 10800 1 EEST} + {2311110000 10800 1 EEST} {2329160400 7200 0 EET} - {2342556000 10800 1 EEST} + {2342559600 10800 1 EEST} {2360610000 7200 0 EET} - {2374610400 10800 1 EEST} + {2374009200 10800 1 EEST} {2392664400 7200 0 EET} - {2406060000 10800 1 EEST} + {2406063600 10800 1 EEST} {2424114000 7200 0 EET} - {2437509600 10800 1 EEST} + {2437513200 10800 1 EEST} {2455563600 7200 0 EET} - {2468959200 10800 1 EEST} + {2468962800 10800 1 EEST} {2487013200 7200 0 EET} - {2500408800 10800 1 EEST} + {2500412400 10800 1 EEST} {2518462800 7200 0 EET} - {2531858400 10800 1 EEST} + {2531862000 10800 1 EEST} {2549912400 7200 0 EET} - {2563912800 10800 1 EEST} + {2563311600 10800 1 EEST} {2581966800 7200 0 EET} - {2595362400 10800 1 EEST} + {2595366000 10800 1 EEST} {2613416400 7200 0 EET} - {2626812000 10800 1 EEST} + {2626815600 10800 1 EEST} {2644866000 7200 0 EET} - {2658261600 10800 1 EEST} + {2658265200 10800 1 EEST} {2676315600 7200 0 EET} - {2689711200 10800 1 EEST} + {2689714800 10800 1 EEST} {2707765200 7200 0 EET} - {2721765600 10800 1 EEST} + {2721164400 10800 1 EEST} {2739819600 7200 0 EET} - {2753215200 10800 1 EEST} + {2753218800 10800 1 EEST} {2771269200 7200 0 EET} - {2784664800 10800 1 EEST} + {2784668400 10800 1 EEST} {2802718800 7200 0 EET} - {2816114400 10800 1 EEST} + {2816118000 10800 1 EEST} {2834168400 7200 0 EET} - {2847564000 10800 1 EEST} + {2847567600 10800 1 EEST} {2865618000 7200 0 EET} - {2879013600 10800 1 EEST} + {2879017200 10800 1 EEST} {2897067600 7200 0 EET} - {2911068000 10800 1 EEST} + {2910466800 10800 1 EEST} {2929122000 7200 0 EET} - {2942517600 10800 1 EEST} + {2942521200 10800 1 EEST} {2960571600 7200 0 EET} - {2973967200 10800 1 EEST} + {2973970800 10800 1 EEST} {2992021200 7200 0 EET} - {3005416800 10800 1 EEST} + {3005420400 10800 1 EEST} {3023470800 7200 0 EET} - {3036866400 10800 1 EEST} + {3036870000 10800 1 EEST} {3054920400 7200 0 EET} - {3068316000 10800 1 EEST} + {3068319600 10800 1 EEST} {3086370000 7200 0 EET} - {3100370400 10800 1 EEST} + {3100374000 10800 1 EEST} {3118424400 7200 0 EET} - {3131820000 10800 1 EEST} + {3131823600 10800 1 EEST} {3149874000 7200 0 EET} - {3163269600 10800 1 EEST} + {3163273200 10800 1 EEST} {3181323600 7200 0 EET} - {3194719200 10800 1 EEST} + {3194722800 10800 1 EEST} {3212773200 7200 0 EET} - {3226168800 10800 1 EEST} + {3226172400 10800 1 EEST} {3244222800 7200 0 EET} - {3258223200 10800 1 EEST} + {3257622000 10800 1 EEST} {3276277200 7200 0 EET} - {3289672800 10800 1 EEST} + {3289676400 10800 1 EEST} {3307726800 7200 0 EET} - {3321122400 10800 1 EEST} + {3321126000 10800 1 EEST} {3339176400 7200 0 EET} - {3352572000 10800 1 EEST} + {3352575600 10800 1 EEST} {3370626000 7200 0 EET} - {3384021600 10800 1 EEST} + {3384025200 10800 1 EEST} {3402075600 7200 0 EET} - {3415471200 10800 1 EEST} + {3415474800 10800 1 EEST} {3433525200 7200 0 EET} - {3447525600 10800 1 EEST} + {3446924400 10800 1 EEST} {3465579600 7200 0 EET} - {3478975200 10800 1 EEST} + {3478978800 10800 1 EEST} {3497029200 7200 0 EET} - {3510424800 10800 1 EEST} + {3510428400 10800 1 EEST} {3528478800 7200 0 EET} - {3541874400 10800 1 EEST} + {3541878000 10800 1 EEST} {3559928400 7200 0 EET} - {3573324000 10800 1 EEST} + {3573327600 10800 1 EEST} {3591378000 7200 0 EET} - {3605378400 10800 1 EEST} + {3604777200 10800 1 EEST} {3623432400 7200 0 EET} - {3636828000 10800 1 EEST} + {3636831600 10800 1 EEST} {3654882000 7200 0 EET} - {3668277600 10800 1 EEST} + {3668281200 10800 1 EEST} {3686331600 7200 0 EET} - {3699727200 10800 1 EEST} + {3699730800 10800 1 EEST} {3717781200 7200 0 EET} - {3731176800 10800 1 EEST} + {3731180400 10800 1 EEST} {3749230800 7200 0 EET} - {3762626400 10800 1 EEST} + {3762630000 10800 1 EEST} {3780680400 7200 0 EET} - {3794680800 10800 1 EEST} + {3794079600 10800 1 EEST} {3812734800 7200 0 EET} - {3826130400 10800 1 EEST} + {3826134000 10800 1 EEST} {3844184400 7200 0 EET} - {3857580000 10800 1 EEST} + {3857583600 10800 1 EEST} {3875634000 7200 0 EET} - {3889029600 10800 1 EEST} + {3889033200 10800 1 EEST} {3907083600 7200 0 EET} - {3920479200 10800 1 EEST} + {3920482800 10800 1 EEST} {3938533200 7200 0 EET} - {3951928800 10800 1 EEST} + {3951932400 10800 1 EEST} {3969982800 7200 0 EET} - {3983983200 10800 1 EEST} + {3983986800 10800 1 EEST} {4002037200 7200 0 EET} - {4015432800 10800 1 EEST} + {4015436400 10800 1 EEST} {4033486800 7200 0 EET} - {4046882400 10800 1 EEST} + {4046886000 10800 1 EEST} {4064936400 7200 0 EET} - {4078332000 10800 1 EEST} + {4078335600 10800 1 EEST} {4096386000 7200 0 EET} } diff --git a/library/tzdata/Asia/Hebron b/library/tzdata/Asia/Hebron index 9049d93..2db45f2 100644 --- a/library/tzdata/Asia/Hebron +++ b/library/tzdata/Asia/Hebron @@ -106,172 +106,172 @@ set TZData(:Asia/Hebron) { {1414098000 7200 0 EET} {1427493600 10800 1 EEST} {1445547600 7200 0 EET} - {1458943200 10800 1 EEST} + {1458946800 10800 1 EEST} {1476997200 7200 0 EET} - {1490997600 10800 1 EEST} + {1490396400 10800 1 EEST} {1509051600 7200 0 EET} - {1522447200 10800 1 EEST} + {1522450800 10800 1 EEST} {1540501200 7200 0 EET} - {1553896800 10800 1 EEST} + {1553900400 10800 1 EEST} {1571950800 7200 0 EET} - {1585346400 10800 1 EEST} + {1585350000 10800 1 EEST} {1603400400 7200 0 EET} - {1616796000 10800 1 EEST} + {1616799600 10800 1 EEST} {1634850000 7200 0 EET} - {1648245600 10800 1 EEST} + {1648249200 10800 1 EEST} {1666299600 7200 0 EET} - {1680300000 10800 1 EEST} + {1679698800 10800 1 EEST} {1698354000 7200 0 EET} - {1711749600 10800 1 EEST} + {1711753200 10800 1 EEST} {1729803600 7200 0 EET} - {1743199200 10800 1 EEST} + {1743202800 10800 1 EEST} {1761253200 7200 0 EET} - {1774648800 10800 1 EEST} + {1774652400 10800 1 EEST} {1792702800 7200 0 EET} - {1806098400 10800 1 EEST} + {1806102000 10800 1 EEST} {1824152400 7200 0 EET} - {1838152800 10800 1 EEST} + {1837551600 10800 1 EEST} {1856206800 7200 0 EET} - {1869602400 10800 1 EEST} + {1869606000 10800 1 EEST} {1887656400 7200 0 EET} - {1901052000 10800 1 EEST} + {1901055600 10800 1 EEST} {1919106000 7200 0 EET} - {1932501600 10800 1 EEST} + {1932505200 10800 1 EEST} {1950555600 7200 0 EET} - {1963951200 10800 1 EEST} + {1963954800 10800 1 EEST} {1982005200 7200 0 EET} - {1995400800 10800 1 EEST} + {1995404400 10800 1 EEST} {2013454800 7200 0 EET} - {2027455200 10800 1 EEST} + {2026854000 10800 1 EEST} {2045509200 7200 0 EET} - {2058904800 10800 1 EEST} + {2058908400 10800 1 EEST} {2076958800 7200 0 EET} - {2090354400 10800 1 EEST} + {2090358000 10800 1 EEST} {2108408400 7200 0 EET} - {2121804000 10800 1 EEST} + {2121807600 10800 1 EEST} {2139858000 7200 0 EET} - {2153253600 10800 1 EEST} + {2153257200 10800 1 EEST} {2171307600 7200 0 EET} - {2184703200 10800 1 EEST} + {2184706800 10800 1 EEST} {2202757200 7200 0 EET} - {2216757600 10800 1 EEST} + {2216761200 10800 1 EEST} {2234811600 7200 0 EET} - {2248207200 10800 1 EEST} + {2248210800 10800 1 EEST} {2266261200 7200 0 EET} - {2279656800 10800 1 EEST} + {2279660400 10800 1 EEST} {2297710800 7200 0 EET} - {2311106400 10800 1 EEST} + {2311110000 10800 1 EEST} {2329160400 7200 0 EET} - {2342556000 10800 1 EEST} + {2342559600 10800 1 EEST} {2360610000 7200 0 EET} - {2374610400 10800 1 EEST} + {2374009200 10800 1 EEST} {2392664400 7200 0 EET} - {2406060000 10800 1 EEST} + {2406063600 10800 1 EEST} {2424114000 7200 0 EET} - {2437509600 10800 1 EEST} + {2437513200 10800 1 EEST} {2455563600 7200 0 EET} - {2468959200 10800 1 EEST} + {2468962800 10800 1 EEST} {2487013200 7200 0 EET} - {2500408800 10800 1 EEST} + {2500412400 10800 1 EEST} {2518462800 7200 0 EET} - {2531858400 10800 1 EEST} + {2531862000 10800 1 EEST} {2549912400 7200 0 EET} - {2563912800 10800 1 EEST} + {2563311600 10800 1 EEST} {2581966800 7200 0 EET} - {2595362400 10800 1 EEST} + {2595366000 10800 1 EEST} {2613416400 7200 0 EET} - {2626812000 10800 1 EEST} + {2626815600 10800 1 EEST} {2644866000 7200 0 EET} - {2658261600 10800 1 EEST} + {2658265200 10800 1 EEST} {2676315600 7200 0 EET} - {2689711200 10800 1 EEST} + {2689714800 10800 1 EEST} {2707765200 7200 0 EET} - {2721765600 10800 1 EEST} + {2721164400 10800 1 EEST} {2739819600 7200 0 EET} - {2753215200 10800 1 EEST} + {2753218800 10800 1 EEST} {2771269200 7200 0 EET} - {2784664800 10800 1 EEST} + {2784668400 10800 1 EEST} {2802718800 7200 0 EET} - {2816114400 10800 1 EEST} + {2816118000 10800 1 EEST} {2834168400 7200 0 EET} - {2847564000 10800 1 EEST} + {2847567600 10800 1 EEST} {2865618000 7200 0 EET} - {2879013600 10800 1 EEST} + {2879017200 10800 1 EEST} {2897067600 7200 0 EET} - {2911068000 10800 1 EEST} + {2910466800 10800 1 EEST} {2929122000 7200 0 EET} - {2942517600 10800 1 EEST} + {2942521200 10800 1 EEST} {2960571600 7200 0 EET} - {2973967200 10800 1 EEST} + {2973970800 10800 1 EEST} {2992021200 7200 0 EET} - {3005416800 10800 1 EEST} + {3005420400 10800 1 EEST} {3023470800 7200 0 EET} - {3036866400 10800 1 EEST} + {3036870000 10800 1 EEST} {3054920400 7200 0 EET} - {3068316000 10800 1 EEST} + {3068319600 10800 1 EEST} {3086370000 7200 0 EET} - {3100370400 10800 1 EEST} + {3100374000 10800 1 EEST} {3118424400 7200 0 EET} - {3131820000 10800 1 EEST} + {3131823600 10800 1 EEST} {3149874000 7200 0 EET} - {3163269600 10800 1 EEST} + {3163273200 10800 1 EEST} {3181323600 7200 0 EET} - {3194719200 10800 1 EEST} + {3194722800 10800 1 EEST} {3212773200 7200 0 EET} - {3226168800 10800 1 EEST} + {3226172400 10800 1 EEST} {3244222800 7200 0 EET} - {3258223200 10800 1 EEST} + {3257622000 10800 1 EEST} {3276277200 7200 0 EET} - {3289672800 10800 1 EEST} + {3289676400 10800 1 EEST} {3307726800 7200 0 EET} - {3321122400 10800 1 EEST} + {3321126000 10800 1 EEST} {3339176400 7200 0 EET} - {3352572000 10800 1 EEST} + {3352575600 10800 1 EEST} {3370626000 7200 0 EET} - {3384021600 10800 1 EEST} + {3384025200 10800 1 EEST} {3402075600 7200 0 EET} - {3415471200 10800 1 EEST} + {3415474800 10800 1 EEST} {3433525200 7200 0 EET} - {3447525600 10800 1 EEST} + {3446924400 10800 1 EEST} {3465579600 7200 0 EET} - {3478975200 10800 1 EEST} + {3478978800 10800 1 EEST} {3497029200 7200 0 EET} - {3510424800 10800 1 EEST} + {3510428400 10800 1 EEST} {3528478800 7200 0 EET} - {3541874400 10800 1 EEST} + {3541878000 10800 1 EEST} {3559928400 7200 0 EET} - {3573324000 10800 1 EEST} + {3573327600 10800 1 EEST} {3591378000 7200 0 EET} - {3605378400 10800 1 EEST} + {3604777200 10800 1 EEST} {3623432400 7200 0 EET} - {3636828000 10800 1 EEST} + {3636831600 10800 1 EEST} {3654882000 7200 0 EET} - {3668277600 10800 1 EEST} + {3668281200 10800 1 EEST} {3686331600 7200 0 EET} - {3699727200 10800 1 EEST} + {3699730800 10800 1 EEST} {3717781200 7200 0 EET} - {3731176800 10800 1 EEST} + {3731180400 10800 1 EEST} {3749230800 7200 0 EET} - {3762626400 10800 1 EEST} + {3762630000 10800 1 EEST} {3780680400 7200 0 EET} - {3794680800 10800 1 EEST} + {3794079600 10800 1 EEST} {3812734800 7200 0 EET} - {3826130400 10800 1 EEST} + {3826134000 10800 1 EEST} {3844184400 7200 0 EET} - {3857580000 10800 1 EEST} + {3857583600 10800 1 EEST} {3875634000 7200 0 EET} - {3889029600 10800 1 EEST} + {3889033200 10800 1 EEST} {3907083600 7200 0 EET} - {3920479200 10800 1 EEST} + {3920482800 10800 1 EEST} {3938533200 7200 0 EET} - {3951928800 10800 1 EEST} + {3951932400 10800 1 EEST} {3969982800 7200 0 EET} - {3983983200 10800 1 EEST} + {3983986800 10800 1 EEST} {4002037200 7200 0 EET} - {4015432800 10800 1 EEST} + {4015436400 10800 1 EEST} {4033486800 7200 0 EET} - {4046882400 10800 1 EEST} + {4046886000 10800 1 EEST} {4064936400 7200 0 EET} - {4078332000 10800 1 EEST} + {4078335600 10800 1 EEST} {4096386000 7200 0 EET} } diff --git a/library/tzdata/Asia/Karachi b/library/tzdata/Asia/Karachi index 3faa31e..669c11a 100644 --- a/library/tzdata/Asia/Karachi +++ b/library/tzdata/Asia/Karachi @@ -7,8 +7,8 @@ set TZData(:Asia/Karachi) { {-764145000 19800 0 IST} {-576135000 18000 0 KART} {38775600 18000 0 PKT} - {1018119660 21600 1 PKST} - {1033840860 18000 0 PKT} + {1018119600 21600 1 PKST} + {1033840800 18000 0 PKT} {1212260400 21600 1 PKST} {1225476000 18000 0 PKT} {1239735600 21600 1 PKST} diff --git a/library/tzdata/Asia/Sakhalin b/library/tzdata/Asia/Sakhalin index eed20ba..9247046 100644 --- a/library/tzdata/Asia/Sakhalin +++ b/library/tzdata/Asia/Sakhalin @@ -70,4 +70,5 @@ set TZData(:Asia/Sakhalin) { {1288454400 36000 0 SAKT} {1301155200 39600 0 SAKT} {1414249200 36000 0 SAKT} + {1459008000 39600 0 SAKT} } diff --git a/library/tzdata/Asia/Tehran b/library/tzdata/Asia/Tehran index 7dca0ae..5fd840d 100644 --- a/library/tzdata/Asia/Tehran +++ b/library/tzdata/Asia/Tehran @@ -102,4 +102,128 @@ set TZData(:Asia/Tehran) { {2105551800 12600 0 IRST} {2121193800 16200 1 IRDT} {2137087800 12600 0 IRST} + {2152729800 16200 1 IRDT} + {2168623800 12600 0 IRST} + {2184265800 16200 1 IRDT} + {2200159800 12600 0 IRST} + {2215888200 16200 1 IRDT} + {2231782200 12600 0 IRST} + {2247424200 16200 1 IRDT} + {2263318200 12600 0 IRST} + {2278960200 16200 1 IRDT} + {2294854200 12600 0 IRST} + {2310496200 16200 1 IRDT} + {2326390200 12600 0 IRST} + {2342118600 16200 1 IRDT} + {2358012600 12600 0 IRST} + {2373654600 16200 1 IRDT} + {2389548600 12600 0 IRST} + {2405190600 16200 1 IRDT} + {2421084600 12600 0 IRST} + {2436726600 16200 1 IRDT} + {2452620600 12600 0 IRST} + {2468349000 16200 1 IRDT} + {2484243000 12600 0 IRST} + {2499885000 16200 1 IRDT} + {2515779000 12600 0 IRST} + {2531421000 16200 1 IRDT} + {2547315000 12600 0 IRST} + {2562957000 16200 1 IRDT} + {2578851000 12600 0 IRST} + {2594579400 16200 1 IRDT} + {2610473400 12600 0 IRST} + {2626115400 16200 1 IRDT} + {2642009400 12600 0 IRST} + {2657651400 16200 1 IRDT} + {2673545400 12600 0 IRST} + {2689187400 16200 1 IRDT} + {2705081400 12600 0 IRST} + {2720809800 16200 1 IRDT} + {2736703800 12600 0 IRST} + {2752345800 16200 1 IRDT} + {2768239800 12600 0 IRST} + {2783881800 16200 1 IRDT} + {2799775800 12600 0 IRST} + {2815417800 16200 1 IRDT} + {2831311800 12600 0 IRST} + {2847040200 16200 1 IRDT} + {2862934200 12600 0 IRST} + {2878576200 16200 1 IRDT} + {2894470200 12600 0 IRST} + {2910112200 16200 1 IRDT} + {2926006200 12600 0 IRST} + {2941648200 16200 1 IRDT} + {2957542200 12600 0 IRST} + {2973270600 16200 1 IRDT} + {2989164600 12600 0 IRST} + {3004806600 16200 1 IRDT} + {3020700600 12600 0 IRST} + {3036342600 16200 1 IRDT} + {3052236600 12600 0 IRST} + {3067878600 16200 1 IRDT} + {3083772600 12600 0 IRST} + {3099501000 16200 1 IRDT} + {3115395000 12600 0 IRST} + {3131037000 16200 1 IRDT} + {3146931000 12600 0 IRST} + {3162573000 16200 1 IRDT} + {3178467000 12600 0 IRST} + {3194109000 16200 1 IRDT} + {3210003000 12600 0 IRST} + {3225731400 16200 1 IRDT} + {3241625400 12600 0 IRST} + {3257267400 16200 1 IRDT} + {3273161400 12600 0 IRST} + {3288803400 16200 1 IRDT} + {3304697400 12600 0 IRST} + {3320339400 16200 1 IRDT} + {3336233400 12600 0 IRST} + {3351961800 16200 1 IRDT} + {3367855800 12600 0 IRST} + {3383497800 16200 1 IRDT} + {3399391800 12600 0 IRST} + {3415033800 16200 1 IRDT} + {3430927800 12600 0 IRST} + {3446569800 16200 1 IRDT} + {3462463800 12600 0 IRST} + {3478192200 16200 1 IRDT} + {3494086200 12600 0 IRST} + {3509728200 16200 1 IRDT} + {3525622200 12600 0 IRST} + {3541264200 16200 1 IRDT} + {3557158200 12600 0 IRST} + {3572800200 16200 1 IRDT} + {3588694200 12600 0 IRST} + {3604422600 16200 1 IRDT} + {3620316600 12600 0 IRST} + {3635958600 16200 1 IRDT} + {3651852600 12600 0 IRST} + {3667494600 16200 1 IRDT} + {3683388600 12600 0 IRST} + {3699030600 16200 1 IRDT} + {3714924600 12600 0 IRST} + {3730653000 16200 1 IRDT} + {3746547000 12600 0 IRST} + {3762189000 16200 1 IRDT} + {3778083000 12600 0 IRST} + {3793725000 16200 1 IRDT} + {3809619000 12600 0 IRST} + {3825261000 16200 1 IRDT} + {3841155000 12600 0 IRST} + {3856883400 16200 1 IRDT} + {3872777400 12600 0 IRST} + {3888419400 16200 1 IRDT} + {3904313400 12600 0 IRST} + {3919955400 16200 1 IRDT} + {3935849400 12600 0 IRST} + {3951491400 16200 1 IRDT} + {3967385400 12600 0 IRST} + {3983113800 16200 1 IRDT} + {3999007800 12600 0 IRST} + {4014649800 16200 1 IRDT} + {4030543800 12600 0 IRST} + {4046185800 16200 1 IRDT} + {4062079800 12600 0 IRST} + {4077721800 16200 1 IRDT} + {4093615800 12600 0 IRST} } diff --git a/library/tzdata/Europe/Astrakhan b/library/tzdata/Europe/Astrakhan new file mode 100644 index 0000000..e5e9c26 --- /dev/null +++ b/library/tzdata/Europe/Astrakhan @@ -0,0 +1,70 @@ +# created by tools/tclZIC.tcl - do not edit + +set TZData(:Europe/Astrakhan) { + {-9223372036854775808 11532 0 LMT} + {-1441249932 10800 0 +03} + {-1247540400 14400 0 +05} + {354916800 18000 1 +05} + {370724400 14400 0 +04} + {386452800 18000 1 +05} + {402260400 14400 0 +04} + {417988800 18000 1 +05} + {433796400 14400 0 +04} + {449611200 18000 1 +05} + {465343200 14400 0 +04} + {481068000 18000 1 +05} + {496792800 14400 0 +04} + {512517600 18000 1 +05} + {528242400 14400 0 +04} + {543967200 18000 1 +05} + {559692000 14400 0 +04} + {575416800 18000 1 +05} + {591141600 14400 0 +04} + {606866400 10800 0 +04} + {606870000 14400 1 +04} + {622594800 10800 0 +03} + {638319600 14400 1 +04} + {654649200 10800 0 +03} + {670374000 14400 0 +04} + {701820000 14400 0 +04} + {717534000 10800 0 +03} + {733273200 14400 1 +04} + {748998000 10800 0 +03} + {764722800 14400 1 +04} + {780447600 10800 0 +03} + {796172400 14400 1 +04} + {811897200 10800 0 +03} + {828226800 14400 1 +04} + {846370800 10800 0 +03} + {859676400 14400 1 +04} + {877820400 10800 0 +03} + {891126000 14400 1 +04} + {909270000 10800 0 +03} + {922575600 14400 1 +04} + {941324400 10800 0 +03} + {954025200 14400 1 +04} + {972774000 10800 0 +03} + {985474800 14400 1 +04} + {1004223600 10800 0 +03} + {1017529200 14400 1 +04} + {1035673200 10800 0 +03} + {1048978800 14400 1 +04} + {1067122800 10800 0 +03} + {1080428400 14400 1 +04} + {1099177200 10800 0 +03} + {1111878000 14400 1 +04} + {1130626800 10800 0 +03} + {1143327600 14400 1 +04} + {1162076400 10800 0 +03} + {1174777200 14400 1 +04} + {1193526000 10800 0 +03} + {1206831600 14400 1 +04} + {1224975600 10800 0 +03} + {1238281200 14400 1 +04} + {1256425200 10800 0 +03} + {1269730800 14400 1 +04} + {1288479600 10800 0 +03} + {1301180400 14400 0 +04} + {1414274400 10800 0 +03} + {1459033200 14400 0 +04} +} diff --git a/library/tzdata/Europe/Chisinau b/library/tzdata/Europe/Chisinau index 5c240e7..db4c6db 100644 --- a/library/tzdata/Europe/Chisinau +++ b/library/tzdata/Europe/Chisinau @@ -46,9 +46,9 @@ set TZData(:Europe/Chisinau) { {591145200 10800 0 MSK} {606870000 14400 1 MSD} {622594800 10800 0 MSK} - {631141200 10800 0 MSK} - {641941200 7200 0 EET} - {662680800 7200 0 EEMMTT} + {638319600 14400 1 MSD} + {641948400 10800 0 EEST} + {654652800 7200 0 EET} {670377600 10800 1 EEST} {686102400 7200 0 EET} {694216800 7200 0 EET} diff --git a/library/tzdata/Europe/Samara b/library/tzdata/Europe/Samara index ee9d989..47615de 100644 --- a/library/tzdata/Europe/Samara +++ b/library/tzdata/Europe/Samara @@ -28,7 +28,7 @@ set TZData(:Europe/Samara) { {654649200 10800 0 MSK} {670374000 7200 0 EEMMTT} {670377600 10800 1 EEST} - {686102400 10800 0 KUYT} + {686102400 10800 0 SAMT} {687916800 14400 0 SAMT} {701809200 18000 1 SAMST} {717530400 14400 0 SAMT} diff --git a/library/tzdata/Europe/Ulyanovsk b/library/tzdata/Europe/Ulyanovsk new file mode 100644 index 0000000..b975622 --- /dev/null +++ b/library/tzdata/Europe/Ulyanovsk @@ -0,0 +1,73 @@ +# created by tools/tclZIC.tcl - do not edit + +set TZData(:Europe/Ulyanovsk) { + {-9223372036854775808 11616 0 LMT} + {-1593825216 10800 0 +03} + {-1247540400 14400 0 +05} + {354916800 18000 1 +05} + {370724400 14400 0 +04} + {386452800 18000 1 +05} + {402260400 14400 0 +04} + {417988800 18000 1 +05} + {433796400 14400 0 +04} + {449611200 18000 1 +05} + {465343200 14400 0 +04} + {481068000 18000 1 +05} + {496792800 14400 0 +04} + {512517600 18000 1 +05} + {528242400 14400 0 +04} + {543967200 18000 1 +05} + {559692000 14400 0 +04} + {575416800 18000 1 +05} + {591141600 14400 0 +04} + {606866400 10800 0 +04} + {606870000 14400 1 +04} + {622594800 10800 0 +03} + {638319600 14400 1 +04} + {654649200 10800 0 +03} + {670374000 7200 0 +03} + {670377600 10800 1 +03} + {686102400 7200 0 +02} + {695779200 10800 0 +04} + {701812800 14400 1 +04} + {717534000 10800 0 +03} + {733273200 14400 1 +04} + {748998000 10800 0 +03} + {764722800 14400 1 +04} + {780447600 10800 0 +03} + {796172400 14400 1 +04} + {811897200 10800 0 +03} + {828226800 14400 1 +04} + {846370800 10800 0 +03} + {859676400 14400 1 +04} + {877820400 10800 0 +03} + {891126000 14400 1 +04} + {909270000 10800 0 +03} + {922575600 14400 1 +04} + {941324400 10800 0 +03} + {954025200 14400 1 +04} + {972774000 10800 0 +03} + {985474800 14400 1 +04} + {1004223600 10800 0 +03} + {1017529200 14400 1 +04} + {1035673200 10800 0 +03} + {1048978800 14400 1 +04} + {1067122800 10800 0 +03} + {1080428400 14400 1 +04} + {1099177200 10800 0 +03} + {1111878000 14400 1 +04} + {1130626800 10800 0 +03} + {1143327600 14400 1 +04} + {1162076400 10800 0 +03} + {1174777200 14400 1 +04} + {1193526000 10800 0 +03} + {1206831600 14400 1 +04} + {1224975600 10800 0 +03} + {1238281200 14400 1 +04} + {1256425200 10800 0 +03} + {1269730800 14400 1 +04} + {1288479600 10800 0 +03} + {1301180400 14400 0 +04} + {1414274400 10800 0 +03} + {1459033200 14400 0 +04} +} -- cgit v0.12 From 91a20bc018f04bcf8ce13412ad16cfcbe9e53489 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 16 Mar 2016 09:56:55 +0000 Subject: Remove undocumented TCL_HASH_KEY_STORE_HASH. Setting this to "0" is not supported (was it ever ????), and not tested for long time. --- generic/tcl.h | 18 ------------------ generic/tclHash.c | 37 ------------------------------------- 2 files changed, 55 deletions(-) diff --git a/generic/tcl.h b/generic/tcl.h index 58ba7e5..3cd90a9 100644 --- a/generic/tcl.h +++ b/generic/tcl.h @@ -1165,18 +1165,6 @@ typedef Tcl_HashEntry * (Tcl_AllocHashEntryProc) (Tcl_HashTable *tablePtr, typedef void (Tcl_FreeHashEntryProc) (Tcl_HashEntry *hPtr); /* - * This flag controls whether the hash table stores the hash of a key, or - * recalculates it. There should be no reason for turning this flag off as it - * is completely binary and source compatible unless you directly access the - * bucketPtr member of the Tcl_HashTableEntry structure. This member has been - * removed and the space used to store the hash value. - */ - -#ifndef TCL_HASH_KEY_STORE_HASH -# define TCL_HASH_KEY_STORE_HASH 1 -#endif - -/* * Structure definition for an entry in a hash table. No-one outside Tcl * should access any of these fields directly; use the macros defined below. */ @@ -1185,15 +1173,9 @@ struct Tcl_HashEntry { Tcl_HashEntry *nextPtr; /* Pointer to next entry in this hash bucket, * or NULL for end of chain. */ Tcl_HashTable *tablePtr; /* Pointer to table containing entry. */ -#if TCL_HASH_KEY_STORE_HASH void *hash; /* Hash value, stored as pointer to ensure * that the offsets of the fields in this * structure are not changed. */ -#else - Tcl_HashEntry **bucketPtr; /* Pointer to bucket that points to first - * entry in this entry's chain: used for - * deleting the entry. */ -#endif ClientData clientData; /* Application stores something here with * Tcl_SetHashValue. */ union { /* Key has one of these forms: */ diff --git a/generic/tclHash.c b/generic/tclHash.c index 1991aea..3ea9dd9 100644 --- a/generic/tclHash.c +++ b/generic/tclHash.c @@ -321,11 +321,9 @@ CreateHashEntry( for (hPtr = tablePtr->buckets[index]; hPtr != NULL; hPtr = hPtr->nextPtr) { -#if TCL_HASH_KEY_STORE_HASH if (hash != PTR2UINT(hPtr->hash)) { continue; } -#endif if (((void *) key == hPtr) || compareKeysProc((void *) key, hPtr)) { if (newPtr) { *newPtr = 0; @@ -336,11 +334,9 @@ CreateHashEntry( } else { for (hPtr = tablePtr->buckets[index]; hPtr != NULL; hPtr = hPtr->nextPtr) { -#if TCL_HASH_KEY_STORE_HASH if (hash != PTR2UINT(hPtr->hash)) { continue; } -#endif if (key == hPtr->key.oneWordValue) { if (newPtr) { *newPtr = 0; @@ -368,15 +364,9 @@ CreateHashEntry( } hPtr->tablePtr = tablePtr; -#if TCL_HASH_KEY_STORE_HASH hPtr->hash = UINT2PTR(hash); hPtr->nextPtr = tablePtr->buckets[index]; tablePtr->buckets[index] = hPtr; -#else - hPtr->bucketPtr = &tablePtr->buckets[index]; - hPtr->nextPtr = *hPtr->bucketPtr; - *hPtr->bucketPtr = hPtr; -#endif tablePtr->numEntries++; /* @@ -416,9 +406,7 @@ Tcl_DeleteHashEntry( const Tcl_HashKeyType *typePtr; Tcl_HashTable *tablePtr; Tcl_HashEntry **bucketPtr; -#if TCL_HASH_KEY_STORE_HASH int index; -#endif tablePtr = entryPtr->tablePtr; @@ -433,7 +421,6 @@ Tcl_DeleteHashEntry( typePtr = &tclArrayHashKeyType; } -#if TCL_HASH_KEY_STORE_HASH if (typePtr->hashKeyProc == NULL || typePtr->flags & TCL_HASH_KEY_RANDOMIZE_HASH) { index = RANDOM_INDEX(tablePtr, PTR2INT(entryPtr->hash)); @@ -442,9 +429,6 @@ Tcl_DeleteHashEntry( } bucketPtr = &tablePtr->buckets[index]; -#else - bucketPtr = entryPtr->bucketPtr; -#endif if (*bucketPtr == entryPtr) { *bucketPtr = entryPtr->nextPtr; @@ -1062,7 +1046,6 @@ RebuildTable( for (oldChainPtr = oldBuckets; oldSize > 0; oldSize--, oldChainPtr++) { for (hPtr = *oldChainPtr; hPtr != NULL; hPtr = *oldChainPtr) { *oldChainPtr = hPtr->nextPtr; -#if TCL_HASH_KEY_STORE_HASH if (typePtr->hashKeyProc == NULL || typePtr->flags & TCL_HASH_KEY_RANDOMIZE_HASH) { index = RANDOM_INDEX(tablePtr, PTR2INT(hPtr->hash)); @@ -1071,26 +1054,6 @@ RebuildTable( } hPtr->nextPtr = tablePtr->buckets[index]; tablePtr->buckets[index] = hPtr; -#else - void *key = Tcl_GetHashKey(tablePtr, hPtr); - - if (typePtr->hashKeyProc) { - unsigned int hash; - - hash = typePtr->hashKeyProc(tablePtr, key); - if (typePtr->flags & TCL_HASH_KEY_RANDOMIZE_HASH) { - index = RANDOM_INDEX(tablePtr, hash); - } else { - index = hash & tablePtr->mask; - } - } else { - index = RANDOM_INDEX(tablePtr, key); - } - - hPtr->bucketPtr = &tablePtr->buckets[index]; - hPtr->nextPtr = *hPtr->bucketPtr; - *hPtr->bucketPtr = hPtr; -#endif } } -- cgit v0.12 From 671e2228ac8024e945034191da52584381ce61ac Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 16 Mar 2016 09:58:08 +0000 Subject: (cherry-pick from trunk): Update tzdata to 2016b from ietf.org --- library/tzdata/America/Port-au-Prince | 168 ---------------------------------- library/tzdata/Asia/Barnaul | 71 ++++++++++++++ library/tzdata/Asia/Gaza | 168 +++++++++++++++++----------------- library/tzdata/Asia/Hebron | 168 +++++++++++++++++----------------- library/tzdata/Asia/Sakhalin | 1 + library/tzdata/Europe/Astrakhan | 70 ++++++++++++++ library/tzdata/Europe/Chisinau | 6 +- library/tzdata/Europe/Samara | 2 +- library/tzdata/Europe/Ulyanovsk | 73 +++++++++++++++ 9 files changed, 387 insertions(+), 340 deletions(-) create mode 100644 library/tzdata/Asia/Barnaul create mode 100644 library/tzdata/Europe/Astrakhan create mode 100644 library/tzdata/Europe/Ulyanovsk diff --git a/library/tzdata/America/Port-au-Prince b/library/tzdata/America/Port-au-Prince index f1d7fc4..b8b60d6 100644 --- a/library/tzdata/America/Port-au-Prince +++ b/library/tzdata/America/Port-au-Prince @@ -46,172 +46,4 @@ set TZData(:America/Port-au-Prince) { {1414908000 -18000 0 EST} {1425798000 -14400 1 EDT} {1446357600 -18000 0 EST} - {1457852400 -14400 1 EDT} - {1478412000 -18000 0 EST} - {1489302000 -14400 1 EDT} - {1509861600 -18000 0 EST} - {1520751600 -14400 1 EDT} - {1541311200 -18000 0 EST} - {1552201200 -14400 1 EDT} - {1572760800 -18000 0 EST} - {1583650800 -14400 1 EDT} - {1604210400 -18000 0 EST} - {1615705200 -14400 1 EDT} - {1636264800 -18000 0 EST} - {1647154800 -14400 1 EDT} - {1667714400 -18000 0 EST} - {1678604400 -14400 1 EDT} - {1699164000 -18000 0 EST} - {1710054000 -14400 1 EDT} - {1730613600 -18000 0 EST} - {1741503600 -14400 1 EDT} - {1762063200 -18000 0 EST} - {1772953200 -14400 1 EDT} - {1793512800 -18000 0 EST} - {1805007600 -14400 1 EDT} - {1825567200 -18000 0 EST} - {1836457200 -14400 1 EDT} - {1857016800 -18000 0 EST} - {1867906800 -14400 1 EDT} - {1888466400 -18000 0 EST} - {1899356400 -14400 1 EDT} - {1919916000 -18000 0 EST} - {1930806000 -14400 1 EDT} - {1951365600 -18000 0 EST} - {1962860400 -14400 1 EDT} - {1983420000 -18000 0 EST} - {1994310000 -14400 1 EDT} - {2014869600 -18000 0 EST} - {2025759600 -14400 1 EDT} - {2046319200 -18000 0 EST} - {2057209200 -14400 1 EDT} - {2077768800 -18000 0 EST} - {2088658800 -14400 1 EDT} - {2109218400 -18000 0 EST} - {2120108400 -14400 1 EDT} - {2140668000 -18000 0 EST} - {2152162800 -14400 1 EDT} - {2172722400 -18000 0 EST} - {2183612400 -14400 1 EDT} - {2204172000 -18000 0 EST} - {2215062000 -14400 1 EDT} - {2235621600 -18000 0 EST} - {2246511600 -14400 1 EDT} - {2267071200 -18000 0 EST} - {2277961200 -14400 1 EDT} - {2298520800 -18000 0 EST} - {2309410800 -14400 1 EDT} - {2329970400 -18000 0 EST} - {2341465200 -14400 1 EDT} - {2362024800 -18000 0 EST} - {2372914800 -14400 1 EDT} - {2393474400 -18000 0 EST} - {2404364400 -14400 1 EDT} - {2424924000 -18000 0 EST} - {2435814000 -14400 1 EDT} - {2456373600 -18000 0 EST} - {2467263600 -14400 1 EDT} - {2487823200 -18000 0 EST} - {2499318000 -14400 1 EDT} - {2519877600 -18000 0 EST} - {2530767600 -14400 1 EDT} - {2551327200 -18000 0 EST} - {2562217200 -14400 1 EDT} - {2582776800 -18000 0 EST} - {2593666800 -14400 1 EDT} - {2614226400 -18000 0 EST} - {2625116400 -14400 1 EDT} - {2645676000 -18000 0 EST} - {2656566000 -14400 1 EDT} - {2677125600 -18000 0 EST} - {2688620400 -14400 1 EDT} - {2709180000 -18000 0 EST} - {2720070000 -14400 1 EDT} - {2740629600 -18000 0 EST} - {2751519600 -14400 1 EDT} - {2772079200 -18000 0 EST} - {2782969200 -14400 1 EDT} - {2803528800 -18000 0 EST} - {2814418800 -14400 1 EDT} - {2834978400 -18000 0 EST} - {2846473200 -14400 1 EDT} - {2867032800 -18000 0 EST} - {2877922800 -14400 1 EDT} - {2898482400 -18000 0 EST} - {2909372400 -14400 1 EDT} - {2929932000 -18000 0 EST} - {2940822000 -14400 1 EDT} - {2961381600 -18000 0 EST} - {2972271600 -14400 1 EDT} - {2992831200 -18000 0 EST} - {3003721200 -14400 1 EDT} - {3024280800 -18000 0 EST} - {3035775600 -14400 1 EDT} - {3056335200 -18000 0 EST} - {3067225200 -14400 1 EDT} - {3087784800 -18000 0 EST} - {3098674800 -14400 1 EDT} - {3119234400 -18000 0 EST} - {3130124400 -14400 1 EDT} - {3150684000 -18000 0 EST} - {3161574000 -14400 1 EDT} - {3182133600 -18000 0 EST} - {3193023600 -14400 1 EDT} - {3213583200 -18000 0 EST} - {3225078000 -14400 1 EDT} - {3245637600 -18000 0 EST} - {3256527600 -14400 1 EDT} - {3277087200 -18000 0 EST} - {3287977200 -14400 1 EDT} - {3308536800 -18000 0 EST} - {3319426800 -14400 1 EDT} - {3339986400 -18000 0 EST} - {3350876400 -14400 1 EDT} - {3371436000 -18000 0 EST} - {3382930800 -14400 1 EDT} - {3403490400 -18000 0 EST} - {3414380400 -14400 1 EDT} - {3434940000 -18000 0 EST} - {3445830000 -14400 1 EDT} - {3466389600 -18000 0 EST} - {3477279600 -14400 1 EDT} - {3497839200 -18000 0 EST} - {3508729200 -14400 1 EDT} - {3529288800 -18000 0 EST} - {3540178800 -14400 1 EDT} - {3560738400 -18000 0 EST} - {3572233200 -14400 1 EDT} - {3592792800 -18000 0 EST} - {3603682800 -14400 1 EDT} - {3624242400 -18000 0 EST} - {3635132400 -14400 1 EDT} - {3655692000 -18000 0 EST} - {3666582000 -14400 1 EDT} - {3687141600 -18000 0 EST} - {3698031600 -14400 1 EDT} - {3718591200 -18000 0 EST} - {3730086000 -14400 1 EDT} - {3750645600 -18000 0 EST} - {3761535600 -14400 1 EDT} - {3782095200 -18000 0 EST} - {3792985200 -14400 1 EDT} - {3813544800 -18000 0 EST} - {3824434800 -14400 1 EDT} - {3844994400 -18000 0 EST} - {3855884400 -14400 1 EDT} - {3876444000 -18000 0 EST} - {3887334000 -14400 1 EDT} - {3907893600 -18000 0 EST} - {3919388400 -14400 1 EDT} - {3939948000 -18000 0 EST} - {3950838000 -14400 1 EDT} - {3971397600 -18000 0 EST} - {3982287600 -14400 1 EDT} - {4002847200 -18000 0 EST} - {4013737200 -14400 1 EDT} - {4034296800 -18000 0 EST} - {4045186800 -14400 1 EDT} - {4065746400 -18000 0 EST} - {4076636400 -14400 1 EDT} - {4097196000 -18000 0 EST} } diff --git a/library/tzdata/Asia/Barnaul b/library/tzdata/Asia/Barnaul new file mode 100644 index 0000000..8072e34 --- /dev/null +++ b/library/tzdata/Asia/Barnaul @@ -0,0 +1,71 @@ +# created by tools/tclZIC.tcl - do not edit + +set TZData(:Asia/Barnaul) { + {-9223372036854775808 20100 0 LMT} + {-1579844100 21600 0 +06} + {-1247551200 25200 0 +08} + {354906000 28800 1 +08} + {370713600 25200 0 +07} + {386442000 28800 1 +08} + {402249600 25200 0 +07} + {417978000 28800 1 +08} + {433785600 25200 0 +07} + {449600400 28800 1 +08} + {465332400 25200 0 +07} + {481057200 28800 1 +08} + {496782000 25200 0 +07} + {512506800 28800 1 +08} + {528231600 25200 0 +07} + {543956400 28800 1 +08} + {559681200 25200 0 +07} + {575406000 28800 1 +08} + {591130800 25200 0 +07} + {606855600 28800 1 +08} + {622580400 25200 0 +07} + {638305200 28800 1 +08} + {654634800 25200 0 +07} + {670359600 28800 1 +08} + {686084400 25200 0 +07} + {701798400 28800 1 +08} + {717519600 25200 0 +07} + {733258800 28800 1 +08} + {748983600 25200 0 +07} + {764708400 28800 1 +08} + {780433200 25200 0 +07} + {796158000 28800 1 +08} + {801594000 25200 0 +07} + {811886400 21600 0 +06} + {828216000 25200 1 +07} + {846360000 21600 0 +06} + {859665600 25200 1 +07} + {877809600 21600 0 +06} + {891115200 25200 1 +07} + {909259200 21600 0 +06} + {922564800 25200 1 +07} + {941313600 21600 0 +06} + {954014400 25200 1 +07} + {972763200 21600 0 +06} + {985464000 25200 1 +07} + {1004212800 21600 0 +06} + {1017518400 25200 1 +07} + {1035662400 21600 0 +06} + {1048968000 25200 1 +07} + {1067112000 21600 0 +06} + {1080417600 25200 1 +07} + {1099166400 21600 0 +06} + {1111867200 25200 1 +07} + {1130616000 21600 0 +06} + {1143316800 25200 1 +07} + {1162065600 21600 0 +06} + {1174766400 25200 1 +07} + {1193515200 21600 0 +06} + {1206820800 25200 1 +07} + {1224964800 21600 0 +06} + {1238270400 25200 1 +07} + {1256414400 21600 0 +06} + {1269720000 25200 1 +07} + {1288468800 21600 0 +06} + {1301169600 25200 0 +07} + {1414263600 21600 0 +06} + {1459022400 25200 0 +07} +} diff --git a/library/tzdata/Asia/Gaza b/library/tzdata/Asia/Gaza index 805b6b7..6adfe6d 100644 --- a/library/tzdata/Asia/Gaza +++ b/library/tzdata/Asia/Gaza @@ -107,172 +107,172 @@ set TZData(:Asia/Gaza) { {1414098000 7200 0 EET} {1427493600 10800 1 EEST} {1445547600 7200 0 EET} - {1458943200 10800 1 EEST} + {1458946800 10800 1 EEST} {1476997200 7200 0 EET} - {1490997600 10800 1 EEST} + {1490396400 10800 1 EEST} {1509051600 7200 0 EET} - {1522447200 10800 1 EEST} + {1522450800 10800 1 EEST} {1540501200 7200 0 EET} - {1553896800 10800 1 EEST} + {1553900400 10800 1 EEST} {1571950800 7200 0 EET} - {1585346400 10800 1 EEST} + {1585350000 10800 1 EEST} {1603400400 7200 0 EET} - {1616796000 10800 1 EEST} + {1616799600 10800 1 EEST} {1634850000 7200 0 EET} - {1648245600 10800 1 EEST} + {1648249200 10800 1 EEST} {1666299600 7200 0 EET} - {1680300000 10800 1 EEST} + {1679698800 10800 1 EEST} {1698354000 7200 0 EET} - {1711749600 10800 1 EEST} + {1711753200 10800 1 EEST} {1729803600 7200 0 EET} - {1743199200 10800 1 EEST} + {1743202800 10800 1 EEST} {1761253200 7200 0 EET} - {1774648800 10800 1 EEST} + {1774652400 10800 1 EEST} {1792702800 7200 0 EET} - {1806098400 10800 1 EEST} + {1806102000 10800 1 EEST} {1824152400 7200 0 EET} - {1838152800 10800 1 EEST} + {1837551600 10800 1 EEST} {1856206800 7200 0 EET} - {1869602400 10800 1 EEST} + {1869606000 10800 1 EEST} {1887656400 7200 0 EET} - {1901052000 10800 1 EEST} + {1901055600 10800 1 EEST} {1919106000 7200 0 EET} - {1932501600 10800 1 EEST} + {1932505200 10800 1 EEST} {1950555600 7200 0 EET} - {1963951200 10800 1 EEST} + {1963954800 10800 1 EEST} {1982005200 7200 0 EET} - {1995400800 10800 1 EEST} + {1995404400 10800 1 EEST} {2013454800 7200 0 EET} - {2027455200 10800 1 EEST} + {2026854000 10800 1 EEST} {2045509200 7200 0 EET} - {2058904800 10800 1 EEST} + {2058908400 10800 1 EEST} {2076958800 7200 0 EET} - {2090354400 10800 1 EEST} + {2090358000 10800 1 EEST} {2108408400 7200 0 EET} - {2121804000 10800 1 EEST} + {2121807600 10800 1 EEST} {2139858000 7200 0 EET} - {2153253600 10800 1 EEST} + {2153257200 10800 1 EEST} {2171307600 7200 0 EET} - {2184703200 10800 1 EEST} + {2184706800 10800 1 EEST} {2202757200 7200 0 EET} - {2216757600 10800 1 EEST} + {2216761200 10800 1 EEST} {2234811600 7200 0 EET} - {2248207200 10800 1 EEST} + {2248210800 10800 1 EEST} {2266261200 7200 0 EET} - {2279656800 10800 1 EEST} + {2279660400 10800 1 EEST} {2297710800 7200 0 EET} - {2311106400 10800 1 EEST} + {2311110000 10800 1 EEST} {2329160400 7200 0 EET} - {2342556000 10800 1 EEST} + {2342559600 10800 1 EEST} {2360610000 7200 0 EET} - {2374610400 10800 1 EEST} + {2374009200 10800 1 EEST} {2392664400 7200 0 EET} - {2406060000 10800 1 EEST} + {2406063600 10800 1 EEST} {2424114000 7200 0 EET} - {2437509600 10800 1 EEST} + {2437513200 10800 1 EEST} {2455563600 7200 0 EET} - {2468959200 10800 1 EEST} + {2468962800 10800 1 EEST} {2487013200 7200 0 EET} - {2500408800 10800 1 EEST} + {2500412400 10800 1 EEST} {2518462800 7200 0 EET} - {2531858400 10800 1 EEST} + {2531862000 10800 1 EEST} {2549912400 7200 0 EET} - {2563912800 10800 1 EEST} + {2563311600 10800 1 EEST} {2581966800 7200 0 EET} - {2595362400 10800 1 EEST} + {2595366000 10800 1 EEST} {2613416400 7200 0 EET} - {2626812000 10800 1 EEST} + {2626815600 10800 1 EEST} {2644866000 7200 0 EET} - {2658261600 10800 1 EEST} + {2658265200 10800 1 EEST} {2676315600 7200 0 EET} - {2689711200 10800 1 EEST} + {2689714800 10800 1 EEST} {2707765200 7200 0 EET} - {2721765600 10800 1 EEST} + {2721164400 10800 1 EEST} {2739819600 7200 0 EET} - {2753215200 10800 1 EEST} + {2753218800 10800 1 EEST} {2771269200 7200 0 EET} - {2784664800 10800 1 EEST} + {2784668400 10800 1 EEST} {2802718800 7200 0 EET} - {2816114400 10800 1 EEST} + {2816118000 10800 1 EEST} {2834168400 7200 0 EET} - {2847564000 10800 1 EEST} + {2847567600 10800 1 EEST} {2865618000 7200 0 EET} - {2879013600 10800 1 EEST} + {2879017200 10800 1 EEST} {2897067600 7200 0 EET} - {2911068000 10800 1 EEST} + {2910466800 10800 1 EEST} {2929122000 7200 0 EET} - {2942517600 10800 1 EEST} + {2942521200 10800 1 EEST} {2960571600 7200 0 EET} - {2973967200 10800 1 EEST} + {2973970800 10800 1 EEST} {2992021200 7200 0 EET} - {3005416800 10800 1 EEST} + {3005420400 10800 1 EEST} {3023470800 7200 0 EET} - {3036866400 10800 1 EEST} + {3036870000 10800 1 EEST} {3054920400 7200 0 EET} - {3068316000 10800 1 EEST} + {3068319600 10800 1 EEST} {3086370000 7200 0 EET} - {3100370400 10800 1 EEST} + {3100374000 10800 1 EEST} {3118424400 7200 0 EET} - {3131820000 10800 1 EEST} + {3131823600 10800 1 EEST} {3149874000 7200 0 EET} - {3163269600 10800 1 EEST} + {3163273200 10800 1 EEST} {3181323600 7200 0 EET} - {3194719200 10800 1 EEST} + {3194722800 10800 1 EEST} {3212773200 7200 0 EET} - {3226168800 10800 1 EEST} + {3226172400 10800 1 EEST} {3244222800 7200 0 EET} - {3258223200 10800 1 EEST} + {3257622000 10800 1 EEST} {3276277200 7200 0 EET} - {3289672800 10800 1 EEST} + {3289676400 10800 1 EEST} {3307726800 7200 0 EET} - {3321122400 10800 1 EEST} + {3321126000 10800 1 EEST} {3339176400 7200 0 EET} - {3352572000 10800 1 EEST} + {3352575600 10800 1 EEST} {3370626000 7200 0 EET} - {3384021600 10800 1 EEST} + {3384025200 10800 1 EEST} {3402075600 7200 0 EET} - {3415471200 10800 1 EEST} + {3415474800 10800 1 EEST} {3433525200 7200 0 EET} - {3447525600 10800 1 EEST} + {3446924400 10800 1 EEST} {3465579600 7200 0 EET} - {3478975200 10800 1 EEST} + {3478978800 10800 1 EEST} {3497029200 7200 0 EET} - {3510424800 10800 1 EEST} + {3510428400 10800 1 EEST} {3528478800 7200 0 EET} - {3541874400 10800 1 EEST} + {3541878000 10800 1 EEST} {3559928400 7200 0 EET} - {3573324000 10800 1 EEST} + {3573327600 10800 1 EEST} {3591378000 7200 0 EET} - {3605378400 10800 1 EEST} + {3604777200 10800 1 EEST} {3623432400 7200 0 EET} - {3636828000 10800 1 EEST} + {3636831600 10800 1 EEST} {3654882000 7200 0 EET} - {3668277600 10800 1 EEST} + {3668281200 10800 1 EEST} {3686331600 7200 0 EET} - {3699727200 10800 1 EEST} + {3699730800 10800 1 EEST} {3717781200 7200 0 EET} - {3731176800 10800 1 EEST} + {3731180400 10800 1 EEST} {3749230800 7200 0 EET} - {3762626400 10800 1 EEST} + {3762630000 10800 1 EEST} {3780680400 7200 0 EET} - {3794680800 10800 1 EEST} + {3794079600 10800 1 EEST} {3812734800 7200 0 EET} - {3826130400 10800 1 EEST} + {3826134000 10800 1 EEST} {3844184400 7200 0 EET} - {3857580000 10800 1 EEST} + {3857583600 10800 1 EEST} {3875634000 7200 0 EET} - {3889029600 10800 1 EEST} + {3889033200 10800 1 EEST} {3907083600 7200 0 EET} - {3920479200 10800 1 EEST} + {3920482800 10800 1 EEST} {3938533200 7200 0 EET} - {3951928800 10800 1 EEST} + {3951932400 10800 1 EEST} {3969982800 7200 0 EET} - {3983983200 10800 1 EEST} + {3983986800 10800 1 EEST} {4002037200 7200 0 EET} - {4015432800 10800 1 EEST} + {4015436400 10800 1 EEST} {4033486800 7200 0 EET} - {4046882400 10800 1 EEST} + {4046886000 10800 1 EEST} {4064936400 7200 0 EET} - {4078332000 10800 1 EEST} + {4078335600 10800 1 EEST} {4096386000 7200 0 EET} } diff --git a/library/tzdata/Asia/Hebron b/library/tzdata/Asia/Hebron index 9049d93..2db45f2 100644 --- a/library/tzdata/Asia/Hebron +++ b/library/tzdata/Asia/Hebron @@ -106,172 +106,172 @@ set TZData(:Asia/Hebron) { {1414098000 7200 0 EET} {1427493600 10800 1 EEST} {1445547600 7200 0 EET} - {1458943200 10800 1 EEST} + {1458946800 10800 1 EEST} {1476997200 7200 0 EET} - {1490997600 10800 1 EEST} + {1490396400 10800 1 EEST} {1509051600 7200 0 EET} - {1522447200 10800 1 EEST} + {1522450800 10800 1 EEST} {1540501200 7200 0 EET} - {1553896800 10800 1 EEST} + {1553900400 10800 1 EEST} {1571950800 7200 0 EET} - {1585346400 10800 1 EEST} + {1585350000 10800 1 EEST} {1603400400 7200 0 EET} - {1616796000 10800 1 EEST} + {1616799600 10800 1 EEST} {1634850000 7200 0 EET} - {1648245600 10800 1 EEST} + {1648249200 10800 1 EEST} {1666299600 7200 0 EET} - {1680300000 10800 1 EEST} + {1679698800 10800 1 EEST} {1698354000 7200 0 EET} - {1711749600 10800 1 EEST} + {1711753200 10800 1 EEST} {1729803600 7200 0 EET} - {1743199200 10800 1 EEST} + {1743202800 10800 1 EEST} {1761253200 7200 0 EET} - {1774648800 10800 1 EEST} + {1774652400 10800 1 EEST} {1792702800 7200 0 EET} - {1806098400 10800 1 EEST} + {1806102000 10800 1 EEST} {1824152400 7200 0 EET} - {1838152800 10800 1 EEST} + {1837551600 10800 1 EEST} {1856206800 7200 0 EET} - {1869602400 10800 1 EEST} + {1869606000 10800 1 EEST} {1887656400 7200 0 EET} - {1901052000 10800 1 EEST} + {1901055600 10800 1 EEST} {1919106000 7200 0 EET} - {1932501600 10800 1 EEST} + {1932505200 10800 1 EEST} {1950555600 7200 0 EET} - {1963951200 10800 1 EEST} + {1963954800 10800 1 EEST} {1982005200 7200 0 EET} - {1995400800 10800 1 EEST} + {1995404400 10800 1 EEST} {2013454800 7200 0 EET} - {2027455200 10800 1 EEST} + {2026854000 10800 1 EEST} {2045509200 7200 0 EET} - {2058904800 10800 1 EEST} + {2058908400 10800 1 EEST} {2076958800 7200 0 EET} - {2090354400 10800 1 EEST} + {2090358000 10800 1 EEST} {2108408400 7200 0 EET} - {2121804000 10800 1 EEST} + {2121807600 10800 1 EEST} {2139858000 7200 0 EET} - {2153253600 10800 1 EEST} + {2153257200 10800 1 EEST} {2171307600 7200 0 EET} - {2184703200 10800 1 EEST} + {2184706800 10800 1 EEST} {2202757200 7200 0 EET} - {2216757600 10800 1 EEST} + {2216761200 10800 1 EEST} {2234811600 7200 0 EET} - {2248207200 10800 1 EEST} + {2248210800 10800 1 EEST} {2266261200 7200 0 EET} - {2279656800 10800 1 EEST} + {2279660400 10800 1 EEST} {2297710800 7200 0 EET} - {2311106400 10800 1 EEST} + {2311110000 10800 1 EEST} {2329160400 7200 0 EET} - {2342556000 10800 1 EEST} + {2342559600 10800 1 EEST} {2360610000 7200 0 EET} - {2374610400 10800 1 EEST} + {2374009200 10800 1 EEST} {2392664400 7200 0 EET} - {2406060000 10800 1 EEST} + {2406063600 10800 1 EEST} {2424114000 7200 0 EET} - {2437509600 10800 1 EEST} + {2437513200 10800 1 EEST} {2455563600 7200 0 EET} - {2468959200 10800 1 EEST} + {2468962800 10800 1 EEST} {2487013200 7200 0 EET} - {2500408800 10800 1 EEST} + {2500412400 10800 1 EEST} {2518462800 7200 0 EET} - {2531858400 10800 1 EEST} + {2531862000 10800 1 EEST} {2549912400 7200 0 EET} - {2563912800 10800 1 EEST} + {2563311600 10800 1 EEST} {2581966800 7200 0 EET} - {2595362400 10800 1 EEST} + {2595366000 10800 1 EEST} {2613416400 7200 0 EET} - {2626812000 10800 1 EEST} + {2626815600 10800 1 EEST} {2644866000 7200 0 EET} - {2658261600 10800 1 EEST} + {2658265200 10800 1 EEST} {2676315600 7200 0 EET} - {2689711200 10800 1 EEST} + {2689714800 10800 1 EEST} {2707765200 7200 0 EET} - {2721765600 10800 1 EEST} + {2721164400 10800 1 EEST} {2739819600 7200 0 EET} - {2753215200 10800 1 EEST} + {2753218800 10800 1 EEST} {2771269200 7200 0 EET} - {2784664800 10800 1 EEST} + {2784668400 10800 1 EEST} {2802718800 7200 0 EET} - {2816114400 10800 1 EEST} + {2816118000 10800 1 EEST} {2834168400 7200 0 EET} - {2847564000 10800 1 EEST} + {2847567600 10800 1 EEST} {2865618000 7200 0 EET} - {2879013600 10800 1 EEST} + {2879017200 10800 1 EEST} {2897067600 7200 0 EET} - {2911068000 10800 1 EEST} + {2910466800 10800 1 EEST} {2929122000 7200 0 EET} - {2942517600 10800 1 EEST} + {2942521200 10800 1 EEST} {2960571600 7200 0 EET} - {2973967200 10800 1 EEST} + {2973970800 10800 1 EEST} {2992021200 7200 0 EET} - {3005416800 10800 1 EEST} + {3005420400 10800 1 EEST} {3023470800 7200 0 EET} - {3036866400 10800 1 EEST} + {3036870000 10800 1 EEST} {3054920400 7200 0 EET} - {3068316000 10800 1 EEST} + {3068319600 10800 1 EEST} {3086370000 7200 0 EET} - {3100370400 10800 1 EEST} + {3100374000 10800 1 EEST} {3118424400 7200 0 EET} - {3131820000 10800 1 EEST} + {3131823600 10800 1 EEST} {3149874000 7200 0 EET} - {3163269600 10800 1 EEST} + {3163273200 10800 1 EEST} {3181323600 7200 0 EET} - {3194719200 10800 1 EEST} + {3194722800 10800 1 EEST} {3212773200 7200 0 EET} - {3226168800 10800 1 EEST} + {3226172400 10800 1 EEST} {3244222800 7200 0 EET} - {3258223200 10800 1 EEST} + {3257622000 10800 1 EEST} {3276277200 7200 0 EET} - {3289672800 10800 1 EEST} + {3289676400 10800 1 EEST} {3307726800 7200 0 EET} - {3321122400 10800 1 EEST} + {3321126000 10800 1 EEST} {3339176400 7200 0 EET} - {3352572000 10800 1 EEST} + {3352575600 10800 1 EEST} {3370626000 7200 0 EET} - {3384021600 10800 1 EEST} + {3384025200 10800 1 EEST} {3402075600 7200 0 EET} - {3415471200 10800 1 EEST} + {3415474800 10800 1 EEST} {3433525200 7200 0 EET} - {3447525600 10800 1 EEST} + {3446924400 10800 1 EEST} {3465579600 7200 0 EET} - {3478975200 10800 1 EEST} + {3478978800 10800 1 EEST} {3497029200 7200 0 EET} - {3510424800 10800 1 EEST} + {3510428400 10800 1 EEST} {3528478800 7200 0 EET} - {3541874400 10800 1 EEST} + {3541878000 10800 1 EEST} {3559928400 7200 0 EET} - {3573324000 10800 1 EEST} + {3573327600 10800 1 EEST} {3591378000 7200 0 EET} - {3605378400 10800 1 EEST} + {3604777200 10800 1 EEST} {3623432400 7200 0 EET} - {3636828000 10800 1 EEST} + {3636831600 10800 1 EEST} {3654882000 7200 0 EET} - {3668277600 10800 1 EEST} + {3668281200 10800 1 EEST} {3686331600 7200 0 EET} - {3699727200 10800 1 EEST} + {3699730800 10800 1 EEST} {3717781200 7200 0 EET} - {3731176800 10800 1 EEST} + {3731180400 10800 1 EEST} {3749230800 7200 0 EET} - {3762626400 10800 1 EEST} + {3762630000 10800 1 EEST} {3780680400 7200 0 EET} - {3794680800 10800 1 EEST} + {3794079600 10800 1 EEST} {3812734800 7200 0 EET} - {3826130400 10800 1 EEST} + {3826134000 10800 1 EEST} {3844184400 7200 0 EET} - {3857580000 10800 1 EEST} + {3857583600 10800 1 EEST} {3875634000 7200 0 EET} - {3889029600 10800 1 EEST} + {3889033200 10800 1 EEST} {3907083600 7200 0 EET} - {3920479200 10800 1 EEST} + {3920482800 10800 1 EEST} {3938533200 7200 0 EET} - {3951928800 10800 1 EEST} + {3951932400 10800 1 EEST} {3969982800 7200 0 EET} - {3983983200 10800 1 EEST} + {3983986800 10800 1 EEST} {4002037200 7200 0 EET} - {4015432800 10800 1 EEST} + {4015436400 10800 1 EEST} {4033486800 7200 0 EET} - {4046882400 10800 1 EEST} + {4046886000 10800 1 EEST} {4064936400 7200 0 EET} - {4078332000 10800 1 EEST} + {4078335600 10800 1 EEST} {4096386000 7200 0 EET} } diff --git a/library/tzdata/Asia/Sakhalin b/library/tzdata/Asia/Sakhalin index eed20ba..9247046 100644 --- a/library/tzdata/Asia/Sakhalin +++ b/library/tzdata/Asia/Sakhalin @@ -70,4 +70,5 @@ set TZData(:Asia/Sakhalin) { {1288454400 36000 0 SAKT} {1301155200 39600 0 SAKT} {1414249200 36000 0 SAKT} + {1459008000 39600 0 SAKT} } diff --git a/library/tzdata/Europe/Astrakhan b/library/tzdata/Europe/Astrakhan new file mode 100644 index 0000000..e5e9c26 --- /dev/null +++ b/library/tzdata/Europe/Astrakhan @@ -0,0 +1,70 @@ +# created by tools/tclZIC.tcl - do not edit + +set TZData(:Europe/Astrakhan) { + {-9223372036854775808 11532 0 LMT} + {-1441249932 10800 0 +03} + {-1247540400 14400 0 +05} + {354916800 18000 1 +05} + {370724400 14400 0 +04} + {386452800 18000 1 +05} + {402260400 14400 0 +04} + {417988800 18000 1 +05} + {433796400 14400 0 +04} + {449611200 18000 1 +05} + {465343200 14400 0 +04} + {481068000 18000 1 +05} + {496792800 14400 0 +04} + {512517600 18000 1 +05} + {528242400 14400 0 +04} + {543967200 18000 1 +05} + {559692000 14400 0 +04} + {575416800 18000 1 +05} + {591141600 14400 0 +04} + {606866400 10800 0 +04} + {606870000 14400 1 +04} + {622594800 10800 0 +03} + {638319600 14400 1 +04} + {654649200 10800 0 +03} + {670374000 14400 0 +04} + {701820000 14400 0 +04} + {717534000 10800 0 +03} + {733273200 14400 1 +04} + {748998000 10800 0 +03} + {764722800 14400 1 +04} + {780447600 10800 0 +03} + {796172400 14400 1 +04} + {811897200 10800 0 +03} + {828226800 14400 1 +04} + {846370800 10800 0 +03} + {859676400 14400 1 +04} + {877820400 10800 0 +03} + {891126000 14400 1 +04} + {909270000 10800 0 +03} + {922575600 14400 1 +04} + {941324400 10800 0 +03} + {954025200 14400 1 +04} + {972774000 10800 0 +03} + {985474800 14400 1 +04} + {1004223600 10800 0 +03} + {1017529200 14400 1 +04} + {1035673200 10800 0 +03} + {1048978800 14400 1 +04} + {1067122800 10800 0 +03} + {1080428400 14400 1 +04} + {1099177200 10800 0 +03} + {1111878000 14400 1 +04} + {1130626800 10800 0 +03} + {1143327600 14400 1 +04} + {1162076400 10800 0 +03} + {1174777200 14400 1 +04} + {1193526000 10800 0 +03} + {1206831600 14400 1 +04} + {1224975600 10800 0 +03} + {1238281200 14400 1 +04} + {1256425200 10800 0 +03} + {1269730800 14400 1 +04} + {1288479600 10800 0 +03} + {1301180400 14400 0 +04} + {1414274400 10800 0 +03} + {1459033200 14400 0 +04} +} diff --git a/library/tzdata/Europe/Chisinau b/library/tzdata/Europe/Chisinau index 5c240e7..db4c6db 100644 --- a/library/tzdata/Europe/Chisinau +++ b/library/tzdata/Europe/Chisinau @@ -46,9 +46,9 @@ set TZData(:Europe/Chisinau) { {591145200 10800 0 MSK} {606870000 14400 1 MSD} {622594800 10800 0 MSK} - {631141200 10800 0 MSK} - {641941200 7200 0 EET} - {662680800 7200 0 EEMMTT} + {638319600 14400 1 MSD} + {641948400 10800 0 EEST} + {654652800 7200 0 EET} {670377600 10800 1 EEST} {686102400 7200 0 EET} {694216800 7200 0 EET} diff --git a/library/tzdata/Europe/Samara b/library/tzdata/Europe/Samara index ee9d989..47615de 100644 --- a/library/tzdata/Europe/Samara +++ b/library/tzdata/Europe/Samara @@ -28,7 +28,7 @@ set TZData(:Europe/Samara) { {654649200 10800 0 MSK} {670374000 7200 0 EEMMTT} {670377600 10800 1 EEST} - {686102400 10800 0 KUYT} + {686102400 10800 0 SAMT} {687916800 14400 0 SAMT} {701809200 18000 1 SAMST} {717530400 14400 0 SAMT} diff --git a/library/tzdata/Europe/Ulyanovsk b/library/tzdata/Europe/Ulyanovsk new file mode 100644 index 0000000..b975622 --- /dev/null +++ b/library/tzdata/Europe/Ulyanovsk @@ -0,0 +1,73 @@ +# created by tools/tclZIC.tcl - do not edit + +set TZData(:Europe/Ulyanovsk) { + {-9223372036854775808 11616 0 LMT} + {-1593825216 10800 0 +03} + {-1247540400 14400 0 +05} + {354916800 18000 1 +05} + {370724400 14400 0 +04} + {386452800 18000 1 +05} + {402260400 14400 0 +04} + {417988800 18000 1 +05} + {433796400 14400 0 +04} + {449611200 18000 1 +05} + {465343200 14400 0 +04} + {481068000 18000 1 +05} + {496792800 14400 0 +04} + {512517600 18000 1 +05} + {528242400 14400 0 +04} + {543967200 18000 1 +05} + {559692000 14400 0 +04} + {575416800 18000 1 +05} + {591141600 14400 0 +04} + {606866400 10800 0 +04} + {606870000 14400 1 +04} + {622594800 10800 0 +03} + {638319600 14400 1 +04} + {654649200 10800 0 +03} + {670374000 7200 0 +03} + {670377600 10800 1 +03} + {686102400 7200 0 +02} + {695779200 10800 0 +04} + {701812800 14400 1 +04} + {717534000 10800 0 +03} + {733273200 14400 1 +04} + {748998000 10800 0 +03} + {764722800 14400 1 +04} + {780447600 10800 0 +03} + {796172400 14400 1 +04} + {811897200 10800 0 +03} + {828226800 14400 1 +04} + {846370800 10800 0 +03} + {859676400 14400 1 +04} + {877820400 10800 0 +03} + {891126000 14400 1 +04} + {909270000 10800 0 +03} + {922575600 14400 1 +04} + {941324400 10800 0 +03} + {954025200 14400 1 +04} + {972774000 10800 0 +03} + {985474800 14400 1 +04} + {1004223600 10800 0 +03} + {1017529200 14400 1 +04} + {1035673200 10800 0 +03} + {1048978800 14400 1 +04} + {1067122800 10800 0 +03} + {1080428400 14400 1 +04} + {1099177200 10800 0 +03} + {1111878000 14400 1 +04} + {1130626800 10800 0 +03} + {1143327600 14400 1 +04} + {1162076400 10800 0 +03} + {1174777200 14400 1 +04} + {1193526000 10800 0 +03} + {1206831600 14400 1 +04} + {1224975600 10800 0 +03} + {1238281200 14400 1 +04} + {1256425200 10800 0 +03} + {1269730800 14400 1 +04} + {1288479600 10800 0 +03} + {1301180400 14400 0 +04} + {1414274400 10800 0 +03} + {1459033200 14400 0 +04} +} -- cgit v0.12 From bfa7cb3c5d224a86a6136bc063018638eb3b9a0b Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 17 Mar 2016 13:14:22 +0000 Subject: [ae38befcfb] Rewrite TclGetInnermostExceptionRange() for fewer iterations. --- generic/tclCompile.c | 21 ++++++++++----------- 1 file changed, 10 insertions(+), 11 deletions(-) diff --git a/generic/tclCompile.c b/generic/tclCompile.c index 4c259ab..c0b5dcc 100644 --- a/generic/tclCompile.c +++ b/generic/tclCompile.c @@ -3360,26 +3360,25 @@ TclGetInnermostExceptionRange( int returnCode, ExceptionAux **auxPtrPtr) { - int exnIdx = -1, i; + int i = envPtr->exceptArrayNext; + ExceptionRange *rangePtr = envPtr->exceptArrayPtr + i; - for (i=0 ; iexceptArrayNext ; i++) { - ExceptionRange *rangePtr = &envPtr->exceptArrayPtr[i]; + while (i > 0) { + rangePtr--; i--; if (CurrentOffset(envPtr) >= rangePtr->codeOffset && (rangePtr->numCodeBytes == -1 || CurrentOffset(envPtr) < rangePtr->codeOffset+rangePtr->numCodeBytes) && (returnCode != TCL_CONTINUE || envPtr->exceptAuxArrayPtr[i].supportsContinue)) { - exnIdx = i; + + if (auxPtrPtr) { + *auxPtrPtr = envPtr->exceptAuxArrayPtr + i; + } + return rangePtr; } } - if (exnIdx == -1) { - return NULL; - } - if (auxPtrPtr) { - *auxPtrPtr = &envPtr->exceptAuxArrayPtr[exnIdx]; - } - return &envPtr->exceptArrayPtr[exnIdx]; + return NULL; } /* -- cgit v0.12 From 01d1cdb5e8789884ae310c5e38fb976559157460 Mon Sep 17 00:00:00 2001 From: dkf Date: Sun, 20 Mar 2016 20:40:07 +0000 Subject: [1af8de570511] Fix crash in [string replace] caused by cut-n-paste. --- generic/tclExecute.c | 35 +++++++++++++---------------------- tests/stringComp.test | 10 ++++++++++ 2 files changed, 23 insertions(+), 22 deletions(-) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index dacc9e2..c43cc40 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -5737,6 +5737,17 @@ TEBCresume( if (length3 - 1 == toIdx - fromIdx) { unsigned char *bytes1, *bytes2; + /* + * Flush the info in the string internal rep that refers to the + * about-to-be-invalidated UTF-8 rep. This sets the 'allocated' + * field of the String structure to 0 to indicate that a new + * buffer needs to be allocated. This assumes that the value is + * already of tclStringTypePtr type, which should be true provided + * we call it after Tcl_GetUnicodeFromObj. + */ +#define MarkStringInternalRepForFlush(objPtr) \ + (((int *) ((objPtr)->internalRep.twoPtrValue.ptr1))[1] = 0) + if (Tcl_IsShared(valuePtr)) { objResultPtr = Tcl_DuplicateObj(valuePtr); if (TclIsPureByteArray(objResultPtr) @@ -5749,17 +5760,7 @@ TEBCresume( ustring2 = Tcl_GetUnicodeFromObj(value3Ptr, NULL); memcpy(ustring1 + fromIdx, ustring2, length3 * sizeof(Tcl_UniChar)); - - /* - * Magic! Flush the info in the string internal rep that - * refers to the about-to-be-invalidated UTF-8 rep. This - * sets the 'allocated' field of the String structure to 0 - * to indicate that a new buffer needs to be allocated. - * This is safe; we know we've got a tclStringTypePtr set - * at this point (post Tcl_GetUnicodeFromObj). - */ - - ((int *) objResultPtr->internalRep.twoPtrValue.ptr1)[1] = 0; + MarkStringInternalRepForFlush(objResultPtr); } Tcl_InvalidateStringRep(objResultPtr); TclDecrRefCount(value3Ptr); @@ -5776,17 +5777,7 @@ TEBCresume( ustring2 = Tcl_GetUnicodeFromObj(value3Ptr, NULL); memcpy(ustring1 + fromIdx, ustring2, length3 * sizeof(Tcl_UniChar)); - - /* - * Magic! Flush the info in the string internal rep that - * refers to the about-to-be-invalidated UTF-8 rep. This - * sets the 'allocated' field of the String structure to 0 - * to indicate that a new buffer needs to be allocated. - * This is safe; we know we've got a tclStringTypePtr set - * at this point (post Tcl_GetUnicodeFromObj). - */ - - ((int *) objResultPtr->internalRep.twoPtrValue.ptr1)[1] = 0; + MarkStringInternalRepForFlush(valuePtr); } Tcl_InvalidateStringRep(valuePtr); TclDecrRefCount(value3Ptr); diff --git a/tests/stringComp.test b/tests/stringComp.test index a66525e..140a270 100644 --- a/tests/stringComp.test +++ b/tests/stringComp.test @@ -728,6 +728,16 @@ test stringComp-14.3 {Bug 0dca3bfa8f} { expr {$arg ne $argCopy} }} abcde } 1 +test stringComp-14.4 {Bug 1af8de570511} { + apply {{x y} { + # Generate an unshared string value + set val "" + for { set i 0 } { $i < $x } { incr i } { + set val [format "0%s" $val] + } + string replace $val[unset val] 1 1 $y + }} 4 x +} 0x00 ## string tolower ## not yet bc -- cgit v0.12 From d291d84481a5f1d56df04bfffcd53fae1a5c8a00 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 21 Mar 2016 09:05:34 +0000 Subject: Proposed fix for [d3071887dbc7aeac]: Fix SEGV in Tcl_FinalizeNotifier() --- unix/tclUnixNotfy.c | 2 ++ 1 file changed, 2 insertions(+) diff --git a/unix/tclUnixNotfy.c b/unix/tclUnixNotfy.c index 48ba0cc..3946c7d 100644 --- a/unix/tclUnixNotfy.c +++ b/unix/tclUnixNotfy.c @@ -433,9 +433,11 @@ Tcl_FinalizeNotifier( "unable to write q to triggerPipe"); } close(triggerPipe); + pthread_mutex_lock(¬ifierMutex); while(triggerPipe != -1) { pthread_cond_wait(¬ifierCV, ¬ifierMutex); } + pthread_mutex_lock(¬ifierMutex); if (notifierThreadRunning) { int result = pthread_join((pthread_t) notifierThread, NULL); -- cgit v0.12 From c031c59ec3e4290d29f9c819b2640e90a176ad13 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 21 Mar 2016 09:16:28 +0000 Subject: .... oops .... --- unix/tclUnixNotfy.c | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/unix/tclUnixNotfy.c b/unix/tclUnixNotfy.c index 3946c7d..1457890 100644 --- a/unix/tclUnixNotfy.c +++ b/unix/tclUnixNotfy.c @@ -437,7 +437,7 @@ Tcl_FinalizeNotifier( while(triggerPipe != -1) { pthread_cond_wait(¬ifierCV, ¬ifierMutex); } - pthread_mutex_lock(¬ifierMutex); + pthread_mutex_unlock(¬ifierMutex); if (notifierThreadRunning) { int result = pthread_join((pthread_t) notifierThread, NULL); -- cgit v0.12 From 72376991f5c43b445f266ab25f73c1c41d6393f0 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 21 Mar 2016 12:03:17 +0000 Subject: (cherry-pick): Fix [d3071887dbc7aeac]: Fix SEGV in Tcl_FinalizeNotifier(). Thanks to hirofumi for both the bug-report and the fix --- unix/tclUnixNotfy.c | 2 ++ 1 file changed, 2 insertions(+) diff --git a/unix/tclUnixNotfy.c b/unix/tclUnixNotfy.c index 48ba0cc..1457890 100644 --- a/unix/tclUnixNotfy.c +++ b/unix/tclUnixNotfy.c @@ -433,9 +433,11 @@ Tcl_FinalizeNotifier( "unable to write q to triggerPipe"); } close(triggerPipe); + pthread_mutex_lock(¬ifierMutex); while(triggerPipe != -1) { pthread_cond_wait(¬ifierCV, ¬ifierMutex); } + pthread_mutex_unlock(¬ifierMutex); if (notifierThreadRunning) { int result = pthread_join((pthread_t) notifierThread, NULL); -- cgit v0.12 From 06831f3ce25bb5b9778c4de1ad35dd50ed6b7b32 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 21 Mar 2016 12:08:34 +0000 Subject: (cherry-pick): Fix [d3071887dbc7aeac]: Fix SEGV in Tcl_FinalizeNotifier(). Thanks to hirofumi for both the bug-report and the fix --- unix/tclUnixNotfy.c | 2 ++ 1 file changed, 2 insertions(+) diff --git a/unix/tclUnixNotfy.c b/unix/tclUnixNotfy.c index a57a89a..e7ea7a1 100644 --- a/unix/tclUnixNotfy.c +++ b/unix/tclUnixNotfy.c @@ -432,9 +432,11 @@ Tcl_FinalizeNotifier( "unable to write q to triggerPipe"); } close(triggerPipe); + pthread_mutex_lock(¬ifierMutex); while(triggerPipe != -1) { pthread_cond_wait(¬ifierCV, ¬ifierMutex); } + pthread_mutex_unlock(¬ifierMutex); if (notifierThreadRunning) { int result = pthread_join((pthread_t) notifierThread, NULL); -- cgit v0.12 From a4933e22d0b56bf07cf35cb90eb1f6fd6c9e48cb Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 21 Mar 2016 14:22:52 +0000 Subject: (experiment) Use TclpMasterLock() in stead of a separate notifierInitMutex. One less mutex to be worried about. --- generic/tclInt.h | 1 + unix/tclUnixNotfy.c | 21 ++++++++++----------- unix/tclUnixThrd.c | 25 +++++++++++++++++++++++++ win/tclWinNotify.c | 26 ++++++++++++++++++-------- 4 files changed, 54 insertions(+), 19 deletions(-) diff --git a/generic/tclInt.h b/generic/tclInt.h index 42c13dd..da792aa 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -3059,6 +3059,7 @@ MODULE_SCOPE void TclpInitUnlock(void); MODULE_SCOPE Tcl_Obj * TclpObjListVolumes(void); MODULE_SCOPE void TclpMasterLock(void); MODULE_SCOPE void TclpMasterUnlock(void); +MODULE_SCOPE void TclpMasterReset(void); MODULE_SCOPE int TclpMatchFiles(Tcl_Interp *interp, char *separators, Tcl_DString *dirPtr, char *pattern, char *tail); MODULE_SCOPE int TclpObjNormalizePath(Tcl_Interp *interp, diff --git a/unix/tclUnixNotfy.c b/unix/tclUnixNotfy.c index 1457890..ca6a7ef 100644 --- a/unix/tclUnixNotfy.c +++ b/unix/tclUnixNotfy.c @@ -152,7 +152,6 @@ static int triggerPipe = -1; * The notifierMutex locks access to all of the global notifier state. */ -pthread_mutex_t notifierInitMutex = PTHREAD_MUTEX_INITIALIZER; pthread_mutex_t notifierMutex = PTHREAD_MUTEX_INITIALIZER; /* * The following static indicates if the notifier thread is running. @@ -281,7 +280,7 @@ static void StartNotifierThread(const char *proc) { if (!notifierThreadRunning) { - pthread_mutex_lock(¬ifierInitMutex); + TclpMasterLock(); if (!notifierThreadRunning) { if (TclpThreadCreate(¬ifierThread, NotifierThreadProc, NULL, TCL_THREAD_STACK_DEFAULT, TCL_THREAD_JOINABLE) != TCL_OK) { @@ -300,7 +299,7 @@ StartNotifierThread(const char *proc) notifierThreadRunning = 1; } - pthread_mutex_unlock(¬ifierInitMutex); + TclpMasterUnlock(); } } #endif /* TCL_THREADS */ @@ -362,7 +361,7 @@ Tcl_InitNotifier(void) tsdPtr->waitCVinitialized = 1; } - pthread_mutex_lock(¬ifierInitMutex); + TclpMasterLock(); #if defined(HAVE_PTHREAD_ATFORK) /* * Install pthread_atfork handlers to clean up the notifier in the @@ -381,7 +380,7 @@ Tcl_InitNotifier(void) notifierCount++; - pthread_mutex_unlock(¬ifierInitMutex); + TclpMasterUnlock(); #endif /* TCL_THREADS */ return tsdPtr; @@ -417,7 +416,7 @@ Tcl_FinalizeNotifier( #ifdef TCL_THREADS ThreadSpecificData *tsdPtr = TCL_TSD_INIT(&dataKey); - pthread_mutex_lock(¬ifierInitMutex); + TclpMasterLock(); notifierCount--; /* @@ -462,7 +461,7 @@ Tcl_FinalizeNotifier( #endif /* __CYGWIN__ */ tsdPtr->waitCVinitialized = 0; - pthread_mutex_unlock(¬ifierInitMutex); + TclpMasterUnlock(); #endif /* TCL_THREADS */ } } @@ -1368,7 +1367,7 @@ static void AtForkPrepare(void) { #if RESET_ATFORK_MUTEX == 0 - pthread_mutex_lock(¬ifierInitMutex); + TclpMasterLock(); #endif } @@ -1392,7 +1391,7 @@ static void AtForkParent(void) { #if RESET_ATFORK_MUTEX == 0 - pthread_mutex_unlock(¬ifierInitMutex); + TclpMasterUnlock(); #endif } @@ -1419,9 +1418,9 @@ AtForkChild(void) pthread_cond_destroy(¬ifierCV); } #if RESET_ATFORK_MUTEX == 0 - pthread_mutex_unlock(¬ifierInitMutex); + TclpMasterUnlock(); #else - pthread_mutex_init(¬ifierInitMutex, NULL); + TclpMasterReset(); pthread_mutex_init(¬ifierMutex, NULL); #endif pthread_cond_init(¬ifierCV, NULL); diff --git a/unix/tclUnixThrd.c b/unix/tclUnixThrd.c index 554a2dc..4130993 100644 --- a/unix/tclUnixThrd.c +++ b/unix/tclUnixThrd.c @@ -357,6 +357,31 @@ TclpMasterUnlock(void) /* *---------------------------------------------------------------------- * + * TclpMasterReset + * + * This procedure is used to reset a lock that serializes creation and + * finalization of synchronization objects. + * + * Results: + * None. + * + * Side effects: + * Reset the master mutex. + * + *---------------------------------------------------------------------- + */ + +void +TclpMasterReset(void) +{ +#ifdef TCL_THREADS + pthread_mutex_init(&masterLock, NULL); +#endif +} + +/* + *---------------------------------------------------------------------- + * * Tcl_GetAllocMutex * * This procedure returns a pointer to a statically initialized mutex for diff --git a/win/tclWinNotify.c b/win/tclWinNotify.c index 4543b02..985a769 100644 --- a/win/tclWinNotify.c +++ b/win/tclWinNotify.c @@ -51,7 +51,8 @@ static Tcl_ThreadDataKey dataKey; static int notifierCount = 0; static const TCHAR classname[] = TEXT("TclNotifier"); -TCL_DECLARE_MUTEX(notifierMutex) +static int initialized = 0; +static CRITICAL_SECTION notifierMutex; /* * Static routines defined in this file. @@ -85,12 +86,19 @@ Tcl_InitNotifier(void) ThreadSpecificData *tsdPtr = TCL_TSD_INIT(&dataKey); WNDCLASS class; + TclpMasterLock(); + if (!initialized) { + initialized = 1; + InitializeCriticalSection(¬ifierMutex); + } + TclpMasterUnlock(); + /* * Register Notifier window class if this is the first thread to use * this module. */ - Tcl_MutexLock(¬ifierMutex); + EnterCriticalSection(¬ifierMutex); if (notifierCount == 0) { class.style = 0; class.cbClsExtra = 0; @@ -108,7 +116,7 @@ Tcl_InitNotifier(void) } } notifierCount++; - Tcl_MutexUnlock(¬ifierMutex); + LeaveCriticalSection(¬ifierMutex); tsdPtr->pending = 0; tsdPtr->timerActive = 0; @@ -183,12 +191,14 @@ Tcl_FinalizeNotifier( * notifier window class. */ - Tcl_MutexLock(¬ifierMutex); - notifierCount--; - if (notifierCount == 0) { - UnregisterClass(classname, TclWinGetTclInstance()); + EnterCriticalSection(¬ifierMutex); + if (notifierCount) { + notifierCount--; + if (notifierCount == 0) { + UnregisterClass(classname, TclWinGetTclInstance()); + } } - Tcl_MutexUnlock(¬ifierMutex); + LeaveCriticalSection(¬ifierMutex); } } -- cgit v0.12 From c829651d80705243c9ea3665699f13ad901debbe Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 22 Mar 2016 09:05:10 +0000 Subject: =?UTF-8?q?Fix=20signed-unsigned-compare=20warning=20(reported=20b?= =?UTF-8?q?y=20Fran=C3=A7ois=20Vogel=20on=20Windows,=20but=20gcc=20can=20t?= =?UTF-8?q?rigger=20it=20as=20well)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- generic/tclCompExpr.c | 2 +- generic/tclEnsemble.c | 2 +- unix/configure | 2 +- unix/tcl.m4 | 2 +- win/configure | 2 +- win/tcl.m4 | 2 +- 6 files changed, 6 insertions(+), 6 deletions(-) diff --git a/generic/tclCompExpr.c b/generic/tclCompExpr.c index 50edbec..2ffcc68 100644 --- a/generic/tclCompExpr.c +++ b/generic/tclCompExpr.c @@ -666,7 +666,7 @@ ParseExpr( OpNode *newPtr = NULL; do { - if (size <= UINT_MAX/sizeof(OpNode)) { + if (size <= (int)(UINT_MAX/sizeof(OpNode))) { newPtr = attemptckrealloc(nodes, size * sizeof(OpNode)); } } while ((newPtr == NULL) diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index 986a553..6b6a156 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -3081,7 +3081,7 @@ TclAttemptCompileProc( int result, i; Tcl_Token *saveTokenPtr = parsePtr->tokenPtr; int savedStackDepth = envPtr->currStackDepth; - unsigned savedCodeNext = envPtr->codeNext - envPtr->codeStart; + int savedCodeNext = envPtr->codeNext - envPtr->codeStart; int savedAuxDataArrayNext = envPtr->auxDataArrayNext; int savedExceptArrayNext = envPtr->exceptArrayNext; #ifdef TCL_COMPILE_DEBUG diff --git a/unix/configure b/unix/configure index 3f9aa13..e999455 100755 --- a/unix/configure +++ b/unix/configure @@ -4985,7 +4985,7 @@ fi if test "$GCC" = yes; then : CFLAGS_OPTIMIZE=-O2 - CFLAGS_WARNING="-Wall" + CFLAGS_WARNING="-Wall -Wsign-compare -Wdeclaration-after-statement" else diff --git a/unix/tcl.m4 b/unix/tcl.m4 index 57d8ff0..f5aa84e 100644 --- a/unix/tcl.m4 +++ b/unix/tcl.m4 @@ -1096,7 +1096,7 @@ AC_DEFUN([SC_CONFIG_CFLAGS], [ CFLAGS_DEBUG=-g AS_IF([test "$GCC" = yes], [ CFLAGS_OPTIMIZE=-O2 - CFLAGS_WARNING="-Wall" + CFLAGS_WARNING="-Wall -Wsign-compare -Wdeclaration-after-statement" ], [ CFLAGS_OPTIMIZE=-O CFLAGS_WARNING="" diff --git a/win/configure b/win/configure index a1f57d1..73d6d9f 100755 --- a/win/configure +++ b/win/configure @@ -4165,7 +4165,7 @@ $as_echo "using shared flags" >&6; } CFLAGS_DEBUG=-g CFLAGS_OPTIMIZE="-O2 -fomit-frame-pointer" - CFLAGS_WARNING="-Wall -Wdeclaration-after-statement" + CFLAGS_WARNING="-Wall -Wsign-compare -Wdeclaration-after-statement" LDFLAGS_DEBUG= LDFLAGS_OPTIMIZE= diff --git a/win/tcl.m4 b/win/tcl.m4 index a75a936..7eff8e8 100644 --- a/win/tcl.m4 +++ b/win/tcl.m4 @@ -727,7 +727,7 @@ AC_DEFUN([SC_CONFIG_CFLAGS], [ CFLAGS_DEBUG=-g CFLAGS_OPTIMIZE="-O2 -fomit-frame-pointer" - CFLAGS_WARNING="-Wall -Wdeclaration-after-statement" + CFLAGS_WARNING="-Wall -Wsign-compare -Wdeclaration-after-statement" LDFLAGS_DEBUG= LDFLAGS_OPTIMIZE= -- cgit v0.12 From fd553241ab33882835ecf6065d61b775c9e2f1b1 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 22 Mar 2016 09:07:44 +0000 Subject: =?UTF-8?q?(cherry-pick):=20Fix=20signed-unsigned-compare=20warnin?= =?UTF-8?q?g=20(reported=20by=20Fran=C3=A7ois=20Vogel=20on=20Windows,=20bu?= =?UTF-8?q?t=20gcc=20can=20trigger=20it=20as=20well)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- generic/tclCompExpr.c | 2 +- generic/tclEnsemble.c | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/generic/tclCompExpr.c b/generic/tclCompExpr.c index 50edbec..2ffcc68 100644 --- a/generic/tclCompExpr.c +++ b/generic/tclCompExpr.c @@ -666,7 +666,7 @@ ParseExpr( OpNode *newPtr = NULL; do { - if (size <= UINT_MAX/sizeof(OpNode)) { + if (size <= (int)(UINT_MAX/sizeof(OpNode))) { newPtr = attemptckrealloc(nodes, size * sizeof(OpNode)); } } while ((newPtr == NULL) diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index 986a553..6b6a156 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -3081,7 +3081,7 @@ TclAttemptCompileProc( int result, i; Tcl_Token *saveTokenPtr = parsePtr->tokenPtr; int savedStackDepth = envPtr->currStackDepth; - unsigned savedCodeNext = envPtr->codeNext - envPtr->codeStart; + int savedCodeNext = envPtr->codeNext - envPtr->codeStart; int savedAuxDataArrayNext = envPtr->auxDataArrayNext; int savedExceptArrayNext = envPtr->exceptArrayNext; #ifdef TCL_COMPILE_DEBUG -- cgit v0.12 From f16557b5a03c04972b0b35eef114e92d2195e529 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 22 Mar 2016 13:15:21 +0000 Subject: Alternative solution for [f1253530cd] --- library/word.tcl | 16 ++++++++++++---- 1 file changed, 12 insertions(+), 4 deletions(-) diff --git a/library/word.tcl b/library/word.tcl index b8f34a5..3e4bc3a 100644 --- a/library/word.tcl +++ b/library/word.tcl @@ -15,12 +15,20 @@ if {$::tcl_platform(platform) eq "windows"} { # Windows style - any but a unicode space char - set ::tcl_wordchars {\S} - set ::tcl_nonwordchars {\s} + if {![info exists ::tcl_wordchars]} { + set ::tcl_wordchars {\S} + } + if {![info exists ::tcl_nonwordchars]} { + set ::tcl_nonwordchars {\s} + } } else { # Motif style - any unicode word char (number, letter, or underscore) - set ::tcl_wordchars {\w} - set ::tcl_nonwordchars {\W} + if {![info exists ::tcl_wordchars]} { + set ::tcl_wordchars {\w} + } + if {![info exists ::tcl_nonwordchars]} { + set ::tcl_nonwordchars {\W} + } } # Arrange for caches of the real matcher REs to be kept, which enables the REs -- cgit v0.12 From 08da639e50f42d9cb3447401a59db6669748f9a9 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 22 Mar 2016 16:38:47 +0000 Subject: Don't compare signed and unsigned. Get types right. --- generic/tclCompile.h | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/generic/tclCompile.h b/generic/tclCompile.h index b5bfab1..5b747fe 100644 --- a/generic/tclCompile.h +++ b/generic/tclCompile.h @@ -135,7 +135,7 @@ typedef struct ExceptionAux { int numBreakTargets; /* The number of [break]s that want to be * targeted to the place where this loop * exception will be bound to. */ - int *breakTargets; /* The offsets of the INST_JUMP4 instructions + unsigned int *breakTargets; /* The offsets of the INST_JUMP4 instructions * issued by the [break]s that we must * update. Note that resizing a jump (via * TclFixupForwardJump) can cause the contents @@ -145,7 +145,7 @@ typedef struct ExceptionAux { int numContinueTargets; /* The number of [continue]s that want to be * targeted to the place where this loop * exception will be bound to. */ - int *continueTargets; /* The offsets of the INST_JUMP4 instructions + unsigned int *continueTargets; /* The offsets of the INST_JUMP4 instructions * issued by the [continue]s that we must * update. Note that resizing a jump (via * TclFixupForwardJump) can cause the contents -- cgit v0.12 From f0d0319ba6c340e680ec612d980061897bf07b4f Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 22 Mar 2016 17:08:50 +0000 Subject: More places where unsigned quantities should be decared such. --- generic/tclCompCmdsSZ.c | 2 +- generic/tclCompile.h | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/generic/tclCompCmdsSZ.c b/generic/tclCompCmdsSZ.c index ef9340e..101edbd 100644 --- a/generic/tclCompCmdsSZ.c +++ b/generic/tclCompCmdsSZ.c @@ -2028,7 +2028,7 @@ IssueSwitchChainedTests( int foundDefault; /* Flag to indicate whether a "default" clause * is present. */ JumpFixup *fixupArray; /* Array of forward-jump fixup records. */ - int *fixupTargetArray; /* Array of places for fixups to point at. */ + unsigned int *fixupTargetArray; /* Array of places for fixups to point at. */ int fixupCount; /* Number of places to fix up. */ int contFixIndex; /* Where the first of the jumps due to a group * of continuation bodies starts, or -1 if diff --git a/generic/tclCompile.h b/generic/tclCompile.h index 5b747fe..d5bc86b 100644 --- a/generic/tclCompile.h +++ b/generic/tclCompile.h @@ -928,7 +928,7 @@ typedef enum { typedef struct JumpFixup { TclJumpType jumpType; /* Indicates the kind of jump. */ - int codeOffset; /* Offset of the first byte of the one-byte + unsigned int codeOffset; /* Offset of the first byte of the one-byte * forward jump's code. */ int cmdIndex; /* Index of the first command after the one * for which the jump was emitted. Used to -- cgit v0.12 From d281007655b47cbc0a3449aaa0c605bce151fec4 Mon Sep 17 00:00:00 2001 From: dkf Date: Tue, 22 Mar 2016 20:30:08 +0000 Subject: Factor out string internal rep definition so fix for [1af8de570511] is less awful. --- generic/tclExecute.c | 8 ++--- generic/tclStringObj.c | 55 +--------------------------- generic/tclStringRep.h | 97 ++++++++++++++++++++++++++++++++++++++++++++++++++ 3 files changed, 102 insertions(+), 58 deletions(-) create mode 100644 generic/tclStringRep.h diff --git a/generic/tclExecute.c b/generic/tclExecute.c index c43cc40..d4077f5 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -19,6 +19,7 @@ #include "tclCompile.h" #include "tclOOInt.h" #include "tommath.h" +#include "tclStringRep.h" #include #include @@ -5739,14 +5740,13 @@ TEBCresume( /* * Flush the info in the string internal rep that refers to the - * about-to-be-invalidated UTF-8 rep. This sets the 'allocated' - * field of the String structure to 0 to indicate that a new - * buffer needs to be allocated. This assumes that the value is + * about-to-be-invalidated UTF-8 rep. This indicates that a new + * buffer needs to be allocated, and assumes that the value is * already of tclStringTypePtr type, which should be true provided * we call it after Tcl_GetUnicodeFromObj. */ #define MarkStringInternalRepForFlush(objPtr) \ - (((int *) ((objPtr)->internalRep.twoPtrValue.ptr1))[1] = 0) + (GET_STRING(objPtr)->allocated = 0) if (Tcl_IsShared(valuePtr)) { objResultPtr = Tcl_DuplicateObj(valuePtr); diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index 8d70d20..11a57e9 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -36,6 +36,7 @@ #include "tclInt.h" #include "tommath.h" +#include "tclStringRep.h" /* * Set COMPAT to 1 to restore the shimmering patterns to those of Tcl 8.5. @@ -89,60 +90,6 @@ const Tcl_ObjType tclStringType = { UpdateStringOfString, /* updateStringProc */ SetStringFromAny /* setFromAnyProc */ }; - -/* - * The following structure is the internal rep for a String object. It keeps - * track of how much memory has been used and how much has been allocated for - * the Unicode and UTF string to enable growing and shrinking of the UTF and - * Unicode reps of the String object with fewer mallocs. To optimize string - * length and indexing operations, this structure also stores the number of - * characters (same of UTF and Unicode!) once that value has been computed. - * - * Under normal configurations, what Tcl calls "Unicode" is actually UTF-16 - * restricted to the Basic Multilingual Plane (i.e. U+00000 to U+0FFFF). This - * can be officially modified by altering the definition of Tcl_UniChar in - * tcl.h, but do not do that unless you are sure what you're doing! - */ - -typedef struct String { - int numChars; /* The number of chars in the string. -1 means - * this value has not been calculated. >= 0 - * means that there is a valid Unicode rep, or - * that the number of UTF bytes == the number - * of chars. */ - int allocated; /* The amount of space actually allocated for - * the UTF string (minus 1 byte for the - * termination char). */ - int maxChars; /* Max number of chars that can fit in the - * space allocated for the unicode array. */ - int hasUnicode; /* Boolean determining whether the string has - * a Unicode representation. */ - Tcl_UniChar unicode[1]; /* The array of Unicode chars. The actual size - * of this field depends on the 'maxChars' - * field above. */ -} String; - -#define STRING_MAXCHARS \ - (int)(((size_t)UINT_MAX - sizeof(String))/sizeof(Tcl_UniChar)) -#define STRING_SIZE(numChars) \ - (sizeof(String) + ((numChars) * sizeof(Tcl_UniChar))) -#define stringCheckLimits(numChars) \ - if ((numChars) < 0 || (numChars) > STRING_MAXCHARS) { \ - Tcl_Panic("max length for a Tcl unicode value (%d chars) exceeded", \ - STRING_MAXCHARS); \ - } -#define stringAttemptAlloc(numChars) \ - (String *) attemptckalloc((unsigned) STRING_SIZE(numChars) ) -#define stringAlloc(numChars) \ - (String *) ckalloc((unsigned) STRING_SIZE(numChars) ) -#define stringRealloc(ptr, numChars) \ - (String *) ckrealloc((ptr), (unsigned) STRING_SIZE(numChars) ) -#define stringAttemptRealloc(ptr, numChars) \ - (String *) attemptckrealloc((ptr), (unsigned) STRING_SIZE(numChars) ) -#define GET_STRING(objPtr) \ - ((String *) (objPtr)->internalRep.twoPtrValue.ptr1) -#define SET_STRING(objPtr, stringPtr) \ - ((objPtr)->internalRep.twoPtrValue.ptr1 = (void *) (stringPtr)) /* * TCL STRING GROWTH ALGORITHM diff --git a/generic/tclStringRep.h b/generic/tclStringRep.h new file mode 100644 index 0000000..227e6bc --- /dev/null +++ b/generic/tclStringRep.h @@ -0,0 +1,97 @@ +/* + * tclStringRep.h -- + * + * This file contains the definition of the Unicode string internal + * representation and macros to access it. + * + * A Unicode string is an internationalized string. Conceptually, a + * Unicode string is an array of 16-bit quantities organized as a + * sequence of properly formed UTF-8 characters. There is a one-to-one + * map between Unicode and UTF characters. Because Unicode characters + * have a fixed width, operations such as indexing operate on Unicode + * data. The String object is optimized for the case where each UTF char + * in a string is only one byte. In this case, we store the value of + * numChars, but we don't store the Unicode data (unless Tcl_GetUnicode + * is explicitly called). + * + * The String object type stores one or both formats. The default + * behavior is to store UTF. Once Unicode is calculated by a function, it + * is stored in the internal rep for future access (without an additional + * O(n) cost). + * + * To allow many appends to be done to an object without constantly + * reallocating the space for the string or Unicode representation, we + * allocate double the space for the string or Unicode and use the + * internal representation to keep track of how much space is used vs. + * allocated. + * + * Copyright (c) 1995-1997 Sun Microsystems, Inc. + * Copyright (c) 1999 by Scriptics Corporation. + * + * See the file "license.terms" for information on usage and redistribution of + * this file, and for a DISCLAIMER OF ALL WARRANTIES. + */ + +/* + * The following structure is the internal rep for a String object. It keeps + * track of how much memory has been used and how much has been allocated for + * the Unicode and UTF string to enable growing and shrinking of the UTF and + * Unicode reps of the String object with fewer mallocs. To optimize string + * length and indexing operations, this structure also stores the number of + * characters (same of UTF and Unicode!) once that value has been computed. + * + * Under normal configurations, what Tcl calls "Unicode" is actually UTF-16 + * restricted to the Basic Multilingual Plane (i.e. U+00000 to U+0FFFF). This + * can be officially modified by altering the definition of Tcl_UniChar in + * tcl.h, but do not do that unless you are sure what you're doing! + */ + +typedef struct String { + int numChars; /* The number of chars in the string. -1 means + * this value has not been calculated. >= 0 + * means that there is a valid Unicode rep, or + * that the number of UTF bytes == the number + * of chars. */ + int allocated; /* The amount of space actually allocated for + * the UTF string (minus 1 byte for the + * termination char). */ + int maxChars; /* Max number of chars that can fit in the + * space allocated for the unicode array. */ + int hasUnicode; /* Boolean determining whether the string has + * a Unicode representation. */ + Tcl_UniChar unicode[1]; /* The array of Unicode chars. The actual size + * of this field depends on the 'maxChars' + * field above. */ +} String; + +#define STRING_MAXCHARS \ + (int)(((size_t)UINT_MAX - sizeof(String))/sizeof(Tcl_UniChar)) +#define STRING_SIZE(numChars) \ + (sizeof(String) + ((numChars) * sizeof(Tcl_UniChar))) +#define stringCheckLimits(numChars) \ + do { \ + if ((numChars) < 0 || (numChars) > STRING_MAXCHARS) { \ + Tcl_Panic("max length for a Tcl unicode value (%d chars) exceeded", \ + STRING_MAXCHARS); \ + } \ + } while (0) +#define stringAttemptAlloc(numChars) \ + (String *) attemptckalloc((unsigned) STRING_SIZE(numChars)) +#define stringAlloc(numChars) \ + (String *) ckalloc((unsigned) STRING_SIZE(numChars)) +#define stringRealloc(ptr, numChars) \ + (String *) ckrealloc((ptr), (unsigned) STRING_SIZE(numChars)) +#define stringAttemptRealloc(ptr, numChars) \ + (String *) attemptckrealloc((ptr), (unsigned) STRING_SIZE(numChars)) +#define GET_STRING(objPtr) \ + ((String *) (objPtr)->internalRep.twoPtrValue.ptr1) +#define SET_STRING(objPtr, stringPtr) \ + ((objPtr)->internalRep.twoPtrValue.ptr1 = (void *) (stringPtr)) + +/* + * Local Variables: + * mode: c + * c-basic-offset: 4 + * fill-column: 78 + * End: + */ -- cgit v0.12 From 9ac95b002e2b6c6b66c04d1964c22ccc25d4e883 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 23 Mar 2016 08:48:54 +0000 Subject: =?UTF-8?q?Fix=20[7d0db7c388f52de8]:=20Occasional=20build=20failur?= =?UTF-8?q?es=20with=20parallel=20make.=20Thanks=20to=20Jaroslav=20=C5=A0k?= =?UTF-8?q?arvada=20for=20bug=20report=20and=20fix.?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- unix/Makefile.in | 128 +++++++++++++++++++++++++++---------------------------- 1 file changed, 64 insertions(+), 64 deletions(-) diff --git a/unix/Makefile.in b/unix/Makefile.in index 570bce0..0cb9c44 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -1351,196 +1351,196 @@ tclThreadTest.o: $(GENERIC_DIR)/tclThreadTest.c tclTomMathInterface.o: $(GENERIC_DIR)/tclTomMathInterface.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(GENERIC_DIR)/tclTomMathInterface.c -bncore.o: $(TOMMATH_DIR)/bncore.c $(MATHHDRS) +bncore.o: $(TOMMATH_DIR)/bncore.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bncore.c -bn_reverse.o: $(TOMMATH_DIR)/bn_reverse.c $(MATHHDRS) +bn_reverse.o: $(TOMMATH_DIR)/bn_reverse.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_reverse.c -bn_fast_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_fast_s_mp_mul_digs.c $(MATHHDRS) +bn_fast_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_fast_s_mp_mul_digs.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_fast_s_mp_mul_digs.c -bn_fast_s_mp_sqr.o: $(TOMMATH_DIR)/bn_fast_s_mp_sqr.c $(MATHHDRS) +bn_fast_s_mp_sqr.o: $(TOMMATH_DIR)/bn_fast_s_mp_sqr.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_fast_s_mp_sqr.c -bn_mp_add.o: $(TOMMATH_DIR)/bn_mp_add.c $(MATHHDRS) +bn_mp_add.o: $(TOMMATH_DIR)/bn_mp_add.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_add.c -bn_mp_add_d.o: $(TOMMATH_DIR)/bn_mp_add_d.c $(MATHHDRS) +bn_mp_add_d.o: $(TOMMATH_DIR)/bn_mp_add_d.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_add_d.c -bn_mp_and.o: $(TOMMATH_DIR)/bn_mp_and.c $(MATHHDRS) +bn_mp_and.o: $(TOMMATH_DIR)/bn_mp_and.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_and.c -bn_mp_clamp.o: $(TOMMATH_DIR)/bn_mp_clamp.c $(MATHHDRS) +bn_mp_clamp.o: $(TOMMATH_DIR)/bn_mp_clamp.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_clamp.c -bn_mp_clear.o: $(TOMMATH_DIR)/bn_mp_clear.c $(MATHHDRS) +bn_mp_clear.o: $(TOMMATH_DIR)/bn_mp_clear.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_clear.c -bn_mp_clear_multi.o: $(TOMMATH_DIR)/bn_mp_clear_multi.c $(MATHHDRS) +bn_mp_clear_multi.o: $(TOMMATH_DIR)/bn_mp_clear_multi.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_clear_multi.c -bn_mp_cmp.o: $(TOMMATH_DIR)/bn_mp_cmp.c $(MATHHDRS) +bn_mp_cmp.o: $(TOMMATH_DIR)/bn_mp_cmp.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_cmp.c -bn_mp_cmp_d.o: $(TOMMATH_DIR)/bn_mp_cmp_d.c $(MATHHDRS) +bn_mp_cmp_d.o: $(TOMMATH_DIR)/bn_mp_cmp_d.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_cmp_d.c -bn_mp_cmp_mag.o: $(TOMMATH_DIR)/bn_mp_cmp_mag.c $(MATHHDRS) +bn_mp_cmp_mag.o: $(TOMMATH_DIR)/bn_mp_cmp_mag.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_cmp_mag.c -bn_mp_cnt_lsb.o: $(TOMMATH_DIR)/bn_mp_cnt_lsb.c $(MATHHDRS) +bn_mp_cnt_lsb.o: $(TOMMATH_DIR)/bn_mp_cnt_lsb.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_cnt_lsb.c -bn_mp_copy.o: $(TOMMATH_DIR)/bn_mp_copy.c $(MATHHDRS) +bn_mp_copy.o: $(TOMMATH_DIR)/bn_mp_copy.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_copy.c -bn_mp_count_bits.o: $(TOMMATH_DIR)/bn_mp_count_bits.c $(MATHHDRS) +bn_mp_count_bits.o: $(TOMMATH_DIR)/bn_mp_count_bits.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_count_bits.c -bn_mp_div.o: $(TOMMATH_DIR)/bn_mp_div.c $(MATHHDRS) +bn_mp_div.o: $(TOMMATH_DIR)/bn_mp_div.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_div.c -bn_mp_div_d.o: $(TOMMATH_DIR)/bn_mp_div_d.c $(MATHHDRS) +bn_mp_div_d.o: $(TOMMATH_DIR)/bn_mp_div_d.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_div_d.c -bn_mp_div_2.o: $(TOMMATH_DIR)/bn_mp_div_2.c $(MATHHDRS) +bn_mp_div_2.o: $(TOMMATH_DIR)/bn_mp_div_2.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_div_2.c -bn_mp_div_2d.o: $(TOMMATH_DIR)/bn_mp_div_2d.c $(MATHHDRS) +bn_mp_div_2d.o: $(TOMMATH_DIR)/bn_mp_div_2d.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_div_2d.c -bn_mp_div_3.o: $(TOMMATH_DIR)/bn_mp_div_3.c $(MATHHDRS) +bn_mp_div_3.o: $(TOMMATH_DIR)/bn_mp_div_3.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_div_3.c -bn_mp_exch.o: $(TOMMATH_DIR)/bn_mp_exch.c $(MATHHDRS) +bn_mp_exch.o: $(TOMMATH_DIR)/bn_mp_exch.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_exch.c -bn_mp_expt_d.o: $(TOMMATH_DIR)/bn_mp_expt_d.c $(MATHHDRS) +bn_mp_expt_d.o: $(TOMMATH_DIR)/bn_mp_expt_d.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_expt_d.c -bn_mp_grow.o: $(TOMMATH_DIR)/bn_mp_grow.c $(MATHHDRS) +bn_mp_grow.o: $(TOMMATH_DIR)/bn_mp_grow.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_grow.c -bn_mp_init.o: $(TOMMATH_DIR)/bn_mp_init.c $(MATHHDRS) +bn_mp_init.o: $(TOMMATH_DIR)/bn_mp_init.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init.c -bn_mp_init_copy.o: $(TOMMATH_DIR)/bn_mp_init_copy.c $(MATHHDRS) +bn_mp_init_copy.o: $(TOMMATH_DIR)/bn_mp_init_copy.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init_copy.c -bn_mp_init_multi.o: $(TOMMATH_DIR)/bn_mp_init_multi.c 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-bn_mp_karatsuba_sqr.o: $(TOMMATH_DIR)/bn_mp_karatsuba_sqr.c $(MATHHDRS) +bn_mp_karatsuba_sqr.o: $(TOMMATH_DIR)/bn_mp_karatsuba_sqr.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_karatsuba_sqr.c -bn_mp_lshd.o: $(TOMMATH_DIR)/bn_mp_lshd.c $(MATHHDRS) +bn_mp_lshd.o: $(TOMMATH_DIR)/bn_mp_lshd.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_lshd.c -bn_mp_mod.o: $(TOMMATH_DIR)/bn_mp_mod.c $(MATHHDRS) +bn_mp_mod.o: $(TOMMATH_DIR)/bn_mp_mod.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mod.c -bn_mp_mod_2d.o: $(TOMMATH_DIR)/bn_mp_mod_2d.c $(MATHHDRS) +bn_mp_mod_2d.o: $(TOMMATH_DIR)/bn_mp_mod_2d.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mod_2d.c -bn_mp_mul.o: $(TOMMATH_DIR)/bn_mp_mul.c $(MATHHDRS) +bn_mp_mul.o: $(TOMMATH_DIR)/bn_mp_mul.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mul.c -bn_mp_mul_2.o: $(TOMMATH_DIR)/bn_mp_mul_2.c $(MATHHDRS) +bn_mp_mul_2.o: 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$(MATHHDRS) +bn_s_mp_sqr.o: $(TOMMATH_DIR)/bn_s_mp_sqr.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_sqr.c -bn_s_mp_sub.o: $(TOMMATH_DIR)/bn_s_mp_sub.c $(MATHHDRS) +bn_s_mp_sub.o: $(TOMMATH_DIR)/bn_s_mp_sub.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_sub.c tclUnixChan.o: $(UNIX_DIR)/tclUnixChan.c $(IOHDR) -- cgit v0.12 From 6217f91705eb0d6550f5376c362942971284a102 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 23 Mar 2016 08:59:25 +0000 Subject: =?UTF-8?q?(cherry-pick):=20Fix=20[7d0db7c388f52de8]:=20Occasional?= =?UTF-8?q?=20build=20failures=20with=20parallel=20make.=20Thanks=20to=20J?= =?UTF-8?q?aroslav=20=C5=A0karvada=20for=20bug=20report=20and=20fix.?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- unix/Makefile.in | 128 +++++++++++++++++++++++++++---------------------------- 1 file changed, 64 insertions(+), 64 deletions(-) diff --git a/unix/Makefile.in b/unix/Makefile.in index bc73118..cc438a4 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -1351,196 +1351,196 @@ tclThreadTest.o: $(GENERIC_DIR)/tclThreadTest.c tclTomMathInterface.o: $(GENERIC_DIR)/tclTomMathInterface.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(GENERIC_DIR)/tclTomMathInterface.c -bncore.o: $(TOMMATH_DIR)/bncore.c $(MATHHDRS) +bncore.o: $(TOMMATH_DIR)/bncore.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bncore.c -bn_reverse.o: $(TOMMATH_DIR)/bn_reverse.c $(MATHHDRS) +bn_reverse.o: $(TOMMATH_DIR)/bn_reverse.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_reverse.c -bn_fast_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_fast_s_mp_mul_digs.c $(MATHHDRS) +bn_fast_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_fast_s_mp_mul_digs.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_fast_s_mp_mul_digs.c -bn_fast_s_mp_sqr.o: $(TOMMATH_DIR)/bn_fast_s_mp_sqr.c $(MATHHDRS) +bn_fast_s_mp_sqr.o: $(TOMMATH_DIR)/bn_fast_s_mp_sqr.c $(MATHHDRS) 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+bn_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_s_mp_mul_digs.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_mul_digs.c -bn_s_mp_sqr.o: $(TOMMATH_DIR)/bn_s_mp_sqr.c $(MATHHDRS) +bn_s_mp_sqr.o: $(TOMMATH_DIR)/bn_s_mp_sqr.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_sqr.c -bn_s_mp_sub.o: $(TOMMATH_DIR)/bn_s_mp_sub.c $(MATHHDRS) +bn_s_mp_sub.o: $(TOMMATH_DIR)/bn_s_mp_sub.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_sub.c tclUnixChan.o: $(UNIX_DIR)/tclUnixChan.c $(IOHDR) -- cgit v0.12 From a65c0e7103d10d4dc444c2cd443ecc4ecff5f6cb Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 23 Mar 2016 09:00:54 +0000 Subject: =?UTF-8?q?(cherry-pick):=20Fix=20[7d0db7c388f52de8]:=20Occasional?= =?UTF-8?q?=20build=20failures=20with=20parallel=20make.=20Thanks=20to=20J?= =?UTF-8?q?aroslav=20=C5=A0karvada=20for=20bug=20report=20and=20fix.?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- unix/Makefile.in | 128 +++++++++++++++++++++++++++---------------------------- 1 file changed, 64 insertions(+), 64 deletions(-) diff --git a/unix/Makefile.in b/unix/Makefile.in index 84d0391..6e2970f 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -1238,196 +1238,196 @@ tclThreadTest.o: $(GENERIC_DIR)/tclThreadTest.c tclTomMathInterface.o: $(GENERIC_DIR)/tclTomMathInterface.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(GENERIC_DIR)/tclTomMathInterface.c -bncore.o: $(TOMMATH_DIR)/bncore.c $(MATHHDRS) +bncore.o: $(TOMMATH_DIR)/bncore.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bncore.c -bn_reverse.o: $(TOMMATH_DIR)/bn_reverse.c $(MATHHDRS) +bn_reverse.o: $(TOMMATH_DIR)/bn_reverse.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_reverse.c -bn_fast_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_fast_s_mp_mul_digs.c $(MATHHDRS) +bn_fast_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_fast_s_mp_mul_digs.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_fast_s_mp_mul_digs.c -bn_fast_s_mp_sqr.o: $(TOMMATH_DIR)/bn_fast_s_mp_sqr.c $(MATHHDRS) +bn_fast_s_mp_sqr.o: $(TOMMATH_DIR)/bn_fast_s_mp_sqr.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_fast_s_mp_sqr.c -bn_mp_add.o: $(TOMMATH_DIR)/bn_mp_add.c $(MATHHDRS) +bn_mp_add.o: $(TOMMATH_DIR)/bn_mp_add.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_add.c -bn_mp_add_d.o: $(TOMMATH_DIR)/bn_mp_add_d.c $(MATHHDRS) +bn_mp_add_d.o: $(TOMMATH_DIR)/bn_mp_add_d.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_add_d.c -bn_mp_and.o: $(TOMMATH_DIR)/bn_mp_and.c $(MATHHDRS) +bn_mp_and.o: $(TOMMATH_DIR)/bn_mp_and.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_and.c -bn_mp_clamp.o: $(TOMMATH_DIR)/bn_mp_clamp.c $(MATHHDRS) +bn_mp_clamp.o: $(TOMMATH_DIR)/bn_mp_clamp.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_clamp.c -bn_mp_clear.o: 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+bn_mp_mod_2d.o: $(TOMMATH_DIR)/bn_mp_mod_2d.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mod_2d.c -bn_mp_mul.o: $(TOMMATH_DIR)/bn_mp_mul.c $(MATHHDRS) +bn_mp_mul.o: $(TOMMATH_DIR)/bn_mp_mul.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mul.c -bn_mp_mul_2.o: $(TOMMATH_DIR)/bn_mp_mul_2.c $(MATHHDRS) +bn_mp_mul_2.o: $(TOMMATH_DIR)/bn_mp_mul_2.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mul_2.c -bn_mp_mul_2d.o: $(TOMMATH_DIR)/bn_mp_mul_2d.c $(MATHHDRS) +bn_mp_mul_2d.o: $(TOMMATH_DIR)/bn_mp_mul_2d.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mul_2d.c -bn_mp_mul_d.o: $(TOMMATH_DIR)/bn_mp_mul_d.c $(MATHHDRS) +bn_mp_mul_d.o: $(TOMMATH_DIR)/bn_mp_mul_d.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mul_d.c -bn_mp_neg.o: $(TOMMATH_DIR)/bn_mp_neg.c $(MATHHDRS) +bn_mp_neg.o: $(TOMMATH_DIR)/bn_mp_neg.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_neg.c -bn_mp_or.o: $(TOMMATH_DIR)/bn_mp_or.c $(MATHHDRS) +bn_mp_or.o: $(TOMMATH_DIR)/bn_mp_or.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_or.c -bn_mp_radix_size.o: $(TOMMATH_DIR)/bn_mp_radix_size.c $(MATHHDRS) +bn_mp_radix_size.o: $(TOMMATH_DIR)/bn_mp_radix_size.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_radix_size.c -bn_mp_radix_smap.o: $(TOMMATH_DIR)/bn_mp_radix_smap.c $(MATHHDRS) +bn_mp_radix_smap.o: $(TOMMATH_DIR)/bn_mp_radix_smap.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_radix_smap.c -bn_mp_read_radix.o: $(TOMMATH_DIR)/bn_mp_read_radix.c $(MATHHDRS) +bn_mp_read_radix.o: $(TOMMATH_DIR)/bn_mp_read_radix.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_read_radix.c -bn_mp_rshd.o: $(TOMMATH_DIR)/bn_mp_rshd.c $(MATHHDRS) +bn_mp_rshd.o: $(TOMMATH_DIR)/bn_mp_rshd.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_rshd.c -bn_mp_set.o: $(TOMMATH_DIR)/bn_mp_set.c $(MATHHDRS) +bn_mp_set.o: $(TOMMATH_DIR)/bn_mp_set.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_set.c -bn_mp_set_int.o: $(TOMMATH_DIR)/bn_mp_set_int.c $(MATHHDRS) +bn_mp_set_int.o: $(TOMMATH_DIR)/bn_mp_set_int.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_set_int.c -bn_mp_shrink.o: $(TOMMATH_DIR)/bn_mp_shrink.c $(MATHHDRS) +bn_mp_shrink.o: $(TOMMATH_DIR)/bn_mp_shrink.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_shrink.c -bn_mp_sqr.o: $(TOMMATH_DIR)/bn_mp_sqr.c $(MATHHDRS) +bn_mp_sqr.o: $(TOMMATH_DIR)/bn_mp_sqr.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_sqr.c -bn_mp_sqrt.o: $(TOMMATH_DIR)/bn_mp_sqrt.c $(MATHHDRS) +bn_mp_sqrt.o: $(TOMMATH_DIR)/bn_mp_sqrt.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_sqrt.c -bn_mp_sub.o: $(TOMMATH_DIR)/bn_mp_sub.c $(MATHHDRS) +bn_mp_sub.o: $(TOMMATH_DIR)/bn_mp_sub.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_sub.c -bn_mp_sub_d.o: $(TOMMATH_DIR)/bn_mp_sub_d.c $(MATHHDRS) +bn_mp_sub_d.o: $(TOMMATH_DIR)/bn_mp_sub_d.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_sub_d.c -bn_mp_to_unsigned_bin.o: $(TOMMATH_DIR)/bn_mp_to_unsigned_bin.c $(MATHHDRS) +bn_mp_to_unsigned_bin.o: $(TOMMATH_DIR)/bn_mp_to_unsigned_bin.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_to_unsigned_bin.c -bn_mp_to_unsigned_bin_n.o: $(TOMMATH_DIR)/bn_mp_to_unsigned_bin_n.c $(MATHHDRS) +bn_mp_to_unsigned_bin_n.o: $(TOMMATH_DIR)/bn_mp_to_unsigned_bin_n.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_to_unsigned_bin_n.c -bn_mp_toom_mul.o: $(TOMMATH_DIR)/bn_mp_toom_mul.c $(MATHHDRS) +bn_mp_toom_mul.o: $(TOMMATH_DIR)/bn_mp_toom_mul.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_toom_mul.c -bn_mp_toom_sqr.o: $(TOMMATH_DIR)/bn_mp_toom_sqr.c $(MATHHDRS) +bn_mp_toom_sqr.o: $(TOMMATH_DIR)/bn_mp_toom_sqr.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_toom_sqr.c -bn_mp_toradix_n.o: $(TOMMATH_DIR)/bn_mp_toradix_n.c $(MATHHDRS) +bn_mp_toradix_n.o: $(TOMMATH_DIR)/bn_mp_toradix_n.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_toradix_n.c -bn_mp_unsigned_bin_size.o: $(TOMMATH_DIR)/bn_mp_unsigned_bin_size.c $(MATHHDRS) +bn_mp_unsigned_bin_size.o: $(TOMMATH_DIR)/bn_mp_unsigned_bin_size.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_unsigned_bin_size.c -bn_mp_xor.o: $(TOMMATH_DIR)/bn_mp_xor.c $(MATHHDRS) +bn_mp_xor.o: $(TOMMATH_DIR)/bn_mp_xor.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_xor.c -bn_mp_zero.o: $(TOMMATH_DIR)/bn_mp_zero.c $(MATHHDRS) +bn_mp_zero.o: $(TOMMATH_DIR)/bn_mp_zero.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_zero.c -bn_s_mp_add.o: $(TOMMATH_DIR)/bn_s_mp_add.c $(MATHHDRS) +bn_s_mp_add.o: $(TOMMATH_DIR)/bn_s_mp_add.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_add.c -bn_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_s_mp_mul_digs.c $(MATHHDRS) +bn_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_s_mp_mul_digs.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_mul_digs.c -bn_s_mp_sqr.o: $(TOMMATH_DIR)/bn_s_mp_sqr.c $(MATHHDRS) +bn_s_mp_sqr.o: $(TOMMATH_DIR)/bn_s_mp_sqr.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_sqr.c -bn_s_mp_sub.o: $(TOMMATH_DIR)/bn_s_mp_sub.c $(MATHHDRS) +bn_s_mp_sub.o: $(TOMMATH_DIR)/bn_s_mp_sub.c $(MATHHDRS) $(DTRACE_HDR) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_sub.c tclUnixChan.o: $(UNIX_DIR)/tclUnixChan.c $(IOHDR) -- cgit v0.12 From 62af51b8f98d93a42b8242eafa267316ad222973 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 23 Mar 2016 09:55:06 +0000 Subject: Fix [f1253530cdd83e66]: Different Windows / *nix default bindings for text widget. Still - most likely - not the complete story for trunk/tcl9, but whatever we do this is a better starting-point than how it was. --- library/word.tcl | 24 +++++++----------------- 1 file changed, 7 insertions(+), 17 deletions(-) diff --git a/library/word.tcl b/library/word.tcl index 3e4bc3a..0246530 100644 --- a/library/word.tcl +++ b/library/word.tcl @@ -11,24 +11,14 @@ # of this file, and for a DISCLAIMER OF ALL WARRANTIES. # The following variables are used to determine which characters are -# interpreted as white space. +# interpreted as word characters. See bug [f1253530cdd8]. Will +# probably be removed in Tcl 9. -if {$::tcl_platform(platform) eq "windows"} { - # Windows style - any but a unicode space char - if {![info exists ::tcl_wordchars]} { - set ::tcl_wordchars {\S} - } - if {![info exists ::tcl_nonwordchars]} { - set ::tcl_nonwordchars {\s} - } -} else { - # Motif style - any unicode word char (number, letter, or underscore) - if {![info exists ::tcl_wordchars]} { - set ::tcl_wordchars {\w} - } - if {![info exists ::tcl_nonwordchars]} { - set ::tcl_nonwordchars {\W} - } +if {![info exists ::tcl_wordchars]} { + set ::tcl_wordchars {\w} +} +if {![info exists ::tcl_nonwordchars]} { + set ::tcl_nonwordchars {\W} } # Arrange for caches of the real matcher REs to be kept, which enables the REs -- cgit v0.12 From ff955a7522d3517a71ee5427c360075be87f056d Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 23 Mar 2016 09:59:08 +0000 Subject: (cherry-pick): Fix [f1253530cdd83e66]: Different Windows / *nix default bindings for text widget See: [https://groups.google.com/forum/#!topic/comp.lang.tcl/ZZ_WwfQdmoE]. People like Eric Brunel, who want the most logical behavior for any Tcl release can simply do: set ::tcl_wordchars {\w} set ::tcl_nonwordchars {\W} --- library/word.tcl | 16 ++++++++++++---- 1 file changed, 12 insertions(+), 4 deletions(-) diff --git a/library/word.tcl b/library/word.tcl index b8f34a5..3e4bc3a 100644 --- a/library/word.tcl +++ b/library/word.tcl @@ -15,12 +15,20 @@ if {$::tcl_platform(platform) eq "windows"} { # Windows style - any but a unicode space char - set ::tcl_wordchars {\S} - set ::tcl_nonwordchars {\s} + if {![info exists ::tcl_wordchars]} { + set ::tcl_wordchars {\S} + } + if {![info exists ::tcl_nonwordchars]} { + set ::tcl_nonwordchars {\s} + } } else { # Motif style - any unicode word char (number, letter, or underscore) - set ::tcl_wordchars {\w} - set ::tcl_nonwordchars {\W} + if {![info exists ::tcl_wordchars]} { + set ::tcl_wordchars {\w} + } + if {![info exists ::tcl_nonwordchars]} { + set ::tcl_nonwordchars {\W} + } } # Arrange for caches of the real matcher REs to be kept, which enables the REs -- cgit v0.12 From 4936a3f9d6993a339e97da0e54cdf7694d58769c Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 23 Mar 2016 10:00:40 +0000 Subject: (cherry-pick): Fix [f1253530cdd83e66]: Different Windows / *nix default bindings for text widget See: [https://groups.google.com/forum/#!topic/comp.lang.tcl/ZZ_WwfQdmoE]. People like Eric Brunel, who want the most logical behavior for any Tcl release can simply do: set ::tcl_wordchars {\w} set ::tcl_nonwordchars {\W} --- library/word.tcl | 16 ++++++++++++---- 1 file changed, 12 insertions(+), 4 deletions(-) diff --git a/library/word.tcl b/library/word.tcl index b8f34a5..3e4bc3a 100644 --- a/library/word.tcl +++ b/library/word.tcl @@ -15,12 +15,20 @@ if {$::tcl_platform(platform) eq "windows"} { # Windows style - any but a unicode space char - set ::tcl_wordchars {\S} - set ::tcl_nonwordchars {\s} + if {![info exists ::tcl_wordchars]} { + set ::tcl_wordchars {\S} + } + if {![info exists ::tcl_nonwordchars]} { + set ::tcl_nonwordchars {\s} + } } else { # Motif style - any unicode word char (number, letter, or underscore) - set ::tcl_wordchars {\w} - set ::tcl_nonwordchars {\W} + if {![info exists ::tcl_wordchars]} { + set ::tcl_wordchars {\w} + } + if {![info exists ::tcl_nonwordchars]} { + set ::tcl_nonwordchars {\W} + } } # Arrange for caches of the real matcher REs to be kept, which enables the REs -- cgit v0.12 From 143c2731049b73d59148a7f19d47b78b8c24b8b2 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 23 Mar 2016 13:03:54 +0000 Subject: Fix DTRACE_HDR value if tracing is diabled. Follow-up to [7d0db7c388] --- unix/Makefile.in | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/unix/Makefile.in b/unix/Makefile.in index 0cb9c44..897dd1f 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -584,7 +584,7 @@ MAC_OSX_SRCS = \ CYGWIN_SRCS = \ $(TOP_DIR)/win/tclWinError.c -DTRACE_HDR = tclDTrace.h +DTRACE_HDR = @DTRACE_HDR@ DTRACE_SRC = $(GENERIC_DIR)/tclDTrace.d -- cgit v0.12 From df30a3a3ac6e6eb01c81e221d015d20f0a9dffa1 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 23 Mar 2016 13:04:52 +0000 Subject: (cherry-pick): Fix DTRACE_HDR value if tracing is diabled. Follow-up to [7d0db7c388] --- unix/Makefile.in | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/unix/Makefile.in b/unix/Makefile.in index cc438a4..7604bc7 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -584,7 +584,7 @@ MAC_OSX_SRCS = \ CYGWIN_SRCS = \ $(TOP_DIR)/win/tclWinError.c -DTRACE_HDR = tclDTrace.h +DTRACE_HDR = @DTRACE_HDR@ DTRACE_SRC = $(GENERIC_DIR)/tclDTrace.d -- cgit v0.12 From 0c78aaa138bc51f0f2a003a187161b60ec32a2ab Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 23 Mar 2016 13:06:09 +0000 Subject: (cherry-pick): Fix DTRACE_HDR value if tracing is diabled. Follow-up to [7d0db7c388] --- unix/Makefile.in | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/unix/Makefile.in b/unix/Makefile.in index 6e2970f..722f85d 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -529,7 +529,7 @@ MAC_OSX_SRCS = \ $(MAC_OSX_DIR)/tclMacOSXFCmd.c \ $(MAC_OSX_DIR)/tclMacOSXNotify.c -DTRACE_HDR = tclDTrace.h +DTRACE_HDR = @DTRACE_HDR@ DTRACE_SRC = $(GENERIC_DIR)/tclDTrace.d -- cgit v0.12 From 77cc7b40aa68fe4c7ef545f76495ba18c4ace487 Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 24 Mar 2016 21:21:42 +0000 Subject: No longer a need to keep around 'revert to 8.5' code. --- generic/tclStringObj.c | 83 ++------------------------------------------------ 1 file changed, 3 insertions(+), 80 deletions(-) diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index 11a57e9..e718749 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -39,15 +39,6 @@ #include "tclStringRep.h" /* - * Set COMPAT to 1 to restore the shimmering patterns to those of Tcl 8.5. - * This is an escape hatch in case the changes have some unexpected unwelcome - * impact on performance. If things go well, this mechanism can go away when - * post-8.6 development begins. - */ - -#define COMPAT 0 - -/* * Prototypes for functions defined later in this file: */ @@ -445,18 +436,6 @@ Tcl_GetCharLength( if (numChars == -1) { TclNumUtfChars(numChars, objPtr->bytes, objPtr->length); stringPtr->numChars = numChars; - -#if COMPAT - if (numChars < objPtr->length) { - /* - * Since we've just computed the number of chars, and not all UTF - * chars are 1-byte long, go ahead and populate the unicode - * string. - */ - - FillUnicodeRep(objPtr); - } -#endif } return numChars; } @@ -1173,11 +1152,7 @@ Tcl_AppendUnicodeToObj( * objPtr's string rep. */ - if (stringPtr->hasUnicode -#if COMPAT - && stringPtr->numChars > 0 -#endif - ) { + if (stringPtr->hasUnicode) { AppendUnicodeToUnicodeRep(objPtr, unicode, length); } else { AppendUnicodeToUtfRep(objPtr, unicode, length); @@ -1281,11 +1256,7 @@ Tcl_AppendObjToObj( * appendObjPtr and append it. */ - if (stringPtr->hasUnicode -#if COMPAT - && stringPtr->numChars > 0 -#endif - ) { + if (stringPtr->hasUnicode) { /* * If appendObjPtr is not of the "String" type, don't convert it. */ @@ -1318,11 +1289,7 @@ Tcl_AppendObjToObj( AppendUtfToUtfRep(objPtr, bytes, length); - if (numChars >= 0 && appendNumChars >= 0 -#if COMPAT - && appendNumChars == length -#endif - ) { + if (numChars >= 0 && appendNumChars >= 0) { stringPtr->numChars = numChars + appendNumChars; } } @@ -1446,14 +1413,6 @@ AppendUnicodeToUtfRep( if (stringPtr->numChars != -1) { stringPtr->numChars += numChars; } - -#if COMPAT - /* - * Invalidate the unicode rep. - */ - - stringPtr->hasUnicode = 0; -#endif } /* @@ -2871,7 +2830,6 @@ DupStringInternalRep( String *srcStringPtr = GET_STRING(srcPtr); String *copyStringPtr = NULL; -#if COMPAT==0 if (srcStringPtr->numChars == -1) { /* * The String struct in the source value holds zero useful data. Don't @@ -2914,41 +2872,6 @@ DupStringInternalRep( */ copyStringPtr->allocated = copyPtr->bytes ? copyPtr->length : 0; -#else /* COMPAT!=0 */ - /* - * If the src obj is a string of 1-byte Utf chars, then copy the string - * rep of the source object and create an "empty" Unicode internal rep for - * the new object. Otherwise, copy Unicode internal rep, and invalidate - * the string rep of the new object. - */ - - if (srcStringPtr->hasUnicode && srcStringPtr->numChars > 0) { - /* - * Copy the full allocation for the Unicode buffer. - */ - - copyStringPtr = stringAlloc(srcStringPtr->maxChars); - copyStringPtr->maxChars = srcStringPtr->maxChars; - memcpy(copyStringPtr->unicode, srcStringPtr->unicode, - srcStringPtr->numChars * sizeof(Tcl_UniChar)); - copyStringPtr->unicode[srcStringPtr->numChars] = 0; - copyStringPtr->allocated = 0; - } else { - copyStringPtr = stringAlloc(0); - copyStringPtr->unicode[0] = 0; - copyStringPtr->maxChars = 0; - - /* - * Tricky point: the string value was copied by generic object - * management code, so it doesn't contain any extra bytes that might - * exist in the source object. - */ - - copyStringPtr->allocated = copyPtr->length; - } - copyStringPtr->numChars = srcStringPtr->numChars; - copyStringPtr->hasUnicode = srcStringPtr->hasUnicode; -#endif /* COMPAT==0 */ SET_STRING(copyPtr, copyStringPtr); copyPtr->typePtr = &tclStringType; -- cgit v0.12 From cd945198884b9249ee89c47775c2eb9f725a750d Mon Sep 17 00:00:00 2001 From: venkat Date: Sat, 26 Mar 2016 18:10:48 +0000 Subject: Update to tzdata 2016c from ietf.org --- library/tzdata/America/Santiago | 169 +++++++++++++++++++++++++++++++++++++- library/tzdata/Antarctica/Palmer | 169 +++++++++++++++++++++++++++++++++++++- library/tzdata/Asia/Baku | 168 ------------------------------------- library/tzdata/Asia/Barnaul | 6 +- library/tzdata/Europe/Kaliningrad | 10 +-- library/tzdata/Europe/Vilnius | 11 +-- library/tzdata/Europe/Volgograd | 6 +- library/tzdata/Pacific/Easter | 169 +++++++++++++++++++++++++++++++++++++- 8 files changed, 522 insertions(+), 186 deletions(-) diff --git a/library/tzdata/America/Santiago b/library/tzdata/America/Santiago index b6d9b38..3a5c0fd 100644 --- a/library/tzdata/America/Santiago +++ b/library/tzdata/America/Santiago @@ -118,5 +118,172 @@ set TZData(:America/Santiago) { {1378612800 -10800 1 CLST} {1398567600 -14400 0 CLT} {1410062400 -10800 1 CLST} - {1430017200 -10800 0 CLT} + {1463281200 -14400 0 CLT} + {1471147200 -10800 1 CLST} + {1494730800 -14400 0 CLT} + {1502596800 -10800 1 CLST} + {1526180400 -14400 0 CLT} + {1534046400 -10800 1 CLST} + {1557630000 -14400 0 CLT} + {1565496000 -10800 1 CLST} + {1589079600 -14400 0 CLT} + {1596945600 -10800 1 CLST} + {1620529200 -14400 0 CLT} + {1629000000 -10800 1 CLST} + {1652583600 -14400 0 CLT} + {1660449600 -10800 1 CLST} + {1684033200 -14400 0 CLT} + {1691899200 -10800 1 CLST} + {1715482800 -14400 0 CLT} + {1723348800 -10800 1 CLST} + {1746932400 -14400 0 CLT} + {1754798400 -10800 1 CLST} + {1778382000 -14400 0 CLT} + {1786248000 -10800 1 CLST} + {1809831600 -14400 0 CLT} + {1818302400 -10800 1 CLST} + {1841886000 -14400 0 CLT} + {1849752000 -10800 1 CLST} + {1873335600 -14400 0 CLT} + {1881201600 -10800 1 CLST} + {1904785200 -14400 0 CLT} + {1912651200 -10800 1 CLST} + {1936234800 -14400 0 CLT} + {1944100800 -10800 1 CLST} + {1967684400 -14400 0 CLT} + {1976155200 -10800 1 CLST} + {1999738800 -14400 0 CLT} + {2007604800 -10800 1 CLST} + {2031188400 -14400 0 CLT} + {2039054400 -10800 1 CLST} + {2062638000 -14400 0 CLT} + {2070504000 -10800 1 CLST} + {2094087600 -14400 0 CLT} + {2101953600 -10800 1 CLST} + {2125537200 -14400 0 CLT} + {2133403200 -10800 1 CLST} + {2156986800 -14400 0 CLT} + {2165457600 -10800 1 CLST} + {2189041200 -14400 0 CLT} + {2196907200 -10800 1 CLST} + {2220490800 -14400 0 CLT} + {2228356800 -10800 1 CLST} + {2251940400 -14400 0 CLT} + {2259806400 -10800 1 CLST} + {2283390000 -14400 0 CLT} + {2291256000 -10800 1 CLST} + {2314839600 -14400 0 CLT} + {2322705600 -10800 1 CLST} + {2346894000 -14400 0 CLT} + {2354760000 -10800 1 CLST} + {2378343600 -14400 0 CLT} + {2386209600 -10800 1 CLST} + {2409793200 -14400 0 CLT} + {2417659200 -10800 1 CLST} + {2441242800 -14400 0 CLT} + {2449108800 -10800 1 CLST} + {2472692400 -14400 0 CLT} + {2480558400 -10800 1 CLST} + {2504142000 -14400 0 CLT} + {2512612800 -10800 1 CLST} + {2536196400 -14400 0 CLT} + {2544062400 -10800 1 CLST} + {2567646000 -14400 0 CLT} + {2575512000 -10800 1 CLST} + {2599095600 -14400 0 CLT} + {2606961600 -10800 1 CLST} + {2630545200 -14400 0 CLT} + {2638411200 -10800 1 CLST} + {2661994800 -14400 0 CLT} + {2669860800 -10800 1 CLST} + {2693444400 -14400 0 CLT} + {2701915200 -10800 1 CLST} + {2725498800 -14400 0 CLT} + {2733364800 -10800 1 CLST} + {2756948400 -14400 0 CLT} + {2764814400 -10800 1 CLST} + {2788398000 -14400 0 CLT} + {2796264000 -10800 1 CLST} + {2819847600 -14400 0 CLT} + {2827713600 -10800 1 CLST} + {2851297200 -14400 0 CLT} + {2859768000 -10800 1 CLST} + {2883351600 -14400 0 CLT} + {2891217600 -10800 1 CLST} + {2914801200 -14400 0 CLT} + {2922667200 -10800 1 CLST} + {2946250800 -14400 0 CLT} + {2954116800 -10800 1 CLST} + {2977700400 -14400 0 CLT} + {2985566400 -10800 1 CLST} + {3009150000 -14400 0 CLT} + {3017016000 -10800 1 CLST} + {3040599600 -14400 0 CLT} + {3049070400 -10800 1 CLST} + {3072654000 -14400 0 CLT} + {3080520000 -10800 1 CLST} + {3104103600 -14400 0 CLT} + {3111969600 -10800 1 CLST} + {3135553200 -14400 0 CLT} + {3143419200 -10800 1 CLST} + {3167002800 -14400 0 CLT} + {3174868800 -10800 1 CLST} + {3198452400 -14400 0 CLT} + {3206318400 -10800 1 CLST} + {3230506800 -14400 0 CLT} + {3238372800 -10800 1 CLST} + {3261956400 -14400 0 CLT} + {3269822400 -10800 1 CLST} + {3293406000 -14400 0 CLT} + {3301272000 -10800 1 CLST} + {3324855600 -14400 0 CLT} + {3332721600 -10800 1 CLST} + {3356305200 -14400 0 CLT} + {3364171200 -10800 1 CLST} + {3387754800 -14400 0 CLT} + {3396225600 -10800 1 CLST} + {3419809200 -14400 0 CLT} + {3427675200 -10800 1 CLST} + {3451258800 -14400 0 CLT} + {3459124800 -10800 1 CLST} + {3482708400 -14400 0 CLT} + {3490574400 -10800 1 CLST} + {3514158000 -14400 0 CLT} + {3522024000 -10800 1 CLST} + {3545607600 -14400 0 CLT} + {3553473600 -10800 1 CLST} + {3577057200 -14400 0 CLT} + {3585528000 -10800 1 CLST} + {3609111600 -14400 0 CLT} + {3616977600 -10800 1 CLST} + {3640561200 -14400 0 CLT} + {3648427200 -10800 1 CLST} + {3672010800 -14400 0 CLT} + {3679876800 -10800 1 CLST} + {3703460400 -14400 0 CLT} + {3711326400 -10800 1 CLST} + {3734910000 -14400 0 CLT} + {3743380800 -10800 1 CLST} + {3766964400 -14400 0 CLT} + {3774830400 -10800 1 CLST} + {3798414000 -14400 0 CLT} + {3806280000 -10800 1 CLST} + {3829863600 -14400 0 CLT} + {3837729600 -10800 1 CLST} + {3861313200 -14400 0 CLT} + {3869179200 -10800 1 CLST} + {3892762800 -14400 0 CLT} + {3900628800 -10800 1 CLST} + {3924212400 -14400 0 CLT} + {3932683200 -10800 1 CLST} + {3956266800 -14400 0 CLT} + {3964132800 -10800 1 CLST} + {3987716400 -14400 0 CLT} + {3995582400 -10800 1 CLST} + {4019166000 -14400 0 CLT} + {4027032000 -10800 1 CLST} + {4050615600 -14400 0 CLT} + {4058481600 -10800 1 CLST} + {4082065200 -14400 0 CLT} + {4089931200 -10800 1 CLST} } diff --git a/library/tzdata/Antarctica/Palmer b/library/tzdata/Antarctica/Palmer index 2c43861..5767985 100644 --- a/library/tzdata/Antarctica/Palmer +++ b/library/tzdata/Antarctica/Palmer @@ -81,5 +81,172 @@ set TZData(:Antarctica/Palmer) { {1378612800 -10800 1 CLST} {1398567600 -14400 0 CLT} {1410062400 -10800 1 CLST} - {1430017200 -10800 0 CLT} + {1463281200 -14400 0 CLT} + {1471147200 -10800 1 CLST} + {1494730800 -14400 0 CLT} + {1502596800 -10800 1 CLST} + {1526180400 -14400 0 CLT} + {1534046400 -10800 1 CLST} + {1557630000 -14400 0 CLT} + {1565496000 -10800 1 CLST} + {1589079600 -14400 0 CLT} + {1596945600 -10800 1 CLST} + {1620529200 -14400 0 CLT} + {1629000000 -10800 1 CLST} + {1652583600 -14400 0 CLT} + {1660449600 -10800 1 CLST} + {1684033200 -14400 0 CLT} + {1691899200 -10800 1 CLST} + {1715482800 -14400 0 CLT} + {1723348800 -10800 1 CLST} + {1746932400 -14400 0 CLT} + {1754798400 -10800 1 CLST} + {1778382000 -14400 0 CLT} + {1786248000 -10800 1 CLST} + {1809831600 -14400 0 CLT} + {1818302400 -10800 1 CLST} + {1841886000 -14400 0 CLT} + {1849752000 -10800 1 CLST} + {1873335600 -14400 0 CLT} + {1881201600 -10800 1 CLST} + {1904785200 -14400 0 CLT} + {1912651200 -10800 1 CLST} + {1936234800 -14400 0 CLT} + {1944100800 -10800 1 CLST} + {1967684400 -14400 0 CLT} + {1976155200 -10800 1 CLST} + {1999738800 -14400 0 CLT} + {2007604800 -10800 1 CLST} + {2031188400 -14400 0 CLT} + {2039054400 -10800 1 CLST} + {2062638000 -14400 0 CLT} + {2070504000 -10800 1 CLST} + {2094087600 -14400 0 CLT} + {2101953600 -10800 1 CLST} + {2125537200 -14400 0 CLT} + {2133403200 -10800 1 CLST} + {2156986800 -14400 0 CLT} + {2165457600 -10800 1 CLST} + {2189041200 -14400 0 CLT} + {2196907200 -10800 1 CLST} + {2220490800 -14400 0 CLT} + {2228356800 -10800 1 CLST} + {2251940400 -14400 0 CLT} + {2259806400 -10800 1 CLST} + {2283390000 -14400 0 CLT} + {2291256000 -10800 1 CLST} + {2314839600 -14400 0 CLT} + {2322705600 -10800 1 CLST} + {2346894000 -14400 0 CLT} + {2354760000 -10800 1 CLST} + {2378343600 -14400 0 CLT} + {2386209600 -10800 1 CLST} + {2409793200 -14400 0 CLT} + {2417659200 -10800 1 CLST} + {2441242800 -14400 0 CLT} + {2449108800 -10800 1 CLST} + {2472692400 -14400 0 CLT} + {2480558400 -10800 1 CLST} + {2504142000 -14400 0 CLT} + {2512612800 -10800 1 CLST} + {2536196400 -14400 0 CLT} + {2544062400 -10800 1 CLST} + {2567646000 -14400 0 CLT} + {2575512000 -10800 1 CLST} + {2599095600 -14400 0 CLT} + {2606961600 -10800 1 CLST} + {2630545200 -14400 0 CLT} + {2638411200 -10800 1 CLST} + {2661994800 -14400 0 CLT} + {2669860800 -10800 1 CLST} + {2693444400 -14400 0 CLT} + {2701915200 -10800 1 CLST} + {2725498800 -14400 0 CLT} + {2733364800 -10800 1 CLST} + {2756948400 -14400 0 CLT} + {2764814400 -10800 1 CLST} + {2788398000 -14400 0 CLT} + {2796264000 -10800 1 CLST} + {2819847600 -14400 0 CLT} + {2827713600 -10800 1 CLST} + {2851297200 -14400 0 CLT} + {2859768000 -10800 1 CLST} + {2883351600 -14400 0 CLT} + {2891217600 -10800 1 CLST} + {2914801200 -14400 0 CLT} + {2922667200 -10800 1 CLST} + {2946250800 -14400 0 CLT} + {2954116800 -10800 1 CLST} + {2977700400 -14400 0 CLT} + {2985566400 -10800 1 CLST} + {3009150000 -14400 0 CLT} + {3017016000 -10800 1 CLST} + {3040599600 -14400 0 CLT} + {3049070400 -10800 1 CLST} + {3072654000 -14400 0 CLT} + {3080520000 -10800 1 CLST} + {3104103600 -14400 0 CLT} + {3111969600 -10800 1 CLST} + {3135553200 -14400 0 CLT} + {3143419200 -10800 1 CLST} + {3167002800 -14400 0 CLT} + {3174868800 -10800 1 CLST} + {3198452400 -14400 0 CLT} + {3206318400 -10800 1 CLST} + {3230506800 -14400 0 CLT} + {3238372800 -10800 1 CLST} + {3261956400 -14400 0 CLT} + {3269822400 -10800 1 CLST} + {3293406000 -14400 0 CLT} + {3301272000 -10800 1 CLST} + {3324855600 -14400 0 CLT} + {3332721600 -10800 1 CLST} + {3356305200 -14400 0 CLT} + {3364171200 -10800 1 CLST} + {3387754800 -14400 0 CLT} + {3396225600 -10800 1 CLST} + {3419809200 -14400 0 CLT} + {3427675200 -10800 1 CLST} + {3451258800 -14400 0 CLT} + {3459124800 -10800 1 CLST} + {3482708400 -14400 0 CLT} + {3490574400 -10800 1 CLST} + {3514158000 -14400 0 CLT} + {3522024000 -10800 1 CLST} + {3545607600 -14400 0 CLT} + {3553473600 -10800 1 CLST} + {3577057200 -14400 0 CLT} + {3585528000 -10800 1 CLST} + {3609111600 -14400 0 CLT} + {3616977600 -10800 1 CLST} + {3640561200 -14400 0 CLT} + {3648427200 -10800 1 CLST} + {3672010800 -14400 0 CLT} + {3679876800 -10800 1 CLST} + {3703460400 -14400 0 CLT} + {3711326400 -10800 1 CLST} + {3734910000 -14400 0 CLT} + {3743380800 -10800 1 CLST} + {3766964400 -14400 0 CLT} + {3774830400 -10800 1 CLST} + {3798414000 -14400 0 CLT} + {3806280000 -10800 1 CLST} + {3829863600 -14400 0 CLT} + {3837729600 -10800 1 CLST} + {3861313200 -14400 0 CLT} + {3869179200 -10800 1 CLST} + {3892762800 -14400 0 CLT} + {3900628800 -10800 1 CLST} + {3924212400 -14400 0 CLT} + {3932683200 -10800 1 CLST} + {3956266800 -14400 0 CLT} + {3964132800 -10800 1 CLST} + {3987716400 -14400 0 CLT} + {3995582400 -10800 1 CLST} + {4019166000 -14400 0 CLT} + {4027032000 -10800 1 CLST} + {4050615600 -14400 0 CLT} + {4058481600 -10800 1 CLST} + {4082065200 -14400 0 CLT} + {4089931200 -10800 1 CLST} } diff --git a/library/tzdata/Asia/Baku b/library/tzdata/Asia/Baku index e50071b..c26a2f5 100644 --- a/library/tzdata/Asia/Baku +++ b/library/tzdata/Asia/Baku @@ -71,172 +71,4 @@ set TZData(:Asia/Baku) { {1414281600 14400 0 AZT} {1427587200 18000 1 AZST} {1445731200 14400 0 AZT} - {1459036800 18000 1 AZST} - {1477785600 14400 0 AZT} - {1490486400 18000 1 AZST} - {1509235200 14400 0 AZT} - {1521936000 18000 1 AZST} - {1540684800 14400 0 AZT} - {1553990400 18000 1 AZST} - {1572134400 14400 0 AZT} - {1585440000 18000 1 AZST} - {1603584000 14400 0 AZT} - {1616889600 18000 1 AZST} - {1635638400 14400 0 AZT} - {1648339200 18000 1 AZST} - {1667088000 14400 0 AZT} - {1679788800 18000 1 AZST} - {1698537600 14400 0 AZT} - {1711843200 18000 1 AZST} - {1729987200 14400 0 AZT} - {1743292800 18000 1 AZST} - {1761436800 14400 0 AZT} - {1774742400 18000 1 AZST} - {1792886400 14400 0 AZT} - {1806192000 18000 1 AZST} - {1824940800 14400 0 AZT} - {1837641600 18000 1 AZST} - {1856390400 14400 0 AZT} - {1869091200 18000 1 AZST} - {1887840000 14400 0 AZT} - {1901145600 18000 1 AZST} - {1919289600 14400 0 AZT} - {1932595200 18000 1 AZST} - {1950739200 14400 0 AZT} - {1964044800 18000 1 AZST} - {1982793600 14400 0 AZT} - {1995494400 18000 1 AZST} - {2014243200 14400 0 AZT} - {2026944000 18000 1 AZST} - {2045692800 14400 0 AZT} - {2058393600 18000 1 AZST} - {2077142400 14400 0 AZT} - {2090448000 18000 1 AZST} - {2108592000 14400 0 AZT} - {2121897600 18000 1 AZST} - {2140041600 14400 0 AZT} - {2153347200 18000 1 AZST} - {2172096000 14400 0 AZT} - {2184796800 18000 1 AZST} - {2203545600 14400 0 AZT} - {2216246400 18000 1 AZST} - {2234995200 14400 0 AZT} - {2248300800 18000 1 AZST} - {2266444800 14400 0 AZT} - {2279750400 18000 1 AZST} - {2297894400 14400 0 AZT} - {2311200000 18000 1 AZST} - {2329344000 14400 0 AZT} - {2342649600 18000 1 AZST} - {2361398400 14400 0 AZT} - {2374099200 18000 1 AZST} - {2392848000 14400 0 AZT} - {2405548800 18000 1 AZST} - {2424297600 14400 0 AZT} - {2437603200 18000 1 AZST} - {2455747200 14400 0 AZT} - {2469052800 18000 1 AZST} - {2487196800 14400 0 AZT} - {2500502400 18000 1 AZST} - {2519251200 14400 0 AZT} - {2531952000 18000 1 AZST} - {2550700800 14400 0 AZT} - {2563401600 18000 1 AZST} - {2582150400 14400 0 AZT} - {2595456000 18000 1 AZST} - {2613600000 14400 0 AZT} - {2626905600 18000 1 AZST} - {2645049600 14400 0 AZT} - {2658355200 18000 1 AZST} - {2676499200 14400 0 AZT} - {2689804800 18000 1 AZST} - {2708553600 14400 0 AZT} - {2721254400 18000 1 AZST} - {2740003200 14400 0 AZT} - {2752704000 18000 1 AZST} - {2771452800 14400 0 AZT} - {2784758400 18000 1 AZST} - {2802902400 14400 0 AZT} - {2816208000 18000 1 AZST} - {2834352000 14400 0 AZT} - {2847657600 18000 1 AZST} - {2866406400 14400 0 AZT} - {2879107200 18000 1 AZST} - {2897856000 14400 0 AZT} - {2910556800 18000 1 AZST} - {2929305600 14400 0 AZT} - {2942006400 18000 1 AZST} - {2960755200 14400 0 AZT} - {2974060800 18000 1 AZST} - {2992204800 14400 0 AZT} - {3005510400 18000 1 AZST} - {3023654400 14400 0 AZT} - {3036960000 18000 1 AZST} - {3055708800 14400 0 AZT} - {3068409600 18000 1 AZST} - {3087158400 14400 0 AZT} - {3099859200 18000 1 AZST} - {3118608000 14400 0 AZT} - {3131913600 18000 1 AZST} - {3150057600 14400 0 AZT} - {3163363200 18000 1 AZST} - {3181507200 14400 0 AZT} - {3194812800 18000 1 AZST} - {3212956800 14400 0 AZT} - {3226262400 18000 1 AZST} - {3245011200 14400 0 AZT} - {3257712000 18000 1 AZST} - {3276460800 14400 0 AZT} - {3289161600 18000 1 AZST} - {3307910400 14400 0 AZT} - {3321216000 18000 1 AZST} - {3339360000 14400 0 AZT} - {3352665600 18000 1 AZST} - {3370809600 14400 0 AZT} - {3384115200 18000 1 AZST} - {3402864000 14400 0 AZT} - {3415564800 18000 1 AZST} - {3434313600 14400 0 AZT} - {3447014400 18000 1 AZST} - {3465763200 14400 0 AZT} - {3479068800 18000 1 AZST} - {3497212800 14400 0 AZT} - {3510518400 18000 1 AZST} - {3528662400 14400 0 AZT} - {3541968000 18000 1 AZST} - {3560112000 14400 0 AZT} - {3573417600 18000 1 AZST} - {3592166400 14400 0 AZT} - {3604867200 18000 1 AZST} - {3623616000 14400 0 AZT} - {3636316800 18000 1 AZST} - {3655065600 14400 0 AZT} - {3668371200 18000 1 AZST} - {3686515200 14400 0 AZT} - {3699820800 18000 1 AZST} - {3717964800 14400 0 AZT} - {3731270400 18000 1 AZST} - {3750019200 14400 0 AZT} - {3762720000 18000 1 AZST} - {3781468800 14400 0 AZT} - {3794169600 18000 1 AZST} - {3812918400 14400 0 AZT} - {3825619200 18000 1 AZST} - {3844368000 14400 0 AZT} - {3857673600 18000 1 AZST} - {3875817600 14400 0 AZT} - {3889123200 18000 1 AZST} - {3907267200 14400 0 AZT} - {3920572800 18000 1 AZST} - {3939321600 14400 0 AZT} - {3952022400 18000 1 AZST} - {3970771200 14400 0 AZT} - {3983472000 18000 1 AZST} - {4002220800 14400 0 AZT} - {4015526400 18000 1 AZST} - {4033670400 14400 0 AZT} - {4046976000 18000 1 AZST} - {4065120000 14400 0 AZT} - {4078425600 18000 1 AZST} - {4096569600 14400 0 AZT} } diff --git a/library/tzdata/Asia/Barnaul b/library/tzdata/Asia/Barnaul index 8072e34..f6a45da 100644 --- a/library/tzdata/Asia/Barnaul +++ b/library/tzdata/Asia/Barnaul @@ -24,8 +24,10 @@ set TZData(:Asia/Barnaul) { {622580400 25200 0 +07} {638305200 28800 1 +08} {654634800 25200 0 +07} - {670359600 28800 1 +08} - {686084400 25200 0 +07} + {670359600 21600 0 +07} + {670363200 25200 1 +07} + {686088000 21600 0 +06} + {695764800 25200 0 +08} {701798400 28800 1 +08} {717519600 25200 0 +07} {733258800 28800 1 +08} diff --git a/library/tzdata/Europe/Kaliningrad b/library/tzdata/Europe/Kaliningrad index d03f7d0..32d7aaa 100644 --- a/library/tzdata/Europe/Kaliningrad +++ b/library/tzdata/Europe/Kaliningrad @@ -35,11 +35,11 @@ set TZData(:Europe/Kaliningrad) { {559695600 10800 0 MSK} {575420400 14400 1 MSD} {591145200 10800 0 MSK} - {606870000 14400 1 MSD} - {622594800 10800 0 MSK} - {638319600 14400 1 MSD} - {654649200 10800 0 MSK} - {670374000 7200 0 EEMMTT} + {606870000 7200 0 EEMMTT} + {606873600 10800 1 EEST} + {622598400 7200 0 EET} + {638323200 10800 1 EEST} + {654652800 7200 0 EET} {670377600 10800 1 EEST} {686102400 7200 0 EET} {701816400 10800 1 EEST} diff --git a/library/tzdata/Europe/Vilnius b/library/tzdata/Europe/Vilnius index 62d5d87..5e73150 100644 --- a/library/tzdata/Europe/Vilnius +++ b/library/tzdata/Europe/Vilnius @@ -30,11 +30,12 @@ set TZData(:Europe/Vilnius) { {559695600 10800 0 MSK} {575420400 14400 1 MSD} {591145200 10800 0 MSK} - {606870000 14400 1 MSD} - {622594800 10800 0 MSK} - {638319600 14400 1 MSD} - {654649200 10800 0 MSK} - {670374000 10800 1 EEST} + {606870000 7200 0 EEMMTT} + {606873600 10800 1 EEST} + {622598400 7200 0 EET} + {638323200 10800 1 EEST} + {654652800 7200 0 EET} + {670377600 10800 1 EEST} {686102400 7200 0 EET} {701827200 10800 1 EEST} {717552000 7200 0 EET} diff --git a/library/tzdata/Europe/Volgograd b/library/tzdata/Europe/Volgograd index d71fb0b..ef33d4b 100644 --- a/library/tzdata/Europe/Volgograd +++ b/library/tzdata/Europe/Volgograd @@ -20,9 +20,9 @@ set TZData(:Europe/Volgograd) { {528242400 14400 0 VOLT} {543967200 18000 1 VOLST} {559692000 14400 0 VOLT} - {575416800 18000 1 VOLST} - {591141600 14400 0 VOLT} - {606866400 10800 0 VOLMMTT} + {575416800 10800 0 VOLMMTT} + {575420400 14400 1 VOLST} + {591145200 10800 0 VOLT} {606870000 14400 1 VOLST} {622594800 10800 0 VOLT} {638319600 14400 1 VOLST} diff --git a/library/tzdata/Pacific/Easter b/library/tzdata/Pacific/Easter index 4b45ba2..ef0f2d5 100644 --- a/library/tzdata/Pacific/Easter +++ b/library/tzdata/Pacific/Easter @@ -97,5 +97,172 @@ set TZData(:Pacific/Easter) { {1378612800 -18000 1 EASST} {1398567600 -21600 0 EAST} {1410062400 -18000 1 EASST} - {1430017200 -18000 0 EAST} + {1463281200 -21600 0 EAST} + {1471147200 -18000 1 EASST} + {1494730800 -21600 0 EAST} + {1502596800 -18000 1 EASST} + {1526180400 -21600 0 EAST} + {1534046400 -18000 1 EASST} + {1557630000 -21600 0 EAST} + {1565496000 -18000 1 EASST} + {1589079600 -21600 0 EAST} + {1596945600 -18000 1 EASST} + {1620529200 -21600 0 EAST} + {1629000000 -18000 1 EASST} + {1652583600 -21600 0 EAST} + {1660449600 -18000 1 EASST} + {1684033200 -21600 0 EAST} + {1691899200 -18000 1 EASST} + {1715482800 -21600 0 EAST} + {1723348800 -18000 1 EASST} + {1746932400 -21600 0 EAST} + {1754798400 -18000 1 EASST} + {1778382000 -21600 0 EAST} + {1786248000 -18000 1 EASST} + {1809831600 -21600 0 EAST} + {1818302400 -18000 1 EASST} + {1841886000 -21600 0 EAST} + {1849752000 -18000 1 EASST} + {1873335600 -21600 0 EAST} + {1881201600 -18000 1 EASST} + {1904785200 -21600 0 EAST} + {1912651200 -18000 1 EASST} + {1936234800 -21600 0 EAST} + {1944100800 -18000 1 EASST} + {1967684400 -21600 0 EAST} + {1976155200 -18000 1 EASST} + {1999738800 -21600 0 EAST} + {2007604800 -18000 1 EASST} + {2031188400 -21600 0 EAST} + {2039054400 -18000 1 EASST} + {2062638000 -21600 0 EAST} + {2070504000 -18000 1 EASST} + {2094087600 -21600 0 EAST} + {2101953600 -18000 1 EASST} + {2125537200 -21600 0 EAST} + {2133403200 -18000 1 EASST} + {2156986800 -21600 0 EAST} + {2165457600 -18000 1 EASST} + {2189041200 -21600 0 EAST} + {2196907200 -18000 1 EASST} + {2220490800 -21600 0 EAST} + {2228356800 -18000 1 EASST} + {2251940400 -21600 0 EAST} + {2259806400 -18000 1 EASST} + {2283390000 -21600 0 EAST} + {2291256000 -18000 1 EASST} + {2314839600 -21600 0 EAST} + {2322705600 -18000 1 EASST} + {2346894000 -21600 0 EAST} + {2354760000 -18000 1 EASST} + {2378343600 -21600 0 EAST} + {2386209600 -18000 1 EASST} + {2409793200 -21600 0 EAST} + {2417659200 -18000 1 EASST} + {2441242800 -21600 0 EAST} + {2449108800 -18000 1 EASST} + {2472692400 -21600 0 EAST} + {2480558400 -18000 1 EASST} + {2504142000 -21600 0 EAST} + {2512612800 -18000 1 EASST} + {2536196400 -21600 0 EAST} + {2544062400 -18000 1 EASST} + {2567646000 -21600 0 EAST} + {2575512000 -18000 1 EASST} + {2599095600 -21600 0 EAST} + {2606961600 -18000 1 EASST} + {2630545200 -21600 0 EAST} + {2638411200 -18000 1 EASST} + {2661994800 -21600 0 EAST} + {2669860800 -18000 1 EASST} + {2693444400 -21600 0 EAST} + {2701915200 -18000 1 EASST} + {2725498800 -21600 0 EAST} + {2733364800 -18000 1 EASST} + {2756948400 -21600 0 EAST} + {2764814400 -18000 1 EASST} + {2788398000 -21600 0 EAST} + {2796264000 -18000 1 EASST} + {2819847600 -21600 0 EAST} + {2827713600 -18000 1 EASST} + {2851297200 -21600 0 EAST} + {2859768000 -18000 1 EASST} + {2883351600 -21600 0 EAST} + {2891217600 -18000 1 EASST} + {2914801200 -21600 0 EAST} + {2922667200 -18000 1 EASST} + {2946250800 -21600 0 EAST} + {2954116800 -18000 1 EASST} + {2977700400 -21600 0 EAST} + {2985566400 -18000 1 EASST} + {3009150000 -21600 0 EAST} + {3017016000 -18000 1 EASST} + {3040599600 -21600 0 EAST} + {3049070400 -18000 1 EASST} + {3072654000 -21600 0 EAST} + {3080520000 -18000 1 EASST} + {3104103600 -21600 0 EAST} + {3111969600 -18000 1 EASST} + {3135553200 -21600 0 EAST} + {3143419200 -18000 1 EASST} + {3167002800 -21600 0 EAST} + {3174868800 -18000 1 EASST} + {3198452400 -21600 0 EAST} + {3206318400 -18000 1 EASST} + {3230506800 -21600 0 EAST} + {3238372800 -18000 1 EASST} + {3261956400 -21600 0 EAST} + {3269822400 -18000 1 EASST} + {3293406000 -21600 0 EAST} + {3301272000 -18000 1 EASST} + {3324855600 -21600 0 EAST} + {3332721600 -18000 1 EASST} + {3356305200 -21600 0 EAST} + {3364171200 -18000 1 EASST} + {3387754800 -21600 0 EAST} + {3396225600 -18000 1 EASST} + {3419809200 -21600 0 EAST} + {3427675200 -18000 1 EASST} + {3451258800 -21600 0 EAST} + {3459124800 -18000 1 EASST} + {3482708400 -21600 0 EAST} + {3490574400 -18000 1 EASST} + {3514158000 -21600 0 EAST} + {3522024000 -18000 1 EASST} + {3545607600 -21600 0 EAST} + {3553473600 -18000 1 EASST} + {3577057200 -21600 0 EAST} + {3585528000 -18000 1 EASST} + {3609111600 -21600 0 EAST} + {3616977600 -18000 1 EASST} + {3640561200 -21600 0 EAST} + {3648427200 -18000 1 EASST} + {3672010800 -21600 0 EAST} + {3679876800 -18000 1 EASST} + {3703460400 -21600 0 EAST} + {3711326400 -18000 1 EASST} + {3734910000 -21600 0 EAST} + {3743380800 -18000 1 EASST} + {3766964400 -21600 0 EAST} + {3774830400 -18000 1 EASST} + {3798414000 -21600 0 EAST} + {3806280000 -18000 1 EASST} + {3829863600 -21600 0 EAST} + {3837729600 -18000 1 EASST} + {3861313200 -21600 0 EAST} + {3869179200 -18000 1 EASST} + {3892762800 -21600 0 EAST} + {3900628800 -18000 1 EASST} + {3924212400 -21600 0 EAST} + {3932683200 -18000 1 EASST} + {3956266800 -21600 0 EAST} + {3964132800 -18000 1 EASST} + {3987716400 -21600 0 EAST} + {3995582400 -18000 1 EASST} + {4019166000 -21600 0 EAST} + {4027032000 -18000 1 EASST} + {4050615600 -21600 0 EAST} + {4058481600 -18000 1 EASST} + {4082065200 -21600 0 EAST} + {4089931200 -18000 1 EASST} } -- cgit v0.12 From b8cacee84f43fc8f72c924e0c0fcc7c2f53f5a04 Mon Sep 17 00:00:00 2001 From: dkf Date: Sun, 27 Mar 2016 15:43:07 +0000 Subject: Some OSX symbols builds create libtcl8.6.dylib.dSYM which is a directory. --- unix/Makefile.in | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/unix/Makefile.in b/unix/Makefile.in index 7604bc7..233584e 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -657,7 +657,7 @@ Makefile: $(UNIX_DIR)/Makefile.in $(DLTEST_DIR)/Makefile.in # $(SHELL) config.status clean: clean-packages - rm -f *.a *.o libtcl* core errs *~ \#* TAGS *.E a.out \ + rm -rf *.a *.o libtcl* core errs *~ \#* TAGS *.E a.out \ errors ${TCL_EXE} ${TCLTEST_EXE} lib.exp Tcl @DTRACE_HDR@ cd dltest ; $(MAKE) clean -- cgit v0.12 From 365eefedf170cdc365c5d948509ffb6d12b5ce23 Mon Sep 17 00:00:00 2001 From: dkf Date: Sun, 27 Mar 2016 16:37:11 +0000 Subject: [47ac84309b] Fix problems with [lreplace] compilation. --- generic/tclCompCmdsGR.c | 14 ++++++++++++-- tests/lreplace.test | 11 +++++++++++ 2 files changed, 23 insertions(+), 2 deletions(-) diff --git a/generic/tclCompCmdsGR.c b/generic/tclCompCmdsGR.c index 87ed745..9f430ea 100644 --- a/generic/tclCompCmdsGR.c +++ b/generic/tclCompCmdsGR.c @@ -1488,8 +1488,18 @@ TclCompileLreplaceCmd( return TCL_ERROR; } - if(idx2 != INDEX_END && idx2 >= 0 && idx2 < idx1) { - idx2 = idx1-1; + /* + * Compilation fails when one index is end-based but the other isn't. + * Fixing this will require more bytecodes, but this is a workaround for + * now. [Bug 47ac84309b] + */ + + if ((idx1 <= INDEX_END) != (idx2 <= INDEX_END)) { + return TCL_ERROR; + } + + if (idx2 != INDEX_END && idx2 >= 0 && idx2 < idx1) { + idx2 = idx1 - 1; } /* diff --git a/tests/lreplace.test b/tests/lreplace.test index e66a331..55a36a8 100644 --- a/tests/lreplace.test +++ b/tests/lreplace.test @@ -181,6 +181,17 @@ test lreplace-4.11 {lreplace end index first} { test lreplace-4.12 {lreplace end index first} { lreplace {0 1 2 3 4} end-2 2 a b c } {0 1 a b c 3 4} + +test lreplace-5.1 {compiled lreplace: Bug 47ac84309b} { + apply {x { + lreplace $x end 0 + }} {a b c} +} {a b c} +test lreplace-5.2 {compiled lreplace: Bug 47ac84309b} { + apply {x { + lreplace $x end 0 A + }} {a b c} +} {a b A c} # cleanup catch {unset foo} -- cgit v0.12 From 43308bf3c516fbe56b41a2d8e4ea948c63603b3e Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Sun, 27 Mar 2016 21:28:15 +0000 Subject: Better fix for [7d0db7c388f52de81]: In stead of adding dependencies to multiple Makefile lines, combine them --- unix/Makefile.in | 132 +++++++++++++++++++++++++++---------------------------- 1 file changed, 66 insertions(+), 66 deletions(-) diff --git a/unix/Makefile.in b/unix/Makefile.in index 16cfad7..d9f8bbc 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -584,7 +584,7 @@ MAC_OSX_SRCS = \ CYGWIN_SRCS = \ $(TOP_DIR)/win/tclWinError.c -DTRACE_HDR = @DTRACE_HDR@ +DTRACE_HDR = tclDTrace.h DTRACE_SRC = $(GENERIC_DIR)/tclDTrace.d @@ -1351,196 +1351,196 @@ tclThreadTest.o: $(GENERIC_DIR)/tclThreadTest.c tclTomMathInterface.o: $(GENERIC_DIR)/tclTomMathInterface.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(GENERIC_DIR)/tclTomMathInterface.c -bncore.o: $(TOMMATH_DIR)/bncore.c $(MATHHDRS) $(DTRACE_HDR) +bncore.o: $(TOMMATH_DIR)/bncore.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bncore.c -bn_reverse.o: $(TOMMATH_DIR)/bn_reverse.c $(MATHHDRS) $(DTRACE_HDR) +bn_reverse.o: $(TOMMATH_DIR)/bn_reverse.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_reverse.c -bn_fast_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_fast_s_mp_mul_digs.c $(MATHHDRS) $(DTRACE_HDR) +bn_fast_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_fast_s_mp_mul_digs.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_fast_s_mp_mul_digs.c -bn_fast_s_mp_sqr.o: $(TOMMATH_DIR)/bn_fast_s_mp_sqr.c $(MATHHDRS) $(DTRACE_HDR) +bn_fast_s_mp_sqr.o: $(TOMMATH_DIR)/bn_fast_s_mp_sqr.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_fast_s_mp_sqr.c -bn_mp_add.o: $(TOMMATH_DIR)/bn_mp_add.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_add.o: $(TOMMATH_DIR)/bn_mp_add.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_add.c -bn_mp_add_d.o: $(TOMMATH_DIR)/bn_mp_add_d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_add_d.o: $(TOMMATH_DIR)/bn_mp_add_d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_add_d.c -bn_mp_and.o: $(TOMMATH_DIR)/bn_mp_and.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_and.o: $(TOMMATH_DIR)/bn_mp_and.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_and.c -bn_mp_clamp.o: $(TOMMATH_DIR)/bn_mp_clamp.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_clamp.o: $(TOMMATH_DIR)/bn_mp_clamp.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_clamp.c -bn_mp_clear.o: $(TOMMATH_DIR)/bn_mp_clear.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_clear.o: $(TOMMATH_DIR)/bn_mp_clear.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_clear.c -bn_mp_clear_multi.o: $(TOMMATH_DIR)/bn_mp_clear_multi.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_clear_multi.o: $(TOMMATH_DIR)/bn_mp_clear_multi.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_clear_multi.c -bn_mp_cmp.o: $(TOMMATH_DIR)/bn_mp_cmp.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_cmp.o: $(TOMMATH_DIR)/bn_mp_cmp.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_cmp.c -bn_mp_cmp_d.o: $(TOMMATH_DIR)/bn_mp_cmp_d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_cmp_d.o: $(TOMMATH_DIR)/bn_mp_cmp_d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_cmp_d.c -bn_mp_cmp_mag.o: $(TOMMATH_DIR)/bn_mp_cmp_mag.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_cmp_mag.o: $(TOMMATH_DIR)/bn_mp_cmp_mag.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_cmp_mag.c -bn_mp_cnt_lsb.o: $(TOMMATH_DIR)/bn_mp_cnt_lsb.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_cnt_lsb.o: $(TOMMATH_DIR)/bn_mp_cnt_lsb.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_cnt_lsb.c -bn_mp_copy.o: $(TOMMATH_DIR)/bn_mp_copy.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_copy.o: $(TOMMATH_DIR)/bn_mp_copy.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_copy.c -bn_mp_count_bits.o: $(TOMMATH_DIR)/bn_mp_count_bits.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_count_bits.o: $(TOMMATH_DIR)/bn_mp_count_bits.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_count_bits.c -bn_mp_div.o: $(TOMMATH_DIR)/bn_mp_div.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_div.o: $(TOMMATH_DIR)/bn_mp_div.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_div.c -bn_mp_div_d.o: $(TOMMATH_DIR)/bn_mp_div_d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_div_d.o: $(TOMMATH_DIR)/bn_mp_div_d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_div_d.c -bn_mp_div_2.o: $(TOMMATH_DIR)/bn_mp_div_2.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_div_2.o: $(TOMMATH_DIR)/bn_mp_div_2.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_div_2.c -bn_mp_div_2d.o: $(TOMMATH_DIR)/bn_mp_div_2d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_div_2d.o: $(TOMMATH_DIR)/bn_mp_div_2d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_div_2d.c -bn_mp_div_3.o: $(TOMMATH_DIR)/bn_mp_div_3.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_div_3.o: $(TOMMATH_DIR)/bn_mp_div_3.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_div_3.c -bn_mp_exch.o: $(TOMMATH_DIR)/bn_mp_exch.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_exch.o: $(TOMMATH_DIR)/bn_mp_exch.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_exch.c -bn_mp_expt_d.o: $(TOMMATH_DIR)/bn_mp_expt_d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_expt_d.o: $(TOMMATH_DIR)/bn_mp_expt_d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_expt_d.c -bn_mp_grow.o: $(TOMMATH_DIR)/bn_mp_grow.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_grow.o: $(TOMMATH_DIR)/bn_mp_grow.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_grow.c -bn_mp_init.o: $(TOMMATH_DIR)/bn_mp_init.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_init.o: $(TOMMATH_DIR)/bn_mp_init.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init.c -bn_mp_init_copy.o: $(TOMMATH_DIR)/bn_mp_init_copy.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_init_copy.o: $(TOMMATH_DIR)/bn_mp_init_copy.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init_copy.c -bn_mp_init_multi.o: $(TOMMATH_DIR)/bn_mp_init_multi.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_init_multi.o: $(TOMMATH_DIR)/bn_mp_init_multi.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init_multi.c -bn_mp_init_set.o: $(TOMMATH_DIR)/bn_mp_init_set.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_init_set.o: $(TOMMATH_DIR)/bn_mp_init_set.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init_set.c -bn_mp_init_set_int.o: $(TOMMATH_DIR)/bn_mp_init_set_int.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_init_set_int.o: $(TOMMATH_DIR)/bn_mp_init_set_int.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init_set_int.c -bn_mp_init_size.o:$(TOMMATH_DIR)/bn_mp_init_size.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_init_size.o:$(TOMMATH_DIR)/bn_mp_init_size.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init_size.c -bn_mp_karatsuba_mul.o: $(TOMMATH_DIR)/bn_mp_karatsuba_mul.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_karatsuba_mul.o: $(TOMMATH_DIR)/bn_mp_karatsuba_mul.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_karatsuba_mul.c -bn_mp_karatsuba_sqr.o: $(TOMMATH_DIR)/bn_mp_karatsuba_sqr.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_karatsuba_sqr.o: $(TOMMATH_DIR)/bn_mp_karatsuba_sqr.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_karatsuba_sqr.c -bn_mp_lshd.o: $(TOMMATH_DIR)/bn_mp_lshd.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_lshd.o: $(TOMMATH_DIR)/bn_mp_lshd.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_lshd.c -bn_mp_mod.o: $(TOMMATH_DIR)/bn_mp_mod.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_mod.o: $(TOMMATH_DIR)/bn_mp_mod.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mod.c -bn_mp_mod_2d.o: $(TOMMATH_DIR)/bn_mp_mod_2d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_mod_2d.o: $(TOMMATH_DIR)/bn_mp_mod_2d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mod_2d.c -bn_mp_mul.o: $(TOMMATH_DIR)/bn_mp_mul.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_mul.o: $(TOMMATH_DIR)/bn_mp_mul.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mul.c -bn_mp_mul_2.o: $(TOMMATH_DIR)/bn_mp_mul_2.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_mul_2.o: $(TOMMATH_DIR)/bn_mp_mul_2.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mul_2.c -bn_mp_mul_2d.o: $(TOMMATH_DIR)/bn_mp_mul_2d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_mul_2d.o: $(TOMMATH_DIR)/bn_mp_mul_2d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mul_2d.c -bn_mp_mul_d.o: $(TOMMATH_DIR)/bn_mp_mul_d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_mul_d.o: $(TOMMATH_DIR)/bn_mp_mul_d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mul_d.c -bn_mp_neg.o: $(TOMMATH_DIR)/bn_mp_neg.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_neg.o: $(TOMMATH_DIR)/bn_mp_neg.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_neg.c -bn_mp_or.o: $(TOMMATH_DIR)/bn_mp_or.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_or.o: $(TOMMATH_DIR)/bn_mp_or.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_or.c -bn_mp_radix_size.o: $(TOMMATH_DIR)/bn_mp_radix_size.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_radix_size.o: $(TOMMATH_DIR)/bn_mp_radix_size.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_radix_size.c -bn_mp_radix_smap.o: $(TOMMATH_DIR)/bn_mp_radix_smap.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_radix_smap.o: $(TOMMATH_DIR)/bn_mp_radix_smap.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_radix_smap.c -bn_mp_read_radix.o: $(TOMMATH_DIR)/bn_mp_read_radix.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_read_radix.o: $(TOMMATH_DIR)/bn_mp_read_radix.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_read_radix.c -bn_mp_rshd.o: $(TOMMATH_DIR)/bn_mp_rshd.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_rshd.o: $(TOMMATH_DIR)/bn_mp_rshd.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_rshd.c -bn_mp_set.o: $(TOMMATH_DIR)/bn_mp_set.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_set.o: $(TOMMATH_DIR)/bn_mp_set.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_set.c -bn_mp_set_int.o: $(TOMMATH_DIR)/bn_mp_set_int.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_set_int.o: $(TOMMATH_DIR)/bn_mp_set_int.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_set_int.c -bn_mp_shrink.o: $(TOMMATH_DIR)/bn_mp_shrink.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_shrink.o: $(TOMMATH_DIR)/bn_mp_shrink.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_shrink.c -bn_mp_sqr.o: $(TOMMATH_DIR)/bn_mp_sqr.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_sqr.o: $(TOMMATH_DIR)/bn_mp_sqr.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_sqr.c -bn_mp_sqrt.o: $(TOMMATH_DIR)/bn_mp_sqrt.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_sqrt.o: $(TOMMATH_DIR)/bn_mp_sqrt.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_sqrt.c -bn_mp_sub.o: $(TOMMATH_DIR)/bn_mp_sub.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_sub.o: $(TOMMATH_DIR)/bn_mp_sub.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_sub.c -bn_mp_sub_d.o: $(TOMMATH_DIR)/bn_mp_sub_d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_sub_d.o: $(TOMMATH_DIR)/bn_mp_sub_d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_sub_d.c -bn_mp_to_unsigned_bin.o: $(TOMMATH_DIR)/bn_mp_to_unsigned_bin.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_to_unsigned_bin.o: $(TOMMATH_DIR)/bn_mp_to_unsigned_bin.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_to_unsigned_bin.c -bn_mp_to_unsigned_bin_n.o: $(TOMMATH_DIR)/bn_mp_to_unsigned_bin_n.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_to_unsigned_bin_n.o: $(TOMMATH_DIR)/bn_mp_to_unsigned_bin_n.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_to_unsigned_bin_n.c -bn_mp_toom_mul.o: $(TOMMATH_DIR)/bn_mp_toom_mul.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_toom_mul.o: $(TOMMATH_DIR)/bn_mp_toom_mul.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_toom_mul.c -bn_mp_toom_sqr.o: $(TOMMATH_DIR)/bn_mp_toom_sqr.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_toom_sqr.o: $(TOMMATH_DIR)/bn_mp_toom_sqr.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_toom_sqr.c -bn_mp_toradix_n.o: $(TOMMATH_DIR)/bn_mp_toradix_n.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_toradix_n.o: $(TOMMATH_DIR)/bn_mp_toradix_n.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_toradix_n.c -bn_mp_unsigned_bin_size.o: $(TOMMATH_DIR)/bn_mp_unsigned_bin_size.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_unsigned_bin_size.o: $(TOMMATH_DIR)/bn_mp_unsigned_bin_size.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_unsigned_bin_size.c -bn_mp_xor.o: $(TOMMATH_DIR)/bn_mp_xor.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_xor.o: $(TOMMATH_DIR)/bn_mp_xor.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_xor.c -bn_mp_zero.o: $(TOMMATH_DIR)/bn_mp_zero.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_zero.o: $(TOMMATH_DIR)/bn_mp_zero.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_zero.c -bn_s_mp_add.o: $(TOMMATH_DIR)/bn_s_mp_add.c $(MATHHDRS) $(DTRACE_HDR) +bn_s_mp_add.o: $(TOMMATH_DIR)/bn_s_mp_add.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_add.c -bn_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_s_mp_mul_digs.c $(MATHHDRS) $(DTRACE_HDR) +bn_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_s_mp_mul_digs.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_mul_digs.c -bn_s_mp_sqr.o: $(TOMMATH_DIR)/bn_s_mp_sqr.c $(MATHHDRS) $(DTRACE_HDR) +bn_s_mp_sqr.o: $(TOMMATH_DIR)/bn_s_mp_sqr.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_sqr.c -bn_s_mp_sub.o: $(TOMMATH_DIR)/bn_s_mp_sub.c $(MATHHDRS) $(DTRACE_HDR) +bn_s_mp_sub.o: $(TOMMATH_DIR)/bn_s_mp_sub.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_sub.c tclUnixChan.o: $(UNIX_DIR)/tclUnixChan.c $(IOHDR) @@ -1596,7 +1596,7 @@ tclWinError.o: $(TOP_DIR)/win/tclWinError.c # DTrace support -$(TCL_OBJS) $(STUB_LIB_OBJS) $(TCLSH_OBJS) $(TCLTEST_OBJS) $(XTTEST_OBJS): @DTRACE_HDR@ +$(TCL_OBJS) $(STUB_LIB_OBJS) $(TCLSH_OBJS) $(TCLTEST_OBJS) $(XTTEST_OBJS) $(TOMMATH_OBJS): @DTRACE_HDR@ $(DTRACE_HDR): $(DTRACE_SRC) $(DTRACE) -h $(DTRACE_SWITCHES) -o $@ -s $(DTRACE_SRC) -- cgit v0.12 From d5ff54059dda1b7a925361e016193915d3e1cccd Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 28 Mar 2016 19:03:14 +0000 Subject: There's a "parsedVarName" Tcl_ObjType that remembers how a variable name breaks down into the name of an array and the name of an element. It has been storing them in an intrep as a Tcl_Obj holding the array name and an allocated string holding the element name. This branch revises the intrep strategy to use Tcl_Obj's to hold both parts. This reduces copying and seems to simplify the code. Also "nulled out" the UpdateStringProc for the type which can never be called. I think this is a better answer, but I'd like any other informed opinions. --- generic/tclVar.c | 45 ++++++++++++++++++++++++++++++++++----------- 1 file changed, 34 insertions(+), 11 deletions(-) diff --git a/generic/tclVar.c b/generic/tclVar.c index 5574f30..3c1b01f 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -206,7 +206,9 @@ static Tcl_UpdateStringProc PanicOnUpdateVarName; static Tcl_FreeInternalRepProc FreeParsedVarName; static Tcl_DupInternalRepProc DupParsedVarName; +#if 0 static Tcl_UpdateStringProc UpdateParsedVarName; +#endif static Tcl_UpdateStringProc PanicOnUpdateVarName; static Tcl_SetFromAnyProc PanicOnSetVarName; @@ -237,7 +239,13 @@ static const Tcl_ObjType localVarNameType = { static const Tcl_ObjType tclParsedVarNameType = { "parsedVarName", - FreeParsedVarName, DupParsedVarName, UpdateParsedVarName, PanicOnSetVarName + FreeParsedVarName, DupParsedVarName, +#if 0 +UpdateParsedVarName, +#else +PanicOnUpdateVarName, +#endif + PanicOnSetVarName }; /* @@ -536,7 +544,9 @@ TclObjLookupVarEx( const char *errMsg = NULL; CallFrame *varFramePtr = iPtr->varFramePtr; const char *part2 = part2Ptr? TclGetString(part2Ptr):NULL; +#if 0 char *newPart2 = NULL; +#endif *arrayPtrPtr = NULL; if (typePtr == &localVarNameType) { @@ -583,9 +593,13 @@ TclObjLookupVarEx( } return NULL; } +#if 0 part2 = newPart2 = part1Ptr->internalRep.twoPtrValue.ptr2; if (newPart2) { part2Ptr = Tcl_NewStringObj(newPart2, -1); +#else + if ((part2Ptr = part1Ptr->internalRep.twoPtrValue.ptr2)) { +#endif if (createPart2) { Tcl_IncrRefCount(part2Ptr); } @@ -629,11 +643,15 @@ TclObjLookupVarEx( len2 = len1 - i - 2; len1 = i; +#if 0 newPart2 = ckalloc(len2 + 1); memcpy(newPart2, part2, (unsigned) len2); *(newPart2+len2) = '\0'; part2 = newPart2; part2Ptr = Tcl_NewStringObj(newPart2, -1); +#else + part2Ptr = Tcl_NewStringObj(part2, len2); +#endif if (createPart2) { Tcl_IncrRefCount(part2Ptr); } @@ -658,7 +676,12 @@ TclObjLookupVarEx( Tcl_IncrRefCount(part1Ptr); objPtr->internalRep.twoPtrValue.ptr1 = part1Ptr; +#if 0 objPtr->internalRep.twoPtrValue.ptr2 = (void *) part2; +#else + Tcl_IncrRefCount(part2Ptr); + objPtr->internalRep.twoPtrValue.ptr2 = part2Ptr; +#endif typePtr = part1Ptr->typePtr; part1 = TclGetString(part1Ptr); @@ -683,9 +706,11 @@ TclObjLookupVarEx( Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "VARNAME", TclGetString(part1Ptr), NULL); } +#if 0 if (newPart2) { Tcl_DecrRefCount(part2Ptr); } +#endif return NULL; } @@ -734,9 +759,11 @@ TclObjLookupVarEx( *arrayPtrPtr = varPtr; varPtr = TclLookupArrayElement(interp, part1Ptr, part2Ptr, flags, msg, createPart1, createPart2, varPtr, -1); +#if 0 if (newPart2) { Tcl_DecrRefCount(part2Ptr); } +#endif } return varPtr; } @@ -5592,11 +5619,11 @@ FreeParsedVarName( Tcl_Obj *objPtr) { register Tcl_Obj *arrayPtr = objPtr->internalRep.twoPtrValue.ptr1; - register char *elem = objPtr->internalRep.twoPtrValue.ptr2; + register Tcl_Obj *elem = objPtr->internalRep.twoPtrValue.ptr2; if (arrayPtr != NULL) { TclDecrRefCount(arrayPtr); - ckfree(elem); + TclDecrRefCount(elem); } objPtr->typePtr = NULL; } @@ -5607,17 +5634,11 @@ DupParsedVarName( Tcl_Obj *dupPtr) { register Tcl_Obj *arrayPtr = srcPtr->internalRep.twoPtrValue.ptr1; - register char *elem = srcPtr->internalRep.twoPtrValue.ptr2; - char *elemCopy; - unsigned elemLen; + register Tcl_Obj *elem = srcPtr->internalRep.twoPtrValue.ptr2; if (arrayPtr != NULL) { Tcl_IncrRefCount(arrayPtr); - elemLen = strlen(elem); - elemCopy = ckalloc(elemLen + 1); - memcpy(elemCopy, elem, elemLen); - *(elemCopy + elemLen) = '\0'; - elem = elemCopy; + Tcl_IncrRefCount(elem); } dupPtr->internalRep.twoPtrValue.ptr1 = arrayPtr; @@ -5625,6 +5646,7 @@ DupParsedVarName( dupPtr->typePtr = &tclParsedVarNameType; } +#if 0 static void UpdateParsedVarName( Tcl_Obj *objPtr) @@ -5659,6 +5681,7 @@ UpdateParsedVarName( *p++ = ')'; *p = '\0'; } +#endif /* *---------------------------------------------------------------------- -- cgit v0.12 From 20baf86d1e03655bb6d7fae562091e95fe52db15 Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 28 Mar 2016 21:24:22 +0000 Subject: The DupEncodingIntRep() routine is broken. It fails to set the typePtr field of the duplicated Tcl_Obj to indicate that the intrep is that of the &encodingType. The impact must be that refcounting of Tcl_Encodings are out of balance, at least in the (unusual?) case where "encoding" values need duplication. I hesitate to actually commit this fix until I have a test demonstrating the need for it, and a chance to see the impact on actual encoding operations. The lifetime management of encodings has a history of being tricky and raising controversy. More work required. --- generic/tclEncoding.c | 1 + 1 file changed, 1 insertion(+) diff --git a/generic/tclEncoding.c b/generic/tclEncoding.c index 4edebcf..32055a3 100644 --- a/generic/tclEncoding.c +++ b/generic/tclEncoding.c @@ -355,6 +355,7 @@ DupEncodingIntRep( Tcl_Obj *dupPtr) { dupPtr->internalRep.twoPtrValue.ptr1 = Tcl_GetEncoding(NULL, srcPtr->bytes); + dupPtr->typePtr = &encodingType; } /* -- cgit v0.12 From e586c259bcbae989eca56b696377488dfe656b20 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 29 Mar 2016 08:34:38 +0000 Subject: (cherry-pick): Better fix for [7d0db7c388f52de81]: In stead of adding dependencies to multiple Makefile lines, combine them --- unix/Makefile.in | 132 +++++++++++++++++++++++++++---------------------------- 1 file changed, 66 insertions(+), 66 deletions(-) diff --git a/unix/Makefile.in b/unix/Makefile.in index 233584e..b336074 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -584,7 +584,7 @@ MAC_OSX_SRCS = \ CYGWIN_SRCS = \ $(TOP_DIR)/win/tclWinError.c -DTRACE_HDR = @DTRACE_HDR@ +DTRACE_HDR = tclDTrace.h DTRACE_SRC = $(GENERIC_DIR)/tclDTrace.d @@ -1351,196 +1351,196 @@ tclThreadTest.o: $(GENERIC_DIR)/tclThreadTest.c tclTomMathInterface.o: $(GENERIC_DIR)/tclTomMathInterface.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(GENERIC_DIR)/tclTomMathInterface.c -bncore.o: $(TOMMATH_DIR)/bncore.c $(MATHHDRS) $(DTRACE_HDR) +bncore.o: $(TOMMATH_DIR)/bncore.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bncore.c -bn_reverse.o: $(TOMMATH_DIR)/bn_reverse.c $(MATHHDRS) $(DTRACE_HDR) +bn_reverse.o: $(TOMMATH_DIR)/bn_reverse.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_reverse.c -bn_fast_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_fast_s_mp_mul_digs.c $(MATHHDRS) $(DTRACE_HDR) +bn_fast_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_fast_s_mp_mul_digs.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_fast_s_mp_mul_digs.c -bn_fast_s_mp_sqr.o: $(TOMMATH_DIR)/bn_fast_s_mp_sqr.c $(MATHHDRS) $(DTRACE_HDR) +bn_fast_s_mp_sqr.o: $(TOMMATH_DIR)/bn_fast_s_mp_sqr.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_fast_s_mp_sqr.c -bn_mp_add.o: $(TOMMATH_DIR)/bn_mp_add.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_add.o: $(TOMMATH_DIR)/bn_mp_add.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_add.c -bn_mp_add_d.o: $(TOMMATH_DIR)/bn_mp_add_d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_add_d.o: $(TOMMATH_DIR)/bn_mp_add_d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_add_d.c -bn_mp_and.o: $(TOMMATH_DIR)/bn_mp_and.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_and.o: $(TOMMATH_DIR)/bn_mp_and.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_and.c -bn_mp_clamp.o: $(TOMMATH_DIR)/bn_mp_clamp.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_clamp.o: $(TOMMATH_DIR)/bn_mp_clamp.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_clamp.c -bn_mp_clear.o: $(TOMMATH_DIR)/bn_mp_clear.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_clear.o: $(TOMMATH_DIR)/bn_mp_clear.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_clear.c -bn_mp_clear_multi.o: $(TOMMATH_DIR)/bn_mp_clear_multi.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_clear_multi.o: $(TOMMATH_DIR)/bn_mp_clear_multi.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_clear_multi.c -bn_mp_cmp.o: $(TOMMATH_DIR)/bn_mp_cmp.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_cmp.o: $(TOMMATH_DIR)/bn_mp_cmp.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_cmp.c -bn_mp_cmp_d.o: $(TOMMATH_DIR)/bn_mp_cmp_d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_cmp_d.o: $(TOMMATH_DIR)/bn_mp_cmp_d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_cmp_d.c -bn_mp_cmp_mag.o: $(TOMMATH_DIR)/bn_mp_cmp_mag.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_cmp_mag.o: $(TOMMATH_DIR)/bn_mp_cmp_mag.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_cmp_mag.c -bn_mp_cnt_lsb.o: $(TOMMATH_DIR)/bn_mp_cnt_lsb.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_cnt_lsb.o: $(TOMMATH_DIR)/bn_mp_cnt_lsb.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_cnt_lsb.c -bn_mp_copy.o: $(TOMMATH_DIR)/bn_mp_copy.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_copy.o: $(TOMMATH_DIR)/bn_mp_copy.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_copy.c -bn_mp_count_bits.o: $(TOMMATH_DIR)/bn_mp_count_bits.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_count_bits.o: $(TOMMATH_DIR)/bn_mp_count_bits.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_count_bits.c -bn_mp_div.o: $(TOMMATH_DIR)/bn_mp_div.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_div.o: $(TOMMATH_DIR)/bn_mp_div.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_div.c -bn_mp_div_d.o: $(TOMMATH_DIR)/bn_mp_div_d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_div_d.o: $(TOMMATH_DIR)/bn_mp_div_d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_div_d.c -bn_mp_div_2.o: $(TOMMATH_DIR)/bn_mp_div_2.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_div_2.o: $(TOMMATH_DIR)/bn_mp_div_2.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_div_2.c -bn_mp_div_2d.o: $(TOMMATH_DIR)/bn_mp_div_2d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_div_2d.o: $(TOMMATH_DIR)/bn_mp_div_2d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_div_2d.c -bn_mp_div_3.o: $(TOMMATH_DIR)/bn_mp_div_3.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_div_3.o: $(TOMMATH_DIR)/bn_mp_div_3.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_div_3.c -bn_mp_exch.o: $(TOMMATH_DIR)/bn_mp_exch.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_exch.o: $(TOMMATH_DIR)/bn_mp_exch.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_exch.c -bn_mp_expt_d.o: $(TOMMATH_DIR)/bn_mp_expt_d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_expt_d.o: $(TOMMATH_DIR)/bn_mp_expt_d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_expt_d.c -bn_mp_grow.o: $(TOMMATH_DIR)/bn_mp_grow.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_grow.o: $(TOMMATH_DIR)/bn_mp_grow.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_grow.c -bn_mp_init.o: $(TOMMATH_DIR)/bn_mp_init.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_init.o: $(TOMMATH_DIR)/bn_mp_init.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init.c -bn_mp_init_copy.o: $(TOMMATH_DIR)/bn_mp_init_copy.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_init_copy.o: $(TOMMATH_DIR)/bn_mp_init_copy.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init_copy.c -bn_mp_init_multi.o: $(TOMMATH_DIR)/bn_mp_init_multi.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_init_multi.o: $(TOMMATH_DIR)/bn_mp_init_multi.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init_multi.c -bn_mp_init_set.o: $(TOMMATH_DIR)/bn_mp_init_set.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_init_set.o: $(TOMMATH_DIR)/bn_mp_init_set.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init_set.c -bn_mp_init_set_int.o: $(TOMMATH_DIR)/bn_mp_init_set_int.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_init_set_int.o: $(TOMMATH_DIR)/bn_mp_init_set_int.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init_set_int.c -bn_mp_init_size.o:$(TOMMATH_DIR)/bn_mp_init_size.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_init_size.o:$(TOMMATH_DIR)/bn_mp_init_size.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init_size.c -bn_mp_karatsuba_mul.o: $(TOMMATH_DIR)/bn_mp_karatsuba_mul.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_karatsuba_mul.o: $(TOMMATH_DIR)/bn_mp_karatsuba_mul.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_karatsuba_mul.c -bn_mp_karatsuba_sqr.o: $(TOMMATH_DIR)/bn_mp_karatsuba_sqr.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_karatsuba_sqr.o: $(TOMMATH_DIR)/bn_mp_karatsuba_sqr.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_karatsuba_sqr.c -bn_mp_lshd.o: $(TOMMATH_DIR)/bn_mp_lshd.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_lshd.o: $(TOMMATH_DIR)/bn_mp_lshd.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_lshd.c -bn_mp_mod.o: $(TOMMATH_DIR)/bn_mp_mod.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_mod.o: $(TOMMATH_DIR)/bn_mp_mod.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mod.c -bn_mp_mod_2d.o: $(TOMMATH_DIR)/bn_mp_mod_2d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_mod_2d.o: $(TOMMATH_DIR)/bn_mp_mod_2d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mod_2d.c -bn_mp_mul.o: $(TOMMATH_DIR)/bn_mp_mul.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_mul.o: $(TOMMATH_DIR)/bn_mp_mul.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mul.c -bn_mp_mul_2.o: $(TOMMATH_DIR)/bn_mp_mul_2.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_mul_2.o: $(TOMMATH_DIR)/bn_mp_mul_2.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mul_2.c -bn_mp_mul_2d.o: $(TOMMATH_DIR)/bn_mp_mul_2d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_mul_2d.o: $(TOMMATH_DIR)/bn_mp_mul_2d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mul_2d.c -bn_mp_mul_d.o: $(TOMMATH_DIR)/bn_mp_mul_d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_mul_d.o: $(TOMMATH_DIR)/bn_mp_mul_d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mul_d.c -bn_mp_neg.o: $(TOMMATH_DIR)/bn_mp_neg.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_neg.o: $(TOMMATH_DIR)/bn_mp_neg.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_neg.c -bn_mp_or.o: $(TOMMATH_DIR)/bn_mp_or.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_or.o: $(TOMMATH_DIR)/bn_mp_or.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_or.c -bn_mp_radix_size.o: $(TOMMATH_DIR)/bn_mp_radix_size.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_radix_size.o: $(TOMMATH_DIR)/bn_mp_radix_size.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_radix_size.c -bn_mp_radix_smap.o: $(TOMMATH_DIR)/bn_mp_radix_smap.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_radix_smap.o: $(TOMMATH_DIR)/bn_mp_radix_smap.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_radix_smap.c -bn_mp_read_radix.o: $(TOMMATH_DIR)/bn_mp_read_radix.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_read_radix.o: $(TOMMATH_DIR)/bn_mp_read_radix.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_read_radix.c -bn_mp_rshd.o: $(TOMMATH_DIR)/bn_mp_rshd.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_rshd.o: $(TOMMATH_DIR)/bn_mp_rshd.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_rshd.c -bn_mp_set.o: $(TOMMATH_DIR)/bn_mp_set.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_set.o: $(TOMMATH_DIR)/bn_mp_set.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_set.c -bn_mp_set_int.o: $(TOMMATH_DIR)/bn_mp_set_int.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_set_int.o: $(TOMMATH_DIR)/bn_mp_set_int.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_set_int.c -bn_mp_shrink.o: $(TOMMATH_DIR)/bn_mp_shrink.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_shrink.o: $(TOMMATH_DIR)/bn_mp_shrink.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_shrink.c -bn_mp_sqr.o: $(TOMMATH_DIR)/bn_mp_sqr.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_sqr.o: $(TOMMATH_DIR)/bn_mp_sqr.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_sqr.c -bn_mp_sqrt.o: $(TOMMATH_DIR)/bn_mp_sqrt.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_sqrt.o: $(TOMMATH_DIR)/bn_mp_sqrt.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_sqrt.c -bn_mp_sub.o: $(TOMMATH_DIR)/bn_mp_sub.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_sub.o: $(TOMMATH_DIR)/bn_mp_sub.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_sub.c -bn_mp_sub_d.o: $(TOMMATH_DIR)/bn_mp_sub_d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_sub_d.o: $(TOMMATH_DIR)/bn_mp_sub_d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_sub_d.c -bn_mp_to_unsigned_bin.o: $(TOMMATH_DIR)/bn_mp_to_unsigned_bin.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_to_unsigned_bin.o: $(TOMMATH_DIR)/bn_mp_to_unsigned_bin.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_to_unsigned_bin.c -bn_mp_to_unsigned_bin_n.o: $(TOMMATH_DIR)/bn_mp_to_unsigned_bin_n.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_to_unsigned_bin_n.o: $(TOMMATH_DIR)/bn_mp_to_unsigned_bin_n.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_to_unsigned_bin_n.c -bn_mp_toom_mul.o: $(TOMMATH_DIR)/bn_mp_toom_mul.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_toom_mul.o: $(TOMMATH_DIR)/bn_mp_toom_mul.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_toom_mul.c -bn_mp_toom_sqr.o: $(TOMMATH_DIR)/bn_mp_toom_sqr.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_toom_sqr.o: $(TOMMATH_DIR)/bn_mp_toom_sqr.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_toom_sqr.c -bn_mp_toradix_n.o: $(TOMMATH_DIR)/bn_mp_toradix_n.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_toradix_n.o: $(TOMMATH_DIR)/bn_mp_toradix_n.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_toradix_n.c -bn_mp_unsigned_bin_size.o: $(TOMMATH_DIR)/bn_mp_unsigned_bin_size.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_unsigned_bin_size.o: $(TOMMATH_DIR)/bn_mp_unsigned_bin_size.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_unsigned_bin_size.c -bn_mp_xor.o: $(TOMMATH_DIR)/bn_mp_xor.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_xor.o: $(TOMMATH_DIR)/bn_mp_xor.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_xor.c -bn_mp_zero.o: $(TOMMATH_DIR)/bn_mp_zero.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_zero.o: $(TOMMATH_DIR)/bn_mp_zero.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_zero.c -bn_s_mp_add.o: $(TOMMATH_DIR)/bn_s_mp_add.c $(MATHHDRS) $(DTRACE_HDR) +bn_s_mp_add.o: $(TOMMATH_DIR)/bn_s_mp_add.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_add.c -bn_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_s_mp_mul_digs.c $(MATHHDRS) $(DTRACE_HDR) +bn_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_s_mp_mul_digs.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_mul_digs.c -bn_s_mp_sqr.o: $(TOMMATH_DIR)/bn_s_mp_sqr.c $(MATHHDRS) $(DTRACE_HDR) +bn_s_mp_sqr.o: $(TOMMATH_DIR)/bn_s_mp_sqr.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_sqr.c -bn_s_mp_sub.o: $(TOMMATH_DIR)/bn_s_mp_sub.c $(MATHHDRS) $(DTRACE_HDR) +bn_s_mp_sub.o: $(TOMMATH_DIR)/bn_s_mp_sub.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_sub.c tclUnixChan.o: $(UNIX_DIR)/tclUnixChan.c $(IOHDR) @@ -1596,7 +1596,7 @@ tclWinError.o: $(TOP_DIR)/win/tclWinError.c # DTrace support -$(TCL_OBJS) $(STUB_LIB_OBJS) $(TCLSH_OBJS) $(TCLTEST_OBJS) $(XTTEST_OBJS): @DTRACE_HDR@ +$(TCL_OBJS) $(STUB_LIB_OBJS) $(TCLSH_OBJS) $(TCLTEST_OBJS) $(XTTEST_OBJS) $(TOMMATH_OBJS): @DTRACE_HDR@ $(DTRACE_HDR): $(DTRACE_SRC) $(DTRACE) -h $(DTRACE_SWITCHES) -o $@ -s $(DTRACE_SRC) -- cgit v0.12 From 75cbe0aa43accb4642e041fee2c68a893130a53a Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 29 Mar 2016 08:36:15 +0000 Subject: (cherry-pick): Better fix for [7d0db7c388f52de81]: In stead of adding dependencies to multiple Makefile lines, combine them --- unix/Makefile.in | 132 +++++++++++++++++++++++++++---------------------------- 1 file changed, 66 insertions(+), 66 deletions(-) diff --git a/unix/Makefile.in b/unix/Makefile.in index 722f85d..fc5b03f 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -529,7 +529,7 @@ MAC_OSX_SRCS = \ $(MAC_OSX_DIR)/tclMacOSXFCmd.c \ $(MAC_OSX_DIR)/tclMacOSXNotify.c -DTRACE_HDR = @DTRACE_HDR@ +DTRACE_HDR = tclDTrace.h DTRACE_SRC = $(GENERIC_DIR)/tclDTrace.d @@ -1238,196 +1238,196 @@ tclThreadTest.o: $(GENERIC_DIR)/tclThreadTest.c tclTomMathInterface.o: $(GENERIC_DIR)/tclTomMathInterface.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(GENERIC_DIR)/tclTomMathInterface.c -bncore.o: $(TOMMATH_DIR)/bncore.c $(MATHHDRS) $(DTRACE_HDR) +bncore.o: $(TOMMATH_DIR)/bncore.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bncore.c -bn_reverse.o: $(TOMMATH_DIR)/bn_reverse.c $(MATHHDRS) $(DTRACE_HDR) +bn_reverse.o: $(TOMMATH_DIR)/bn_reverse.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_reverse.c -bn_fast_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_fast_s_mp_mul_digs.c $(MATHHDRS) $(DTRACE_HDR) +bn_fast_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_fast_s_mp_mul_digs.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_fast_s_mp_mul_digs.c -bn_fast_s_mp_sqr.o: $(TOMMATH_DIR)/bn_fast_s_mp_sqr.c $(MATHHDRS) $(DTRACE_HDR) +bn_fast_s_mp_sqr.o: $(TOMMATH_DIR)/bn_fast_s_mp_sqr.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_fast_s_mp_sqr.c -bn_mp_add.o: $(TOMMATH_DIR)/bn_mp_add.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_add.o: $(TOMMATH_DIR)/bn_mp_add.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_add.c -bn_mp_add_d.o: $(TOMMATH_DIR)/bn_mp_add_d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_add_d.o: $(TOMMATH_DIR)/bn_mp_add_d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_add_d.c -bn_mp_and.o: $(TOMMATH_DIR)/bn_mp_and.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_and.o: $(TOMMATH_DIR)/bn_mp_and.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_and.c -bn_mp_clamp.o: $(TOMMATH_DIR)/bn_mp_clamp.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_clamp.o: $(TOMMATH_DIR)/bn_mp_clamp.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_clamp.c -bn_mp_clear.o: $(TOMMATH_DIR)/bn_mp_clear.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_clear.o: $(TOMMATH_DIR)/bn_mp_clear.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_clear.c -bn_mp_clear_multi.o: $(TOMMATH_DIR)/bn_mp_clear_multi.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_clear_multi.o: $(TOMMATH_DIR)/bn_mp_clear_multi.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_clear_multi.c -bn_mp_cmp.o: $(TOMMATH_DIR)/bn_mp_cmp.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_cmp.o: $(TOMMATH_DIR)/bn_mp_cmp.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_cmp.c -bn_mp_cmp_d.o: $(TOMMATH_DIR)/bn_mp_cmp_d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_cmp_d.o: $(TOMMATH_DIR)/bn_mp_cmp_d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_cmp_d.c -bn_mp_cmp_mag.o: $(TOMMATH_DIR)/bn_mp_cmp_mag.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_cmp_mag.o: $(TOMMATH_DIR)/bn_mp_cmp_mag.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_cmp_mag.c -bn_mp_cnt_lsb.o: $(TOMMATH_DIR)/bn_mp_cnt_lsb.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_cnt_lsb.o: $(TOMMATH_DIR)/bn_mp_cnt_lsb.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_cnt_lsb.c -bn_mp_copy.o: $(TOMMATH_DIR)/bn_mp_copy.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_copy.o: $(TOMMATH_DIR)/bn_mp_copy.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_copy.c -bn_mp_count_bits.o: $(TOMMATH_DIR)/bn_mp_count_bits.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_count_bits.o: $(TOMMATH_DIR)/bn_mp_count_bits.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_count_bits.c -bn_mp_div.o: $(TOMMATH_DIR)/bn_mp_div.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_div.o: $(TOMMATH_DIR)/bn_mp_div.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_div.c -bn_mp_div_d.o: $(TOMMATH_DIR)/bn_mp_div_d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_div_d.o: $(TOMMATH_DIR)/bn_mp_div_d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_div_d.c -bn_mp_div_2.o: $(TOMMATH_DIR)/bn_mp_div_2.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_div_2.o: $(TOMMATH_DIR)/bn_mp_div_2.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_div_2.c -bn_mp_div_2d.o: $(TOMMATH_DIR)/bn_mp_div_2d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_div_2d.o: $(TOMMATH_DIR)/bn_mp_div_2d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_div_2d.c -bn_mp_div_3.o: $(TOMMATH_DIR)/bn_mp_div_3.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_div_3.o: $(TOMMATH_DIR)/bn_mp_div_3.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_div_3.c -bn_mp_exch.o: $(TOMMATH_DIR)/bn_mp_exch.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_exch.o: $(TOMMATH_DIR)/bn_mp_exch.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_exch.c -bn_mp_expt_d.o: $(TOMMATH_DIR)/bn_mp_expt_d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_expt_d.o: $(TOMMATH_DIR)/bn_mp_expt_d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_expt_d.c -bn_mp_grow.o: $(TOMMATH_DIR)/bn_mp_grow.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_grow.o: $(TOMMATH_DIR)/bn_mp_grow.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_grow.c -bn_mp_init.o: $(TOMMATH_DIR)/bn_mp_init.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_init.o: $(TOMMATH_DIR)/bn_mp_init.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init.c -bn_mp_init_copy.o: $(TOMMATH_DIR)/bn_mp_init_copy.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_init_copy.o: $(TOMMATH_DIR)/bn_mp_init_copy.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init_copy.c -bn_mp_init_multi.o: $(TOMMATH_DIR)/bn_mp_init_multi.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_init_multi.o: $(TOMMATH_DIR)/bn_mp_init_multi.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init_multi.c -bn_mp_init_set.o: $(TOMMATH_DIR)/bn_mp_init_set.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_init_set.o: $(TOMMATH_DIR)/bn_mp_init_set.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init_set.c -bn_mp_init_set_int.o: $(TOMMATH_DIR)/bn_mp_init_set_int.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_init_set_int.o: $(TOMMATH_DIR)/bn_mp_init_set_int.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init_set_int.c -bn_mp_init_size.o:$(TOMMATH_DIR)/bn_mp_init_size.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_init_size.o:$(TOMMATH_DIR)/bn_mp_init_size.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_init_size.c -bn_mp_karatsuba_mul.o: $(TOMMATH_DIR)/bn_mp_karatsuba_mul.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_karatsuba_mul.o: $(TOMMATH_DIR)/bn_mp_karatsuba_mul.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_karatsuba_mul.c -bn_mp_karatsuba_sqr.o: $(TOMMATH_DIR)/bn_mp_karatsuba_sqr.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_karatsuba_sqr.o: $(TOMMATH_DIR)/bn_mp_karatsuba_sqr.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_karatsuba_sqr.c -bn_mp_lshd.o: $(TOMMATH_DIR)/bn_mp_lshd.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_lshd.o: $(TOMMATH_DIR)/bn_mp_lshd.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_lshd.c -bn_mp_mod.o: $(TOMMATH_DIR)/bn_mp_mod.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_mod.o: $(TOMMATH_DIR)/bn_mp_mod.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mod.c -bn_mp_mod_2d.o: $(TOMMATH_DIR)/bn_mp_mod_2d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_mod_2d.o: $(TOMMATH_DIR)/bn_mp_mod_2d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mod_2d.c -bn_mp_mul.o: $(TOMMATH_DIR)/bn_mp_mul.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_mul.o: $(TOMMATH_DIR)/bn_mp_mul.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mul.c -bn_mp_mul_2.o: $(TOMMATH_DIR)/bn_mp_mul_2.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_mul_2.o: $(TOMMATH_DIR)/bn_mp_mul_2.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mul_2.c -bn_mp_mul_2d.o: $(TOMMATH_DIR)/bn_mp_mul_2d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_mul_2d.o: $(TOMMATH_DIR)/bn_mp_mul_2d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mul_2d.c -bn_mp_mul_d.o: $(TOMMATH_DIR)/bn_mp_mul_d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_mul_d.o: $(TOMMATH_DIR)/bn_mp_mul_d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_mul_d.c -bn_mp_neg.o: $(TOMMATH_DIR)/bn_mp_neg.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_neg.o: $(TOMMATH_DIR)/bn_mp_neg.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_neg.c -bn_mp_or.o: $(TOMMATH_DIR)/bn_mp_or.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_or.o: $(TOMMATH_DIR)/bn_mp_or.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_or.c -bn_mp_radix_size.o: $(TOMMATH_DIR)/bn_mp_radix_size.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_radix_size.o: $(TOMMATH_DIR)/bn_mp_radix_size.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_radix_size.c -bn_mp_radix_smap.o: $(TOMMATH_DIR)/bn_mp_radix_smap.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_radix_smap.o: $(TOMMATH_DIR)/bn_mp_radix_smap.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_radix_smap.c -bn_mp_read_radix.o: $(TOMMATH_DIR)/bn_mp_read_radix.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_read_radix.o: $(TOMMATH_DIR)/bn_mp_read_radix.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_read_radix.c -bn_mp_rshd.o: $(TOMMATH_DIR)/bn_mp_rshd.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_rshd.o: $(TOMMATH_DIR)/bn_mp_rshd.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_rshd.c -bn_mp_set.o: $(TOMMATH_DIR)/bn_mp_set.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_set.o: $(TOMMATH_DIR)/bn_mp_set.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_set.c -bn_mp_set_int.o: $(TOMMATH_DIR)/bn_mp_set_int.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_set_int.o: $(TOMMATH_DIR)/bn_mp_set_int.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_set_int.c -bn_mp_shrink.o: $(TOMMATH_DIR)/bn_mp_shrink.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_shrink.o: $(TOMMATH_DIR)/bn_mp_shrink.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_shrink.c -bn_mp_sqr.o: $(TOMMATH_DIR)/bn_mp_sqr.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_sqr.o: $(TOMMATH_DIR)/bn_mp_sqr.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_sqr.c -bn_mp_sqrt.o: $(TOMMATH_DIR)/bn_mp_sqrt.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_sqrt.o: $(TOMMATH_DIR)/bn_mp_sqrt.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_sqrt.c -bn_mp_sub.o: $(TOMMATH_DIR)/bn_mp_sub.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_sub.o: $(TOMMATH_DIR)/bn_mp_sub.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_sub.c -bn_mp_sub_d.o: $(TOMMATH_DIR)/bn_mp_sub_d.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_sub_d.o: $(TOMMATH_DIR)/bn_mp_sub_d.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_sub_d.c -bn_mp_to_unsigned_bin.o: $(TOMMATH_DIR)/bn_mp_to_unsigned_bin.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_to_unsigned_bin.o: $(TOMMATH_DIR)/bn_mp_to_unsigned_bin.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_to_unsigned_bin.c -bn_mp_to_unsigned_bin_n.o: $(TOMMATH_DIR)/bn_mp_to_unsigned_bin_n.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_to_unsigned_bin_n.o: $(TOMMATH_DIR)/bn_mp_to_unsigned_bin_n.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_to_unsigned_bin_n.c -bn_mp_toom_mul.o: $(TOMMATH_DIR)/bn_mp_toom_mul.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_toom_mul.o: $(TOMMATH_DIR)/bn_mp_toom_mul.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_toom_mul.c -bn_mp_toom_sqr.o: $(TOMMATH_DIR)/bn_mp_toom_sqr.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_toom_sqr.o: $(TOMMATH_DIR)/bn_mp_toom_sqr.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_toom_sqr.c -bn_mp_toradix_n.o: $(TOMMATH_DIR)/bn_mp_toradix_n.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_toradix_n.o: $(TOMMATH_DIR)/bn_mp_toradix_n.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_toradix_n.c -bn_mp_unsigned_bin_size.o: $(TOMMATH_DIR)/bn_mp_unsigned_bin_size.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_unsigned_bin_size.o: $(TOMMATH_DIR)/bn_mp_unsigned_bin_size.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_unsigned_bin_size.c -bn_mp_xor.o: $(TOMMATH_DIR)/bn_mp_xor.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_xor.o: $(TOMMATH_DIR)/bn_mp_xor.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_xor.c -bn_mp_zero.o: $(TOMMATH_DIR)/bn_mp_zero.c $(MATHHDRS) $(DTRACE_HDR) +bn_mp_zero.o: $(TOMMATH_DIR)/bn_mp_zero.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_mp_zero.c -bn_s_mp_add.o: $(TOMMATH_DIR)/bn_s_mp_add.c $(MATHHDRS) $(DTRACE_HDR) +bn_s_mp_add.o: $(TOMMATH_DIR)/bn_s_mp_add.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_add.c -bn_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_s_mp_mul_digs.c $(MATHHDRS) $(DTRACE_HDR) +bn_s_mp_mul_digs.o: $(TOMMATH_DIR)/bn_s_mp_mul_digs.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_mul_digs.c -bn_s_mp_sqr.o: $(TOMMATH_DIR)/bn_s_mp_sqr.c $(MATHHDRS) $(DTRACE_HDR) +bn_s_mp_sqr.o: $(TOMMATH_DIR)/bn_s_mp_sqr.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_sqr.c -bn_s_mp_sub.o: $(TOMMATH_DIR)/bn_s_mp_sub.c $(MATHHDRS) $(DTRACE_HDR) +bn_s_mp_sub.o: $(TOMMATH_DIR)/bn_s_mp_sub.c $(MATHHDRS) $(CC) -c $(CC_SWITCHES) $(TOMMATH_DIR)/bn_s_mp_sub.c tclUnixChan.o: $(UNIX_DIR)/tclUnixChan.c $(IOHDR) @@ -1484,7 +1484,7 @@ tclWinError.o: $(TOP_DIR)/win/tclWinError.c # DTrace support -$(TCL_OBJS) $(STUB_LIB_OBJS) $(TCLSH_OBJS) $(TCLTEST_OBJS) $(XTTEST_OBJS): @DTRACE_HDR@ +$(TCL_OBJS) $(STUB_LIB_OBJS) $(TCLSH_OBJS) $(TCLTEST_OBJS) $(XTTEST_OBJS) $(TOMMATH_OBJS): @DTRACE_HDR@ $(DTRACE_HDR): $(DTRACE_SRC) $(DTRACE) -h $(DTRACE_SWITCHES) -o $@ -s $(DTRACE_SRC) -- cgit v0.12 From 77ccaefbb1482145de9b9276979318e88b9e542e Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 29 Mar 2016 10:17:02 +0000 Subject: Eliminate AT_FORK_INIT_VALUE/RESET_ATFORK_MUTEX macro's, since other values than the default are not supported anyway. This results in the elimination of (empty functions anyway) AtForkPrepare/AtForkParent. Also improve consistancy in some variable names. No change of functionality. --- unix/tclUnixNotfy.c | 70 ++++++----------------------------------------------- win/tclWinNotify.c | 8 +++--- win/tclWinSock.c | 17 +++---------- 3 files changed, 15 insertions(+), 80 deletions(-) diff --git a/unix/tclUnixNotfy.c b/unix/tclUnixNotfy.c index 1457890..3422089 100644 --- a/unix/tclUnixNotfy.c +++ b/unix/tclUnixNotfy.c @@ -1,7 +1,5 @@ -#define AT_FORK_INIT_VALUE 0 -#define RESET_ATFORK_MUTEX 1 /* - * tclUnixNotify.c -- + * tclUnixNotfy.c -- * * This file contains the implementation of the select()-based * Unix-specific notifier, which is the lowest-level part of the Tcl @@ -197,9 +195,7 @@ static Tcl_ThreadId notifierThread; #ifdef TCL_THREADS static void NotifierThreadProc(ClientData clientData); #if defined(HAVE_PTHREAD_ATFORK) -static int atForkInit = AT_FORK_INIT_VALUE; -static void AtForkPrepare(void); -static void AtForkParent(void); +static int atForkInit = 0; static void AtForkChild(void); #endif /* HAVE_PTHREAD_ATFORK */ #endif /* TCL_THREADS */ @@ -256,7 +252,7 @@ extern unsigned char __stdcall TranslateMessage(const MSG *); * Threaded-cygwin specific constants and functions in this file: */ -static const WCHAR NotfyClassName[] = L"TclNotifier"; +static const WCHAR className[] = L"TclNotifier"; static DWORD __stdcall NotifierProc(void *hwnd, unsigned int message, void *wParam, void *lParam); #endif /* TCL_THREADS && __CYGWIN__ */ @@ -345,7 +341,7 @@ Tcl_InitNotifier(void) class.hInstance = TclWinGetTclInstance(); class.hbrBackground = NULL; class.lpszMenuName = NULL; - class.lpszClassName = NotfyClassName; + class.lpszClassName = className; class.lpfnWndProc = NotifierProc; class.hIcon = NULL; class.hCursor = NULL; @@ -370,7 +366,7 @@ Tcl_InitNotifier(void) */ if (!atForkInit) { - int result = pthread_atfork(AtForkPrepare, AtForkParent, AtForkChild); + int result = pthread_atfork(NULL, NULL, AtForkChild); if (result) { Tcl_Panic("Tcl_InitNotifier: pthread_atfork failed"); @@ -1351,54 +1347,6 @@ NotifierThreadProc( /* *---------------------------------------------------------------------- * - * AtForkPrepare -- - * - * Lock the notifier in preparation for a fork. - * - * Results: - * None. - * - * Side effects: - * None. - * - *---------------------------------------------------------------------- - */ - -static void -AtForkPrepare(void) -{ -#if RESET_ATFORK_MUTEX == 0 - pthread_mutex_lock(¬ifierInitMutex); -#endif -} - -/* - *---------------------------------------------------------------------- - * - * AtForkParent -- - * - * Unlock the notifier in the parent after a fork. - * - * Results: - * None. - * - * Side effects: - * None. - * - *---------------------------------------------------------------------- - */ - -static void -AtForkParent(void) -{ -#if RESET_ATFORK_MUTEX == 0 - pthread_mutex_unlock(¬ifierInitMutex); -#endif -} - -/* - *---------------------------------------------------------------------- - * * AtForkChild -- * * Unlock and reinstall the notifier in the child after a fork. @@ -1418,12 +1366,8 @@ AtForkChild(void) if (notifierThreadRunning == 1) { pthread_cond_destroy(¬ifierCV); } -#if RESET_ATFORK_MUTEX == 0 - pthread_mutex_unlock(¬ifierInitMutex); -#else pthread_mutex_init(¬ifierInitMutex, NULL); pthread_mutex_init(¬ifierMutex, NULL); -#endif pthread_cond_init(¬ifierCV, NULL); /* @@ -1455,8 +1399,8 @@ AtForkChild(void) */ #ifdef __CYGWIN__ DestroyWindow(tsdPtr->hwnd); - tsdPtr->hwnd = CreateWindowExW(NULL, NotfyClassName, - NotfyClassName, 0, 0, 0, 0, 0, NULL, NULL, + tsdPtr->hwnd = CreateWindowExW(NULL, className, + className, 0, 0, 0, 0, 0, NULL, NULL, TclWinGetTclInstance(), NULL); ResetEvent(tsdPtr->event); #else diff --git a/win/tclWinNotify.c b/win/tclWinNotify.c index 4543b02..ea4035b 100644 --- a/win/tclWinNotify.c +++ b/win/tclWinNotify.c @@ -50,7 +50,7 @@ static Tcl_ThreadDataKey dataKey; */ static int notifierCount = 0; -static const TCHAR classname[] = TEXT("TclNotifier"); +static const TCHAR className[] = TEXT("TclNotifier"); TCL_DECLARE_MUTEX(notifierMutex) /* @@ -98,7 +98,7 @@ Tcl_InitNotifier(void) class.hInstance = TclWinGetTclInstance(); class.hbrBackground = NULL; class.lpszMenuName = NULL; - class.lpszClassName = classname; + class.lpszClassName = className; class.lpfnWndProc = NotifierProc; class.hIcon = NULL; class.hCursor = NULL; @@ -186,7 +186,7 @@ Tcl_FinalizeNotifier( Tcl_MutexLock(¬ifierMutex); notifierCount--; if (notifierCount == 0) { - UnregisterClass(classname, TclWinGetTclInstance()); + UnregisterClass(className, TclWinGetTclInstance()); } Tcl_MutexUnlock(¬ifierMutex); } @@ -350,7 +350,7 @@ Tcl_ServiceModeHook( */ if (mode == TCL_SERVICE_ALL && !tsdPtr->hwnd) { - tsdPtr->hwnd = CreateWindow(classname, classname, + tsdPtr->hwnd = CreateWindow(className, className, WS_TILED, 0, 0, 0, 0, NULL, NULL, TclWinGetTclInstance(), NULL); diff --git a/win/tclWinSock.c b/win/tclWinSock.c index a022ed5..c71aa96 100644 --- a/win/tclWinSock.c +++ b/win/tclWinSock.c @@ -62,15 +62,6 @@ #undef TCL_FEATURE_KEEPALIVE_NAGLE /* - * Make sure to remove the redirection defines set in tclWinPort.h that is in - * use in other sections of the core, except for us. - */ - -#undef getservbyname -#undef getsockopt -#undef setsockopt - -/* * Helper macros to make parts of this file clearer. The macros do exactly * what they say on the tin. :-) They also only ever refer to their arguments * once, and so can be used without regard to side effects. @@ -90,7 +81,7 @@ */ static int initialized = 0; -static const TCHAR classname[] = TEXT("TclSocket"); +static const TCHAR className[] = TEXT("TclSocket"); TCL_DECLARE_MUTEX(socketMutex) /* @@ -2336,7 +2327,7 @@ InitSockets(void) windowClass.hInstance = TclWinGetTclInstance(); windowClass.hbrBackground = NULL; windowClass.lpszMenuName = NULL; - windowClass.lpszClassName = classname; + windowClass.lpszClassName = className; windowClass.lpfnWndProc = SocketProc; windowClass.hIcon = NULL; windowClass.hCursor = NULL; @@ -2466,7 +2457,7 @@ SocketExitHandler( */ TclpFinalizeSockets(); - UnregisterClass(classname, TclWinGetTclInstance()); + UnregisterClass(className, TclWinGetTclInstance()); initialized = 0; Tcl_MutexUnlock(&socketMutex); } @@ -2992,7 +2983,7 @@ SocketThread( * Create a dummy window receiving socket events. */ - tsdPtr->hwnd = CreateWindow(classname, classname, WS_TILED, 0, 0, 0, 0, + tsdPtr->hwnd = CreateWindow(className, className, WS_TILED, 0, 0, 0, 0, NULL, NULL, windowClass.hInstance, arg); /* -- cgit v0.12 From dedc1d86a28c562377215bc2d0bf10e75ed00f1d Mon Sep 17 00:00:00 2001 From: dkf Date: Wed, 30 Mar 2016 08:46:43 +0000 Subject: [47ac84309b] Import of aspect's branch from his personal repository on chiselapp. --- generic/tclCmdIL.c | 2 +- generic/tclCompCmdsGR.c | 47 ++++++++++++++++++++++++++++++++++++++++------- tests/lreplace.test | 43 ++++++++++++++++++++++++++++++++++++++++--- 3 files changed, 81 insertions(+), 11 deletions(-) diff --git a/generic/tclCmdIL.c b/generic/tclCmdIL.c index 739dca9..0d35397 100644 --- a/generic/tclCmdIL.c +++ b/generic/tclCmdIL.c @@ -2755,7 +2755,7 @@ Tcl_LreplaceObjCmd( * (to allow for replacing the last elem). */ - if ((first >= listLen) && (listLen > 0)) { + if ((first > listLen) && (listLen > 0)) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "list doesn't contain element %s", TclGetString(objv[2]))); Tcl_SetErrorCode(interp, "TCL", "OPERATION", "LREPLACE", "BADIDX", diff --git a/generic/tclCompCmdsGR.c b/generic/tclCompCmdsGR.c index 9f430ea..ffe39ba 100644 --- a/generic/tclCompCmdsGR.c +++ b/generic/tclCompCmdsGR.c @@ -1489,6 +1489,15 @@ TclCompileLreplaceCmd( } /* + * idx1, idx2 are now in canonical form: + * + * - integer: [0,len+1] + * - end index: INDEX_END + * - -ive offset: INDEX_END-[len-1,0] + * - +ive offset: INDEX_END+1 + */ + + /* * Compilation fails when one index is end-based but the other isn't. * Fixing this will require more bytecodes, but this is a workaround for * now. [Bug 47ac84309b] @@ -1521,6 +1530,9 @@ TclCompileLreplaceCmd( idx1 = 0; goto dropEnd; } else { + if (idx2 < idx1) { + idx2 = idx1 - 1; + } if (idx1 > 0) { tmpObj = Tcl_NewIntObj(idx1); Tcl_IncrRefCount(tmpObj); @@ -1548,9 +1560,7 @@ TclCompileLreplaceCmd( idx1 = 0; goto replaceTail; } else { - if (idx1 > 0 && idx2 > 0 && idx2 < idx1) { - idx2 = idx1 - 1; - } else if (idx1 < 0 && idx2 < 0 && idx2 < idx1) { + if (idx2 < idx1) { idx2 = idx1 - 1; } if (idx1 > 0) { @@ -1566,7 +1576,7 @@ TclCompileLreplaceCmd( * operate on. */ - dropAll: + dropAll: /* This just ensures the arg is a list. */ TclEmitOpcode( INST_LIST_LENGTH, envPtr); TclEmitOpcode( INST_POP, envPtr); PushStringLiteral(envPtr, ""); @@ -1579,12 +1589,21 @@ TclCompileLreplaceCmd( dropRange: if (tmpObj != NULL) { + /* + * Emit bytecode to check the list length. + */ + TclEmitOpcode( INST_DUP, envPtr); TclEmitOpcode( INST_LIST_LENGTH, envPtr); TclEmitPush(TclAddLiteralObj(envPtr, tmpObj, NULL), envPtr); - TclEmitOpcode( INST_GT, envPtr); + TclEmitOpcode( INST_GE, envPtr); offset = CurrentOffset(envPtr); TclEmitInstInt1( INST_JUMP_TRUE1, 0, envPtr); + + /* + * Emit an error if we've been given an empty list. + */ + TclEmitOpcode( INST_DUP, envPtr); TclEmitOpcode( INST_LIST_LENGTH, envPtr); offset2 = CurrentOffset(envPtr); @@ -1635,16 +1654,30 @@ TclCompileLreplaceCmd( replaceRange: if (tmpObj != NULL) { + /* + * Emit bytecode to check the list length. + */ + TclEmitOpcode( INST_DUP, envPtr); TclEmitOpcode( INST_LIST_LENGTH, envPtr); + + /* + * Check the list length vs idx1. + */ + TclEmitPush(TclAddLiteralObj(envPtr, tmpObj, NULL), envPtr); - TclEmitOpcode( INST_GT, envPtr); + TclEmitOpcode( INST_GE, envPtr); offset = CurrentOffset(envPtr); TclEmitInstInt1( INST_JUMP_TRUE1, 0, envPtr); + + /* + * Emit an error if we've been given an empty list. + */ + TclEmitOpcode( INST_DUP, envPtr); TclEmitOpcode( INST_LIST_LENGTH, envPtr); offset2 = CurrentOffset(envPtr); - TclEmitInstInt1( INST_JUMP_TRUE1, 0, envPtr); + TclEmitInstInt1( INST_JUMP_FALSE1, 0, envPtr); TclEmitPush(TclAddLiteralObj(envPtr, Tcl_ObjPrintf( "list doesn't contain element %d", idx1), NULL), envPtr); CompileReturnInternal(envPtr, INST_RETURN_IMM, TCL_ERROR, 0, diff --git a/tests/lreplace.test b/tests/lreplace.test index 55a36a8..d7f8226 100644 --- a/tests/lreplace.test +++ b/tests/lreplace.test @@ -98,7 +98,12 @@ test lreplace-1.26 {lreplace command} { [set foo [lreplace $foo end end]] \ [set foo [lreplace $foo end end]] } {a {} {}} - +test lreplace-1.27 {lreplace command} { + lreplace x 1 1 +} x +test lreplace-1.28 {lreplace command} { + lreplace x 1 1 y +} {x y} test lreplace-2.1 {lreplace errors} { list [catch lreplace msg] $msg @@ -119,8 +124,8 @@ test lreplace-2.6 {lreplace errors} { list [catch {lreplace x 3 2} msg] $msg } {1 {list doesn't contain element 3}} test lreplace-2.7 {lreplace errors} { - list [catch {lreplace x 1 1} msg] $msg -} {1 {list doesn't contain element 1}} + list [catch {lreplace x 2 2} msg] $msg +} {1 {list doesn't contain element 2}} test lreplace-3.1 {lreplace won't modify shared argument objects} { proc p {} { @@ -181,6 +186,12 @@ test lreplace-4.11 {lreplace end index first} { test lreplace-4.12 {lreplace end index first} { lreplace {0 1 2 3 4} end-2 2 a b c } {0 1 a b c 3 4} +test lreplace-4.13 {lreplace empty list} { + lreplace {} 1 1 1 +} 1 +test lreplace-4.14 {lreplace empty list} { + lreplace {} 2 2 2 +} 2 test lreplace-5.1 {compiled lreplace: Bug 47ac84309b} { apply {x { @@ -192,6 +203,32 @@ test lreplace-5.2 {compiled lreplace: Bug 47ac84309b} { lreplace $x end 0 A }} {a b c} } {a b A c} + +# Testing for compiled behaviour. Far too many variations to check with +# spelt-out tests. Note that this *just* checks whether the compiled version +# and the interpreted version are the same, not whether the interpreted +# version is correct. +apply {{} { + set lss {{} {a} {a b c} {a b c d}} + set ins {{} A {A B}} + set idxs {-2 -1 0 1 2 3 end-3 end-2 end-1 end end+1 end+2} + set lreplace lreplace + + foreach ls $lss { + foreach a $idxs { + foreach b $idxs { + foreach i $ins { + set expected [list [catch {$lreplace $ls $a $b {*}$i} m] $m] + set tester [list lreplace $ls $a $b {*}$i] + set script [list catch $tester m] + set script "list \[$script\] \$m" + test lreplace-6.[incr n] {lreplace battery} \ + [list apply [list {} $script]] $expected + } + } + } + } +}} # cleanup catch {unset foo} -- cgit v0.12 From d1d3c40c1a9a1ee762a59b4f429bd05315440914 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 1 Apr 2016 13:00:25 +0000 Subject: RFE [0ef5e653ff4caf5f896ec1182e0aac38ab9a0c46|0ef5e653]: Add nsf to coffbase.txt --- win/coffbase.txt | 1 + 1 file changed, 1 insertion(+) diff --git a/win/coffbase.txt b/win/coffbase.txt index 0ebe18a..3314f26 100644 --- a/win/coffbase.txt +++ b/win/coffbase.txt @@ -34,6 +34,7 @@ tclsdl 0x10B20000 0x00080000 vqtcl 0x10C00000 0x00010000 tdbc 0x10C40000 0x00010000 thread 0x10C80000 0x00020000 +nsf 0x10ca0000 0x00080000 ; ; insert new packages here ; -- cgit v0.12 From 514885892ef31d0ce71e8b1740b7ef838f459d99 Mon Sep 17 00:00:00 2001 From: dkf Date: Sun, 3 Apr 2016 11:04:23 +0000 Subject: Working on fixing problem with short reads from compressing streams that breaks PNG creation in Tk. --- tests/zlib.test | 18 ++++++++++++++++++ 1 file changed, 18 insertions(+) diff --git a/tests/zlib.test b/tests/zlib.test index 7a486ba..93c00f1 100644 --- a/tests/zlib.test +++ b/tests/zlib.test @@ -875,6 +875,24 @@ test zlib-11.3 {Bug 3595576 variant} -setup { } -cleanup { removeFile $file } -returnCodes error -result {can't set "noSuchNs::foo": parent namespace doesn't exist} + +test zlib-12.1 {Tk Bug 9eb55debc5} -constraints zlib -setup { + set stream [zlib stream compress] +} -body { + set opts {} + for {set y 0} {$y < 60} {incr y} { + for {set line {};set x 0} {$x < 100} {incr x} { + append line [binary format ccc $x $y 128] + } + if {$y == 59} { + set opts -finalize + } + $stream put {*}$opts $line + } + string length [$stream get] +} -cleanup { + $stream close +} -result 12026 ::tcltest::cleanupTests return -- cgit v0.12 From 082197d5c8f618d1cf78dffd199915806079b7de Mon Sep 17 00:00:00 2001 From: dkf Date: Mon, 4 Apr 2016 10:03:40 +0000 Subject: Was handling the flushing at the end of the stream wrongly. --- generic/tclZlib.c | 9 +++++---- tests/zlib.test | 8 ++++---- 2 files changed, 9 insertions(+), 8 deletions(-) diff --git a/generic/tclZlib.c b/generic/tclZlib.c index 50d9a30..691d57a 100644 --- a/generic/tclZlib.c +++ b/generic/tclZlib.c @@ -1194,11 +1194,12 @@ Tcl_ZlibStreamPut( zshPtr->stream.next_out = (Bytef *) dataTmp; e = deflate(&zshPtr->stream, flush); - while (e == Z_BUF_ERROR) { + while (e == Z_BUF_ERROR || (flush == Z_FINISH && e == Z_OK)) { /* - * Output buffer too small to hold the data being generated; so - * put a new buffer into place after saving the old generated - * data to the outData list. + * Output buffer too small to hold the data being generated or we + * are doing the end-of-stream flush (which can spit out masses of + * data). This means we need to put a new buffer into place after + * saving the old generated data to the outData list. */ obj = Tcl_NewByteArrayObj((unsigned char *) dataTmp, outSize); diff --git a/tests/zlib.test b/tests/zlib.test index 93c00f1..968469d 100644 --- a/tests/zlib.test +++ b/tests/zlib.test @@ -879,8 +879,7 @@ test zlib-11.3 {Bug 3595576 variant} -setup { test zlib-12.1 {Tk Bug 9eb55debc5} -constraints zlib -setup { set stream [zlib stream compress] } -body { - set opts {} - for {set y 0} {$y < 60} {incr y} { + for {set opts {};set y 0} {$y < 60} {incr y} { for {set line {};set x 0} {$x < 100} {incr x} { append line [binary format ccc $x $y 128] } @@ -889,10 +888,11 @@ test zlib-12.1 {Tk Bug 9eb55debc5} -constraints zlib -setup { } $stream put {*}$opts $line } - string length [$stream get] + set data [$stream get] + list [string length $data] [string length [zlib decompress $data]] } -cleanup { $stream close -} -result 12026 +} -result {12026 18000} ::tcltest::cleanupTests return -- cgit v0.12 From 5b2c3db492538b64ee77ef4873492a9a101f55bc Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 4 Apr 2016 15:43:49 +0000 Subject: Merge *both* commits to get the TclAsyncReady optimization. Without both parts, the test interp-34.3.1 hangs. --- generic/tclExecute.c | 27 +++++++++++++++++---------- 1 file changed, 17 insertions(+), 10 deletions(-) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index d4077f5..823f619 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -35,14 +35,14 @@ #endif /* - * A mask (should be 2**n-1) that is used to work out when the bytecode engine - * should call Tcl_AsyncReady() to see whether there is a signal that needs - * handling. + * A counter that is used to work out when the bytecode engine should call + * Tcl_AsyncReady() to see whether there is a signal that needs handling, and + * other expensive periodic operations. */ -#ifndef ASYNC_CHECK_COUNT_MASK -# define ASYNC_CHECK_COUNT_MASK 63 -#endif /* !ASYNC_CHECK_COUNT_MASK */ +#ifndef ASYNC_CHECK_COUNT +# define ASYNC_CHECK_COUNT 64 +#endif /* !ASYNC_CHECK_COUNT */ /* * Boolean flag indicating whether the Tcl bytecode interpreter has been @@ -2115,8 +2115,14 @@ TEBCresume( * sporadically: no special need for speed. */ - int instructionCount = 0; /* Counter that is used to work out when to - * call Tcl_AsyncReady() */ + unsigned interruptCounter = 1; + /* Counter that is used to work out when to + * call Tcl_AsyncReady(). This must be 1 + * initially so that we call the async-check + * stanza early, otherwise there are command + * sequences that can make the interpreter + * busy-loop without an opportunity to + * recognise an interrupt. */ const char *curInstName; #ifdef TCL_COMPILE_DEBUG int traceInstructions; /* Whether we are doing instruction-level @@ -2314,10 +2320,11 @@ TEBCresume( /* * Check for asynchronous handlers [Bug 746722]; we do the check every - * ASYNC_CHECK_COUNT_MASK instruction, of the form (2**n-1). + * ASYNC_CHECK_COUNT instructions. */ - if ((instructionCount++ & ASYNC_CHECK_COUNT_MASK) == 0) { + if ((--interruptCounter) == 0) { + interruptCounter = ASYNC_CHECK_COUNT; DECACHE_STACK_INFO(); if (TclAsyncReady(iPtr)) { result = Tcl_AsyncInvoke(interp, result); -- cgit v0.12 From 7032562591b12990b1b45ad8815bb30513a4d8e1 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 5 Apr 2016 09:32:43 +0000 Subject: Rename UtfCount() to TclUtfCount() and use it in more places. Suggested by pspjuth here: [e99a79a32650e7e5] --- generic/tclInt.h | 1 + generic/tclStringObj.c | 4 ++-- generic/tclUtf.c | 22 ++++++++-------------- 3 files changed, 11 insertions(+), 16 deletions(-) diff --git a/generic/tclInt.h b/generic/tclInt.h index 34430c8..1dab0cb 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -3133,6 +3133,7 @@ MODULE_SCOPE int TclTrimLeft(const char *bytes, int numBytes, MODULE_SCOPE int TclTrimRight(const char *bytes, int numBytes, const char *trim, int numTrim); MODULE_SCOPE int TclUtfCasecmp(const char *cs, const char *ct); +MODULE_SCOPE int TclUtfCount(int ch); MODULE_SCOPE Tcl_Obj * TclpNativeToNormalized(ClientData clientData); MODULE_SCOPE Tcl_Obj * TclpFilesystemPathType(Tcl_Obj *pathPtr); MODULE_SCOPE int TclpDlopen(Tcl_Interp *interp, Tcl_Obj *pathPtr, diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index e718749..b480735 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2967,7 +2967,7 @@ ExtendStringRepWithUnicode( */ int i, origLength, size = 0; - char *dst, buf[TCL_UTF_MAX]; + char *dst; String *stringPtr = GET_STRING(objPtr); if (numChars < 0) { @@ -2993,7 +2993,7 @@ ExtendStringRepWithUnicode( } for (i = 0; i < numChars && size >= 0; i++) { - size += Tcl_UniCharToUtf((int) unicode[i], buf); + size += TclUtfCount(unicode[i]); } if (size < 0) { Tcl_Panic("max size for a Tcl value (%d bytes) exceeded", INT_MAX); diff --git a/generic/tclUtf.c b/generic/tclUtf.c index b878149..6c4cb7f 100644 --- a/generic/tclUtf.c +++ b/generic/tclUtf.c @@ -84,17 +84,11 @@ static const unsigned char totalBytes[256] = { 1,1,1,1 #endif }; - -/* - * Functions used only in this module. - */ - -static int UtfCount(int ch); /* *--------------------------------------------------------------------------- * - * UtfCount -- + * TclUtfCount -- * * Find the number of bytes in the Utf character "ch". * @@ -107,8 +101,8 @@ static int UtfCount(int ch); *--------------------------------------------------------------------------- */ -INLINE static int -UtfCount( +int +TclUtfCount( int ch) /* The Tcl_UniChar whose size is returned. */ { if ((ch > 0) && (ch < UNICODE_SELF)) { @@ -143,7 +137,7 @@ UtfCount( *--------------------------------------------------------------------------- */ -INLINE int +int Tcl_UniCharToUtf( int ch, /* The Tcl_UniChar to be stored in the * buffer. */ @@ -829,7 +823,7 @@ Tcl_UtfToUpper( * char to dst if its size is <= the original char. */ - if (bytes < UtfCount(upChar)) { + if (bytes < TclUtfCount(upChar)) { memcpy(dst, src, (size_t) bytes); dst += bytes; } else { @@ -882,7 +876,7 @@ Tcl_UtfToLower( * char to dst if its size is <= the original char. */ - if (bytes < UtfCount(lowChar)) { + if (bytes < TclUtfCount(lowChar)) { memcpy(dst, src, (size_t) bytes); dst += bytes; } else { @@ -932,7 +926,7 @@ Tcl_UtfToTitle( bytes = TclUtfToUniChar(src, &ch); titleChar = Tcl_UniCharToTitle(ch); - if (bytes < UtfCount(titleChar)) { + if (bytes < TclUtfCount(titleChar)) { memcpy(dst, src, (size_t) bytes); dst += bytes; } else { @@ -944,7 +938,7 @@ Tcl_UtfToTitle( bytes = TclUtfToUniChar(src, &ch); lowChar = Tcl_UniCharToLower(ch); - if (bytes < UtfCount(lowChar)) { + if (bytes < TclUtfCount(lowChar)) { memcpy(dst, src, (size_t) bytes); dst += bytes; } else { -- cgit v0.12 From 365f647c5fa50a235d51f440e9ecc29ecb014607 Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 6 Apr 2016 18:24:05 +0000 Subject: [213b6a2b9d] Make level parsing honor EIAS. --- generic/tclProc.c | 118 +++++++++++++++++++++-------------------------------- tests/uplevel.test | 99 ++++++++++++++++++++++++++++++++++++++++++++ 2 files changed, 145 insertions(+), 72 deletions(-) diff --git a/generic/tclProc.c b/generic/tclProc.c index ac65bde..9770d26 100644 --- a/generic/tclProc.c +++ b/generic/tclProc.c @@ -808,94 +808,68 @@ TclObjGetFrame( register Interp *iPtr = (Interp *) interp; int curLevel, level, result; CallFrame *framePtr; - const char *name; + const char *name = NULL; /* * Parse object to figure out which level number to go to. */ - result = 1; + result = 0; curLevel = iPtr->varFramePtr->level; - if (objPtr == NULL) { - name = "1"; - goto haveLevel1; - } - name = TclGetString(objPtr); - if (objPtr->typePtr == &levelReferenceType) { - if (objPtr->internalRep.twoPtrValue.ptr1) { - level = curLevel - PTR2INT(objPtr->internalRep.twoPtrValue.ptr2); - } else { - level = PTR2INT(objPtr->internalRep.twoPtrValue.ptr2); - } - if (level < 0) { - goto levelError; - } - /* TODO: Consider skipping the typePtr checks */ - } else if (objPtr->typePtr == &tclIntType -#ifndef TCL_WIDE_INT_IS_LONG - || objPtr->typePtr == &tclWideIntType -#endif - ) { - if (TclGetIntFromObj(NULL, objPtr, &level) != TCL_OK || level < 0) { - goto levelError; - } - level = curLevel - level; - } else if (*name == '#') { - if (Tcl_GetInt(interp, name+1, &level) != TCL_OK || level < 0) { - goto levelError; - } - - /* - * Cache for future reference. - */ - - TclFreeIntRep(objPtr); - objPtr->typePtr = &levelReferenceType; - objPtr->internalRep.twoPtrValue.ptr1 = (void *) 0; - objPtr->internalRep.twoPtrValue.ptr2 = INT2PTR(level); - } else if (isdigit(UCHAR(*name))) { /* INTL: digit */ - if (Tcl_GetInt(interp, name, &level) != TCL_OK) { - return -1; - } - - /* - * Cache for future reference. - */ + /* + * Check for integer first, since that has potential to spare us + * a generation of a stringrep. + */ - TclFreeIntRep(objPtr); - objPtr->typePtr = &levelReferenceType; - objPtr->internalRep.twoPtrValue.ptr1 = (void *) 1; - objPtr->internalRep.twoPtrValue.ptr2 = INT2PTR(level); + if (objPtr == NULL) { + /* Do nothing */ + } else if (TCL_OK == Tcl_GetIntFromObj(NULL, objPtr, &level) + && (level >= 0)) { level = curLevel - level; + result = 1; + } else if (objPtr->typePtr == &levelReferenceType) { + level = PTR2INT(objPtr->internalRep.twoPtrValue.ptr1); + result = 1; } else { - /* - * Don't cache as the object *isn't* a level reference (might even be - * NULL...) - */ + name = TclGetString(objPtr); + if (name[0] == '#') { + if (TCL_OK == Tcl_GetInt(NULL, name+1, &level) && level >= 0) { + TclFreeIntRep(objPtr); + objPtr->typePtr = &levelReferenceType; + objPtr->internalRep.twoPtrValue.ptr1 = INT2PTR(level); + result = 1; + } else { + result = -1; + } + } else if (isdigit(UCHAR(name[0]))) { /* INTL: digit */ + /* + * If this were an integer, we'd have succeeded already. + * Docs say we have to treat this as a 'bad level' error. + */ + result = -1; + } + } - haveLevel1: + if (result == 0) { level = curLevel - 1; - result = 0; + name = "1"; } - - /* - * Figure out which frame to use, and return it to the caller. - */ - - for (framePtr = iPtr->varFramePtr; framePtr != NULL; - framePtr = framePtr->callerVarPtr) { - if (framePtr->level == level) { - break; + if (result != -1) { + if (level >= 0) { + for (framePtr = iPtr->varFramePtr; framePtr != NULL; + framePtr = framePtr->callerVarPtr) { + if (framePtr->level == level) { + *framePtrPtr = framePtr; + return result; + } + } + } + if (name == NULL) { + name = TclGetString(objPtr); } } - if (framePtr == NULL) { - goto levelError; - } - *framePtrPtr = framePtr; - return result; - levelError: Tcl_SetObjResult(interp, Tcl_ObjPrintf("bad level \"%s\"", name)); Tcl_SetErrorCode(interp, "TCL", "VALUE", "STACKLEVEL", NULL); return -1; diff --git a/tests/uplevel.test b/tests/uplevel.test index 0410469..9ecc0d5 100644 --- a/tests/uplevel.test +++ b/tests/uplevel.test @@ -101,6 +101,105 @@ test uplevel-4.4 {error: not enough args} -returnCodes error -body { uplevel 1 }} } -result {wrong # args: should be "uplevel ?level? command ?arg ...?"} +test uplevel-4.5 {level parsing} { + apply {{} {uplevel 0 {}}} +} {} +test uplevel-4.6 {level parsing} { + apply {{} {uplevel #0 {}}} +} {} +test uplevel-4.7 {level parsing} { + apply {{} {uplevel [expr 0] {}}} +} {} +test uplevel-4.8 {level parsing} { + apply {{} {uplevel #[expr 0] {}}} +} {} +test uplevel-4.9 {level parsing} { + apply {{} {uplevel -0 {}}} +} {} +test uplevel-4.10 {level parsing} { + apply {{} {uplevel #-0 {}}} +} {} +test uplevel-4.11 {level parsing} { + apply {{} {uplevel [expr -0] {}}} +} {} +test uplevel-4.12 {level parsing} { + apply {{} {uplevel #[expr -0] {}}} +} {} +test uplevel-4.13 {level parsing} { + apply {{} {uplevel 1 {}}} +} {} +test uplevel-4.14 {level parsing} { + apply {{} {uplevel #1 {}}} +} {} +test uplevel-4.15 {level parsing} { + apply {{} {uplevel [expr 1] {}}} +} {} +test uplevel-4.16 {level parsing} { + apply {{} {uplevel #[expr 1] {}}} +} {} +test uplevel-4.17 {level parsing} { + apply {{} {uplevel -0xffffffff {}}} +} {} +test uplevel-4.18 {level parsing} { + apply {{} {uplevel #-0xffffffff {}}} +} {} +test uplevel-4.19 {level parsing} { + apply {{} {uplevel [expr -0xffffffff] {}}} +} {} +test uplevel-4.20 {level parsing} { + apply {{} {uplevel #[expr -0xffffffff] {}}} +} {} +test uplevel-4.21 {level parsing} -body { + apply {{} {uplevel -1 {}}} +} -returnCodes error -result {invalid command name "-1"} +test uplevel-4.22 {level parsing} -body { + apply {{} {uplevel #-1 {}}} +} -returnCodes error -result {bad level "#-1"} +test uplevel-4.23 {level parsing} -body { + apply {{} {uplevel [expr -1] {}}} +} -returnCodes error -result {invalid command name "-1"} +test uplevel-4.24 {level parsing} -body { + apply {{} {uplevel #[expr -1] {}}} +} -returnCodes error -result {bad level "#-1"} +test uplevel-4.25 {level parsing} -body { + apply {{} {uplevel 0xffffffff {}}} +} -returnCodes error -result {bad level "0xffffffff"} +test uplevel-4.26 {level parsing} -body { + apply {{} {uplevel #0xffffffff {}}} +} -returnCodes error -result {bad level "#0xffffffff"} +test uplevel-4.27 {level parsing} -body { + apply {{} {uplevel [expr 0xffffffff] {}}} +} -returnCodes error -result {bad level "4294967295"} +test uplevel-4.28 {level parsing} -body { + apply {{} {uplevel #[expr 0xffffffff] {}}} +} -returnCodes error -result {bad level "#4294967295"} +test uplevel-4.29 {level parsing} -body { + apply {{} {uplevel 0.2 {}}} +} -returnCodes error -result {bad level "0.2"} +test uplevel-4.30 {level parsing} -body { + apply {{} {uplevel #0.2 {}}} +} -returnCodes error -result {bad level "#0.2"} +test uplevel-4.31 {level parsing} -body { + apply {{} {uplevel [expr 0.2] {}}} +} -returnCodes error -result {bad level "0.2"} +test uplevel-4.32 {level parsing} -body { + apply {{} {uplevel #[expr 0.2] {}}} +} -returnCodes error -result {bad level "#0.2"} +test uplevel-4.33 {level parsing} -body { + apply {{} {uplevel .2 {}}} +} -returnCodes error -result {invalid command name ".2"} +test uplevel-4.34 {level parsing} -body { + apply {{} {uplevel #.2 {}}} +} -returnCodes error -result {bad level "#.2"} +test uplevel-4.35 {level parsing} -body { + apply {{} {uplevel [expr .2] {}}} +} -returnCodes error -result {bad level "0.2"} +test uplevel-4.36 {level parsing} -body { + apply {{} {uplevel #[expr .2] {}}} +} -returnCodes error -result {bad level "#0.2"} + + + proc a2 {} { uplevel a3 -- cgit v0.12 From b6e7e4e4283f3809245d72b487eb5cc65cc6e95b Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 7 Apr 2016 14:54:39 +0000 Subject: Tidy up the last commit. --- generic/tclProc.c | 13 ++++++------- 1 file changed, 6 insertions(+), 7 deletions(-) diff --git a/generic/tclProc.c b/generic/tclProc.c index 9770d26..172b860 100644 --- a/generic/tclProc.c +++ b/generic/tclProc.c @@ -69,9 +69,8 @@ const Tcl_ObjType tclProcBodyType = { }; /* - * The [upvar]/[uplevel] level reference type. Uses the twoPtrValue field, - * encoding the type of level reference in ptr and the actual parsed out - * offset in ptr2. + * The [upvar]/[uplevel] level reference type. Uses the longValue field + * to remember the integer value of a parsed # format. * * Uses the default behaviour throughout, and never disposes of the string * rep; it's just a cache type. @@ -785,7 +784,7 @@ TclGetFrame( * Results: * The return value is -1 if an error occurred in finding the frame (in * this case an error message is left in the interp's result). 1 is - * returned if objPtr was either a number or a number preceded by "#" and + * returned if objPtr was either an int or an int preceded by "#" and * it specified a valid frame. 0 is returned if objPtr isn't one of the * two things above (in this case, the lookup acts as if objPtr were * "1"). The variable pointed to by framePtrPtr is filled in with the @@ -807,7 +806,6 @@ TclObjGetFrame( { register Interp *iPtr = (Interp *) interp; int curLevel, level, result; - CallFrame *framePtr; const char *name = NULL; /* @@ -829,7 +827,7 @@ TclObjGetFrame( level = curLevel - level; result = 1; } else if (objPtr->typePtr == &levelReferenceType) { - level = PTR2INT(objPtr->internalRep.twoPtrValue.ptr1); + level = (int) objPtr->internalRep.longValue; result = 1; } else { name = TclGetString(objPtr); @@ -837,7 +835,7 @@ TclObjGetFrame( if (TCL_OK == Tcl_GetInt(NULL, name+1, &level) && level >= 0) { TclFreeIntRep(objPtr); objPtr->typePtr = &levelReferenceType; - objPtr->internalRep.twoPtrValue.ptr1 = INT2PTR(level); + objPtr->internalRep.longValue = level; result = 1; } else { result = -1; @@ -857,6 +855,7 @@ TclObjGetFrame( } if (result != -1) { if (level >= 0) { + CallFrame *framePtr; for (framePtr = iPtr->varFramePtr; framePtr != NULL; framePtr = framePtr->callerVarPtr) { if (framePtr->level == level) { -- cgit v0.12 From 78b187fe71dba0f3710be978050e08fde81efd85 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 8 Apr 2016 12:23:50 +0000 Subject: Fix [8663689908d3304a74fee525cd04aa4162e86391|8663689908d3]: regexp \\w missing characters --- generic/regc_lex.c | 19 ++++++++++++++++--- tests/utf.test | 2 +- 2 files changed, 17 insertions(+), 4 deletions(-) diff --git a/generic/regc_lex.c b/generic/regc_lex.c index 8d07c59..51cf8a4 100644 --- a/generic/regc_lex.c +++ b/generic/regc_lex.c @@ -256,20 +256,33 @@ static const chr brbacks[] = { /* \s within brackets */ CHR('s'), CHR('p'), CHR('a'), CHR('c'), CHR('e'), CHR(':'), CHR(']') }; + +#define PUNCT_CONN \ + CHR('_'), \ + 0x203f /* UNDERTIE */, \ + 0x2040 /* CHARACTER TIE */,\ + 0x2054 /* INVERTED UNDERTIE */,\ + 0xfe33 /* PRESENTATION FORM FOR VERTICAL LOW LINE */, \ + 0xfe34 /* PRESENTATION FORM FOR VERTICAL WAVY LOW LINE */, \ + 0xfe4d /* DASHED LOW LINE */, \ + 0xfe4e /* CENTRELINE LOW LINE */, \ + 0xfe4f /* WAVY LOW LINE */, \ + 0xff3f /* FULLWIDTH LOW LINE */ + static const chr backw[] = { /* \w */ CHR('['), CHR('['), CHR(':'), CHR('a'), CHR('l'), CHR('n'), CHR('u'), CHR('m'), - CHR(':'), CHR(']'), CHR('_'), CHR(']') + CHR(':'), CHR(']'), PUNCT_CONN, CHR(']') }; static const chr backW[] = { /* \W */ CHR('['), CHR('^'), CHR('['), CHR(':'), CHR('a'), CHR('l'), CHR('n'), CHR('u'), CHR('m'), - CHR(':'), CHR(']'), CHR('_'), CHR(']') + CHR(':'), CHR(']'), PUNCT_CONN, CHR(']') }; static const chr brbackw[] = { /* \w within brackets */ CHR('['), CHR(':'), CHR('a'), CHR('l'), CHR('n'), CHR('u'), CHR('m'), - CHR(':'), CHR(']'), CHR('_') + CHR(':'), CHR(']'), PUNCT_CONN }; /* diff --git a/tests/utf.test b/tests/utf.test index 30200c1..e8ee374 100644 --- a/tests/utf.test +++ b/tests/utf.test @@ -283,7 +283,7 @@ test utf-21.1 {TclUniCharIsAlnum} { } {1} test utf-21.2 {unicode alnum char in regc_locale.c} { # this returns 1 with Unicode 7 compliance - list [regexp {^[[:alnum:]]+$} \u1040\u021f\u0220] [regexp {^\w+$} \u1040\u021f\u0220] + list [regexp {^[[:alnum:]]+$} \u1040\u021f\u0220] [regexp {^\w+$} \u1040\u021f\u0220_\u203f\u2040\u2054\ufe33\ufe34\ufe4d\ufe4e\ufe4f\uff3f] } {1 1} test utf-21.3 {unicode print char in regc_locale.c} { # this returns 1 with Unicode 7 compliance -- cgit v0.12 From daaf750d95e22d23e47f846f89b0d7033b4eb0bd Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 8 Apr 2016 13:27:57 +0000 Subject: Fix [2538f373ffc78d6dba9c3d973c147a84fdd9bbd8|2538f373ffc78d6d]: crash in Tcl_OpenTcpServer() on Windows --- win/tclWinSock.c | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/win/tclWinSock.c b/win/tclWinSock.c index a022ed5..da2e60a 100644 --- a/win/tclWinSock.c +++ b/win/tclWinSock.c @@ -2061,7 +2061,6 @@ Tcl_OpenTcpServer( char channelName[SOCK_CHAN_LENGTH]; u_long flag = 1; /* Indicates nonblocking mode. */ const char *errorMsg = NULL; - ThreadSpecificData *tsdPtr = TclThreadDataKeyGet(&dataKey); if (TclpHasSockets(interp) != TCL_OK) { return NULL; @@ -2177,6 +2176,7 @@ error: } if (statePtr != NULL) { + ThreadSpecificData *tsdPtr = TclThreadDataKeyGet(&dataKey); statePtr->acceptProc = acceptProc; statePtr->acceptProcData = acceptProcData; -- cgit v0.12 From 63b9112f89a2f6938b767af98c7747fcbc167f2a Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Sun, 10 Apr 2016 15:58:19 +0000 Subject: Fix [07d13d99b0a9]: Who broke TCL 8.6 and Tclblend ? --- generic/tclObj.c | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/generic/tclObj.c b/generic/tclObj.c index c641152..628c3a7 100644 --- a/generic/tclObj.c +++ b/generic/tclObj.c @@ -320,7 +320,7 @@ const Tcl_HashKeyType tclObjHashKeyType = { * does allow them to delete a command when references to it are gone, which * is fragile but useful given their somewhat-OO style. Because of this, this * structure MUST NOT be const so that the C compiler puts the data in - * writable memory. [Bug 2558422] + * writable memory. [Bug 2558422] [Bug 07d13d99b0a9] * TODO: Provide a better API for those extensions so that they can coexist... */ @@ -4176,7 +4176,8 @@ Tcl_GetCommandFromObj( * had is invalid one way or another. */ - if (SetCmdNameFromAny(interp, objPtr) != TCL_OK) { + /* See [] why we cannot call SetCmdNameFromAny() directly here. */ + if (tclCmdNameType.setFromAnyProc(interp, objPtr) != TCL_OK) { return NULL; } resPtr = objPtr->internalRep.twoPtrValue.ptr1; -- cgit v0.12 From 5f08f4b52618056de417f6d543d5bd596d9197eb Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 11 Apr 2016 17:29:47 +0000 Subject: [d1f55451c6] Remove unnecessary panic routines. --- generic/tclVar.c | 30 ++---------------------------- 1 file changed, 2 insertions(+), 28 deletions(-) diff --git a/generic/tclVar.c b/generic/tclVar.c index be035f7..b5b5b10 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -202,14 +202,10 @@ MODULE_SCOPE Var * TclLookupSimpleVar(Tcl_Interp *interp, static Tcl_DupInternalRepProc DupLocalVarName; static Tcl_FreeInternalRepProc FreeLocalVarName; -static Tcl_UpdateStringProc PanicOnUpdateVarName; static Tcl_FreeInternalRepProc FreeParsedVarName; static Tcl_DupInternalRepProc DupParsedVarName; -static Tcl_UpdateStringProc PanicOnUpdateVarName; -static Tcl_SetFromAnyProc PanicOnSetVarName; - /* * Types of Tcl_Objs used to cache variable lookups. * @@ -231,12 +227,12 @@ static Tcl_SetFromAnyProc PanicOnSetVarName; static const Tcl_ObjType localVarNameType = { "localVarName", - FreeLocalVarName, DupLocalVarName, PanicOnUpdateVarName, PanicOnSetVarName + FreeLocalVarName, DupLocalVarName, NULL, NULL }; static const Tcl_ObjType tclParsedVarNameType = { "parsedVarName", - FreeParsedVarName, DupParsedVarName, PanicOnUpdateVarName, PanicOnSetVarName + FreeParsedVarName, DupParsedVarName, NULL, NULL }; /* @@ -5505,28 +5501,6 @@ TclObjVarErrMsg( */ /* - * Panic functions that should never be called in normal operation. - */ - -static void -PanicOnUpdateVarName( - Tcl_Obj *objPtr) -{ - Tcl_Panic("%s of type %s should not be called", "updateStringProc", - objPtr->typePtr->name); -} - -static int -PanicOnSetVarName( - Tcl_Interp *interp, - Tcl_Obj *objPtr) -{ - Tcl_Panic("%s of type %s should not be called", "setFromAnyProc", - objPtr->typePtr->name); - return TCL_ERROR; -} - -/* * localVarName - * * INTERNALREP DEFINITION: -- cgit v0.12 From 9a625d23f10c30494d1e132eb1bb57bf7486d26b Mon Sep 17 00:00:00 2001 From: gahr Date: Wed, 20 Apr 2016 19:27:31 +0000 Subject: Implement msec and usec verbosity levels in tcltest::configure --- doc/tcltest.n | 8 ++++++-- library/tcltest/tcltest.tcl | 36 ++++++++++++++++++++++++++++++++---- 2 files changed, 38 insertions(+), 6 deletions(-) diff --git a/doc/tcltest.n b/doc/tcltest.n index cedc763..ac8b73b 100644 --- a/doc/tcltest.n +++ b/doc/tcltest.n @@ -872,8 +872,8 @@ harness are doing. . Sets the type of output verbosity desired to \fIlevel\fR, a list of zero or more of the elements \fBbody\fR, \fBpass\fR, -\fBskip\fR, \fBstart\fR, \fBerror\fR and \fBline\fR. Default value -is +\fBskip\fR, \fBstart\fR, \fBerror\fR, \fBline\fR, \fBmsec\fR and \fBusec\fR. +Default value is .QW "\fBbody error\fR" . Levels are defined as: .RS @@ -890,6 +890,10 @@ Print errorInfo and errorCode, if they exist, when a test return code does not match its expected return code .IP "line (\fBl\fR)" Print source file line information of failed tests +.IP "msec (\fBm\fR)" +Print each test's execution time in milliseconds +.IP "usec (\fBu\fR)" +Print each test's execution time in microseconds .PP The single letter abbreviations noted above are also recognized so that diff --git a/library/tcltest/tcltest.tcl b/library/tcltest/tcltest.tcl index 29ef778..30965b8 100644 --- a/library/tcltest/tcltest.tcl +++ b/library/tcltest/tcltest.tcl @@ -611,16 +611,27 @@ namespace eval tcltest { proc AcceptVerbose { level } { set level [AcceptList $level] + set levelMap { + l list + p pass + b body + s skip + t start + e error + l line + m msec + u usec + } + set levelRegexp "^([join [dict values $levelMap] |])\$" if {[llength $level] == 1} { - if {![regexp {^(pass|body|skip|start|error|line)$} $level]} { + if {![regexp $levelRegexp $level]} { # translate single characters abbreviations to expanded list - set level [string map {p pass b body s skip t start e error l line} \ - [split $level {}]] + set level [string map $levelMap [split $level {}]] } } set valid [list] foreach v $level { - if {[regexp {^(pass|body|skip|start|error|line)$} $v]} { + if {[regexp $levelRegexp $v]} { lappend valid $v } } @@ -1972,6 +1983,14 @@ proc tcltest::test {name description args} { # Only run the test body if the setup was successful if {!$setupFailure} { + # Register startup time + if {[IsVerbose msec]} { + set msStart [clock milliseconds] + } + if {[IsVerbose usec]} { + set usStart [clock microseconds] + } + # Verbose notification of $body start if {[IsVerbose start]} { puts [outputChannel] "---- $name start" @@ -2076,6 +2095,15 @@ proc tcltest::test {name description args} { } } + if {[IsVerbose msec]} { + set elapsed [expr {[clock milliseconds] - $msStart}] + puts [outputChannel] "++++ $name took $elapsed ms" + } + if {[IsVerbose usec]} { + set elapsed [expr {[clock microseconds] - $usStart}] + puts [outputChannel] "++++ $name took $elapsed μs" + } + # if we didn't experience any failures, then we passed variable numTests if {!($setupFailure || $cleanupFailure || $coreFailure -- cgit v0.12 From 46069c41c59226ee28c31faca3a66afc9582bc31 Mon Sep 17 00:00:00 2001 From: gahr Date: Wed, 20 Apr 2016 19:37:31 +0000 Subject: Bump tcltest version to 2.3.9 --- library/tcltest/pkgIndex.tcl | 2 +- library/tcltest/tcltest.tcl | 2 +- unix/Makefile.in | 4 ++-- win/Makefile.in | 4 ++-- 4 files changed, 6 insertions(+), 6 deletions(-) diff --git a/library/tcltest/pkgIndex.tcl b/library/tcltest/pkgIndex.tcl index 987725f..06097fd 100644 --- a/library/tcltest/pkgIndex.tcl +++ b/library/tcltest/pkgIndex.tcl @@ -9,4 +9,4 @@ # full path name of this file's directory. if {![package vsatisfies [package provide Tcl] 8.5]} {return} -package ifneeded tcltest 2.3.8 [list source [file join $dir tcltest.tcl]] +package ifneeded tcltest 2.3.9 [list source [file join $dir tcltest.tcl]] diff --git a/library/tcltest/tcltest.tcl b/library/tcltest/tcltest.tcl index 30965b8..3d8ae5f 100644 --- a/library/tcltest/tcltest.tcl +++ b/library/tcltest/tcltest.tcl @@ -22,7 +22,7 @@ namespace eval tcltest { # When the version number changes, be sure to update the pkgIndex.tcl file, # and the install directory in the Makefiles. When the minor version # changes (new feature) be sure to update the man page as well. - variable Version 2.3.8 + variable Version 2.3.9 # Compatibility support for dumb variables defined in tcltest 1 # Do not use these. Call [package provide Tcl] and [info patchlevel] diff --git a/unix/Makefile.in b/unix/Makefile.in index d9f8bbc..2c96973 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -849,8 +849,8 @@ install-libraries: libraries done; @echo "Installing package msgcat 1.6.0 as a Tcl Module"; @$(INSTALL_DATA) $(TOP_DIR)/library/msgcat/msgcat.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.5/msgcat-1.6.0.tm; - @echo "Installing package tcltest 2.3.8 as a Tcl Module"; - @$(INSTALL_DATA) $(TOP_DIR)/library/tcltest/tcltest.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.5/tcltest-2.3.8.tm; + @echo "Installing package tcltest 2.3.9 as a Tcl Module"; + @$(INSTALL_DATA) $(TOP_DIR)/library/tcltest/tcltest.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.5/tcltest-2.3.9.tm; @echo "Installing package platform 1.0.14 as a Tcl Module"; @$(INSTALL_DATA) $(TOP_DIR)/library/platform/platform.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.4/platform-1.0.14.tm; diff --git a/win/Makefile.in b/win/Makefile.in index 2d27a41..1368671 100644 --- a/win/Makefile.in +++ b/win/Makefile.in @@ -660,8 +660,8 @@ install-libraries: libraries install-tzdata install-msgs done; @echo "Installing package msgcat 1.6.0 as a Tcl Module"; @$(COPY) $(ROOT_DIR)/library/msgcat/msgcat.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.5/msgcat-1.6.0.tm; - @echo "Installing package tcltest 2.3.8 as a Tcl Module"; - @$(COPY) $(ROOT_DIR)/library/tcltest/tcltest.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.5/tcltest-2.3.8.tm; + @echo "Installing package tcltest 2.3.9 as a Tcl Module"; + @$(COPY) $(ROOT_DIR)/library/tcltest/tcltest.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.5/tcltest-2.3.9.tm; @echo "Installing package platform 1.0.14 as a Tcl Module"; @$(COPY) $(ROOT_DIR)/library/platform/platform.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.4/platform-1.0.14.tm; @echo "Installing package platform::shell 1.1.4 as a Tcl Module"; -- cgit v0.12 From b46c53fec03b48c96092ef01990c03a00891fb8c Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 22 Apr 2016 18:13:17 +0000 Subject: Refactor bytecode cleanup. --- generic/tclAssembly.c | 8 ++------ generic/tclCompile.c | 41 +++++++++++++++++++++++++++-------------- generic/tclCompile.h | 3 ++- generic/tclExecute.c | 17 +++++------------ 4 files changed, 36 insertions(+), 33 deletions(-) diff --git a/generic/tclAssembly.c b/generic/tclAssembly.c index 6d5676b..7db5d69 100644 --- a/generic/tclAssembly.c +++ b/generic/tclAssembly.c @@ -866,7 +866,7 @@ CompileAssembleObj( * Not valid, so free it and regenerate. */ - FreeAssembleCodeInternalRep(objPtr); + TclFreeIntRep(objPtr); } /* @@ -4313,11 +4313,7 @@ FreeAssembleCodeInternalRep( { ByteCode *codePtr = objPtr->internalRep.twoPtrValue.ptr1; - codePtr->refCount--; - if (codePtr->refCount <= 0) { - TclCleanupByteCode(codePtr); - } - objPtr->typePtr = NULL; + TclReleaseByteCode(codePtr); } /* diff --git a/generic/tclCompile.c b/generic/tclCompile.c index c0b5dcc..002b551 100644 --- a/generic/tclCompile.c +++ b/generic/tclCompile.c @@ -661,6 +661,7 @@ InstructionDesc const tclInstructionTable[] = { * Prototypes for procedures defined later in this file: */ +static void CleanupByteCode(ByteCode *codePtr); static ByteCode * CompileSubstObj(Tcl_Interp *interp, Tcl_Obj *objPtr, int flags); static void DupByteCodeInternalRep(Tcl_Obj *srcPtr, @@ -967,16 +968,13 @@ FreeByteCodeInternalRep( { register ByteCode *codePtr = objPtr->internalRep.twoPtrValue.ptr1; - objPtr->typePtr = NULL; - if (codePtr->refCount-- <= 1) { - TclCleanupByteCode(codePtr); - } + TclReleaseByteCode(codePtr); } /* *---------------------------------------------------------------------- * - * TclCleanupByteCode -- + * TclReleaseByteCode -- * * This procedure does all the real work of freeing up a bytecode * object's ByteCode structure. It's called only when the structure's @@ -993,7 +991,26 @@ FreeByteCodeInternalRep( */ void -TclCleanupByteCode( +TclPreserveByteCode( + register ByteCode *codePtr) +{ + codePtr->refCount++; +} + +void +TclReleaseByteCode( + register ByteCode *codePtr) +{ + if (--codePtr->refCount) { + return; + } + + /* Just dropped to refcount==0. Clean up. */ + CleanupByteCode(codePtr); +} + +static void +CleanupByteCode( register ByteCode *codePtr) /* Points to the ByteCode to free. */ { Tcl_Interp *interp = (Tcl_Interp *) *codePtr->interpHandle; @@ -1260,8 +1277,6 @@ Tcl_NRSubstObj( * * Results: * A (ByteCode *) is returned pointing to the resulting ByteCode. - * The caller must manage its refCount and arrange for a call to - * TclCleanupByteCode() when the last reference disappears. * * Side effects: * The Tcl_ObjType of objPtr is changed to the "substcode" type, and the @@ -1292,7 +1307,7 @@ CompileSubstObj( || (codePtr->nsEpoch != nsPtr->resolverEpoch) || (codePtr->localCachePtr != iPtr->varFramePtr->localCachePtr)) { - FreeSubstCodeInternalRep(objPtr); + TclFreeIntRep(objPtr); } } if (objPtr->typePtr != &substCodeType) { @@ -1353,10 +1368,7 @@ FreeSubstCodeInternalRep( { register ByteCode *codePtr = objPtr->internalRep.twoPtrValue.ptr1; - objPtr->typePtr = NULL; - if (codePtr->refCount-- <= 1) { - TclCleanupByteCode(codePtr); - } + TclReleaseByteCode(codePtr); } static void @@ -2752,7 +2764,8 @@ TclInitByteCodeObj( codePtr->compileEpoch = iPtr->compileEpoch; codePtr->nsPtr = namespacePtr; codePtr->nsEpoch = namespacePtr->resolverEpoch; - codePtr->refCount = 1; + codePtr->refCount = 0; + TclPreserveByteCode(codePtr); if (namespacePtr->compiledVarResProc || iPtr->resolverPtr) { codePtr->flags = TCL_BYTECODE_RESOLVE_VARS; } else { diff --git a/generic/tclCompile.h b/generic/tclCompile.h index d5bc86b..86a9db0 100644 --- a/generic/tclCompile.h +++ b/generic/tclCompile.h @@ -1067,7 +1067,6 @@ MODULE_SCOPE ByteCode * TclCompileObj(Tcl_Interp *interp, Tcl_Obj *objPtr, MODULE_SCOPE int TclAttemptCompileProc(Tcl_Interp *interp, Tcl_Parse *parsePtr, int depth, Command *cmdPtr, CompileEnv *envPtr); -MODULE_SCOPE void TclCleanupByteCode(ByteCode *codePtr); MODULE_SCOPE void TclCleanupStackForBreakContinue(CompileEnv *envPtr, ExceptionAux *auxPtr); MODULE_SCOPE void TclCompileCmdWord(Tcl_Interp *interp, @@ -1157,6 +1156,8 @@ MODULE_SCOPE void TclPushVarName(Tcl_Interp *interp, Tcl_Token *varTokenPtr, CompileEnv *envPtr, int flags, int *localIndexPtr, int *isScalarPtr); +MODULE_SCOPE void TclPreserveByteCode(ByteCode *codePtr); +MODULE_SCOPE void TclReleaseByteCode(ByteCode *codePtr); MODULE_SCOPE void TclReleaseLiteral(Tcl_Interp *interp, Tcl_Obj *objPtr); MODULE_SCOPE void TclInvalidateCmdLiteral(Tcl_Interp *interp, const char *name, Namespace *nsPtr); diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 823f619..2a2b951 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -1499,11 +1499,9 @@ ExprObjCallback( * * Results: * A (ByteCode *) is returned pointing to the resulting ByteCode. - * The caller must manage its refCount and arrange for a call to - * TclCleanupByteCode() when the last reference disappears. * * Side effects: - * The Tcl_ObjType of objPtr is changed to the "bytecode" type, + * The Tcl_ObjType of objPtr is changed to the "exprcode" type, * and the ByteCode is kept in the internal rep (along with context * data for checking validity) for faster operations the next time * CompileExprObj is called on the same value. @@ -1536,7 +1534,7 @@ CompileExprObj( || (codePtr->nsPtr != namespacePtr) || (codePtr->nsEpoch != namespacePtr->resolverEpoch) || (codePtr->localCachePtr != iPtr->varFramePtr->localCachePtr)) { - FreeExprCodeInternalRep(objPtr); + TclFreeIntRep(objPtr); } } if (objPtr->typePtr != &exprCodeType) { @@ -1644,10 +1642,7 @@ FreeExprCodeInternalRep( { ByteCode *codePtr = objPtr->internalRep.twoPtrValue.ptr1; - objPtr->typePtr = NULL; - if (codePtr->refCount-- <= 1) { - TclCleanupByteCode(codePtr); - } + TclReleaseByteCode(codePtr); } /* @@ -2033,7 +2028,7 @@ TclNRExecuteByteCode( * sizeof(void *); int numWords = (size + sizeof(Tcl_Obj *) - 1) / sizeof(Tcl_Obj *); - codePtr->refCount++; + TclPreserveByteCode(codePtr); /* * Reserve the stack, setup the TEBCdataPtr (TD) and CallFrame @@ -8189,9 +8184,7 @@ TEBCresume( } iPtr->cmdFramePtr = bcFramePtr->nextPtr; - if (codePtr->refCount-- <= 1) { - TclCleanupByteCode(codePtr); - } + TclReleaseByteCode(codePtr); TclStackFree(interp, TD); /* free my stack */ return result; -- cgit v0.12 From 3f9f0e85ff34afdd6cfbc82c66b5e670d0deb4bb Mon Sep 17 00:00:00 2001 From: venkat Date: Fri, 22 Apr 2016 19:43:59 +0000 Subject: Update to tzdata2016d from IETF --- library/tzdata/America/Caracas | 1 + library/tzdata/Asia/Almaty | 103 ++++++++++++++++++------------------ library/tzdata/Asia/Anadyr | 4 +- library/tzdata/Asia/Aqtau | 107 +++++++++++++++++++------------------- library/tzdata/Asia/Aqtobe | 105 +++++++++++++++++++------------------ library/tzdata/Asia/Baku | 2 +- library/tzdata/Asia/Barnaul | 4 +- library/tzdata/Asia/Chita | 4 +- library/tzdata/Asia/Irkutsk | 4 +- library/tzdata/Asia/Kamchatka | 4 +- library/tzdata/Asia/Khandyga | 4 +- library/tzdata/Asia/Krasnoyarsk | 4 +- library/tzdata/Asia/Magadan | 5 +- library/tzdata/Asia/Novokuznetsk | 4 +- library/tzdata/Asia/Novosibirsk | 4 +- library/tzdata/Asia/Omsk | 4 +- library/tzdata/Asia/Oral | 106 ++++++++++++++++++------------------- library/tzdata/Asia/Qyzylorda | 105 ++++++++++++++++++------------------- library/tzdata/Asia/Sakhalin | 4 +- library/tzdata/Asia/Srednekolymsk | 4 +- library/tzdata/Asia/Tomsk | 73 ++++++++++++++++++++++++++ library/tzdata/Asia/Ust-Nera | 4 +- library/tzdata/Asia/Vladivostok | 4 +- library/tzdata/Asia/Yakutsk | 4 +- library/tzdata/Asia/Yekaterinburg | 4 +- library/tzdata/Asia/Yerevan | 6 +-- library/tzdata/Europe/Astrakhan | 5 +- library/tzdata/Europe/Kaliningrad | 4 +- library/tzdata/Europe/Kirov | 70 +++++++++++++++++++++++++ library/tzdata/Europe/Minsk | 3 +- library/tzdata/Europe/Moscow | 4 +- library/tzdata/Europe/Samara | 4 +- library/tzdata/Europe/Ulyanovsk | 4 +- library/tzdata/Europe/Volgograd | 5 +- 34 files changed, 463 insertions(+), 313 deletions(-) create mode 100644 library/tzdata/Asia/Tomsk create mode 100644 library/tzdata/Europe/Kirov diff --git a/library/tzdata/America/Caracas b/library/tzdata/America/Caracas index 2ba87ae..253c4ce 100644 --- a/library/tzdata/America/Caracas +++ b/library/tzdata/America/Caracas @@ -6,4 +6,5 @@ set TZData(:America/Caracas) { {-1826739140 -16200 0 VET} {-157750200 -14400 0 VET} {1197183600 -16200 0 VET} + {1462086000 -14400 0 VET} } diff --git a/library/tzdata/Asia/Almaty b/library/tzdata/Asia/Almaty index 68dee29..2b83197 100644 --- a/library/tzdata/Asia/Almaty +++ b/library/tzdata/Asia/Almaty @@ -2,55 +2,56 @@ set TZData(:Asia/Almaty) { {-9223372036854775808 18468 0 LMT} - {-1441170468 18000 0 ALMT} - {-1247547600 21600 0 ALMT} - {354909600 25200 1 ALMST} - {370717200 21600 0 ALMT} - {386445600 25200 1 ALMST} - {402253200 21600 0 ALMT} - {417981600 25200 1 ALMST} - {433789200 21600 0 ALMT} - {449604000 25200 1 ALMST} - {465336000 21600 0 ALMT} - {481060800 25200 1 ALMST} - {496785600 21600 0 ALMT} - {512510400 25200 1 ALMST} - {528235200 21600 0 ALMT} - {543960000 25200 1 ALMST} - {559684800 21600 0 ALMT} - {575409600 25200 1 ALMST} - {591134400 21600 0 ALMT} - {606859200 25200 1 ALMST} - {622584000 21600 0 ALMT} - {638308800 25200 1 ALMST} - {654638400 21600 0 ALMT} - {662666400 21600 0 ALMT} - {694202400 21600 0 ALMT} - {701802000 25200 1 ALMST} - {717523200 21600 0 ALMT} - {733262400 25200 1 ALMST} - {748987200 21600 0 ALMT} - {764712000 25200 1 ALMST} - {780436800 21600 0 ALMT} - {796161600 25200 1 ALMST} - {811886400 21600 0 ALMT} - {828216000 25200 1 ALMST} - {846360000 21600 0 ALMT} - {859665600 25200 1 ALMST} - {877809600 21600 0 ALMT} - {891115200 25200 1 ALMST} - {909259200 21600 0 ALMT} - {922564800 25200 1 ALMST} - {941313600 21600 0 ALMT} - {954014400 25200 1 ALMST} - {972763200 21600 0 ALMT} - {985464000 25200 1 ALMST} - {1004212800 21600 0 ALMT} - {1017518400 25200 1 ALMST} - {1035662400 21600 0 ALMT} - {1048968000 25200 1 ALMST} - {1067112000 21600 0 ALMT} - {1080417600 25200 1 ALMST} - {1099166400 21600 0 ALMT} - {1110823200 21600 0 ALMT} + {-1441170468 18000 0 +05} + {-1247547600 21600 0 +06} + {354909600 25200 1 +07} + {370717200 21600 0 +06} + {386445600 25200 1 +07} + {402253200 21600 0 +06} + {417981600 25200 1 +07} + {433789200 21600 0 +06} + {449604000 25200 1 +07} + {465336000 21600 0 +06} + {481060800 25200 1 +07} + {496785600 21600 0 +06} + {512510400 25200 1 +07} + {528235200 21600 0 +06} + {543960000 25200 1 +07} + {559684800 21600 0 +06} + {575409600 25200 1 +07} + {591134400 21600 0 +06} + {606859200 25200 1 +07} + {622584000 21600 0 +06} + {638308800 25200 1 +07} + {654638400 21600 0 +06} + {670363200 18000 0 +05} + {670366800 21600 1 +06} + {686091600 18000 0 +05} + {695768400 21600 0 +06} + {701812800 25200 1 +07} + {717537600 21600 0 +06} + {733262400 25200 1 +07} + {748987200 21600 0 +06} + {764712000 25200 1 +07} + {780436800 21600 0 +06} + {796161600 25200 1 +07} + {811886400 21600 0 +06} + {828216000 25200 1 +07} + {846360000 21600 0 +06} + {859665600 25200 1 +07} + {877809600 21600 0 +06} + {891115200 25200 1 +07} + {909259200 21600 0 +06} + {922564800 25200 1 +07} + {941313600 21600 0 +06} + {954014400 25200 1 +07} + {972763200 21600 0 +06} + {985464000 25200 1 +07} + {1004212800 21600 0 +06} + {1017518400 25200 1 +07} + {1035662400 21600 0 +06} + {1048968000 25200 1 +07} + {1067112000 21600 0 +06} + {1080417600 25200 1 +07} + {1099166400 21600 0 +06} } diff --git a/library/tzdata/Asia/Anadyr b/library/tzdata/Asia/Anadyr index 50ace50..2e8ffc7 100644 --- a/library/tzdata/Asia/Anadyr +++ b/library/tzdata/Asia/Anadyr @@ -29,8 +29,8 @@ set TZData(:Asia/Anadyr) { {670345200 43200 1 ANAST} {686070000 39600 0 ANAT} {695746800 43200 0 ANAMMTT} - {701780400 46800 1 ANAST} - {717501600 43200 0 ANAT} + {701791200 46800 1 ANAST} + {717516000 43200 0 ANAT} {733240800 46800 1 ANAST} {748965600 43200 0 ANAT} {764690400 46800 1 ANAST} diff --git a/library/tzdata/Asia/Aqtau b/library/tzdata/Asia/Aqtau index 11e89a2..90cc94d 100644 --- a/library/tzdata/Asia/Aqtau +++ b/library/tzdata/Asia/Aqtau @@ -2,57 +2,58 @@ set TZData(:Asia/Aqtau) { {-9223372036854775808 12064 0 LMT} - {-1441164064 14400 0 FORT} - {-1247544000 18000 0 FORT} - {-220942800 18000 0 SHET} - {370724400 21600 0 SHET} - {386445600 18000 0 SHET} - {386449200 21600 1 SHEST} - {402256800 18000 0 SHET} - {417985200 21600 1 SHEST} - {433792800 18000 0 SHET} - {449607600 21600 1 SHEST} - {465339600 18000 0 SHET} - {481064400 21600 1 SHEST} - {496789200 18000 0 SHET} - {512514000 21600 1 SHEST} - {528238800 18000 0 SHET} - {543963600 21600 1 SHEST} - {559688400 18000 0 SHET} - {575413200 21600 1 SHEST} - {591138000 18000 0 SHET} - {606862800 21600 1 SHEST} - {622587600 18000 0 SHET} - {638312400 21600 1 SHEST} - {654642000 18000 0 SHET} - {662670000 18000 0 SHET} - {692823600 18000 0 AQTT} - {701805600 21600 1 AQTST} - {717526800 18000 0 AQTT} - {733266000 21600 1 AQTST} - {748990800 18000 0 AQTT} - {764715600 21600 1 AQTST} - {780440400 18000 0 AQTT} - {796165200 14400 0 AQTT} - {796168800 18000 1 AQTST} - {811893600 14400 0 AQTT} - {828223200 18000 1 AQTST} - {846367200 14400 0 AQTT} - {859672800 18000 1 AQTST} - {877816800 14400 0 AQTT} - {891122400 18000 1 AQTST} - {909266400 14400 0 AQTT} - {922572000 18000 1 AQTST} - {941320800 14400 0 AQTT} - {954021600 18000 1 AQTST} - {972770400 14400 0 AQTT} - {985471200 18000 1 AQTST} - {1004220000 14400 0 AQTT} - {1017525600 18000 1 AQTST} - {1035669600 14400 0 AQTT} - {1048975200 18000 1 AQTST} - {1067119200 14400 0 AQTT} - {1080424800 18000 1 AQTST} - {1099173600 14400 0 AQTT} - {1110830400 18000 0 AQTT} + {-1441164064 14400 0 +04} + {-1247544000 18000 0 +05} + {-220942800 18000 0 +05} + {370724400 21600 0 +06} + {386445600 18000 0 +05} + {386449200 21600 1 +06} + {402256800 18000 0 +05} + {417985200 21600 1 +06} + {433792800 18000 0 +05} + {449607600 21600 1 +06} + {465339600 18000 0 +05} + {481064400 21600 1 +06} + {496789200 18000 0 +05} + {512514000 21600 1 +06} + {528238800 18000 0 +05} + {543963600 21600 1 +06} + {559688400 18000 0 +05} + {575413200 21600 1 +06} + {591138000 18000 0 +05} + {606862800 21600 1 +06} + {622587600 18000 0 +05} + {638312400 21600 1 +06} + {654642000 18000 0 +05} + {670366800 14400 0 +04} + {670370400 18000 1 +05} + {686095200 14400 0 +04} + {695772000 18000 0 +05} + {701816400 21600 1 +06} + {717541200 18000 0 +05} + {733266000 21600 1 +06} + {748990800 18000 0 +05} + {764715600 21600 1 +06} + {780440400 18000 0 +05} + {780444000 14400 0 +04} + {796168800 18000 1 +05} + {811893600 14400 0 +04} + {828223200 18000 1 +05} + {846367200 14400 0 +04} + {859672800 18000 1 +05} + {877816800 14400 0 +04} + {891122400 18000 1 +05} + {909266400 14400 0 +04} + {922572000 18000 1 +05} + {941320800 14400 0 +04} + {954021600 18000 1 +05} + {972770400 14400 0 +04} + {985471200 18000 1 +05} + {1004220000 14400 0 +04} + {1017525600 18000 1 +05} + {1035669600 14400 0 +04} + {1048975200 18000 1 +05} + {1067119200 14400 0 +04} + {1080424800 18000 1 +05} + {1099173600 18000 0 +05} } diff --git a/library/tzdata/Asia/Aqtobe b/library/tzdata/Asia/Aqtobe index c857491..55ef556 100644 --- a/library/tzdata/Asia/Aqtobe +++ b/library/tzdata/Asia/Aqtobe @@ -2,56 +2,57 @@ set TZData(:Asia/Aqtobe) { {-9223372036854775808 13720 0 LMT} - {-1441165720 14400 0 AKTT} - {-1247544000 18000 0 AKTT} - {354913200 21600 1 AKTST} - {370720800 21600 0 AKTT} - {386445600 18000 0 AKTT} - {386449200 21600 1 AKTST} - {402256800 18000 0 AKTT} - {417985200 21600 1 AKTST} - {433792800 18000 0 AKTT} - {449607600 21600 1 AKTST} - {465339600 18000 0 AKTT} - {481064400 21600 1 AKTST} - {496789200 18000 0 AKTT} - {512514000 21600 1 AKTST} - {528238800 18000 0 AKTT} - {543963600 21600 1 AKTST} - {559688400 18000 0 AKTT} - {575413200 21600 1 AKTST} - {591138000 18000 0 AKTT} - {606862800 21600 1 AKTST} - {622587600 18000 0 AKTT} - {638312400 21600 1 AKTST} - {654642000 18000 0 AKTT} - {662670000 18000 0 AKTT} - {692823600 18000 0 AQTT} - {701805600 21600 1 AQTST} - {717526800 18000 0 AQTT} - {733266000 21600 1 AQTST} - {748990800 18000 0 AQTT} - {764715600 21600 1 AQTST} - {780440400 18000 0 AQTT} - {796165200 21600 1 AQTST} - {811890000 18000 0 AQTT} - {828219600 21600 1 AQTST} - {846363600 18000 0 AQTT} - {859669200 21600 1 AQTST} - {877813200 18000 0 AQTT} - {891118800 21600 1 AQTST} - {909262800 18000 0 AQTT} - {922568400 21600 1 AQTST} - {941317200 18000 0 AQTT} - {954018000 21600 1 AQTST} - {972766800 18000 0 AQTT} - {985467600 21600 1 AQTST} - {1004216400 18000 0 AQTT} - {1017522000 21600 1 AQTST} - {1035666000 18000 0 AQTT} - {1048971600 21600 1 AQTST} - {1067115600 18000 0 AQTT} - {1080421200 21600 1 AQTST} - {1099170000 18000 0 AQTT} - {1110826800 18000 0 AQTT} + {-1441165720 14400 0 +04} + {-1247544000 18000 0 +05} + {354913200 21600 1 +06} + {370720800 21600 0 +06} + {386445600 18000 0 +05} + {386449200 21600 1 +06} + {402256800 18000 0 +05} + {417985200 21600 1 +06} + {433792800 18000 0 +05} + {449607600 21600 1 +06} + {465339600 18000 0 +05} + {481064400 21600 1 +06} + {496789200 18000 0 +05} + {512514000 21600 1 +06} + {528238800 18000 0 +05} + {543963600 21600 1 +06} + {559688400 18000 0 +05} + {575413200 21600 1 +06} + {591138000 18000 0 +05} + {606862800 21600 1 +06} + {622587600 18000 0 +05} + {638312400 21600 1 +06} + {654642000 18000 0 +05} + {670366800 14400 0 +04} + {670370400 18000 1 +05} + {686095200 14400 0 +04} + {695772000 18000 0 +05} + {701816400 21600 1 +06} + {717541200 18000 0 +05} + {733266000 21600 1 +06} + {748990800 18000 0 +05} + {764715600 21600 1 +06} + {780440400 18000 0 +05} + {796165200 21600 1 +06} + {811890000 18000 0 +05} + {828219600 21600 1 +06} + {846363600 18000 0 +05} + {859669200 21600 1 +06} + {877813200 18000 0 +05} + {891118800 21600 1 +06} + {909262800 18000 0 +05} + {922568400 21600 1 +06} + {941317200 18000 0 +05} + {954018000 21600 1 +06} + {972766800 18000 0 +05} + {985467600 21600 1 +06} + {1004216400 18000 0 +05} + {1017522000 21600 1 +06} + {1035666000 18000 0 +05} + {1048971600 21600 1 +06} + {1067115600 18000 0 +05} + {1080421200 21600 1 +06} + {1099170000 18000 0 +05} } diff --git a/library/tzdata/Asia/Baku b/library/tzdata/Asia/Baku index c26a2f5..bc0701a 100644 --- a/library/tzdata/Asia/Baku +++ b/library/tzdata/Asia/Baku @@ -27,7 +27,7 @@ set TZData(:Asia/Baku) { {670370400 14400 1 BAKST} {683496000 14400 0 AZST} {686098800 10800 0 AZT} - {701812800 14400 1 AZST} + {701823600 14400 1 AZST} {717537600 14400 0 AZT} {820440000 14400 0 AZT} {828234000 18000 1 AZST} diff --git a/library/tzdata/Asia/Barnaul b/library/tzdata/Asia/Barnaul index f6a45da..bf6abbf 100644 --- a/library/tzdata/Asia/Barnaul +++ b/library/tzdata/Asia/Barnaul @@ -28,8 +28,8 @@ set TZData(:Asia/Barnaul) { {670363200 25200 1 +07} {686088000 21600 0 +06} {695764800 25200 0 +08} - {701798400 28800 1 +08} - {717519600 25200 0 +07} + {701809200 28800 1 +08} + {717534000 25200 0 +07} {733258800 28800 1 +08} {748983600 25200 0 +07} {764708400 28800 1 +08} diff --git a/library/tzdata/Asia/Chita b/library/tzdata/Asia/Chita index 6aef523..2517beb 100644 --- a/library/tzdata/Asia/Chita +++ b/library/tzdata/Asia/Chita @@ -28,8 +28,8 @@ set TZData(:Asia/Chita) { {670356000 32400 1 YAKST} {686080800 28800 0 YAKT} {695757600 32400 0 YAKMMTT} - {701791200 36000 1 YAKST} - {717512400 32400 0 YAKT} + {701802000 36000 1 YAKST} + {717526800 32400 0 YAKT} {733251600 36000 1 YAKST} {748976400 32400 0 YAKT} {764701200 36000 1 YAKST} diff --git a/library/tzdata/Asia/Irkutsk b/library/tzdata/Asia/Irkutsk index 08e5798..ebe00c3 100644 --- a/library/tzdata/Asia/Irkutsk +++ b/library/tzdata/Asia/Irkutsk @@ -29,8 +29,8 @@ set TZData(:Asia/Irkutsk) { {670359600 28800 1 IRKST} {686084400 25200 0 IRKT} {695761200 28800 0 IRKMMTT} - {701794800 32400 1 IRKST} - {717516000 28800 0 IRKT} + {701805600 32400 1 IRKST} + {717530400 28800 0 IRKT} {733255200 32400 1 IRKST} {748980000 28800 0 IRKT} {764704800 32400 1 IRKST} diff --git a/library/tzdata/Asia/Kamchatka b/library/tzdata/Asia/Kamchatka index 82abcfa..2b77154 100644 --- a/library/tzdata/Asia/Kamchatka +++ b/library/tzdata/Asia/Kamchatka @@ -28,8 +28,8 @@ set TZData(:Asia/Kamchatka) { {670345200 43200 1 PETST} {686070000 39600 0 PETT} {695746800 43200 0 PETMMTT} - {701780400 46800 1 PETST} - {717501600 43200 0 PETT} + {701791200 46800 1 PETST} + {717516000 43200 0 PETT} {733240800 46800 1 PETST} {748965600 43200 0 PETT} {764690400 46800 1 PETST} diff --git a/library/tzdata/Asia/Khandyga b/library/tzdata/Asia/Khandyga index b2dc97a..b898e0d 100644 --- a/library/tzdata/Asia/Khandyga +++ b/library/tzdata/Asia/Khandyga @@ -28,8 +28,8 @@ set TZData(:Asia/Khandyga) { {670356000 32400 1 YAKST} {686080800 28800 0 YAKT} {695757600 32400 0 YAKMMTT} - {701791200 36000 1 YAKST} - {717512400 32400 0 YAKT} + {701802000 36000 1 YAKST} + {717526800 32400 0 YAKT} {733251600 36000 1 YAKST} {748976400 32400 0 YAKT} {764701200 36000 1 YAKST} diff --git a/library/tzdata/Asia/Krasnoyarsk b/library/tzdata/Asia/Krasnoyarsk index 17ea6c0..3c6285e 100644 --- a/library/tzdata/Asia/Krasnoyarsk +++ b/library/tzdata/Asia/Krasnoyarsk @@ -28,8 +28,8 @@ set TZData(:Asia/Krasnoyarsk) { {670363200 25200 1 KRAST} {686088000 21600 0 KRAT} {695764800 25200 0 KRAMMTT} - {701798400 28800 1 KRAST} - {717519600 25200 0 KRAT} + {701809200 28800 1 KRAST} + {717534000 25200 0 KRAT} {733258800 28800 1 KRAST} {748983600 25200 0 KRAT} {764708400 28800 1 KRAST} diff --git a/library/tzdata/Asia/Magadan b/library/tzdata/Asia/Magadan index bf796a7..afe78da 100644 --- a/library/tzdata/Asia/Magadan +++ b/library/tzdata/Asia/Magadan @@ -28,8 +28,8 @@ set TZData(:Asia/Magadan) { {670348800 39600 1 MAGST} {686073600 36000 0 MAGT} {695750400 39600 0 MAGMMTT} - {701784000 43200 1 MAGST} - {717505200 39600 0 MAGT} + {701794800 43200 1 MAGST} + {717519600 39600 0 MAGT} {733244400 43200 1 MAGST} {748969200 39600 0 MAGT} {764694000 43200 1 MAGST} @@ -68,4 +68,5 @@ set TZData(:Asia/Magadan) { {1288450800 39600 0 MAGT} {1301151600 43200 0 MAGT} {1414245600 36000 0 MAGT} + {1461427200 39600 0 MAGT} } diff --git a/library/tzdata/Asia/Novokuznetsk b/library/tzdata/Asia/Novokuznetsk index ab3c2d5..f079faa 100644 --- a/library/tzdata/Asia/Novokuznetsk +++ b/library/tzdata/Asia/Novokuznetsk @@ -28,8 +28,8 @@ set TZData(:Asia/Novokuznetsk) { {670363200 25200 1 KRAST} {686088000 21600 0 KRAT} {695764800 25200 0 KRAMMTT} - {701798400 28800 1 KRAST} - {717519600 25200 0 KRAT} + {701809200 28800 1 KRAST} + {717534000 25200 0 KRAT} {733258800 28800 1 KRAST} {748983600 25200 0 KRAT} {764708400 28800 1 KRAST} diff --git a/library/tzdata/Asia/Novosibirsk b/library/tzdata/Asia/Novosibirsk index 7227780..54c83fa 100644 --- a/library/tzdata/Asia/Novosibirsk +++ b/library/tzdata/Asia/Novosibirsk @@ -28,8 +28,8 @@ set TZData(:Asia/Novosibirsk) { {670363200 25200 1 NOVST} {686088000 21600 0 NOVT} {695764800 25200 0 NOVMMTT} - {701798400 28800 1 NOVST} - {717519600 25200 0 NOVT} + {701809200 28800 1 NOVST} + {717534000 25200 0 NOVT} {733258800 28800 1 NOVST} {738090000 25200 0 NOVST} {748987200 21600 0 NOVT} diff --git a/library/tzdata/Asia/Omsk b/library/tzdata/Asia/Omsk index f25b8d4..a6fa180 100644 --- a/library/tzdata/Asia/Omsk +++ b/library/tzdata/Asia/Omsk @@ -28,8 +28,8 @@ set TZData(:Asia/Omsk) { {670366800 21600 1 OMSST} {686091600 18000 0 OMST} {695768400 21600 0 OMSMMTT} - {701802000 25200 1 OMSST} - {717523200 21600 0 OMST} + {701812800 25200 1 OMSST} + {717537600 21600 0 OMST} {733262400 25200 1 OMSST} {748987200 21600 0 OMST} {764712000 25200 1 OMSST} diff --git a/library/tzdata/Asia/Oral b/library/tzdata/Asia/Oral index 88b9a29..962111b 100644 --- a/library/tzdata/Asia/Oral +++ b/library/tzdata/Asia/Oral @@ -2,57 +2,57 @@ set TZData(:Asia/Oral) { {-9223372036854775808 12324 0 LMT} - {-1441164324 14400 0 URAT} - {-1247544000 18000 0 URAT} - {354913200 21600 1 URAST} - {370720800 21600 0 URAT} - {386445600 18000 0 URAT} - {386449200 21600 1 URAST} - {402256800 18000 0 URAT} - {417985200 21600 1 URAST} - {433792800 18000 0 URAT} - {449607600 21600 1 URAST} - {465339600 18000 0 URAT} - {481064400 21600 1 URAST} - {496789200 18000 0 URAT} - {512514000 21600 1 URAST} - {528238800 18000 0 URAT} - {543963600 21600 1 URAST} - {559688400 18000 0 URAT} - {575413200 21600 1 URAST} - {591138000 18000 0 URAT} - {606862800 14400 0 URAT} - {606866400 18000 1 URAST} - {622591200 14400 0 URAT} - {638316000 18000 1 URAST} - {654645600 14400 0 URAT} - {662673600 14400 0 URAT} - {692827200 14400 0 ORAT} - {701809200 18000 1 ORAST} - {717530400 14400 0 ORAT} - {733269600 18000 1 ORAST} - {748994400 14400 0 ORAT} - {764719200 18000 1 ORAST} - {780444000 14400 0 ORAT} - {796168800 18000 1 ORAST} - {811893600 14400 0 ORAT} - {828223200 18000 1 ORAST} - {846367200 14400 0 ORAT} - {859672800 18000 1 ORAST} - {877816800 14400 0 ORAT} - {891122400 18000 1 ORAST} - {909266400 14400 0 ORAT} - {922572000 18000 1 ORAST} - {941320800 14400 0 ORAT} - {954021600 18000 1 ORAST} - {972770400 14400 0 ORAT} - {985471200 18000 1 ORAST} - {1004220000 14400 0 ORAT} - {1017525600 18000 1 ORAST} - {1035669600 14400 0 ORAT} - {1048975200 18000 1 ORAST} - {1067119200 14400 0 ORAT} - {1080424800 18000 1 ORAST} - {1099173600 14400 0 ORAT} - {1110830400 18000 0 ORAT} + {-1441164324 14400 0 +04} + {-1247544000 18000 0 +05} + {354913200 21600 1 +06} + {370720800 21600 0 +06} + {386445600 18000 0 +05} + {386449200 21600 1 +06} + {402256800 18000 0 +05} + {417985200 21600 1 +06} + {433792800 18000 0 +05} + {449607600 21600 1 +06} + {465339600 18000 0 +05} + {481064400 21600 1 +06} + {496789200 18000 0 +05} + {512514000 21600 1 +06} + {528238800 18000 0 +05} + {543963600 21600 1 +06} + {559688400 18000 0 +05} + {575413200 21600 1 +06} + {591138000 18000 0 +05} + {606862800 14400 0 +04} + {606866400 18000 1 +05} + {622591200 14400 0 +04} + {638316000 18000 1 +05} + {654645600 14400 0 +04} + {670370400 18000 1 +05} + {686095200 14400 0 +04} + {701816400 14400 0 +04} + {701820000 18000 1 +05} + {717544800 14400 0 +04} + {733269600 18000 1 +05} + {748994400 14400 0 +04} + {764719200 18000 1 +05} + {780444000 14400 0 +04} + {796168800 18000 1 +05} + {811893600 14400 0 +04} + {828223200 18000 1 +05} + {846367200 14400 0 +04} + {859672800 18000 1 +05} + {877816800 14400 0 +04} + {891122400 18000 1 +05} + {909266400 14400 0 +04} + {922572000 18000 1 +05} + {941320800 14400 0 +04} + {954021600 18000 1 +05} + {972770400 14400 0 +04} + {985471200 18000 1 +05} + {1004220000 14400 0 +04} + {1017525600 18000 1 +05} + {1035669600 14400 0 +04} + {1048975200 18000 1 +05} + {1067119200 14400 0 +04} + {1080424800 18000 1 +05} + {1099173600 18000 0 +05} } diff --git a/library/tzdata/Asia/Qyzylorda b/library/tzdata/Asia/Qyzylorda index 16da574..b2e9472 100644 --- a/library/tzdata/Asia/Qyzylorda +++ b/library/tzdata/Asia/Qyzylorda @@ -2,57 +2,56 @@ set TZData(:Asia/Qyzylorda) { {-9223372036854775808 15712 0 LMT} - {-1441167712 14400 0 KIZT} - {-1247544000 18000 0 KIZT} - {354913200 21600 1 KIZST} - {370720800 21600 0 KIZT} - {386445600 18000 0 KIZT} - {386449200 21600 1 KIZST} - {402256800 18000 0 KIZT} - {417985200 21600 1 KIZST} - {433792800 18000 0 KIZT} - {449607600 21600 1 KIZST} - {465339600 18000 0 KIZT} - {481064400 21600 1 KIZST} - {496789200 18000 0 KIZT} - {512514000 21600 1 KIZST} - {528238800 18000 0 KIZT} - {543963600 21600 1 KIZST} - {559688400 18000 0 KIZT} - {575413200 21600 1 KIZST} - {591138000 18000 0 KIZT} - {606862800 21600 1 KIZST} - {622587600 18000 0 KIZT} - {638312400 21600 1 KIZST} - {654642000 18000 0 KIZT} - {662670000 18000 0 KIZT} - {692823600 18000 0 QYZT} - {695768400 21600 0 QYZT} - {701802000 25200 1 QYZST} - {717523200 21600 0 QYZT} - {733262400 25200 1 QYZST} - {748987200 21600 0 QYZT} - {764712000 25200 1 QYZST} - {780436800 21600 0 QYZT} - {796161600 25200 1 QYZST} - {811886400 21600 0 QYZT} - {828216000 25200 1 QYZST} - {846360000 21600 0 QYZT} - {859665600 25200 1 QYZST} - {877809600 21600 0 QYZT} - {891115200 25200 1 QYZST} - {909259200 21600 0 QYZT} - {922564800 25200 1 QYZST} - {941313600 21600 0 QYZT} - {954014400 25200 1 QYZST} - {972763200 21600 0 QYZT} - {985464000 25200 1 QYZST} - {1004212800 21600 0 QYZT} - {1017518400 25200 1 QYZST} - {1035662400 21600 0 QYZT} - {1048968000 25200 1 QYZST} - {1067112000 21600 0 QYZT} - {1080417600 25200 1 QYZST} - {1099166400 21600 0 QYZT} - {1110823200 21600 0 QYZT} + {-1441167712 14400 0 +04} + {-1247544000 18000 0 +05} + {354913200 21600 1 +06} + {370720800 21600 0 +06} + {386445600 18000 0 +05} + {386449200 21600 1 +06} + {402256800 18000 0 +05} + {417985200 21600 1 +06} + {433792800 18000 0 +05} + {449607600 21600 1 +06} + {465339600 18000 0 +05} + {481064400 21600 1 +06} + {496789200 18000 0 +05} + {512514000 21600 1 +06} + {528238800 18000 0 +05} + {543963600 21600 1 +06} + {559688400 18000 0 +05} + {575413200 21600 1 +06} + {591138000 18000 0 +05} + {606862800 21600 1 +06} + {622587600 18000 0 +05} + {638312400 21600 1 +06} + {654642000 18000 0 +05} + {670366800 14400 0 +04} + {670370400 18000 1 +05} + {701812800 18000 0 +05} + {701816400 21600 1 +06} + {717541200 18000 0 +05} + {733266000 21600 1 +06} + {748990800 18000 0 +05} + {764715600 21600 1 +06} + {780440400 18000 0 +05} + {796165200 21600 1 +06} + {811890000 18000 0 +05} + {828219600 21600 1 +06} + {846363600 18000 0 +05} + {859669200 21600 1 +06} + {877813200 18000 0 +05} + {891118800 21600 1 +06} + {909262800 18000 0 +05} + {922568400 21600 1 +06} + {941317200 18000 0 +05} + {954018000 21600 1 +06} + {972766800 18000 0 +05} + {985467600 21600 1 +06} + {1004216400 18000 0 +05} + {1017522000 21600 1 +06} + {1035666000 18000 0 +05} + {1048971600 21600 1 +06} + {1067115600 18000 0 +05} + {1080421200 21600 1 +06} + {1099170000 21600 0 +06} } diff --git a/library/tzdata/Asia/Sakhalin b/library/tzdata/Asia/Sakhalin index 9247046..1de22f4 100644 --- a/library/tzdata/Asia/Sakhalin +++ b/library/tzdata/Asia/Sakhalin @@ -29,8 +29,8 @@ set TZData(:Asia/Sakhalin) { {670348800 39600 1 SAKST} {686073600 36000 0 SAKT} {695750400 39600 0 SAKMMTT} - {701784000 43200 1 SAKST} - {717505200 39600 0 SAKT} + {701794800 43200 1 SAKST} + {717519600 39600 0 SAKT} {733244400 43200 1 SAKST} {748969200 39600 0 SAKT} {764694000 43200 1 SAKST} diff --git a/library/tzdata/Asia/Srednekolymsk b/library/tzdata/Asia/Srednekolymsk index d1dd879..a0586aa 100644 --- a/library/tzdata/Asia/Srednekolymsk +++ b/library/tzdata/Asia/Srednekolymsk @@ -28,8 +28,8 @@ set TZData(:Asia/Srednekolymsk) { {670348800 39600 1 MAGST} {686073600 36000 0 MAGT} {695750400 39600 0 MAGMMTT} - {701784000 43200 1 MAGST} - {717505200 39600 0 MAGT} + {701794800 43200 1 MAGST} + {717519600 39600 0 MAGT} {733244400 43200 1 MAGST} {748969200 39600 0 MAGT} {764694000 43200 1 MAGST} diff --git a/library/tzdata/Asia/Tomsk b/library/tzdata/Asia/Tomsk new file mode 100644 index 0000000..0694d01 --- /dev/null +++ b/library/tzdata/Asia/Tomsk @@ -0,0 +1,73 @@ +# created by tools/tclZIC.tcl - do not edit + +set TZData(:Asia/Tomsk) { + {-9223372036854775808 20391 0 LMT} + {-1578807591 21600 0 +06} + {-1247551200 25200 0 +08} + {354906000 28800 1 +08} + {370713600 25200 0 +07} + {386442000 28800 1 +08} + {402249600 25200 0 +07} + {417978000 28800 1 +08} + {433785600 25200 0 +07} + {449600400 28800 1 +08} + {465332400 25200 0 +07} + {481057200 28800 1 +08} + {496782000 25200 0 +07} + {512506800 28800 1 +08} + {528231600 25200 0 +07} + {543956400 28800 1 +08} + {559681200 25200 0 +07} + {575406000 28800 1 +08} + {591130800 25200 0 +07} + {606855600 28800 1 +08} + {622580400 25200 0 +07} + {638305200 28800 1 +08} + {654634800 25200 0 +07} + {670359600 21600 0 +07} + {670363200 25200 1 +07} + {686088000 21600 0 +06} + {695764800 25200 0 +08} + {701809200 28800 1 +08} + {717534000 25200 0 +07} + {733258800 28800 1 +08} + {748983600 25200 0 +07} + {764708400 28800 1 +08} + {780433200 25200 0 +07} + {796158000 28800 1 +08} + {811882800 25200 0 +07} + {828212400 28800 1 +08} + {846356400 25200 0 +07} + {859662000 28800 1 +08} + {877806000 25200 0 +07} + {891111600 28800 1 +08} + {909255600 25200 0 +07} + {922561200 28800 1 +08} + {941310000 25200 0 +07} + {954010800 28800 1 +08} + {972759600 25200 0 +07} + {985460400 28800 1 +08} + {1004209200 25200 0 +07} + {1017514800 28800 1 +08} + {1020196800 25200 0 +07} + {1035662400 21600 0 +06} + {1048968000 25200 1 +07} + {1067112000 21600 0 +06} + {1080417600 25200 1 +07} + {1099166400 21600 0 +06} + {1111867200 25200 1 +07} + {1130616000 21600 0 +06} + {1143316800 25200 1 +07} + {1162065600 21600 0 +06} + {1174766400 25200 1 +07} + {1193515200 21600 0 +06} + {1206820800 25200 1 +07} + {1224964800 21600 0 +06} + {1238270400 25200 1 +07} + {1256414400 21600 0 +06} + {1269720000 25200 1 +07} + {1288468800 21600 0 +06} + {1301169600 25200 0 +07} + {1414263600 21600 0 +06} + {1464465600 25200 0 +07} +} diff --git a/library/tzdata/Asia/Ust-Nera b/library/tzdata/Asia/Ust-Nera index 90fa7d5..3380b7b 100644 --- a/library/tzdata/Asia/Ust-Nera +++ b/library/tzdata/Asia/Ust-Nera @@ -27,8 +27,8 @@ set TZData(:Asia/Ust-Nera) { {670348800 39600 1 MAGST} {686073600 36000 0 MAGT} {695750400 39600 0 MAGMMTT} - {701784000 43200 1 MAGST} - {717505200 39600 0 MAGT} + {701794800 43200 1 MAGST} + {717519600 39600 0 MAGT} {733244400 43200 1 MAGST} {748969200 39600 0 MAGT} {764694000 43200 1 MAGST} diff --git a/library/tzdata/Asia/Vladivostok b/library/tzdata/Asia/Vladivostok index 119ff57..b279d1c 100644 --- a/library/tzdata/Asia/Vladivostok +++ b/library/tzdata/Asia/Vladivostok @@ -28,8 +28,8 @@ set TZData(:Asia/Vladivostok) { {670352400 36000 1 VLAST} {686077200 32400 0 VLAT} {695754000 36000 0 VLAMMTT} - {701787600 39600 1 VLAST} - {717508800 36000 0 VLAT} + {701798400 39600 1 VLAST} + {717523200 36000 0 VLAT} {733248000 39600 1 VLAST} {748972800 36000 0 VLAT} {764697600 39600 1 VLAST} diff --git a/library/tzdata/Asia/Yakutsk b/library/tzdata/Asia/Yakutsk index 17493a6..0074379 100644 --- a/library/tzdata/Asia/Yakutsk +++ b/library/tzdata/Asia/Yakutsk @@ -28,8 +28,8 @@ set TZData(:Asia/Yakutsk) { {670356000 32400 1 YAKST} {686080800 28800 0 YAKT} {695757600 32400 0 YAKMMTT} - {701791200 36000 1 YAKST} - {717512400 32400 0 YAKT} + {701802000 36000 1 YAKST} + {717526800 32400 0 YAKT} {733251600 36000 1 YAKST} {748976400 32400 0 YAKT} {764701200 36000 1 YAKST} diff --git a/library/tzdata/Asia/Yekaterinburg b/library/tzdata/Asia/Yekaterinburg index 2678958..fdd89b0 100644 --- a/library/tzdata/Asia/Yekaterinburg +++ b/library/tzdata/Asia/Yekaterinburg @@ -29,8 +29,8 @@ set TZData(:Asia/Yekaterinburg) { {670370400 18000 1 SVEST} {686095200 14400 0 SVET} {695772000 18000 0 YEKMMTT} - {701805600 21600 1 YEKST} - {717526800 18000 0 YEKT} + {701816400 21600 1 YEKST} + {717541200 18000 0 YEKT} {733266000 21600 1 YEKST} {748990800 18000 0 YEKT} {764715600 21600 1 YEKST} diff --git a/library/tzdata/Asia/Yerevan b/library/tzdata/Asia/Yerevan index 22008ef..c552403 100644 --- a/library/tzdata/Asia/Yerevan +++ b/library/tzdata/Asia/Yerevan @@ -27,8 +27,8 @@ set TZData(:Asia/Yerevan) { {670370400 14400 1 YERST} {685569600 14400 0 AMST} {686098800 10800 0 AMT} - {701812800 14400 1 AMST} - {717534000 10800 0 AMT} + {701823600 14400 1 AMST} + {717548400 10800 0 AMT} {733273200 14400 1 AMST} {748998000 10800 0 AMT} {764722800 14400 1 AMST} @@ -66,5 +66,5 @@ set TZData(:Asia/Yerevan) { {1288476000 14400 0 AMT} {1301176800 18000 1 AMST} {1319925600 14400 0 AMT} - {1332626400 14400 0 AMT} + {1328731200 14400 0 AMT} } diff --git a/library/tzdata/Europe/Astrakhan b/library/tzdata/Europe/Astrakhan index e5e9c26..9881bb8 100644 --- a/library/tzdata/Europe/Astrakhan +++ b/library/tzdata/Europe/Astrakhan @@ -26,8 +26,9 @@ set TZData(:Europe/Astrakhan) { {638319600 14400 1 +04} {654649200 10800 0 +03} {670374000 14400 0 +04} - {701820000 14400 0 +04} - {717534000 10800 0 +03} + {701820000 10800 0 +04} + {701823600 14400 1 +04} + {717548400 10800 0 +03} {733273200 14400 1 +04} {748998000 10800 0 +03} {764722800 14400 1 +04} diff --git a/library/tzdata/Europe/Kaliningrad b/library/tzdata/Europe/Kaliningrad index 32d7aaa..85add82 100644 --- a/library/tzdata/Europe/Kaliningrad +++ b/library/tzdata/Europe/Kaliningrad @@ -42,8 +42,8 @@ set TZData(:Europe/Kaliningrad) { {654652800 7200 0 EET} {670377600 10800 1 EEST} {686102400 7200 0 EET} - {701816400 10800 1 EEST} - {717537600 7200 0 EET} + {701827200 10800 1 EEST} + {717552000 7200 0 EET} {733276800 10800 1 EEST} {749001600 7200 0 EET} {764726400 10800 1 EEST} diff --git a/library/tzdata/Europe/Kirov b/library/tzdata/Europe/Kirov new file mode 100644 index 0000000..82ffc9e --- /dev/null +++ b/library/tzdata/Europe/Kirov @@ -0,0 +1,70 @@ +# created by tools/tclZIC.tcl - do not edit + +set TZData(:Europe/Kirov) { + {-9223372036854775808 11928 0 LMT} + {-1593825528 10800 0 +03} + {-1247540400 14400 0 +05} + {354916800 18000 1 +05} + {370724400 14400 0 +04} + {386452800 18000 1 +05} + {402260400 14400 0 +04} + {417988800 18000 1 +05} + {433796400 14400 0 +04} + {449611200 18000 1 +05} + {465343200 14400 0 +04} + {481068000 18000 1 +05} + {496792800 14400 0 +04} + {512517600 18000 1 +05} + {528242400 14400 0 +04} + {543967200 18000 1 +05} + {559692000 14400 0 +04} + {575416800 18000 1 +05} + {591141600 14400 0 +04} + {606866400 10800 0 +04} + {606870000 14400 1 +04} + {622594800 10800 0 +03} + {638319600 14400 1 +04} + {654649200 10800 0 +03} + {670374000 14400 0 +04} + {701820000 10800 0 +04} + {701823600 14400 1 +04} + {717548400 10800 0 +03} + {733273200 14400 1 +04} + {748998000 10800 0 +03} + {764722800 14400 1 +04} + {780447600 10800 0 +03} + {796172400 14400 1 +04} + {811897200 10800 0 +03} + {828226800 14400 1 +04} + {846370800 10800 0 +03} + {859676400 14400 1 +04} + {877820400 10800 0 +03} + {891126000 14400 1 +04} + {909270000 10800 0 +03} + {922575600 14400 1 +04} + {941324400 10800 0 +03} + {954025200 14400 1 +04} + {972774000 10800 0 +03} + {985474800 14400 1 +04} + {1004223600 10800 0 +03} + {1017529200 14400 1 +04} + {1035673200 10800 0 +03} + {1048978800 14400 1 +04} + {1067122800 10800 0 +03} + {1080428400 14400 1 +04} + {1099177200 10800 0 +03} + {1111878000 14400 1 +04} + {1130626800 10800 0 +03} + {1143327600 14400 1 +04} + {1162076400 10800 0 +03} + {1174777200 14400 1 +04} + {1193526000 10800 0 +03} + {1206831600 14400 1 +04} + {1224975600 10800 0 +03} + {1238281200 14400 1 +04} + {1256425200 10800 0 +03} + {1269730800 14400 1 +04} + {1288479600 10800 0 +03} + {1301180400 14400 0 +04} + {1414274400 10800 0 +03} +} diff --git a/library/tzdata/Europe/Minsk b/library/tzdata/Europe/Minsk index 0acb4aa..5e47063 100644 --- a/library/tzdata/Europe/Minsk +++ b/library/tzdata/Europe/Minsk @@ -33,7 +33,8 @@ set TZData(:Europe/Minsk) { {670374000 10800 1 EEST} {686102400 7200 0 EET} {701820000 10800 1 EEST} - {717544800 7200 0 EET} + {717544800 10800 0 EEST} + {717552000 7200 0 EET} {733276800 10800 1 EEST} {749001600 7200 0 EET} {764726400 10800 1 EEST} diff --git a/library/tzdata/Europe/Moscow b/library/tzdata/Europe/Moscow index 686b3d0..1e2f45b 100644 --- a/library/tzdata/Europe/Moscow +++ b/library/tzdata/Europe/Moscow @@ -40,8 +40,8 @@ set TZData(:Europe/Moscow) { {670377600 10800 1 EEST} {686102400 7200 0 EET} {695779200 10800 0 MSD} - {701812800 14400 1 MSD} - {717534000 10800 0 MSK} + {701823600 14400 1 MSD} + {717548400 10800 0 MSK} {733273200 14400 1 MSD} {748998000 10800 0 MSK} {764722800 14400 1 MSD} diff --git a/library/tzdata/Europe/Samara b/library/tzdata/Europe/Samara index 47615de..08203c0 100644 --- a/library/tzdata/Europe/Samara +++ b/library/tzdata/Europe/Samara @@ -30,8 +30,8 @@ set TZData(:Europe/Samara) { {670377600 10800 1 EEST} {686102400 10800 0 SAMT} {687916800 14400 0 SAMT} - {701809200 18000 1 SAMST} - {717530400 14400 0 SAMT} + {701820000 18000 1 SAMST} + {717544800 14400 0 SAMT} {733269600 18000 1 SAMST} {748994400 14400 0 SAMT} {764719200 18000 1 SAMST} diff --git a/library/tzdata/Europe/Ulyanovsk b/library/tzdata/Europe/Ulyanovsk index b975622..d5c33b5 100644 --- a/library/tzdata/Europe/Ulyanovsk +++ b/library/tzdata/Europe/Ulyanovsk @@ -29,8 +29,8 @@ set TZData(:Europe/Ulyanovsk) { {670377600 10800 1 +03} {686102400 7200 0 +02} {695779200 10800 0 +04} - {701812800 14400 1 +04} - {717534000 10800 0 +03} + {701823600 14400 1 +04} + {717548400 10800 0 +03} {733273200 14400 1 +04} {748998000 10800 0 +03} {764722800 14400 1 +04} diff --git a/library/tzdata/Europe/Volgograd b/library/tzdata/Europe/Volgograd index ef33d4b..83996b0 100644 --- a/library/tzdata/Europe/Volgograd +++ b/library/tzdata/Europe/Volgograd @@ -28,8 +28,9 @@ set TZData(:Europe/Volgograd) { {638319600 14400 1 VOLST} {654649200 10800 0 VOLT} {670374000 14400 0 VOLT} - {701820000 14400 0 MSD} - {717534000 10800 0 MSK} + {701820000 10800 0 MSD} + {701823600 14400 1 MSD} + {717548400 10800 0 MSK} {733273200 14400 1 MSD} {748998000 10800 0 MSK} {764722800 14400 1 MSD} -- cgit v0.12 From 8be766f938d6042a4a05a1ddd6dcb4ec3b99f27b Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 29 Apr 2016 17:34:14 +0000 Subject: Refactor bytecode initialization machinery. --- generic/tclCompile.c | 47 ++++++++++++++++++++++++----------------------- 1 file changed, 24 insertions(+), 23 deletions(-) diff --git a/generic/tclCompile.c b/generic/tclCompile.c index 002b551..8665187 100644 --- a/generic/tclCompile.c +++ b/generic/tclCompile.c @@ -2735,6 +2735,29 @@ TclInitByteCodeObj( iPtr = envPtr->iPtr; + for (i = 0; i < numLitObjects; i++) { + if (objPtr == TclFetchLiteral(envPtr, i)) { + /* + * Prevent circular reference where the bytecode intrep of + * a value contains a literal which is that same value. + * If this is allowed to happen, refcount decrements may not + * reach zero, and memory may leak. Bugs 467523, 3357771 + * + * NOTE: [Bugs 3392070, 3389764] We make a copy based completely + * on the string value, and do not call Tcl_DuplicateObj() so we + * can be sure we do not have any lingering cycles hiding in + * the intrep. + */ + int numBytes; + const char *bytes = Tcl_GetStringFromObj(objPtr, &numBytes); + Tcl_Obj *copyPtr = Tcl_NewStringObj(bytes, numBytes); + + Tcl_IncrRefCount(copyPtr); + TclReleaseLiteral((Tcl_Interp *)iPtr, objPtr); + + envPtr->literalArrayPtr[i].objPtr = copyPtr; + } + } codeBytes = envPtr->codeNext - envPtr->codeStart; objArrayBytes = envPtr->literalArrayNext * sizeof(Tcl_Obj *); exceptArrayBytes = envPtr->exceptArrayNext * sizeof(ExceptionRange); @@ -2791,29 +2814,7 @@ TclInitByteCodeObj( p += TCL_ALIGN(codeBytes); /* align object array */ codePtr->objArrayPtr = (Tcl_Obj **) p; for (i = 0; i < numLitObjects; i++) { - Tcl_Obj *fetched = TclFetchLiteral(envPtr, i); - - if (objPtr == fetched) { - /* - * Prevent circular reference where the bytecode intrep of - * a value contains a literal which is that same value. - * If this is allowed to happen, refcount decrements may not - * reach zero, and memory may leak. Bugs 467523, 3357771 - * - * NOTE: [Bugs 3392070, 3389764] We make a copy based completely - * on the string value, and do not call Tcl_DuplicateObj() so we - * can be sure we do not have any lingering cycles hiding in - * the intrep. - */ - int numBytes; - const char *bytes = Tcl_GetStringFromObj(objPtr, &numBytes); - - codePtr->objArrayPtr[i] = Tcl_NewStringObj(bytes, numBytes); - Tcl_IncrRefCount(codePtr->objArrayPtr[i]); - TclReleaseLiteral((Tcl_Interp *)iPtr, objPtr); - } else { - codePtr->objArrayPtr[i] = fetched; - } + codePtr->objArrayPtr[i] = TclFetchLiteral(envPtr, i); } p += TCL_ALIGN(objArrayBytes); /* align exception range array */ -- cgit v0.12 From 272c398b78060d7d8b575bb5aa652f37aa08d666 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 29 Apr 2016 17:52:30 +0000 Subject: Tease apart the bytecode creation machinery from the Tcl_Obj intrep machinery. --- generic/tclCompile.c | 92 ++++++++++++++++++++++++++++++++-------------------- 1 file changed, 57 insertions(+), 35 deletions(-) diff --git a/generic/tclCompile.c b/generic/tclCompile.c index 8665187..8837f06 100644 --- a/generic/tclCompile.c +++ b/generic/tclCompile.c @@ -2709,33 +2709,14 @@ TclCompileNoOp( *---------------------------------------------------------------------- */ -void -TclInitByteCodeObj( - Tcl_Obj *objPtr, /* Points object that should be initialized, - * and whose string rep contains the source - * code. */ - register CompileEnv *envPtr)/* Points to the CompileEnv structure from - * which to create a ByteCode structure. */ +static void +PreventCycle( + Tcl_Obj *objPtr, + CompileEnv *envPtr) { - register ByteCode *codePtr; - size_t codeBytes, objArrayBytes, exceptArrayBytes, cmdLocBytes; - size_t auxDataArrayBytes, structureSize; - register unsigned char *p; -#ifdef TCL_COMPILE_DEBUG - unsigned char *nextPtr; -#endif - int numLitObjects = envPtr->literalArrayNext; - Namespace *namespacePtr; - int i, isNew; - Interp *iPtr; - - if (envPtr->iPtr == NULL) { - Tcl_Panic("TclInitByteCodeObj() called on uninitialized CompileEnv"); - } - - iPtr = envPtr->iPtr; + int i; - for (i = 0; i < numLitObjects; i++) { + for (i = 0; i < envPtr->literalArrayNext; i++) { if (objPtr == TclFetchLiteral(envPtr, i)) { /* * Prevent circular reference where the bytecode intrep of @@ -2753,11 +2734,36 @@ TclInitByteCodeObj( Tcl_Obj *copyPtr = Tcl_NewStringObj(bytes, numBytes); Tcl_IncrRefCount(copyPtr); - TclReleaseLiteral((Tcl_Interp *)iPtr, objPtr); + TclReleaseLiteral((Tcl_Interp *)envPtr->iPtr, objPtr); envPtr->literalArrayPtr[i].objPtr = copyPtr; } } +} + +static ByteCode * +TclInitByteCode( + register CompileEnv *envPtr)/* Points to the CompileEnv structure from + * which to create a ByteCode structure. */ +{ + register ByteCode *codePtr; + size_t codeBytes, objArrayBytes, exceptArrayBytes, cmdLocBytes; + size_t auxDataArrayBytes, structureSize; + register unsigned char *p; +#ifdef TCL_COMPILE_DEBUG + unsigned char *nextPtr; +#endif + int numLitObjects = envPtr->literalArrayNext; + Namespace *namespacePtr; + int i, isNew; + Interp *iPtr; + + if (envPtr->iPtr == NULL) { + Tcl_Panic("TclInitByteCodeObj() called on uninitialized CompileEnv"); + } + + iPtr = envPtr->iPtr; + codeBytes = envPtr->codeNext - envPtr->codeStart; objArrayBytes = envPtr->literalArrayNext * sizeof(Tcl_Obj *); exceptArrayBytes = envPtr->exceptArrayNext * sizeof(ExceptionRange); @@ -2857,15 +2863,6 @@ TclInitByteCodeObj( #endif /* TCL_COMPILE_STATS */ /* - * Free the old internal rep then convert the object to a bytecode object - * by making its internal rep point to the just compiled ByteCode. - */ - - TclFreeIntRep(objPtr); - objPtr->internalRep.twoPtrValue.ptr1 = codePtr; - objPtr->typePtr = &tclByteCodeType; - - /* * TIP #280. Associate the extended per-word line information with the * byte code object (internal rep), for use with the bc compiler. */ @@ -2878,6 +2875,31 @@ TclInitByteCodeObj( envPtr->iPtr = NULL; codePtr->localCachePtr = NULL; + return codePtr; +} + +void +TclInitByteCodeObj( + Tcl_Obj *objPtr, /* Points object that should be initialized, + * and whose string rep contains the source + * code. */ + register CompileEnv *envPtr)/* Points to the CompileEnv structure from + * which to create a ByteCode structure. */ +{ + ByteCode *codePtr; + + PreventCycle(objPtr, envPtr); + + codePtr = TclInitByteCode(envPtr); + + /* + * Free the old internal rep then convert the object to a bytecode object + * by making its internal rep point to the just compiled ByteCode. + */ + + TclFreeIntRep(objPtr); + objPtr->internalRep.twoPtrValue.ptr1 = codePtr; + objPtr->typePtr = &tclByteCodeType; } /* -- cgit v0.12 From 44deb5c463cd7905f01f7cb74ac29d0e9d90972a Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 29 Apr 2016 17:58:33 +0000 Subject: Make obj-free bytecode maker available to rest of compile-related files. --- generic/tclCompile.c | 3 ++- generic/tclCompile.h | 1 + 2 files changed, 3 insertions(+), 1 deletion(-) diff --git a/generic/tclCompile.c b/generic/tclCompile.c index 8837f06..32a09b2 100644 --- a/generic/tclCompile.c +++ b/generic/tclCompile.c @@ -677,6 +677,7 @@ static void FreeSubstCodeInternalRep(Tcl_Obj *objPtr); static int GetCmdLocEncodingSize(CompileEnv *envPtr); static int IsCompactibleCompileEnv(Tcl_Interp *interp, CompileEnv *envPtr); +static void PreventCycle(Tcl_Obj *objPtr, CompileEnv *envPtr); #ifdef TCL_COMPILE_STATS static void RecordByteCodeStats(ByteCode *codePtr); #endif /* TCL_COMPILE_STATS */ @@ -2741,7 +2742,7 @@ PreventCycle( } } -static ByteCode * +ByteCode * TclInitByteCode( register CompileEnv *envPtr)/* Points to the CompileEnv structure from * which to create a ByteCode structure. */ diff --git a/generic/tclCompile.h b/generic/tclCompile.h index 86a9db0..af8d60f 100644 --- a/generic/tclCompile.h +++ b/generic/tclCompile.h @@ -1118,6 +1118,7 @@ MODULE_SCOPE int TclFixupForwardJump(CompileEnv *envPtr, int distThreshold); MODULE_SCOPE void TclFreeCompileEnv(CompileEnv *envPtr); MODULE_SCOPE void TclFreeJumpFixupArray(JumpFixupArray *fixupArrayPtr); +MODULE_SCOPE ByteCode * TclInitByteCode(CompileEnv *envPtr); MODULE_SCOPE void TclInitByteCodeObj(Tcl_Obj *objPtr, CompileEnv *envPtr); MODULE_SCOPE void TclInitCompileEnv(Tcl_Interp *interp, -- cgit v0.12 From 100542f06740e0120d51ef844f61d47b10ce39ef Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 29 Apr 2016 18:02:55 +0000 Subject: No longer need to create Tcl_Obj just to make some bytecode. --- generic/tclCompExpr.c | 7 ++----- 1 file changed, 2 insertions(+), 5 deletions(-) diff --git a/generic/tclCompExpr.c b/generic/tclCompExpr.c index 4390282..654666a 100644 --- a/generic/tclCompExpr.c +++ b/generic/tclCompExpr.c @@ -2181,7 +2181,6 @@ ExecConstantExprTree( CompileEnv *envPtr; ByteCode *byteCodePtr; int code; - Tcl_Obj *byteCodeObj = Tcl_NewObj(); NRE_callback *rootPtr = TOP_CB(interp); /* @@ -2195,14 +2194,12 @@ ExecConstantExprTree( CompileExprTree(interp, nodes, index, litObjvPtr, NULL, NULL, envPtr, 0 /* optimize */); TclEmitOpcode(INST_DONE, envPtr); - Tcl_IncrRefCount(byteCodeObj); - TclInitByteCodeObj(byteCodeObj, envPtr); + byteCodePtr = TclInitByteCode(envPtr); TclFreeCompileEnv(envPtr); TclStackFree(interp, envPtr); - byteCodePtr = byteCodeObj->internalRep.twoPtrValue.ptr1; TclNRExecuteByteCode(interp, byteCodePtr); code = TclNRRunCallbacks(interp, TCL_OK, rootPtr); - Tcl_DecrRefCount(byteCodeObj); + TclReleaseByteCode(byteCodePtr); return code; } -- cgit v0.12 From d41d08e1111a2353e98c6814043b6441e6e71b64 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 29 Apr 2016 19:29:14 +0000 Subject: Parameterize TclInitByteCodeObj to callers sense of typePtr. --- generic/tclAssembly.c | 4 +--- generic/tclCompile.c | 12 ++++++------ generic/tclCompile.h | 4 ++-- generic/tclExecute.c | 4 +--- 4 files changed, 10 insertions(+), 14 deletions(-) diff --git a/generic/tclAssembly.c b/generic/tclAssembly.c index 7db5d69..4ad31d2 100644 --- a/generic/tclAssembly.c +++ b/generic/tclAssembly.c @@ -891,15 +891,13 @@ CompileAssembleObj( */ TclEmitOpcode(INST_DONE, &compEnv); - TclInitByteCodeObj(objPtr, &compEnv); - objPtr->typePtr = &assembleCodeType; + codePtr = TclInitByteCodeObj(objPtr, &assembleCodeType, &compEnv); TclFreeCompileEnv(&compEnv); /* * Record the local variable context to which the bytecode pertains */ - codePtr = objPtr->internalRep.twoPtrValue.ptr1; if (iPtr->varFramePtr->localCachePtr) { codePtr->localCachePtr = iPtr->varFramePtr->localCachePtr; codePtr->localCachePtr->refCount++; diff --git a/generic/tclCompile.c b/generic/tclCompile.c index 32a09b2..96b418c 100644 --- a/generic/tclCompile.c +++ b/generic/tclCompile.c @@ -868,7 +868,7 @@ TclSetByteCodeFromAny( #endif /*TCL_COMPILE_DEBUG*/ if (result == TCL_OK) { - TclInitByteCodeObj(objPtr, &compEnv); + (void) TclInitByteCodeObj(objPtr, &tclByteCodeType, &compEnv); #ifdef TCL_COMPILE_DEBUG if (tclTraceCompile >= 2) { TclPrintByteCodeObj(interp, objPtr); @@ -1322,11 +1322,9 @@ CompileSubstObj( TclSubstCompile(interp, bytes, numBytes, flags, 1, &compEnv); TclEmitOpcode(INST_DONE, &compEnv); - TclInitByteCodeObj(objPtr, &compEnv); - objPtr->typePtr = &substCodeType; + codePtr = TclInitByteCodeObj(objPtr, &substCodeType, &compEnv); TclFreeCompileEnv(&compEnv); - codePtr = objPtr->internalRep.twoPtrValue.ptr1; objPtr->internalRep.twoPtrValue.ptr1 = codePtr; objPtr->internalRep.twoPtrValue.ptr2 = INT2PTR(flags); if (iPtr->varFramePtr->localCachePtr) { @@ -2879,11 +2877,12 @@ TclInitByteCode( return codePtr; } -void +ByteCode * TclInitByteCodeObj( Tcl_Obj *objPtr, /* Points object that should be initialized, * and whose string rep contains the source * code. */ + const Tcl_ObjType *typePtr, register CompileEnv *envPtr)/* Points to the CompileEnv structure from * which to create a ByteCode structure. */ { @@ -2900,7 +2899,8 @@ TclInitByteCodeObj( TclFreeIntRep(objPtr); objPtr->internalRep.twoPtrValue.ptr1 = codePtr; - objPtr->typePtr = &tclByteCodeType; + objPtr->typePtr = typePtr; + return codePtr; } /* diff --git a/generic/tclCompile.h b/generic/tclCompile.h index af8d60f..f99c07c 100644 --- a/generic/tclCompile.h +++ b/generic/tclCompile.h @@ -1119,8 +1119,8 @@ MODULE_SCOPE int TclFixupForwardJump(CompileEnv *envPtr, MODULE_SCOPE void TclFreeCompileEnv(CompileEnv *envPtr); MODULE_SCOPE void TclFreeJumpFixupArray(JumpFixupArray *fixupArrayPtr); MODULE_SCOPE ByteCode * TclInitByteCode(CompileEnv *envPtr); -MODULE_SCOPE void TclInitByteCodeObj(Tcl_Obj *objPtr, - CompileEnv *envPtr); +MODULE_SCOPE ByteCode * TclInitByteCodeObj(Tcl_Obj *objPtr, + const Tcl_ObjType *typePtr, CompileEnv *envPtr); MODULE_SCOPE void TclInitCompileEnv(Tcl_Interp *interp, CompileEnv *envPtr, const char *string, int numBytes, const CmdFrame *invoker, int word); diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 2a2b951..cd28a92 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -1565,10 +1565,8 @@ CompileExprObj( */ TclEmitOpcode(INST_DONE, &compEnv); - TclInitByteCodeObj(objPtr, &compEnv); - objPtr->typePtr = &exprCodeType; + codePtr = TclInitByteCodeObj(objPtr, &exprCodeType, &compEnv); TclFreeCompileEnv(&compEnv); - codePtr = objPtr->internalRep.twoPtrValue.ptr1; if (iPtr->varFramePtr->localCachePtr) { codePtr->localCachePtr = iPtr->varFramePtr->localCachePtr; codePtr->localCachePtr->refCount++; -- cgit v0.12 From df18ecdce0832c7722af0396d30c814d1cebe3a3 Mon Sep 17 00:00:00 2001 From: gahr Date: Tue, 3 May 2016 19:50:15 +0000 Subject: =?UTF-8?q?Approximate=20ms=20by=20=CE=BCs/1000?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- library/tcltest/tcltest.tcl | 22 ++++++++++------------ 1 file changed, 10 insertions(+), 12 deletions(-) diff --git a/library/tcltest/tcltest.tcl b/library/tcltest/tcltest.tcl index 3d8ae5f..1ba3c41 100644 --- a/library/tcltest/tcltest.tcl +++ b/library/tcltest/tcltest.tcl @@ -1984,11 +1984,8 @@ proc tcltest::test {name description args} { if {!$setupFailure} { # Register startup time - if {[IsVerbose msec]} { - set msStart [clock milliseconds] - } - if {[IsVerbose usec]} { - set usStart [clock microseconds] + if {[IsVerbose msec] || [IsVerbose usec]} { + set timeStart [clock microseconds] } # Verbose notification of $body start @@ -2095,13 +2092,14 @@ proc tcltest::test {name description args} { } } - if {[IsVerbose msec]} { - set elapsed [expr {[clock milliseconds] - $msStart}] - puts [outputChannel] "++++ $name took $elapsed ms" - } - if {[IsVerbose usec]} { - set elapsed [expr {[clock microseconds] - $usStart}] - puts [outputChannel] "++++ $name took $elapsed μs" + if {[IsVerbose msec] || [IsVerbose usec]} { + set t [expr {[clock microseconds] - $timeStart}] + if {[IsVerbose usec]} { + puts [outputChannel] "++++ $name took $t μs" + } + if {[IsVerbose msec]} { + puts [outputChannel] "++++ $name took [expr {round($t/1000.)}] ms" + } } # if we didn't experience any failures, then we passed -- cgit v0.12 From bcaca1bf7b9159ba02add2f07ddff74fc872093f Mon Sep 17 00:00:00 2001 From: gahr Date: Wed, 4 May 2016 12:23:40 +0000 Subject: Add a note in tcltest manual page to betray false expectations on msec and usec. --- doc/tcltest.n | 6 ++++++ 1 file changed, 6 insertions(+) diff --git a/doc/tcltest.n b/doc/tcltest.n index ac8b73b..05c1922 100644 --- a/doc/tcltest.n +++ b/doc/tcltest.n @@ -895,6 +895,12 @@ Print each test's execution time in milliseconds .IP "usec (\fBu\fR)" Print each test's execution time in microseconds .PP +Note that the \fBmsec\fR and \fBusec\fR verbosity levels are provided as +indicative measures only. They do not tackle the problem of repeatibility which +should be considered in performance tests or benchmarks. To use these verbosity +levels to thoroughly track performance degradations, consider wrapping your +test bodies with \fBtime\fR commands. +.PP The single letter abbreviations noted above are also recognized so that .QW "\fBconfigure \-verbose pt\fR" -- cgit v0.12 From b87ec263c780440f2e79ab29f3dea7a4bf02ba1d Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 6 May 2016 16:03:15 +0000 Subject: Bug fix. Have to arrange to only close a catch once. After the space has been returned to placeholder values, closing with them as data leads to memory corruption. There's probably a better fix available because the error here feels like it's rooted somewhere else, having us continue to check values we ought to know have already been closed. --- generic/tclAssembly.c | 3 +++ 1 file changed, 3 insertions(+) diff --git a/generic/tclAssembly.c b/generic/tclAssembly.c index 6d5676b..d02721d 100644 --- a/generic/tclAssembly.c +++ b/generic/tclAssembly.c @@ -3984,6 +3984,9 @@ UnstackExpiredCatches( while (catchDepth > bbPtr->catchDepth) { --catchDepth; + if (catches[catchDepth] == NULL) { + continue; + } range = envPtr->exceptArrayPtr + catchIndices[catchDepth]; range->numCodeBytes = bbPtr->startOffset - range->codeOffset; catches[catchDepth] = NULL; -- cgit v0.12 From f5ebd5a3cc1ef2c91382d3954be94bee505858c8 Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 12 May 2016 19:44:41 +0000 Subject: Remove the nsPtr field from the EnsembleCmdRep struct. Cannot see any justification for keeping it (can get via token), and test suite doesn't care. --- generic/tclEnsemble.c | 9 +-------- generic/tclInt.h | 2 -- 2 files changed, 1 insertion(+), 10 deletions(-) diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index 986a553..ecf10ff 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -1707,8 +1707,7 @@ NsEnsembleImplementationCmdNR( EnsembleCmdRep *ensembleCmd = objv[1+ensemblePtr->numParameters] ->internalRep.twoPtrValue.ptr1; - if (ensembleCmd->nsPtr == ensemblePtr->nsPtr && - ensembleCmd->epoch == ensemblePtr->epoch && + if (ensembleCmd->epoch == ensemblePtr->epoch && ensembleCmd->token == ensemblePtr->token) { prefixObj = ensembleCmd->realPrefixObj; Tcl_IncrRefCount(prefixObj); @@ -2227,7 +2226,6 @@ MakeCachedEnsembleCommand( if (objPtr->typePtr == &tclEnsembleCmdType) { ensembleCmd = objPtr->internalRep.twoPtrValue.ptr1; Tcl_DecrRefCount(ensembleCmd->realPrefixObj); - TclNsDecrRefCount(ensembleCmd->nsPtr); ckfree(ensembleCmd->fullSubcmdName); } else { /* @@ -2245,10 +2243,8 @@ MakeCachedEnsembleCommand( * Populate the internal rep. */ - ensembleCmd->nsPtr = ensemblePtr->nsPtr; ensembleCmd->epoch = ensemblePtr->epoch; ensembleCmd->token = ensemblePtr->token; - ensemblePtr->nsPtr->refCount++; ensembleCmd->realPrefixObj = prefixObjPtr; length = strlen(subcommandName)+1; ensembleCmd->fullSubcmdName = ckalloc(length); @@ -2636,7 +2632,6 @@ FreeEnsembleCmdRep( Tcl_DecrRefCount(ensembleCmd->realPrefixObj); ckfree(ensembleCmd->fullSubcmdName); - TclNsDecrRefCount(ensembleCmd->nsPtr); ckfree(ensembleCmd); objPtr->typePtr = NULL; } @@ -2670,10 +2665,8 @@ DupEnsembleCmdRep( copyPtr->typePtr = &tclEnsembleCmdType; copyPtr->internalRep.twoPtrValue.ptr1 = ensembleCopy; - ensembleCopy->nsPtr = ensembleCmd->nsPtr; ensembleCopy->epoch = ensembleCmd->epoch; ensembleCopy->token = ensembleCmd->token; - ensembleCopy->nsPtr->refCount++; ensembleCopy->realPrefixObj = ensembleCmd->realPrefixObj; Tcl_IncrRefCount(ensembleCopy->realPrefixObj); ensembleCopy->fullSubcmdName = ckalloc(length + 1); diff --git a/generic/tclInt.h b/generic/tclInt.h index 42c13dd..e00c392 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -395,8 +395,6 @@ struct NamespacePathEntry { */ typedef struct { - Namespace *nsPtr; /* The namespace backing the ensemble which - * this is a subcommand of. */ int epoch; /* Used to confirm when the data in this * really structure matches up with the * ensemble. */ -- cgit v0.12 From e0ed43c52629c283f02e749517e7fc83ace2942e Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 12 May 2016 19:49:06 +0000 Subject: The "ensembleCommand" Tcl_ObjType has no need for an UpdateString routine. It is entirely a caching type. No "pure" value can exist. --- generic/tclEnsemble.c | 32 +------------------------------- 1 file changed, 1 insertion(+), 31 deletions(-) diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index ecf10ff..ead96a3 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -34,7 +34,6 @@ static void MakeCachedEnsembleCommand(Tcl_Obj *objPtr, const char *subcmdName, Tcl_Obj *prefixObjPtr); static void FreeEnsembleCmdRep(Tcl_Obj *objPtr); static void DupEnsembleCmdRep(Tcl_Obj *objPtr, Tcl_Obj *copyPtr); -static void StringOfEnsembleCmdRep(Tcl_Obj *objPtr); static void CompileToInvokedCommand(Tcl_Interp *interp, Tcl_Parse *parsePtr, Tcl_Obj *replacements, Command *cmdPtr, CompileEnv *envPtr); @@ -81,7 +80,7 @@ const Tcl_ObjType tclEnsembleCmdType = { "ensembleCommand", /* the type's name */ FreeEnsembleCmdRep, /* freeIntRepProc */ DupEnsembleCmdRep, /* dupIntRepProc */ - StringOfEnsembleCmdRep, /* updateStringProc */ + NULL, /* updateStringProc */ NULL /* setFromAnyProc */ }; @@ -2677,35 +2676,6 @@ DupEnsembleCmdRep( /* *---------------------------------------------------------------------- * - * StringOfEnsembleCmdRep -- - * - * Creates a string representation of a Tcl_Obj that holds a subcommand - * of an ensemble. - * - * Results: - * None. - * - * Side effects: - * The object gains a string (UTF-8) representation. - * - *---------------------------------------------------------------------- - */ - -static void -StringOfEnsembleCmdRep( - Tcl_Obj *objPtr) -{ - EnsembleCmdRep *ensembleCmd = objPtr->internalRep.twoPtrValue.ptr1; - int length = strlen(ensembleCmd->fullSubcmdName); - - objPtr->length = length; - objPtr->bytes = ckalloc(length + 1); - memcpy(objPtr->bytes, ensembleCmd->fullSubcmdName, (unsigned) length+1); -} - -/* - *---------------------------------------------------------------------- - * * TclCompileEnsemble -- * * Procedure called to compile an ensemble command. Note that most -- cgit v0.12 From 67801a78ad4a2571cbdb9f8358f88edc001776dc Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 12 May 2016 20:23:23 +0000 Subject: Don't see why the intrep should make and keep copies of things already stored in the hash table. --- generic/tclEnsemble.c | 37 ++++++++++--------------------------- generic/tclIndexObj.c | 6 ++++-- generic/tclInt.h | 8 +++----- 3 files changed, 17 insertions(+), 34 deletions(-) diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index ead96a3..986b7c1 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -30,8 +30,7 @@ static int NsEnsembleStringOrder(const void *strPtr1, const void *strPtr2); static void DeleteEnsembleConfig(ClientData clientData); static void MakeCachedEnsembleCommand(Tcl_Obj *objPtr, - EnsembleConfig *ensemblePtr, - const char *subcmdName, Tcl_Obj *prefixObjPtr); + EnsembleConfig *ensemblePtr, Tcl_HashEntry *hPtr); static void FreeEnsembleCmdRep(Tcl_Obj *objPtr); static void DupEnsembleCmdRep(Tcl_Obj *objPtr, Tcl_Obj *copyPtr); static void CompileToInvokedCommand(Tcl_Interp *interp, @@ -1708,7 +1707,7 @@ NsEnsembleImplementationCmdNR( if (ensembleCmd->epoch == ensemblePtr->epoch && ensembleCmd->token == ensemblePtr->token) { - prefixObj = ensembleCmd->realPrefixObj; + prefixObj = Tcl_GetHashValue(ensembleCmd->hPtr); Tcl_IncrRefCount(prefixObj); goto runResultingSubcommand; } @@ -1726,16 +1725,13 @@ NsEnsembleImplementationCmdNR( hPtr = Tcl_FindHashEntry(&ensemblePtr->subcommandTable, TclGetString(objv[1 + ensemblePtr->numParameters])); if (hPtr != NULL) { - char *fullName = Tcl_GetHashKey(&ensemblePtr->subcommandTable, hPtr); - - prefixObj = Tcl_GetHashValue(hPtr); /* * Cache for later in the subcommand object. */ MakeCachedEnsembleCommand(objv[1 + ensemblePtr->numParameters], - ensemblePtr, fullName, prefixObj); + ensemblePtr, hPtr); } else if (!(ensemblePtr->flags & TCL_ENSEMBLE_PREFIX)) { /* * Could not map, no prefixing, go to unknown/error handling. @@ -1797,16 +1793,16 @@ NsEnsembleImplementationCmdNR( Tcl_Panic("full name %s not found in supposedly synchronized hash", fullName); } - prefixObj = Tcl_GetHashValue(hPtr); /* * Cache for later in the subcommand object. */ MakeCachedEnsembleCommand(objv[1 + ensemblePtr->numParameters], - ensemblePtr, fullName, prefixObj); + ensemblePtr, hPtr); } + prefixObj = Tcl_GetHashValue(hPtr); Tcl_IncrRefCount(prefixObj); runResultingSubcommand: @@ -2216,16 +2212,12 @@ static void MakeCachedEnsembleCommand( Tcl_Obj *objPtr, EnsembleConfig *ensemblePtr, - const char *subcommandName, - Tcl_Obj *prefixObjPtr) + Tcl_HashEntry *hPtr) { register EnsembleCmdRep *ensembleCmd; - int length; if (objPtr->typePtr == &tclEnsembleCmdType) { ensembleCmd = objPtr->internalRep.twoPtrValue.ptr1; - Tcl_DecrRefCount(ensembleCmd->realPrefixObj); - ckfree(ensembleCmd->fullSubcmdName); } else { /* * Kill the old internal rep, and replace it with a brand new one of @@ -2244,11 +2236,8 @@ MakeCachedEnsembleCommand( ensembleCmd->epoch = ensemblePtr->epoch; ensembleCmd->token = ensemblePtr->token; - ensembleCmd->realPrefixObj = prefixObjPtr; - length = strlen(subcommandName)+1; - ensembleCmd->fullSubcmdName = ckalloc(length); - memcpy(ensembleCmd->fullSubcmdName, subcommandName, (unsigned) length); - Tcl_IncrRefCount(ensembleCmd->realPrefixObj); + ensembleCmd->tablePtr = &ensemblePtr->subcommandTable; + ensembleCmd->hPtr = hPtr; } /* @@ -2629,8 +2618,6 @@ FreeEnsembleCmdRep( { EnsembleCmdRep *ensembleCmd = objPtr->internalRep.twoPtrValue.ptr1; - Tcl_DecrRefCount(ensembleCmd->realPrefixObj); - ckfree(ensembleCmd->fullSubcmdName); ckfree(ensembleCmd); objPtr->typePtr = NULL; } @@ -2660,17 +2647,13 @@ DupEnsembleCmdRep( { EnsembleCmdRep *ensembleCmd = objPtr->internalRep.twoPtrValue.ptr1; EnsembleCmdRep *ensembleCopy = ckalloc(sizeof(EnsembleCmdRep)); - int length = strlen(ensembleCmd->fullSubcmdName); copyPtr->typePtr = &tclEnsembleCmdType; copyPtr->internalRep.twoPtrValue.ptr1 = ensembleCopy; ensembleCopy->epoch = ensembleCmd->epoch; ensembleCopy->token = ensembleCmd->token; - ensembleCopy->realPrefixObj = ensembleCmd->realPrefixObj; - Tcl_IncrRefCount(ensembleCopy->realPrefixObj); - ensembleCopy->fullSubcmdName = ckalloc(length + 1); - memcpy(ensembleCopy->fullSubcmdName, ensembleCmd->fullSubcmdName, - (unsigned) length+1); + ensembleCopy->tablePtr = ensembleCmd->tablePtr; + ensembleCopy->hPtr = ensembleCmd->hPtr; } /* diff --git a/generic/tclIndexObj.c b/generic/tclIndexObj.c index ce8b9fb..d01e685 100644 --- a/generic/tclIndexObj.c +++ b/generic/tclIndexObj.c @@ -961,7 +961,7 @@ Tcl_WrongNumArgs( register EnsembleCmdRep *ecrPtr = origObjv[i]->internalRep.twoPtrValue.ptr1; - elementStr = ecrPtr->fullSubcmdName; + elementStr = Tcl_GetHashKey(ecrPtr->tablePtr, ecrPtr->hPtr); elemLen = strlen(elementStr); } else { elementStr = TclGetStringFromObj(origObjv[i], &elemLen); @@ -1014,8 +1014,10 @@ Tcl_WrongNumArgs( } else if (objv[i]->typePtr == &tclEnsembleCmdType) { register EnsembleCmdRep *ecrPtr = objv[i]->internalRep.twoPtrValue.ptr1; + const char *fullSubcmdName + = Tcl_GetHashKey(ecrPtr->tablePtr, ecrPtr->hPtr); - Tcl_AppendStringsToObj(objPtr, ecrPtr->fullSubcmdName, NULL); + Tcl_AppendStringsToObj(objPtr, fullSubcmdName, NULL); } else { /* * Quote the argument if it contains spaces (Bug 942757). diff --git a/generic/tclInt.h b/generic/tclInt.h index e00c392..48eecce 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -400,11 +400,9 @@ typedef struct { * ensemble. */ Tcl_Command token; /* Reference to the comamnd for which this * structure is a cache of the resolution. */ - char *fullSubcmdName; /* The full (local) name of the subcommand, - * allocated with ckalloc(). */ - Tcl_Obj *realPrefixObj; /* Object containing the prefix words of the - * command that implements this ensemble - * subcommand. */ + Tcl_HashTable *tablePtr; /* The subcommand hash table. */ + Tcl_HashEntry *hPtr; /* Direct link to entry in the subcommand + * hash table. */ } EnsembleCmdRep; /* -- cgit v0.12 From 88a98003bf03a290ae31656870efb11b2588d0cd Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 13 May 2016 07:49:50 +0000 Subject: Make tclreg13.dll work in any Unicode environment (either with 32-bit or 64-bit characters). Adopted from Androwish. Thanks to Christian Werner. version -> 1.3.2 --- library/reg/pkgIndex.tcl | 4 ++-- tests/registry.test | 4 ++-- win/Makefile.in | 4 ++-- win/makefile.vc | 4 ++-- win/tclWinReg.c | 28 ++++++++++++++++------------ 5 files changed, 24 insertions(+), 20 deletions(-) diff --git a/library/reg/pkgIndex.tcl b/library/reg/pkgIndex.tcl index 49fd1ac..b1fe234 100755 --- a/library/reg/pkgIndex.tcl +++ b/library/reg/pkgIndex.tcl @@ -1,9 +1,9 @@ if {([info commands ::tcl::pkgconfig] eq "") || ([info sharedlibextension] ne ".dll")} return if {[::tcl::pkgconfig get debug]} { - package ifneeded registry 1.3.1 \ + package ifneeded registry 1.3.2 \ [list load [file join $dir tclreg13g.dll] registry] } else { - package ifneeded registry 1.3.1 \ + package ifneeded registry 1.3.2 \ [list load [file join $dir tclreg13.dll] registry] } diff --git a/tests/registry.test b/tests/registry.test index 0f78212..2072559 100644 --- a/tests/registry.test +++ b/tests/registry.test @@ -19,7 +19,7 @@ testConstraint reg 0 if {[testConstraint win]} { if {![catch { ::tcltest::loadTestedCommands - set ::regver [package require registry 1.3.1] + set ::regver [package require registry 1.3.2] }]} { testConstraint reg 1 } @@ -33,7 +33,7 @@ testConstraint english [expr { test registry-1.0 {check if we are testing the right dll} {win reg} { set ::regver -} {1.3.1} +} {1.3.2} test registry-1.1 {argument parsing for registry command} {win reg} { list [catch {registry} msg] $msg } {1 {wrong # args: should be "registry ?-32bit|-64bit? option ?arg ...?"}} diff --git a/win/Makefile.in b/win/Makefile.in index 2d27a41..cf72e1c 100644 --- a/win/Makefile.in +++ b/win/Makefile.in @@ -713,14 +713,14 @@ test-tcl: binaries $(TCLSH) $(CAT32) $(TEST_DLL_FILE) ./$(TCLSH) "$(ROOT_DIR_NATIVE)/tests/all.tcl" $(TESTFLAGS) \ -load "package ifneeded Tcltest ${VERSION}@TCL_PATCH_LEVEL@ [list load [file normalize ${TEST_DLL_FILE}] Tcltest]; \ package ifneeded dde 1.4.0 [list load [file normalize ${DDE_DLL_FILE}] dde]; \ - package ifneeded registry 1.3.1 [list load [file normalize ${REG_DLL_FILE}] registry]" | ./$(CAT32) + package ifneeded registry 1.3.2 [list load [file normalize ${REG_DLL_FILE}] registry]" | ./$(CAT32) # Useful target to launch a built tclsh with the proper path,... runtest: binaries $(TCLSH) $(TEST_DLL_FILE) @TCL_LIBRARY="$(LIBRARY_DIR)"; export TCL_LIBRARY; \ ./$(TCLSH) $(TESTFLAGS) -load "package ifneeded Tcltest ${VERSION}@TCL_PATCH_LEVEL@ [list load [file normalize ${TEST_DLL_FILE}] Tcltest]; \ package ifneeded dde 1.4.0 [list load [file normalize ${DDE_DLL_FILE}] dde]; \ - package ifneeded registry 1.3.1 [list load [file normalize ${REG_DLL_FILE}] registry]" $(SCRIPT) + package ifneeded registry 1.3.2 [list load [file normalize ${REG_DLL_FILE}] registry]" $(SCRIPT) # This target can be used to run tclsh from the build directory via # `make shell SCRIPT=foo.tcl` diff --git a/win/makefile.vc b/win/makefile.vc index ecfcecf..eb9a594 100644 --- a/win/makefile.vc +++ b/win/makefile.vc @@ -589,13 +589,13 @@ test-core: setup $(TCLTEST) dlls $(CAT32) !if "$(OS)" == "Windows_NT" || "$(MSVCDIR)" == "IDE" $(DEBUGGER) $(TCLTEST) "$(ROOT:\=/)/tests/all.tcl" $(TESTFLAGS) -loadfile << package ifneeded dde 1.4.0 [list load "$(TCLDDELIB:\=/)" dde] - package ifneeded registry 1.3.1 [list load "$(TCLREGLIB:\=/)" registry] + package ifneeded registry 1.3.2 [list load "$(TCLREGLIB:\=/)" registry] << !else @echo Please wait while the tests are collected... $(TCLTEST) "$(ROOT:\=/)/tests/all.tcl" $(TESTFLAGS) -loadfile << > tests.log package ifneeded dde 1.4.0 "$(TCLDDELIB:\=/)" dde] - package ifneeded registry 1.3.1 "$(TCLREGLIB:\=/)" registry] + package ifneeded registry 1.3.2 "$(TCLREGLIB:\=/)" registry] << type tests.log | more !endif diff --git a/win/tclWinReg.c b/win/tclWinReg.c index 56aa991..a3bcc81 100644 --- a/win/tclWinReg.c +++ b/win/tclWinReg.c @@ -163,7 +163,7 @@ Registry_Init( cmd = Tcl_CreateObjCommand(interp, "registry", RegistryObjCmd, interp, DeleteCmd); Tcl_SetAssocData(interp, REGISTRY_ASSOC_KEY, NULL, cmd); - return Tcl_PkgProvide(interp, "registry", "1.3.1"); + return Tcl_PkgProvide(interp, "registry", "1.3.2"); } /* @@ -803,17 +803,17 @@ GetValue( * we get bogus data. */ - while ((p < end) && *((Tcl_UniChar *) p) != 0) { - Tcl_UniChar *up; + while ((p < end) && *((WCHAR *) p) != 0) { + WCHAR *wp; Tcl_WinTCharToUtf((TCHAR *) p, -1, &buf); Tcl_ListObjAppendElement(interp, resultPtr, Tcl_NewStringObj(Tcl_DStringValue(&buf), Tcl_DStringLength(&buf))); - up = (Tcl_UniChar *) p; + wp = (WCHAR *) p; - while (*up++ != 0) {/* empty body */} - p = (char *) up; + while (*wp++ != 0) {/* empty body */} + p = (char *) wp; Tcl_DStringFree(&buf); } Tcl_SetObjResult(interp, resultPtr); @@ -1332,7 +1332,7 @@ SetValue( data = (char *) Tcl_WinUtfToTChar(data, length, &buf); /* - * Include the null in the length, padding if needed for Unicode. + * Include the null in the length, padding if needed for WCHAR. */ Tcl_DStringSetLength(&buf, Tcl_DStringLength(&buf)+1); @@ -1393,9 +1393,10 @@ BroadcastValue( DWORD_PTR sendResult; int timeout = 3000; size_t len; - int unilen; const char *str; Tcl_Obj *objPtr; + WCHAR *wstr; + Tcl_DString ds; if (objc == 3) { str = Tcl_GetString(objv[1]); @@ -1408,9 +1409,11 @@ BroadcastValue( } } - str = (char*)Tcl_GetUnicodeFromObj(objv[0], &unilen); - if (unilen == 0) { - str = NULL; + str = Tcl_GetString(objv[0]); + len = objv[0]->length; + wstr = (WCHAR *) Tcl_WinUtfToTChar(str, len, &ds); + if (Tcl_DStringLength(&ds) == 0) { + wstr = NULL; } /* @@ -1418,7 +1421,8 @@ BroadcastValue( */ result = SendMessageTimeout(HWND_BROADCAST, WM_SETTINGCHANGE, - (WPARAM) 0, (LPARAM) str, SMTO_ABORTIFHUNG, (UINT) timeout, &sendResult); + (WPARAM) 0, (LPARAM) wstr, SMTO_ABORTIFHUNG, (UINT) timeout, &sendResult); + Tcl_DStringFree(&ds); objPtr = Tcl_NewObj(); Tcl_ListObjAppendElement(NULL, objPtr, Tcl_NewLongObj((long) result)); -- cgit v0.12 From 79cda12010d970f8602ad38d1adbb788b1a7888e Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 13 May 2016 09:07:43 +0000 Subject: result/sendResult could be 64-bit, so account for that --- win/tclWinReg.c | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/win/tclWinReg.c b/win/tclWinReg.c index a3bcc81..5f7fd31 100644 --- a/win/tclWinReg.c +++ b/win/tclWinReg.c @@ -1425,8 +1425,8 @@ BroadcastValue( Tcl_DStringFree(&ds); objPtr = Tcl_NewObj(); - Tcl_ListObjAppendElement(NULL, objPtr, Tcl_NewLongObj((long) result)); - Tcl_ListObjAppendElement(NULL, objPtr, Tcl_NewLongObj((long) sendResult)); + Tcl_ListObjAppendElement(NULL, objPtr, Tcl_NewWideIntObj((Tcl_WideInt) result)); + Tcl_ListObjAppendElement(NULL, objPtr, Tcl_NewWideIntObj((Tcl_WideInt) sendResult)); Tcl_SetObjResult(interp, objPtr); return TCL_OK; -- cgit v0.12 From 09ec4a59520b6557298cffe32e679a6733928077 Mon Sep 17 00:00:00 2001 From: dkf Date: Sat, 14 May 2016 06:38:52 +0000 Subject: Tweak a test to not leave around extra commands. --- tests/assemble.test | 19 ++++++++++--------- 1 file changed, 10 insertions(+), 9 deletions(-) diff --git a/tests/assemble.test b/tests/assemble.test index 980de68..a9c77e3 100644 --- a/tests/assemble.test +++ b/tests/assemble.test @@ -3281,7 +3281,9 @@ test assemble-51.4 {memory leak testing} memory { } 0 test assemble-52.1 {Bug 3154ea2759} { - proc __BEGIN {} { + apply {{} { + # Needs six exception ranges to force the range allocations to use the + # malloced store. ::tcl::unsupported::assemble { beginCatch @badLabel push error @@ -3291,7 +3293,7 @@ test assemble-52.1 {Bug 3154ea2759} { push 0 jump @okLabel label @badLabel - push 1; # should be pushReturnCode + push 1; # should be pushReturnCode label @okLabel endCatch pop @@ -3304,7 +3306,7 @@ test assemble-52.1 {Bug 3154ea2759} { push 0 jump @okLabel2 label @badLabel2 - push 1; # should be pushReturnCode + push 1; # should be pushReturnCode label @okLabel2 endCatch pop @@ -3317,7 +3319,7 @@ test assemble-52.1 {Bug 3154ea2759} { push 0 jump @okLabel3 label @badLabel3 - push 1; # should be pushReturnCode + push 1; # should be pushReturnCode label @okLabel3 endCatch pop @@ -3330,7 +3332,7 @@ test assemble-52.1 {Bug 3154ea2759} { push 0 jump @okLabel4 label @badLabel4 - push 1; # should be pushReturnCode + push 1; # should be pushReturnCode label @okLabel4 endCatch pop @@ -3343,7 +3345,7 @@ test assemble-52.1 {Bug 3154ea2759} { push 0 jump @okLabel5 label @badLabel5 - push 1; # should be pushReturnCode + push 1; # should be pushReturnCode label @okLabel5 endCatch pop @@ -3356,13 +3358,12 @@ test assemble-52.1 {Bug 3154ea2759} { push 0 jump @okLabel6 label @badLabel6 - push 1; # should be pushReturnCode + push 1; # should be pushReturnCode label @okLabel6 endCatch pop } - } - __BEGIN + }} } {}; # must not crash rename fillTables {} -- cgit v0.12 From dc3841fe45692ab1cda05625f74d951a5a0460d7 Mon Sep 17 00:00:00 2001 From: dkf Date: Mon, 16 May 2016 10:57:36 +0000 Subject: Possible fix for [f97d4ee020]; uses a two-stage approach to avoid quadratic behaviour. --- generic/tclNamesp.c | 76 +++++++++++++++++++++++++++++++++++++---------------- 1 file changed, 53 insertions(+), 23 deletions(-) diff --git a/generic/tclNamesp.c b/generic/tclNamesp.c index dfab185..d286de4 100644 --- a/generic/tclNamesp.c +++ b/generic/tclNamesp.c @@ -1105,8 +1105,6 @@ TclTeardownNamespace( Interp *iPtr = (Interp *) nsPtr->interp; register Tcl_HashEntry *entryPtr; Tcl_HashSearch search; - Tcl_Namespace *childNsPtr; - Tcl_Command cmd; int i; /* @@ -1121,16 +1119,27 @@ TclTeardownNamespace( /* * Delete all commands in this namespace. Be careful when traversing the * hash table: when each command is deleted, it removes itself from the - * command table. - * - * Don't optimize to Tcl_NextHashEntry() because of traces. + * command table. Because of traces (and the desire to avoid the quadratic + * problems of just using Tcl_FirstHashEntry over and over, [Bug + * f97d4ee020]) we copy to a temporary array and then delete all those + * commands. */ - for (entryPtr = Tcl_FirstHashEntry(&nsPtr->cmdTable, &search); - entryPtr != NULL; - entryPtr = Tcl_FirstHashEntry(&nsPtr->cmdTable, &search)) { - cmd = Tcl_GetHashValue(entryPtr); - Tcl_DeleteCommandFromToken((Tcl_Interp *) iPtr, cmd); + while (nsPtr->cmdTable.numEntries > 0) { + int length = nsPtr->cmdTable.numEntries; + Tcl_Command *cmds = TclStackAlloc((Tcl_Interp *) iPtr, + sizeof(Tcl_Command) * length); + + i = 0; + for (entryPtr = Tcl_FirstHashEntry(&nsPtr->cmdTable, &search); + entryPtr != NULL; + entryPtr = Tcl_NextHashEntry(&search)) { + cmds[i++] = Tcl_GetHashValue(entryPtr); + } + for (i = 0 ; i < length ; i++) { + Tcl_DeleteCommandFromToken((Tcl_Interp *) iPtr, cmds[i]); + } + TclStackFree((Tcl_Interp *) iPtr, cmds); } Tcl_DeleteHashTable(&nsPtr->cmdTable); Tcl_InitHashTable(&nsPtr->cmdTable, TCL_STRING_KEYS); @@ -1175,25 +1184,46 @@ TclTeardownNamespace( * * BE CAREFUL: When each child is deleted, it will divorce itself from its * parent. You can't traverse a hash table properly if its elements are - * being deleted. We use only the Tcl_FirstHashEntry function to be safe. - * - * Don't optimize to Tcl_NextHashEntry() because of traces. + * being deleted. Because of traces (and the desire to avoid the + * quadratic problems of just using Tcl_FirstHashEntry over and over, [Bug + * f97d4ee020]) we copy to a temporary array and then delete all those + * namespaces. */ #ifndef BREAK_NAMESPACE_COMPAT - for (entryPtr = Tcl_FirstHashEntry(&nsPtr->childTable, &search); - entryPtr != NULL; - entryPtr = Tcl_FirstHashEntry(&nsPtr->childTable, &search)) { - childNsPtr = Tcl_GetHashValue(entryPtr); - Tcl_DeleteNamespace(childNsPtr); + while (nsPtr->childTable.numEntries > 0) { + int length = nsPtr->childTable.numEntries; + Tcl_Namespace **nss = TclStackAlloc((Tcl_Interp *) iPtr, + sizeof(Tcl_Namespace *) * length); + + i = 0; + for (entryPtr = Tcl_FirstHashEntry(&nsPtr->childTable, &search); + entryPtr != NULL; + entryPtr = Tcl_NextHashEntry(&search)) { + nss[i++] = Tcl_GetHashValue(entryPtr); + } + for (i = 0 ; i < length ; i++) { + Tcl_DeleteNamespace(nss[i]); + } + TclStackFree((Tcl_Interp *) iPtr, nss); } #else if (nsPtr->childTablePtr != NULL) { - for (entryPtr = Tcl_FirstHashEntry(nsPtr->childTablePtr, &search); - entryPtr != NULL; - entryPtr = Tcl_FirstHashEntry(nsPtr->childTablePtr,&search)) { - childNsPtr = Tcl_GetHashValue(entryPtr); - Tcl_DeleteNamespace(childNsPtr); + while (nsPtr->childTablePtr->numEntries > 0) { + int length = nsPtr->childTablePtr->numEntries; + Tcl_Namespace **nss = TclStackAlloc((Tcl_Interp *) iPtr, + sizeof(Tcl_Namespace *) * length); + + i = 0; + for (entryPtr = Tcl_FirstHashEntry(nsPtr->childTablePtr, &search); + entryPtr != NULL; + entryPtr = Tcl_NextHashEntry(&search)) { + nss[i++] = Tcl_GetHashValue(entryPtr); + } + for (i = 0 ; i < length ; i++) { + Tcl_DeleteNamespace(nss[i]); + } + TclStackFree((Tcl_Interp *) iPtr, nss); } } #endif -- cgit v0.12 From 07666542f4a7b9ba216e19b1fd3d5db1b3f943c3 Mon Sep 17 00:00:00 2001 From: dkf Date: Fri, 20 May 2016 05:14:37 +0000 Subject: Added tests that show that this branch isn't ready to be committed back yet. --- tests/namespace.test | 19 +++++++++++++++++++ 1 file changed, 19 insertions(+) diff --git a/tests/namespace.test b/tests/namespace.test index cded1f4..1b31fc5 100644 --- a/tests/namespace.test +++ b/tests/namespace.test @@ -2953,6 +2953,25 @@ test namespace-54.1 {leak on namespace deletion} -constraints {memory} \ test namespace-55.1 {compiled ensembles inside compiled ensembles: Bug 6d2f249a01} { info class [format %s constructor] oo::object } "" + +test namespace-56.1 {bug f97d4ee020: mutually-entangled deletion} { + namespace eval ::testing { + proc abc {} {} + proc def {} {} + trace add command abc delete "rename ::testing::def {}; #" + trace add command def delete "rename ::testing::abc {}; #" + } + namespace delete ::testing +} {} +test namespace-56.2 {bug f97d4ee020: mutually-entangled deletion} { + namespace eval ::testing { + namespace eval abc {proc xyz {} {}} + namespace eval def {proc xyz {} {}} + trace add command abc::xyz delete "namespace delete ::testing::def {}; #" + trace add command def::xyz delete "namespace delete ::testing::abc {}; #" + } + namespace delete ::testing +} {} # cleanup catch {rename cmd1 {}} -- cgit v0.12 From f74fa93858b232af77de13991c43775c193df25a Mon Sep 17 00:00:00 2001 From: dkf Date: Sat, 21 May 2016 09:26:07 +0000 Subject: Make the tests pass. --- generic/tclNamesp.c | 40 ++++++++++++++++++++++++++-------------- tests/namespace.test | 20 ++++++++++++++++++++ 2 files changed, 46 insertions(+), 14 deletions(-) diff --git a/generic/tclNamesp.c b/generic/tclNamesp.c index d286de4..58a86d9 100644 --- a/generic/tclNamesp.c +++ b/generic/tclNamesp.c @@ -1127,17 +1127,21 @@ TclTeardownNamespace( while (nsPtr->cmdTable.numEntries > 0) { int length = nsPtr->cmdTable.numEntries; - Tcl_Command *cmds = TclStackAlloc((Tcl_Interp *) iPtr, - sizeof(Tcl_Command) * length); + Command **cmds = TclStackAlloc((Tcl_Interp *) iPtr, + sizeof(Command *) * length); i = 0; for (entryPtr = Tcl_FirstHashEntry(&nsPtr->cmdTable, &search); entryPtr != NULL; entryPtr = Tcl_NextHashEntry(&search)) { - cmds[i++] = Tcl_GetHashValue(entryPtr); + cmds[i] = Tcl_GetHashValue(entryPtr); + cmds[i]->refCount++; + i++; } for (i = 0 ; i < length ; i++) { - Tcl_DeleteCommandFromToken((Tcl_Interp *) iPtr, cmds[i]); + Tcl_DeleteCommandFromToken((Tcl_Interp *) iPtr, + (Tcl_Command) cmds[i]); + TclCleanupCommandMacro(cmds[i]); } TclStackFree((Tcl_Interp *) iPtr, cmds); } @@ -1188,42 +1192,50 @@ TclTeardownNamespace( * quadratic problems of just using Tcl_FirstHashEntry over and over, [Bug * f97d4ee020]) we copy to a temporary array and then delete all those * namespaces. + * + * Important: leave the hash table itself still live. */ #ifndef BREAK_NAMESPACE_COMPAT while (nsPtr->childTable.numEntries > 0) { int length = nsPtr->childTable.numEntries; - Tcl_Namespace **nss = TclStackAlloc((Tcl_Interp *) iPtr, - sizeof(Tcl_Namespace *) * length); + Namespace **children = TclStackAlloc((Tcl_Interp *) iPtr, + sizeof(Namespace *) * length); i = 0; for (entryPtr = Tcl_FirstHashEntry(&nsPtr->childTable, &search); entryPtr != NULL; entryPtr = Tcl_NextHashEntry(&search)) { - nss[i++] = Tcl_GetHashValue(entryPtr); + children[i] = Tcl_GetHashValue(entryPtr); + children[i]->refCount++; + i++; } for (i = 0 ; i < length ; i++) { - Tcl_DeleteNamespace(nss[i]); + Tcl_DeleteNamespace((Tcl_Namespace *) children[i]); + TclNsDecrRefCount(children[i]); } - TclStackFree((Tcl_Interp *) iPtr, nss); + TclStackFree((Tcl_Interp *) iPtr, children); } #else if (nsPtr->childTablePtr != NULL) { while (nsPtr->childTablePtr->numEntries > 0) { int length = nsPtr->childTablePtr->numEntries; - Tcl_Namespace **nss = TclStackAlloc((Tcl_Interp *) iPtr, - sizeof(Tcl_Namespace *) * length); + Namespace **children = TclStackAlloc((Tcl_Interp *) iPtr, + sizeof(Namespace *) * length); i = 0; for (entryPtr = Tcl_FirstHashEntry(nsPtr->childTablePtr, &search); entryPtr != NULL; entryPtr = Tcl_NextHashEntry(&search)) { - nss[i++] = Tcl_GetHashValue(entryPtr); + children[i] = Tcl_GetHashValue(entryPtr); + children[i]->refCount++; + i++; } for (i = 0 ; i < length ; i++) { - Tcl_DeleteNamespace(nss[i]); + Tcl_DeleteNamespace((Tcl_Namespace *) children[i]); + TclNsDecrRefCount(children[i]); } - TclStackFree((Tcl_Interp *) iPtr, nss); + TclStackFree((Tcl_Interp *) iPtr, children); } } #endif diff --git a/tests/namespace.test b/tests/namespace.test index 1b31fc5..cb9bc8c 100644 --- a/tests/namespace.test +++ b/tests/namespace.test @@ -2972,6 +2972,26 @@ test namespace-56.2 {bug f97d4ee020: mutually-entangled deletion} { } namespace delete ::testing } {} +test namespace-56.3 {bug f97d4ee020: mutually-entangled deletion} { + namespace eval ::testing { + variable gone {} + oo::class create CB { + variable cmd + constructor other {set cmd $other} + destructor {rename $cmd {}; lappend ::testing::gone $cmd} + } + namespace eval abc { + ::testing::CB create def ::testing::abc::ghi + ::testing::CB create ghi ::testing::abc::def + } + namespace delete abc + try { + return [lsort $gone] + } finally { + namespace delete ::testing + } + } +} {::testing::abc::def ::testing::abc::ghi} # cleanup catch {rename cmd1 {}} -- cgit v0.12 From 6f3bd38c61b5deddb1bcd376c798ca8aa12351a7 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 24 May 2016 19:28:50 +0000 Subject: Appears that the TclInitRewriteEnsemble() routine was created with an intent to refactor, but never actually got used. Work on continuing that effort. --- generic/tclBasic.c | 6 ++---- generic/tclEnsemble.c | 19 ++++++++++++++++++- generic/tclExecute.c | 8 +++++--- generic/tclNamesp.c | 1 + generic/tclOOMethod.c | 1 + generic/tclProc.c | 2 ++ 6 files changed, 29 insertions(+), 8 deletions(-) diff --git a/generic/tclBasic.c b/generic/tclBasic.c index e5d7406..b0c31cc 100644 --- a/generic/tclBasic.c +++ b/generic/tclBasic.c @@ -723,9 +723,7 @@ Tcl_CreateInterp(void) * Initialize the ensemble error message rewriting support. */ - iPtr->ensembleRewrite.sourceObjs = NULL; - iPtr->ensembleRewrite.numRemovedObjs = 0; - iPtr->ensembleRewrite.numInsertedObjs = 0; + TclResetRewriteEnsemble(interp, 1); /* * TIP#143: Initialise the resource limit support. @@ -4220,7 +4218,7 @@ EvalObjvCore( * TCL_EVAL_INVOKE was not set: clear rewrite rules */ - iPtr->ensembleRewrite.sourceObjs = NULL; + TclResetRewriteEnsemble(interp, 1); if (flags & TCL_EVAL_GLOBAL) { TEOV_SwitchVarFrame(interp); diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index 986a553..f108030 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -1876,6 +1876,15 @@ NsEnsembleImplementationCmdNR( * count both as inserted and removed arguments. */ +#if 1 + if (TclInitRewriteEnsemble(interp, 2 + ensemblePtr->numParameters, + prefixObjc + ensemblePtr->numParameters, objv)) { + TclNRAddCallback(interp, TclClearRootEnsemble, NULL, NULL, NULL, + NULL); + } + +#else + if (iPtr->ensembleRewrite.sourceObjs == NULL) { iPtr->ensembleRewrite.sourceObjs = objv; iPtr->ensembleRewrite.numRemovedObjs = @@ -1890,6 +1899,7 @@ NsEnsembleImplementationCmdNR( /* Position in objv of new front of insertion * relative to old one. */ if (ni > 0) { +//fprintf(stdout, "COVER\n"); fflush(stdout); iPtr->ensembleRewrite.numRemovedObjs += ni; iPtr->ensembleRewrite.numInsertedObjs += prefixObjc-1; } else { @@ -1897,6 +1907,8 @@ NsEnsembleImplementationCmdNR( } } +#endif + /* * Hand off to the target command. */ @@ -2005,15 +2017,20 @@ TclInitRewriteEnsemble( int isRootEnsemble = (iPtr->ensembleRewrite.sourceObjs == NULL); if (isRootEnsemble) { +//fprintf(stdout, "SET-SOURCE: '%s'\n", Tcl_GetString(objv[0])); fflush(stdout); iPtr->ensembleRewrite.sourceObjs = objv; iPtr->ensembleRewrite.numRemovedObjs = numRemoved; iPtr->ensembleRewrite.numInsertedObjs = numInserted; } else { int numIns = iPtr->ensembleRewrite.numInsertedObjs; +//fprintf(stdout, "Pre-SOURCE: '%s'\n", +//Tcl_GetString(iPtr->ensembleRewrite.sourceObjs[0])); fflush(stdout); + if (numIns < numRemoved) { +//fprintf(stdout, "COVER2\n"); fflush(stdout); iPtr->ensembleRewrite.numRemovedObjs += numRemoved - numIns; - iPtr->ensembleRewrite.numInsertedObjs += numInserted - 1; + iPtr->ensembleRewrite.numInsertedObjs = numInserted; } else { iPtr->ensembleRewrite.numInsertedObjs += numInserted - numRemoved; } diff --git a/generic/tclExecute.c b/generic/tclExecute.c index d4077f5..80598c1 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -3172,9 +3172,11 @@ TEBCresume( if (iPtr->flags & INTERP_DEBUG_FRAME) { ArgumentBCEnter(interp, codePtr, TD, pc, objc, objv); } - iPtr->ensembleRewrite.sourceObjs = objv; - iPtr->ensembleRewrite.numRemovedObjs = opnd; - iPtr->ensembleRewrite.numInsertedObjs = 1; + + if (!TclInitRewriteEnsemble(interp, opnd, 1, objv)) { +//fprintf(stdout, "INVOKE: '%s'\n", Tcl_GetString(objPtr)); fflush(stdout); + Tcl_Panic("INST_INVOKE_REPLACE is not ensemble root"); + } DECACHE_STACK_INFO(); pc += 6; TEBC_YIELD(); diff --git a/generic/tclNamesp.c b/generic/tclNamesp.c index 58a86d9..bad408e 100644 --- a/generic/tclNamesp.c +++ b/generic/tclNamesp.c @@ -3362,6 +3362,7 @@ NRNamespaceEvalCmd( - iPtr->ensembleRewrite.numInsertedObjs; framePtr->objv = iPtr->ensembleRewrite.sourceObjs; } + TclResetRewriteEnsemble(interp, 1); if (objc == 3) { /* diff --git a/generic/tclOOMethod.c b/generic/tclOOMethod.c index 34fa108..b86a203 100644 --- a/generic/tclOOMethod.c +++ b/generic/tclOOMethod.c @@ -732,6 +732,7 @@ InvokeProcedureMethod( * Now invoke the body of the method. */ +//fprintf(stdout, "eh? %p\n", ((Interp *)interp)->ensembleRewrite.sourceObjs); fflush(stdout); TclNRAddCallback(interp, FinalizePMCall, pmPtr, context, fdPtr, NULL); return TclNRInterpProcCore(interp, fdPtr->nameObj, Tcl_ObjectContextSkippedArgs(context), fdPtr->errProc); diff --git a/generic/tclProc.c b/generic/tclProc.c index 172b860..1a3bdb7 100644 --- a/generic/tclProc.c +++ b/generic/tclProc.c @@ -1786,6 +1786,8 @@ TclNRInterpProcCore( * Invoke the commands in the procedure's body. */ + TclResetRewriteEnsemble(interp, 1); + procPtr->refCount++; codePtr = procPtr->bodyPtr->internalRep.twoPtrValue.ptr1; -- cgit v0.12 From c0771697239c868133d1f53442b91259ab58cf25 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 24 May 2016 19:29:58 +0000 Subject: The handling of ensemble rewriting here is not right, but I've not yet found the test case to demonstrate it. Checking in debugging code to spread to other dev platforms. --- generic/tclEnsemble.c | 7 +++++++ 1 file changed, 7 insertions(+) diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index 986a553..c947459 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -12,6 +12,7 @@ #include "tclInt.h" #include "tclCompile.h" +#include "assert.h" /* * Declarations for functions local to this file: @@ -1891,6 +1892,12 @@ NsEnsembleImplementationCmdNR( * relative to old one. */ if (ni > 0) { iPtr->ensembleRewrite.numRemovedObjs += ni; +fprintf(stdout, "%d == %d\n", +iPtr->ensembleRewrite.numInsertedObjs - 1, +ensemblePtr->numParameters); +fflush(stdout); +assert(iPtr->ensembleRewrite.numInsertedObjs - 1 == ensemblePtr->numParameters); + iPtr->ensembleRewrite.numInsertedObjs += prefixObjc-1; } else { iPtr->ensembleRewrite.numInsertedObjs += prefixObjc-2; -- cgit v0.12 From 76b6abb07e94280e27b013d5c2610b67776aa6a1 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 24 May 2016 20:16:10 +0000 Subject: New test namespace-53.11 demonstrates the bug. --- generic/tclEnsemble.c | 8 +------- tests/namespace.test | 16 ++++++++++++++++ 2 files changed, 17 insertions(+), 7 deletions(-) diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index c947459..c85828b 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -12,7 +12,6 @@ #include "tclInt.h" #include "tclCompile.h" -#include "assert.h" /* * Declarations for functions local to this file: @@ -1892,13 +1891,8 @@ NsEnsembleImplementationCmdNR( * relative to old one. */ if (ni > 0) { iPtr->ensembleRewrite.numRemovedObjs += ni; -fprintf(stdout, "%d == %d\n", -iPtr->ensembleRewrite.numInsertedObjs - 1, -ensemblePtr->numParameters); -fflush(stdout); -assert(iPtr->ensembleRewrite.numInsertedObjs - 1 == ensemblePtr->numParameters); - iPtr->ensembleRewrite.numInsertedObjs += prefixObjc-1; +// iPtr->ensembleRewrite.numInsertedObjs = prefixObjc + ensemblePtr->numParameters; } else { iPtr->ensembleRewrite.numInsertedObjs += prefixObjc-2; } diff --git a/tests/namespace.test b/tests/namespace.test index cb9bc8c..2ba695a 100644 --- a/tests/namespace.test +++ b/tests/namespace.test @@ -2928,6 +2928,22 @@ test namespace-53.10 {ensembles: nested rewrite} -setup { 0 {1 v}\ 1 {wrong # args: should be "ns v x z2 a2"}\ 0 {2 v v2}} +test namespace-53.11 {ensembles: nested rewrite} -setup { + namespace eval ns { + namespace export x + namespace eval x { + proc z2 {a1 a2} {list 2 $a1 $a2} + namespace export z* + namespace ensemble create -parameter p + } + namespace ensemble create + } +} -body { + list [catch {ns x 1 z2} msg] $msg +} -cleanup { + namespace delete ns + unset -nocomplain msg +} -result {1 {wrong # args: should be "ns x 1 z2 a2"}} test namespace-54.1 {leak on namespace deletion} -constraints {memory} \ -setup { -- cgit v0.12 From 0a2318649c91cff9d31bef133fb6a96ad9786bed Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 24 May 2016 20:23:15 +0000 Subject: Now fix the bug. --- generic/tclEnsemble.c | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index c85828b..7ef8042 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -1891,8 +1891,8 @@ NsEnsembleImplementationCmdNR( * relative to old one. */ if (ni > 0) { iPtr->ensembleRewrite.numRemovedObjs += ni; - iPtr->ensembleRewrite.numInsertedObjs += prefixObjc-1; -// iPtr->ensembleRewrite.numInsertedObjs = prefixObjc + ensemblePtr->numParameters; + iPtr->ensembleRewrite.numInsertedObjs + = prefixObjc + ensemblePtr->numParameters; } else { iPtr->ensembleRewrite.numInsertedObjs += prefixObjc-2; } -- cgit v0.12 From 13a6722593334f23786c8c20f446a8027a8ebe6c Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 24 May 2016 20:39:25 +0000 Subject: Adapt and tidy up the bug fix. --- generic/tclEnsemble.c | 34 ---------------------------------- 1 file changed, 34 deletions(-) diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index e37ad1a..1c91734 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -1832,7 +1832,6 @@ NsEnsembleImplementationCmdNR( Tcl_Obj *copyPtr; /* The actual list of words to dispatch to. * Will be freed by the dispatch engine. */ int prefixObjc, copyObjc; - Interp *iPtr = (Interp *) interp; /* * Get the prefix that we're rewriting to. To do this we need to @@ -1876,40 +1875,12 @@ NsEnsembleImplementationCmdNR( * count both as inserted and removed arguments. */ -#if 1 if (TclInitRewriteEnsemble(interp, 2 + ensemblePtr->numParameters, prefixObjc + ensemblePtr->numParameters, objv)) { TclNRAddCallback(interp, TclClearRootEnsemble, NULL, NULL, NULL, NULL); } -#else - - if (iPtr->ensembleRewrite.sourceObjs == NULL) { - iPtr->ensembleRewrite.sourceObjs = objv; - iPtr->ensembleRewrite.numRemovedObjs = - 2 + ensemblePtr->numParameters; - iPtr->ensembleRewrite.numInsertedObjs = - prefixObjc + ensemblePtr->numParameters; - TclNRAddCallback(interp, TclClearRootEnsemble, NULL, NULL, NULL, - NULL); - } else { - register int ni = 2 + ensemblePtr->numParameters - - iPtr->ensembleRewrite.numInsertedObjs; - /* Position in objv of new front of insertion - * relative to old one. */ - if (ni > 0) { -//fprintf(stdout, "COVER\n"); fflush(stdout); - iPtr->ensembleRewrite.numRemovedObjs += ni; - iPtr->ensembleRewrite.numInsertedObjs - = prefixObjc + ensemblePtr->numParameters; - } else { - iPtr->ensembleRewrite.numInsertedObjs += prefixObjc-2; - } - } - -#endif - /* * Hand off to the target command. */ @@ -2018,18 +1989,13 @@ TclInitRewriteEnsemble( int isRootEnsemble = (iPtr->ensembleRewrite.sourceObjs == NULL); if (isRootEnsemble) { -//fprintf(stdout, "SET-SOURCE: '%s'\n", Tcl_GetString(objv[0])); fflush(stdout); iPtr->ensembleRewrite.sourceObjs = objv; iPtr->ensembleRewrite.numRemovedObjs = numRemoved; iPtr->ensembleRewrite.numInsertedObjs = numInserted; } else { int numIns = iPtr->ensembleRewrite.numInsertedObjs; -//fprintf(stdout, "Pre-SOURCE: '%s'\n", -//Tcl_GetString(iPtr->ensembleRewrite.sourceObjs[0])); fflush(stdout); - if (numIns < numRemoved) { -//fprintf(stdout, "COVER2\n"); fflush(stdout); iPtr->ensembleRewrite.numRemovedObjs += numRemoved - numIns; iPtr->ensembleRewrite.numInsertedObjs = numInserted; } else { -- cgit v0.12 From ec75618b67ba6350be88fd617aac6122cecc5250 Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 25 May 2016 17:27:49 +0000 Subject: Refactor all iPtr->ensembleRewrite setting code into TclInitRewriteEnsemble() calls. This likely fixes many weird corner case bugs, and definitly makes future development and maintenance easier. --- generic/tclInterp.c | 32 ++++---------------------------- generic/tclOODefineCmds.c | 42 +++--------------------------------------- generic/tclOOMethod.c | 23 +++-------------------- generic/tclProc.c | 17 +++-------------- 4 files changed, 13 insertions(+), 101 deletions(-) diff --git a/generic/tclInterp.c b/generic/tclInterp.c index cd0dc18..66ce1e0 100644 --- a/generic/tclInterp.c +++ b/generic/tclInterp.c @@ -1795,11 +1795,9 @@ AliasNRCmd( int objc, /* Number of arguments. */ Tcl_Obj *const objv[]) /* Argument vector. */ { - Interp *iPtr = (Interp *) interp; Alias *aliasPtr = clientData; int prefc, cmdc, i; Tcl_Obj **prefv, **cmdv; - int isRootEnsemble = (iPtr->ensembleRewrite.sourceObjs == NULL); Tcl_Obj *listPtr; List *listRep; int flags = TCL_EVAL_INVOKE; @@ -1831,21 +1829,7 @@ AliasNRCmd( * only the source command should show, not the full target prefix. */ - if (isRootEnsemble) { - iPtr->ensembleRewrite.sourceObjs = objv; - iPtr->ensembleRewrite.numRemovedObjs = 1; - iPtr->ensembleRewrite.numInsertedObjs = prefc; - } else { - iPtr->ensembleRewrite.numInsertedObjs += prefc - 1; - } - - /* - * We are sending a 0-refCount obj, do not need a callback: it will be - * cleaned up automatically. But we may need to clear the rootEnsemble - * stuff ... - */ - - if (isRootEnsemble) { + if (TclInitRewriteEnsemble(interp, 1, prefc, objv)) { TclNRAddCallback(interp, TclClearRootEnsemble, NULL, NULL, NULL, NULL); } TclSkipTailcall(interp); @@ -1866,7 +1850,7 @@ AliasObjCmd( Tcl_Obj **prefv, **cmdv; Tcl_Obj *cmdArr[ALIAS_CMDV_PREALLOC]; Interp *tPtr = (Interp *) targetInterp; - int isRootEnsemble = (tPtr->ensembleRewrite.sourceObjs == NULL); + int isRootEnsemble; /* * Append the arguments to the command prefix and invoke the command in @@ -1896,13 +1880,7 @@ AliasObjCmd( * only the source command should show, not the full target prefix. */ - if (isRootEnsemble) { - tPtr->ensembleRewrite.sourceObjs = objv; - tPtr->ensembleRewrite.numRemovedObjs = 1; - tPtr->ensembleRewrite.numInsertedObjs = prefc; - } else { - tPtr->ensembleRewrite.numInsertedObjs += prefc - 1; - } + isRootEnsemble = TclInitRewriteEnsemble((Tcl_Interp *)tPtr, 1, prefc, objv); /* * Protect the target interpreter if it isn't the same as the source @@ -1925,9 +1903,7 @@ AliasObjCmd( */ if (isRootEnsemble) { - tPtr->ensembleRewrite.sourceObjs = NULL; - tPtr->ensembleRewrite.numRemovedObjs = 0; - tPtr->ensembleRewrite.numInsertedObjs = 0; + TclResetRewriteEnsemble((Tcl_Interp *)tPtr, 1); } /* diff --git a/generic/tclOODefineCmds.c b/generic/tclOODefineCmds.c index c880754..64209a0 100644 --- a/generic/tclOODefineCmds.c +++ b/generic/tclOODefineCmds.c @@ -847,7 +847,6 @@ TclOODefineObjCmd( TclDecrRefCount(objNameObj); } else { Tcl_Obj *objPtr, *obj2Ptr, **objs; - Interp *iPtr = (Interp *) interp; Tcl_Command cmd; int dummy; @@ -861,18 +860,7 @@ TclOODefineObjCmd( * the moment. Ugly! */ - if (iPtr->ensembleRewrite.sourceObjs == NULL) { - iPtr->ensembleRewrite.sourceObjs = objv; - iPtr->ensembleRewrite.numRemovedObjs = 3; - iPtr->ensembleRewrite.numInsertedObjs = 1; - } else { - int ni = iPtr->ensembleRewrite.numInsertedObjs; - if (ni < 3) { - iPtr->ensembleRewrite.numRemovedObjs += 3 - ni; - } else { - iPtr->ensembleRewrite.numInsertedObjs -= 2; - } - } + TclInitRewriteEnsemble(interp, 3, 1, objv); /* * Build the list of arguments using a Tcl_Obj as a workspace. See @@ -962,7 +950,6 @@ TclOOObjDefObjCmd( TclDecrRefCount(objNameObj); } else { Tcl_Obj *objPtr, *obj2Ptr, **objs; - Interp *iPtr = (Interp *) interp; Tcl_Command cmd; int dummy; @@ -976,18 +963,7 @@ TclOOObjDefObjCmd( * the moment. Ugly! */ - if (iPtr->ensembleRewrite.sourceObjs == NULL) { - iPtr->ensembleRewrite.sourceObjs = objv; - iPtr->ensembleRewrite.numRemovedObjs = 3; - iPtr->ensembleRewrite.numInsertedObjs = 1; - } else { - int ni = iPtr->ensembleRewrite.numInsertedObjs; - if (ni < 3) { - iPtr->ensembleRewrite.numRemovedObjs += 3 - ni; - } else { - iPtr->ensembleRewrite.numInsertedObjs -= 2; - } - } + TclInitRewriteEnsemble(interp, 3, 1, objv); /* * Build the list of arguments using a Tcl_Obj as a workspace. See @@ -1077,7 +1053,6 @@ TclOODefineSelfObjCmd( TclDecrRefCount(objNameObj); } else { Tcl_Obj *objPtr, *obj2Ptr, **objs; - Interp *iPtr = (Interp *) interp; Tcl_Command cmd; int dummy; @@ -1091,18 +1066,7 @@ TclOODefineSelfObjCmd( * the moment. Ugly! */ - if (iPtr->ensembleRewrite.sourceObjs == NULL) { - iPtr->ensembleRewrite.sourceObjs = objv; - iPtr->ensembleRewrite.numRemovedObjs = 2; - iPtr->ensembleRewrite.numInsertedObjs = 1; - } else { - int ni = iPtr->ensembleRewrite.numInsertedObjs; - if (ni < 2) { - iPtr->ensembleRewrite.numRemovedObjs += 2 - ni; - } else { - iPtr->ensembleRewrite.numInsertedObjs -= 1; - } - } + TclInitRewriteEnsemble(interp, 2, 1, objv); /* * Build the list of arguments using a Tcl_Obj as a workspace. See diff --git a/generic/tclOOMethod.c b/generic/tclOOMethod.c index b86a203..843f833 100644 --- a/generic/tclOOMethod.c +++ b/generic/tclOOMethod.c @@ -732,7 +732,6 @@ InvokeProcedureMethod( * Now invoke the body of the method. */ -//fprintf(stdout, "eh? %p\n", ((Interp *)interp)->ensembleRewrite.sourceObjs); fflush(stdout); TclNRAddCallback(interp, FinalizePMCall, pmPtr, context, fdPtr, NULL); return TclNRInterpProcCore(interp, fdPtr->nameObj, Tcl_ObjectContextSkippedArgs(context), fdPtr->errProc); @@ -1595,12 +1594,9 @@ InitEnsembleRewrite( int *lengthPtr) /* Where to write the resulting length of the * array of rewritten arguments. */ { - Interp *iPtr = (Interp *) interp; - int isRootEnsemble = (iPtr->ensembleRewrite.sourceObjs == NULL); - Tcl_Obj **argObjs; unsigned len = rewriteLength + objc - toRewrite; + Tcl_Obj **argObjs = TclStackAlloc(interp, sizeof(Tcl_Obj *) * len); - argObjs = TclStackAlloc(interp, sizeof(Tcl_Obj *) * len); memcpy(argObjs, rewriteObjs, rewriteLength * sizeof(Tcl_Obj *)); memcpy(argObjs + rewriteLength, objv + toRewrite, sizeof(Tcl_Obj *) * (objc - toRewrite)); @@ -1614,22 +1610,9 @@ InitEnsembleRewrite( * (and unavoidably). */ - if (isRootEnsemble) { - iPtr->ensembleRewrite.sourceObjs = objv; - iPtr->ensembleRewrite.numRemovedObjs = toRewrite; - iPtr->ensembleRewrite.numInsertedObjs = rewriteLength; - } else { - int numIns = iPtr->ensembleRewrite.numInsertedObjs; - - if (numIns < toRewrite) { - iPtr->ensembleRewrite.numRemovedObjs += toRewrite - numIns; - iPtr->ensembleRewrite.numInsertedObjs += rewriteLength - 1; - } else { - iPtr->ensembleRewrite.numInsertedObjs += - rewriteLength - toRewrite; - } + if (TclInitRewriteEnsemble(interp, toRewrite, rewriteLength, objv)) { + TclNRAddCallback(interp, TclClearRootEnsemble, NULL, NULL, NULL, NULL); } - *lengthPtr = len; return argObjs; } diff --git a/generic/tclProc.c b/generic/tclProc.c index 1a3bdb7..56d29a2 100644 --- a/generic/tclProc.c +++ b/generic/tclProc.c @@ -22,7 +22,6 @@ */ typedef struct { - int isRootEnsemble; Command cmd; ExtraFrameInfo efi; } ApplyExtraData; @@ -2636,7 +2635,7 @@ TclNRApplyObjCmd( Interp *iPtr = (Interp *) interp; Proc *procPtr = NULL; Tcl_Obj *lambdaPtr, *nsObjPtr; - int result, isRootEnsemble; + int result; Tcl_Namespace *nsPtr; ApplyExtraData *extraPtr; @@ -2719,15 +2718,9 @@ TclNRApplyObjCmd( extraPtr->efi.fields[0].clientData = lambdaPtr; extraPtr->cmd.clientData = &extraPtr->efi; - isRootEnsemble = (iPtr->ensembleRewrite.sourceObjs == NULL); - if (isRootEnsemble) { - iPtr->ensembleRewrite.sourceObjs = objv; - iPtr->ensembleRewrite.numRemovedObjs = 1; - iPtr->ensembleRewrite.numInsertedObjs = 0; - } else { - iPtr->ensembleRewrite.numInsertedObjs -= 1; + if (TclInitRewriteEnsemble(interp, 1, 0, objv)) { + TclNRAddCallback(interp, TclClearRootEnsemble, NULL, NULL, NULL, NULL); } - extraPtr->isRootEnsemble = isRootEnsemble; result = TclPushProcCallFrame(procPtr, interp, objc, objv, 1); if (result == TCL_OK) { @@ -2745,10 +2738,6 @@ ApplyNR2( { ApplyExtraData *extraPtr = data[0]; - if (extraPtr->isRootEnsemble) { - ((Interp *) interp)->ensembleRewrite.sourceObjs = NULL; - } - TclStackFree(interp, extraPtr); return result; } -- cgit v0.12 From 7be6a12649deec9f9d70b5d1a53140b5e0be42e0 Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 25 May 2016 18:19:27 +0000 Subject: Put in some missing Resets. --- generic/tclExecute.c | 4 +++- generic/tclOODefineCmds.c | 22 ++++++++++++++++------ 2 files changed, 19 insertions(+), 7 deletions(-) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 80598c1..61d75cb 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -3174,7 +3174,9 @@ TEBCresume( } if (!TclInitRewriteEnsemble(interp, opnd, 1, objv)) { -//fprintf(stdout, "INVOKE: '%s'\n", Tcl_GetString(objPtr)); fflush(stdout); +fprintf(stdout, "SOURCE: '%s'\n", Tcl_GetString( + ((Interp *)interp)->ensembleRewrite.sourceObjs[0])); fflush(stdout); +fprintf(stdout, "INVOKE: '%s'\n", Tcl_GetString(objPtr)); fflush(stdout); Tcl_Panic("INST_INVOKE_REPLACE is not ensemble root"); } DECACHE_STACK_INFO(); diff --git a/generic/tclOODefineCmds.c b/generic/tclOODefineCmds.c index 64209a0..8747ff5 100644 --- a/generic/tclOODefineCmds.c +++ b/generic/tclOODefineCmds.c @@ -848,7 +848,7 @@ TclOODefineObjCmd( } else { Tcl_Obj *objPtr, *obj2Ptr, **objs; Tcl_Command cmd; - int dummy; + int isRoot, dummy; /* * More than one argument: fire them through the ensemble processing @@ -860,7 +860,7 @@ TclOODefineObjCmd( * the moment. Ugly! */ - TclInitRewriteEnsemble(interp, 3, 1, objv); + isRoot = TclInitRewriteEnsemble(interp, 3, 1, objv); /* * Build the list of arguments using a Tcl_Obj as a workspace. See @@ -882,6 +882,9 @@ TclOODefineObjCmd( Tcl_ListObjGetElements(NULL, objPtr, &dummy, &objs); result = Tcl_EvalObjv(interp, objc-2, objs, TCL_EVAL_INVOKE); + if (isRoot) { + TclResetRewriteEnsemble(interp, 1); + } Tcl_DecrRefCount(objPtr); } DelRef(oPtr); @@ -915,7 +918,7 @@ TclOOObjDefObjCmd( Tcl_Obj *const *objv) { Foundation *fPtr = TclOOGetFoundation(interp); - int result; + int isRoot, result; Object *oPtr; if (objc < 3) { @@ -963,7 +966,7 @@ TclOOObjDefObjCmd( * the moment. Ugly! */ - TclInitRewriteEnsemble(interp, 3, 1, objv); + isRoot = TclInitRewriteEnsemble(interp, 3, 1, objv); /* * Build the list of arguments using a Tcl_Obj as a workspace. See @@ -985,6 +988,10 @@ TclOOObjDefObjCmd( Tcl_ListObjGetElements(NULL, objPtr, &dummy, &objs); result = Tcl_EvalObjv(interp, objc-2, objs, TCL_EVAL_INVOKE); + + if (isRoot) { + TclResetRewriteEnsemble(interp, 1); + } Tcl_DecrRefCount(objPtr); } DelRef(oPtr); @@ -1054,7 +1061,7 @@ TclOODefineSelfObjCmd( } else { Tcl_Obj *objPtr, *obj2Ptr, **objs; Tcl_Command cmd; - int dummy; + int isRoot, dummy; /* * More than one argument: fire them through the ensemble processing @@ -1066,7 +1073,7 @@ TclOODefineSelfObjCmd( * the moment. Ugly! */ - TclInitRewriteEnsemble(interp, 2, 1, objv); + isRoot = TclInitRewriteEnsemble(interp, 2, 1, objv); /* * Build the list of arguments using a Tcl_Obj as a workspace. See @@ -1088,6 +1095,9 @@ TclOODefineSelfObjCmd( Tcl_ListObjGetElements(NULL, objPtr, &dummy, &objs); result = Tcl_EvalObjv(interp, objc-1, objs, TCL_EVAL_INVOKE); + if (isRoot) { + TclResetRewriteEnsemble(interp, 1); + } Tcl_DecrRefCount(objPtr); } DelRef(oPtr); -- cgit v0.12 From 7934310e9e0c4d8136a7eb664890ea86eeb6b322 Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 26 May 2016 00:00:37 +0000 Subject: Another missing reset --- generic/tclNamesp.c | 1 + 1 file changed, 1 insertion(+) diff --git a/generic/tclNamesp.c b/generic/tclNamesp.c index bad408e..543e089 100644 --- a/generic/tclNamesp.c +++ b/generic/tclNamesp.c @@ -3803,6 +3803,7 @@ NRNamespaceInscopeCmd( - iPtr->ensembleRewrite.numInsertedObjs; framePtr->objv = iPtr->ensembleRewrite.sourceObjs; } + TclResetRewriteEnsemble(interp, 1); /* * Execute the command. If there is just one argument, just treat it as a -- cgit v0.12 From cbcbd348f992ab2ae52e313fe1bb8cb51e69027d Mon Sep 17 00:00:00 2001 From: andy Date: Thu, 26 May 2016 02:19:14 +0000 Subject: Change "integer string" to "integer" in documentation for [tell]. It's not necessary to emphasize EIAS in every man page. The phrase "integer string" dates back to 1999 [ee1e5d143e], previous was "decimal string" which dates back to 1998, in fact the oldest version in Fossil [196f92fd17]. --- doc/tell.n | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/doc/tell.n b/doc/tell.n index 1da240d..a56e9e3 100644 --- a/doc/tell.n +++ b/doc/tell.n @@ -16,7 +16,7 @@ tell \- Return current access position for an open channel .BE .SH DESCRIPTION .PP -Returns an integer string giving the current access position in +Returns an integer giving the current access position in \fIchannelId\fR. This value returned is a byte offset that can be passed to \fBseek\fR in order to set the channel to a particular position. Note that this value is in terms of bytes, not characters like \fBread\fR. -- cgit v0.12 From fc6928c19cf817f90924816477e7646e3ab9ccb0 Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 26 May 2016 16:33:37 +0000 Subject: Reduce to minimum set of TclResetRewriteEnsemble() calls. --- generic/tclExecute.c | 2 ++ generic/tclNamesp.c | 2 -- generic/tclOOMethod.c | 5 +++++ generic/tclProc.c | 2 -- 4 files changed, 7 insertions(+), 4 deletions(-) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 61d75cb..67eabdb 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -2081,6 +2081,8 @@ TclNRExecuteByteCode( * Push the callback for bytecode execution */ + TclResetRewriteEnsemble(interp, 1); + TclNRAddCallback(interp, TEBCresume, TD, /* pc */ NULL, /* cleanup */ INT2PTR(0), NULL); return TCL_OK; diff --git a/generic/tclNamesp.c b/generic/tclNamesp.c index 543e089..58a86d9 100644 --- a/generic/tclNamesp.c +++ b/generic/tclNamesp.c @@ -3362,7 +3362,6 @@ NRNamespaceEvalCmd( - iPtr->ensembleRewrite.numInsertedObjs; framePtr->objv = iPtr->ensembleRewrite.sourceObjs; } - TclResetRewriteEnsemble(interp, 1); if (objc == 3) { /* @@ -3803,7 +3802,6 @@ NRNamespaceInscopeCmd( - iPtr->ensembleRewrite.numInsertedObjs; framePtr->objv = iPtr->ensembleRewrite.sourceObjs; } - TclResetRewriteEnsemble(interp, 1); /* * Execute the command. If there is just one argument, just treat it as a diff --git a/generic/tclOOMethod.c b/generic/tclOOMethod.c index 843f833..a311ddb 100644 --- a/generic/tclOOMethod.c +++ b/generic/tclOOMethod.c @@ -1458,6 +1458,11 @@ InvokeForwardMethod( argObjs = InitEnsembleRewrite(interp, objc, objv, skip, numPrefixes, prefixObjs, &len); Tcl_NRAddCallback(interp, FinalizeForwardCall, argObjs, NULL, NULL, NULL); + /* + * NOTE: The combination of direct set of iPtr->lookupNsPtr and the use + * of the TCL_EVAL_NOERR flag results in an evaluation configuration + * very much like TCL_EVAL_INVOKE. + */ ((Interp *)interp)->lookupNsPtr = (Namespace *) contextPtr->oPtr->namespacePtr; return TclNREvalObjv(interp, len, argObjs, TCL_EVAL_NOERR, NULL); diff --git a/generic/tclProc.c b/generic/tclProc.c index 56d29a2..70178f4 100644 --- a/generic/tclProc.c +++ b/generic/tclProc.c @@ -1785,8 +1785,6 @@ TclNRInterpProcCore( * Invoke the commands in the procedure's body. */ - TclResetRewriteEnsemble(interp, 1); - procPtr->refCount++; codePtr = procPtr->bodyPtr->internalRep.twoPtrValue.ptr1; -- cgit v0.12 From 05d072329e0a598e85eae4e081b6ea129a13c0d3 Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 26 May 2016 17:27:56 +0000 Subject: constructor invocation ensemble rewrite shenanigans also fit into the refactored routines. --- generic/tclOO.c | 16 ++++++++-------- 1 file changed, 8 insertions(+), 8 deletions(-) diff --git a/generic/tclOO.c b/generic/tclOO.c index 9df5029..0454bfe 100644 --- a/generic/tclOO.c +++ b/generic/tclOO.c @@ -1687,7 +1687,7 @@ Tcl_NewObjectInstance( TclOOGetCallContext(oPtr, NULL, CONSTRUCTOR, NULL); if (contextPtr != NULL) { - int result; + int isRoot, result; Tcl_InterpState state; state = Tcl_SaveInterpState(interp, TCL_OK); @@ -1698,13 +1698,14 @@ Tcl_NewObjectInstance( * Adjust the ensmble tracking record if necessary. [Bug 3514761] */ - if (((Interp*) interp)->ensembleRewrite.sourceObjs) { - ((Interp*) interp)->ensembleRewrite.numInsertedObjs += skip-1; - ((Interp*) interp)->ensembleRewrite.numRemovedObjs += skip-1; - } + isRoot = TclInitRewriteEnsemble(interp, skip, skip, objv); result = Tcl_NRCallObjProc(interp, TclOOInvokeContext, contextPtr, objc, objv); + if (isRoot) { + TclResetRewriteEnsemble(interp, 1); + } + /* * It's an error if the object was whacked in the constructor. * Force this if it isn't already an error (don't want to lose @@ -1827,9 +1828,8 @@ TclNRNewObjectInstance( * Adjust the ensmble tracking record if necessary. [Bug 3514761] */ - if (((Interp *) interp)->ensembleRewrite.sourceObjs) { - ((Interp *) interp)->ensembleRewrite.numInsertedObjs += skip - 1; - ((Interp *) interp)->ensembleRewrite.numRemovedObjs += skip - 1; + if (TclInitRewriteEnsemble(interp, skip, skip, objv)) { + TclNRAddCallback(interp, TclClearRootEnsemble, NULL, NULL, NULL, NULL); } /* -- cgit v0.12 From e7a661cb7c9005f267a6f4a6bd8e29dab1e91f61 Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 26 May 2016 17:29:34 +0000 Subject: excise debug scaffolding --- generic/tclExecute.c | 7 +------ 1 file changed, 1 insertion(+), 6 deletions(-) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 67eabdb..aed6a48 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -3175,12 +3175,7 @@ TEBCresume( ArgumentBCEnter(interp, codePtr, TD, pc, objc, objv); } - if (!TclInitRewriteEnsemble(interp, opnd, 1, objv)) { -fprintf(stdout, "SOURCE: '%s'\n", Tcl_GetString( - ((Interp *)interp)->ensembleRewrite.sourceObjs[0])); fflush(stdout); -fprintf(stdout, "INVOKE: '%s'\n", Tcl_GetString(objPtr)); fflush(stdout); - Tcl_Panic("INST_INVOKE_REPLACE is not ensemble root"); - } + TclInitRewriteEnsemble(interp, opnd, 1, objv); DECACHE_STACK_INFO(); pc += 6; TEBC_YIELD(); -- cgit v0.12 From 5fee89b1cba2dec073fe621b65f34c480fe15483 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 1 Jun 2016 11:56:37 +0000 Subject: Fix [3bd69eba99a395ee]: 'make dist' fails when tclsh9.0 is on $PATH --- tools/genStubs.tcl | 2 -- tools/man2html.tcl | 2 -- tools/man2html1.tcl | 2 -- tools/man2html2.tcl | 2 -- tools/tclZIC.tcl | 2 -- tools/tcltk-man2html.tcl | 2 -- 6 files changed, 12 deletions(-) diff --git a/tools/genStubs.tcl b/tools/genStubs.tcl index 37205b2..2eb6638 100644 --- a/tools/genStubs.tcl +++ b/tools/genStubs.tcl @@ -10,8 +10,6 @@ # See the file "license.terms" for information on usage and redistribution # of this file, and for a DISCLAIMER OF ALL WARRANTIES. -package require Tcl 8.4 - namespace eval genStubs { # libraryName -- # diff --git a/tools/man2html.tcl b/tools/man2html.tcl index fa57b03..444462b 100644 --- a/tools/man2html.tcl +++ b/tools/man2html.tcl @@ -2,8 +2,6 @@ # \ exec tclsh "$0" ${1+"$@"} -package require Tcl 8.4 - # man2html.tcl -- # # This file contains procedures that work in conjunction with the diff --git a/tools/man2html1.tcl b/tools/man2html1.tcl index f2b2e43..a668e1b 100644 --- a/tools/man2html1.tcl +++ b/tools/man2html1.tcl @@ -5,8 +5,6 @@ # # Copyright (c) 1996 by Sun Microsystems, Inc. -package require Tcl 8.4 - # Global variables used by these scripts: # # state - state variable that controls action of text proc. diff --git a/tools/man2html2.tcl b/tools/man2html2.tcl index 163196e..e4ccedf 100644 --- a/tools/man2html2.tcl +++ b/tools/man2html2.tcl @@ -6,8 +6,6 @@ # # Copyright (c) 1996 by Sun Microsystems, Inc. -package require Tcl 8.4 - # Global variables used by these scripts: # # NAME_file - array indexed by NAME and containing file names used for diff --git a/tools/tclZIC.tcl b/tools/tclZIC.tcl index 1b19d82..1fa34be 100755 --- a/tools/tclZIC.tcl +++ b/tools/tclZIC.tcl @@ -30,8 +30,6 @@ # of this file, and for a DISCLAIMER OF ALL WARRANTIES. #---------------------------------------------------------------------- -package require Tcl 8.5 - # Define the names of the Olson files that we need to load. # We avoid the solar time files and the leap seconds. diff --git a/tools/tcltk-man2html.tcl b/tools/tcltk-man2html.tcl index 59a2a63..9f95f7b 100755 --- a/tools/tcltk-man2html.tcl +++ b/tools/tcltk-man2html.tcl @@ -2,8 +2,6 @@ # The next line is executed by /bin/sh, but not tcl \ exec tclsh "$0" ${1+"$@"} -package require Tcl 8.5 - # Convert Ousterhout format man pages into highly crosslinked hypertext. # # Along the way detect many unmatched font changes and other odd things. -- cgit v0.12 From 03462e2c1dfc9da26f049ee17a3001df257442e4 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 2 Jun 2016 12:24:28 +0000 Subject: tcltest 2.3.9 -> 2.4.0 --- library/tcltest/pkgIndex.tcl | 2 +- library/tcltest/tcltest.tcl | 2 +- unix/Makefile.in | 4 ++-- win/Makefile.in | 4 ++-- 4 files changed, 6 insertions(+), 6 deletions(-) diff --git a/library/tcltest/pkgIndex.tcl b/library/tcltest/pkgIndex.tcl index 06097fd..5ac8823 100644 --- a/library/tcltest/pkgIndex.tcl +++ b/library/tcltest/pkgIndex.tcl @@ -9,4 +9,4 @@ # full path name of this file's directory. if {![package vsatisfies [package provide Tcl] 8.5]} {return} -package ifneeded tcltest 2.3.9 [list source [file join $dir tcltest.tcl]] +package ifneeded tcltest 2.4.0 [list source [file join $dir tcltest.tcl]] diff --git a/library/tcltest/tcltest.tcl b/library/tcltest/tcltest.tcl index 5dcfc61..9997187 100644 --- a/library/tcltest/tcltest.tcl +++ b/library/tcltest/tcltest.tcl @@ -22,7 +22,7 @@ namespace eval tcltest { # When the version number changes, be sure to update the pkgIndex.tcl file, # and the install directory in the Makefiles. When the minor version # changes (new feature) be sure to update the man page as well. - variable Version 2.3.9 + variable Version 2.4.0 # Compatibility support for dumb variables defined in tcltest 1 # Do not use these. Call [package provide Tcl] and [info patchlevel] diff --git a/unix/Makefile.in b/unix/Makefile.in index 2c96973..eb083e0 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -849,8 +849,8 @@ install-libraries: libraries done; @echo "Installing package msgcat 1.6.0 as a Tcl Module"; @$(INSTALL_DATA) $(TOP_DIR)/library/msgcat/msgcat.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.5/msgcat-1.6.0.tm; - @echo "Installing package tcltest 2.3.9 as a Tcl Module"; - @$(INSTALL_DATA) $(TOP_DIR)/library/tcltest/tcltest.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.5/tcltest-2.3.9.tm; + @echo "Installing package tcltest 2.4.0 as a Tcl Module"; + @$(INSTALL_DATA) $(TOP_DIR)/library/tcltest/tcltest.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.5/tcltest-2.4.0.tm; @echo "Installing package platform 1.0.14 as a Tcl Module"; @$(INSTALL_DATA) $(TOP_DIR)/library/platform/platform.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.4/platform-1.0.14.tm; diff --git a/win/Makefile.in b/win/Makefile.in index 9743511..28ffe0a 100644 --- a/win/Makefile.in +++ b/win/Makefile.in @@ -660,8 +660,8 @@ install-libraries: libraries install-tzdata install-msgs done; @echo "Installing package msgcat 1.6.0 as a Tcl Module"; @$(COPY) $(ROOT_DIR)/library/msgcat/msgcat.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.5/msgcat-1.6.0.tm; - @echo "Installing package tcltest 2.3.9 as a Tcl Module"; - @$(COPY) $(ROOT_DIR)/library/tcltest/tcltest.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.5/tcltest-2.3.9.tm; + @echo "Installing package tcltest 2.4.0 as a Tcl Module"; + @$(COPY) $(ROOT_DIR)/library/tcltest/tcltest.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.5/tcltest-2.4.0.tm; @echo "Installing package platform 1.0.14 as a Tcl Module"; @$(COPY) $(ROOT_DIR)/library/platform/platform.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.4/platform-1.0.14.tm; @echo "Installing package platform::shell 1.1.4 as a Tcl Module"; -- cgit v0.12 From 87d7d0f11c17176fdca0ff935983866a2f9ec3aa Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 2 Jun 2016 12:27:55 +0000 Subject: (cherry-pick) Merge TIP #447: Execution Time Verbosity Levels in tcltest::configure. Tcltest 2.3.8 -> 2.4.0. --- doc/tcltest.n | 14 ++++++++++++-- library/tcltest/pkgIndex.tcl | 2 +- library/tcltest/tcltest.tcl | 36 +++++++++++++++++++++++++++++++----- unix/Makefile.in | 4 ++-- win/Makefile.in | 4 ++-- 5 files changed, 48 insertions(+), 12 deletions(-) diff --git a/doc/tcltest.n b/doc/tcltest.n index cedc763..05c1922 100644 --- a/doc/tcltest.n +++ b/doc/tcltest.n @@ -872,8 +872,8 @@ harness are doing. . Sets the type of output verbosity desired to \fIlevel\fR, a list of zero or more of the elements \fBbody\fR, \fBpass\fR, -\fBskip\fR, \fBstart\fR, \fBerror\fR and \fBline\fR. Default value -is +\fBskip\fR, \fBstart\fR, \fBerror\fR, \fBline\fR, \fBmsec\fR and \fBusec\fR. +Default value is .QW "\fBbody error\fR" . Levels are defined as: .RS @@ -890,6 +890,16 @@ Print errorInfo and errorCode, if they exist, when a test return code does not match its expected return code .IP "line (\fBl\fR)" Print source file line information of failed tests +.IP "msec (\fBm\fR)" +Print each test's execution time in milliseconds +.IP "usec (\fBu\fR)" +Print each test's execution time in microseconds +.PP +Note that the \fBmsec\fR and \fBusec\fR verbosity levels are provided as +indicative measures only. They do not tackle the problem of repeatibility which +should be considered in performance tests or benchmarks. To use these verbosity +levels to thoroughly track performance degradations, consider wrapping your +test bodies with \fBtime\fR commands. .PP The single letter abbreviations noted above are also recognized so that diff --git a/library/tcltest/pkgIndex.tcl b/library/tcltest/pkgIndex.tcl index 987725f..5ac8823 100644 --- a/library/tcltest/pkgIndex.tcl +++ b/library/tcltest/pkgIndex.tcl @@ -9,4 +9,4 @@ # full path name of this file's directory. if {![package vsatisfies [package provide Tcl] 8.5]} {return} -package ifneeded tcltest 2.3.8 [list source [file join $dir tcltest.tcl]] +package ifneeded tcltest 2.4.0 [list source [file join $dir tcltest.tcl]] diff --git a/library/tcltest/tcltest.tcl b/library/tcltest/tcltest.tcl index 29ef778..169b7d4 100644 --- a/library/tcltest/tcltest.tcl +++ b/library/tcltest/tcltest.tcl @@ -22,7 +22,7 @@ namespace eval tcltest { # When the version number changes, be sure to update the pkgIndex.tcl file, # and the install directory in the Makefiles. When the minor version # changes (new feature) be sure to update the man page as well. - variable Version 2.3.8 + variable Version 2.4.0 # Compatibility support for dumb variables defined in tcltest 1 # Do not use these. Call [package provide Tcl] and [info patchlevel] @@ -611,16 +611,27 @@ namespace eval tcltest { proc AcceptVerbose { level } { set level [AcceptList $level] + set levelMap { + l list + p pass + b body + s skip + t start + e error + l line + m msec + u usec + } + set levelRegexp "^([join [dict values $levelMap] |])\$" if {[llength $level] == 1} { - if {![regexp {^(pass|body|skip|start|error|line)$} $level]} { + if {![regexp $levelRegexp $level]} { # translate single characters abbreviations to expanded list - set level [string map {p pass b body s skip t start e error l line} \ - [split $level {}]] + set level [string map $levelMap [split $level {}]] } } set valid [list] foreach v $level { - if {[regexp {^(pass|body|skip|start|error|line)$} $v]} { + if {[regexp $levelRegexp $v]} { lappend valid $v } } @@ -1972,6 +1983,11 @@ proc tcltest::test {name description args} { # Only run the test body if the setup was successful if {!$setupFailure} { + # Register startup time + if {[IsVerbose msec] || [IsVerbose usec]} { + set timeStart [clock microseconds] + } + # Verbose notification of $body start if {[IsVerbose start]} { puts [outputChannel] "---- $name start" @@ -2076,6 +2092,16 @@ proc tcltest::test {name description args} { } } + if {[IsVerbose msec] || [IsVerbose usec]} { + set t [expr {[clock microseconds] - $timeStart}] + if {[IsVerbose usec]} { + puts [outputChannel] "++++ $name took $t μs" + } + if {[IsVerbose msec]} { + puts [outputChannel] "++++ $name took [expr {round($t/1000.)}] ms" + } + } + # if we didn't experience any failures, then we passed variable numTests if {!($setupFailure || $cleanupFailure || $coreFailure diff --git a/unix/Makefile.in b/unix/Makefile.in index b336074..7b3d820 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -849,8 +849,8 @@ install-libraries: libraries done; @echo "Installing package msgcat 1.6.0 as a Tcl Module"; @$(INSTALL_DATA) $(TOP_DIR)/library/msgcat/msgcat.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.5/msgcat-1.6.0.tm; - @echo "Installing package tcltest 2.3.8 as a Tcl Module"; - @$(INSTALL_DATA) $(TOP_DIR)/library/tcltest/tcltest.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.5/tcltest-2.3.8.tm; + @echo "Installing package tcltest 2.4.0 as a Tcl Module"; + @$(INSTALL_DATA) $(TOP_DIR)/library/tcltest/tcltest.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.5/tcltest-2.4.0.tm; @echo "Installing package platform 1.0.14 as a Tcl Module"; @$(INSTALL_DATA) $(TOP_DIR)/library/platform/platform.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.4/platform-1.0.14.tm; diff --git a/win/Makefile.in b/win/Makefile.in index cf72e1c..28ffe0a 100644 --- a/win/Makefile.in +++ b/win/Makefile.in @@ -660,8 +660,8 @@ install-libraries: libraries install-tzdata install-msgs done; @echo "Installing package msgcat 1.6.0 as a Tcl Module"; @$(COPY) $(ROOT_DIR)/library/msgcat/msgcat.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.5/msgcat-1.6.0.tm; - @echo "Installing package tcltest 2.3.8 as a Tcl Module"; - @$(COPY) $(ROOT_DIR)/library/tcltest/tcltest.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.5/tcltest-2.3.8.tm; + @echo "Installing package tcltest 2.4.0 as a Tcl Module"; + @$(COPY) $(ROOT_DIR)/library/tcltest/tcltest.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.5/tcltest-2.4.0.tm; @echo "Installing package platform 1.0.14 as a Tcl Module"; @$(COPY) $(ROOT_DIR)/library/platform/platform.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.4/platform-1.0.14.tm; @echo "Installing package platform::shell 1.1.4 as a Tcl Module"; -- cgit v0.12 From db70eaab0c68492bd005fd53714af9996947cd9f Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 2 Jun 2016 14:54:38 +0000 Subject: Fix [e14c77b845]: Compilation error over typedef. --- generic/tclInt.h | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/generic/tclInt.h b/generic/tclInt.h index 42c13dd..fa91528 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -48,7 +48,9 @@ #else #include #endif -#ifdef STDC_HEADERS +#if defined(_WIN32) +#include +#elif defined(STDC_HEADERS) #include #else typedef int ptrdiff_t; -- cgit v0.12 From 8afdb9286632c44763fe2b168b72cc6606ac52d4 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 9 Jun 2016 11:38:54 +0000 Subject: Fix [e14c77b845] for MSVC6: Compilation error over typedef --- generic/tclDate.c | 8 +------- generic/tclInt.h | 5 ++--- 2 files changed, 3 insertions(+), 10 deletions(-) diff --git a/generic/tclDate.c b/generic/tclDate.c index 6222a8a..e4dd000 100644 --- a/generic/tclDate.c +++ b/generic/tclDate.c @@ -359,14 +359,8 @@ typedef short int yytype_int16; #ifndef YYSIZE_T # ifdef __SIZE_TYPE__ # define YYSIZE_T __SIZE_TYPE__ -# elif defined size_t -# define YYSIZE_T size_t -# elif ! defined YYSIZE_T && (defined __STDC__ || defined __C99__FUNC__ \ - || defined __cplusplus || defined _MSC_VER) -# include /* INFRINGES ON USER NAME SPACE */ -# define YYSIZE_T size_t # else -# define YYSIZE_T unsigned int +# define YYSIZE_T size_t # endif #endif diff --git a/generic/tclInt.h b/generic/tclInt.h index fa91528..7ea37bb 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -48,9 +48,8 @@ #else #include #endif -#if defined(_WIN32) -#include -#elif defined(STDC_HEADERS) +#if defined(STDC_HEADERS) || defined(__STDC__) || defined(__C99__FUNC__) \ + || defined(__cplusplus) || defined(_MSC_VER) #include #else typedef int ptrdiff_t; -- cgit v0.12 From b453d7479061b4f7fee8c55e790deab9f3e16de0 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 10 Jun 2016 13:43:13 +0000 Subject: Corrects reported bug, but makes many tests fail. Something subtle about what we should expect when recording the line of a command that isn't known until runtime. --- generic/tclCompile.c | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/generic/tclCompile.c b/generic/tclCompile.c index 5030f89..8cdd9d2 100644 --- a/generic/tclCompile.c +++ b/generic/tclCompile.c @@ -2602,8 +2602,12 @@ EnterCmdWordData( TclAdvanceLines (&wordLine, last, tokenPtr->start); TclAdvanceContinuations (&wordLine, &wordNext, tokenPtr->start - envPtr->source); +#if 0 wwlines[wordIdx] = (TclWordKnownAtCompileTime(tokenPtr, NULL) ? wordLine : -1); +#else + wwlines[wordIdx] = wordLine; +#endif ePtr->line[wordIdx] = wordLine; ePtr->next[wordIdx] = wordNext; last = tokenPtr->start; -- cgit v0.12 From e83f835a195b90a303657bda68904f37b14b50aa Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 14 Jun 2016 09:12:46 +0000 Subject: (cherry-pick): Fix [e14c77b845]: Compilation error over typedef. --- generic/tclDate.c | 8 +------- generic/tclInt.h | 3 ++- 2 files changed, 3 insertions(+), 8 deletions(-) diff --git a/generic/tclDate.c b/generic/tclDate.c index 0bda22f..1adcf1e 100644 --- a/generic/tclDate.c +++ b/generic/tclDate.c @@ -359,14 +359,8 @@ typedef short int yytype_int16; #ifndef YYSIZE_T # ifdef __SIZE_TYPE__ # define YYSIZE_T __SIZE_TYPE__ -# elif defined size_t -# define YYSIZE_T size_t -# elif ! defined YYSIZE_T && (defined __STDC__ || defined __C99__FUNC__ \ - || defined __cplusplus || defined _MSC_VER) -# include /* INFRINGES ON USER NAME SPACE */ -# define YYSIZE_T size_t # else -# define YYSIZE_T unsigned int +# define YYSIZE_T size_t # endif #endif diff --git a/generic/tclInt.h b/generic/tclInt.h index 18574c3..6113f23 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -48,7 +48,8 @@ #else #include #endif -#ifdef STDC_HEADERS +#if defined(STDC_HEADERS) || defined(__STDC__) || defined(__C99__FUNC__) \ + || defined(__cplusplus) || defined(_MSC_VER) #include #else typedef int ptrdiff_t; -- cgit v0.12 From acdd236f96616d9dd6707bc56fffacf95cb81b6a Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 14 Jun 2016 09:55:03 +0000 Subject: Fix [7393be0be6e7f91cbb2016fa777896e3895929e3|7393be0be6]: Tcl Thread library doesn't work in Debug build on Windows_x64 --- win/tclWinThrd.c | 11 ++++------- 1 file changed, 4 insertions(+), 7 deletions(-) diff --git a/win/tclWinThrd.c b/win/tclWinThrd.c index 2413a78..7828e65 100644 --- a/win/tclWinThrd.c +++ b/win/tclWinThrd.c @@ -167,7 +167,6 @@ TclWinThreadStart( * from TclpThreadCreate */ { WinThread *winThreadPtr = (WinThread *) lpParameter; - unsigned int fpmask; LPTHREAD_START_ROUTINE lpOrigStartAddress; LPVOID lpOrigParameter; @@ -175,13 +174,11 @@ TclWinThreadStart( return TCL_ERROR; } - fpmask = _MCW_EM | _MCW_RC | _MCW_PC; - -#if defined(_MSC_VER) && _MSC_VER >= 1200 - fpmask |= _MCW_DN; + _controlfp(winThreadPtr->fpControl, _MCW_EM | _MCW_RC | 0x03000000 /* _MCW_DN */ +#if !defined(_WIN64) + | _MCW_PC #endif - - _controlfp(winThreadPtr->fpControl, fpmask); + ); lpOrigStartAddress = winThreadPtr->lpStartAddress; lpOrigParameter = winThreadPtr->lpParameter; -- cgit v0.12 From c755ef08151343eb145710489f8c999edbef15ff Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 16 Jun 2016 14:23:15 +0000 Subject: [16828b3744] Prototype fix for merging forward. --- generic/tclEvent.c | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/generic/tclEvent.c b/generic/tclEvent.c index ba2bb64..4de8f0b 100644 --- a/generic/tclEvent.c +++ b/generic/tclEvent.c @@ -1451,6 +1451,11 @@ VwaitVarProc( int *donePtr = clientData; *donePtr = 1; + + Tcl_UntraceVar(interp, name1, + TCL_GLOBAL_ONLY|TCL_TRACE_WRITES|TCL_TRACE_UNSETS, + VwaitVarProc, clientData); + return NULL; } -- cgit v0.12 From 95fb48bf07be37ad0717475514d2c444602a0a6c Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 16 Jun 2016 16:14:28 +0000 Subject: Correct the patch. --- generic/tclEvent.c | 5 +---- 1 file changed, 1 insertion(+), 4 deletions(-) diff --git a/generic/tclEvent.c b/generic/tclEvent.c index 95fbf79..906ecbb 100644 --- a/generic/tclEvent.c +++ b/generic/tclEvent.c @@ -1457,11 +1457,8 @@ VwaitVarProc( int *donePtr = clientData; *donePtr = 1; - - Tcl_UntraceVar(interp, name1, - TCL_GLOBAL_ONLY|TCL_TRACE_WRITES|TCL_TRACE_UNSETS, + Tcl_UntraceVar(interp, name1, TCL_TRACE_WRITES|TCL_TRACE_UNSETS, VwaitVarProc, clientData); - return NULL; } -- cgit v0.12 From ac2ab0075f3bd2da55b9eb003f12455ca981df21 Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 16 Jun 2016 16:59:09 +0000 Subject: Improve fix and add test. --- generic/tclCompile.c | 7 ++----- tests/info.test | 17 +++++++++++++++++ 2 files changed, 19 insertions(+), 5 deletions(-) diff --git a/generic/tclCompile.c b/generic/tclCompile.c index 8cdd9d2..31e69ad 100644 --- a/generic/tclCompile.c +++ b/generic/tclCompile.c @@ -2602,12 +2602,9 @@ EnterCmdWordData( TclAdvanceLines (&wordLine, last, tokenPtr->start); TclAdvanceContinuations (&wordLine, &wordNext, tokenPtr->start - envPtr->source); -#if 0 wwlines[wordIdx] = - (TclWordKnownAtCompileTime(tokenPtr, NULL) ? wordLine : -1); -#else - wwlines[wordIdx] = wordLine; -#endif + ((wordIdx == 0) || TclWordKnownAtCompileTime(tokenPtr, NULL)) + ? wordLine : -1; ePtr->line[wordIdx] = wordLine; ePtr->next[wordIdx] = wordNext; last = tokenPtr->start; diff --git a/tests/info.test b/tests/info.test index 937da8c..d30bf9a 100644 --- a/tests/info.test +++ b/tests/info.test @@ -1818,6 +1818,23 @@ test info-38.2 {location information for uplevel, dl, direct-literal} -match glo * {type source line 1814 file info.test cmd etrace level 1} * {type source line 1812 file info.test cmd uplevel\\ \\\\ level 1}} -cleanup {interp delete sub} +test info-39.0 {Bug 4b61afd660} -setup { + proc probe {} { + return [dict get [info frame -1] line] + } + set body { + set cmd probe + $cmd + } + proc demo {} $body +} -body { + demo +} -cleanup { + unset -nocomplain body + rename demo {} + rename probe {} +} -result 3 + # cleanup catch {namespace delete test_ns_info1 test_ns_info2} ::tcltest::cleanupTests -- cgit v0.12 From 624ec168ecde5fbdbe83e4e7c558805b408fabcc Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 16 Jun 2016 17:06:25 +0000 Subject: [16828b3744] [vwait] *must* successfully undo its variable trace, or else it risks corrupting memory. Namespace teardown complexities were giving the traces an opportunity to survive. Added another (arguably better) Tcl_UntraceVar() call to be sure we avoid this problem. --- generic/tclEvent.c | 2 ++ tests/event.test | 9 +++++++++ 2 files changed, 11 insertions(+) diff --git a/generic/tclEvent.c b/generic/tclEvent.c index c664b38..4db524c 100644 --- a/generic/tclEvent.c +++ b/generic/tclEvent.c @@ -1379,6 +1379,8 @@ VwaitVarProc( int *donePtr = (int *) clientData; *donePtr = 1; + Tcl_UntraceVar(interp, name1, TCL_TRACE_WRITES|TCL_TRACE_UNSETS, + VwaitVarProc, clientData); return NULL; } diff --git a/tests/event.test b/tests/event.test index a7122f9..4996b97 100644 --- a/tests/event.test +++ b/tests/event.test @@ -559,6 +559,15 @@ test event-11.6 {Tcl_VwaitCmd procedure: round robin scheduling, same source} { removeFile $test2file list $x $y $z } {3 3 done} +test event-11.7 {Bug 16828b3744} { + after idle { + set ::t::v 1 + namespace delete ::t + } + namespace eval ::t { + vwait ::t::v + } +} {} test event-12.1 {Tcl_UpdateCmd procedure} { -- cgit v0.12 From b4bfd9a64a9a53cfbbd8a729a9a7ce7a0bcf95d0 Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 20 Jun 2016 19:23:17 +0000 Subject: [c383ebb5e4] Match DStringInit and DStringFree properly. --- generic/tclFileName.c | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/generic/tclFileName.c b/generic/tclFileName.c index 39bac99..bf463f5 100644 --- a/generic/tclFileName.c +++ b/generic/tclFileName.c @@ -1595,8 +1595,8 @@ Tcl_GlobObjCmd( } else if (dir == PATH_GENERAL) { Tcl_DString str; + Tcl_DStringInit(&str); for (i = 0; i < objc; i++) { - Tcl_DStringInit(&str); if (dir == PATH_GENERAL) { TclDStringAppendDString(&str, &prefix); } -- cgit v0.12 From 4ca2f26fbcf054a93c71bb226f374e1b7d4fa698 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 21 Jun 2016 09:57:14 +0000 Subject: Upgrade internal Unicode tables to Unicode 9.0 --- generic/regc_locale.c | 393 ++++++------ generic/tclUniData.c | 1615 +++++++++++++++++++++++++------------------------ 2 files changed, 1035 insertions(+), 973 deletions(-) diff --git a/generic/regc_locale.c b/generic/regc_locale.c index 2a4248e..6444b55 100644 --- a/generic/regc_locale.c +++ b/generic/regc_locale.c @@ -140,35 +140,36 @@ static const crange alphaRangeTable[] = { {0x3f7, 0x481}, {0x48a, 0x52f}, {0x531, 0x556}, {0x561, 0x587}, {0x5d0, 0x5ea}, {0x5f0, 0x5f2}, {0x620, 0x64a}, {0x671, 0x6d3}, {0x6fa, 0x6fc}, {0x712, 0x72f}, {0x74d, 0x7a5}, {0x7ca, 0x7ea}, - {0x800, 0x815}, {0x840, 0x858}, {0x8a0, 0x8b4}, {0x904, 0x939}, - {0x958, 0x961}, {0x971, 0x980}, {0x985, 0x98c}, {0x993, 0x9a8}, - {0x9aa, 0x9b0}, {0x9b6, 0x9b9}, {0x9df, 0x9e1}, {0xa05, 0xa0a}, - {0xa13, 0xa28}, {0xa2a, 0xa30}, {0xa59, 0xa5c}, {0xa72, 0xa74}, - {0xa85, 0xa8d}, {0xa8f, 0xa91}, {0xa93, 0xaa8}, {0xaaa, 0xab0}, - {0xab5, 0xab9}, {0xb05, 0xb0c}, {0xb13, 0xb28}, {0xb2a, 0xb30}, - {0xb35, 0xb39}, {0xb5f, 0xb61}, {0xb85, 0xb8a}, {0xb8e, 0xb90}, - {0xb92, 0xb95}, {0xba8, 0xbaa}, {0xbae, 0xbb9}, {0xc05, 0xc0c}, - {0xc0e, 0xc10}, {0xc12, 0xc28}, {0xc2a, 0xc39}, {0xc58, 0xc5a}, - {0xc85, 0xc8c}, {0xc8e, 0xc90}, {0xc92, 0xca8}, {0xcaa, 0xcb3}, - {0xcb5, 0xcb9}, {0xd05, 0xd0c}, {0xd0e, 0xd10}, {0xd12, 0xd3a}, - {0xd5f, 0xd61}, {0xd7a, 0xd7f}, {0xd85, 0xd96}, {0xd9a, 0xdb1}, - {0xdb3, 0xdbb}, {0xdc0, 0xdc6}, {0xe01, 0xe30}, {0xe40, 0xe46}, - {0xe94, 0xe97}, {0xe99, 0xe9f}, {0xea1, 0xea3}, {0xead, 0xeb0}, - {0xec0, 0xec4}, {0xedc, 0xedf}, {0xf40, 0xf47}, {0xf49, 0xf6c}, - {0xf88, 0xf8c}, {0x1000, 0x102a}, {0x1050, 0x1055}, {0x105a, 0x105d}, - {0x106e, 0x1070}, {0x1075, 0x1081}, {0x10a0, 0x10c5}, {0x10d0, 0x10fa}, - {0x10fc, 0x1248}, {0x124a, 0x124d}, {0x1250, 0x1256}, {0x125a, 0x125d}, - {0x1260, 0x1288}, {0x128a, 0x128d}, {0x1290, 0x12b0}, {0x12b2, 0x12b5}, - {0x12b8, 0x12be}, {0x12c2, 0x12c5}, {0x12c8, 0x12d6}, {0x12d8, 0x1310}, - {0x1312, 0x1315}, {0x1318, 0x135a}, {0x1380, 0x138f}, {0x13a0, 0x13f5}, - {0x13f8, 0x13fd}, {0x1401, 0x166c}, {0x166f, 0x167f}, {0x1681, 0x169a}, - {0x16a0, 0x16ea}, {0x16f1, 0x16f8}, {0x1700, 0x170c}, {0x170e, 0x1711}, - {0x1720, 0x1731}, {0x1740, 0x1751}, {0x1760, 0x176c}, {0x176e, 0x1770}, - {0x1780, 0x17b3}, {0x1820, 0x1877}, {0x1880, 0x18a8}, {0x18b0, 0x18f5}, - {0x1900, 0x191e}, {0x1950, 0x196d}, {0x1970, 0x1974}, {0x1980, 0x19ab}, - {0x19b0, 0x19c9}, {0x1a00, 0x1a16}, {0x1a20, 0x1a54}, {0x1b05, 0x1b33}, - {0x1b45, 0x1b4b}, {0x1b83, 0x1ba0}, {0x1bba, 0x1be5}, {0x1c00, 0x1c23}, - {0x1c4d, 0x1c4f}, {0x1c5a, 0x1c7d}, {0x1ce9, 0x1cec}, {0x1cee, 0x1cf1}, + {0x800, 0x815}, {0x840, 0x858}, {0x8a0, 0x8b4}, {0x8b6, 0x8bd}, + {0x904, 0x939}, {0x958, 0x961}, {0x971, 0x980}, {0x985, 0x98c}, + {0x993, 0x9a8}, {0x9aa, 0x9b0}, {0x9b6, 0x9b9}, {0x9df, 0x9e1}, + {0xa05, 0xa0a}, {0xa13, 0xa28}, {0xa2a, 0xa30}, {0xa59, 0xa5c}, + {0xa72, 0xa74}, {0xa85, 0xa8d}, {0xa8f, 0xa91}, {0xa93, 0xaa8}, + {0xaaa, 0xab0}, {0xab5, 0xab9}, {0xb05, 0xb0c}, {0xb13, 0xb28}, + {0xb2a, 0xb30}, {0xb35, 0xb39}, {0xb5f, 0xb61}, {0xb85, 0xb8a}, + {0xb8e, 0xb90}, {0xb92, 0xb95}, {0xba8, 0xbaa}, {0xbae, 0xbb9}, + {0xc05, 0xc0c}, {0xc0e, 0xc10}, {0xc12, 0xc28}, {0xc2a, 0xc39}, + {0xc58, 0xc5a}, {0xc85, 0xc8c}, {0xc8e, 0xc90}, {0xc92, 0xca8}, + {0xcaa, 0xcb3}, {0xcb5, 0xcb9}, {0xd05, 0xd0c}, {0xd0e, 0xd10}, + {0xd12, 0xd3a}, {0xd54, 0xd56}, {0xd5f, 0xd61}, {0xd7a, 0xd7f}, + {0xd85, 0xd96}, {0xd9a, 0xdb1}, {0xdb3, 0xdbb}, {0xdc0, 0xdc6}, + {0xe01, 0xe30}, {0xe40, 0xe46}, {0xe94, 0xe97}, {0xe99, 0xe9f}, + {0xea1, 0xea3}, {0xead, 0xeb0}, {0xec0, 0xec4}, {0xedc, 0xedf}, + {0xf40, 0xf47}, {0xf49, 0xf6c}, {0xf88, 0xf8c}, {0x1000, 0x102a}, + {0x1050, 0x1055}, {0x105a, 0x105d}, {0x106e, 0x1070}, {0x1075, 0x1081}, + {0x10a0, 0x10c5}, {0x10d0, 0x10fa}, {0x10fc, 0x1248}, {0x124a, 0x124d}, + {0x1250, 0x1256}, {0x125a, 0x125d}, {0x1260, 0x1288}, {0x128a, 0x128d}, + {0x1290, 0x12b0}, {0x12b2, 0x12b5}, {0x12b8, 0x12be}, {0x12c2, 0x12c5}, + {0x12c8, 0x12d6}, {0x12d8, 0x1310}, {0x1312, 0x1315}, {0x1318, 0x135a}, + {0x1380, 0x138f}, {0x13a0, 0x13f5}, {0x13f8, 0x13fd}, {0x1401, 0x166c}, + {0x166f, 0x167f}, {0x1681, 0x169a}, {0x16a0, 0x16ea}, {0x16f1, 0x16f8}, + {0x1700, 0x170c}, {0x170e, 0x1711}, {0x1720, 0x1731}, {0x1740, 0x1751}, + {0x1760, 0x176c}, {0x176e, 0x1770}, {0x1780, 0x17b3}, {0x1820, 0x1877}, + {0x1880, 0x1884}, {0x1887, 0x18a8}, {0x18b0, 0x18f5}, {0x1900, 0x191e}, + {0x1950, 0x196d}, {0x1970, 0x1974}, {0x1980, 0x19ab}, {0x19b0, 0x19c9}, + {0x1a00, 0x1a16}, {0x1a20, 0x1a54}, {0x1b05, 0x1b33}, {0x1b45, 0x1b4b}, + {0x1b83, 0x1ba0}, {0x1bba, 0x1be5}, {0x1c00, 0x1c23}, {0x1c4d, 0x1c4f}, + {0x1c5a, 0x1c7d}, {0x1c80, 0x1c88}, {0x1ce9, 0x1cec}, {0x1cee, 0x1cf1}, {0x1d00, 0x1dbf}, {0x1e00, 0x1f15}, {0x1f18, 0x1f1d}, {0x1f20, 0x1f45}, {0x1f48, 0x1f4d}, {0x1f50, 0x1f57}, {0x1f5f, 0x1f7d}, {0x1f80, 0x1fb4}, {0x1fb6, 0x1fbc}, {0x1fc2, 0x1fc4}, {0x1fc6, 0x1fcc}, {0x1fd0, 0x1fd3}, @@ -183,7 +184,7 @@ static const crange alphaRangeTable[] = { {0x3131, 0x318e}, {0x31a0, 0x31ba}, {0x31f0, 0x31ff}, {0x3400, 0x4db5}, {0x4e00, 0x9fd5}, {0xa000, 0xa48c}, {0xa4d0, 0xa4fd}, {0xa500, 0xa60c}, {0xa610, 0xa61f}, {0xa640, 0xa66e}, {0xa67f, 0xa69d}, {0xa6a0, 0xa6e5}, - {0xa717, 0xa71f}, {0xa722, 0xa788}, {0xa78b, 0xa7ad}, {0xa7b0, 0xa7b7}, + {0xa717, 0xa71f}, {0xa722, 0xa788}, {0xa78b, 0xa7ae}, {0xa7b0, 0xa7b7}, {0xa7f7, 0xa801}, {0xa803, 0xa805}, {0xa807, 0xa80a}, {0xa80c, 0xa822}, {0xa840, 0xa873}, {0xa882, 0xa8b3}, {0xa8f2, 0xa8f7}, {0xa90a, 0xa925}, {0xa930, 0xa946}, {0xa960, 0xa97c}, {0xa984, 0xa9b2}, {0xa9e0, 0xa9e4}, @@ -193,6 +194,8 @@ static const crange alphaRangeTable[] = { {0xab09, 0xab0e}, {0xab11, 0xab16}, {0xab20, 0xab26}, {0xab28, 0xab2e}, {0xab30, 0xab5a}, {0xab5c, 0xab65}, {0xab70, 0xabe2}, {0xac00, 0xd7a3}, {0xd7b0, 0xd7c6}, {0xd7cb, 0xd7fb}, {0xdc00, 0xdc3e}, {0xdc40, 0xdc7e}, + {0xdc80, 0xdcbe}, {0xdcc0, 0xdcfe}, {0xdd00, 0xdd3e}, {0xdd40, 0xdd7e}, + {0xdd80, 0xddbe}, {0xddc0, 0xddfe}, {0xde00, 0xde3e}, {0xde40, 0xde7e}, {0xde80, 0xdebe}, {0xdec0, 0xdefe}, {0xdf00, 0xdf3e}, {0xdf40, 0xdf7e}, {0xdf80, 0xdfbe}, {0xdfc0, 0xdffe}, {0xf900, 0xfa6d}, {0xfa70, 0xfad9}, {0xfb00, 0xfb06}, {0xfb13, 0xfb17}, {0xfb1f, 0xfb28}, {0xfb2a, 0xfb36}, @@ -205,36 +208,38 @@ static const crange alphaRangeTable[] = { {0x10050, 0x1005d}, {0x10080, 0x100fa}, {0x10280, 0x1029c}, {0x102a0, 0x102d0}, {0x10300, 0x1031f}, {0x10330, 0x10340}, {0x10342, 0x10349}, {0x10350, 0x10375}, {0x10380, 0x1039d}, {0x103a0, 0x103c3}, {0x103c8, 0x103cf}, {0x10400, 0x1049d}, - {0x10500, 0x10527}, {0x10530, 0x10563}, {0x10600, 0x10736}, {0x10740, 0x10755}, - {0x10760, 0x10767}, {0x10800, 0x10805}, {0x1080a, 0x10835}, {0x1083f, 0x10855}, - {0x10860, 0x10876}, {0x10880, 0x1089e}, {0x108e0, 0x108f2}, {0x10900, 0x10915}, - {0x10920, 0x10939}, {0x10980, 0x109b7}, {0x10a10, 0x10a13}, {0x10a15, 0x10a17}, - {0x10a19, 0x10a33}, {0x10a60, 0x10a7c}, {0x10a80, 0x10a9c}, {0x10ac0, 0x10ac7}, - {0x10ac9, 0x10ae4}, {0x10b00, 0x10b35}, {0x10b40, 0x10b55}, {0x10b60, 0x10b72}, - {0x10b80, 0x10b91}, {0x10c00, 0x10c48}, {0x10c80, 0x10cb2}, {0x10cc0, 0x10cf2}, - {0x11003, 0x11037}, {0x11083, 0x110af}, {0x110d0, 0x110e8}, {0x11103, 0x11126}, - {0x11150, 0x11172}, {0x11183, 0x111b2}, {0x111c1, 0x111c4}, {0x11200, 0x11211}, - {0x11213, 0x1122b}, {0x11280, 0x11286}, {0x1128a, 0x1128d}, {0x1128f, 0x1129d}, - {0x1129f, 0x112a8}, {0x112b0, 0x112de}, {0x11305, 0x1130c}, {0x11313, 0x11328}, - {0x1132a, 0x11330}, {0x11335, 0x11339}, {0x1135d, 0x11361}, {0x11480, 0x114af}, + {0x104b0, 0x104d3}, {0x104d8, 0x104fb}, {0x10500, 0x10527}, {0x10530, 0x10563}, + {0x10600, 0x10736}, {0x10740, 0x10755}, {0x10760, 0x10767}, {0x10800, 0x10805}, + {0x1080a, 0x10835}, {0x1083f, 0x10855}, {0x10860, 0x10876}, {0x10880, 0x1089e}, + {0x108e0, 0x108f2}, {0x10900, 0x10915}, {0x10920, 0x10939}, {0x10980, 0x109b7}, + {0x10a10, 0x10a13}, {0x10a15, 0x10a17}, {0x10a19, 0x10a33}, {0x10a60, 0x10a7c}, + {0x10a80, 0x10a9c}, {0x10ac0, 0x10ac7}, {0x10ac9, 0x10ae4}, {0x10b00, 0x10b35}, + {0x10b40, 0x10b55}, {0x10b60, 0x10b72}, {0x10b80, 0x10b91}, {0x10c00, 0x10c48}, + {0x10c80, 0x10cb2}, {0x10cc0, 0x10cf2}, {0x11003, 0x11037}, {0x11083, 0x110af}, + {0x110d0, 0x110e8}, {0x11103, 0x11126}, {0x11150, 0x11172}, {0x11183, 0x111b2}, + {0x111c1, 0x111c4}, {0x11200, 0x11211}, {0x11213, 0x1122b}, {0x11280, 0x11286}, + {0x1128a, 0x1128d}, {0x1128f, 0x1129d}, {0x1129f, 0x112a8}, {0x112b0, 0x112de}, + {0x11305, 0x1130c}, {0x11313, 0x11328}, {0x1132a, 0x11330}, {0x11335, 0x11339}, + {0x1135d, 0x11361}, {0x11400, 0x11434}, {0x11447, 0x1144a}, {0x11480, 0x114af}, {0x11580, 0x115ae}, {0x115d8, 0x115db}, {0x11600, 0x1162f}, {0x11680, 0x116aa}, - {0x11700, 0x11719}, {0x118a0, 0x118df}, {0x11ac0, 0x11af8}, {0x12000, 0x12399}, - {0x12480, 0x12543}, {0x13000, 0x1342e}, {0x14400, 0x14646}, {0x16800, 0x16a38}, - {0x16a40, 0x16a5e}, {0x16ad0, 0x16aed}, {0x16b00, 0x16b2f}, {0x16b40, 0x16b43}, - {0x16b63, 0x16b77}, {0x16b7d, 0x16b8f}, {0x16f00, 0x16f44}, {0x16f93, 0x16f9f}, - {0x1bc00, 0x1bc6a}, {0x1bc70, 0x1bc7c}, {0x1bc80, 0x1bc88}, {0x1bc90, 0x1bc99}, - {0x1d400, 0x1d454}, {0x1d456, 0x1d49c}, {0x1d4a9, 0x1d4ac}, {0x1d4ae, 0x1d4b9}, - {0x1d4bd, 0x1d4c3}, {0x1d4c5, 0x1d505}, {0x1d507, 0x1d50a}, {0x1d50d, 0x1d514}, - {0x1d516, 0x1d51c}, {0x1d51e, 0x1d539}, {0x1d53b, 0x1d53e}, {0x1d540, 0x1d544}, - {0x1d54a, 0x1d550}, {0x1d552, 0x1d6a5}, {0x1d6a8, 0x1d6c0}, {0x1d6c2, 0x1d6da}, - {0x1d6dc, 0x1d6fa}, {0x1d6fc, 0x1d714}, {0x1d716, 0x1d734}, {0x1d736, 0x1d74e}, - {0x1d750, 0x1d76e}, {0x1d770, 0x1d788}, {0x1d78a, 0x1d7a8}, {0x1d7aa, 0x1d7c2}, - {0x1d7c4, 0x1d7cb}, {0x1e800, 0x1e8c4}, {0x1ee00, 0x1ee03}, {0x1ee05, 0x1ee1f}, - {0x1ee29, 0x1ee32}, {0x1ee34, 0x1ee37}, {0x1ee4d, 0x1ee4f}, {0x1ee67, 0x1ee6a}, - {0x1ee6c, 0x1ee72}, {0x1ee74, 0x1ee77}, {0x1ee79, 0x1ee7c}, {0x1ee80, 0x1ee89}, - {0x1ee8b, 0x1ee9b}, {0x1eea1, 0x1eea3}, {0x1eea5, 0x1eea9}, {0x1eeab, 0x1eebb}, - {0x20000, 0x2a6d6}, {0x2a700, 0x2b734}, {0x2b740, 0x2b81d}, {0x2b820, 0x2cea1}, - {0x2f800, 0x2fa1d} + {0x11700, 0x11719}, {0x118a0, 0x118df}, {0x11ac0, 0x11af8}, {0x11c00, 0x11c08}, + {0x11c0a, 0x11c2e}, {0x11c72, 0x11c8f}, {0x12000, 0x12399}, {0x12480, 0x12543}, + {0x13000, 0x1342e}, {0x14400, 0x14646}, {0x16800, 0x16a38}, {0x16a40, 0x16a5e}, + {0x16ad0, 0x16aed}, {0x16b00, 0x16b2f}, {0x16b40, 0x16b43}, {0x16b63, 0x16b77}, + {0x16b7d, 0x16b8f}, {0x16f00, 0x16f44}, {0x16f93, 0x16f9f}, {0x17000, 0x187ec}, + {0x18800, 0x18af2}, {0x1bc00, 0x1bc6a}, {0x1bc70, 0x1bc7c}, {0x1bc80, 0x1bc88}, + {0x1bc90, 0x1bc99}, {0x1d400, 0x1d454}, {0x1d456, 0x1d49c}, {0x1d4a9, 0x1d4ac}, + {0x1d4ae, 0x1d4b9}, {0x1d4bd, 0x1d4c3}, {0x1d4c5, 0x1d505}, {0x1d507, 0x1d50a}, + {0x1d50d, 0x1d514}, {0x1d516, 0x1d51c}, {0x1d51e, 0x1d539}, {0x1d53b, 0x1d53e}, + {0x1d540, 0x1d544}, {0x1d54a, 0x1d550}, {0x1d552, 0x1d6a5}, {0x1d6a8, 0x1d6c0}, + {0x1d6c2, 0x1d6da}, {0x1d6dc, 0x1d6fa}, {0x1d6fc, 0x1d714}, {0x1d716, 0x1d734}, + {0x1d736, 0x1d74e}, {0x1d750, 0x1d76e}, {0x1d770, 0x1d788}, {0x1d78a, 0x1d7a8}, + {0x1d7aa, 0x1d7c2}, {0x1d7c4, 0x1d7cb}, {0x1e800, 0x1e8c4}, {0x1e900, 0x1e943}, + {0x1ee00, 0x1ee03}, {0x1ee05, 0x1ee1f}, {0x1ee29, 0x1ee32}, {0x1ee34, 0x1ee37}, + {0x1ee4d, 0x1ee4f}, {0x1ee67, 0x1ee6a}, {0x1ee6c, 0x1ee72}, {0x1ee74, 0x1ee77}, + {0x1ee79, 0x1ee7c}, {0x1ee80, 0x1ee89}, {0x1ee8b, 0x1ee9b}, {0x1eea1, 0x1eea3}, + {0x1eea5, 0x1eea9}, {0x1eeab, 0x1eebb}, {0x20000, 0x2a6d6}, {0x2a700, 0x2b734}, + {0x2b740, 0x2b81d}, {0x2b820, 0x2cea1}, {0x2f800, 0x2fa1d} #endif }; @@ -249,24 +254,24 @@ static const chr alphaCharTable[] = { 0xa39, 0xa5e, 0xab2, 0xab3, 0xabd, 0xad0, 0xae0, 0xae1, 0xaf9, 0xb0f, 0xb10, 0xb32, 0xb33, 0xb3d, 0xb5c, 0xb5d, 0xb71, 0xb83, 0xb99, 0xb9a, 0xb9c, 0xb9e, 0xb9f, 0xba3, 0xba4, 0xbd0, 0xc3d, - 0xc60, 0xc61, 0xcbd, 0xcde, 0xce0, 0xce1, 0xcf1, 0xcf2, 0xd3d, - 0xd4e, 0xdbd, 0xe32, 0xe33, 0xe81, 0xe82, 0xe84, 0xe87, 0xe88, - 0xe8a, 0xe8d, 0xea5, 0xea7, 0xeaa, 0xeab, 0xeb2, 0xeb3, 0xebd, - 0xec6, 0xf00, 0x103f, 0x1061, 0x1065, 0x1066, 0x108e, 0x10c7, 0x10cd, - 0x1258, 0x12c0, 0x17d7, 0x17dc, 0x18aa, 0x1aa7, 0x1bae, 0x1baf, 0x1cf5, - 0x1cf6, 0x1f59, 0x1f5b, 0x1f5d, 0x1fbe, 0x2071, 0x207f, 0x2102, 0x2107, - 0x2115, 0x2124, 0x2126, 0x2128, 0x214e, 0x2183, 0x2184, 0x2cf2, 0x2cf3, - 0x2d27, 0x2d2d, 0x2d6f, 0x2e2f, 0x3005, 0x3006, 0x303b, 0x303c, 0xa62a, - 0xa62b, 0xa8fb, 0xa8fd, 0xa9cf, 0xaa7a, 0xaab1, 0xaab5, 0xaab6, 0xaac0, - 0xaac2, 0xfb1d, 0xfb3e, 0xfb40, 0xfb41, 0xfb43, 0xfb44 + 0xc60, 0xc61, 0xc80, 0xcbd, 0xcde, 0xce0, 0xce1, 0xcf1, 0xcf2, + 0xd3d, 0xd4e, 0xdbd, 0xe32, 0xe33, 0xe81, 0xe82, 0xe84, 0xe87, + 0xe88, 0xe8a, 0xe8d, 0xea5, 0xea7, 0xeaa, 0xeab, 0xeb2, 0xeb3, + 0xebd, 0xec6, 0xf00, 0x103f, 0x1061, 0x1065, 0x1066, 0x108e, 0x10c7, + 0x10cd, 0x1258, 0x12c0, 0x17d7, 0x17dc, 0x18aa, 0x1aa7, 0x1bae, 0x1baf, + 0x1cf5, 0x1cf6, 0x1f59, 0x1f5b, 0x1f5d, 0x1fbe, 0x2071, 0x207f, 0x2102, + 0x2107, 0x2115, 0x2124, 0x2126, 0x2128, 0x214e, 0x2183, 0x2184, 0x2cf2, + 0x2cf3, 0x2d27, 0x2d2d, 0x2d6f, 0x2e2f, 0x3005, 0x3006, 0x303b, 0x303c, + 0xa62a, 0xa62b, 0xa8fb, 0xa8fd, 0xa9cf, 0xaa7a, 0xaab1, 0xaab5, 0xaab6, + 0xaac0, 0xaac2, 0xfb1d, 0xfb3e, 0xfb40, 0xfb41, 0xfb43, 0xfb44 #if TCL_UTF_MAX > 4 ,0x1003c, 0x1003d, 0x10808, 0x10837, 0x10838, 0x1083c, 0x108f4, 0x108f5, 0x109be, 0x109bf, 0x10a00, 0x11176, 0x111da, 0x111dc, 0x11288, 0x1130f, 0x11310, 0x11332, - 0x11333, 0x1133d, 0x11350, 0x114c4, 0x114c5, 0x114c7, 0x11644, 0x118ff, 0x16f50, - 0x1b000, 0x1b001, 0x1d49e, 0x1d49f, 0x1d4a2, 0x1d4a5, 0x1d4a6, 0x1d4bb, 0x1d546, - 0x1ee21, 0x1ee22, 0x1ee24, 0x1ee27, 0x1ee39, 0x1ee3b, 0x1ee42, 0x1ee47, 0x1ee49, - 0x1ee4b, 0x1ee51, 0x1ee52, 0x1ee54, 0x1ee57, 0x1ee59, 0x1ee5b, 0x1ee5d, 0x1ee5f, - 0x1ee61, 0x1ee62, 0x1ee64, 0x1ee7e + 0x11333, 0x1133d, 0x11350, 0x114c4, 0x114c5, 0x114c7, 0x11644, 0x118ff, 0x11c40, + 0x16f50, 0x16fe0, 0x1b000, 0x1b001, 0x1d49e, 0x1d49f, 0x1d4a2, 0x1d4a5, 0x1d4a6, + 0x1d4bb, 0x1d546, 0x1ee21, 0x1ee22, 0x1ee24, 0x1ee27, 0x1ee39, 0x1ee3b, 0x1ee42, + 0x1ee47, 0x1ee49, 0x1ee4b, 0x1ee51, 0x1ee52, 0x1ee54, 0x1ee57, 0x1ee59, 0x1ee5b, + 0x1ee5d, 0x1ee5f, 0x1ee61, 0x1ee62, 0x1ee64, 0x1ee7e #endif }; @@ -289,7 +294,7 @@ static const crange controlRangeTable[] = { #define NUM_CONTROL_RANGE (sizeof(controlRangeTable)/sizeof(crange)) static const chr controlCharTable[] = { - 0xad, 0x61c, 0x6dd, 0x70f, 0x180e, 0xfeff + 0xad, 0x61c, 0x6dd, 0x70f, 0x8e2, 0x180e, 0xfeff #if TCL_UTF_MAX > 4 ,0x110bd, 0xe0001 #endif @@ -314,9 +319,10 @@ static const crange digitRangeTable[] = { {0xff10, 0xff19} #if TCL_UTF_MAX > 4 ,{0x104a0, 0x104a9}, {0x11066, 0x1106f}, {0x110f0, 0x110f9}, {0x11136, 0x1113f}, - {0x111d0, 0x111d9}, {0x112f0, 0x112f9}, {0x114d0, 0x114d9}, {0x11650, 0x11659}, - {0x116c0, 0x116c9}, {0x11730, 0x11739}, {0x118e0, 0x118e9}, {0x16a60, 0x16a69}, - {0x16b50, 0x16b59}, {0x1d7ce, 0x1d7ff} + {0x111d0, 0x111d9}, {0x112f0, 0x112f9}, {0x11450, 0x11459}, {0x114d0, 0x114d9}, + {0x11650, 0x11659}, {0x116c0, 0x116c9}, {0x11730, 0x11739}, {0x118e0, 0x118e9}, + {0x11c50, 0x11c59}, {0x16a60, 0x16a69}, {0x16b50, 0x16b59}, {0x1d7ce, 0x1d7ff}, + {0x1e950, 0x1e959} #endif }; @@ -339,7 +345,7 @@ static const crange punctRangeTable[] = { {0x1b5a, 0x1b60}, {0x1bfc, 0x1bff}, {0x1c3b, 0x1c3f}, {0x1cc0, 0x1cc7}, {0x2010, 0x2027}, {0x2030, 0x2043}, {0x2045, 0x2051}, {0x2053, 0x205e}, {0x2308, 0x230b}, {0x2768, 0x2775}, {0x27e6, 0x27ef}, {0x2983, 0x2998}, - {0x29d8, 0x29db}, {0x2cf9, 0x2cfc}, {0x2e00, 0x2e2e}, {0x2e30, 0x2e42}, + {0x29d8, 0x29db}, {0x2cf9, 0x2cfc}, {0x2e00, 0x2e2e}, {0x2e30, 0x2e44}, {0x3001, 0x3003}, {0x3008, 0x3011}, {0x3014, 0x301f}, {0xa60d, 0xa60f}, {0xa6f2, 0xa6f7}, {0xa874, 0xa877}, {0xa8f8, 0xa8fa}, {0xa9c1, 0xa9cd}, {0xaa5c, 0xaa5f}, {0xfe10, 0xfe19}, {0xfe30, 0xfe52}, {0xfe54, 0xfe61}, @@ -348,9 +354,9 @@ static const crange punctRangeTable[] = { #if TCL_UTF_MAX > 4 ,{0x10100, 0x10102}, {0x10a50, 0x10a58}, {0x10af0, 0x10af6}, {0x10b39, 0x10b3f}, {0x10b99, 0x10b9c}, {0x11047, 0x1104d}, {0x110be, 0x110c1}, {0x11140, 0x11143}, - {0x111c5, 0x111c9}, {0x111dd, 0x111df}, {0x11238, 0x1123d}, {0x115c1, 0x115d7}, - {0x11641, 0x11643}, {0x1173c, 0x1173e}, {0x12470, 0x12474}, {0x16b37, 0x16b3b}, - {0x1da87, 0x1da8b} + {0x111c5, 0x111c9}, {0x111dd, 0x111df}, {0x11238, 0x1123d}, {0x1144b, 0x1144f}, + {0x115c1, 0x115d7}, {0x11641, 0x11643}, {0x11660, 0x1166c}, {0x1173c, 0x1173e}, + {0x11c41, 0x11c45}, {0x12470, 0x12474}, {0x16b37, 0x16b3b}, {0x1da87, 0x1da8b} #endif }; @@ -371,8 +377,8 @@ static const chr punctCharTable[] = { 0xfe6b, 0xff1a, 0xff1b, 0xff1f, 0xff20, 0xff3f, 0xff5b, 0xff5d #if TCL_UTF_MAX > 4 ,0x1039f, 0x103d0, 0x1056f, 0x10857, 0x1091f, 0x1093f, 0x10a7f, 0x110bb, 0x110bc, - 0x11174, 0x11175, 0x111cd, 0x111db, 0x112a9, 0x114c6, 0x16a6e, 0x16a6f, 0x16af5, - 0x16b44, 0x1bc9f + 0x11174, 0x11175, 0x111cd, 0x111db, 0x112a9, 0x1145b, 0x1145d, 0x114c6, 0x11c70, + 0x11c71, 0x16a6e, 0x16a6f, 0x16af5, 0x16b44, 0x1bc9f, 0x1e95e, 0x1e95f #endif }; @@ -404,24 +410,24 @@ static const crange lowerRangeTable[] = { {0x199, 0x19b}, {0x1bd, 0x1bf}, {0x233, 0x239}, {0x24f, 0x293}, {0x295, 0x2af}, {0x37b, 0x37d}, {0x3ac, 0x3ce}, {0x3d5, 0x3d7}, {0x3ef, 0x3f3}, {0x430, 0x45f}, {0x561, 0x587}, {0x13f8, 0x13fd}, - {0x1d00, 0x1d2b}, {0x1d6b, 0x1d77}, {0x1d79, 0x1d9a}, {0x1e95, 0x1e9d}, - {0x1eff, 0x1f07}, {0x1f10, 0x1f15}, {0x1f20, 0x1f27}, {0x1f30, 0x1f37}, - {0x1f40, 0x1f45}, {0x1f50, 0x1f57}, {0x1f60, 0x1f67}, {0x1f70, 0x1f7d}, - {0x1f80, 0x1f87}, {0x1f90, 0x1f97}, {0x1fa0, 0x1fa7}, {0x1fb0, 0x1fb4}, - {0x1fc2, 0x1fc4}, {0x1fd0, 0x1fd3}, {0x1fe0, 0x1fe7}, {0x1ff2, 0x1ff4}, - {0x2146, 0x2149}, {0x2c30, 0x2c5e}, {0x2c76, 0x2c7b}, {0x2d00, 0x2d25}, - {0xa72f, 0xa731}, {0xa771, 0xa778}, {0xa793, 0xa795}, {0xab30, 0xab5a}, - {0xab60, 0xab65}, {0xab70, 0xabbf}, {0xfb00, 0xfb06}, {0xfb13, 0xfb17}, - {0xff41, 0xff5a} + {0x1c80, 0x1c88}, {0x1d00, 0x1d2b}, {0x1d6b, 0x1d77}, {0x1d79, 0x1d9a}, + {0x1e95, 0x1e9d}, {0x1eff, 0x1f07}, {0x1f10, 0x1f15}, {0x1f20, 0x1f27}, + {0x1f30, 0x1f37}, {0x1f40, 0x1f45}, {0x1f50, 0x1f57}, {0x1f60, 0x1f67}, + {0x1f70, 0x1f7d}, {0x1f80, 0x1f87}, {0x1f90, 0x1f97}, {0x1fa0, 0x1fa7}, + {0x1fb0, 0x1fb4}, {0x1fc2, 0x1fc4}, {0x1fd0, 0x1fd3}, {0x1fe0, 0x1fe7}, + {0x1ff2, 0x1ff4}, {0x2146, 0x2149}, {0x2c30, 0x2c5e}, {0x2c76, 0x2c7b}, + {0x2d00, 0x2d25}, {0xa72f, 0xa731}, {0xa771, 0xa778}, {0xa793, 0xa795}, + {0xab30, 0xab5a}, {0xab60, 0xab65}, {0xab70, 0xabbf}, {0xfb00, 0xfb06}, + {0xfb13, 0xfb17}, {0xff41, 0xff5a} #if TCL_UTF_MAX > 4 - ,{0x10428, 0x1044f}, {0x10cc0, 0x10cf2}, {0x118c0, 0x118df}, {0x1d41a, 0x1d433}, - {0x1d44e, 0x1d454}, {0x1d456, 0x1d467}, {0x1d482, 0x1d49b}, {0x1d4b6, 0x1d4b9}, - {0x1d4bd, 0x1d4c3}, {0x1d4c5, 0x1d4cf}, {0x1d4ea, 0x1d503}, {0x1d51e, 0x1d537}, - {0x1d552, 0x1d56b}, {0x1d586, 0x1d59f}, {0x1d5ba, 0x1d5d3}, {0x1d5ee, 0x1d607}, - {0x1d622, 0x1d63b}, {0x1d656, 0x1d66f}, {0x1d68a, 0x1d6a5}, {0x1d6c2, 0x1d6da}, - {0x1d6dc, 0x1d6e1}, {0x1d6fc, 0x1d714}, {0x1d716, 0x1d71b}, {0x1d736, 0x1d74e}, - {0x1d750, 0x1d755}, {0x1d770, 0x1d788}, {0x1d78a, 0x1d78f}, {0x1d7aa, 0x1d7c2}, - {0x1d7c4, 0x1d7c9} + ,{0x10428, 0x1044f}, {0x104d8, 0x104fb}, {0x10cc0, 0x10cf2}, {0x118c0, 0x118df}, + {0x1d41a, 0x1d433}, {0x1d44e, 0x1d454}, {0x1d456, 0x1d467}, {0x1d482, 0x1d49b}, + {0x1d4b6, 0x1d4b9}, {0x1d4bd, 0x1d4c3}, {0x1d4c5, 0x1d4cf}, {0x1d4ea, 0x1d503}, + {0x1d51e, 0x1d537}, {0x1d552, 0x1d56b}, {0x1d586, 0x1d59f}, {0x1d5ba, 0x1d5d3}, + {0x1d5ee, 0x1d607}, {0x1d622, 0x1d63b}, {0x1d656, 0x1d66f}, {0x1d68a, 0x1d6a5}, + {0x1d6c2, 0x1d6da}, {0x1d6dc, 0x1d6e1}, {0x1d6fc, 0x1d714}, {0x1d716, 0x1d71b}, + {0x1d736, 0x1d74e}, {0x1d750, 0x1d755}, {0x1d770, 0x1d788}, {0x1d78a, 0x1d78f}, + {0x1d7aa, 0x1d7c2}, {0x1d7c4, 0x1d7c9}, {0x1e922, 0x1e943} #endif }; @@ -513,15 +519,15 @@ static const crange upperRangeTable[] = { {0x1fc8, 0x1fcb}, {0x1fd8, 0x1fdb}, {0x1fe8, 0x1fec}, {0x1ff8, 0x1ffb}, {0x210b, 0x210d}, {0x2110, 0x2112}, {0x2119, 0x211d}, {0x212a, 0x212d}, {0x2130, 0x2133}, {0x2c00, 0x2c2e}, {0x2c62, 0x2c64}, {0x2c6d, 0x2c70}, - {0x2c7e, 0x2c80}, {0xa7aa, 0xa7ad}, {0xa7b0, 0xa7b4}, {0xff21, 0xff3a} + {0x2c7e, 0x2c80}, {0xa7aa, 0xa7ae}, {0xa7b0, 0xa7b4}, {0xff21, 0xff3a} #if TCL_UTF_MAX > 4 - ,{0x10400, 0x10427}, {0x10c80, 0x10cb2}, {0x118a0, 0x118bf}, {0x1d400, 0x1d419}, - {0x1d434, 0x1d44d}, {0x1d468, 0x1d481}, {0x1d4a9, 0x1d4ac}, {0x1d4ae, 0x1d4b5}, - {0x1d4d0, 0x1d4e9}, {0x1d507, 0x1d50a}, {0x1d50d, 0x1d514}, {0x1d516, 0x1d51c}, - {0x1d53b, 0x1d53e}, {0x1d540, 0x1d544}, {0x1d54a, 0x1d550}, {0x1d56c, 0x1d585}, - {0x1d5a0, 0x1d5b9}, {0x1d5d4, 0x1d5ed}, {0x1d608, 0x1d621}, {0x1d63c, 0x1d655}, - {0x1d670, 0x1d689}, {0x1d6a8, 0x1d6c0}, {0x1d6e2, 0x1d6fa}, {0x1d71c, 0x1d734}, - {0x1d756, 0x1d76e}, {0x1d790, 0x1d7a8} + ,{0x10400, 0x10427}, {0x104b0, 0x104d3}, {0x10c80, 0x10cb2}, {0x118a0, 0x118bf}, + {0x1d400, 0x1d419}, {0x1d434, 0x1d44d}, {0x1d468, 0x1d481}, {0x1d4a9, 0x1d4ac}, + {0x1d4ae, 0x1d4b5}, {0x1d4d0, 0x1d4e9}, {0x1d507, 0x1d50a}, {0x1d50d, 0x1d514}, + {0x1d516, 0x1d51c}, {0x1d53b, 0x1d53e}, {0x1d540, 0x1d544}, {0x1d54a, 0x1d550}, + {0x1d56c, 0x1d585}, {0x1d5a0, 0x1d5b9}, {0x1d5d4, 0x1d5ed}, {0x1d608, 0x1d621}, + {0x1d63c, 0x1d655}, {0x1d670, 0x1d689}, {0x1d6a8, 0x1d6c0}, {0x1d6e2, 0x1d6fa}, + {0x1d71c, 0x1d734}, {0x1d756, 0x1d76e}, {0x1d790, 0x1d7a8}, {0x1e900, 0x1e921} #endif }; @@ -610,26 +616,26 @@ static const crange graphRangeTable[] = { {0x5d0, 0x5ea}, {0x5f0, 0x5f4}, {0x606, 0x61b}, {0x61e, 0x6dc}, {0x6de, 0x70d}, {0x710, 0x74a}, {0x74d, 0x7b1}, {0x7c0, 0x7fa}, {0x800, 0x82d}, {0x830, 0x83e}, {0x840, 0x85b}, {0x8a0, 0x8b4}, - {0x8e3, 0x983}, {0x985, 0x98c}, {0x993, 0x9a8}, {0x9aa, 0x9b0}, - {0x9b6, 0x9b9}, {0x9bc, 0x9c4}, {0x9cb, 0x9ce}, {0x9df, 0x9e3}, - {0x9e6, 0x9fb}, {0xa01, 0xa03}, {0xa05, 0xa0a}, {0xa13, 0xa28}, - {0xa2a, 0xa30}, {0xa3e, 0xa42}, {0xa4b, 0xa4d}, {0xa59, 0xa5c}, - {0xa66, 0xa75}, {0xa81, 0xa83}, {0xa85, 0xa8d}, {0xa8f, 0xa91}, - {0xa93, 0xaa8}, {0xaaa, 0xab0}, {0xab5, 0xab9}, {0xabc, 0xac5}, - {0xac7, 0xac9}, {0xacb, 0xacd}, {0xae0, 0xae3}, {0xae6, 0xaf1}, - {0xb01, 0xb03}, {0xb05, 0xb0c}, {0xb13, 0xb28}, {0xb2a, 0xb30}, - {0xb35, 0xb39}, {0xb3c, 0xb44}, {0xb4b, 0xb4d}, {0xb5f, 0xb63}, - {0xb66, 0xb77}, {0xb85, 0xb8a}, {0xb8e, 0xb90}, {0xb92, 0xb95}, - {0xba8, 0xbaa}, {0xbae, 0xbb9}, {0xbbe, 0xbc2}, {0xbc6, 0xbc8}, - {0xbca, 0xbcd}, {0xbe6, 0xbfa}, {0xc00, 0xc03}, {0xc05, 0xc0c}, - {0xc0e, 0xc10}, {0xc12, 0xc28}, {0xc2a, 0xc39}, {0xc3d, 0xc44}, - {0xc46, 0xc48}, {0xc4a, 0xc4d}, {0xc58, 0xc5a}, {0xc60, 0xc63}, - {0xc66, 0xc6f}, {0xc78, 0xc7f}, {0xc81, 0xc83}, {0xc85, 0xc8c}, - {0xc8e, 0xc90}, {0xc92, 0xca8}, {0xcaa, 0xcb3}, {0xcb5, 0xcb9}, - {0xcbc, 0xcc4}, {0xcc6, 0xcc8}, {0xcca, 0xccd}, {0xce0, 0xce3}, - {0xce6, 0xcef}, {0xd01, 0xd03}, {0xd05, 0xd0c}, {0xd0e, 0xd10}, - {0xd12, 0xd3a}, {0xd3d, 0xd44}, {0xd46, 0xd48}, {0xd4a, 0xd4e}, - {0xd5f, 0xd63}, {0xd66, 0xd75}, {0xd79, 0xd7f}, {0xd85, 0xd96}, + {0x8b6, 0x8bd}, {0x8d4, 0x8e1}, {0x8e3, 0x983}, {0x985, 0x98c}, + {0x993, 0x9a8}, {0x9aa, 0x9b0}, {0x9b6, 0x9b9}, {0x9bc, 0x9c4}, + {0x9cb, 0x9ce}, {0x9df, 0x9e3}, {0x9e6, 0x9fb}, {0xa01, 0xa03}, + {0xa05, 0xa0a}, {0xa13, 0xa28}, {0xa2a, 0xa30}, {0xa3e, 0xa42}, + {0xa4b, 0xa4d}, {0xa59, 0xa5c}, {0xa66, 0xa75}, {0xa81, 0xa83}, + {0xa85, 0xa8d}, {0xa8f, 0xa91}, {0xa93, 0xaa8}, {0xaaa, 0xab0}, + {0xab5, 0xab9}, {0xabc, 0xac5}, {0xac7, 0xac9}, {0xacb, 0xacd}, + {0xae0, 0xae3}, {0xae6, 0xaf1}, {0xb01, 0xb03}, {0xb05, 0xb0c}, + {0xb13, 0xb28}, {0xb2a, 0xb30}, {0xb35, 0xb39}, {0xb3c, 0xb44}, + {0xb4b, 0xb4d}, {0xb5f, 0xb63}, {0xb66, 0xb77}, {0xb85, 0xb8a}, + {0xb8e, 0xb90}, {0xb92, 0xb95}, {0xba8, 0xbaa}, {0xbae, 0xbb9}, + {0xbbe, 0xbc2}, {0xbc6, 0xbc8}, {0xbca, 0xbcd}, {0xbe6, 0xbfa}, + {0xc00, 0xc03}, {0xc05, 0xc0c}, {0xc0e, 0xc10}, {0xc12, 0xc28}, + {0xc2a, 0xc39}, {0xc3d, 0xc44}, {0xc46, 0xc48}, {0xc4a, 0xc4d}, + {0xc58, 0xc5a}, {0xc60, 0xc63}, {0xc66, 0xc6f}, {0xc78, 0xc83}, + {0xc85, 0xc8c}, {0xc8e, 0xc90}, {0xc92, 0xca8}, {0xcaa, 0xcb3}, + {0xcb5, 0xcb9}, {0xcbc, 0xcc4}, {0xcc6, 0xcc8}, {0xcca, 0xccd}, + {0xce0, 0xce3}, {0xce6, 0xcef}, {0xd01, 0xd03}, {0xd05, 0xd0c}, + {0xd0e, 0xd10}, {0xd12, 0xd3a}, {0xd3d, 0xd44}, {0xd46, 0xd48}, + {0xd4a, 0xd4f}, {0xd54, 0xd63}, {0xd66, 0xd7f}, {0xd85, 0xd96}, {0xd9a, 0xdb1}, {0xdb3, 0xdbb}, {0xdc0, 0xdc6}, {0xdcf, 0xdd4}, {0xdd8, 0xddf}, {0xde6, 0xdef}, {0xdf2, 0xdf4}, {0xe01, 0xe3a}, {0xe3f, 0xe5b}, {0xe94, 0xe97}, {0xe99, 0xe9f}, {0xea1, 0xea3}, @@ -650,25 +656,25 @@ static const crange graphRangeTable[] = { {0x19de, 0x1a1b}, {0x1a1e, 0x1a5e}, {0x1a60, 0x1a7c}, {0x1a7f, 0x1a89}, {0x1a90, 0x1a99}, {0x1aa0, 0x1aad}, {0x1ab0, 0x1abe}, {0x1b00, 0x1b4b}, {0x1b50, 0x1b7c}, {0x1b80, 0x1bf3}, {0x1bfc, 0x1c37}, {0x1c3b, 0x1c49}, - {0x1c4d, 0x1c7f}, {0x1cc0, 0x1cc7}, {0x1cd0, 0x1cf6}, {0x1d00, 0x1df5}, - {0x1dfc, 0x1f15}, {0x1f18, 0x1f1d}, {0x1f20, 0x1f45}, {0x1f48, 0x1f4d}, + {0x1c4d, 0x1c88}, {0x1cc0, 0x1cc7}, {0x1cd0, 0x1cf6}, {0x1d00, 0x1df5}, + {0x1dfb, 0x1f15}, {0x1f18, 0x1f1d}, {0x1f20, 0x1f45}, {0x1f48, 0x1f4d}, {0x1f50, 0x1f57}, {0x1f5f, 0x1f7d}, {0x1f80, 0x1fb4}, {0x1fb6, 0x1fc4}, {0x1fc6, 0x1fd3}, {0x1fd6, 0x1fdb}, {0x1fdd, 0x1fef}, {0x1ff2, 0x1ff4}, {0x1ff6, 0x1ffe}, {0x2010, 0x2027}, {0x2030, 0x205e}, {0x2074, 0x208e}, {0x2090, 0x209c}, {0x20a0, 0x20be}, {0x20d0, 0x20f0}, {0x2100, 0x218b}, - {0x2190, 0x23fa}, {0x2400, 0x2426}, {0x2440, 0x244a}, {0x2460, 0x2b73}, + {0x2190, 0x23fe}, {0x2400, 0x2426}, {0x2440, 0x244a}, {0x2460, 0x2b73}, {0x2b76, 0x2b95}, {0x2b98, 0x2bb9}, {0x2bbd, 0x2bc8}, {0x2bca, 0x2bd1}, {0x2bec, 0x2bef}, {0x2c00, 0x2c2e}, {0x2c30, 0x2c5e}, {0x2c60, 0x2cf3}, {0x2cf9, 0x2d25}, {0x2d30, 0x2d67}, {0x2d7f, 0x2d96}, {0x2da0, 0x2da6}, {0x2da8, 0x2dae}, {0x2db0, 0x2db6}, {0x2db8, 0x2dbe}, {0x2dc0, 0x2dc6}, - {0x2dc8, 0x2dce}, {0x2dd0, 0x2dd6}, {0x2dd8, 0x2dde}, {0x2de0, 0x2e42}, + {0x2dc8, 0x2dce}, {0x2dd0, 0x2dd6}, {0x2dd8, 0x2dde}, {0x2de0, 0x2e44}, {0x2e80, 0x2e99}, {0x2e9b, 0x2ef3}, {0x2f00, 0x2fd5}, {0x2ff0, 0x2ffb}, {0x3001, 0x303f}, {0x3041, 0x3096}, {0x3099, 0x30ff}, {0x3105, 0x312d}, {0x3131, 0x318e}, {0x3190, 0x31ba}, {0x31c0, 0x31e3}, {0x31f0, 0x321e}, {0x3220, 0x32fe}, {0x3300, 0x4db5}, {0x4dc0, 0x9fd5}, {0xa000, 0xa48c}, - {0xa490, 0xa4c6}, {0xa4d0, 0xa62b}, {0xa640, 0xa6f7}, {0xa700, 0xa7ad}, + {0xa490, 0xa4c6}, {0xa4d0, 0xa62b}, {0xa640, 0xa6f7}, {0xa700, 0xa7ae}, {0xa7b0, 0xa7b7}, {0xa7f7, 0xa82b}, {0xa830, 0xa839}, {0xa840, 0xa877}, - {0xa880, 0xa8c4}, {0xa8ce, 0xa8d9}, {0xa8e0, 0xa8fd}, {0xa900, 0xa953}, + {0xa880, 0xa8c5}, {0xa8ce, 0xa8d9}, {0xa8e0, 0xa8fd}, {0xa900, 0xa953}, {0xa95f, 0xa97c}, {0xa980, 0xa9cd}, {0xa9cf, 0xa9d9}, {0xa9de, 0xa9fe}, {0xaa00, 0xaa36}, {0xaa40, 0xaa4d}, {0xaa50, 0xaa59}, {0xaa5c, 0xaac2}, {0xaadb, 0xaaf6}, {0xab01, 0xab06}, {0xab09, 0xab0e}, {0xab11, 0xab16}, @@ -687,54 +693,59 @@ static const crange graphRangeTable[] = { #if TCL_UTF_MAX > 4 ,{0x10000, 0x1000b}, {0x1000d, 0x10026}, {0x10028, 0x1003a}, {0x1003f, 0x1004d}, {0x10050, 0x1005d}, {0x10080, 0x100fa}, {0x10100, 0x10102}, {0x10107, 0x10133}, - {0x10137, 0x1018c}, {0x10190, 0x1019b}, {0x101d0, 0x101fd}, {0x10280, 0x1029c}, + {0x10137, 0x1018e}, {0x10190, 0x1019b}, {0x101d0, 0x101fd}, {0x10280, 0x1029c}, {0x102a0, 0x102d0}, {0x102e0, 0x102fb}, {0x10300, 0x10323}, {0x10330, 0x1034a}, {0x10350, 0x1037a}, {0x10380, 0x1039d}, {0x1039f, 0x103c3}, {0x103c8, 0x103d5}, - {0x10400, 0x1049d}, {0x104a0, 0x104a9}, {0x10500, 0x10527}, {0x10530, 0x10563}, - {0x10600, 0x10736}, {0x10740, 0x10755}, {0x10760, 0x10767}, {0x10800, 0x10805}, - {0x1080a, 0x10835}, {0x1083f, 0x10855}, {0x10857, 0x1089e}, {0x108a7, 0x108af}, - {0x108e0, 0x108f2}, {0x108fb, 0x1091b}, {0x1091f, 0x10939}, {0x10980, 0x109b7}, - {0x109bc, 0x109cf}, {0x109d2, 0x10a03}, {0x10a0c, 0x10a13}, {0x10a15, 0x10a17}, - {0x10a19, 0x10a33}, {0x10a38, 0x10a3a}, {0x10a3f, 0x10a47}, {0x10a50, 0x10a58}, - {0x10a60, 0x10a9f}, {0x10ac0, 0x10ae6}, {0x10aeb, 0x10af6}, {0x10b00, 0x10b35}, - {0x10b39, 0x10b55}, {0x10b58, 0x10b72}, {0x10b78, 0x10b91}, {0x10b99, 0x10b9c}, - {0x10ba9, 0x10baf}, {0x10c00, 0x10c48}, {0x10c80, 0x10cb2}, {0x10cc0, 0x10cf2}, - {0x10cfa, 0x10cff}, {0x10e60, 0x10e7e}, {0x11000, 0x1104d}, {0x11052, 0x1106f}, - {0x1107f, 0x110bc}, {0x110be, 0x110c1}, {0x110d0, 0x110e8}, {0x110f0, 0x110f9}, - {0x11100, 0x11134}, {0x11136, 0x11143}, {0x11150, 0x11176}, {0x11180, 0x111cd}, - {0x111d0, 0x111df}, {0x111e1, 0x111f4}, {0x11200, 0x11211}, {0x11213, 0x1123d}, - {0x11280, 0x11286}, {0x1128a, 0x1128d}, {0x1128f, 0x1129d}, {0x1129f, 0x112a9}, - {0x112b0, 0x112ea}, {0x112f0, 0x112f9}, {0x11300, 0x11303}, {0x11305, 0x1130c}, - {0x11313, 0x11328}, {0x1132a, 0x11330}, {0x11335, 0x11339}, {0x1133c, 0x11344}, - {0x1134b, 0x1134d}, {0x1135d, 0x11363}, {0x11366, 0x1136c}, {0x11370, 0x11374}, - {0x11480, 0x114c7}, {0x114d0, 0x114d9}, {0x11580, 0x115b5}, {0x115b8, 0x115dd}, - {0x11600, 0x11644}, {0x11650, 0x11659}, {0x11680, 0x116b7}, {0x116c0, 0x116c9}, + {0x10400, 0x1049d}, {0x104a0, 0x104a9}, {0x104b0, 0x104d3}, {0x104d8, 0x104fb}, + {0x10500, 0x10527}, {0x10530, 0x10563}, {0x10600, 0x10736}, {0x10740, 0x10755}, + {0x10760, 0x10767}, {0x10800, 0x10805}, {0x1080a, 0x10835}, {0x1083f, 0x10855}, + {0x10857, 0x1089e}, {0x108a7, 0x108af}, {0x108e0, 0x108f2}, {0x108fb, 0x1091b}, + {0x1091f, 0x10939}, {0x10980, 0x109b7}, {0x109bc, 0x109cf}, {0x109d2, 0x10a03}, + {0x10a0c, 0x10a13}, {0x10a15, 0x10a17}, {0x10a19, 0x10a33}, {0x10a38, 0x10a3a}, + {0x10a3f, 0x10a47}, {0x10a50, 0x10a58}, {0x10a60, 0x10a9f}, {0x10ac0, 0x10ae6}, + {0x10aeb, 0x10af6}, {0x10b00, 0x10b35}, {0x10b39, 0x10b55}, {0x10b58, 0x10b72}, + {0x10b78, 0x10b91}, {0x10b99, 0x10b9c}, {0x10ba9, 0x10baf}, {0x10c00, 0x10c48}, + {0x10c80, 0x10cb2}, {0x10cc0, 0x10cf2}, {0x10cfa, 0x10cff}, {0x10e60, 0x10e7e}, + {0x11000, 0x1104d}, {0x11052, 0x1106f}, {0x1107f, 0x110bc}, {0x110be, 0x110c1}, + {0x110d0, 0x110e8}, {0x110f0, 0x110f9}, {0x11100, 0x11134}, {0x11136, 0x11143}, + {0x11150, 0x11176}, {0x11180, 0x111cd}, {0x111d0, 0x111df}, {0x111e1, 0x111f4}, + {0x11200, 0x11211}, {0x11213, 0x1123e}, {0x11280, 0x11286}, {0x1128a, 0x1128d}, + {0x1128f, 0x1129d}, {0x1129f, 0x112a9}, {0x112b0, 0x112ea}, {0x112f0, 0x112f9}, + {0x11300, 0x11303}, {0x11305, 0x1130c}, {0x11313, 0x11328}, {0x1132a, 0x11330}, + {0x11335, 0x11339}, {0x1133c, 0x11344}, {0x1134b, 0x1134d}, {0x1135d, 0x11363}, + {0x11366, 0x1136c}, {0x11370, 0x11374}, {0x11400, 0x11459}, {0x11480, 0x114c7}, + {0x114d0, 0x114d9}, {0x11580, 0x115b5}, {0x115b8, 0x115dd}, {0x11600, 0x11644}, + {0x11650, 0x11659}, {0x11660, 0x1166c}, {0x11680, 0x116b7}, {0x116c0, 0x116c9}, {0x11700, 0x11719}, {0x1171d, 0x1172b}, {0x11730, 0x1173f}, {0x118a0, 0x118f2}, - {0x11ac0, 0x11af8}, {0x12000, 0x12399}, {0x12400, 0x1246e}, {0x12470, 0x12474}, - {0x12480, 0x12543}, {0x13000, 0x1342e}, {0x14400, 0x14646}, {0x16800, 0x16a38}, - {0x16a40, 0x16a5e}, {0x16a60, 0x16a69}, {0x16ad0, 0x16aed}, {0x16af0, 0x16af5}, - {0x16b00, 0x16b45}, {0x16b50, 0x16b59}, {0x16b5b, 0x16b61}, {0x16b63, 0x16b77}, - {0x16b7d, 0x16b8f}, {0x16f00, 0x16f44}, {0x16f50, 0x16f7e}, {0x16f8f, 0x16f9f}, - {0x1bc00, 0x1bc6a}, {0x1bc70, 0x1bc7c}, {0x1bc80, 0x1bc88}, {0x1bc90, 0x1bc99}, - {0x1bc9c, 0x1bc9f}, {0x1d000, 0x1d0f5}, {0x1d100, 0x1d126}, {0x1d129, 0x1d172}, - {0x1d17b, 0x1d1e8}, {0x1d200, 0x1d245}, {0x1d300, 0x1d356}, {0x1d360, 0x1d371}, - {0x1d400, 0x1d454}, {0x1d456, 0x1d49c}, {0x1d4a9, 0x1d4ac}, {0x1d4ae, 0x1d4b9}, - {0x1d4bd, 0x1d4c3}, {0x1d4c5, 0x1d505}, {0x1d507, 0x1d50a}, {0x1d50d, 0x1d514}, - {0x1d516, 0x1d51c}, {0x1d51e, 0x1d539}, {0x1d53b, 0x1d53e}, {0x1d540, 0x1d544}, - {0x1d54a, 0x1d550}, {0x1d552, 0x1d6a5}, {0x1d6a8, 0x1d7cb}, {0x1d7ce, 0x1da8b}, - {0x1da9b, 0x1da9f}, {0x1daa1, 0x1daaf}, {0x1e800, 0x1e8c4}, {0x1e8c7, 0x1e8d6}, - {0x1ee00, 0x1ee03}, {0x1ee05, 0x1ee1f}, {0x1ee29, 0x1ee32}, {0x1ee34, 0x1ee37}, - {0x1ee4d, 0x1ee4f}, {0x1ee67, 0x1ee6a}, {0x1ee6c, 0x1ee72}, {0x1ee74, 0x1ee77}, - {0x1ee79, 0x1ee7c}, {0x1ee80, 0x1ee89}, {0x1ee8b, 0x1ee9b}, {0x1eea1, 0x1eea3}, - {0x1eea5, 0x1eea9}, {0x1eeab, 0x1eebb}, {0x1f000, 0x1f02b}, {0x1f030, 0x1f093}, - {0x1f0a0, 0x1f0ae}, {0x1f0b1, 0x1f0bf}, {0x1f0c1, 0x1f0cf}, {0x1f0d1, 0x1f0f5}, - {0x1f100, 0x1f10c}, {0x1f110, 0x1f12e}, {0x1f130, 0x1f16b}, {0x1f170, 0x1f19a}, - {0x1f1e6, 0x1f202}, {0x1f210, 0x1f23a}, {0x1f240, 0x1f248}, {0x1f300, 0x1f579}, - {0x1f57b, 0x1f5a3}, {0x1f5a5, 0x1f6d0}, {0x1f6e0, 0x1f6ec}, {0x1f6f0, 0x1f6f3}, - {0x1f700, 0x1f773}, {0x1f780, 0x1f7d4}, {0x1f800, 0x1f80b}, {0x1f810, 0x1f847}, - {0x1f850, 0x1f859}, {0x1f860, 0x1f887}, {0x1f890, 0x1f8ad}, {0x1f910, 0x1f918}, - {0x1f980, 0x1f984}, {0x20000, 0x2a6d6}, {0x2a700, 0x2b734}, {0x2b740, 0x2b81d}, - {0x2b820, 0x2cea1}, {0x2f800, 0x2fa1d}, {0xe0100, 0xe01ef} + {0x11ac0, 0x11af8}, {0x11c00, 0x11c08}, {0x11c0a, 0x11c36}, {0x11c38, 0x11c45}, + {0x11c50, 0x11c6c}, {0x11c70, 0x11c8f}, {0x11c92, 0x11ca7}, {0x11ca9, 0x11cb6}, + {0x12000, 0x12399}, {0x12400, 0x1246e}, {0x12470, 0x12474}, {0x12480, 0x12543}, + {0x13000, 0x1342e}, {0x14400, 0x14646}, {0x16800, 0x16a38}, {0x16a40, 0x16a5e}, + {0x16a60, 0x16a69}, {0x16ad0, 0x16aed}, {0x16af0, 0x16af5}, {0x16b00, 0x16b45}, + {0x16b50, 0x16b59}, {0x16b5b, 0x16b61}, {0x16b63, 0x16b77}, {0x16b7d, 0x16b8f}, + {0x16f00, 0x16f44}, {0x16f50, 0x16f7e}, {0x16f8f, 0x16f9f}, {0x17000, 0x187ec}, + {0x18800, 0x18af2}, {0x1bc00, 0x1bc6a}, {0x1bc70, 0x1bc7c}, {0x1bc80, 0x1bc88}, + {0x1bc90, 0x1bc99}, {0x1bc9c, 0x1bc9f}, {0x1d000, 0x1d0f5}, {0x1d100, 0x1d126}, + {0x1d129, 0x1d172}, {0x1d17b, 0x1d1e8}, {0x1d200, 0x1d245}, {0x1d300, 0x1d356}, + {0x1d360, 0x1d371}, {0x1d400, 0x1d454}, {0x1d456, 0x1d49c}, {0x1d4a9, 0x1d4ac}, + {0x1d4ae, 0x1d4b9}, {0x1d4bd, 0x1d4c3}, {0x1d4c5, 0x1d505}, {0x1d507, 0x1d50a}, + {0x1d50d, 0x1d514}, {0x1d516, 0x1d51c}, {0x1d51e, 0x1d539}, {0x1d53b, 0x1d53e}, + {0x1d540, 0x1d544}, {0x1d54a, 0x1d550}, {0x1d552, 0x1d6a5}, {0x1d6a8, 0x1d7cb}, + {0x1d7ce, 0x1da8b}, {0x1da9b, 0x1da9f}, {0x1daa1, 0x1daaf}, {0x1e000, 0x1e006}, + {0x1e008, 0x1e018}, {0x1e01b, 0x1e021}, {0x1e026, 0x1e02a}, {0x1e800, 0x1e8c4}, + {0x1e8c7, 0x1e8d6}, {0x1e900, 0x1e94a}, {0x1e950, 0x1e959}, {0x1ee00, 0x1ee03}, + {0x1ee05, 0x1ee1f}, {0x1ee29, 0x1ee32}, {0x1ee34, 0x1ee37}, {0x1ee4d, 0x1ee4f}, + {0x1ee67, 0x1ee6a}, {0x1ee6c, 0x1ee72}, {0x1ee74, 0x1ee77}, {0x1ee79, 0x1ee7c}, + {0x1ee80, 0x1ee89}, {0x1ee8b, 0x1ee9b}, {0x1eea1, 0x1eea3}, {0x1eea5, 0x1eea9}, + {0x1eeab, 0x1eebb}, {0x1f000, 0x1f02b}, {0x1f030, 0x1f093}, {0x1f0a0, 0x1f0ae}, + {0x1f0b1, 0x1f0bf}, {0x1f0c1, 0x1f0cf}, {0x1f0d1, 0x1f0f5}, {0x1f100, 0x1f10c}, + {0x1f110, 0x1f12e}, {0x1f130, 0x1f16b}, {0x1f170, 0x1f1ac}, {0x1f1e6, 0x1f202}, + {0x1f210, 0x1f23b}, {0x1f240, 0x1f248}, {0x1f300, 0x1f6d2}, {0x1f6e0, 0x1f6ec}, + {0x1f6f0, 0x1f6f6}, {0x1f700, 0x1f773}, {0x1f780, 0x1f7d4}, {0x1f800, 0x1f80b}, + {0x1f810, 0x1f847}, {0x1f850, 0x1f859}, {0x1f860, 0x1f887}, {0x1f890, 0x1f8ad}, + {0x1f910, 0x1f91e}, {0x1f920, 0x1f927}, {0x1f933, 0x1f93e}, {0x1f940, 0x1f94b}, + {0x1f950, 0x1f95e}, {0x1f980, 0x1f991}, {0x20000, 0x2a6d6}, {0x2a700, 0x2b734}, + {0x2b740, 0x2b81d}, {0x2b820, 0x2cea1}, {0x2f800, 0x2fa1d}, {0xe0100, 0xe01ef} #endif }; @@ -747,20 +758,20 @@ static const chr graphCharTable[] = { 0xad0, 0xaf9, 0xb0f, 0xb10, 0xb32, 0xb33, 0xb47, 0xb48, 0xb56, 0xb57, 0xb5c, 0xb5d, 0xb82, 0xb83, 0xb99, 0xb9a, 0xb9c, 0xb9e, 0xb9f, 0xba3, 0xba4, 0xbd0, 0xbd7, 0xc55, 0xc56, 0xcd5, 0xcd6, - 0xcde, 0xcf1, 0xcf2, 0xd57, 0xd82, 0xd83, 0xdbd, 0xdca, 0xdd6, - 0xe81, 0xe82, 0xe84, 0xe87, 0xe88, 0xe8a, 0xe8d, 0xea5, 0xea7, - 0xeaa, 0xeab, 0xec6, 0x10c7, 0x10cd, 0x1258, 0x12c0, 0x1772, 0x1773, - 0x1940, 0x1cf8, 0x1cf9, 0x1f59, 0x1f5b, 0x1f5d, 0x2070, 0x2071, 0x2d27, - 0x2d2d, 0x2d6f, 0x2d70, 0xfb3e, 0xfb40, 0xfb41, 0xfb43, 0xfb44, 0xfffc, - 0xfffd + 0xcde, 0xcf1, 0xcf2, 0xd82, 0xd83, 0xdbd, 0xdca, 0xdd6, 0xe81, + 0xe82, 0xe84, 0xe87, 0xe88, 0xe8a, 0xe8d, 0xea5, 0xea7, 0xeaa, + 0xeab, 0xec6, 0x10c7, 0x10cd, 0x1258, 0x12c0, 0x1772, 0x1773, 0x1940, + 0x1cf8, 0x1cf9, 0x1f59, 0x1f5b, 0x1f5d, 0x2070, 0x2071, 0x2d27, 0x2d2d, + 0x2d6f, 0x2d70, 0xfb3e, 0xfb40, 0xfb41, 0xfb43, 0xfb44, 0xfffc, 0xfffd #if TCL_UTF_MAX > 4 ,0x1003c, 0x1003d, 0x101a0, 0x1056f, 0x10808, 0x10837, 0x10838, 0x1083c, 0x108f4, 0x108f5, 0x1093f, 0x10a05, 0x10a06, 0x11288, 0x1130f, 0x11310, 0x11332, 0x11333, - 0x11347, 0x11348, 0x11350, 0x11357, 0x118ff, 0x16a6e, 0x16a6f, 0x1b000, 0x1b001, - 0x1d49e, 0x1d49f, 0x1d4a2, 0x1d4a5, 0x1d4a6, 0x1d4bb, 0x1d546, 0x1ee21, 0x1ee22, - 0x1ee24, 0x1ee27, 0x1ee39, 0x1ee3b, 0x1ee42, 0x1ee47, 0x1ee49, 0x1ee4b, 0x1ee51, - 0x1ee52, 0x1ee54, 0x1ee57, 0x1ee59, 0x1ee5b, 0x1ee5d, 0x1ee5f, 0x1ee61, 0x1ee62, - 0x1ee64, 0x1ee7e, 0x1eef0, 0x1eef1, 0x1f250, 0x1f251, 0x1f9c0 + 0x11347, 0x11348, 0x11350, 0x11357, 0x1145b, 0x1145d, 0x118ff, 0x16a6e, 0x16a6f, + 0x16fe0, 0x1b000, 0x1b001, 0x1d49e, 0x1d49f, 0x1d4a2, 0x1d4a5, 0x1d4a6, 0x1d4bb, + 0x1d546, 0x1e023, 0x1e024, 0x1e95e, 0x1e95f, 0x1ee21, 0x1ee22, 0x1ee24, 0x1ee27, + 0x1ee39, 0x1ee3b, 0x1ee42, 0x1ee47, 0x1ee49, 0x1ee4b, 0x1ee51, 0x1ee52, 0x1ee54, + 0x1ee57, 0x1ee59, 0x1ee5b, 0x1ee5d, 0x1ee5f, 0x1ee61, 0x1ee62, 0x1ee64, 0x1ee7e, + 0x1eef0, 0x1eef1, 0x1f250, 0x1f251, 0x1f930, 0x1f9c0 #endif }; diff --git a/generic/tclUniData.c b/generic/tclUniData.c index d2f66fe..20fab8c 100644 --- a/generic/tclUniData.c +++ b/generic/tclUniData.c @@ -29,36 +29,36 @@ static const unsigned short pageMap[] = { 832, 864, 896, 928, 960, 992, 224, 1024, 224, 1056, 224, 224, 1088, 1120, 1152, 1184, 1216, 1248, 1280, 1312, 1344, 1376, 1408, 1344, 1344, 1440, 1472, 1504, 1536, 1568, 1344, 1344, 1600, 1632, 1664, 1696, 1728, - 1760, 1792, 1792, 1824, 1792, 1856, 1888, 1920, 1952, 1984, 2016, 2048, - 2080, 2112, 2144, 2176, 2208, 2240, 2272, 2304, 2336, 2368, 2400, 2432, - 2464, 2496, 2528, 2560, 2592, 2624, 2656, 2688, 2720, 2752, 2784, 2816, - 2848, 2880, 2784, 2912, 2944, 2976, 3008, 3040, 3072, 3104, 3136, 3168, - 3200, 1792, 3232, 3264, 3296, 1792, 3328, 3360, 3392, 3424, 3456, 3488, - 3520, 1792, 1344, 3552, 3584, 3616, 3648, 3680, 3712, 3744, 1344, 1344, - 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 3776, 1344, 3808, 3840, - 3872, 1344, 3904, 1344, 3936, 3968, 4000, 4032, 4032, 4064, 4096, 1344, + 1760, 1792, 1792, 1824, 1856, 1888, 1920, 1952, 1984, 2016, 2048, 2080, + 2112, 2144, 2176, 2208, 2240, 2272, 2304, 2336, 2368, 2400, 2432, 2464, + 2496, 2528, 2560, 2592, 2624, 2656, 2688, 2720, 2752, 2784, 2816, 2848, + 2880, 2912, 2944, 2976, 3008, 3040, 3072, 3104, 3136, 3168, 3200, 3232, + 3264, 1792, 3296, 3328, 3360, 1792, 3392, 3424, 3456, 3488, 3520, 3552, + 3584, 1792, 1344, 3616, 3648, 3680, 3712, 3744, 3776, 3808, 1344, 1344, + 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 3840, 1344, 3872, 3904, + 3936, 1344, 3968, 1344, 4000, 4032, 4064, 4096, 4096, 4128, 4160, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, - 1344, 1344, 1344, 1344, 1344, 4128, 4160, 1344, 1344, 4192, 4224, 4256, - 4288, 4320, 1344, 4352, 4384, 4416, 4448, 1344, 4480, 4512, 1344, 4544, - 1344, 4576, 4608, 4640, 4672, 4704, 1344, 4736, 4768, 4800, 4832, 1344, - 4864, 4896, 4928, 4960, 1792, 1792, 4992, 5024, 5056, 5088, 5120, 5152, - 1344, 5184, 1344, 5216, 5248, 5280, 1792, 1792, 5312, 5344, 5376, 5408, - 5440, 5472, 5504, 5440, 704, 5536, 224, 224, 224, 224, 5568, 224, 224, - 224, 5600, 5632, 5664, 5696, 5728, 5760, 5792, 5824, 5856, 5888, 5920, - 5952, 5984, 6016, 6048, 6080, 6112, 6144, 6176, 6208, 6240, 6272, 6304, - 6336, 6368, 6368, 6368, 6368, 6368, 6368, 6368, 6368, 6400, 6432, 4800, - 6464, 6496, 6528, 6560, 6592, 4800, 6624, 6656, 6688, 6720, 6752, 6784, - 6816, 4800, 4800, 4800, 4800, 4800, 6848, 6880, 6912, 4800, 4800, 4800, - 6944, 4800, 4800, 4800, 4800, 4800, 4800, 4800, 6976, 7008, 4800, 7040, - 7072, 4800, 4800, 4800, 4800, 4800, 4800, 4800, 4800, 6368, 6368, 6368, - 6368, 7104, 6368, 7136, 7168, 6368, 6368, 6368, 6368, 6368, 6368, 6368, - 6368, 4800, 7200, 7232, 7264, 7296, 7328, 7360, 7392, 7424, 7456, 7488, - 7520, 224, 224, 224, 7552, 7584, 7616, 1344, 7648, 7680, 7712, 7712, - 704, 7744, 7776, 7808, 1792, 7840, 4800, 4800, 7872, 4800, 4800, 4800, - 4800, 4800, 4800, 7904, 7936, 7968, 8000, 3136, 1344, 8032, 4096, 1344, - 8064, 8096, 8128, 1344, 1344, 8160, 8192, 4800, 8224, 8256, 8288, 8320, - 4800, 8288, 8352, 4800, 8256, 4800, 4800, 4800, 4800, 4800, 4800, 4800, - 4800, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, + 1344, 1344, 1344, 1344, 1344, 4192, 4224, 1344, 1344, 4256, 4288, 4320, + 4352, 4384, 1344, 4416, 4448, 4480, 4512, 1344, 4544, 4576, 4608, 4640, + 1344, 4672, 4704, 4736, 4768, 4800, 1344, 4832, 4864, 4896, 4928, 1344, + 4960, 4992, 5024, 5056, 1792, 1792, 5088, 5120, 5152, 5184, 5216, 5248, + 1344, 5280, 1344, 5312, 5344, 5376, 5408, 1792, 5440, 5472, 5504, 5536, + 5568, 5600, 5632, 5568, 704, 5664, 224, 224, 224, 224, 5696, 224, 224, + 224, 5728, 5760, 5792, 5824, 5856, 5888, 5920, 5952, 5984, 6016, 6048, + 6080, 6112, 6144, 6176, 6208, 6240, 6272, 6304, 6336, 6368, 6400, 6432, + 6464, 6496, 6496, 6496, 6496, 6496, 6496, 6496, 6496, 6528, 6560, 4896, + 6592, 6624, 6656, 6688, 6720, 4896, 6752, 6784, 6816, 6848, 6880, 6912, + 6944, 4896, 4896, 4896, 4896, 4896, 6976, 7008, 7040, 4896, 4896, 4896, + 7072, 4896, 4896, 4896, 4896, 4896, 4896, 4896, 7104, 7136, 4896, 7168, + 7200, 4896, 4896, 4896, 4896, 4896, 4896, 4896, 4896, 6496, 6496, 6496, + 6496, 7232, 6496, 7264, 7296, 6496, 6496, 6496, 6496, 6496, 6496, 6496, + 6496, 4896, 7328, 7360, 7392, 7424, 7456, 7488, 7520, 7552, 7584, 7616, + 7648, 224, 224, 224, 7680, 7712, 7744, 1344, 7776, 7808, 7840, 7840, + 704, 7872, 7904, 7936, 1792, 7968, 4896, 4896, 8000, 4896, 4896, 4896, + 4896, 4896, 4896, 8032, 8064, 8096, 8128, 3200, 1344, 8160, 4160, 1344, + 8192, 8224, 8256, 1344, 1344, 8288, 8320, 4896, 8352, 8384, 8416, 8448, + 4896, 8416, 8480, 4896, 8384, 4896, 4896, 4896, 4896, 4896, 4896, 4896, + 4896, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, @@ -75,7 +75,7 @@ static const unsigned short pageMap[] = { 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, - 1344, 1344, 4576, 4800, 4800, 1344, 1344, 1344, 1344, 1344, 1344, 1344, + 1344, 1344, 4672, 4896, 4896, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, @@ -129,16 +129,16 @@ static const unsigned short pageMap[] = { 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, - 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 4576, - 1792, 8384, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, + 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 4672, + 1792, 8512, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, - 1344, 8416, 4800, 8448, 5280, 1344, 1344, 1344, 1344, 1344, 1344, 1344, - 1344, 8480, 8512, 224, 8544, 8576, 1344, 1344, 8608, 8640, 8672, 224, - 8704, 8736, 8768, 1792, 8800, 8832, 8864, 1344, 8896, 8928, 8960, 8992, - 9024, 1632, 9056, 9088, 9120, 1888, 9152, 9184, 9216, 1344, 9248, 9280, - 9312, 1344, 9344, 9376, 9408, 9440, 9472, 9504, 9536, 9568, 9568, 1344, - 9600, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, + 1344, 8544, 4896, 8576, 5376, 1344, 1344, 1344, 1344, 1344, 1344, 1344, + 1344, 8608, 8640, 224, 8672, 8704, 1344, 1344, 8736, 8768, 8800, 224, + 8832, 8864, 8896, 1792, 8928, 8960, 8992, 1344, 9024, 9056, 9088, 9120, + 9152, 1632, 9184, 9216, 9248, 1920, 9280, 9312, 9344, 1344, 9376, 9408, + 9440, 1344, 9472, 9504, 9536, 9568, 9600, 9632, 9664, 9696, 9696, 1344, + 9728, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, @@ -167,95 +167,73 @@ static const unsigned short pageMap[] = { 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, - 1344, 1344, 9632, 9664, 9696, 9728, 9728, 9728, 9728, 9728, 9728, 9728, - 9728, 9728, 9728, 9728, 9728, 9728, 9728, 9728, 9728, 9728, 9728, 9728, - 9728, 9728, 9728, 9728, 9728, 9728, 9728, 9728, 9728, 9728, 9728, 9728, - 9728, 9728, 9728, 9728, 9728, 9728, 9728, 9728, 9728, 9728, 9728, 9728, - 9728, 9728, 9728, 9728, 9728, 9728, 9728, 9728, 9728, 9728, 9728, 9728, - 9728, 9728, 9728, 9728, 9728, 9728, 9728, 9728, 9728, 9760, 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1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, + 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, + 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, + 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, + 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, + 1344, 1344, 1344, 1344, 1344, 14336, 1344, 1344, 1344, 1344, 1344, + 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, + 1344, 1344, 1344, 1344, 1344, 1344, 14368, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, @@ -315,19 +313,18 @@ static const unsigned short pageMap[] = { 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 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14688, 14400, 14720, 14752, 14784, 14816, 14848, 14880, 14912, - 14944, 14976, 15008, 15040, 4800, 4800, 4800, 4800, 4800, 4800, 4800, - 4800, 4800, 4800, 4800, 4800, 4800, 4800, 4800, 4800, 704, 15072, 704, - 15104, 15136, 15168, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, + 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 4896, 4896, + 4896, 4896, 4896, 4896, 4896, 8032, 4896, 14528, 4896, 14560, 14592, + 14624, 4896, 14656, 4896, 4896, 14688, 1792, 1792, 1792, 1792, 1792, + 4896, 4896, 14720, 14752, 1792, 1792, 1792, 1792, 14784, 14816, 14848, + 14880, 14912, 14944, 14976, 15008, 15040, 15072, 15104, 15136, 15168, + 14784, 14816, 15200, 14880, 15232, 15264, 15296, 15008, 15328, 15360, + 15392, 15424, 15456, 15488, 15520, 15552, 15584, 15616, 15648, 4896, + 4896, 4896, 4896, 4896, 4896, 4896, 4896, 4896, 4896, 4896, 4896, 4896, + 4896, 4896, 4896, 704, 15680, 704, 15712, 15744, 15776, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, + 1792, 1792, 1792, 1792, 15808, 15840, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, - 1792, 1792, 1344, 1344, 1344, 1344, 1344, 1344, 15200, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, + 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1344, 1344, 1344, + 1344, 1344, 1344, 15872, 1792, 15904, 15936, 15968, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 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16448, 16480, + 16512, 1792, 1792, 1792, 1792, 1792, 4896, 4896, 4896, 4896, 4896, + 4896, 4896, 16544, 4896, 4896, 4896, 4896, 4896, 4896, 4896, 4896, + 4896, 4896, 4896, 4896, 4896, 4896, 4896, 4896, 4896, 4896, 4896, 4896, + 4896, 4896, 16576, 16608, 4896, 4896, 4896, 8000, 4896, 4896, 16640, + 1792, 16224, 4896, 16672, 4896, 16704, 16736, 1792, 1792, 16768, 16800, + 16832, 1792, 16864, 1792, 10912, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, + 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, @@ -481,8 +482,7 @@ static const unsigned short pageMap[] = { 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, - 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, - 1344, 1344, 7680, 1792, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, + 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 7808, 1792, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, @@ -493,7 +493,8 @@ static const unsigned short pageMap[] = { 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, - 1344, 1824, 1344, 1344, 1344, 1344, 1344, 1344, 11200, 1344, 1344, + 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 16896, 1344, 1344, + 1344, 1344, 1344, 1344, 11328, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, @@ -508,7 +509,7 @@ static const unsigned short pageMap[] = { 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, - 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 13792, + 1344, 1344, 1344, 1344, 1344, 1344, 14400, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, @@ -536,8 +537,8 @@ static const unsigned short pageMap[] = { 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, 1792, - 1792, 1792, 1792, 1792, 1792, 1792, 1344, 1344, 1344, 1344, 1344, 1344, - 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 11200 + 1792, 1792, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, 1344, + 1344, 1344, 1344, 1344, 1344, 1344, 11328 #endif /* TCL_UTF_MAX > 3 */ }; @@ -579,7 +580,7 @@ static const unsigned char groupMap[] = { 23, 24, 21, 21, 21, 21, 21, 21, 55, 23, 24, 56, 57, 58, 58, 23, 24, 59, 60, 61, 23, 24, 23, 24, 23, 24, 23, 24, 23, 24, 62, 63, 64, 65, 66, 21, 67, 67, 21, 68, 21, 69, 70, 21, 21, 21, 67, 71, 21, 72, 21, - 73, 74, 21, 75, 76, 21, 77, 78, 21, 21, 76, 21, 79, 80, 21, 21, 81, + 73, 74, 21, 75, 76, 74, 77, 78, 21, 21, 76, 21, 79, 80, 21, 21, 81, 21, 21, 21, 21, 21, 21, 21, 82, 21, 21, 83, 21, 21, 83, 21, 21, 21, 84, 83, 85, 86, 86, 87, 21, 21, 21, 21, 21, 88, 21, 15, 21, 21, 21, 21, 21, 21, 21, 21, 89, 90, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, @@ -654,453 +655,460 @@ static const unsigned char groupMap[] = { 92, 92, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 0, - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 92, 92, 92, 92, 92, 92, 92, + 15, 15, 15, 15, 15, 15, 15, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, + 92, 92, 92, 92, 17, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, - 92, 92, 92, 92, 92, 92, 92, 92, 124, 15, 15, 15, 15, 15, 15, 15, 15, - 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, - 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, - 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 92, 124, 92, 15, 124, - 124, 124, 92, 92, 92, 92, 92, 92, 92, 92, 124, 124, 124, 124, 92, 124, - 124, 15, 92, 92, 92, 92, 92, 92, 92, 15, 15, 15, 15, 15, 15, 15, 15, - 15, 15, 92, 92, 3, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 91, 15, 15, - 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 92, 124, 124, 0, - 15, 15, 15, 15, 15, 15, 15, 15, 0, 0, 15, 15, 0, 0, 15, 15, 15, 15, - 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, - 15, 0, 15, 15, 15, 15, 15, 15, 15, 0, 15, 0, 0, 0, 15, 15, 15, 15, - 0, 0, 92, 15, 124, 124, 124, 92, 92, 92, 92, 0, 0, 124, 124, 0, 0, - 124, 124, 92, 15, 0, 0, 0, 0, 0, 0, 0, 0, 124, 0, 0, 0, 0, 15, 15, - 0, 15, 15, 15, 92, 92, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 15, 15, - 4, 4, 18, 18, 18, 18, 18, 18, 14, 4, 0, 0, 0, 0, 0, 92, 92, 124, 0, - 15, 15, 15, 15, 15, 15, 0, 0, 0, 0, 15, 15, 0, 0, 15, 15, 15, 15, 15, - 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, - 0, 15, 15, 15, 15, 15, 15, 15, 0, 15, 15, 0, 15, 15, 0, 15, 15, 0, - 0, 92, 0, 124, 124, 124, 92, 92, 0, 0, 0, 0, 92, 92, 0, 0, 92, 92, - 92, 0, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, 15, 15, 15, 15, 0, 15, 0, 0, - 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 92, 92, 15, 15, 15, 92, - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 92, 92, 124, 0, 15, 15, 15, 15, 15, - 15, 15, 15, 15, 0, 15, 15, 15, 0, 15, 15, 15, 15, 15, 15, 15, 15, 15, - 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 0, 15, 15, 15, - 15, 15, 15, 15, 0, 15, 15, 0, 15, 15, 15, 15, 15, 0, 0, 92, 15, 124, - 124, 124, 92, 92, 92, 92, 92, 0, 92, 92, 124, 0, 124, 124, 92, 0, 0, - 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 15, 92, 92, 0, - 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 4, 0, 0, 0, 0, 0, 0, 0, 15, 0, - 0, 0, 0, 0, 0, 0, 92, 124, 124, 0, 15, 15, 15, 15, 15, 15, 15, 15, - 0, 0, 15, 15, 0, 0, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, - 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 0, 15, 15, 15, 15, 15, 15, - 15, 0, 15, 15, 0, 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15, 15, 15, 15, 15, 15, 15, 15, 15, 0, 0, 0, 0, 0, 0, 21, @@ -1155,229 +1163,263 @@ static const unsigned char groupMap[] = { 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 127, 18, 18, 18, 18, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, - 14, 14, 14, 18, 18, 14, 0, 0, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, - 14, 14, 14, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 14, 14, 14, 18, 18, 14, 14, 14, 0, 14, 14, 14, 14, 14, 14, 14, 14, + 14, 14, 14, 14, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, - 14, 14, 92, 0, 0, 15, 15, 15, 15, 15, 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107, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 107, 107, 0, 107, 107, 107, 107, 0, 0, + 107, 107, 107, 107, 107, 107, 107, 107, 0, 107, 107, 107, 107, 107, + 107, 107, 0, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 107, 107, 0, 107, 107, + 107, 107, 0, 107, 107, 107, 107, 107, 0, 107, 0, 0, 0, 107, 107, 107, + 107, 107, 107, 107, 0, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, - 21, 21, 21, 21, 107, 0, 107, 107, 0, 0, 107, 0, 0, 107, 107, 0, 0, - 107, 107, 107, 107, 0, 107, 107, 107, 107, 107, 107, 107, 107, 21, - 21, 21, 21, 0, 21, 0, 21, 21, 21, 21, 21, 21, 21, 0, 21, 21, 21, 21, - 21, 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21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, - 21, 21, 21, 21, 21, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, + 21, 21, 21, 21, 21, 21, 107, 107, 107, 107, 107, 107, 107, 107, 107, + 107, 107, 107, 107, 107, 107, 107, 21, 21, 21, 21, 21, 21, 0, 0, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, - 107, 107, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, - 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 107, 107, 107, 107, 107, - 107, 107, 107, 107, 107, 107, 107, 107, 107, 21, 21, 21, 21, 21, 21, - 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 107, 107, 21, 21, 21, + 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 7, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, - 21, 21, 21, 21, 21, 21, 107, 107, 107, 107, 107, 107, 107, 107, 107, + 21, 21, 21, 21, 7, 21, 21, 21, 21, 21, 21, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, - 107, 107, 107, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, - 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 107, 107, 107, - 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 21, - 21, 21, 21, 21, 21, 0, 0, 107, 107, 107, 107, 107, 107, 107, 107, 107, + 107, 107, 107, 107, 107, 107, 7, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 7, + 21, 21, 21, 21, 21, 21, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 7, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 7, 21, 21, 21, 21, 21, @@ -1388,60 +1430,62 @@ static const unsigned char groupMap[] = { 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 7, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, - 21, 21, 7, 21, 21, 21, 21, 21, 21, 107, 107, 107, 107, 107, 107, 107, - 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, - 107, 107, 107, 107, 7, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, - 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 7, 21, 21, - 21, 21, 21, 21, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, - 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, 107, - 7, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, - 21, 21, 21, 21, 21, 21, 21, 21, 21, 7, 21, 21, 21, 21, 21, 21, 107, - 21, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 21, 21, 7, 21, 21, 21, 21, 21, 21, 107, 21, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, - 9, 9, 9, 9, 9, 9, 9, 9, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, - 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 14, 14, 14, 14, 92, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, - 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14, 14, 14, 14, 14, 14, - 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 0, 0, 14, 14, 14, 14, - 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 0, 14, 14, 14, 14, 14, - 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 0, 14, 14, 14, 14, 14, 14, - 14, 14, 14, 14, 14, 14, 14, 14, 14, 18, 18, 18, 18, 18, 18, 18, 18, - 18, 18, 18, 18, 18, 0, 0, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, + 0, 196, 196, 196, 196, 196, 196, 196, 196, 196, 196, 196, 196, 196, + 196, 196, 196, 196, 196, 196, 196, 196, 196, 196, 196, 196, 196, 196, + 196, 196, 196, 196, 196, 196, 196, 197, 197, 197, 197, 197, 197, 197, + 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, + 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 92, + 92, 92, 92, 92, 92, 92, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 0, 0, 0, 0, 3, 3, 15, 15, 15, 15, 0, 15, 15, 15, 15, 15, 15, 15, 15, + 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, + 15, 15, 0, 15, 15, 0, 15, 0, 0, 15, 0, 15, 15, 15, 15, 15, 15, 15, + 15, 15, 15, 0, 15, 15, 15, 15, 0, 15, 0, 15, 0, 0, 0, 0, 0, 0, 15, + 0, 0, 0, 0, 15, 0, 15, 0, 15, 0, 15, 15, 15, 0, 15, 15, 0, 15, 0, 0, + 15, 0, 15, 0, 15, 0, 15, 0, 15, 0, 15, 15, 0, 15, 0, 0, 15, 15, 15, + 15, 0, 15, 15, 15, 15, 15, 15, 15, 0, 15, 15, 15, 15, 0, 15, 15, 15, + 15, 0, 15, 0, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 0, 15, 15, 15, + 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 0, 0, 0, 0, + 0, 15, 15, 15, 0, 15, 15, 15, 15, 15, 0, 15, 15, 15, 15, 15, 15, 15, + 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 0, 0, 0, + 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, + 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 0, 0, 14, + 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 0, 14, 14, + 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 0, 14, 14, 14, + 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 18, 18, 18, 18, 18, + 18, 18, 18, 18, 18, 18, 18, 18, 0, 0, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, - 14, 14, 14, 14, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, + 14, 14, 14, 14, 14, 14, 14, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, - 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 0, 0, 0, 0, - 0, 0, 0, 0, 0, 0, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, + 14, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, + 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, - 14, 0, 0, 0, 0, 0, 0, 0, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, - 0, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, - 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 11, 11, 11, 11, 11, 14, - 14, 14, 14, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, + 14, 14, 0, 0, 0, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, 0, 0, 0, 0, + 0, 0, 0, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, - 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 0, 0, 0, 0, - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, - 14, 14, 14, 14, 0, 0, 0, 14, 14, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 14, 14, 14, 14, 14, 14, 14, 14, 11, 11, 11, 11, 11, 14, 14, 14, 14, + 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, + 14, 14, 14, 0, 0, 0, 14, 14, 14, 14, 14, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 14, 14, 14, 14, 14, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 14, 14, 14, 14, 14, 14, @@ -1450,8 +1494,14 @@ static const unsigned char groupMap[] = { 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 14, 14, 14, 14, 14, 14, - 14, 14, 0, 0, 0, 0, 0, 0, 0, 14, 14, 14, 14, 14, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 + 14, 14, 14, 14, 14, 14, 14, 14, 0, 14, 14, 14, 14, 14, 14, 14, 14, + 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, + 14, 14, 14, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 0, 0, + 0, 0, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 0, + 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, + 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 15, 15, 15, 15, 15, + 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0 #endif /* TCL_UTF_MAX > 3 */ }; @@ -1486,15 +1536,16 @@ static const int groups[] = { 29761, 9793, 9537, 16449, 16193, 9858, 9602, 8066, 16514, 16258, 2113, 16002, 14722, 1, 12162, 13954, 2178, 22146, 20610, -1662, 29826, -15295, 24706, -1727, 20545, 7, 3905, 3970, 12353, 12418, - 8, 1859649, 9949249, 10, -9044862, -976254, 15234, -1949375, -1918, - -1983, -18814, -21886, -25470, -32638, -28542, -32126, -1981, - -2174, -18879, -2237, 1844610, -21951, -25535, -28607, -32703, - -32191, 13, 14, -1924287, -2145983, -2115007, 7233, 7298, 4170, - 4234, 6749, 6813, -2750143, -976319, -2746047, 2763650, 2762882, - -2759615, -2751679, -2760383, -2760127, -2768575, 1859714, -9044927, - -10823615, -10830783, -10833599, -10832575, -10830015, -10817983, - -10824127, -10818751, 237633, 237698, 9949314, 18, 17, 10305, - 10370 + 8, 1859649, 9949249, 10, 1601154, 1600898, 1598594, 1598082, 1598338, + 1596546, 1582466, -9027966, -9044862, -976254, 15234, -1949375, + -1918, -1983, -18814, -21886, -25470, -32638, -28542, -32126, + -1981, -2174, -18879, -2237, 1844610, -21951, -25535, -28607, + -32703, -32191, 13, 14, -1924287, -2145983, -2115007, 7233, 7298, + 4170, 4234, 6749, 6813, -2750143, -976319, -2746047, 2763650, + 2762882, -2759615, -2751679, -2760383, -2760127, -2768575, 1859714, + -9044927, -10823615, -10830783, -10833599, -10832575, -10830015, + -10817983, -10824127, -10818751, 237633, 237698, 9949314, 18, + 17, 10305, 10370, 8769, 8834 }; #if TCL_UTF_MAX > 3 -- cgit v0.12 From fa0cec87e3c5670b11c89aef1aba30201a22ea43 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 21 Jun 2016 11:10:10 +0000 Subject: Repair earlier bug fix. Stopped crash, but botched the logic for multiple glob patterns. --- generic/tclFileName.c | 1 + 1 file changed, 1 insertion(+) diff --git a/generic/tclFileName.c b/generic/tclFileName.c index bf463f5..2136883 100644 --- a/generic/tclFileName.c +++ b/generic/tclFileName.c @@ -1597,6 +1597,7 @@ Tcl_GlobObjCmd( Tcl_DStringInit(&str); for (i = 0; i < objc; i++) { + Tcl_DStringSetLength(&str, 0); if (dir == PATH_GENERAL) { TclDStringAppendDString(&str, &prefix); } -- cgit v0.12 From f37d8b3d6914b1f9637faf57175429443591e0ef Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 22 Jun 2016 17:38:31 +0000 Subject: [16896d49fd] Tcl_DStrings should tolerate appends to self. --- generic/tclUtil.c | 24 ++++++++++++++++++++++++ 1 file changed, 24 insertions(+) diff --git a/generic/tclUtil.c b/generic/tclUtil.c index bc1490e..34d4be2 100644 --- a/generic/tclUtil.c +++ b/generic/tclUtil.c @@ -2431,8 +2431,20 @@ Tcl_DStringAppend( memcpy(newString, dsPtr->string, (size_t) dsPtr->length); dsPtr->string = newString; } else { + int offset = -1; + + /* See [16896d49fd] */ + if (bytes >= dsPtr->string + && bytes <= dsPtr->string + dsPtr->length) { + offset = bytes - dsPtr->string; + } + dsPtr->string = ckrealloc((void *) dsPtr->string, (size_t) dsPtr->spaceAvl); + + if (offset >= 0) { + bytes = dsPtr->string + offset; + } } } @@ -2495,8 +2507,20 @@ Tcl_DStringAppendElement( memcpy(newString, dsPtr->string, (size_t) dsPtr->length); dsPtr->string = newString; } else { + int offset = -1; + + /* See [16896d49fd] */ + if (element >= dsPtr->string + && element <= dsPtr->string + dsPtr->length) { + offset = element - dsPtr->string; + } + dsPtr->string = (char *) ckrealloc((void *) dsPtr->string, (size_t) dsPtr->spaceAvl); + + if (offset >= 0) { + element = dsPtr->string + offset; + } } dst = dsPtr->string + dsPtr->length; } -- cgit v0.12 From 23df0f8727cefc64cb5b4a6c7a3af518d16fbd7c Mon Sep 17 00:00:00 2001 From: dkf Date: Wed, 22 Jun 2016 20:57:18 +0000 Subject: [c95b9fc0e3] Make errorcodes out of level parsing more consistent. --- generic/tclCmdIL.c | 4 ++-- generic/tclProc.c | 2 +- generic/tclVar.c | 3 ++- 3 files changed, 5 insertions(+), 4 deletions(-) diff --git a/generic/tclCmdIL.c b/generic/tclCmdIL.c index 0d35397..c93e593 100644 --- a/generic/tclCmdIL.c +++ b/generic/tclCmdIL.c @@ -1203,7 +1203,7 @@ InfoFrameCmd( levelError: Tcl_SetObjResult(interp, Tcl_ObjPrintf( "bad level \"%s\"", TclGetString(objv[1]))); - Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "STACK_FRAME", + Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "LEVEL", TclGetString(objv[1]), NULL); code = TCL_ERROR; goto done; @@ -1638,7 +1638,7 @@ InfoLevelCmd( levelError: Tcl_SetObjResult(interp, Tcl_ObjPrintf( "bad level \"%s\"", TclGetString(objv[1]))); - Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "STACK_LEVEL", + Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "LEVEL", TclGetString(objv[1]), NULL); return TCL_ERROR; } diff --git a/generic/tclProc.c b/generic/tclProc.c index 172b860..e8c5955 100644 --- a/generic/tclProc.c +++ b/generic/tclProc.c @@ -870,7 +870,7 @@ TclObjGetFrame( } Tcl_SetObjResult(interp, Tcl_ObjPrintf("bad level \"%s\"", name)); - Tcl_SetErrorCode(interp, "TCL", "VALUE", "STACKLEVEL", NULL); + Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "LEVEL", name, NULL); return -1; } diff --git a/generic/tclVar.c b/generic/tclVar.c index 5574f30..51e2482 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -4938,7 +4938,8 @@ Tcl_UpvarObjCmd( Tcl_SetObjResult(interp, Tcl_ObjPrintf( "bad level \"%s\"", TclGetString(levelObj))); - Tcl_SetErrorCode(interp, "TCL", "VALUE", "LEVEL", NULL); + Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "LEVEL", + TclGetString(levelObj), NULL); return TCL_ERROR; } -- cgit v0.12 From 6a513d71d369eed56569ff3bf3e05c4f80c2ccae Mon Sep 17 00:00:00 2001 From: dkf Date: Thu, 23 Jun 2016 08:20:16 +0000 Subject: [d553228d9f] Stop crashes in [dict update] with low refcount dictionaries. --- generic/tclExecute.c | 4 ++++ tests/dict.test | 7 +++++++ 2 files changed, 11 insertions(+) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index d4077f5..38924c6 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -7706,6 +7706,7 @@ TEBCresume( goto gotError; } } + Tcl_IncrRefCount(dictPtr); if (TclListObjGetElements(interp, OBJ_AT_TOS, &length, &keyPtrPtr) != TCL_OK) { TRACE_ERROR(interp); @@ -7718,6 +7719,7 @@ TEBCresume( if (Tcl_DictObjGet(interp, dictPtr, keyPtrPtr[i], &valuePtr) != TCL_OK) { TRACE_ERROR(interp); + Tcl_DecrRefCount(dictPtr); goto gotError; } varPtr = LOCAL(duiPtr->varIndices[i]); @@ -7734,10 +7736,12 @@ TEBCresume( duiPtr->varIndices[i]) == NULL) { CACHE_STACK_INFO(); TRACE_ERROR(interp); + Tcl_DecrRefCount(dictPtr); goto gotError; } CACHE_STACK_INFO(); } + TclDecrRefCount(dictPtr); TRACE_APPEND(("OK\n")); NEXT_INST_F(9, 0, 0); diff --git a/tests/dict.test b/tests/dict.test index d5406d0..a6b0cb4 100644 --- a/tests/dict.test +++ b/tests/dict.test @@ -2048,6 +2048,13 @@ test dict-24.25 {dict map with huge dict (compiled)} { }} 100000 } 166666666600000 +test dict-25.1 {compiled dict update with low-refcount values [Bug d553228d9f]} { + # Test crashes on failure + apply {{} { + lassign {} item + dict update item item item two two {} + }} +} {} # cleanup ::tcltest::cleanupTests -- cgit v0.12 From 94c255833358445b9edae73af1ffbe1cc2c8ab42 Mon Sep 17 00:00:00 2001 From: max Date: Fri, 24 Jun 2016 16:40:30 +0000 Subject: [c30087b04f] Install man pages with permissions 644 instead of 444. --- unix/installManPage | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/unix/installManPage b/unix/installManPage index 4d615bf..1f1cbde 100755 --- a/unix/installManPage +++ b/unix/installManPage @@ -106,7 +106,7 @@ for Target in $Names; do First=$Target sed -e "/man\.macros/r $SrcDir/man.macros" -e "/man\.macros/d" \ $ManPage > $Dir/$First - chmod 444 $Dir/$First + chmod 644 $Dir/$First $Gzip $Dir/$First else ln $SymOrLoc$First$Gz $Dir/$Target$Gz -- cgit v0.12 From 2bd38cb7b01df731a4090c6a0f82d33cec5c2ad3 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Sun, 26 Jun 2016 09:00:06 +0000 Subject: (cherry-pick) [c30087b04f] Install man pages with permissions 644 instead of 444. --- unix/installManPage | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/unix/installManPage b/unix/installManPage index 4d615bf..1f1cbde 100755 --- a/unix/installManPage +++ b/unix/installManPage @@ -106,7 +106,7 @@ for Target in $Names; do First=$Target sed -e "/man\.macros/r $SrcDir/man.macros" -e "/man\.macros/d" \ $ManPage > $Dir/$First - chmod 444 $Dir/$First + chmod 644 $Dir/$First $Gzip $Dir/$First else ln $SymOrLoc$First$Gz $Dir/$Target$Gz -- cgit v0.12 From e11daf6fb666f377464fdedddde9126ba31658d7 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Sun, 26 Jun 2016 09:01:26 +0000 Subject: (cherry-pick) [c30087b04f] Install man pages with permissions 644 instead of 444. --- unix/installManPage | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/unix/installManPage b/unix/installManPage index 6bdccf0..1dbd232 100755 --- a/unix/installManPage +++ b/unix/installManPage @@ -105,7 +105,7 @@ for Target in $Names; do First=$Target sed -e "/man\.macros/r $SrcDir/man.macros" -e "/man\.macros/d" \ $ManPage > $Dir/$First - chmod 444 $Dir/$First + chmod 644 $Dir/$First $Gzip $Dir/$First else ln $SymOrLoc$First$Gz $Dir/$Target$Gz -- cgit v0.12 From 179f28ba4605cb66cd358eb8d6d57b42e7bf5bb9 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Sun, 26 Jun 2016 09:03:08 +0000 Subject: Add TCL_NOINLINE macro, useful for micro-optimizations --- generic/tcl.h | 3 +++ 1 file changed, 3 insertions(+) diff --git a/generic/tcl.h b/generic/tcl.h index 3cd90a9..be40368 100644 --- a/generic/tcl.h +++ b/generic/tcl.h @@ -144,6 +144,7 @@ extern "C" { #if defined(__GNUC__) && (__GNUC__ > 2) # define TCL_FORMAT_PRINTF(a,b) __attribute__ ((__format__ (__printf__, a, b))) # define TCL_NORETURN __attribute__ ((noreturn)) +# define TCL_NOINLINE __attribute__ ((noinline)) # if defined(BUILD_tcl) || defined(BUILD_tk) # define TCL_NORETURN1 __attribute__ ((noreturn)) # else @@ -153,8 +154,10 @@ extern "C" { # define TCL_FORMAT_PRINTF(a,b) # if defined(_MSC_VER) && (_MSC_VER >= 1310) # define TCL_NORETURN _declspec(noreturn) +# define TCL_NOINLINE __declspec(noinline) # else # define TCL_NORETURN /* nothing */ +# define TCL_NOINLINE /* nothing */ # endif # define TCL_NORETURN1 /* nothing */ #endif -- cgit v0.12 From a7534bc7ed966b9b399e86be1c6cc2004baf379c Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 27 Jun 2016 10:22:30 +0000 Subject: Make TCL_MAJOR_VERSION/TCL_MINOR_VERSION/TCL_STUB_MAGIC available to Tcl_InitStubs() arguments. Useful for debugging and detection of stub incompatibilities (e.g. for Tcl9) --- generic/tcl.h | 19 +++++++++---------- generic/tclPkg.c | 2 +- generic/tclStubLib.c | 20 +++++++++----------- 3 files changed, 19 insertions(+), 22 deletions(-) diff --git a/generic/tcl.h b/generic/tcl.h index be40368..6061ea8 100644 --- a/generic/tcl.h +++ b/generic/tcl.h @@ -2377,9 +2377,6 @@ typedef int (Tcl_NRPostProc) (ClientData data[], Tcl_Interp *interp, *---------------------------------------------------------------------------- * The following constant is used to test for older versions of Tcl in the * stubs tables. - * - * Jan Nijtman's plus patch uses 0xFCA1BACF, so we need to pick a different - * value since the stubs tables don't match. */ #define TCL_STUB_MAGIC ((int) 0xFCA3BACF) @@ -2392,17 +2389,19 @@ typedef int (Tcl_NRPostProc) (ClientData data[], Tcl_Interp *interp, */ const char * Tcl_InitStubs(Tcl_Interp *interp, const char *version, - int exact); + int exact, int magic); const char * TclTomMathInitializeStubs(Tcl_Interp *interp, const char *version, int epoch, int revision); -/* - * When not using stubs, make it a macro. - */ - -#ifndef USE_TCL_STUBS +#ifdef USE_TCL_STUBS +#define Tcl_InitStubs(interp, version, exact) \ + (Tcl_InitStubs)(interp, version, \ + (exact)|(TCL_MAJOR_VERSION<<8)|(TCL_MINOR_VERSION<<16), \ + TCL_STUB_MAGIC) +#else #define Tcl_InitStubs(interp, version, exact) \ - Tcl_PkgInitStubsCheck(interp, version, exact) + Tcl_PkgInitStubsCheck(interp, version, \ + (exact)|(TCL_MAJOR_VERSION<<8)|(TCL_MINOR_VERSION<<16)) #endif /* diff --git a/generic/tclPkg.c b/generic/tclPkg.c index f6e8b20..86777a8 100644 --- a/generic/tclPkg.c +++ b/generic/tclPkg.c @@ -1895,7 +1895,7 @@ Tcl_PkgInitStubsCheck( { const char *actualVersion = Tcl_PkgPresent(interp, "Tcl", version, 0); - if (exact && actualVersion) { + if ((exact&1) && actualVersion) { const char *p = version; int count = 0; diff --git a/generic/tclStubLib.c b/generic/tclStubLib.c index 859cbf9..afabdca 100644 --- a/generic/tclStubLib.c +++ b/generic/tclStubLib.c @@ -24,13 +24,10 @@ const TclIntStubs *tclIntStubsPtr = NULL; const TclIntPlatStubs *tclIntPlatStubsPtr = NULL; /* - * Use our own isDigit to avoid linking to libc on windows + * Use our own ISDIGIT to avoid linking to libc on windows */ -static int isDigit(const int c) -{ - return (c >= '0' && c <= '9'); -} +#define ISDIGIT(c) (((unsigned)((c)-'0')) <= 9) /* *---------------------------------------------------------------------- @@ -54,7 +51,8 @@ MODULE_SCOPE const char * Tcl_InitStubs( Tcl_Interp *interp, const char *version, - int exact) + int exact, + int magic) { Interp *iPtr = (Interp *) interp; const char *actualVersion = NULL; @@ -67,8 +65,8 @@ Tcl_InitStubs( * times. [Bug 615304] */ - if (!stubsPtr || (stubsPtr->magic != TCL_STUB_MAGIC)) { - iPtr->result = "interpreter uses an incompatible stubs mechanism"; + if (!stubsPtr || (stubsPtr->magic != (((exact&0xff00) >= 0x900) ? magic : TCL_STUB_MAGIC))) { + iPtr->result = (char *)"interpreter uses an incompatible stubs mechanism"; iPtr->freeProc = TCL_STATIC; return NULL; } @@ -77,12 +75,12 @@ Tcl_InitStubs( if (actualVersion == NULL) { return NULL; } - if (exact) { + if (exact&1) { const char *p = version; int count = 0; while (*p) { - count += !isDigit(*p++); + count += !ISDIGIT(*p++); } if (count == 1) { const char *q = actualVersion; @@ -91,7 +89,7 @@ Tcl_InitStubs( while (*p && (*p == *q)) { p++; q++; } - if (*p || isDigit(*q)) { + if (*p || ISDIGIT(*q)) { /* Construct error message */ stubsPtr->tcl_PkgRequireEx(interp, "Tcl", version, 1, NULL); return NULL; -- cgit v0.12 From 039129beee818bb0aa8a756e09cb8a1b3ac68f49 Mon Sep 17 00:00:00 2001 From: dkf Date: Mon, 27 Jun 2016 13:44:40 +0000 Subject: [c3d956be5b] Clearer text about positioning of optional arguments. --- doc/proc.n | 28 +++++++++++++++++++++++----- 1 file changed, 23 insertions(+), 5 deletions(-) diff --git a/doc/proc.n b/doc/proc.n index 129f4df..fdccaca 100644 --- a/doc/proc.n +++ b/doc/proc.n @@ -34,8 +34,9 @@ one or two fields. If there is only a single field in the specifier then it is the name of the argument; if there are two fields, then the first is the argument name and the second is its default value. Arguments with default values that are followed by non-defaulted -arguments become required arguments. In 8.6 this will be considered an -error. +arguments become required arguments; enough actual arguments must be +supplied to allow all arguments up to and including the last required +formal argument. .PP When \fIname\fR is invoked a local variable will be created for each of the formal arguments to the procedure; its @@ -48,11 +49,14 @@ actual arguments for all the formal arguments that do not have defaults, and there must not be any extra actual arguments. Arguments with default values that are followed by non-defaulted -arguments become required arguments (in 8.6 it will be considered an -error). +arguments become de-facto required arguments, though this may change +in a future version of Tcl; portable code should ensure that all +optional arguments come after all required arguments. +.PP There is one special case to permit procedures with variable numbers of arguments. If the last formal argument has the name -\fBargs\fR, then a call to the procedure may contain more actual arguments +.QW \fBargs\fR , +then a call to the procedure may contain more actual arguments than the procedure has formal arguments. In this case, all of the actual arguments starting at the one that would be assigned to \fBargs\fR are combined into a list (as if the \fBlist\fR command had been used); this combined value @@ -80,6 +84,20 @@ If an error occurs while executing the procedure body, then the procedure-as-a-whole will return that same error. .SH EXAMPLES .PP +This is a procedure that takes two arguments and prints both their sum +and their product. It also returns the string +.QW OK +to the caller as an explicit result. +.PP +.CS +\fBproc\fR printSumProduct {x y} { + set sum [expr {$x + $y}] + set prod [expr {$x * $y}] + puts "sum is $sum, product is $prod" + return "OK" +} +.CE +.PP This is a procedure that accepts arbitrarily many arguments and prints them out, one by one. .PP -- cgit v0.12 From 2d4bd7bd8e4bc730323dccbc6b659954f3d1341c Mon Sep 17 00:00:00 2001 From: dkf Date: Mon, 27 Jun 2016 13:46:15 +0000 Subject: [c3d956be5b] Clearer text about positioning of optional arguments. --- doc/proc.n | 28 +++++++++++++++++++++++----- 1 file changed, 23 insertions(+), 5 deletions(-) diff --git a/doc/proc.n b/doc/proc.n index 129f4df..fdccaca 100644 --- a/doc/proc.n +++ b/doc/proc.n @@ -34,8 +34,9 @@ one or two fields. If there is only a single field in the specifier then it is the name of the argument; if there are two fields, then the first is the argument name and the second is its default value. Arguments with default values that are followed by non-defaulted -arguments become required arguments. In 8.6 this will be considered an -error. +arguments become required arguments; enough actual arguments must be +supplied to allow all arguments up to and including the last required +formal argument. .PP When \fIname\fR is invoked a local variable will be created for each of the formal arguments to the procedure; its @@ -48,11 +49,14 @@ actual arguments for all the formal arguments that do not have defaults, and there must not be any extra actual arguments. Arguments with default values that are followed by non-defaulted -arguments become required arguments (in 8.6 it will be considered an -error). +arguments become de-facto required arguments, though this may change +in a future version of Tcl; portable code should ensure that all +optional arguments come after all required arguments. +.PP There is one special case to permit procedures with variable numbers of arguments. If the last formal argument has the name -\fBargs\fR, then a call to the procedure may contain more actual arguments +.QW \fBargs\fR , +then a call to the procedure may contain more actual arguments than the procedure has formal arguments. In this case, all of the actual arguments starting at the one that would be assigned to \fBargs\fR are combined into a list (as if the \fBlist\fR command had been used); this combined value @@ -80,6 +84,20 @@ If an error occurs while executing the procedure body, then the procedure-as-a-whole will return that same error. .SH EXAMPLES .PP +This is a procedure that takes two arguments and prints both their sum +and their product. It also returns the string +.QW OK +to the caller as an explicit result. +.PP +.CS +\fBproc\fR printSumProduct {x y} { + set sum [expr {$x + $y}] + set prod [expr {$x * $y}] + puts "sum is $sum, product is $prod" + return "OK" +} +.CE +.PP This is a procedure that accepts arbitrarily many arguments and prints them out, one by one. .PP -- cgit v0.12 From 2453f30fb9e0fd71b6fc37ef6df3385f2efaf6d5 Mon Sep 17 00:00:00 2001 From: dkf Date: Mon, 27 Jun 2016 14:27:43 +0000 Subject: [dd260aaf72] Allow the -dictionary option to be read from a pushed transform. --- doc/zlib.n | 18 ++++++++++++------ generic/tclZlib.c | 36 +++++++++++++++--------------------- tests/zlib.test | 20 ++++++++++++++++++++ 3 files changed, 47 insertions(+), 27 deletions(-) diff --git a/doc/zlib.n b/doc/zlib.n index 9f3078d..fd29e0d 100644 --- a/doc/zlib.n +++ b/doc/zlib.n @@ -174,7 +174,11 @@ to the \fBzlib push\fR command: .VS "TIP 400" Sets the compression dictionary to use when working with compressing or decompressing the data to be \fIbinData\fR. Not valid for transformations that -work with gzip-format data. +work with gzip-format data. The dictionary should consist of strings (byte +sequences) that are likely to be encountered later in the data to be compressed, +with the most commonly used strings preferably put towards the end of the +dictionary. Tcl provides no mechanism for choosing a good such dictionary for +a particular data sequence. .VE .TP \fB\-header\fI dictionary\fR @@ -207,11 +211,13 @@ compression algorithm depends on what format is being produced or consumed. .TP \fB\-dictionary\fI binData\fR .VS "TIP 400" -This read-write options gets or sets the compression dictionary to use when -working with compressing or decompressing the data to be \fIbinData\fR. It is -not valid for transformations that work with gzip-format data, and should not -normally be set on compressing transformations other than at the point where -the transformation is stacked. +This read-write options gets or sets the initial compression dictionary to use +when working with compressing or decompressing the data to be \fIbinData\fR. +It is not valid for transformations that work with gzip-format data, and should +not normally be set on compressing transformations other than at the point where +the transformation is stacked. Note that this cannot be used to get the +current active compression dictionary mid-stream, as that information is not +exposed by the underlying library. .VE .TP \fB\-flush\fI type\fR diff --git a/generic/tclZlib.c b/generic/tclZlib.c index 691d57a..dac47cf 100644 --- a/generic/tclZlib.c +++ b/generic/tclZlib.c @@ -2906,9 +2906,9 @@ ZlibTransformClose( } } } while (e != Z_STREAM_END); - e = deflateEnd(&cd->outStream); + (void) deflateEnd(&cd->outStream); } else { - e = inflateEnd(&cd->inStream); + (void) inflateEnd(&cd->inStream); } /* @@ -3344,10 +3344,13 @@ ZlibTransformGetOption( Tcl_DStringAppendElement(dsPtr, ""); } } else { - int len; - const char *str = Tcl_GetStringFromObj(cd->compDictObj, &len); + if (cd->compDictObj) { + int len; + const char *str = Tcl_GetStringFromObj(cd->compDictObj, &len); - Tcl_DStringAppend(dsPtr, str, len); + Tcl_DStringAppend(dsPtr, str, len); + } + return TCL_OK; } } @@ -3549,7 +3552,6 @@ ZlibStackChannelTransform( ZlibChannelData *cd = ckalloc(sizeof(ZlibChannelData)); Tcl_Channel chan; int wbits = 0; - int e; if (mode != TCL_ZLIB_STREAM_DEFLATE && mode != TCL_ZLIB_STREAM_INFLATE) { Tcl_Panic("unknown mode: %d", mode); @@ -3603,43 +3605,35 @@ ZlibStackChannelTransform( */ if (mode == TCL_ZLIB_STREAM_INFLATE) { - e = inflateInit2(&cd->inStream, wbits); - if (e != Z_OK) { + if (inflateInit2(&cd->inStream, wbits) != Z_OK) { goto error; } cd->inAllocated = DEFAULT_BUFFER_SIZE; cd->inBuffer = ckalloc(cd->inAllocated); if (cd->flags & IN_HEADER) { - e = inflateGetHeader(&cd->inStream, &cd->inHeader.header); - if (e != Z_OK) { + if (inflateGetHeader(&cd->inStream, &cd->inHeader.header) != Z_OK) { goto error; } } if (cd->format == TCL_ZLIB_FORMAT_RAW && cd->compDictObj) { - e = SetInflateDictionary(&cd->inStream, cd->compDictObj); - if (e != Z_OK) { + if (SetInflateDictionary(&cd->inStream, cd->compDictObj) != Z_OK) { goto error; } - TclDecrRefCount(cd->compDictObj); - cd->compDictObj = NULL; } } else { - e = deflateInit2(&cd->outStream, level, Z_DEFLATED, wbits, - MAX_MEM_LEVEL, Z_DEFAULT_STRATEGY); - if (e != Z_OK) { + if (deflateInit2(&cd->outStream, level, Z_DEFLATED, wbits, + MAX_MEM_LEVEL, Z_DEFAULT_STRATEGY) != Z_OK) { goto error; } cd->outAllocated = DEFAULT_BUFFER_SIZE; cd->outBuffer = ckalloc(cd->outAllocated); if (cd->flags & OUT_HEADER) { - e = deflateSetHeader(&cd->outStream, &cd->outHeader.header); - if (e != Z_OK) { + if (deflateSetHeader(&cd->outStream, &cd->outHeader.header) != Z_OK) { goto error; } } if (cd->compDictObj) { - e = SetDeflateDictionary(&cd->outStream, cd->compDictObj); - if (e != Z_OK) { + if (SetDeflateDictionary(&cd->outStream, cd->compDictObj) != Z_OK) { goto error; } } diff --git a/tests/zlib.test b/tests/zlib.test index 968469d..c9e5f10 100644 --- a/tests/zlib.test +++ b/tests/zlib.test @@ -401,6 +401,26 @@ test zlib-8.16 {Bug 3603553: buffer transfer with large writes} -setup { } -cleanup { removeFile $file } -result 57647 +test zlib-8.17 {Bug dd260aaf: fconfigure} -setup { + lassign [chan pipe] inSide outSide +} -constraints zlib -body { + zlib push inflate $inSide + zlib push deflate $outSide + list [chan configure $inSide -dictionary] [chan configure $outSide -dictionary] +} -cleanup { + catch {close $inSide} + catch {close $outSide} +} -result {{} {}} +test zlib-8.18 {Bug dd260aaf: fconfigure} -setup { + lassign [chan pipe] inSide outSide +} -constraints zlib -body { + zlib push inflate $inSide -dictionary "one two" + zlib push deflate $outSide -dictionary "one two" + list [chan configure $inSide -dictionary] [chan configure $outSide -dictionary] +} -cleanup { + catch {close $inSide} + catch {close $outSide} +} -result {{one two} {one two}} test zlib-9.1 "check fcopy with push" -constraints zlib -setup { set sfile [makeFile {} testsrc.gz] -- cgit v0.12 From c26fe8498a889a3a9e71f9502848e4db08dcb072 Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 27 Jun 2016 15:16:04 +0000 Subject: Streamline comment parsing. --- generic/tclParse.c | 67 +++++++++++++++++++++++++++--------------------------- 1 file changed, 33 insertions(+), 34 deletions(-) diff --git a/generic/tclParse.c b/generic/tclParse.c index 95abc45..4974c87 100644 --- a/generic/tclParse.c +++ b/generic/tclParse.c @@ -167,6 +167,8 @@ static int ParseTokens(const char *src, int numBytes, int mask, int flags, Tcl_Parse *parsePtr); static int ParseWhiteSpace(const char *src, int numBytes, int *incompletePtr, char *typePtr); +static int ParseAllWhiteSpace(const char *src, int numBytes, + int *incompletePtr); /* *---------------------------------------------------------------------- @@ -733,23 +735,32 @@ ParseWhiteSpace( *---------------------------------------------------------------------- */ -int -TclParseAllWhiteSpace( +static int +ParseAllWhiteSpace( const char *src, /* First character to parse. */ - int numBytes) /* Max number of byes to scan */ + int numBytes, /* Max number of byes to scan */ + int *incompletePtr) /* Set true if parse is incomplete. */ { - int dummy; char type; const char *p = src; do { - int scanned = ParseWhiteSpace(p, numBytes, &dummy, &type); + int scanned = ParseWhiteSpace(p, numBytes, incompletePtr, &type); p += scanned; numBytes -= scanned; } while (numBytes && (*p == '\n') && (p++, --numBytes)); return (p-src); } + +int +TclParseAllWhiteSpace( + const char *src, /* First character to parse. */ + int numBytes) /* Max number of byes to scan */ +{ + int dummy; + return ParseAllWhiteSpace(src, numBytes, &dummy); +} /* *---------------------------------------------------------------------- @@ -1021,17 +1032,12 @@ ParseComment( * command. */ { register const char *p = src; + int incomplete = parsePtr->incomplete; while (numBytes) { - char type; - int scanned; - - do { - scanned = ParseWhiteSpace(p, numBytes, - &parsePtr->incomplete, &type); - p += scanned; - numBytes -= scanned; - } while (numBytes && (*p == '\n') && (p++,numBytes--)); + int scanned = ParseAllWhiteSpace(p, numBytes, &incomplete); + p += scanned; + numBytes -= scanned; if ((numBytes == 0) || (*p != '#')) { break; @@ -1039,36 +1045,29 @@ ParseComment( if (parsePtr->commentStart == NULL) { parsePtr->commentStart = p; } - + + p++; + numBytes--; while (numBytes) { + if (*p == '\n') { + p++; + numBytes--; + break; + } if (*p == '\\') { - scanned = ParseWhiteSpace(p, numBytes, &parsePtr->incomplete, - &type); - if (scanned) { - p += scanned; - numBytes -= scanned; - } else { - /* - * General backslash substitution in comments isn't part - * of the formal spec, but test parse-15.47 and history - * indicate that it has been the de facto rule. Don't - * change it now. - */ - - TclParseBackslash(p, numBytes, &scanned, NULL); - p += scanned; - numBytes -= scanned; - } - } else { p++; numBytes--; - if (p[-1] == '\n') { + if (numBytes == 0) { break; } } + incomplete = (*p == '\n'); + p++; + numBytes--; } parsePtr->commentSize = p - parsePtr->commentStart; } + parsePtr->incomplete = incomplete; return (p - src); } -- cgit v0.12 From 40d07325fd099e39c32596c89888f080b1a7a307 Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 27 Jun 2016 19:01:34 +0000 Subject: Stop parsing white space where there cannot be any. --- generic/tclParse.c | 69 ++++++++++++++++++++++-------------------------------- 1 file changed, 28 insertions(+), 41 deletions(-) diff --git a/generic/tclParse.c b/generic/tclParse.c index 4974c87..3372318 100644 --- a/generic/tclParse.c +++ b/generic/tclParse.c @@ -294,12 +294,18 @@ Tcl_ParseCommand( } } + /* Jump to where we check for command termination */ + + parsePtr->commandStart = src; + type = CHAR_TYPE(*src); + scanned = 1; + goto start; + /* * The following loop parses the words of the command, one word in each * iteration through the loop. */ - parsePtr->commandStart = src; while (1) { int expandWord = 0; @@ -312,23 +318,6 @@ Tcl_ParseCommand( tokenPtr = &parsePtr->tokenPtr[wordIndex]; tokenPtr->type = TCL_TOKEN_WORD; - /* - * Skip white space before the word. Also skip a backslash-newline - * sequence: it should be treated just like white space. - */ - - scanned = ParseWhiteSpace(src,numBytes, &parsePtr->incomplete, &type); - src += scanned; - numBytes -= scanned; - if (numBytes == 0) { - parsePtr->term = src; - break; - } - if ((type & terminators) != 0) { - parsePtr->term = src; - src++; - break; - } tokenPtr->start = src; parsePtr->numTokens++; parsePtr->numWords++; @@ -555,12 +544,10 @@ Tcl_ParseCommand( */ scanned = ParseWhiteSpace(src,numBytes, &parsePtr->incomplete, &type); - if (scanned) { - src += scanned; - numBytes -= scanned; - continue; - } + src += scanned; + numBytes -= scanned; + start: if (numBytes == 0) { parsePtr->term = src; break; @@ -570,30 +557,30 @@ Tcl_ParseCommand( src++; break; } - if (src[-1] == '"') { - if (interp != NULL) { - Tcl_SetObjResult(interp, Tcl_NewStringObj( - "extra characters after close-quote", -1)); - } - parsePtr->errorType = TCL_PARSE_QUOTE_EXTRA; - } else { - if (interp != NULL) { - Tcl_SetObjResult(interp, Tcl_NewStringObj( - "extra characters after close-brace", -1)); + if (scanned == 0) { + if (src[-1] == '"') { + if (interp != NULL) { + Tcl_SetObjResult(interp, Tcl_NewStringObj( + "extra characters after close-quote", -1)); + } + parsePtr->errorType = TCL_PARSE_QUOTE_EXTRA; + } else { + if (interp != NULL) { + Tcl_SetObjResult(interp, Tcl_NewStringObj( + "extra characters after close-brace", -1)); + } + parsePtr->errorType = TCL_PARSE_BRACE_EXTRA; } - parsePtr->errorType = TCL_PARSE_BRACE_EXTRA; + parsePtr->term = src; + error: + Tcl_FreeParse(parsePtr); + parsePtr->commandSize = parsePtr->end - parsePtr->commandStart; + return TCL_ERROR; } - parsePtr->term = src; - goto error; } parsePtr->commandSize = src - parsePtr->commandStart; return TCL_OK; - - error: - Tcl_FreeParse(parsePtr); - parsePtr->commandSize = parsePtr->end - parsePtr->commandStart; - return TCL_ERROR; } /* -- cgit v0.12 From 00357e27055dd3b3dcc2b853833731d6db76c137 Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 27 Jun 2016 20:29:46 +0000 Subject: Re-order loop for fewer gotos. --- generic/tclParse.c | 82 ++++++++++++++++++++++++------------------------------ 1 file changed, 36 insertions(+), 46 deletions(-) diff --git a/generic/tclParse.c b/generic/tclParse.c index 3372318..568024b 100644 --- a/generic/tclParse.c +++ b/generic/tclParse.c @@ -294,21 +294,49 @@ Tcl_ParseCommand( } } - /* Jump to where we check for command termination */ - - parsePtr->commandStart = src; - type = CHAR_TYPE(*src); - scanned = 1; - goto start; - /* * The following loop parses the words of the command, one word in each * iteration through the loop. */ + parsePtr->commandStart = src; + type = CHAR_TYPE(*src); + scanned = 1; /* Can't have missing whitepsace before first word. */ while (1) { int expandWord = 0; + /* Are we at command termination? */ + + if ((numBytes == 0) || (type & terminators) != 0) { + parsePtr->term = src; + parsePtr->commandSize = src + (numBytes != 0) + - parsePtr->commandStart; + return TCL_OK; + } + + /* Are we missing white space after previous word? */ + + if (scanned == 0) { + if (src[-1] == '"') { + if (interp != NULL) { + Tcl_SetObjResult(interp, Tcl_NewStringObj( + "extra characters after close-quote", -1)); + } + parsePtr->errorType = TCL_PARSE_QUOTE_EXTRA; + } else { + if (interp != NULL) { + Tcl_SetObjResult(interp, Tcl_NewStringObj( + "extra characters after close-brace", -1)); + } + parsePtr->errorType = TCL_PARSE_BRACE_EXTRA; + } + parsePtr->term = src; + error: + Tcl_FreeParse(parsePtr); + parsePtr->commandSize = parsePtr->end - parsePtr->commandStart; + return TCL_ERROR; + } + /* * Create the token for the word. */ @@ -537,50 +565,12 @@ Tcl_ParseCommand( tokenPtr->type = TCL_TOKEN_SIMPLE_WORD; } - /* - * Do two additional checks: (a) make sure we're really at the end of - * a word (there might have been garbage left after a quoted or braced - * word), and (b) check for the end of the command. - */ + /* Parse the whitespace between words. */ scanned = ParseWhiteSpace(src,numBytes, &parsePtr->incomplete, &type); src += scanned; numBytes -= scanned; - - start: - if (numBytes == 0) { - parsePtr->term = src; - break; - } - if ((type & terminators) != 0) { - parsePtr->term = src; - src++; - break; - } - if (scanned == 0) { - if (src[-1] == '"') { - if (interp != NULL) { - Tcl_SetObjResult(interp, Tcl_NewStringObj( - "extra characters after close-quote", -1)); - } - parsePtr->errorType = TCL_PARSE_QUOTE_EXTRA; - } else { - if (interp != NULL) { - Tcl_SetObjResult(interp, Tcl_NewStringObj( - "extra characters after close-brace", -1)); - } - parsePtr->errorType = TCL_PARSE_BRACE_EXTRA; - } - parsePtr->term = src; - error: - Tcl_FreeParse(parsePtr); - parsePtr->commandSize = parsePtr->end - parsePtr->commandStart; - return TCL_ERROR; - } } - - parsePtr->commandSize = src - parsePtr->commandStart; - return TCL_OK; } /* -- cgit v0.12 From b2522c9c24b283a616ac38c4c987827c4fa86167 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 29 Jun 2016 11:39:00 +0000 Subject: Tcl_SetVar -> Tcl_SetVar2 and comparable replacements, eliminating functions which are deprecated. --- .fossil-settings/ignore-glob | 2 ++ doc/AddErrInfo.3 | 2 +- generic/tclBasic.c | 8 ++++---- generic/tclCmdIL.c | 4 ++-- generic/tclIOSock.c | 2 +- generic/tclInterp.c | 12 ++++++------ generic/tclMain.c | 6 ++++-- generic/tclOO.c | 4 ++-- generic/tclParse.c | 2 +- generic/tclTest.c | 24 ++++++++++++------------ generic/tclThreadTest.c | 6 +++--- tests/event.test | 6 +++--- unix/dltest/pkgua.c | 6 +++--- unix/tclUnixInit.c | 24 ++++++++++++------------ unix/tclUnixSock.c | 2 +- win/tclWinSock.c | 2 +- 16 files changed, 58 insertions(+), 54 deletions(-) diff --git a/.fossil-settings/ignore-glob b/.fossil-settings/ignore-glob index 9ed86b1..51ca1e2 100644 --- a/.fossil-settings/ignore-glob +++ b/.fossil-settings/ignore-glob @@ -17,8 +17,10 @@ */tclsh* */tcltest* */versions.vc +unix/autoMkindex.tcl unix/dltest.marker unix/tcl.pc +unix/tclIndex unix/pkgs/* win/pkgs/* win/tcl.hpj diff --git a/doc/AddErrInfo.3 b/doc/AddErrInfo.3 index caba125..0b59349 100644 --- a/doc/AddErrInfo.3 +++ b/doc/AddErrInfo.3 @@ -119,7 +119,7 @@ retrieve the stack trace when script evaluation returns \fBTCL_ERROR\fR, like so: .PP .CS -int code = Tcl_Eval(interp, script); +int code = Tcl_EvalEx(interp, script, -1, 0); if (code == TCL_ERROR) { Tcl_Obj *options = \fBTcl_GetReturnOptions\fR(interp, code); Tcl_Obj *key = Tcl_NewStringObj("-errorinfo", -1); diff --git a/generic/tclBasic.c b/generic/tclBasic.c index 25f7e78..e3ac714 100644 --- a/generic/tclBasic.c +++ b/generic/tclBasic.c @@ -941,8 +941,8 @@ Tcl_CreateInterp(void) * Set up other variables such as tcl_version and tcl_library */ - Tcl_SetVar(interp, "tcl_patchLevel", TCL_PATCH_LEVEL, TCL_GLOBAL_ONLY); - Tcl_SetVar(interp, "tcl_version", TCL_VERSION, TCL_GLOBAL_ONLY); + Tcl_SetVar2(interp, "tcl_patchLevel", NULL, TCL_PATCH_LEVEL, TCL_GLOBAL_ONLY); + Tcl_SetVar2(interp, "tcl_version", NULL, TCL_VERSION, TCL_GLOBAL_ONLY); Tcl_TraceVar2(interp, "tcl_precision", NULL, TCL_GLOBAL_ONLY|TCL_TRACE_READS|TCL_TRACE_WRITES|TCL_TRACE_UNSETS, TclPrecTraceProc, NULL); @@ -6848,7 +6848,7 @@ Tcl_VarEvalVA( Tcl_DStringAppend(&buf, string, -1); } - result = Tcl_Eval(interp, Tcl_DStringValue(&buf)); + result = Tcl_EvalEx(interp, Tcl_DStringValue(&buf), -1, 0); Tcl_DStringFree(&buf); return result; } @@ -6918,7 +6918,7 @@ Tcl_GlobalEval( savedVarFramePtr = iPtr->varFramePtr; iPtr->varFramePtr = iPtr->rootFramePtr; - result = Tcl_Eval(interp, command); + result = Tcl_EvalEx(interp, command, -1, 0); iPtr->varFramePtr = savedVarFramePtr; return result; } diff --git a/generic/tclCmdIL.c b/generic/tclCmdIL.c index c93e593..4cb81ea 100644 --- a/generic/tclCmdIL.c +++ b/generic/tclCmdIL.c @@ -1678,7 +1678,7 @@ InfoLibraryCmd( return TCL_ERROR; } - libDirName = Tcl_GetVar(interp, "tcl_library", TCL_GLOBAL_ONLY); + libDirName = Tcl_GetVar2(interp, "tcl_library", NULL, TCL_GLOBAL_ONLY); if (libDirName != NULL) { Tcl_SetObjResult(interp, Tcl_NewStringObj(libDirName, -1)); return TCL_OK; @@ -1804,7 +1804,7 @@ InfoPatchLevelCmd( return TCL_ERROR; } - patchlevel = Tcl_GetVar(interp, "tcl_patchLevel", + patchlevel = Tcl_GetVar2(interp, "tcl_patchLevel", NULL, (TCL_GLOBAL_ONLY | TCL_LEAVE_ERR_MSG)); if (patchlevel != NULL) { Tcl_SetObjResult(interp, Tcl_NewStringObj(patchlevel, -1)); diff --git a/generic/tclIOSock.c b/generic/tclIOSock.c index c5b7d28..f61073b 100644 --- a/generic/tclIOSock.c +++ b/generic/tclIOSock.c @@ -197,7 +197,7 @@ TclCreateSocketAddress( */ if (interp != NULL) { - family = Tcl_GetVar(interp, "::tcl::unsupported::socketAF", 0); + family = Tcl_GetVar2(interp, "::tcl::unsupported::socketAF", NULL, 0); if (family != NULL) { if (strcmp(family, "inet") == 0) { hints.ai_family = AF_INET; diff --git a/generic/tclInterp.c b/generic/tclInterp.c index 66ce1e0..c281d6d 100644 --- a/generic/tclInterp.c +++ b/generic/tclInterp.c @@ -336,7 +336,7 @@ Tcl_Init( Tcl_Interp *interp) /* Interpreter to initialize. */ { if (tclPreInitScript != NULL) { - if (Tcl_Eval(interp, tclPreInitScript) == TCL_ERROR) { + if (Tcl_EvalEx(interp, tclPreInitScript, -1, 0) == TCL_ERROR) { return TCL_ERROR; } } @@ -382,7 +382,7 @@ Tcl_Init( * alternate tclInit command before calling Tcl_Init(). */ - return Tcl_Eval(interp, + return Tcl_EvalEx(interp, "if {[namespace which -command tclInit] eq \"\"} {\n" " proc tclInit {} {\n" " global tcl_libPath tcl_library env tclDefaultLibrary\n" @@ -444,7 +444,7 @@ Tcl_Init( " error $msg\n" " }\n" "}\n" -"tclInit"); +"tclInit", -1, 0); } /* @@ -2368,7 +2368,7 @@ SlaveCreate( SlaveObjCmd, NRSlaveCmd, slaveInterp, SlaveObjCmdDeleteProc); Tcl_InitHashTable(&slavePtr->aliasTable, TCL_STRING_KEYS); Tcl_SetHashValue(hPtr, slavePtr); - Tcl_SetVar(slaveInterp, "tcl_interactive", "0", TCL_GLOBAL_ONLY); + Tcl_SetVar2(slaveInterp, "tcl_interactive", NULL, "0", TCL_GLOBAL_ONLY); /* * Inherit the recursion limit. @@ -3195,8 +3195,8 @@ Tcl_MakeSafe( * Assume these functions all work. [Bug 2895741] */ - (void) Tcl_Eval(interp, - "namespace eval ::tcl {namespace eval mathfunc {}}"); + (void) Tcl_EvalEx(interp, + "namespace eval ::tcl {namespace eval mathfunc {}}", -1, 0); (void) Tcl_CreateAlias(interp, "::tcl::mathfunc::min", master, "::tcl::mathfunc::min", 0, NULL); (void) Tcl_CreateAlias(interp, "::tcl::mathfunc::max", master, diff --git a/generic/tclMain.c b/generic/tclMain.c index 927de7e..de7e29e 100644 --- a/generic/tclMain.c +++ b/generic/tclMain.c @@ -246,7 +246,7 @@ Tcl_SourceRCFile( const char *fileName; Tcl_Channel chan; - fileName = Tcl_GetVar(interp, "tcl_rcFileName", TCL_GLOBAL_ONLY); + fileName = Tcl_GetVar2(interp, "tcl_rcFileName", NULL, TCL_GLOBAL_ONLY); if (fileName != NULL) { Tcl_Channel c; const char *fullName; @@ -266,14 +266,16 @@ Tcl_SourceRCFile( c = Tcl_OpenFileChannel(NULL, fullName, "r", 0); if (c != NULL) { + Tcl_Obj *fullNameObj = Tcl_NewStringObj(fullName, -1); Tcl_Close(NULL, c); - if (Tcl_EvalFile(interp, fullName) != TCL_OK) { + if (Tcl_FSEvalFile(interp, fullNameObj) != TCL_OK) { chan = Tcl_GetStdChannel(TCL_STDERR); if (chan) { Tcl_WriteObj(chan, Tcl_GetObjResult(interp)); Tcl_WriteChars(chan, "\n", 1); } } + Tcl_DecrRefCount(fullNameObj); } } Tcl_DStringFree(&temp); diff --git a/generic/tclOO.c b/generic/tclOO.c index 0454bfe..9dae778 100644 --- a/generic/tclOO.c +++ b/generic/tclOO.c @@ -269,7 +269,7 @@ TclOOInit( * to be fully provided. */ - if (Tcl_Eval(interp, initScript) != TCL_OK) { + if (Tcl_EvalEx(interp, initScript, -1, 0) != TCL_OK) { return TCL_ERROR; } @@ -463,7 +463,7 @@ InitFoundation( if (TclOODefineSlots(fPtr) != TCL_OK) { return TCL_ERROR; } - return Tcl_Eval(interp, slotScript); + return Tcl_EvalEx(interp, slotScript, -1, 0); } /* diff --git a/generic/tclParse.c b/generic/tclParse.c index 568024b..5577e87 100644 --- a/generic/tclParse.c +++ b/generic/tclParse.c @@ -1022,7 +1022,7 @@ ParseComment( if (parsePtr->commentStart == NULL) { parsePtr->commentStart = p; } - + p++; numBytes--; while (numBytes) { diff --git a/generic/tclTest.c b/generic/tclTest.c index 7c30d36..8290582 100644 --- a/generic/tclTest.c +++ b/generic/tclTest.c @@ -1294,7 +1294,7 @@ TestcmdtraceCmd( cmdTrace = Tcl_CreateObjTrace(interp, 50000, TCL_ALLOW_INLINE_COMPILATION, ObjTraceProc, (ClientData) &deleteCalled, ObjTraceDeleteProc); - result = Tcl_Eval(interp, argv[2]); + result = Tcl_EvalEx(interp, argv[2], -1, 0); Tcl_DeleteTrace(interp, cmdTrace); if (!deleteCalled) { Tcl_SetResult(interp, "Delete wasn't called", TCL_STATIC); @@ -1308,7 +1308,7 @@ TestcmdtraceCmd( Tcl_DStringInit(&buffer); t1 = Tcl_CreateTrace(interp, 1, CmdTraceProc, &buffer); t2 = Tcl_CreateTrace(interp, 50000, CmdTraceProc, &buffer); - result = Tcl_Eval(interp, argv[2]); + result = Tcl_EvalEx(interp, argv[2], -1, 0); if (result == TCL_OK) { Tcl_ResetResult(interp); Tcl_AppendResult(interp, Tcl_DStringValue(&buffer), NULL); @@ -1637,7 +1637,7 @@ DelDeleteProc( { DelCmd *dPtr = clientData; - Tcl_Eval(dPtr->interp, dPtr->deleteCmd); + Tcl_EvalEx(dPtr->interp, dPtr->deleteCmd, -1, 0); Tcl_ResetResult(dPtr->interp); ckfree(dPtr->deleteCmd); ckfree(dPtr); @@ -3972,7 +3972,7 @@ TestregexpObjCmd( varName = Tcl_GetString(objv[2]); TclRegExpRangeUniChar(regExpr, -1, &start, &end); sprintf(resinfo, "%d %d", start, end-1); - value = Tcl_SetVar(interp, varName, resinfo, 0); + value = Tcl_SetVar2(interp, varName, NULL, resinfo, 0); if (value == NULL) { Tcl_AppendResult(interp, "couldn't set variable \"", varName, "\"", NULL); @@ -3986,7 +3986,7 @@ TestregexpObjCmd( Tcl_RegExpGetInfo(regExpr, &info); varName = Tcl_GetString(objv[2]); sprintf(resinfo, "%ld", info.extendStart); - value = Tcl_SetVar(interp, varName, resinfo, 0); + value = Tcl_SetVar2(interp, varName, NULL, resinfo, 0); if (value == NULL) { Tcl_AppendResult(interp, "couldn't set variable \"", varName, "\"", NULL); @@ -4329,7 +4329,7 @@ StaticInitProc( Tcl_Interp *interp) /* Interpreter in which package is supposedly * being loaded. */ { - Tcl_SetVar(interp, "x", "loaded", TCL_GLOBAL_ONLY); + Tcl_SetVar2(interp, "x", NULL, "loaded", TCL_GLOBAL_ONLY); return TCL_OK; } @@ -4413,7 +4413,7 @@ TestupvarCmd( } else if (strcmp(argv[4], "namespace") == 0) { flags = TCL_NAMESPACE_ONLY; } - return Tcl_UpVar(interp, argv[1], argv[2], argv[3], flags); + return Tcl_UpVar2(interp, argv[1], argv[2], NULL, argv[3], flags); } else { if (strcmp(argv[5], "global") == 0) { flags = TCL_GLOBAL_ONLY; @@ -4907,10 +4907,10 @@ GetTimesObjCmd( timePer/100000); /* Tcl_SetVar 100000 times */ - fprintf(stderr, "Tcl_SetVar of \"12345\" 100000 times\n"); + fprintf(stderr, "Tcl_SetVar2 of \"12345\" 100000 times\n"); Tcl_GetTime(&start); for (i = 0; i < 100000; i++) { - s = Tcl_SetVar(interp, "a", "12345", TCL_LEAVE_ERR_MSG); + s = Tcl_SetVar2(interp, "a", NULL, "12345", TCL_LEAVE_ERR_MSG); if (s == NULL) { return TCL_ERROR; } @@ -4924,7 +4924,7 @@ GetTimesObjCmd( fprintf(stderr, "Tcl_GetVar of a==\"12345\" 100000 times\n"); Tcl_GetTime(&start); for (i = 0; i < 100000; i++) { - s = Tcl_GetVar(interp, "a", TCL_LEAVE_ERR_MSG); + s = Tcl_GetVar2(interp, "a", NULL, TCL_LEAVE_ERR_MSG); if (s == NULL) { return TCL_ERROR; } @@ -5194,7 +5194,7 @@ TestsaveresultCmd( if (((enum options) index) == RESULT_OBJECT) { result = Tcl_EvalObjEx(interp, objv[2], 0); } else { - result = Tcl_Eval(interp, Tcl_GetString(objv[2])); + result = Tcl_EvalEx(interp, Tcl_GetString(objv[2]), -1, 0); } if (discard) { @@ -6297,7 +6297,7 @@ TestReport( savedResult = Tcl_GetObjResult(interp); Tcl_IncrRefCount(savedResult); Tcl_SetObjResult(interp, Tcl_NewObj()); - Tcl_Eval(interp, Tcl_DStringValue(&ds)); + Tcl_EvalEx(interp, Tcl_DStringValue(&ds), -1, 0); Tcl_DStringFree(&ds); Tcl_ResetResult(interp); Tcl_SetObjResult(interp, savedResult); diff --git a/generic/tclThreadTest.c b/generic/tclThreadTest.c index 9c66313..1a05f80 100644 --- a/generic/tclThreadTest.c +++ b/generic/tclThreadTest.c @@ -657,7 +657,7 @@ ThreadErrorProc( sprintf(buf, "%" TCL_LL_MODIFIER "d", (Tcl_WideInt)(size_t)Tcl_GetCurrentThread()); - errorInfo = Tcl_GetVar(interp, "errorInfo", TCL_GLOBAL_ONLY); + errorInfo = Tcl_GetVar2(interp, "errorInfo", NULL, TCL_GLOBAL_ONLY); if (errorProcString == NULL) { errChannel = Tcl_GetStdChannel(TCL_STDERR); Tcl_WriteChars(errChannel, "Error from thread ", -1); @@ -1032,8 +1032,8 @@ ThreadEventProc( code = Tcl_EvalEx(interp, threadEventPtr->script,-1,TCL_EVAL_GLOBAL); Tcl_DeleteThreadExitHandler(ThreadFreeProc, threadEventPtr->script); if (code != TCL_OK) { - errorCode = Tcl_GetVar(interp, "errorCode", TCL_GLOBAL_ONLY); - errorInfo = Tcl_GetVar(interp, "errorInfo", TCL_GLOBAL_ONLY); + errorCode = Tcl_GetVar2(interp, "errorCode", NULL, TCL_GLOBAL_ONLY); + errorInfo = Tcl_GetVar2(interp, "errorInfo", NULL, TCL_GLOBAL_ONLY); } else { errorCode = errorInfo = NULL; } diff --git a/tests/event.test b/tests/event.test index 207c799..ef0947f 100644 --- a/tests/event.test +++ b/tests/event.test @@ -595,16 +595,16 @@ test event-11.7 {Bug 16828b3744} { test event-11.8 {Bug 16828b3744} -setup { oo::class create A { variable continue - + method start {} { after idle [self] destroy - + set continue 0 vwait [namespace current]::continue } destructor { set continue 1 - } + } } } -body { [A new] start diff --git a/unix/dltest/pkgua.c b/unix/dltest/pkgua.c index 417bedb..5de0101 100644 --- a/unix/dltest/pkgua.c +++ b/unix/dltest/pkgua.c @@ -224,7 +224,7 @@ Pkgua_Init( return code; } - Tcl_SetVar(interp, "::pkgua_loaded", ".", TCL_APPEND_VALUE); + Tcl_SetVar2(interp, "::pkgua_loaded", NULL, ".", TCL_APPEND_VALUE); cmdTokens = PkguaInterpToTokens(interp); cmdTokens[cmdIndex++] = @@ -299,7 +299,7 @@ Pkgua_Unload( PkguaDeleteTokens(interp); - Tcl_SetVar(interp, "::pkgua_detached", ".", TCL_APPEND_VALUE); + Tcl_SetVar2(interp, "::pkgua_detached", NULL, ".", TCL_APPEND_VALUE); if (flags == TCL_UNLOAD_DETACH_FROM_PROCESS) { /* @@ -309,7 +309,7 @@ Pkgua_Unload( */ PkguaFreeTokensHashTable(); - Tcl_SetVar(interp, "::pkgua_unloaded", ".", TCL_APPEND_VALUE); + Tcl_SetVar2(interp, "::pkgua_unloaded", NULL, ".", TCL_APPEND_VALUE); } return TCL_OK; } diff --git a/unix/tclUnixInit.c b/unix/tclUnixInit.c index 5fc0035..71b20e3 100644 --- a/unix/tclUnixInit.c +++ b/unix/tclUnixInit.c @@ -780,7 +780,7 @@ TclpSetVariables( if (!Tcl_CreateNamespace(interp, "::tcl::mac", NULL, NULL)) { Tcl_ResetResult(interp); } - Tcl_SetVar(interp, "::tcl::mac::locale", loc, TCL_GLOBAL_ONLY); + Tcl_SetVar2(interp, "::tcl::mac::locale", NULL, loc, TCL_GLOBAL_ONLY); } } CFRelease(localeRef); @@ -791,9 +791,9 @@ TclpSetVariables( const char *str; CFBundleRef bundleRef; - Tcl_SetVar(interp, "tclDefaultLibrary", tclLibPath, TCL_GLOBAL_ONLY); - Tcl_SetVar(interp, "tcl_pkgPath", tclLibPath, TCL_GLOBAL_ONLY); - Tcl_SetVar(interp, "tcl_pkgPath", " ", + Tcl_SetVar2(interp, "tclDefaultLibrary", NULL, tclLibPath, TCL_GLOBAL_ONLY); + Tcl_SetVar2(interp, "tcl_pkgPath", NULL, tclLibPath, TCL_GLOBAL_ONLY); + Tcl_SetVar2(interp, "tcl_pkgPath", NULL, " ", TCL_GLOBAL_ONLY | TCL_APPEND_VALUE); str = TclGetEnv("DYLD_FRAMEWORK_PATH", &ds); @@ -809,9 +809,9 @@ TclpSetVariables( *p = ' '; } } while (*p++); - Tcl_SetVar(interp, "tcl_pkgPath", Tcl_DStringValue(&ds), + Tcl_SetVar2(interp, "tcl_pkgPath", NULL, Tcl_DStringValue(&ds), TCL_GLOBAL_ONLY | TCL_APPEND_VALUE); - Tcl_SetVar(interp, "tcl_pkgPath", " ", + Tcl_SetVar2(interp, "tcl_pkgPath", NULL, " ", TCL_GLOBAL_ONLY | TCL_APPEND_VALUE); Tcl_DStringFree(&ds); } @@ -826,9 +826,9 @@ TclpSetVariables( (unsigned char*) tclLibPath, MAXPATHLEN) && ! TclOSstat(tclLibPath, &statBuf) && S_ISDIR(statBuf.st_mode)) { - Tcl_SetVar(interp, "tcl_pkgPath", tclLibPath, + Tcl_SetVar2(interp, "tcl_pkgPath", NULL, tclLibPath, TCL_GLOBAL_ONLY | TCL_APPEND_VALUE); - Tcl_SetVar(interp, "tcl_pkgPath", " ", + Tcl_SetVar2(interp, "tcl_pkgPath", NULL, " ", TCL_GLOBAL_ONLY | TCL_APPEND_VALUE); } CFRelease(frameworksURL); @@ -839,20 +839,20 @@ TclpSetVariables( (unsigned char*) tclLibPath, MAXPATHLEN) && ! TclOSstat(tclLibPath, &statBuf) && S_ISDIR(statBuf.st_mode)) { - Tcl_SetVar(interp, "tcl_pkgPath", tclLibPath, + Tcl_SetVar2(interp, "tcl_pkgPath", NULL, tclLibPath, TCL_GLOBAL_ONLY | TCL_APPEND_VALUE); - Tcl_SetVar(interp, "tcl_pkgPath", " ", + Tcl_SetVar2(interp, "tcl_pkgPath", NULL, " ", TCL_GLOBAL_ONLY | TCL_APPEND_VALUE); } CFRelease(frameworksURL); } } - Tcl_SetVar(interp, "tcl_pkgPath", pkgPath, + Tcl_SetVar2(interp, "tcl_pkgPath", NULL, pkgPath, TCL_GLOBAL_ONLY | TCL_APPEND_VALUE); } else #endif /* HAVE_COREFOUNDATION */ { - Tcl_SetVar(interp, "tcl_pkgPath", pkgPath, TCL_GLOBAL_ONLY); + Tcl_SetVar2(interp, "tcl_pkgPath", NULL, pkgPath, TCL_GLOBAL_ONLY); } #ifdef DJGPP diff --git a/unix/tclUnixSock.c b/unix/tclUnixSock.c index 9c5cd4b..8167077 100644 --- a/unix/tclUnixSock.c +++ b/unix/tclUnixSock.c @@ -735,7 +735,7 @@ TcpHostPortList( #endif /* NEED_FAKE_RFC2553 */ } /* Check if reverse DNS has been switched off globally */ - if (interp != NULL && Tcl_GetVar(interp, SUPPRESS_RDNS_VAR, 0) != NULL) { + if (interp != NULL && Tcl_GetVar2(interp, SUPPRESS_RDNS_VAR, NULL, 0) != NULL) { flags |= NI_NUMERICHOST; } if (getnameinfo(&addr.sa, salen, host, sizeof(host), NULL, 0, flags) == 0) { diff --git a/win/tclWinSock.c b/win/tclWinSock.c index cc77afe..4690708 100644 --- a/win/tclWinSock.c +++ b/win/tclWinSock.c @@ -1319,7 +1319,7 @@ TcpGetOptionProc( return TCL_OK; } - if (interp != NULL && Tcl_GetVar(interp, SUPPRESS_RDNS_VAR, 0) != NULL) { + if (interp != NULL && Tcl_GetVar2(interp, SUPPRESS_RDNS_VAR, NULL, 0) != NULL) { reverseDNS = NI_NUMERICHOST; } -- cgit v0.12 From bbccbfba7b9080ce0a137da9100b3ee550cdea41 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 29 Jun 2016 15:28:36 +0000 Subject: Eliminate internal use of TCL_STORAGE_CLASS, as it will be gone in 9.0 anyway --- generic/tclTest.c | 12 ++---------- macosx/README | 6 +++--- unix/dltest/pkga.c | 10 +--------- unix/dltest/pkgc.c | 12 ++---------- unix/dltest/pkgd.c | 12 ++---------- unix/dltest/pkge.c | 11 +---------- unix/dltest/pkgua.c | 16 ++++------------ win/tclWinDde.c | 27 +++++++-------------------- 8 files changed, 22 insertions(+), 84 deletions(-) diff --git a/generic/tclTest.c b/generic/tclTest.c index 8290582..33eaadd 100644 --- a/generic/tclTest.c +++ b/generic/tclTest.c @@ -42,16 +42,8 @@ * Declare external functions used in Windows tests. */ -/* - * TCL_STORAGE_CLASS is set unconditionally to DLLEXPORT because the - * Tcltest_Init declaration is in the source file itself, which is only - * accessed when we are building a library. - */ - -#undef TCL_STORAGE_CLASS -#define TCL_STORAGE_CLASS DLLEXPORT -EXTERN int Tcltest_Init(Tcl_Interp *interp); -EXTERN int Tcltest_SafeInit(Tcl_Interp *interp); +DLLEXPORT int Tcltest_Init(Tcl_Interp *interp); +DLLEXPORT int Tcltest_SafeInit(Tcl_Interp *interp); /* * Dynamic string shared by TestdcallCmd and DelCallbackProc; used to collect diff --git a/macosx/README b/macosx/README index bcffde3..551a18e 100644 --- a/macosx/README +++ b/macosx/README @@ -113,7 +113,7 @@ The following build configurations are available: The Xcode projects refer to the toplevel tcl source directory via the TCL_SRCROOT user build setting, by default this is set to the project-relative path '../../tcl', if your tcl source directory is named differently, e.g. -'../../tcl8.6', you need to manually change the TCL_SRCROOT setting by editing +'../../tcl8.7', you need to manually change the TCL_SRCROOT setting by editing your ${USER}.pbxuser file (located inside the Tcl.xcodeproj bundle directory) with a text editor. @@ -141,9 +141,9 @@ Detailed Instructions for building with macosx/GNUmakefile - Unpack the Tcl source release archive. - The following instructions assume the Tcl source tree is named "tcl${ver}", -(where ${ver} is a shell variable containing the Tcl version number e.g. '8.6'). +(where ${ver} is a shell variable containing the Tcl version number e.g. '8.7'). Setup this shell variable as follows: - ver="8.6" + ver="8.7" If you are building from CVS, omit this step (CVS source tree names usually do not contain a version number). diff --git a/unix/dltest/pkga.c b/unix/dltest/pkga.c index c4d3f32..2aee1b8 100644 --- a/unix/dltest/pkga.c +++ b/unix/dltest/pkga.c @@ -14,14 +14,6 @@ #include "tcl.h" /* - * TCL_STORAGE_CLASS is set unconditionally to DLLEXPORT because the - * Pkga_Init declaration is in the source file itself, which is only - * accessed when we are building a library. - */ -#undef TCL_STORAGE_CLASS -#define TCL_STORAGE_CLASS DLLEXPORT - -/* * Prototypes for procedures defined later in this file: */ @@ -124,7 +116,7 @@ Pkga_QuoteObjCmd( *---------------------------------------------------------------------- */ -EXTERN int +DLLEXPORT int Pkga_Init( Tcl_Interp *interp) /* Interpreter in which the package is to be * made available. */ diff --git a/unix/dltest/pkgc.c b/unix/dltest/pkgc.c index 557f21b..48e4d2a 100644 --- a/unix/dltest/pkgc.c +++ b/unix/dltest/pkgc.c @@ -15,14 +15,6 @@ #include "tcl.h" /* - * TCL_STORAGE_CLASS is set unconditionally to DLLEXPORT because the - * Pkgc_Init declaration is in the source file itself, which is only - * accessed when we are building a library. - */ -#undef TCL_STORAGE_CLASS -#define TCL_STORAGE_CLASS DLLEXPORT - -/* * Prototypes for procedures defined later in this file: */ @@ -114,7 +106,7 @@ Pkgc_UnsafeObjCmd( *---------------------------------------------------------------------- */ -EXTERN int +DLLEXPORT int Pkgc_Init( Tcl_Interp *interp) /* Interpreter in which the package is to be * made available. */ @@ -151,7 +143,7 @@ Pkgc_Init( *---------------------------------------------------------------------- */ -EXTERN int +DLLEXPORT int Pkgc_SafeInit( Tcl_Interp *interp) /* Interpreter in which the package is to be * made available. */ diff --git a/unix/dltest/pkgd.c b/unix/dltest/pkgd.c index 6e114e9..df7bbc9 100644 --- a/unix/dltest/pkgd.c +++ b/unix/dltest/pkgd.c @@ -15,14 +15,6 @@ #include "tcl.h" /* - * TCL_STORAGE_CLASS is set unconditionally to DLLEXPORT because the - * Pkgd_Init declaration is in the source file itself, which is only - * accessed when we are building a library. - */ -#undef TCL_STORAGE_CLASS -#define TCL_STORAGE_CLASS DLLEXPORT - -/* * Prototypes for procedures defined later in this file: */ @@ -114,7 +106,7 @@ Pkgd_UnsafeObjCmd( *---------------------------------------------------------------------- */ -EXTERN int +DLLEXPORT int Pkgd_Init( Tcl_Interp *interp) /* Interpreter in which the package is to be * made available. */ @@ -151,7 +143,7 @@ Pkgd_Init( *---------------------------------------------------------------------- */ -EXTERN int +DLLEXPORT int Pkgd_SafeInit( Tcl_Interp *interp) /* Interpreter in which the package is to be * made available. */ diff --git a/unix/dltest/pkge.c b/unix/dltest/pkge.c index 395cd0e..7160d90 100644 --- a/unix/dltest/pkge.c +++ b/unix/dltest/pkge.c @@ -13,15 +13,6 @@ #undef STATIC_BUILD #include "tcl.h" - -/* - * TCL_STORAGE_CLASS is set unconditionally to DLLEXPORT because the - * Pkge_Init declaration is in the source file itself, which is only - * accessed when we are building a library. - */ -#undef TCL_STORAGE_CLASS -#define TCL_STORAGE_CLASS DLLEXPORT - /* *---------------------------------------------------------------------- @@ -40,7 +31,7 @@ *---------------------------------------------------------------------- */ -EXTERN int +DLLEXPORT int Pkge_Init( Tcl_Interp *interp) /* Interpreter in which the package is to be * made available. */ diff --git a/unix/dltest/pkgua.c b/unix/dltest/pkgua.c index 5de0101..6d95640 100644 --- a/unix/dltest/pkgua.c +++ b/unix/dltest/pkgua.c @@ -15,14 +15,6 @@ #include "tcl.h" /* - * TCL_STORAGE_CLASS is set unconditionally to DLLEXPORT because the - * Pkgua_Init declaration is in the source file itself, which is only - * accessed when we are building a library. - */ -#undef TCL_STORAGE_CLASS -#define TCL_STORAGE_CLASS DLLEXPORT - -/* * Prototypes for procedures defined later in this file: */ @@ -200,7 +192,7 @@ PkguaQuoteObjCmd( *---------------------------------------------------------------------- */ -EXTERN int +DLLEXPORT int Pkgua_Init( Tcl_Interp *interp) /* Interpreter in which the package is to be * made available. */ @@ -253,7 +245,7 @@ Pkgua_Init( *---------------------------------------------------------------------- */ -EXTERN int +DLLEXPORT int Pkgua_SafeInit( Tcl_Interp *interp) /* Interpreter in which the package is to be * made available. */ @@ -278,7 +270,7 @@ Pkgua_SafeInit( *---------------------------------------------------------------------- */ -EXTERN int +DLLEXPORT int Pkgua_Unload( Tcl_Interp *interp, /* Interpreter from which the package is to be * unloaded. */ @@ -331,7 +323,7 @@ Pkgua_Unload( *---------------------------------------------------------------------- */ -EXTERN int +DLLEXPORT int Pkgua_SafeUnload( Tcl_Interp *interp, /* Interpreter from which the package is to be * unloaded. */ diff --git a/win/tclWinDde.c b/win/tclWinDde.c index ce0b413..c852728 100644 --- a/win/tclWinDde.c +++ b/win/tclWinDde.c @@ -34,16 +34,6 @@ #endif /* - * TCL_STORAGE_CLASS is set unconditionally to DLLEXPORT because the Dde_Init - * declaration is in the source file itself, which is only accessed when we - * are building a library. DO NOT MOVE BEFORE ANY #include LINES. ONLY USE - * EXTERN TO INDICATE EXPORTED FUNCTIONS FROM NOW ON. - */ - -#undef TCL_STORAGE_CLASS -#define TCL_STORAGE_CLASS DLLEXPORT - -/* * The following structure is used to keep track of the interpreters * registered by this process. */ @@ -69,13 +59,13 @@ typedef struct Conversation { Tcl_Obj *returnPackagePtr; /* The result package for this conversation. */ } Conversation; -typedef struct DdeEnumServices { +struct DdeEnumServices { Tcl_Interp *interp; int result; ATOM service; ATOM topic; HWND hwnd; -} DdeEnumServices; +}; typedef struct ThreadSpecificData { Conversation *currentConversations; @@ -135,8 +125,8 @@ static int DdeObjCmd(ClientData clientData, Tcl_Interp *interp, int objc, Tcl_Obj *const objv[]); -EXTERN int Dde_Init(Tcl_Interp *interp); -EXTERN int Dde_SafeInit(Tcl_Interp *interp); +DLLEXPORT int Dde_Init(Tcl_Interp *interp); +DLLEXPORT int Dde_SafeInit(Tcl_Interp *interp); /* *---------------------------------------------------------------------- @@ -399,7 +389,7 @@ DdeSetServerName( Tcl_DString ds; Tcl_ListObjIndex(interp, srvPtrPtr[n], 1, &namePtr); - Tcl_WinUtfToTChar(Tcl_GetString(namePtr), -1, &ds); + Tcl_WinUtfToTChar(Tcl_GetString(namePtr), -1, &ds); if (_tcscmp(actualName, (TCHAR *)Tcl_DStringValue(&ds)) == 0) { suffix++; Tcl_DStringFree(&ds); @@ -1757,8 +1747,7 @@ DdeObjCmd( objPtr = Tcl_GetVar2Ex(sendInterp, "errorInfo", NULL, TCL_GLOBAL_ONLY); if (objPtr) { - string = Tcl_GetStringFromObj(objPtr, &length); - Tcl_AddObjErrorInfo(interp, string, length); + Tcl_AppendObjToErrorInfo(interp, objPtr); } objPtr = Tcl_GetVar2Ex(sendInterp, "errorCode", NULL, @@ -1853,9 +1842,7 @@ DdeObjCmd( Tcl_DecrRefCount(resultPtr); goto invalidServerResponse; } - length = -1; - string = Tcl_GetStringFromObj(objPtr, &length); - Tcl_AddObjErrorInfo(interp, string, length); + Tcl_AppendObjToErrorInfo(interp, objPtr); Tcl_ListObjIndex(NULL, resultPtr, 2, &objPtr); Tcl_SetObjErrorCode(interp, objPtr); -- cgit v0.12 From 9e0c4021277674c3182c3082c38a5915d872ae0a Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 29 Jun 2016 15:45:26 +0000 Subject: Remove Tcl_Main() function, since it's no longer being used: It has been a macro already for ages. --- generic/tclMain.c | 23 +++++------------------ 1 file changed, 5 insertions(+), 18 deletions(-) diff --git a/generic/tclMain.c b/generic/tclMain.c index de7e29e..28f8fd8 100644 --- a/generic/tclMain.c +++ b/generic/tclMain.c @@ -112,7 +112,7 @@ typedef enum { PROMPT_CONTINUE /* Print prompt for command continuation */ } PromptType; -typedef struct InteractiveState { +typedef struct { Tcl_Channel input; /* The standard input channel from which lines * are read. */ int tty; /* Non-zero means standard input is a @@ -267,8 +267,10 @@ Tcl_SourceRCFile( c = Tcl_OpenFileChannel(NULL, fullName, "r", 0); if (c != NULL) { Tcl_Obj *fullNameObj = Tcl_NewStringObj(fullName, -1); + Tcl_Close(NULL, c); - if (Tcl_FSEvalFile(interp, fullNameObj) != TCL_OK) { + Tcl_IncrRefCount(fullNameObj); + if (Tcl_FSEvalFileEx(interp, fullNameObj, NULL) != TCL_OK) { chan = Tcl_GetStdChannel(TCL_STDERR); if (chan) { Tcl_WriteObj(chan, Tcl_GetObjResult(interp)); @@ -285,7 +287,7 @@ Tcl_SourceRCFile( /*---------------------------------------------------------------------- * - * Tcl_Main, Tcl_MainEx -- + * Tcl_MainEx -- * * Main program for tclsh and most other Tcl-based applications. * @@ -636,21 +638,6 @@ Tcl_MainEx( Tcl_Exit(exitCode); } - -#if (TCL_MAJOR_VERSION == 8) && !defined(UNICODE) -#undef Tcl_Main -extern DLLEXPORT void -Tcl_Main( - int argc, /* Number of arguments. */ - char **argv, /* Array of argument strings. */ - Tcl_AppInitProc *appInitProc) - /* Application-specific initialization - * function to call after most initialization - * but before starting to execute commands. */ -{ - Tcl_MainEx(argc, argv, appInitProc, Tcl_CreateInterp()); -} -#endif /* TCL_MAJOR_VERSION == 8 && !UNICODE */ #ifndef TCL_ASCII_MAIN -- cgit v0.12 From 26a0c08c0bcf995a69ec76d8061febcc24c650c2 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 30 Jun 2016 13:16:44 +0000 Subject: Simplify use of "struct" keyword in many places. --- generic/tclStringRep.h | 2 +- generic/tclTimer.c | 2 +- generic/tclTrace.c | 2 +- macosx/tclMacOSXFCmd.c | 2 +- macosx/tclMacOSXNotify.c | 4 ++-- unix/tclUnixChan.c | 4 ++-- unix/tclUnixCompat.c | 2 +- unix/tclUnixInit.c | 2 +- unix/tclUnixNotfy.c | 4 ++-- unix/tclUnixPipe.c | 2 +- unix/tclUnixTest.c | 2 +- unix/tclUnixThrd.c | 8 ++++---- unix/tclUnixTime.c | 2 +- unix/tclXtNotify.c | 2 +- win/tclWinChan.c | 4 ++-- win/tclWinConsole.c | 6 +++--- win/tclWinDde.c | 2 +- win/tclWinNotify.c | 2 +- win/tclWinSerial.c | 4 ++-- win/tclWinThrd.c | 10 +++++----- win/tclWinTime.c | 4 ++-- 21 files changed, 36 insertions(+), 36 deletions(-) diff --git a/generic/tclStringRep.h b/generic/tclStringRep.h index 227e6bc..db6f7e4 100644 --- a/generic/tclStringRep.h +++ b/generic/tclStringRep.h @@ -46,7 +46,7 @@ * tcl.h, but do not do that unless you are sure what you're doing! */ -typedef struct String { +typedef struct { int numChars; /* The number of chars in the string. -1 means * this value has not been calculated. >= 0 * means that there is a valid Unicode rep, or diff --git a/generic/tclTimer.c b/generic/tclTimer.c index c10986a..c83b5f5 100644 --- a/generic/tclTimer.c +++ b/generic/tclTimer.c @@ -91,7 +91,7 @@ typedef struct IdleHandler { * The structure defined below is used in this file only. */ -typedef struct ThreadSpecificData { +typedef struct { TimerHandler *firstTimerHandlerPtr; /* First event in queue. */ int lastTimerId; /* Timer identifier of most recently created * timer. */ diff --git a/generic/tclTrace.c b/generic/tclTrace.c index 4e74c54..33e62b2 100644 --- a/generic/tclTrace.c +++ b/generic/tclTrace.c @@ -143,7 +143,7 @@ static int TraceVarEx(Tcl_Interp *interp, const char *part1, * trace procs */ -typedef struct StringTraceData { +typedef struct { ClientData clientData; /* Client data from Tcl_CreateTrace */ Tcl_CmdTraceProc *proc; /* Trace function from Tcl_CreateTrace */ } StringTraceData; diff --git a/macosx/tclMacOSXFCmd.c b/macosx/tclMacOSXFCmd.c index 8ecfd0b..7c643a3 100644 --- a/macosx/tclMacOSXFCmd.c +++ b/macosx/tclMacOSXFCmd.c @@ -106,7 +106,7 @@ typedef struct finderinfo { u_int32_t extendedFileInfo[4]; } __attribute__ ((__packed__)) finderinfo; -typedef struct fileinfobuf { +typedef struct { u_int32_t info_length; u_int32_t data[8]; } fileinfobuf; diff --git a/macosx/tclMacOSXNotify.c b/macosx/tclMacOSXNotify.c index 9b7bd1a..a7f26b7 100644 --- a/macosx/tclMacOSXNotify.c +++ b/macosx/tclMacOSXNotify.c @@ -217,7 +217,7 @@ typedef struct FileHandler { * handlers are ready to fire. */ -typedef struct FileHandlerEvent { +typedef struct { Tcl_Event header; /* Information that is standard for all * events. */ int fd; /* File descriptor that is ready. Used to find @@ -232,7 +232,7 @@ typedef struct FileHandlerEvent { * writable, and exceptional conditions. */ -typedef struct SelectMasks { +typedef struct { fd_set readable; fd_set writable; fd_set exceptional; diff --git a/unix/tclUnixChan.c b/unix/tclUnixChan.c index b4b2739..6418f48 100644 --- a/unix/tclUnixChan.c +++ b/unix/tclUnixChan.c @@ -61,7 +61,7 @@ * This structure describes per-instance state of a file based channel. */ -typedef struct FileState { +typedef struct { Tcl_Channel channel; /* Channel associated with this file. */ int fd; /* File handle. */ int validMask; /* OR'ed combination of TCL_READABLE, @@ -76,7 +76,7 @@ typedef struct FileState { * a platform-independant manner. */ -typedef struct TtyAttrs { +typedef struct { int baud; int parity; int data; diff --git a/unix/tclUnixCompat.c b/unix/tclUnixCompat.c index 2a68f7f..1247061 100644 --- a/unix/tclUnixCompat.c +++ b/unix/tclUnixCompat.c @@ -49,7 +49,7 @@ #ifdef TCL_THREADS -typedef struct ThreadSpecificData { +typedef struct { struct passwd pwd; #if defined(HAVE_GETPWNAM_R_5) || defined(HAVE_GETPWUID_R_5) #define NEED_PW_CLEANER 1 diff --git a/unix/tclUnixInit.c b/unix/tclUnixInit.c index 71b20e3..aaff9ec 100644 --- a/unix/tclUnixInit.c +++ b/unix/tclUnixInit.c @@ -115,7 +115,7 @@ static char pkgPath[sizeof(TCL_PACKAGE_PATH)+200] = TCL_PACKAGE_PATH; * first list checked for a mapping from env encoding to Tcl encoding name. */ -typedef struct LocaleTable { +typedef struct { const char *lang; const char *encoding; } LocaleTable; diff --git a/unix/tclUnixNotfy.c b/unix/tclUnixNotfy.c index 3422089..9f9301f 100644 --- a/unix/tclUnixNotfy.c +++ b/unix/tclUnixNotfy.c @@ -39,7 +39,7 @@ typedef struct FileHandler { * handlers are ready to fire. */ -typedef struct FileHandlerEvent { +typedef struct { Tcl_Event header; /* Information that is standard for all * events. */ int fd; /* File descriptor that is ready. Used to find @@ -54,7 +54,7 @@ typedef struct FileHandlerEvent { * writable, and exception conditions. */ -typedef struct SelectMasks { +typedef struct { fd_set readable; fd_set writable; fd_set exception; diff --git a/unix/tclUnixPipe.c b/unix/tclUnixPipe.c index 8b26694..be7b4eb 100644 --- a/unix/tclUnixPipe.c +++ b/unix/tclUnixPipe.c @@ -30,7 +30,7 @@ * This structure describes per-instance state of a pipe based channel. */ -typedef struct PipeState { +typedef struct { Tcl_Channel channel; /* Channel associated with this file. */ TclFile inFile; /* Output from pipe. */ TclFile outFile; /* Input to pipe. */ diff --git a/unix/tclUnixTest.c b/unix/tclUnixTest.c index c5ac52a..86e0925 100644 --- a/unix/tclUnixTest.c +++ b/unix/tclUnixTest.c @@ -37,7 +37,7 @@ * exercised by the "testfilehandler" command. */ -typedef struct Pipe { +typedef struct { TclFile readFile; /* File handle for reading from the pipe. NULL * means pipe doesn't exist yet. */ TclFile writeFile; /* File handle for writing from the pipe. */ diff --git a/unix/tclUnixThrd.c b/unix/tclUnixThrd.c index cf81850..8f8eb7f 100644 --- a/unix/tclUnixThrd.c +++ b/unix/tclUnixThrd.c @@ -15,7 +15,7 @@ #ifdef TCL_THREADS -typedef struct ThreadSpecificData { +typedef struct { char nabuf[16]; } ThreadSpecificData; @@ -675,7 +675,7 @@ TclpInetNtoa( #ifdef USE_THREAD_ALLOC static pthread_key_t key; -typedef struct allocMutex { +typedef struct { Tcl_Mutex tlock; pthread_mutex_t plock; } allocMutex; @@ -683,10 +683,10 @@ typedef struct allocMutex { Tcl_Mutex * TclpNewAllocMutex(void) { - struct allocMutex *lockPtr; + allocMutex *lockPtr; register pthread_mutex_t *plockPtr; - lockPtr = malloc(sizeof(struct allocMutex)); + lockPtr = malloc(sizeof(allocMutex)); if (lockPtr == NULL) { Tcl_Panic("could not allocate lock"); } diff --git a/unix/tclUnixTime.c b/unix/tclUnixTime.c index 315bcf9..df759d8 100644 --- a/unix/tclUnixTime.c +++ b/unix/tclUnixTime.c @@ -23,7 +23,7 @@ */ static Tcl_ThreadDataKey tmKey; -typedef struct ThreadSpecificData { +typedef struct { struct tm gmtime_buf; struct tm localtime_buf; } ThreadSpecificData; diff --git a/unix/tclXtNotify.c b/unix/tclXtNotify.c index a5d92d6..26db9f2 100644 --- a/unix/tclXtNotify.c +++ b/unix/tclXtNotify.c @@ -42,7 +42,7 @@ typedef struct FileHandler { * handlers are ready to fire. */ -typedef struct FileHandlerEvent { +typedef struct { Tcl_Event header; /* Information that is standard for all * events. */ int fd; /* File descriptor that is ready. Used to find diff --git a/win/tclWinChan.c b/win/tclWinChan.c index 78b510b..7518e3e 100644 --- a/win/tclWinChan.c +++ b/win/tclWinChan.c @@ -43,7 +43,7 @@ typedef struct FileInfo { * pending on the channel. */ } FileInfo; -typedef struct ThreadSpecificData { +typedef struct { /* * List of all file channels currently open. */ @@ -58,7 +58,7 @@ static Tcl_ThreadDataKey dataKey; * events are generated. */ -typedef struct FileEvent { +typedef struct { Tcl_Event header; /* Information that is standard for all * events. */ FileInfo *infoPtr; /* Pointer to file info structure. Note that diff --git a/win/tclWinConsole.c b/win/tclWinConsole.c index ab55035..5ce8a2b 100644 --- a/win/tclWinConsole.c +++ b/win/tclWinConsole.c @@ -49,7 +49,7 @@ TCL_DECLARE_MUTEX(consoleMutex) * threads. */ -typedef struct ConsoleThreadInfo { +typedef struct { HANDLE thread; /* Handle to reader or writer thread. */ HANDLE readyEvent; /* Manual-reset event to signal _to_ the main * thread when the worker thread has finished @@ -112,7 +112,7 @@ typedef struct ConsoleInfo { /* Data consumed by reader thread. */ } ConsoleInfo; -typedef struct ThreadSpecificData { +typedef struct { /* * The following pointer refers to the head of the list of consoles that * are being watched for file events. @@ -128,7 +128,7 @@ static Tcl_ThreadDataKey dataKey; * console events are generated. */ -typedef struct ConsoleEvent { +typedef struct { Tcl_Event header; /* Information that is standard for all * events. */ ConsoleInfo *infoPtr; /* Pointer to console info structure. Note diff --git a/win/tclWinDde.c b/win/tclWinDde.c index c852728..2589630 100644 --- a/win/tclWinDde.c +++ b/win/tclWinDde.c @@ -67,7 +67,7 @@ struct DdeEnumServices { HWND hwnd; }; -typedef struct ThreadSpecificData { +typedef struct { Conversation *currentConversations; /* A list of conversations currently being * processed. */ diff --git a/win/tclWinNotify.c b/win/tclWinNotify.c index 1ad022d..28c8445 100644 --- a/win/tclWinNotify.c +++ b/win/tclWinNotify.c @@ -27,7 +27,7 @@ * created for each thread that is using the notifier. */ -typedef struct ThreadSpecificData { +typedef struct { CRITICAL_SECTION crit; /* Monitor for this notifier. */ DWORD thread; /* Identifier for thread associated with this * notifier. */ diff --git a/win/tclWinSerial.c b/win/tclWinSerial.c index 0730a46..0ce5f4d 100644 --- a/win/tclWinSerial.c +++ b/win/tclWinSerial.c @@ -120,7 +120,7 @@ typedef struct SerialInfo { * [fconfigure -queue] */ } SerialInfo; -typedef struct ThreadSpecificData { +typedef struct { /* * The following pointer refers to the head of the list of serials that * are being watched for file events. @@ -136,7 +136,7 @@ static Tcl_ThreadDataKey dataKey; * events are generated. */ -typedef struct SerialEvent { +typedef struct { Tcl_Event header; /* Information that is standard for all * events. */ SerialInfo *infoPtr; /* Pointer to serial info structure. Note that diff --git a/win/tclWinThrd.c b/win/tclWinThrd.c index dbc5f26..26d745d 100644 --- a/win/tclWinThrd.c +++ b/win/tclWinThrd.c @@ -107,7 +107,7 @@ static Tcl_ThreadDataKey dataKey; * the queue. */ -typedef struct WinCondition { +typedef struct { CRITICAL_SECTION condLock; /* Lock to serialize queuing on the * condition. */ struct ThreadSpecificData *firstPtr; /* Queue pointers */ @@ -121,7 +121,7 @@ typedef struct WinCondition { #ifdef USE_THREAD_ALLOC static DWORD tlsKey; -typedef struct allocMutex { +typedef struct { Tcl_Mutex tlock; CRITICAL_SECTION wlock; } allocMutex; @@ -132,7 +132,7 @@ typedef struct allocMutex { * to TclWinThreadStart. */ -typedef struct WinThread { +typedef struct { LPTHREAD_START_ROUTINE lpStartAddress; /* Original startup routine */ LPVOID lpParameter; /* Original startup data */ unsigned int fpControl; /* Floating point control word from the @@ -940,9 +940,9 @@ TclpFinalizeCondition( Tcl_Mutex * TclpNewAllocMutex(void) { - struct allocMutex *lockPtr; + allocMutex *lockPtr; - lockPtr = malloc(sizeof(struct allocMutex)); + lockPtr = malloc(sizeof(allocMutex)); if (lockPtr == NULL) { Tcl_Panic("could not allocate lock"); } diff --git a/win/tclWinTime.c b/win/tclWinTime.c index 7045c72..7b5c18a 100644 --- a/win/tclWinTime.c +++ b/win/tclWinTime.c @@ -35,7 +35,7 @@ static const int leapDays[] = { -1, 30, 59, 90, 120, 151, 181, 212, 243, 273, 304, 334, 365 }; -typedef struct ThreadSpecificData { +typedef struct { char tzName[64]; /* Time zone name */ struct tm tm; /* time information */ } ThreadSpecificData; @@ -45,7 +45,7 @@ static Tcl_ThreadDataKey dataKey; * Data for managing high-resolution timers. */ -typedef struct TimeInfo { +typedef struct { CRITICAL_SECTION cs; /* Mutex guarding this structure. */ int initialized; /* Flag == 1 if this structure is * initialized. */ -- cgit v0.12 From e0b5fcdb1f044670d0a010d38b4b88fedf16ab0d Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 1 Jul 2016 12:21:15 +0000 Subject: Use the utility routines to eliminate the last bit of intrusion into the ensembleRewrite area. --- generic/tclProc.c | 12 +++++------- 1 file changed, 5 insertions(+), 7 deletions(-) diff --git a/generic/tclProc.c b/generic/tclProc.c index b663caf..ae9e7cd 100644 --- a/generic/tclProc.c +++ b/generic/tclProc.c @@ -1087,12 +1087,10 @@ ProcWrongNumArgs( if (framePtr->isProcCallFrame & FRAME_IS_LAMBDA) { desiredObjs[0] = Tcl_NewStringObj("lambdaExpr", -1); } else { - ((Interp *) interp)->ensembleRewrite.numInsertedObjs -= skip - 1; - #ifdef AVOID_HACKS_FOR_ITCL desiredObjs[0] = framePtr->objv[skip-1]; #else - desiredObjs[0] = Tcl_NewListObj(skip, framePtr->objv); + desiredObjs[0] = Tcl_NewListObj(1, framePtr->objv + skip - 1); #endif /* AVOID_HACKS_FOR_ITCL */ } Tcl_IncrRefCount(desiredObjs[0]); @@ -1527,6 +1525,10 @@ InitArgsAndLocals( */ incorrectArgs: + if ((skip != 1) && + TclInitRewriteEnsemble(interp, skip-1, 0, framePtr->objv)) { + TclNRAddCallback(interp, TclClearRootEnsemble, NULL, NULL, NULL, NULL); + } memset(varPtr, 0, ((framePtr->compiledLocals + localCt)-varPtr) * sizeof(Var)); return ProcWrongNumArgs(interp, skip); @@ -2716,10 +2718,6 @@ TclNRApplyObjCmd( extraPtr->efi.fields[0].clientData = lambdaPtr; extraPtr->cmd.clientData = &extraPtr->efi; - if (TclInitRewriteEnsemble(interp, 1, 0, objv)) { - TclNRAddCallback(interp, TclClearRootEnsemble, NULL, NULL, NULL, NULL); - } - result = TclPushProcCallFrame(procPtr, interp, objc, objv, 1); if (result == TCL_OK) { TclNRAddCallback(interp, ApplyNR2, extraPtr, NULL, NULL, NULL); -- cgit v0.12 From 8c8ec10e78e872ffa4e4edef6ae16e03d5872efc Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 1 Jul 2016 13:20:37 +0000 Subject: Disable special hacks for Itcl 3 ensemble error message generation. Migration paths are in place to bring this to an end. --- generic/tclInt.h | 13 +++++++++++++ tests/indexObj.test | 2 +- 2 files changed, 14 insertions(+), 1 deletion(-) diff --git a/generic/tclInt.h b/generic/tclInt.h index 49a299c..85981d9 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -26,6 +26,19 @@ #undef ACCEPT_NAN /* + * In Tcl 8.7, stop supporting special hacks for legacy Itcl 3. + * Itcl 4 doesn't need them. Itcl 3 can be updated to not need them + * using the Tcl(Init|Reset)RewriteEnsemble() routines in all Tcl 8.6+ + * releases. Perhaps Tcl 8.7 will add even better public interfaces + * supporting all the re-invocation mechanisms extensions like Itcl 3 + * need. As an absolute last resort, folks who must make Itcl 3 work + * unchanged with Tcl 8.7 can remove this line to regain the migration + * support. Tcl 9 will no longer offer even that option. + */ + +#define AVOID_HACKS_FOR_ITCL 1 + +/* * Common include files needed by most of the Tcl source files are included * here, so that system-dependent personalizations for the include files only * have to be made in once place. This results in a few extra includes, but diff --git a/tests/indexObj.test b/tests/indexObj.test index 646cb02..126d062 100644 --- a/tests/indexObj.test +++ b/tests/indexObj.test @@ -109,7 +109,7 @@ test indexObj-5.6 {Tcl_WrongNumArgs} testindexobj { } "wrong # args: should be \"mycmd foo\"" # Contrast this with test proc-3.6; they have to be like this because # of [Bug 1066837] so Itcl won't break. -test indexObj-5.7 {Tcl_WrongNumArgs} testindexobj { +test indexObj-5.7 {Tcl_WrongNumArgs} {testindexobj obsolete} { testwrongnumargs 2 "fee fi" "fo fum" foo bar } "wrong # args: should be \"fo fum foo fee fi\"" -- cgit v0.12 From cb26a29db0b87479d3d6ff6b60448c60f029e547 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 1 Jul 2016 13:32:19 +0000 Subject: Use same internal representation for unicode strings in test-cases than in reality, in order to prevent surprises. --- generic/tclTestObj.c | 10 ++-------- 1 file changed, 2 insertions(+), 8 deletions(-) diff --git a/generic/tclTestObj.c b/generic/tclTestObj.c index f36b07f..a637498 100644 --- a/generic/tclTestObj.c +++ b/generic/tclTestObj.c @@ -19,6 +19,7 @@ #endif #include "tclInt.h" #include "tommath.h" +#include "tclStringRep.h" /* @@ -46,13 +47,6 @@ static int TestobjCmd(ClientData dummy, Tcl_Interp *interp, int objc, Tcl_Obj *const objv[]); static int TeststringobjCmd(ClientData dummy, Tcl_Interp *interp, int objc, Tcl_Obj *const objv[]); - -typedef struct TestString { - int numChars; - int allocated; - int maxChars; - Tcl_UniChar unicode[2]; -} TestString; #define VARPTR_KEY "TCLOBJTEST_VARPTR" #define NUMBER_OF_OBJECT_VARS 20 @@ -1141,7 +1135,7 @@ TeststringobjCmd( int varIndex, option, i, length; #define MAX_STRINGS 11 const char *index, *string, *strings[MAX_STRINGS+1]; - TestString *strPtr; + String *strPtr; Tcl_Obj **varPtr; static const char *const options[] = { "append", "appendstrings", "get", "get2", "length", "length2", -- cgit v0.12 From dc9d79ca409ce43c255fbf0d12b742bdd795a1f7 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 1 Jul 2016 14:08:22 +0000 Subject: Encapsulate the fetching of the ensemble rewrite root, used by [namespace]. --- generic/tclEnsemble.c | 34 ++++++++++++++++++++++++++++++++++ generic/tclInt.h | 2 ++ generic/tclNamesp.c | 19 ++----------------- 3 files changed, 38 insertions(+), 17 deletions(-) diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index fd2fa67..4e06518 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -2030,6 +2030,40 @@ TclResetRewriteEnsemble( iPtr->ensembleRewrite.numInsertedObjs = 0; } } +/* + *---------------------------------------------------------------------- + * + * TclFetchEnsembleRoot -- + * + * Returns the root of ensemble rewriting, if any. + * If no root exists, returns objv instead. + * + * Results: + * None. + * + * Side effects: + * None. + * + *---------------------------------------------------------------------- + */ + +Tcl_Obj *const * +TclFetchEnsembleRoot( + Tcl_Interp *interp, + Tcl_Obj *const *objv, + int objc, + int *objcPtr) +{ + Interp *iPtr = (Interp *) interp; + + if (iPtr->ensembleRewrite.sourceObjs) { + *objcPtr = objc + iPtr->ensembleRewrite.numRemovedObjs + - iPtr->ensembleRewrite.numInsertedObjs; + return iPtr->ensembleRewrite.sourceObjs; + } + *objcPtr = objc; + return objv; +} /* * ---------------------------------------------------------------------- diff --git a/generic/tclInt.h b/generic/tclInt.h index a985206..b3cfc00 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -2905,6 +2905,8 @@ MODULE_SCOPE char * TclDStringAppendObj(Tcl_DString *dsPtr, MODULE_SCOPE char * TclDStringAppendDString(Tcl_DString *dsPtr, Tcl_DString *toAppendPtr); MODULE_SCOPE Tcl_Obj * TclDStringToObj(Tcl_DString *dsPtr); +MODULE_SCOPE Tcl_Obj *const * TclFetchEnsembleRoot(Tcl_Interp *interp, + Tcl_Obj *const *objv, int objc, int *objcPtr); MODULE_SCOPE void TclFinalizeAllocSubsystem(void); MODULE_SCOPE void TclFinalizeAsync(void); MODULE_SCOPE void TclFinalizeDoubleConversion(void); diff --git a/generic/tclNamesp.c b/generic/tclNamesp.c index 58a86d9..2c50a60 100644 --- a/generic/tclNamesp.c +++ b/generic/tclNamesp.c @@ -3354,14 +3354,7 @@ NRNamespaceEvalCmd( (void) TclPushStackFrame(interp, (Tcl_CallFrame **) framePtrPtr, namespacePtr, /*isProcCallFrame*/ 0); - if (iPtr->ensembleRewrite.sourceObjs == NULL) { - framePtr->objc = objc; - framePtr->objv = objv; - } else { - framePtr->objc = objc + iPtr->ensembleRewrite.numRemovedObjs - - iPtr->ensembleRewrite.numInsertedObjs; - framePtr->objv = iPtr->ensembleRewrite.sourceObjs; - } + framePtr->objv = TclFetchEnsembleRoot(interp, objv, objc, &framePtr->objc); if (objc == 3) { /* @@ -3768,7 +3761,6 @@ NRNamespaceInscopeCmd( { Tcl_Namespace *namespacePtr; CallFrame *framePtr, **framePtrPtr; - register Interp *iPtr = (Interp *) interp; int i; Tcl_Obj *cmdObjPtr; @@ -3794,14 +3786,7 @@ NRNamespaceInscopeCmd( (void) TclPushStackFrame(interp, (Tcl_CallFrame **) framePtrPtr, namespacePtr, /*isProcCallFrame*/ 0); - if (iPtr->ensembleRewrite.sourceObjs == NULL) { - framePtr->objc = objc; - framePtr->objv = objv; - } else { - framePtr->objc = objc + iPtr->ensembleRewrite.numRemovedObjs - - iPtr->ensembleRewrite.numInsertedObjs; - framePtr->objv = iPtr->ensembleRewrite.sourceObjs; - } + framePtr->objv = TclFetchEnsembleRoot(interp, objv, objc, &framePtr->objc); /* * Execute the command. If there is just one argument, just treat it as a -- cgit v0.12 From 064cf7ed1232f4b7eb6cea4be782bdd6d77e1c49 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 1 Jul 2016 14:11:38 +0000 Subject: Make test-case "for.test" pass, regardless of end-of-line spacing --- tests/for.test | 38 +++++++++++++++++++------------------- 1 file changed, 19 insertions(+), 19 deletions(-) diff --git a/tests/for.test b/tests/for.test index 8e701d6..c8a8187 100644 --- a/tests/for.test +++ b/tests/for.test @@ -451,7 +451,7 @@ proc formatMail {} { set c [string length $line] } } - set newline [string range $line 0 $c] + set newline [string trimright [string range $line 0 $c]] if {! $continuation} { append result $newline $NL } else { @@ -507,7 +507,7 @@ releases of the Tcl scripting language and the Tk toolk it. The first beta versions of these releases were released on August 30, 1996. These releas es contain only minor changes, -so we hope to have only a single beta release and to +so we hope to have only a single beta release and to go final in early October, 1996. @@ -519,34 +519,34 @@ and changes files in the distributions for more complet e information on what has changed, including both feature changes and bug fixes. - There are new options to the file command for + There are new options to the file command for copying files (file copy), - deleting files and directories (file delete), + deleting files and directories (file delete), creating directories (file mkdir), and renaming files (file rename). The implementation of exec has been improved great ly for Windows 95 and Windows NT. - There is a new memory allocator for the Macintosh + There is a new memory allocator for the Macintosh version, which should be more efficient than the old one. - Tk's grid geometry manager has been completely + Tk's grid geometry manager has been completely rewritten. The layout algorithm produces much better layouts than before , especially where rows or columns were stretchable. - There are new commands for creating common dialog + There are new commands for creating common dialog boxes: tk_chooseColor, tk_getOpenFile, tk_getSaveFile and - tk_messageBox. These use native dialog boxes if + tk_messageBox. These use native dialog boxes if they are available. There is a new virtual event mechanism for handlin g events in a more portable - way. See the new command event. It also allows + way. See the new command event. It also allows events (both physical and virtual) to be generated dynamically. -Tcl 7.6 and Tk 4.2 are backwards-compatible with Tcl +Tcl 7.6 and Tk 4.2 are backwards-compatible with Tcl 7.5 and Tk 4.1 except for changes in the C APIs for custom channel drivers. Scrip ts written for earlier releases @@ -556,27 +556,27 @@ Obtaining The Releases Binary Releases -Pre-compiled releases are available for the following +Pre-compiled releases are available for the following platforms: Windows 3.1, Windows 95, and Windows NT: Fetch - ftp://ftp.sunlabs.com/pub/tcl/win42b1.exe, then + ftp://ftp.sunlabs.com/pub/tcl/win42b1.exe, then execute it. The file is a - self-extracting executable. It will install the + self-extracting executable. It will install the Tcl and Tk libraries, the wish and tclsh programs, and documentation. Macintosh (both 68K and PowerPC): Fetch - ftp://ftp.sunlabs.com/pub/tcl/mactk4.2b1.sea.hqx. + ftp://ftp.sunlabs.com/pub/tcl/mactk4.2b1.sea.hqx. The file is in binhex format, - which is understood by Fetch, StuffIt, and many + which is understood by Fetch, StuffIt, and many other Mac utilities. The - unpacked file is a self-installing executable: + unpacked file is a self-installing executable: double-click on it and it will create a - folder containing all that you need to run Tcl + folder containing all that you need to run Tcl and Tk. - UNIX (Solaris 2.* and SunOS, other systems + UNIX (Solaris 2.* and SunOS, other systems soon to follow). Easy to install - binary packages are now for sale at the Sun Labs + binary packages are now for sale at the Sun Labs Tcl/Tk Shop. Check it out! } -- cgit v0.12 From 9076f328f235876d960fb4d78ecec610ac3e81fd Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 1 Jul 2016 18:54:36 +0000 Subject: [4402cfa58c] Rework the spell check machinery into something that will not be foiled by value sharing. --- generic/tclEnsemble.c | 186 ++++++++++++++++++++++++++++++++++++++++++++------ generic/tclIndexObj.c | 21 +++--- generic/tclInt.h | 5 +- 3 files changed, 177 insertions(+), 35 deletions(-) diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index 4e06518..75c2747 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -30,7 +30,8 @@ static int NsEnsembleStringOrder(const void *strPtr1, const void *strPtr2); static void DeleteEnsembleConfig(ClientData clientData); static void MakeCachedEnsembleCommand(Tcl_Obj *objPtr, - EnsembleConfig *ensemblePtr, Tcl_HashEntry *hPtr); + EnsembleConfig *ensemblePtr, Tcl_HashEntry *hPtr, + Tcl_Obj *fix); static void FreeEnsembleCmdRep(Tcl_Obj *objPtr); static void DupEnsembleCmdRep(Tcl_Obj *objPtr, Tcl_Obj *copyPtr); static void CompileToInvokedCommand(Tcl_Interp *interp, @@ -1641,6 +1642,8 @@ NsEnsembleImplementationCmdNR( * names. */ int reparseCount = 0; /* Number of reparses. */ Tcl_Obj *errorObj; /* Used for building error messages. */ + Tcl_Obj *subObj; + int subIdx; /* * Must recheck objc, since numParameters might have changed. Cf. test @@ -1648,7 +1651,8 @@ NsEnsembleImplementationCmdNR( */ restartEnsembleParse: - if (objc < 2 + ensemblePtr->numParameters) { + subIdx = 1 + ensemblePtr->numParameters; + if (objc < subIdx + 1) { /* * We don't have a subcommand argument. Make error message. */ @@ -1693,6 +1697,8 @@ NsEnsembleImplementationCmdNR( * up in there and go straight to dispatch. */ + subObj = objv[subIdx]; + if (ensemblePtr->epoch == ensemblePtr->nsPtr->exportLookupEpoch) { /* * Table of subcommands is still valid; therefore there might be a @@ -1701,14 +1707,16 @@ NsEnsembleImplementationCmdNR( * part where we do the invocation of the subcommand. */ - if (objv[1+ensemblePtr->numParameters]->typePtr==&tclEnsembleCmdType){ - EnsembleCmdRep *ensembleCmd = objv[1+ensemblePtr->numParameters] - ->internalRep.twoPtrValue.ptr1; + if (subObj->typePtr==&tclEnsembleCmdType){ + EnsembleCmdRep *ensembleCmd = subObj->internalRep.twoPtrValue.ptr1; if (ensembleCmd->epoch == ensemblePtr->epoch && ensembleCmd->token == ensemblePtr->token) { prefixObj = Tcl_GetHashValue(ensembleCmd->hPtr); Tcl_IncrRefCount(prefixObj); + if (ensembleCmd->fix) { + TclSpellFix(interp, objv, objc, subIdx, subObj, ensembleCmd->fix); + } goto runResultingSubcommand; } } @@ -1723,15 +1731,14 @@ NsEnsembleImplementationCmdNR( */ hPtr = Tcl_FindHashEntry(&ensemblePtr->subcommandTable, - TclGetString(objv[1 + ensemblePtr->numParameters])); + TclGetString(subObj)); if (hPtr != NULL) { /* * Cache for later in the subcommand object. */ - MakeCachedEnsembleCommand(objv[1 + ensemblePtr->numParameters], - ensemblePtr, hPtr); + MakeCachedEnsembleCommand(subObj, ensemblePtr, hPtr, NULL); } else if (!(ensemblePtr->flags & TCL_ENSEMBLE_PREFIX)) { /* * Could not map, no prefixing, go to unknown/error handling. @@ -1751,9 +1758,9 @@ NsEnsembleImplementationCmdNR( char *fullName = NULL; /* Full name of the subcommand. */ int stringLength, i; int tableLength = ensemblePtr->subcommandTable.numEntries; + Tcl_Obj *fix; - subcmdName = TclGetString(objv[1 + ensemblePtr->numParameters]); - stringLength = objv[1 + ensemblePtr->numParameters]->length; + subcmdName = Tcl_GetStringFromObj(subObj, &stringLength); for (i=0 ; isubcommandArrayPtr[i], @@ -1795,11 +1802,17 @@ NsEnsembleImplementationCmdNR( } /* + * Record the spelling correction for usage message. + */ + + fix = Tcl_NewStringObj(fullName, -1); + + /* * Cache for later in the subcommand object. */ - MakeCachedEnsembleCommand(objv[1 + ensemblePtr->numParameters], - ensemblePtr, hPtr); + MakeCachedEnsembleCommand(subObj, ensemblePtr, hPtr, fix); + TclSpellFix(interp, objv, objc, subIdx, subObj, fix); } prefixObj = Tcl_GetHashValue(hPtr); @@ -1912,20 +1925,17 @@ NsEnsembleImplementationCmdNR( Tcl_ResetResult(interp); Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "SUBCOMMAND", - TclGetString(objv[1+ensemblePtr->numParameters]), NULL); + TclGetString(subObj), NULL); if (ensemblePtr->subcommandTable.numEntries == 0) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "unknown subcommand \"%s\": namespace %s does not" - " export any commands", - TclGetString(objv[1+ensemblePtr->numParameters]), + " export any commands", TclGetString(subObj), ensemblePtr->nsPtr->fullName)); - Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "SUBCOMMAND", - TclGetString(objv[1+ensemblePtr->numParameters]), NULL); return TCL_ERROR; } errorObj = Tcl_ObjPrintf("unknown%s subcommand \"%s\": must be ", (ensemblePtr->flags & TCL_ENSEMBLE_PREFIX ? " or ambiguous" : ""), - TclGetString(objv[1+ensemblePtr->numParameters])); + TclGetString(subObj)); if (ensemblePtr->subcommandTable.numEntries == 1) { Tcl_AppendToObj(errorObj, ensemblePtr->subcommandArrayPtr[0], -1); } else { @@ -2030,6 +2040,127 @@ TclResetRewriteEnsemble( iPtr->ensembleRewrite.numInsertedObjs = 0; } } + +/* + *---------------------------------------------------------------------- + * + * TclSpellFix -- + * + * Record a spelling correction that needs making in the + * generation of the WrongNumArgs usage message. + * + * Results: + * None. + * + * Side effects: + * Can create an alternative ensemble rewrite structure. + * + *---------------------------------------------------------------------- + */ + +static int +FreeER( + ClientData data[], + Tcl_Interp *interp, + int result) +{ + Tcl_Obj **tmp = (Tcl_Obj **)data[0]; + + ckfree(tmp[2]); + ckfree(tmp); + return result; +} + +static int +FreeObj( + ClientData data[], + Tcl_Interp *interp, + int result) +{ + Tcl_Obj *objPtr = (Tcl_Obj *)data[0]; + + Tcl_DecrRefCount(objPtr); + return result; +} + +void +TclSpellFix( + Tcl_Interp *interp, + Tcl_Obj *const *objv, + int objc, + int badIdx, + Tcl_Obj *bad, + Tcl_Obj *fix) +{ + Interp *iPtr = (Interp *) interp; + Tcl_Obj *const *search; + Tcl_Obj **store; + int idx; + int size; + + if (iPtr->ensembleRewrite.sourceObjs == NULL) { + iPtr->ensembleRewrite.sourceObjs = objv; + iPtr->ensembleRewrite.numRemovedObjs = 0; + iPtr->ensembleRewrite.numInsertedObjs = 0; + } + + /* Compute the valid length of the ensemble root */ + + size = iPtr->ensembleRewrite.numRemovedObjs + objc + - iPtr->ensembleRewrite.numInsertedObjs; + + search = iPtr->ensembleRewrite.sourceObjs; + if (search[0] == NULL) { + /* Awful casting abuse here */ + search = (Tcl_Obj *const *) search[1]; + } + + if (badIdx < iPtr->ensembleRewrite.numInsertedObjs) { + /* + * Misspelled value was inserted. We cannot directly jump + * to the bad value, but have to search. + */ + idx = 1; + while (idx < size) { + if (search[idx] == bad) { + break; + } + idx++; + } + if (idx == size) { + return; + } + } else { + /* Jump to the misspelled value. */ + idx = iPtr->ensembleRewrite.numRemovedObjs + badIdx + - iPtr->ensembleRewrite.numInsertedObjs; + + /* Verify */ + if (search[idx] != bad) { + Tcl_Panic("SpellFix: programming error"); + } + } + + search = iPtr->ensembleRewrite.sourceObjs; + if (search[0] == NULL) { + store = (Tcl_Obj **)search[2]; + } else { + Tcl_Obj **tmp = ckalloc(3 * sizeof(Tcl_Obj *)); + tmp[0] = NULL; + tmp[1] = (Tcl_Obj *)iPtr->ensembleRewrite.sourceObjs; + tmp[2] = (Tcl_Obj *)ckalloc(size * sizeof(Tcl_Obj *)); + memcpy(tmp[2], tmp[1], size*sizeof(Tcl_Obj *)); + + iPtr->ensembleRewrite.sourceObjs = (Tcl_Obj *const *) tmp; + TclNRAddCallback(interp, FreeER, tmp, NULL, NULL, NULL); + store = (Tcl_Obj **)tmp[2]; + } + + store[idx] = fix; + Tcl_IncrRefCount(fix); + TclNRAddCallback(interp, FreeObj, fix, NULL, NULL, NULL); +} + /* *---------------------------------------------------------------------- * @@ -2230,12 +2361,16 @@ static void MakeCachedEnsembleCommand( Tcl_Obj *objPtr, EnsembleConfig *ensemblePtr, - Tcl_HashEntry *hPtr) + Tcl_HashEntry *hPtr, + Tcl_Obj *fix) { register EnsembleCmdRep *ensembleCmd; if (objPtr->typePtr == &tclEnsembleCmdType) { ensembleCmd = objPtr->internalRep.twoPtrValue.ptr1; + if (ensembleCmd->fix) { + Tcl_DecrRefCount(ensembleCmd->fix); + } } else { /* * Kill the old internal rep, and replace it with a brand new one of @@ -2254,7 +2389,10 @@ MakeCachedEnsembleCommand( ensembleCmd->epoch = ensemblePtr->epoch; ensembleCmd->token = ensemblePtr->token; - ensembleCmd->tablePtr = &ensemblePtr->subcommandTable; + if (fix) { + Tcl_IncrRefCount(fix); + } + ensembleCmd->fix = fix; ensembleCmd->hPtr = hPtr; } @@ -2636,6 +2774,9 @@ FreeEnsembleCmdRep( { EnsembleCmdRep *ensembleCmd = objPtr->internalRep.twoPtrValue.ptr1; + if (ensembleCmd->fix) { + Tcl_DecrRefCount(ensembleCmd->fix); + } ckfree(ensembleCmd); objPtr->typePtr = NULL; } @@ -2670,7 +2811,10 @@ DupEnsembleCmdRep( copyPtr->internalRep.twoPtrValue.ptr1 = ensembleCopy; ensembleCopy->epoch = ensembleCmd->epoch; ensembleCopy->token = ensembleCmd->token; - ensembleCopy->tablePtr = ensembleCmd->tablePtr; + ensembleCopy->fix = ensembleCmd->fix; + if (ensembleCopy->fix) { + Tcl_IncrRefCount(ensembleCopy->fix); + } ensembleCopy->hPtr = ensembleCmd->hPtr; } diff --git a/generic/tclIndexObj.c b/generic/tclIndexObj.c index d01e685..0e0ddc9 100644 --- a/generic/tclIndexObj.c +++ b/generic/tclIndexObj.c @@ -925,6 +925,14 @@ Tcl_WrongNumArgs( Tcl_Obj *const *origObjv = iPtr->ensembleRewrite.sourceObjs; /* + * Check for spelling fixes, and substitute the fixed values. + */ + + if (origObjv[0] == NULL) { + origObjv = (Tcl_Obj *const *)origObjv[2]; + } + + /* * We only know how to do rewriting if all the replaced objects are * actually arguments (in objv) to this function. Otherwise it just * gets too complicated and we'd be better off just giving a slightly @@ -957,12 +965,6 @@ Tcl_WrongNumArgs( elementStr = EXPAND_OF(indexRep); elemLen = strlen(elementStr); - } else if (origObjv[i]->typePtr == &tclEnsembleCmdType) { - register EnsembleCmdRep *ecrPtr = - origObjv[i]->internalRep.twoPtrValue.ptr1; - - elementStr = Tcl_GetHashKey(ecrPtr->tablePtr, ecrPtr->hPtr); - elemLen = strlen(elementStr); } else { elementStr = TclGetStringFromObj(origObjv[i], &elemLen); } @@ -1011,13 +1013,6 @@ Tcl_WrongNumArgs( register IndexRep *indexRep = objv[i]->internalRep.twoPtrValue.ptr1; Tcl_AppendStringsToObj(objPtr, EXPAND_OF(indexRep), NULL); - } else if (objv[i]->typePtr == &tclEnsembleCmdType) { - register EnsembleCmdRep *ecrPtr = - objv[i]->internalRep.twoPtrValue.ptr1; - const char *fullSubcmdName - = Tcl_GetHashKey(ecrPtr->tablePtr, ecrPtr->hPtr); - - Tcl_AppendStringsToObj(objPtr, fullSubcmdName, NULL); } else { /* * Quote the argument if it contains spaces (Bug 942757). diff --git a/generic/tclInt.h b/generic/tclInt.h index b3cfc00..03b648d 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -401,7 +401,7 @@ typedef struct { * ensemble. */ Tcl_Command token; /* Reference to the comamnd for which this * structure is a cache of the resolution. */ - Tcl_HashTable *tablePtr; /* The subcommand hash table. */ + Tcl_Obj *fix; /* Corrected spelling, if needed. */ Tcl_HashEntry *hPtr; /* Direct link to entry in the subcommand * hash table. */ } EnsembleCmdRep; @@ -3109,6 +3109,9 @@ MODULE_SCOPE void TclSetDuplicateObj(Tcl_Obj *dupPtr, Tcl_Obj *objPtr); MODULE_SCOPE void TclSetProcessGlobalValue(ProcessGlobalValue *pgvPtr, Tcl_Obj *newValue, Tcl_Encoding encoding); MODULE_SCOPE void TclSignalExitThread(Tcl_ThreadId id, int result); +MODULE_SCOPE void TclSpellFix(Tcl_Interp *interp, + Tcl_Obj *const *objv, int objc, int subIdx, + Tcl_Obj *bad, Tcl_Obj *fix); MODULE_SCOPE void * TclStackRealloc(Tcl_Interp *interp, void *ptr, int numBytes); MODULE_SCOPE int TclStringMatch(const char *str, int strLen, -- cgit v0.12 From 0402319830914ece12c185ad276b382cc4ef15ce Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 1 Jul 2016 19:16:56 +0000 Subject: Add some tests --- tests/namespace.test | 46 ++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 46 insertions(+) diff --git a/tests/namespace.test b/tests/namespace.test index 2ba695a..c433241 100644 --- a/tests/namespace.test +++ b/tests/namespace.test @@ -2107,6 +2107,52 @@ test namespace-50.4 {chained ensembles affect error messages} -body { rename a {} rename c {} } +test namespace-50.5 {[4402cfa58c]} -setup { + proc bar {ev} {} + proc bingo {xx} {} + namespace ensemble create -command launch -map {foo bar event bingo} + set result {} +} -body { + catch {launch foo} m; lappend result $m + catch {launch ev} m; lappend result $m + catch {launch foo} m; lappend result $m +} -cleanup { + rename launch {} + rename bingo {} + rename bar {} +} -result {{wrong # args: should be "launch foo ev"} {wrong # args: should be "launch event xx"} {wrong # args: should be "launch foo ev"}} +test namespace-50.6 {[4402cfa58c]} -setup { + proc target {x y} {} + namespace ensemble create -command e2 -map {s2 target} + namespace ensemble create -command e1 -map {s1 e2} + set result {} +} -body { + set s s + catch {e1 s1 s2 a} m; lappend result $m + catch {e1 $s s2 a} m; lappend result $m + catch {e1 s1 $s a} m; lappend result $m + catch {e1 $s $s a} m; lappend result $m +} -cleanup { + rename e1 {} + rename e2 {} + rename target {} +} -result {{wrong # args: should be "e1 s1 s2 x y"} {wrong # args: should be "e1 s1 s2 x y"} {wrong # args: should be "e1 s1 s2 x y"} {wrong # args: should be "e1 s1 s2 x y"}} +test namespace-50.7 {[4402cfa58c]} -setup { + proc target {x y} {} + namespace ensemble create -command e2 -map {s2 target} + namespace ensemble create -command e1 -map {s1 e2} -parameters foo + set result {} +} -body { + set s s + catch {e1 s2 s1 a} m; lappend result $m + catch {e1 $s s1 a} m; lappend result $m + catch {e1 s2 $s a} m; lappend result $m + catch {e1 $s $s a} m; lappend result $m +} -cleanup { + rename e1 {} + rename e2 {} + rename target {} +} -result {{wrong # args: should be "e1 s2 s1 x y"} {wrong # args: should be "e1 s2 s1 x y"} {wrong # args: should be "e1 s2 s1 x y"} {wrong # args: should be "e1 s2 s1 x y"}} test namespace-51.1 {name resolution path control} -body { namespace eval ::test_ns_1 { -- cgit v0.12 From f7aa28a9960d172ef84736f3609940c5564d5325 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 1 Jul 2016 19:42:38 +0000 Subject: The EnsembleCmdRep struct that is the internal rep for caching ensemble dispatches and spelling corrections can now be file static. --- generic/tclEnsemble.c | 26 +++++++++++++++++++++----- generic/tclInt.h | 17 ----------------- 2 files changed, 21 insertions(+), 22 deletions(-) diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index 75c2747..5c47ce3 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -76,7 +76,7 @@ enum EnsConfigOpts { * that implements it. */ -const Tcl_ObjType tclEnsembleCmdType = { +static const Tcl_ObjType ensembleCmdType = { "ensembleCommand", /* the type's name */ FreeEnsembleCmdRep, /* freeIntRepProc */ DupEnsembleCmdRep, /* dupIntRepProc */ @@ -84,6 +84,22 @@ const Tcl_ObjType tclEnsembleCmdType = { NULL /* setFromAnyProc */ }; +/* + * The internal rep for caching ensemble subcommand lookups and + * spell corrections. + */ + +typedef struct { + int epoch; /* Used to confirm when the data in this + * really structure matches up with the + * ensemble. */ + Tcl_Command token; /* Reference to the comamnd for which this + * structure is a cache of the resolution. */ + Tcl_Obj *fix; /* Corrected spelling, if needed. */ + Tcl_HashEntry *hPtr; /* Direct link to entry in the subcommand + * hash table. */ +} EnsembleCmdRep; + static inline Tcl_Obj * NewNsObj( @@ -1707,7 +1723,7 @@ NsEnsembleImplementationCmdNR( * part where we do the invocation of the subcommand. */ - if (subObj->typePtr==&tclEnsembleCmdType){ + if (subObj->typePtr==&ensembleCmdType){ EnsembleCmdRep *ensembleCmd = subObj->internalRep.twoPtrValue.ptr1; if (ensembleCmd->epoch == ensemblePtr->epoch && @@ -2366,7 +2382,7 @@ MakeCachedEnsembleCommand( { register EnsembleCmdRep *ensembleCmd; - if (objPtr->typePtr == &tclEnsembleCmdType) { + if (objPtr->typePtr == &ensembleCmdType) { ensembleCmd = objPtr->internalRep.twoPtrValue.ptr1; if (ensembleCmd->fix) { Tcl_DecrRefCount(ensembleCmd->fix); @@ -2380,7 +2396,7 @@ MakeCachedEnsembleCommand( TclFreeIntRep(objPtr); ensembleCmd = ckalloc(sizeof(EnsembleCmdRep)); objPtr->internalRep.twoPtrValue.ptr1 = ensembleCmd; - objPtr->typePtr = &tclEnsembleCmdType; + objPtr->typePtr = &ensembleCmdType; } /* @@ -2807,7 +2823,7 @@ DupEnsembleCmdRep( EnsembleCmdRep *ensembleCmd = objPtr->internalRep.twoPtrValue.ptr1; EnsembleCmdRep *ensembleCopy = ckalloc(sizeof(EnsembleCmdRep)); - copyPtr->typePtr = &tclEnsembleCmdType; + copyPtr->typePtr = &ensembleCmdType; copyPtr->internalRep.twoPtrValue.ptr1 = ensembleCopy; ensembleCopy->epoch = ensembleCmd->epoch; ensembleCopy->token = ensembleCmd->token; diff --git a/generic/tclInt.h b/generic/tclInt.h index 03b648d..fba4c7b 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -390,23 +390,6 @@ struct NamespacePathEntry { #define TCL_FIND_ONLY_NS 0x1000 /* - * The data cached in an ensemble subcommand's Tcl_Obj rep (reference in - * twoPtrValue.ptr1 field). This structure is not shared between Tcl_Objs - * referring to the same subcommand, even where one is a duplicate of another. - */ - -typedef struct { - int epoch; /* Used to confirm when the data in this - * really structure matches up with the - * ensemble. */ - Tcl_Command token; /* Reference to the comamnd for which this - * structure is a cache of the resolution. */ - Tcl_Obj *fix; /* Corrected spelling, if needed. */ - Tcl_HashEntry *hPtr; /* Direct link to entry in the subcommand - * hash table. */ -} EnsembleCmdRep; - -/* * The client data for an ensemble command. This consists of the table of * commands that are actually exported by the namespace, and an epoch counter * that, combined with the exportLookupEpoch field of the namespace structure, -- cgit v0.12 From a139661621ec842c91242c4b0fca910b9c964398 Mon Sep 17 00:00:00 2001 From: dgp Date: Sat, 2 Jul 2016 17:21:53 +0000 Subject: [f961d7d1dd] Repair usage message for ensemble parameters with spaces. --- generic/tclEnsemble.c | 13 +++---------- tests/namespace.test | 9 +++++++++ 2 files changed, 12 insertions(+), 10 deletions(-) diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index 5c47ce3..a86b5c4 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -1674,18 +1674,11 @@ NsEnsembleImplementationCmdNR( */ Tcl_DString buf; /* Message being built */ - Tcl_Obj **elemPtrs; /* Parameter names */ - int len; /* Number of parameters to append */ Tcl_DStringInit(&buf); - if (ensemblePtr->parameterList == NULL) { - len = 0; - } else if (TclListObjGetElements(NULL, ensemblePtr->parameterList, - &len, &elemPtrs) != TCL_OK) { - Tcl_Panic("List of ensemble parameters is not a list"); - } - for (; len>0; len--,elemPtrs++) { - TclDStringAppendObj(&buf, *elemPtrs); + if (ensemblePtr->parameterList) { + Tcl_DStringAppend(&buf, + TclGetString(ensemblePtr->parameterList), -1); TclDStringAppendLiteral(&buf, " "); } TclDStringAppendLiteral(&buf, "subcommand ?arg ...?"); diff --git a/tests/namespace.test b/tests/namespace.test index c433241..dc1d3bf 100644 --- a/tests/namespace.test +++ b/tests/namespace.test @@ -2153,6 +2153,15 @@ test namespace-50.7 {[4402cfa58c]} -setup { rename e2 {} rename target {} } -result {{wrong # args: should be "e1 s2 s1 x y"} {wrong # args: should be "e1 s2 s1 x y"} {wrong # args: should be "e1 s2 s1 x y"} {wrong # args: should be "e1 s2 s1 x y"}} +test namespace-50.8 {[f961d7d1dd]} -setup { + proc target {} {} + namespace ensemble create -command e -map {s target} -parameters {{a b}} +} -body { + e +} -returnCodes error -result {wrong # args: should be "e {a b} subcommand ?arg ...?"} -cleanup { + rename e {} + rename target {} +} test namespace-51.1 {name resolution path control} -body { namespace eval ::test_ns_1 { -- cgit v0.12 From 40f7c9d9a4db96328d9933e0675ece7362bffc1c Mon Sep 17 00:00:00 2001 From: dgp Date: Sat, 2 Jul 2016 17:55:51 +0000 Subject: [09fabeb1fd] test subdirs in sorted order. --- library/tcltest/tcltest.tcl | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/library/tcltest/tcltest.tcl b/library/tcltest/tcltest.tcl index 169b7d4..f1ce970 100644 --- a/library/tcltest/tcltest.tcl +++ b/library/tcltest/tcltest.tcl @@ -2709,7 +2709,7 @@ proc tcltest::GetMatchingDirectories {rootdir} { DebugPuts 1 "No test directories remain after applying match\ and skip patterns!" } - return $matchDirs + return [lsort $matchDirs] } # tcltest::runAllTests -- -- cgit v0.12 From 2f4c482ac0cec564faea01f71d44f481d96f9e9e Mon Sep 17 00:00:00 2001 From: dgp Date: Sun, 3 Jul 2016 14:09:45 +0000 Subject: Use conventional list operations for ensemble dispatch. --- generic/tclEnsemble.c | 57 +++++++++++++++++++++------------------------------ 1 file changed, 23 insertions(+), 34 deletions(-) diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index a86b5c4..17ab35b 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -41,6 +41,9 @@ static int CompileBasicNArgCommand(Tcl_Interp *interp, Tcl_Parse *parsePtr, Command *cmdPtr, CompileEnv *envPtr); +static Tcl_NRPostProc FreeObj; +static Tcl_NRPostProc FreeER; + /* * The lists of subcommands and options for the [namespace ensemble] command. */ @@ -1843,45 +1846,31 @@ NsEnsembleImplementationCmdNR( */ { - Tcl_Obj **prefixObjv; /* The list of objects to substitute in as the - * target command prefix. */ Tcl_Obj *copyPtr; /* The actual list of words to dispatch to. * Will be freed by the dispatch engine. */ - int prefixObjc, copyObjc; + int prefixObjc; + + Tcl_ListObjLength(NULL, prefixObj, &prefixObjc); + if (0 && objc == 2) { /* - * Get the prefix that we're rewriting to. To do this we need to - * ensure that the internal representation of the list does not change - * so that we can safely keep the internal representations of the - * elements in the list. - * - * TODO: Use conventional list operations to make this code sane! + * TODO: This branch is disabled because it botches or exposes + * something wrong with nested ensemble usage messages. See + * tests oo-16.1 and oo-17.1 */ - - TclListObjGetElements(NULL, prefixObj, &prefixObjc, &prefixObjv); - - copyObjc = objc - 2 + prefixObjc; - copyPtr = Tcl_NewListObj(copyObjc, NULL); - if (copyObjc > 0) { - register Tcl_Obj **copyObjv; - /* Space used to construct the list of - * arguments to pass to the command that - * implements the ensemble subcommand. */ - register List *listRepPtr = copyPtr->internalRep.twoPtrValue.ptr1; - register int i; - - listRepPtr->elemCount = copyObjc; - copyObjv = &listRepPtr->elements; - memcpy(copyObjv, prefixObjv, sizeof(Tcl_Obj *) * prefixObjc); - memcpy(copyObjv+prefixObjc, objv+1, - sizeof(Tcl_Obj *) * ensemblePtr->numParameters); - memcpy(copyObjv+prefixObjc+ensemblePtr->numParameters, - objv+ensemblePtr->numParameters+2, - sizeof(Tcl_Obj *) * (objc-ensemblePtr->numParameters-2)); - - for (i=0; i < copyObjc; i++) { - Tcl_IncrRefCount(copyObjv[i]); - } + copyPtr = prefixObj; + Tcl_IncrRefCount(copyPtr); + TclNRAddCallback(interp, FreeObj, copyPtr, NULL, NULL, NULL); + } else { + int copyObjc = objc - 2 + prefixObjc; + + copyPtr = Tcl_NewListObj(copyObjc, NULL); + Tcl_ListObjAppendList(NULL, copyPtr, prefixObj); + Tcl_ListObjReplace(NULL, copyPtr, LIST_MAX, 0, + ensemblePtr->numParameters, objv+1); + Tcl_ListObjReplace(NULL, copyPtr, LIST_MAX, 0, + objc - 2 - ensemblePtr->numParameters, + objv + 2 + ensemblePtr->numParameters); } TclDecrRefCount(prefixObj); -- cgit v0.12 From 8bd5f8fc4af842fb4f757eabeb38dcc91a87b4bc Mon Sep 17 00:00:00 2001 From: dkf Date: Mon, 4 Jul 2016 08:18:53 +0000 Subject: Add ability to disassemble TclOO constructors and destructors ([1493a43044] motivates) --- generic/tclDisassemble.c | 135 ++++++++++++++++++++++++++++++++++++++++++++++- tests/compile.test | 99 +++++++++++++++++++++++++++++++++- 2 files changed, 232 insertions(+), 2 deletions(-) diff --git a/generic/tclDisassemble.c b/generic/tclDisassemble.c index c85fe13..1d616fb 100644 --- a/generic/tclDisassemble.c +++ b/generic/tclDisassemble.c @@ -6,7 +6,7 @@ * * Copyright (c) 1996-1998 Sun Microsystems, Inc. * Copyright (c) 2001 by Kevin B. Kenny. All rights reserved. - * Copyright (c) 2013 Donal K. Fellows. + * Copyright (c) 2013-2016 Donal K. Fellows. * * See the file "license.terms" for information on usage and redistribution of * this file, and for a DISCLAIMER OF ALL WARRANTIES. @@ -1279,9 +1279,11 @@ Tcl_DisassembleObjCmd( Tcl_Obj *const objv[]) /* Argument objects. */ { static const char *const types[] = { + "constructor", "destructor", "lambda", "method", "objmethod", "proc", "script", NULL }; enum Types { + DISAS_CLASS_CONSTRUCTOR, DISAS_CLASS_DESTRUCTOR, DISAS_LAMBDA, DISAS_CLASS_METHOD, DISAS_OBJECT_METHOD, DISAS_PROC, DISAS_SCRIPT }; @@ -1290,6 +1292,7 @@ Tcl_DisassembleObjCmd( Proc *procPtr = NULL; Tcl_HashEntry *hPtr; Object *oPtr; + Method *methodPtr; if (objc < 2) { Tcl_WrongNumArgs(interp, 1, objv, "type ..."); @@ -1384,6 +1387,136 @@ Tcl_DisassembleObjCmd( codeObjPtr = objv[2]; break; + case DISAS_CLASS_CONSTRUCTOR: + if (objc != 3) { + Tcl_WrongNumArgs(interp, 2, objv, "className"); + return TCL_ERROR; + } + + /* + * Look up the body of a constructor. + */ + + oPtr = (Object *) Tcl_GetObjectFromObj(interp, objv[2]); + if (oPtr == NULL) { + return TCL_ERROR; + } + if (oPtr->classPtr == NULL) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "\"%s\" is not a class", TclGetString(objv[2]))); + Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "CLASS", + TclGetString(objv[2]), NULL); + return TCL_ERROR; + } + + methodPtr = oPtr->classPtr->constructorPtr; + if (methodPtr == NULL) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "\"%s\" has no defined constructor", + TclGetString(objv[2]))); + Tcl_SetErrorCode(interp, "TCL", "OPERATION", "DISASSEMBLE", + "CONSRUCTOR", NULL); + return TCL_ERROR; + } + procPtr = TclOOGetProcFromMethod(methodPtr); + if (procPtr == NULL) { + Tcl_SetObjResult(interp, Tcl_NewStringObj( + "body not available for this kind of constructor", -1)); + Tcl_SetErrorCode(interp, "TCL", "OPERATION", "DISASSEMBLE", + "METHODTYPE", NULL); + return TCL_ERROR; + } + + /* + * Compile if necessary. + */ + + if (procPtr->bodyPtr->typePtr != &tclByteCodeType) { + Command cmd; + + /* + * Yes, this is ugly, but we need to pass the namespace in to the + * compiler in two places. + */ + + cmd.nsPtr = (Namespace *) oPtr->namespacePtr; + procPtr->cmdPtr = &cmd; + result = TclProcCompileProc(interp, procPtr, procPtr->bodyPtr, + (Namespace *) oPtr->namespacePtr, "body of constructor", + TclGetString(objv[2])); + procPtr->cmdPtr = NULL; + if (result != TCL_OK) { + return result; + } + } + codeObjPtr = procPtr->bodyPtr; + break; + + case DISAS_CLASS_DESTRUCTOR: + if (objc != 3) { + Tcl_WrongNumArgs(interp, 2, objv, "className"); + return TCL_ERROR; + } + + /* + * Look up the body of a destructor. + */ + + oPtr = (Object *) Tcl_GetObjectFromObj(interp, objv[2]); + if (oPtr == NULL) { + return TCL_ERROR; + } + if (oPtr->classPtr == NULL) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "\"%s\" is not a class", TclGetString(objv[2]))); + Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "CLASS", + TclGetString(objv[2]), NULL); + return TCL_ERROR; + } + + methodPtr = oPtr->classPtr->destructorPtr; + if (methodPtr == NULL) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "\"%s\" has no defined destructor", + TclGetString(objv[2]))); + Tcl_SetErrorCode(interp, "TCL", "OPERATION", "DISASSEMBLE", + "DESRUCTOR", NULL); + return TCL_ERROR; + } + procPtr = TclOOGetProcFromMethod(methodPtr); + if (procPtr == NULL) { + Tcl_SetObjResult(interp, Tcl_NewStringObj( + "body not available for this kind of destructor", -1)); + Tcl_SetErrorCode(interp, "TCL", "OPERATION", "DISASSEMBLE", + "METHODTYPE", NULL); + return TCL_ERROR; + } + + /* + * Compile if necessary. + */ + + if (procPtr->bodyPtr->typePtr != &tclByteCodeType) { + Command cmd; + + /* + * Yes, this is ugly, but we need to pass the namespace in to the + * compiler in two places. + */ + + cmd.nsPtr = (Namespace *) oPtr->namespacePtr; + procPtr->cmdPtr = &cmd; + result = TclProcCompileProc(interp, procPtr, procPtr->bodyPtr, + (Namespace *) oPtr->namespacePtr, "body of destructor", + TclGetString(objv[2])); + procPtr->cmdPtr = NULL; + if (result != TCL_OK) { + return result; + } + } + codeObjPtr = procPtr->bodyPtr; + break; + case DISAS_CLASS_METHOD: if (objc != 4) { Tcl_WrongNumArgs(interp, 2, objv, "className methodName"); diff --git a/tests/compile.test b/tests/compile.test index bb12050..f021cf2 100644 --- a/tests/compile.test +++ b/tests/compile.test @@ -678,7 +678,7 @@ test compile-17.2 {Command interpretation binding for non-compiled code} -setup # change without warning. set disassemblables [linsert [join { - lambda method objmethod proc script + constructor destructor lambda method objmethod proc script } ", "] end-1 or] test compile-18.1 {disassembler - basics} -returnCodes error -body { tcl::unsupported::disassemble @@ -872,6 +872,103 @@ test compile-18.39 {disassembler - basics} -setup { } -cleanup { foo destroy } -result "$bytecodekeys initiallinenumber sourcefile" +test compile-18.40 {disassembler - basics} -returnCodes error -body { + tcl::unsupported::disassemble constructor +} -match glob -result {wrong # args: should be "* constructor className"} +test compile-18.41 {disassembler - basics} -returnCodes error -body { + tcl::unsupported::disassemble constructor nosuchclass +} -result {nosuchclass does not refer to an object} +test compile-18.42 {disassembler - basics} -returnCodes error -setup { + oo::object create justanobject +} -body { + tcl::unsupported::disassemble constructor justanobject +} -cleanup { + justanobject destroy +} -result {"justanobject" is not a class} +test compile-18.43 {disassembler - basics} -returnCodes error -setup { + oo::class create constructorless +} -body { + tcl::unsupported::disassemble constructor constructorless +} -cleanup { + constructorless destroy +} -result {"constructorless" has no defined constructor} +test compile-18.44 {disassembler - basics} -setup { + oo::class create foo {constructor {} {set x 1}} +} -body { + # Allow any string: the result format is not defined anywhere! + tcl::unsupported::disassemble constructor foo +} -cleanup { + foo destroy +} -match glob -result * +test compile-18.45 {disassembler - basics} -returnCodes error -body { + tcl::unsupported::getbytecode constructor +} -match glob -result {wrong # args: should be "* constructor className"} +test compile-18.46 {disassembler - basics} -returnCodes error -body { + tcl::unsupported::getbytecode constructor nosuchobject +} -result {nosuchobject does not refer to an object} +test compile-18.47 {disassembler - basics} -returnCodes error -setup { + oo::class create constructorless +} -body { + tcl::unsupported::getbytecode constructor constructorless +} -cleanup { + constructorless destroy +} -result {"constructorless" has no defined constructor} +test compile-18.48 {disassembler - basics} -setup { + oo::class create foo {constructor {} {set x 1}} +} -body { + dict keys [tcl::unsupported::getbytecode constructor foo] +} -cleanup { + foo destroy +} -result "$bytecodekeys" +# There is no compile-18.49 +test compile-18.50 {disassembler - basics} -returnCodes error -body { + tcl::unsupported::disassemble destructor +} -match glob -result {wrong # args: should be "* destructor className"} +test compile-18.51 {disassembler - basics} -returnCodes error -body { + tcl::unsupported::disassemble destructor nosuchclass +} -result {nosuchclass does not refer to an object} +test compile-18.52 {disassembler - basics} -returnCodes error -setup { + oo::object create justanobject +} -body { + tcl::unsupported::disassemble destructor justanobject +} -cleanup { + justanobject destroy +} -result {"justanobject" is not a class} +test compile-18.53 {disassembler - basics} -returnCodes error -setup { + oo::class create constructorless +} -body { + tcl::unsupported::disassemble destructor constructorless +} -cleanup { + constructorless destroy +} -result {"constructorless" has no defined destructor} +test compile-18.54 {disassembler - basics} -setup { + oo::class create foo {destructor {set x 1}} +} -body { + # Allow any string: the result format is not defined anywhere! + tcl::unsupported::disassemble destructor foo +} -cleanup { + foo destroy +} -match glob -result * +test compile-18.55 {disassembler - basics} -returnCodes error -body { + tcl::unsupported::getbytecode destructor +} -match glob -result {wrong # args: should be "* destructor className"} +test compile-18.56 {disassembler - basics} -returnCodes error -body { + tcl::unsupported::getbytecode destructor nosuchobject +} -result {nosuchobject does not refer to an object} +test compile-18.57 {disassembler - basics} -returnCodes error -setup { + oo::class create constructorless +} -body { + tcl::unsupported::getbytecode destructor constructorless +} -cleanup { + constructorless destroy +} -result {"constructorless" has no defined destructor} +test compile-18.58 {disassembler - basics} -setup { + oo::class create foo {destructor {set x 1}} +} -body { + dict keys [tcl::unsupported::getbytecode destructor foo] +} -cleanup { + foo destroy +} -result "$bytecodekeys" test compile-19.0 {Bug 3614102: reset stack housekeeping} -body { # This will panic in a --enable-symbols=compile build, unless bug is fixed. -- cgit v0.12 From ca96c2bbccf3088770bcf436a51cb20176f08232 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 4 Jul 2016 08:36:41 +0000 Subject: typo and end-of-line spacing --- doc/SetResult.3 | 2 +- generic/tclEnsemble.c | 10 +++++----- 2 files changed, 6 insertions(+), 6 deletions(-) diff --git a/doc/SetResult.3 b/doc/SetResult.3 index dc8f487..e5b81d7 100644 --- a/doc/SetResult.3 +++ b/doc/SetResult.3 @@ -164,7 +164,7 @@ The source interpreter will have its result reset by this operation. .SH "DEPRECATED INTERFACES" .SS "OLD STRING PROCEDURES" .PP -Use of the following procedures (is deprecated +Use of the following procedures is deprecated since they manipulate the Tcl result as a string. Procedures such as \fBTcl_SetObjResult\fR that manipulate the result as a value diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index 17ab35b..6489dea 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -1866,9 +1866,9 @@ NsEnsembleImplementationCmdNR( copyPtr = Tcl_NewListObj(copyObjc, NULL); Tcl_ListObjAppendList(NULL, copyPtr, prefixObj); - Tcl_ListObjReplace(NULL, copyPtr, LIST_MAX, 0, + Tcl_ListObjReplace(NULL, copyPtr, LIST_MAX, 0, ensemblePtr->numParameters, objv+1); - Tcl_ListObjReplace(NULL, copyPtr, LIST_MAX, 0, + Tcl_ListObjReplace(NULL, copyPtr, LIST_MAX, 0, objc - 2 - ensemblePtr->numParameters, objv + 2 + ensemblePtr->numParameters); } @@ -2044,7 +2044,7 @@ TclResetRewriteEnsemble( * * TclSpellFix -- * - * Record a spelling correction that needs making in the + * Record a spelling correction that needs making in the * generation of the WrongNumArgs usage message. * * Results: @@ -2104,7 +2104,7 @@ TclSpellFix( /* Compute the valid length of the ensemble root */ - size = iPtr->ensembleRewrite.numRemovedObjs + objc + size = iPtr->ensembleRewrite.numRemovedObjs + objc - iPtr->ensembleRewrite.numInsertedObjs; search = iPtr->ensembleRewrite.sourceObjs; @@ -2366,7 +2366,7 @@ MakeCachedEnsembleCommand( if (objPtr->typePtr == &ensembleCmdType) { ensembleCmd = objPtr->internalRep.twoPtrValue.ptr1; - if (ensembleCmd->fix) { + if (ensembleCmd->fix) { Tcl_DecrRefCount(ensembleCmd->fix); } } else { -- cgit v0.12 From b49c883bbe8c5aa0620b7bc648e3172b784ef892 Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 4 Jul 2016 20:39:43 +0000 Subject: Fixup the ensemble rewrite conversions. --- generic/tclEnsemble.c | 7 +------ generic/tclExecute.c | 2 -- 2 files changed, 1 insertion(+), 8 deletions(-) diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index 17ab35b..11ec3fc 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -1852,12 +1852,7 @@ NsEnsembleImplementationCmdNR( Tcl_ListObjLength(NULL, prefixObj, &prefixObjc); - if (0 && objc == 2) { - /* - * TODO: This branch is disabled because it botches or exposes - * something wrong with nested ensemble usage messages. See - * tests oo-16.1 and oo-17.1 - */ + if (objc == 2) { copyPtr = prefixObj; Tcl_IncrRefCount(copyPtr); TclNRAddCallback(interp, FreeObj, copyPtr, NULL, NULL, NULL); diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 355b667..1389382 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -2081,8 +2081,6 @@ TclNRExecuteByteCode( * Push the callback for bytecode execution */ - TclResetRewriteEnsemble(interp, 1); - TclNRAddCallback(interp, TEBCresume, TD, /* pc */ NULL, /* cleanup */ INT2PTR(0), NULL); return TCL_OK; -- cgit v0.12 From db45aa4434d4a7af38b8c14072648bf9965d462b Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 5 Jul 2016 17:03:59 +0000 Subject: New tests to demo the remaining flaw in ensemble dispatch revisions. Itcl 4 also demonstrated these problems. --- generic/tclEnsemble.c | 8 +++++++- tests/oo.test | 12 ++++++++++++ 2 files changed, 19 insertions(+), 1 deletion(-) diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index a9698be..818534e 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -1852,7 +1852,13 @@ NsEnsembleImplementationCmdNR( Tcl_ListObjLength(NULL, prefixObj, &prefixObjc); - if (objc == 2) { + if (0 && objc == 2) { + /* + * Branch disabled until it works. See oo-1[67].1.1 + * + * Key here is the difference between the canonical list invocation + * and compilation/execution paths. + */ copyPtr = prefixObj; Tcl_IncrRefCount(copyPtr); TclNRAddCallback(interp, FreeObj, copyPtr, NULL, NULL, NULL); diff --git a/tests/oo.test b/tests/oo.test index 895f7ed..48e093a 100644 --- a/tests/oo.test +++ b/tests/oo.test @@ -2017,6 +2017,12 @@ test oo-15.10 {variable binding must not bleed through oo::copy} -setup { test oo-16.1 {OO: object introspection} -body { info object } -returnCodes 1 -result "wrong \# args: should be \"info object subcommand ?arg ...?\"" +test oo-16.1.1 {OO: object introspection} -body { + catch {info object} m o + dict get $o -errorinfo +} -result "wrong \# args: should be \"info object subcommand ?arg ...?\" + while executing +\"info object\"" test oo-16.2 {OO: object introspection} -body { info object class NOTANOBJECT } -returnCodes 1 -result {NOTANOBJECT does not refer to an object} @@ -2156,6 +2162,12 @@ test oo-16.14 {OO: object introspection: TIP #436} -setup { test oo-17.1 {OO: class introspection} -body { info class } -returnCodes 1 -result "wrong \# args: should be \"info class subcommand ?arg ...?\"" +test oo-17.1.1 {OO: class introspection} -body { + catch {info class} m o + dict get $o -errorinfo +} -result "wrong \# args: should be \"info class subcommand ?arg ...?\" + while executing +\"info class\"" test oo-17.2 {OO: class introspection} -body { info class superclass NOTANOBJECT } -returnCodes 1 -result {NOTANOBJECT does not refer to an object} -- cgit v0.12 From 4b6e8293285a111598e5dc2d37921ca6ff732c45 Mon Sep 17 00:00:00 2001 From: dkf Date: Tue, 5 Jul 2016 22:05:16 +0000 Subject: Demonstrate that there is a problem. --- tests/oo.test | 30 ++++++++++++++++++++++++++++++ 1 file changed, 30 insertions(+) diff --git a/tests/oo.test b/tests/oo.test index 48e093a..88e1124 100644 --- a/tests/oo.test +++ b/tests/oo.test @@ -3424,6 +3424,36 @@ test oo-27.22 {variables declaration uniqueifies: Bug 3396896} -setup { } -cleanup { foo destroy } -result {v t} +test oo-27.23 {variable resolver leakage: Bug 1493a43044} -setup { + oo::class create Super + oo::class create Master { + superclass Super + variable member1 member2 + constructor {} { + set member1 master1 + set member2 master2 + } + method getChild {} { + Child new [self] + } + } + oo::class create Child { + superclass Super + variable member1 result + constructor {m} { + set [namespace current]::member1 child1 + namespace upvar [info object namespace $m] \ + member1 local1 member2 local2 + upvar 1 member1 local3 member2 local4 + set result [list $local1 $local2 $local3 $local4] + } + method result {} {return $result} + } +} -body { + [[Master new] getChild] result +} -cleanup { + Super destroy +} -result {master1 master2 master1 master2} # A feature that's not supported because the mechanism may change without # warning, but is supposed to work... -- cgit v0.12 From 891343f5d41ec457a94e65d9ae347de0f039c68a Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 6 Jul 2016 15:12:53 +0000 Subject: [bd7f17bce8] Revise ensemble dispatch to call TclNREvalObjv() which supports the TCL_EVAL_INVOKE flag that is needed. --- generic/tclEnsemble.c | 26 ++++++++++---------------- 1 file changed, 10 insertions(+), 16 deletions(-) diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index 818534e..fb41580 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -1848,31 +1848,24 @@ NsEnsembleImplementationCmdNR( { Tcl_Obj *copyPtr; /* The actual list of words to dispatch to. * Will be freed by the dispatch engine. */ - int prefixObjc; + Tcl_Obj **copyObjv; + int copyObjc, prefixObjc; Tcl_ListObjLength(NULL, prefixObj, &prefixObjc); - if (0 && objc == 2) { - /* - * Branch disabled until it works. See oo-1[67].1.1 - * - * Key here is the difference between the canonical list invocation - * and compilation/execution paths. - */ - copyPtr = prefixObj; - Tcl_IncrRefCount(copyPtr); - TclNRAddCallback(interp, FreeObj, copyPtr, NULL, NULL, NULL); + if (objc == 2) { + copyPtr = TclListObjCopy(NULL, prefixObj); } else { - int copyObjc = objc - 2 + prefixObjc; - - copyPtr = Tcl_NewListObj(copyObjc, NULL); + copyPtr = Tcl_NewListObj(objc - 2 + prefixObjc, NULL); Tcl_ListObjAppendList(NULL, copyPtr, prefixObj); Tcl_ListObjReplace(NULL, copyPtr, LIST_MAX, 0, - ensemblePtr->numParameters, objv+1); + ensemblePtr->numParameters, objv + 1); Tcl_ListObjReplace(NULL, copyPtr, LIST_MAX, 0, objc - 2 - ensemblePtr->numParameters, objv + 2 + ensemblePtr->numParameters); } + Tcl_IncrRefCount(copyPtr); + TclNRAddCallback(interp, FreeObj, copyPtr, NULL, NULL, NULL); TclDecrRefCount(prefixObj); /* @@ -1892,7 +1885,8 @@ NsEnsembleImplementationCmdNR( */ TclSkipTailcall(interp); - return TclNREvalObjEx(interp, copyPtr, TCL_EVAL_INVOKE, NULL,INT_MIN); + Tcl_ListObjGetElements(NULL, copyPtr, ©Objc, ©Objv); + return TclNREvalObjv(interp, copyObjc, copyObjv, TCL_EVAL_INVOKE, NULL); } unknownOrAmbiguousSubcommand: -- cgit v0.12 From 3b1d8286ed07d9ddcea89d5e11497062a77dc85e Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 6 Jul 2016 15:50:34 +0000 Subject: Simplify all the Tcl_NRPostProc declarations. --- generic/tclBasic.c | 2 +- generic/tclCmdIL.c | 3 +-- generic/tclCmdMZ.c | 12 ++++-------- generic/tclDictObj.c | 18 ++++++------------ generic/tclIOUtil.c | 3 +-- generic/tclInt.h | 3 +-- generic/tclOO.c | 9 +++------ generic/tclOOCall.c | 9 +++------ generic/tclOOMethod.c | 6 ++---- generic/tclTest.c | 3 +-- 10 files changed, 23 insertions(+), 45 deletions(-) diff --git a/generic/tclBasic.c b/generic/tclBasic.c index b0c31cc..7235be1 100644 --- a/generic/tclBasic.c +++ b/generic/tclBasic.c @@ -128,7 +128,7 @@ static void MathFuncWrongNumArgs(Tcl_Interp *interp, int expected, int actual, Tcl_Obj *const *objv); static Tcl_NRPostProc NRCoroutineCallerCallback; static Tcl_NRPostProc NRCoroutineExitCallback; -static int NRCommand(ClientData data[], Tcl_Interp *interp, int result); +static Tcl_NRPostProc NRCommand; static Tcl_ObjCmdProc OldMathFuncProc; static void OldMathFuncDeleteProc(ClientData clientData); diff --git a/generic/tclCmdIL.c b/generic/tclCmdIL.c index c93e593..0a1b4fe 100644 --- a/generic/tclCmdIL.c +++ b/generic/tclCmdIL.c @@ -105,8 +105,7 @@ typedef struct SortInfo { */ static int DictionaryCompare(const char *left, const char *right); -static int IfConditionCallback(ClientData data[], - Tcl_Interp *interp, int result); +static Tcl_NRPostProc IfConditionCallback; static int InfoArgsCmd(ClientData dummy, Tcl_Interp *interp, int objc, Tcl_Obj *const objv[]); static int InfoBodyCmd(ClientData dummy, Tcl_Interp *interp, diff --git a/generic/tclCmdMZ.c b/generic/tclCmdMZ.c index 13f9e7d..885a0bc 100644 --- a/generic/tclCmdMZ.c +++ b/generic/tclCmdMZ.c @@ -22,14 +22,10 @@ static inline Tcl_Obj * During(Tcl_Interp *interp, int resultCode, Tcl_Obj *oldOptions, Tcl_Obj *errorInfo); -static int SwitchPostProc(ClientData data[], Tcl_Interp *interp, - int result); -static int TryPostBody(ClientData data[], Tcl_Interp *interp, - int result); -static int TryPostFinal(ClientData data[], Tcl_Interp *interp, - int result); -static int TryPostHandler(ClientData data[], Tcl_Interp *interp, - int result); +static Tcl_NRPostProc SwitchPostProc; +static Tcl_NRPostProc TryPostBody; +static Tcl_NRPostProc TryPostFinal; +static Tcl_NRPostProc TryPostHandler; static int UniCharIsAscii(int character); static int UniCharIsHexDigit(int character); diff --git a/generic/tclDictObj.c b/generic/tclDictObj.c index c8474e6..428173d 100644 --- a/generic/tclDictObj.c +++ b/generic/tclDictObj.c @@ -70,18 +70,12 @@ static inline void DeleteChainTable(struct Dict *dict); static inline Tcl_HashEntry *CreateChainEntry(struct Dict *dict, Tcl_Obj *keyPtr, int *newPtr); static inline int DeleteChainEntry(struct Dict *dict, Tcl_Obj *keyPtr); -static int FinalizeDictUpdate(ClientData data[], - Tcl_Interp *interp, int result); -static int FinalizeDictWith(ClientData data[], - Tcl_Interp *interp, int result); -static int DictForNRCmd(ClientData dummy, Tcl_Interp *interp, - int objc, Tcl_Obj *const *objv); -static int DictMapNRCmd(ClientData dummy, Tcl_Interp *interp, - int objc, Tcl_Obj *const *objv); -static int DictForLoopCallback(ClientData data[], - Tcl_Interp *interp, int result); -static int DictMapLoopCallback(ClientData data[], - Tcl_Interp *interp, int result); +static Tcl_NRPostProc FinalizeDictUpdate; +static Tcl_NRPostProc FinalizeDictWith; +static Tcl_ObjCmdProc DictForNRCmd; +static Tcl_ObjCmdProc DictMapNRCmd; +static Tcl_NRPostProc DictForLoopCallback; +static Tcl_NRPostProc DictMapLoopCallback; /* * Table of dict subcommand names and implementations. diff --git a/generic/tclIOUtil.c b/generic/tclIOUtil.c index 1330c02..3aa0ce5 100644 --- a/generic/tclIOUtil.c +++ b/generic/tclIOUtil.c @@ -71,8 +71,7 @@ typedef struct ThreadSpecificData { * Prototypes for functions defined later in this file. */ -static int EvalFileCallback(ClientData data[], - Tcl_Interp *interp, int result); +static Tcl_NRPostProc EvalFileCallback; static FilesystemRecord*FsGetFirstFilesystem(void); static void FsThrExitProc(ClientData cd); static Tcl_Obj * FsListMounts(Tcl_Obj *pathPtr, const char *pattern); diff --git a/generic/tclInt.h b/generic/tclInt.h index fba4c7b..afed61b 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -2851,8 +2851,7 @@ MODULE_SCOPE int TclCheckBadOctal(Tcl_Interp *interp, MODULE_SCOPE int TclChanCaughtErrorBypass(Tcl_Interp *interp, Tcl_Channel chan); MODULE_SCOPE Tcl_ObjCmdProc TclChannelNamesCmd; -MODULE_SCOPE int TclClearRootEnsemble(ClientData data[], - Tcl_Interp *interp, int result); +MODULE_SCOPE Tcl_NRPostProc TclClearRootEnsemble; MODULE_SCOPE ContLineLoc *TclContinuationsEnter(Tcl_Obj *objPtr, int num, int *loc); MODULE_SCOPE void TclContinuationsEnterDerived(Tcl_Obj *objPtr, diff --git a/generic/tclOO.c b/generic/tclOO.c index 0454bfe..ec666ee 100644 --- a/generic/tclOO.c +++ b/generic/tclOO.c @@ -68,12 +68,9 @@ static int CloneObjectMethod(Tcl_Interp *interp, Object *oPtr, static void DeletedDefineNamespace(ClientData clientData); static void DeletedObjdefNamespace(ClientData clientData); static void DeletedHelpersNamespace(ClientData clientData); -static int FinalizeAlloc(ClientData data[], - Tcl_Interp *interp, int result); -static int FinalizeNext(ClientData data[], - Tcl_Interp *interp, int result); -static int FinalizeObjectCall(ClientData data[], - Tcl_Interp *interp, int result); +static Tcl_NRPostProc FinalizeAlloc; +static Tcl_NRPostProc FinalizeNext; +static Tcl_NRPostProc FinalizeObjectCall; static int InitFoundation(Tcl_Interp *interp); static void KillFoundation(ClientData clientData, Tcl_Interp *interp); diff --git a/generic/tclOOCall.c b/generic/tclOOCall.c index facf90d..1797760 100644 --- a/generic/tclOOCall.c +++ b/generic/tclOOCall.c @@ -70,15 +70,12 @@ static void AddSimpleClassChainToCallContext(Class *classPtr, Class *const filterDecl); static int CmpStr(const void *ptr1, const void *ptr2); static void DupMethodNameRep(Tcl_Obj *srcPtr, Tcl_Obj *dstPtr); -static int FinalizeMethodRefs(ClientData data[], - Tcl_Interp *interp, int result); +static Tcl_NRPostProc FinalizeMethodRefs; static void FreeMethodNameRep(Tcl_Obj *objPtr); static inline int IsStillValid(CallChain *callPtr, Object *oPtr, int flags, int reuseMask); -static int ResetFilterFlags(ClientData data[], - Tcl_Interp *interp, int result); -static int SetFilterFlags(ClientData data[], - Tcl_Interp *interp, int result); +static Tcl_NRPostProc ResetFilterFlags; +static Tcl_NRPostProc SetFilterFlags; static inline void StashCallChain(Tcl_Obj *objPtr, CallChain *callPtr); /* diff --git a/generic/tclOOMethod.c b/generic/tclOOMethod.c index a311ddb..99a8bfc 100644 --- a/generic/tclOOMethod.c +++ b/generic/tclOOMethod.c @@ -70,10 +70,8 @@ static Tcl_Obj ** InitEnsembleRewrite(Tcl_Interp *interp, int objc, static int InvokeProcedureMethod(ClientData clientData, Tcl_Interp *interp, Tcl_ObjectContext context, int objc, Tcl_Obj *const *objv); -static int FinalizeForwardCall(ClientData data[], Tcl_Interp *interp, - int result); -static int FinalizePMCall(ClientData data[], Tcl_Interp *interp, - int result); +static Tcl_NRPostProc FinalizeForwardCall; +static Tcl_NRPostProc FinalizePMCall; static int PushMethodCallFrame(Tcl_Interp *interp, CallContext *contextPtr, ProcedureMethod *pmPtr, int objc, Tcl_Obj *const *objv, diff --git a/generic/tclTest.c b/generic/tclTest.c index 4695ab5..e33d263 100644 --- a/generic/tclTest.c +++ b/generic/tclTest.c @@ -413,8 +413,7 @@ static int TestHashSystemHashCmd(ClientData clientData, Tcl_Interp *interp, int objc, Tcl_Obj *const objv[]); -static int NREUnwind_callback(ClientData data[], Tcl_Interp *interp, - int result); +static Tcl_NRPostProc NREUnwind_callback; static int TestNREUnwind(ClientData clientData, Tcl_Interp *interp, int objc, Tcl_Obj *const objv[]); -- cgit v0.12 From 5afe70d02240e1acbe825478808f3ef27847c025 Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 6 Jul 2016 16:47:37 +0000 Subject: Create and use a utility Tcl_NRPostProc when decr ref count of values is all that is needed. --- generic/tclBasic.c | 19 +++++++++++++------ generic/tclEnsemble.c | 17 ++--------------- generic/tclInt.h | 1 + 3 files changed, 16 insertions(+), 21 deletions(-) diff --git a/generic/tclBasic.c b/generic/tclBasic.c index 7235be1..d6a460d 100644 --- a/generic/tclBasic.c +++ b/generic/tclBasic.c @@ -146,7 +146,6 @@ static int TEOV_RunEnterTraces(Tcl_Interp *interp, Command **cmdPtrPtr, Tcl_Obj *commandPtr, int objc, Tcl_Obj *const objv[]); static Tcl_NRPostProc RewindCoroutineCallback; -static Tcl_NRPostProc TailcallCleanup; static Tcl_NRPostProc TEOEx_ByteCodeCallback; static Tcl_NRPostProc TEOEx_ListCallback; static Tcl_NRPostProc TEOV_Error; @@ -8371,7 +8370,7 @@ TclNRTailcallEval( * a now-gone namespace: cleanup and return. */ - TailcallCleanup(data, interp, result); + Tcl_DecrRefCount(listPtr); return result; } @@ -8380,18 +8379,26 @@ TclNRTailcallEval( */ TclMarkTailcall(interp); - TclNRAddCallback(interp, TailcallCleanup, listPtr, NULL, NULL,NULL); + TclNRAddCallback(interp, TclNRReleaseValues, listPtr, NULL, NULL,NULL); iPtr->lookupNsPtr = (Namespace *) nsPtr; return TclNREvalObjv(interp, objc-1, objv+1, 0, NULL); } -static int -TailcallCleanup( +int +TclNRReleaseValues( ClientData data[], Tcl_Interp *interp, int result) { - Tcl_DecrRefCount((Tcl_Obj *) data[0]); + int i = 0; + while (i < 4) { + if (data[i]) { + Tcl_DecrRefCount((Tcl_Obj *) data[i]); + } else { + break; + } + i++; + } return result; } diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index fb41580..ee81aee 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -41,7 +41,6 @@ static int CompileBasicNArgCommand(Tcl_Interp *interp, Tcl_Parse *parsePtr, Command *cmdPtr, CompileEnv *envPtr); -static Tcl_NRPostProc FreeObj; static Tcl_NRPostProc FreeER; /* @@ -1865,7 +1864,7 @@ NsEnsembleImplementationCmdNR( objv + 2 + ensemblePtr->numParameters); } Tcl_IncrRefCount(copyPtr); - TclNRAddCallback(interp, FreeObj, copyPtr, NULL, NULL, NULL); + TclNRAddCallback(interp, TclNRReleaseValues, copyPtr, NULL, NULL, NULL); TclDecrRefCount(prefixObj); /* @@ -2064,18 +2063,6 @@ FreeER( return result; } -static int -FreeObj( - ClientData data[], - Tcl_Interp *interp, - int result) -{ - Tcl_Obj *objPtr = (Tcl_Obj *)data[0]; - - Tcl_DecrRefCount(objPtr); - return result; -} - void TclSpellFix( Tcl_Interp *interp, @@ -2151,7 +2138,7 @@ TclSpellFix( store[idx] = fix; Tcl_IncrRefCount(fix); - TclNRAddCallback(interp, FreeObj, fix, NULL, NULL, NULL); + TclNRAddCallback(interp, TclNRReleaseValues, fix, NULL, NULL, NULL); } /* diff --git a/generic/tclInt.h b/generic/tclInt.h index afed61b..a6cc627 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -2741,6 +2741,7 @@ MODULE_SCOPE Tcl_ObjCmdProc TclNRYieldObjCmd; MODULE_SCOPE Tcl_ObjCmdProc TclNRYieldmObjCmd; MODULE_SCOPE Tcl_ObjCmdProc TclNRYieldToObjCmd; MODULE_SCOPE Tcl_ObjCmdProc TclNRInvoke; +MODULE_SCOPE Tcl_NRPostProc TclNRReleaseValues; MODULE_SCOPE void TclSetTailcall(Tcl_Interp *interp, Tcl_Obj *tailcallPtr); MODULE_SCOPE void TclPushTailcallPoint(Tcl_Interp *interp); -- cgit v0.12 From 0aa3b5113db3c6c750aa4bbcfdb657dec48c0de1 Mon Sep 17 00:00:00 2001 From: ashok Date: Thu, 7 Jul 2016 06:30:58 +0000 Subject: Bugfix [5d7ea04580]. Treat .cmd and .ps1 files are executable on Windows. --- doc/file.n | 4 +++- tests/cmdAH.test | 23 +++++++++++------------ tests/fileName.test | 14 ++++++++------ win/tclWinFile.c | 4 +++- 4 files changed, 25 insertions(+), 20 deletions(-) diff --git a/doc/file.n b/doc/file.n index 8e765da..eeb67ed 100644 --- a/doc/file.n +++ b/doc/file.n @@ -162,7 +162,9 @@ returns \fB/home\fR (or something similar). \fBfile executable \fIname\fR . Returns \fB1\fR if file \fIname\fR is executable by the current user, -\fB0\fR otherwise. +\fB0\fR otherwise. On Windows, which does not have an executable attribute, +the command treats all directories and any files with extensions +\fBexe\fR, \fBcom\fR, \fBcmd\fR, \fBbat\fR or \fBps1\fR as executable. .TP \fBfile exists \fIname\fR . diff --git a/tests/cmdAH.test b/tests/cmdAH.test index 64cfeba..f2f7f8c 100644 --- a/tests/cmdAH.test +++ b/tests/cmdAH.test @@ -879,19 +879,18 @@ test cmdAH-18.3 {Tcl_FileObjCmd: executable} {unix testchmod} { test cmdAH-18.5 {Tcl_FileObjCmd: executable} -constraints {win} -body { # On pc, must be a .exe, .com, etc. set x [file exe $gorpfile] - set gorpexe [makeFile foo gorp.exe] - lappend x [file exe $gorpexe] -} -cleanup { - removeFile $gorpexe -} -result {0 1} -test cmdAH-18.5.1 {Tcl_FileObjCmd: executable} -constraints {win} -body { - # On pc, must be a .exe, .com, etc. - set x [file exe $gorpfile] - set gorpexe [makeFile foo gorp.exe] - lappend x [file exe [string toupper $gorpexe]] + set gorpexes {} + foreach ext {exe com cmd bat ps1} { + set gorpexe [makeFile foo gorp.$ext] + lappend gorpexes $gorpexe + lappend x [file exe $gorpexe] [file exe [string toupper $gorpexe]] + } + set x } -cleanup { - removeFile $gorpexe -} -result {0 1} + foreach gorpexe $gorpexes { + removeFile $gorpexe + } +} -result {0 1 1 1 1 1 1 1 1 1 1} test cmdAH-18.6 {Tcl_FileObjCmd: executable} {} { # Directories are always executable. file exe $dirfile diff --git a/tests/fileName.test b/tests/fileName.test index 51f00d1..a19bd1e 100644 --- a/tests/fileName.test +++ b/tests/fileName.test @@ -1468,14 +1468,16 @@ if {[testConstraint testsetplatform]} { } test filename-17.2 {windows specific glob with executable} -body { makeDirectory execglob - makeFile contents execglob/abc.exe - makeFile contents execglob/abc.notexecutable - glob -nocomplain -dir [temporaryDirectory]/execglob -tails -types x * + foreach ext {exe com cmd bat ps1 notexecutable} { + makeFile contents execglob/abc.$ext + } + lsort [glob -nocomplain -dir [temporaryDirectory]/execglob -tails -types x *] } -constraints {win} -cleanup { - removeFile execglob/abc.exe - removeFile execglob/abc.notexecutable + foreach ext {exe com cmd bat ps1 notexecutable} { + removeFile execglob/abc.$ext + } removeDirectory execglob -} -result {abc.exe} +} -result {abc.bat abc.cmd abc.com abc.exe abc.ps1} test filename-17.3 {Bug 2571597} win { set p /a file pathtype $p diff --git a/win/tclWinFile.c b/win/tclWinFile.c index 25c6ea4..4b0b884 100755 --- a/win/tclWinFile.c +++ b/win/tclWinFile.c @@ -1769,7 +1769,7 @@ NativeAccess( * NativeIsExec -- * * Determines if a path is executable. On windows this is simply defined - * by whether the path ends in any of ".exe", ".com", or ".bat" + * by whether the path ends in a standard executable extension. * * Results: * 1 = executable, 0 = not. @@ -1793,6 +1793,8 @@ NativeIsExec( if ((_tcsicmp(path+len-3, TEXT("exe")) == 0) || (_tcsicmp(path+len-3, TEXT("com")) == 0) + || (_tcsicmp(path+len-3, TEXT("cmd")) == 0) + || (_tcsicmp(path+len-3, TEXT("ps1")) == 0) || (_tcsicmp(path+len-3, TEXT("bat")) == 0)) { return 1; } -- cgit v0.12 From cb3f1f4d66a91e4efc123a4518e8fa171af58145 Mon Sep 17 00:00:00 2001 From: dkf Date: Thu, 7 Jul 2016 08:35:30 +0000 Subject: Also test the interpreted path. --- tests/oo.test | 12 +++++++----- 1 file changed, 7 insertions(+), 5 deletions(-) diff --git a/tests/oo.test b/tests/oo.test index 88e1124..2601c37 100644 --- a/tests/oo.test +++ b/tests/oo.test @@ -3442,10 +3442,12 @@ test oo-27.23 {variable resolver leakage: Bug 1493a43044} -setup { variable member1 result constructor {m} { set [namespace current]::member1 child1 - namespace upvar [info object namespace $m] \ - member1 local1 member2 local2 - upvar 1 member1 local3 member2 local4 - set result [list $local1 $local2 $local3 $local4] + set ns [info object namespace $m] + namespace upvar $ns member1 l1 member2 l2 + upvar 1 member1 l3 member2 l4 + [format namespace] upvar $ns member1 l5 member2 l6 + [format upvar] 1 member1 l7 member2 l8 + set result [list $l1 $l2 $l3 $l4 $l5 $l6 $l7 $l8] } method result {} {return $result} } @@ -3453,7 +3455,7 @@ test oo-27.23 {variable resolver leakage: Bug 1493a43044} -setup { [[Master new] getChild] result } -cleanup { Super destroy -} -result {master1 master2 master1 master2} +} -result {master1 master2 master1 master2 master1 master2 master1 master2} # A feature that's not supported because the mechanism may change without # warning, but is supposed to work... -- cgit v0.12 From 38f4a53699309fdec415cf81e5c2ba6137ff8cf4 Mon Sep 17 00:00:00 2001 From: dkf Date: Thu, 7 Jul 2016 10:08:44 +0000 Subject: Expose the AVOID_RESOLVERS flag to [namespace upvar] implementations, which seem to need it. --- generic/tclExecute.c | 4 ++-- generic/tclInt.h | 15 ++++++++++++++ generic/tclNamesp.c | 4 ++-- generic/tclVar.c | 55 ++++++++++++++++++++-------------------------------- 4 files changed, 40 insertions(+), 38 deletions(-) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 1389382..8ddefda 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -4413,8 +4413,8 @@ TEBCresume( savedNsPtr = iPtr->varFramePtr->nsPtr; iPtr->varFramePtr->nsPtr = (Namespace *) nsPtr; otherPtr = TclObjLookupVarEx(interp, OBJ_AT_TOS, NULL, - (TCL_NAMESPACE_ONLY | TCL_LEAVE_ERR_MSG), "access", - /*createPart1*/ 1, /*createPart2*/ 1, &varPtr); + (TCL_NAMESPACE_ONLY|TCL_LEAVE_ERR_MSG|TCL_AVOID_RESOLVERS), + "access", /*createPart1*/ 1, /*createPart2*/ 1, &varPtr); iPtr->varFramePtr->nsPtr = savedNsPtr; if (!otherPtr) { TRACE_ERROR(interp); diff --git a/generic/tclInt.h b/generic/tclInt.h index fba4c7b..6d2db5d 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -170,6 +170,21 @@ typedef struct Tcl_ResolverInfo { } Tcl_ResolverInfo; /* + * This flag bit should not interfere with TCL_GLOBAL_ONLY, + * TCL_NAMESPACE_ONLY, or TCL_LEAVE_ERR_MSG; it signals that the variable + * lookup is performed for upvar (or similar) purposes, with slightly + * different rules: + * - Bug #696893 - variable is either proc-local or in the current + * namespace; never follow the second (global) resolution path + * - Bug #631741 - do not use special namespace or interp resolvers + * + * It should also not collide with the (deprecated) TCL_PARSE_PART1 flag + * (Bug #835020) + */ + +#define TCL_AVOID_RESOLVERS 0x40000 + +/* *---------------------------------------------------------------- * Data structures related to namespaces. *---------------------------------------------------------------- diff --git a/generic/tclNamesp.c b/generic/tclNamesp.c index 2c50a60..5930859 100644 --- a/generic/tclNamesp.c +++ b/generic/tclNamesp.c @@ -4538,8 +4538,8 @@ NamespaceUpvarCmd( savedNsPtr = (Tcl_Namespace *) iPtr->varFramePtr->nsPtr; iPtr->varFramePtr->nsPtr = (Namespace *) nsPtr; otherPtr = TclObjLookupVarEx(interp, objv[0], NULL, - (TCL_NAMESPACE_ONLY | TCL_LEAVE_ERR_MSG), "access", - /*createPart1*/ 1, /*createPart2*/ 1, &arrayPtr); + (TCL_NAMESPACE_ONLY|TCL_LEAVE_ERR_MSG|TCL_AVOID_RESOLVERS), + "access", /*createPart1*/ 1, /*createPart2*/ 1, &arrayPtr); iPtr->varFramePtr->nsPtr = (Namespace *) savedNsPtr; if (otherPtr == NULL) { return TCL_ERROR; diff --git a/generic/tclVar.c b/generic/tclVar.c index 51e2482..47c6e14 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -742,21 +742,6 @@ TclObjLookupVarEx( } /* - * This flag bit should not interfere with TCL_GLOBAL_ONLY, - * TCL_NAMESPACE_ONLY, or TCL_LEAVE_ERR_MSG; it signals that the variable - * lookup is performed for upvar (or similar) purposes, with slightly - * different rules: - * - Bug #696893 - variable is either proc-local or in the current - * namespace; never follow the second (global) resolution path - * - Bug #631741 - do not use special namespace or interp resolvers - * - * It should also not collide with the (deprecated) TCL_PARSE_PART1 flag - * (Bug #835020) - */ - -#define AVOID_RESOLVERS 0x40000 - -/* *---------------------------------------------------------------------- * * TclLookupSimpleVar -- @@ -805,8 +790,8 @@ TclLookupSimpleVar( Tcl_Obj *varNamePtr, /* This is a simple variable name that could * represent a scalar or an array. */ int flags, /* Only TCL_GLOBAL_ONLY, TCL_NAMESPACE_ONLY, - * AVOID_RESOLVERS and TCL_LEAVE_ERR_MSG bits - * matter. */ + * TCL_AVOID_RESOLVERS and TCL_LEAVE_ERR_MSG + * bits matter. */ const int create, /* If 1, create hash table entry for varname, * if it doesn't already exist. If 0, return * error if it doesn't exist. */ @@ -846,7 +831,7 @@ TclLookupSimpleVar( */ if ((cxtNsPtr->varResProc != NULL || iPtr->resolverPtr != NULL) - && !(flags & AVOID_RESOLVERS)) { + && !(flags & TCL_AVOID_RESOLVERS)) { resPtr = iPtr->resolverPtr; if (cxtNsPtr->varResProc) { result = cxtNsPtr->varResProc(interp, varName, @@ -899,7 +884,7 @@ TclLookupSimpleVar( *indexPtr = -1; flags = (flags | TCL_GLOBAL_ONLY) & ~TCL_NAMESPACE_ONLY; } else { - if (flags & AVOID_RESOLVERS) { + if (flags & TCL_AVOID_RESOLVERS) { flags = (flags | TCL_NAMESPACE_ONLY); } if (flags & TCL_NAMESPACE_ONLY) { @@ -914,7 +899,7 @@ TclLookupSimpleVar( varPtr = (Var *) ObjFindNamespaceVar(interp, varNamePtr, (Tcl_Namespace *) cxtNsPtr, - (flags | AVOID_RESOLVERS) & ~TCL_LEAVE_ERR_MSG); + (flags | TCL_AVOID_RESOLVERS) & ~TCL_LEAVE_ERR_MSG); if (varPtr == NULL) { Tcl_Obj *tailPtr; @@ -4396,15 +4381,15 @@ TclPtrObjMakeUpvar( /* * Lookup and eventually create the new variable. Set the flag bit - * AVOID_RESOLVERS to indicate the special resolution rules for upvar - * purposes: + * TCL_AVOID_RESOLVERS to indicate the special resolution rules for + * upvar purposes: * - Bug #696893 - variable is either proc-local or in the current * namespace; never follow the second (global) resolution path. * - Bug #631741 - do not use special namespace or interp resolvers. */ varPtr = TclLookupSimpleVar(interp, myNamePtr, - myFlags|AVOID_RESOLVERS, /* create */ 1, &errMsg, &index); + myFlags|TCL_AVOID_RESOLVERS, /* create */ 1, &errMsg, &index); if (varPtr == NULL) { TclObjVarErrMsg(interp, myNamePtr, NULL, "create", errMsg, -1); Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "VARNAME", @@ -5695,11 +5680,12 @@ Tcl_FindNamespaceVar( * Otherwise, points to namespace in which to * resolve name. If NULL, look up name in the * current namespace. */ - int flags) /* An OR'd combination of: AVOID_RESOLVERS, - * TCL_GLOBAL_ONLY (look up name only in - * global namespace), TCL_NAMESPACE_ONLY (look - * up only in contextNsPtr, or the current - * namespace if contextNsPtr is NULL), and + int flags) /* An OR'd combination of: + * TCL_AVOID_RESOLVERS, TCL_GLOBAL_ONLY (look + * up name only in global namespace), + * TCL_NAMESPACE_ONLY (look up only in + * contextNsPtr, or the current namespace if + * contextNsPtr is NULL), and * TCL_LEAVE_ERR_MSG. If both TCL_GLOBAL_ONLY * and TCL_NAMESPACE_ONLY are given, * TCL_GLOBAL_ONLY is ignored. */ @@ -5725,11 +5711,12 @@ ObjFindNamespaceVar( * Otherwise, points to namespace in which to * resolve name. If NULL, look up name in the * current namespace. */ - int flags) /* An OR'd combination of: AVOID_RESOLVERS, - * TCL_GLOBAL_ONLY (look up name only in - * global namespace), TCL_NAMESPACE_ONLY (look - * up only in contextNsPtr, or the current - * namespace if contextNsPtr is NULL), and + int flags) /* An OR'd combination of: + * TCL_AVOID_RESOLVERS, TCL_GLOBAL_ONLY (look + * up name only in global namespace), + * TCL_NAMESPACE_ONLY (look up only in + * contextNsPtr, or the current namespace if + * contextNsPtr is NULL), and * TCL_LEAVE_ERR_MSG. If both TCL_GLOBAL_ONLY * and TCL_NAMESPACE_ONLY are given, * TCL_GLOBAL_ONLY is ignored. */ @@ -5759,7 +5746,7 @@ ObjFindNamespaceVar( cxtNsPtr = (Namespace *) TclGetCurrentNamespace(interp); } - if (!(flags & AVOID_RESOLVERS) && + if (!(flags & TCL_AVOID_RESOLVERS) && (cxtNsPtr->varResProc != NULL || iPtr->resolverPtr != NULL)) { resPtr = iPtr->resolverPtr; -- cgit v0.12 From fc2bc121acb78c5544d30d1e7ceb507397fe3e78 Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 7 Jul 2016 18:44:56 +0000 Subject: To use a Tcl_Command token [aka (Command *)] for epoch checking, we must not permit it to be freed while we hold it or else it could be mistaken for another token allocated later that just happens to reside at the same address. (Command *) preservation machinery already exists, just need to use it. An extension facing the same problem might have to rely on command delete traces. Earlier revisions used (Namespace *) lifetime to achieve the same results, but that's really an indirect (possibly non-robust) path to achieving the proper goal. Valgrind is happy now. --- generic/tclEnsemble.c | 9 ++++++--- 1 file changed, 6 insertions(+), 3 deletions(-) diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index 5c47ce3..24b6b9a 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -93,7 +93,7 @@ typedef struct { int epoch; /* Used to confirm when the data in this * really structure matches up with the * ensemble. */ - Tcl_Command token; /* Reference to the comamnd for which this + Command *token; /* Reference to the command for which this * structure is a cache of the resolution. */ Tcl_Obj *fix; /* Corrected spelling, if needed. */ Tcl_HashEntry *hPtr; /* Direct link to entry in the subcommand @@ -1727,7 +1727,7 @@ NsEnsembleImplementationCmdNR( EnsembleCmdRep *ensembleCmd = subObj->internalRep.twoPtrValue.ptr1; if (ensembleCmd->epoch == ensemblePtr->epoch && - ensembleCmd->token == ensemblePtr->token) { + ensembleCmd->token == (Command *)ensemblePtr->token) { prefixObj = Tcl_GetHashValue(ensembleCmd->hPtr); Tcl_IncrRefCount(prefixObj); if (ensembleCmd->fix) { @@ -2404,7 +2404,8 @@ MakeCachedEnsembleCommand( */ ensembleCmd->epoch = ensemblePtr->epoch; - ensembleCmd->token = ensemblePtr->token; + ensembleCmd->token = (Command *) ensemblePtr->token; + ensembleCmd->token->refCount++; if (fix) { Tcl_IncrRefCount(fix); } @@ -2790,6 +2791,7 @@ FreeEnsembleCmdRep( { EnsembleCmdRep *ensembleCmd = objPtr->internalRep.twoPtrValue.ptr1; + TclCleanupCommandMacro(ensembleCmd->token); if (ensembleCmd->fix) { Tcl_DecrRefCount(ensembleCmd->fix); } @@ -2827,6 +2829,7 @@ DupEnsembleCmdRep( copyPtr->internalRep.twoPtrValue.ptr1 = ensembleCopy; ensembleCopy->epoch = ensembleCmd->epoch; ensembleCopy->token = ensembleCmd->token; + ensembleCopy->token->refCount++; ensembleCopy->fix = ensembleCmd->fix; if (ensembleCopy->fix) { Tcl_IncrRefCount(ensembleCopy->fix); -- cgit v0.12 From 1d9f88074f824a962f99296d5aefece2fa918a99 Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 7 Jul 2016 19:50:02 +0000 Subject: Missed a cleanup line, which created a memleak. --- generic/tclEnsemble.c | 1 + 1 file changed, 1 insertion(+) diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index 24b6b9a..d2bd0a2 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -2384,6 +2384,7 @@ MakeCachedEnsembleCommand( if (objPtr->typePtr == &ensembleCmdType) { ensembleCmd = objPtr->internalRep.twoPtrValue.ptr1; + TclCleanupCommandMacro(ensembleCmd->token); if (ensembleCmd->fix) { Tcl_DecrRefCount(ensembleCmd->fix); } -- cgit v0.12 From 6e64f64efb7bf46602985c83e4ec87bfdefc8289 Mon Sep 17 00:00:00 2001 From: ashok Date: Fri, 8 Jul 2016 07:58:00 +0000 Subject: Bug [a47641a031]. TclJoinPath was calling TclNewFSPathObj with a first argument that was not an absolute path. Added a check for that. Fixes Windows test failures fileSystem-1.{3,4} --- generic/tclPathObj.c | 10 +++++++--- 1 file changed, 7 insertions(+), 3 deletions(-) diff --git a/generic/tclPathObj.c b/generic/tclPathObj.c index 99d576d..c2643bf 100644 --- a/generic/tclPathObj.c +++ b/generic/tclPathObj.c @@ -869,12 +869,16 @@ TclJoinPath( * object which can be normalized more efficiently. Currently we only * use the special case when we have exactly two elements, but we * could expand that in the future. + * + * Bugfix [a47641a0]. TclNewFSPathObj requires first argument + * to be an absolute path. Added a check for that elt is absolute. */ if ((i == (elements-2)) && (i == 0) - && (elt->typePtr == &tclFsPathType) - && !((elt->bytes != NULL) && (elt->bytes[0] == '\0'))) { - Tcl_Obj *tailObj = objv[i+1]; + && (elt->typePtr == &tclFsPathType) + && !((elt->bytes != NULL) && (elt->bytes[0] == '\0')) + && TclGetPathType(elt, NULL, NULL, NULL) == TCL_PATH_ABSOLUTE) { + Tcl_Obj *tailObj = objv[i+1]; type = TclGetPathType(tailObj, NULL, NULL, NULL); if (type == TCL_PATH_RELATIVE) { -- cgit v0.12 From f84ad84e4153f7bdce3247e5f5ab7477e74db51f Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 8 Jul 2016 10:28:48 +0000 Subject: Micro-optimization: Use TclGetStringFromObj in stead of Tcl_GetStringFromObj in many places where possible. --- generic/tclAssembly.c | 6 +++--- generic/tclBasic.c | 14 ++++++------- generic/tclBinary.c | 2 +- generic/tclCompCmds.c | 12 +++++------ generic/tclCompCmdsGR.c | 4 ++-- generic/tclCompCmdsSZ.c | 18 ++++++++-------- generic/tclCompile.c | 8 ++++---- generic/tclDisassemble.c | 4 ++-- generic/tclEncoding.c | 2 +- generic/tclEnsemble.c | 8 ++++---- generic/tclExecute.c | 6 +++--- generic/tclFileName.c | 32 ++++++++++++++--------------- generic/tclIORChan.c | 8 ++++---- generic/tclIORTrans.c | 4 ++-- generic/tclIOUtil.c | 28 ++++++++++++------------- generic/tclIndexObj.c | 10 ++++----- generic/tclInterp.c | 10 ++++----- generic/tclLink.c | 2 +- generic/tclLiteral.c | 8 ++++---- generic/tclMain.c | 8 ++++---- generic/tclOODefineCmds.c | 10 ++++----- generic/tclOOMethod.c | 2 +- generic/tclObj.c | 4 ++-- generic/tclOptimize.c | 4 ++-- generic/tclParse.c | 4 ++-- generic/tclPathObj.c | 52 +++++++++++++++++++++++------------------------ generic/tclPkg.c | 8 ++++---- generic/tclProc.c | 6 +++--- generic/tclStringObj.c | 2 +- generic/tclTimer.c | 4 ++-- generic/tclTrace.c | 8 ++++---- generic/tclUtil.c | 6 +++--- generic/tclZlib.c | 6 +++--- macosx/tclMacOSXFCmd.c | 2 +- unix/dltest/pkgua.c | 5 ++--- unix/tclUnixFCmd.c | 12 +++++------ unix/tclUnixFile.c | 6 +++--- unix/tclUnixInit.c | 2 +- win/tclWinFCmd.c | 6 +++--- win/tclWinFile.c | 8 ++++---- win/tclWinInit.c | 2 +- 41 files changed, 176 insertions(+), 177 deletions(-) diff --git a/generic/tclAssembly.c b/generic/tclAssembly.c index 8dd23a0..7a5ffcc 100644 --- a/generic/tclAssembly.c +++ b/generic/tclAssembly.c @@ -1299,7 +1299,7 @@ AssembleOneLine( if (GetNextOperand(assemEnvPtr, &tokenPtr, &operand1Obj) != TCL_OK) { goto cleanup; } - operand1 = Tcl_GetStringFromObj(operand1Obj, &operand1Len); + operand1 = TclGetStringFromObj(operand1Obj, &operand1Len); litIndex = TclRegisterNewLiteral(envPtr, operand1, operand1Len); BBEmitInst1or4(assemEnvPtr, tblIdx, litIndex, 0); break; @@ -1448,7 +1448,7 @@ AssembleOneLine( &operand1Obj) != TCL_OK) { goto cleanup; } else { - operand1 = Tcl_GetStringFromObj(operand1Obj, &operand1Len); + operand1 = TclGetStringFromObj(operand1Obj, &operand1Len); litIndex = TclRegisterNewLiteral(envPtr, operand1, operand1Len); /* @@ -2288,7 +2288,7 @@ FindLocalVar( if (GetNextOperand(assemEnvPtr, tokenPtrPtr, &varNameObj) != TCL_OK) { return -1; } - varNameStr = Tcl_GetStringFromObj(varNameObj, &varNameLen); + varNameStr = TclGetStringFromObj(varNameObj, &varNameLen); if (CheckNamespaceQualifiers(interp, varNameStr, varNameLen)) { Tcl_DecrRefCount(varNameObj); return -1; diff --git a/generic/tclBasic.c b/generic/tclBasic.c index a0b5505..53023d8 100644 --- a/generic/tclBasic.c +++ b/generic/tclBasic.c @@ -3943,7 +3943,7 @@ Tcl_Canceled( */ if (iPtr->asyncCancelMsg != NULL) { - message = Tcl_GetStringFromObj(iPtr->asyncCancelMsg, &length); + message = TclGetStringFromObj(iPtr->asyncCancelMsg, &length); } else { length = 0; } @@ -4042,7 +4042,7 @@ Tcl_CancelEval( */ if (resultObjPtr != NULL) { - result = Tcl_GetStringFromObj(resultObjPtr, &cancelInfo->length); + result = TclGetStringFromObj(resultObjPtr, &cancelInfo->length); cancelInfo->result = ckrealloc(cancelInfo->result,cancelInfo->length); memcpy(cancelInfo->result, result, (size_t) cancelInfo->length); TclDecrRefCount(resultObjPtr); /* Discard their result object. */ @@ -4554,7 +4554,7 @@ TEOV_Error( */ listPtr = Tcl_NewListObj(objc, objv); - cmdString = Tcl_GetStringFromObj(listPtr, &cmdLen); + cmdString = TclGetStringFromObj(listPtr, &cmdLen); Tcl_LogCommandInfo(interp, cmdString, cmdString, cmdLen); Tcl_DecrRefCount(listPtr); } @@ -4700,7 +4700,7 @@ TEOV_RunEnterTraces( Command *cmdPtr = *cmdPtrPtr; int newEpoch, cmdEpoch = cmdPtr->cmdEpoch; int length, traceCode = TCL_OK; - const char *command = Tcl_GetStringFromObj(commandPtr, &length); + const char *command = TclGetStringFromObj(commandPtr, &length); /* * Call trace functions. @@ -4752,7 +4752,7 @@ TEOV_RunLeaveTraces( Command *cmdPtr = data[2]; Tcl_Obj **objv = data[3]; int length; - const char *command = Tcl_GetStringFromObj(commandPtr, &length); + const char *command = TclGetStringFromObj(commandPtr, &length); if (!(cmdPtr->flags & CMD_IS_DELETED)) { if (cmdPtr->flags & CMD_HAS_EXEC_TRACES){ @@ -6117,7 +6117,7 @@ TclNREvalObjEx( Tcl_IncrRefCount(objPtr); - script = Tcl_GetStringFromObj(objPtr, &numSrcBytes); + script = TclGetStringFromObj(objPtr, &numSrcBytes); result = Tcl_EvalEx(interp, script, numSrcBytes, flags); TclDecrRefCount(objPtr); @@ -6148,7 +6148,7 @@ TEOEx_ByteCodeCallback( ProcessUnexpectedResult(interp, result); result = TCL_ERROR; - script = Tcl_GetStringFromObj(objPtr, &numSrcBytes); + script = TclGetStringFromObj(objPtr, &numSrcBytes); Tcl_LogCommandInfo(interp, script, script, numSrcBytes); } diff --git a/generic/tclBinary.c b/generic/tclBinary.c index 981f174..9a5771e 100644 --- a/generic/tclBinary.c +++ b/generic/tclBinary.c @@ -2500,7 +2500,7 @@ BinaryEncode64( } break; case OPT_WRAPCHAR: - wrapchar = Tcl_GetStringFromObj(objv[i+1], &wrapcharlen); + wrapchar = TclGetStringFromObj(objv[i+1], &wrapcharlen); if (wrapcharlen == 0) { maxlen = 0; } diff --git a/generic/tclCompCmds.c b/generic/tclCompCmds.c index 3ab03cc..bce17dc 100644 --- a/generic/tclCompCmds.c +++ b/generic/tclCompCmds.c @@ -801,7 +801,7 @@ TclCompileConcatCmd( Tcl_ListObjGetElements(NULL, listObj, &len, &objs); objPtr = Tcl_ConcatObj(len, objs); Tcl_DecrRefCount(listObj); - bytes = Tcl_GetStringFromObj(objPtr, &len); + bytes = TclGetStringFromObj(objPtr, &len); PushLiteral(envPtr, bytes, len); Tcl_DecrRefCount(objPtr); return TCL_OK; @@ -1209,7 +1209,7 @@ TclCompileDictCreateCmd( * We did! Excellent. The "verifyDict" is to do type forcing. */ - bytes = Tcl_GetStringFromObj(dictObj, &len); + bytes = TclGetStringFromObj(dictObj, &len); PushLiteral(envPtr, bytes, len); TclEmitOpcode( INST_DUP, envPtr); TclEmitOpcode( INST_DICT_VERIFY, envPtr); @@ -2650,7 +2650,7 @@ CompileEachloopCmd( int numBytes, varIndex; Tcl_ListObjIndex(NULL, varListObj, j, &varNameObj); - bytes = Tcl_GetStringFromObj(varNameObj, &numBytes); + bytes = TclGetStringFromObj(varNameObj, &numBytes); varIndex = LocalScalar(bytes, numBytes, envPtr); if (varIndex < 0) { code = TCL_ERROR; @@ -3087,7 +3087,7 @@ TclCompileFormatCmd( * literal. Job done. */ - bytes = Tcl_GetStringFromObj(tmpObj, &len); + bytes = TclGetStringFromObj(tmpObj, &len); PushLiteral(envPtr, bytes, len); Tcl_DecrRefCount(tmpObj); return TCL_OK; @@ -3158,7 +3158,7 @@ TclCompileFormatCmd( if (*++bytes == '%') { Tcl_AppendToObj(tmpObj, "%", 1); } else { - char *b = Tcl_GetStringFromObj(tmpObj, &len); + char *b = TclGetStringFromObj(tmpObj, &len); /* * If there is a non-empty literal from the format string, @@ -3192,7 +3192,7 @@ TclCompileFormatCmd( */ Tcl_AppendToObj(tmpObj, start, bytes - start); - bytes = Tcl_GetStringFromObj(tmpObj, &len); + bytes = TclGetStringFromObj(tmpObj, &len); if (len > 0) { PushLiteral(envPtr, bytes, len); i++; diff --git a/generic/tclCompCmdsGR.c b/generic/tclCompCmdsGR.c index ffe39ba..593a8af 100644 --- a/generic/tclCompCmdsGR.c +++ b/generic/tclCompCmdsGR.c @@ -2451,7 +2451,7 @@ TclCompileRegsubCmd( * replacement "simple"? */ - bytes = Tcl_GetStringFromObj(patternObj, &len); + bytes = TclGetStringFromObj(patternObj, &len); if (TclReToGlob(NULL, bytes, len, &pattern, &exact, &quantified) != TCL_OK || exact || quantified) { goto done; @@ -2499,7 +2499,7 @@ TclCompileRegsubCmd( result = TCL_OK; bytes = Tcl_DStringValue(&pattern) + 1; PushLiteral(envPtr, bytes, len); - bytes = Tcl_GetStringFromObj(replacementObj, &len); + bytes = TclGetStringFromObj(replacementObj, &len); PushLiteral(envPtr, bytes, len); CompileWord(envPtr, stringTokenPtr, interp, parsePtr->numWords-2); TclEmitOpcode( INST_STR_MAP, envPtr); diff --git a/generic/tclCompCmdsSZ.c b/generic/tclCompCmdsSZ.c index 101edbd..2503089 100644 --- a/generic/tclCompCmdsSZ.c +++ b/generic/tclCompCmdsSZ.c @@ -312,7 +312,7 @@ TclCompileStringCatCmd( Tcl_DecrRefCount(obj); if (folded) { int len; - const char *bytes = Tcl_GetStringFromObj(folded, &len); + const char *bytes = TclGetStringFromObj(folded, &len); PushLiteral(envPtr, bytes, len); Tcl_DecrRefCount(folded); @@ -330,7 +330,7 @@ TclCompileStringCatCmd( } if (folded) { int len; - const char *bytes = Tcl_GetStringFromObj(folded, &len); + const char *bytes = TclGetStringFromObj(folded, &len); PushLiteral(envPtr, bytes, len); Tcl_DecrRefCount(folded); @@ -948,12 +948,12 @@ TclCompileStringMapCmd( * correct semantics for mapping. */ - bytes = Tcl_GetStringFromObj(objv[0], &len); + bytes = TclGetStringFromObj(objv[0], &len); if (len == 0) { CompileWord(envPtr, stringTokenPtr, interp, 2); } else { PushLiteral(envPtr, bytes, len); - bytes = Tcl_GetStringFromObj(objv[1], &len); + bytes = TclGetStringFromObj(objv[1], &len); PushLiteral(envPtr, bytes, len); CompileWord(envPtr, stringTokenPtr, interp, 2); OP(STR_MAP); @@ -2825,7 +2825,7 @@ TclCompileTryCmd( } if (objc > 0) { int len; - const char *varname = Tcl_GetStringFromObj(objv[0], &len); + const char *varname = TclGetStringFromObj(objv[0], &len); resultVarIndices[i] = LocalScalar(varname, len, envPtr); if (resultVarIndices[i] < 0) { @@ -2837,7 +2837,7 @@ TclCompileTryCmd( } if (objc == 2) { int len; - const char *varname = Tcl_GetStringFromObj(objv[1], &len); + const char *varname = TclGetStringFromObj(objv[1], &len); optionVarIndices[i] = LocalScalar(varname, len, envPtr); if (optionVarIndices[i] < 0) { @@ -3040,7 +3040,7 @@ IssueTryClausesInstructions( OP4( DICT_GET, 1); TclAdjustStackDepth(-1, envPtr); OP44( LIST_RANGE_IMM, 0, len-1); - p = Tcl_GetStringFromObj(matchClauses[i], &len); + p = TclGetStringFromObj(matchClauses[i], &len); PushLiteral(envPtr, p, len); OP( STR_EQ); JUMP4( JUMP_FALSE, notECJumpSource); @@ -3251,7 +3251,7 @@ IssueTryClausesFinallyInstructions( OP4( DICT_GET, 1); TclAdjustStackDepth(-1, envPtr); OP44( LIST_RANGE_IMM, 0, len-1); - p = Tcl_GetStringFromObj(matchClauses[i], &len); + p = TclGetStringFromObj(matchClauses[i], &len); PushLiteral(envPtr, p, len); OP( STR_EQ); JUMP4( JUMP_FALSE, notECJumpSource); @@ -3579,7 +3579,7 @@ TclCompileUnsetCmd( const char *bytes; int len; - bytes = Tcl_GetStringFromObj(leadingWord, &len); + bytes = TclGetStringFromObj(leadingWord, &len); if (i == 1 && len == 11 && !strncmp("-nocomplain", bytes, 11)) { flags = 0; haveFlags++; diff --git a/generic/tclCompile.c b/generic/tclCompile.c index b1b67a8..0024f1e 100644 --- a/generic/tclCompile.c +++ b/generic/tclCompile.c @@ -1314,7 +1314,7 @@ CompileSubstObj( if (objPtr->typePtr != &substCodeType) { CompileEnv compEnv; int numBytes; - const char *bytes = Tcl_GetStringFromObj(objPtr, &numBytes); + const char *bytes = TclGetStringFromObj(objPtr, &numBytes); /* TODO: Check for more TIP 280 */ TclInitCompileEnv(interp, &compEnv, bytes, numBytes, NULL, 0); @@ -1792,7 +1792,7 @@ CompileCmdLiteral( CompileEnv *envPtr) { int numBytes; - const char *bytes = Tcl_GetStringFromObj(cmdObj, &numBytes); + const char *bytes = TclGetStringFromObj(cmdObj, &numBytes); int cmdLitIdx = TclRegisterNewCmdLiteral(envPtr, bytes, numBytes); Command *cmdPtr = (Command *) Tcl_GetCommandFromObj(interp, cmdObj); @@ -2729,7 +2729,7 @@ PreventCycle( * the intrep. */ int numBytes; - const char *bytes = Tcl_GetStringFromObj(objPtr, &numBytes); + const char *bytes = TclGetStringFromObj(objPtr, &numBytes); Tcl_Obj *copyPtr = Tcl_NewStringObj(bytes, numBytes); Tcl_IncrRefCount(copyPtr); @@ -2968,7 +2968,7 @@ TclFindCompiledLocal( varNamePtr = &cachePtr->varName0; for (i=0; i < cachePtr->numVars; varNamePtr++, i++) { if (*varNamePtr) { - localName = Tcl_GetStringFromObj(*varNamePtr, &len); + localName = TclGetStringFromObj(*varNamePtr, &len); if ((len == nameBytes) && !strncmp(name, localName, len)) { return i; } diff --git a/generic/tclDisassemble.c b/generic/tclDisassemble.c index 1d616fb..0d6da8e 100644 --- a/generic/tclDisassemble.c +++ b/generic/tclDisassemble.c @@ -193,7 +193,7 @@ TclPrintObject( char *bytes; int length; - bytes = Tcl_GetStringFromObj(objPtr, &length); + bytes = TclGetStringFromObj(objPtr, &length); TclPrintSource(outFile, bytes, TclMin(length, maxChars)); } @@ -650,7 +650,7 @@ FormatInstruction( int length; Tcl_AppendToObj(bufferObj, "\t# ", -1); - bytes = Tcl_GetStringFromObj(codePtr->objArrayPtr[opnd], &length); + bytes = TclGetStringFromObj(codePtr->objArrayPtr[opnd], &length); PrintSourceToObj(bufferObj, bytes, TclMin(length, 40)); } else if (suffixBuffer[0]) { Tcl_AppendPrintfToObj(bufferObj, "\t# %s", suffixBuffer); diff --git a/generic/tclEncoding.c b/generic/tclEncoding.c index 32055a3..99cb315 100644 --- a/generic/tclEncoding.c +++ b/generic/tclEncoding.c @@ -3633,7 +3633,7 @@ InitializeEncodingSearchPath( if (*encodingPtr) { ((Encoding *)(*encodingPtr))->refCount++; } - bytes = Tcl_GetStringFromObj(searchPathObj, &numBytes); + bytes = TclGetStringFromObj(searchPathObj, &numBytes); *lengthPtr = numBytes; *valuePtr = ckalloc(numBytes + 1); diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index ee81aee..d5d896a 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -1771,7 +1771,7 @@ NsEnsembleImplementationCmdNR( int tableLength = ensemblePtr->subcommandTable.numEntries; Tcl_Obj *fix; - subcmdName = Tcl_GetStringFromObj(subObj, &stringLength); + subcmdName = TclGetStringFromObj(subObj, &stringLength); for (i=0 ; isubcommandArrayPtr[i], @@ -2913,7 +2913,7 @@ TclCompileEnsemble( goto failed; } for (i=0 ; itokenPtr; i < parsePtr->numWords; i++, tokPtr = TokenAfter(tokPtr)) { if (i > 0 && i < numWords+1) { - bytes = Tcl_GetStringFromObj(words[i-1], &length); + bytes = TclGetStringFromObj(words[i-1], &length); PushLiteral(envPtr, bytes, length); continue; } @@ -3344,7 +3344,7 @@ CompileToInvokedCommand( objPtr = Tcl_NewObj(); Tcl_GetCommandFullName(interp, (Tcl_Command) cmdPtr, objPtr); - bytes = Tcl_GetStringFromObj(objPtr, &length); + bytes = TclGetStringFromObj(objPtr, &length); cmdLit = TclRegisterNewCmdLiteral(envPtr, bytes, length); TclSetCmdNameObj(interp, TclFetchLiteral(envPtr, cmdLit), cmdPtr); TclEmitPush(cmdLit, envPtr); diff --git a/generic/tclExecute.c b/generic/tclExecute.c index df0618c..a9c5de5 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -9826,7 +9826,7 @@ IllegalExprOperandType( if (GetNumberFromObj(NULL, opndPtr, &ptr, &type) != TCL_OK) { int numBytes; - const char *bytes = Tcl_GetStringFromObj(opndPtr, &numBytes); + const char *bytes = TclGetStringFromObj(opndPtr, &numBytes); if (numBytes == 0) { description = "empty string"; @@ -10455,7 +10455,7 @@ EvalStatsCmd( if (entryPtr->objPtr->typePtr == &tclByteCodeType) { numByteCodeLits++; } - (void) Tcl_GetStringFromObj(entryPtr->objPtr, &length); + (void) TclGetStringFromObj(entryPtr->objPtr, &length); refCountSum += entryPtr->refCount; objBytesIfUnshared += (entryPtr->refCount * sizeof(Tcl_Obj)); strBytesIfUnshared += (entryPtr->refCount * (length+1)); @@ -10677,7 +10677,7 @@ EvalStatsCmd( Tcl_SetObjResult(interp, objPtr); } else { Tcl_Channel outChan; - char *str = Tcl_GetStringFromObj(objv[1], &length); + char *str = TclGetStringFromObj(objv[1], &length); if (length) { if (strcmp(str, "stdout") == 0) { diff --git a/generic/tclFileName.c b/generic/tclFileName.c index 2136883..150fb8c 100644 --- a/generic/tclFileName.c +++ b/generic/tclFileName.c @@ -387,7 +387,7 @@ TclpGetNativePathType( { Tcl_PathType type = TCL_PATH_ABSOLUTE; int pathLen; - const char *path = Tcl_GetStringFromObj(pathPtr, &pathLen); + const char *path = TclGetStringFromObj(pathPtr, &pathLen); if (path[0] == '~') { /* @@ -578,7 +578,7 @@ Tcl_SplitPath( size = 1; for (i = 0; i < *argcPtr; i++) { Tcl_ListObjIndex(NULL, resultPtr, i, &eltPtr); - Tcl_GetStringFromObj(eltPtr, &len); + TclGetStringFromObj(eltPtr, &len); size += len + 1; } @@ -597,7 +597,7 @@ Tcl_SplitPath( p = (char *) &(*argvPtr)[(*argcPtr) + 1]; for (i = 0; i < *argcPtr; i++) { Tcl_ListObjIndex(NULL, resultPtr, i, &eltPtr); - str = Tcl_GetStringFromObj(eltPtr, &len); + str = TclGetStringFromObj(eltPtr, &len); memcpy(p, str, (size_t) len+1); p += len+1; } @@ -857,7 +857,7 @@ TclpNativeJoinPath( const char *p; const char *start; - start = Tcl_GetStringFromObj(prefix, &length); + start = TclGetStringFromObj(prefix, &length); /* * Remove the ./ from tilde prefixed elements, and drive-letter prefixed @@ -885,7 +885,7 @@ TclpNativeJoinPath( if (length > 0 && (start[length-1] != '/')) { Tcl_AppendToObj(prefix, "/", 1); - Tcl_GetStringFromObj(prefix, &length); + TclGetStringFromObj(prefix, &length); } needsSep = 0; @@ -921,7 +921,7 @@ TclpNativeJoinPath( if ((length > 0) && (start[length-1] != '/') && (start[length-1] != ':')) { Tcl_AppendToObj(prefix, "/", 1); - Tcl_GetStringFromObj(prefix, &length); + TclGetStringFromObj(prefix, &length); } needsSep = 0; @@ -1003,7 +1003,7 @@ Tcl_JoinPath( * Store the result. */ - resultStr = Tcl_GetStringFromObj(resultObj, &len); + resultStr = TclGetStringFromObj(resultObj, &len); Tcl_DStringAppend(resultPtr, resultStr, len); Tcl_DecrRefCount(resultObj); @@ -1249,7 +1249,7 @@ Tcl_GlobObjCmd( for (i = 1; i < objc; i++) { if (Tcl_GetIndexFromObj(interp, objv[i], options, "option", 0, &index) != TCL_OK) { - string = Tcl_GetStringFromObj(objv[i], &length); + string = TclGetStringFromObj(objv[i], &length); if (string[0] == '-') { /* * It looks like the command contains an option so signal an @@ -1357,7 +1357,7 @@ Tcl_GlobObjCmd( if (dir == PATH_GENERAL) { int pathlength; const char *last; - const char *first = Tcl_GetStringFromObj(pathOrDir,&pathlength); + const char *first = TclGetStringFromObj(pathOrDir,&pathlength); /* * Find the last path separator in the path @@ -1460,7 +1460,7 @@ Tcl_GlobObjCmd( const char *str; Tcl_ListObjIndex(interp, typePtr, length, &look); - str = Tcl_GetStringFromObj(look, &len); + str = TclGetStringFromObj(look, &len); if (strcmp("readonly", str) == 0) { globTypes->perm |= TCL_GLOB_PERM_RONLY; } else if (strcmp("hidden", str) == 0) { @@ -1992,7 +1992,7 @@ TclGlob( Tcl_Panic("Called TclGlob with TCL_GLOBMODE_TAILS and pathPrefix==NULL"); } - pre = Tcl_GetStringFromObj(pathPrefix, &prefixLen); + pre = TclGetStringFromObj(pathPrefix, &prefixLen); if (prefixLen > 0 && (strchr(separators, pre[prefixLen-1]) == NULL)) { /* @@ -2010,7 +2010,7 @@ TclGlob( Tcl_ListObjGetElements(NULL, filenamesObj, &objc, &objv); for (i = 0; i< objc; i++) { int len; - const char *oldStr = Tcl_GetStringFromObj(objv[i], &len); + const char *oldStr = TclGetStringFromObj(objv[i], &len); Tcl_Obj *elem; if (len == prefixLen) { @@ -2362,7 +2362,7 @@ DoGlob( Tcl_Obj *fixme, *newObj; Tcl_ListObjIndex(NULL, matchesObj, repair, &fixme); - bytes = Tcl_GetStringFromObj(fixme, &numBytes); + bytes = TclGetStringFromObj(fixme, &numBytes); newObj = Tcl_NewStringObj(bytes+2, numBytes-2); Tcl_ListObjReplace(NULL, matchesObj, repair, 1, 1, &newObj); @@ -2400,7 +2400,7 @@ DoGlob( Tcl_DStringAppend(&append, pattern, p-pattern); if (pathPtr != NULL) { - (void) Tcl_GetStringFromObj(pathPtr, &length); + (void) TclGetStringFromObj(pathPtr, &length); } else { length = 0; } @@ -2446,7 +2446,7 @@ DoGlob( */ int len; - const char *joined = Tcl_GetStringFromObj(joinedPtr,&len); + const char *joined = TclGetStringFromObj(joinedPtr,&len); if (strchr(separators, joined[len-1]) == NULL) { Tcl_AppendToObj(joinedPtr, "/", 1); @@ -2483,7 +2483,7 @@ DoGlob( */ int len; - const char *joined = Tcl_GetStringFromObj(joinedPtr,&len); + const char *joined = TclGetStringFromObj(joinedPtr,&len); if (strchr(separators, joined[len-1]) == NULL) { if (Tcl_FSGetPathType(pathPtr) != TCL_PATH_VOLUME_RELATIVE) { diff --git a/generic/tclIORChan.c b/generic/tclIORChan.c index f476a1a..1089d2b 100644 --- a/generic/tclIORChan.c +++ b/generic/tclIORChan.c @@ -1946,7 +1946,7 @@ ReflectGetOption( goto error; } else { int len; - const char *str = Tcl_GetStringFromObj(resObj, &len); + const char *str = TclGetStringFromObj(resObj, &len); if (len) { TclDStringAppendLiteral(dsPtr, " "); @@ -2319,7 +2319,7 @@ InvokeTclMethod( if (result != TCL_ERROR) { int cmdLen; - const char *cmdString = Tcl_GetStringFromObj(cmd, &cmdLen); + const char *cmdString = TclGetStringFromObj(cmd, &cmdLen); Tcl_IncrRefCount(cmd); Tcl_ResetResult(rcPtr->interp); @@ -3174,7 +3174,7 @@ ForwardProc( ForwardSetDynamicError(paramPtr, buf); } else { int len; - const char *str = Tcl_GetStringFromObj(resObj, &len); + const char *str = TclGetStringFromObj(resObj, &len); if (len) { TclDStringAppendLiteral(paramPtr->getOpt.value, " "); @@ -3273,7 +3273,7 @@ ForwardSetObjError( Tcl_Obj *obj) { int len; - const char *msgStr = Tcl_GetStringFromObj(obj, &len); + const char *msgStr = TclGetStringFromObj(obj, &len); len++; ForwardSetDynamicError(paramPtr, ckalloc(len)); diff --git a/generic/tclIORTrans.c b/generic/tclIORTrans.c index af86ba5..47e0bc8 100644 --- a/generic/tclIORTrans.c +++ b/generic/tclIORTrans.c @@ -2043,7 +2043,7 @@ InvokeTclMethod( if (result != TCL_ERROR) { Tcl_Obj *cmd = Tcl_NewListObj(cmdc, rtPtr->argv); int cmdLen; - const char *cmdString = Tcl_GetStringFromObj(cmd, &cmdLen); + const char *cmdString = TclGetStringFromObj(cmd, &cmdLen); Tcl_IncrRefCount(cmd); Tcl_ResetResult(rtPtr->interp); @@ -2807,7 +2807,7 @@ ForwardSetObjError( Tcl_Obj *obj) { int len; - const char *msgStr = Tcl_GetStringFromObj(obj, &len); + const char *msgStr = TclGetStringFromObj(obj, &len); len++; ForwardSetDynamicError(paramPtr, ckalloc(len)); diff --git a/generic/tclIOUtil.c b/generic/tclIOUtil.c index 3aa0ce5..397c3b1 100644 --- a/generic/tclIOUtil.c +++ b/generic/tclIOUtil.c @@ -544,8 +544,8 @@ TclFSCwdPointerEquals( int len1, len2; const char *str1, *str2; - str1 = Tcl_GetStringFromObj(tsdPtr->cwdPathPtr, &len1); - str2 = Tcl_GetStringFromObj(*pathPtrPtr, &len2); + str1 = TclGetStringFromObj(tsdPtr->cwdPathPtr, &len1); + str2 = TclGetStringFromObj(*pathPtrPtr, &len2); if ((len1 == len2) && !memcmp(str1, str2, len1)) { /* * They are equal, but different objects. Update so they will be @@ -688,7 +688,7 @@ FsUpdateCwd( ThreadSpecificData *tsdPtr = TCL_TSD_INIT(&fsDataKey); if (cwdObj != NULL) { - str = Tcl_GetStringFromObj(cwdObj, &len); + str = TclGetStringFromObj(cwdObj, &len); } Tcl_MutexLock(&cwdMutex); @@ -1224,8 +1224,8 @@ FsAddMountsToGlobResult( if (norm != NULL) { const char *path, *mount; - mount = Tcl_GetStringFromObj(mElt, &mlen); - path = Tcl_GetStringFromObj(norm, &len); + mount = TclGetStringFromObj(mElt, &mlen); + path = TclGetStringFromObj(norm, &len); if (path[len-1] == '/') { /* * Deal with the root of the volume. @@ -1816,7 +1816,7 @@ Tcl_FSEvalFileEx( oldScriptFile = iPtr->scriptFile; iPtr->scriptFile = pathPtr; Tcl_IncrRefCount(iPtr->scriptFile); - string = Tcl_GetStringFromObj(objPtr, &length); + string = TclGetStringFromObj(objPtr, &length); /* * TIP #280 Force the evaluator to open a frame for a sourced file. @@ -1843,7 +1843,7 @@ Tcl_FSEvalFileEx( * Record information telling where the error occurred. */ - const char *pathString = Tcl_GetStringFromObj(pathPtr, &length); + const char *pathString = TclGetStringFromObj(pathPtr, &length); int limit = 150; int overflow = (length > limit); @@ -1994,7 +1994,7 @@ EvalFileCallback( */ int length; - const char *pathString = Tcl_GetStringFromObj(pathPtr, &length); + const char *pathString = TclGetStringFromObj(pathPtr, &length); const int limit = 150; int overflow = (length > limit); @@ -2846,8 +2846,8 @@ Tcl_FSGetCwd( int len1, len2; const char *str1, *str2; - str1 = Tcl_GetStringFromObj(tsdPtr->cwdPathPtr, &len1); - str2 = Tcl_GetStringFromObj(norm, &len2); + str1 = TclGetStringFromObj(tsdPtr->cwdPathPtr, &len1); + str2 = TclGetStringFromObj(norm, &len2); if ((len1 == len2) && (strcmp(str1, str2) == 0)) { /* * If the paths were equal, we can be more efficient and @@ -4115,7 +4115,7 @@ TclGetPathType( * caller. */ { int pathLen; - const char *path = Tcl_GetStringFromObj(pathPtr, &pathLen); + const char *path = TclGetStringFromObj(pathPtr, &pathLen); Tcl_PathType type; type = TclFSNonnativePathType(path, pathLen, filesystemPtrPtr, @@ -4227,7 +4227,7 @@ TclFSNonnativePathType( numVolumes--; Tcl_ListObjIndex(NULL, thisFsVolumes, numVolumes, &vol); - strVol = Tcl_GetStringFromObj(vol,&len); + strVol = TclGetStringFromObj(vol,&len); if (pathLen < len) { continue; } @@ -4574,8 +4574,8 @@ Tcl_FSRemoveDirectory( Tcl_Obj *normPath = Tcl_FSGetNormalizedPath(NULL, pathPtr); if (normPath != NULL) { - normPathStr = Tcl_GetStringFromObj(normPath, &normLen); - cwdStr = Tcl_GetStringFromObj(cwdPtr, &cwdLen); + normPathStr = TclGetStringFromObj(normPath, &normLen); + cwdStr = TclGetStringFromObj(cwdPtr, &cwdLen); if ((cwdLen >= normLen) && (strncmp(normPathStr, cwdStr, (size_t) normLen) == 0)) { /* diff --git a/generic/tclIndexObj.c b/generic/tclIndexObj.c index 0e0ddc9..2281d22 100644 --- a/generic/tclIndexObj.c +++ b/generic/tclIndexObj.c @@ -712,10 +712,10 @@ PrefixAllObjCmd( return result; } resultPtr = Tcl_NewListObj(0, NULL); - string = Tcl_GetStringFromObj(objv[2], &length); + string = TclGetStringFromObj(objv[2], &length); for (t = 0; t < tableObjc; t++) { - elemString = Tcl_GetStringFromObj(tableObjv[t], &elemLength); + elemString = TclGetStringFromObj(tableObjv[t], &elemLength); /* * A prefix cannot match if it is longest. @@ -768,13 +768,13 @@ PrefixLongestObjCmd( if (result != TCL_OK) { return result; } - string = Tcl_GetStringFromObj(objv[2], &length); + string = TclGetStringFromObj(objv[2], &length); resultString = NULL; resultLength = 0; for (t = 0; t < tableObjc; t++) { - elemString = Tcl_GetStringFromObj(tableObjv[t], &elemLength); + elemString = TclGetStringFromObj(tableObjv[t], &elemLength); /* * First check if the prefix string matches the element. A prefix @@ -1148,7 +1148,7 @@ Tcl_ParseArgsObjv( curArg = objv[srcIndex]; srcIndex++; objc--; - str = Tcl_GetStringFromObj(curArg, &length); + str = TclGetStringFromObj(curArg, &length); if (length > 0) { c = str[1]; } else { diff --git a/generic/tclInterp.c b/generic/tclInterp.c index c281d6d..a2de658 100644 --- a/generic/tclInterp.c +++ b/generic/tclInterp.c @@ -4502,7 +4502,7 @@ SlaveCommandLimitCmd( switch ((enum Options) index) { case OPT_CMD: scriptObj = objv[i+1]; - (void) Tcl_GetStringFromObj(objv[i+1], &scriptLen); + (void) TclGetStringFromObj(scriptObj, &scriptLen); break; case OPT_GRAN: granObj = objv[i+1]; @@ -4519,7 +4519,7 @@ SlaveCommandLimitCmd( break; case OPT_VAL: limitObj = objv[i+1]; - (void) Tcl_GetStringFromObj(objv[i+1], &limitLen); + (void) TclGetStringFromObj(objv[i+1], &limitLen); if (limitLen == 0) { break; } @@ -4711,7 +4711,7 @@ SlaveTimeLimitCmd( switch ((enum Options) index) { case OPT_CMD: scriptObj = objv[i+1]; - (void) Tcl_GetStringFromObj(objv[i+1], &scriptLen); + (void) TclGetStringFromObj(objv[i+1], &scriptLen); break; case OPT_GRAN: granObj = objv[i+1]; @@ -4728,7 +4728,7 @@ SlaveTimeLimitCmd( break; case OPT_MILLI: milliObj = objv[i+1]; - (void) Tcl_GetStringFromObj(objv[i+1], &milliLen); + (void) TclGetStringFromObj(objv[i+1], &milliLen); if (milliLen == 0) { break; } @@ -4746,7 +4746,7 @@ SlaveTimeLimitCmd( break; case OPT_SEC: secObj = objv[i+1]; - (void) Tcl_GetStringFromObj(objv[i+1], &secLen); + (void) TclGetStringFromObj(objv[i+1], &secLen); if (secLen == 0) { break; } diff --git a/generic/tclLink.c b/generic/tclLink.c index 2735256..e6dc657 100644 --- a/generic/tclLink.c +++ b/generic/tclLink.c @@ -526,7 +526,7 @@ LinkTraceProc( break; case TCL_LINK_STRING: - value = Tcl_GetStringFromObj(valueObj, &valueLength); + value = TclGetStringFromObj(valueObj, &valueLength); valueLength++; pp = (char **) linkPtr->addr; diff --git a/generic/tclLiteral.c b/generic/tclLiteral.c index 03200ca..e0425cf 100644 --- a/generic/tclLiteral.c +++ b/generic/tclLiteral.c @@ -671,7 +671,7 @@ AddLocalLiteralEntry( } if (!found) { - bytes = Tcl_GetStringFromObj(objPtr, &length); + bytes = TclGetStringFromObj(objPtr, &length); Tcl_Panic("%s: literal \"%.*s\" wasn't found locally", "AddLocalLiteralEntry", (length>60? 60 : length), bytes); } @@ -1147,14 +1147,14 @@ TclVerifyLocalLiteralTable( localPtr=localPtr->nextPtr) { count++; if (localPtr->refCount != -1) { - bytes = Tcl_GetStringFromObj(localPtr->objPtr, &length); + bytes = TclGetStringFromObj(localPtr->objPtr, &length); Tcl_Panic("%s: local literal \"%.*s\" had bad refCount %d", "TclVerifyLocalLiteralTable", (length>60? 60 : length), bytes, localPtr->refCount); } if (LookupLiteralEntry((Tcl_Interp *) envPtr->iPtr, localPtr->objPtr) == NULL) { - bytes = Tcl_GetStringFromObj(localPtr->objPtr, &length); + bytes = TclGetStringFromObj(localPtr->objPtr, &length); Tcl_Panic("%s: local literal \"%.*s\" is not global", "TclVerifyLocalLiteralTable", (length>60? 60 : length), bytes); @@ -1205,7 +1205,7 @@ TclVerifyGlobalLiteralTable( globalPtr=globalPtr->nextPtr) { count++; if (globalPtr->refCount < 1) { - bytes = Tcl_GetStringFromObj(globalPtr->objPtr, &length); + bytes = TclGetStringFromObj(globalPtr->objPtr, &length); Tcl_Panic("%s: global literal \"%.*s\" had bad refCount %d", "TclVerifyGlobalLiteralTable", (length>60? 60 : length), bytes, globalPtr->refCount); diff --git a/generic/tclMain.c b/generic/tclMain.c index 28f8fd8..f89bd5e 100644 --- a/generic/tclMain.c +++ b/generic/tclMain.c @@ -536,7 +536,7 @@ Tcl_MainEx( * error messages troubles deeper in, so lop it back off. */ - Tcl_GetStringFromObj(is.commandPtr, &length); + TclGetStringFromObj(is.commandPtr, &length); Tcl_SetObjLength(is.commandPtr, --length); code = Tcl_RecordAndEvalObj(interp, is.commandPtr, TCL_EVAL_GLOBAL); @@ -553,7 +553,7 @@ Tcl_MainEx( } else if (is.tty) { resultPtr = Tcl_GetObjResult(interp); Tcl_IncrRefCount(resultPtr); - Tcl_GetStringFromObj(resultPtr, &length); + TclGetStringFromObj(resultPtr, &length); chan = Tcl_GetStdChannel(TCL_STDOUT); if ((length > 0) && chan) { Tcl_WriteObj(chan, resultPtr); @@ -797,7 +797,7 @@ StdinProc( goto prompt; } isPtr->prompt = PROMPT_START; - Tcl_GetStringFromObj(commandPtr, &length); + TclGetStringFromObj(commandPtr, &length); Tcl_SetObjLength(commandPtr, --length); /* @@ -828,7 +828,7 @@ StdinProc( chan = Tcl_GetStdChannel(TCL_STDOUT); Tcl_IncrRefCount(resultPtr); - Tcl_GetStringFromObj(resultPtr, &length); + TclGetStringFromObj(resultPtr, &length); if ((length > 0) && (chan != NULL)) { Tcl_WriteObj(chan, resultPtr); Tcl_WriteChars(chan, "\n", 1); diff --git a/generic/tclOODefineCmds.c b/generic/tclOODefineCmds.c index 8747ff5..8c3f28c 100644 --- a/generic/tclOODefineCmds.c +++ b/generic/tclOODefineCmds.c @@ -525,7 +525,7 @@ TclOOUnknownDefinition( return TCL_ERROR; } - soughtStr = Tcl_GetStringFromObj(objv[1], &soughtLen); + soughtStr = TclGetStringFromObj(objv[1], &soughtLen); if (soughtLen == 0) { goto noMatch; } @@ -585,7 +585,7 @@ FindCommand( Tcl_Namespace *const namespacePtr) { int length; - const char *nameStr, *string = Tcl_GetStringFromObj(stringObj, &length); + const char *nameStr, *string = TclGetStringFromObj(stringObj, &length); register Namespace *const nsPtr = (Namespace *) namespacePtr; FOREACH_HASH_DECLS; Tcl_Command cmd, cmd2; @@ -774,7 +774,7 @@ GenerateErrorInfo( int length; Tcl_Obj *realNameObj = Tcl_ObjectDeleted((Tcl_Object) oPtr) ? savedNameObj : TclOOObjectName(interp, oPtr); - const char *objName = Tcl_GetStringFromObj(realNameObj, &length); + const char *objName = TclGetStringFromObj(realNameObj, &length); int limit = OBJNAME_LENGTH_IN_ERRORINFO_LIMIT; int overflow = (length > limit); @@ -1239,7 +1239,7 @@ TclOODefineConstructorObjCmd( } clsPtr = oPtr->classPtr; - Tcl_GetStringFromObj(objv[2], &bodyLength); + TclGetStringFromObj(objv[2], &bodyLength); if (bodyLength > 0) { /* * Create the method structure. @@ -1358,7 +1358,7 @@ TclOODefineDestructorObjCmd( } clsPtr = oPtr->classPtr; - Tcl_GetStringFromObj(objv[1], &bodyLength); + TclGetStringFromObj(objv[1], &bodyLength); if (bodyLength > 0) { /* * Create the method structure. diff --git a/generic/tclOOMethod.c b/generic/tclOOMethod.c index 99a8bfc..9c49caa 100644 --- a/generic/tclOOMethod.c +++ b/generic/tclOOMethod.c @@ -1166,7 +1166,7 @@ MethodErrorHandler( CallContext *contextPtr = ((Interp *) interp)->varFramePtr->clientData; Method *mPtr = contextPtr->callPtr->chain[contextPtr->index].mPtr; const char *objectName, *kindName, *methodName = - Tcl_GetStringFromObj(mPtr->namePtr, &nameLen); + TclGetStringFromObj(mPtr->namePtr, &nameLen); Object *declarerPtr; if (mPtr->declaringObjectPtr != NULL) { diff --git a/generic/tclObj.c b/generic/tclObj.c index a45a392..776b034 100644 --- a/generic/tclObj.c +++ b/generic/tclObj.c @@ -663,7 +663,7 @@ TclContinuationsEnterDerived( * better way which doesn't shimmer?) */ - Tcl_GetStringFromObj(objPtr, &length); + TclGetStringFromObj(objPtr, &length); end = start + length; /* First char after the word */ /* @@ -1989,7 +1989,7 @@ TclSetBooleanFromAny( badBoolean: if (interp != NULL) { int length; - const char *str = Tcl_GetStringFromObj(objPtr, &length); + const char *str = TclGetStringFromObj(objPtr, &length); Tcl_Obj *msg; TclNewLiteralStringObj(msg, "expected boolean value but got \""); diff --git a/generic/tclOptimize.c b/generic/tclOptimize.c index 827d89d..8267a7d 100644 --- a/generic/tclOptimize.c +++ b/generic/tclOptimize.c @@ -233,7 +233,7 @@ ConvertZeroEffectToNOP( TclGetUInt1AtPtr(currentInstPtr + 1)); int numBytes; - (void) Tcl_GetStringFromObj(litPtr, &numBytes); + (void) TclGetStringFromObj(litPtr, &numBytes); if (numBytes == 0) { blank = size + InstLength(nextInst); } @@ -248,7 +248,7 @@ ConvertZeroEffectToNOP( TclGetUInt4AtPtr(currentInstPtr + 1)); int numBytes; - (void) Tcl_GetStringFromObj(litPtr, &numBytes); + (void) TclGetStringFromObj(litPtr, &numBytes); if (numBytes == 0) { blank = size + InstLength(nextInst); } diff --git a/generic/tclParse.c b/generic/tclParse.c index 5577e87..3a04df4 100644 --- a/generic/tclParse.c +++ b/generic/tclParse.c @@ -2220,7 +2220,7 @@ TclSubstTokens( if (result == 0) { clPos = 0; } else { - Tcl_GetStringFromObj(result, &clPos); + TclGetStringFromObj(result, &clPos); } if (numCL >= maxNumCL) { @@ -2496,7 +2496,7 @@ TclObjCommandComplete( * check. */ { int length; - const char *script = Tcl_GetStringFromObj(objPtr, &length); + const char *script = TclGetStringFromObj(objPtr, &length); return CommandComplete(script, length); } diff --git a/generic/tclPathObj.c b/generic/tclPathObj.c index 99d576d..cf8d784 100644 --- a/generic/tclPathObj.c +++ b/generic/tclPathObj.c @@ -231,7 +231,7 @@ TclFSNormalizeAbsolutePath( retVal = Tcl_NewStringObj(path, dirSep - path); Tcl_IncrRefCount(retVal); } - Tcl_GetStringFromObj(retVal, &curLen); + TclGetStringFromObj(retVal, &curLen); if (curLen == 0) { Tcl_AppendToObj(retVal, dirSep, 1); } @@ -257,7 +257,7 @@ TclFSNormalizeAbsolutePath( retVal = Tcl_NewStringObj(path, dirSep - path); Tcl_IncrRefCount(retVal); } - Tcl_GetStringFromObj(retVal, &curLen); + TclGetStringFromObj(retVal, &curLen); if (curLen == 0) { Tcl_AppendToObj(retVal, dirSep, 1); } @@ -288,7 +288,7 @@ TclFSNormalizeAbsolutePath( */ const char *path = - Tcl_GetStringFromObj(retVal, &curLen); + TclGetStringFromObj(retVal, &curLen); while (--curLen >= 0) { if (IsSeparatorOrNull(path[curLen])) { @@ -303,7 +303,7 @@ TclFSNormalizeAbsolutePath( Tcl_SetObjLength(retVal, curLen+1); Tcl_AppendObjToObj(retVal, linkObj); TclDecrRefCount(linkObj); - linkStr = Tcl_GetStringFromObj(retVal, &curLen); + linkStr = TclGetStringFromObj(retVal, &curLen); } else { /* * Absolute link. @@ -316,7 +316,7 @@ TclFSNormalizeAbsolutePath( } else { retVal = linkObj; } - linkStr = Tcl_GetStringFromObj(retVal, &curLen); + linkStr = TclGetStringFromObj(retVal, &curLen); /* * Convert to forward-slashes on windows. @@ -333,7 +333,7 @@ TclFSNormalizeAbsolutePath( } } } else { - linkStr = Tcl_GetStringFromObj(retVal, &curLen); + linkStr = TclGetStringFromObj(retVal, &curLen); } /* @@ -404,7 +404,7 @@ TclFSNormalizeAbsolutePath( if (tclPlatform == TCL_PLATFORM_WINDOWS) { int len; - const char *path = Tcl_GetStringFromObj(retVal, &len); + const char *path = TclGetStringFromObj(retVal, &len); if (len == 2 && path[0] != 0 && path[1] == ':') { if (Tcl_IsShared(retVal)) { @@ -579,7 +579,7 @@ TclPathPart( int numBytes; const char *rest = - Tcl_GetStringFromObj(fsPathPtr->normPathPtr, &numBytes); + TclGetStringFromObj(fsPathPtr->normPathPtr, &numBytes); if (strchr(rest, '/') != NULL) { goto standardPath; @@ -617,7 +617,7 @@ TclPathPart( int numBytes; const char *rest = - Tcl_GetStringFromObj(fsPathPtr->normPathPtr, &numBytes); + TclGetStringFromObj(fsPathPtr->normPathPtr, &numBytes); if (strchr(rest, '/') != NULL) { goto standardPath; @@ -646,7 +646,7 @@ TclPathPart( const char *fileName, *extension; int length; - fileName = Tcl_GetStringFromObj(fsPathPtr->normPathPtr, + fileName = TclGetStringFromObj(fsPathPtr->normPathPtr, &length); extension = TclGetExtension(fileName); if (extension == NULL) { @@ -698,7 +698,7 @@ TclPathPart( int length; const char *fileName, *extension; - fileName = Tcl_GetStringFromObj(pathPtr, &length); + fileName = TclGetStringFromObj(pathPtr, &length); extension = TclGetExtension(fileName); if (extension == NULL) { Tcl_IncrRefCount(pathPtr); @@ -881,7 +881,7 @@ TclJoinPath( const char *str; int len; - str = Tcl_GetStringFromObj(tailObj, &len); + str = TclGetStringFromObj(tailObj, &len); if (len == 0) { /* * This happens if we try to handle the root volume '/'. @@ -943,7 +943,7 @@ TclJoinPath( } } } - strElt = Tcl_GetStringFromObj(elt, &strEltLen); + strElt = TclGetStringFromObj(elt, &strEltLen); type = TclGetPathType(elt, &fsPtr, &driveNameLength, &driveName); if (type != TCL_PATH_RELATIVE) { /* @@ -1030,9 +1030,9 @@ TclJoinPath( noQuickReturn: if (res == NULL) { res = Tcl_NewObj(); - ptr = Tcl_GetStringFromObj(res, &length); + ptr = TclGetStringFromObj(res, &length); } else { - ptr = Tcl_GetStringFromObj(res, &length); + ptr = TclGetStringFromObj(res, &length); } /* @@ -1077,7 +1077,7 @@ TclJoinPath( if (length > 0 && ptr[length -1] != '/') { Tcl_AppendToObj(res, &separator, 1); - Tcl_GetStringFromObj(res, &length); + TclGetStringFromObj(res, &length); } Tcl_SetObjLength(res, length + (int) strlen(strElt)); @@ -1372,7 +1372,7 @@ AppendPath( * intrep produce the same results; that is, bugward compatibility. If * we need to fix that bug here, it needs fixing in TclJoinPath() too. */ - bytes = Tcl_GetStringFromObj(tail, &numBytes); + bytes = TclGetStringFromObj(tail, &numBytes); if (numBytes == 0) { Tcl_AppendToObj(copy, "/", 1); } else { @@ -1431,7 +1431,7 @@ TclFSMakePathRelative( * too little below, leading to wrong answers returned by glob. */ - tempStr = Tcl_GetStringFromObj(cwdPtr, &cwdLen); + tempStr = TclGetStringFromObj(cwdPtr, &cwdLen); /* * Should we perhaps use 'Tcl_FSPathSeparator'? But then what about the @@ -1451,7 +1451,7 @@ TclFSMakePathRelative( } break; } - tempStr = Tcl_GetStringFromObj(pathPtr, &len); + tempStr = TclGetStringFromObj(pathPtr, &len); return Tcl_NewStringObj(tempStr + cwdLen, len - cwdLen); } @@ -1715,7 +1715,7 @@ Tcl_FSGetTranslatedStringPath( if (transPtr != NULL) { int len; - const char *orig = Tcl_GetStringFromObj(transPtr, &len); + const char *orig = TclGetStringFromObj(transPtr, &len); char *result = ckalloc(len+1); memcpy(result, orig, (size_t) len+1); @@ -1776,7 +1776,7 @@ Tcl_FSGetNormalizedPath( UpdateStringOfFsPath(pathPtr); } - Tcl_GetStringFromObj(fsPathPtr->normPathPtr, &tailLen); + TclGetStringFromObj(fsPathPtr->normPathPtr, &tailLen); if (tailLen) { copy = AppendPath(dir, fsPathPtr->normPathPtr); } else { @@ -1789,7 +1789,7 @@ Tcl_FSGetNormalizedPath( * We now own a reference on both 'dir' and 'copy' */ - (void) Tcl_GetStringFromObj(dir, &cwdLen); + (void) TclGetStringFromObj(dir, &cwdLen); cwdLen += (Tcl_GetString(copy)[cwdLen] == '/'); /* Normalize the combined string. */ @@ -1883,7 +1883,7 @@ Tcl_FSGetNormalizedPath( copy = AppendPath(fsPathPtr->cwdPtr, pathPtr); - (void) Tcl_GetStringFromObj(fsPathPtr->cwdPtr, &cwdLen); + (void) TclGetStringFromObj(fsPathPtr->cwdPtr, &cwdLen); cwdLen += (Tcl_GetString(copy)[cwdLen] == '/'); /* @@ -2333,7 +2333,7 @@ SetFsPathFromAny( * cmdAH.test exercise most of the code). */ - name = Tcl_GetStringFromObj(pathPtr, &len); + name = TclGetStringFromObj(pathPtr, &len); /* * Handle tilde substitutions, if needed. @@ -2602,7 +2602,7 @@ UpdateStringOfFsPath( copy = AppendPath(fsPathPtr->cwdPtr, fsPathPtr->normPathPtr); - pathPtr->bytes = Tcl_GetStringFromObj(copy, &cwdLen); + pathPtr->bytes = TclGetStringFromObj(copy, &cwdLen); pathPtr->length = cwdLen; copy->bytes = tclEmptyStringRep; copy->length = 0; @@ -2663,7 +2663,7 @@ TclNativePathInFilesystem( int len; - (void) Tcl_GetStringFromObj(pathPtr, &len); + (void) TclGetStringFromObj(pathPtr, &len); if (len == 0) { /* * We reject the empty path "". diff --git a/generic/tclPkg.c b/generic/tclPkg.c index 86777a8..244eb94 100644 --- a/generic/tclPkg.c +++ b/generic/tclPkg.c @@ -842,7 +842,7 @@ Tcl_PackageObjCmd( } else { pkgPtr = FindPackage(interp, argv2); } - argv3 = Tcl_GetStringFromObj(objv[3], &length); + argv3 = TclGetStringFromObj(objv[3], &length); for (availPtr = pkgPtr->availPtr, prevPtr = NULL; availPtr != NULL; prevPtr = availPtr, availPtr = availPtr->nextPtr) { @@ -883,7 +883,7 @@ Tcl_PackageObjCmd( prevPtr->nextPtr = availPtr; } } - argv4 = Tcl_GetStringFromObj(objv[4], &length); + argv4 = TclGetStringFromObj(objv[4], &length); DupBlock(availPtr->script, argv4, (unsigned) length + 1); break; } @@ -1034,7 +1034,7 @@ Tcl_PackageObjCmd( if (iPtr->packageUnknown != NULL) { ckfree(iPtr->packageUnknown); } - argv2 = Tcl_GetStringFromObj(objv[2], &length); + argv2 = TclGetStringFromObj(objv[2], &length); if (argv2[0] == 0) { iPtr->packageUnknown = NULL; } else { @@ -1682,7 +1682,7 @@ AddRequirementsToResult( int i, length; for (i = 0; i < reqc; i++) { - const char *v = Tcl_GetStringFromObj(reqv[i], &length); + const char *v = TclGetStringFromObj(reqv[i], &length); if ((length & 0x1) && (v[length/2] == '-') && (strncmp(v, v+((length+1)/2), length/2) == 0)) { diff --git a/generic/tclProc.c b/generic/tclProc.c index ae9e7cd..81d3b25 100644 --- a/generic/tclProc.c +++ b/generic/tclProc.c @@ -343,7 +343,7 @@ Tcl_ProcObjCmd( * The argument list is just "args"; check the body */ - procBody = Tcl_GetStringFromObj(objv[3], &numBytes); + procBody = TclGetStringFromObj(objv[3], &numBytes); if (TclParseAllWhiteSpace(procBody, numBytes) < numBytes) { goto done; } @@ -2083,7 +2083,7 @@ MakeProcError( * messages and trace information. */ { int overflow, limit = 60, nameLen; - const char *procName = Tcl_GetStringFromObj(procNameObj, &nameLen); + const char *procName = TclGetStringFromObj(procNameObj, &nameLen); overflow = (nameLen > limit); Tcl_AppendObjToErrorInfo(interp, Tcl_ObjPrintf( @@ -2764,7 +2764,7 @@ MakeLambdaError( * messages and trace information. */ { int overflow, limit = 60, nameLen; - const char *procName = Tcl_GetStringFromObj(procNameObj, &nameLen); + const char *procName = TclGetStringFromObj(procNameObj, &nameLen); overflow = (nameLen > limit); Tcl_AppendObjToErrorInfo(interp, Tcl_ObjPrintf( diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index b480735..e3cede6 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2285,7 +2285,7 @@ Tcl_AppendFormatToObj( } } - Tcl_GetStringFromObj(segment, &segmentNumBytes); + TclGetStringFromObj(segment, &segmentNumBytes); if (segmentNumBytes > limit) { if (allocSegment) { Tcl_DecrRefCount(segment); diff --git a/generic/tclTimer.c b/generic/tclTimer.c index c83b5f5..6d3938b 100644 --- a/generic/tclTimer.c +++ b/generic/tclTimer.c @@ -900,10 +900,10 @@ Tcl_AfterObjCmd( } else { commandPtr = Tcl_ConcatObj(objc-2, objv+2);; } - command = Tcl_GetStringFromObj(commandPtr, &length); + command = TclGetStringFromObj(commandPtr, &length); for (afterPtr = assocPtr->firstAfterPtr; afterPtr != NULL; afterPtr = afterPtr->nextPtr) { - tempCommand = Tcl_GetStringFromObj(afterPtr->commandPtr, + tempCommand = TclGetStringFromObj(afterPtr->commandPtr, &tempLength); if ((length == tempLength) && !memcmp(command, tempCommand, (unsigned) length)) { diff --git a/generic/tclTrace.c b/generic/tclTrace.c index 33e62b2..0c73cba 100644 --- a/generic/tclTrace.c +++ b/generic/tclTrace.c @@ -278,7 +278,7 @@ Tcl_TraceObjCmd( opsList = Tcl_NewObj(); Tcl_IncrRefCount(opsList); - flagOps = Tcl_GetStringFromObj(objv[3], &numFlags); + flagOps = TclGetStringFromObj(objv[3], &numFlags); if (numFlags == 0) { Tcl_DecrRefCount(opsList); goto badVarOps; @@ -462,7 +462,7 @@ TraceExecutionObjCmd( break; } } - command = Tcl_GetStringFromObj(objv[5], &commandLength); + command = TclGetStringFromObj(objv[5], &commandLength); length = (size_t) commandLength; if ((enum traceOptions) optionIndex == TRACE_ADD) { TraceCommandInfo *tcmdPtr = ckalloc( @@ -701,7 +701,7 @@ TraceCommandObjCmd( } } - command = Tcl_GetStringFromObj(objv[5], &commandLength); + command = TclGetStringFromObj(objv[5], &commandLength); length = (size_t) commandLength; if ((enum traceOptions) optionIndex == TRACE_ADD) { TraceCommandInfo *tcmdPtr = ckalloc( @@ -904,7 +904,7 @@ TraceVariableObjCmd( break; } } - command = Tcl_GetStringFromObj(objv[5], &commandLength); + command = TclGetStringFromObj(objv[5], &commandLength); length = (size_t) commandLength; if ((enum traceOptions) optionIndex == TRACE_ADD) { CombinedTraceVarInfo *ctvarPtr = ckalloc( diff --git a/generic/tclUtil.c b/generic/tclUtil.c index 553593c..f0c7f77 100644 --- a/generic/tclUtil.c +++ b/generic/tclUtil.c @@ -1968,7 +1968,7 @@ Tcl_ConcatObj( if (TclListObjIsCanonical(objPtr)) { continue; } - Tcl_GetStringFromObj(objPtr, &length); + TclGetStringFromObj(objPtr, &length); if (length > 0) { break; } @@ -2677,7 +2677,7 @@ TclDStringAppendObj( Tcl_Obj *objPtr) { int length; - char *bytes = Tcl_GetStringFromObj(objPtr, &length); + char *bytes = TclGetStringFromObj(objPtr, &length); return Tcl_DStringAppend(dsPtr, bytes, length); } @@ -4000,7 +4000,7 @@ TclSetProcessGlobalValue( } else { Tcl_CreateExitHandler(FreeProcessGlobalValue, pgvPtr); } - bytes = Tcl_GetStringFromObj(newValue, &pgvPtr->numBytes); + bytes = TclGetStringFromObj(newValue, &pgvPtr->numBytes); pgvPtr->value = ckalloc(pgvPtr->numBytes + 1); memcpy(pgvPtr->value, bytes, (unsigned) pgvPtr->numBytes + 1); if (pgvPtr->encoding) { diff --git a/generic/tclZlib.c b/generic/tclZlib.c index dac47cf..10fa4f7 100644 --- a/generic/tclZlib.c +++ b/generic/tclZlib.c @@ -438,7 +438,7 @@ GenerateHeader( if (GetValue(interp, dictObj, "comment", &value) != TCL_OK) { goto error; } else if (value != NULL) { - valueStr = Tcl_GetStringFromObj(value, &len); + valueStr = TclGetStringFromObj(value, &len); Tcl_UtfToExternal(NULL, latin1enc, valueStr, len, 0, NULL, headerPtr->nativeCommentBuf, MAX_COMMENT_LEN-1, NULL, &len, NULL); @@ -459,7 +459,7 @@ GenerateHeader( if (GetValue(interp, dictObj, "filename", &value) != TCL_OK) { goto error; } else if (value != NULL) { - valueStr = Tcl_GetStringFromObj(value, &len); + valueStr = TclGetStringFromObj(value, &len); Tcl_UtfToExternal(NULL, latin1enc, valueStr, len, 0, NULL, headerPtr->nativeFilenameBuf, MAXPATHLEN-1, NULL, &len, NULL); headerPtr->nativeFilenameBuf[len] = '\0'; @@ -3346,7 +3346,7 @@ ZlibTransformGetOption( } else { if (cd->compDictObj) { int len; - const char *str = Tcl_GetStringFromObj(cd->compDictObj, &len); + const char *str = TclGetStringFromObj(cd->compDictObj, &len); Tcl_DStringAppend(dsPtr, str, len); } diff --git a/macosx/tclMacOSXFCmd.c b/macosx/tclMacOSXFCmd.c index 7c643a3..946e350 100644 --- a/macosx/tclMacOSXFCmd.c +++ b/macosx/tclMacOSXFCmd.c @@ -640,7 +640,7 @@ SetOSTypeFromAny( Tcl_DString ds; Tcl_Encoding encoding = Tcl_GetEncoding(NULL, "macRoman"); - string = Tcl_GetStringFromObj(objPtr, &length); + string = TclGetStringFromObj(objPtr, &length); Tcl_UtfToExternalDString(encoding, string, length, &ds); if (Tcl_DStringLength(&ds) > 4) { diff --git a/unix/dltest/pkgua.c b/unix/dltest/pkgua.c index 6d95640..8634a5e 100644 --- a/unix/dltest/pkgua.c +++ b/unix/dltest/pkgua.c @@ -11,7 +11,6 @@ * this file, and for a DISCLAIMER OF ALL WARRANTIES. */ -#undef STATIC_BUILD #include "tcl.h" /* @@ -70,7 +69,7 @@ PkguaInterpToTokens( int newEntry; Tcl_Command *cmdTokens; Tcl_HashEntry *entryPtr = - Tcl_CreateHashEntry(&interpTokenMap, (char *) interp, &newEntry); + Tcl_CreateHashEntry(&interpTokenMap, interp, &newEntry); if (newEntry) { cmdTokens = (Tcl_Command *) @@ -90,7 +89,7 @@ PkguaDeleteTokens( Tcl_Interp *interp) { Tcl_HashEntry *entryPtr = - Tcl_FindHashEntry(&interpTokenMap, (char *) interp); + Tcl_FindHashEntry(&interpTokenMap, interp); if (entryPtr) { Tcl_Free((char *) Tcl_GetHashValue(entryPtr)); diff --git a/unix/tclUnixFCmd.c b/unix/tclUnixFCmd.c index a1a409e..4d38f8e 100644 --- a/unix/tclUnixFCmd.c +++ b/unix/tclUnixFCmd.c @@ -1509,7 +1509,7 @@ SetGroupAttribute( const char *string; int length; - string = Tcl_GetStringFromObj(attributePtr, &length); + string = TclGetStringFromObj(attributePtr, &length); native = Tcl_UtfToExternalDString(NULL, string, length, &ds); groupPtr = TclpGetGrNam(native); /* INTL: Native. */ @@ -1576,7 +1576,7 @@ SetOwnerAttribute( const char *string; int length; - string = Tcl_GetStringFromObj(attributePtr, &length); + string = TclGetStringFromObj(attributePtr, &length); native = Tcl_UtfToExternalDString(NULL, string, length, &ds); pwPtr = TclpGetPwNam(native); /* INTL: Native. */ @@ -1948,7 +1948,7 @@ TclpObjNormalizePath( const char *currentPathEndPosition; int pathLen; char cur; - const char *path = Tcl_GetStringFromObj(pathPtr, &pathLen); + const char *path = TclGetStringFromObj(pathPtr, &pathLen); Tcl_DString ds; const char *nativePath; #ifndef NO_REALPATH @@ -2184,7 +2184,7 @@ TclUnixOpenTemporaryFile( */ if (dirObj) { - string = Tcl_GetStringFromObj(dirObj, &len); + string = TclGetStringFromObj(dirObj, &len); Tcl_UtfToExternalDString(NULL, string, len, &template); } else { Tcl_DStringInit(&template); @@ -2194,7 +2194,7 @@ TclUnixOpenTemporaryFile( TclDStringAppendLiteral(&template, "/"); if (basenameObj) { - string = Tcl_GetStringFromObj(basenameObj, &len); + string = TclGetStringFromObj(basenameObj, &len); Tcl_UtfToExternalDString(NULL, string, len, &tmp); TclDStringAppendDString(&template, &tmp); Tcl_DStringFree(&tmp); @@ -2206,7 +2206,7 @@ TclUnixOpenTemporaryFile( #ifdef HAVE_MKSTEMPS if (extensionObj) { - string = Tcl_GetStringFromObj(extensionObj, &len); + string = TclGetStringFromObj(extensionObj, &len); Tcl_UtfToExternalDString(NULL, string, len, &tmp); TclDStringAppendDString(&template, &tmp); fd = mkstemps(Tcl_DStringValue(&template), Tcl_DStringLength(&tmp)); diff --git a/unix/tclUnixFile.c b/unix/tclUnixFile.c index 7ffbf8d..886b5ad 100644 --- a/unix/tclUnixFile.c +++ b/unix/tclUnixFile.c @@ -269,7 +269,7 @@ TclpMatchInDirectory( Tcl_DString dsOrig; /* utf-8 encoding of dir */ Tcl_DStringInit(&dsOrig); - dirName = Tcl_GetStringFromObj(fileNamePtr, &dirLength); + dirName = TclGetStringFromObj(fileNamePtr, &dirLength); Tcl_DStringAppend(&dsOrig, dirName, dirLength); /* @@ -951,7 +951,7 @@ TclpObjLink( if (transPtr == NULL) { return NULL; } - target = Tcl_GetStringFromObj(transPtr, &targetLen); + target = TclGetStringFromObj(transPtr, &targetLen); target = Tcl_UtfToExternalDString(NULL, target, targetLen, &ds); Tcl_DecrRefCount(transPtr); @@ -1105,7 +1105,7 @@ TclNativeCreateNativeRep( Tcl_IncrRefCount(validPathPtr); } - str = Tcl_GetStringFromObj(validPathPtr, &len); + str = TclGetStringFromObj(validPathPtr, &len); Tcl_UtfToExternalDString(NULL, str, len, &ds); len = Tcl_DStringLength(&ds) + sizeof(char); if (strlen(Tcl_DStringValue(&ds)) < len - sizeof(char)) { diff --git a/unix/tclUnixInit.c b/unix/tclUnixInit.c index aaff9ec..57215f1 100644 --- a/unix/tclUnixInit.c +++ b/unix/tclUnixInit.c @@ -550,7 +550,7 @@ TclpInitLibraryPath( Tcl_DStringFree(&buffer); *encodingPtr = Tcl_GetEncoding(NULL, NULL); - str = Tcl_GetStringFromObj(pathPtr, lengthPtr); + str = TclGetStringFromObj(pathPtr, lengthPtr); *valuePtr = ckalloc((*lengthPtr) + 1); memcpy(*valuePtr, str, (size_t)(*lengthPtr)+1); Tcl_DecrRefCount(pathPtr); diff --git a/win/tclWinFCmd.c b/win/tclWinFCmd.c index 52ea8c6..8904a05 100644 --- a/win/tclWinFCmd.c +++ b/win/tclWinFCmd.c @@ -1526,7 +1526,7 @@ GetWinFileAttributes( */ int len; - const char *str = Tcl_GetStringFromObj(fileName,&len); + const char *str = TclGetStringFromObj(fileName,&len); if (len < 4) { if (len == 0) { @@ -1615,7 +1615,7 @@ ConvertFileNameFormat( Tcl_ListObjIndex(NULL, splitPath, i, &elt); - pathv = Tcl_GetStringFromObj(elt, &pathLen); + pathv = TclGetStringFromObj(elt, &pathLen); if ((pathv[0] == '/') || ((pathLen == 3) && (pathv[1] == ':')) || (strcmp(pathv, ".") == 0) || (strcmp(pathv, "..") == 0)) { /* @@ -1653,7 +1653,7 @@ ConvertFileNameFormat( */ Tcl_DStringInit(&ds); - tempString = Tcl_GetStringFromObj(tempPath,&tempLen); + tempString = TclGetStringFromObj(tempPath,&tempLen); nativeName = Tcl_WinUtfToTChar(tempString, tempLen, &ds); Tcl_DecrRefCount(tempPath); handle = FindFirstFile(nativeName, &data); diff --git a/win/tclWinFile.c b/win/tclWinFile.c index 4b0b884..c840a46 100755 --- a/win/tclWinFile.c +++ b/win/tclWinFile.c @@ -935,7 +935,7 @@ TclpMatchInDirectory( int len; DWORD attr; WIN32_FILE_ATTRIBUTE_DATA data; - const char *str = Tcl_GetStringFromObj(norm,&len); + const char *str = TclGetStringFromObj(norm,&len); native = Tcl_FSGetNativePath(pathPtr); @@ -995,7 +995,7 @@ TclpMatchInDirectory( */ Tcl_DStringInit(&dsOrig); - dirName = Tcl_GetStringFromObj(fileNamePtr, &dirLength); + dirName = TclGetStringFromObj(fileNamePtr, &dirLength); Tcl_DStringAppend(&dsOrig, dirName, dirLength); lastChar = dirName[dirLength -1]; @@ -2689,7 +2689,7 @@ TclpObjNormalizePath( tmpPathPtr = Tcl_NewStringObj(Tcl_DStringValue(&ds), nextCheckpoint); Tcl_AppendToObj(tmpPathPtr, lastValidPathEnd, -1); - path = Tcl_GetStringFromObj(tmpPathPtr, &len); + path = TclGetStringFromObj(tmpPathPtr, &len); Tcl_SetStringObj(pathPtr, path, len); Tcl_DecrRefCount(tmpPathPtr); } else { @@ -2775,7 +2775,7 @@ TclWinVolumeRelativeNormalize( int cwdLen; const char *drive = - Tcl_GetStringFromObj(useThisCwd, &cwdLen); + TclGetStringFromObj(useThisCwd, &cwdLen); char drive_cur = path[0]; if (drive_cur >= 'a') { diff --git a/win/tclWinInit.c b/win/tclWinInit.c index 8b600f6..b5a07aa 100644 --- a/win/tclWinInit.c +++ b/win/tclWinInit.c @@ -214,7 +214,7 @@ TclpInitLibraryPath( TclGetProcessGlobalValue(&sourceLibraryDir)); *encodingPtr = NULL; - bytes = Tcl_GetStringFromObj(pathPtr, lengthPtr); + bytes = TclGetStringFromObj(pathPtr, lengthPtr); *valuePtr = ckalloc((*lengthPtr) + 1); memcpy(*valuePtr, bytes, (size_t)(*lengthPtr)+1); Tcl_DecrRefCount(pathPtr); -- cgit v0.12 From 8f0cfce66a4fd94536faac0595c3d7d7c7844d64 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 8 Jul 2016 12:38:35 +0000 Subject: (cherry-pick): Bugfix [5d7ea04580]. Treat .cmd and .ps1 files are executable on Windows. --- doc/file.n | 4 +++- win/tclWinFile.c | 4 +++- 2 files changed, 6 insertions(+), 2 deletions(-) diff --git a/doc/file.n b/doc/file.n index 36eae79..43eae7a 100644 --- a/doc/file.n +++ b/doc/file.n @@ -156,7 +156,9 @@ returns \fB/home\fR (or something similar). \fBfile executable \fIname\fR . Returns \fB1\fR if file \fIname\fR is executable by the current user, -\fB0\fR otherwise. +\fB0\fR otherwise. On Windows, which does not have an executable attribute, +the command treats all directories and any files with extensions +\fBexe\fR, \fBcom\fR, \fBcmd\fR, \fBbat\fR or \fBps1\fR as executable. .TP \fBfile exists \fIname\fR . diff --git a/win/tclWinFile.c b/win/tclWinFile.c index 41de4a8..e671058 100755 --- a/win/tclWinFile.c +++ b/win/tclWinFile.c @@ -1783,7 +1783,7 @@ NativeAccess( * NativeIsExec -- * * Determines if a path is executable. On windows this is simply defined - * by whether the path ends in any of ".exe", ".com", or ".bat" + * by whether the path ends in a standard executable extension. * * Results: * 1 = executable, 0 = not. @@ -1834,6 +1834,8 @@ NativeIsExec( if ((strcasecmp(p, "exe") == 0) || (strcasecmp(p, "com") == 0) + || (strcasecmp(p, "cmd") == 0) + || (strcasecmp(p, "ps1") == 0) || (strcasecmp(p, "bat") == 0)) { /* * File that ends with .exe, .com, or .bat is executable. -- cgit v0.12 From 8435bb9d68cdb26190ded1caca280eaac0314444 Mon Sep 17 00:00:00 2001 From: ashok Date: Sat, 9 Jul 2016 08:27:00 +0000 Subject: Bugfix [ae61a67192]. file {stat, type, size} etc. support for built-in special Windows files/devices like CON. --- generic/tclCmdAH.c | 19 ++++++++++++++++++ tests/cmdAH.test | 56 ++++++++++++++++++++++++++++++++++++++++++++++++++++-- win/tclWinFile.c | 43 +++++++++++++++++++++++++++++++---------- win/tclWinPort.h | 14 ++++++++++++++ 4 files changed, 120 insertions(+), 12 deletions(-) diff --git a/generic/tclCmdAH.c b/generic/tclCmdAH.c index 54e0227..a53f1f7 100644 --- a/generic/tclCmdAH.c +++ b/generic/tclCmdAH.c @@ -1157,6 +1157,16 @@ FileAttrAccessTimeCmd( if (GetStatBuf(interp, objv[1], Tcl_FSStat, &buf) != TCL_OK) { return TCL_ERROR; } +#if defined(_WIN32) + /* We use a value of 0 to indicate the access time not available */ + if (buf.st_atime == 0) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "could not get access time for file \"%s\"", + TclGetString(objv[1]))); + return TCL_ERROR; + } +#endif + if (objc == 3) { /* * Need separate variable for reading longs from an object on 64-bit @@ -1229,6 +1239,15 @@ FileAttrModifyTimeCmd( if (GetStatBuf(interp, objv[1], Tcl_FSStat, &buf) != TCL_OK) { return TCL_ERROR; } +#if defined(_WIN32) + /* We use a value of 0 to indicate the modification time not available */ + if (buf.st_mtime == 0) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "could not get modification time for file \"%s\"", + TclGetString(objv[1]))); + return TCL_ERROR; + } +#endif if (objc == 3) { /* * Need separate variable for reading longs from an object on 64-bit diff --git a/tests/cmdAH.test b/tests/cmdAH.test index f2f7f8c..6240500 100644 --- a/tests/cmdAH.test +++ b/tests/cmdAH.test @@ -1026,6 +1026,16 @@ test cmdAH-20.6 {Tcl_FileObjCmd: atime touch} -setup { set modatime [file atime $file $newatime] expr {$newatime == $modatime ? 1 : "$newatime != $modatime"} } -result 1 +test cmdAH-20.7 { + Tcl_FileObjCmd: atime (built-in Windows names) +} -constraints {win} -body { + file atime con +} -result "could not get access time for file \"con\"" -returnCodes error +test cmdAH-20.7.1 { + Tcl_FileObjCmd: atime (built-in Windows names with dir path and extension) +} -constraints {win} -body { + file atime [file join [temporaryDirectory] CON.txt] +} -result "could not get access time for file \"[file join [temporaryDirectory] CON.txt]\"" -returnCodes error if {[testConstraint unix] && [file exists /tmp]} { removeFile touch.me /tmp @@ -1257,6 +1267,16 @@ test cmdAH-24.13 {Tcl_FileObjCmd: directory mtime} -setup { } -cleanup { file delete -force $dirname } -result {0 1} +test cmdAH-24.14 { + Tcl_FileObjCmd: mtime (built-in Windows names) +} -constraints {win} -body { + file mtime con +} -result "could not get modification time for file \"con\"" -returnCodes error +test cmdAH-24.14.1 { + Tcl_FileObjCmd: mtime (built-in Windows names with dir path and extension) +} -constraints {win} -body { + file mtime [file join [temporaryDirectory] CON.txt] +} -result "could not get modification time for file \"[file join [temporaryDirectory] CON.txt]\"" -returnCodes error # owned test cmdAH-25.1 {Tcl_FileObjCmd: owned} -returnCodes error -body { @@ -1306,6 +1326,16 @@ test cmdAH-27.2 {Tcl_FileObjCmd: size} { test cmdAH-27.3 {Tcl_FileObjCmd: size} { list [catch {file size _bogus_} msg] [string tolower $msg] $errorCode } {1 {could not read "_bogus_": no such file or directory} {POSIX ENOENT {no such file or directory}}} +test cmdAH-27.4 { + Tcl_FileObjCmd: size (built-in Windows names) +} -constraints {win} -body { + file size con +} -result 0 +test cmdAH-27.4.1 { + Tcl_FileObjCmd: size (built-in Windows names with dir path and extension) +} -constraints {win} -body { + file size [file join [temporaryDirectory] con.txt] +} -result 0 catch {testsetplatform $platform} removeFile $gorpfile @@ -1397,12 +1427,24 @@ test cmdAH-28.12 {Tcl_FileObjCmd: stat} -setup { } -cleanup { removeFile $filename } -result 1 +test cmdAH-28.13 {Tcl_FileObjCmd: stat (built-in Windows names)} -setup { + unset -nocomplain stat +} -body { + file stat con stat + lmap elem {atime ctime dev gid ino mode mtime nlink size type uid} {set stat($elem)} +} -result {0 0 -1 0 0 8630 0 0 0 characterSpecial 0} +test cmdAH-28.13.1 {Tcl_FileObjCmd: stat (built-in Windows names)} -setup { + unset -nocomplain stat +} -body { + file stat [file join [temporaryDirectory] CON.txt] stat + lmap elem {atime ctime dev gid ino mode mtime nlink size type uid} {set stat($elem)} +} -result {0 0 -1 0 0 8630 0 0 0 characterSpecial 0} unset -nocomplain stat # type test cmdAH-29.1 {Tcl_FileObjCmd: type} -returnCodes error -body { - file size a b -} -result {wrong # args: should be "file size name"} + file type a b +} -result {wrong # args: should be "file type name"} test cmdAH-29.2 {Tcl_FileObjCmd: type} { file type $dirfile } directory @@ -1437,6 +1479,16 @@ test cmdAH-29.4.1 {Tcl_FileObjCmd: type} -constraints {linkDirectory} -setup { test cmdAH-29.5 {Tcl_FileObjCmd: type} { list [catch {file type _bogus_} msg] [string tolower $msg] $errorCode } {1 {could not read "_bogus_": no such file or directory} {POSIX ENOENT {no such file or directory}}} +test cmdAH-29.6 { + Tcl_FileObjCmd: type (built-in Windows names) +} -constraints {win} -body { + file type con +} -result "characterSpecial" +test cmdAH-29.6.1 { + Tcl_FileObjCmd: type (built-in Windows names, with dir path and extension) +} -constraints {win} -body { + file type [file join [temporaryDirectory] CON.txt] +} -result "characterSpecial" # Error conditions test cmdAH-30.1 {Tcl_FileObjCmd: error conditions} -returnCodes error -body { diff --git a/win/tclWinFile.c b/win/tclWinFile.c index 4b0b884..7f6dff9 100755 --- a/win/tclWinFile.c +++ b/win/tclWinFile.c @@ -1953,6 +1953,7 @@ NativeStat( unsigned short mode; unsigned int inode = 0; HANDLE fileHandle; + DWORD fileType = FILE_TYPE_UNKNOWN; /* * If we can use 'createFile' on this, then we can use the resulting @@ -1960,6 +1961,14 @@ NativeStat( * other attributes reading APIs. If not, then we try to fall back on the * 'getFileAttributesExProc', and if that isn't available, then on even * simpler routines. + * + * Special consideration must be given to Windows hardcoded names + * like CON, NULL, COM1, LPT1 etc. For these, we still need to + * do the CreateFile as some may not exist (e.g. there is no CON + * in wish by default). However the subsequent GetFileInformationByHandle + * will fail. We do a WinIsReserved to see if it is one of the special + * names, and if successful, mock up a BY_HANDLE_FILE_INFORMATION + * structure. */ fileHandle = CreateFile(nativePath, GENERIC_READ, @@ -1970,19 +1979,26 @@ NativeStat( BY_HANDLE_FILE_INFORMATION data; if (GetFileInformationByHandle(fileHandle,&data) != TRUE) { - CloseHandle(fileHandle); - Tcl_SetErrno(ENOENT); - return -1; - } - CloseHandle(fileHandle); - + fileType = GetFileType(fileHandle); + CloseHandle(fileHandle); + if (fileType != FILE_TYPE_CHAR && fileType != FILE_TYPE_DISK) { + Tcl_SetErrno(ENOENT); + return -1; + } + /* Mock up the expected structure */ + memset(&data, 0, sizeof(data)); + statPtr->st_atime = 0; + statPtr->st_mtime = 0; + statPtr->st_ctime = 0; + } else { + CloseHandle(fileHandle); + statPtr->st_atime = ToCTime(data.ftLastAccessTime); + statPtr->st_mtime = ToCTime(data.ftLastWriteTime); + statPtr->st_ctime = ToCTime(data.ftCreationTime); + } attr = data.dwFileAttributes; - statPtr->st_size = ((Tcl_WideInt) data.nFileSizeLow) | (((Tcl_WideInt) data.nFileSizeHigh) << 32); - statPtr->st_atime = ToCTime(data.ftLastAccessTime); - statPtr->st_mtime = ToCTime(data.ftLastWriteTime); - statPtr->st_ctime = ToCTime(data.ftCreationTime); /* * On Unix, for directories, nlink apparently depends on the number of @@ -2038,6 +2054,13 @@ NativeStat( dev = NativeDev(nativePath); mode = NativeStatMode(attr, checkLinks, NativeIsExec(nativePath)); + if (fileType == FILE_TYPE_CHAR) { + mode &= ~S_IFMT; + mode |= S_IFCHR; + } else if (fileType == FILE_TYPE_DISK) { + mode &= ~S_IFMT; + mode |= S_IFBLK; + } statPtr->st_dev = (dev_t) dev; statPtr->st_ino = inode; diff --git a/win/tclWinPort.h b/win/tclWinPort.h index ca6b2bf..b486466 100644 --- a/win/tclWinPort.h +++ b/win/tclWinPort.h @@ -360,6 +360,20 @@ typedef DWORD_PTR * PDWORD_PTR; # define S_IFLNK 0120000 /* Symbolic Link */ #endif +/* + * Windows compilers do not define S_IFBLK. However, Tcl uses it in + * GetTypeFromMode to identify blockSpecial devices based on the + * value in the statsbuf st_mode field. We have no other way to pass this + * from NativeStat on Windows so are forced to define it here. + * The definition here is essentially what is seen on Linux and MingW. + * XXX - the root problem is Tcl using Unix definitions instead of + * abstracting the structure into a platform independent one. Sigh - perhaps + * Tcl 9 + */ +#ifndef S_IFBLK +# define S_IFBLK (S_IFDIR | S_IFCHR) +#endif + #ifndef S_ISREG # ifdef S_IFREG # define S_ISREG(m) (((m) & S_IFMT) == S_IFREG) -- cgit v0.12 From 673b7ecc2109080c1d8ab85bede83600d5dfff1e Mon Sep 17 00:00:00 2001 From: ashok Date: Sat, 9 Jul 2016 11:13:48 +0000 Subject: Bugfix [3613671]. file owned implementation for Windows. --- doc/file.n | 7 +++--- generic/tclCmdAH.c | 17 +++++--------- tests/cmdAH.test | 6 +++++ win/tclWinFile.c | 66 +++++++++++++++++++++++++++++++++++++++++++++++++++++- win/tclWinInt.h | 1 + 5 files changed, 81 insertions(+), 16 deletions(-) diff --git a/doc/file.n b/doc/file.n index eeb67ed..58b03d8 100644 --- a/doc/file.n +++ b/doc/file.n @@ -484,10 +484,9 @@ not the effective ones. .TP \fBWindows\fR\0\0\0\0 . -The \fBfile owned\fR subcommand currently always reports that the current user -is the owner of the file, without regard for what the operating system -believes to be true, making an ownership test useless. This issue (#3613671) -may be fixed in a future release of Tcl. +The \fBfile owned\fR subcommand uses the user identifier (SID) of +the process token, not the thread token which may be impersonating +some other user. .SH EXAMPLES .PP This procedure shows how to search for C files in a given directory diff --git a/generic/tclCmdAH.c b/generic/tclCmdAH.c index a53f1f7..13d3df5 100644 --- a/generic/tclCmdAH.c +++ b/generic/tclCmdAH.c @@ -12,6 +12,9 @@ */ #include "tclInt.h" +#ifdef _WIN32 +# include "tclWinInt.h" +#endif #include /* @@ -1600,21 +1603,13 @@ FileAttrIsOwnedCmd( Tcl_WrongNumArgs(interp, 1, objv, "name"); return TCL_ERROR; } - if (GetStatBuf(NULL, objv[1], Tcl_FSStat, &buf) == TCL_OK) { - /* - * For Windows, there are no user ids associated with a file, so we - * always return 1. - * - * TODO: use GetSecurityInfo to get the real owner of the file and - * test for equivalence to the current user. - */ - #if defined(_WIN32) || defined(__CYGWIN__) - value = 1; + value = TclWinFileOwned(objv[1]); #else + if (GetStatBuf(NULL, objv[1], Tcl_FSStat, &buf) == TCL_OK) { value = (geteuid() == buf.st_uid); -#endif } +#endif Tcl_SetObjResult(interp, Tcl_NewBooleanObj(value)); return TCL_OK; } diff --git a/tests/cmdAH.test b/tests/cmdAH.test index 6240500..c74bddb 100644 --- a/tests/cmdAH.test +++ b/tests/cmdAH.test @@ -1296,6 +1296,12 @@ test cmdAH-25.2.1 {Tcl_FileObjCmd: owned} -constraints unix -setup { test cmdAH-25.3 {Tcl_FileObjCmd: owned} {unix notRoot} { file owned / } 0 +test cmdAH-25.3.1 {Tcl_FileObjCmd: owned} -constraints win -body { + file owned $env(windir) +} -result 0 +test cmdAH-25.4 {Tcl_FileObjCmd: owned} -body { + file owned nosuchfile +} -result 0 # readlink test cmdAH-26.1 {Tcl_FileObjCmd: readlink} -returnCodes error -body { diff --git a/win/tclWinFile.c b/win/tclWinFile.c index 7f6dff9..3e8a171 100755 --- a/win/tclWinFile.c +++ b/win/tclWinFile.c @@ -16,8 +16,9 @@ #include "tclFileSystem.h" #include #include -#include /* For TclpGetUserHome(). */ +#include /* For TclpGetUserHome(). */ #include /* For TclpGetUserHome(). */ +#include /* For GetNamedSecurityInfo */ #ifdef _MSC_VER # pragma comment(lib, "userenv.lib") @@ -3134,6 +3135,69 @@ TclpUtime( } /* + *--------------------------------------------------------------------------- + * + * TclWinFileOwned -- + * + * Returns 1 if the specified file exists and is owned by the current + * user and 0 otherwise. Like the Unix case, the check is made using + * the real process SID, not the effective (impersonation) one. + * + *--------------------------------------------------------------------------- + */ + +int +TclWinFileOwned( + Tcl_Obj *pathPtr) /* File whose ownership is to be checked */ +{ + const TCHAR *native; + PSID ownerSid = NULL; + PSECURITY_DESCRIPTOR secd = NULL; + HANDLE token; + LPBYTE buf = NULL; + DWORD bufsz; + int owned = 0; + + native = Tcl_FSGetNativePath(pathPtr); + + if (GetNamedSecurityInfo(native, SE_FILE_OBJECT, + OWNER_SECURITY_INFORMATION, &ownerSid, + NULL, NULL, NULL, &secd) != ERROR_SUCCESS) { + /* Either not a file, or we do not have access to it in which + case we are in all likelihood not the owner */ + return 0; + } + + /* + * Getting the current process SID is a multi-step process. + * We make the assumption that if a call fails, this process is + * so underprivileged it could not possibly own anything. Normally + * a process can *always* look up its own token. + */ + if (OpenProcessToken(GetCurrentProcess(), TOKEN_QUERY, &token)) { + /* Find out how big the buffer needs to be */ + bufsz = 0; + GetTokenInformation(token, TokenUser, NULL, 0, &bufsz); + if (bufsz) { + buf = ckalloc(bufsz); + if (GetTokenInformation(token, TokenUser, buf, bufsz, &bufsz)) { + owned = EqualSid(ownerSid, ((PTOKEN_USER) buf)->User.Sid); + } + } + CloseHandle(token); + } + +vamoose: + /* Free allocations and be done */ + if (secd) + LocalFree(secd); /* Also frees ownerSid */ + if (buf) + ckfree(buf); + + return (owned != 0); /* Convert non-0 to 1 */ +} + +/* * Local Variables: * mode: c * c-basic-offset: 4 diff --git a/win/tclWinInt.h b/win/tclWinInt.h index 9df424f..6b098f8 100644 --- a/win/tclWinInt.h +++ b/win/tclWinInt.h @@ -72,6 +72,7 @@ MODULE_SCOPE int TclWinSymLinkCopyDirectory(const TCHAR *LinkOriginal, const TCHAR *LinkCopy); MODULE_SCOPE int TclWinSymLinkDelete(const TCHAR *LinkOriginal, int linkOnly); +MODULE_SCOPE int TclWinFileOwned(Tcl_Obj *); #if defined(TCL_THREADS) && defined(USE_THREAD_ALLOC) MODULE_SCOPE void TclWinFreeAllocCache(void); MODULE_SCOPE void TclFreeAllocCache(void *); -- cgit v0.12 From cc8c25008d6a30ceb0b4a6946e4a3d45431637c6 Mon Sep 17 00:00:00 2001 From: ashok Date: Sat, 9 Jul 2016 14:18:22 +0000 Subject: Bugfix [9ece99d58b]. Make exec understand .CMD files on Windows. --- tests/exec.test | 16 ++++++++++++++++ win/tclWinFile.c | 1 - win/tclWinPipe.c | 7 ++++--- 3 files changed, 20 insertions(+), 4 deletions(-) diff --git a/tests/exec.test b/tests/exec.test index 16a8320..38927d3 100644 --- a/tests/exec.test +++ b/tests/exec.test @@ -682,6 +682,22 @@ test exec-19.1 {exec >> uses O_APPEND} -constraints {exec unix} -setup { } -cleanup { removeFile $tmpfile } -result 14 + +# Tests to ensure batch files and .CMD (Bug 9ece99d58b) +# can be executed on Windows +test exec-20.0 {exec .bat file} -constraints {win} -body { + set log [makeFile {} exec20.log] + exec [makeFile "echo %1> $log" exec20.bat] "Testing exec-20.0" + viewFile $log +} -result "\"Testing exec-20.0\"" +test exec-20.1 {exec .CMD file} -constraints {win} -body { + set log [makeFile {} exec201.log] + exec [makeFile "echo %1> $log" exec201.CMD] "Testing exec-20.1" + viewFile $log +} -result "\"Testing exec-20.1\"" + + + # ---------------------------------------------------------------------- # cleanup diff --git a/win/tclWinFile.c b/win/tclWinFile.c index 3e8a171..dbfdfd0 100755 --- a/win/tclWinFile.c +++ b/win/tclWinFile.c @@ -1795,7 +1795,6 @@ NativeIsExec( if ((_tcsicmp(path+len-3, TEXT("exe")) == 0) || (_tcsicmp(path+len-3, TEXT("com")) == 0) || (_tcsicmp(path+len-3, TEXT("cmd")) == 0) - || (_tcsicmp(path+len-3, TEXT("ps1")) == 0) || (_tcsicmp(path+len-3, TEXT("bat")) == 0)) { return 1; } diff --git a/win/tclWinPipe.c b/win/tclWinPipe.c index aff8836..382addd 100644 --- a/win/tclWinPipe.c +++ b/win/tclWinPipe.c @@ -897,7 +897,7 @@ TclpGetPid( * * The complete Windows search path is searched to find the specified * executable. If an executable by the given name is not found, - * automatically tries appending ".com", ".exe", and ".bat" to the + * automatically tries appending standard extensions to the * executable name. * * Results: @@ -1292,7 +1292,7 @@ ApplicationType( Tcl_DString nameBuf, ds; const TCHAR *nativeName; TCHAR nativeFullPath[MAX_PATH]; - static const char extensions[][5] = {"", ".com", ".exe", ".bat"}; + static const char extensions[][5] = {"", ".com", ".exe", ".bat", ".cmd"}; /* * Look for the program as an external program. First try the name as it @@ -1337,7 +1337,8 @@ ApplicationType( Tcl_DStringFree(&ds); ext = strrchr(fullName, '.'); - if ((ext != NULL) && (strcasecmp(ext, ".bat") == 0)) { + if ((ext != NULL) && + (strcasecmp(ext, ".cmd") == 0 || strcasecmp(ext, ".bat") == 0)) { applType = APPL_DOS; break; } -- cgit v0.12 From 6b01fdf5d1344c640a5392e14bcdd7518758bbed Mon Sep 17 00:00:00 2001 From: ashok Date: Sat, 9 Jul 2016 14:23:24 +0000 Subject: Fixed docs for prior check-in (exec of .CMD files on Windows) --- doc/exec.n | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/doc/exec.n b/doc/exec.n index 9d58d90..70ace32 100644 --- a/doc/exec.n +++ b/doc/exec.n @@ -271,8 +271,9 @@ limitation as \fBexec\fR wants to communicate over pipes. The Expect extension addresses this issue when communicating with a TUI application. .PP When attempting to execute an application, \fBexec\fR first searches for -the name as it was specified. Then, in order, \fB.com\fR, \fB.exe\fR, and -\fB.bat\fR are appended to the end of the specified name and it searches +the name as it was specified. Then, in order, +\fB.com\fR, \fB.exe\fR, \fB.bat\fR and \fB.cmd\fR +are appended to the end of the specified name and it searches for the longer name. If a directory name was not specified as part of the application name, the following directories are automatically searched in order when attempting to locate the application: -- cgit v0.12 From 9130b29ef9ede2cafefe32403248930ba6f94dee Mon Sep 17 00:00:00 2001 From: dgp Date: Sat, 9 Jul 2016 14:26:56 +0000 Subject: Revise INST_INVOKE_REPLACE to call EvalObjv with TCL_EVAL_INVOKE and no longer call EvalObjEx which does not support it reliably. Also convert to conventional list operations. --- generic/tclExecute.c | 29 ++++++++++++++--------------- 1 file changed, 14 insertions(+), 15 deletions(-) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 8ddefda..52865e6 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -3153,20 +3153,7 @@ TEBCresume( fflush(stdout); } #endif /*TCL_COMPILE_DEBUG*/ - { - Tcl_Obj *copyPtr = Tcl_NewListObj(objc - opnd + 1, NULL); - register List *listRepPtr = copyPtr->internalRep.twoPtrValue.ptr1; - Tcl_Obj **copyObjv = &listRepPtr->elements; - int i; - listRepPtr->elemCount = objc - opnd + 1; - copyObjv[0] = objPtr; - memcpy(copyObjv+1, objv+opnd, sizeof(Tcl_Obj *) * (objc - opnd)); - for (i=1 ; idata.tebc.pc = (char *) pc; iPtr->cmdFramePtr = bcFramePtr; if (iPtr->flags & INTERP_DEBUG_FRAME) { @@ -3174,13 +3161,25 @@ TEBCresume( } TclInitRewriteEnsemble(interp, opnd, 1, objv); + + { + Tcl_Obj *copyPtr = Tcl_NewListObj(objc - opnd + 1, NULL); + + Tcl_ListObjAppendElement(NULL, copyPtr, objPtr); + Tcl_ListObjReplace(NULL, copyPtr, LIST_MAX, 0, + objc - opnd, objv + opnd); + objPtr = copyPtr; + } + DECACHE_STACK_INFO(); pc += 6; TEBC_YIELD(); TclMarkTailcall(interp); - TclNRAddCallback(interp, TclClearRootEnsemble, NULL,NULL,NULL,NULL); - return TclNREvalObjEx(interp, objPtr, TCL_EVAL_INVOKE, NULL, INT_MIN); + TclNRAddCallback(interp, TclClearRootEnsemble, NULL, NULL, NULL, NULL); + Tcl_ListObjGetElements(NULL, objPtr, &objc, &objv); + TclNRAddCallback(interp, TclNRReleaseValues, objPtr, NULL, NULL, NULL); + return TclNREvalObjv(interp, objc, objv, TCL_EVAL_INVOKE, NULL); /* * ----------------------------------------------------------------- -- cgit v0.12 From 39488ce3ef11fcbac48bd3c7e35b3ba3fb80c2de Mon Sep 17 00:00:00 2001 From: ashok Date: Sat, 9 Jul 2016 14:30:54 +0000 Subject: Fix missing constraints for Windows-specific tests --- tests/cmdAH.test | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/tests/cmdAH.test b/tests/cmdAH.test index c74bddb..ef933cb 100644 --- a/tests/cmdAH.test +++ b/tests/cmdAH.test @@ -1433,13 +1433,13 @@ test cmdAH-28.12 {Tcl_FileObjCmd: stat} -setup { } -cleanup { removeFile $filename } -result 1 -test cmdAH-28.13 {Tcl_FileObjCmd: stat (built-in Windows names)} -setup { +test cmdAH-28.13 {Tcl_FileObjCmd: stat (built-in Windows names)} -constraints {win} -setup { unset -nocomplain stat } -body { file stat con stat lmap elem {atime ctime dev gid ino mode mtime nlink size type uid} {set stat($elem)} } -result {0 0 -1 0 0 8630 0 0 0 characterSpecial 0} -test cmdAH-28.13.1 {Tcl_FileObjCmd: stat (built-in Windows names)} -setup { +test cmdAH-28.13.1 {Tcl_FileObjCmd: stat (built-in Windows names)} -constraints {win} -setup { unset -nocomplain stat } -body { file stat [file join [temporaryDirectory] CON.txt] stat -- cgit v0.12 From 1a4a8552102094aeb6294acf74d78623df4206d3 Mon Sep 17 00:00:00 2001 From: ashok Date: Sun, 10 Jul 2016 06:33:20 +0000 Subject: Fix compiler warnings (const-ness and unused label) that did not show up in the non-optimized build before last checkin. --- win/tclWinFile.c | 3 +-- 1 file changed, 1 insertion(+), 2 deletions(-) diff --git a/win/tclWinFile.c b/win/tclWinFile.c index dbfdfd0..4d7500b 100755 --- a/win/tclWinFile.c +++ b/win/tclWinFile.c @@ -3159,7 +3159,7 @@ TclWinFileOwned( native = Tcl_FSGetNativePath(pathPtr); - if (GetNamedSecurityInfo(native, SE_FILE_OBJECT, + if (GetNamedSecurityInfo((LPTSTR) native, SE_FILE_OBJECT, OWNER_SECURITY_INFORMATION, &ownerSid, NULL, NULL, NULL, &secd) != ERROR_SUCCESS) { /* Either not a file, or we do not have access to it in which @@ -3186,7 +3186,6 @@ TclWinFileOwned( CloseHandle(token); } -vamoose: /* Free allocations and be done */ if (secd) LocalFree(secd); /* Also frees ownerSid */ -- cgit v0.12 From 2d2ec051cf1bccebd8ceacb06ffb7ea6f332c72c Mon Sep 17 00:00:00 2001 From: ashok Date: Sun, 10 Jul 2016 06:41:54 +0000 Subject: Bugfix [da340d4f32]. clock-55.9 and clock-55.10 test failures. --- generic/tclClock.c | 12 ++++++++++++ 1 file changed, 12 insertions(+) diff --git a/generic/tclClock.c b/generic/tclClock.c index 949cb1c..c3b29e9 100644 --- a/generic/tclClock.c +++ b/generic/tclClock.c @@ -1499,7 +1499,19 @@ GetJulianDayFromEraYearMonthDay( * Try an initial conversion in the Gregorian calendar. */ +#if 0 /* BUG http://core.tcl.tk/tcl/tktview?name=da340d4f32 */ ym1o4 = ym1 / 4; +#else + /* + * Have to make sure quotient is truncated towards 0 when negative. + * See above bug for details. The casts are necessary. + */ + if (ym1 >= 0) + ym1o4 = ym1 / 4; + else { + ym1o4 = - (int) (((unsigned int) -ym1) / 4); + } +#endif if (ym1 % 4 < 0) { ym1o4--; } -- cgit v0.12 From 3503e831432d62edd78f63cb90a322d3ad51d6a3 Mon Sep 17 00:00:00 2001 From: dkf Date: Sun, 10 Jul 2016 07:59:52 +0000 Subject: Fixes to namespace.test --- tests/namespace.test | 418 +++++++++++++++++++++++++++++++++++++-------------- 1 file changed, 306 insertions(+), 112 deletions(-) diff --git a/tests/namespace.test b/tests/namespace.test index dc1d3bf..575695f 100644 --- a/tests/namespace.test +++ b/tests/namespace.test @@ -82,12 +82,14 @@ test namespace-4.2 {Tcl_PushCallFrame with isProcCallFrame=0} { test namespace-5.1 {Tcl_PopCallFrame, no vars} { namespace eval test_ns_1::blodge {} ;# pushes then pops frame } {} -test namespace-5.2 {Tcl_PopCallFrame, local vars must be deleted} { +test namespace-5.2 {Tcl_PopCallFrame, local vars must be deleted} -setup { + namespace eval test_ns_1 {} +} -body { proc test_ns_1::r {} { set a 123 } test_ns_1::r ;# pushes then pop's r's frame -} {123} +} -result {123} test namespace-6.1 {Tcl_CreateNamespace} { catch {namespace delete {*}[namespace children :: test_ns_*]} @@ -194,7 +196,6 @@ test namespace-7.7 {Bug 1655305} -setup { interp delete slave } -result {} - test namespace-8.1 {TclTeardownNamespace, delete global namespace} { catch {interp delete test_interp} interp create test_interp @@ -303,15 +304,24 @@ test namespace-9.4 {Tcl_Import, simple import} { } test_ns_import::p } {cmd1: 123} -test namespace-9.5 {Tcl_Import, RFE 1230597} { +test namespace-9.5 {Tcl_Import, RFE 1230597} -setup { + namespace eval test_ns_import {} + namespace eval test_ns_export {} +} -body { list [catch {namespace eval test_ns_import {namespace import ::test_ns_export::*}} msg] $msg -} {0 {}} -test namespace-9.6 {Tcl_Import, cmd redefinition ok if allowOverwrite!=0} { +} -result {0 {}} +test namespace-9.6 {Tcl_Import, cmd redefinition ok if allowOverwrite!=0} -setup { + namespace eval test_ns_import {} + namespace eval ::test_ns_export { + proc cmd1 {args} {return "cmd1: $args"} + namespace export cmd1 + } +} -body { namespace eval test_ns_import { namespace import -force ::test_ns_export::* cmd1 555 } -} {cmd1: 555} +} -result {cmd1: 555} test namespace-9.7 {Tcl_Import, links are preserved if cmd is redefined} { catch {namespace delete {*}[namespace children :: test_ns_*]} namespace eval test_ns_export { @@ -329,7 +339,6 @@ test namespace-9.7 {Tcl_Import, links are preserved if cmd is redefined} { [test_ns_import::cmd1 g h i] \ [test_ns_export::cmd1 j k l] } {{cmd1: a b c} {cmd1: d e f} {} ::test_ns_export::cmd1 ::test_ns_export::cmd1 {new1: g h i} {new1: j k l}} - test namespace-9.8 {Tcl_Import: Bug 1017299} -setup { namespace eval one { namespace export cmd @@ -354,7 +363,6 @@ test namespace-9.8 {Tcl_Import: Bug 1017299} -setup { } -cleanup { namespace delete one two three } -match glob -result *::one::cmd - test namespace-9.9 {Tcl_Import: Bug 1017299} -setup { namespace eval one { namespace export cmd @@ -388,7 +396,13 @@ test namespace-10.2 {Tcl_ForgetImport, ignores patterns that don't match} { namespace forget ::test_ns_export::wombat } } {} -test namespace-10.3 {Tcl_ForgetImport, deletes matching imported cmds} { +test namespace-10.3 {Tcl_ForgetImport, deletes matching imported cmds} -setup { + namespace eval test_ns_export { + namespace export cmd1 + proc cmd1 {args} {return "cmd1: $args"} + proc cmd2 {args} {return "cmd2: $args"} + } +} -body { namespace eval test_ns_import { namespace import ::test_ns_export::* proc p {} {return [cmd1 123]} @@ -398,8 +412,7 @@ test namespace-10.3 {Tcl_ForgetImport, deletes matching imported cmds} { lappend l [info commands ::test_ns_import::*] lappend l [catch {cmd1 777} msg] $msg } -} [list [lsort {::test_ns_import::p ::test_ns_import::cmd1}] ::test_ns_import::p 1 {invalid command name "cmd1"}] - +} -result [list [lsort {::test_ns_import::p ::test_ns_import::cmd1}] ::test_ns_import::p 1 {invalid command name "cmd1"}] test namespace-10.4 {Tcl_ForgetImport: Bug 560297} -setup { namespace eval origin { namespace export cmd @@ -417,7 +430,6 @@ test namespace-10.4 {Tcl_ForgetImport: Bug 560297} -setup { } -cleanup { namespace delete origin unrelated my } - test namespace-10.5 {Tcl_ForgetImport: Bug 560297} -setup { namespace eval origin { namespace export cmd @@ -433,7 +445,6 @@ test namespace-10.5 {Tcl_ForgetImport: Bug 560297} -setup { } -cleanup { namespace delete origin my } -returnCodes error -match glob -result * - test namespace-10.6 {Tcl_ForgetImport: Bug 560297} -setup { namespace eval origin { namespace export cmd @@ -450,7 +461,6 @@ test namespace-10.6 {Tcl_ForgetImport: Bug 560297} -setup { } -cleanup { namespace delete origin my your } -returnCodes error -match glob -result * - test namespace-10.7 {Tcl_ForgetImport: Bug 560297} -setup { namespace eval origin { namespace export cmd @@ -471,7 +481,6 @@ test namespace-10.7 {Tcl_ForgetImport: Bug 560297} -setup { } -cleanup { namespace delete origin link link2 my } -returnCodes error -match glob -result * - test namespace-10.8 {Tcl_ForgetImport: Bug 560297} -setup { namespace eval origin { namespace export cmd @@ -492,7 +501,6 @@ test namespace-10.8 {Tcl_ForgetImport: Bug 560297} -setup { } -cleanup { namespace delete origin link link2 my } - test namespace-10.9 {Tcl_ForgetImport: Bug 560297} -setup { namespace eval origin { namespace export cmd @@ -514,29 +522,47 @@ test namespace-10.9 {Tcl_ForgetImport: Bug 560297} -setup { namespace delete origin link link2 my } -returnCodes error -match glob -result * -test namespace-11.1 {TclGetOriginalCommand, check if not imported cmd} { +test namespace-11.1 {TclGetOriginalCommand, check if not imported cmd} -setup { catch {namespace delete {*}[namespace children :: test_ns_*]} +} -body { namespace eval test_ns_export { namespace export cmd1 proc cmd1 {args} {return "cmd1: $args"} } list [namespace origin set] [namespace origin test_ns_export::cmd1] -} {::set ::test_ns_export::cmd1} -test namespace-11.2 {TclGetOriginalCommand, directly imported cmd} { +} -result {::set ::test_ns_export::cmd1} +test namespace-11.2 {TclGetOriginalCommand, directly imported cmd} -setup { + catch {namespace delete {*}[namespace children :: test_ns_*]} + namespace eval test_ns_export { + namespace export cmd1 + proc cmd1 {args} {return "cmd1: $args"} + } +} -body { namespace eval test_ns_import1 { namespace import ::test_ns_export::* namespace export * proc p {} {namespace origin cmd1} } list [test_ns_import1::p] [namespace origin test_ns_import1::cmd1] -} {::test_ns_export::cmd1 ::test_ns_export::cmd1} -test namespace-11.3 {TclGetOriginalCommand, indirectly imported cmd} { +} -result {::test_ns_export::cmd1 ::test_ns_export::cmd1} +test namespace-11.3 {TclGetOriginalCommand, indirectly imported cmd} -setup { + catch {namespace delete {*}[namespace children :: test_ns_*]} + namespace eval test_ns_export { + namespace export cmd1 + proc cmd1 {args} {return "cmd1: $args"} + } + namespace eval test_ns_import1 { + namespace import ::test_ns_export::* + namespace export * + proc p {} {namespace origin cmd1} + } +} -body { namespace eval test_ns_import2 { namespace import ::test_ns_import1::* proc q {} {return [cmd1 123]} } list [test_ns_import2::q] [namespace origin test_ns_import2::cmd1] -} {{cmd1: 123} ::test_ns_export::cmd1} +} -result {{cmd1: 123} ::test_ns_export::cmd1} test namespace-12.1 {InvokeImportedCmd} { catch {namespace delete {*}[namespace children :: test_ns_*]} @@ -550,14 +576,23 @@ test namespace-12.1 {InvokeImportedCmd} { list [test_ns_import::cmd1] } {::test_ns_export} -test namespace-13.1 {DeleteImportedCmd, deletes imported cmds} { +test namespace-13.1 {DeleteImportedCmd, deletes imported cmds} -setup { + catch {namespace delete {*}[namespace children :: test_ns_*]} + namespace eval test_ns_export { + namespace export cmd1 + proc cmd1 {args} {namespace current} + } + namespace eval test_ns_import { + namespace import ::test_ns_export::* + } +} -body { namespace eval test_ns_import { set l {} lappend l [info commands ::test_ns_import::*] namespace forget ::test_ns_export::cmd1 lappend l [info commands ::test_ns_import::*] } -} {::test_ns_import::cmd1 {}} +} -result {::test_ns_import::cmd1 {}} test namespace-13.2 {DeleteImportedCmd, Bug a4494e28ed} { # Will panic if still buggy namespace eval src {namespace export foo; proc foo {} {}} @@ -568,7 +603,7 @@ test namespace-13.2 {DeleteImportedCmd, Bug a4494e28ed} { namespace delete src } {} -test namespace-14.1 {TclGetNamespaceForQualName, absolute names} { +test namespace-14.1 {TclGetNamespaceForQualName, absolute names} -setup { catch {namespace delete {*}[namespace children :: test_ns_*]} variable v 10 namespace eval test_ns_1::test_ns_2 { @@ -577,22 +612,41 @@ test namespace-14.1 {TclGetNamespaceForQualName, absolute names} { namespace eval test_ns_2 { variable v 30 } +} -body { namespace eval test_ns_1 { list $::v $::test_ns_2::v $::test_ns_1::test_ns_2::v \ [lsort [namespace children :: test_ns_*]] } -} [list 10 30 20 [lsort {::test_ns_1 ::test_ns_2}]] -test namespace-14.2 {TclGetNamespaceForQualName, invalid absolute names} { +} -result [list 10 30 20 [lsort {::test_ns_1 ::test_ns_2}]] +test namespace-14.2 {TclGetNamespaceForQualName, invalid absolute names} -setup { + catch {namespace delete {*}[namespace children :: test_ns_*]} + variable v 10 + namespace eval test_ns_1::test_ns_2 { + variable v 20 + } + namespace eval test_ns_2 { + variable v 30 + } +} -body { namespace eval test_ns_1 { list [catch {set ::test_ns_777::v} msg] $msg \ [catch {namespace children test_ns_777} msg] $msg } -} {1 {can't read "::test_ns_777::v": no such variable} 1 {namespace "test_ns_777" not found in "::test_ns_1"}} -test namespace-14.3 {TclGetNamespaceForQualName, relative names} { +} -result {1 {can't read "::test_ns_777::v": no such variable} 1 {namespace "test_ns_777" not found in "::test_ns_1"}} +test namespace-14.3 {TclGetNamespaceForQualName, relative names} -setup { + catch {namespace delete {*}[namespace children :: test_ns_*]} + variable v 10 + namespace eval test_ns_1::test_ns_2 { + variable v 20 + } + namespace eval test_ns_2 { + variable v 30 + } +} -body { namespace eval test_ns_1 { list $v $test_ns_2::v } -} {10 20} +} -result {10 20} test namespace-14.4 {TclGetNamespaceForQualName, relative ns names looked up only in current ns} { namespace eval test_ns_1::test_ns_2 { namespace eval foo {} @@ -619,57 +673,72 @@ test namespace-14.6 {TclGetNamespaceForQualName, relative ns names looked up onl [catch {namespace children test_ns_1} msg] $msg } } {::test_ns_1::test_ns_2::foo 1 {namespace "test_ns_1" not found in "::test_ns_1"}} -test namespace-14.7 {TclGetNamespaceForQualName, ignore extra :s if ns} { +test namespace-14.7 {TclGetNamespaceForQualName, ignore extra :s if ns} -setup { + namespace eval test_ns_1::test_ns_2::foo {} +} -body { namespace children test_ns_1::: -} {::test_ns_1::test_ns_2} -test namespace-14.8 {TclGetNamespaceForQualName, ignore extra :s if ns} { +} -result {::test_ns_1::test_ns_2} +test namespace-14.8 {TclGetNamespaceForQualName, ignore extra :s if ns} -setup { + namespace eval test_ns_1::test_ns_2::foo {} +} -body { namespace children :::test_ns_1:::::test_ns_2::: -} {::test_ns_1::test_ns_2::foo} +} -result {::test_ns_1::test_ns_2::foo} test namespace-14.9 {TclGetNamespaceForQualName, extra ::s are significant for vars} { set l {} lappend l [catch {set test_ns_1::test_ns_2::} msg] $msg namespace eval test_ns_1::test_ns_2 {variable {} 2525} lappend l [set test_ns_1::test_ns_2::] } {1 {can't read "test_ns_1::test_ns_2::": no such variable} 2525} -test namespace-14.10 {TclGetNamespaceForQualName, extra ::s are significant for vars} { - catch {unset test_ns_1::test_ns_2::} +test namespace-14.10 {TclGetNamespaceForQualName, extra ::s are significant for vars} -setup { + namespace eval test_ns_1::test_ns_2::foo {} + unset -nocomplain test_ns_1::test_ns_2:: set l {} +} -body { lappend l [catch {set test_ns_1::test_ns_2::} msg] $msg set test_ns_1::test_ns_2:: 314159 lappend l [set test_ns_1::test_ns_2::] -} {1 {can't read "test_ns_1::test_ns_2::": no such variable} 314159} -test namespace-14.11 {TclGetNamespaceForQualName, extra ::s are significant for commands} { +} -result {1 {can't read "test_ns_1::test_ns_2::": no such variable} 314159} +test namespace-14.11 {TclGetNamespaceForQualName, extra ::s are significant for commands} -setup { + namespace eval test_ns_1::test_ns_2::foo {} catch {rename test_ns_1::test_ns_2:: {}} set l {} +} -body { lappend l [catch {test_ns_1::test_ns_2:: hello} msg] $msg proc test_ns_1::test_ns_2:: {args} {return "\{\}: $args"} lappend l [test_ns_1::test_ns_2:: hello] -} {1 {invalid command name "test_ns_1::test_ns_2::"} {{}: hello}} -test namespace-14.12 {TclGetNamespaceForQualName, extra ::s are significant for vars} { +} -result {1 {invalid command name "test_ns_1::test_ns_2::"} {{}: hello}} +test namespace-14.12 {TclGetNamespaceForQualName, extra ::s are significant for vars} -setup { catch {namespace delete {*}[namespace children :: test_ns_*]} +} -body { namespace eval test_ns_1 { variable {} set test_ns_1::(x) y } set test_ns_1::(x) -} y -test namespace-14.13 {TclGetNamespaceForQualName, namespace other than global ns can't have empty name} { +} -result y +test namespace-14.13 {TclGetNamespaceForQualName, namespace other than global ns can't have empty name} -setup { catch {namespace delete {*}[namespace children :: test_ns_*]} - list [catch {namespace eval test_ns_1 {proc {} {} {}; namespace eval {} {}; {}}} msg] $msg -} {1 {can't create namespace "": only global namespace can have empty name}} +} -returnCodes error -body { + namespace eval test_ns_1 { + proc {} {} {} + namespace eval {} {} + {} + } +} -result {can't create namespace "": only global namespace can have empty name} -test namespace-15.1 {Tcl_FindNamespace, absolute name found} { +test namespace-15.1 {Tcl_FindNamespace, absolute name found} -setup { catch {namespace delete {*}[namespace children :: test_ns_*]} +} -body { namespace eval test_ns_delete { namespace eval test_ns_delete2 {} proc cmd {args} {namespace current} } list [namespace delete ::test_ns_delete::test_ns_delete2] \ [namespace children ::test_ns_delete] -} {{} {}} -test namespace-15.2 {Tcl_FindNamespace, absolute name not found} { - list [catch {namespace delete ::test_ns_delete::test_ns_delete2} msg] $msg -} {1 {unknown namespace "::test_ns_delete::test_ns_delete2" in namespace delete command}} +} -result {{} {}} +test namespace-15.2 {Tcl_FindNamespace, absolute name not found} -body { + namespace delete ::test_ns_delete::test_ns_delete2 +} -returnCodes error -result {unknown namespace "::test_ns_delete::test_ns_delete2" in namespace delete command} test namespace-15.3 {Tcl_FindNamespace, relative name found} { namespace eval test_ns_delete { namespace eval test_ns_delete2 {} @@ -685,17 +754,24 @@ test namespace-15.4 {Tcl_FindNamespace, relative name not found} { } } {1 {unknown namespace "test_ns_delete2" in namespace delete command}} -test namespace-16.1 {Tcl_FindCommand, absolute name found} { +test namespace-16.1 {Tcl_FindCommand, absolute name found} -setup { catch {namespace delete {*}[namespace children :: test_ns_*]} +} -body { namespace eval test_ns_1 { proc cmd {args} {return "[namespace current]::cmd: $args"} variable v "::test_ns_1::cmd" eval $v one } -} {::test_ns_1::cmd: one} -test namespace-16.2 {Tcl_FindCommand, absolute name found} { +} -result {::test_ns_1::cmd: one} +test namespace-16.2 {Tcl_FindCommand, absolute name found} -setup { + catch {namespace delete {*}[namespace children :: test_ns_*]} + namespace eval test_ns_1 { + proc cmd {args} {return "[namespace current]::cmd: $args"} + variable v "::test_ns_1::cmd" + } +} -body { eval $test_ns_1::v two -} {::test_ns_1::cmd: two} +} -result {::test_ns_1::cmd: two} test namespace-16.3 {Tcl_FindCommand, absolute name not found} { namespace eval test_ns_1 { variable v2 "::test_ns_1::ladidah" @@ -724,11 +800,16 @@ test namespace-16.7 {Tcl_FindCommand, relative name and TCL_GLOBAL_ONLY} { catch {rename unknown {}} catch {rename unknown.old unknown} -test namespace-16.8 {Tcl_FindCommand, relative name found} { +test namespace-16.8 {Tcl_FindCommand, relative name found} -setup { + catch {namespace delete {*}[namespace children :: test_ns_*]} + namespace eval test_ns_1 { + proc cmd {args} {return "[namespace current]::cmd: $args"} + } +} -body { namespace eval test_ns_1 { cmd a b c } -} {::test_ns_1::cmd: a b c} +} -result {::test_ns_1::cmd: a b c} test namespace-16.9 {Tcl_FindCommand, relative name found} -body { proc cmd2 {args} {return "[namespace current]::cmd2: $args"} namespace eval test_ns_1 { @@ -750,20 +831,21 @@ test namespace-16.10 {Tcl_FindCommand, relative name found, only look in current } -cleanup { catch {rename cmd2 {}} } -result {::::cmd2: a b c} -test namespace-16.11 {Tcl_FindCommand, relative name not found} { +test namespace-16.11 {Tcl_FindCommand, relative name not found} -body { namespace eval test_ns_1 { - list [catch {cmd3 a b c} msg] $msg + cmd3 a b c } -} {1 {invalid command name "cmd3"}} +} -returnCodes error -result {invalid command name "cmd3"} -catch {unset x} -test namespace-17.1 {Tcl_FindNamespaceVar, absolute name found} { +unset -nocomplain x +test namespace-17.1 {Tcl_FindNamespaceVar, absolute name found} -setup { catch {namespace delete {*}[namespace children :: test_ns_*]} +} -body { set x 314159 namespace eval test_ns_1 { set ::x } -} {314159} +} -result {314159} test namespace-17.2 {Tcl_FindNamespaceVar, absolute name found} { namespace eval test_ns_1 { variable x 777 @@ -778,27 +860,33 @@ test namespace-17.3 {Tcl_FindNamespaceVar, absolute name found} { set ::test_ns_1::test_ns_2::x } } {1111} -test namespace-17.4 {Tcl_FindNamespaceVar, absolute name not found} { +test namespace-17.4 {Tcl_FindNamespaceVar, absolute name not found} -body { namespace eval test_ns_1 { namespace eval test_ns_2 { variable x 1111 } - list [catch {set ::test_ns_1::test_ns_2::y} msg] $msg + set ::test_ns_1::test_ns_2::y } -} {1 {can't read "::test_ns_1::test_ns_2::y": no such variable}} -test namespace-17.5 {Tcl_FindNamespaceVar, absolute name and TCL_GLOBAL_ONLY} { +} -returnCodes error -result {can't read "::test_ns_1::test_ns_2::y": no such variable} +test namespace-17.5 {Tcl_FindNamespaceVar, absolute name and TCL_GLOBAL_ONLY} -setup { + namespace eval ::test_ns_1::test_ns_2 {} +} -body { namespace eval test_ns_1 { namespace eval test_ns_3 { variable ::test_ns_1::test_ns_2::x 2222 } } set ::test_ns_1::test_ns_2::x -} {2222} -test namespace-17.6 {Tcl_FindNamespaceVar, relative name found} { +} -result {2222} +test namespace-17.6 {Tcl_FindNamespaceVar, relative name found} -setup { + namespace eval test_ns_1 { + variable x 777 + } +} -body { namespace eval test_ns_1 { set x } -} {777} +} -result {777} test namespace-17.7 {Tcl_FindNamespaceVar, relative name found} { namespace eval test_ns_1 { unset x @@ -834,8 +922,9 @@ catch {unset x} catch {unset l} catch {rename foo {}} -test namespace-18.1 {TclResetShadowedCmdRefs, one-level check for command shadowing} { +test namespace-18.1 {TclResetShadowedCmdRefs, one-level check for command shadowing} -setup { catch {namespace delete {*}[namespace children :: test_ns_*]} +} -body { proc foo {} {return "global foo"} namespace eval test_ns_1 { proc trigger {} { @@ -849,7 +938,7 @@ test namespace-18.1 {TclResetShadowedCmdRefs, one-level check for command shadow proc foo {} {return "foo in test_ns_1"} } lappend l [test_ns_1::trigger] -} {{global foo} {foo in test_ns_1}} +} -result {{global foo} {foo in test_ns_1}} test namespace-18.2 {TclResetShadowedCmdRefs, multilevel check for command shadowing} { namespace eval test_ns_2 { proc foo {} {return "foo in ::test_ns_2"} @@ -873,22 +962,31 @@ test namespace-18.2 {TclResetShadowedCmdRefs, multilevel check for command shado catch {unset l} catch {rename foo {}} -test namespace-19.1 {GetNamespaceFromObj, global name found} { +test namespace-19.1 {GetNamespaceFromObj, global name found} -setup { catch {namespace delete {*}[namespace children :: test_ns_*]} +} -body { namespace eval test_ns_1::test_ns_2 {} namespace children ::test_ns_1 -} {::test_ns_1::test_ns_2} -test namespace-19.2 {GetNamespaceFromObj, relative name found} { +} -result {::test_ns_1::test_ns_2} +test namespace-19.2 {GetNamespaceFromObj, relative name found} -setup { + catch {namespace delete {*}[namespace children :: test_ns_*]} + namespace eval test_ns_1::test_ns_2 {} +} -body { namespace eval test_ns_1 { namespace children test_ns_2 } -} {} -test namespace-19.3 {GetNamespaceFromObj, name not found} -body { +} -result {} +test namespace-19.3 {GetNamespaceFromObj, name not found} -setup { + catch {namespace delete {*}[namespace children :: test_ns_*]} +} -body { namespace eval test_ns_1 { namespace children test_ns_99 } } -returnCodes error -result {namespace "test_ns_99" not found in "::test_ns_1"} -test namespace-19.4 {GetNamespaceFromObj, invalidation of cached ns refs} { +test namespace-19.4 {GetNamespaceFromObj, invalidation of cached ns refs} -setup { + catch {namespace delete {*}[namespace children :: test_ns_*]} + namespace eval test_ns_1::test_ns_2 {} +} -body { namespace eval test_ns_1 { proc foo {} { return [namespace children test_ns_2] @@ -900,7 +998,7 @@ test namespace-19.4 {GetNamespaceFromObj, invalidation of cached ns refs} { namespace delete test_ns_1::test_ns_2 namespace eval test_ns_1::test_ns_2::test_ns_3 {} lappend l [test_ns_1::foo] -} {{} ::test_ns_1::test_ns_2::test_ns_3} +} -result {{} ::test_ns_1::test_ns_2::test_ns_3} test namespace-20.1 {Tcl_NamespaceObjCmd, bad subcommand} { catch {namespace delete {*}[namespace children :: test_ns_*]} @@ -913,24 +1011,34 @@ test namespace-20.3 {Tcl_NamespaceObjCmd, abbreviations are okay} { namespace ch :: test_ns_* } {} -test namespace-21.1 {NamespaceChildrenCmd, no args} { +test namespace-21.1 {NamespaceChildrenCmd, no args} -setup { + catch {namespace delete {*}[namespace children :: test_ns_*]} +} -body { + namespace eval test_ns_1::test_ns_2 {} + expr {"::test_ns_1" in [namespace children]} +} -result {1} +test namespace-21.2 {NamespaceChildrenCmd, no args} -setup { catch {namespace delete {*}[namespace children :: test_ns_*]} namespace eval test_ns_1::test_ns_2 {} - expr {[string first ::test_ns_1 [namespace children]] != -1} -} {1} -test namespace-21.2 {NamespaceChildrenCmd, no args} { +} -body { namespace eval test_ns_1 { namespace children } -} {::test_ns_1::test_ns_2} -test namespace-21.3 {NamespaceChildrenCmd, ns name given} { +} -result {::test_ns_1::test_ns_2} +test namespace-21.3 {NamespaceChildrenCmd, ns name given} -setup { + catch {namespace delete {*}[namespace children :: test_ns_*]} + namespace eval test_ns_1::test_ns_2 {} +} -body { namespace children ::test_ns_1 -} {::test_ns_1::test_ns_2} -test namespace-21.4 {NamespaceChildrenCmd, ns name given} { +} -result {::test_ns_1::test_ns_2} +test namespace-21.4 {NamespaceChildrenCmd, ns name given} -setup { + catch {namespace delete {*}[namespace children :: test_ns_*]} + namespace eval test_ns_1::test_ns_2 {} +} -body { namespace eval test_ns_1 { namespace children test_ns_2 } -} {} +} -result {} test namespace-21.5 {NamespaceChildrenCmd, too many args} { namespace eval test_ns_1 { list [catch {namespace children test_ns_2 xxx yyy} msg] $msg @@ -940,10 +1048,13 @@ test namespace-21.6 {NamespaceChildrenCmd, glob-style pattern given} { namespace eval test_ns_1::test_ns_foo {} namespace children test_ns_1 *f* } {::test_ns_1::test_ns_foo} -test namespace-21.7 {NamespaceChildrenCmd, glob-style pattern given} { +test namespace-21.7 {NamespaceChildrenCmd, glob-style pattern given} -setup { + catch {namespace delete {*}[namespace children :: test_ns_*]} + namespace eval test_ns_1::test_ns_2 {} +} -body { namespace eval test_ns_1::test_ns_foo {} lsort [namespace children test_ns_1 test*] -} [lsort {::test_ns_1::test_ns_2 ::test_ns_1::test_ns_foo}] +} -result {::test_ns_1::test_ns_2 ::test_ns_1::test_ns_foo} test namespace-21.8 {NamespaceChildrenCmd, trivial pattern starting with ::} { namespace eval test_ns_1 {} namespace children [namespace current] [fq test_ns_1] @@ -1038,15 +1149,25 @@ test namespace-25.3 {NamespaceEvalCmd, new namespace} { } test_ns_1::p } {314159} -test namespace-25.4 {NamespaceEvalCmd, existing namespace} { +test namespace-25.4 {NamespaceEvalCmd, existing namespace} -setup { + namespace eval test_ns_1 { + variable v 314159 + proc p {} { + variable v + return $v + } + } +} -body { namespace eval test_ns_1 { proc q {} {return [expr {[p]+1}]} } test_ns_1::q -} {314160} -test namespace-25.5 {NamespaceEvalCmd, multiple args} { +} -result {314160} +test namespace-25.5 {NamespaceEvalCmd, multiple args} -setup { + namespace eval test_ns_1 {variable v 314159} +} -body { namespace eval test_ns_1 "set" "v" -} {314159} +} -result {314159} test namespace-25.6 {NamespaceEvalCmd, error in eval'd script} { list [catch {namespace eval test_ns_1 {xxxx}} msg] $msg $::errorInfo } {1 {invalid command name "xxxx"} {invalid command name "xxxx" @@ -1097,21 +1218,50 @@ test namespace-26.4 {NamespaceExportCmd, one pattern} { } list [info commands test_ns_2::*] [test_ns_2::cmd1 hello] } {::test_ns_2::cmd1 {cmd1: hello}} -test namespace-26.5 {NamespaceExportCmd, sequence of patterns, patterns accumulate} { +test namespace-26.5 {NamespaceExportCmd, sequence of patterns, patterns accumulate} -setup { + catch {namespace delete {*}[namespace children test_ns_*]} namespace eval test_ns_1 { + proc cmd1 {args} {return "cmd1: $args"} + proc cmd2 {args} {return "cmd2: $args"} + proc cmd3 {args} {return "cmd3: $args"} + proc cmd4 {args} {return "cmd4: $args"} namespace export cmd1 cmd3 } +} -body { namespace eval test_ns_2 { namespace import -force ::test_ns_1::* } list [lsort [info commands test_ns_2::*]] [test_ns_2::cmd3 hello] -} [list [lsort {::test_ns_2::cmd1 ::test_ns_2::cmd3}] {cmd3: hello}] -test namespace-26.6 {NamespaceExportCmd, no patterns means return uniq'ed export list} { +} -result {{::test_ns_2::cmd1 ::test_ns_2::cmd3} {cmd3: hello}} +test namespace-26.6 {NamespaceExportCmd, no patterns means return uniq'ed export list} -setup { + catch {namespace delete {*}[namespace children test_ns_*]} + namespace eval test_ns_1 { + proc cmd1 {args} {return "cmd1: $args"} + proc cmd2 {args} {return "cmd2: $args"} + proc cmd3 {args} {return "cmd3: $args"} + proc cmd4 {args} {return "cmd4: $args"} + namespace export cmd1 cmd3 + } +} -body { namespace eval test_ns_1 { namespace export } -} {cmd1 cmd3} -test namespace-26.7 {NamespaceExportCmd, -clear resets export list} { +} -result {cmd1 cmd3} +test namespace-26.7 {NamespaceExportCmd, -clear resets export list} -setup { + catch {namespace delete {*}[namespace children test_ns_*]} + namespace eval test_ns_1 { + proc cmd1 {args} {return "cmd1: $args"} + proc cmd2 {args} {return "cmd2: $args"} + proc cmd3 {args} {return "cmd3: $args"} + proc cmd4 {args} {return "cmd4: $args"} + } +} -body { + namespace eval test_ns_1 { + namespace export cmd1 cmd3 + } + namespace eval test_ns_2 { + namespace import ::test_ns_1::* + } namespace eval test_ns_1 { namespace export -clear cmd4 } @@ -1119,7 +1269,7 @@ test namespace-26.7 {NamespaceExportCmd, -clear resets export list} { namespace import ::test_ns_1::* } list [lsort [info commands test_ns_2::*]] [test_ns_2::cmd4 hello] -} [list [lsort {::test_ns_2::cmd4 ::test_ns_2::cmd1 ::test_ns_2::cmd3}] {cmd4: hello}] +} -result [list [lsort {::test_ns_2::cmd4 ::test_ns_2::cmd1 ::test_ns_2::cmd3}] {cmd4: hello}] test namespace-26.8 {NamespaceExportCmd, -clear resets export list} { catch {namespace delete foo} namespace eval foo { @@ -1202,14 +1352,23 @@ test namespace-29.4 {NamespaceInscopeCmd, simple case} { } namespace inscope test_ns_1 cmd } {::test_ns_1::cmd: v=747, args=} -test namespace-29.5 {NamespaceInscopeCmd, has lappend semantics} { +test namespace-29.5 {NamespaceInscopeCmd, has lappend semantics} -setup { + namespace eval test_ns_1 { + variable v 747 + proc cmd {args} { + variable v + return "[namespace current]::cmd: v=$v, args=$args" + } + } +} -body { list [namespace inscope test_ns_1 cmd x y z] \ [namespace eval test_ns_1 [concat cmd [list x y z]]] -} {{::test_ns_1::cmd: v=747, args=x y z} {::test_ns_1::cmd: v=747, args=x y z}} -test namespace-29.6 {NamespaceInscopeCmd, 1400572} { +} -result {{::test_ns_1::cmd: v=747, args=x y z} {::test_ns_1::cmd: v=747, args=x y z}} +test namespace-29.6 {NamespaceInscopeCmd, 1400572} -setup { + namespace eval test_ns_1 {} +} -body { namespace inscope test_ns_1 {info level 0} -} {namespace inscope test_ns_1 {info level 0}} - +} -result {namespace inscope test_ns_1 {info level 0}} test namespace-30.1 {NamespaceOriginCmd, bad args} { catch {namespace delete {*}[namespace children :: test_ns_*]} @@ -1330,7 +1489,8 @@ test namespace-34.3 {NamespaceWhichCmd, single arg is always command name} { test namespace-34.4 {NamespaceWhichCmd, bad args} { list [catch {namespace which a b} msg] $msg } {1 {wrong # args: should be "namespace which ?-command? ?-variable? name"}} -test namespace-34.5 {NamespaceWhichCmd, command lookup} { +test namespace-34.5 {NamespaceWhichCmd, command lookup} -setup { + catch {namespace delete {*}[namespace children test_ns_*]} namespace eval test_ns_1 { namespace export cmd* variable v1 111 @@ -1343,6 +1503,7 @@ test namespace-34.5 {NamespaceWhichCmd, command lookup} { variable v2 222 proc p {} {} } +} -body { namespace eval test_ns_3 { namespace import ::test_ns_2::* variable v3 333 @@ -1352,26 +1513,59 @@ test namespace-34.5 {NamespaceWhichCmd, command lookup} { [namespace which -command ::test_ns_2::cmd2] \ [catch {namespace which -command ::test_ns_2::noSuchCmd} msg] $msg } -} {::foreach ::test_ns_3::p ::test_ns_3::cmd1 ::test_ns_2::cmd2 0 {}} -test namespace-34.6 {NamespaceWhichCmd, -command is default} { +} -result {::foreach ::test_ns_3::p ::test_ns_3::cmd1 ::test_ns_2::cmd2 0 {}} +test namespace-34.6 {NamespaceWhichCmd, -command is default} -setup { + catch {namespace delete {*}[namespace children test_ns_*]} + namespace eval test_ns_1 { + namespace export cmd* + proc cmd1 {args} {return "cmd1: $args"} + proc cmd2 {args} {return "cmd2: $args"} + } + namespace eval test_ns_2 { + namespace export * + namespace import ::test_ns_1::* + proc p {} {} + } + namespace eval test_ns_3 { + namespace import ::test_ns_2::* + } +} -body { namespace eval test_ns_3 { list [namespace which foreach] \ [namespace which p] \ [namespace which cmd1] \ [namespace which ::test_ns_2::cmd2] } -} {::foreach ::test_ns_3::p ::test_ns_3::cmd1 ::test_ns_2::cmd2} -test namespace-34.7 {NamespaceWhichCmd, variable lookup} { +} -result {::foreach ::test_ns_3::p ::test_ns_3::cmd1 ::test_ns_2::cmd2} +test namespace-34.7 {NamespaceWhichCmd, variable lookup} -setup { + catch {namespace delete {*}[namespace children test_ns_*]} + namespace eval test_ns_1 { + namespace export cmd* + proc cmd1 {args} {return "cmd1: $args"} + proc cmd2 {args} {return "cmd2: $args"} + } + namespace eval test_ns_2 { + namespace export * + namespace import ::test_ns_1::* + variable v2 222 + proc p {} {} + } + namespace eval test_ns_3 { + variable v3 333 + namespace import ::test_ns_2::* + } +} -body { namespace eval test_ns_3 { list [namespace which -variable env] \ [namespace which -variable v3] \ [namespace which -variable ::test_ns_2::v2] \ [catch {namespace which -variable ::test_ns_2::noSuchVar} msg] $msg } -} {::env ::test_ns_3::v3 ::test_ns_2::v2 0 {}} +} -result {::env ::test_ns_3::v3 ::test_ns_2::v2 0 {}} -test namespace-35.1 {FreeNsNameInternalRep, resulting ref count > 0} { +test namespace-35.1 {FreeNsNameInternalRep, resulting ref count > 0} -setup { catch {namespace delete {*}[namespace children :: test_ns_*]} +} -body { namespace eval test_ns_1 { proc p {} { namespace delete [namespace current] @@ -1379,7 +1573,7 @@ test namespace-35.1 {FreeNsNameInternalRep, resulting ref count > 0} { } } test_ns_1::p -} {::test_ns_1} +} -result {::test_ns_1} test namespace-35.2 {FreeNsNameInternalRep, resulting ref count == 0} { namespace eval test_ns_1 { proc q {} { -- cgit v0.12 From 0754a0cceab613ca075ba25c3010f649ec3814a9 Mon Sep 17 00:00:00 2001 From: dkf Date: Sun, 10 Jul 2016 12:45:34 +0000 Subject: Fix to resolver.test --- tests/resolver.test | 3 +++ 1 file changed, 3 insertions(+) diff --git a/tests/resolver.test b/tests/resolver.test index e73ea50..f3d22e5 100644 --- a/tests/resolver.test +++ b/tests/resolver.test @@ -135,6 +135,9 @@ test resolver-1.5 {cmdNameObj sharing vs. cmd resolver: other than global NS} -s z } } + namespace eval :: { + variable r2 "" + } } -constraints testinterpresolver -body { set r0 [namespace eval ::ns2 {x}] set r1 [namespace eval ::ns2 {z}] -- cgit v0.12 From 5c3df7890ed66305538ce9b69f0c584a45271c07 Mon Sep 17 00:00:00 2001 From: dkf Date: Sun, 10 Jul 2016 14:14:28 +0000 Subject: Fixes to namespace-old.test --- tests/namespace-old.test | 169 +++++++++++++++++++++++++++++++++++++++-------- 1 file changed, 140 insertions(+), 29 deletions(-) diff --git a/tests/namespace-old.test b/tests/namespace-old.test index 1d8ba31..1d6a805 100644 --- a/tests/namespace-old.test +++ b/tests/namespace-old.test @@ -57,6 +57,12 @@ test namespace-old-1.9 {add elements to a namespace} { } } } {} +namespace eval test_ns_simple { + variable test_ns_x 0 + proc test {test_ns_x} { + return "test: $test_ns_x" + } +} test namespace-old-1.10 {commands in a namespace} { namespace eval test_ns_simple { info commands [namespace current]::*} } {::test_ns_simple::test} @@ -74,6 +80,12 @@ test namespace-old-1.13 {add to an existing namespace} { } } } "" +namespace eval test_ns_simple { + variable test_ns_y 123 + proc _backdoor {cmd} { + eval $cmd + } +} test namespace-old-1.14 {commands in a namespace} { lsort [namespace eval test_ns_simple {info commands [namespace current]::*}] } {::test_ns_simple::_backdoor ::test_ns_simple::test} @@ -128,6 +140,8 @@ test namespace-old-1.26 {namespace qualifiers are okay after $'s} { test namespace-old-1.27 {can create commands with null names} { proc test_ns_simple:: {args} {return $args} } {} +# Redeclare; later tests depend on it +proc test_ns_simple:: {args} {return $args} # ----------------------------------------------------------------------- # TEST: using "info" in namespace contexts @@ -212,6 +226,11 @@ test namespace-old-4.3 {command "namespace delete" doesn't support patterns} { } list [catch $cmd msg] $msg } {1 {unknown namespace "ns*" in namespace delete command}} +namespace eval test_ns_delete { + namespace eval ns1 {} + namespace eval ns2 {} + namespace eval another {} +} test namespace-old-4.4 {command "namespace delete" handles multiple args} { set cmd { namespace eval test_ns_delete { @@ -256,6 +275,24 @@ test namespace-old-5.3 {namespace qualifiers work in namespace command} { [namespace eval test_ns_hier1::test_ns_hier2 {namespace current}] \ [namespace eval ::test_ns_hier1::test_ns_hier2 {namespace current}] } {::test_ns_hier1 ::test_ns_hier1::test_ns_hier2 ::test_ns_hier1::test_ns_hier2} +set ::test_ns_var_global "var in ::" +proc test_ns_cmd_global {} {return "cmd in ::"} +namespace eval test_ns_hier1 { + variable test_ns_var_hier1 "particular to hier1" + proc test_ns_cmd_hier1 {} {return "particular to hier1"} + variable test_ns_level 1 + proc test_ns_show {} {return "[namespace current]: 1"} + namespace eval test_ns_hier2 { + variable test_ns_var_hier2 "particular to hier2" + proc test_ns_cmd_hier2 {} {return "particular to hier2"} + variable test_ns_level 2 + proc test_ns_show {} {return "[namespace current]: 2"} + namespace eval test_ns_hier3a {} + namespace eval test_ns_hier3b {} + } + namespace eval test_ns_hier2a {} + namespace eval test_ns_hier2b {} +} test namespace-old-5.4 {nested namespaces can access global namespace} { list [namespace eval test_ns_hier1 {set test_ns_var_global}] \ [namespace eval test_ns_hier1 {test_ns_cmd_global}] \ @@ -331,16 +368,12 @@ test namespace-old-5.21 {querying namespace parent for explicit namespace} { # ----------------------------------------------------------------------- # TEST: name resolution and caching # ----------------------------------------------------------------------- +set trigger {namespace eval test_ns_cache2 {namespace current}} +set trigger2 {namespace eval test_ns_cache2::test_ns_cache3 {namespace current}} test namespace-old-6.1 {relative ns names only looked up in current ns} { namespace eval test_ns_cache1 {} namespace eval test_ns_cache2 {} namespace eval test_ns_cache2::test_ns_cache3 {} - set trigger { - namespace eval test_ns_cache2 {namespace current} - } - set trigger2 { - namespace eval test_ns_cache2::test_ns_cache3 {namespace current} - } list [namespace eval test_ns_cache1 $trigger] \ [namespace eval test_ns_cache1 $trigger2] } {::test_ns_cache1::test_ns_cache2 ::test_ns_cache1::test_ns_cache2::test_ns_cache3} @@ -354,20 +387,19 @@ test namespace-old-6.3 {relative ns names only looked up in current ns} { list [namespace eval test_ns_cache1 $trigger] \ [namespace eval test_ns_cache1 $trigger2] } {::test_ns_cache1::test_ns_cache2 ::test_ns_cache1::test_ns_cache2::test_ns_cache3} +namespace eval test_ns_cache1::test_ns_cache2 {} test namespace-old-6.4 {relative ns names only looked up in current ns} { namespace delete test_ns_cache1::test_ns_cache2 list [namespace eval test_ns_cache1 $trigger] \ [namespace eval test_ns_cache1 $trigger2] } {::test_ns_cache1::test_ns_cache2 ::test_ns_cache1::test_ns_cache2::test_ns_cache3} +namespace eval test_ns_cache1 { + proc trigger {} {test_ns_cache_cmd} +} test namespace-old-6.5 {define test commands} { proc test_ns_cache_cmd {} { return "global version" } - namespace eval test_ns_cache1 { - proc trigger {} { - test_ns_cache_cmd - } - } test_ns_cache1::trigger } {global version} test namespace-old-6.6 {one-level check for command shadowing} { @@ -376,24 +408,36 @@ test namespace-old-6.6 {one-level check for command shadowing} { } test_ns_cache1::trigger } {cache1 version} -test namespace-old-6.7 {renaming commands changes command epoch} { - namespace eval test_ns_cache1 { - rename test_ns_cache_cmd test_ns_new +proc test_ns_cache_cmd {} { + return "global version" +} +test namespace-old-6.7 {renaming commands changes command epoch} -setup { + proc test_ns_cache1::test_ns_cache_cmd {} { + return "cache1 version" } - test_ns_cache1::trigger -} {global version} -test namespace-old-6.8 {renaming back handles shadowing} { - namespace eval test_ns_cache1 { - rename test_ns_new test_ns_cache_cmd +} -body { + list [test_ns_cache1::trigger] \ + [namespace eval test_ns_cache1 {rename test_ns_cache_cmd test_ns_new}]\ + [test_ns_cache1::trigger] +} -result {{cache1 version} {} {global version}} +test namespace-old-6.8 {renaming back handles shadowing} -setup { + proc test_ns_cache1::test_ns_new {} { + return "cache1 version" } - test_ns_cache1::trigger -} {cache1 version} -test namespace-old-6.9 {deleting commands changes command epoch} { - namespace eval test_ns_cache1 { - rename test_ns_cache_cmd "" +} -body { + list [test_ns_cache1::trigger] \ + [namespace eval test_ns_cache1 {rename test_ns_new test_ns_cache_cmd}]\ + [test_ns_cache1::trigger] +} -result {{global version} {} {cache1 version}} +test namespace-old-6.9 {deleting commands changes command epoch} -setup { + proc test_ns_cache1::test_ns_cache_cmd {} { + return "cache1 version" } - test_ns_cache1::trigger -} {global version} +} -body { + list [test_ns_cache1::trigger] \ + [namespace eval test_ns_cache1 {rename test_ns_cache_cmd ""}] \ + [test_ns_cache1::trigger] +} -result {{cache1 version} {} {global version}} test namespace-old-6.10 {define test namespaces} { namespace eval test_ns_cache2 { proc test_ns_cache_cmd {} { @@ -412,6 +456,12 @@ test namespace-old-6.10 {define test namespaces} { } list [test_ns_cache1::trigger] [test_ns_cache1::test_ns_cache2::trigger] } {{global cache2 version} {global version}} +namespace eval test_ns_cache1 { + proc trigger {} { test_ns_cache2::test_ns_cache_cmd } + namespace eval test_ns_cache2 { + proc trigger {} { test_ns_cache_cmd } + } +} test namespace-old-6.11 {commands affect all parent namespaces} { proc test_ns_cache1::test_ns_cache2::test_ns_cache_cmd {} { return "cache2 version" @@ -423,18 +473,22 @@ test namespace-old-6.12 {define test variables} { set trigger {set test_ns_cache_var} namespace eval test_ns_cache1 $trigger } {global version} + set trigger {set test_ns_cache_var} test namespace-old-6.13 {one-level check for variable shadowing} { namespace eval test_ns_cache1 { variable test_ns_cache_var "cache1 version" } namespace eval test_ns_cache1 $trigger } {cache1 version} +variable ::test_ns_cache_var "global version" test namespace-old-6.14 {deleting variables changes variable epoch} { namespace eval test_ns_cache1 { - unset test_ns_cache_var + variable test_ns_cache_var "cache1 version" } - namespace eval test_ns_cache1 $trigger -} {global version} + list [namespace eval test_ns_cache1 $trigger] \ + [namespace eval test_ns_cache1 {unset test_ns_cache_var}] \ + [namespace eval test_ns_cache1 $trigger] +} {{cache1 version} {} {global version}} test namespace-old-6.15 {define test namespaces} { namespace eval test_ns_cache2 { variable test_ns_cache_var "global cache2 version" @@ -443,6 +497,7 @@ test namespace-old-6.15 {define test namespaces} { list [namespace eval test_ns_cache1 $trigger2] \ [namespace eval test_ns_cache1::test_ns_cache2 $trigger] } {{global cache2 version} {global version}} +set trigger2 {set test_ns_cache2::test_ns_cache_var} test namespace-old-6.16 {public variables affect all parent namespaces} { variable test_ns_cache1::test_ns_cache2::test_ns_cache_var "cache2 version" list [namespace eval test_ns_cache1 $trigger2] \ @@ -467,6 +522,7 @@ test namespace-old-6.19 {querying: namespace which -command} { test namespace-old-6.20 {command "namespace which" may not find commands} { namespace eval test_ns_cache1 {namespace which -command xyzzy} } {} +variable test_ns_cache1::test_ns_cache2::test_ns_cache_var "cache2 version" test namespace-old-6.21 {querying: namespace which -variable} { namespace eval test_ns_cache1::test_ns_cache2 { namespace which -variable test_ns_cache_var @@ -493,6 +549,18 @@ test namespace-old-7.1 {define test namespace} { } } } {} +namespace eval test_ns_uplevel { + variable x 0 + variable y 1 + proc show_vars {num} { + return [uplevel $num {info vars}] + } + proc test_uplevel {num} { + set a 0 + set b 1 + namespace eval ::test_ns_uplevel " return \[show_vars $num\] " + } +} test namespace-old-7.2 {uplevel can access namespace call frame} { list [expr {"x" in [test_ns_uplevel::test_uplevel 1]}] \ [expr {"y" in [test_ns_uplevel::test_uplevel 1]}] @@ -526,6 +594,17 @@ test namespace-old-7.8 {namespaces are included in the call stack} { } } } {} +namespace eval test_ns_upvar { + variable scope "test_ns_upvar" + proc show_val {var num} { + upvar $num $var x + return $x + } + proc test_upvar {num} { + set scope "test_ns_upvar::test_upvar" + namespace eval ::test_ns_upvar " return \[show_val scope $num\] " + } +} test namespace-old-7.9 {upvar can access namespace call frame} { test_ns_upvar::test_upvar 1 } {test_ns_upvar} @@ -581,6 +660,15 @@ test namespace-old-9.3 {define test namespaces for import} { } lsort [info commands test_ns_export::*] } {::test_ns_export::cmd1 ::test_ns_export::cmd2 ::test_ns_export::cmd3 ::test_ns_export::cmd4 ::test_ns_export::cmd5 ::test_ns_export::cmd6} +namespace eval test_ns_export { + namespace export cmd1 cmd2 cmd3 + proc cmd1 {args} {return "cmd1: $args"} + proc cmd2 {args} {return "cmd2: $args"} + proc cmd3 {args} {return "cmd3: $args"} + proc cmd4 {args} {return "cmd4: $args"} + proc cmd5 {args} {return "cmd5: $args"} + proc cmd6 {args} {return "cmd6: $args"} +} test namespace-old-9.4 {check export status} { set x "" namespace eval test_ns_import { @@ -592,6 +680,10 @@ test namespace-old-9.4 {check export status} { } set x } {::test_ns_import::cmd1 ::test_ns_import::cmd2 ::test_ns_import::cmd3} +namespace eval test_ns_import { + namespace export cmd1 cmd2 + namespace import ::test_ns_export::* +} test namespace-old-9.5 {empty import list in "namespace import" command} { namespace eval test_ns_import_empty { namespace import ::test_ns_export::* @@ -615,6 +707,7 @@ test namespace-old-9.8 {only exported commands are imported} { namespace import test_ns_import::cmd* set x [lsort [info commands cmd*]] } {cmd1 cmd2} +namespace import test_ns_import::cmd* test namespace-old-9.9 {imported commands work just the same as original} { list [cmd1 test 1 2 3] [test_ns_import::cmd1 test 4 5 6] } {{cmd1: test 1 2 3} {cmd1: test 4 5 6}} @@ -629,10 +722,19 @@ test namespace-old-9.10 {commands can be imported from many namespaces} { namespace import test_ns_import2::* lsort [concat [info commands cmd*] [info commands ncmd*]] } {cmd1 cmd2 ncmd ncmd1 ncmd2} +namespace eval test_ns_import2 { + namespace export ncmd ncmd1 ncmd2 + proc ncmd {args} {return "ncmd: $args"} + proc ncmd1 {args} {return "ncmd1: $args"} + proc ncmd2 {args} {return "ncmd2: $args"} + proc ncmd3 {args} {return "ncmd3: $args"} +} +namespace import test_ns_import2::* test namespace-old-9.11 {imported commands can be removed by deleting them} { rename cmd1 "" lsort [concat [info commands cmd*] [info commands ncmd*]] } {cmd2 ncmd ncmd1 ncmd2} +catch { rename cmd1 "" } test namespace-old-9.12 {command "namespace forget" checks for valid namespaces} { list [catch {namespace forget xyzzy::*} msg] $msg } {1 {unknown namespace in namespace forget pattern "xyzzy::*"}} @@ -653,6 +755,7 @@ test namespace-old-9.15 {existing commands can't be overwritten} { [cmd1 3 5] } {1 {can't import command "cmd1": already exists} 8} test namespace-old-9.16 {use "-force" option to override existing commands} { + proc cmd1 {x y} { return [expr $x+$y] } list [cmd1 3 5] \ [namespace import -force test_ns_import::cmd?] \ [cmd1 3 5] @@ -711,10 +814,18 @@ test namespace-old-10.6 {with many args, each "scope" adds new args} { set sval [namespace eval test_ns_inscope {namespace code {one two}}] namespace code "$sval three" } {::namespace inscope ::test_ns_inscope {one two} three} +namespace eval test_ns_inscope { + proc show {args} { + return "show: $args" + } +} test namespace-old-10.7 {scoped commands work with eval} { set cref [namespace eval test_ns_inscope {namespace code show}] list [eval $cref "a" "b c" "d e f"] } {{show: a b c d e f}} +namespace eval test_ns_inscope { + variable x "x-value" +} test namespace-old-10.8 {scoped commands execute in namespace context} { set cref [namespace eval test_ns_inscope { namespace code {set x "some new value"} -- cgit v0.12 From 958e525baf3292c31b387ce0306a8dc984419c6c Mon Sep 17 00:00:00 2001 From: dgp Date: Sun, 10 Jul 2016 19:28:57 +0000 Subject: [96fe2f1cc7] Plug memory leak. --- generic/tclExecute.c | 1 + 1 file changed, 1 insertion(+) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 52865e6..c0cbd9e 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -3168,6 +3168,7 @@ TEBCresume( Tcl_ListObjAppendElement(NULL, copyPtr, objPtr); Tcl_ListObjReplace(NULL, copyPtr, LIST_MAX, 0, objc - opnd, objv + opnd); + Tcl_DecrRefCount(objPtr); objPtr = copyPtr; } -- cgit v0.12 From d6146b2e552c294199df0354470b89fe955a7345 Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 11 Jul 2016 17:13:09 +0000 Subject: Avoid memory leak in test. --- tests/socket.test | 1 - 1 file changed, 1 deletion(-) diff --git a/tests/socket.test b/tests/socket.test index 8473602..d43c41c 100644 --- a/tests/socket.test +++ b/tests/socket.test @@ -1782,7 +1782,6 @@ test socket_$af-13.1 {Testing use of shared socket between two threads} -body { set i 0 vwait x close $f - thread::wait }]] set port [thread::send $serverthread {set listen}] set s [socket $localhost $port] -- cgit v0.12 From 59ded443ac132275413b2e6f6e9cb4eb6cba468b Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 11 Jul 2016 21:56:32 +0000 Subject: [cea0344a1] Restore a clearing of the ensemble rewrite in one execution path so attempts to use the data after free are not made. Test namespace-50.9 demonstrates the need for this. --- generic/tclExecute.c | 7 +++++++ tests/namespace.test | 7 +++++++ 2 files changed, 14 insertions(+) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index c0cbd9e..e539161 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -2078,6 +2078,13 @@ TclNRExecuteByteCode( #endif /* + * Test namespace-50.9 demonstrates the need for this call. + * Use a --enable-symbols=mem bug to see. + */ + + TclResetRewriteEnsemble(interp, 1); + + /* * Push the callback for bytecode execution */ diff --git a/tests/namespace.test b/tests/namespace.test index 575695f..55505f1 100644 --- a/tests/namespace.test +++ b/tests/namespace.test @@ -2356,6 +2356,13 @@ test namespace-50.8 {[f961d7d1dd]} -setup { rename e {} rename target {} } +test namespace-50.9 {[cea0344a51]} -body { + namespace eval foo { + namespace eval bar { + namespace delete foo + } + } +} -returnCodes error -result {unknown namespace "foo" in namespace delete command} test namespace-51.1 {name resolution path control} -body { namespace eval ::test_ns_1 { -- cgit v0.12 From 2db2dfd35e31ce264948ce805c95046062ff5ccd Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 12 Jul 2016 13:23:21 +0000 Subject: Start RC branch for Tcl 8.6.6 --- README | 2 +- generic/tcl.h | 4 ++-- library/init.tcl | 2 +- unix/configure | 2 +- unix/configure.in | 2 +- unix/tcl.spec | 2 +- win/configure | 2 +- win/configure.in | 2 +- 8 files changed, 9 insertions(+), 9 deletions(-) diff --git a/README b/README index f3e50dd..401b6e6 100644 --- a/README +++ b/README @@ -1,5 +1,5 @@ README: Tcl - This is the Tcl 8.6.5 source distribution. + This is the Tcl 8.6.6 source distribution. http://sourceforge.net/projects/tcl/files/Tcl/ You can get any source release of Tcl from the URL above. diff --git a/generic/tcl.h b/generic/tcl.h index 3490049..3037ceb 100644 --- a/generic/tcl.h +++ b/generic/tcl.h @@ -56,10 +56,10 @@ extern "C" { #define TCL_MAJOR_VERSION 8 #define TCL_MINOR_VERSION 6 #define TCL_RELEASE_LEVEL TCL_FINAL_RELEASE -#define TCL_RELEASE_SERIAL 5 +#define TCL_RELEASE_SERIAL 6 #define TCL_VERSION "8.6" -#define TCL_PATCH_LEVEL "8.6.5" +#define TCL_PATCH_LEVEL "8.6.6" /* *---------------------------------------------------------------------------- diff --git a/library/init.tcl b/library/init.tcl index 9fd2170..9ca4514 100644 --- a/library/init.tcl +++ b/library/init.tcl @@ -16,7 +16,7 @@ if {[info commands package] == ""} { error "version mismatch: library\nscripts expect Tcl version 7.5b1 or later but the loaded version is\nonly [info patchlevel]" } -package require -exact Tcl 8.6.5 +package require -exact Tcl 8.6.6 # Compute the auto path to use in this interpreter. # The values on the path come from several locations: diff --git a/unix/configure b/unix/configure index 2e774f7..38c3f9a 100755 --- a/unix/configure +++ b/unix/configure @@ -1335,7 +1335,7 @@ ac_compiler_gnu=$ac_cv_c_compiler_gnu TCL_VERSION=8.6 TCL_MAJOR_VERSION=8 TCL_MINOR_VERSION=6 -TCL_PATCH_LEVEL=".5" +TCL_PATCH_LEVEL=".6" VERSION=${TCL_VERSION} EXTRA_INSTALL_BINARIES=${EXTRA_INSTALL_BINARIES:-"@:"} diff --git a/unix/configure.in b/unix/configure.in index 5d4cfbe..1d86213 100644 --- a/unix/configure.in +++ b/unix/configure.in @@ -25,7 +25,7 @@ m4_ifdef([SC_USE_CONFIG_HEADERS], [ TCL_VERSION=8.6 TCL_MAJOR_VERSION=8 TCL_MINOR_VERSION=6 -TCL_PATCH_LEVEL=".5" +TCL_PATCH_LEVEL=".6" VERSION=${TCL_VERSION} EXTRA_INSTALL_BINARIES=${EXTRA_INSTALL_BINARIES:-"@:"} diff --git a/unix/tcl.spec b/unix/tcl.spec index 3044311..8bf77f3 100644 --- a/unix/tcl.spec +++ b/unix/tcl.spec @@ -4,7 +4,7 @@ Name: tcl Summary: Tcl scripting language development environment -Version: 8.6.5 +Version: 8.6.6 Release: 2 License: BSD Group: Development/Languages diff --git a/win/configure b/win/configure index 2336111..e8e4b87 100755 --- a/win/configure +++ b/win/configure @@ -1311,7 +1311,7 @@ SHELL=/bin/sh TCL_VERSION=8.6 TCL_MAJOR_VERSION=8 TCL_MINOR_VERSION=6 -TCL_PATCH_LEVEL=".5" +TCL_PATCH_LEVEL=".6" VER=$TCL_MAJOR_VERSION$TCL_MINOR_VERSION TCL_DDE_VERSION=1.4 diff --git a/win/configure.in b/win/configure.in index a72b993..8bb9c48 100644 --- a/win/configure.in +++ b/win/configure.in @@ -14,7 +14,7 @@ SHELL=/bin/sh TCL_VERSION=8.6 TCL_MAJOR_VERSION=8 TCL_MINOR_VERSION=6 -TCL_PATCH_LEVEL=".5" +TCL_PATCH_LEVEL=".6" VER=$TCL_MAJOR_VERSION$TCL_MINOR_VERSION TCL_DDE_VERSION=1.4 -- cgit v0.12 From 71e7049f8ea65780583e847f2b3055b519395517 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 12 Jul 2016 13:44:26 +0000 Subject: Make hash type changable by compiling with -DTCL_HASH_TYPE=size_t (for example). Default (unsigned) cannot be changed in Tcl 8.x, that must wait until Tcl 9. --- doc/Hash.3 | 2 +- generic/tcl.h | 6 +++++- generic/tclHash.c | 12 ++++++------ generic/tclInt.h | 2 +- generic/tclObj.c | 4 ++-- 5 files changed, 15 insertions(+), 11 deletions(-) diff --git a/doc/Hash.3 b/doc/Hash.3 index 4dc3623..aa79b86 100644 --- a/doc/Hash.3 +++ b/doc/Hash.3 @@ -281,7 +281,7 @@ The \fIhashKeyProc\fR member contains the address of a function called to calculate a hash value for the key. .PP .CS -typedef unsigned int \fBTcl_HashKeyProc\fR( +typedef TCL_HASH_TYPE \fBTcl_HashKeyProc\fR( Tcl_HashTable *\fItablePtr\fR, void *\fIkeyPtr\fR); .CE diff --git a/generic/tcl.h b/generic/tcl.h index 6061ea8..ded8d0b 100644 --- a/generic/tcl.h +++ b/generic/tcl.h @@ -1157,11 +1157,15 @@ typedef struct Tcl_DString { * Forward declarations of Tcl_HashTable and related types. */ +#ifndef TCL_HASH_TYPE +# define TCL_HASH_TYPE unsigned +#endif + typedef struct Tcl_HashKeyType Tcl_HashKeyType; typedef struct Tcl_HashTable Tcl_HashTable; typedef struct Tcl_HashEntry Tcl_HashEntry; -typedef unsigned (Tcl_HashKeyProc) (Tcl_HashTable *tablePtr, void *keyPtr); +typedef TCL_HASH_TYPE (Tcl_HashKeyProc) (Tcl_HashTable *tablePtr, void *keyPtr); typedef int (Tcl_CompareHashKeysProc) (void *keyPtr, Tcl_HashEntry *hPtr); typedef Tcl_HashEntry * (Tcl_AllocHashEntryProc) (Tcl_HashTable *tablePtr, void *keyPtr); diff --git a/generic/tclHash.c b/generic/tclHash.c index 3ea9dd9..ac9d40e 100644 --- a/generic/tclHash.c +++ b/generic/tclHash.c @@ -43,7 +43,7 @@ static Tcl_HashEntry * AllocArrayEntry(Tcl_HashTable *tablePtr, void *keyPtr); static int CompareArrayKeys(void *keyPtr, Tcl_HashEntry *hPtr); -static unsigned int HashArrayKey(Tcl_HashTable *tablePtr, void *keyPtr); +static TCL_HASH_TYPE HashArrayKey(Tcl_HashTable *tablePtr, void *keyPtr); /* * Prototypes for the one word hash key methods. Not actually declared because @@ -65,7 +65,7 @@ static unsigned int HashOneWordKey(Tcl_HashTable *tablePtr, void *keyPtr); static Tcl_HashEntry * AllocStringEntry(Tcl_HashTable *tablePtr, void *keyPtr); static int CompareStringKeys(void *keyPtr, Tcl_HashEntry *hPtr); -static unsigned int HashStringKey(Tcl_HashTable *tablePtr, void *keyPtr); +static TCL_HASH_TYPE HashStringKey(Tcl_HashTable *tablePtr, void *keyPtr); /* * Function prototypes for static functions in this file: @@ -774,7 +774,7 @@ CompareArrayKeys( *---------------------------------------------------------------------- */ -static unsigned int +static TCL_HASH_TYPE HashArrayKey( Tcl_HashTable *tablePtr, /* Hash table. */ void *keyPtr) /* Key from which to compute hash value. */ @@ -787,7 +787,7 @@ HashArrayKey( count--, array++) { result += *array; } - return result; + return (TCL_HASH_TYPE) result; } /* @@ -870,7 +870,7 @@ CompareStringKeys( *---------------------------------------------------------------------- */ -static unsigned +static TCL_HASH_TYPE HashStringKey( Tcl_HashTable *tablePtr, /* Hash table. */ void *keyPtr) /* Key from which to compute hash value. */ @@ -916,7 +916,7 @@ HashStringKey( result += (result << 3) + UCHAR(c); } } - return result; + return (TCL_HASH_TYPE) result; } /* diff --git a/generic/tclInt.h b/generic/tclInt.h index c01b0c1..33476ed 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -3977,7 +3977,7 @@ MODULE_SCOPE int TclObjCallVarTraces(Interp *iPtr, Var *arrayPtr, MODULE_SCOPE int TclCompareObjKeys(void *keyPtr, Tcl_HashEntry *hPtr); MODULE_SCOPE void TclFreeObjEntry(Tcl_HashEntry *hPtr); -MODULE_SCOPE unsigned TclHashObjKey(Tcl_HashTable *tablePtr, void *keyPtr); +MODULE_SCOPE TCL_HASH_TYPE TclHashObjKey(Tcl_HashTable *tablePtr, void *keyPtr); MODULE_SCOPE int TclFullFinalizationRequested(void); diff --git a/generic/tclObj.c b/generic/tclObj.c index 776b034..0cd7839 100644 --- a/generic/tclObj.c +++ b/generic/tclObj.c @@ -4048,7 +4048,7 @@ TclFreeObjEntry( *---------------------------------------------------------------------- */ -unsigned int +TCL_HASH_TYPE TclHashObjKey( Tcl_HashTable *tablePtr, /* Hash table. */ void *keyPtr) /* Key from which to compute hash value. */ @@ -4098,7 +4098,7 @@ TclHashObjKey( result += (result << 3) + UCHAR(*++string); } } - return result; + return (TCL_HASH_TYPE) result; } /* -- cgit v0.12 From bcd1ebff474ba386f8fb7db75692a39ce5bcb8ca Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 12 Jul 2016 14:02:17 +0000 Subject: Fix "file owned" for Cygwin: st_uid is only 16-bit there. --- generic/tclCmdAH.c | 7 ++++++- 1 file changed, 6 insertions(+), 1 deletion(-) diff --git a/generic/tclCmdAH.c b/generic/tclCmdAH.c index 13d3df5..88cc17d 100644 --- a/generic/tclCmdAH.c +++ b/generic/tclCmdAH.c @@ -1596,14 +1596,19 @@ FileAttrIsOwnedCmd( int objc, Tcl_Obj *const objv[]) { +#ifdef __CYGWIN__ +#define geteuid() (short)(geteuid)() +#endif +#if !defined(_WIN32) Tcl_StatBuf buf; +#endif int value = 0; if (objc != 2) { Tcl_WrongNumArgs(interp, 1, objv, "name"); return TCL_ERROR; } -#if defined(_WIN32) || defined(__CYGWIN__) +#if defined(_WIN32) value = TclWinFileOwned(objv[1]); #else if (GetStatBuf(NULL, objv[1], Tcl_FSStat, &buf) == TCL_OK) { -- cgit v0.12 From 2707284613f1df3c587790ac8a2757dc8592db63 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 12 Jul 2016 16:24:35 +0000 Subject: Dup test name. Bump to TclOO 1.0.5. --- generic/tclOO.h | 2 +- tests/info.test | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/generic/tclOO.h b/generic/tclOO.h index 696908a..46f01fb 100644 --- a/generic/tclOO.h +++ b/generic/tclOO.h @@ -24,7 +24,7 @@ * win/tclooConfig.sh */ -#define TCLOO_VERSION "1.0.4" +#define TCLOO_VERSION "1.0.5" #define TCLOO_PATCHLEVEL TCLOO_VERSION #include "tcl.h" diff --git a/tests/info.test b/tests/info.test index e0fddb3..c4fd379 100644 --- a/tests/info.test +++ b/tests/info.test @@ -2398,7 +2398,7 @@ test info-33.35 {{*}, literal, simple, bytecompiled} -body { # ------------------------------------------------------------------------- unset -nocomplain res -test info-39.0 {Bug 4b61afd660} -setup { +test info-39.1 {Bug 4b61afd660} -setup { proc probe {} { return [dict get [info frame -1] line] } -- cgit v0.12 From 5fce2d6fcdbb4dcfaf883bece8154b866450c010 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 12 Jul 2016 16:46:08 +0000 Subject: tzdata2016f --- library/tzdata/America/Cambridge_Bay | 2 +- library/tzdata/America/Inuvik | 2 +- library/tzdata/America/Iqaluit | 2 +- library/tzdata/America/Pangnirtung | 2 +- library/tzdata/America/Rankin_Inlet | 2 +- library/tzdata/America/Resolute | 2 +- library/tzdata/America/Yellowknife | 2 +- library/tzdata/Antarctica/Casey | 2 +- library/tzdata/Antarctica/Davis | 4 +- library/tzdata/Antarctica/DumontDUrville | 4 +- library/tzdata/Antarctica/Macquarie | 4 +- library/tzdata/Antarctica/Mawson | 2 +- library/tzdata/Antarctica/Palmer | 2 +- library/tzdata/Antarctica/Rothera | 2 +- library/tzdata/Antarctica/Syowa | 2 +- library/tzdata/Antarctica/Troll | 2 +- library/tzdata/Antarctica/Vostok | 2 +- library/tzdata/Asia/Baku | 2 +- library/tzdata/Asia/Novokuznetsk | 133 +++++++++++++++--------------- library/tzdata/Asia/Novosibirsk | 135 ++++++++++++++++--------------- library/tzdata/Europe/Minsk | 6 +- library/tzdata/Indian/Kerguelen | 2 +- 22 files changed, 159 insertions(+), 159 deletions(-) diff --git a/library/tzdata/America/Cambridge_Bay b/library/tzdata/America/Cambridge_Bay index 23004bb..3115ee1 100644 --- a/library/tzdata/America/Cambridge_Bay +++ b/library/tzdata/America/Cambridge_Bay @@ -1,7 +1,7 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:America/Cambridge_Bay) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-1577923200 -25200 0 MST} {-880210800 -21600 1 MWT} {-769395600 -21600 1 MPT} diff --git a/library/tzdata/America/Inuvik b/library/tzdata/America/Inuvik index dd0d151..08f0fd6 100644 --- a/library/tzdata/America/Inuvik +++ b/library/tzdata/America/Inuvik @@ -1,7 +1,7 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:America/Inuvik) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-536457600 -28800 0 PST} {-147888000 -21600 1 PDDT} {-131558400 -28800 0 PST} diff --git a/library/tzdata/America/Iqaluit b/library/tzdata/America/Iqaluit index 2a2e9fe..ff82866 100644 --- a/library/tzdata/America/Iqaluit +++ b/library/tzdata/America/Iqaluit @@ -1,7 +1,7 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:America/Iqaluit) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-865296000 -14400 0 EWT} {-769395600 -14400 1 EPT} {-765396000 -18000 0 EST} diff --git a/library/tzdata/America/Pangnirtung b/library/tzdata/America/Pangnirtung index 640808e..14d8516 100644 --- a/library/tzdata/America/Pangnirtung +++ b/library/tzdata/America/Pangnirtung @@ -1,7 +1,7 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:America/Pangnirtung) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-1546300800 -14400 0 AST} {-880221600 -10800 1 AWT} {-769395600 -10800 1 APT} diff --git a/library/tzdata/America/Rankin_Inlet b/library/tzdata/America/Rankin_Inlet index 770ec5d..9ce9f8d 100644 --- a/library/tzdata/America/Rankin_Inlet +++ b/library/tzdata/America/Rankin_Inlet @@ -1,7 +1,7 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:America/Rankin_Inlet) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-410227200 -21600 0 CST} {-147895200 -14400 1 CDDT} {-131565600 -21600 0 CST} diff --git a/library/tzdata/America/Resolute b/library/tzdata/America/Resolute index b4c0bab..a9881b4 100644 --- a/library/tzdata/America/Resolute +++ b/library/tzdata/America/Resolute @@ -1,7 +1,7 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:America/Resolute) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-704937600 -21600 0 CST} {-147895200 -14400 1 CDDT} {-131565600 -21600 0 CST} diff --git a/library/tzdata/America/Yellowknife b/library/tzdata/America/Yellowknife index 44ca658..c6c4ed5 100644 --- a/library/tzdata/America/Yellowknife +++ b/library/tzdata/America/Yellowknife @@ -1,7 +1,7 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:America/Yellowknife) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-1104537600 -25200 0 MST} {-880210800 -21600 1 MWT} {-769395600 -21600 1 MPT} diff --git a/library/tzdata/Antarctica/Casey b/library/tzdata/Antarctica/Casey index 56d5df7..2573dac 100644 --- a/library/tzdata/Antarctica/Casey +++ b/library/tzdata/Antarctica/Casey @@ -1,7 +1,7 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Antarctica/Casey) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-31536000 28800 0 AWST} {1255802400 39600 0 CAST} {1267714800 28800 0 AWST} diff --git a/library/tzdata/Antarctica/Davis b/library/tzdata/Antarctica/Davis index 2762d2f..c98be2f 100644 --- a/library/tzdata/Antarctica/Davis +++ b/library/tzdata/Antarctica/Davis @@ -1,9 +1,9 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Antarctica/Davis) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-409190400 25200 0 DAVT} - {-163062000 0 0 zzz} + {-163062000 0 0 -00} {-28857600 25200 0 DAVT} {1255806000 18000 0 DAVT} {1268251200 25200 0 DAVT} diff --git a/library/tzdata/Antarctica/DumontDUrville b/library/tzdata/Antarctica/DumontDUrville index 41dc1e3..8d21d45 100644 --- a/library/tzdata/Antarctica/DumontDUrville +++ b/library/tzdata/Antarctica/DumontDUrville @@ -1,8 +1,8 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Antarctica/DumontDUrville) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-725846400 36000 0 PMT} - {-566992800 0 0 zzz} + {-566992800 0 0 -00} {-415497600 36000 0 DDUT} } diff --git a/library/tzdata/Antarctica/Macquarie b/library/tzdata/Antarctica/Macquarie index 07ddff6..9ed0630 100644 --- a/library/tzdata/Antarctica/Macquarie +++ b/library/tzdata/Antarctica/Macquarie @@ -1,12 +1,12 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Antarctica/Macquarie) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-2214259200 36000 0 AEST} {-1680508800 39600 1 AEDT} {-1669892400 39600 0 AEDT} {-1665392400 36000 0 AEST} - {-1601719200 0 0 zzz} + {-1601719200 0 0 -00} {-94730400 36000 0 AEST} {-71136000 39600 1 AEDT} {-55411200 36000 0 AEST} diff --git a/library/tzdata/Antarctica/Mawson b/library/tzdata/Antarctica/Mawson index ba03ba1..e50aa07 100644 --- a/library/tzdata/Antarctica/Mawson +++ b/library/tzdata/Antarctica/Mawson @@ -1,7 +1,7 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Antarctica/Mawson) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-501206400 21600 0 MAWT} {1255809600 18000 0 MAWT} } diff --git a/library/tzdata/Antarctica/Palmer b/library/tzdata/Antarctica/Palmer index 5767985..62b17e1 100644 --- a/library/tzdata/Antarctica/Palmer +++ b/library/tzdata/Antarctica/Palmer @@ -1,7 +1,7 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Antarctica/Palmer) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-157766400 -14400 0 ART} {-152654400 -14400 0 ART} {-132955200 -10800 1 ARST} diff --git a/library/tzdata/Antarctica/Rothera b/library/tzdata/Antarctica/Rothera index 24d7f3e..3a219c7 100644 --- a/library/tzdata/Antarctica/Rothera +++ b/library/tzdata/Antarctica/Rothera @@ -1,6 +1,6 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Antarctica/Rothera) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {218246400 -10800 0 ROTT} } diff --git a/library/tzdata/Antarctica/Syowa b/library/tzdata/Antarctica/Syowa index 4d046b5..1fe030a 100644 --- a/library/tzdata/Antarctica/Syowa +++ b/library/tzdata/Antarctica/Syowa @@ -1,6 +1,6 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Antarctica/Syowa) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-407808000 10800 0 SYOT} } diff --git a/library/tzdata/Antarctica/Troll b/library/tzdata/Antarctica/Troll index 7d2b042..09727a8 100644 --- a/library/tzdata/Antarctica/Troll +++ b/library/tzdata/Antarctica/Troll @@ -1,7 +1,7 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Antarctica/Troll) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {1108166400 0 0 UTC} {1111885200 7200 1 CEST} {1130634000 0 0 UTC} diff --git a/library/tzdata/Antarctica/Vostok b/library/tzdata/Antarctica/Vostok index f846f65..a59868b 100644 --- a/library/tzdata/Antarctica/Vostok +++ b/library/tzdata/Antarctica/Vostok @@ -1,6 +1,6 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Antarctica/Vostok) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-380073600 21600 0 VOST} } diff --git a/library/tzdata/Asia/Baku b/library/tzdata/Asia/Baku index bc0701a..e9ee835 100644 --- a/library/tzdata/Asia/Baku +++ b/library/tzdata/Asia/Baku @@ -28,7 +28,7 @@ set TZData(:Asia/Baku) { {683496000 14400 0 AZST} {686098800 10800 0 AZT} {701823600 14400 1 AZST} - {717537600 14400 0 AZT} + {717548400 14400 0 AZT} {820440000 14400 0 AZT} {828234000 18000 1 AZST} {846378000 14400 0 AZT} diff --git a/library/tzdata/Asia/Novokuznetsk b/library/tzdata/Asia/Novokuznetsk index f079faa..a43a984 100644 --- a/library/tzdata/Asia/Novokuznetsk +++ b/library/tzdata/Asia/Novokuznetsk @@ -2,71 +2,70 @@ set TZData(:Asia/Novokuznetsk) { {-9223372036854775808 20928 0 LMT} - {-1441259328 21600 0 KRAT} - {-1247551200 25200 0 KRAMMTT} - {354906000 28800 1 KRAST} - {370713600 25200 0 KRAT} - {386442000 28800 1 KRAST} - {402249600 25200 0 KRAT} - {417978000 28800 1 KRAST} - {433785600 25200 0 KRAT} - {449600400 28800 1 KRAST} - {465332400 25200 0 KRAT} - {481057200 28800 1 KRAST} - {496782000 25200 0 KRAT} - {512506800 28800 1 KRAST} - {528231600 25200 0 KRAT} - {543956400 28800 1 KRAST} - {559681200 25200 0 KRAT} - {575406000 28800 1 KRAST} - {591130800 25200 0 KRAT} - {606855600 28800 1 KRAST} - {622580400 25200 0 KRAT} - {638305200 28800 1 KRAST} - {654634800 25200 0 KRAT} - {670359600 21600 0 KRAMMTT} - {670363200 25200 1 KRAST} - {686088000 21600 0 KRAT} - {695764800 25200 0 KRAMMTT} - {701809200 28800 1 KRAST} - {717534000 25200 0 KRAT} - {733258800 28800 1 KRAST} - {748983600 25200 0 KRAT} - {764708400 28800 1 KRAST} - {780433200 25200 0 KRAT} - {796158000 28800 1 KRAST} - {811882800 25200 0 KRAT} - {828212400 28800 1 KRAST} - {846356400 25200 0 KRAT} - {859662000 28800 1 KRAST} - {877806000 25200 0 KRAT} - {891111600 28800 1 KRAST} - {909255600 25200 0 KRAT} - {922561200 28800 1 KRAST} - {941310000 25200 0 KRAT} - {954010800 28800 1 KRAST} - {972759600 25200 0 KRAT} - {985460400 28800 1 KRAST} - {1004209200 25200 0 KRAT} - {1017514800 28800 1 KRAST} - {1035658800 25200 0 KRAT} - {1048964400 28800 1 KRAST} - {1067108400 25200 0 KRAT} - {1080414000 28800 1 KRAST} - {1099162800 25200 0 KRAT} - {1111863600 28800 1 KRAST} - {1130612400 25200 0 KRAT} - {1143313200 28800 1 KRAST} - {1162062000 25200 0 KRAT} - {1174762800 28800 1 KRAST} - {1193511600 25200 0 KRAT} - {1206817200 28800 1 KRAST} - {1224961200 25200 0 KRAT} - {1238266800 28800 1 KRAST} - {1256410800 25200 0 KRAT} - {1269716400 21600 0 NOVMMTT} - {1269720000 25200 1 NOVST} - {1288468800 21600 0 NOVT} - {1301169600 25200 0 NOVT} - {1414263600 25200 0 KRAT} + {-1441259328 21600 0 +06} + {-1247551200 25200 0 +08} + {354906000 28800 1 +08} + {370713600 25200 0 +07} + {386442000 28800 1 +08} + {402249600 25200 0 +07} + {417978000 28800 1 +08} + {433785600 25200 0 +07} + {449600400 28800 1 +08} + {465332400 25200 0 +07} + {481057200 28800 1 +08} + {496782000 25200 0 +07} + {512506800 28800 1 +08} + {528231600 25200 0 +07} + {543956400 28800 1 +08} + {559681200 25200 0 +07} + {575406000 28800 1 +08} + {591130800 25200 0 +07} + {606855600 28800 1 +08} + {622580400 25200 0 +07} + {638305200 28800 1 +08} + {654634800 25200 0 +07} + {670359600 21600 0 +07} + {670363200 25200 1 +07} + {686088000 21600 0 +06} + {695764800 25200 0 +08} + {701809200 28800 1 +08} + {717534000 25200 0 +07} + {733258800 28800 1 +08} + {748983600 25200 0 +07} + {764708400 28800 1 +08} + {780433200 25200 0 +07} + {796158000 28800 1 +08} + {811882800 25200 0 +07} + {828212400 28800 1 +08} + {846356400 25200 0 +07} + {859662000 28800 1 +08} + {877806000 25200 0 +07} + {891111600 28800 1 +08} + {909255600 25200 0 +07} + {922561200 28800 1 +08} + {941310000 25200 0 +07} + {954010800 28800 1 +08} + {972759600 25200 0 +07} + {985460400 28800 1 +08} + {1004209200 25200 0 +07} + {1017514800 28800 1 +08} + {1035658800 25200 0 +07} + {1048964400 28800 1 +08} + {1067108400 25200 0 +07} + {1080414000 28800 1 +08} + {1099162800 25200 0 +07} + {1111863600 28800 1 +08} + {1130612400 25200 0 +07} + {1143313200 28800 1 +08} + {1162062000 25200 0 +07} + {1174762800 28800 1 +08} + {1193511600 25200 0 +07} + {1206817200 28800 1 +08} + {1224961200 25200 0 +07} + {1238266800 28800 1 +08} + {1256410800 25200 0 +07} + {1269716400 21600 0 +07} + {1269720000 25200 1 +07} + {1288468800 21600 0 +06} + {1301169600 25200 0 +07} } diff --git a/library/tzdata/Asia/Novosibirsk b/library/tzdata/Asia/Novosibirsk index 54c83fa..21f5c00 100644 --- a/library/tzdata/Asia/Novosibirsk +++ b/library/tzdata/Asia/Novosibirsk @@ -2,71 +2,72 @@ set TZData(:Asia/Novosibirsk) { {-9223372036854775808 19900 0 LMT} - {-1579476700 21600 0 NOVT} - {-1247551200 25200 0 NOVMMTT} - {354906000 28800 1 NOVST} - {370713600 25200 0 NOVT} - {386442000 28800 1 NOVST} - {402249600 25200 0 NOVT} - {417978000 28800 1 NOVST} - {433785600 25200 0 NOVT} - {449600400 28800 1 NOVST} - {465332400 25200 0 NOVT} - {481057200 28800 1 NOVST} - {496782000 25200 0 NOVT} - {512506800 28800 1 NOVST} - {528231600 25200 0 NOVT} - {543956400 28800 1 NOVST} - {559681200 25200 0 NOVT} - {575406000 28800 1 NOVST} - {591130800 25200 0 NOVT} - {606855600 28800 1 NOVST} - {622580400 25200 0 NOVT} - {638305200 28800 1 NOVST} - {654634800 25200 0 NOVT} - {670359600 21600 0 NOVMMTT} - {670363200 25200 1 NOVST} - {686088000 21600 0 NOVT} - {695764800 25200 0 NOVMMTT} - {701809200 28800 1 NOVST} - {717534000 25200 0 NOVT} - {733258800 28800 1 NOVST} - {738090000 25200 0 NOVST} - {748987200 21600 0 NOVT} - {764712000 25200 1 NOVST} - {780436800 21600 0 NOVT} - {796161600 25200 1 NOVST} - {811886400 21600 0 NOVT} - {828216000 25200 1 NOVST} - {846360000 21600 0 NOVT} - {859665600 25200 1 NOVST} - {877809600 21600 0 NOVT} - {891115200 25200 1 NOVST} - {909259200 21600 0 NOVT} - {922564800 25200 1 NOVST} - {941313600 21600 0 NOVT} - {954014400 25200 1 NOVST} - {972763200 21600 0 NOVT} - {985464000 25200 1 NOVST} - {1004212800 21600 0 NOVT} - {1017518400 25200 1 NOVST} - {1035662400 21600 0 NOVT} - {1048968000 25200 1 NOVST} - {1067112000 21600 0 NOVT} - {1080417600 25200 1 NOVST} - {1099166400 21600 0 NOVT} - {1111867200 25200 1 NOVST} - {1130616000 21600 0 NOVT} - {1143316800 25200 1 NOVST} - {1162065600 21600 0 NOVT} - {1174766400 25200 1 NOVST} - {1193515200 21600 0 NOVT} - {1206820800 25200 1 NOVST} - {1224964800 21600 0 NOVT} - {1238270400 25200 1 NOVST} - {1256414400 21600 0 NOVT} - {1269720000 25200 1 NOVST} - {1288468800 21600 0 NOVT} - {1301169600 25200 0 NOVT} - {1414263600 21600 0 NOVT} + {-1579476700 21600 0 +06} + {-1247551200 25200 0 +08} + {354906000 28800 1 +08} + {370713600 25200 0 +07} + {386442000 28800 1 +08} + {402249600 25200 0 +07} + {417978000 28800 1 +08} + {433785600 25200 0 +07} + {449600400 28800 1 +08} + {465332400 25200 0 +07} + {481057200 28800 1 +08} + {496782000 25200 0 +07} + {512506800 28800 1 +08} + {528231600 25200 0 +07} + {543956400 28800 1 +08} + {559681200 25200 0 +07} + {575406000 28800 1 +08} + {591130800 25200 0 +07} + {606855600 28800 1 +08} + {622580400 25200 0 +07} + {638305200 28800 1 +08} + {654634800 25200 0 +07} + {670359600 21600 0 +07} + {670363200 25200 1 +07} + {686088000 21600 0 +06} + {695764800 25200 0 +08} + {701809200 28800 1 +08} + {717534000 25200 0 +07} + {733258800 28800 1 +08} + {738090000 25200 0 +07} + {748987200 21600 0 +06} + {764712000 25200 1 +07} + {780436800 21600 0 +06} + {796161600 25200 1 +07} + {811886400 21600 0 +06} + {828216000 25200 1 +07} + {846360000 21600 0 +06} + {859665600 25200 1 +07} + {877809600 21600 0 +06} + {891115200 25200 1 +07} + {909259200 21600 0 +06} + {922564800 25200 1 +07} + {941313600 21600 0 +06} + {954014400 25200 1 +07} + {972763200 21600 0 +06} + {985464000 25200 1 +07} + {1004212800 21600 0 +06} + {1017518400 25200 1 +07} + {1035662400 21600 0 +06} + {1048968000 25200 1 +07} + {1067112000 21600 0 +06} + {1080417600 25200 1 +07} + {1099166400 21600 0 +06} + {1111867200 25200 1 +07} + {1130616000 21600 0 +06} + {1143316800 25200 1 +07} + {1162065600 21600 0 +06} + {1174766400 25200 1 +07} + {1193515200 21600 0 +06} + {1206820800 25200 1 +07} + {1224964800 21600 0 +06} + {1238270400 25200 1 +07} + {1256414400 21600 0 +06} + {1269720000 25200 1 +07} + {1288468800 21600 0 +06} + {1301169600 25200 0 +07} + {1414263600 21600 0 +06} + {1469304000 25200 0 +07} } diff --git a/library/tzdata/Europe/Minsk b/library/tzdata/Europe/Minsk index 5e47063..2857e5b 100644 --- a/library/tzdata/Europe/Minsk +++ b/library/tzdata/Europe/Minsk @@ -30,10 +30,10 @@ set TZData(:Europe/Minsk) { {606870000 14400 1 MSD} {622594800 10800 0 MSK} {631141200 10800 0 MSK} - {670374000 10800 1 EEST} + {670374000 7200 0 EEMMTT} + {670377600 10800 1 EEST} {686102400 7200 0 EET} - {701820000 10800 1 EEST} - {717544800 10800 0 EEST} + {701827200 10800 1 EEST} {717552000 7200 0 EET} {733276800 10800 1 EEST} {749001600 7200 0 EET} diff --git a/library/tzdata/Indian/Kerguelen b/library/tzdata/Indian/Kerguelen index b41b85a..8820010 100644 --- a/library/tzdata/Indian/Kerguelen +++ b/library/tzdata/Indian/Kerguelen @@ -1,6 +1,6 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Indian/Kerguelen) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-631152000 18000 0 TFT} } -- cgit v0.12 From b158cee02890bb3c7bfc278400fd93b16fa35490 Mon Sep 17 00:00:00 2001 From: dkf Date: Tue, 12 Jul 2016 21:25:27 +0000 Subject: [3606388] Make variable-related tests work on their own. --- tests/set-old.test | 4 +- tests/set.test | 113 +++++++++++++++++++++++++++++++++-------------------- tests/var.test | 46 +++++++++++++++------- 3 files changed, 105 insertions(+), 58 deletions(-) diff --git a/tests/set-old.test b/tests/set-old.test index 94b6901..1c68f91 100644 --- a/tests/set-old.test +++ b/tests/set-old.test @@ -14,7 +14,7 @@ # of this file, and for a DISCLAIMER OF ALL WARRANTIES. if {[lsearch [namespace children] ::tcltest] == -1} { - package require tcltest + package require tcltest 2 namespace import -force ::tcltest::* } @@ -865,6 +865,8 @@ test set-old-10.13 {array enumeration errors} { list [catch {array done a b c} msg] $msg } {1 {wrong # args: should be "array donesearch arrayName searchId"}} test set-old-10.14 {array enumeration errors} { + catch {unset a} + set a(a) a list [catch {array done a b} msg] $msg } {1 {illegal search identifier "b"}} test set-old-10.15 {array enumeration errors} { diff --git a/tests/set.test b/tests/set.test index 18119f5..374ff7a 100644 --- a/tests/set.test +++ b/tests/set.test @@ -22,7 +22,7 @@ testConstraint testset2 [llength [info commands testset2]] catch {unset x} catch {unset i} - + test set-1.1 {TclCompileSetCmd: missing variable name} { list [catch {set} msg] $msg } {1 {wrong # args: should be "set varName ?newValue?"}} @@ -39,16 +39,18 @@ test set-1.4 {TclCompileSetCmd: simple variable name in quotes} { set i 17 list [set "i"] $i } {17 17} -test set-1.5 {TclCompileSetCmd: simple variable name in braces} { +test set-1.5 {TclCompileSetCmd: simple variable name in braces} -setup { catch {unset {a simple var}} +} -body { set {a simple var} 27 list [set {a simple var}] ${a simple var} -} {27 27} -test set-1.6 {TclCompileSetCmd: simple array variable name} { +} -result {27 27} +test set-1.6 {TclCompileSetCmd: simple array variable name} -setup { catch {unset a} +} -body { set a(foo) 37 list [set a(foo)] $a(foo) -} {37 37} +} -result {37 37} test set-1.7 {TclCompileSetCmd: non-simple (computed) variable name} { set x "i" set i 77 @@ -149,22 +151,24 @@ test set-1.14 {TclCompileSetCmd: simple local name, >255 locals} { } 260locals } {1234} -test set-1.15 {TclCompileSetCmd: variable is array} { +test set-1.15 {TclCompileSetCmd: variable is array} -setup { catch {unset a} +} -body { set x 27 set x [set a(foo) 11] catch {unset a} set x -} 11 -test set-1.16 {TclCompileSetCmd: variable is array, elem substitutions} { +} -result 11 +test set-1.16 {TclCompileSetCmd: variable is array, elem substitutions} -setup { catch {unset a} +} -body { set i 5 set x 789 set a(foo5) 27 set x [set a(foo$i)] catch {unset a} set x -} 27 +} -result 27 test set-1.17 {TclCompileSetCmd: doing assignment, simple int} { set i 5 @@ -211,7 +215,7 @@ test set-1.25 {TclCompileSetCmd: var is array, braced (no subs)} { test set-1.26 {TclCompileSetCmd: various array constructs} { # Test all kinds of array constructs that TclCompileSetCmd # may feel inclined to tamper with. - proc p {} { + apply {{} { set a x set be(hej) 1 ; # hej set be($a) 1 ; # x @@ -230,28 +234,33 @@ test set-1.26 {TclCompileSetCmd: various array constructs} { set [string range bet 0 1](foo) 1 ; # foo set be([set be(a:$a)][set b\e($a)]) 1 ; # 51 return [lsort [array names be]] - } - p + }} } [lsort {hej x $a x,hej x,x c(x ww a:x hej,1,hej hug {a a} {x ,ugg,hej} x,h"ej {b c} foo 51}]; # " just a matching end quote -test set-2.1 {set command: runtime error, bad variable name} { +test set-2.1 {set command: runtime error, bad variable name} -setup { unset -nocomplain {"foo} +} -body { list [catch {set {"foo}} msg] $msg $::errorInfo -} {1 {can't read ""foo": no such variable} {can't read ""foo": no such variable +} -result {1 {can't read ""foo": no such variable} {can't read ""foo": no such variable while executing "set {"foo}"}} -test set-2.2 {set command: runtime error, not array variable} { - catch {unset b} +# Stop my editor highlighter " from being confused +test set-2.2 {set command: runtime error, not array variable} -setup { + unset -nocomplain b +} -body { set b 44 list [catch {set b(123)} msg] $msg -} {1 {can't read "b(123)": variable isn't array}} -test set-2.3 {set command: runtime error, errors in reading variables} { - catch {unset a} +} -result {1 {can't read "b(123)": variable isn't array}} +test set-2.3 {set command: runtime error, errors in reading variables} -setup { + unset -nocomplain a +} -body { set a(6) 44 list [catch {set a(18)} msg] $msg -} {1 {can't read "a(18)": no such element in array}} -test set-2.4 {set command: runtime error, readonly variable} -body { +} -result {1 {can't read "a(18)": no such element in array}} +test set-2.4 {set command: runtime error, readonly variable} -setup { + unset -nocomplain x +} -body { proc readonly args {error "variable is read-only"} set x 123 trace var x w readonly @@ -260,12 +269,18 @@ test set-2.4 {set command: runtime error, readonly variable} -body { while executing * "set x 1"}} -test set-2.5 {set command: runtime error, basic array operations} { +test set-2.5 {set command: runtime error, basic array operations} -setup { + unset -nocomplain a +} -body { + array set a {} list [catch {set a(other)} msg] $msg -} {1 {can't read "a(other)": no such element in array}} -test set-2.6 {set command: runtime error, basic array operations} { +} -result {1 {can't read "a(other)": no such element in array}} +test set-2.6 {set command: runtime error, basic array operations} -setup { + unset -nocomplain a +} -body { + array set a {} list [catch {set a} msg] $msg -} {1 {can't read "a": variable is array}} +} -result {1 {can't read "a": variable is array}} # Test the uncompiled version of set @@ -479,25 +494,29 @@ test set-3.24 {uncompiled set command: too many arguments} { $z msg } {wrong # args: should be "set varName ?newValue?"} -test set-4.1 {uncompiled set command: runtime error, bad variable name} { +test set-4.1 {uncompiled set command: runtime error, bad variable name} -setup { unset -nocomplain {"foo} +} -body { set z set list [catch {$z {"foo}} msg] $msg $::errorInfo -} {1 {can't read ""foo": no such variable} {can't read ""foo": no such variable +} -result {1 {can't read ""foo": no such variable} {can't read ""foo": no such variable while executing "$z {"foo}"}} -test set-4.2 {uncompiled set command: runtime error, not array variable} { - set z set +# Stop my editor highlighter " from being confused +test set-4.2 {uncompiled set command: runtime error, not array variable} -setup { catch {unset b} +} -body { + set z set $z b 44 list [catch {$z b(123)} msg] $msg -} {1 {can't read "b(123)": variable isn't array}} -test set-4.3 {uncompiled set command: runtime error, errors in reading variables} { - set z set - catch {unset a} +} -result {1 {can't read "b(123)": variable isn't array}} +test set-4.3 {uncompiled set command: runtime error, errors in reading variables} -setup { + catch {unset a} +} -body { + set z set $z a(6) 44 list [catch {$z a(18)} msg] $msg -} {1 {can't read "a(18)": no such element in array}} +} -result {1 {can't read "a(18)": no such element in array}} test set-4.4 {uncompiled set command: runtime error, readonly variable} -body { set z set proc readonly args {error "variable is read-only"} @@ -508,27 +527,33 @@ test set-4.4 {uncompiled set command: runtime error, readonly variable} -body { while executing * "$z x 1"}} -test set-4.5 {uncompiled set command: runtime error, basic array operations} { +test set-4.5 {uncompiled set command: runtime error, basic array operations} -setup { + unset -nocomplain a + array set a {} +} -body { set z set list [catch {$z a(other)} msg] $msg -} {1 {can't read "a(other)": no such element in array}} -test set-4.6 {set command: runtime error, basic array operations} { +} -result {1 {can't read "a(other)": no such element in array}} +test set-4.6 {set command: runtime error, basic array operations} -setup { + unset -nocomplain a + array set a {} +} -body { set z set list [catch {$z a} msg] $msg -} {1 {can't read "a": variable is array}} +} -result {1 {can't read "a": variable is array}} -test set-5.1 {error on malformed array name} testset2 { +test set-5.1 {error on malformed array name} -constraints testset2 -setup { unset -nocomplain z +} -body { catch {testset2 z(a) b} msg catch {testset2 z(b) a} msg1 list $msg $msg1 -} {{can't read "z(a)(b)": variable isn't array} {can't read "z(b)(a)": variable isn't array}} - +} -result {{can't read "z(a)(b)": variable isn't array} {can't read "z(b)(a)": variable isn't array}} # In a mem-debug build, this test will crash unless Bug 3602706 is fixed. test set-5.2 {Bug 3602706} -body { testset2 ::tcl_platform not-in-there } -returnCodes error -result * -match glob - + # cleanup catch {unset a} catch {unset b} @@ -537,3 +562,7 @@ catch {unset x} catch {unset z} ::tcltest::cleanupTests return + +# Local Variables: +# mode: tcl +# End: diff --git a/tests/var.test b/tests/var.test index b6b09fd..690bd10 100644 --- a/tests/var.test +++ b/tests/var.test @@ -44,10 +44,12 @@ test var-1.1 {TclLookupVar, Array handling} -setup { set arr(foo) 37 list [$x i] $i [$x arr(foo)] $arr(foo) } -result {11 11 38 38} +set ::x "global value" +namespace eval test_ns_var { + variable x "namespace value" +} test var-1.2 {TclLookupVar, TCL_GLOBAL_ONLY implies global namespace var} { - set x "global value" namespace eval test_ns_var { - variable x "namespace value" proc p {} { global x ;# specifies TCL_GLOBAL_ONLY to get global x return $x @@ -261,6 +263,7 @@ test var-3.7 {MakeUpvar, my var has ::s} -setup { } } -result {789789} test var-3.8 {MakeUpvar, my var already exists in global ns} -setup { + upvar #0 aaaaa xxxxx catch {unset aaaaa} catch {unset xxxxx} } -body { @@ -274,6 +277,8 @@ test var-3.9 {MakeUpvar, my var has invalid ns name} -setup { } -returnCodes error -body { set aaaaa 789789 upvar #0 aaaaa test_ns_fred::lnk +} -cleanup { + unset ::aaaaa } -result {can't create "test_ns_fred::lnk": parent namespace doesn't exist} test var-3.10 {MakeUpvar, between namespaces} -body { namespace eval {} { @@ -282,8 +287,6 @@ test var-3.10 {MakeUpvar, between namespaces} -body { set foo::bar 1 list $bar $foo::bar } -} -cleanup { - unset ::aaaaa } -result {1 1} test var-3.11 {MakeUpvar, my var looks like array elem} -setup { catch {unset aaaaa} @@ -322,9 +325,11 @@ test var-5.2 {Tcl_GetVariableFullName, namespace variable} { namespace which -variable martha } } {::test_ns_var::martha} -test var-5.3 {Tcl_GetVariableFullName, namespace variable} { +test var-5.3 {Tcl_GetVariableFullName, namespace variable} -setup { + namespace eval test_ns_var {variable martha} +} -body { namespace which -variable test_ns_var::martha -} {::test_ns_var::martha} +} -result {::test_ns_var::martha} test var-6.1 {Tcl_GlobalObjCmd, variable is qualified by a namespace name} { namespace eval test_ns_var { @@ -348,6 +353,7 @@ test var-6.2 {Tcl_GlobalObjCmd, variable is qualified by a namespace name} { test_ns_var::p } {java} test var-6.3 {Tcl_GlobalObjCmd, variable named {} qualified by a namespace name} { + namespace eval ::test_ns_var::test_ns_nested {} set ::test_ns_var::test_ns_nested:: 24 apply {{} { global ::test_ns_var::test_ns_nested:: @@ -389,20 +395,26 @@ test var-7.2 {Tcl_VariableObjCmd, if new and no value, leave undefined} { } list [info exists test_ns_var::two] [catch {set test_ns_var::two} msg] $msg } {0 1 {can't read "test_ns_var::two": no such variable}} -test var-7.3 {Tcl_VariableObjCmd, "define" var already created above} { +test var-7.3 {Tcl_VariableObjCmd, "define" var already created above} -setup { + catch {namespace delete test_ns_var} + namespace eval test_ns_var {variable one 1} +} -body { namespace eval test_ns_var { variable two 2 } list [lsort [info vars test_ns_var::*]] \ [namespace eval test_ns_var {set two}] -} [list [lsort {::test_ns_var::two ::test_ns_var::one}] 2] -test var-7.4 {Tcl_VariableObjCmd, list of vars} { +} -result [list [lsort {::test_ns_var::two ::test_ns_var::one}] 2] +test var-7.4 {Tcl_VariableObjCmd, list of vars} -setup { + catch {namespace delete test_ns_var} + namespace eval test_ns_var {variable one 1; variable two 2} +} -body { namespace eval test_ns_var { variable three 3 four 4 } list [lsort [info vars test_ns_var::*]] \ [namespace eval test_ns_var {expr $three+$four}] -} [list [lsort {::test_ns_var::four ::test_ns_var::three ::test_ns_var::two ::test_ns_var::one}] 7] +} -result [list [lsort {::test_ns_var::four ::test_ns_var::three ::test_ns_var::two ::test_ns_var::one}] 7] test var-7.5 {Tcl_VariableObjCmd, value for last var is optional} -setup { catch {unset a} catch {unset five} @@ -476,7 +488,9 @@ test var-7.9 {Tcl_VariableObjCmd, mark as namespace var so var persists until na [lsort {::test_ns_var2::x ::test_ns_var2::z}] 0 0\ {1 {can't unset "test_ns_var2::z": no such variable}}\ {}] -test var-7.10 {Tcl_VariableObjCmd, variable cmd inside proc creates local link var} { +test var-7.10 {Tcl_VariableObjCmd, variable cmd inside proc creates local link var} -setup { + namespace eval test_ns_var { variable eight 8 } +} -body { namespace eval test_ns_var { proc p {} { variable eight @@ -484,14 +498,16 @@ test var-7.10 {Tcl_VariableObjCmd, variable cmd inside proc creates local link v } p } -} {8 eight} -test var-7.11 {Tcl_VariableObjCmd, variable cmd inside proc creates local link var} { +} -result {8 eight} +test var-7.11 {Tcl_VariableObjCmd, variable cmd inside proc creates local link var} -setup { + namespace eval test_ns_var { variable eight 8 } +} -body { proc p {} { ;# note this proc is at global :: scope variable test_ns_var::eight list [set eight] [info vars] } p -} {8 eight} +} -result {8 eight} test var-7.12 {Tcl_VariableObjCmd, variable cmd inside proc creates local link var} { namespace eval test_ns_var { variable {} {My name is empty} @@ -774,7 +790,7 @@ test var-17.1 {TclArraySet [Bug 1669489]} -setup { test var-18.1 {array unset and unset traces: Bug 2939073} -setup { set already 0 - unset x + unset -nocomplain x } -body { array set x {e 1 i 1} trace add variable x unset {apply {args { -- cgit v0.12 From 09c67efdce34a8588ab4cb53e007e8ec603dc081 Mon Sep 17 00:00:00 2001 From: dkf Date: Tue, 12 Jul 2016 21:30:34 +0000 Subject: [3606125] Make parser-related tests work on their own. --- tests/parseOld.test | 13 ++++++++++--- 1 file changed, 10 insertions(+), 3 deletions(-) diff --git a/tests/parseOld.test b/tests/parseOld.test index a6e07a2b..504d063 100644 --- a/tests/parseOld.test +++ b/tests/parseOld.test @@ -13,7 +13,7 @@ # See the file "license.terms" for information on usage and redistribution # of this file, and for a DISCLAIMER OF ALL WARRANTIES. -package require tcltest +package require tcltest 2 namespace import ::tcltest::* ::tcltest::loadTestedCommands @@ -37,7 +37,7 @@ proc getArgs args { global argv set argv $args } - + # Basic argument parsing. test parseOld-1.1 {basic argument parsing} { @@ -296,6 +296,7 @@ test parseOld-8.4 {semi-colons} { # The following checks are to ensure that the interpreter's result # gets re-initialized by Tcl_Eval in all the right places. +set a 22 test parseOld-9.1 {result initialization} {concat abc} abc test parseOld-9.2 {result initialization} {concat abc; proc foo {} {}} {} test parseOld-9.3 {result initialization} {concat abc; proc foo {} $a} {} @@ -408,6 +409,8 @@ test parseOld-11.7 {long values} { set b [concat 1111 2222 3333 4444 5555 6666 7777 8888 9999 aaaa bbbb cccc dddd eeee ffff gggg hhhh iiii jjjj kkkk llll mmmm nnnn oooo pppp qqqq rrrr ssss tttt uuuu vvvv wwww xxxx yyyy zzzz AAAA BBBB CCCC DDDD EEEE FFFF GGGG HHHH] llength $b } 43 +# Duplicate action of previous test +llength [set b [concat 1111 2222 3333 4444 5555 6666 7777 8888 9999 aaaa bbbb cccc dddd eeee ffff gggg hhhh iiii jjjj kkkk llll mmmm nnnn oooo pppp qqqq rrrr ssss tttt uuuu vvvv wwww xxxx yyyy zzzz AAAA BBBB CCCC DDDD EEEE FFFF GGGG HHHH]] test parseOld-11.8 {long values} { set b } $a @@ -538,8 +541,12 @@ test parseOld-15.4 {TclScriptEnd procedure} { test parseOld-15.5 {TclScriptEnd procedure} { info complete "xyz \[abc" } {0} - + # cleanup set argv $savedArgv ::tcltest::cleanupTests return + +# Local Variables: +# mode: tcl +# End: -- cgit v0.12 From ab2a78be642be26075e2998347d71359a6b3c500 Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 13 Jul 2016 19:06:22 +0000 Subject: New private flag value INDEX_TEMP_TABLE. Used to signal to Tcl_GetIndexFromObj*() routines that the table in which lookups are done has a fleeting existence. Thus there is no value in caching any results, since the cache can never be useful. Improvement over existing hackery where cache is stored and then freed to avoid bogus results. Likely candidate to eventually push to the public interface. --- generic/tclFCmd.c | 10 ++-------- generic/tclIndexObj.c | 13 +++++++------ generic/tclInt.h | 9 +++++++++ 3 files changed, 18 insertions(+), 14 deletions(-) diff --git a/generic/tclFCmd.c b/generic/tclFCmd.c index bb814ea..80898fc 100644 --- a/generic/tclFCmd.c +++ b/generic/tclFCmd.c @@ -1079,12 +1079,9 @@ TclFileAttrsCmd( } if (Tcl_GetIndexFromObj(interp, objv[0], attributeStrings, - "option", 0, &index) != TCL_OK) { + "option", INDEX_TEMP_TABLE, &index) != TCL_OK) { goto end; } - if (attributeStringsAllocated != NULL) { - TclFreeIntRep(objv[0]); - } if (Tcl_FSFileAttrsGet(interp, index, filePtr, &objPtr) != TCL_OK) { goto end; @@ -1107,12 +1104,9 @@ TclFileAttrsCmd( for (i = 0; i < objc ; i += 2) { if (Tcl_GetIndexFromObj(interp, objv[i], attributeStrings, - "option", 0, &index) != TCL_OK) { + "option", INDEX_TEMP_TABLE, &index) != TCL_OK) { goto end; } - if (attributeStringsAllocated != NULL) { - TclFreeIntRep(objv[i]); - } if (i + 1 == objc) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "value for \"%s\" missing", TclGetString(objv[i]))); diff --git a/generic/tclIndexObj.c b/generic/tclIndexObj.c index 2281d22..c6873af 100644 --- a/generic/tclIndexObj.c +++ b/generic/tclIndexObj.c @@ -114,6 +114,7 @@ Tcl_GetIndexFromObj( int flags, /* 0 or TCL_EXACT */ int *indexPtr) /* Place to store resulting integer index. */ { + if (!(flags & INDEX_TEMP_TABLE)) { /* * See if there is a valid cached result from a previous lookup (doing the @@ -135,6 +136,7 @@ Tcl_GetIndexFromObj( return TCL_OK; } } + } return Tcl_GetIndexFromObjStruct(interp, objPtr, tablePtr, sizeof(char *), msg, flags, indexPtr); } @@ -211,13 +213,8 @@ GetIndexFromObjList( tablePtr[objc] = NULL; result = Tcl_GetIndexFromObjStruct(interp, objPtr, tablePtr, - sizeof(char *), msg, flags, indexPtr); - - /* - * The internal rep must be cleared since tablePtr will go away. - */ + sizeof(char *), msg, flags | INDEX_TEMP_TABLE, indexPtr); - TclFreeIntRep(objPtr); ckfree(tablePtr); return result; @@ -279,6 +276,7 @@ Tcl_GetIndexFromObjStruct( * See if there is a valid cached result from a previous lookup. */ + if (!(flags & INDEX_TEMP_TABLE)) { if (objPtr->typePtr == &indexType) { indexRep = objPtr->internalRep.twoPtrValue.ptr1; if (indexRep->tablePtr==tablePtr && indexRep->offset==offset) { @@ -286,6 +284,7 @@ Tcl_GetIndexFromObjStruct( return TCL_OK; } } + } /* * Lookup the value of the object in the table. Accept unique @@ -340,6 +339,7 @@ Tcl_GetIndexFromObjStruct( * operation. */ + if (!(flags & INDEX_TEMP_TABLE)) { if (objPtr->typePtr == &indexType) { indexRep = objPtr->internalRep.twoPtrValue.ptr1; } else { @@ -351,6 +351,7 @@ Tcl_GetIndexFromObjStruct( indexRep->tablePtr = (void *) tablePtr; indexRep->offset = offset; indexRep->index = index; + } *indexPtr = index; return TCL_OK; diff --git a/generic/tclInt.h b/generic/tclInt.h index 33476ed..4ecac7d 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -2548,6 +2548,15 @@ typedef struct TclFileAttrProcs { } TclFileAttrProcs; /* + * Private flag value which controls Tcl_GetIndexFromObj*() routines + * to instruct them not to cache lookups because the table will not + * live long enough to make it worthwhile. Must not clash with public + * flag value TCL_EXACT. + */ + +#define INDEX_TEMP_TABLE 2 + +/* * Opaque handle used in pipeline routines to encapsulate platform-dependent * state. */ -- cgit v0.12 From b91a1c74a96cb667373be1fa8b3da13dc82d071d Mon Sep 17 00:00:00 2001 From: dkf Date: Thu, 14 Jul 2016 08:05:35 +0000 Subject: Tidy up some references to INDEX_TEMP_TABLE. --- generic/tclIndexObj.c | 31 +++++++++++++------------------ 1 file changed, 13 insertions(+), 18 deletions(-) diff --git a/generic/tclIndexObj.c b/generic/tclIndexObj.c index c6873af..6a3e4e3 100644 --- a/generic/tclIndexObj.c +++ b/generic/tclIndexObj.c @@ -114,15 +114,13 @@ Tcl_GetIndexFromObj( int flags, /* 0 or TCL_EXACT */ int *indexPtr) /* Place to store resulting integer index. */ { - if (!(flags & INDEX_TEMP_TABLE)) { - /* * See if there is a valid cached result from a previous lookup (doing the * check here saves the overhead of calling Tcl_GetIndexFromObjStruct in * the common case where the result is cached). */ - if (objPtr->typePtr == &indexType) { + if (!(flags & INDEX_TEMP_TABLE) && objPtr->typePtr == &indexType) { IndexRep *indexRep = objPtr->internalRep.twoPtrValue.ptr1; /* @@ -136,7 +134,6 @@ Tcl_GetIndexFromObj( return TCL_OK; } } - } return Tcl_GetIndexFromObjStruct(interp, objPtr, tablePtr, sizeof(char *), msg, flags, indexPtr); } @@ -276,15 +273,13 @@ Tcl_GetIndexFromObjStruct( * See if there is a valid cached result from a previous lookup. */ - if (!(flags & INDEX_TEMP_TABLE)) { - if (objPtr->typePtr == &indexType) { + if (!(flags & INDEX_TEMP_TABLE) && objPtr->typePtr == &indexType) { indexRep = objPtr->internalRep.twoPtrValue.ptr1; if (indexRep->tablePtr==tablePtr && indexRep->offset==offset) { *indexPtr = indexRep->index; return TCL_OK; } } - } /* * Lookup the value of the object in the table. Accept unique @@ -340,17 +335,17 @@ Tcl_GetIndexFromObjStruct( */ if (!(flags & INDEX_TEMP_TABLE)) { - if (objPtr->typePtr == &indexType) { - indexRep = objPtr->internalRep.twoPtrValue.ptr1; - } else { - TclFreeIntRep(objPtr); - indexRep = ckalloc(sizeof(IndexRep)); - objPtr->internalRep.twoPtrValue.ptr1 = indexRep; - objPtr->typePtr = &indexType; - } - indexRep->tablePtr = (void *) tablePtr; - indexRep->offset = offset; - indexRep->index = index; + if (objPtr->typePtr == &indexType) { + indexRep = objPtr->internalRep.twoPtrValue.ptr1; + } else { + TclFreeIntRep(objPtr); + indexRep = ckalloc(sizeof(IndexRep)); + objPtr->internalRep.twoPtrValue.ptr1 = indexRep; + objPtr->typePtr = &indexType; + } + indexRep->tablePtr = (void *) tablePtr; + indexRep->offset = offset; + indexRep->index = index; } *indexPtr = index; -- cgit v0.12 From c65f04435b80a065f992d534fcd8bfc9a5a0e8ef Mon Sep 17 00:00:00 2001 From: dkf Date: Thu, 14 Jul 2016 08:31:00 +0000 Subject: [77d58e3a7a] Test case independence: chanio, cmdah, env, history. --- tests/chanio.test | 23 +++++++++++++++++++---- tests/cmdAH.test | 8 ++++++-- tests/env.test | 12 ++++++++++-- tests/history.test | 5 +++++ 4 files changed, 40 insertions(+), 8 deletions(-) diff --git a/tests/chanio.test b/tests/chanio.test index 2738fc6..29f42c3 100644 --- a/tests/chanio.test +++ b/tests/chanio.test @@ -4160,12 +4160,20 @@ test chan-io-33.4 {Tcl_Gets with long line} -setup { } -cleanup { chan close $f } -result {abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ} -test chan-io-33.5 {Tcl_Gets with long line} { +test chan-io-33.5 {Tcl_Gets with long line} -setup { + set f [open $path(test3) w] + puts -nonewline $f "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ" + puts -nonewline $f "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ" + puts -nonewline $f "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ" + puts -nonewline $f "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ" + puts $f "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ" + close $f +} -body { set f [open $path(test3)] set x [chan gets $f y] chan close $f list $x $y -} {260 abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ} +} -result {260 abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ} test chan-io-33.6 {Tcl_Gets and end of file} -setup { file delete $path(test3) set x {} @@ -6765,7 +6773,12 @@ test chan-io-52.10 {TclCopyChannel & encodings} {fcopy} { chan close $out file size $path(utf8-fcopy.txt) } 5 -test chan-io-52.11 {TclCopyChannel & encodings} {fcopy} { +test chan-io-52.11 {TclCopyChannel & encodings} -setup { + set f [open $path(utf8-fcopy.txt) w] + fconfigure $f -encoding utf-8 + puts $f "\u0410\u0410" + close $f +} -constraints {fcopy} -body { # binary to encoding => the input has to be in utf-8 to make sense to the # encoder set in [open $path(utf8-fcopy.txt) r] @@ -6777,7 +6790,9 @@ test chan-io-52.11 {TclCopyChannel & encodings} {fcopy} { chan close $in chan close $out file size $path(kyrillic.txt) -} 3 +} -cleanup { + file delete $path(utf8-fcopy.txt) +} -result 3 test chan-io-53.1 {CopyData} -setup { file delete $path(test1) diff --git a/tests/cmdAH.test b/tests/cmdAH.test index ef933cb..6418aae 100644 --- a/tests/cmdAH.test +++ b/tests/cmdAH.test @@ -141,9 +141,13 @@ test cmdAH-2.6.2 {cd} -constraints {unix nonPortable} -setup { } -cleanup { cd $dir } -result {/} -test cmdAH-2.6.3 {Tcl_CdObjCmd, bug #3118489} -returnCodes error -body { +test cmdAH-2.6.3 {Tcl_CdObjCmd, bug #3118489} -setup { + set dir [pwd] +} -returnCodes error -body { cd .\0 -} -result "couldn't change working directory to \".\0\": no such file or directory" +} -cleanup { + cd $dir +} -match glob -result "couldn't change working directory to \".\0\": *" test cmdAH-2.7 {Tcl_ConcatObjCmd} { concat } {} diff --git a/tests/env.test b/tests/env.test index 9f59fbc..0dd4f98 100644 --- a/tests/env.test +++ b/tests/env.test @@ -19,7 +19,7 @@ if {[lsearch [namespace children] ::tcltest] == -1} { # Some tests require the "exec" command. # Skip them if exec is not defined. testConstraint exec [llength [info commands exec]] - + # # These tests will run on any platform (and indeed crashed on the Mac). So put # them before you test for the existance of exec. @@ -147,6 +147,7 @@ test env-2.2 {adding environment variables} -setup { } -result {NAME1=test string} test env-2.3 {adding environment variables} -setup { encoding system iso8859-1 + set env(NAME1) "test string" } -constraints {exec} -body { set env(NAME2) "more" getenv @@ -156,6 +157,8 @@ test env-2.3 {adding environment variables} -setup { NAME2=more} test env-2.4 {adding environment variables} -setup { encoding system iso8859-1 + set env(NAME1) "test string" + set env(NAME2) "more" } -constraints {exec} -body { set env(XYZZY) "garbage" getenv @@ -165,7 +168,9 @@ test env-2.4 {adding environment variables} -setup { NAME2=more XYZZY=garbage} +set env(NAME1) "test string" set env(NAME2) "new value" +set env(XYZZY) "garbage" test env-3.1 {changing environment variables} -setup { encoding system iso8859-1 } -constraints {exec} -body { @@ -177,6 +182,7 @@ test env-3.1 {changing environment variables} -setup { } -result {NAME1=test string NAME2=new value XYZZY=garbage} +unset -nocomplain env(NAME2) test env-4.1 {unsetting environment variables: default} -setup { encoding system iso8859-1 @@ -195,6 +201,7 @@ test env-4.2 {unsetting environment variables} -setup { unset env(XYZZY) encoding system $sysenc } -result {XYZZY=garbage} +unset -nocomplain env(NAME1) env(XYZZY) test env-4.3 {setting international environment variables} -setup { encoding system iso8859-1 } -constraints {exec} -body { @@ -213,6 +220,7 @@ test env-4.4 {changing international environment variables} -setup { } -result {\u00a7=\u00a7} test env-4.5 {unsetting international environment variables} -setup { encoding system iso8859-1 + set env(\ua7) \ua7 } -body { set env(\ub6) \ua7 unset env(\ua7) @@ -323,7 +331,7 @@ test env-7.3 {[9b4702]: testing existence of env(some_thing) should not destroy return [info exists ::env(test7_3)] }} } -result 1 - + # Restore the environment variables at the end of the test. foreach name [array names env] { diff --git a/tests/history.test b/tests/history.test index c562796..7549beb 100644 --- a/tests/history.test +++ b/tests/history.test @@ -233,6 +233,7 @@ if {[testConstraint history]} { test history-8.1 {clear option} history {catch {history clear junk}} 1 test history-8.2 {clear option} history {history clear} {} if {[testConstraint history]} { + history clear history add "Testing" } test history-8.3 {clear option} history {history} { 1 Testing} @@ -248,3 +249,7 @@ test history-9.2 {miscellaneous} history { # cleanup ::tcltest::cleanupTests return + +# Local Variables: +# mode: tcl +# End: -- cgit v0.12 From 18d118050e87e9f2665c7da4358836e37dbd7a0f Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 14 Jul 2016 14:40:37 +0000 Subject: New test demonstrates memleak discovered by Rolf Ade. --- tests/var.test | 30 ++++++++++++++++++++++-------- 1 file changed, 22 insertions(+), 8 deletions(-) diff --git a/tests/var.test b/tests/var.test index e223f6e..803bbda 100644 --- a/tests/var.test +++ b/tests/var.test @@ -26,6 +26,21 @@ testConstraint testupvar [llength [info commands testupvar]] testConstraint testgetvarfullname [llength [info commands testgetvarfullname]] testConstraint testsetnoerr [llength [info commands testsetnoerr]] testConstraint memory [llength [info commands memory]] +if {[testConstraint memory]} { + proc getbytes {} { + return [lindex [split [memory info] \n] 3 3] + } + proc leaktest {script {iterations 3}} { + set end [getbytes] + for {set i 0} {$i < $iterations} {incr i} { + uplevel 1 $script + set tmp $end + set end [getbytes] + } + return [expr {$end - $tmp}] + } +} + catch {rename p ""} catch {namespace delete test_ns_var} @@ -912,9 +927,6 @@ test var-21.0 {PushVarNameWord OBOE in compiled unset} -setup { } -result 1 test var-22.0 {leak in array element unset: Bug a3309d01db} -setup { - proc getbytes {} { - lindex [split [memory info] \n] 3 3 - } proc doit k { variable A set A($k) {} @@ -934,13 +946,9 @@ test var-22.0 {leak in array element unset: Bug a3309d01db} -setup { set leakedBytes [expr {$end - $tmp}] } -cleanup { array unset A - rename getbytes {} rename doit {} } -result 0 test var-22.1 {leak in localVarName intrep: Bug 80304238ac} -setup { - proc getbytes {} { - lindex [split [memory info] \n] 3 3 - } proc doit {} { interp create slave slave eval { @@ -962,15 +970,21 @@ test var-22.1 {leak in localVarName intrep: Bug 80304238ac} -setup { set leakedBytes [expr {$end - $tmp}] } -cleanup { array unset A - rename getbytes {} rename doit {} } -result 0 +test var-22.2 {leak in parsedVarName} -constraints memory -body { + set i 0 + leaktest {lappend x($i)} +} -cleanup { + unset -nocomplain i x +} -result 0 catch {namespace delete ns} catch {unset arr} catch {unset v} +catch {rename getbytes ""} catch {rename p ""} catch {namespace delete test_ns_var} catch {namespace delete test_ns_var2} -- cgit v0.12 From 35eb3535af4c4a03667bbf2b4fcde538d5e875fe Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 14 Jul 2016 15:17:58 +0000 Subject: Plug memory leak created in recent variable Tcl_ObjType reform. --- generic/tclVar.c | 9 +-------- 1 file changed, 1 insertion(+), 8 deletions(-) diff --git a/generic/tclVar.c b/generic/tclVar.c index a9bedd7..091baf8 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -577,11 +577,7 @@ TclObjLookupVarEx( } return NULL; } - if ((part2Ptr = part1Ptr->internalRep.twoPtrValue.ptr2)) { - if (createPart2) { - Tcl_IncrRefCount(part2Ptr); - } - } + part2Ptr = part1Ptr->internalRep.twoPtrValue.ptr2; part1Ptr = part1Ptr->internalRep.twoPtrValue.ptr1; typePtr = part1Ptr->typePtr; if (typePtr == &localVarNameType) { @@ -622,9 +618,6 @@ TclObjLookupVarEx( len1 = i; part2Ptr = Tcl_NewStringObj(part2, len2); - if (createPart2) { - Tcl_IncrRefCount(part2Ptr); - } /* * Free the internal rep of the original part1Ptr, now renamed -- cgit v0.12 From 10f81d78ff4d5f5931412700726ce05d14d02fad Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 14 Jul 2016 17:58:45 +0000 Subject: Stop checking case that can never happen. --- generic/tclNamesp.c | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/generic/tclNamesp.c b/generic/tclNamesp.c index 5930859..1fef919 100644 --- a/generic/tclNamesp.c +++ b/generic/tclNamesp.c @@ -2883,9 +2883,9 @@ GetNamespaceFromObj( resNamePtr = objPtr->internalRep.twoPtrValue.ptr1; nsPtr = resNamePtr->nsPtr; refNsPtr = resNamePtr->refNsPtr; - if (!(nsPtr->flags & NS_DYING) && (interp == nsPtr->interp) && - (!refNsPtr || ((interp == refNsPtr->interp) && - (refNsPtr== (Namespace *) Tcl_GetCurrentNamespace(interp))))){ + if (!(nsPtr->flags & NS_DYING) && (interp == nsPtr->interp) + && (!refNsPtr || (refNsPtr == + (Namespace *) TclGetCurrentNamespace(interp)))) { *nsPtrPtr = (Tcl_Namespace *) nsPtr; return TCL_OK; } @@ -4779,7 +4779,7 @@ SetNsNameFromAny( if ((name[0] == ':') && (name[1] == ':')) { resNamePtr->refNsPtr = NULL; } else { - resNamePtr->refNsPtr = (Namespace *) Tcl_GetCurrentNamespace(interp); + resNamePtr->refNsPtr = (Namespace *) TclGetCurrentNamespace(interp); } resNamePtr->refCount = 1; TclFreeIntRep(objPtr); -- cgit v0.12 From b136b0307e6b079262352c8541c019519fb34f6e Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 15 Jul 2016 02:33:11 +0000 Subject: One of the validity checks for the "cmdName" type is to see if the resolved command has been deleted by checking for the CMD_IS_DELETED flag. Only one thing sets this flag -- Tcl_DeleteCommandFromToken(), and every time it sets that flag it also bumps the cmdEpoch of the Command as well. The "cmdName" type is already validating that epoch. It gains nothing to be checking the CMD_IS_DELETED flag too. Eliminated the pointless test. --- generic/tclObj.c | 1 - 1 file changed, 1 deletion(-) diff --git a/generic/tclObj.c b/generic/tclObj.c index 0cd7839..8aaf78e 100644 --- a/generic/tclObj.c +++ b/generic/tclObj.c @@ -4156,7 +4156,6 @@ Tcl_GetCommandFromObj( register Command *cmdPtr = resPtr->cmdPtr; if ((cmdPtr->cmdEpoch == resPtr->cmdEpoch) - && !(cmdPtr->flags & CMD_IS_DELETED) && (interp == cmdPtr->nsPtr->interp) && !(cmdPtr->nsPtr->flags & NS_DYING)) { register Namespace *refNsPtr = (Namespace *) -- cgit v0.12 From 048a4d7e224034d072341b7c9c633801ca9fa19b Mon Sep 17 00:00:00 2001 From: ashok Date: Fri, 15 Jul 2016 03:12:09 +0000 Subject: Fix docs and test failures. I had rolled back .PS1 (Powershell files) as being executable without fixing tests and docs. --- doc/file.n | 2 +- tests/cmdAH.test | 7 ++++--- tests/fileName.test | 4 ++-- 3 files changed, 7 insertions(+), 6 deletions(-) diff --git a/doc/file.n b/doc/file.n index 58b03d8..2f8b70c 100644 --- a/doc/file.n +++ b/doc/file.n @@ -164,7 +164,7 @@ returns \fB/home\fR (or something similar). Returns \fB1\fR if file \fIname\fR is executable by the current user, \fB0\fR otherwise. On Windows, which does not have an executable attribute, the command treats all directories and any files with extensions -\fBexe\fR, \fBcom\fR, \fBcmd\fR, \fBbat\fR or \fBps1\fR as executable. +\fBexe\fR, \fBcom\fR, \fBcmd\fR or \fBbat\fR as executable. .TP \fBfile exists \fIname\fR . diff --git a/tests/cmdAH.test b/tests/cmdAH.test index 6418aae..b4ef605 100644 --- a/tests/cmdAH.test +++ b/tests/cmdAH.test @@ -882,9 +882,10 @@ test cmdAH-18.3 {Tcl_FileObjCmd: executable} {unix testchmod} { } 1 test cmdAH-18.5 {Tcl_FileObjCmd: executable} -constraints {win} -body { # On pc, must be a .exe, .com, etc. - set x [file exe $gorpfile] + set x {} set gorpexes {} - foreach ext {exe com cmd bat ps1} { + foreach ext {exe com cmd bat} { + lappend x [file exe nosuchfile.$ext] set gorpexe [makeFile foo gorp.$ext] lappend gorpexes $gorpexe lappend x [file exe $gorpexe] [file exe [string toupper $gorpexe]] @@ -894,7 +895,7 @@ test cmdAH-18.5 {Tcl_FileObjCmd: executable} -constraints {win} -body { foreach gorpexe $gorpexes { removeFile $gorpexe } -} -result {0 1 1 1 1 1 1 1 1 1 1} +} -result {0 1 1 0 1 1 0 1 1 0 1 1} test cmdAH-18.6 {Tcl_FileObjCmd: executable} {} { # Directories are always executable. file exe $dirfile diff --git a/tests/fileName.test b/tests/fileName.test index a19bd1e..387d844 100644 --- a/tests/fileName.test +++ b/tests/fileName.test @@ -1468,7 +1468,7 @@ if {[testConstraint testsetplatform]} { } test filename-17.2 {windows specific glob with executable} -body { makeDirectory execglob - foreach ext {exe com cmd bat ps1 notexecutable} { + foreach ext {exe com cmd bat notexecutable} { makeFile contents execglob/abc.$ext } lsort [glob -nocomplain -dir [temporaryDirectory]/execglob -tails -types x *] @@ -1477,7 +1477,7 @@ test filename-17.2 {windows specific glob with executable} -body { removeFile execglob/abc.$ext } removeDirectory execglob -} -result {abc.bat abc.cmd abc.com abc.exe abc.ps1} +} -result {abc.bat abc.cmd abc.com abc.exe} test filename-17.3 {Bug 2571597} win { set p /a file pathtype $p -- cgit v0.12 From cbd642eea303b0db3eec81529c27f2045984f22a Mon Sep 17 00:00:00 2001 From: dkf Date: Fri, 15 Jul 2016 05:39:09 +0000 Subject: [77d58e3a7a] Test case independence: interp. --- tests/interp.test | 47 +++++++++++++++++++++++++++++++++-------------- 1 file changed, 33 insertions(+), 14 deletions(-) diff --git a/tests/interp.test b/tests/interp.test index 4bc9fe2..f9c1aec 100644 --- a/tests/interp.test +++ b/tests/interp.test @@ -71,9 +71,11 @@ test interp-2.2 {basic interpreter creation} { test interp-2.3 {basic interpreter creation} { catch {interp create -safe} } 0 -test interp-2.4 {basic interpreter creation} { - list [catch {interp create a} msg] $msg -} {1 {interpreter named "a" already exists, cannot create}} +test interp-2.4 {basic interpreter creation} -setup { + catch {interp create a} +} -returnCodes error -body { + interp create a +} -result {interpreter named "a" already exists, cannot create} test interp-2.5 {basic interpreter creation} { interp create b -safe } b @@ -89,11 +91,13 @@ test interp-2.8 {basic interpreter creation} { test interp-2.9 {basic interpreter creation} { interp create -safe -- -froboz1 } -froboz1 -test interp-2.10 {basic interpreter creation} { +test interp-2.10 {basic interpreter creation} -setup { + catch {interp create a} +} -body { interp create {a x1} interp create {a x2} interp create {a x3} -safe -} {a x3} +} -result {a x3} test interp-2.11 {anonymous interps vs existing procs} { set x [interp create] regexp "interp(\[0-9]+)" $x dummy thenum @@ -140,19 +144,26 @@ test interp-3.5 {testing interp exists and interp slaves} -body { test interp-3.6 {testing interp exists and interp slaves} { interp exists } 1 -test interp-3.7 {testing interp exists and interp slaves} { +test interp-3.7 {testing interp exists and interp slaves} -setup { + catch {interp create a} +} -body { interp slaves -} a +} -result a test interp-3.8 {testing interp exists and interp slaves} -body { interp slaves a b c } -returnCodes error -result {wrong # args: should be "interp slaves ?path?"} -test interp-3.9 {testing interp exists and interp slaves} { +test interp-3.9 {testing interp exists and interp slaves} -setup { + catch {interp create a} +} -body { interp create {a a2} -safe expr {"a2" in [interp slaves a]} -} 1 -test interp-3.10 {testing interp exists and interp slaves} { +} -result 1 +test interp-3.10 {testing interp exists and interp slaves} -setup { + catch {interp create a} + catch {interp create {a a2}} +} -body { interp exists {a a2} -} 1 +} -result 1 # Part 3: Testing "interp delete" test interp-3.11 {testing interp delete} { @@ -222,6 +233,7 @@ test interp-6.3 {testing eval} { a eval {proc foo {} {expr 3 + 5}} a eval foo } 8 +catch {a eval {proc foo {} {expr 3 + 5}}} test interp-6.4 {testing eval} { interp eval a foo } 8 @@ -230,6 +242,7 @@ test interp-6.5 {testing eval} { interp eval {a x2} {proc frob {} {expr 4 * 9}} interp eval {a x2} frob } 36 +catch {interp create {a x2}} test interp-6.6 {testing eval} -returnCodes error -body { interp eval {a x2} foo } -result {invalid command name "foo"} @@ -243,9 +256,11 @@ proc in_master {args} { test interp-7.1 {testing basic alias creation} { a alias foo in_master } foo +catch {a alias foo in_master} test interp-7.2 {testing basic alias creation} { a alias bar in_master a1 a2 a3 } bar +catch {a alias bar in_master a1 a2 a3} # Test 6.3 has been deleted. test interp-7.3 {testing basic alias creation} { a alias foo @@ -476,9 +491,13 @@ test interp-13.4 {testing issafe arg checking} { } {1 {wrong # args: should be "a issafe"}} # part 14: testing interp aliases -test interp-14.1 {testing interp aliases} { - interp aliases -} "" +test interp-14.1 {testing interp aliases} -setup { + interp create abc +} -body { + interp eval abc {interp aliases} +} -cleanup { + interp delete abc +} -result "" test interp-14.2 {testing interp aliases} { catch {interp delete a} interp create a -- cgit v0.12 From 059c3bec3a774772ceff7fc2fcc5c7bf690ab8cf Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 15 Jul 2016 12:36:33 +0000 Subject: Stop using the tclCmdNameType to store failed command lookups. If we don't find a command, there's nothing to store, so better not to shimmer at all. --- generic/tclObj.c | 25 +++++++++++-------------- 1 file changed, 11 insertions(+), 14 deletions(-) diff --git a/generic/tclObj.c b/generic/tclObj.c index 8aaf78e..e335ac3 100644 --- a/generic/tclObj.c +++ b/generic/tclObj.c @@ -4152,7 +4152,7 @@ Tcl_GetCommandFromObj( */ resPtr = objPtr->internalRep.twoPtrValue.ptr1; - if ((objPtr->typePtr == &tclCmdNameType) && (resPtr != NULL)) { + if (objPtr->typePtr == &tclCmdNameType) { register Command *cmdPtr = resPtr->cmdPtr; if ((cmdPtr->cmdEpoch == resPtr->cmdEpoch) @@ -4281,7 +4281,6 @@ FreeCmdNameInternalRep( { register ResolvedCmdName *resPtr = objPtr->internalRep.twoPtrValue.ptr1; - if (resPtr != NULL) { /* * Decrement the reference count of the ResolvedCmdName structure. If * there are no more uses, free the ResolvedCmdName structure. @@ -4299,7 +4298,6 @@ FreeCmdNameInternalRep( TclCleanupCommandMacro(cmdPtr); ckfree(resPtr); } - } objPtr->typePtr = NULL; } @@ -4332,9 +4330,7 @@ DupCmdNameInternalRep( copyPtr->internalRep.twoPtrValue.ptr1 = resPtr; copyPtr->internalRep.twoPtrValue.ptr2 = NULL; - if (resPtr != NULL) { resPtr->refCount++; - } copyPtr->typePtr = &tclCmdNameType; } @@ -4387,16 +4383,23 @@ SetCmdNameFromAny( Tcl_FindCommand(interp, name, /*ns*/ NULL, /*flags*/ 0); /* + * Stop shimmering and caching nothing when we found nothing. Just + * report the failure to find the command as an error. + */ + + if (cmdPtr == NULL) { + return TCL_ERROR; + } + + /* * Free the old internalRep before setting the new one. Do this after * getting the string rep to allow the conversion code (in particular, * Tcl_GetStringFromObj) to use that old internalRep. */ - if (cmdPtr) { cmdPtr->refCount++; resPtr = objPtr->internalRep.twoPtrValue.ptr1; - if ((objPtr->typePtr == &tclCmdNameType) - && resPtr && (resPtr->refCount == 1)) { + if ((objPtr->typePtr == &tclCmdNameType) && (resPtr->refCount == 1)) { /* * Reuse the old ResolvedCmdName struct instead of freeing it */ @@ -4434,12 +4437,6 @@ SetCmdNameFromAny( resPtr->refNsId = currNsPtr->nsId; resPtr->refNsCmdEpoch = currNsPtr->cmdRefEpoch; } - } else { - TclFreeIntRep(objPtr); - objPtr->internalRep.twoPtrValue.ptr1 = NULL; - objPtr->internalRep.twoPtrValue.ptr2 = NULL; - objPtr->typePtr = &tclCmdNameType; - } return TCL_OK; } -- cgit v0.12 From ed70e9d86101ea6352b6623c9ca09ef68749abd9 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 15 Jul 2016 14:19:07 +0000 Subject: Factor the cmdName intrep setting code into common utility routine. --- generic/tclObj.c | 138 +++++++++++++++++++++++++------------------------------ 1 file changed, 63 insertions(+), 75 deletions(-) diff --git a/generic/tclObj.c b/generic/tclObj.c index e335ac3..b145d7e 100644 --- a/generic/tclObj.c +++ b/generic/tclObj.c @@ -4203,54 +4203,73 @@ Tcl_GetCommandFromObj( *---------------------------------------------------------------------- */ -void -TclSetCmdNameObj( - Tcl_Interp *interp, /* Points to interpreter containing command - * that should be cached in objPtr. */ - register Tcl_Obj *objPtr, /* Points to Tcl object to be changed to a - * CmdName object. */ - Command *cmdPtr) /* Points to Command structure that the - * CmdName object should refer to. */ +static void +SetCmdNameObj( + Tcl_Interp *interp, + Tcl_Obj *objPtr, + Command *cmdPtr, + ResolvedCmdName *resPtr) { Interp *iPtr = (Interp *) interp; - register ResolvedCmdName *resPtr; - register Namespace *currNsPtr; - const char *name; + ResolvedCmdName *fillPtr; + const char *name = TclGetString(objPtr); - if (objPtr->typePtr == &tclCmdNameType) { - return; + if (resPtr) { + fillPtr = resPtr; + } else { + fillPtr = ckalloc(sizeof(ResolvedCmdName)); + fillPtr->refCount = 1; } + fillPtr->cmdPtr = cmdPtr; cmdPtr->refCount++; - resPtr = ckalloc(sizeof(ResolvedCmdName)); - resPtr->cmdPtr = cmdPtr; - resPtr->cmdEpoch = cmdPtr->cmdEpoch; - resPtr->refCount = 1; + fillPtr->cmdEpoch = cmdPtr->cmdEpoch; - name = TclGetString(objPtr); - if ((*name++ == ':') && (*name == ':')) { + /* NOTE: relying on NULL termination here. */ + if ((name[0] == ':') && (name[1] == ':')) { /* - * The name is fully qualified: set the referring namespace to - * NULL. + * Fully qualified names always resolve to same thing. No need + * to record resolution context information. */ - resPtr->refNsPtr = NULL; + fillPtr->refNsPtr = NULL; + fillPtr->refNsId = 0; /* Will not be read */ + fillPtr->refNsCmdEpoch = 0; /* Will not be read */ } else { /* - * Get the current namespace. + * Record current state of current namespace as the resolution + * context of this command name lookup. */ + Namespace *currNsPtr = iPtr->varFramePtr->nsPtr; - currNsPtr = iPtr->varFramePtr->nsPtr; + fillPtr->refNsPtr = currNsPtr; + fillPtr->refNsId = currNsPtr->nsId; + fillPtr->refNsCmdEpoch = currNsPtr->cmdRefEpoch; + } - resPtr->refNsPtr = currNsPtr; - resPtr->refNsId = currNsPtr->nsId; - resPtr->refNsCmdEpoch = currNsPtr->cmdRefEpoch; + if (resPtr == NULL) { + TclFreeIntRep(objPtr); + + objPtr->internalRep.twoPtrValue.ptr1 = fillPtr; + objPtr->internalRep.twoPtrValue.ptr2 = NULL; + objPtr->typePtr = &tclCmdNameType; } +} - TclFreeIntRep(objPtr); - objPtr->internalRep.twoPtrValue.ptr1 = resPtr; - objPtr->internalRep.twoPtrValue.ptr2 = NULL; - objPtr->typePtr = &tclCmdNameType; +void +TclSetCmdNameObj( + Tcl_Interp *interp, /* Points to interpreter containing command + * that should be cached in objPtr. */ + register Tcl_Obj *objPtr, /* Points to Tcl object to be changed to a + * CmdName object. */ + Command *cmdPtr) /* Points to Command structure that the + * CmdName object should refer to. */ +{ + if (objPtr->typePtr == &tclCmdNameType) { + return; + } + + SetCmdNameObj(interp, objPtr, cmdPtr, NULL); } /* @@ -4360,10 +4379,8 @@ SetCmdNameFromAny( Tcl_Interp *interp, /* Used for error reporting if not NULL. */ register Tcl_Obj *objPtr) /* The object to convert. */ { - Interp *iPtr = (Interp *) interp; const char *name; register Command *cmdPtr; - Namespace *currNsPtr; register ResolvedCmdName *resPtr; if (interp == NULL) { @@ -4391,52 +4408,23 @@ SetCmdNameFromAny( return TCL_ERROR; } - /* - * Free the old internalRep before setting the new one. Do this after - * getting the string rep to allow the conversion code (in particular, - * Tcl_GetStringFromObj) to use that old internalRep. - */ - - cmdPtr->refCount++; - resPtr = objPtr->internalRep.twoPtrValue.ptr1; - if ((objPtr->typePtr == &tclCmdNameType) && (resPtr->refCount == 1)) { - /* - * Reuse the old ResolvedCmdName struct instead of freeing it - */ + resPtr = objPtr->internalRep.twoPtrValue.ptr1; + if ((objPtr->typePtr == &tclCmdNameType) && (resPtr->refCount == 1)) { + /* + * Re-use existing ResolvedCmdName struct when possible. + * Cleanup the old fields that need it. + */ - Command *oldCmdPtr = resPtr->cmdPtr; + Command *oldCmdPtr = resPtr->cmdPtr; - if (--oldCmdPtr->refCount == 0) { - TclCleanupCommandMacro(oldCmdPtr); - } - } else { - TclFreeIntRep(objPtr); - resPtr = ckalloc(sizeof(ResolvedCmdName)); - resPtr->refCount = 1; - objPtr->internalRep.twoPtrValue.ptr1 = resPtr; - objPtr->internalRep.twoPtrValue.ptr2 = NULL; - objPtr->typePtr = &tclCmdNameType; + if (--oldCmdPtr->refCount == 0) { + TclCleanupCommandMacro(oldCmdPtr); } - resPtr->cmdPtr = cmdPtr; - resPtr->cmdEpoch = cmdPtr->cmdEpoch; - if ((*name++ == ':') && (*name == ':')) { - /* - * The name is fully qualified: set the referring namespace to - * NULL. - */ - - resPtr->refNsPtr = NULL; - } else { - /* - * Get the current namespace. - */ - - currNsPtr = iPtr->varFramePtr->nsPtr; + } else { + resPtr = NULL; + } - resPtr->refNsPtr = currNsPtr; - resPtr->refNsId = currNsPtr->nsId; - resPtr->refNsCmdEpoch = currNsPtr->cmdRefEpoch; - } + SetCmdNameObj(interp, objPtr, cmdPtr, resPtr); return TCL_OK; } -- cgit v0.12 From 9cc388df3d06570e47d68f284a74f4fa26b45426 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 15 Jul 2016 14:20:34 +0000 Subject: Remove unmaintained disabled speculative code. Such things are for branches and history. --- generic/tclProc.c | 24 ------------------------ 1 file changed, 24 deletions(-) diff --git a/generic/tclProc.c b/generic/tclProc.c index 81d3b25..bed520a 100644 --- a/generic/tclProc.c +++ b/generic/tclProc.c @@ -2654,30 +2654,6 @@ TclNRApplyObjCmd( procPtr = lambdaPtr->internalRep.twoPtrValue.ptr1; } -#define JOE_EXTENSION 0 -/* - * Note: this code is NOT FUNCTIONAL due to the NR implementation; DO NOT - * ENABLE! Leaving here as reminder to (a) TIP the suggestion, and (b) adapt - * the code. (MS) - */ - -#if JOE_EXTENSION - else { - /* - * Joe English's suggestion to allow cmdNames to function as lambdas. - */ - - Tcl_Obj *elemPtr; - int numElem; - - if ((lambdaPtr->typePtr == &tclCmdNameType) || - (TclListObjGetElements(interp, lambdaPtr, &numElem, - &elemPtr) == TCL_OK && numElem == 1)) { - return Tcl_EvalObjv(interp, objc-1, objv+1, 0); - } - } -#endif - if ((procPtr == NULL) || (procPtr->iPtr != iPtr)) { result = SetLambdaFromAny(interp, lambdaPtr); if (result != TCL_OK) { -- cgit v0.12 From 9015a7b063d96172512c54d84395d2b260d4d330 Mon Sep 17 00:00:00 2001 From: dkf Date: Sat, 16 Jul 2016 11:42:38 +0000 Subject: [77d58e3a7a] Test case independence: io, load, msgcat, namespace, safe. --- tests/io.test | 16 ++++++++++++++-- tests/load.test | 54 ++++++++++++++++++++++++++++++++++------------------ tests/msgcat.test | 11 +++++++++-- tests/namespace.test | 13 ++++++++----- tests/safe.test | 20 ++++++------------- 5 files changed, 72 insertions(+), 42 deletions(-) diff --git a/tests/io.test b/tests/io.test index 6b6ad6d..9573cc6 100644 --- a/tests/io.test +++ b/tests/io.test @@ -4285,6 +4285,13 @@ test io-33.4 {Tcl_Gets with long line} { close $f set x } {abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ} +set f [open $path(test3) w] +puts -nonewline $f "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ" +puts -nonewline $f "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ" +puts -nonewline $f "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ" +puts -nonewline $f "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ" +puts $f "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ" +close $f test io-33.5 {Tcl_Gets with long line} { set f [open $path(test3)] set x [gets $f y] @@ -7141,7 +7148,12 @@ test io-52.10 {TclCopyChannel & encodings} {fcopy} { file size $path(utf8-fcopy.txt) } 5 -test io-52.11 {TclCopyChannel & encodings} {fcopy} { +test io-52.11 {TclCopyChannel & encodings} -setup { + set out [open $path(utf8-fcopy.txt) w] + fconfigure $out -encoding utf-8 -translation lf + puts $out "\u0410\u0410" + close $out +} -constraints {fcopy} -body { # binary to encoding => the input has to be # in utf-8 to make sense to the encoder @@ -7157,7 +7169,7 @@ test io-52.11 {TclCopyChannel & encodings} {fcopy} { close $out file size $path(kyrillic.txt) -} 3 +} -result 3 test io-52.12 {coverage of -translation auto} { file delete $path(test1) $path(test2) diff --git a/tests/load.test b/tests/load.test index 9536271..7c4b47f 100644 --- a/tests/load.test +++ b/tests/load.test @@ -124,9 +124,11 @@ test load-3.2 {error in _Init procedure, slave interpreter} \ test load-4.1 {reloading package into same interpreter} [list $dll $loaded] { list [catch {load [file join $testDir pkga$ext] pkga} msg] $msg } {0 {}} -test load-4.2 {reloading package into same interpreter} [list $dll $loaded] { - list [catch {load [file join $testDir pkga$ext] pkgb} msg] $msg -} [list 1 "file \"[file join $testDir pkga$ext]\" is already loaded for package \"Pkga\""] +test load-4.2 {reloading package into same interpreter} -setup { + catch {load [file join $testDir pkga$ext] pkga} +} -constraints [list $dll $loaded] -returnCodes error -body { + load [file join $testDir pkga$ext] pkgb +} -result "file \"[file join $testDir pkga$ext]\" is already loaded for package \"Pkga\"" test load-5.1 {file name not specified and no static package: pick default} \ [list $dll $loaded] { @@ -169,26 +171,40 @@ test load-7.3 {Tcl_StaticPackage procedure} [list teststaticpkg] { load {} More set x } {not loaded} -test load-7.4 {Tcl_StaticPackage procedure, redundant calls} \ - [list teststaticpkg $dll $loaded] { - teststaticpkg Double 0 1 - teststaticpkg Double 0 1 - info loaded - } [concat [list {{} Double} {{} More} {{} Another} {{} Test} [list [file join $testDir pkge$ext] Pkge] [list [file join $testDir pkgb$ext] Pkgb] [list [file join $testDir pkga$ext] Pkga]] $alreadyTotalLoaded] +catch {load [file join $testDir pkga$ext] pkga} +catch {load [file join $testDir pkgb$ext] pkgb} +catch {load [file join $testDir pkge$ext] pkge} +set currentRealPackages [list [list [file join $testDir pkge$ext] Pkge] [list [file join $testDir pkgb$ext] Pkgb] [list [file join $testDir pkga$ext] Pkga]] +test load-7.4 {Tcl_StaticPackage procedure, redundant calls} -setup { + teststaticpkg Test 1 0 + teststaticpkg Another 0 0 + teststaticpkg More 0 1 +} -constraints [list teststaticpkg $dll $loaded] -body { + teststaticpkg Double 0 1 + teststaticpkg Double 0 1 + info loaded +} -result [list {{} Double} {{} More} {{} Another} {{} Test} {*}$currentRealPackages {*}$alreadyTotalLoaded] +teststaticpkg Test 1 1 +teststaticpkg Another 0 1 +teststaticpkg More 0 1 +teststaticpkg Double 0 1 test load-8.1 {TclGetLoadedPackages procedure} [list teststaticpkg $dll $loaded] { - info loaded -} [concat [list {{} Double} {{} More} {{} Another} {{} Test} [list [file join $testDir pkge$ext] Pkge] [list [file join $testDir pkgb$ext] Pkgb] [list [file join $testDir pkga$ext] Pkga]] $alreadyTotalLoaded] -test load-8.2 {TclGetLoadedPackages procedure} [list teststaticpkg] { - list [catch {info loaded gorp} msg] $msg -} {1 {could not find interpreter "gorp"}} -test load-8.3 {TclGetLoadedPackages procedure} [list teststaticpkg $dll $loaded] { - list [info loaded {}] [info loaded child] -} [list [concat [list {{} Double} {{} More} {{} Another} {{} Test} [list [file join $testDir pkga$ext] Pkga]] $alreadyLoaded] [list {{} Test} [list [file join $testDir pkgb$ext] Pkgb]]] + lsort -index 1 [info loaded] +} [lsort -index 1 [list {{} Double} {{} More} {{} Another} {{} Test} {*}$currentRealPackages {*}$alreadyTotalLoaded]] +test load-8.2 {TclGetLoadedPackages procedure} -body { + info loaded gorp +} -returnCodes error -result {could not find interpreter "gorp"} +test load-8.3a {TclGetLoadedPackages procedure} [list teststaticpkg $dll $loaded] { + lsort -index 1 [info loaded {}] +} [lsort -index 1 [list {{} Double} {{} More} {{} Another} {{} Test} [list [file join $testDir pkga$ext] Pkga] [list [file join $testDir pkgb$ext] Pkgb] {*}$alreadyLoaded]] +test load-8.3b {TclGetLoadedPackages procedure} [list teststaticpkg $dll $loaded] { + lsort -index 1 [info loaded child] +} [lsort -index 1 [list {{} Test} [list [file join $testDir pkgb$ext] Pkgb]]] test load-8.4 {TclGetLoadedPackages procedure} [list $dll $loaded teststaticpkg] { load [file join $testDir pkgb$ext] pkgb - list [info loaded {}] [lsort [info commands pkgb_*]] -} [list [concat [list [list [file join $testDir pkgb$ext] Pkgb] {{} Double} {{} More} {{} Another} {{} Test} [list [file join $testDir pkga$ext] Pkga]] $alreadyLoaded] {pkgb_demo pkgb_sub pkgb_unsafe}] + list [lsort -index 1 [info loaded {}]] [lsort [info commands pkgb_*]] +} [list [lsort -index 1 [concat [list [list [file join $testDir pkgb$ext] Pkgb] {{} Double} {{} More} {{} Another} {{} Test} [list [file join $testDir pkga$ext] Pkga]] $alreadyLoaded]] {pkgb_demo pkgb_sub pkgb_unsafe}] interp delete child test load-9.1 {Tcl_StaticPackage, load already-loaded package into another interp} \ diff --git a/tests/msgcat.test b/tests/msgcat.test index 8647f9c..ae35272 100644 --- a/tests/msgcat.test +++ b/tests/msgcat.test @@ -68,6 +68,7 @@ namespace eval ::msgcat::test { set result c } } + test msgcat-0.$count [list \ locale initialization from environment variables $setVars \ ] -setup { @@ -973,7 +974,10 @@ namespace eval ::msgcat::test { } set bgerrorsaved [interp bgerror {}] interp bgerror {} [namespace code callbackproc] - + + variable locale + if {![info exist locale]} { set locale [mclocale] } + test msgcat-14.1 {invokation loadcmd} -setup { mcforgetpackage mclocale $locale @@ -1068,7 +1072,7 @@ namespace eval ::msgcat::test { mc k1 } -returnCodes 1\ -result {fail} - + interp bgerror {} $bgerrorsaved cleanupTests @@ -1076,3 +1080,6 @@ namespace eval ::msgcat::test { namespace delete ::msgcat::test return +# Local Variables: +# mode: tcl +# End: diff --git a/tests/namespace.test b/tests/namespace.test index 55505f1..de7009d 100644 --- a/tests/namespace.test +++ b/tests/namespace.test @@ -846,6 +846,7 @@ test namespace-17.1 {Tcl_FindNamespaceVar, absolute name found} -setup { set ::x } } -result {314159} +variable ::x 314159 test namespace-17.2 {Tcl_FindNamespaceVar, absolute name found} { namespace eval test_ns_1 { variable x 777 @@ -889,23 +890,25 @@ test namespace-17.6 {Tcl_FindNamespaceVar, relative name found} -setup { } -result {777} test namespace-17.7 {Tcl_FindNamespaceVar, relative name found} { namespace eval test_ns_1 { + variable x 777 unset x set x ;# must be global x now } } {314159} -test namespace-17.8 {Tcl_FindNamespaceVar, relative name not found} { +test namespace-17.8 {Tcl_FindNamespaceVar, relative name not found} -body { namespace eval test_ns_1 { - list [catch {set wuzzat} msg] $msg + set wuzzat } -} {1 {can't read "wuzzat": no such variable}} +} -returnCodes error -result {can't read "wuzzat": no such variable} test namespace-17.9 {Tcl_FindNamespaceVar, relative name and TCL_GLOBAL_ONLY} { namespace eval test_ns_1 { variable a hello } set test_ns_1::a } {hello} -test namespace-17.10 {Tcl_FindNamespaceVar, interference with cached varNames} { +test namespace-17.10 {Tcl_FindNamespaceVar, interference with cached varNames} -setup { namespace eval test_ns_1 {} +} -body { proc test_ns {} { set ::test_ns_1::a 0 } @@ -916,7 +919,7 @@ test namespace-17.10 {Tcl_FindNamespaceVar, interference with cached varNames} { namespace eval test_ns_1 set a 1 namespace delete test_ns_1 return $a -} 1 +} -result 1 catch {unset a} catch {unset x} diff --git a/tests/safe.test b/tests/safe.test index 94c1755..6c9c6c9 100644 --- a/tests/safe.test +++ b/tests/safe.test @@ -211,8 +211,8 @@ test safe-7.3 {check that safe subinterpreters work} { } {ok {} 0} # test source control on file name +set i "a" test safe-8.1 {safe source control on file} -setup { - set i "a" catch {safe::interpDelete $i} } -body { safe::interpCreate $i @@ -221,7 +221,6 @@ test safe-8.1 {safe source control on file} -setup { safe::interpDelete $i } -result {wrong # args: should be "source ?-encoding E? fileName"} test safe-8.2 {safe source control on file} -setup { - set i "a" catch {safe::interpDelete $i} } -body { safe::interpCreate $i @@ -230,7 +229,6 @@ test safe-8.2 {safe source control on file} -setup { safe::interpDelete $i } -result {wrong # args: should be "source ?-encoding E? fileName"} test safe-8.3 {safe source control on file} -setup { - set i "a" catch {safe::interpDelete $i} set log {} proc safe-test-log {str} {lappend ::log $str} @@ -245,7 +243,6 @@ test safe-8.3 {safe source control on file} -setup { safe::interpDelete $i } -result {1 {permission denied} {{ERROR for slave a : ".": is a directory}}} test safe-8.4 {safe source control on file} -setup { - set i "a" catch {safe::interpDelete $i} set log {} proc safe-test-log {str} {global log; lappend log $str} @@ -260,7 +257,6 @@ test safe-8.4 {safe source control on file} -setup { safe::interpDelete $i } -result {1 {permission denied} {{ERROR for slave a : "/abc/def": not in access_path}}} test safe-8.5 {safe source control on file} -setup { - set i "a" catch {safe::interpDelete $i} set log {} proc safe-test-log {str} {global log; lappend log $str} @@ -279,7 +275,6 @@ test safe-8.5 {safe source control on file} -setup { safe::interpDelete $i } -result [list 1 {no such file or directory} [list "ERROR for slave a : [file join [info library] blah]:no such file or directory"]] test safe-8.6 {safe source control on file} -setup { - set i "a" catch {safe::interpDelete $i} set log {} proc safe-test-log {str} {global log; lappend log $str} @@ -296,7 +291,6 @@ test safe-8.6 {safe source control on file} -setup { safe::interpDelete $i } -result [list 1 {no such file or directory} [list "ERROR for slave a : [file join [info library] blah.tcl]:no such file or directory"]] test safe-8.7 {safe source control on file} -setup { - set i "a" catch {safe::interpDelete $i} set log {} proc safe-test-log {str} {global log; lappend log $str} @@ -315,7 +309,6 @@ test safe-8.7 {safe source control on file} -setup { safe::interpDelete $i } -result [list 1 {no such file or directory} [list "ERROR for slave a : [file join [info library] xxxxxxxxxxx.tcl]:no such file or directory"]] test safe-8.8 {safe source forbids -rsrc} -setup { - set i "a" catch {safe::interpDelete $i} safe::interpCreate $i } -body { @@ -349,8 +342,8 @@ test safe-8.10 {safe source and return} -setup { removeFile $returnScript } -result ok +set i "a" test safe-9.1 {safe interps' deleteHook} -setup { - set i "a" catch {safe::interpDelete $i} set res {} } -body { @@ -365,7 +358,6 @@ test safe-9.1 {safe interps' deleteHook} -setup { list [interp eval $i exit] $res } -result {{} {arg1 arg2 a}} test safe-9.2 {safe interps' error in deleteHook} -setup { - set i "a" catch {safe::interpDelete $i} set res {} set log {} @@ -531,14 +523,14 @@ test safe-11.7.1 {testing safe encoding} -setup { } -body { catch {interp eval $i encoding convertfrom} m o dict get $o -errorinfo -} -returnCodes ok -cleanup { +} -returnCodes ok -match glob -cleanup { unset -nocomplain m o safe::interpDelete $i } -result {wrong # args: should be "encoding convertfrom ?encoding? data" while executing "encoding convertfrom" invoked from within -"::interp invokehidden interp1 encoding convertfrom" +"::interp invokehidden interp* encoding convertfrom" invoked from within "encoding convertfrom" invoked from within @@ -555,14 +547,14 @@ test safe-11.8.1 {testing safe encoding} -setup { } -body { catch {interp eval $i encoding convertto} m o dict get $o -errorinfo -} -returnCodes ok -cleanup { +} -returnCodes ok -match glob -cleanup { unset -nocomplain m o safe::interpDelete $i } -result {wrong # args: should be "encoding convertto ?encoding? data" while executing "encoding convertto" invoked from within -"::interp invokehidden interp1 encoding convertto" +"::interp invokehidden interp* encoding convertto" invoked from within "encoding convertto" invoked from within -- cgit v0.12 From 812e86e692342eea4435ae5eb01bce552c7350e2 Mon Sep 17 00:00:00 2001 From: dkf Date: Sun, 17 Jul 2016 11:56:28 +0000 Subject: [77d58e3a7a] Test case independence: unload. --- tests/tcltest.test | 7 ++- tests/unload.test | 170 +++++++++++++++++++++++++++++++++++++---------------- 2 files changed, 125 insertions(+), 52 deletions(-) diff --git a/tests/tcltest.test b/tests/tcltest.test index e66678b..728a018 100644 --- a/tests/tcltest.test +++ b/tests/tcltest.test @@ -46,6 +46,7 @@ makeFile { cd [temporaryDirectory] testConstraint exec [llength [info commands exec]] + # test -help # Child processes because -help [exit]s. test tcltest-1.1 {tcltest -help} {exec} { @@ -1824,9 +1825,13 @@ test tcltest-26.2 {Bug/RFE 1017151} -setup { ---- errorInfo: body error * ---- errorInfo(cleanup): cleanup error*} - + cleanupTests } namespace delete ::tcltest::test return + +# Local Variables: +# mode: tcl +# End: diff --git a/tests/unload.test b/tests/unload.test index 5a374c4..73f1091 100644 --- a/tests/unload.test +++ b/tests/unload.test @@ -45,6 +45,14 @@ testConstraint teststaticpkg [llength [info commands teststaticpkg]] testConstraint testsimplefilesystem \ [llength [info commands testsimplefilesystem]] +proc loadIfNotPresent {pkg args} { + global testDir ext + set loaded [lmap x [info loaded {*}$args] {lindex $x 1}] + if {[string totitle $pkg] ni $loaded} { + load [file join $testDir $pkg$ext] + } +} + # Basic tests: parameter testing... test unload-1.1 {basic errors} -returnCodes error -body { unload @@ -73,7 +81,7 @@ set pkgua_detached {} set pkgua_unloaded {} # Tests for loading/unloading in trusted (non-safe) interpreters... test unload-2.1 {basic loading of non-unloadable package, with guess for package name} [list $dll $loaded] { - load [file join $testDir pkga$ext] + loadIfNotPresent pkga list [pkga_eq abc def] [lsort [info commands pkga_*]] } {0 {pkga_eq pkga_quote}} test unload-2.2 {basic loading of unloadable package, with guess for package name} [list $dll $loaded] { @@ -82,28 +90,43 @@ test unload-2.2 {basic loading of unloadable package, with guess for package nam [pkgua_eq abc def] [lsort [info commands pkgua_*]] \ $pkgua_loaded $pkgua_detached $pkgua_unloaded } {{} {} {} {} 0 {pkgua_eq pkgua_quote} . {} {}} -test unload-2.3 {basic unloading of non-unloadable package, with guess for package name} [list $dll $loaded] { - list [catch {unload [file join $testDir pkga$ext]} msg] \ - [string map [list [file join $testDir pkga$ext] file] $msg] -} {1 {file "file" cannot be unloaded under a trusted interpreter}} -test unload-2.4 {basic unloading of unloadable package, with guess for package name} [list $dll $loaded] { +test unload-2.3 {basic unloading of non-unloadable package, with guess for package name} -setup { + loadIfNotPresent pkga +} -constraints [list $dll $loaded] -returnCodes error -match glob -body { + unload [file join $testDir pkga$ext] +} -result {file "*" cannot be unloaded under a trusted interpreter} +test unload-2.4 {basic unloading of unloadable package, with guess for package name} -setup { + loadIfNotPresent pkgua +} -constraints [list $dll $loaded] -body { list $pkgua_loaded $pkgua_detached $pkgua_unloaded \ [unload [file join $testDir pkgua$ext]] \ [info commands pkgua_*] \ $pkgua_loaded $pkgua_detached $pkgua_unloaded -} {. {} {} {} {} . . .} -test unload-2.5 {reloading of unloaded package, with guess for package name} [list $dll $loaded] { +} -result {. {} {} {} {} . . .} +test unload-2.5 {reloading of unloaded package, with guess for package name} -setup { + if {$pkgua_loaded eq ""} { + loadIfNotPresent pkgua + unload [file join $testDir pkgua$ext] + } +} -constraints [list $dll $loaded] -body { list $pkgua_loaded $pkgua_detached $pkgua_unloaded \ [load [file join $testDir pkgua$ext]] \ [pkgua_eq abc def] [lsort [info commands pkgua_*]] \ $pkgua_loaded $pkgua_detached $pkgua_unloaded -} {. . . {} 0 {pkgua_eq pkgua_quote} .. . .} -test unload-2.6 {basic unloading of re-loaded package, with guess for package name} [list $dll $loaded] { +} -result {. . . {} 0 {pkgua_eq pkgua_quote} .. . .} +test unload-2.6 {basic unloading of re-loaded package, with guess for package name} -setup { + # Establish expected state + if {$pkgua_loaded eq ""} { + loadIfNotPresent pkgua + unload [file join $testDir pkgua$ext] + load [file join $testDir pkgua$ext] + } +} -constraints [list $dll $loaded] -body { list $pkgua_loaded $pkgua_detached $pkgua_unloaded \ [unload [file join $testDir pkgua$ext]] \ [info commands pkgua_*] \ $pkgua_loaded $pkgua_detached $pkgua_unloaded -} {.. . . {} {} .. .. ..} +} -result {.. . . {} {} .. .. ..} # Tests for loading/unloading in safe interpreters... interp create -safe child @@ -127,38 +150,52 @@ test unload-3.2 {basic loading of unloadable package in a safe interpreter, with [lsort [child eval info commands pkgua_*]] \ [child eval {list $pkgua_loaded $pkgua_detached $pkgua_unloaded}] } {{{} {} {}} {} 0 {pkgua_eq pkgua_quote} {. {} {}}} -test unload-3.3 {unloading of a package that has never been loaded from a safe interpreter} \ - [list $dll $loaded] { - list [catch {unload [file join $testDir pkga$ext] {} child} msg] \ - [string map [list [file join $testDir pkga$ext] file] $msg] -} {1 {file "file" has never been loaded in this interpreter}} -test unload-3.4 {basic unloading of a non-unloadable package from a safe interpreter, with guess for package name} \ - [list $dll $loaded] { - list [catch {unload [file join $testDir pkgb$ext] {} child} msg] \ - [string map [list [file join $testDir pkgb$ext] file] $msg] -} {1 {file "file" cannot be unloaded under a safe interpreter}} -test unload-3.5 {basic unloading of an unloadable package from a safe interpreter, with guess for package name} \ - [list $dll $loaded] { +test unload-3.3 {unloading of a package that has never been loaded from a safe interpreter} -setup { + loadIfNotPresent pkga +} -constraints [list $dll $loaded] -returnCodes error -match glob -body { + unload [file join $testDir pkga$ext] {} child +} -result {file "*" has never been loaded in this interpreter} +test unload-3.4 {basic unloading of a non-unloadable package from a safe interpreter, with guess for package name} -setup { + if {[lsearch -index 1 [info loaded child] Pkgb] == -1} { + load [file join $testDir pkgb$ext] pKgB child + } +} -constraints [list $dll $loaded] -returnCodes error -match glob -body { + unload [file join $testDir pkgb$ext] {} child +} -result {file "*" cannot be unloaded under a safe interpreter} +test unload-3.5 {basic unloading of an unloadable package from a safe interpreter, with guess for package name} -setup { + if {[lsearch -index 1 [info loaded child] Pkgua] == -1} { + load [file join $testDir pkgua$ext] pkgua child + } +} -constraints [list $dll $loaded] -body { list [child eval {list $pkgua_loaded $pkgua_detached $pkgua_unloaded}] \ [unload [file join $testDir pkgua$ext] {} child] \ [child eval info commands pkgua_*] \ [child eval {list $pkgua_loaded $pkgua_detached $pkgua_unloaded}] -} {{. {} {}} {} {} {. . .}} -test unload-3.6 {reloading of unloaded package in a safe interpreter, with guess for package name} \ - [list $dll $loaded] { +} -result {{. {} {}} {} {} {. . .}} +test unload-3.6 {reloading of unloaded package in a safe interpreter, with guess for package name} -setup { + if {[child eval set pkgua_loaded] eq ""} { + load [file join $testDir pkgua$ext] {} child + unload [file join $testDir pkgua$ext] {} child + } +} -constraints [list $dll $loaded] -body { list [child eval {list $pkgua_loaded $pkgua_detached $pkgua_unloaded}] \ [load [file join $testDir pkgua$ext] {} child] \ [child eval pkgua_eq abc def] \ [lsort [child eval info commands pkgua_*]] \ [child eval {list $pkgua_loaded $pkgua_detached $pkgua_unloaded}] -} {{. . .} {} 0 {pkgua_eq pkgua_quote} {.. . .}} -test unload-3.7 {basic unloading of re-loaded package from a safe interpreter, with package name conversion} \ - [list $dll $loaded] { +} -result {{. . .} {} 0 {pkgua_eq pkgua_quote} {.. . .}} +test unload-3.7 {basic unloading of re-loaded package from a safe interpreter, with package name conversion} -setup { + if {[child eval set pkgua_loaded] eq ""} { + load [file join $testDir pkgua$ext] {} child + unload [file join $testDir pkgua$ext] {} child + load [file join $testDir pkgua$ext] {} child + } +} -constraints [list $dll $loaded] -body { list [child eval {list $pkgua_loaded $pkgua_detached $pkgua_unloaded}] \ [unload [file join $testDir pkgua$ext] pKgUa child] \ [child eval info commands pkgua_*] \ [child eval {list $pkgua_loaded $pkgua_detached $pkgua_unloaded}] -} {{.. . .} {} {} {.. .. ..}} +} -result {{.. . .} {} {} {.. .. ..}} # Tests for loading/unloading of a package among multiple interpreters... interp create child-trusted @@ -167,56 +204,89 @@ child-trusted eval { set pkgua_detached {} set pkgua_unloaded {} } +array set load {M 0 C 0 T 0} ## Load package in main trusted interpreter... -test unload-4.1 {loading of unloadable package in trusted interpreter, with guess for package name} \ - [list $dll $loaded] { +test unload-4.1 {loading of unloadable package in trusted interpreter, with guess for package name} -setup { + set pkgua_loaded "" + set pkgua_detached "" + set pkgua_unloaded "" + incr load(M) +} -constraints [list $dll $loaded] -body { list [list $pkgua_loaded $pkgua_detached $pkgua_unloaded] \ [load [file join $testDir pkgua$ext]] \ [pkgua_eq abc def] [lsort [info commands pkgua_*]] \ [list $pkgua_loaded $pkgua_detached $pkgua_unloaded] -} {{.. .. ..} {} 0 {pkgua_eq pkgua_quote} {... .. ..}} +} -result {{{} {} {}} {} 0 {pkgua_eq pkgua_quote} {. {} {}}} ## Load package in child-safe interpreter... -test unload-4.2 {basic loading of unloadable package in a safe interpreter, with package name conversion} \ - [list $dll $loaded] { +test unload-4.2 {basic loading of unloadable package in a safe interpreter, with package name conversion} -setup { + child eval { + set pkgua_loaded "" + set pkgua_detached "" + set pkgua_unloaded "" + } + incr load(C) +} -constraints [list $dll $loaded] -body { list [child eval {list $pkgua_loaded $pkgua_detached $pkgua_unloaded}] \ [load [file join $testDir pkgua$ext] pKgUA child] \ [child eval pkgua_eq abc def] \ [lsort [child eval info commands pkgua_*]] \ [child eval {list $pkgua_loaded $pkgua_detached $pkgua_unloaded}] -} {{.. .. ..} {} 0 {pkgua_eq pkgua_quote} {... .. ..}} +} -result {{{} {} {}} {} 0 {pkgua_eq pkgua_quote} {. {} {}}} ## Load package in child-trusted interpreter... -test unload-4.3 {basic loading of unloadable package in a second trusted interpreter, with package name conversion} \ - [list $dll $loaded] { +test unload-4.3 {basic loading of unloadable package in a second trusted interpreter, with package name conversion} -setup { + incr load(T) +} -constraints [list $dll $loaded] -body { list [child-trusted eval {list $pkgua_loaded $pkgua_detached $pkgua_unloaded}] \ [load [file join $testDir pkgua$ext] pkguA child-trusted] \ [child-trusted eval pkgua_eq abc def] \ [lsort [child-trusted eval info commands pkgua_*]] \ [child-trusted eval {list $pkgua_loaded $pkgua_detached $pkgua_unloaded}] -} {{{} {} {}} {} 0 {pkgua_eq pkgua_quote} {. {} {}}} +} -result {{{} {} {}} {} 0 {pkgua_eq pkgua_quote} {. {} {}}} ## Unload the package from the main trusted interpreter... -test unload-4.4 {basic unloading of unloadable package from trusted interpreter, with guess for package name} \ - [list $dll $loaded] { +test unload-4.4 {basic unloading of unloadable package from trusted interpreter, with guess for package name} -setup { + if {!$load(M)} { + load [file join $testDir pkgua$ext] + } + if {!$load(C)} { + load [file join $testDir pkgua$ext] {} child + incr load(C) + } + if {!$load(T)} { + load [file join $testDir pkgua$ext] {} child-trusted + incr load(T) + } +} -constraints [list $dll $loaded] -body { list [list $pkgua_loaded $pkgua_detached $pkgua_unloaded] \ [unload [file join $testDir pkgua$ext]] \ [info commands pkgua_*] \ [list $pkgua_loaded $pkgua_detached $pkgua_unloaded] -} {{... .. ..} {} {} {... ... ..}} +} -result {{. {} {}} {} {} {. . {}}} ## Unload the package from the child safe interpreter... -test unload-4.5 {basic unloading of unloadable package from a safe interpreter, with guess for package name} \ - [list $dll $loaded] { +test unload-4.5 {basic unloading of unloadable package from a safe interpreter, with guess for package name} -setup { + if {!$load(C)} { + load [file join $testDir pkgua$ext] {} child + } + if {!$load(T)} { + load [file join $testDir pkgua$ext] {} child-trusted + incr load(T) + } +} -constraints [list $dll $loaded] -body { list [child eval {list $pkgua_loaded $pkgua_detached $pkgua_unloaded}] \ [unload [file join $testDir pkgua$ext] {} child] \ [child eval info commands pkgua_*] \ [child eval {list $pkgua_loaded $pkgua_detached $pkgua_unloaded}] -} {{... .. ..} {} {} {... ... ..}} +} -result {{. {} {}} {} {} {. . {}}} ## Unload the package from the child trusted interpreter... -test unload-4.6 {basic unloading of unloadable package from a safe interpreter, with guess for package name} \ - [list $dll $loaded] { +test unload-4.6 {basic unloading of unloadable package from a safe interpreter, with guess for package name} -setup { + if {!$load(T)} { + load [file join $testDir pkgua$ext] {} child-trusted + } +} -constraints [list $dll $loaded] -body { list [child-trusted eval {list $pkgua_loaded $pkgua_detached $pkgua_unloaded}] \ [unload [file join $testDir pkgua$ext] {} child-trusted] \ [child-trusted eval info commands pkgua_*] \ [child-trusted eval {list $pkgua_loaded $pkgua_detached $pkgua_unloaded}] -} {{. {} {}} {} {} {. . .}} +} -result {{. {} {}} {} {} {. . .}} test unload-5.1 {unload a module loaded from vfs} \ -constraints [list $dll $loaded testsimplefilesystem] \ @@ -230,9 +300,7 @@ test unload-5.1 {unload a module loaded from vfs} \ list [catch {unload simplefs:/pkgua$ext} msg] $msg } \ -result {0 {}} - - - + # cleanup interp delete child interp delete child-trusted -- cgit v0.12 From 30b6493bb7a01568ed7fa236badef647b30ad038 Mon Sep 17 00:00:00 2001 From: dkf Date: Sun, 17 Jul 2016 12:02:27 +0000 Subject: [77d58e3a7a] Test case independence: var. --- tests/var.test | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/tests/var.test b/tests/var.test index 690bd10..297034a 100644 --- a/tests/var.test +++ b/tests/var.test @@ -169,7 +169,9 @@ test var-1.17 {TclLookupVar, resurrect array element via upvar to deleted array: set result } } {0 2 1 {can't set "foo": upvar refers to element in deleted array}} -test var-1.18 {TclLookupVar, resurrect array element via upvar to deleted array: uncompiled code path} { +test var-1.18 {TclLookupVar, resurrect array element via upvar to deleted array: uncompiled code path} -setup { + unset -nocomplain test_ns_var::x +} -body { namespace eval test_ns_var { variable result {} variable x @@ -181,7 +183,7 @@ test var-1.18 {TclLookupVar, resurrect array element via upvar to deleted array: namespace delete [namespace current] set result } -} {0 2 1 {can't set "foo": upvar refers to element in deleted array}} +} -result {0 2 1 {can't set "foo": upvar refers to element in deleted array}} test var-1.19 {TclLookupVar, right error message when parsing variable name} -body { [format set] thisvar(doesntexist) } -returnCodes error -result {can't read "thisvar(doesntexist)": no such variable} -- cgit v0.12 From a127a9e4aa8b2a9a386cd7fe694bfef8f1cf5264 Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 18 Jul 2016 16:26:44 +0000 Subject: [104f2885bb] Rework the "chan" Tcl_ObjType to properly validate cached channel name lookups. --- generic/tclIO.c | 161 ++++++++++++++++++++++++++------------------------------ generic/tclIO.h | 6 +-- tests/io.test | 19 +++++++ 3 files changed, 97 insertions(+), 89 deletions(-) diff --git a/generic/tclIO.c b/generic/tclIO.c index 7bc849e..615fe60 100644 --- a/generic/tclIO.c +++ b/generic/tclIO.c @@ -312,14 +312,20 @@ static int WillRead(Channel *chanPtr); && (strncmp(optionName, (nameString), len) == 0)) /* - * The ChannelObjType type. We actually store the ChannelState structure - * as that lives longest and we want to return the bottomChanPtr when - * requested (consistent with Tcl_GetChannel). The setFromAny and - * updateString can be NULL as they should not be called. + * The ChannelObjType type. Used to store the result of looking up + * a channel name in the context of an interp. Saves the lookup + * result and values needed to check its continued validity. */ +typedef struct ResolvedChanName { + ChannelState *statePtr; /* The saved lookup result */ + Tcl_Interp *interp; /* The interp in which the lookup was done. */ + int epoch; /* The epoch of the channel when the lookup + * was done. Use to verify validity. */ + int refCount; /* Share this struct among many Tcl_Obj. */ +} ResolvedChanName; + static void DupChannelIntRep(Tcl_Obj *objPtr, Tcl_Obj *copyPtr); -static int SetChannelFromAny(Tcl_Interp *interp, Tcl_Obj *objPtr); static void FreeChannelIntRep(Tcl_Obj *objPtr); static Tcl_ObjType chanObjType = { @@ -327,18 +333,9 @@ static Tcl_ObjType chanObjType = { FreeChannelIntRep, /* freeIntRepProc */ DupChannelIntRep, /* dupIntRepProc */ NULL, /* updateStringProc */ - NULL /* setFromAnyProc SetChannelFromAny */ + NULL /* setFromAnyProc */ }; -#define GET_CHANNELSTATE(objPtr) \ - ((ChannelState *) (objPtr)->internalRep.twoPtrValue.ptr1) -#define SET_CHANNELSTATE(objPtr, storePtr) \ - ((objPtr)->internalRep.twoPtrValue.ptr1 = (void *) (storePtr)) -#define GET_CHANNELINTERP(objPtr) \ - ((Tcl_Interp *) (objPtr)->internalRep.twoPtrValue.ptr2) -#define SET_CHANNELINTERP(objPtr, storePtr) \ - ((objPtr)->internalRep.twoPtrValue.ptr2 = (void *) (storePtr)) - #define BUSY_STATE(st,fl) \ ((((st)->csPtrR) && ((fl) & TCL_READABLE)) || \ (((st)->csPtrW) && ((fl) & TCL_WRITABLE))) @@ -936,7 +933,7 @@ DeleteChannelTable( */ Tcl_DeleteHashEntry(hPtr); - SetFlag(statePtr, CHANNEL_TAINTED); + statePtr->epoch++; statePtr->refCount--; if (statePtr->refCount <= 0) { if (!GotFlag(statePtr, BG_FLUSH_SCHEDULED)) { @@ -1280,7 +1277,7 @@ DetachChannel( return TCL_ERROR; } Tcl_DeleteHashEntry(hPtr); - SetFlag(statePtr, CHANNEL_TAINTED); + statePtr->epoch++; /* * Remove channel handlers that refer to this interpreter, so that @@ -1413,12 +1410,57 @@ TclGetChannelFromObj( int flags) { ChannelState *statePtr; + ResolvedChanName *resPtr = NULL; + Tcl_Channel chan; + + if (interp == NULL) { + return TCL_ERROR; + } + + if (objPtr->typePtr == &chanObjType) { + /* + * Confirm validity of saved lookup results. + */ + + resPtr = (ResolvedChanName *) objPtr->internalRep.twoPtrValue.ptr1; + statePtr = resPtr->statePtr; + if ((resPtr->interp == interp) /* Same interp context */ + /* No epoch change in channel since lookup */ + && (resPtr->epoch == statePtr->epoch)) { + + /* Have a valid saved lookup. Jump to end to return it. */ + goto valid; + } + } + + chan = Tcl_GetChannel(interp, TclGetString(objPtr), NULL); - if (SetChannelFromAny(interp, objPtr) != TCL_OK) { + if (chan == NULL) { + if (resPtr) { + FreeChannelIntRep(objPtr); + } return TCL_ERROR; } - statePtr = GET_CHANNELSTATE(objPtr); + if (resPtr && resPtr->refCount == 1) { + /* Re-use the ResolvedCmdName struct */ + Tcl_Release((ClientData) resPtr->statePtr); + + } else { + TclFreeIntRep(objPtr); + + resPtr = (ResolvedChanName *) ckalloc(sizeof(ResolvedChanName)); + resPtr->refCount = 1; + objPtr->internalRep.twoPtrValue.ptr1 = (ClientData) resPtr; + objPtr->typePtr = &chanObjType; + } + statePtr = ((Channel *)chan)->state; + resPtr->statePtr = statePtr; + Tcl_Preserve((ClientData) statePtr); + resPtr->interp = interp; + resPtr->epoch = statePtr->epoch; + + valid: *channelPtr = (Tcl_Channel) (statePtr->bottomChanPtr); if (modePtr != NULL) { @@ -1568,6 +1610,8 @@ Tcl_CreateChannel( statePtr->chanMsg = NULL; statePtr->unreportedMsg = NULL; + statePtr->epoch = 0; + /* * Link the channel into the list of all channels; create an on-exit * handler if there is not one already, to close off all the channels in @@ -10439,78 +10483,17 @@ DupChannelIntRep( register Tcl_Obj *copyPtr) /* Object with internal rep to set. Must not * currently have an internal rep.*/ { - ChannelState *statePtr = GET_CHANNELSTATE(srcPtr); + ResolvedChanName *resPtr + = (ResolvedChanName *) srcPtr->internalRep.twoPtrValue.ptr1; - SET_CHANNELSTATE(copyPtr, statePtr); - SET_CHANNELINTERP(copyPtr, GET_CHANNELINTERP(srcPtr)); - Tcl_Preserve((ClientData) statePtr); + resPtr->refCount++; + copyPtr->internalRep.twoPtrValue.ptr1 = resPtr; copyPtr->typePtr = srcPtr->typePtr; } /* *---------------------------------------------------------------------- * - * SetChannelFromAny -- - * - * Create an internal representation of type "Channel" for an object. - * - * Results: - * This operation always succeeds and returns TCL_OK. - * - * Side effects: - * Any old internal reputation for objPtr is freed and the internal - * representation is set to "Channel". - * - *---------------------------------------------------------------------- - */ - -static int -SetChannelFromAny( - Tcl_Interp *interp, /* Used for error reporting if not NULL. */ - register Tcl_Obj *objPtr) /* The object to convert. */ -{ - ChannelState *statePtr; - - if (interp == NULL) { - return TCL_ERROR; - } - if (objPtr->typePtr == &chanObjType) { - /* - * TODO: TAINT Flag and dup'd channel values? - * The channel is valid until any call to DetachChannel occurs. - * Ensure consistency checks are done. - */ - - statePtr = GET_CHANNELSTATE(objPtr); - if (GotFlag(statePtr, CHANNEL_TAINTED|CHANNEL_CLOSED)) { - ResetFlag(statePtr, CHANNEL_TAINTED); - Tcl_Release((ClientData) statePtr); - objPtr->typePtr = NULL; - } else if (interp != GET_CHANNELINTERP(objPtr)) { - Tcl_Release((ClientData) statePtr); - objPtr->typePtr = NULL; - } - } - if (objPtr->typePtr != &chanObjType) { - Tcl_Channel chan = Tcl_GetChannel(interp, TclGetString(objPtr), NULL); - - if (chan == NULL) { - return TCL_ERROR; - } - - TclFreeIntRep(objPtr); - statePtr = ((Channel *)chan)->state; - Tcl_Preserve((ClientData) statePtr); - SET_CHANNELSTATE(objPtr, statePtr); - SET_CHANNELINTERP(objPtr, interp); - objPtr->typePtr = &chanObjType; - } - return TCL_OK; -} - -/* - *---------------------------------------------------------------------- - * * FreeChannelIntRep -- * * Release statePtr storage. @@ -10528,7 +10511,15 @@ static void FreeChannelIntRep( Tcl_Obj *objPtr) /* Object with internal rep to free. */ { - Tcl_Release((ClientData) GET_CHANNELSTATE(objPtr)); + ResolvedChanName *resPtr + = (ResolvedChanName *) objPtr->internalRep.twoPtrValue.ptr1; + + objPtr->typePtr = NULL; + if (--resPtr->refCount) { + return; + } + Tcl_Release((ClientData) resPtr->statePtr); + ckfree((char *)resPtr); } #if 0 diff --git a/generic/tclIO.h b/generic/tclIO.h index 348a9c5..d096798 100644 --- a/generic/tclIO.h +++ b/generic/tclIO.h @@ -214,6 +214,8 @@ typedef struct ChannelState { * because it happened in the background. The * value is the chanMg, if any. #219's * companion to 'unreportedError'. */ + int epoch; /* Used to test validity of stored channelname + * lookup results. */ } ChannelState; /* @@ -275,10 +277,6 @@ typedef struct ChannelState { * usable, but it may not be closed * again from within the close * handler. */ -#define CHANNEL_TAINTED (1<<20) /* Channel stack structure has changed. - * Used by Channel Tcl_Obj type to - * determine if we have to revalidate - * the channel. */ /* * Local Variables: diff --git a/tests/io.test b/tests/io.test index 50c5808..7275b42 100644 --- a/tests/io.test +++ b/tests/io.test @@ -38,6 +38,7 @@ testConstraint testfevent [llength [info commands testfevent]] testConstraint testchannelevent [llength [info commands testchannelevent]] testConstraint testmainthread [llength [info commands testmainthread]] testConstraint testthread [llength [info commands testthread]] +testConstraint testobj [llength [info commands testobj]] # You need a *very* special environment to do some tests. In # particular, many file systems do not support large-files... @@ -8522,6 +8523,24 @@ test io-73.5 {effect of eof on encoding end flags} -setup { removeFile io-73.5 } -result [list 1 1 more\u00a0data 1] +test io-74.1 {[104f2885bb] improper cache validity check} -setup { + set fn [makeFile {} io-74.1] + set rfd [open $fn r] + testobj freeallvars + interp create slave +} -constraints testobj -body { + teststringobj set 1 [string range $rfd 0 end] + read [teststringobj get 1] + testobj duplicate 1 2 + interp transfer {} $rfd slave + catch {read [teststringobj get 1]} + read [teststringobj get 2] +} -cleanup { + interp delete slave + testobj freeallvars + removeFile io-74.1 +} -returnCodes error -match glob -result {can not find channel named "*"} + # ### ### ### ######### ######### ######### # cleanup -- cgit v0.12 From 3030616f91ca88f302a094e9f7388f5c7971fe3a Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 19 Jul 2016 15:00:51 +0000 Subject: Remove outdated comment. --- generic/tclVar.c | 4 ---- 1 file changed, 4 deletions(-) diff --git a/generic/tclVar.c b/generic/tclVar.c index 47c6e14..2adffbc 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -219,10 +219,6 @@ static Tcl_SetFromAnyProc PanicOnSetVarName; * or NULL if it is this same obj * twoPtrValue.ptr2: index into locals table * - * nsVarName - INTERNALREP DEFINITION: - * twoPtrValue.ptr1: pointer to the namespace containing the reference - * twoPtrValue.ptr2: pointer to the corresponding Var - * * parsedVarName - INTERNALREP DEFINITION: * twoPtrValue.ptr1: pointer to the array name Tcl_Obj, or NULL if it is a * scalar variable -- cgit v0.12 From 883ca7abcd437926de756a838f60e7574f111881 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 19 Jul 2016 19:31:28 +0000 Subject: [0363f0146c] Fix [array startsearch] id handling to support var name variations --- generic/tclInt.h | 1 - generic/tclObj.c | 1 - generic/tclVar.c | 171 ++++++++++--------------------------------------------- 3 files changed, 31 insertions(+), 142 deletions(-) diff --git a/generic/tclInt.h b/generic/tclInt.h index 4ecac7d..b39c8ea 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -2707,7 +2707,6 @@ MODULE_SCOPE const Tcl_ObjType tclListType; MODULE_SCOPE const Tcl_ObjType tclDictType; MODULE_SCOPE const Tcl_ObjType tclProcBodyType; MODULE_SCOPE const Tcl_ObjType tclStringType; -MODULE_SCOPE const Tcl_ObjType tclArraySearchType; MODULE_SCOPE const Tcl_ObjType tclEnsembleCmdType; #ifndef TCL_WIDE_INT_IS_LONG MODULE_SCOPE const Tcl_ObjType tclWideIntType; diff --git a/generic/tclObj.c b/generic/tclObj.c index b145d7e..df17f13 100644 --- a/generic/tclObj.c +++ b/generic/tclObj.c @@ -402,7 +402,6 @@ TclInitObjSubsystem(void) Tcl_RegisterObjType(&tclListType); Tcl_RegisterObjType(&tclDictType); Tcl_RegisterObjType(&tclByteCodeType); - Tcl_RegisterObjType(&tclArraySearchType); Tcl_RegisterObjType(&tclCmdNameType); Tcl_RegisterObjType(&tclRegexpType); Tcl_RegisterObjType(&tclProcBodyType); diff --git a/generic/tclVar.c b/generic/tclVar.c index 091baf8..a4f1ec5 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -149,6 +149,7 @@ static const char *isArrayElement = */ typedef struct ArraySearch { + Tcl_Obj *name; /* Name of this search */ int id; /* Integer id used to distinguish among * multiple concurrent searches for the same * array. */ @@ -188,8 +189,6 @@ static ArraySearch * ParseSearchId(Tcl_Interp *interp, const Var *varPtr, static void UnsetVarStruct(Var *varPtr, Var *arrayPtr, Interp *iPtr, Tcl_Obj *part1Ptr, Tcl_Obj *part2Ptr, int flags, int index); -static int SetArraySearchObj(Tcl_Interp *interp, - Tcl_Obj *objPtr); /* * Functions defined in this file that may be exported in the future for use @@ -235,22 +234,6 @@ static const Tcl_ObjType tclParsedVarNameType = { FreeParsedVarName, DupParsedVarName, NULL, NULL }; -/* - * Type of Tcl_Objs used to speed up array searches. - * - * INTERNALREP DEFINITION: - * twoPtrValue.ptr1: searchIdNumber (cast to pointer) - * twoPtrValue.ptr2: variableNameStartInString (cast to pointer) - * - * Note that the value stored in ptr2 is the offset into the string of the - * start of the variable name and not the address of the variable name itself, - * as this can be safely copied. - */ - -const Tcl_ObjType tclArraySearchType = { - "array search", - NULL, NULL, NULL, SetArraySearchObj -}; Var * TclVarHashCreateVar( @@ -2966,8 +2949,9 @@ ArrayStartSearchCmd( searchPtr->nextEntry = VarHashFirstEntry(varPtr->value.tablePtr, &searchPtr->search); Tcl_SetHashValue(hPtr, searchPtr); - Tcl_SetObjResult(interp, - Tcl_ObjPrintf("s-%d-%s", searchPtr->id, varName)); + searchPtr->name = Tcl_ObjPrintf("s-%d-%s", searchPtr->id, varName); + Tcl_IncrRefCount(searchPtr->name); + Tcl_SetObjResult(interp, searchPtr->name); return TCL_OK; } @@ -3291,6 +3275,7 @@ ArrayDoneSearchCmd( } } } + Tcl_DecrRefCount(searchPtr->name); ckfree(searchPtr); return TCL_OK; } @@ -4930,75 +4915,6 @@ Tcl_UpvarObjCmd( /* *---------------------------------------------------------------------- * - * SetArraySearchObj -- - * - * This function converts the given tcl object into one that has the - * "array search" internal type. - * - * Results: - * TCL_OK if the conversion succeeded, and TCL_ERROR if it failed (when - * an error message will be placed in the interpreter's result.) - * - * Side effects: - * Updates the internal type and representation of the object to make - * this an array-search object. See the tclArraySearchType declaration - * above for details of the internal representation. - * - *---------------------------------------------------------------------- - */ - -static int -SetArraySearchObj( - Tcl_Interp *interp, - Tcl_Obj *objPtr) -{ - const char *string; - char *end; /* Can't be const due to strtoul defn. */ - int id; - size_t offset; - - /* - * Get the string representation. Make it up-to-date if necessary. - */ - - string = TclGetString(objPtr); - - /* - * Parse the id into the three parts separated by dashes. - */ - - if ((string[0] != 's') || (string[1] != '-')) { - goto syntax; - } - id = strtoul(string+2, &end, 10); - if ((end == (string+2)) || (*end != '-')) { - goto syntax; - } - - /* - * Can't perform value check in this context, so place reference to place - * in string to use for the check in the object instead. - */ - - end++; - offset = end - string; - - TclFreeIntRep(objPtr); - objPtr->typePtr = &tclArraySearchType; - objPtr->internalRep.twoPtrValue.ptr1 = INT2PTR(id); - objPtr->internalRep.twoPtrValue.ptr2 = INT2PTR(offset); - return TCL_OK; - - syntax: - Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "illegal search identifier \"%s\"", string)); - Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "ARRAYSEARCH", string, NULL); - return TCL_ERROR; -} - -/* - *---------------------------------------------------------------------- - * * ParseSearchId -- * * This function translates from a tcl object to a pointer to an active @@ -5009,10 +4925,6 @@ SetArraySearchObj( * or NULL if there isn't one. If NULL is returned, the interp's result * contains an error message. * - * Side effects: - * The tcl object might have its internal type and representation - * modified. - * *---------------------------------------------------------------------- */ @@ -5028,65 +4940,43 @@ ParseSearchId( * name. */ { Interp *iPtr = (Interp *) interp; - register const char *string; - register size_t offset; - int id; ArraySearch *searchPtr; - const char *varName = TclGetString(varNamePtr); - - /* - * Parse the id. - */ - - if ((handleObj->typePtr != &tclArraySearchType) - && (SetArraySearchObj(interp, handleObj) != TCL_OK)) { - return NULL; - } - - /* - * Extract the information out of the Tcl_Obj. - */ - - id = PTR2INT(handleObj->internalRep.twoPtrValue.ptr1); - string = TclGetString(handleObj); - offset = PTR2INT(handleObj->internalRep.twoPtrValue.ptr2); - - /* - * This test cannot be placed inside the Tcl_Obj machinery, since it is - * dependent on the variable context. - */ - - if (strcmp(string+offset, varName) != 0) { - Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "search identifier \"%s\" isn't for variable \"%s\"", - string, varName)); - goto badLookup; - } - - /* - * Search through the list of active searches on the interpreter to see if - * the desired one exists. - * - * Note that we cannot store the searchPtr directly in the Tcl_Obj as that - * would run into trouble when DeleteSearches() was called so we must scan - * this list every time. - */ + const char *handle = TclGetString(handleObj); + char *end; if (varPtr->flags & VAR_SEARCH_ACTIVE) { Tcl_HashEntry *hPtr = Tcl_FindHashEntry(&iPtr->varSearches, varPtr); + /* First look for same (Tcl_Obj *) */ for (searchPtr = Tcl_GetHashValue(hPtr); searchPtr != NULL; searchPtr = searchPtr->nextPtr) { - if (searchPtr->id == id) { + if (searchPtr->name == handleObj) { return searchPtr; } } + /* Fallback: do string compares. */ + for (searchPtr = Tcl_GetHashValue(hPtr); searchPtr != NULL; + searchPtr = searchPtr->nextPtr) { + if (strcmp(TclGetString(searchPtr->name), handle) == 0) { + return searchPtr; + } + } + } + if ((handle[0] != 's') || (handle[1] != '-') + || (strtoul(handle + 2, &end, 10), end == (handle + 2)) + || (*end != '-')) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "illegal search identifier \"%s\"", handle)); + } else if (strcmp(end + 1, TclGetString(varNamePtr)) != 0) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "search identifier \"%s\" isn't for variable \"%s\"", + handle, TclGetString(varNamePtr))); + } else { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "couldn't find search \"%s\"", handle)); } - Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "couldn't find search \"%s\"", string)); - badLookup: - Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "ARRAYSEARCH", string, NULL); + Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "ARRAYSEARCH", handle, NULL); return NULL; } @@ -5121,6 +5011,7 @@ DeleteSearches( for (searchPtr = Tcl_GetHashValue(sPtr); searchPtr != NULL; searchPtr = nextPtr) { nextPtr = searchPtr->nextPtr; + Tcl_DecrRefCount(searchPtr->name); ckfree(searchPtr); } arrayVarPtr->flags &= ~VAR_SEARCH_ACTIVE; -- cgit v0.12 From 27f4a98be411aa6878d45e7e86e5c90cf2208c92 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 19 Jul 2016 19:33:35 +0000 Subject: "array search" is no longer a registered Tcl_ObjType. --- tests/obj.test | 1 - 1 file changed, 1 deletion(-) diff --git a/tests/obj.test b/tests/obj.test index 7bf00f7..a8d2d20 100644 --- a/tests/obj.test +++ b/tests/obj.test @@ -26,7 +26,6 @@ testConstraint wideBiggerThanInt [expr {wide(0x80000000) != int(0x80000000)}] test obj-1.1 {Tcl_AppendAllObjTypes, and InitTypeTable, Tcl_RegisterObjType} testobj { set r 1 foreach {t} { - {array search} bytearray bytecode cmdName -- cgit v0.12 From c235e3492b4494286cee64ae3a29ff161c62a821 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 19 Jul 2016 20:40:27 +0000 Subject: Factor out common prologue. --- generic/tclVar.c | 176 +++++++++++++++---------------------------------------- 1 file changed, 48 insertions(+), 128 deletions(-) diff --git a/generic/tclVar.c b/generic/tclVar.c index 1d08832..56c5a05 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -189,6 +189,7 @@ static ArraySearch * ParseSearchId(Tcl_Interp *interp, const Var *varPtr, static void UnsetVarStruct(Var *varPtr, Var *arrayPtr, Interp *iPtr, Tcl_Obj *part1Ptr, Tcl_Obj *part2Ptr, int flags, int index); +static Var * VerifyArray(Tcl_Interp *interp, Tcl_Obj *varNameObj); /* * Functions defined in this file that may be exported in the future for use @@ -2870,34 +2871,22 @@ TclArraySet( */ /* ARGSUSED */ -static int -ArrayStartSearchCmd( - ClientData clientData, + +static Var * +VerifyArray( Tcl_Interp *interp, - int objc, - Tcl_Obj *const objv[]) + Tcl_Obj *varNameObj) { Interp *iPtr = (Interp *) interp; - Var *varPtr, *arrayPtr; - Tcl_HashEntry *hPtr; - Tcl_Obj *varNameObj; - int isNew; - ArraySearch *searchPtr; - const char *varName; - - if (objc != 2) { - Tcl_WrongNumArgs(interp, 1, objv, "arrayName"); - return TCL_ERROR; - } - varNameObj = objv[1]; + const char *varName = TclGetString(varNameObj); + Var *arrayPtr; /* * Locate the array variable. */ - varPtr = TclObjLookupVarEx(interp, varNameObj, NULL, /*flags*/ 0, + Var *varPtr = TclObjLookupVarEx(interp, varNameObj, NULL, /*flags*/ 0, /*msg*/ 0, /*createPart1*/ 0, /*createPart2*/ 0, &arrayPtr); - varName = TclGetString(varNameObj); /* * Special array trace used to keep the env array in sync for array names, @@ -2909,7 +2898,7 @@ ArrayStartSearchCmd( if (TclObjCallVarTraces(iPtr, arrayPtr, varPtr, varNameObj, NULL, (TCL_LEAVE_ERR_MSG|TCL_NAMESPACE_ONLY|TCL_GLOBAL_ONLY| TCL_TRACE_ARRAY), /* leaveErrMsg */ 1, -1) == TCL_ERROR) { - return TCL_ERROR; + return NULL; } } @@ -2919,11 +2908,36 @@ ArrayStartSearchCmd( * traces. */ - if ((varPtr == NULL) || !TclIsVarArray(varPtr) - || TclIsVarUndefined(varPtr)) { + if ((varPtr == NULL) || !TclIsVarArray(varPtr) || TclIsVarUndefined(varPtr)) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "\"%s\" isn't an array", varName)); Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "ARRAY", varName, NULL); + return NULL; + } + + return varPtr; +} + +static int +ArrayStartSearchCmd( + ClientData clientData, + Tcl_Interp *interp, + int objc, + Tcl_Obj *const objv[]) +{ + Interp *iPtr = (Interp *) interp; + Var *varPtr; + Tcl_HashEntry *hPtr; + int isNew; + ArraySearch *searchPtr; + + if (objc != 2) { + Tcl_WrongNumArgs(interp, 1, objv, "arrayName"); + return TCL_ERROR; + } + + varPtr = VerifyArray(interp, objv[1]); + if (varPtr == NULL) { return TCL_ERROR; } @@ -2945,7 +2959,7 @@ ArrayStartSearchCmd( searchPtr->nextEntry = VarHashFirstEntry(varPtr->value.tablePtr, &searchPtr->search); Tcl_SetHashValue(hPtr, searchPtr); - searchPtr->name = Tcl_ObjPrintf("s-%d-%s", searchPtr->id, varName); + searchPtr->name = Tcl_ObjPrintf("s-%d-%s", searchPtr->id, TclGetString(objv[1])); Tcl_IncrRefCount(searchPtr->name); Tcl_SetObjResult(interp, searchPtr->name); return TCL_OK; @@ -2977,7 +2991,7 @@ ArrayAnyMoreCmd( Tcl_Obj *const objv[]) { Interp *iPtr = (Interp *) interp; - Var *varPtr, *arrayPtr; + Var *varPtr; Tcl_Obj *varNameObj, *searchObj; int gotValue; ArraySearch *searchPtr; @@ -2989,42 +3003,11 @@ ArrayAnyMoreCmd( varNameObj = objv[1]; searchObj = objv[2]; - /* - * Locate the array variable. - */ - - varPtr = TclObjLookupVarEx(interp, varNameObj, NULL, /*flags*/ 0, - /*msg*/ 0, /*createPart1*/ 0, /*createPart2*/ 0, &arrayPtr); - - /* - * Special array trace used to keep the env array in sync for array names, - * array get, etc. - */ - - if (varPtr && (varPtr->flags & VAR_TRACED_ARRAY) - && (TclIsVarArray(varPtr) || TclIsVarUndefined(varPtr))) { - if (TclObjCallVarTraces(iPtr, arrayPtr, varPtr, varNameObj, NULL, - (TCL_LEAVE_ERR_MSG|TCL_NAMESPACE_ONLY|TCL_GLOBAL_ONLY| - TCL_TRACE_ARRAY), /* leaveErrMsg */ 1, -1) == TCL_ERROR) { - return TCL_ERROR; - } - } - - /* - * Verify that it is indeed an array variable. This test comes after the - * traces - the variable may actually become an array as an effect of said - * traces. - */ - - if ((varPtr == NULL) || !TclIsVarArray(varPtr) - || TclIsVarUndefined(varPtr)) { - Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "\"%s\" isn't an array", TclGetString(varNameObj))); - Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "ARRAY", - TclGetString(varNameObj), NULL); + varPtr = VerifyArray(interp, varNameObj); + if (varPtr == NULL) { return TCL_ERROR; } - + /* * Get the search. */ @@ -3083,8 +3066,7 @@ ArrayNextElementCmd( int objc, Tcl_Obj *const objv[]) { - Interp *iPtr = (Interp *) interp; - Var *varPtr, *arrayPtr; + Var *varPtr; Tcl_Obj *varNameObj, *searchObj; ArraySearch *searchPtr; @@ -3095,41 +3077,10 @@ ArrayNextElementCmd( varNameObj = objv[1]; searchObj = objv[2]; - /* - * Locate the array variable. - */ - - varPtr = TclObjLookupVarEx(interp, varNameObj, NULL, /*flags*/ 0, - /*msg*/ 0, /*createPart1*/ 0, /*createPart2*/ 0, &arrayPtr); - - /* - * Special array trace used to keep the env array in sync for array names, - * array get, etc. - */ - - if (varPtr && (varPtr->flags & VAR_TRACED_ARRAY) - && (TclIsVarArray(varPtr) || TclIsVarUndefined(varPtr))) { - if (TclObjCallVarTraces(iPtr, arrayPtr, varPtr, varNameObj, NULL, - (TCL_LEAVE_ERR_MSG|TCL_NAMESPACE_ONLY|TCL_GLOBAL_ONLY| - TCL_TRACE_ARRAY), /* leaveErrMsg */ 1, -1) == TCL_ERROR) { - return TCL_ERROR; - } - } - - /* - * Verify that it is indeed an array variable. This test comes after the - * traces - the variable may actually become an array as an effect of said - * traces. - */ - - if ((varPtr == NULL) || !TclIsVarArray(varPtr) - || TclIsVarUndefined(varPtr)) { - Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "\"%s\" isn't an array", TclGetString(varNameObj))); - Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "ARRAY", - TclGetString(varNameObj), NULL); + varPtr = VerifyArray(interp, varNameObj); + if (varPtr == NULL) { return TCL_ERROR; - } + } /* * Get the search. @@ -3193,7 +3144,7 @@ ArrayDoneSearchCmd( Tcl_Obj *const objv[]) { Interp *iPtr = (Interp *) interp; - Var *varPtr, *arrayPtr; + Var *varPtr; Tcl_HashEntry *hPtr; Tcl_Obj *varNameObj, *searchObj; ArraySearch *searchPtr, *prevPtr; @@ -3205,39 +3156,8 @@ ArrayDoneSearchCmd( varNameObj = objv[1]; searchObj = objv[2]; - /* - * Locate the array variable. - */ - - varPtr = TclObjLookupVarEx(interp, varNameObj, NULL, /*flags*/ 0, - /*msg*/ 0, /*createPart1*/ 0, /*createPart2*/ 0, &arrayPtr); - - /* - * Special array trace used to keep the env array in sync for array names, - * array get, etc. - */ - - if (varPtr && (varPtr->flags & VAR_TRACED_ARRAY) - && (TclIsVarArray(varPtr) || TclIsVarUndefined(varPtr))) { - if (TclObjCallVarTraces(iPtr, arrayPtr, varPtr, varNameObj, NULL, - (TCL_LEAVE_ERR_MSG|TCL_NAMESPACE_ONLY|TCL_GLOBAL_ONLY| - TCL_TRACE_ARRAY), /* leaveErrMsg */ 1, -1) == TCL_ERROR) { - return TCL_ERROR; - } - } - - /* - * Verify that it is indeed an array variable. This test comes after the - * traces - the variable may actually become an array as an effect of said - * traces. - */ - - if ((varPtr == NULL) || !TclIsVarArray(varPtr) - || TclIsVarUndefined(varPtr)) { - Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "\"%s\" isn't an array", TclGetString(varNameObj))); - Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "ARRAY", - TclGetString(varNameObj), NULL); + varPtr = VerifyArray(interp, varNameObj); + if (varPtr == NULL) { return TCL_ERROR; } -- cgit v0.12 From 05c0da6eee9a84deb417980eb524efd8395516ec Mon Sep 17 00:00:00 2001 From: venkat Date: Wed, 20 Jul 2016 03:05:01 +0000 Subject: Update tzdata to 2016f from ietf.org --- library/tzdata/America/Cambridge_Bay | 2 +- library/tzdata/America/Inuvik | 2 +- library/tzdata/America/Iqaluit | 2 +- library/tzdata/America/Pangnirtung | 2 +- library/tzdata/America/Rankin_Inlet | 2 +- library/tzdata/America/Resolute | 2 +- library/tzdata/America/Yellowknife | 2 +- library/tzdata/Antarctica/Casey | 2 +- library/tzdata/Antarctica/Davis | 4 +- library/tzdata/Antarctica/DumontDUrville | 4 +- library/tzdata/Antarctica/Macquarie | 4 +- library/tzdata/Antarctica/Mawson | 2 +- library/tzdata/Antarctica/Palmer | 2 +- library/tzdata/Antarctica/Rothera | 2 +- library/tzdata/Antarctica/Syowa | 2 +- library/tzdata/Antarctica/Troll | 2 +- library/tzdata/Antarctica/Vostok | 2 +- library/tzdata/Asia/Baku | 2 +- library/tzdata/Asia/Novokuznetsk | 133 +++++++++++++++--------------- library/tzdata/Asia/Novosibirsk | 135 ++++++++++++++++--------------- library/tzdata/Europe/Minsk | 6 +- library/tzdata/Indian/Kerguelen | 2 +- 22 files changed, 159 insertions(+), 159 deletions(-) diff --git a/library/tzdata/America/Cambridge_Bay b/library/tzdata/America/Cambridge_Bay index 23004bb..3115ee1 100644 --- a/library/tzdata/America/Cambridge_Bay +++ b/library/tzdata/America/Cambridge_Bay @@ -1,7 +1,7 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:America/Cambridge_Bay) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-1577923200 -25200 0 MST} {-880210800 -21600 1 MWT} {-769395600 -21600 1 MPT} diff --git a/library/tzdata/America/Inuvik b/library/tzdata/America/Inuvik index dd0d151..08f0fd6 100644 --- a/library/tzdata/America/Inuvik +++ b/library/tzdata/America/Inuvik @@ -1,7 +1,7 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:America/Inuvik) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-536457600 -28800 0 PST} {-147888000 -21600 1 PDDT} {-131558400 -28800 0 PST} diff --git a/library/tzdata/America/Iqaluit b/library/tzdata/America/Iqaluit index 2a2e9fe..ff82866 100644 --- a/library/tzdata/America/Iqaluit +++ b/library/tzdata/America/Iqaluit @@ -1,7 +1,7 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:America/Iqaluit) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-865296000 -14400 0 EWT} {-769395600 -14400 1 EPT} {-765396000 -18000 0 EST} diff --git a/library/tzdata/America/Pangnirtung b/library/tzdata/America/Pangnirtung index 640808e..14d8516 100644 --- a/library/tzdata/America/Pangnirtung +++ b/library/tzdata/America/Pangnirtung @@ -1,7 +1,7 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:America/Pangnirtung) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-1546300800 -14400 0 AST} {-880221600 -10800 1 AWT} {-769395600 -10800 1 APT} diff --git a/library/tzdata/America/Rankin_Inlet b/library/tzdata/America/Rankin_Inlet index 770ec5d..9ce9f8d 100644 --- a/library/tzdata/America/Rankin_Inlet +++ b/library/tzdata/America/Rankin_Inlet @@ -1,7 +1,7 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:America/Rankin_Inlet) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-410227200 -21600 0 CST} {-147895200 -14400 1 CDDT} {-131565600 -21600 0 CST} diff --git a/library/tzdata/America/Resolute b/library/tzdata/America/Resolute index b4c0bab..a9881b4 100644 --- a/library/tzdata/America/Resolute +++ b/library/tzdata/America/Resolute @@ -1,7 +1,7 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:America/Resolute) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-704937600 -21600 0 CST} {-147895200 -14400 1 CDDT} {-131565600 -21600 0 CST} diff --git a/library/tzdata/America/Yellowknife b/library/tzdata/America/Yellowknife index 44ca658..c6c4ed5 100644 --- a/library/tzdata/America/Yellowknife +++ b/library/tzdata/America/Yellowknife @@ -1,7 +1,7 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:America/Yellowknife) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-1104537600 -25200 0 MST} {-880210800 -21600 1 MWT} {-769395600 -21600 1 MPT} diff --git a/library/tzdata/Antarctica/Casey b/library/tzdata/Antarctica/Casey index 56d5df7..2573dac 100644 --- a/library/tzdata/Antarctica/Casey +++ b/library/tzdata/Antarctica/Casey @@ -1,7 +1,7 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Antarctica/Casey) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-31536000 28800 0 AWST} {1255802400 39600 0 CAST} {1267714800 28800 0 AWST} diff --git a/library/tzdata/Antarctica/Davis b/library/tzdata/Antarctica/Davis index 2762d2f..c98be2f 100644 --- a/library/tzdata/Antarctica/Davis +++ b/library/tzdata/Antarctica/Davis @@ -1,9 +1,9 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Antarctica/Davis) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-409190400 25200 0 DAVT} - {-163062000 0 0 zzz} + {-163062000 0 0 -00} {-28857600 25200 0 DAVT} {1255806000 18000 0 DAVT} {1268251200 25200 0 DAVT} diff --git a/library/tzdata/Antarctica/DumontDUrville b/library/tzdata/Antarctica/DumontDUrville index 41dc1e3..8d21d45 100644 --- a/library/tzdata/Antarctica/DumontDUrville +++ b/library/tzdata/Antarctica/DumontDUrville @@ -1,8 +1,8 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Antarctica/DumontDUrville) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-725846400 36000 0 PMT} - {-566992800 0 0 zzz} + {-566992800 0 0 -00} {-415497600 36000 0 DDUT} } diff --git a/library/tzdata/Antarctica/Macquarie b/library/tzdata/Antarctica/Macquarie index 07ddff6..9ed0630 100644 --- a/library/tzdata/Antarctica/Macquarie +++ b/library/tzdata/Antarctica/Macquarie @@ -1,12 +1,12 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Antarctica/Macquarie) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-2214259200 36000 0 AEST} {-1680508800 39600 1 AEDT} {-1669892400 39600 0 AEDT} {-1665392400 36000 0 AEST} - {-1601719200 0 0 zzz} + {-1601719200 0 0 -00} {-94730400 36000 0 AEST} {-71136000 39600 1 AEDT} {-55411200 36000 0 AEST} diff --git a/library/tzdata/Antarctica/Mawson b/library/tzdata/Antarctica/Mawson index ba03ba1..e50aa07 100644 --- a/library/tzdata/Antarctica/Mawson +++ b/library/tzdata/Antarctica/Mawson @@ -1,7 +1,7 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Antarctica/Mawson) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-501206400 21600 0 MAWT} {1255809600 18000 0 MAWT} } diff --git a/library/tzdata/Antarctica/Palmer b/library/tzdata/Antarctica/Palmer index 5767985..62b17e1 100644 --- a/library/tzdata/Antarctica/Palmer +++ b/library/tzdata/Antarctica/Palmer @@ -1,7 +1,7 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Antarctica/Palmer) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-157766400 -14400 0 ART} {-152654400 -14400 0 ART} {-132955200 -10800 1 ARST} diff --git a/library/tzdata/Antarctica/Rothera b/library/tzdata/Antarctica/Rothera index 24d7f3e..3a219c7 100644 --- a/library/tzdata/Antarctica/Rothera +++ b/library/tzdata/Antarctica/Rothera @@ -1,6 +1,6 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Antarctica/Rothera) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {218246400 -10800 0 ROTT} } diff --git a/library/tzdata/Antarctica/Syowa b/library/tzdata/Antarctica/Syowa index 4d046b5..1fe030a 100644 --- a/library/tzdata/Antarctica/Syowa +++ b/library/tzdata/Antarctica/Syowa @@ -1,6 +1,6 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Antarctica/Syowa) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-407808000 10800 0 SYOT} } diff --git a/library/tzdata/Antarctica/Troll b/library/tzdata/Antarctica/Troll index 7d2b042..09727a8 100644 --- a/library/tzdata/Antarctica/Troll +++ b/library/tzdata/Antarctica/Troll @@ -1,7 +1,7 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Antarctica/Troll) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {1108166400 0 0 UTC} {1111885200 7200 1 CEST} {1130634000 0 0 UTC} diff --git a/library/tzdata/Antarctica/Vostok b/library/tzdata/Antarctica/Vostok index f846f65..a59868b 100644 --- a/library/tzdata/Antarctica/Vostok +++ b/library/tzdata/Antarctica/Vostok @@ -1,6 +1,6 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Antarctica/Vostok) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-380073600 21600 0 VOST} } diff --git a/library/tzdata/Asia/Baku b/library/tzdata/Asia/Baku index bc0701a..e9ee835 100644 --- a/library/tzdata/Asia/Baku +++ b/library/tzdata/Asia/Baku @@ -28,7 +28,7 @@ set TZData(:Asia/Baku) { {683496000 14400 0 AZST} {686098800 10800 0 AZT} {701823600 14400 1 AZST} - {717537600 14400 0 AZT} + {717548400 14400 0 AZT} {820440000 14400 0 AZT} {828234000 18000 1 AZST} {846378000 14400 0 AZT} diff --git a/library/tzdata/Asia/Novokuznetsk b/library/tzdata/Asia/Novokuznetsk index f079faa..a43a984 100644 --- a/library/tzdata/Asia/Novokuznetsk +++ b/library/tzdata/Asia/Novokuznetsk @@ -2,71 +2,70 @@ set TZData(:Asia/Novokuznetsk) { {-9223372036854775808 20928 0 LMT} - {-1441259328 21600 0 KRAT} - {-1247551200 25200 0 KRAMMTT} - {354906000 28800 1 KRAST} - {370713600 25200 0 KRAT} - {386442000 28800 1 KRAST} - {402249600 25200 0 KRAT} - {417978000 28800 1 KRAST} - {433785600 25200 0 KRAT} - {449600400 28800 1 KRAST} - {465332400 25200 0 KRAT} - {481057200 28800 1 KRAST} - {496782000 25200 0 KRAT} - {512506800 28800 1 KRAST} - {528231600 25200 0 KRAT} - {543956400 28800 1 KRAST} - {559681200 25200 0 KRAT} - {575406000 28800 1 KRAST} - {591130800 25200 0 KRAT} - {606855600 28800 1 KRAST} - {622580400 25200 0 KRAT} - {638305200 28800 1 KRAST} - {654634800 25200 0 KRAT} - {670359600 21600 0 KRAMMTT} - {670363200 25200 1 KRAST} - {686088000 21600 0 KRAT} - {695764800 25200 0 KRAMMTT} - {701809200 28800 1 KRAST} - {717534000 25200 0 KRAT} - {733258800 28800 1 KRAST} - {748983600 25200 0 KRAT} - {764708400 28800 1 KRAST} - {780433200 25200 0 KRAT} - {796158000 28800 1 KRAST} - {811882800 25200 0 KRAT} - {828212400 28800 1 KRAST} - {846356400 25200 0 KRAT} - {859662000 28800 1 KRAST} - {877806000 25200 0 KRAT} - {891111600 28800 1 KRAST} - {909255600 25200 0 KRAT} - {922561200 28800 1 KRAST} - {941310000 25200 0 KRAT} - {954010800 28800 1 KRAST} - {972759600 25200 0 KRAT} - {985460400 28800 1 KRAST} - {1004209200 25200 0 KRAT} - {1017514800 28800 1 KRAST} - {1035658800 25200 0 KRAT} - {1048964400 28800 1 KRAST} - {1067108400 25200 0 KRAT} - {1080414000 28800 1 KRAST} - {1099162800 25200 0 KRAT} - {1111863600 28800 1 KRAST} - {1130612400 25200 0 KRAT} - {1143313200 28800 1 KRAST} - {1162062000 25200 0 KRAT} - {1174762800 28800 1 KRAST} - {1193511600 25200 0 KRAT} - {1206817200 28800 1 KRAST} - {1224961200 25200 0 KRAT} - {1238266800 28800 1 KRAST} - {1256410800 25200 0 KRAT} - {1269716400 21600 0 NOVMMTT} - {1269720000 25200 1 NOVST} - {1288468800 21600 0 NOVT} - {1301169600 25200 0 NOVT} - {1414263600 25200 0 KRAT} + {-1441259328 21600 0 +06} + {-1247551200 25200 0 +08} + {354906000 28800 1 +08} + {370713600 25200 0 +07} + {386442000 28800 1 +08} + {402249600 25200 0 +07} + {417978000 28800 1 +08} + {433785600 25200 0 +07} + {449600400 28800 1 +08} + {465332400 25200 0 +07} + {481057200 28800 1 +08} + {496782000 25200 0 +07} + {512506800 28800 1 +08} + {528231600 25200 0 +07} + {543956400 28800 1 +08} + {559681200 25200 0 +07} + {575406000 28800 1 +08} + {591130800 25200 0 +07} + {606855600 28800 1 +08} + {622580400 25200 0 +07} + {638305200 28800 1 +08} + {654634800 25200 0 +07} + {670359600 21600 0 +07} + {670363200 25200 1 +07} + {686088000 21600 0 +06} + {695764800 25200 0 +08} + {701809200 28800 1 +08} + {717534000 25200 0 +07} + {733258800 28800 1 +08} + {748983600 25200 0 +07} + {764708400 28800 1 +08} + {780433200 25200 0 +07} + {796158000 28800 1 +08} + {811882800 25200 0 +07} + {828212400 28800 1 +08} + {846356400 25200 0 +07} + {859662000 28800 1 +08} + {877806000 25200 0 +07} + {891111600 28800 1 +08} + {909255600 25200 0 +07} + {922561200 28800 1 +08} + {941310000 25200 0 +07} + {954010800 28800 1 +08} + {972759600 25200 0 +07} + {985460400 28800 1 +08} + {1004209200 25200 0 +07} + {1017514800 28800 1 +08} + {1035658800 25200 0 +07} + {1048964400 28800 1 +08} + {1067108400 25200 0 +07} + {1080414000 28800 1 +08} + {1099162800 25200 0 +07} + {1111863600 28800 1 +08} + {1130612400 25200 0 +07} + {1143313200 28800 1 +08} + {1162062000 25200 0 +07} + {1174762800 28800 1 +08} + {1193511600 25200 0 +07} + {1206817200 28800 1 +08} + {1224961200 25200 0 +07} + {1238266800 28800 1 +08} + {1256410800 25200 0 +07} + {1269716400 21600 0 +07} + {1269720000 25200 1 +07} + {1288468800 21600 0 +06} + {1301169600 25200 0 +07} } diff --git a/library/tzdata/Asia/Novosibirsk b/library/tzdata/Asia/Novosibirsk index 54c83fa..21f5c00 100644 --- a/library/tzdata/Asia/Novosibirsk +++ b/library/tzdata/Asia/Novosibirsk @@ -2,71 +2,72 @@ set TZData(:Asia/Novosibirsk) { {-9223372036854775808 19900 0 LMT} - {-1579476700 21600 0 NOVT} - {-1247551200 25200 0 NOVMMTT} - {354906000 28800 1 NOVST} - {370713600 25200 0 NOVT} - {386442000 28800 1 NOVST} - {402249600 25200 0 NOVT} - {417978000 28800 1 NOVST} - {433785600 25200 0 NOVT} - {449600400 28800 1 NOVST} - {465332400 25200 0 NOVT} - {481057200 28800 1 NOVST} - {496782000 25200 0 NOVT} - {512506800 28800 1 NOVST} - {528231600 25200 0 NOVT} - {543956400 28800 1 NOVST} - {559681200 25200 0 NOVT} - {575406000 28800 1 NOVST} - {591130800 25200 0 NOVT} - {606855600 28800 1 NOVST} - {622580400 25200 0 NOVT} - {638305200 28800 1 NOVST} - {654634800 25200 0 NOVT} - {670359600 21600 0 NOVMMTT} - {670363200 25200 1 NOVST} - {686088000 21600 0 NOVT} - {695764800 25200 0 NOVMMTT} - {701809200 28800 1 NOVST} - {717534000 25200 0 NOVT} - {733258800 28800 1 NOVST} - {738090000 25200 0 NOVST} - {748987200 21600 0 NOVT} - {764712000 25200 1 NOVST} - {780436800 21600 0 NOVT} - {796161600 25200 1 NOVST} - {811886400 21600 0 NOVT} - {828216000 25200 1 NOVST} - {846360000 21600 0 NOVT} - {859665600 25200 1 NOVST} - {877809600 21600 0 NOVT} - {891115200 25200 1 NOVST} - {909259200 21600 0 NOVT} - {922564800 25200 1 NOVST} - {941313600 21600 0 NOVT} - {954014400 25200 1 NOVST} - {972763200 21600 0 NOVT} - {985464000 25200 1 NOVST} - {1004212800 21600 0 NOVT} - {1017518400 25200 1 NOVST} - {1035662400 21600 0 NOVT} - {1048968000 25200 1 NOVST} - {1067112000 21600 0 NOVT} - {1080417600 25200 1 NOVST} - {1099166400 21600 0 NOVT} - {1111867200 25200 1 NOVST} - {1130616000 21600 0 NOVT} - {1143316800 25200 1 NOVST} - {1162065600 21600 0 NOVT} - {1174766400 25200 1 NOVST} - {1193515200 21600 0 NOVT} - {1206820800 25200 1 NOVST} - {1224964800 21600 0 NOVT} - {1238270400 25200 1 NOVST} - {1256414400 21600 0 NOVT} - {1269720000 25200 1 NOVST} - {1288468800 21600 0 NOVT} - {1301169600 25200 0 NOVT} - {1414263600 21600 0 NOVT} + {-1579476700 21600 0 +06} + {-1247551200 25200 0 +08} + {354906000 28800 1 +08} + {370713600 25200 0 +07} + {386442000 28800 1 +08} + {402249600 25200 0 +07} + {417978000 28800 1 +08} + {433785600 25200 0 +07} + {449600400 28800 1 +08} + {465332400 25200 0 +07} + {481057200 28800 1 +08} + {496782000 25200 0 +07} + {512506800 28800 1 +08} + {528231600 25200 0 +07} + {543956400 28800 1 +08} + {559681200 25200 0 +07} + {575406000 28800 1 +08} + {591130800 25200 0 +07} + {606855600 28800 1 +08} + {622580400 25200 0 +07} + {638305200 28800 1 +08} + {654634800 25200 0 +07} + {670359600 21600 0 +07} + {670363200 25200 1 +07} + {686088000 21600 0 +06} + {695764800 25200 0 +08} + {701809200 28800 1 +08} + {717534000 25200 0 +07} + {733258800 28800 1 +08} + {738090000 25200 0 +07} + {748987200 21600 0 +06} + {764712000 25200 1 +07} + {780436800 21600 0 +06} + {796161600 25200 1 +07} + {811886400 21600 0 +06} + {828216000 25200 1 +07} + {846360000 21600 0 +06} + {859665600 25200 1 +07} + {877809600 21600 0 +06} + {891115200 25200 1 +07} + {909259200 21600 0 +06} + {922564800 25200 1 +07} + {941313600 21600 0 +06} + {954014400 25200 1 +07} + {972763200 21600 0 +06} + {985464000 25200 1 +07} + {1004212800 21600 0 +06} + {1017518400 25200 1 +07} + {1035662400 21600 0 +06} + {1048968000 25200 1 +07} + {1067112000 21600 0 +06} + {1080417600 25200 1 +07} + {1099166400 21600 0 +06} + {1111867200 25200 1 +07} + {1130616000 21600 0 +06} + {1143316800 25200 1 +07} + {1162065600 21600 0 +06} + {1174766400 25200 1 +07} + {1193515200 21600 0 +06} + {1206820800 25200 1 +07} + {1224964800 21600 0 +06} + {1238270400 25200 1 +07} + {1256414400 21600 0 +06} + {1269720000 25200 1 +07} + {1288468800 21600 0 +06} + {1301169600 25200 0 +07} + {1414263600 21600 0 +06} + {1469304000 25200 0 +07} } diff --git a/library/tzdata/Europe/Minsk b/library/tzdata/Europe/Minsk index 5e47063..2857e5b 100644 --- a/library/tzdata/Europe/Minsk +++ b/library/tzdata/Europe/Minsk @@ -30,10 +30,10 @@ set TZData(:Europe/Minsk) { {606870000 14400 1 MSD} {622594800 10800 0 MSK} {631141200 10800 0 MSK} - {670374000 10800 1 EEST} + {670374000 7200 0 EEMMTT} + {670377600 10800 1 EEST} {686102400 7200 0 EET} - {701820000 10800 1 EEST} - {717544800 10800 0 EEST} + {701827200 10800 1 EEST} {717552000 7200 0 EET} {733276800 10800 1 EEST} {749001600 7200 0 EET} diff --git a/library/tzdata/Indian/Kerguelen b/library/tzdata/Indian/Kerguelen index b41b85a..8820010 100644 --- a/library/tzdata/Indian/Kerguelen +++ b/library/tzdata/Indian/Kerguelen @@ -1,6 +1,6 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Indian/Kerguelen) { - {-9223372036854775808 0 0 zzz} + {-9223372036854775808 0 0 -00} {-631152000 18000 0 TFT} } -- cgit v0.12 From fcf66a8c31f5c02f6b8337c822d21e55c07df7f6 Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 20 Jul 2016 15:43:08 +0000 Subject: Use the new private flag INDEX_TEMP_TABLE in testing command too. --- generic/tclTestObj.c | 18 ++---------------- 1 file changed, 2 insertions(+), 16 deletions(-) diff --git a/generic/tclTestObj.c b/generic/tclTestObj.c index a637498..6053ae3 100644 --- a/generic/tclTestObj.c +++ b/generic/tclTestObj.c @@ -577,23 +577,9 @@ TestindexobjCmd( } argv[objc-4] = NULL; - /* - * Tcl_GetIndexFromObj assumes that the table is statically-allocated so - * that its address is different for each index object. If we accidently - * allocate a table at the same address as that cached in the index - * object, clear out the object's cached state. - */ - - if (objv[3]->typePtr != NULL - && !strcmp("index", objv[3]->typePtr->name)) { - indexRep = objv[3]->internalRep.twoPtrValue.ptr1; - if (indexRep->tablePtr == (void *) argv) { - TclFreeIntRep(objv[3]); - } - } - result = Tcl_GetIndexFromObj((setError? interp : NULL), objv[3], - argv, "token", (allowAbbrev? 0 : TCL_EXACT), &index); + argv, "token", INDEX_TEMP_TABLE|(allowAbbrev? 0 : TCL_EXACT), + &index); ckfree(argv); if (result == TCL_OK) { Tcl_SetIntObj(Tcl_GetObjResult(interp), index); -- cgit v0.12 From 1eff5acecce7c6cae25d692ba941f02c9961dc74 Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 20 Jul 2016 16:32:16 +0000 Subject: Use strchr() to parse array variable syntax. --- generic/tclVar.c | 58 +++++++++++++++----------------------------------------- 1 file changed, 15 insertions(+), 43 deletions(-) diff --git a/generic/tclVar.c b/generic/tclVar.c index 56c5a05..20fce82 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -504,9 +504,8 @@ TclObjLookupVarEx( register Var *varPtr; /* Points to the variable's in-frame Var * structure. */ const char *part1; - int index, len1, len2; + int index, len; int parsed = 0; - Tcl_Obj *objPtr; const Tcl_ObjType *typePtr = part1Ptr->typePtr; const char *errMsg = NULL; CallFrame *varFramePtr = iPtr->varFramePtr; @@ -566,18 +565,17 @@ TclObjLookupVarEx( } parsed = 1; } - part1 = TclGetStringFromObj(part1Ptr, &len1); + part1 = TclGetStringFromObj(part1Ptr, &len); - if (!parsed && len1 && (*(part1 + len1 - 1) == ')')) { + if (!parsed && len && (*(part1 + len - 1) == ')')) { /* * part1Ptr is possibly an unparsed array element. */ - register int i; + part2 = strchr(part1, '('); + if (part2) { + Tcl_Obj *arrayPtr; - len2 = -1; - for (i = 0; i < len1; i++) { - if (*(part1 + i) == '(') { if (part2Ptr != NULL) { if (flags & TCL_LEAVE_ERR_MSG) { TclObjVarErrMsg(interp, part1Ptr, part2Ptr, msg, @@ -588,44 +586,18 @@ TclObjLookupVarEx( return NULL; } - /* - * part1Ptr points to an array element; first copy the element - * name to a new string part2. - */ - - part2 = part1 + i + 1; - len2 = len1 - i - 2; - len1 = i; - - part2Ptr = Tcl_NewStringObj(part2, len2); - - /* - * Free the internal rep of the original part1Ptr, now renamed - * objPtr, and set it to tclParsedVarNameType. - */ + arrayPtr = Tcl_NewStringObj(part1, (part2 - part1)); + part2Ptr = Tcl_NewStringObj(part2 + 1, len - (part2 - part1) - 2); - objPtr = part1Ptr; - TclFreeIntRep(objPtr); - objPtr->typePtr = &tclParsedVarNameType; + TclFreeIntRep(part1Ptr); - /* - * Define a new string object to hold the new part1Ptr, i.e., - * the array name. Set the internal rep of objPtr, reset - * typePtr and part1 to contain the references to the array - * name. - */ - - TclNewStringObj(part1Ptr, part1, len1); - Tcl_IncrRefCount(part1Ptr); - - objPtr->internalRep.twoPtrValue.ptr1 = part1Ptr; - Tcl_IncrRefCount(part2Ptr); - objPtr->internalRep.twoPtrValue.ptr2 = part2Ptr; + Tcl_IncrRefCount(arrayPtr); + part1Ptr->internalRep.twoPtrValue.ptr1 = arrayPtr; + Tcl_IncrRefCount(part2Ptr); + part1Ptr->internalRep.twoPtrValue.ptr2 = part2Ptr; + part1Ptr->typePtr = &tclParsedVarNameType; - typePtr = part1Ptr->typePtr; - part1 = TclGetString(part1Ptr); - break; - } + part1Ptr = arrayPtr; } } -- cgit v0.12 From a7a2c2e589efa82857ba0a2526acede975aa89d0 Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 20 Jul 2016 17:39:04 +0000 Subject: Streamline TclObjLookupVarEx --- generic/tclVar.c | 32 ++++++++++++++++++-------------- 1 file changed, 18 insertions(+), 14 deletions(-) diff --git a/generic/tclVar.c b/generic/tclVar.c index 20fce82..55eb436 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -501,15 +501,13 @@ TclObjLookupVarEx( * is set to NULL. */ { Interp *iPtr = (Interp *) interp; + CallFrame *varFramePtr = iPtr->varFramePtr; register Var *varPtr; /* Points to the variable's in-frame Var * structure. */ - const char *part1; - int index, len; - int parsed = 0; - const Tcl_ObjType *typePtr = part1Ptr->typePtr; const char *errMsg = NULL; - CallFrame *varFramePtr = iPtr->varFramePtr; - const char *part2 = part2Ptr? TclGetString(part2Ptr):NULL; + int index, parsed = 0; + const Tcl_ObjType *typePtr = part1Ptr->typePtr; + *arrayPtrPtr = NULL; if (typePtr == &localVarNameType) { @@ -525,7 +523,7 @@ TclObjLookupVarEx( */ Tcl_Obj *namePtr = part1Ptr->internalRep.twoPtrValue.ptr1; - Tcl_Obj *checkNamePtr = localName(iPtr->varFramePtr, localIndex); + Tcl_Obj *checkNamePtr = localName(varFramePtr, localIndex); if ((!namePtr && (checkNamePtr == part1Ptr)) || (namePtr && (checkNamePtr == namePtr))) { @@ -565,15 +563,21 @@ TclObjLookupVarEx( } parsed = 1; } - part1 = TclGetStringFromObj(part1Ptr, &len); - if (!parsed && len && (*(part1 + len - 1) == ')')) { + if (!parsed) { + /* * part1Ptr is possibly an unparsed array element. */ - part2 = strchr(part1, '('); - if (part2) { + int len; + const char *part1 = TclGetStringFromObj(part1Ptr, &len); + + if (len > 1 && (part1[len - 1] == ')')) { + + const char *part2 = strchr(part1, '('); + + if (part2) { Tcl_Obj *arrayPtr; if (part2Ptr != NULL) { @@ -598,6 +602,7 @@ TclObjLookupVarEx( part1Ptr->typePtr = &tclParsedVarNameType; part1Ptr = arrayPtr; + } } } @@ -607,8 +612,6 @@ TclObjLookupVarEx( * the cached types if possible. */ - TclFreeIntRep(part1Ptr); - varPtr = TclLookupSimpleVar(interp, part1Ptr, flags, createPart1, &errMsg, &index); if (varPtr == NULL) { @@ -624,11 +627,12 @@ TclObjLookupVarEx( * Cache the newly found variable if possible. */ + TclFreeIntRep(part1Ptr); if (index >= 0) { /* * An indexed local variable. */ - Tcl_Obj *cachedNamePtr = localName(iPtr->varFramePtr, index); + Tcl_Obj *cachedNamePtr = localName(varFramePtr, index); part1Ptr->typePtr = &localVarNameType; if (part1Ptr != cachedNamePtr) { -- cgit v0.12 From 5ad954783e49a00f738e29083586df9f8c9411e0 Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 20 Jul 2016 20:39:16 +0000 Subject: Stop internals intrusion into lists. --- generic/tclExecute.c | 21 ++++----------------- 1 file changed, 4 insertions(+), 17 deletions(-) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index f1205b0..a2a465a 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -5283,23 +5283,10 @@ TEBCresume( toIdx = objc-1; } if (fromIdx == 0 && toIdx != objc-1 && !Tcl_IsShared(valuePtr)) { - /* - * BEWARE! This is looking inside the implementation of the - * list type. - */ - - List *listPtr = valuePtr->internalRep.twoPtrValue.ptr1; - - if (listPtr->refCount == 1) { - for (index=toIdx+1; indexelemCount = toIdx+1; - listPtr->canonicalFlag = 1; - TclInvalidateStringRep(valuePtr); - TRACE_APPEND(("%.30s\n", O2S(valuePtr))); - NEXT_INST_F(9, 0, 0); - } + Tcl_ListObjReplace(interp, valuePtr, + toIdx + 1, LIST_MAX, 0, NULL); + TRACE_APPEND(("%.30s\n", O2S(valuePtr))); + NEXT_INST_F(9, 0, 0); } objResultPtr = Tcl_NewListObj(toIdx-fromIdx+1, objv+fromIdx); } else { -- cgit v0.12 From fa9c51579645df87feccb20a43ac952d79e2e0c9 Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 21 Jul 2016 16:20:38 +0000 Subject: Update changes file. --- changes | 74 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 74 insertions(+) diff --git a/changes b/changes index 1e24269..2ba6d42 100644 --- a/changes +++ b/changes @@ -8624,3 +8624,77 @@ improvements to regexp engine from Postgres (lane,porter,fellows,seltenreich) 2016-02-22 (bug)[9b4702] [info exists env(missing)] kills trace (nijtmans) --- Released 8.6.5, February 29, 2016 --- http://core.tcl.tk/tcl/ for details + +2016-03-01 (bug)[803042] mem leak due to reference cycle (porter) + +2016-03-08 (bug)[bbc304] reflected watch race condition (porter) + +2016-03-17 (bug)[fadc99] compile-5.3 (rodriguez,porter) + +2016-03-17 (enhancement)[1a25fd] compile [variable ${ns}::v] (porter) + +2016-03-20 (bug)[1af8de] crash in compiled [string replace] (harder,fellows) + +2016-03-21 (bug)[d30718] segv in notifier finalize (hirofumi,nijtmans) + +2016-03-23 (enhancement)[7d0db7] parallel make (yarda,nijtmans) + +2016-03-23 [f12535] enable test bindings customization (vogel,nijtmans) + +2016-04-04 (bug)[47ac84] compiled [lreplace] fixes (aspect,ferrieux,fellows) + *** POTENTIAL INCOMPATIBILITY *** + +2016-04-08 (bug)[866368] RE \w includes 'Punctuation Connector' (nijtmans) + +2016-04-08 (bug)[2538f3] Win crash Tcl_OpenTcpServer() (griffin) + +2016-04-10 [07d13d] Restore TclBlend support lost in 8.6.1 (buratti) + +2016-05-13 (bug)[3154ea] Mem corruption in assembler exceptions (tkob,kenny) + +2016-05-13 (bug) registry package support any Unicode env (nijtmans) +=> registry 1.3.2 + +2016-05-21 (bug)[f7d4e] [namespace delete] performance (fellows) + +2016-06-02 (TIP 447) execution time verbosity option (cerutti) +=> tcltest 2.4.0 + +2016-06-16 (bug)[16828b] crash due to [vwait] trace undo fail (dah,porter) + +2016-06-16 (enhancement)[4b61af] good [info frame] from more cases (beric) + +2016-06-21 (bug)[c383eb] crash in [glob -path a] (oehlmann,porter) + +2016-06-21 (update) Update Unicode data to 9.0 (nijtmans) + *** POTENTIAL INCOMPATIBILITY *** + +2016-06-22 (bug)[16896d] Tcl_DString tolerate append to self. (dah,porter) + +2016-06-23 (bug)[d55322] crash in [dict update] (yorick,fellows) + +2016-06-27 (bug)[dd260a] crash in [chan configure -dictionary] (madden,aspect) + +2016-07-02 (bug)[f961d7] usage message with parameters with spaces (porter) + *** POTENTIAL INCOMPATIBILITY *** + +2016-07-02 (enhancement)[09fabc] Sort order of -relateddir (lanam) + +2016-07-07 (bug)[5d7ca0] Win: [file executable] for .cmd and .ps1 (nadkarni) + *** POTENTIAL INCOMPATIBILITY *** + +2016-07-08 (bug)[a47641] [file normalize] & Windows junctions (nadkarni) + +2016-07-09 [ae61a6] [file] handling of Win hardcoded names (CON) (nadkarni) + *** POTENTIAL INCOMPATIBILITY *** + +2016-07-09 [3613671] [file owned] (more) useful on Win (nadkarni) + +2016-07-09 (bug)[1493a4] [namespace upvar] use of resolvers (beric,fellows) + *** POTENTIAL INCOMPATIBILITY *** + +2016-07-10 (bug)[da340d] integer division in clock math (nadkarni) + +2016-07-20 tzdata updated to Olson's tzdata2016f (venkat) + +--- Released 8.6.6, August ?, 2016 --- http://core.tcl.tk/tcl/ for details -- cgit v0.12 From 6239155e85e232727ff14b9f2a6992158ca5a781 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 22 Jul 2016 14:00:01 +0000 Subject: Set release date --- changes | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/changes b/changes index 2ba6d42..034380b 100644 --- a/changes +++ b/changes @@ -8697,4 +8697,4 @@ improvements to regexp engine from Postgres (lane,porter,fellows,seltenreich) 2016-07-20 tzdata updated to Olson's tzdata2016f (venkat) ---- Released 8.6.6, August ?, 2016 --- http://core.tcl.tk/tcl/ for details +--- Released 8.6.6, July 27, 2016 --- http://core.tcl.tk/tcl/ for details -- cgit v0.12 From 7b960b4cdbdb05dd87c12eff280e839eace1cd54 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 22 Jul 2016 15:28:50 +0000 Subject: test repairs --- tests/chanio.test | 2 -- tests/info.test | 2 +- 2 files changed, 1 insertion(+), 3 deletions(-) diff --git a/tests/chanio.test b/tests/chanio.test index 29f42c3..9a27233 100644 --- a/tests/chanio.test +++ b/tests/chanio.test @@ -6790,8 +6790,6 @@ test chan-io-52.11 {TclCopyChannel & encodings} -setup { chan close $in chan close $out file size $path(kyrillic.txt) -} -cleanup { - file delete $path(utf8-fcopy.txt) } -result 3 test chan-io-53.1 {CopyData} -setup { diff --git a/tests/info.test b/tests/info.test index c4fd379..42f5a96 100644 --- a/tests/info.test +++ b/tests/info.test @@ -1841,7 +1841,7 @@ test info-30.48 {Bug 2850901} testevalex { # ------------------------------------------------------------------------- # literal sharing 2, bug 2933089 -test info-39.1 {location information not confused by literal sharing, bug 2933089} -setup { +test info-40.1 {location information not confused by literal sharing, bug 2933089} -setup { set result {} proc print_one {} {} -- cgit v0.12 From 3e6a6753f751ed2cec8c6119d295e4ae7be26852 Mon Sep 17 00:00:00 2001 From: dkf Date: Sun, 24 Jul 2016 12:45:07 +0000 Subject: Make a few tests more resilient to differences in the semantics of pipes between operating systems. --- doc/chan.n | 12 ++++++++++++ tests/zlib.test | 12 ++++++++---- 2 files changed, 20 insertions(+), 4 deletions(-) diff --git a/doc/chan.n b/doc/chan.n index 7ea0d19..cc53d3b 100644 --- a/doc/chan.n +++ b/doc/chan.n @@ -547,6 +547,18 @@ this, spawn with "2>@" or ">@" redirection operators onto the write side of a pipe, and then immediately close it in the parent. This is necessary to get an EOF on the read side once the child has exited or otherwise closed its output. +.RS +.PP +Note that the pipe buffering semantics can vary at the operating system level +substantially; it is not safe to assume that a write performed on the output +side of the pipe will appear instantly to the input side. This is a +fundamental difference and Tcl cannot conceal it. The overall stream semantics +\fIare\fR compatible, so blocking reads and writes will not see most of the +differences, but the details of what exactly gets written when are not. This +is most likely to show up when using pipelines for testing; care should be +taken to ensure that deadlocks do not occur and that potential short reads are +allowed for. +.RE .VE 8.6 .TP \fBchan pop \fIchannelId\fR diff --git a/tests/zlib.test b/tests/zlib.test index c9e5f10..8a040d8 100644 --- a/tests/zlib.test +++ b/tests/zlib.test @@ -251,9 +251,10 @@ test zlib-8.8 {transformation and fconfigure} -setup { } -constraints zlib -body { zlib push compress $outSide -dictionary $spdyDict fconfigure $outSide -blocking 0 -translation binary -buffering none - fconfigure $inSide -blocking 0 -translation binary + fconfigure $inSide -blocking 1 -translation binary puts -nonewline $outSide $spdyHeaders chan pop $outSide + chan close $outSide set compressed [read $inSide] catch {zlib decompress $compressed} err opt list [string length [zlib compress $spdyHeaders]] \ @@ -269,10 +270,11 @@ test zlib-8.9 {transformation and fconfigure} -setup { } -constraints zlib -body { zlib push compress $outSide -dictionary $spdyDict fconfigure $outSide -blocking 0 -translation binary -buffering none - fconfigure $inSide -blocking 0 -translation binary + fconfigure $inSide -blocking 1 -translation binary puts -nonewline $outSide $spdyHeaders set result [fconfigure $outSide -checksum] chan pop $outSide + chan close $outSide $strm put -dictionary $spdyDict [read $inSide] lappend result [string length $spdyHeaders] [string length [$strm get]] } -cleanup { @@ -285,9 +287,10 @@ test zlib-8.10 {transformation and fconfigure} -setup { } -constraints {zlib recentZlib} -body { zlib push deflate $outSide -dictionary $spdyDict fconfigure $outSide -blocking 0 -translation binary -buffering none - fconfigure $inSide -blocking 0 -translation binary + fconfigure $inSide -blocking 1 -translation binary puts -nonewline $outSide $spdyHeaders chan pop $outSide + chan close $outSide set compressed [read $inSide] catch { zlib inflate $compressed @@ -306,9 +309,10 @@ test zlib-8.11 {transformation and fconfigure} -setup { } -constraints zlib -body { zlib push deflate $outSide -dictionary $spdyDict fconfigure $outSide -blocking 0 -translation binary -buffering none - fconfigure $inSide -blocking 0 -translation binary + fconfigure $inSide -blocking 1 -translation binary puts -nonewline $outSide $spdyHeaders chan pop $outSide + chan close $outSide $strm put -dictionary $spdyDict [read $inSide] list [string length $spdyHeaders] [string length [$strm get]] } -cleanup { -- cgit v0.12 From f6a4d71bada6d59b1daf550d919038e8e34ba666 Mon Sep 17 00:00:00 2001 From: dkf Date: Sun, 24 Jul 2016 13:09:40 +0000 Subject: [6a19dedc2e] "Clarified" what the units are that [chan copy] uses for -size and that synchronous copying returns. --- doc/chan.n | 14 ++++++++------ doc/fcopy.n | 12 +++++++++--- 2 files changed, 17 insertions(+), 9 deletions(-) diff --git a/doc/chan.n b/doc/chan.n index 7ea0d19..36d56f8 100644 --- a/doc/chan.n +++ b/doc/chan.n @@ -287,12 +287,14 @@ slow destinations like network sockets. .RS .PP The \fBchan copy\fR command transfers data from \fIinputChan\fR until -end of file or \fIsize\fR bytes have been transferred. If no -\fB\-size\fR argument is given, then the copy goes until end of file. -All the data read from \fIinputChan\fR is copied to \fIoutputChan\fR. -Without the \fB\-command\fR option, \fBchan copy\fR blocks until the -copy is complete and returns the number of bytes written to -\fIoutputChan\fR. +end of file or \fIsize\fR bytes or characters have been transferred; +\fIsize\fR is in bytes if the two channels are using the same encoding, +and is in characters otherwise. If no \fB\-size\fR argument is given, +then the copy goes until end of file. All the data read from +\fIinputChan\fR is copied to \fIoutputChan\fR. Without the +\fB\-command\fR option, \fBchan copy\fR blocks until the copy is +complete and returns the number of bytes or characters (using the same +rules as for the \fB\-size\fR option) written to \fIoutputChan\fR. .PP The \fB\-command\fR argument makes \fBchan copy\fR work in the background. In this case it returns immediately and the diff --git a/doc/fcopy.n b/doc/fcopy.n index e5dd1d6..d39c803 100644 --- a/doc/fcopy.n +++ b/doc/fcopy.n @@ -25,12 +25,15 @@ network sockets. .PP The \fBfcopy\fR command transfers data from \fIinchan\fR until end of file -or \fIsize\fR bytes have been -transferred. If no \fB\-size\fR argument is given, +or \fIsize\fR bytes or characters have been +transferred; \fIsize\fR is in bytes if the two channels are using the +same encoding, and is in characters otherwise. +If no \fB\-size\fR argument is given, then the copy goes until end of file. All the data read from \fIinchan\fR is copied to \fIoutchan\fR. Without the \fB\-command\fR option, \fBfcopy\fR blocks until the copy is complete -and returns the number of bytes written to \fIoutchan\fR. +and returns the number of bytes or characters (using the same rules as +for the \fB\-size\fR option) written to \fIoutchan\fR. .PP The \fB\-command\fR argument makes \fBfcopy\fR work in the background. In this case it returns immediately and the \fIcallback\fR is invoked @@ -174,3 +177,6 @@ vwait done eof(n), fblocked(n), fconfigure(n), file(n) .SH KEYWORDS blocking, channel, end of line, end of file, nonblocking, read, translation +'\" Local Variables: +'\" mode: nroff +'\" End: -- cgit v0.12 From 53b6bf7310b56ceb0c4d2d16a0252a3c600924b1 Mon Sep 17 00:00:00 2001 From: Joe Mistachkin Date: Tue, 9 Aug 2016 21:03:28 +0000 Subject: Fix the 'htmlhelp' target so that it compiles cleanly and includes all the appropriate HTML files. --- win/makefile.vc | 14 +++++++------- 1 file changed, 7 insertions(+), 7 deletions(-) diff --git a/win/makefile.vc b/win/makefile.vc index eb9a594..7c65aea 100644 --- a/win/makefile.vc +++ b/win/makefile.vc @@ -747,7 +747,7 @@ htmlhelp: chmsetup $(CHMFILE) $(CHMFILE): $(DOCDIR)\* @$(TCLSH) $(TOOLSDIR)\tcltk-man2html.tcl @echo Compiling HTML help project - @$(HHC) <<$(HHPFILE) >NUL + -$(HHC) <<$(HHPFILE) >NUL [OPTIONS] Compatibility=1.1 or later Compiled file=$(HTMLBASE).chm @@ -758,12 +758,12 @@ Title=Tcl/Tk $(DOT_VERSION) Help [FILES] contents.htm docs.css -Keywords -TclCmd -TclLib -TkCmd -TkLib -UserCmd +Keywords\*.htm +TclCmd\*.htm +TclLib\*.htm +TkCmd\*.htm +TkLib\*.htm +UserCmd\*.htm << chmsetup: -- cgit v0.12 From 5842060393afb827aa8caa426fdd32a58e7f8005 Mon Sep 17 00:00:00 2001 From: Joe Mistachkin Date: Wed, 10 Aug 2016 03:13:46 +0000 Subject: Set the default topic, enable full-text search, and put all help output files under OUT_DIR. --- win/makefile.vc | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/win/makefile.vc b/win/makefile.vc index 7c65aea..f401541 100644 --- a/win/makefile.vc +++ b/win/makefile.vc @@ -737,7 +737,7 @@ gentommath_h: !ifndef HHC HHC=""%ProgramFiles%\HTML Help Workshop\hhc.exe"" !endif -HTMLDIR=$(ROOT)\html +HTMLDIR=$(OUT_DIR)\html HTMLBASE=TclTk$(VERSION) HHPFILE=$(HTMLDIR)\$(HTMLBASE).hhp CHMFILE=$(HTMLDIR)\$(HTMLBASE).chm @@ -745,14 +745,16 @@ CHMFILE=$(HTMLDIR)\$(HTMLBASE).chm htmlhelp: chmsetup $(CHMFILE) $(CHMFILE): $(DOCDIR)\* - @$(TCLSH) $(TOOLSDIR)\tcltk-man2html.tcl + @$(TCLSH) $(TOOLSDIR)\tcltk-man2html.tcl "--htmldir=$(HTMLDIR)" @echo Compiling HTML help project -$(HHC) <<$(HHPFILE) >NUL [OPTIONS] Compatibility=1.1 or later Compiled file=$(HTMLBASE).chm +Default topic=contents.htm Display compile progress=no Error log file=$(HTMLBASE).log +Full-text search=Yes Language=0x409 English (United States) Title=Tcl/Tk $(DOT_VERSION) Help [FILES] -- cgit v0.12 From a6063330c474dde9b388bfeda1b1bb746aebf23a Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 26 Aug 2016 13:46:37 +0000 Subject: Merge dup-removal into search loop so we avoid pre-processing efforts on data that are never used. Contributed patch from Brian Griffin. --- library/auto.tcl | 11 +++-------- 1 file changed, 3 insertions(+), 8 deletions(-) diff --git a/library/auto.tcl b/library/auto.tcl index 02edcc4..97ea8af 100644 --- a/library/auto.tcl +++ b/library/auto.tcl @@ -122,11 +122,9 @@ proc tcl_findLibrary {basename version patch initScript enVarName varName} { # uniquify $dirs in order array set seen {} foreach i $dirs { - # Take note that the [file normalize] below has been noted to cause - # difficulties for the freewrap utility. See Bug 1072136. Until - # freewrap resolves the matter, one might work around the problem by - # disabling that branch. + # Make sure $i is unique under normalization. Avoid repeated [source]. if {[interp issafe]} { + # Safe interps have no [file normalize]. set norm $i } else { set norm [file normalize $i] @@ -135,10 +133,7 @@ proc tcl_findLibrary {basename version patch initScript enVarName varName} { continue } set seen($norm) {} - lappend uniqdirs $i - } - set dirs $uniqdirs - foreach i $dirs { + set the_library $i set file [file join $i $initScript] -- cgit v0.12 From d84492f3906d20d05b547a4fa90286fe0a59bb37 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 30 Aug 2016 13:00:32 +0000 Subject: Don't ever allow UTF-8 sequences of more than 4 characters to be generated or parsed, even when TCL_UTF_MAX>4: According to current Unicode standard, a byte string of >4 characters can never form a single UTF-8 character. And a few minor micro-optimizations related to UTF-8 handling. --- generic/tclUtf.c | 68 ++++++++++++++++++++------------------------------------ 1 file changed, 24 insertions(+), 44 deletions(-) diff --git a/generic/tclUtf.c b/generic/tclUtf.c index b878149..68119a4 100644 --- a/generic/tclUtf.c +++ b/generic/tclUtf.c @@ -73,16 +73,7 @@ static const unsigned char totalBytes[256] = { #else 1,1,1,1,1,1,1,1, #endif -#if TCL_UTF_MAX > 4 - 5,5,5,5, -#else - 1,1,1,1, -#endif -#if TCL_UTF_MAX > 5 - 6,6,6,6 -#else - 1,1,1,1 -#endif + 1,1,1,1,1,1,1,1 }; /* @@ -111,14 +102,14 @@ INLINE static int UtfCount( int ch) /* The Tcl_UniChar whose size is returned. */ { - if ((ch > 0) && (ch < UNICODE_SELF)) { + if ((unsigned)(ch - 1) < (UNICODE_SELF - 1)) { return 1; } if (ch <= 0x7FF) { return 2; } #if TCL_UTF_MAX > 3 - if ((ch > 0xFFFF) && (ch <= 0x10FFFF)) { + if (((unsigned)(ch - 0x10000) <= 0xfffff)) { return 4; } #endif @@ -152,7 +143,7 @@ Tcl_UniCharToUtf( * large enough to hold the UTF-8 character * (at most TCL_UTF_MAX bytes). */ { - if ((ch > 0) && (ch < UNICODE_SELF)) { + if ((unsigned)(ch - 1) < (UNICODE_SELF - 1)) { buf[0] = (char) ch; return 1; } @@ -180,11 +171,7 @@ Tcl_UniCharToUtf( } } #endif - three: - buf[2] = (char) ((ch | 0x80) & 0xBF); - buf[1] = (char) (((ch >> 6) | 0x80) & 0xBF); - buf[0] = (char) ((ch >> 12) | 0xE0); - return 3; + goto three; } #if TCL_UTF_MAX > 3 @@ -199,7 +186,11 @@ Tcl_UniCharToUtf( } ch = 0xFFFD; - goto three; +three: + buf[2] = (char) ((ch | 0x80) & 0xBF); + buf[1] = (char) (((ch >> 6) | 0x80) & 0xBF); + buf[0] = (char) ((ch >> 12) | 0xE0); + return 3; } /* @@ -314,9 +305,6 @@ Tcl_UtfToUniChar( * A two-byte-character lead-byte not followed by trail-byte * represents itself. */ - - *chPtr = (Tcl_UniChar) byte; - return 1; } else if (byte < 0xF0) { if (((src[1] & 0xC0) == 0x80) && ((src[2] & 0xC0) == 0x80)) { /* @@ -332,31 +320,23 @@ Tcl_UtfToUniChar( * A three-byte-character lead-byte not followed by two trail-bytes * represents itself. */ - - *chPtr = (Tcl_UniChar) byte; - return 1; } #if TCL_UTF_MAX > 3 - { - int ch, total, trail; - - total = totalBytes[byte]; - trail = total - 1; - if (trail > 0) { - ch = byte & (0x3F >> trail); - do { - src++; - if ((*src & 0xC0) != 0x80) { - *chPtr = byte; - return 1; - } - ch <<= 6; - ch |= (*src & 0x3F); - trail--; - } while (trail > 0); - *chPtr = ch; - return total; + else if (byte < 0xF8) { + if (((src[1] & 0xC0) == 0x80) && ((src[2] & 0xC0) == 0x80) && ((src[3] & 0xC0) == 0x80)) { + /* + * Four-byte-character lead byte followed by three trail bytes. + */ + + *chPtr = (Tcl_UniChar) (((byte & 0x0E) << 18) | ((src[1] & 0x3F) << 12) + | ((src[2] & 0x3F) << 6) | (src[3] & 0x3F)); + return 4; } + + /* + * A three-byte-character lead-byte not followed by two trail-bytes + * represents itself. + */ } #endif -- cgit v0.12 From 68caa10ca3562292a830860aaa37289795fe68b7 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 2 Sep 2016 12:11:01 +0000 Subject: Proposed patch for [d4e7780ca1681cd095dbd81fe264feff75c988f7|d4e7780ca1], by Gustaf Neumann --- generic/tclCompExpr.c | 2 +- generic/tclCompile.c | 16 ++++-- generic/tclCompile.h | 5 +- generic/tclEnsemble.c | 9 +++- generic/tclInt.h | 10 ++-- generic/tclLiteral.c | 33 ++++++++---- generic/tclNamesp.c | 3 ++ generic/tclObj.c | 9 +++- generic/tclTest.c | 104 ++++++++++++++++++++++++++++++------- tests/resolver.test | 141 ++++++++++++++++++++++++++++++++++++++++++++++---- 10 files changed, 279 insertions(+), 53 deletions(-) diff --git a/generic/tclCompExpr.c b/generic/tclCompExpr.c index 4390282..ab5e8af 100644 --- a/generic/tclCompExpr.c +++ b/generic/tclCompExpr.c @@ -2272,7 +2272,7 @@ CompileExprTree( Tcl_DStringAppend(&cmdName, p, length); TclEmitPush(TclRegisterNewCmdLiteral(envPtr, Tcl_DStringValue(&cmdName), - Tcl_DStringLength(&cmdName)), envPtr); + Tcl_DStringLength(&cmdName), 0), envPtr); Tcl_DStringFree(&cmdName); /* diff --git a/generic/tclCompile.c b/generic/tclCompile.c index c0203dd..4e4ead6 100644 --- a/generic/tclCompile.c +++ b/generic/tclCompile.c @@ -1781,10 +1781,20 @@ CompileCmdLiteral( CompileEnv *envPtr) { int numBytes; - const char *bytes = Tcl_GetStringFromObj(cmdObj, &numBytes); - int cmdLitIdx = TclRegisterNewCmdLiteral(envPtr, bytes, numBytes); - Command *cmdPtr = (Command *) Tcl_GetCommandFromObj(interp, cmdObj); + const char *bytes; + Command *cmdPtr; + int cmdLitIdx, extraLiteralFlags = 0; + + cmdPtr = (Command *) Tcl_GetCommandFromObj(interp, cmdObj); + if (cmdPtr != NULL) { + if ((cmdPtr->flags & CMD_VIA_RESOLVER)) { + extraLiteralFlags = LITERAL_UNSHARED; + } + } + bytes = Tcl_GetStringFromObj(cmdObj, &numBytes); + cmdLitIdx = TclRegisterNewCmdLiteral(envPtr, bytes, numBytes, extraLiteralFlags); + if (cmdPtr) { TclSetCmdNameObj(interp, TclFetchLiteral(envPtr, cmdLitIdx), cmdPtr); } diff --git a/generic/tclCompile.h b/generic/tclCompile.h index d5bc86b..fa76f83 100644 --- a/generic/tclCompile.h +++ b/generic/tclCompile.h @@ -1208,6 +1208,7 @@ MODULE_SCOPE int TclPushProcCallFrame(ClientData clientData, #define LITERAL_ON_HEAP 0x01 #define LITERAL_CMD_NAME 0x02 +#define LITERAL_UNSHARED 0x04 /* * Form of TclRegisterLiteral with flags == 0. In that case, it is safe to @@ -1229,8 +1230,8 @@ MODULE_SCOPE int TclPushProcCallFrame(ClientData clientData, * int length); */ -#define TclRegisterNewCmdLiteral(envPtr, bytes, length) \ - TclRegisterLiteral(envPtr, (char *)(bytes), length, LITERAL_CMD_NAME) +#define TclRegisterNewCmdLiteral(envPtr, bytes, length, extraLiteralFlags) \ + TclRegisterLiteral(envPtr, (char *)(bytes), length, ((extraLiteralFlags)|LITERAL_CMD_NAME)) /* * Macro used to manually adjust the stack requirements; used in cases where diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index 8e5e410..22c475f 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -3306,7 +3306,7 @@ CompileToInvokedCommand( Tcl_Token *tokPtr; Tcl_Obj *objPtr, **words; char *bytes; - int length, i, numWords, cmdLit; + int length, i, numWords, cmdLit, extraLiteralFlags = 0; DefineLineInformation; /* @@ -3349,7 +3349,12 @@ CompileToInvokedCommand( objPtr = Tcl_NewObj(); Tcl_GetCommandFullName(interp, (Tcl_Command) cmdPtr, objPtr); bytes = Tcl_GetStringFromObj(objPtr, &length); - cmdLit = TclRegisterNewCmdLiteral(envPtr, bytes, length); + if (cmdPtr != NULL) { + if ((cmdPtr->flags & CMD_VIA_RESOLVER)) { + extraLiteralFlags = LITERAL_UNSHARED; + } + } + cmdLit = TclRegisterNewCmdLiteral(envPtr, bytes, length, extraLiteralFlags); TclSetCmdNameObj(interp, TclFetchLiteral(envPtr, cmdLit), cmdPtr); TclEmitPush(cmdLit, envPtr); TclDecrRefCount(objPtr); diff --git a/generic/tclInt.h b/generic/tclInt.h index 4f7ea6e..4d3c0b1 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -1677,11 +1677,13 @@ typedef struct Command { * (these last two flags are defined in tcl.h) */ -#define CMD_IS_DELETED 0x1 -#define CMD_TRACE_ACTIVE 0x2 -#define CMD_HAS_EXEC_TRACES 0x4 -#define CMD_COMPILES_EXPANDED 0x8 +#define CMD_IS_DELETED 0x01 +#define CMD_TRACE_ACTIVE 0x02 +#define CMD_HAS_EXEC_TRACES 0x04 +#define CMD_COMPILES_EXPANDED 0x08 #define CMD_REDEF_IN_PROGRESS 0x10 +#define CMD_VIA_RESOLVER 0x20 + /* *---------------------------------------------------------------- diff --git a/generic/tclLiteral.c b/generic/tclLiteral.c index 03200ca..864d050 100644 --- a/generic/tclLiteral.c +++ b/generic/tclLiteral.c @@ -214,15 +214,16 @@ TclCreateLiteral( if (globalPtrPtr) { *globalPtrPtr = globalPtr; } - if (flags & LITERAL_ON_HEAP) { + if ((flags & LITERAL_ON_HEAP)) { ckfree(bytes); } globalPtr->refCount++; return objPtr; } } + if (!newPtr) { - if (flags & LITERAL_ON_HEAP) { + if ((flags & LITERAL_ON_HEAP)) { ckfree(bytes); } return NULL; @@ -235,13 +236,24 @@ TclCreateLiteral( TclNewObj(objPtr); Tcl_IncrRefCount(objPtr); - if (flags & LITERAL_ON_HEAP) { + if ((flags & LITERAL_ON_HEAP)) { objPtr->bytes = bytes; objPtr->length = length; } else { TclInitStringRep(objPtr, bytes, length); } + if ((flags & LITERAL_UNSHARED)) { + /* + * Make clear, that no global value is returned + */ + if (globalPtrPtr != NULL) { + *globalPtrPtr = NULL; + } + /*fprintf(stderr, "UNSHARED LITERAL <%s>\n", bytes);*/ + return objPtr; + } + #ifdef TCL_COMPILE_DEBUG if (LookupLiteralEntry((Tcl_Interp *) iPtr, objPtr) != NULL) { Tcl_Panic("%s: literal \"%.*s\" found globally but shouldn't be", @@ -417,7 +429,7 @@ TclRegisterLiteral( * the namespace as the interp's global NS. */ - if (flags & LITERAL_CMD_NAME) { + if ((flags & LITERAL_CMD_NAME)) { if ((length >= 2) && (bytes[0] == ':') && (bytes[1] == ':')) { nsPtr = iPtr->globalNsPtr; } else { @@ -426,17 +438,17 @@ TclRegisterLiteral( } else { nsPtr = NULL; } - + /* * Is it in the interpreter's global literal table? If not, create it. */ - + globalPtr = NULL; objPtr = TclCreateLiteral(iPtr, bytes, length, hash, &new, nsPtr, flags, &globalPtr); objIndex = AddLocalLiteralEntry(envPtr, objPtr, localHash); #ifdef TCL_COMPILE_DEBUG - if (globalPtr->refCount < 1) { + if (globalPtr != NULL && globalPtr->refCount < 1) { Tcl_Panic("%s: global literal \"%.*s\" had bad refCount %d", "TclRegisterLiteral", (length>60? 60 : length), bytes, globalPtr->refCount); @@ -1155,9 +1167,10 @@ TclVerifyLocalLiteralTable( if (LookupLiteralEntry((Tcl_Interp *) envPtr->iPtr, localPtr->objPtr) == NULL) { bytes = Tcl_GetStringFromObj(localPtr->objPtr, &length); - Tcl_Panic("%s: local literal \"%.*s\" is not global", - "TclVerifyLocalLiteralTable", - (length>60? 60 : length), bytes); + //Tcl_Panic("%s: local literal \"%.*s\" is not global", + // "TclVerifyLocalLiteralTable", + // (length>60? 60 : length), bytes); + /*fprintf(stderr, "local literal \"%s\" is not global\n",bytes);*/ } if (localPtr->objPtr->bytes == NULL) { Tcl_Panic("%s: literal has NULL string rep", diff --git a/generic/tclNamesp.c b/generic/tclNamesp.c index 5930859..a8d351f 100644 --- a/generic/tclNamesp.c +++ b/generic/tclNamesp.c @@ -2566,7 +2566,9 @@ Tcl_FindCommand( } if (result == TCL_OK) { + ((Command *)cmd)->flags |= CMD_VIA_RESOLVER; return cmd; + } else if (result != TCL_CONTINUE) { return NULL; } @@ -2658,6 +2660,7 @@ Tcl_FindCommand( } if (cmdPtr != NULL) { + cmdPtr->flags &= ~CMD_VIA_RESOLVER; return (Tcl_Command) cmdPtr; } diff --git a/generic/tclObj.c b/generic/tclObj.c index 628c3a7..661ab48 100644 --- a/generic/tclObj.c +++ b/generic/tclObj.c @@ -4219,7 +4219,10 @@ TclSetCmdNameObj( const char *name; if (objPtr->typePtr == &tclCmdNameType) { - return; + resPtr = objPtr->internalRep.twoPtrValue.ptr1; + if (resPtr->cmdPtr == cmdPtr) { + return; + } } cmdPtr->refCount++; @@ -4397,7 +4400,9 @@ SetCmdNameFromAny( cmdPtr->refCount++; resPtr = objPtr->internalRep.twoPtrValue.ptr1; if ((objPtr->typePtr == &tclCmdNameType) - && resPtr && (resPtr->refCount == 1)) { + && resPtr != NULL + && (resPtr->refCount == 1) + ) { /* * Reuse the old ResolvedCmdName struct instead of freeing it */ diff --git a/generic/tclTest.c b/generic/tclTest.c index e33d263..522e966 100644 --- a/generic/tclTest.c +++ b/generic/tclTest.c @@ -7295,29 +7295,88 @@ InterpCmdResolver( int flags, Tcl_Command *rPtr) { - Interp *iPtr = (Interp *) interp; - CallFrame *varFramePtr = iPtr->varFramePtr; - Proc *procPtr = (varFramePtr->isProcCallFrame & FRAME_IS_PROC) ? - varFramePtr->procPtr : NULL; - Namespace *ns2NsPtr = (Namespace *) - Tcl_FindNamespace(interp, "::ns2", NULL, 0); - - if (procPtr && (procPtr->cmdPtr->nsPtr == iPtr->globalNsPtr - || (ns2NsPtr && procPtr->cmdPtr->nsPtr == ns2NsPtr))) { - const char *callingCmdName = + Interp *iPtr = (Interp *) interp; + CallFrame *varFramePtr = iPtr->varFramePtr; + Proc *procPtr = (varFramePtr->isProcCallFrame & FRAME_IS_PROC) ? varFramePtr->procPtr : NULL; + Namespace *callerNsPtr = varFramePtr->nsPtr; + Tcl_Command resolvedCmdPtr = NULL; + + /* + * Just do something special on a cmd literal "z" in two cases: + * A) when the caller is a proc "x", and the proc is either in "::" or in "::ns2". + * B) the caller's namespace is "ctx1" or "ctx2" + */ + if ( (name[0] == 'z') && (name[1] == '\0') ) { + Namespace *ns2NsPtr = (Namespace *) Tcl_FindNamespace(interp, "::ns2", NULL, 0); + + if (procPtr != NULL + && ((procPtr->cmdPtr->nsPtr == iPtr->globalNsPtr) + || (ns2NsPtr != NULL && procPtr->cmdPtr->nsPtr == ns2NsPtr) + ) + ) { + /* + * Case A) + * + * - The context, in which this resolver becomes active, is + * determined by the name of the caller proc, which has to be + * named "x". + * + * - To determine the name of the caller proc, the proc is taken + * from the topmost stack frame. + * + * - Note that the context is NOT provided during byte-code + * compilation (e.g. in TclProcCompileProc) + * + * When these conditions hold, this function resolves the + * passed-in cmd literal into a cmd "y", which is taken from the + * the global namespace (for simplicity). + */ + + const char *callingCmdName = Tcl_GetCommandName(interp, (Tcl_Command) procPtr->cmdPtr); + + if ( callingCmdName[0] == 'x' && callingCmdName[1] == '\0' ) { + resolvedCmdPtr = Tcl_FindCommand(interp, "y", NULL, TCL_GLOBAL_ONLY); + } + } else if (callerNsPtr != NULL) { + /* + * Case B) + * + * - The context, in which this resolver becomes active, is + * determined by the name of the parent namespace, which has + * to be named "ctx1" or "ctx2". + * + * - To determine the name of the parent namesace, it is taken + * from the 2nd highest stack frame. + * + * - Note that the context can be provided during byte-code + * compilation (e.g. in TclProcCompileProc) + * + * When these conditions hold, this function resolves the + * passed-in cmd literal into a cmd "y" or "Y" depending on the + * context. The resolved procs are taken from the the global + * namespace (for simplicity). + */ - if ((callingCmdName[0] == 'x') && (callingCmdName[1] == '\0') - && (name[0] == 'z') && (name[1] == '\0')) { - Tcl_Command sourceCmdPtr = Tcl_FindCommand(interp, "y", NULL, - TCL_GLOBAL_ONLY); + CallFrame *parentFramePtr = varFramePtr->callerPtr; + char *context = parentFramePtr != NULL ? parentFramePtr->nsPtr->name : "(NULL)"; - if (sourceCmdPtr != NULL) { - *rPtr = sourceCmdPtr; - return TCL_OK; + if (strcmp(context, "ctx1") == 0 && (name[0] == 'z') && (name[1] == '\0')) { + resolvedCmdPtr = Tcl_FindCommand(interp, "y", NULL, TCL_GLOBAL_ONLY); + /* fprintf(stderr, "... y ==> %p\n", resolvedCmdPtr);*/ + + } else if (strcmp(context, "ctx2") == 0 && (name[0] == 'z') && (name[1] == '\0')) { + resolvedCmdPtr = Tcl_FindCommand(interp, "Y", NULL, TCL_GLOBAL_ONLY); + /*fprintf(stderr, "... Y ==> %p\n", resolvedCmdPtr);*/ } } + + if (resolvedCmdPtr != NULL) { + *rPtr = resolvedCmdPtr; + return TCL_OK; + } } + return TCL_CONTINUE; } @@ -7449,10 +7508,17 @@ TestInterpResolverCmd( int idx; #define RESOLVER_KEY "testInterpResolver" - if (objc != 2) { - Tcl_WrongNumArgs(interp, 1, objv, "up|down"); + if (objc < 2 || objc >3) { + Tcl_WrongNumArgs(interp, 1, objv, "up|down ?interp?"); return TCL_ERROR; } + if (objc == 3) { + interp = Tcl_GetSlave(interp, Tcl_GetString(objv[2])); + if (interp == NULL) { + Tcl_AppendResult(interp, "provided interpreter not found", NULL); + return TCL_ERROR; + } + } if (Tcl_GetIndexFromObj(interp, objv[1], table, "operation", TCL_EXACT, &idx) != TCL_OK) { return TCL_ERROR; diff --git a/tests/resolver.test b/tests/resolver.test index f3d22e5..01e2e0b 100644 --- a/tests/resolver.test +++ b/tests/resolver.test @@ -38,10 +38,12 @@ test resolver-1.1 {cmdNameObj sharing vs. cmd resolver: namespace import} -setup # is turned into a command literal shared for a given (here: the global) # namespace. set r0 [x]; # --> The result of [x] is "Y" + # 2) After having requested cmd resolution above, we can now use the # globally shared CmdName Tcl_Obj "z", now bound to cmd ::y. This is # certainly questionable, but defensible set r1 [z]; # --> The result of [z] is "Y" + # 3) We import from the namespace ns1 another z. [namespace import] takes # care "shadowed" cmd references, however, till now cmd literals have not # been touched. This is, however, necessary since the BC compiler (used in @@ -59,12 +61,12 @@ test resolver-1.1 {cmdNameObj sharing vs. cmd resolver: namespace import} -setup rename ::y "" namespace delete ::ns1 } -result {Y Y Z} + + test resolver-1.2 {cmdNameObj sharing vs. cmd resolver: proc creation} -setup { testinterpresolver up proc ::y {} { return Y } - proc ::x {} { - z - } + proc ::x {} { z } } -constraints testinterpresolver -body { set r0 [x] set r1 [z] @@ -80,6 +82,8 @@ test resolver-1.2 {cmdNameObj sharing vs. cmd resolver: proc creation} -setup { rename ::foo "" rename ::z "" } -result {Y Y Z} + + test resolver-1.3 {cmdNameObj sharing vs. cmd resolver: rename} -setup { testinterpresolver up proc ::Z {} { return Z } @@ -101,6 +105,8 @@ test resolver-1.3 {cmdNameObj sharing vs. cmd resolver: rename} -setup { rename ::y "" rename ::z "" } -result {Y Y Z} + + test resolver-1.4 {cmdNameObj sharing vs. cmd resolver: interp expose} -setup { testinterpresolver up proc ::Z {} { return Z } @@ -123,6 +129,8 @@ test resolver-1.4 {cmdNameObj sharing vs. cmd resolver: interp expose} -setup { rename ::y "" rename ::z "" } -result {Y Y Z} + + test resolver-1.5 {cmdNameObj sharing vs. cmd resolver: other than global NS} -setup { testinterpresolver up namespace eval ::ns1 { @@ -131,9 +139,7 @@ test resolver-1.5 {cmdNameObj sharing vs. cmd resolver: other than global NS} -s } proc ::y {} { return Y } namespace eval ::ns2 { - proc x {} { - z - } + proc x {} { z } } namespace eval :: { variable r2 "" @@ -151,13 +157,13 @@ test resolver-1.5 {cmdNameObj sharing vs. cmd resolver: other than global NS} -s namespace delete ::ns2 namespace delete ::ns1 } -result {Y Y Z} + + test resolver-1.6 {cmdNameObj sharing vs. cmd resolver: interp alias} -setup { testinterpresolver up proc ::Z {} { return Z } proc ::y {} { return Y } - proc ::x {} { - z - } + proc ::x {} { z } } -constraints testinterpresolver -body { set r0 [x] set r1 [z] @@ -187,7 +193,7 @@ test resolver-2.1 {compiled var resolver: Bug #3383616} -setup { # During the compilation the compiled var resolver, the resolve-specific # var info is allocated, during the execution of the body, the variable is # fetched and cached. - x; + x # During later calls, the cached variable is reused. x # When the proc is freed, the resolver-specific resolver var info is @@ -196,6 +202,121 @@ test resolver-2.1 {compiled var resolver: Bug #3383616} -setup { } -cleanup { testinterpresolver down } -result {} + + +# +# The test resolver-3.1* test bad interactions of resolvers on the "global" +# (per interp) literal pools. A resolver might resolve a cmd literal depending +# on a context differently, whereas the cmd literal sharing assumed that the +# namespace containing the literal solely determines the resolved cmd (and is +# resolver-agnostic). +# +# In order to make the test cases for the per-interpreter cmd literal pool +# reproducable and to minimize interactions between test cases, we use a slave +# interpreter per test-case. +# +# +# Testing resolver in namespace-based context "ctx1" +# +test resolver-3.1a { + interp command resolver, + resolve literal "z" in proc "x1" in context "ctx1" +} -setup { + + interp create i0 + testinterpresolver up i0 + i0 eval { + proc y {} { return yy } + namespace eval ::ns { + proc x1 {} { z } + } + } +} -constraints testinterpresolver -body { + + set r [i0 eval {namespace eval ::ctx1 { + ::ns::x1 + }}] + + return $r +} -cleanup { + testinterpresolver down i0 + interp delete i0 +} -result {yy} + +# +# Testing resolver in namespace-based context "ctx2" +# +test resolver-3.1b { + interp command resolver, + resolve literal "z" in proc "x2" in context "ctx2" +} -setup { + + interp create i0 + testinterpresolver up i0 + i0 eval { + proc Y {} { return YY } + namespace eval ::ns { + proc x2 {} { z } + } + } +} -constraints testinterpresolver -body { + + set r [i0 eval {namespace eval ::ctx2 { + ::ns::x2 + }}] + + return $r +} -cleanup { + testinterpresolver down i0 + interp delete i0 +} -result {YY} + +# +# Testing resolver in namespace-based context "ctx1" and "ctx2" in the same +# interpreter. +# + +test resolver-3.1c { + interp command resolver, + resolve literal "z" in proc "x1" in context "ctx1", + resolve literal "z" in proc "x2" in context "ctx2" + + Test, whether the shared cmd literal created by the first byte-code + compilation interacts with the second one. +} -setup { + + interp create i0 + testinterpresolver up i0 + + i0 eval { + proc y {} { return yy } + proc Y {} { return YY } + namespace eval ::ns { + proc x1 {} { z } + proc x2 {} { z } + } + } + +} -constraints testinterpresolver -body { + + set r1 [i0 eval {namespace eval ::ctx1 { + ::ns::x1 + }}] + + set r2 [i0 eval {namespace eval ::ctx2 { + ::ns::x2 + }}] + + set r3 [i0 eval {namespace eval ::ctx1 { + ::ns::x1 + }}] + + return [list $r1 $r2 $r3] +} -cleanup { + testinterpresolver down i0 + interp delete i0 +} -result {yy YY yy} + cleanupTests return -- cgit v0.12 From b41a44e3942c841677cdcf7cd46be77c5c27ab08 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 5 Sep 2016 13:14:45 +0000 Subject: Some patch clean-up, no change in functionality --- generic/tclCompExpr.c | 2 +- generic/tclCompile.c | 4 ++-- generic/tclCompile.h | 4 ++-- generic/tclEnsemble.c | 2 +- generic/tclLiteral.c | 20 ++++++++------------ generic/tclTest.c | 18 +++++++++--------- tests/resolver.test | 26 ++++++++++---------------- 7 files changed, 33 insertions(+), 43 deletions(-) diff --git a/generic/tclCompExpr.c b/generic/tclCompExpr.c index ab5e8af..4390282 100644 --- a/generic/tclCompExpr.c +++ b/generic/tclCompExpr.c @@ -2272,7 +2272,7 @@ CompileExprTree( Tcl_DStringAppend(&cmdName, p, length); TclEmitPush(TclRegisterNewCmdLiteral(envPtr, Tcl_DStringValue(&cmdName), - Tcl_DStringLength(&cmdName), 0), envPtr); + Tcl_DStringLength(&cmdName)), envPtr); Tcl_DStringFree(&cmdName); /* diff --git a/generic/tclCompile.c b/generic/tclCompile.c index 4e4ead6..ee36bff 100644 --- a/generic/tclCompile.c +++ b/generic/tclCompile.c @@ -1793,8 +1793,8 @@ CompileCmdLiteral( } bytes = Tcl_GetStringFromObj(cmdObj, &numBytes); - cmdLitIdx = TclRegisterNewCmdLiteral(envPtr, bytes, numBytes, extraLiteralFlags); - + cmdLitIdx = TclRegisterLiteral(envPtr, (char *)bytes, numBytes, extraLiteralFlags|LITERAL_CMD_NAME); + if (cmdPtr) { TclSetCmdNameObj(interp, TclFetchLiteral(envPtr, cmdLitIdx), cmdPtr); } diff --git a/generic/tclCompile.h b/generic/tclCompile.h index fa76f83..ba6ad44 100644 --- a/generic/tclCompile.h +++ b/generic/tclCompile.h @@ -1230,8 +1230,8 @@ MODULE_SCOPE int TclPushProcCallFrame(ClientData clientData, * int length); */ -#define TclRegisterNewCmdLiteral(envPtr, bytes, length, extraLiteralFlags) \ - TclRegisterLiteral(envPtr, (char *)(bytes), length, ((extraLiteralFlags)|LITERAL_CMD_NAME)) +#define TclRegisterNewCmdLiteral(envPtr, bytes, length) \ + TclRegisterLiteral(envPtr, (char *)(bytes), length, LITERAL_CMD_NAME) /* * Macro used to manually adjust the stack requirements; used in cases where diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index 22c475f..67ee65e 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -3354,7 +3354,7 @@ CompileToInvokedCommand( extraLiteralFlags = LITERAL_UNSHARED; } } - cmdLit = TclRegisterNewCmdLiteral(envPtr, bytes, length, extraLiteralFlags); + cmdLit = TclRegisterLiteral(envPtr, (char *)bytes, length, extraLiteralFlags|LITERAL_CMD_NAME); TclSetCmdNameObj(interp, TclFetchLiteral(envPtr, cmdLit), cmdPtr); TclEmitPush(cmdLit, envPtr); TclDecrRefCount(objPtr); diff --git a/generic/tclLiteral.c b/generic/tclLiteral.c index 864d050..484b86b 100644 --- a/generic/tclLiteral.c +++ b/generic/tclLiteral.c @@ -214,16 +214,15 @@ TclCreateLiteral( if (globalPtrPtr) { *globalPtrPtr = globalPtr; } - if ((flags & LITERAL_ON_HEAP)) { + if (flags & LITERAL_ON_HEAP) { ckfree(bytes); } globalPtr->refCount++; return objPtr; } } - if (!newPtr) { - if ((flags & LITERAL_ON_HEAP)) { + if (flags & LITERAL_ON_HEAP) { ckfree(bytes); } return NULL; @@ -236,15 +235,15 @@ TclCreateLiteral( TclNewObj(objPtr); Tcl_IncrRefCount(objPtr); - if ((flags & LITERAL_ON_HEAP)) { + if (flags & LITERAL_ON_HEAP) { objPtr->bytes = bytes; objPtr->length = length; } else { TclInitStringRep(objPtr, bytes, length); } - if ((flags & LITERAL_UNSHARED)) { - /* + if (flags & LITERAL_UNSHARED) { + /* * Make clear, that no global value is returned */ if (globalPtrPtr != NULL) { @@ -429,7 +428,7 @@ TclRegisterLiteral( * the namespace as the interp's global NS. */ - if ((flags & LITERAL_CMD_NAME)) { + if (flags & LITERAL_CMD_NAME) { if ((length >= 2) && (bytes[0] == ':') && (bytes[1] == ':')) { nsPtr = iPtr->globalNsPtr; } else { @@ -438,10 +437,11 @@ TclRegisterLiteral( } else { nsPtr = NULL; } - + /* * Is it in the interpreter's global literal table? If not, create it. */ + globalPtr = NULL; objPtr = TclCreateLiteral(iPtr, bytes, length, hash, &new, nsPtr, flags, &globalPtr); @@ -1167,10 +1167,6 @@ TclVerifyLocalLiteralTable( if (LookupLiteralEntry((Tcl_Interp *) envPtr->iPtr, localPtr->objPtr) == NULL) { bytes = Tcl_GetStringFromObj(localPtr->objPtr, &length); - //Tcl_Panic("%s: local literal \"%.*s\" is not global", - // "TclVerifyLocalLiteralTable", - // (length>60? 60 : length), bytes); - /*fprintf(stderr, "local literal \"%s\" is not global\n",bytes);*/ } if (localPtr->objPtr->bytes == NULL) { Tcl_Panic("%s: literal has NULL string rep", diff --git a/generic/tclTest.c b/generic/tclTest.c index 522e966..1e595d6 100644 --- a/generic/tclTest.c +++ b/generic/tclTest.c @@ -7308,21 +7308,21 @@ InterpCmdResolver( */ if ( (name[0] == 'z') && (name[1] == '\0') ) { Namespace *ns2NsPtr = (Namespace *) Tcl_FindNamespace(interp, "::ns2", NULL, 0); - + if (procPtr != NULL && ((procPtr->cmdPtr->nsPtr == iPtr->globalNsPtr) || (ns2NsPtr != NULL && procPtr->cmdPtr->nsPtr == ns2NsPtr) ) ) { /* - * Case A) + * Case A) * * - The context, in which this resolver becomes active, is * determined by the name of the caller proc, which has to be * named "x". * * - To determine the name of the caller proc, the proc is taken - * from the topmost stack frame. + * from the topmost stack frame. * * - Note that the context is NOT provided during byte-code * compilation (e.g. in TclProcCompileProc) @@ -7331,23 +7331,23 @@ InterpCmdResolver( * passed-in cmd literal into a cmd "y", which is taken from the * the global namespace (for simplicity). */ - + const char *callingCmdName = Tcl_GetCommandName(interp, (Tcl_Command) procPtr->cmdPtr); - + if ( callingCmdName[0] == 'x' && callingCmdName[1] == '\0' ) { resolvedCmdPtr = Tcl_FindCommand(interp, "y", NULL, TCL_GLOBAL_ONLY); } } else if (callerNsPtr != NULL) { /* - * Case B) + * Case B) * * - The context, in which this resolver becomes active, is * determined by the name of the parent namespace, which has * to be named "ctx1" or "ctx2". * * - To determine the name of the parent namesace, it is taken - * from the 2nd highest stack frame. + * from the 2nd highest stack frame. * * - Note that the context can be provided during byte-code * compilation (e.g. in TclProcCompileProc) @@ -7364,13 +7364,13 @@ InterpCmdResolver( if (strcmp(context, "ctx1") == 0 && (name[0] == 'z') && (name[1] == '\0')) { resolvedCmdPtr = Tcl_FindCommand(interp, "y", NULL, TCL_GLOBAL_ONLY); /* fprintf(stderr, "... y ==> %p\n", resolvedCmdPtr);*/ - + } else if (strcmp(context, "ctx2") == 0 && (name[0] == 'z') && (name[1] == '\0')) { resolvedCmdPtr = Tcl_FindCommand(interp, "Y", NULL, TCL_GLOBAL_ONLY); /*fprintf(stderr, "... Y ==> %p\n", resolvedCmdPtr);*/ } } - + if (resolvedCmdPtr != NULL) { *rPtr = resolvedCmdPtr; return TCL_OK; diff --git a/tests/resolver.test b/tests/resolver.test index 01e2e0b..dc38ff0 100644 --- a/tests/resolver.test +++ b/tests/resolver.test @@ -38,12 +38,10 @@ test resolver-1.1 {cmdNameObj sharing vs. cmd resolver: namespace import} -setup # is turned into a command literal shared for a given (here: the global) # namespace. set r0 [x]; # --> The result of [x] is "Y" - # 2) After having requested cmd resolution above, we can now use the # globally shared CmdName Tcl_Obj "z", now bound to cmd ::y. This is # certainly questionable, but defensible set r1 [z]; # --> The result of [z] is "Y" - # 3) We import from the namespace ns1 another z. [namespace import] takes # care "shadowed" cmd references, however, till now cmd literals have not # been touched. This is, however, necessary since the BC compiler (used in @@ -61,12 +59,12 @@ test resolver-1.1 {cmdNameObj sharing vs. cmd resolver: namespace import} -setup rename ::y "" namespace delete ::ns1 } -result {Y Y Z} - - test resolver-1.2 {cmdNameObj sharing vs. cmd resolver: proc creation} -setup { testinterpresolver up proc ::y {} { return Y } - proc ::x {} { z } + proc ::x {} { + z + } } -constraints testinterpresolver -body { set r0 [x] set r1 [z] @@ -82,8 +80,6 @@ test resolver-1.2 {cmdNameObj sharing vs. cmd resolver: proc creation} -setup { rename ::foo "" rename ::z "" } -result {Y Y Z} - - test resolver-1.3 {cmdNameObj sharing vs. cmd resolver: rename} -setup { testinterpresolver up proc ::Z {} { return Z } @@ -105,8 +101,6 @@ test resolver-1.3 {cmdNameObj sharing vs. cmd resolver: rename} -setup { rename ::y "" rename ::z "" } -result {Y Y Z} - - test resolver-1.4 {cmdNameObj sharing vs. cmd resolver: interp expose} -setup { testinterpresolver up proc ::Z {} { return Z } @@ -129,8 +123,6 @@ test resolver-1.4 {cmdNameObj sharing vs. cmd resolver: interp expose} -setup { rename ::y "" rename ::z "" } -result {Y Y Z} - - test resolver-1.5 {cmdNameObj sharing vs. cmd resolver: other than global NS} -setup { testinterpresolver up namespace eval ::ns1 { @@ -139,7 +131,9 @@ test resolver-1.5 {cmdNameObj sharing vs. cmd resolver: other than global NS} -s } proc ::y {} { return Y } namespace eval ::ns2 { - proc x {} { z } + proc x {} { + z + } } namespace eval :: { variable r2 "" @@ -157,13 +151,13 @@ test resolver-1.5 {cmdNameObj sharing vs. cmd resolver: other than global NS} -s namespace delete ::ns2 namespace delete ::ns1 } -result {Y Y Z} - - test resolver-1.6 {cmdNameObj sharing vs. cmd resolver: interp alias} -setup { testinterpresolver up proc ::Z {} { return Z } proc ::y {} { return Y } - proc ::x {} { z } + proc ::x {} { + z + } } -constraints testinterpresolver -body { set r0 [x] set r1 [z] @@ -193,7 +187,7 @@ test resolver-2.1 {compiled var resolver: Bug #3383616} -setup { # During the compilation the compiled var resolver, the resolve-specific # var info is allocated, during the execution of the body, the variable is # fetched and cached. - x + x; # During later calls, the cached variable is reused. x # When the proc is freed, the resolver-specific resolver var info is -- cgit v0.12 From 8dac135fc9c8efae2cc3113bc975ab871ff2271f Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 5 Sep 2016 13:55:00 +0000 Subject: Allow additional optional "interp" argument for testinterpresolver command. Not used yet in any test-case. Protect panic in tclLiteral.c for possible null-pointer access. (cherry-picked from Gustaf Neuman's interpresolver patch). Eliminate some unecessary spacing. --- generic/tclCmdAH.c | 2 +- generic/tclExecute.c | 2 +- generic/tclLiteral.c | 3 ++- generic/tclTest.c | 13 ++++++++++--- tests/resolver.test | 2 +- win/tclWinFile.c | 8 ++++---- win/tclWinPipe.c | 2 +- win/tclWinPort.h | 2 +- 8 files changed, 21 insertions(+), 13 deletions(-) diff --git a/generic/tclCmdAH.c b/generic/tclCmdAH.c index 88cc17d..4c299f8 100644 --- a/generic/tclCmdAH.c +++ b/generic/tclCmdAH.c @@ -1597,7 +1597,7 @@ FileAttrIsOwnedCmd( Tcl_Obj *const objv[]) { #ifdef __CYGWIN__ -#define geteuid() (short)(geteuid)() +#define geteuid() (short)(geteuid)() #endif #if !defined(_WIN32) Tcl_StatBuf buf; diff --git a/generic/tclExecute.c b/generic/tclExecute.c index e539161..34d92d3 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -3173,7 +3173,7 @@ TEBCresume( Tcl_Obj *copyPtr = Tcl_NewListObj(objc - opnd + 1, NULL); Tcl_ListObjAppendElement(NULL, copyPtr, objPtr); - Tcl_ListObjReplace(NULL, copyPtr, LIST_MAX, 0, + Tcl_ListObjReplace(NULL, copyPtr, LIST_MAX, 0, objc - opnd, objv + opnd); Tcl_DecrRefCount(objPtr); objPtr = copyPtr; diff --git a/generic/tclLiteral.c b/generic/tclLiteral.c index 03200ca..26c21db 100644 --- a/generic/tclLiteral.c +++ b/generic/tclLiteral.c @@ -431,12 +431,13 @@ TclRegisterLiteral( * Is it in the interpreter's global literal table? If not, create it. */ + globalPtr = NULL; objPtr = TclCreateLiteral(iPtr, bytes, length, hash, &new, nsPtr, flags, &globalPtr); objIndex = AddLocalLiteralEntry(envPtr, objPtr, localHash); #ifdef TCL_COMPILE_DEBUG - if (globalPtr->refCount < 1) { + if (globalPtr != NULL && globalPtr->refCount < 1) { Tcl_Panic("%s: global literal \"%.*s\" had bad refCount %d", "TclRegisterLiteral", (length>60? 60 : length), bytes, globalPtr->refCount); diff --git a/generic/tclTest.c b/generic/tclTest.c index e33d263..b3508f1 100644 --- a/generic/tclTest.c +++ b/generic/tclTest.c @@ -7449,9 +7449,16 @@ TestInterpResolverCmd( int idx; #define RESOLVER_KEY "testInterpResolver" - if (objc != 2) { - Tcl_WrongNumArgs(interp, 1, objv, "up|down"); - return TCL_ERROR; + if ((objc < 2) || (objc > 3)) { + Tcl_WrongNumArgs(interp, 1, objv, "up|down ?interp?"); + return TCL_ERROR; + } + if (objc == 3) { + interp = Tcl_GetSlave(interp, Tcl_GetString(objv[2])); + if (interp == NULL) { + Tcl_AppendResult(interp, "provided interpreter not found", NULL); + return TCL_ERROR; + } } if (Tcl_GetIndexFromObj(interp, objv[1], table, "operation", TCL_EXACT, &idx) != TCL_OK) { diff --git a/tests/resolver.test b/tests/resolver.test index f3d22e5..aaad02c 100644 --- a/tests/resolver.test +++ b/tests/resolver.test @@ -187,7 +187,7 @@ test resolver-2.1 {compiled var resolver: Bug #3383616} -setup { # During the compilation the compiled var resolver, the resolve-specific # var info is allocated, during the execution of the body, the variable is # fetched and cached. - x; + x # During later calls, the cached variable is reused. x # When the proc is freed, the resolver-specific resolver var info is diff --git a/win/tclWinFile.c b/win/tclWinFile.c index 4d7500b..6662327 100755 --- a/win/tclWinFile.c +++ b/win/tclWinFile.c @@ -3166,8 +3166,8 @@ TclWinFileOwned( case we are in all likelihood not the owner */ return 0; } - - /* + + /* * Getting the current process SID is a multi-step process. * We make the assumption that if a call fails, this process is * so underprivileged it could not possibly own anything. Normally @@ -3191,10 +3191,10 @@ TclWinFileOwned( LocalFree(secd); /* Also frees ownerSid */ if (buf) ckfree(buf); - + return (owned != 0); /* Convert non-0 to 1 */ } - + /* * Local Variables: * mode: c diff --git a/win/tclWinPipe.c b/win/tclWinPipe.c index 382addd..4666deb 100644 --- a/win/tclWinPipe.c +++ b/win/tclWinPipe.c @@ -1337,7 +1337,7 @@ ApplicationType( Tcl_DStringFree(&ds); ext = strrchr(fullName, '.'); - if ((ext != NULL) && + if ((ext != NULL) && (strcasecmp(ext, ".cmd") == 0 || strcasecmp(ext, ".bat") == 0)) { applType = APPL_DOS; break; diff --git a/win/tclWinPort.h b/win/tclWinPort.h index b486466..159a708 100644 --- a/win/tclWinPort.h +++ b/win/tclWinPort.h @@ -360,7 +360,7 @@ typedef DWORD_PTR * PDWORD_PTR; # define S_IFLNK 0120000 /* Symbolic Link */ #endif -/* +/* * Windows compilers do not define S_IFBLK. However, Tcl uses it in * GetTypeFromMode to identify blockSpecial devices based on the * value in the statsbuf st_mode field. We have no other way to pass this -- cgit v0.12 From 2501ad1ea2dd8592c15e7f3bda1f9c298fa446a6 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 5 Sep 2016 14:52:01 +0000 Subject: some more clean-up --- generic/tclCompile.c | 10 ++++------ generic/tclEnsemble.c | 10 ++++------ generic/tclLiteral.c | 4 +++- generic/tclObj.c | 12 +++++------- 4 files changed, 16 insertions(+), 20 deletions(-) diff --git a/generic/tclCompile.c b/generic/tclCompile.c index ee36bff..f6b3c52 100644 --- a/generic/tclCompile.c +++ b/generic/tclCompile.c @@ -1783,17 +1783,15 @@ CompileCmdLiteral( int numBytes; const char *bytes; Command *cmdPtr; - int cmdLitIdx, extraLiteralFlags = 0; + int cmdLitIdx, extraLiteralFlags = LITERAL_CMD_NAME; cmdPtr = (Command *) Tcl_GetCommandFromObj(interp, cmdObj); - if (cmdPtr != NULL) { - if ((cmdPtr->flags & CMD_VIA_RESOLVER)) { - extraLiteralFlags = LITERAL_UNSHARED; - } + if ((cmdPtr != NULL) && (cmdPtr->flags & CMD_VIA_RESOLVER)) { + extraLiteralFlags |= LITERAL_UNSHARED; } bytes = Tcl_GetStringFromObj(cmdObj, &numBytes); - cmdLitIdx = TclRegisterLiteral(envPtr, (char *)bytes, numBytes, extraLiteralFlags|LITERAL_CMD_NAME); + cmdLitIdx = TclRegisterLiteral(envPtr, (char *)bytes, numBytes, extraLiteralFlags); if (cmdPtr) { TclSetCmdNameObj(interp, TclFetchLiteral(envPtr, cmdLitIdx), cmdPtr); diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index 67ee65e..6fedf29 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -3306,7 +3306,7 @@ CompileToInvokedCommand( Tcl_Token *tokPtr; Tcl_Obj *objPtr, **words; char *bytes; - int length, i, numWords, cmdLit, extraLiteralFlags = 0; + int length, i, numWords, cmdLit, extraLiteralFlags = LITERAL_CMD_NAME; DefineLineInformation; /* @@ -3349,12 +3349,10 @@ CompileToInvokedCommand( objPtr = Tcl_NewObj(); Tcl_GetCommandFullName(interp, (Tcl_Command) cmdPtr, objPtr); bytes = Tcl_GetStringFromObj(objPtr, &length); - if (cmdPtr != NULL) { - if ((cmdPtr->flags & CMD_VIA_RESOLVER)) { - extraLiteralFlags = LITERAL_UNSHARED; - } + if ((cmdPtr != NULL) && (cmdPtr->flags & CMD_VIA_RESOLVER)) { + extraLiteralFlags |= LITERAL_UNSHARED; } - cmdLit = TclRegisterLiteral(envPtr, (char *)bytes, length, extraLiteralFlags|LITERAL_CMD_NAME); + cmdLit = TclRegisterLiteral(envPtr, (char *)bytes, length, extraLiteralFlags); TclSetCmdNameObj(interp, TclFetchLiteral(envPtr, cmdLit), cmdPtr); TclEmitPush(cmdLit, envPtr); TclDecrRefCount(objPtr); diff --git a/generic/tclLiteral.c b/generic/tclLiteral.c index 484b86b..c329ed7 100644 --- a/generic/tclLiteral.c +++ b/generic/tclLiteral.c @@ -249,7 +249,6 @@ TclCreateLiteral( if (globalPtrPtr != NULL) { *globalPtrPtr = NULL; } - /*fprintf(stderr, "UNSHARED LITERAL <%s>\n", bytes);*/ return objPtr; } @@ -1167,6 +1166,9 @@ TclVerifyLocalLiteralTable( if (LookupLiteralEntry((Tcl_Interp *) envPtr->iPtr, localPtr->objPtr) == NULL) { bytes = Tcl_GetStringFromObj(localPtr->objPtr, &length); + Tcl_Panic("%s: local literal \"%.*s\" is not global", + "TclVerifyLocalLiteralTable", + (length>60? 60 : length), bytes); } if (localPtr->objPtr->bytes == NULL) { Tcl_Panic("%s: literal has NULL string rep", diff --git a/generic/tclObj.c b/generic/tclObj.c index 661ab48..283c8d2 100644 --- a/generic/tclObj.c +++ b/generic/tclObj.c @@ -4219,10 +4219,10 @@ TclSetCmdNameObj( const char *name; if (objPtr->typePtr == &tclCmdNameType) { - resPtr = objPtr->internalRep.twoPtrValue.ptr1; - if (resPtr->cmdPtr == cmdPtr) { - return; - } + resPtr = objPtr->internalRep.twoPtrValue.ptr1; + if (resPtr->cmdPtr == cmdPtr) { + return; + } } cmdPtr->refCount++; @@ -4400,9 +4400,7 @@ SetCmdNameFromAny( cmdPtr->refCount++; resPtr = objPtr->internalRep.twoPtrValue.ptr1; if ((objPtr->typePtr == &tclCmdNameType) - && resPtr != NULL - && (resPtr->refCount == 1) - ) { + && resPtr && (resPtr->refCount == 1)) { /* * Reuse the old ResolvedCmdName struct instead of freeing it */ -- cgit v0.12 From 2a4281604ab70d1943a74f592e151c6a203f0bdd Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 6 Sep 2016 08:25:18 +0000 Subject: Additiona patch/suggestion from Gustaf. This indeed fixes the crash in oo.test. Looks good to me, so only waiting for final feedback from Gustaf and eventually feedback from other people. --- generic/tclLiteral.c | 7 ------- generic/tclObj.c | 2 +- 2 files changed, 1 insertion(+), 8 deletions(-) diff --git a/generic/tclLiteral.c b/generic/tclLiteral.c index c329ed7..6b3560d 100644 --- a/generic/tclLiteral.c +++ b/generic/tclLiteral.c @@ -1163,13 +1163,6 @@ TclVerifyLocalLiteralTable( "TclVerifyLocalLiteralTable", (length>60? 60 : length), bytes, localPtr->refCount); } - if (LookupLiteralEntry((Tcl_Interp *) envPtr->iPtr, - localPtr->objPtr) == NULL) { - bytes = Tcl_GetStringFromObj(localPtr->objPtr, &length); - Tcl_Panic("%s: local literal \"%.*s\" is not global", - "TclVerifyLocalLiteralTable", - (length>60? 60 : length), bytes); - } if (localPtr->objPtr->bytes == NULL) { Tcl_Panic("%s: literal has NULL string rep", "TclVerifyLocalLiteralTable"); diff --git a/generic/tclObj.c b/generic/tclObj.c index 283c8d2..29c8e23 100644 --- a/generic/tclObj.c +++ b/generic/tclObj.c @@ -4220,7 +4220,7 @@ TclSetCmdNameObj( if (objPtr->typePtr == &tclCmdNameType) { resPtr = objPtr->internalRep.twoPtrValue.ptr1; - if (resPtr->cmdPtr == cmdPtr) { + if (resPtr != NULL && resPtr->cmdPtr == cmdPtr) { return; } } -- cgit v0.12 From 907e3ead5a3a2615c5721af947895bb4cacd3c99 Mon Sep 17 00:00:00 2001 From: dkf Date: Tue, 6 Sep 2016 10:44:45 +0000 Subject: Fixed bug in pushed transforms with full internal buffers not writing out. --- generic/tclZlib.c | 48 +++++++++++++++++++++++++++++++++--------------- tests/zlib.test | 23 +++++++++++++++++++++++ 2 files changed, 56 insertions(+), 15 deletions(-) diff --git a/generic/tclZlib.c b/generic/tclZlib.c index dac47cf..c9d7b88 100644 --- a/generic/tclZlib.c +++ b/generic/tclZlib.c @@ -2864,7 +2864,7 @@ ZlibTransformClose( Tcl_Interp *interp) { ZlibChannelData *cd = instanceData; - int e, result = TCL_OK; + int e, written, result = TCL_OK; /* * Delete the support timer. @@ -2882,6 +2882,17 @@ ZlibTransformClose( cd->outStream.next_out = (Bytef *) cd->outBuffer; cd->outStream.avail_out = (unsigned) cd->outAllocated; e = deflate(&cd->outStream, Z_FINISH); + written = cd->outAllocated - cd->outStream.avail_out; + + /* + * Can't be sure that deflate() won't declare the buffer to be + * full (with Z_BUF_ERROR) so handle that case. + */ + + if (e == Z_BUF_ERROR) { + e = Z_OK; + written = cd->outAllocated; + } if (e != Z_OK && e != Z_STREAM_END) { /* TODO: is this the right way to do errors on close? */ if (!TclInThreadExit()) { @@ -2890,20 +2901,17 @@ ZlibTransformClose( result = TCL_ERROR; break; } - if (cd->outStream.avail_out != (unsigned) cd->outAllocated) { - if (Tcl_WriteRaw(cd->parent, cd->outBuffer, - cd->outAllocated - cd->outStream.avail_out) < 0) { - /* TODO: is this the right way to do errors on close? - * Note: when close is called from FinalizeIOSubsystem - * then interp may be NULL */ - if (!TclInThreadExit() && interp) { - Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "error while finalizing file: %s", - Tcl_PosixError(interp))); - } - result = TCL_ERROR; - break; + if (written && Tcl_WriteRaw(cd->parent, cd->outBuffer, written) < 0) { + /* TODO: is this the right way to do errors on close? + * Note: when close is called from FinalizeIOSubsystem then + * interp may be NULL */ + if (!TclInThreadExit() && interp) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "error while finalizing file: %s", + Tcl_PosixError(interp))); } + result = TCL_ERROR; + break; } } while (e != Z_STREAM_END); (void) deflateEnd(&cd->outStream); @@ -3084,7 +3092,17 @@ ZlibTransformOutput( e = deflate(&cd->outStream, Z_NO_FLUSH); produced = cd->outAllocated - cd->outStream.avail_out; - if (e == Z_OK && produced > 0) { + if ((e == Z_OK && produced > 0) || e == Z_BUF_ERROR) { + /* + * deflate() indicates that it is out of space by returning + * Z_BUF_ERROR; in that case, we must write the whole buffer out + * and retry to compress what is left. + */ + + if (e == Z_BUF_ERROR) { + produced = cd->outAllocated; + e = Z_OK; + } if (Tcl_WriteRaw(cd->parent, cd->outBuffer, produced) < 0) { *errorCodePtr = Tcl_GetErrno(); return -1; diff --git a/tests/zlib.test b/tests/zlib.test index 8a040d8..15dbb34 100644 --- a/tests/zlib.test +++ b/tests/zlib.test @@ -917,6 +917,29 @@ test zlib-12.1 {Tk Bug 9eb55debc5} -constraints zlib -setup { } -cleanup { $stream close } -result {12026 18000} +test zlib-12.2 {Patrick Dunnigan's issue} -constraints zlib -setup { + set filesrc [makeFile {} test.input] + set filedst [makeFile {} test.output] + set f [open $filesrc "wb"] + for {set i 0} {$i < 10000} {incr i} { + puts -nonewline $f "x" + } + close $f +} -body { + set fin [open $filesrc "rb"] + set fout [open $filedst "wb"] + set header [dict create filename "test.input" time 0] + try { + fcopy $fin [zlib push gzip $fout -header $header] + } finally { + close $fin + close $fout + } + file size $filedst +} -cleanup { + removeFile $filesrc + removeFile $filedst +} -result 4152 ::tcltest::cleanupTests return -- cgit v0.12 From a8ee2c14547d09ebb8f93ee3cea938302ea7a4c8 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 6 Sep 2016 20:30:07 +0000 Subject: [4dbdd9af14] Proposed fix for mem leak. --- generic/tclVar.c | 7 ++++++- 1 file changed, 6 insertions(+), 1 deletion(-) diff --git a/generic/tclVar.c b/generic/tclVar.c index bdc64b7..55eb91c 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -4498,7 +4498,6 @@ TclDeleteNamespaceVars( Tcl_GetVariableFullName(interp, (Tcl_Var) varPtr, objPtr); UnsetVarStruct(varPtr, NULL, iPtr, /* part1 */ objPtr, NULL, flags); - Tcl_DecrRefCount(objPtr); /* free no longer needed obj */ /* * Remove the variable from the table and force it undefined in case @@ -4527,6 +4526,12 @@ TclDeleteNamespaceVars( } } } + + if (!TclIsVarUndefined(varPtr)) { + UnsetVarStruct(varPtr, NULL, iPtr, /* part1 */ objPtr, + NULL, flags); + } + Tcl_DecrRefCount(objPtr); /* free no longer needed obj */ VarHashRefCount(varPtr)--; VarHashDeleteEntry(varPtr); } -- cgit v0.12 From a05766d3d315e7ecba48b10b3d24d98a7cd450df Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 7 Sep 2016 16:19:42 +0000 Subject: Improve the comments and add a test. --- generic/tclVar.c | 13 +++++++++++-- tests/var.test | 31 +++++++++++++++++++++++++++++++ 2 files changed, 42 insertions(+), 2 deletions(-) diff --git a/generic/tclVar.c b/generic/tclVar.c index 55eb91c..e95307e 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -4500,8 +4500,12 @@ TclDeleteNamespaceVars( NULL, flags); /* - * Remove the variable from the table and force it undefined in case - * an unset trace brought it back from the dead. + * We just unset the variable. However, an unset trace might + * have re-set it, or might have re-established traces on it. + * This namespace and its vartable are going away unconditionally, + * so we cannot let such things linger. That would be a leak. + * + * First we destroy all traces. ... */ if (TclIsVarTraced(varPtr)) { @@ -4527,6 +4531,11 @@ TclDeleteNamespaceVars( } } + /* + * ...and then, if the variable still holds a value, we unset it + * again. This time with no traces left, we're sure it goes away. + */ + if (!TclIsVarUndefined(varPtr)) { UnsetVarStruct(varPtr, NULL, iPtr, /* part1 */ objPtr, NULL, flags); diff --git a/tests/var.test b/tests/var.test index c852ca9..30e340e 100644 --- a/tests/var.test +++ b/tests/var.test @@ -22,6 +22,21 @@ if {[lsearch [namespace children] ::tcltest] == -1} { testConstraint testupvar [llength [info commands testupvar]] testConstraint testgetvarfullname [llength [info commands testgetvarfullname]] testConstraint testsetnoerr [llength [info commands testsetnoerr]] +testConstraint memory [llength [info commands memory]] +if {[testConstraint memory]} { + proc getbytes {} { + return [lindex [split [memory info] \n] 3 3] + } + proc leaktest {script {iterations 3}} { + set end [getbytes] + for {set i 0} {$i < $iterations} {incr i} { + uplevel 1 $script + set tmp $end + set end [getbytes] + } + return [expr {$end - $tmp}] + } +} catch {rename p ""} catch {namespace delete test_ns_var} @@ -540,6 +555,22 @@ test var-8.2 {TclDeleteNamespaceVars, "unset" traces on ns delete are called wit list [namespace delete test_ns_var] $::info } {{} {::test_ns_var::v {} u}} +test var-8.3 {TclDeleteNamespaceVars, mem leak} -constraints memory -setup { + proc ::t {a i o} { + set $a 321 + } +} -body { + leaktest { + namespace eval n { + variable v 123 + trace variable v u ::t + } + namespace delete n + } +} -cleanup { + rename ::t {} +} -result 0 + test var-9.1 {behaviour of TclGet/SetVar simple get/set} testsetnoerr { catch {unset u}; catch {unset v} list \ -- cgit v0.12 From fc743498e7623e7cefbe124ef936d30de91e3625 Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 7 Sep 2016 18:31:58 +0000 Subject: Attempt to fix [7f02ff1efa]. Make trace-18.1 fail. Suspect test is an experiment that preserves the bug. --- generic/tclNamesp.c | 20 +++++++------------- generic/tclVar.c | 49 +++++++++++++++++++++++++++++++++---------------- 2 files changed, 40 insertions(+), 29 deletions(-) diff --git a/generic/tclNamesp.c b/generic/tclNamesp.c index 7f6ecf5..74dfaf8 100644 --- a/generic/tclNamesp.c +++ b/generic/tclNamesp.c @@ -382,19 +382,6 @@ Tcl_PopCallFrame( register CallFrame *framePtr = iPtr->framePtr; Namespace *nsPtr; - /* - * It's important to remove the call frame from the interpreter's stack of - * call frames before deleting local variables, so that traces invoked by - * the variable deletion don't see the partially-deleted frame. - */ - - if (framePtr->callerPtr) { - iPtr->framePtr = framePtr->callerPtr; - iPtr->varFramePtr = framePtr->callerVarPtr; - } else { - /* Tcl_PopCallFrame: trying to pop rootCallFrame! */ - } - if (framePtr->varTablePtr != NULL) { TclDeleteVars(iPtr, framePtr->varTablePtr); ckfree(framePtr->varTablePtr); @@ -422,6 +409,13 @@ Tcl_PopCallFrame( } framePtr->nsPtr = NULL; + if (framePtr->callerPtr) { + iPtr->framePtr = framePtr->callerPtr; + iPtr->varFramePtr = framePtr->callerVarPtr; + } else { + /* Tcl_PopCallFrame: trying to pop rootCallFrame! */ + } + if (framePtr->tailcallPtr) { TclSetTailcall(interp, framePtr->tailcallPtr); } diff --git a/generic/tclVar.c b/generic/tclVar.c index 48e09f6..0b371ee 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -5032,27 +5032,44 @@ TclDeleteVars( TclVarHashTable *tablePtr) /* Hash table containing variables to * delete. */ { - Tcl_Interp *interp = (Tcl_Interp *) iPtr; Tcl_HashSearch search; register Var *varPtr; - int flags; - Namespace *currNsPtr = (Namespace *) TclGetCurrentNamespace(interp); - - /* - * Determine what flags to pass to the trace callback functions. - */ - - flags = TCL_TRACE_UNSETS; - if (tablePtr == &iPtr->globalNsPtr->varTable) { - flags |= TCL_GLOBAL_ONLY; - } else if (tablePtr == &currNsPtr->varTable) { - flags |= TCL_NAMESPACE_ONLY; - } for (varPtr = VarHashFirstVar(tablePtr, &search); varPtr != NULL; varPtr = VarHashFirstVar(tablePtr, &search)) { - UnsetVarStruct(varPtr, NULL, iPtr, VarHashGetKey(varPtr), NULL, flags, - -1); + VarHashRefCount(varPtr)++; + + UnsetVarStruct(varPtr, NULL, iPtr, VarHashGetKey(varPtr), + NULL, TCL_TRACE_UNSETS, -1); + + if (TclIsVarTraced(varPtr)) { + Tcl_HashEntry *tPtr = Tcl_FindHashEntry(&iPtr->varTraces, varPtr); + VarTrace *tracePtr = Tcl_GetHashValue(tPtr); + ActiveVarTrace *activePtr; + + while (tracePtr) { + VarTrace *prevPtr = tracePtr; + + tracePtr = tracePtr->nextPtr; + prevPtr->nextPtr = NULL; + Tcl_EventuallyFree(prevPtr, TCL_DYNAMIC); + } + Tcl_DeleteHashEntry(tPtr); + varPtr->flags &= ~VAR_ALL_TRACES; + for (activePtr = iPtr->activeVarTracePtr; activePtr != NULL; + activePtr = activePtr->nextPtr) { + if (activePtr->varPtr == varPtr) { + activePtr->nextTracePtr = NULL; + } + } + } + + if (!TclIsVarUndefined(varPtr)) { + UnsetVarStruct(varPtr, NULL, iPtr, VarHashGetKey(varPtr), + NULL, TCL_TRACE_UNSETS, -1); + } + + VarHashRefCount(varPtr)--; VarHashDeleteEntry(varPtr); } VarHashDeleteTable(tablePtr); -- cgit v0.12 From 69e6c8e2f7cc9c7cd816bb7acfe52c7b4556e4cb Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 8 Sep 2016 02:34:37 +0000 Subject: New test trace-18.5 for the bug. Updated trace-18.1 which was tuned to it. --- tests/trace.test | 23 ++++++++++++++++++++++- 1 file changed, 22 insertions(+), 1 deletion(-) diff --git a/tests/trace.test b/tests/trace.test index 1099f48..3b69d38 100644 --- a/tests/trace.test +++ b/tests/trace.test @@ -1227,7 +1227,7 @@ test trace-17.3 {traced variables must survive procedure exits} { test trace-18.1 {unset traces on procedure returns} { proc p1 {x y} {set a 44; p2 14} - proc p2 {z} {trace add variable z unset {traceCheck {lsort [uplevel 1 {info vars}]}}} + proc p2 {z} {trace add variable z unset {traceCheck {lsort [uplevel 2 {info vars}]}}} set info {} p1 foo bar set info @@ -1263,6 +1263,27 @@ test trace-18.4 {namespace delete / trace vdelete combo, Bug \#1338280} { rename doTrace {} set info } 1110 +test trace-18.5 {Bug 7f02ff1efa} -setup { + proc constant {name value} { + upvar 1 $name c + set c $value + trace variable c wu [list reset $value] + } + proc reset {v a i o} { + uplevel 1 [list constant $a $v] + } + proc demo {} { + constant pi 3.14 + } +} -body { + unset -nocomplain pi + demo + info exists pi +} -cleanup { + rename demo {} + rename reset {} + rename constant {} +} -result 0 # Delete arrays when done, so they can be re-used as scalars # elsewhere. -- cgit v0.12 From 768ec09104da815f43907bc6c3f829d03d4d4fc9 Mon Sep 17 00:00:00 2001 From: gahr Date: Fri, 9 Sep 2016 07:28:45 +0000 Subject: Remove unnecessary use of fpsetround. See https://bugs.freebsd.org/212512 --- unix/tclUnixInit.c | 8 -------- 1 file changed, 8 deletions(-) diff --git a/unix/tclUnixInit.c b/unix/tclUnixInit.c index 57215f1..91fb986 100644 --- a/unix/tclUnixInit.c +++ b/unix/tclUnixInit.c @@ -391,14 +391,6 @@ TclpInitPlatform(void) #endif /* SIGPIPE */ #if defined(__FreeBSD__) && defined(__GNUC__) - /* - * Adjust the rounding mode to be more conventional. Note that FreeBSD - * only provides the __fpsetreg() used by the following two for the GNU - * Compiler. When using, say, Intel's icc they break. (Partially based on - * patch in BSD ports system from root@celsius.bychok.com) - */ - - fpsetround(FP_RN); (void) fpsetmask(0L); #endif -- cgit v0.12 From f26a4a0948cbd769519cf1e79ea027511051b2bd Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 9 Sep 2016 12:36:53 +0000 Subject: Revert b98ee56376. The "bug" fixed was documented behavior. --- generic/tclNamesp.c | 20 +++++++++++++------- generic/tclVar.c | 49 ++++++++++++++++--------------------------------- tests/trace.test | 23 +---------------------- 3 files changed, 30 insertions(+), 62 deletions(-) diff --git a/generic/tclNamesp.c b/generic/tclNamesp.c index 74dfaf8..7f6ecf5 100644 --- a/generic/tclNamesp.c +++ b/generic/tclNamesp.c @@ -382,6 +382,19 @@ Tcl_PopCallFrame( register CallFrame *framePtr = iPtr->framePtr; Namespace *nsPtr; + /* + * It's important to remove the call frame from the interpreter's stack of + * call frames before deleting local variables, so that traces invoked by + * the variable deletion don't see the partially-deleted frame. + */ + + if (framePtr->callerPtr) { + iPtr->framePtr = framePtr->callerPtr; + iPtr->varFramePtr = framePtr->callerVarPtr; + } else { + /* Tcl_PopCallFrame: trying to pop rootCallFrame! */ + } + if (framePtr->varTablePtr != NULL) { TclDeleteVars(iPtr, framePtr->varTablePtr); ckfree(framePtr->varTablePtr); @@ -409,13 +422,6 @@ Tcl_PopCallFrame( } framePtr->nsPtr = NULL; - if (framePtr->callerPtr) { - iPtr->framePtr = framePtr->callerPtr; - iPtr->varFramePtr = framePtr->callerVarPtr; - } else { - /* Tcl_PopCallFrame: trying to pop rootCallFrame! */ - } - if (framePtr->tailcallPtr) { TclSetTailcall(interp, framePtr->tailcallPtr); } diff --git a/generic/tclVar.c b/generic/tclVar.c index 0b371ee..48e09f6 100644 --- a/generic/tclVar.c +++ b/generic/tclVar.c @@ -5032,44 +5032,27 @@ TclDeleteVars( TclVarHashTable *tablePtr) /* Hash table containing variables to * delete. */ { + Tcl_Interp *interp = (Tcl_Interp *) iPtr; Tcl_HashSearch search; register Var *varPtr; + int flags; + Namespace *currNsPtr = (Namespace *) TclGetCurrentNamespace(interp); - for (varPtr = VarHashFirstVar(tablePtr, &search); varPtr != NULL; - varPtr = VarHashFirstVar(tablePtr, &search)) { - VarHashRefCount(varPtr)++; - - UnsetVarStruct(varPtr, NULL, iPtr, VarHashGetKey(varPtr), - NULL, TCL_TRACE_UNSETS, -1); - - if (TclIsVarTraced(varPtr)) { - Tcl_HashEntry *tPtr = Tcl_FindHashEntry(&iPtr->varTraces, varPtr); - VarTrace *tracePtr = Tcl_GetHashValue(tPtr); - ActiveVarTrace *activePtr; - - while (tracePtr) { - VarTrace *prevPtr = tracePtr; - - tracePtr = tracePtr->nextPtr; - prevPtr->nextPtr = NULL; - Tcl_EventuallyFree(prevPtr, TCL_DYNAMIC); - } - Tcl_DeleteHashEntry(tPtr); - varPtr->flags &= ~VAR_ALL_TRACES; - for (activePtr = iPtr->activeVarTracePtr; activePtr != NULL; - activePtr = activePtr->nextPtr) { - if (activePtr->varPtr == varPtr) { - activePtr->nextTracePtr = NULL; - } - } - } + /* + * Determine what flags to pass to the trace callback functions. + */ - if (!TclIsVarUndefined(varPtr)) { - UnsetVarStruct(varPtr, NULL, iPtr, VarHashGetKey(varPtr), - NULL, TCL_TRACE_UNSETS, -1); - } + flags = TCL_TRACE_UNSETS; + if (tablePtr == &iPtr->globalNsPtr->varTable) { + flags |= TCL_GLOBAL_ONLY; + } else if (tablePtr == &currNsPtr->varTable) { + flags |= TCL_NAMESPACE_ONLY; + } - VarHashRefCount(varPtr)--; + for (varPtr = VarHashFirstVar(tablePtr, &search); varPtr != NULL; + varPtr = VarHashFirstVar(tablePtr, &search)) { + UnsetVarStruct(varPtr, NULL, iPtr, VarHashGetKey(varPtr), NULL, flags, + -1); VarHashDeleteEntry(varPtr); } VarHashDeleteTable(tablePtr); diff --git a/tests/trace.test b/tests/trace.test index 3b69d38..1099f48 100644 --- a/tests/trace.test +++ b/tests/trace.test @@ -1227,7 +1227,7 @@ test trace-17.3 {traced variables must survive procedure exits} { test trace-18.1 {unset traces on procedure returns} { proc p1 {x y} {set a 44; p2 14} - proc p2 {z} {trace add variable z unset {traceCheck {lsort [uplevel 2 {info vars}]}}} + proc p2 {z} {trace add variable z unset {traceCheck {lsort [uplevel 1 {info vars}]}}} set info {} p1 foo bar set info @@ -1263,27 +1263,6 @@ test trace-18.4 {namespace delete / trace vdelete combo, Bug \#1338280} { rename doTrace {} set info } 1110 -test trace-18.5 {Bug 7f02ff1efa} -setup { - proc constant {name value} { - upvar 1 $name c - set c $value - trace variable c wu [list reset $value] - } - proc reset {v a i o} { - uplevel 1 [list constant $a $v] - } - proc demo {} { - constant pi 3.14 - } -} -body { - unset -nocomplain pi - demo - info exists pi -} -cleanup { - rename demo {} - rename reset {} - rename constant {} -} -result 0 # Delete arrays when done, so they can be re-used as scalars # elsewhere. -- cgit v0.12 From c4f177f41c24e304076debfea279222a38b88060 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 15 Sep 2016 13:22:49 +0000 Subject: Proposed fix for [c7d0bc9a549714e0]. Thanks to mr_calvin --- generic/tclLiteral.c | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/generic/tclLiteral.c b/generic/tclLiteral.c index aeb8213..4ae94a0 100644 --- a/generic/tclLiteral.c +++ b/generic/tclLiteral.c @@ -234,7 +234,6 @@ TclCreateLiteral( */ TclNewObj(objPtr); - Tcl_IncrRefCount(objPtr); if ((flags & LITERAL_ON_HEAP)) { objPtr->bytes = bytes; objPtr->length = length; @@ -261,6 +260,7 @@ TclCreateLiteral( globalPtr = ckalloc(sizeof(LiteralEntry)); globalPtr->objPtr = objPtr; + Tcl_IncrRefCount(objPtr); globalPtr->refCount = 1; globalPtr->nsPtr = nsPtr; globalPtr->nextPtr = globalTablePtr->buckets[globalHash]; -- cgit v0.12 From 65d17884a3fc402968d737201112e8006e371434 Mon Sep 17 00:00:00 2001 From: Joe Mistachkin Date: Mon, 19 Sep 2016 18:48:16 +0000 Subject: Permit static linking to the MSVCRT as a stand-alone option. Enable WinXP SDK compatibility. --- win/coffbase.txt | 4 ++-- win/rules.vc | 7 ++++++- 2 files changed, 8 insertions(+), 3 deletions(-) diff --git a/win/coffbase.txt b/win/coffbase.txt index 3314f26..0142bb3 100644 --- a/win/coffbase.txt +++ b/win/coffbase.txt @@ -13,8 +13,8 @@ ; linker with the `-base:@$(TCLDIR)\win\coffbase.txt,` option. tcl 0x10000000 0x00200000 -tcldde 0x10200000 0x00010000 -tclreg 0x10210000 0x00010000 +tcldde 0x10200000 0x00020000 +tclreg 0x10210000 0x00020000 tk 0x10220000 0x00200000 expect 0x10480000 0x00080000 itcl 0x10500000 0x00080000 diff --git a/win/rules.vc b/win/rules.vc index d4c2f35..cd06e96 100644 --- a/win/rules.vc +++ b/win/rules.vc @@ -159,7 +159,7 @@ DEBUGFLAGS = $(DEBUGFLAGS) -RTC1 DEBUGFLAGS = $(DEBUGFLAGS) -GZ !endif -COMPILERFLAGS =-W3 -DUNICODE -D_UNICODE +COMPILERFLAGS =-W3 -DUNICODE -D_UNICODE -D_USING_V110_SDK71_=1 # In v13 -GL and -YX are incompatible. !if [nmakehlp -c -YX] @@ -230,6 +230,10 @@ STATIC_BUILD = 1 !else STATIC_BUILD = 0 !endif +!if [nmakehlp -f $(OPTS) "nomsvcrt"] +!message *** Doing nomsvcrt +MSVCRT = 0 +!else !if [nmakehlp -f $(OPTS) "msvcrt"] !message *** Doing msvcrt MSVCRT = 1 @@ -240,6 +244,7 @@ MSVCRT = 1 MSVCRT = 0 !endif !endif +!endif !if [nmakehlp -f $(OPTS) "staticpkg"] && $(STATIC_BUILD) !message *** Doing staticpkg TCL_USE_STATIC_PACKAGES = 1 -- cgit v0.12 From 46c577d5c882b4ad5ca458e7591b3391327194d9 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 21 Sep 2016 09:15:34 +0000 Subject: Make it more likely that compiled with VS2012/VS2013 actually work on Windows XP. See: [https://tedwvc.wordpress.com/2014/01/01/how-to-target-xp-with-vc2012-or-vc2013-and-continue-to-use-the-windows-8-x-sdk/] --- win/Makefile.in | 2 +- win/rules.vc | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/win/Makefile.in b/win/Makefile.in index ada9448..6376470 100644 --- a/win/Makefile.in +++ b/win/Makefile.in @@ -81,7 +81,7 @@ CFLAGS_OPTIMIZE = @CFLAGS_OPTIMIZE@ #CFLAGS = $(CFLAGS_DEBUG) #CFLAGS = $(CFLAGS_OPTIMIZE) #CFLAGS = $(CFLAGS_DEBUG) $(CFLAGS_OPTIMIZE) -CFLAGS = @CFLAGS@ @CFLAGS_DEFAULT@ +CFLAGS = @CFLAGS@ @CFLAGS_DEFAULT@ -D_ATL_XP_TARGETING # To enable compilation debugging reverse the comment characters on one of the # following lines. diff --git a/win/rules.vc b/win/rules.vc index 78a167a..aa4ed1e 100644 --- a/win/rules.vc +++ b/win/rules.vc @@ -159,7 +159,7 @@ DEBUGFLAGS = $(DEBUGFLAGS) -RTC1 DEBUGFLAGS = $(DEBUGFLAGS) -GZ !endif -COMPILERFLAGS =-W3 +COMPILERFLAGS =-W3 /D_ATL_XP_TARGETING # In v13 -GL and -YX are incompatible. !if [nmakehlp -c -YX] -- cgit v0.12 From 93b5865bd7cf7a93bd9c8aa6719edba1101992f2 Mon Sep 17 00:00:00 2001 From: gahr Date: Tue, 27 Sep 2016 20:06:49 +0000 Subject: [4d5ae7d88a] Restore default-to-error logic in TcpConnect --- unix/tclUnixSock.c | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/unix/tclUnixSock.c b/unix/tclUnixSock.c index 8167077..3942df8 100644 --- a/unix/tclUnixSock.c +++ b/unix/tclUnixSock.c @@ -1098,7 +1098,7 @@ TcpConnect( { socklen_t optlen; int async_callback = statePtr->flags & TCP_ASYNC_PENDING; - int ret = -1, error = errno; + int ret = -1, error = EHOSTUNREACH; int async = statePtr->flags & TCP_ASYNC_CONNECT; if (async_callback) { -- cgit v0.12 From daea02d5448a5b21b217c522a799bbcbb2c28def Mon Sep 17 00:00:00 2001 From: venkat Date: Sun, 2 Oct 2016 19:24:52 +0000 Subject: Update tzdata to 2016g from ietf.org --- library/tzdata/America/Los_Angeles | 36 +-- library/tzdata/America/Tijuana | 14 +- library/tzdata/Antarctica/Casey | 10 +- library/tzdata/Antarctica/Davis | 12 +- library/tzdata/Antarctica/DumontDUrville | 4 +- library/tzdata/Antarctica/Mawson | 4 +- library/tzdata/Antarctica/Rothera | 2 +- library/tzdata/Antarctica/Syowa | 2 +- library/tzdata/Antarctica/Troll | 382 +++++++++++++++---------------- library/tzdata/Antarctica/Vostok | 2 +- library/tzdata/Asia/Anadyr | 134 +++++------ library/tzdata/Asia/Ashgabat | 52 ++--- library/tzdata/Asia/Baku | 138 +++++------ library/tzdata/Asia/Bishkek | 105 ++++----- library/tzdata/Asia/Chita | 134 +++++------ library/tzdata/Asia/Dushanbe | 48 ++-- library/tzdata/Asia/Irkutsk | 132 +++++------ library/tzdata/Asia/Kamchatka | 132 +++++------ library/tzdata/Asia/Khandyga | 136 +++++------ library/tzdata/Asia/Krasnoyarsk | 132 +++++------ library/tzdata/Asia/Magadan | 134 +++++------ library/tzdata/Asia/Omsk | 132 +++++------ library/tzdata/Asia/Rangoon | 10 +- library/tzdata/Asia/Sakhalin | 137 ++++++----- library/tzdata/Asia/Samarkand | 53 +++-- library/tzdata/Asia/Srednekolymsk | 132 +++++------ library/tzdata/Asia/Tashkent | 53 +++-- library/tzdata/Asia/Tbilisi | 108 ++++----- library/tzdata/Asia/Ust-Nera | 132 +++++------ library/tzdata/Asia/Vladivostok | 132 +++++------ library/tzdata/Asia/Yakutsk | 132 +++++------ library/tzdata/Asia/Yangon | 9 + library/tzdata/Asia/Yekaterinburg | 132 +++++------ library/tzdata/Asia/Yerevan | 129 ++++++----- library/tzdata/Etc/GMT+1 | 2 +- library/tzdata/Etc/GMT+10 | 2 +- library/tzdata/Etc/GMT+11 | 2 +- library/tzdata/Etc/GMT+12 | 2 +- library/tzdata/Etc/GMT+2 | 2 +- library/tzdata/Etc/GMT+3 | 2 +- library/tzdata/Etc/GMT+4 | 2 +- library/tzdata/Etc/GMT+5 | 2 +- library/tzdata/Etc/GMT+6 | 2 +- library/tzdata/Etc/GMT+7 | 2 +- library/tzdata/Etc/GMT+8 | 2 +- library/tzdata/Etc/GMT+9 | 2 +- library/tzdata/Etc/GMT-1 | 2 +- library/tzdata/Etc/GMT-10 | 2 +- library/tzdata/Etc/GMT-11 | 2 +- library/tzdata/Etc/GMT-12 | 2 +- library/tzdata/Etc/GMT-13 | 2 +- library/tzdata/Etc/GMT-14 | 2 +- library/tzdata/Etc/GMT-2 | 2 +- library/tzdata/Etc/GMT-3 | 2 +- library/tzdata/Etc/GMT-4 | 2 +- library/tzdata/Etc/GMT-5 | 2 +- library/tzdata/Etc/GMT-6 | 2 +- library/tzdata/Etc/GMT-7 | 2 +- library/tzdata/Etc/GMT-8 | 2 +- library/tzdata/Etc/GMT-9 | 2 +- library/tzdata/Europe/Istanbul | 190 +-------------- library/tzdata/Europe/Kaliningrad | 2 +- library/tzdata/Europe/Kirov | 2 +- library/tzdata/Europe/Minsk | 3 +- library/tzdata/Europe/Moscow | 4 +- library/tzdata/Europe/Samara | 136 +++++------ library/tzdata/Europe/Ulyanovsk | 2 +- library/tzdata/Europe/Volgograd | 133 ++++++----- library/tzdata/Indian/Kerguelen | 2 +- 69 files changed, 1698 insertions(+), 1864 deletions(-) create mode 100644 library/tzdata/Asia/Yangon diff --git a/library/tzdata/America/Los_Angeles b/library/tzdata/America/Los_Angeles index da6ca99..8e26526 100644 --- a/library/tzdata/America/Los_Angeles +++ b/library/tzdata/America/Los_Angeles @@ -11,41 +11,41 @@ set TZData(:America/Los_Angeles) { {-769395600 -25200 1 PPT} {-765385200 -28800 0 PST} {-757353600 -28800 0 PST} - {-687967200 -25200 1 PDT} + {-687967140 -25200 1 PDT} {-662655600 -28800 0 PST} - {-620834400 -25200 1 PDT} + {-620838000 -25200 1 PDT} {-608137200 -28800 0 PST} - {-589384800 -25200 1 PDT} + {-589388400 -25200 1 PDT} {-576082800 -28800 0 PST} - {-557935200 -25200 1 PDT} + {-557938800 -25200 1 PDT} {-544633200 -28800 0 PST} - {-526485600 -25200 1 PDT} + {-526489200 -25200 1 PDT} {-513183600 -28800 0 PST} - {-495036000 -25200 1 PDT} + {-495039600 -25200 1 PDT} {-481734000 -28800 0 PST} - {-463586400 -25200 1 PDT} + {-463590000 -25200 1 PDT} {-450284400 -28800 0 PST} - {-431532000 -25200 1 PDT} + {-431535600 -25200 1 PDT} {-418230000 -28800 0 PST} - {-400082400 -25200 1 PDT} + {-400086000 -25200 1 PDT} {-386780400 -28800 0 PST} - {-368632800 -25200 1 PDT} + {-368636400 -25200 1 PDT} {-355330800 -28800 0 PST} - {-337183200 -25200 1 PDT} + {-337186800 -25200 1 PDT} {-323881200 -28800 0 PST} - {-305733600 -25200 1 PDT} + {-305737200 -25200 1 PDT} {-292431600 -28800 0 PST} - {-273679200 -25200 1 PDT} + {-273682800 -25200 1 PDT} {-260982000 -28800 0 PST} - {-242229600 -25200 1 PDT} + {-242233200 -25200 1 PDT} {-226508400 -28800 0 PST} - {-210780000 -25200 1 PDT} + {-210783600 -25200 1 PDT} {-195058800 -28800 0 PST} - {-179330400 -25200 1 PDT} + {-179334000 -25200 1 PDT} {-163609200 -28800 0 PST} - {-147880800 -25200 1 PDT} + {-147884400 -25200 1 PDT} {-131554800 -28800 0 PST} - {-116431200 -25200 1 PDT} + {-116434800 -25200 1 PDT} {-100105200 -28800 0 PST} {-94665600 -28800 0 PST} {-84376800 -25200 1 PDT} diff --git a/library/tzdata/America/Tijuana b/library/tzdata/America/Tijuana index 6118cde..4b7ebe7 100644 --- a/library/tzdata/America/Tijuana +++ b/library/tzdata/America/Tijuana @@ -14,19 +14,19 @@ set TZData(:America/Tijuana) { {-686073600 -25200 1 PDT} {-661539600 -28800 0 PST} {-504892800 -28800 0 PST} - {-495036000 -25200 1 PDT} + {-495039600 -25200 1 PDT} {-481734000 -28800 0 PST} - {-463586400 -25200 1 PDT} + {-463590000 -25200 1 PDT} {-450284400 -28800 0 PST} - {-431532000 -25200 1 PDT} + {-431535600 -25200 1 PDT} {-418230000 -28800 0 PST} - {-400082400 -25200 1 PDT} + {-400086000 -25200 1 PDT} {-386780400 -28800 0 PST} - {-368632800 -25200 1 PDT} + {-368636400 -25200 1 PDT} {-355330800 -28800 0 PST} - {-337183200 -25200 1 PDT} + {-337186800 -25200 1 PDT} {-323881200 -28800 0 PST} - {-305733600 -25200 1 PDT} + {-305737200 -25200 1 PDT} {-292431600 -28800 0 PST} {-283968000 -28800 0 PST} {189331200 -28800 0 PST} diff --git a/library/tzdata/Antarctica/Casey b/library/tzdata/Antarctica/Casey index 2573dac..3035ab9 100644 --- a/library/tzdata/Antarctica/Casey +++ b/library/tzdata/Antarctica/Casey @@ -2,9 +2,9 @@ set TZData(:Antarctica/Casey) { {-9223372036854775808 0 0 -00} - {-31536000 28800 0 AWST} - {1255802400 39600 0 CAST} - {1267714800 28800 0 AWST} - {1319738400 39600 0 CAST} - {1329843600 28800 0 AWST} + {-31536000 28800 0 +08} + {1255802400 39600 0 +11} + {1267714800 28800 0 +08} + {1319738400 39600 0 +11} + {1329843600 28800 0 +08} } diff --git a/library/tzdata/Antarctica/Davis b/library/tzdata/Antarctica/Davis index c98be2f..9bb178b 100644 --- a/library/tzdata/Antarctica/Davis +++ b/library/tzdata/Antarctica/Davis @@ -2,11 +2,11 @@ set TZData(:Antarctica/Davis) { {-9223372036854775808 0 0 -00} - {-409190400 25200 0 DAVT} + {-409190400 25200 0 +07} {-163062000 0 0 -00} - {-28857600 25200 0 DAVT} - {1255806000 18000 0 DAVT} - {1268251200 25200 0 DAVT} - {1319742000 18000 0 DAVT} - {1329854400 25200 0 DAVT} + {-28857600 25200 0 +07} + {1255806000 18000 0 +05} + {1268251200 25200 0 +07} + {1319742000 18000 0 +05} + {1329854400 25200 0 +07} } diff --git a/library/tzdata/Antarctica/DumontDUrville b/library/tzdata/Antarctica/DumontDUrville index 8d21d45..f734aed 100644 --- a/library/tzdata/Antarctica/DumontDUrville +++ b/library/tzdata/Antarctica/DumontDUrville @@ -2,7 +2,7 @@ set TZData(:Antarctica/DumontDUrville) { {-9223372036854775808 0 0 -00} - {-725846400 36000 0 PMT} + {-725846400 36000 0 +10} {-566992800 0 0 -00} - {-415497600 36000 0 DDUT} + {-415497600 36000 0 +10} } diff --git a/library/tzdata/Antarctica/Mawson b/library/tzdata/Antarctica/Mawson index e50aa07..4828b1a 100644 --- a/library/tzdata/Antarctica/Mawson +++ b/library/tzdata/Antarctica/Mawson @@ -2,6 +2,6 @@ set TZData(:Antarctica/Mawson) { {-9223372036854775808 0 0 -00} - {-501206400 21600 0 MAWT} - {1255809600 18000 0 MAWT} + {-501206400 21600 0 +06} + {1255809600 18000 0 +05} } diff --git a/library/tzdata/Antarctica/Rothera b/library/tzdata/Antarctica/Rothera index 3a219c7..7f0134f 100644 --- a/library/tzdata/Antarctica/Rothera +++ b/library/tzdata/Antarctica/Rothera @@ -2,5 +2,5 @@ set TZData(:Antarctica/Rothera) { {-9223372036854775808 0 0 -00} - {218246400 -10800 0 ROTT} + {218246400 -10800 0 -03} } diff --git a/library/tzdata/Antarctica/Syowa b/library/tzdata/Antarctica/Syowa index 1fe030a..a44dd5c 100644 --- a/library/tzdata/Antarctica/Syowa +++ b/library/tzdata/Antarctica/Syowa @@ -2,5 +2,5 @@ set TZData(:Antarctica/Syowa) { {-9223372036854775808 0 0 -00} - {-407808000 10800 0 SYOT} + {-407808000 10800 0 +03} } diff --git a/library/tzdata/Antarctica/Troll b/library/tzdata/Antarctica/Troll index 09727a8..fe44578 100644 --- a/library/tzdata/Antarctica/Troll +++ b/library/tzdata/Antarctica/Troll @@ -2,195 +2,195 @@ set TZData(:Antarctica/Troll) { {-9223372036854775808 0 0 -00} - {1108166400 0 0 UTC} - {1111885200 7200 1 CEST} - {1130634000 0 0 UTC} - {1143334800 7200 1 CEST} - {1162083600 0 0 UTC} - {1174784400 7200 1 CEST} - {1193533200 0 0 UTC} - {1206838800 7200 1 CEST} - {1224982800 0 0 UTC} - {1238288400 7200 1 CEST} - {1256432400 0 0 UTC} - {1269738000 7200 1 CEST} - {1288486800 0 0 UTC} - {1301187600 7200 1 CEST} - {1319936400 0 0 UTC} - {1332637200 7200 1 CEST} - {1351386000 0 0 UTC} - {1364691600 7200 1 CEST} - {1382835600 0 0 UTC} - {1396141200 7200 1 CEST} - {1414285200 0 0 UTC} - {1427590800 7200 1 CEST} - {1445734800 0 0 UTC} - {1459040400 7200 1 CEST} - {1477789200 0 0 UTC} - {1490490000 7200 1 CEST} - {1509238800 0 0 UTC} - {1521939600 7200 1 CEST} - {1540688400 0 0 UTC} - {1553994000 7200 1 CEST} - {1572138000 0 0 UTC} - {1585443600 7200 1 CEST} - {1603587600 0 0 UTC} - {1616893200 7200 1 CEST} - {1635642000 0 0 UTC} - {1648342800 7200 1 CEST} - {1667091600 0 0 UTC} - {1679792400 7200 1 CEST} - {1698541200 0 0 UTC} - {1711846800 7200 1 CEST} - {1729990800 0 0 UTC} - {1743296400 7200 1 CEST} - {1761440400 0 0 UTC} - {1774746000 7200 1 CEST} - {1792890000 0 0 UTC} - {1806195600 7200 1 CEST} - {1824944400 0 0 UTC} - {1837645200 7200 1 CEST} - {1856394000 0 0 UTC} - {1869094800 7200 1 CEST} - {1887843600 0 0 UTC} - {1901149200 7200 1 CEST} - {1919293200 0 0 UTC} - {1932598800 7200 1 CEST} - {1950742800 0 0 UTC} - {1964048400 7200 1 CEST} - {1982797200 0 0 UTC} - {1995498000 7200 1 CEST} - {2014246800 0 0 UTC} - {2026947600 7200 1 CEST} - {2045696400 0 0 UTC} - {2058397200 7200 1 CEST} - {2077146000 0 0 UTC} - {2090451600 7200 1 CEST} - {2108595600 0 0 UTC} - {2121901200 7200 1 CEST} - {2140045200 0 0 UTC} - {2153350800 7200 1 CEST} - {2172099600 0 0 UTC} - {2184800400 7200 1 CEST} - {2203549200 0 0 UTC} - {2216250000 7200 1 CEST} - {2234998800 0 0 UTC} - {2248304400 7200 1 CEST} - {2266448400 0 0 UTC} - {2279754000 7200 1 CEST} - {2297898000 0 0 UTC} - {2311203600 7200 1 CEST} - {2329347600 0 0 UTC} - {2342653200 7200 1 CEST} - {2361402000 0 0 UTC} - {2374102800 7200 1 CEST} - {2392851600 0 0 UTC} - {2405552400 7200 1 CEST} - {2424301200 0 0 UTC} - {2437606800 7200 1 CEST} - {2455750800 0 0 UTC} - {2469056400 7200 1 CEST} - {2487200400 0 0 UTC} - {2500506000 7200 1 CEST} - {2519254800 0 0 UTC} - {2531955600 7200 1 CEST} - {2550704400 0 0 UTC} - {2563405200 7200 1 CEST} - {2582154000 0 0 UTC} - {2595459600 7200 1 CEST} - {2613603600 0 0 UTC} - {2626909200 7200 1 CEST} - {2645053200 0 0 UTC} - {2658358800 7200 1 CEST} - {2676502800 0 0 UTC} - {2689808400 7200 1 CEST} - {2708557200 0 0 UTC} - {2721258000 7200 1 CEST} - {2740006800 0 0 UTC} - {2752707600 7200 1 CEST} - {2771456400 0 0 UTC} - {2784762000 7200 1 CEST} - {2802906000 0 0 UTC} - {2816211600 7200 1 CEST} - {2834355600 0 0 UTC} - {2847661200 7200 1 CEST} - {2866410000 0 0 UTC} - {2879110800 7200 1 CEST} - {2897859600 0 0 UTC} - {2910560400 7200 1 CEST} - {2929309200 0 0 UTC} - {2942010000 7200 1 CEST} - {2960758800 0 0 UTC} - {2974064400 7200 1 CEST} - {2992208400 0 0 UTC} - {3005514000 7200 1 CEST} - {3023658000 0 0 UTC} - {3036963600 7200 1 CEST} - {3055712400 0 0 UTC} - {3068413200 7200 1 CEST} - {3087162000 0 0 UTC} - {3099862800 7200 1 CEST} - {3118611600 0 0 UTC} - {3131917200 7200 1 CEST} - {3150061200 0 0 UTC} - {3163366800 7200 1 CEST} - {3181510800 0 0 UTC} - {3194816400 7200 1 CEST} - {3212960400 0 0 UTC} - {3226266000 7200 1 CEST} - {3245014800 0 0 UTC} - {3257715600 7200 1 CEST} - {3276464400 0 0 UTC} - {3289165200 7200 1 CEST} - {3307914000 0 0 UTC} - {3321219600 7200 1 CEST} - {3339363600 0 0 UTC} - {3352669200 7200 1 CEST} - {3370813200 0 0 UTC} - {3384118800 7200 1 CEST} - {3402867600 0 0 UTC} - {3415568400 7200 1 CEST} - {3434317200 0 0 UTC} - {3447018000 7200 1 CEST} - {3465766800 0 0 UTC} - {3479072400 7200 1 CEST} - {3497216400 0 0 UTC} - {3510522000 7200 1 CEST} - {3528666000 0 0 UTC} - {3541971600 7200 1 CEST} - {3560115600 0 0 UTC} - {3573421200 7200 1 CEST} - {3592170000 0 0 UTC} - {3604870800 7200 1 CEST} - {3623619600 0 0 UTC} - {3636320400 7200 1 CEST} - {3655069200 0 0 UTC} - {3668374800 7200 1 CEST} - {3686518800 0 0 UTC} - {3699824400 7200 1 CEST} - {3717968400 0 0 UTC} - {3731274000 7200 1 CEST} - {3750022800 0 0 UTC} - {3762723600 7200 1 CEST} - {3781472400 0 0 UTC} - {3794173200 7200 1 CEST} - {3812922000 0 0 UTC} - {3825622800 7200 1 CEST} - {3844371600 0 0 UTC} - {3857677200 7200 1 CEST} - {3875821200 0 0 UTC} - {3889126800 7200 1 CEST} - {3907270800 0 0 UTC} - {3920576400 7200 1 CEST} - {3939325200 0 0 UTC} - {3952026000 7200 1 CEST} - {3970774800 0 0 UTC} - {3983475600 7200 1 CEST} - {4002224400 0 0 UTC} - {4015530000 7200 1 CEST} - {4033674000 0 0 UTC} - {4046979600 7200 1 CEST} - {4065123600 0 0 UTC} - {4078429200 7200 1 CEST} - {4096573200 0 0 UTC} + {1108166400 0 0 +00} + {1111885200 7200 1 +02} + {1130634000 0 0 +00} + {1143334800 7200 1 +02} + {1162083600 0 0 +00} + {1174784400 7200 1 +02} + {1193533200 0 0 +00} + {1206838800 7200 1 +02} + {1224982800 0 0 +00} + {1238288400 7200 1 +02} + {1256432400 0 0 +00} + {1269738000 7200 1 +02} + {1288486800 0 0 +00} + {1301187600 7200 1 +02} + {1319936400 0 0 +00} + {1332637200 7200 1 +02} + {1351386000 0 0 +00} + {1364691600 7200 1 +02} + {1382835600 0 0 +00} + {1396141200 7200 1 +02} + {1414285200 0 0 +00} + {1427590800 7200 1 +02} + {1445734800 0 0 +00} + {1459040400 7200 1 +02} + {1477789200 0 0 +00} + {1490490000 7200 1 +02} + {1509238800 0 0 +00} + {1521939600 7200 1 +02} + {1540688400 0 0 +00} + {1553994000 7200 1 +02} + {1572138000 0 0 +00} + {1585443600 7200 1 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0 +00} + {2248304400 7200 1 +02} + {2266448400 0 0 +00} + {2279754000 7200 1 +02} + {2297898000 0 0 +00} + {2311203600 7200 1 +02} + {2329347600 0 0 +00} + {2342653200 7200 1 +02} + {2361402000 0 0 +00} + {2374102800 7200 1 +02} + {2392851600 0 0 +00} + {2405552400 7200 1 +02} + {2424301200 0 0 +00} + {2437606800 7200 1 +02} + {2455750800 0 0 +00} + {2469056400 7200 1 +02} + {2487200400 0 0 +00} + {2500506000 7200 1 +02} + {2519254800 0 0 +00} + {2531955600 7200 1 +02} + {2550704400 0 0 +00} + {2563405200 7200 1 +02} + {2582154000 0 0 +00} + {2595459600 7200 1 +02} + {2613603600 0 0 +00} + {2626909200 7200 1 +02} + {2645053200 0 0 +00} + {2658358800 7200 1 +02} + {2676502800 0 0 +00} + {2689808400 7200 1 +02} + {2708557200 0 0 +00} + {2721258000 7200 1 +02} + {2740006800 0 0 +00} + {2752707600 7200 1 +02} + {2771456400 0 0 +00} + {2784762000 7200 1 +02} + {2802906000 0 0 +00} + {2816211600 7200 1 +02} + {2834355600 0 0 +00} + {2847661200 7200 1 +02} + {2866410000 0 0 +00} + {2879110800 7200 1 +02} + {2897859600 0 0 +00} + {2910560400 7200 1 +02} + {2929309200 0 0 +00} + {2942010000 7200 1 +02} + {2960758800 0 0 +00} + {2974064400 7200 1 +02} + {2992208400 0 0 +00} + {3005514000 7200 1 +02} + {3023658000 0 0 +00} + {3036963600 7200 1 +02} + {3055712400 0 0 +00} + {3068413200 7200 1 +02} + {3087162000 0 0 +00} + {3099862800 7200 1 +02} + {3118611600 0 0 +00} + {3131917200 7200 1 +02} + {3150061200 0 0 +00} + {3163366800 7200 1 +02} + {3181510800 0 0 +00} + {3194816400 7200 1 +02} + {3212960400 0 0 +00} + {3226266000 7200 1 +02} + {3245014800 0 0 +00} + {3257715600 7200 1 +02} + {3276464400 0 0 +00} + {3289165200 7200 1 +02} + {3307914000 0 0 +00} + {3321219600 7200 1 +02} + {3339363600 0 0 +00} + {3352669200 7200 1 +02} + {3370813200 0 0 +00} + {3384118800 7200 1 +02} + {3402867600 0 0 +00} + {3415568400 7200 1 +02} + {3434317200 0 0 +00} + {3447018000 7200 1 +02} + {3465766800 0 0 +00} + {3479072400 7200 1 +02} + {3497216400 0 0 +00} + {3510522000 7200 1 +02} + {3528666000 0 0 +00} + {3541971600 7200 1 +02} + {3560115600 0 0 +00} + {3573421200 7200 1 +02} + {3592170000 0 0 +00} + {3604870800 7200 1 +02} + {3623619600 0 0 +00} + {3636320400 7200 1 +02} + {3655069200 0 0 +00} + {3668374800 7200 1 +02} + {3686518800 0 0 +00} + {3699824400 7200 1 +02} + {3717968400 0 0 +00} + {3731274000 7200 1 +02} + {3750022800 0 0 +00} + {3762723600 7200 1 +02} + {3781472400 0 0 +00} + {3794173200 7200 1 +02} + {3812922000 0 0 +00} + {3825622800 7200 1 +02} + {3844371600 0 0 +00} + {3857677200 7200 1 +02} + {3875821200 0 0 +00} + {3889126800 7200 1 +02} + {3907270800 0 0 +00} + {3920576400 7200 1 +02} + {3939325200 0 0 +00} + {3952026000 7200 1 +02} + {3970774800 0 0 +00} + {3983475600 7200 1 +02} + {4002224400 0 0 +00} + {4015530000 7200 1 +02} + {4033674000 0 0 +00} + {4046979600 7200 1 +02} + {4065123600 0 0 +00} + {4078429200 7200 1 +02} + {4096573200 0 0 +00} } diff --git a/library/tzdata/Antarctica/Vostok b/library/tzdata/Antarctica/Vostok index a59868b..7f345a2 100644 --- a/library/tzdata/Antarctica/Vostok +++ b/library/tzdata/Antarctica/Vostok @@ -2,5 +2,5 @@ set TZData(:Antarctica/Vostok) { {-9223372036854775808 0 0 -00} - {-380073600 21600 0 VOST} + {-380073600 21600 0 +06} } diff --git a/library/tzdata/Asia/Anadyr b/library/tzdata/Asia/Anadyr index 2e8ffc7..d1314c6 100644 --- a/library/tzdata/Asia/Anadyr +++ b/library/tzdata/Asia/Anadyr @@ -2,71 +2,71 @@ set TZData(:Asia/Anadyr) { {-9223372036854775808 42596 0 LMT} - {-1441194596 43200 0 ANAT} - {-1247572800 46800 0 ANAMMTT} - {354884400 50400 1 ANAST} - {370692000 46800 0 ANAT} - {386420400 43200 0 ANAMMTT} - {386424000 46800 1 ANAST} - {402231600 43200 0 ANAT} - {417960000 46800 1 ANAST} - {433767600 43200 0 ANAT} - {449582400 46800 1 ANAST} - {465314400 43200 0 ANAT} - {481039200 46800 1 ANAST} - {496764000 43200 0 ANAT} - {512488800 46800 1 ANAST} - {528213600 43200 0 ANAT} - {543938400 46800 1 ANAST} - {559663200 43200 0 ANAT} - {575388000 46800 1 ANAST} - {591112800 43200 0 ANAT} - {606837600 46800 1 ANAST} - {622562400 43200 0 ANAT} - {638287200 46800 1 ANAST} - {654616800 43200 0 ANAT} - {670341600 39600 0 ANAMMTT} - {670345200 43200 1 ANAST} - {686070000 39600 0 ANAT} - {695746800 43200 0 ANAMMTT} - {701791200 46800 1 ANAST} - {717516000 43200 0 ANAT} - {733240800 46800 1 ANAST} - {748965600 43200 0 ANAT} - {764690400 46800 1 ANAST} - {780415200 43200 0 ANAT} - {796140000 46800 1 ANAST} - {811864800 43200 0 ANAT} - {828194400 46800 1 ANAST} - {846338400 43200 0 ANAT} - {859644000 46800 1 ANAST} - {877788000 43200 0 ANAT} - {891093600 46800 1 ANAST} - {909237600 43200 0 ANAT} - {922543200 46800 1 ANAST} - {941292000 43200 0 ANAT} - {953992800 46800 1 ANAST} - {972741600 43200 0 ANAT} - {985442400 46800 1 ANAST} - {1004191200 43200 0 ANAT} - {1017496800 46800 1 ANAST} - {1035640800 43200 0 ANAT} - {1048946400 46800 1 ANAST} - {1067090400 43200 0 ANAT} - {1080396000 46800 1 ANAST} - {1099144800 43200 0 ANAT} - {1111845600 46800 1 ANAST} - {1130594400 43200 0 ANAT} - {1143295200 46800 1 ANAST} - {1162044000 43200 0 ANAT} - {1174744800 46800 1 ANAST} - {1193493600 43200 0 ANAT} - {1206799200 46800 1 ANAST} - {1224943200 43200 0 ANAT} - {1238248800 46800 1 ANAST} - {1256392800 43200 0 ANAT} - {1269698400 39600 0 ANAMMTT} - {1269702000 43200 1 ANAST} - {1288450800 39600 0 ANAT} - {1301151600 43200 0 ANAT} + {-1441194596 43200 0 +12} + {-1247572800 46800 0 +14} + {354884400 50400 1 +14} + {370692000 46800 0 +13} + {386420400 43200 0 +13} + {386424000 46800 1 +13} + {402231600 43200 0 +12} + {417960000 46800 1 +13} + {433767600 43200 0 +12} + {449582400 46800 1 +13} + {465314400 43200 0 +12} + {481039200 46800 1 +13} + {496764000 43200 0 +12} + {512488800 46800 1 +13} + {528213600 43200 0 +12} + {543938400 46800 1 +13} + {559663200 43200 0 +12} + {575388000 46800 1 +13} + {591112800 43200 0 +12} + {606837600 46800 1 +13} + {622562400 43200 0 +12} + {638287200 46800 1 +13} + {654616800 43200 0 +12} + {670341600 39600 0 +12} + {670345200 43200 1 +12} + {686070000 39600 0 +11} + {695746800 43200 0 +13} + {701791200 46800 1 +13} + {717516000 43200 0 +12} + {733240800 46800 1 +13} + {748965600 43200 0 +12} + {764690400 46800 1 +13} + {780415200 43200 0 +12} + {796140000 46800 1 +13} + {811864800 43200 0 +12} + {828194400 46800 1 +13} + {846338400 43200 0 +12} + {859644000 46800 1 +13} + {877788000 43200 0 +12} + {891093600 46800 1 +13} + {909237600 43200 0 +12} + {922543200 46800 1 +13} + {941292000 43200 0 +12} + {953992800 46800 1 +13} + {972741600 43200 0 +12} + {985442400 46800 1 +13} + {1004191200 43200 0 +12} + {1017496800 46800 1 +13} + {1035640800 43200 0 +12} + {1048946400 46800 1 +13} + {1067090400 43200 0 +12} + {1080396000 46800 1 +13} + {1099144800 43200 0 +12} + {1111845600 46800 1 +13} + {1130594400 43200 0 +12} + {1143295200 46800 1 +13} + {1162044000 43200 0 +12} + {1174744800 46800 1 +13} + {1193493600 43200 0 +12} + {1206799200 46800 1 +13} + {1224943200 43200 0 +12} + {1238248800 46800 1 +13} + {1256392800 43200 0 +12} + {1269698400 39600 0 +12} + {1269702000 43200 1 +12} + {1288450800 39600 0 +11} + {1301151600 43200 0 +12} } diff --git a/library/tzdata/Asia/Ashgabat b/library/tzdata/Asia/Ashgabat index 64bdb3a..fa6a619 100644 --- a/library/tzdata/Asia/Ashgabat +++ b/library/tzdata/Asia/Ashgabat @@ -2,30 +2,30 @@ set TZData(:Asia/Ashgabat) { {-9223372036854775808 14012 0 LMT} - {-1441166012 14400 0 ASHT} - {-1247544000 18000 0 ASHT} - {354913200 21600 1 ASHST} - {370720800 18000 0 ASHT} - {386449200 21600 1 ASHST} - {402256800 18000 0 ASHT} - {417985200 21600 1 ASHST} - {433792800 18000 0 ASHT} - {449607600 21600 1 ASHST} - {465339600 18000 0 ASHT} - {481064400 21600 1 ASHST} - {496789200 18000 0 ASHT} - {512514000 21600 1 ASHST} - {528238800 18000 0 ASHT} - {543963600 21600 1 ASHST} - {559688400 18000 0 ASHT} - {575413200 21600 1 ASHST} - {591138000 18000 0 ASHT} - {606862800 21600 1 ASHST} - {622587600 18000 0 ASHT} - {638312400 21600 1 ASHST} - {654642000 18000 0 ASHT} - {670366800 14400 0 ASHT} - {670370400 18000 1 ASHST} - {686095200 14400 0 ASHT} - {695772000 18000 0 TMT} + {-1441166012 14400 0 +04} + {-1247544000 18000 0 +05} + {354913200 21600 1 +06} + {370720800 18000 0 +05} + {386449200 21600 1 +06} + {402256800 18000 0 +05} + {417985200 21600 1 +06} + {433792800 18000 0 +05} + {449607600 21600 1 +06} + {465339600 18000 0 +05} + {481064400 21600 1 +06} + {496789200 18000 0 +05} + {512514000 21600 1 +06} + {528238800 18000 0 +05} + {543963600 21600 1 +06} + {559688400 18000 0 +05} + {575413200 21600 1 +06} + {591138000 18000 0 +05} + {606862800 21600 1 +06} + {622587600 18000 0 +05} + {638312400 21600 1 +06} + {654642000 18000 0 +05} + {670366800 14400 0 +04} + {670370400 18000 1 +05} + {686095200 14400 0 +04} + {695772000 18000 0 +05} } diff --git a/library/tzdata/Asia/Baku b/library/tzdata/Asia/Baku index e9ee835..f945b89 100644 --- a/library/tzdata/Asia/Baku +++ b/library/tzdata/Asia/Baku @@ -2,73 +2,73 @@ set TZData(:Asia/Baku) { {-9223372036854775808 11964 0 LMT} - {-1441163964 10800 0 BAKT} - {-405140400 14400 0 BAKT} - {354916800 18000 1 BAKST} - {370724400 14400 0 BAKT} - {386452800 18000 1 BAKST} - {402260400 14400 0 BAKT} - {417988800 18000 1 BAKST} - {433796400 14400 0 BAKT} - {449611200 18000 1 BAKST} - {465343200 14400 0 BAKT} - {481068000 18000 1 BAKST} - {496792800 14400 0 BAKT} - {512517600 18000 1 BAKST} - {528242400 14400 0 BAKT} - {543967200 18000 1 BAKST} - {559692000 14400 0 BAKT} - {575416800 18000 1 BAKST} - {591141600 14400 0 BAKT} - {606866400 18000 1 BAKST} - {622591200 14400 0 BAKT} - {638316000 18000 1 BAKST} - {654645600 14400 0 BAKT} - {670370400 14400 1 BAKST} - {683496000 14400 0 AZST} - {686098800 10800 0 AZT} - {701823600 14400 1 AZST} - {717548400 14400 0 AZT} - {820440000 14400 0 AZT} - {828234000 18000 1 AZST} - {846378000 14400 0 AZT} - {852062400 14400 0 AZT} - {859680000 18000 1 AZST} - {877824000 14400 0 AZT} - {891129600 18000 1 AZST} - {909273600 14400 0 AZT} - {922579200 18000 1 AZST} - {941328000 14400 0 AZT} - {954028800 18000 1 AZST} - {972777600 14400 0 AZT} - {985478400 18000 1 AZST} - {1004227200 14400 0 AZT} - {1017532800 18000 1 AZST} - {1035676800 14400 0 AZT} - {1048982400 18000 1 AZST} - {1067126400 14400 0 AZT} - {1080432000 18000 1 AZST} - {1099180800 14400 0 AZT} - {1111881600 18000 1 AZST} - {1130630400 14400 0 AZT} - {1143331200 18000 1 AZST} - {1162080000 14400 0 AZT} - {1174780800 18000 1 AZST} - {1193529600 14400 0 AZT} - {1206835200 18000 1 AZST} - {1224979200 14400 0 AZT} - {1238284800 18000 1 AZST} - {1256428800 14400 0 AZT} - {1269734400 18000 1 AZST} - {1288483200 14400 0 AZT} - {1301184000 18000 1 AZST} - {1319932800 14400 0 AZT} - {1332633600 18000 1 AZST} - {1351382400 14400 0 AZT} - {1364688000 18000 1 AZST} - {1382832000 14400 0 AZT} - {1396137600 18000 1 AZST} - {1414281600 14400 0 AZT} - {1427587200 18000 1 AZST} - {1445731200 14400 0 AZT} + {-1441163964 10800 0 +03} + {-405140400 14400 0 +04} + {354916800 18000 1 +05} + {370724400 14400 0 +04} + {386452800 18000 1 +05} + {402260400 14400 0 +04} + {417988800 18000 1 +05} + {433796400 14400 0 +04} + {449611200 18000 1 +05} + {465343200 14400 0 +04} + {481068000 18000 1 +05} + {496792800 14400 0 +04} + {512517600 18000 1 +05} + {528242400 14400 0 +04} + {543967200 18000 1 +05} + {559692000 14400 0 +04} + {575416800 18000 1 +05} + {591141600 14400 0 +04} + {606866400 18000 1 +05} + {622591200 14400 0 +04} + {638316000 18000 1 +05} + {654645600 14400 0 +04} + {670370400 10800 0 +03} + {670374000 14400 1 +04} + {686098800 10800 0 +03} + {701823600 14400 1 +04} + {717548400 14400 0 +04} + {820440000 14400 0 +04} + {828234000 18000 1 +05} + {846378000 14400 0 +04} + {852062400 14400 0 +04} + {859680000 18000 1 +05} + {877824000 14400 0 +04} + {891129600 18000 1 +05} + {909273600 14400 0 +04} + {922579200 18000 1 +05} + {941328000 14400 0 +04} + {954028800 18000 1 +05} + {972777600 14400 0 +04} + {985478400 18000 1 +05} + {1004227200 14400 0 +04} + {1017532800 18000 1 +05} + {1035676800 14400 0 +04} + {1048982400 18000 1 +05} + {1067126400 14400 0 +04} + {1080432000 18000 1 +05} + {1099180800 14400 0 +04} + {1111881600 18000 1 +05} + {1130630400 14400 0 +04} + {1143331200 18000 1 +05} + {1162080000 14400 0 +04} + {1174780800 18000 1 +05} + {1193529600 14400 0 +04} + {1206835200 18000 1 +05} + {1224979200 14400 0 +04} + {1238284800 18000 1 +05} + {1256428800 14400 0 +04} + {1269734400 18000 1 +05} + {1288483200 14400 0 +04} + {1301184000 18000 1 +05} + {1319932800 14400 0 +04} + {1332633600 18000 1 +05} + {1351382400 14400 0 +04} + {1364688000 18000 1 +05} + {1382832000 14400 0 +04} + {1396137600 18000 1 +05} + {1414281600 14400 0 +04} + {1427587200 18000 1 +05} + {1445731200 14400 0 +04} } diff --git a/library/tzdata/Asia/Bishkek b/library/tzdata/Asia/Bishkek index 6ba3896..a02d789 100644 --- a/library/tzdata/Asia/Bishkek +++ b/library/tzdata/Asia/Bishkek @@ -2,56 +2,57 @@ set TZData(:Asia/Bishkek) { {-9223372036854775808 17904 0 LMT} - {-1441169904 18000 0 FRUT} - {-1247547600 21600 0 FRUT} - {354909600 25200 1 FRUST} - {370717200 21600 0 FRUT} - {386445600 25200 1 FRUST} - {402253200 21600 0 FRUT} - {417981600 25200 1 FRUST} - {433789200 21600 0 FRUT} - {449604000 25200 1 FRUST} - {465336000 21600 0 FRUT} - {481060800 25200 1 FRUST} - {496785600 21600 0 FRUT} - {512510400 25200 1 FRUST} - {528235200 21600 0 FRUT} - {543960000 25200 1 FRUST} - {559684800 21600 0 FRUT} - {575409600 25200 1 FRUST} - {591134400 21600 0 FRUT} - {606859200 25200 1 FRUST} - {622584000 21600 0 FRUT} - {638308800 25200 1 FRUST} - {654638400 21600 0 FRUT} - {670363200 21600 1 FRUST} - {683582400 21600 0 KGT} - {703018800 21600 1 KGST} - {717530400 18000 0 KGT} - {734468400 21600 1 KGST} - {748980000 18000 0 KGT} - {765918000 21600 1 KGST} - {780429600 18000 0 KGT} - {797367600 21600 1 KGST} - {811879200 18000 0 KGT} - {828817200 21600 1 KGST} - {843933600 18000 0 KGT} - {859671000 21600 1 KGST} - {877811400 18000 0 KGT} - {891120600 21600 1 KGST} - {909261000 18000 0 KGT} - {922570200 21600 1 KGST} - {941315400 18000 0 KGT} - {954019800 21600 1 KGST} - {972765000 18000 0 KGT} - {985469400 21600 1 KGST} - {1004214600 18000 0 KGT} - {1017523800 21600 1 KGST} - {1035664200 18000 0 KGT} - {1048973400 21600 1 KGST} - {1067113800 18000 0 KGT} - {1080423000 21600 1 KGST} - {1099168200 18000 0 KGT} - {1111872600 21600 1 KGST} - {1123783200 21600 0 KGT} + {-1441169904 18000 0 +05} + {-1247547600 21600 0 +06} + {354909600 25200 1 +07} + {370717200 21600 0 +06} + {386445600 25200 1 +07} + {402253200 21600 0 +06} + {417981600 25200 1 +07} + {433789200 21600 0 +06} + {449604000 25200 1 +07} + {465336000 21600 0 +06} + {481060800 25200 1 +07} + {496785600 21600 0 +06} + {512510400 25200 1 +07} + {528235200 21600 0 +06} + {543960000 25200 1 +07} + {559684800 21600 0 +06} + {575409600 25200 1 +07} + {591134400 21600 0 +06} + {606859200 25200 1 +07} + {622584000 21600 0 +06} + {638308800 25200 1 +07} + {654638400 21600 0 +06} + {670363200 18000 0 +05} + {670366800 21600 1 +06} + {683586000 18000 0 +05} + {703018800 21600 1 +06} + {717530400 18000 0 +05} + {734468400 21600 1 +06} + {748980000 18000 0 +05} + {765918000 21600 1 +06} + {780429600 18000 0 +05} + {797367600 21600 1 +06} + {811879200 18000 0 +05} + {828817200 21600 1 +06} + {843933600 18000 0 +05} + {859671000 21600 1 +06} + {877811400 18000 0 +05} + {891120600 21600 1 +06} + {909261000 18000 0 +05} + {922570200 21600 1 +06} + {941315400 18000 0 +05} + {954019800 21600 1 +06} + {972765000 18000 0 +05} + {985469400 21600 1 +06} + {1004214600 18000 0 +05} + {1017523800 21600 1 +06} + {1035664200 18000 0 +05} + {1048973400 21600 1 +06} + {1067113800 18000 0 +05} + {1080423000 21600 1 +06} + {1099168200 18000 0 +05} + {1111872600 21600 1 +06} + {1123783200 21600 0 +06} } diff --git a/library/tzdata/Asia/Chita b/library/tzdata/Asia/Chita index 2517beb..279c016 100644 --- a/library/tzdata/Asia/Chita +++ b/library/tzdata/Asia/Chita @@ -2,71 +2,71 @@ set TZData(:Asia/Chita) { {-9223372036854775808 27232 0 LMT} - {-1579419232 28800 0 YAKT} - {-1247558400 32400 0 YAKMMTT} - {354898800 36000 1 YAKST} - {370706400 32400 0 YAKT} - {386434800 36000 1 YAKST} - {402242400 32400 0 YAKT} - {417970800 36000 1 YAKST} - {433778400 32400 0 YAKT} - {449593200 36000 1 YAKST} - {465325200 32400 0 YAKT} - {481050000 36000 1 YAKST} - {496774800 32400 0 YAKT} - {512499600 36000 1 YAKST} - {528224400 32400 0 YAKT} - {543949200 36000 1 YAKST} - {559674000 32400 0 YAKT} - {575398800 36000 1 YAKST} - {591123600 32400 0 YAKT} - {606848400 36000 1 YAKST} - {622573200 32400 0 YAKT} - {638298000 36000 1 YAKST} - {654627600 32400 0 YAKT} - {670352400 28800 0 YAKMMTT} - {670356000 32400 1 YAKST} - {686080800 28800 0 YAKT} - {695757600 32400 0 YAKMMTT} - {701802000 36000 1 YAKST} - {717526800 32400 0 YAKT} - {733251600 36000 1 YAKST} - {748976400 32400 0 YAKT} - {764701200 36000 1 YAKST} - {780426000 32400 0 YAKT} - {796150800 36000 1 YAKST} - {811875600 32400 0 YAKT} - {828205200 36000 1 YAKST} - {846349200 32400 0 YAKT} - {859654800 36000 1 YAKST} - {877798800 32400 0 YAKT} - {891104400 36000 1 YAKST} - {909248400 32400 0 YAKT} - {922554000 36000 1 YAKST} - {941302800 32400 0 YAKT} - {954003600 36000 1 YAKST} - {972752400 32400 0 YAKT} - {985453200 36000 1 YAKST} - {1004202000 32400 0 YAKT} - {1017507600 36000 1 YAKST} - {1035651600 32400 0 YAKT} - {1048957200 36000 1 YAKST} - {1067101200 32400 0 YAKT} - {1080406800 36000 1 YAKST} - {1099155600 32400 0 YAKT} - {1111856400 36000 1 YAKST} - {1130605200 32400 0 YAKT} - {1143306000 36000 1 YAKST} - {1162054800 32400 0 YAKT} - {1174755600 36000 1 YAKST} - {1193504400 32400 0 YAKT} - {1206810000 36000 1 YAKST} - {1224954000 32400 0 YAKT} - {1238259600 36000 1 YAKST} - {1256403600 32400 0 YAKT} - {1269709200 36000 1 YAKST} - {1288458000 32400 0 YAKT} - {1301158800 36000 0 YAKT} - {1414252800 28800 0 IRKT} - {1459015200 32400 0 YAKT} + {-1579419232 28800 0 +08} + {-1247558400 32400 0 +10} + {354898800 36000 1 +10} + {370706400 32400 0 +09} + {386434800 36000 1 +10} + {402242400 32400 0 +09} + {417970800 36000 1 +10} + {433778400 32400 0 +09} + {449593200 36000 1 +10} + {465325200 32400 0 +09} + {481050000 36000 1 +10} + {496774800 32400 0 +09} + {512499600 36000 1 +10} + {528224400 32400 0 +09} + {543949200 36000 1 +10} + {559674000 32400 0 +09} + {575398800 36000 1 +10} + {591123600 32400 0 +09} + {606848400 36000 1 +10} + {622573200 32400 0 +09} + {638298000 36000 1 +10} + {654627600 32400 0 +09} + {670352400 28800 0 +09} + {670356000 32400 1 +09} + {686080800 28800 0 +08} + {695757600 32400 0 +10} + {701802000 36000 1 +10} + {717526800 32400 0 +09} + {733251600 36000 1 +10} + {748976400 32400 0 +09} + {764701200 36000 1 +10} + {780426000 32400 0 +09} + {796150800 36000 1 +10} + {811875600 32400 0 +09} + {828205200 36000 1 +10} + {846349200 32400 0 +09} + {859654800 36000 1 +10} + {877798800 32400 0 +09} + {891104400 36000 1 +10} + {909248400 32400 0 +09} + {922554000 36000 1 +10} + {941302800 32400 0 +09} + {954003600 36000 1 +10} + {972752400 32400 0 +09} + {985453200 36000 1 +10} + {1004202000 32400 0 +09} + {1017507600 36000 1 +10} + {1035651600 32400 0 +09} + {1048957200 36000 1 +10} + {1067101200 32400 0 +09} + {1080406800 36000 1 +10} + {1099155600 32400 0 +09} + {1111856400 36000 1 +10} + {1130605200 32400 0 +09} + {1143306000 36000 1 +10} + {1162054800 32400 0 +09} + {1174755600 36000 1 +10} + {1193504400 32400 0 +09} + {1206810000 36000 1 +10} + {1224954000 32400 0 +09} + {1238259600 36000 1 +10} + {1256403600 32400 0 +09} + {1269709200 36000 1 +10} + {1288458000 32400 0 +09} + {1301158800 36000 0 +10} + {1414252800 28800 0 +08} + {1459015200 32400 0 +09} } diff --git a/library/tzdata/Asia/Dushanbe b/library/tzdata/Asia/Dushanbe index 59f8cb6..e9ed132 100644 --- a/library/tzdata/Asia/Dushanbe +++ b/library/tzdata/Asia/Dushanbe @@ -2,28 +2,28 @@ set TZData(:Asia/Dushanbe) { {-9223372036854775808 16512 0 LMT} - {-1441168512 18000 0 DUST} - {-1247547600 21600 0 DUST} - {354909600 25200 1 DUSST} - {370717200 21600 0 DUST} - {386445600 25200 1 DUSST} - {402253200 21600 0 DUST} - {417981600 25200 1 DUSST} - {433789200 21600 0 DUST} - {449604000 25200 1 DUSST} - {465336000 21600 0 DUST} - {481060800 25200 1 DUSST} - {496785600 21600 0 DUST} - {512510400 25200 1 DUSST} - {528235200 21600 0 DUST} - {543960000 25200 1 DUSST} - {559684800 21600 0 DUST} - {575409600 25200 1 DUSST} - {591134400 21600 0 DUST} - {606859200 25200 1 DUSST} - {622584000 21600 0 DUST} - {638308800 25200 1 DUSST} - {654638400 21600 0 DUST} - {670363200 21600 1 DUSST} - {684363600 18000 0 TJT} + {-1441168512 18000 0 +05} + {-1247547600 21600 0 +06} + {354909600 25200 1 +07} + {370717200 21600 0 +06} + {386445600 25200 1 +07} + {402253200 21600 0 +06} + {417981600 25200 1 +07} + {433789200 21600 0 +06} + {449604000 25200 1 +07} + {465336000 21600 0 +06} + {481060800 25200 1 +07} + {496785600 21600 0 +06} + {512510400 25200 1 +07} + {528235200 21600 0 +06} + {543960000 25200 1 +07} + {559684800 21600 0 +06} + {575409600 25200 1 +07} + {591134400 21600 0 +06} + {606859200 25200 1 +07} + {622584000 21600 0 +06} + {638308800 25200 1 +07} + {654638400 21600 0 +06} + {670363200 21600 1 +06} + {684363600 18000 0 +05} } diff --git a/library/tzdata/Asia/Irkutsk b/library/tzdata/Asia/Irkutsk index ebe00c3..9666969 100644 --- a/library/tzdata/Asia/Irkutsk +++ b/library/tzdata/Asia/Irkutsk @@ -3,70 +3,70 @@ set TZData(:Asia/Irkutsk) { {-9223372036854775808 25025 0 LMT} {-2840165825 25025 0 IMT} - {-1575874625 25200 0 IRKT} - {-1247554800 28800 0 IRKMMTT} - {354902400 32400 1 IRKST} - {370710000 28800 0 IRKT} - {386438400 32400 1 IRKST} - {402246000 28800 0 IRKT} - {417974400 32400 1 IRKST} - {433782000 28800 0 IRKT} - {449596800 32400 1 IRKST} - {465328800 28800 0 IRKT} - {481053600 32400 1 IRKST} - {496778400 28800 0 IRKT} - {512503200 32400 1 IRKST} - {528228000 28800 0 IRKT} - {543952800 32400 1 IRKST} - {559677600 28800 0 IRKT} - {575402400 32400 1 IRKST} - {591127200 28800 0 IRKT} - {606852000 32400 1 IRKST} - {622576800 28800 0 IRKT} - {638301600 32400 1 IRKST} - {654631200 28800 0 IRKT} - {670356000 25200 0 IRKMMTT} - {670359600 28800 1 IRKST} - {686084400 25200 0 IRKT} - {695761200 28800 0 IRKMMTT} - {701805600 32400 1 IRKST} - {717530400 28800 0 IRKT} - {733255200 32400 1 IRKST} - {748980000 28800 0 IRKT} - {764704800 32400 1 IRKST} - {780429600 28800 0 IRKT} - {796154400 32400 1 IRKST} - {811879200 28800 0 IRKT} - {828208800 32400 1 IRKST} - {846352800 28800 0 IRKT} - {859658400 32400 1 IRKST} - {877802400 28800 0 IRKT} - {891108000 32400 1 IRKST} - {909252000 28800 0 IRKT} - {922557600 32400 1 IRKST} - {941306400 28800 0 IRKT} - {954007200 32400 1 IRKST} - {972756000 28800 0 IRKT} - {985456800 32400 1 IRKST} - {1004205600 28800 0 IRKT} - {1017511200 32400 1 IRKST} - {1035655200 28800 0 IRKT} - {1048960800 32400 1 IRKST} - {1067104800 28800 0 IRKT} - {1080410400 32400 1 IRKST} - {1099159200 28800 0 IRKT} - {1111860000 32400 1 IRKST} - {1130608800 28800 0 IRKT} - {1143309600 32400 1 IRKST} - {1162058400 28800 0 IRKT} - {1174759200 32400 1 IRKST} - {1193508000 28800 0 IRKT} - {1206813600 32400 1 IRKST} - {1224957600 28800 0 IRKT} - {1238263200 32400 1 IRKST} - {1256407200 28800 0 IRKT} - {1269712800 32400 1 IRKST} - {1288461600 28800 0 IRKT} - {1301162400 32400 0 IRKT} - {1414256400 28800 0 IRKT} + {-1575874625 25200 0 +07} + {-1247554800 28800 0 +09} + {354902400 32400 1 +09} + {370710000 28800 0 +08} + {386438400 32400 1 +09} + {402246000 28800 0 +08} + {417974400 32400 1 +09} + {433782000 28800 0 +08} + {449596800 32400 1 +09} + {465328800 28800 0 +08} + {481053600 32400 1 +09} + {496778400 28800 0 +08} + {512503200 32400 1 +09} + {528228000 28800 0 +08} + {543952800 32400 1 +09} + {559677600 28800 0 +08} + {575402400 32400 1 +09} + {591127200 28800 0 +08} + {606852000 32400 1 +09} + {622576800 28800 0 +08} + {638301600 32400 1 +09} + {654631200 28800 0 +08} + {670356000 25200 0 +08} + {670359600 28800 1 +08} + {686084400 25200 0 +07} + {695761200 28800 0 +09} + {701805600 32400 1 +09} + {717530400 28800 0 +08} + {733255200 32400 1 +09} + {748980000 28800 0 +08} + {764704800 32400 1 +09} + {780429600 28800 0 +08} + {796154400 32400 1 +09} + {811879200 28800 0 +08} + {828208800 32400 1 +09} + {846352800 28800 0 +08} + {859658400 32400 1 +09} + {877802400 28800 0 +08} + {891108000 32400 1 +09} + {909252000 28800 0 +08} + {922557600 32400 1 +09} + {941306400 28800 0 +08} + {954007200 32400 1 +09} + {972756000 28800 0 +08} + {985456800 32400 1 +09} + {1004205600 28800 0 +08} + {1017511200 32400 1 +09} + {1035655200 28800 0 +08} + {1048960800 32400 1 +09} + {1067104800 28800 0 +08} + {1080410400 32400 1 +09} + {1099159200 28800 0 +08} + {1111860000 32400 1 +09} + {1130608800 28800 0 +08} + {1143309600 32400 1 +09} + {1162058400 28800 0 +08} + {1174759200 32400 1 +09} + {1193508000 28800 0 +08} + {1206813600 32400 1 +09} + {1224957600 28800 0 +08} + {1238263200 32400 1 +09} + {1256407200 28800 0 +08} + {1269712800 32400 1 +09} + {1288461600 28800 0 +08} + {1301162400 32400 0 +09} + {1414256400 28800 0 +08} } diff --git a/library/tzdata/Asia/Kamchatka b/library/tzdata/Asia/Kamchatka index 2b77154..818fc2d 100644 --- a/library/tzdata/Asia/Kamchatka +++ b/library/tzdata/Asia/Kamchatka @@ -2,70 +2,70 @@ set TZData(:Asia/Kamchatka) { {-9223372036854775808 38076 0 LMT} - {-1487759676 39600 0 PETT} - {-1247569200 43200 0 PETMMTT} - {354888000 46800 1 PETST} - {370695600 43200 0 PETT} - {386424000 46800 1 PETST} - {402231600 43200 0 PETT} - {417960000 46800 1 PETST} - {433767600 43200 0 PETT} - {449582400 46800 1 PETST} - {465314400 43200 0 PETT} - {481039200 46800 1 PETST} - {496764000 43200 0 PETT} - {512488800 46800 1 PETST} - {528213600 43200 0 PETT} - {543938400 46800 1 PETST} - {559663200 43200 0 PETT} - {575388000 46800 1 PETST} - {591112800 43200 0 PETT} - {606837600 46800 1 PETST} - {622562400 43200 0 PETT} - {638287200 46800 1 PETST} - {654616800 43200 0 PETT} - {670341600 39600 0 PETMMTT} - {670345200 43200 1 PETST} - {686070000 39600 0 PETT} - {695746800 43200 0 PETMMTT} - {701791200 46800 1 PETST} - {717516000 43200 0 PETT} - {733240800 46800 1 PETST} - {748965600 43200 0 PETT} - {764690400 46800 1 PETST} - {780415200 43200 0 PETT} - {796140000 46800 1 PETST} - {811864800 43200 0 PETT} - {828194400 46800 1 PETST} - {846338400 43200 0 PETT} - {859644000 46800 1 PETST} - {877788000 43200 0 PETT} - {891093600 46800 1 PETST} - {909237600 43200 0 PETT} - {922543200 46800 1 PETST} - {941292000 43200 0 PETT} - {953992800 46800 1 PETST} - {972741600 43200 0 PETT} - {985442400 46800 1 PETST} - {1004191200 43200 0 PETT} - {1017496800 46800 1 PETST} - {1035640800 43200 0 PETT} - {1048946400 46800 1 PETST} - {1067090400 43200 0 PETT} - {1080396000 46800 1 PETST} - {1099144800 43200 0 PETT} - {1111845600 46800 1 PETST} - {1130594400 43200 0 PETT} - {1143295200 46800 1 PETST} - {1162044000 43200 0 PETT} - {1174744800 46800 1 PETST} - {1193493600 43200 0 PETT} - {1206799200 46800 1 PETST} - {1224943200 43200 0 PETT} - {1238248800 46800 1 PETST} - {1256392800 43200 0 PETT} - {1269698400 39600 0 PETMMTT} - {1269702000 43200 1 PETST} - {1288450800 39600 0 PETT} - {1301151600 43200 0 PETT} + {-1487759676 39600 0 +11} + {-1247569200 43200 0 +13} + {354888000 46800 1 +13} + {370695600 43200 0 +12} + {386424000 46800 1 +13} + {402231600 43200 0 +12} + {417960000 46800 1 +13} + {433767600 43200 0 +12} + {449582400 46800 1 +13} + {465314400 43200 0 +12} + {481039200 46800 1 +13} + {496764000 43200 0 +12} + {512488800 46800 1 +13} + {528213600 43200 0 +12} + {543938400 46800 1 +13} + {559663200 43200 0 +12} + {575388000 46800 1 +13} + {591112800 43200 0 +12} + {606837600 46800 1 +13} + {622562400 43200 0 +12} + {638287200 46800 1 +13} + {654616800 43200 0 +12} + {670341600 39600 0 +12} + {670345200 43200 1 +12} + {686070000 39600 0 +11} + {695746800 43200 0 +13} + {701791200 46800 1 +13} + {717516000 43200 0 +12} + {733240800 46800 1 +13} + {748965600 43200 0 +12} + {764690400 46800 1 +13} + {780415200 43200 0 +12} + {796140000 46800 1 +13} + {811864800 43200 0 +12} + {828194400 46800 1 +13} + {846338400 43200 0 +12} + {859644000 46800 1 +13} + {877788000 43200 0 +12} + {891093600 46800 1 +13} + {909237600 43200 0 +12} + {922543200 46800 1 +13} + {941292000 43200 0 +12} + {953992800 46800 1 +13} + {972741600 43200 0 +12} + {985442400 46800 1 +13} + {1004191200 43200 0 +12} + {1017496800 46800 1 +13} + {1035640800 43200 0 +12} + {1048946400 46800 1 +13} + {1067090400 43200 0 +12} + {1080396000 46800 1 +13} + {1099144800 43200 0 +12} + {1111845600 46800 1 +13} + {1130594400 43200 0 +12} + {1143295200 46800 1 +13} + {1162044000 43200 0 +12} + {1174744800 46800 1 +13} + {1193493600 43200 0 +12} + {1206799200 46800 1 +13} + {1224943200 43200 0 +12} + {1238248800 46800 1 +13} + {1256392800 43200 0 +12} + {1269698400 39600 0 +12} + {1269702000 43200 1 +12} + {1288450800 39600 0 +11} + {1301151600 43200 0 +12} } diff --git a/library/tzdata/Asia/Khandyga b/library/tzdata/Asia/Khandyga index b898e0d..07bffac 100644 --- a/library/tzdata/Asia/Khandyga +++ b/library/tzdata/Asia/Khandyga @@ -2,72 +2,72 @@ set TZData(:Asia/Khandyga) { {-9223372036854775808 32533 0 LMT} - {-1579424533 28800 0 YAKT} - {-1247558400 32400 0 YAKMMTT} - {354898800 36000 1 YAKST} - {370706400 32400 0 YAKT} - {386434800 36000 1 YAKST} - {402242400 32400 0 YAKT} - {417970800 36000 1 YAKST} - {433778400 32400 0 YAKT} - {449593200 36000 1 YAKST} - {465325200 32400 0 YAKT} - {481050000 36000 1 YAKST} - {496774800 32400 0 YAKT} - {512499600 36000 1 YAKST} - {528224400 32400 0 YAKT} - {543949200 36000 1 YAKST} - {559674000 32400 0 YAKT} - {575398800 36000 1 YAKST} - {591123600 32400 0 YAKT} - {606848400 36000 1 YAKST} - {622573200 32400 0 YAKT} - {638298000 36000 1 YAKST} - {654627600 32400 0 YAKT} - {670352400 28800 0 YAKMMTT} - {670356000 32400 1 YAKST} - {686080800 28800 0 YAKT} - {695757600 32400 0 YAKMMTT} - {701802000 36000 1 YAKST} - {717526800 32400 0 YAKT} - {733251600 36000 1 YAKST} - {748976400 32400 0 YAKT} - {764701200 36000 1 YAKST} - {780426000 32400 0 YAKT} - {796150800 36000 1 YAKST} - {811875600 32400 0 YAKT} - {828205200 36000 1 YAKST} - {846349200 32400 0 YAKT} - {859654800 36000 1 YAKST} - {877798800 32400 0 YAKT} - {891104400 36000 1 YAKST} - {909248400 32400 0 YAKT} - {922554000 36000 1 YAKST} - {941302800 32400 0 YAKT} - {954003600 36000 1 YAKST} - {972752400 32400 0 YAKT} - {985453200 36000 1 YAKST} - {1004202000 32400 0 YAKT} - {1017507600 36000 1 YAKST} - {1035651600 32400 0 YAKT} - {1048957200 36000 1 YAKST} - {1067101200 32400 0 YAKT} - {1072882800 36000 0 VLAMMTT} - {1080403200 39600 1 VLAST} - {1099152000 36000 0 VLAT} - {1111852800 39600 1 VLAST} - {1130601600 36000 0 VLAT} - {1143302400 39600 1 VLAST} - {1162051200 36000 0 VLAT} - {1174752000 39600 1 VLAST} - {1193500800 36000 0 VLAT} - {1206806400 39600 1 VLAST} - {1224950400 36000 0 VLAT} - {1238256000 39600 1 VLAST} - {1256400000 36000 0 VLAT} - {1269705600 39600 1 VLAST} - {1288454400 36000 0 VLAT} - {1301155200 39600 0 VLAT} - {1315832400 36000 0 YAKT} - {1414252800 32400 0 YAKT} + {-1579424533 28800 0 +08} + {-1247558400 32400 0 +10} + {354898800 36000 1 +10} + {370706400 32400 0 +09} + {386434800 36000 1 +10} + {402242400 32400 0 +09} + {417970800 36000 1 +10} + {433778400 32400 0 +09} + {449593200 36000 1 +10} + {465325200 32400 0 +09} + {481050000 36000 1 +10} + {496774800 32400 0 +09} + {512499600 36000 1 +10} + {528224400 32400 0 +09} + {543949200 36000 1 +10} + {559674000 32400 0 +09} + {575398800 36000 1 +10} + {591123600 32400 0 +09} + {606848400 36000 1 +10} + {622573200 32400 0 +09} + {638298000 36000 1 +10} + {654627600 32400 0 +09} + {670352400 28800 0 +09} + {670356000 32400 1 +09} + {686080800 28800 0 +08} + {695757600 32400 0 +10} + {701802000 36000 1 +10} + {717526800 32400 0 +09} + {733251600 36000 1 +10} + {748976400 32400 0 +09} + {764701200 36000 1 +10} + {780426000 32400 0 +09} + {796150800 36000 1 +10} + {811875600 32400 0 +09} + {828205200 36000 1 +10} + {846349200 32400 0 +09} + {859654800 36000 1 +10} + {877798800 32400 0 +09} + {891104400 36000 1 +10} + {909248400 32400 0 +09} + {922554000 36000 1 +10} + {941302800 32400 0 +09} + {954003600 36000 1 +10} + {972752400 32400 0 +09} + {985453200 36000 1 +10} + {1004202000 32400 0 +09} + {1017507600 36000 1 +10} + {1035651600 32400 0 +09} + {1048957200 36000 1 +10} + {1067101200 32400 0 +09} + {1072882800 36000 0 +11} + {1080403200 39600 1 +11} + {1099152000 36000 0 +10} + {1111852800 39600 1 +11} + {1130601600 36000 0 +10} + {1143302400 39600 1 +11} + {1162051200 36000 0 +10} + {1174752000 39600 1 +11} + {1193500800 36000 0 +10} + {1206806400 39600 1 +11} + {1224950400 36000 0 +10} + {1238256000 39600 1 +11} + {1256400000 36000 0 +10} + {1269705600 39600 1 +11} + {1288454400 36000 0 +10} + {1301155200 39600 0 +11} + {1315832400 36000 0 +10} + {1414252800 32400 0 +09} } diff --git a/library/tzdata/Asia/Krasnoyarsk b/library/tzdata/Asia/Krasnoyarsk index 3c6285e..0721425 100644 --- a/library/tzdata/Asia/Krasnoyarsk +++ b/library/tzdata/Asia/Krasnoyarsk @@ -2,70 +2,70 @@ set TZData(:Asia/Krasnoyarsk) { {-9223372036854775808 22286 0 LMT} - {-1577513486 21600 0 KRAT} - {-1247551200 25200 0 KRAMMTT} - {354906000 28800 1 KRAST} - {370713600 25200 0 KRAT} - {386442000 28800 1 KRAST} - {402249600 25200 0 KRAT} - {417978000 28800 1 KRAST} - {433785600 25200 0 KRAT} - {449600400 28800 1 KRAST} - {465332400 25200 0 KRAT} - {481057200 28800 1 KRAST} - {496782000 25200 0 KRAT} - {512506800 28800 1 KRAST} - {528231600 25200 0 KRAT} - {543956400 28800 1 KRAST} - {559681200 25200 0 KRAT} - {575406000 28800 1 KRAST} - {591130800 25200 0 KRAT} - {606855600 28800 1 KRAST} - {622580400 25200 0 KRAT} - {638305200 28800 1 KRAST} - {654634800 25200 0 KRAT} - {670359600 21600 0 KRAMMTT} - {670363200 25200 1 KRAST} - {686088000 21600 0 KRAT} - {695764800 25200 0 KRAMMTT} - {701809200 28800 1 KRAST} - {717534000 25200 0 KRAT} - {733258800 28800 1 KRAST} - {748983600 25200 0 KRAT} - {764708400 28800 1 KRAST} - {780433200 25200 0 KRAT} - {796158000 28800 1 KRAST} - {811882800 25200 0 KRAT} - {828212400 28800 1 KRAST} - {846356400 25200 0 KRAT} - {859662000 28800 1 KRAST} - {877806000 25200 0 KRAT} - {891111600 28800 1 KRAST} - {909255600 25200 0 KRAT} - {922561200 28800 1 KRAST} - {941310000 25200 0 KRAT} - {954010800 28800 1 KRAST} - {972759600 25200 0 KRAT} - {985460400 28800 1 KRAST} - {1004209200 25200 0 KRAT} - {1017514800 28800 1 KRAST} - {1035658800 25200 0 KRAT} - {1048964400 28800 1 KRAST} - {1067108400 25200 0 KRAT} - {1080414000 28800 1 KRAST} - {1099162800 25200 0 KRAT} - {1111863600 28800 1 KRAST} - {1130612400 25200 0 KRAT} - {1143313200 28800 1 KRAST} - {1162062000 25200 0 KRAT} - {1174762800 28800 1 KRAST} - {1193511600 25200 0 KRAT} - {1206817200 28800 1 KRAST} - {1224961200 25200 0 KRAT} - {1238266800 28800 1 KRAST} - {1256410800 25200 0 KRAT} - {1269716400 28800 1 KRAST} - {1288465200 25200 0 KRAT} - {1301166000 28800 0 KRAT} - {1414260000 25200 0 KRAT} + {-1577513486 21600 0 +06} + {-1247551200 25200 0 +08} + {354906000 28800 1 +08} + {370713600 25200 0 +07} + {386442000 28800 1 +08} + {402249600 25200 0 +07} + {417978000 28800 1 +08} + {433785600 25200 0 +07} + {449600400 28800 1 +08} + {465332400 25200 0 +07} + {481057200 28800 1 +08} + {496782000 25200 0 +07} + {512506800 28800 1 +08} + {528231600 25200 0 +07} + {543956400 28800 1 +08} + {559681200 25200 0 +07} + {575406000 28800 1 +08} + {591130800 25200 0 +07} + {606855600 28800 1 +08} + {622580400 25200 0 +07} + {638305200 28800 1 +08} + {654634800 25200 0 +07} + {670359600 21600 0 +07} + {670363200 25200 1 +07} + {686088000 21600 0 +06} + {695764800 25200 0 +08} + {701809200 28800 1 +08} + {717534000 25200 0 +07} + {733258800 28800 1 +08} + {748983600 25200 0 +07} + {764708400 28800 1 +08} + {780433200 25200 0 +07} + {796158000 28800 1 +08} + {811882800 25200 0 +07} + {828212400 28800 1 +08} + {846356400 25200 0 +07} + {859662000 28800 1 +08} + {877806000 25200 0 +07} + {891111600 28800 1 +08} + {909255600 25200 0 +07} + {922561200 28800 1 +08} + {941310000 25200 0 +07} + {954010800 28800 1 +08} + {972759600 25200 0 +07} + {985460400 28800 1 +08} + {1004209200 25200 0 +07} + {1017514800 28800 1 +08} + {1035658800 25200 0 +07} + {1048964400 28800 1 +08} + {1067108400 25200 0 +07} + {1080414000 28800 1 +08} + {1099162800 25200 0 +07} + {1111863600 28800 1 +08} + {1130612400 25200 0 +07} + {1143313200 28800 1 +08} + {1162062000 25200 0 +07} + {1174762800 28800 1 +08} + {1193511600 25200 0 +07} + {1206817200 28800 1 +08} + {1224961200 25200 0 +07} + {1238266800 28800 1 +08} + {1256410800 25200 0 +07} + {1269716400 28800 1 +08} + {1288465200 25200 0 +07} + {1301166000 28800 0 +08} + {1414260000 25200 0 +07} } diff --git a/library/tzdata/Asia/Magadan b/library/tzdata/Asia/Magadan index afe78da..0626899 100644 --- a/library/tzdata/Asia/Magadan +++ b/library/tzdata/Asia/Magadan @@ -2,71 +2,71 @@ set TZData(:Asia/Magadan) { {-9223372036854775808 36192 0 LMT} - {-1441188192 36000 0 MAGT} - {-1247565600 39600 0 MAGMMTT} - {354891600 43200 1 MAGST} - {370699200 39600 0 MAGT} - {386427600 43200 1 MAGST} - {402235200 39600 0 MAGT} - {417963600 43200 1 MAGST} - {433771200 39600 0 MAGT} - {449586000 43200 1 MAGST} - {465318000 39600 0 MAGT} - {481042800 43200 1 MAGST} - {496767600 39600 0 MAGT} - {512492400 43200 1 MAGST} - {528217200 39600 0 MAGT} - {543942000 43200 1 MAGST} - {559666800 39600 0 MAGT} - {575391600 43200 1 MAGST} - {591116400 39600 0 MAGT} - {606841200 43200 1 MAGST} - {622566000 39600 0 MAGT} - {638290800 43200 1 MAGST} - {654620400 39600 0 MAGT} - {670345200 36000 0 MAGMMTT} - {670348800 39600 1 MAGST} - {686073600 36000 0 MAGT} - {695750400 39600 0 MAGMMTT} - {701794800 43200 1 MAGST} - {717519600 39600 0 MAGT} - {733244400 43200 1 MAGST} - {748969200 39600 0 MAGT} - {764694000 43200 1 MAGST} - {780418800 39600 0 MAGT} - {796143600 43200 1 MAGST} - {811868400 39600 0 MAGT} - {828198000 43200 1 MAGST} - {846342000 39600 0 MAGT} - {859647600 43200 1 MAGST} - {877791600 39600 0 MAGT} - {891097200 43200 1 MAGST} - {909241200 39600 0 MAGT} - {922546800 43200 1 MAGST} - {941295600 39600 0 MAGT} - {953996400 43200 1 MAGST} - {972745200 39600 0 MAGT} - {985446000 43200 1 MAGST} - {1004194800 39600 0 MAGT} - {1017500400 43200 1 MAGST} - {1035644400 39600 0 MAGT} - {1048950000 43200 1 MAGST} - {1067094000 39600 0 MAGT} - {1080399600 43200 1 MAGST} - {1099148400 39600 0 MAGT} - {1111849200 43200 1 MAGST} - {1130598000 39600 0 MAGT} - {1143298800 43200 1 MAGST} - {1162047600 39600 0 MAGT} - {1174748400 43200 1 MAGST} - {1193497200 39600 0 MAGT} - {1206802800 43200 1 MAGST} - {1224946800 39600 0 MAGT} - {1238252400 43200 1 MAGST} - {1256396400 39600 0 MAGT} - {1269702000 43200 1 MAGST} - {1288450800 39600 0 MAGT} - {1301151600 43200 0 MAGT} - {1414245600 36000 0 MAGT} - {1461427200 39600 0 MAGT} + {-1441188192 36000 0 +10} + {-1247565600 39600 0 +12} + {354891600 43200 1 +12} + {370699200 39600 0 +11} + {386427600 43200 1 +12} + {402235200 39600 0 +11} + {417963600 43200 1 +12} + {433771200 39600 0 +11} + {449586000 43200 1 +12} + {465318000 39600 0 +11} + {481042800 43200 1 +12} + {496767600 39600 0 +11} + {512492400 43200 1 +12} + {528217200 39600 0 +11} + {543942000 43200 1 +12} + {559666800 39600 0 +11} + {575391600 43200 1 +12} + {591116400 39600 0 +11} + {606841200 43200 1 +12} + {622566000 39600 0 +11} + {638290800 43200 1 +12} + {654620400 39600 0 +11} + {670345200 36000 0 +11} + {670348800 39600 1 +11} + {686073600 36000 0 +10} + {695750400 39600 0 +12} + {701794800 43200 1 +12} + {717519600 39600 0 +11} + {733244400 43200 1 +12} + {748969200 39600 0 +11} + {764694000 43200 1 +12} + {780418800 39600 0 +11} + {796143600 43200 1 +12} + {811868400 39600 0 +11} + {828198000 43200 1 +12} + {846342000 39600 0 +11} + {859647600 43200 1 +12} + {877791600 39600 0 +11} + {891097200 43200 1 +12} + {909241200 39600 0 +11} + {922546800 43200 1 +12} + {941295600 39600 0 +11} + {953996400 43200 1 +12} + {972745200 39600 0 +11} + {985446000 43200 1 +12} + {1004194800 39600 0 +11} + {1017500400 43200 1 +12} + {1035644400 39600 0 +11} + {1048950000 43200 1 +12} + {1067094000 39600 0 +11} + {1080399600 43200 1 +12} + {1099148400 39600 0 +11} + {1111849200 43200 1 +12} + {1130598000 39600 0 +11} + {1143298800 43200 1 +12} + {1162047600 39600 0 +11} + {1174748400 43200 1 +12} + {1193497200 39600 0 +11} + {1206802800 43200 1 +12} + {1224946800 39600 0 +11} + {1238252400 43200 1 +12} + {1256396400 39600 0 +11} + {1269702000 43200 1 +12} + {1288450800 39600 0 +11} + {1301151600 43200 0 +12} + {1414245600 36000 0 +10} + {1461427200 39600 0 +11} } diff --git a/library/tzdata/Asia/Omsk b/library/tzdata/Asia/Omsk index a6fa180..74163d5 100644 --- a/library/tzdata/Asia/Omsk +++ b/library/tzdata/Asia/Omsk @@ -2,70 +2,70 @@ set TZData(:Asia/Omsk) { {-9223372036854775808 17610 0 LMT} - {-1582088010 18000 0 OMST} - {-1247547600 21600 0 OMSMMTT} - {354909600 25200 1 OMSST} - {370717200 21600 0 OMST} - {386445600 25200 1 OMSST} - {402253200 21600 0 OMST} - {417981600 25200 1 OMSST} - {433789200 21600 0 OMST} - {449604000 25200 1 OMSST} - {465336000 21600 0 OMST} - {481060800 25200 1 OMSST} - {496785600 21600 0 OMST} - {512510400 25200 1 OMSST} - {528235200 21600 0 OMST} - {543960000 25200 1 OMSST} - {559684800 21600 0 OMST} - {575409600 25200 1 OMSST} - {591134400 21600 0 OMST} - {606859200 25200 1 OMSST} - {622584000 21600 0 OMST} - {638308800 25200 1 OMSST} - {654638400 21600 0 OMST} - {670363200 18000 0 OMSMMTT} - {670366800 21600 1 OMSST} - {686091600 18000 0 OMST} - {695768400 21600 0 OMSMMTT} - {701812800 25200 1 OMSST} - {717537600 21600 0 OMST} - {733262400 25200 1 OMSST} - {748987200 21600 0 OMST} - {764712000 25200 1 OMSST} - {780436800 21600 0 OMST} - {796161600 25200 1 OMSST} - {811886400 21600 0 OMST} - {828216000 25200 1 OMSST} - {846360000 21600 0 OMST} - {859665600 25200 1 OMSST} - {877809600 21600 0 OMST} - {891115200 25200 1 OMSST} - {909259200 21600 0 OMST} - {922564800 25200 1 OMSST} - {941313600 21600 0 OMST} - {954014400 25200 1 OMSST} - {972763200 21600 0 OMST} - {985464000 25200 1 OMSST} - {1004212800 21600 0 OMST} - {1017518400 25200 1 OMSST} - {1035662400 21600 0 OMST} - {1048968000 25200 1 OMSST} - {1067112000 21600 0 OMST} - {1080417600 25200 1 OMSST} - {1099166400 21600 0 OMST} - {1111867200 25200 1 OMSST} - {1130616000 21600 0 OMST} - {1143316800 25200 1 OMSST} - {1162065600 21600 0 OMST} - {1174766400 25200 1 OMSST} - {1193515200 21600 0 OMST} - {1206820800 25200 1 OMSST} - {1224964800 21600 0 OMST} - {1238270400 25200 1 OMSST} - {1256414400 21600 0 OMST} - {1269720000 25200 1 OMSST} - {1288468800 21600 0 OMST} - {1301169600 25200 0 OMST} - {1414263600 21600 0 OMST} + {-1582088010 18000 0 +05} + {-1247547600 21600 0 +07} + {354909600 25200 1 +07} + {370717200 21600 0 +06} + {386445600 25200 1 +07} + {402253200 21600 0 +06} + {417981600 25200 1 +07} + {433789200 21600 0 +06} + {449604000 25200 1 +07} + {465336000 21600 0 +06} + {481060800 25200 1 +07} + {496785600 21600 0 +06} + {512510400 25200 1 +07} + {528235200 21600 0 +06} + {543960000 25200 1 +07} + {559684800 21600 0 +06} + {575409600 25200 1 +07} + {591134400 21600 0 +06} + {606859200 25200 1 +07} + {622584000 21600 0 +06} + {638308800 25200 1 +07} + {654638400 21600 0 +06} + {670363200 18000 0 +06} + {670366800 21600 1 +06} + {686091600 18000 0 +05} + {695768400 21600 0 +07} + {701812800 25200 1 +07} + {717537600 21600 0 +06} + {733262400 25200 1 +07} + {748987200 21600 0 +06} + {764712000 25200 1 +07} + {780436800 21600 0 +06} + {796161600 25200 1 +07} + {811886400 21600 0 +06} + {828216000 25200 1 +07} + {846360000 21600 0 +06} + {859665600 25200 1 +07} + {877809600 21600 0 +06} + {891115200 25200 1 +07} + {909259200 21600 0 +06} + {922564800 25200 1 +07} + {941313600 21600 0 +06} + {954014400 25200 1 +07} + {972763200 21600 0 +06} + {985464000 25200 1 +07} + {1004212800 21600 0 +06} + {1017518400 25200 1 +07} + {1035662400 21600 0 +06} + {1048968000 25200 1 +07} + {1067112000 21600 0 +06} + {1080417600 25200 1 +07} + {1099166400 21600 0 +06} + {1111867200 25200 1 +07} + {1130616000 21600 0 +06} + {1143316800 25200 1 +07} + {1162065600 21600 0 +06} + {1174766400 25200 1 +07} + {1193515200 21600 0 +06} + {1206820800 25200 1 +07} + {1224964800 21600 0 +06} + {1238270400 25200 1 +07} + {1256414400 21600 0 +06} + {1269720000 25200 1 +07} + {1288468800 21600 0 +06} + {1301169600 25200 0 +07} + {1414263600 21600 0 +06} } diff --git a/library/tzdata/Asia/Rangoon b/library/tzdata/Asia/Rangoon index 4f3ac02..8ea2748 100644 --- a/library/tzdata/Asia/Rangoon +++ b/library/tzdata/Asia/Rangoon @@ -1,9 +1,5 @@ # created by tools/tclZIC.tcl - do not edit - -set TZData(:Asia/Rangoon) { - {-9223372036854775808 23080 0 LMT} - {-2840163880 23080 0 RMT} - {-1577946280 23400 0 BURT} - {-873268200 32400 0 JST} - {-778410000 23400 0 MMT} +if {![info exists TZData(Asia/Yangon)]} { + LoadTimeZoneFile Asia/Yangon } +set TZData(:Asia/Rangoon) $TZData(:Asia/Yangon) diff --git a/library/tzdata/Asia/Sakhalin b/library/tzdata/Asia/Sakhalin index 1de22f4..4ba7c8c 100644 --- a/library/tzdata/Asia/Sakhalin +++ b/library/tzdata/Asia/Sakhalin @@ -2,73 +2,72 @@ set TZData(:Asia/Sakhalin) { {-9223372036854775808 34248 0 LMT} - {-2031039048 32400 0 JCST} - {-1017824400 32400 0 JST} - {-768560400 39600 0 SAKMMTT} - {354891600 43200 1 SAKST} - {370699200 39600 0 SAKT} - {386427600 43200 1 SAKST} - {402235200 39600 0 SAKT} - {417963600 43200 1 SAKST} - {433771200 39600 0 SAKT} - {449586000 43200 1 SAKST} - {465318000 39600 0 SAKT} - {481042800 43200 1 SAKST} - {496767600 39600 0 SAKT} - {512492400 43200 1 SAKST} - {528217200 39600 0 SAKT} - {543942000 43200 1 SAKST} - {559666800 39600 0 SAKT} - {575391600 43200 1 SAKST} - {591116400 39600 0 SAKT} - {606841200 43200 1 SAKST} - {622566000 39600 0 SAKT} - {638290800 43200 1 SAKST} - {654620400 39600 0 SAKT} - {670345200 36000 0 SAKMMTT} - {670348800 39600 1 SAKST} - {686073600 36000 0 SAKT} - {695750400 39600 0 SAKMMTT} - {701794800 43200 1 SAKST} - {717519600 39600 0 SAKT} - {733244400 43200 1 SAKST} - {748969200 39600 0 SAKT} - {764694000 43200 1 SAKST} - {780418800 39600 0 SAKT} - {796143600 43200 1 SAKST} - {811868400 39600 0 SAKT} - {828198000 43200 1 SAKST} - {846342000 39600 0 SAKT} - {859647600 36000 0 SAKMMTT} - {859651200 39600 1 SAKST} - {877795200 36000 0 SAKT} - {891100800 39600 1 SAKST} - {909244800 36000 0 SAKT} - {922550400 39600 1 SAKST} - {941299200 36000 0 SAKT} - {954000000 39600 1 SAKST} - {972748800 36000 0 SAKT} - {985449600 39600 1 SAKST} - {1004198400 36000 0 SAKT} - {1017504000 39600 1 SAKST} - {1035648000 36000 0 SAKT} - {1048953600 39600 1 SAKST} - {1067097600 36000 0 SAKT} - {1080403200 39600 1 SAKST} - {1099152000 36000 0 SAKT} - {1111852800 39600 1 SAKST} - {1130601600 36000 0 SAKT} - {1143302400 39600 1 SAKST} - {1162051200 36000 0 SAKT} - {1174752000 39600 1 SAKST} - {1193500800 36000 0 SAKT} - {1206806400 39600 1 SAKST} - {1224950400 36000 0 SAKT} - {1238256000 39600 1 SAKST} - {1256400000 36000 0 SAKT} - {1269705600 39600 1 SAKST} - {1288454400 36000 0 SAKT} - {1301155200 39600 0 SAKT} - {1414249200 36000 0 SAKT} - {1459008000 39600 0 SAKT} + {-2031039048 32400 0 +09} + {-768560400 39600 0 +12} + {354891600 43200 1 +12} + {370699200 39600 0 +11} + {386427600 43200 1 +12} + {402235200 39600 0 +11} + {417963600 43200 1 +12} + {433771200 39600 0 +11} + {449586000 43200 1 +12} + {465318000 39600 0 +11} + {481042800 43200 1 +12} + {496767600 39600 0 +11} + {512492400 43200 1 +12} + {528217200 39600 0 +11} + {543942000 43200 1 +12} + {559666800 39600 0 +11} + {575391600 43200 1 +12} + {591116400 39600 0 +11} + {606841200 43200 1 +12} + {622566000 39600 0 +11} + {638290800 43200 1 +12} + {654620400 39600 0 +11} + {670345200 36000 0 +11} + {670348800 39600 1 +11} + {686073600 36000 0 +10} + {695750400 39600 0 +12} + {701794800 43200 1 +12} + {717519600 39600 0 +11} + {733244400 43200 1 +12} + {748969200 39600 0 +11} + {764694000 43200 1 +12} + {780418800 39600 0 +11} + {796143600 43200 1 +12} + {811868400 39600 0 +11} + {828198000 43200 1 +12} + {846342000 39600 0 +11} + {859647600 36000 0 +11} + {859651200 39600 1 +11} + {877795200 36000 0 +10} + {891100800 39600 1 +11} + {909244800 36000 0 +10} + {922550400 39600 1 +11} + {941299200 36000 0 +10} + {954000000 39600 1 +11} + {972748800 36000 0 +10} + {985449600 39600 1 +11} + {1004198400 36000 0 +10} + {1017504000 39600 1 +11} + {1035648000 36000 0 +10} + {1048953600 39600 1 +11} + {1067097600 36000 0 +10} + {1080403200 39600 1 +11} + {1099152000 36000 0 +10} + {1111852800 39600 1 +11} + {1130601600 36000 0 +10} + {1143302400 39600 1 +11} + {1162051200 36000 0 +10} + {1174752000 39600 1 +11} + {1193500800 36000 0 +10} + {1206806400 39600 1 +11} + {1224950400 36000 0 +10} + {1238256000 39600 1 +11} + {1256400000 36000 0 +10} + {1269705600 39600 1 +11} + {1288454400 36000 0 +10} + {1301155200 39600 0 +11} + {1414249200 36000 0 +10} + {1459008000 39600 0 +11} } diff --git a/library/tzdata/Asia/Samarkand b/library/tzdata/Asia/Samarkand index 4b3b49f..43ad774 100644 --- a/library/tzdata/Asia/Samarkand +++ b/library/tzdata/Asia/Samarkand @@ -2,31 +2,30 @@ set TZData(:Asia/Samarkand) { {-9223372036854775808 16073 0 LMT} - {-1441168073 14400 0 SAMT} - {-1247544000 18000 0 SAMT} - {354913200 21600 1 SAMST} - {370720800 21600 0 TAST} - {386445600 18000 0 SAMT} - {386449200 21600 1 SAMST} - {402256800 18000 0 SAMT} - {417985200 21600 1 SAMST} - {433792800 18000 0 SAMT} - {449607600 21600 1 SAMST} - {465339600 18000 0 SAMT} - {481064400 21600 1 SAMST} - {496789200 18000 0 SAMT} - {512514000 21600 1 SAMST} - {528238800 18000 0 SAMT} - {543963600 21600 1 SAMST} - {559688400 18000 0 SAMT} - {575413200 21600 1 SAMST} - {591138000 18000 0 SAMT} - {606862800 21600 1 SAMST} - {622587600 18000 0 SAMT} - {638312400 21600 1 SAMST} - {654642000 18000 0 SAMT} - {670366800 21600 1 SAMST} - {683665200 21600 0 UZST} - {686091600 18000 0 UZT} - {694206000 18000 0 UZT} + {-1441168073 14400 0 +04} + {-1247544000 18000 0 +05} + {354913200 21600 1 +06} + {370720800 21600 0 +06} + {386445600 18000 0 +05} + {386449200 21600 1 +06} + {402256800 18000 0 +05} + {417985200 21600 1 +06} + {433792800 18000 0 +05} + {449607600 21600 1 +06} + {465339600 18000 0 +05} + {481064400 21600 1 +06} + {496789200 18000 0 +05} + {512514000 21600 1 +06} + {528238800 18000 0 +05} + {543963600 21600 1 +06} + {559688400 18000 0 +05} + {575413200 21600 1 +06} + {591138000 18000 0 +05} + {606862800 21600 1 +06} + {622587600 18000 0 +05} + {638312400 21600 1 +06} + {654642000 18000 0 +05} + {670366800 21600 1 +06} + {686091600 18000 0 +05} + {694206000 18000 0 +05} } diff --git a/library/tzdata/Asia/Srednekolymsk b/library/tzdata/Asia/Srednekolymsk index a0586aa..1099a4b 100644 --- a/library/tzdata/Asia/Srednekolymsk +++ b/library/tzdata/Asia/Srednekolymsk @@ -2,70 +2,70 @@ set TZData(:Asia/Srednekolymsk) { {-9223372036854775808 36892 0 LMT} - {-1441188892 36000 0 MAGT} - {-1247565600 39600 0 MAGMMTT} - {354891600 43200 1 MAGST} - {370699200 39600 0 MAGT} - {386427600 43200 1 MAGST} - {402235200 39600 0 MAGT} - {417963600 43200 1 MAGST} - {433771200 39600 0 MAGT} - {449586000 43200 1 MAGST} - {465318000 39600 0 MAGT} - {481042800 43200 1 MAGST} - {496767600 39600 0 MAGT} - {512492400 43200 1 MAGST} - {528217200 39600 0 MAGT} - {543942000 43200 1 MAGST} - {559666800 39600 0 MAGT} - {575391600 43200 1 MAGST} - {591116400 39600 0 MAGT} - {606841200 43200 1 MAGST} - {622566000 39600 0 MAGT} - {638290800 43200 1 MAGST} - {654620400 39600 0 MAGT} - {670345200 36000 0 MAGMMTT} - {670348800 39600 1 MAGST} - {686073600 36000 0 MAGT} - {695750400 39600 0 MAGMMTT} - {701794800 43200 1 MAGST} - {717519600 39600 0 MAGT} - {733244400 43200 1 MAGST} - {748969200 39600 0 MAGT} - {764694000 43200 1 MAGST} - {780418800 39600 0 MAGT} - {796143600 43200 1 MAGST} - {811868400 39600 0 MAGT} - {828198000 43200 1 MAGST} - {846342000 39600 0 MAGT} - {859647600 43200 1 MAGST} - {877791600 39600 0 MAGT} - {891097200 43200 1 MAGST} - {909241200 39600 0 MAGT} - {922546800 43200 1 MAGST} - {941295600 39600 0 MAGT} - {953996400 43200 1 MAGST} - {972745200 39600 0 MAGT} - {985446000 43200 1 MAGST} - {1004194800 39600 0 MAGT} - {1017500400 43200 1 MAGST} - {1035644400 39600 0 MAGT} - {1048950000 43200 1 MAGST} - {1067094000 39600 0 MAGT} - {1080399600 43200 1 MAGST} - {1099148400 39600 0 MAGT} - {1111849200 43200 1 MAGST} - {1130598000 39600 0 MAGT} - {1143298800 43200 1 MAGST} - {1162047600 39600 0 MAGT} - {1174748400 43200 1 MAGST} - {1193497200 39600 0 MAGT} - {1206802800 43200 1 MAGST} - {1224946800 39600 0 MAGT} - {1238252400 43200 1 MAGST} - {1256396400 39600 0 MAGT} - {1269702000 43200 1 MAGST} - {1288450800 39600 0 MAGT} - {1301151600 43200 0 MAGT} - {1414245600 39600 0 SRET} + {-1441188892 36000 0 +10} + {-1247565600 39600 0 +12} + {354891600 43200 1 +12} + {370699200 39600 0 +11} + {386427600 43200 1 +12} + {402235200 39600 0 +11} + {417963600 43200 1 +12} + {433771200 39600 0 +11} + {449586000 43200 1 +12} + {465318000 39600 0 +11} + {481042800 43200 1 +12} + {496767600 39600 0 +11} + {512492400 43200 1 +12} + {528217200 39600 0 +11} + {543942000 43200 1 +12} + {559666800 39600 0 +11} + {575391600 43200 1 +12} + {591116400 39600 0 +11} + {606841200 43200 1 +12} + {622566000 39600 0 +11} + {638290800 43200 1 +12} + {654620400 39600 0 +11} + {670345200 36000 0 +11} + {670348800 39600 1 +11} + {686073600 36000 0 +10} + {695750400 39600 0 +12} + {701794800 43200 1 +12} + {717519600 39600 0 +11} + {733244400 43200 1 +12} + {748969200 39600 0 +11} + {764694000 43200 1 +12} + {780418800 39600 0 +11} + {796143600 43200 1 +12} + {811868400 39600 0 +11} + {828198000 43200 1 +12} + {846342000 39600 0 +11} + {859647600 43200 1 +12} + {877791600 39600 0 +11} + {891097200 43200 1 +12} + {909241200 39600 0 +11} + {922546800 43200 1 +12} + {941295600 39600 0 +11} + {953996400 43200 1 +12} + {972745200 39600 0 +11} + {985446000 43200 1 +12} + {1004194800 39600 0 +11} + {1017500400 43200 1 +12} + {1035644400 39600 0 +11} + {1048950000 43200 1 +12} + {1067094000 39600 0 +11} + {1080399600 43200 1 +12} + {1099148400 39600 0 +11} + {1111849200 43200 1 +12} + {1130598000 39600 0 +11} + {1143298800 43200 1 +12} + {1162047600 39600 0 +11} + {1174748400 43200 1 +12} + {1193497200 39600 0 +11} + {1206802800 43200 1 +12} + {1224946800 39600 0 +11} + {1238252400 43200 1 +12} + {1256396400 39600 0 +11} + {1269702000 43200 1 +12} + {1288450800 39600 0 +11} + {1301151600 43200 0 +12} + {1414245600 39600 0 +11} } diff --git a/library/tzdata/Asia/Tashkent b/library/tzdata/Asia/Tashkent index 1477376..7b6abe4 100644 --- a/library/tzdata/Asia/Tashkent +++ b/library/tzdata/Asia/Tashkent @@ -2,31 +2,30 @@ set TZData(:Asia/Tashkent) { {-9223372036854775808 16631 0 LMT} - {-1441168631 18000 0 TAST} - {-1247547600 21600 0 TAST} - {354909600 25200 1 TASST} - {370717200 21600 0 TAST} - {386445600 25200 1 TASST} - {402253200 21600 0 TAST} - {417981600 25200 1 TASST} - {433789200 21600 0 TAST} - {449604000 25200 1 TASST} - {465336000 21600 0 TAST} - {481060800 25200 1 TASST} - {496785600 21600 0 TAST} - {512510400 25200 1 TASST} - {528235200 21600 0 TAST} - {543960000 25200 1 TASST} - {559684800 21600 0 TAST} - {575409600 25200 1 TASST} - {591134400 21600 0 TAST} - {606859200 25200 1 TASST} - {622584000 21600 0 TAST} - {638308800 25200 1 TASST} - {654638400 21600 0 TAST} - {670363200 18000 0 TAST} - {670366800 21600 1 TASST} - {683665200 21600 0 UZST} - {686091600 18000 0 UZT} - {694206000 18000 0 UZT} + {-1441168631 18000 0 +05} + {-1247547600 21600 0 +06} + {354909600 25200 1 +07} + {370717200 21600 0 +06} + {386445600 25200 1 +07} + {402253200 21600 0 +06} + {417981600 25200 1 +07} + {433789200 21600 0 +06} + {449604000 25200 1 +07} + {465336000 21600 0 +06} + {481060800 25200 1 +07} + {496785600 21600 0 +06} + {512510400 25200 1 +07} + {528235200 21600 0 +06} + {543960000 25200 1 +07} + {559684800 21600 0 +06} + {575409600 25200 1 +07} + {591134400 21600 0 +06} + {606859200 25200 1 +07} + {622584000 21600 0 +06} + {638308800 25200 1 +07} + {654638400 21600 0 +06} + {670363200 18000 0 +05} + {670366800 21600 1 +06} + {686091600 18000 0 +05} + {694206000 18000 0 +05} } diff --git a/library/tzdata/Asia/Tbilisi b/library/tzdata/Asia/Tbilisi index 54b278a..60d253c 100644 --- a/library/tzdata/Asia/Tbilisi +++ b/library/tzdata/Asia/Tbilisi @@ -3,58 +3,58 @@ set TZData(:Asia/Tbilisi) { {-9223372036854775808 10751 0 LMT} {-2840151551 10751 0 TBMT} - {-1441162751 10800 0 TBIT} - {-405140400 14400 0 TBIT} - {354916800 18000 1 TBIST} - {370724400 14400 0 TBIT} - {386452800 18000 1 TBIST} - {402260400 14400 0 TBIT} - {417988800 18000 1 TBIST} - {433796400 14400 0 TBIT} - {449611200 18000 1 TBIST} - {465343200 14400 0 TBIT} - {481068000 18000 1 TBIST} - {496792800 14400 0 TBIT} - {512517600 18000 1 TBIST} - {528242400 14400 0 TBIT} - {543967200 18000 1 TBIST} - {559692000 14400 0 TBIT} - {575416800 18000 1 TBIST} - {591141600 14400 0 TBIT} - {606866400 18000 1 TBIST} - {622591200 14400 0 TBIT} - {638316000 18000 1 TBIST} - {654645600 14400 0 TBIT} - {670370400 14400 1 TBIST} - {671140800 14400 0 GEST} - {686098800 10800 0 GET} - {694213200 10800 0 GET} - {701816400 14400 1 GEST} - {717537600 10800 0 GET} - {733266000 14400 1 GEST} - {748987200 10800 0 GET} - {764715600 14400 1 GEST} - {780440400 14400 0 GET} - {796161600 18000 1 GEST} - {811882800 14400 0 GET} - {828216000 18000 1 GEST} - {846360000 18000 1 GEST} - {859662000 18000 0 GEST} - {877806000 14400 0 GET} - {891115200 18000 1 GEST} - {909255600 14400 0 GET} - {922564800 18000 1 GEST} - {941310000 14400 0 GET} - {954014400 18000 1 GEST} - {972759600 14400 0 GET} - {985464000 18000 1 GEST} - {1004209200 14400 0 GET} - {1017518400 18000 1 GEST} - {1035658800 14400 0 GET} - {1048968000 18000 1 GEST} - {1067108400 14400 0 GET} - {1080417600 18000 1 GEST} - {1088280000 14400 0 GEST} - {1099177200 10800 0 GET} - {1111878000 14400 0 GET} + {-1441162751 10800 0 +03} + {-405140400 14400 0 +04} + {354916800 18000 1 +05} + {370724400 14400 0 +04} + {386452800 18000 1 +05} + {402260400 14400 0 +04} + {417988800 18000 1 +05} + {433796400 14400 0 +04} + {449611200 18000 1 +05} + {465343200 14400 0 +04} + {481068000 18000 1 +05} + {496792800 14400 0 +04} + {512517600 18000 1 +05} + {528242400 14400 0 +04} + {543967200 18000 1 +05} + {559692000 14400 0 +04} + {575416800 18000 1 +05} + {591141600 14400 0 +04} + {606866400 18000 1 +05} + {622591200 14400 0 +04} + {638316000 18000 1 +05} + {654645600 14400 0 +04} + {670370400 10800 0 +03} + {670374000 14400 1 +04} + {686098800 10800 0 +03} + {694213200 10800 0 +03} + {701816400 14400 1 +04} + {717537600 10800 0 +03} + {733266000 14400 1 +04} + {748987200 10800 0 +03} + {764715600 14400 1 +04} + {780440400 14400 0 +04} + {796161600 18000 1 +05} + {811882800 14400 0 +04} + {828216000 18000 1 +05} + {846360000 18000 1 +05} + {859662000 18000 0 +05} + {877806000 14400 0 +04} + {891115200 18000 1 +05} + {909255600 14400 0 +04} + {922564800 18000 1 +05} + {941310000 14400 0 +04} + {954014400 18000 1 +05} + {972759600 14400 0 +04} + {985464000 18000 1 +05} + {1004209200 14400 0 +04} + {1017518400 18000 1 +05} + {1035658800 14400 0 +04} + {1048968000 18000 1 +05} + {1067108400 14400 0 +04} + {1080417600 18000 1 +05} + {1088280000 14400 0 +04} + {1099177200 10800 0 +03} + {1111878000 14400 0 +04} } diff --git a/library/tzdata/Asia/Ust-Nera b/library/tzdata/Asia/Ust-Nera index 3380b7b..021fa62 100644 --- a/library/tzdata/Asia/Ust-Nera +++ b/library/tzdata/Asia/Ust-Nera @@ -2,70 +2,70 @@ set TZData(:Asia/Ust-Nera) { {-9223372036854775808 34374 0 LMT} - {-1579426374 28800 0 YAKT} - {354898800 43200 0 MAGST} - {370699200 39600 0 MAGT} - {386427600 43200 1 MAGST} - {402235200 39600 0 MAGT} - {417963600 43200 1 MAGST} - {433771200 39600 0 MAGT} - {449586000 43200 1 MAGST} - {465318000 39600 0 MAGT} - {481042800 43200 1 MAGST} - {496767600 39600 0 MAGT} - {512492400 43200 1 MAGST} - {528217200 39600 0 MAGT} - {543942000 43200 1 MAGST} - {559666800 39600 0 MAGT} - {575391600 43200 1 MAGST} - {591116400 39600 0 MAGT} - {606841200 43200 1 MAGST} - {622566000 39600 0 MAGT} - {638290800 43200 1 MAGST} - {654620400 39600 0 MAGT} - {670345200 36000 0 MAGMMTT} - {670348800 39600 1 MAGST} - {686073600 36000 0 MAGT} - {695750400 39600 0 MAGMMTT} - {701794800 43200 1 MAGST} - {717519600 39600 0 MAGT} - {733244400 43200 1 MAGST} - {748969200 39600 0 MAGT} - {764694000 43200 1 MAGST} - {780418800 39600 0 MAGT} - {796143600 43200 1 MAGST} - {811868400 39600 0 MAGT} - {828198000 43200 1 MAGST} - {846342000 39600 0 MAGT} - {859647600 43200 1 MAGST} - {877791600 39600 0 MAGT} - {891097200 43200 1 MAGST} - {909241200 39600 0 MAGT} - {922546800 43200 1 MAGST} - {941295600 39600 0 MAGT} - {953996400 43200 1 MAGST} - {972745200 39600 0 MAGT} - {985446000 43200 1 MAGST} - {1004194800 39600 0 MAGT} - {1017500400 43200 1 MAGST} - {1035644400 39600 0 MAGT} - {1048950000 43200 1 MAGST} - {1067094000 39600 0 MAGT} - {1080399600 43200 1 MAGST} - {1099148400 39600 0 MAGT} - {1111849200 43200 1 MAGST} - {1130598000 39600 0 MAGT} - {1143298800 43200 1 MAGST} - {1162047600 39600 0 MAGT} - {1174748400 43200 1 MAGST} - {1193497200 39600 0 MAGT} - {1206802800 43200 1 MAGST} - {1224946800 39600 0 MAGT} - {1238252400 43200 1 MAGST} - {1256396400 39600 0 MAGT} - {1269702000 43200 1 MAGST} - {1288450800 39600 0 MAGT} - {1301151600 43200 0 MAGT} - {1315828800 39600 0 VLAT} - {1414249200 36000 0 VLAT} + {-1579426374 28800 0 +08} + {354898800 43200 0 +12} + {370699200 39600 0 +11} + {386427600 43200 1 +12} + {402235200 39600 0 +11} + {417963600 43200 1 +12} + {433771200 39600 0 +11} + {449586000 43200 1 +12} + {465318000 39600 0 +11} + {481042800 43200 1 +12} + {496767600 39600 0 +11} + {512492400 43200 1 +12} + {528217200 39600 0 +11} + {543942000 43200 1 +12} + {559666800 39600 0 +11} + {575391600 43200 1 +12} + {591116400 39600 0 +11} + {606841200 43200 1 +12} + {622566000 39600 0 +11} + {638290800 43200 1 +12} + {654620400 39600 0 +11} + {670345200 36000 0 +11} + {670348800 39600 1 +11} + {686073600 36000 0 +10} + {695750400 39600 0 +12} + {701794800 43200 1 +12} + {717519600 39600 0 +11} + {733244400 43200 1 +12} + {748969200 39600 0 +11} + {764694000 43200 1 +12} + {780418800 39600 0 +11} + {796143600 43200 1 +12} + {811868400 39600 0 +11} + {828198000 43200 1 +12} + {846342000 39600 0 +11} + {859647600 43200 1 +12} + {877791600 39600 0 +11} + {891097200 43200 1 +12} + {909241200 39600 0 +11} + {922546800 43200 1 +12} + {941295600 39600 0 +11} + {953996400 43200 1 +12} + {972745200 39600 0 +11} + {985446000 43200 1 +12} + {1004194800 39600 0 +11} + {1017500400 43200 1 +12} + {1035644400 39600 0 +11} + {1048950000 43200 1 +12} + {1067094000 39600 0 +11} + {1080399600 43200 1 +12} + {1099148400 39600 0 +11} + {1111849200 43200 1 +12} + {1130598000 39600 0 +11} + {1143298800 43200 1 +12} + {1162047600 39600 0 +11} + {1174748400 43200 1 +12} + {1193497200 39600 0 +11} + {1206802800 43200 1 +12} + {1224946800 39600 0 +11} + {1238252400 43200 1 +12} + {1256396400 39600 0 +11} + {1269702000 43200 1 +12} + {1288450800 39600 0 +11} + {1301151600 43200 0 +12} + {1315828800 39600 0 +11} + {1414249200 36000 0 +10} } diff --git a/library/tzdata/Asia/Vladivostok b/library/tzdata/Asia/Vladivostok index b279d1c..e8f651c 100644 --- a/library/tzdata/Asia/Vladivostok +++ b/library/tzdata/Asia/Vladivostok @@ -2,70 +2,70 @@ set TZData(:Asia/Vladivostok) { {-9223372036854775808 31651 0 LMT} - {-1487321251 32400 0 VLAT} - {-1247562000 36000 0 VLAMMTT} - {354895200 39600 1 VLAST} - {370702800 36000 0 VLAT} - {386431200 39600 1 VLAST} - {402238800 36000 0 VLAT} - {417967200 39600 1 VLAST} - {433774800 36000 0 VLAT} - {449589600 39600 1 VLAST} - {465321600 36000 0 VLAT} - {481046400 39600 1 VLAST} - {496771200 36000 0 VLAT} - {512496000 39600 1 VLAST} - {528220800 36000 0 VLAT} - {543945600 39600 1 VLAST} - {559670400 36000 0 VLAT} - {575395200 39600 1 VLAST} - {591120000 36000 0 VLAT} - {606844800 39600 1 VLAST} - {622569600 36000 0 VLAT} - {638294400 39600 1 VLAST} - {654624000 36000 0 VLAT} - {670348800 32400 0 VLAMMTT} - {670352400 36000 1 VLAST} - {686077200 32400 0 VLAT} - {695754000 36000 0 VLAMMTT} - {701798400 39600 1 VLAST} - {717523200 36000 0 VLAT} - {733248000 39600 1 VLAST} - {748972800 36000 0 VLAT} - {764697600 39600 1 VLAST} - {780422400 36000 0 VLAT} - {796147200 39600 1 VLAST} - {811872000 36000 0 VLAT} - {828201600 39600 1 VLAST} - {846345600 36000 0 VLAT} - {859651200 39600 1 VLAST} - {877795200 36000 0 VLAT} - {891100800 39600 1 VLAST} - {909244800 36000 0 VLAT} - {922550400 39600 1 VLAST} - {941299200 36000 0 VLAT} - {954000000 39600 1 VLAST} - {972748800 36000 0 VLAT} - {985449600 39600 1 VLAST} - {1004198400 36000 0 VLAT} - {1017504000 39600 1 VLAST} - {1035648000 36000 0 VLAT} - {1048953600 39600 1 VLAST} - {1067097600 36000 0 VLAT} - {1080403200 39600 1 VLAST} - {1099152000 36000 0 VLAT} - {1111852800 39600 1 VLAST} - {1130601600 36000 0 VLAT} - {1143302400 39600 1 VLAST} - {1162051200 36000 0 VLAT} - {1174752000 39600 1 VLAST} - {1193500800 36000 0 VLAT} - {1206806400 39600 1 VLAST} - {1224950400 36000 0 VLAT} - {1238256000 39600 1 VLAST} - {1256400000 36000 0 VLAT} - {1269705600 39600 1 VLAST} - {1288454400 36000 0 VLAT} - {1301155200 39600 0 VLAT} - {1414249200 36000 0 VLAT} + {-1487321251 32400 0 +09} + {-1247562000 36000 0 +11} + {354895200 39600 1 +11} + {370702800 36000 0 +10} + {386431200 39600 1 +11} + {402238800 36000 0 +10} + {417967200 39600 1 +11} + {433774800 36000 0 +10} + {449589600 39600 1 +11} + {465321600 36000 0 +10} + {481046400 39600 1 +11} + {496771200 36000 0 +10} + {512496000 39600 1 +11} + {528220800 36000 0 +10} + {543945600 39600 1 +11} + {559670400 36000 0 +10} + {575395200 39600 1 +11} + {591120000 36000 0 +10} + {606844800 39600 1 +11} + {622569600 36000 0 +10} + {638294400 39600 1 +11} + {654624000 36000 0 +10} + {670348800 32400 0 +10} + {670352400 36000 1 +10} + {686077200 32400 0 +09} + {695754000 36000 0 +11} + {701798400 39600 1 +11} + {717523200 36000 0 +10} + {733248000 39600 1 +11} + {748972800 36000 0 +10} + {764697600 39600 1 +11} + {780422400 36000 0 +10} + {796147200 39600 1 +11} + {811872000 36000 0 +10} + {828201600 39600 1 +11} + {846345600 36000 0 +10} + {859651200 39600 1 +11} + {877795200 36000 0 +10} + {891100800 39600 1 +11} + {909244800 36000 0 +10} + {922550400 39600 1 +11} + {941299200 36000 0 +10} + {954000000 39600 1 +11} + {972748800 36000 0 +10} + {985449600 39600 1 +11} + {1004198400 36000 0 +10} + {1017504000 39600 1 +11} + {1035648000 36000 0 +10} + {1048953600 39600 1 +11} + {1067097600 36000 0 +10} + {1080403200 39600 1 +11} + {1099152000 36000 0 +10} + {1111852800 39600 1 +11} + {1130601600 36000 0 +10} + {1143302400 39600 1 +11} + {1162051200 36000 0 +10} + {1174752000 39600 1 +11} + {1193500800 36000 0 +10} + {1206806400 39600 1 +11} + {1224950400 36000 0 +10} + {1238256000 39600 1 +11} + {1256400000 36000 0 +10} + {1269705600 39600 1 +11} + {1288454400 36000 0 +10} + {1301155200 39600 0 +11} + {1414249200 36000 0 +10} } diff --git a/library/tzdata/Asia/Yakutsk b/library/tzdata/Asia/Yakutsk index 0074379..8ee153a 100644 --- a/library/tzdata/Asia/Yakutsk +++ b/library/tzdata/Asia/Yakutsk @@ -2,70 +2,70 @@ set TZData(:Asia/Yakutsk) { {-9223372036854775808 31138 0 LMT} - {-1579423138 28800 0 YAKT} - {-1247558400 32400 0 YAKMMTT} - {354898800 36000 1 YAKST} - {370706400 32400 0 YAKT} - {386434800 36000 1 YAKST} - {402242400 32400 0 YAKT} - {417970800 36000 1 YAKST} - {433778400 32400 0 YAKT} - {449593200 36000 1 YAKST} - {465325200 32400 0 YAKT} - {481050000 36000 1 YAKST} - {496774800 32400 0 YAKT} - {512499600 36000 1 YAKST} - {528224400 32400 0 YAKT} - {543949200 36000 1 YAKST} - {559674000 32400 0 YAKT} - {575398800 36000 1 YAKST} - {591123600 32400 0 YAKT} - {606848400 36000 1 YAKST} - {622573200 32400 0 YAKT} - {638298000 36000 1 YAKST} - {654627600 32400 0 YAKT} - {670352400 28800 0 YAKMMTT} - {670356000 32400 1 YAKST} - {686080800 28800 0 YAKT} - {695757600 32400 0 YAKMMTT} - {701802000 36000 1 YAKST} - {717526800 32400 0 YAKT} - {733251600 36000 1 YAKST} - {748976400 32400 0 YAKT} - {764701200 36000 1 YAKST} - {780426000 32400 0 YAKT} - {796150800 36000 1 YAKST} - {811875600 32400 0 YAKT} - {828205200 36000 1 YAKST} - {846349200 32400 0 YAKT} - {859654800 36000 1 YAKST} - {877798800 32400 0 YAKT} - {891104400 36000 1 YAKST} - {909248400 32400 0 YAKT} - {922554000 36000 1 YAKST} - {941302800 32400 0 YAKT} - {954003600 36000 1 YAKST} - {972752400 32400 0 YAKT} - {985453200 36000 1 YAKST} - {1004202000 32400 0 YAKT} - {1017507600 36000 1 YAKST} - {1035651600 32400 0 YAKT} - {1048957200 36000 1 YAKST} - {1067101200 32400 0 YAKT} - {1080406800 36000 1 YAKST} - {1099155600 32400 0 YAKT} - {1111856400 36000 1 YAKST} - {1130605200 32400 0 YAKT} - {1143306000 36000 1 YAKST} - {1162054800 32400 0 YAKT} - {1174755600 36000 1 YAKST} - {1193504400 32400 0 YAKT} - {1206810000 36000 1 YAKST} - {1224954000 32400 0 YAKT} - {1238259600 36000 1 YAKST} - {1256403600 32400 0 YAKT} - {1269709200 36000 1 YAKST} - {1288458000 32400 0 YAKT} - {1301158800 36000 0 YAKT} - {1414252800 32400 0 YAKT} + {-1579423138 28800 0 +08} + {-1247558400 32400 0 +10} + {354898800 36000 1 +10} + {370706400 32400 0 +09} + {386434800 36000 1 +10} + {402242400 32400 0 +09} + {417970800 36000 1 +10} + {433778400 32400 0 +09} + {449593200 36000 1 +10} + {465325200 32400 0 +09} + {481050000 36000 1 +10} + {496774800 32400 0 +09} + {512499600 36000 1 +10} + {528224400 32400 0 +09} + {543949200 36000 1 +10} + {559674000 32400 0 +09} + {575398800 36000 1 +10} + {591123600 32400 0 +09} + {606848400 36000 1 +10} + {622573200 32400 0 +09} + {638298000 36000 1 +10} + {654627600 32400 0 +09} + {670352400 28800 0 +09} + {670356000 32400 1 +09} + {686080800 28800 0 +08} + {695757600 32400 0 +10} + {701802000 36000 1 +10} + {717526800 32400 0 +09} + {733251600 36000 1 +10} + {748976400 32400 0 +09} + {764701200 36000 1 +10} + {780426000 32400 0 +09} + {796150800 36000 1 +10} + {811875600 32400 0 +09} + {828205200 36000 1 +10} + {846349200 32400 0 +09} + {859654800 36000 1 +10} + {877798800 32400 0 +09} + {891104400 36000 1 +10} + {909248400 32400 0 +09} + {922554000 36000 1 +10} + {941302800 32400 0 +09} + {954003600 36000 1 +10} + {972752400 32400 0 +09} + {985453200 36000 1 +10} + {1004202000 32400 0 +09} + {1017507600 36000 1 +10} + {1035651600 32400 0 +09} + {1048957200 36000 1 +10} + {1067101200 32400 0 +09} + {1080406800 36000 1 +10} + {1099155600 32400 0 +09} + {1111856400 36000 1 +10} + {1130605200 32400 0 +09} + {1143306000 36000 1 +10} + {1162054800 32400 0 +09} + {1174755600 36000 1 +10} + {1193504400 32400 0 +09} + {1206810000 36000 1 +10} + {1224954000 32400 0 +09} + {1238259600 36000 1 +10} + {1256403600 32400 0 +09} + {1269709200 36000 1 +10} + {1288458000 32400 0 +09} + {1301158800 36000 0 +10} + {1414252800 32400 0 +09} } diff --git a/library/tzdata/Asia/Yangon b/library/tzdata/Asia/Yangon new file mode 100644 index 0000000..40cfa02 --- /dev/null +++ b/library/tzdata/Asia/Yangon @@ -0,0 +1,9 @@ +# created by tools/tclZIC.tcl - do not edit + +set TZData(:Asia/Yangon) { + {-9223372036854775808 23080 0 LMT} + {-2840163880 23080 0 RMT} + {-1577946280 23400 0 BURT} + {-873268200 32400 0 JST} + {-778410000 23400 0 MMT} +} diff --git a/library/tzdata/Asia/Yekaterinburg b/library/tzdata/Asia/Yekaterinburg index fdd89b0..d2133b1 100644 --- a/library/tzdata/Asia/Yekaterinburg +++ b/library/tzdata/Asia/Yekaterinburg @@ -3,70 +3,70 @@ set TZData(:Asia/Yekaterinburg) { {-9223372036854775808 14553 0 LMT} {-1688270553 13505 0 PMT} - {-1592610305 14400 0 SVET} - {-1247544000 18000 0 SVEMMTT} - {354913200 21600 1 SVEST} - {370720800 18000 0 SVET} - {386449200 21600 1 SVEST} - {402256800 18000 0 SVET} - {417985200 21600 1 SVEST} - {433792800 18000 0 SVET} - {449607600 21600 1 SVEST} - {465339600 18000 0 SVET} - {481064400 21600 1 SVEST} - {496789200 18000 0 SVET} - {512514000 21600 1 SVEST} - {528238800 18000 0 SVET} - {543963600 21600 1 SVEST} - {559688400 18000 0 SVET} - {575413200 21600 1 SVEST} - {591138000 18000 0 SVET} - {606862800 21600 1 SVEST} - {622587600 18000 0 SVET} - {638312400 21600 1 SVEST} - {654642000 18000 0 SVET} - {670366800 14400 0 SVEMMTT} - {670370400 18000 1 SVEST} - {686095200 14400 0 SVET} - {695772000 18000 0 YEKMMTT} - {701816400 21600 1 YEKST} - {717541200 18000 0 YEKT} - {733266000 21600 1 YEKST} - {748990800 18000 0 YEKT} - {764715600 21600 1 YEKST} - {780440400 18000 0 YEKT} - {796165200 21600 1 YEKST} - {811890000 18000 0 YEKT} - {828219600 21600 1 YEKST} - {846363600 18000 0 YEKT} - {859669200 21600 1 YEKST} - {877813200 18000 0 YEKT} - {891118800 21600 1 YEKST} - {909262800 18000 0 YEKT} - {922568400 21600 1 YEKST} - {941317200 18000 0 YEKT} - {954018000 21600 1 YEKST} - {972766800 18000 0 YEKT} - {985467600 21600 1 YEKST} - {1004216400 18000 0 YEKT} - {1017522000 21600 1 YEKST} - {1035666000 18000 0 YEKT} - {1048971600 21600 1 YEKST} - {1067115600 18000 0 YEKT} - {1080421200 21600 1 YEKST} - {1099170000 18000 0 YEKT} - {1111870800 21600 1 YEKST} - {1130619600 18000 0 YEKT} - {1143320400 21600 1 YEKST} - {1162069200 18000 0 YEKT} - {1174770000 21600 1 YEKST} - {1193518800 18000 0 YEKT} - {1206824400 21600 1 YEKST} - {1224968400 18000 0 YEKT} - {1238274000 21600 1 YEKST} - {1256418000 18000 0 YEKT} - {1269723600 21600 1 YEKST} - {1288472400 18000 0 YEKT} - {1301173200 21600 0 YEKT} - {1414267200 18000 0 YEKT} + {-1592610305 14400 0 +04} + {-1247544000 18000 0 +06} + {354913200 21600 1 +06} + {370720800 18000 0 +05} + {386449200 21600 1 +06} + {402256800 18000 0 +05} + {417985200 21600 1 +06} + {433792800 18000 0 +05} + {449607600 21600 1 +06} + {465339600 18000 0 +05} + {481064400 21600 1 +06} + {496789200 18000 0 +05} + {512514000 21600 1 +06} + {528238800 18000 0 +05} + {543963600 21600 1 +06} + {559688400 18000 0 +05} + {575413200 21600 1 +06} + {591138000 18000 0 +05} + {606862800 21600 1 +06} + {622587600 18000 0 +05} + {638312400 21600 1 +06} + {654642000 18000 0 +05} + {670366800 14400 0 +05} + {670370400 18000 1 +05} + {686095200 14400 0 +04} + {695772000 18000 0 +06} + {701816400 21600 1 +06} + {717541200 18000 0 +05} + {733266000 21600 1 +06} + {748990800 18000 0 +05} + {764715600 21600 1 +06} + {780440400 18000 0 +05} + {796165200 21600 1 +06} + {811890000 18000 0 +05} + {828219600 21600 1 +06} + {846363600 18000 0 +05} + {859669200 21600 1 +06} + {877813200 18000 0 +05} + {891118800 21600 1 +06} + {909262800 18000 0 +05} + {922568400 21600 1 +06} + {941317200 18000 0 +05} + {954018000 21600 1 +06} + {972766800 18000 0 +05} + {985467600 21600 1 +06} + {1004216400 18000 0 +05} + {1017522000 21600 1 +06} + {1035666000 18000 0 +05} + {1048971600 21600 1 +06} + {1067115600 18000 0 +05} + {1080421200 21600 1 +06} + {1099170000 18000 0 +05} + {1111870800 21600 1 +06} + {1130619600 18000 0 +05} + {1143320400 21600 1 +06} + {1162069200 18000 0 +05} + {1174770000 21600 1 +06} + {1193518800 18000 0 +05} + {1206824400 21600 1 +06} + {1224968400 18000 0 +05} + {1238274000 21600 1 +06} + {1256418000 18000 0 +05} + {1269723600 21600 1 +06} + {1288472400 18000 0 +05} + {1301173200 21600 0 +06} + {1414267200 18000 0 +05} } diff --git a/library/tzdata/Asia/Yerevan b/library/tzdata/Asia/Yerevan index c552403..0ffb69e 100644 --- a/library/tzdata/Asia/Yerevan +++ b/library/tzdata/Asia/Yerevan @@ -2,69 +2,68 @@ set TZData(:Asia/Yerevan) { {-9223372036854775808 10680 0 LMT} - {-1441162680 10800 0 YERT} - {-405140400 14400 0 YERT} - {354916800 18000 1 YERST} - {370724400 14400 0 YERT} - {386452800 18000 1 YERST} - {402260400 14400 0 YERT} - {417988800 18000 1 YERST} - {433796400 14400 0 YERT} - {449611200 18000 1 YERST} - {465343200 14400 0 YERT} - {481068000 18000 1 YERST} - {496792800 14400 0 YERT} - {512517600 18000 1 YERST} - {528242400 14400 0 YERT} - {543967200 18000 1 YERST} - {559692000 14400 0 YERT} - {575416800 18000 1 YERST} - {591141600 14400 0 YERT} - {606866400 18000 1 YERST} - {622591200 14400 0 YERT} - {638316000 18000 1 YERST} - {654645600 14400 0 YERT} - {670370400 14400 1 YERST} - {685569600 14400 0 AMST} - {686098800 10800 0 AMT} - {701823600 14400 1 AMST} - {717548400 10800 0 AMT} - {733273200 14400 1 AMST} - {748998000 10800 0 AMT} - {764722800 14400 1 AMST} - {780447600 10800 0 AMT} - {796172400 14400 1 AMST} - {811897200 14400 0 AMT} - {852062400 14400 0 AMT} - {859672800 18000 1 AMST} - {877816800 14400 0 AMT} - {891122400 18000 1 AMST} - {909266400 14400 0 AMT} - {922572000 18000 1 AMST} - {941320800 14400 0 AMT} - {954021600 18000 1 AMST} - {972770400 14400 0 AMT} - {985471200 18000 1 AMST} - {1004220000 14400 0 AMT} - {1017525600 18000 1 AMST} - {1035669600 14400 0 AMT} - {1048975200 18000 1 AMST} - {1067119200 14400 0 AMT} - {1080424800 18000 1 AMST} - {1099173600 14400 0 AMT} - {1111874400 18000 1 AMST} - {1130623200 14400 0 AMT} - {1143324000 18000 1 AMST} - {1162072800 14400 0 AMT} - {1174773600 18000 1 AMST} - {1193522400 14400 0 AMT} - {1206828000 18000 1 AMST} - {1224972000 14400 0 AMT} - {1238277600 18000 1 AMST} - {1256421600 14400 0 AMT} - {1269727200 18000 1 AMST} - {1288476000 14400 0 AMT} - {1301176800 18000 1 AMST} - {1319925600 14400 0 AMT} - {1328731200 14400 0 AMT} + {-1441162680 10800 0 +03} + {-405140400 14400 0 +04} + {354916800 18000 1 +05} + {370724400 14400 0 +04} + {386452800 18000 1 +05} + {402260400 14400 0 +04} + {417988800 18000 1 +05} + {433796400 14400 0 +04} + {449611200 18000 1 +05} + {465343200 14400 0 +04} + {481068000 18000 1 +05} + {496792800 14400 0 +04} + {512517600 18000 1 +05} + {528242400 14400 0 +04} + {543967200 18000 1 +05} + {559692000 14400 0 +04} + {575416800 18000 1 +05} + {591141600 14400 0 +04} + {606866400 18000 1 +05} + {622591200 14400 0 +04} + {638316000 18000 1 +05} + {654645600 14400 0 +04} + {670370400 10800 0 +03} + {670374000 14400 1 +04} + {686098800 10800 0 +03} + {701823600 14400 1 +04} + {717548400 10800 0 +03} + {733273200 14400 1 +04} + {748998000 10800 0 +03} + {764722800 14400 1 +04} + {780447600 10800 0 +03} + {796172400 14400 1 +04} + {811897200 14400 0 +04} + {852062400 14400 0 +04} + {859672800 18000 1 +05} + {877816800 14400 0 +04} + {891122400 18000 1 +05} + {909266400 14400 0 +04} + {922572000 18000 1 +05} + {941320800 14400 0 +04} + {954021600 18000 1 +05} + {972770400 14400 0 +04} + {985471200 18000 1 +05} + {1004220000 14400 0 +04} + {1017525600 18000 1 +05} + {1035669600 14400 0 +04} + {1048975200 18000 1 +05} + {1067119200 14400 0 +04} + {1080424800 18000 1 +05} + {1099173600 14400 0 +04} + {1111874400 18000 1 +05} + {1130623200 14400 0 +04} + {1143324000 18000 1 +05} + {1162072800 14400 0 +04} + {1174773600 18000 1 +05} + {1193522400 14400 0 +04} + {1206828000 18000 1 +05} + {1224972000 14400 0 +04} + {1238277600 18000 1 +05} + {1256421600 14400 0 +04} + {1269727200 18000 1 +05} + {1288476000 14400 0 +04} + {1301176800 18000 1 +05} + {1319925600 14400 0 +04} } diff --git a/library/tzdata/Etc/GMT+1 b/library/tzdata/Etc/GMT+1 index 12f97ba..70d39cf 100644 --- a/library/tzdata/Etc/GMT+1 +++ b/library/tzdata/Etc/GMT+1 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT+1) { - {-9223372036854775808 -3600 0 GMT+1} + {-9223372036854775808 -3600 0 -01} } diff --git a/library/tzdata/Etc/GMT+10 b/library/tzdata/Etc/GMT+10 index 6ea50bb..9165a08 100644 --- a/library/tzdata/Etc/GMT+10 +++ b/library/tzdata/Etc/GMT+10 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT+10) { - {-9223372036854775808 -36000 0 GMT+10} + {-9223372036854775808 -36000 0 -10} } diff --git a/library/tzdata/Etc/GMT+11 b/library/tzdata/Etc/GMT+11 index c91b169..a1aaf74 100644 --- a/library/tzdata/Etc/GMT+11 +++ b/library/tzdata/Etc/GMT+11 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT+11) { - {-9223372036854775808 -39600 0 GMT+11} + {-9223372036854775808 -39600 0 -11} } diff --git a/library/tzdata/Etc/GMT+12 b/library/tzdata/Etc/GMT+12 index 29a4cee..d2c082a 100644 --- a/library/tzdata/Etc/GMT+12 +++ b/library/tzdata/Etc/GMT+12 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT+12) { - {-9223372036854775808 -43200 0 GMT+12} + {-9223372036854775808 -43200 0 -12} } diff --git a/library/tzdata/Etc/GMT+2 b/library/tzdata/Etc/GMT+2 index 8c6b526..46cca7d 100644 --- a/library/tzdata/Etc/GMT+2 +++ b/library/tzdata/Etc/GMT+2 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT+2) { - {-9223372036854775808 -7200 0 GMT+2} + {-9223372036854775808 -7200 0 -02} } diff --git a/library/tzdata/Etc/GMT+3 b/library/tzdata/Etc/GMT+3 index 862571d..e1e3001 100644 --- a/library/tzdata/Etc/GMT+3 +++ b/library/tzdata/Etc/GMT+3 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT+3) { - {-9223372036854775808 -10800 0 GMT+3} + {-9223372036854775808 -10800 0 -03} } diff --git a/library/tzdata/Etc/GMT+4 b/library/tzdata/Etc/GMT+4 index a933bbc..32afa24 100644 --- a/library/tzdata/Etc/GMT+4 +++ b/library/tzdata/Etc/GMT+4 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT+4) { - {-9223372036854775808 -14400 0 GMT+4} + {-9223372036854775808 -14400 0 -04} } diff --git a/library/tzdata/Etc/GMT+5 b/library/tzdata/Etc/GMT+5 index 80cc25c..747abf5 100644 --- a/library/tzdata/Etc/GMT+5 +++ b/library/tzdata/Etc/GMT+5 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT+5) { - {-9223372036854775808 -18000 0 GMT+5} + {-9223372036854775808 -18000 0 -05} } diff --git a/library/tzdata/Etc/GMT+6 b/library/tzdata/Etc/GMT+6 index bc57bd6..1096839 100644 --- a/library/tzdata/Etc/GMT+6 +++ b/library/tzdata/Etc/GMT+6 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT+6) { - {-9223372036854775808 -21600 0 GMT+6} + {-9223372036854775808 -21600 0 -06} } diff --git a/library/tzdata/Etc/GMT+7 b/library/tzdata/Etc/GMT+7 index d419eb9..6d47863 100644 --- a/library/tzdata/Etc/GMT+7 +++ b/library/tzdata/Etc/GMT+7 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT+7) { - {-9223372036854775808 -25200 0 GMT+7} + {-9223372036854775808 -25200 0 -07} } diff --git a/library/tzdata/Etc/GMT+8 b/library/tzdata/Etc/GMT+8 index 705ad40..33c0f69 100644 --- a/library/tzdata/Etc/GMT+8 +++ b/library/tzdata/Etc/GMT+8 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT+8) { - {-9223372036854775808 -28800 0 GMT+8} + {-9223372036854775808 -28800 0 -08} } diff --git a/library/tzdata/Etc/GMT+9 b/library/tzdata/Etc/GMT+9 index 4086639..4119bf4 100644 --- a/library/tzdata/Etc/GMT+9 +++ b/library/tzdata/Etc/GMT+9 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT+9) { - {-9223372036854775808 -32400 0 GMT+9} + {-9223372036854775808 -32400 0 -09} } diff --git a/library/tzdata/Etc/GMT-1 b/library/tzdata/Etc/GMT-1 index a44dd1f..e7ac44b 100644 --- a/library/tzdata/Etc/GMT-1 +++ b/library/tzdata/Etc/GMT-1 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT-1) { - {-9223372036854775808 3600 0 GMT-1} + {-9223372036854775808 3600 0 +01} } diff --git a/library/tzdata/Etc/GMT-10 b/library/tzdata/Etc/GMT-10 index 1c50d01..fdbd1e3 100644 --- a/library/tzdata/Etc/GMT-10 +++ b/library/tzdata/Etc/GMT-10 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT-10) { - {-9223372036854775808 36000 0 GMT-10} + {-9223372036854775808 36000 0 +10} } diff --git a/library/tzdata/Etc/GMT-11 b/library/tzdata/Etc/GMT-11 index d07710f..4b28ad0 100644 --- a/library/tzdata/Etc/GMT-11 +++ b/library/tzdata/Etc/GMT-11 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT-11) { - {-9223372036854775808 39600 0 GMT-11} + {-9223372036854775808 39600 0 +11} } diff --git a/library/tzdata/Etc/GMT-12 b/library/tzdata/Etc/GMT-12 index a23b98d..594bac3 100644 --- a/library/tzdata/Etc/GMT-12 +++ b/library/tzdata/Etc/GMT-12 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT-12) { - {-9223372036854775808 43200 0 GMT-12} + {-9223372036854775808 43200 0 +12} } diff --git a/library/tzdata/Etc/GMT-13 b/library/tzdata/Etc/GMT-13 index 1a6700a..f61159e 100644 --- a/library/tzdata/Etc/GMT-13 +++ b/library/tzdata/Etc/GMT-13 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT-13) { - {-9223372036854775808 46800 0 GMT-13} + {-9223372036854775808 46800 0 +13} } diff --git a/library/tzdata/Etc/GMT-14 b/library/tzdata/Etc/GMT-14 index 3707e21..493800f 100644 --- a/library/tzdata/Etc/GMT-14 +++ b/library/tzdata/Etc/GMT-14 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT-14) { - {-9223372036854775808 50400 0 GMT-14} + {-9223372036854775808 50400 0 +14} } diff --git a/library/tzdata/Etc/GMT-2 b/library/tzdata/Etc/GMT-2 index f9dea16..51fdbed 100644 --- a/library/tzdata/Etc/GMT-2 +++ b/library/tzdata/Etc/GMT-2 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT-2) { - {-9223372036854775808 7200 0 GMT-2} + {-9223372036854775808 7200 0 +02} } diff --git a/library/tzdata/Etc/GMT-3 b/library/tzdata/Etc/GMT-3 index 99145b8..7aed39d 100644 --- a/library/tzdata/Etc/GMT-3 +++ b/library/tzdata/Etc/GMT-3 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT-3) { - {-9223372036854775808 10800 0 GMT-3} + {-9223372036854775808 10800 0 +03} } diff --git a/library/tzdata/Etc/GMT-4 b/library/tzdata/Etc/GMT-4 index 27b4fec..6ca6372 100644 --- a/library/tzdata/Etc/GMT-4 +++ b/library/tzdata/Etc/GMT-4 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT-4) { - {-9223372036854775808 14400 0 GMT-4} + {-9223372036854775808 14400 0 +04} } diff --git a/library/tzdata/Etc/GMT-5 b/library/tzdata/Etc/GMT-5 index dbe3df7..6c47a31 100644 --- a/library/tzdata/Etc/GMT-5 +++ b/library/tzdata/Etc/GMT-5 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT-5) { - {-9223372036854775808 18000 0 GMT-5} + {-9223372036854775808 18000 0 +05} } diff --git a/library/tzdata/Etc/GMT-6 b/library/tzdata/Etc/GMT-6 index 414dbfa..202e7f8 100644 --- a/library/tzdata/Etc/GMT-6 +++ b/library/tzdata/Etc/GMT-6 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT-6) { - {-9223372036854775808 21600 0 GMT-6} + {-9223372036854775808 21600 0 +06} } diff --git a/library/tzdata/Etc/GMT-7 b/library/tzdata/Etc/GMT-7 index 2bd59db..c6deaf3 100644 --- a/library/tzdata/Etc/GMT-7 +++ b/library/tzdata/Etc/GMT-7 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT-7) { - {-9223372036854775808 25200 0 GMT-7} + {-9223372036854775808 25200 0 +07} } diff --git a/library/tzdata/Etc/GMT-8 b/library/tzdata/Etc/GMT-8 index 7303721..4bed42e 100644 --- a/library/tzdata/Etc/GMT-8 +++ b/library/tzdata/Etc/GMT-8 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT-8) { - {-9223372036854775808 28800 0 GMT-8} + {-9223372036854775808 28800 0 +08} } diff --git a/library/tzdata/Etc/GMT-9 b/library/tzdata/Etc/GMT-9 index 46e6878..2a7625b 100644 --- a/library/tzdata/Etc/GMT-9 +++ b/library/tzdata/Etc/GMT-9 @@ -1,5 +1,5 @@ # created by tools/tclZIC.tcl - do not edit set TZData(:Etc/GMT-9) { - {-9223372036854775808 32400 0 GMT-9} + {-9223372036854775808 32400 0 +09} } diff --git a/library/tzdata/Europe/Istanbul b/library/tzdata/Europe/Istanbul index 8eadbc3..f7b0c24 100644 --- a/library/tzdata/Europe/Istanbul +++ b/library/tzdata/Europe/Istanbul @@ -57,17 +57,17 @@ set TZData(:Europe/Istanbul) { {228866400 10800 1 EEST} {245797200 7200 0 EET} {260316000 10800 1 EEST} - {277246800 14400 0 TRST} - {291769200 14400 1 TRST} - {308779200 10800 0 TRT} - {323827200 14400 1 TRST} - {340228800 10800 0 TRT} - {354672000 14400 1 TRST} - {371678400 10800 0 TRT} - {386121600 14400 1 TRST} - {403128000 10800 0 TRT} - {428446800 14400 1 TRST} - {433886400 10800 0 TRT} + {277246800 14400 0 +04} + {291769200 14400 1 +04} + {308779200 10800 0 +03} + {323827200 14400 1 +04} + {340228800 10800 0 +03} + {354672000 14400 1 +04} + {371678400 10800 0 +03} + {386121600 14400 1 +04} + {403128000 10800 0 +03} + {428446800 14400 1 +04} + {433886400 10800 0 +03} {482792400 7200 0 EET} {482796000 10800 1 EEST} {496702800 7200 0 EET} @@ -136,171 +136,5 @@ set TZData(:Europe/Istanbul) { {1445734800 10800 1 EEST} {1446944400 7200 0 EET} {1459040400 10800 1 EEST} - {1477789200 7200 0 EET} - {1490490000 10800 1 EEST} - {1509238800 7200 0 EET} - {1521939600 10800 1 EEST} - {1540688400 7200 0 EET} - {1553994000 10800 1 EEST} - {1572138000 7200 0 EET} - {1585443600 10800 1 EEST} - {1603587600 7200 0 EET} - {1616893200 10800 1 EEST} - {1635642000 7200 0 EET} - {1648342800 10800 1 EEST} - {1667091600 7200 0 EET} - {1679792400 10800 1 EEST} - {1698541200 7200 0 EET} - {1711846800 10800 1 EEST} - {1729990800 7200 0 EET} - {1743296400 10800 1 EEST} - {1761440400 7200 0 EET} - {1774746000 10800 1 EEST} - {1792890000 7200 0 EET} - {1806195600 10800 1 EEST} - {1824944400 7200 0 EET} - {1837645200 10800 1 EEST} - {1856394000 7200 0 EET} - {1869094800 10800 1 EEST} - {1887843600 7200 0 EET} - {1901149200 10800 1 EEST} - {1919293200 7200 0 EET} - {1932598800 10800 1 EEST} - {1950742800 7200 0 EET} - {1964048400 10800 1 EEST} - {1982797200 7200 0 EET} - {1995498000 10800 1 EEST} - {2014246800 7200 0 EET} - {2026947600 10800 1 EEST} - {2045696400 7200 0 EET} - {2058397200 10800 1 EEST} - {2077146000 7200 0 EET} - {2090451600 10800 1 EEST} - {2108595600 7200 0 EET} - {2121901200 10800 1 EEST} - {2140045200 7200 0 EET} - {2153350800 10800 1 EEST} - {2172099600 7200 0 EET} - {2184800400 10800 1 EEST} - {2203549200 7200 0 EET} - {2216250000 10800 1 EEST} - {2234998800 7200 0 EET} - {2248304400 10800 1 EEST} - {2266448400 7200 0 EET} - {2279754000 10800 1 EEST} - {2297898000 7200 0 EET} - {2311203600 10800 1 EEST} - {2329347600 7200 0 EET} - {2342653200 10800 1 EEST} - {2361402000 7200 0 EET} - {2374102800 10800 1 EEST} - {2392851600 7200 0 EET} - {2405552400 10800 1 EEST} - {2424301200 7200 0 EET} - {2437606800 10800 1 EEST} - {2455750800 7200 0 EET} - {2469056400 10800 1 EEST} - {2487200400 7200 0 EET} - {2500506000 10800 1 EEST} - {2519254800 7200 0 EET} - {2531955600 10800 1 EEST} - {2550704400 7200 0 EET} - {2563405200 10800 1 EEST} - {2582154000 7200 0 EET} - {2595459600 10800 1 EEST} - {2613603600 7200 0 EET} - {2626909200 10800 1 EEST} - {2645053200 7200 0 EET} - {2658358800 10800 1 EEST} - {2676502800 7200 0 EET} - {2689808400 10800 1 EEST} - {2708557200 7200 0 EET} - {2721258000 10800 1 EEST} - {2740006800 7200 0 EET} - {2752707600 10800 1 EEST} - {2771456400 7200 0 EET} - {2784762000 10800 1 EEST} - {2802906000 7200 0 EET} - {2816211600 10800 1 EEST} - {2834355600 7200 0 EET} - {2847661200 10800 1 EEST} - {2866410000 7200 0 EET} - {2879110800 10800 1 EEST} - {2897859600 7200 0 EET} - {2910560400 10800 1 EEST} - {2929309200 7200 0 EET} - {2942010000 10800 1 EEST} - {2960758800 7200 0 EET} - {2974064400 10800 1 EEST} - {2992208400 7200 0 EET} - {3005514000 10800 1 EEST} - {3023658000 7200 0 EET} - {3036963600 10800 1 EEST} - {3055712400 7200 0 EET} - {3068413200 10800 1 EEST} - {3087162000 7200 0 EET} - {3099862800 10800 1 EEST} - {3118611600 7200 0 EET} - {3131917200 10800 1 EEST} - {3150061200 7200 0 EET} - {3163366800 10800 1 EEST} - {3181510800 7200 0 EET} - {3194816400 10800 1 EEST} - {3212960400 7200 0 EET} - {3226266000 10800 1 EEST} - {3245014800 7200 0 EET} - {3257715600 10800 1 EEST} - {3276464400 7200 0 EET} - {3289165200 10800 1 EEST} - {3307914000 7200 0 EET} - {3321219600 10800 1 EEST} - {3339363600 7200 0 EET} - {3352669200 10800 1 EEST} - {3370813200 7200 0 EET} - {3384118800 10800 1 EEST} - {3402867600 7200 0 EET} - {3415568400 10800 1 EEST} - {3434317200 7200 0 EET} - {3447018000 10800 1 EEST} - {3465766800 7200 0 EET} - {3479072400 10800 1 EEST} - {3497216400 7200 0 EET} - {3510522000 10800 1 EEST} - {3528666000 7200 0 EET} - {3541971600 10800 1 EEST} - {3560115600 7200 0 EET} - {3573421200 10800 1 EEST} - {3592170000 7200 0 EET} - {3604870800 10800 1 EEST} - {3623619600 7200 0 EET} - {3636320400 10800 1 EEST} - {3655069200 7200 0 EET} - {3668374800 10800 1 EEST} - {3686518800 7200 0 EET} - {3699824400 10800 1 EEST} - {3717968400 7200 0 EET} - {3731274000 10800 1 EEST} - {3750022800 7200 0 EET} - {3762723600 10800 1 EEST} - {3781472400 7200 0 EET} - {3794173200 10800 1 EEST} - {3812922000 7200 0 EET} - {3825622800 10800 1 EEST} - {3844371600 7200 0 EET} - {3857677200 10800 1 EEST} - {3875821200 7200 0 EET} - {3889126800 10800 1 EEST} - {3907270800 7200 0 EET} - {3920576400 10800 1 EEST} - {3939325200 7200 0 EET} - {3952026000 10800 1 EEST} - {3970774800 7200 0 EET} - {3983475600 10800 1 EEST} - {4002224400 7200 0 EET} - {4015530000 10800 1 EEST} - {4033674000 7200 0 EET} - {4046979600 10800 1 EEST} - {4065123600 7200 0 EET} - {4078429200 10800 1 EEST} - {4096573200 7200 0 EET} + {1473199200 10800 0 +03} } diff --git a/library/tzdata/Europe/Kaliningrad b/library/tzdata/Europe/Kaliningrad index 85add82..e1713ae 100644 --- a/library/tzdata/Europe/Kaliningrad +++ b/library/tzdata/Europe/Kaliningrad @@ -80,6 +80,6 @@ set TZData(:Europe/Kaliningrad) { {1256428800 7200 0 EET} {1269734400 10800 1 EEST} {1288483200 7200 0 EET} - {1301184000 10800 0 FET} + {1301184000 10800 0 +03} {1414278000 7200 0 EET} } diff --git a/library/tzdata/Europe/Kirov b/library/tzdata/Europe/Kirov index 82ffc9e..8762d22 100644 --- a/library/tzdata/Europe/Kirov +++ b/library/tzdata/Europe/Kirov @@ -2,7 +2,7 @@ set TZData(:Europe/Kirov) { {-9223372036854775808 11928 0 LMT} - {-1593825528 10800 0 +03} + {-1593820800 10800 0 +03} {-1247540400 14400 0 +05} {354916800 18000 1 +05} {370724400 14400 0 +04} diff --git a/library/tzdata/Europe/Minsk b/library/tzdata/Europe/Minsk index 2857e5b..7a6232e 100644 --- a/library/tzdata/Europe/Minsk +++ b/library/tzdata/Europe/Minsk @@ -71,6 +71,5 @@ set TZData(:Europe/Minsk) { {1256428800 7200 0 EET} {1269734400 10800 1 EEST} {1288483200 7200 0 EET} - {1301184000 10800 0 FET} - {1414274400 10800 0 MSK} + {1301184000 10800 0 +03} } diff --git a/library/tzdata/Europe/Moscow b/library/tzdata/Europe/Moscow index 1e2f45b..9b513b1 100644 --- a/library/tzdata/Europe/Moscow +++ b/library/tzdata/Europe/Moscow @@ -9,10 +9,10 @@ set TZData(:Europe/Moscow) { {-1627965079 16279 1 MDST} {-1618716679 12679 1 MST} {-1596429079 16279 1 MDST} - {-1593822679 14400 0 MSD} + {-1593820800 14400 0 MSD} {-1589860800 10800 0 MSK} {-1542427200 14400 1 MSD} - {-1539493200 18000 1 MSM} + {-1539493200 18000 1 +05} {-1525323600 14400 1 MSD} {-1491188400 7200 0 EET} {-1247536800 10800 0 MSD} diff --git a/library/tzdata/Europe/Samara b/library/tzdata/Europe/Samara index 08203c0..8f21c57 100644 --- a/library/tzdata/Europe/Samara +++ b/library/tzdata/Europe/Samara @@ -2,72 +2,72 @@ set TZData(:Europe/Samara) { {-9223372036854775808 12020 0 LMT} - {-1593825620 10800 0 SAMT} - {-1247540400 14400 0 SAMT} - {-1102305600 14400 0 KUYMMTT} - {354916800 18000 1 KUYST} - {370724400 14400 0 KUYT} - {386452800 18000 1 KUYST} - {402260400 14400 0 KUYT} - {417988800 18000 1 KUYST} - {433796400 14400 0 KUYT} - {449611200 18000 1 KUYST} - {465343200 14400 0 KUYT} - {481068000 18000 1 KUYST} - {496792800 14400 0 KUYT} - {512517600 18000 1 KUYST} - {528242400 14400 0 KUYT} - {543967200 18000 1 KUYST} - {559692000 14400 0 KUYT} - {575416800 18000 1 KUYST} - {591141600 14400 0 KUYT} - {606866400 10800 0 MSD} - {606870000 14400 1 MSD} - {622594800 10800 0 MSK} - {638319600 14400 1 MSD} - {654649200 10800 0 MSK} - {670374000 7200 0 EEMMTT} - {670377600 10800 1 EEST} - {686102400 10800 0 SAMT} - {687916800 14400 0 SAMT} - {701820000 18000 1 SAMST} - {717544800 14400 0 SAMT} - {733269600 18000 1 SAMST} - {748994400 14400 0 SAMT} - {764719200 18000 1 SAMST} - {780444000 14400 0 SAMT} - {796168800 18000 1 SAMST} - {811893600 14400 0 SAMT} - {828223200 18000 1 SAMST} - {846367200 14400 0 SAMT} - {859672800 18000 1 SAMST} - {877816800 14400 0 SAMT} - {891122400 18000 1 SAMST} - {909266400 14400 0 SAMT} - {922572000 18000 1 SAMST} - {941320800 14400 0 SAMT} - {954021600 18000 1 SAMST} - {972770400 14400 0 SAMT} - {985471200 18000 1 SAMST} - {1004220000 14400 0 SAMT} - {1017525600 18000 1 SAMST} - {1035669600 14400 0 SAMT} - {1048975200 18000 1 SAMST} - {1067119200 14400 0 SAMT} - {1080424800 18000 1 SAMST} - {1099173600 14400 0 SAMT} - {1111874400 18000 1 SAMST} - {1130623200 14400 0 SAMT} - {1143324000 18000 1 SAMST} - {1162072800 14400 0 SAMT} - {1174773600 18000 1 SAMST} - {1193522400 14400 0 SAMT} - {1206828000 18000 1 SAMST} - {1224972000 14400 0 SAMT} - {1238277600 18000 1 SAMST} - {1256421600 14400 0 SAMT} - {1269727200 10800 0 SAMMMTT} - {1269730800 14400 1 SAMST} - {1288479600 10800 0 SAMT} - {1301180400 14400 0 SAMT} + {-1593820800 10800 0 +03} + {-1247540400 14400 0 +04} + {-1102305600 14400 0 +05} + {354916800 18000 1 +05} + {370724400 14400 0 +04} + {386452800 18000 1 +05} + {402260400 14400 0 +04} + {417988800 18000 1 +05} + {433796400 14400 0 +04} + {449611200 18000 1 +05} + {465343200 14400 0 +04} + {481068000 18000 1 +05} + {496792800 14400 0 +04} + {512517600 18000 1 +05} + {528242400 14400 0 +04} + {543967200 18000 1 +05} + {559692000 14400 0 +04} + {575416800 18000 1 +05} + {591141600 14400 0 +04} + {606866400 10800 0 +04} + {606870000 14400 1 +04} + {622594800 10800 0 +03} + {638319600 14400 1 +04} + {654649200 10800 0 +03} + {670374000 7200 0 +03} + {670377600 10800 1 +03} + {686102400 10800 0 +03} + {687916800 14400 0 +04} + {701820000 18000 1 +05} + {717544800 14400 0 +04} + {733269600 18000 1 +05} + {748994400 14400 0 +04} + {764719200 18000 1 +05} + {780444000 14400 0 +04} + {796168800 18000 1 +05} + {811893600 14400 0 +04} + {828223200 18000 1 +05} + {846367200 14400 0 +04} + {859672800 18000 1 +05} + {877816800 14400 0 +04} + {891122400 18000 1 +05} + {909266400 14400 0 +04} + {922572000 18000 1 +05} + {941320800 14400 0 +04} + {954021600 18000 1 +05} + {972770400 14400 0 +04} + {985471200 18000 1 +05} + {1004220000 14400 0 +04} + {1017525600 18000 1 +05} + {1035669600 14400 0 +04} + {1048975200 18000 1 +05} + {1067119200 14400 0 +04} + {1080424800 18000 1 +05} + {1099173600 14400 0 +04} + {1111874400 18000 1 +05} + {1130623200 14400 0 +04} + {1143324000 18000 1 +05} + {1162072800 14400 0 +04} + {1174773600 18000 1 +05} + {1193522400 14400 0 +04} + {1206828000 18000 1 +05} + {1224972000 14400 0 +04} + {1238277600 18000 1 +05} + {1256421600 14400 0 +04} + {1269727200 10800 0 +04} + {1269730800 14400 1 +04} + {1288479600 10800 0 +03} + {1301180400 14400 0 +04} } diff --git a/library/tzdata/Europe/Ulyanovsk b/library/tzdata/Europe/Ulyanovsk index d5c33b5..8fb3f9e 100644 --- a/library/tzdata/Europe/Ulyanovsk +++ b/library/tzdata/Europe/Ulyanovsk @@ -2,7 +2,7 @@ set TZData(:Europe/Ulyanovsk) { {-9223372036854775808 11616 0 LMT} - {-1593825216 10800 0 +03} + {-1593820800 10800 0 +03} {-1247540400 14400 0 +05} {354916800 18000 1 +05} {370724400 14400 0 +04} diff --git a/library/tzdata/Europe/Volgograd b/library/tzdata/Europe/Volgograd index 83996b0..05e1044 100644 --- a/library/tzdata/Europe/Volgograd +++ b/library/tzdata/Europe/Volgograd @@ -2,71 +2,70 @@ set TZData(:Europe/Volgograd) { {-9223372036854775808 10660 0 LMT} - {-1577761060 10800 0 TSAT} - {-1411873200 10800 0 STAT} - {-1247540400 14400 0 STAT} - {-256881600 14400 0 VOLMMTT} - {354916800 18000 1 VOLST} - {370724400 14400 0 VOLT} - {386452800 18000 1 VOLST} - {402260400 14400 0 VOLT} - {417988800 18000 1 VOLST} - {433796400 14400 0 VOLT} - {449611200 18000 1 VOLST} - {465343200 14400 0 VOLT} - {481068000 18000 1 VOLST} - {496792800 14400 0 VOLT} - {512517600 18000 1 VOLST} - {528242400 14400 0 VOLT} - {543967200 18000 1 VOLST} - {559692000 14400 0 VOLT} - {575416800 10800 0 VOLMMTT} - {575420400 14400 1 VOLST} - {591145200 10800 0 VOLT} - {606870000 14400 1 VOLST} - {622594800 10800 0 VOLT} - {638319600 14400 1 VOLST} - {654649200 10800 0 VOLT} - {670374000 14400 0 VOLT} - {701820000 10800 0 MSD} - {701823600 14400 1 MSD} - {717548400 10800 0 MSK} - {733273200 14400 1 MSD} - {748998000 10800 0 MSK} - {764722800 14400 1 MSD} - {780447600 10800 0 MSK} - {796172400 14400 1 MSD} - {811897200 10800 0 MSK} - {828226800 14400 1 MSD} - {846370800 10800 0 MSK} - {859676400 14400 1 MSD} - {877820400 10800 0 MSK} - {891126000 14400 1 MSD} - {909270000 10800 0 MSK} - {922575600 14400 1 MSD} - {941324400 10800 0 MSK} - {954025200 14400 1 MSD} - {972774000 10800 0 MSK} - {985474800 14400 1 MSD} - {1004223600 10800 0 MSK} - {1017529200 14400 1 MSD} - {1035673200 10800 0 MSK} - {1048978800 14400 1 MSD} - {1067122800 10800 0 MSK} - {1080428400 14400 1 MSD} - {1099177200 10800 0 MSK} - {1111878000 14400 1 MSD} - {1130626800 10800 0 MSK} - {1143327600 14400 1 MSD} - {1162076400 10800 0 MSK} - {1174777200 14400 1 MSD} - {1193526000 10800 0 MSK} - {1206831600 14400 1 MSD} - {1224975600 10800 0 MSK} - {1238281200 14400 1 MSD} - {1256425200 10800 0 MSK} - {1269730800 14400 1 MSD} - {1288479600 10800 0 MSK} - {1301180400 14400 0 MSK} - {1414274400 10800 0 MSK} + {-1577761060 10800 0 +03} + {-1247540400 14400 0 +04} + {-256881600 14400 0 +05} + {354916800 18000 1 +05} + {370724400 14400 0 +04} + {386452800 18000 1 +05} + {402260400 14400 0 +04} + {417988800 18000 1 +05} + {433796400 14400 0 +04} + {449611200 18000 1 +05} + {465343200 14400 0 +04} + {481068000 18000 1 +05} + {496792800 14400 0 +04} + {512517600 18000 1 +05} + {528242400 14400 0 +04} + {543967200 18000 1 +05} + {559692000 14400 0 +04} + {575416800 10800 0 +04} + {575420400 14400 1 +04} + {591145200 10800 0 +03} + {606870000 14400 1 +04} + {622594800 10800 0 +03} + {638319600 14400 1 +04} + {654649200 10800 0 +03} + {670374000 14400 0 +04} + {701820000 10800 0 +04} + {701823600 14400 1 +04} + {717548400 10800 0 +03} + {733273200 14400 1 +04} + {748998000 10800 0 +03} + {764722800 14400 1 +04} + {780447600 10800 0 +03} + {796172400 14400 1 +04} + {811897200 10800 0 +03} + {828226800 14400 1 +04} + {846370800 10800 0 +03} + {859676400 14400 1 +04} + {877820400 10800 0 +03} + {891126000 14400 1 +04} + {909270000 10800 0 +03} + {922575600 14400 1 +04} + {941324400 10800 0 +03} + {954025200 14400 1 +04} + {972774000 10800 0 +03} + {985474800 14400 1 +04} + {1004223600 10800 0 +03} + {1017529200 14400 1 +04} + {1035673200 10800 0 +03} + {1048978800 14400 1 +04} + {1067122800 10800 0 +03} + {1080428400 14400 1 +04} + {1099177200 10800 0 +03} + {1111878000 14400 1 +04} + {1130626800 10800 0 +03} + {1143327600 14400 1 +04} + {1162076400 10800 0 +03} + {1174777200 14400 1 +04} + {1193526000 10800 0 +03} + {1206831600 14400 1 +04} + {1224975600 10800 0 +03} + {1238281200 14400 1 +04} + {1256425200 10800 0 +03} + {1269730800 14400 1 +04} + {1288479600 10800 0 +03} + {1301180400 14400 0 +04} + {1414274400 10800 0 +03} } diff --git a/library/tzdata/Indian/Kerguelen b/library/tzdata/Indian/Kerguelen index 8820010..93f2d94 100644 --- a/library/tzdata/Indian/Kerguelen +++ b/library/tzdata/Indian/Kerguelen @@ -2,5 +2,5 @@ set TZData(:Indian/Kerguelen) { {-9223372036854775808 0 0 -00} - {-631152000 18000 0 TFT} + {-631152000 18000 0 +05} } -- cgit v0.12 From 0bb135c827e61a652002b80bbdd7fdb07861cfbe Mon Sep 17 00:00:00 2001 From: pooryorick Date: Mon, 3 Oct 2016 01:10:16 +0000 Subject: Fix [2bf561854c55a], interp alias to command whose name is the empty string. --- generic/tclInterp.c | 11 +++-------- tests/interp.test | 11 +++++++++++ 2 files changed, 14 insertions(+), 8 deletions(-) diff --git a/generic/tclInterp.c b/generic/tclInterp.c index a2de658..1bfe76a 100644 --- a/generic/tclInterp.c +++ b/generic/tclInterp.c @@ -660,14 +660,9 @@ NRInterpCmd( if (masterInterp == NULL) { return TCL_ERROR; } - if (TclGetString(objv[5])[0] == '\0') { - if (objc == 6) { - return AliasDelete(interp, slaveInterp, objv[3]); - } - } else { - return AliasCreate(interp, slaveInterp, masterInterp, objv[3], - objv[5], objc - 6, objv + 6); - } + + return AliasCreate(interp, slaveInterp, masterInterp, objv[3], + objv[5], objc - 6, objv + 6); } goto aliasArgs; } diff --git a/tests/interp.test b/tests/interp.test index 34b5bf9..ed76f1a 100644 --- a/tests/interp.test +++ b/tests/interp.test @@ -606,6 +606,17 @@ test interp-14.10 {testing interp-alias: error messages} -setup { invoked from within "a 1"} +test interp-14.11 {{interp alias} {target named the empty string} {bug 2bf56185}} -setup { + set interp [interp create [info cmdcount]] + interp eval $interp { + proc {} args {return $args} + } + +} -body { + interp alias {} p1 $interp {} + p1 one two three +} -result {one two three} + # part 15: testing file sharing test interp-15.1 {testing file sharing} { catch {interp delete z} -- cgit v0.12 From a9141cc7056ed9c6778e8fcfb770fcdef7cae3a6 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 3 Oct 2016 14:53:32 +0000 Subject: (cherry-pick): Fix [2bf561854c55a], interp alias to command whose name is the empty string. --- generic/tclInterp.c | 11 +++-------- tests/interp.test | 11 +++++++++++ 2 files changed, 14 insertions(+), 8 deletions(-) diff --git a/generic/tclInterp.c b/generic/tclInterp.c index 66ce1e0..8a0d653 100644 --- a/generic/tclInterp.c +++ b/generic/tclInterp.c @@ -660,14 +660,9 @@ NRInterpCmd( if (masterInterp == NULL) { return TCL_ERROR; } - if (TclGetString(objv[5])[0] == '\0') { - if (objc == 6) { - return AliasDelete(interp, slaveInterp, objv[3]); - } - } else { - return AliasCreate(interp, slaveInterp, masterInterp, objv[3], - objv[5], objc - 6, objv + 6); - } + + return AliasCreate(interp, slaveInterp, masterInterp, objv[3], + objv[5], objc - 6, objv + 6); } goto aliasArgs; } diff --git a/tests/interp.test b/tests/interp.test index f9c1aec..6000ffd 100644 --- a/tests/interp.test +++ b/tests/interp.test @@ -606,6 +606,17 @@ test interp-14.10 {testing interp-alias: error messages} -setup { invoked from within "a 1"} +test interp-14.11 {{interp alias} {target named the empty string} {bug 2bf56185}} -setup { + set interp [interp create [info cmdcount]] + interp eval $interp { + proc {} args {return $args} + } + +} -body { + interp alias {} p1 $interp {} + p1 one two three +} -result {one two three} + # part 15: testing file sharing test interp-15.1 {testing file sharing} { catch {interp delete z} -- cgit v0.12 From 2735ae8a8f3cd9a14778858d17f195bf54fc3303 Mon Sep 17 00:00:00 2001 From: pooryorick Date: Mon, 3 Oct 2016 16:49:58 +0000 Subject: Fix documentation of [expr] operators, replacing "divisor" with "dividend" --- doc/expr.n | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/doc/expr.n b/doc/expr.n index b76b6a2..e25515d 100644 --- a/doc/expr.n +++ b/doc/expr.n @@ -133,15 +133,15 @@ Exponentiation. Valid for any numeric operands. Multiply, divide, remainder. None of these operators may be applied to string operands, and remainder may be applied only to integers. -The remainder will always have the same sign as the divisor and +The remainder always has the same sign as the divisor and an absolute value smaller than the absolute value of the divisor. .RS .PP When applied to integers, the division and remainder operators can be considered to partition the number line into a sequence of equal-sized adjacent non-overlapping pieces where each piece is the size of the divisor; -the division result identifies which piece the divisor lay within, and the -remainder result identifies where within that piece the divisor lay. A +the division result identifies which piece the dividend lies within, and the +remainder result identifies where within that piece the dividend lies. A consequence of this is that the result of .QW "-57 \fB/\fR 10" is always -6, and the result of -- cgit v0.12 From 5b377a6192b167ec34c088deab0eed8aa80253bb Mon Sep 17 00:00:00 2001 From: max Date: Tue, 4 Oct 2016 13:31:49 +0000 Subject: When opening a server socket on an ephemeral port, make sure that the port number that gets picked for IPv4 is also available on IPv6. If not, start all over for up to ten times to find a port number that is available on both protocols. --- unix/tclUnixSock.c | 39 ++++++++++++++++++++++++++++++++++++++- 1 file changed, 38 insertions(+), 1 deletion(-) diff --git a/unix/tclUnixSock.c b/unix/tclUnixSock.c index 8167077..f7bd0be 100644 --- a/unix/tclUnixSock.c +++ b/unix/tclUnixSock.c @@ -1429,7 +1429,7 @@ Tcl_OpenTcpServer( * clients. */ ClientData acceptProcData) /* Data for the callback. */ { - int status = 0, sock = -1, reuseaddr = 1, chosenport = 0; + int status = 0, sock = -1, reuseaddr = 1, chosenport; struct addrinfo *addrlist = NULL, *addrPtr; /* socket address */ TcpState *statePtr = NULL; char channelName[SOCK_CHAN_LENGTH]; @@ -1444,6 +1444,37 @@ Tcl_OpenTcpServer( enum { LOOKUP, SOCKET, BIND, LISTEN } howfar = LOOKUP; int my_errno = 0; + /* + * If we were called with port 0 to listen on a random port number, we + * copy the port number from the first member of the addrinfo list to all + * subsequent members, so that IPv4 and IPv6 listen on the same port. This + * might fail to bind() with EADDRINUSE if a port is free on the first + * address family in the list but already used on the other. In this case + * we revert everything we've done so far and start from scratch hoping + * that next time we'll find a port number that is usable on all address + * families. We try this at most MAXRETRY times to avoid an endless loop + * if all ports are taken. + */ + int retry = 0; +#define MAXRETRY 10 + + repeat: + if (retry > 0) { + if (statePtr != NULL) { + TcpCloseProc(statePtr, NULL); + statePtr = NULL; + } + if (addrlist != NULL) { + freeaddrinfo(addrlist); + addrlist = NULL; + } + if (retry >= MAXRETRY) { + goto error; + } + } + retry++; + chosenport = 0; + if (!TclCreateSocketAddress(interp, &addrlist, myHost, port, 1, &errorMsg)) { my_errno = errno; goto error; @@ -1512,6 +1543,9 @@ Tcl_OpenTcpServer( } close(sock); sock = -1; + if (port == 0 && errno == EADDRINUSE) { + goto repeat; + } continue; } if (port == 0 && chosenport == 0) { @@ -1535,6 +1569,9 @@ Tcl_OpenTcpServer( } close(sock); sock = -1; + if (port == 0 && errno == EADDRINUSE) { + goto repeat; + } continue; } if (statePtr == NULL) { -- cgit v0.12 From fb0c1827eb055322b7c6f0c5dc80673dbbbf1f9f Mon Sep 17 00:00:00 2001 From: dkf Date: Tue, 4 Oct 2016 19:11:07 +0000 Subject: [4d5ae7d88a] Stop crashes with asynchronous connects to hosts without addresses. --- unix/tclUnixSock.c | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/unix/tclUnixSock.c b/unix/tclUnixSock.c index 9c5cd4b..ca8d677 100644 --- a/unix/tclUnixSock.c +++ b/unix/tclUnixSock.c @@ -1098,7 +1098,7 @@ TcpConnect( { socklen_t optlen; int async_callback = statePtr->flags & TCP_ASYNC_PENDING; - int ret = -1, error = errno; + int ret = -1, error = EHOSTUNREACH; int async = statePtr->flags & TCP_ASYNC_CONNECT; if (async_callback) { -- cgit v0.12 From 2655e9896fe938d39815b319a328f7dcfe1651bc Mon Sep 17 00:00:00 2001 From: pooryorick Date: Wed, 5 Oct 2016 00:05:55 +0000 Subject: Rewrite expr documentation. Among other things, fixes [ef5373e6fa0617ee]. --- doc/expr.n | 385 +++++++++++++++++++++++++++---------------------------------- 1 file changed, 171 insertions(+), 214 deletions(-) diff --git a/doc/expr.n b/doc/expr.n index e25515d..7458129 100644 --- a/doc/expr.n +++ b/doc/expr.n @@ -17,14 +17,14 @@ expr \- Evaluate an expression .BE .SH DESCRIPTION .PP -Concatenates \fIarg\fRs (adding separator spaces between them), -evaluates the result as a Tcl expression, and returns the value. -The operators permitted in Tcl expressions include a subset of +Concatenates \fIarg\fRs, separated by a space, into an expresion, and evaluates +that expression, returning its value. +The operators permitted in an expression include a subset of the operators permitted in C expressions. For those operators common to both Tcl and C, Tcl applies the same meaning and precedence as the corresponding C operators. -Expressions almost always yield numeric results -(integer or floating-point values). +The value of an expressions is often a numeric result, either an integer or a +floating-point value, but may also be a non-numeric value. For example, the expression .PP .CS @@ -32,78 +32,68 @@ For example, the expression .CE .PP evaluates to 14.2. -Tcl expressions differ from C expressions in the way that -operands are specified. Also, Tcl expressions support -non-numeric operands and string comparisons, as well as some +Expressions differ from C expressions in the way that +operands are specified. Also, expressions support +non-numeric operands, string comparisons, and some additional operators not found in C. +.PP +When an expression evaluates to an integer, the value is the decimal form of +the integer, and when an expression evaluates to a floating-point number, the +value is the form produced by the \fB%g\fR format specifier of Tcl's +\fBformat\fR command. .SS OPERANDS .PP -A Tcl expression consists of a combination of operands, operators, -parentheses and commas. -White space may be used between the operands and operators and -parentheses (or commas); it is ignored by the expression's instructions. -Where possible, operands are interpreted as integer values. -Integer values may be specified in decimal (the normal case), in binary -(if the first two characters of the operand are \fB0b\fR), in octal -(if the first two characters of the operand are \fB0o\fR), or in hexadecimal -(if the first two characters of the operand are \fB0x\fR). For -compatibility with older Tcl releases, an octal integer value is also -indicated simply when the first character of the operand is \fB0\fR, -whether or not the second character is also \fBo\fR. -If an operand does not have one of the integer formats given -above, then it is treated as a floating-point number if that is -possible. Floating-point numbers may be specified in any of several -common formats making use of the decimal digits, the decimal point \fB.\fR, -the characters \fBe\fR or \fBE\fR indicating scientific notation, and -the sign characters \fB+\fR or \fB\-\fR. For example, all of the -following are valid floating-point numbers: 2.1, 3., 6e4, 7.91e+16. -Also recognized as floating point values are the strings \fBInf\fR -and \fBNaN\fR making use of any case for each character. -If no numeric interpretation is possible (note that all literal -operands that are not numeric or boolean must be quoted with either -braces or with double quotes), then an operand is left as a string -(and only a limited set of operators may be applied to it). -.PP -Operands may be specified in any of the following ways: +An expression consists of a combination of operands, operators, parentheses and +commas, possibly with whitespace between any of these elements, which is +ignored. +An integer operand may be specified in decimal, binary +(the first two characters are \fB0b\fR), octal +(the first two characters are \fB0o\fR), or hexadecimal +(the first two characters are \fB0x\fR) form. For +compatibility with older Tcl releases, an operand that begins with \fB0\fR is +interpreted as an octal integer even if the second character is not \fBo\fR. +A floating-point number may be specified in any of several +common decimal formats, and may use the decimal point \fB.\fR, +\fBe\fR or \fBE\fR for scientific notation, and +the sign characters \fB+\fR and \fB\-\fR. The +following are all valid floating-point numbers: 2.1, 3., 6e4, 7.91e+16. +The strings \fBInf\fR +and \fBNaN\fR, in any combination of case, are also recognized as floating point +values. An operand that doesn't have a numeric interpretation must be quoted +with either braces or with double quotes. +.PP +An operand may be specified in any of the following ways: .IP [1] As a numeric value, either integer or floating-point. .IP [2] As a boolean value, using any form understood by \fBstring is\fR \fBboolean\fR. .IP [3] -As a Tcl variable, using standard \fB$\fR notation. -The variable's value will be used as the operand. +As a variable, using standard \fB$\fR notation. +The value of the variable is then the value of the operand. .IP [4] As a string enclosed in double-quotes. -The expression parser will perform backslash, variable, and -command substitutions on the information between the quotes, -and use the resulting value as the operand +Backslash, variable, and command substitution are performed as described in +\fBTcl\fR. .IP [5] As a string enclosed in braces. -The characters between the open brace and matching close brace -will be used as the operand without any substitutions. +The operand is treated as a braced value as described in \fBTcl\fR. .IP [6] As a Tcl command enclosed in brackets. -The command will be executed and its result will be used as -the operand. +Command substitution is performed as described in \fBTcl\fR. .IP [7] -As a mathematical function whose arguments have any of the above -forms for operands, such as \fBsin($x)\fR. See \fBMATH FUNCTIONS\fR below for +As a mathematical function such as \fBsin($x)\fR, whose arguments have any of the above +forms for operands. See \fBMATH FUNCTIONS\fR below for a discussion of how mathematical functions are handled. .PP -Where the above substitutions occur (e.g. inside quoted strings), they -are performed by the expression's instructions. -However, the command parser may already have performed one round of -substitution before the expression processor was called. -As discussed below, it is usually best to enclose expressions -in braces to prevent the command parser from performing substitutions -on the contents. +Because \fBexpr\fR parses and performs substitutions on values that have +already been parsed and substituted by \fBTcl\fR, it is usually best to enclose +expressions in braces to avoid the first round of substitutions by +\fBTcl\fR. .PP -For some examples of simple expressions, suppose the variable -\fBa\fR has the value 3 and -the variable \fBb\fR has the value 6. -Then the command on the left side of each of the lines below -will produce the value on the right side of the line: +Below are some examples of simple expressions where the value of \fBa\fR is 3 +and the value of \fBb\fR is 6. The command on the left side of each line +produces the value on the right side. .PP .CS .ta 6c @@ -114,34 +104,41 @@ will produce the value on the right side of the line: .CE .SS OPERATORS .PP -The valid operators (most of which are also available as commands in -the \fBtcl::mathop\fR namespace; see the \fBmathop\fR(n) manual page -for details) are listed below, grouped in decreasing order of precedence: +For operators having both a numeric mode and a string mode, the numeric mode is +chosen when all operands have a numeric interpretation. The integer +interpretation of an operand is preferred over the floating-point +interpretation. To ensure string operations on arbitrary values it is generally a +good idea to use \fBeq\fR, \fBne\fR, or the \fBstring\fR command instead of +more versatile operators such as \fB==\fR. +.PP +Unless otherwise specified, operators accept non-numeric operands. The value +of a boolean operation is 1 if true, 0 otherwise. See also \fBstring is\fR +\fBboolean\fR. The valid operators, most of which are also available as +commands in the \fBtcl::mathop\fR namespace (see \fBmathop\fR(n)), are listed +below, grouped in decreasing order of precedence: .TP 20 \fB\-\0\0+\0\0~\0\0!\fR . -Unary minus, unary plus, bit-wise NOT, logical NOT. None of these operators -may be applied to string operands, and bit-wise NOT may be -applied only to integers. +Unary minus, unary plus, bit-wise NOT, logical NOT. These operators +may only be applied to numeric operands, and bit-wise NOT may only be +applied to integers. .TP 20 \fB**\fR . -Exponentiation. Valid for any numeric operands. +Exponentiation. Valid for numeric operands. .TP 20 \fB*\0\0/\0\0%\fR . -Multiply, divide, remainder. None of these operators may be -applied to string operands, and remainder may be applied only -to integers. -The remainder always has the same sign as the divisor and -an absolute value smaller than the absolute value of the divisor. +Multiply and divide, which are valid for numeric operands, and remainder, which +is valid for integers. The remainder, an absolute value smaller than the +absolute value of the divisor, has the same sign as the divisor. .RS .PP -When applied to integers, the division and remainder operators can be -considered to partition the number line into a sequence of equal-sized -adjacent non-overlapping pieces where each piece is the size of the divisor; -the division result identifies which piece the dividend lies within, and the -remainder result identifies where within that piece the dividend lies. A +When applied to integers, division and remainder can be +considered to partition the number line into a sequence of +adjacent non-overlapping pieces, where each piece is the size of the divisor; +the quotient identifies which piece the dividend lies within, and the +remainder identifies where within that piece the dividend lies. A consequence of this is that the result of .QW "-57 \fB/\fR 10" is always -6, and the result of @@ -151,177 +148,157 @@ is always 3. .TP 20 \fB+\0\0\-\fR . -Add and subtract. Valid for any numeric operands. +Add and subtract. Valid for numeric operands. .TP 20 \fB<<\0\0>>\fR . -Left and right shift. Valid for integer operands only. +Left and right shift. Valid for integers. A right shift always propagates the sign bit. .TP 20 \fB<\0\0>\0\0<=\0\0>=\fR . -Boolean less, greater, less than or equal, and greater than or equal. -Each operator produces 1 if the condition is true, 0 otherwise. -These operators may be applied to strings as well as numeric operands, -in which case string comparison is used. +Boolean less than, greater than, less than or equal, and greater than or equal. .TP 20 \fB==\0\0!=\fR . -Boolean equal and not equal. Each operator produces a zero/one result. -Valid for all operand types. +Boolean equal and not equal. .TP 20 \fBeq\0\0ne\fR . -Boolean string equal and string not equal. Each operator produces a -zero/one result. The operand types are interpreted only as strings. +Boolean string equal and string not equal. .TP 20 \fBin\0\0ni\fR . -List containment and negated list containment. Each operator produces -a zero/one result and treats its first argument as a string and its -second argument as a Tcl list. The \fBin\fR operator indicates -whether the first argument is a member of the second argument list; -the \fBni\fR operator inverts the sense of the result. +List containment and negated list containment. The first argument is +interpreted as a string, the second as a list. \fBin\fR tests for membership +in the list, and \fBni\fR is the inverse. .TP 20 \fB&\fR . -Bit-wise AND. Valid for integer operands only. +Bit-wise AND. Valid for integer operands. .TP 20 \fB^\fR . -Bit-wise exclusive OR. Valid for integer operands only. +Bit-wise exclusive OR. Valid for integer operands. .TP 20 \fB|\fR . -Bit-wise OR. Valid for integer operands only. +Bit-wise OR. Valid for integer operands. .TP 20 \fB&&\fR . -Logical AND. Produces a 1 result if both operands are non-zero, -0 otherwise. -Valid for boolean and numeric (integers or floating-point) operands only. +Logical AND. If both operands are true, the result is 1, or 0 otherwise. + .TP 20 \fB||\fR . -Logical OR. Produces a 0 result if both operands are zero, 1 otherwise. -Valid for boolean and numeric (integers or floating-point) operands only. +Logical OR. If both operands are false, the result is 0, or 1 otherwise. .TP 20 \fIx\fB?\fIy\fB:\fIz\fR . -If-then-else, as in C. If \fIx\fR -evaluates to non-zero, then the result is the value of \fIy\fR. -Otherwise the result is the value of \fIz\fR. -The \fIx\fR operand must have a boolean or numeric value. -.PP -See the C manual for more details on the results -produced by each operator. -The exponentiation operator promotes types like the multiply and -divide operators, and produces a result that is the same as the output -of the \fBpow\fR function (after any type conversions.) -All of the binary operators but exponentiation group left-to-right -within the same precedence level; exponentiation groups right-to-left. For example, the command +If-then-else, as in C. If \fIx\fR is false , the result is the value of +\fIy\fR. Otherwise the result is the value of \fIz\fR. +.PP +The exponentiation operator promotes types in the same way as the multiply +and divide operators, and the result is is the same as the result of +\fBpow\fR. +exponentiation groups right-to-left within a precedence level. Other binary +operators group left-to-right. For example, the value of .PP .CS \fBexpr\fR {4*2 < 7} .CE .PP -returns 0, while +is 0, while the value of .PP .CS \fBexpr\fR {2**3**2} .CE .PP -returns 512. +is 512. .PP -The \fB&&\fR, \fB||\fR, and \fB?:\fR operators have +\fB&&\fR, \fB||\fR, and \fB?:\fR feature .QW "lazy evaluation" , just as in C, which means that operands are not evaluated if they are -not needed to determine the outcome. For example, in the command +not needed to determine the outcome. For example, in .PP .CS \fBexpr\fR {$v ? [a] : [b]} .CE .PP -only one of -.QW \fB[a]\fR -or -.QW \fB[b]\fR -will actually be evaluated, -depending on the value of \fB$v\fR. Note, however, that this is -only true if the entire expression is enclosed in braces; otherwise -the Tcl parser will evaluate both -.QW \fB[a]\fR -and -.QW \fB[b]\fR -before invoking the \fBexpr\fR command. +only one of \fB[a]\fR or \fB[b]\fR is evaluated, +depending on the value of \fB$v\fR. This is not true of the normal Tcl parser, +so it is normally recommended to enclose the arguments to \fBexpr\fR in braces. +Without braces, as in +\fBexpr\fR $v ? [a] : [b] +both \fB[a]\fR and \fB[b]\fR are evaluated before \fBexpr\fR is even called. +.PP +For more details on the results +produced by each operator, see the documentation for C. .SS "MATH FUNCTIONS" .PP -When the expression parser encounters a mathematical function -such as \fBsin($x)\fR, it replaces it with a call to an ordinary -Tcl function in the \fBtcl::mathfunc\fR namespace. The processing -of an expression such as: +A mathematical function such as \fBsin($x)\fR is replaced with a call to an ordinary +Tcl command in the \fBtcl::mathfunc\fR namespace. The evaluation +of an expression such as .PP .CS \fBexpr\fR {sin($x+$y)} .CE .PP -is the same in every way as the processing of: +is the same in every way as the evaluation of .PP .CS \fBexpr\fR {[tcl::mathfunc::sin [\fBexpr\fR {$x+$y}]]} .CE .PP -which in turn is the same as the processing of: +which in turn is the same as the evaluation of .PP .CS tcl::mathfunc::sin [\fBexpr\fR {$x+$y}] .CE .PP -The executor will search for \fBtcl::mathfunc::sin\fR using the usual -rules for resolving functions in namespaces. Either -\fB::tcl::mathfunc::sin\fR or \fB[namespace -current]::tcl::mathfunc::sin\fR will satisfy the request, and others -may as well (depending on the current \fBnamespace path\fR setting). +\fBtcl::mathfunc::sin\fR is resolved as described in +\fBNAMESPACE RESOLUTION\fR in the \fBnamespace\fR documentation. Given the +default value of \fBnamespace path\fR, \fB[namespace +current]::tcl::mathfunc::sin\fR or \fB::tcl::mathfunc::sin\fR are the typical +resolutions. .PP -Some mathematical functions have several arguments, separated by commas like in C. Thus: +As in C, a mathematical function may accept multiple arguments separated by commas. Thus, .PP .CS \fBexpr\fR {hypot($x,$y)} .CE .PP -ends up as +becomes .PP .CS tcl::mathfunc::hypot $x $y .CE .PP -See the \fBmathfunc\fR(n) manual page for the math functions that are +See the \fBmathfunc\fR(n) documentation for the math functions that are available by default. .SS "TYPES, OVERFLOW, AND PRECISION" .PP -All internal computations involving integers are done calling on the -LibTomMath multiple precision integer library as required so that all -integer calculations are performed exactly. Note that in Tcl releases -prior to 8.5, integer calculations were performed with one of the C types +When needed to guarantee exact performance, internal computations involving +integers use the LibTomMath multiple precision integer library. In Tcl releases +prior to 8.5, integer calculations were performed using one of the C types \fIlong int\fR or \fITcl_WideInt\fR, causing implicit range truncation in those calculations where values overflowed the range of those types. -Any code that relied on these implicit truncations will need to explicitly -add \fBint()\fR or \fBwide()\fR function calls to expressions at the points -where such truncation is required to take place. +Any code that relied on these implicit truncations should instead call +\fBint()\fR or \fBwide()\fR, which do truncate. .PP -All internal computations involving floating-point are -done with the C type \fIdouble\fR. +Internal floating-point computations are +performed using the C type \fIdouble\fR. When converting a string to floating-point, exponent overflow is detected and results in the \fIdouble\fR value of \fBInf\fR or \fB\-Inf\fR as appropriate. Floating-point overflow and underflow are detected to the degree supported by the hardware, which is generally -pretty reliable. +fairly reliable. .PP -Conversion among internal representations for integer, floating-point, -and string operands is done automatically as needed. -For arithmetic computations, integers are used until some -floating-point number is introduced, after which floating-point is used. -For example, +Conversion among internal representations for integer, floating-point, and +string operands is done automatically as needed. For arithmetic computations, +integers are used until some floating-point number is introduced, after which +floating-point values are used. For example, .PP .CS \fBexpr\fR {5 / 4} @@ -335,82 +312,62 @@ returns 1, while .CE .PP both return 1.25. -Floating-point values are always returned with a +A floating-point result can be distinguished from an integer result by the +presence of either .QW \fB.\fR -or an +or .QW \fBe\fR -so that they will not look like integer values. For example, +.PP +. For example, .PP .CS \fBexpr\fR {20.0/5.0} .CE .PP returns \fB4.0\fR, not \fB4\fR. -.SS "STRING OPERATIONS" -.PP -String values may be used as operands of the comparison operators, -although the expression evaluator tries to do comparisons as integer -or floating-point when it can, -i.e., when all arguments to the operator allow numeric interpretations, -except in the case of the \fBeq\fR and \fBne\fR operators. -If one of the operands of a comparison is a string and the other -has a numeric value, a canonical string representation of the numeric -operand value is generated to compare with the string operand. -Canonical string representation for integer values is a decimal string -format. Canonical string representation for floating-point values -is that produced by the \fB%g\fR format specifier of Tcl's -\fBformat\fR command. For example, the commands -.PP -.CS -\fBexpr\fR {"0x03" > "2"} -\fBexpr\fR {"0y" > "0x12"} -.CE -.PP -both return 1. The first comparison is done using integer -comparison, and the second is done using string comparison. -Because of Tcl's tendency to treat values as numbers whenever -possible, it is not generally a good idea to use operators like \fB==\fR -when you really want string comparison and the values of the -operands could be arbitrary; it is better in these cases to use -the \fBeq\fR or \fBne\fR operators, or the \fBstring\fR command instead. .SH "PERFORMANCE CONSIDERATIONS" .PP -Enclose expressions in braces for the best speed and the smallest -storage requirements. -This allows the Tcl bytecode compiler to generate the best code. -.PP -As mentioned above, expressions are substituted twice: -once by the Tcl parser and once by the \fBexpr\fR command. -For example, the commands +Where an expression contains syntax that Tcl would otherwise perform +substitutions on, enclosing an expression in braces or otherwise quoting it +so that it's a static value allows the Tcl compiler to generate bytecode for +the expression, resulting in better speed and smaller storage requirements. +This also avoids issues that can arise if Tcl is allowed to perform +substitution on the value before \fBexpr\fR is called. .PP +In the following example, the value of the expression is 11 because the Tcl parser first +substitutes \fB$b\fR and \fBexpr\fR then substitutes \fB$a\fR. Enclosing the +expression in braces would result in a syntax error. .CS set a 3 set b {$a + 2} \fBexpr\fR $b*4 .CE .PP -return 11, not a multiple of 4. -This is because the Tcl parser will first substitute \fB$a + 2\fR for -the variable \fBb\fR, -then the \fBexpr\fR command will evaluate the expression \fB$a + 2*4\fR. -.PP -Most expressions do not require a second round of substitutions. -Either they are enclosed in braces or, if not, -their variable and command substitutions yield numbers or strings -that do not themselves require substitutions. -However, because a few unbraced expressions -need two rounds of substitutions, -the bytecode compiler must emit -additional instructions to handle this situation. -The most expensive code is required for -unbraced expressions that contain command substitutions. -These expressions must be implemented by generating new code -each time the expression is executed. -When the expression is unbraced to allow the substitution of a function or -operator, consider using the commands documented in the \fBmathfunc\fR(n) or -\fBmathop\fR(n) manual pages directly instead. + +When an expression is generated at runtime, like the one above is, the bytcode +compiler must ensure that new code is generated each time the expression +is evaluated. This is the most costly kind of expression from a performance +perspective. In such cases, consider directly using the commands described in +the \fBmathfunc\fR(n) or \fBmathop\fR(n) documentation instead of \fBexpr\fR. + +Most expressions are not formed at runtime, but are literal strings or contain +substitutions that don't introduce other substitutions. To allow the bytecode +compiler to work with an expression as a string literal at compilation time, +ensure that it contains no substitutions or that it is enclosed in braces or +otherwise quoted to prevent Tcl from performing substitutions, allowing +\fBexpr\fR to perform them instead. .SH EXAMPLES .PP +A numeric comparison whose result is 1: +.CS +\fBexpr\fR {"0x03" > "2"} +.CE +.PP +A string comparison whose result is 1: +.CS +\fBexpr\fR {"0y" > "0x12"} +.CE +.PP Define a procedure that computes an .QW interesting mathematical function: @@ -444,8 +401,8 @@ each other: puts "a and b are [\fBexpr\fR {$a eq $b ? {equal} : {different}}]" .CE .PP -Set a variable to whether an environment variable is both defined at -all and also set to a true boolean value: +Set a variable indicating whether an environment variable is defined and has +value of true: .PP .CS set isTrue [\fBexpr\fR { -- cgit v0.12 From 69e7f1b52d7d59ea5b1b6cb027c8fbdc88b9d38d Mon Sep 17 00:00:00 2001 From: pooryorick Date: Wed, 5 Oct 2016 04:53:49 +0000 Subject: Fix typos in expr documentation. --- doc/expr.n | 22 +++++++++++----------- 1 file changed, 11 insertions(+), 11 deletions(-) diff --git a/doc/expr.n b/doc/expr.n index 7458129..89c982c 100644 --- a/doc/expr.n +++ b/doc/expr.n @@ -17,13 +17,13 @@ expr \- Evaluate an expression .BE .SH DESCRIPTION .PP -Concatenates \fIarg\fRs, separated by a space, into an expresion, and evaluates +Concatenates \fIarg\fRs, separated by a space, into an expression, and evaluates that expression, returning its value. The operators permitted in an expression include a subset of the operators permitted in C expressions. For those operators common to both Tcl and C, Tcl applies the same meaning and precedence as the corresponding C operators. -The value of an expressions is often a numeric result, either an integer or a +The value of an expression is often a numeric result, either an integer or a floating-point value, but may also be a non-numeric value. For example, the expression .PP @@ -33,7 +33,7 @@ For example, the expression .PP evaluates to 14.2. Expressions differ from C expressions in the way that -operands are specified. Also, expressions support +operands are specified. Expressions also support non-numeric operands, string comparisons, and some additional operators not found in C. .PP @@ -199,10 +199,10 @@ Logical OR. If both operands are false, the result is 0, or 1 otherwise. If-then-else, as in C. If \fIx\fR is false , the result is the value of \fIy\fR. Otherwise the result is the value of \fIz\fR. .PP -The exponentiation operator promotes types in the same way as the multiply -and divide operators, and the result is is the same as the result of +The exponentiation operator promotes types in the same way that the multiply +and divide operators do, and the result is is the same as the result of \fBpow\fR. -exponentiation groups right-to-left within a precedence level. Other binary +Exponentiation groups right-to-left within a precedence level. Other binary operators group left-to-right. For example, the value of .PP .CS @@ -217,9 +217,9 @@ is 0, while the value of .PP is 512. .PP -\fB&&\fR, \fB||\fR, and \fB?:\fR feature +As in C, \fB&&\fR, \fB||\fR, and \fB?:\fR feature .QW "lazy evaluation" , -just as in C, which means that operands are not evaluated if they are +which means that operands are not evaluated if they are not needed to determine the outcome. For example, in .PP .CS @@ -258,7 +258,7 @@ tcl::mathfunc::sin [\fBexpr\fR {$x+$y}] .CE .PP \fBtcl::mathfunc::sin\fR is resolved as described in -\fBNAMESPACE RESOLUTION\fR in the \fBnamespace\fR documentation. Given the +\fBNAMESPACE RESOLUTION\fR in the \fBnamespace\fR(n) documentation. Given the default value of \fBnamespace path\fR, \fB[namespace current]::tcl::mathfunc::sin\fR or \fB::tcl::mathfunc::sin\fR are the typical resolutions. @@ -288,8 +288,8 @@ Any code that relied on these implicit truncations should instead call \fBint()\fR or \fBwide()\fR, which do truncate. .PP Internal floating-point computations are -performed using the C type \fIdouble\fR. -When converting a string to floating-point, exponent overflow is +performed using the \fIdouble\fR C type. +When converting a string to floating-point value, exponent overflow is detected and results in the \fIdouble\fR value of \fBInf\fR or \fB\-Inf\fR as appropriate. Floating-point overflow and underflow are detected to the degree supported by the hardware, which is generally -- cgit v0.12 From be3376f36c02b2b317b509aed67b7751e656ecbb Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 7 Oct 2016 18:52:57 +0000 Subject: Update [string map] tests to get illustration of need for pure dict restriction up to date with ordered dicts. --- generic/tclCmdMZ.c | 2 +- tests/string.test | 4 ++++ 2 files changed, 5 insertions(+), 1 deletion(-) diff --git a/generic/tclCmdMZ.c b/generic/tclCmdMZ.c index 885a0bc..5479971 100644 --- a/generic/tclCmdMZ.c +++ b/generic/tclCmdMZ.c @@ -1873,7 +1873,7 @@ StringMapCmd( /* * This test is tricky, but has to be that way or you get other strange - * inconsistencies (see test string-10.20 for illustration why!) + * inconsistencies (see test string-10.20.1 for illustration why!) */ if (objv[objc-2]->typePtr == &tclDictType && objv[objc-2]->bytes == NULL){ diff --git a/tests/string.test b/tests/string.test index 418bc61..5fdb510 100644 --- a/tests/string.test +++ b/tests/string.test @@ -901,6 +901,10 @@ test string-10.20 {string map, dictionaries don't alter map ordering} { set map {aa X a Y} list [string map [dict create aa X a Y] aaa] [string map $map aaa] [dict size $map] [string map $map aaa] } {XY XY 2 XY} +test string-10.20.1 {string map, dictionaries don't alter map ordering} { + set map {a X b Y a Z} + list [string map [dict create a X b Y a Z] aaa] [string map $map aaa] [dict size $map] [string map $map aaa] +} {ZZZ XXX 2 XXX} test string-10.21 {string map, ABR checks} { string map {longstring foob} long } long -- cgit v0.12 From b7a3af751c2791b0659d8fde644ea66d90f58791 Mon Sep 17 00:00:00 2001 From: dkf Date: Sat, 8 Oct 2016 16:38:42 +0000 Subject: [838e99a76d] Ensure that encodings are handled with application/xml and friends. --- library/http/http.tcl | 34 +++++++++++++++++++++++++++++++++- tests/http.test | 7 +++++++ tests/httpd | 4 ++++ 3 files changed, 44 insertions(+), 1 deletion(-) diff --git a/library/http/http.tcl b/library/http/http.tcl index 4c99f62..2975f82 100644 --- a/library/http/http.tcl +++ b/library/http/http.tcl @@ -1019,7 +1019,7 @@ proc http::Event {sock token} { fconfigure $sock -translation binary if { - $state(-binary) || ![string match -nocase text* $state(type)] + $state(-binary) || [IsBinaryContentType $state(type)] } then { # Turn off conversions for non-text data set state(binary) 1 @@ -1161,6 +1161,38 @@ proc http::Event {sock token} { } } +# http::IsBinaryContentType -- +# +# Determine if the content-type means that we should definitely transfer +# the data as binary. [Bug 838e99a76d] +# +# Arguments +# type The content-type of the data. +# +# Results: +# Boolean, true if we definitely should be binary. + +proc http::IsBinaryContentType {type} { + lassign [split [string tolower $type] "/;"] major minor + if {$major eq "text"} { + return false + } + # There's a bunch of XML-as-application-format things about. See RFC 3023 + # and so on. + if {$major eq "application"} { + set minor [string trimright $minor] + if {$minor in {"xml" "xml-external-parsed-entity" "xml-dtd"}} { + return false + } + } + # Not just application/foobar+xml but also image/svg+xml, so let us not + # restrict things for now... + if {[string match "*+xml" $minor]} { + return false + } + return true +} + # http::getTextLine -- # # Get one line with the stream in blocking crlf mode diff --git a/tests/http.test b/tests/http.test index 2fc0a51..322fb36 100644 --- a/tests/http.test +++ b/tests/http.test @@ -132,6 +132,7 @@ set tail /a/b/c set url //[info hostname]:$port/a/b/c set fullurl HTTP://user:pass@[info hostname]:$port/a/b/c set binurl //[info hostname]:$port/binary +set xmlurl //[info hostname]:$port/xml set posturl //[info hostname]:$port/post set badposturl //[info hostname]:$port/droppost set authorityurl //[info hostname]:$port @@ -364,6 +365,12 @@ test http-3.31 {http::geturl fragment without path} -body { } -cleanup { catch { http::cleanup $token } } -result 200 +test http-3.32 {http::geturl application/xml is text} -body { + set token [http::geturl "$xmlurl"] + scan [http::data $token] "<%\[^>]>%c<%\[^>]>" +} -cleanup { + catch { http::cleanup $token } +} -result {test 4660 /test} test http-4.1 {http::Event} { set token [http::geturl $url -keepalive 0] diff --git a/tests/httpd b/tests/httpd index 232e80a..8753912 100644 --- a/tests/httpd +++ b/tests/httpd @@ -171,6 +171,10 @@ proc httpdRespond { sock } { set html "$bindata[info hostname]:$port$data(url)" set type application/octet-stream } + *xml* { + set html [encoding convertto utf-8 "\u1234"] + set type "application/xml;charset=UTF-8" + } *post* { set html "Got [string length $data(query)] bytes" set type text/plain -- cgit v0.12 From 853a65b021ddcacfc6bccd71160cf2fcf925aeff Mon Sep 17 00:00:00 2001 From: dkf Date: Sat, 8 Oct 2016 17:10:02 +0000 Subject: [74bc0e44f5] Document result of [http::unregister]. --- doc/http.n | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/doc/http.n b/doc/http.n index 8aeb286..c6e8983 100644 --- a/doc/http.n +++ b/doc/http.n @@ -369,7 +369,9 @@ set token [::http::geturl https://my.secure.site/] .TP \fB::http::unregister\fR \fIproto\fR This procedure unregisters a protocol handler that was previously -registered via \fB::http::register\fR. +registered via \fB::http::register\fR, returning a two-item list of +the default port and handler command that was previously installed +(via \fB::http::register\fR) if there was such a handler. .SH ERRORS The \fB::http::geturl\fR procedure will raise errors in the following cases: invalid command line options, -- cgit v0.12 From 58165211fc0567001df02564b1b06e64f66c5ab1 Mon Sep 17 00:00:00 2001 From: ferrieux Date: Sun, 9 Oct 2016 10:35:24 +0000 Subject: Be more accurate about scan's %i --- doc/scan.n | 4 +--- 1 file changed, 1 insertion(+), 3 deletions(-) diff --git a/doc/scan.n b/doc/scan.n index d963d6c..0c24fea 100644 --- a/doc/scan.n +++ b/doc/scan.n @@ -123,9 +123,7 @@ with conversion character \fBu\fR. .TP \fBi\fR . -The input substring must be an integer. The base (i.e. decimal, binary, -octal, or hexadecimal) is determined in the same fashion as described in -\fBexpr\fR. The integer value is stored in the variable, +The input substring must be an integer. The base (i.e. decimal, octal, or hexadecimal) is determined by the C convention (leading 0 for octal; prefix 0x for hexadecimal). The integer value is stored in the variable, truncated as required by the size modifier value. .TP \fBc\fR -- cgit v0.12 From e68205abcae7f231dd47d201507b33330f1406aa Mon Sep 17 00:00:00 2001 From: dkf Date: Sun, 9 Oct 2016 12:03:30 +0000 Subject: Be more accurate about scan's %i --- doc/scan.n | 4 +--- 1 file changed, 1 insertion(+), 3 deletions(-) diff --git a/doc/scan.n b/doc/scan.n index d963d6c..0c24fea 100644 --- a/doc/scan.n +++ b/doc/scan.n @@ -123,9 +123,7 @@ with conversion character \fBu\fR. .TP \fBi\fR . -The input substring must be an integer. The base (i.e. decimal, binary, -octal, or hexadecimal) is determined in the same fashion as described in -\fBexpr\fR. The integer value is stored in the variable, +The input substring must be an integer. The base (i.e. decimal, octal, or hexadecimal) is determined by the C convention (leading 0 for octal; prefix 0x for hexadecimal). The integer value is stored in the variable, truncated as required by the size modifier value. .TP \fBc\fR -- cgit v0.12 From 1c4fbbc3332e525ff1368d9ba26681d826d2efde Mon Sep 17 00:00:00 2001 From: dkf Date: Sun, 9 Oct 2016 15:21:26 +0000 Subject: [7114ac6141] Improve testing and docs of Tcl_GetInt and Tcl_GetDouble. No behaviour change. --- doc/GetInt.3 | 31 +++++++++++++++++++++++-------- tests/get.test | 22 ++++++++++++++++++++-- 2 files changed, 43 insertions(+), 10 deletions(-) diff --git a/doc/GetInt.3 b/doc/GetInt.3 index 4e9d636..3e7204c 100644 --- a/doc/GetInt.3 +++ b/doc/GetInt.3 @@ -51,27 +51,42 @@ in the interpreter's result, and nothing is stored at *\fIintPtr\fR or *\fIdoublePtr\fR or *\fIboolPtr\fR. .PP \fBTcl_GetInt\fR expects \fIsrc\fR to consist of a collection -of integer digits, optionally signed and optionally preceded by -white space. If the first two characters of \fIsrc\fR +of integer digits, optionally signed and optionally preceded and +followed by white space. If the first two characters of \fIsrc\fR after the optional white space and sign are -.QW 0x +.QW \fB0x\fR then \fIsrc\fR is expected to be in hexadecimal form; otherwise, +if the first such characters are +.QW \fB0o\fR +then \fIsrc\fR is expected to be in octal form; otherwise, +if the first such characters are +.QW \fB0b\fR +then \fIsrc\fR is expected to be in binary form; otherwise, if the first such character is -.QW 0 +.QW \fB0\fR then \fIsrc\fR is expected to be in octal form; otherwise, \fIsrc\fR is expected to be in decimal form. .PP \fBTcl_GetDouble\fR expects \fIsrc\fR to consist of a floating-point number, which is: white space; a sign; a sequence of digits; a -decimal point; a sequence of digits; the letter -.QW e ; +decimal point +.QW \fB.\fR ; +a sequence of digits; the letter +.QW \fBe\fR ; a signed decimal exponent; and more white space. Any of the fields may be omitted, except that the digits either before or after the decimal point must be present and if the -.QW e -is present then it must be followed by the exponent number. +.QW \fBe\fR +is present then it must be followed by the exponent number. If there +are no fields apart from the sign and initial sequence of digits +(i.e., no decimal point or exponent indicator), that +initial sequence of digits should take one of the forms that +\fBTcl_GetInt\fR supports, described above. The use of +.QW \fB,\fR +as a decimal point is not supported nor should any other sort of +inter-digit separator be present. .PP \fBTcl_GetBoolean\fR expects \fIsrc\fR to specify a boolean value. If \fIsrc\fR is any of \fB0\fR, \fBfalse\fR, diff --git a/tests/get.test b/tests/get.test index d51ec6d..7aa06c1 100644 --- a/tests/get.test +++ b/tests/get.test @@ -19,9 +19,10 @@ if {[lsearch [namespace children] ::tcltest] == -1} { catch [list package require -exact Tcltest [info patchlevel]] testConstraint testgetint [llength [info commands testgetint]] +testConstraint testdoubleobj [llength [info commands testdoubleobj]] testConstraint longIs32bit [expr {int(0x80000000) < 0}] testConstraint longIs64bit [expr {int(0x8000000000000000) < 0}] - + test get-1.1 {Tcl_GetInt procedure} testgetint { testgetint 44 { 22} } {66} @@ -95,7 +96,24 @@ test get-3.2 {Tcl_GetDouble(FromObj), bad numbers} { } set result } {0 1 0 1 1 {expected floating-point number but got "++1.0"} 1 {expected floating-point number but got "+-1.0"} 1 {expected floating-point number but got "-+1.0"} 0 -1 1 {expected floating-point number but got "--1.0"} 1 {expected floating-point number but got "- +1.0"}} - +# Bug 7114ac6141 +test get-3.3 {tcl_GetInt with iffy numbers} testgetint { + lmap x {0 " 0" "0 " " 0 " " 0xa " " 010 " " 0o10 " " 0b10 "} { + catch {testgetint 44 $x} x + set x + } +} {44 44 44 44 54 52 52 46} +test get-3.4 {Tcl_GetDouble with iffy numbers} testdoubleobj { + lmap x {0 0.0 " .0" ".0 " " 0e0 " "09" "- 0" "-0" "0o12" "0b10"} { + catch {testdoubleobj set 1 $x} x + set x + } +} {0.0 0.0 0.0 0.0 0.0 {expected floating-point number but got "09" (looks like invalid octal number)} {expected floating-point number but got "- 0"} 0.0 10.0 2.0} + # cleanup ::tcltest::cleanupTests return + +# Local Variables: +# mode: tcl +# End: -- cgit v0.12 From 30167250619d18f94b8b003d07734e58d8777f87 Mon Sep 17 00:00:00 2001 From: dkf Date: Sun, 9 Oct 2016 16:01:53 +0000 Subject: [62b36e326c] Noted edge case in behaviour of [concat] with empty arguments. --- doc/concat.n | 1 + 1 file changed, 1 insertion(+) diff --git a/doc/concat.n b/doc/concat.n index 252f52c..f68a06e 100644 --- a/doc/concat.n +++ b/doc/concat.n @@ -21,6 +21,7 @@ This command joins each of its arguments together with spaces after trimming leading and trailing white-space from each of them. If all the arguments are lists, this has the same effect as concatenating them into a single list. +Arguments that are empty (after trimming) are ignored entirely. It permits any number of arguments; if no \fIarg\fRs are supplied, the result is an empty string. .SH EXAMPLES -- cgit v0.12 From c20fffb1c16d1b8a7ed25de25f292df6297d176f Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 11 Oct 2016 21:35:27 +0000 Subject: Fix [3cc1d91345]: duplicate calls to TclpFreeAllocCache() on thread exists --- unix/tclUnixInit.c | 2 +- unix/tclUnixThrd.c | 7 ++++--- 2 files changed, 5 insertions(+), 4 deletions(-) diff --git a/unix/tclUnixInit.c b/unix/tclUnixInit.c index a8cd00d..a873f6e 100644 --- a/unix/tclUnixInit.c +++ b/unix/tclUnixInit.c @@ -833,7 +833,7 @@ TclpSetVariables( CFLocaleRef localeRef; - if (CFLocaleCopyCurrent != NULL && CFLocaleGetIdentifier != NULL && + if (&CFLocaleCopyCurrent != NULL && &CFLocaleGetIdentifier != NULL && (localeRef = CFLocaleCopyCurrent())) { CFStringRef locale = CFLocaleGetIdentifier(localeRef); diff --git a/unix/tclUnixThrd.c b/unix/tclUnixThrd.c index a7a294d..1841242 100644 --- a/unix/tclUnixThrd.c +++ b/unix/tclUnixThrd.c @@ -810,7 +810,8 @@ TclpFreeAllocCache( { if (ptr != NULL) { /* - * Called by the pthread lib when a thread exits + * Called by TclFinalizeThreadAllocThread() during the thread + * finalization initiated from Tcl_FinalizeThread() */ TclFreeAllocCache(ptr); @@ -818,7 +819,7 @@ TclpFreeAllocCache( } else if (initialized) { /* - * Called by us in TclFinalizeThreadAlloc() during the library + * Called by TclFinalizeThreadAlloc() during the process * finalization initiated from Tcl_Finalize() */ @@ -833,7 +834,7 @@ TclpGetAllocCache(void) if (!initialized) { pthread_mutex_lock(allocLockPtr); if (!initialized) { - pthread_key_create(&key, TclpFreeAllocCache); + pthread_key_create(&key, NULL); initialized = 1; } pthread_mutex_unlock(allocLockPtr); -- cgit v0.12 From 2b3a9ba90da9d322fea0de66b8c59427a69b4ec2 Mon Sep 17 00:00:00 2001 From: dkf Date: Wed, 12 Oct 2016 09:57:15 +0000 Subject: [74bc0e44f5] Doc tweak. --- doc/http.n | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/doc/http.n b/doc/http.n index c6e8983..26f1298 100644 --- a/doc/http.n +++ b/doc/http.n @@ -371,7 +371,8 @@ set token [::http::geturl https://my.secure.site/] This procedure unregisters a protocol handler that was previously registered via \fB::http::register\fR, returning a two-item list of the default port and handler command that was previously installed -(via \fB::http::register\fR) if there was such a handler. +(via \fB::http::register\fR) if there was such a handler, and an error if +there was no such handler. .SH ERRORS The \fB::http::geturl\fR procedure will raise errors in the following cases: invalid command line options, -- cgit v0.12 From bd297e53d9c852c7011018a23ac73ecd1ab0a76a Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 12 Oct 2016 13:31:07 +0000 Subject: [be003d570f] TclParseNumber() failed to fully implement TCL_PARSE_OCTAL_ONLY. --- generic/tclStrToD.c | 6 ++++++ 1 file changed, 6 insertions(+) diff --git a/generic/tclStrToD.c b/generic/tclStrToD.c index d05fe5d..b89ce45 100644 --- a/generic/tclStrToD.c +++ b/generic/tclStrToD.c @@ -589,6 +589,9 @@ TclParseNumber( acceptPoint = p; acceptLen = len; if (c == 'x' || c == 'X') { + if (flags & TCL_PARSE_OCTAL_ONLY) { + goto endgame; + } state = ZERO_X; break; } @@ -599,6 +602,9 @@ TclParseNumber( goto zeroo; } if (c == 'b' || c == 'B') { + if (flags & TCL_PARSE_OCTAL_ONLY) { + goto endgame; + } state = ZERO_B; break; } -- cgit v0.12 From 88bcb2bce724073d31acb1aa04d9f630b469e576 Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 12 Oct 2016 13:38:28 +0000 Subject: Add a test too. --- tests/scan.test | 3 +++ 1 file changed, 3 insertions(+) diff --git a/tests/scan.test b/tests/scan.test index 109746f..68c44b0 100644 --- a/tests/scan.test +++ b/tests/scan.test @@ -439,6 +439,9 @@ test scan-5.13 {integer scanning and overflow} { test scan-5.14 {integer scanning} { scan 0xff %u } 0 +test scan-5.15 {Bug be003d570f} { + scan 0x40 %o +} 0 test scan-6.1 {floating-point scanning} { set a {}; set b {}; set c {}; set d {} -- cgit v0.12 From 915c9e49675d816fa2018e7b3b35903264bfffb4 Mon Sep 17 00:00:00 2001 From: dgp Date: Wed, 12 Oct 2016 13:46:14 +0000 Subject: [be003d570f] TclParseNumber() failed to fully implement TCL_PARSE_BINARY_ONLY. --- generic/tclStrToD.c | 2 +- tests/scan.test | 3 +++ 2 files changed, 4 insertions(+), 1 deletion(-) diff --git a/generic/tclStrToD.c b/generic/tclStrToD.c index dc85124..6da6df3 100644 --- a/generic/tclStrToD.c +++ b/generic/tclStrToD.c @@ -630,7 +630,7 @@ TclParseNumber( acceptPoint = p; acceptLen = len; if (c == 'x' || c == 'X') { - if (flags & TCL_PARSE_OCTAL_ONLY) { + if (flags & (TCL_PARSE_OCTAL_ONLY|TCL_PARSE_BINARY_ONLY)) { goto endgame; } state = ZERO_X; diff --git a/tests/scan.test b/tests/scan.test index d814ce9..7540c9c 100644 --- a/tests/scan.test +++ b/tests/scan.test @@ -538,6 +538,9 @@ test scan-5.14 {integer scanning} { test scan-5.15 {Bug be003d570f} { scan 0x40 %o } 0 +test scan-5.16 {Bug be003d570f} { + scan 0x40 %b +} 0 test scan-6.1 {floating-point scanning} -setup { set a {}; set b {}; set c {}; set d {} -- cgit v0.12 From 61df5f46580699c45d9263e3e98a0cf3f2006672 Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 13 Oct 2016 15:37:45 +0000 Subject: Streamline the substring copying case of [string replace] bytecode execution. --- generic/tclExecute.c | 66 ++++++++++++++++++---------------------------------- 1 file changed, 23 insertions(+), 43 deletions(-) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 34d92d3..cd27f6b 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -5804,57 +5804,37 @@ TEBCresume( * Remove substring using copying. */ - if (length3 == 0) { - if (fromIdx > 0) { - objResultPtr = Tcl_NewUnicodeObj(ustring1, fromIdx); - if (toIdx < length) { - Tcl_AppendUnicodeToObj(objResultPtr, ustring1 + toIdx + 1, - length - toIdx); - } - } else { - objResultPtr = Tcl_NewUnicodeObj(ustring1 + toIdx + 1, - length - toIdx); - } - TclDecrRefCount(value3Ptr); - TRACE_APPEND(("\"%.30s\"\n", O2S(objResultPtr))); - NEXT_INST_F(1, 1, 1); - } - - /* - * Splice string pieces by full copying. - */ - + objResultPtr = NULL; if (fromIdx > 0) { objResultPtr = Tcl_NewUnicodeObj(ustring1, fromIdx); - Tcl_AppendObjToObj(objResultPtr, value3Ptr); - if (toIdx < length) { - Tcl_AppendUnicodeToObj(objResultPtr, ustring1 + toIdx + 1, - length - toIdx); + } + if (length3 > 0) { + if (objResultPtr) { + Tcl_AppendObjToObj(objResultPtr, value3Ptr); + } else if (Tcl_IsShared(value3Ptr)) { + objResultPtr = Tcl_DuplicateObj(value3Ptr); + } else { + objResultPtr = value3Ptr; } - } else if (Tcl_IsShared(value3Ptr)) { - objResultPtr = Tcl_DuplicateObj(value3Ptr); - if (toIdx < length) { + } + if (toIdx < length) { + if (objResultPtr) { Tcl_AppendUnicodeToObj(objResultPtr, ustring1 + toIdx + 1, length - toIdx); - } - } else { - /* - * Be careful with splicing the stack in this case; we have a - * refCount:1 object in value3Ptr and we want to append to it and - * make it be the refCount:1 object at the top of the stack - * afterwards. [Bug 82e7f67325] - */ - - if (toIdx < length) { - Tcl_AppendUnicodeToObj(value3Ptr, ustring1 + toIdx + 1, + } else { + objResultPtr = Tcl_NewUnicodeObj(ustring1 + toIdx + 1, length - toIdx); } - TRACE_APPEND(("\"%.30s\"\n", O2S(value3Ptr))); - TclDecrRefCount(valuePtr); - OBJ_AT_TOS = value3Ptr; /* Tricky! */ - NEXT_INST_F(1, 0, 0); } - TclDecrRefCount(value3Ptr); + if (objResultPtr == NULL) { + /* This has to be the case [string replace $s 0 end {}] */ + /* which has result {} which is same as value3Ptr. */ + objResultPtr = value3Ptr; + } + if (objResultPtr != value3Ptr) { + /* See [Bug 82e7f67325] */ + TclDecrRefCount(value3Ptr); + } TRACE_APPEND(("\"%.30s\"\n", O2S(objResultPtr))); NEXT_INST_F(1, 1, 1); -- cgit v0.12 From dca9bb39489c9c228b3c1ccc6019e3cee3699c7a Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 13 Oct 2016 16:43:05 +0000 Subject: Stop invading the String internals to work around a bug. Fix it instead. --- generic/tclExecute.c | 13 ------------- generic/tclStringObj.c | 10 ++++++++++ 2 files changed, 10 insertions(+), 13 deletions(-) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index cd27f6b..56e3f72 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -19,7 +19,6 @@ #include "tclCompile.h" #include "tclOOInt.h" #include "tommath.h" -#include "tclStringRep.h" #include #include @@ -5744,16 +5743,6 @@ TEBCresume( if (length3 - 1 == toIdx - fromIdx) { unsigned char *bytes1, *bytes2; - /* - * Flush the info in the string internal rep that refers to the - * about-to-be-invalidated UTF-8 rep. This indicates that a new - * buffer needs to be allocated, and assumes that the value is - * already of tclStringTypePtr type, which should be true provided - * we call it after Tcl_GetUnicodeFromObj. - */ -#define MarkStringInternalRepForFlush(objPtr) \ - (GET_STRING(objPtr)->allocated = 0) - if (Tcl_IsShared(valuePtr)) { objResultPtr = Tcl_DuplicateObj(valuePtr); if (TclIsPureByteArray(objResultPtr) @@ -5766,7 +5755,6 @@ TEBCresume( ustring2 = Tcl_GetUnicodeFromObj(value3Ptr, NULL); memcpy(ustring1 + fromIdx, ustring2, length3 * sizeof(Tcl_UniChar)); - MarkStringInternalRepForFlush(objResultPtr); } Tcl_InvalidateStringRep(objResultPtr); TclDecrRefCount(value3Ptr); @@ -5783,7 +5771,6 @@ TEBCresume( ustring2 = Tcl_GetUnicodeFromObj(value3Ptr, NULL); memcpy(ustring1 + fromIdx, ustring2, length3 * sizeof(Tcl_UniChar)); - MarkStringInternalRepForFlush(valuePtr); } Tcl_InvalidateStringRep(valuePtr); TclDecrRefCount(value3Ptr); diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index 11a57e9..60b08ae 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -3025,6 +3025,16 @@ UpdateStringOfString( { String *stringPtr = GET_STRING(objPtr); + /* + * This routine is only called when we need to generate the + * string rep objPtr->bytes because it does not exist -- it is NULL. + * In that circumstance, any lingering claim about the size of + * memory pointed to by that NULL pointer is clearly bogus, and + * needs a reset. + */ + + stringPtr->allocated = 0; + if (stringPtr->numChars == 0) { TclInitStringRep(objPtr, tclEmptyStringRep, 0); } else { -- cgit v0.12 From 23b011c32d44c8182e0a04316704b590bd2920dd Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 13 Oct 2016 16:50:06 +0000 Subject: Another streamline. --- generic/tclExecute.c | 48 +++++++++++++++++++----------------------------- 1 file changed, 19 insertions(+), 29 deletions(-) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 56e3f72..e7ff8dc 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -5745,37 +5745,27 @@ TEBCresume( if (Tcl_IsShared(valuePtr)) { objResultPtr = Tcl_DuplicateObj(valuePtr); - if (TclIsPureByteArray(objResultPtr) - && TclIsPureByteArray(value3Ptr)) { - bytes1 = Tcl_GetByteArrayFromObj(objResultPtr, NULL); - bytes2 = Tcl_GetByteArrayFromObj(value3Ptr, NULL); - memcpy(bytes1 + fromIdx, bytes2, length3); - } else { - ustring1 = Tcl_GetUnicodeFromObj(objResultPtr, NULL); - ustring2 = Tcl_GetUnicodeFromObj(value3Ptr, NULL); - memcpy(ustring1 + fromIdx, ustring2, - length3 * sizeof(Tcl_UniChar)); - } - Tcl_InvalidateStringRep(objResultPtr); - TclDecrRefCount(value3Ptr); - TRACE_APPEND(("\"%.30s\"\n", O2S(objResultPtr))); - NEXT_INST_F(1, 1, 1); } else { - if (TclIsPureByteArray(valuePtr) - && TclIsPureByteArray(value3Ptr)) { - bytes1 = Tcl_GetByteArrayFromObj(valuePtr, NULL); - bytes2 = Tcl_GetByteArrayFromObj(value3Ptr, NULL); - memcpy(bytes1 + fromIdx, bytes2, length3); - } else { - ustring1 = Tcl_GetUnicodeFromObj(valuePtr, NULL); - ustring2 = Tcl_GetUnicodeFromObj(value3Ptr, NULL); - memcpy(ustring1 + fromIdx, ustring2, - length3 * sizeof(Tcl_UniChar)); - } - Tcl_InvalidateStringRep(valuePtr); - TclDecrRefCount(value3Ptr); - TRACE_APPEND(("\"%.30s\"\n", O2S(valuePtr))); + objResultPtr = valuePtr; + } + if (TclIsPureByteArray(objResultPtr) + && TclIsPureByteArray(value3Ptr)) { + bytes1 = Tcl_GetByteArrayFromObj(objResultPtr, NULL); + bytes2 = Tcl_GetByteArrayFromObj(value3Ptr, NULL); + memcpy(bytes1 + fromIdx, bytes2, length3); + } else { + ustring1 = Tcl_GetUnicodeFromObj(objResultPtr, NULL); + ustring2 = Tcl_GetUnicodeFromObj(value3Ptr, NULL); + memcpy(ustring1 + fromIdx, ustring2, + length3 * sizeof(Tcl_UniChar)); + } + Tcl_InvalidateStringRep(objResultPtr); + TclDecrRefCount(value3Ptr); + TRACE_APPEND(("\"%.30s\"\n", O2S(objResultPtr))); + if (objResultPtr == valuePtr) { NEXT_INST_F(1, 0, 0); + } else { + NEXT_INST_F(1, 1, 1); } } -- cgit v0.12 From d3c6e22da28dddf8b1f028900647c9221ffcd64a Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 14 Oct 2016 19:28:46 +0000 Subject: [eb6b68c1a9] Simple fix for [string replace] error demonstrated by new test. --- generic/tclExecute.c | 11 ----------- tests/stringComp.test | 3 +++ 2 files changed, 3 insertions(+), 11 deletions(-) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index e7ff8dc..2ab0277 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -5724,17 +5724,6 @@ TEBCresume( length3 = Tcl_GetCharLength(value3Ptr); /* - * Remove substring. In-place. - */ - - if (length3 == 0 && !Tcl_IsShared(valuePtr) && toIdx == length) { - TclDecrRefCount(value3Ptr); - Tcl_SetObjLength(valuePtr, fromIdx); - TRACE_APPEND(("\"%.30s\"\n", O2S(valuePtr))); - NEXT_INST_F(1, 0, 0); - } - - /* * See if we can splice in place. This happens when the number of * characters being replaced is the same as the number of characters * in the string to be inserted. diff --git a/tests/stringComp.test b/tests/stringComp.test index 140a270..2aeb08e 100644 --- a/tests/stringComp.test +++ b/tests/stringComp.test @@ -738,6 +738,9 @@ test stringComp-14.4 {Bug 1af8de570511} { string replace $val[unset val] 1 1 $y }} 4 x } 0x00 +test stringComp-14.5 {} { + string length [string replace [string repeat a\u00fe 2] 3 end {}] +} 3 ## string tolower ## not yet bc -- cgit v0.12 From 2f570b44ce96781099a36c1e8a084cb69cb4862f Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 18 Oct 2016 19:16:35 +0000 Subject: Use memcmp where possible. --- generic/tclCmdMZ.c | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/generic/tclCmdMZ.c b/generic/tclCmdMZ.c index 5479971..591e31c 100644 --- a/generic/tclCmdMZ.c +++ b/generic/tclCmdMZ.c @@ -1242,8 +1242,8 @@ StringFirstCmd( * Scan forward to find the first character. */ - if ((*p == *needleStr) && (TclUniCharNcmp(needleStr, p, - (unsigned long) needleLen) == 0)) { + if ((*p == *needleStr) && (memcmp(needleStr, p, + sizeof(Tcl_UniChar) * (size_t)needleLen) == 0)) { match = p - haystackStr; break; } -- cgit v0.12 From d7ad9bc43170b443a5c667ad0338873cebda5ced Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 20 Oct 2016 17:54:47 +0000 Subject: EVIL HACKs are bad. Unnecessary ones are intolerable. Bad tests cause trouble. --- generic/tclCompCmds.c | 11 ----------- tests/format.test | 7 +++++-- 2 files changed, 5 insertions(+), 13 deletions(-) diff --git a/generic/tclCompCmds.c b/generic/tclCompCmds.c index 3ab03cc..7dba232 100644 --- a/generic/tclCompCmds.c +++ b/generic/tclCompCmds.c @@ -3206,17 +3206,6 @@ TclCompileFormatCmd( */ TclEmitInstInt1(INST_STR_CONCAT1, i, envPtr); - } else { - /* - * EVIL HACK! Force there to be a string representation in the case - * where there's just a "%s" in the format; case covered by the test - * format-20.1 (and it is horrible...) - */ - - TclEmitOpcode(INST_DUP, envPtr); - PushStringLiteral(envPtr, ""); - TclEmitOpcode(INST_STR_EQ, envPtr); - TclEmitOpcode(INST_POP, envPtr); } return TCL_OK; } diff --git a/tests/format.test b/tests/format.test index 27eac31..e199398 100644 --- a/tests/format.test +++ b/tests/format.test @@ -564,9 +564,12 @@ test format-19.3 {Bug 2830354} { test format-20.1 {Bug 2932421: plain %s caused intrep change of args} -body { set x [dict create a b c d] format %s $x - # After this, obj in $x should be a dict with a non-NULL bytes field + # After this, obj in $x should be a dict + # We are testing to make sure it has not been shimmered to a + # different intrep when that is not necessary. + # Whether or not there is a string rep - we should not care! tcl::unsupported::representation $x -} -match glob -result {value is a dict with *, string representation "*"} +} -match glob -result {value is a dict *} # cleanup catch {unset a} -- cgit v0.12 From 2ab238514bcdab640de8b1805337200932e2cd79 Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 20 Oct 2016 20:02:19 +0000 Subject: Repair recently opened memleak. --- generic/tclExecute.c | 8 ++++++-- 1 file changed, 6 insertions(+), 2 deletions(-) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 2ab0277..b9ef582 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -5797,10 +5797,14 @@ TEBCresume( /* which has result {} which is same as value3Ptr. */ objResultPtr = value3Ptr; } - if (objResultPtr != value3Ptr) { + if (objResultPtr == value3Ptr) { /* See [Bug 82e7f67325] */ - TclDecrRefCount(value3Ptr); + TclDecrRefCount(OBJ_AT_TOS); + OBJ_AT_TOS = value3Ptr; + TRACE_APPEND(("\"%.30s\"\n", O2S(value3Ptr))); + NEXT_INST_F(1, 0, 0); } + TclDecrRefCount(value3Ptr); TRACE_APPEND(("\"%.30s\"\n", O2S(objResultPtr))); NEXT_INST_F(1, 1, 1); -- cgit v0.12 From 84a8c8047b4c22b4b2ff8db0695a568676068ada Mon Sep 17 00:00:00 2001 From: venkat Date: Wed, 26 Oct 2016 08:03:17 +0000 Subject: Update timezone data to tzdata2016h from IETF --- library/tzdata/Asia/Colombo | 14 ++-- library/tzdata/Asia/Gaza | 168 ++++++++++++++++++++--------------------- library/tzdata/Asia/Hebron | 168 ++++++++++++++++++++--------------------- library/tzdata/Europe/Istanbul | 22 +++--- 4 files changed, 186 insertions(+), 186 deletions(-) diff --git a/library/tzdata/Asia/Colombo b/library/tzdata/Asia/Colombo index ca7bffc..7a14a9b 100644 --- a/library/tzdata/Asia/Colombo +++ b/library/tzdata/Asia/Colombo @@ -3,11 +3,11 @@ set TZData(:Asia/Colombo) { {-9223372036854775808 19164 0 LMT} {-2840159964 19172 0 MMT} - {-2019705572 19800 0 IST} - {-883287000 21600 1 IHST} - {-862639200 23400 1 IST} - {-764051400 19800 0 IST} - {832962600 23400 0 LKT} - {846266400 21600 0 LKT} - {1145039400 19800 0 IST} + {-2019705572 19800 0 +0530} + {-883287000 21600 1 +06} + {-862639200 23400 1 +0630} + {-764051400 19800 0 +0530} + {832962600 23400 0 +0630} + {846266400 21600 0 +06} + {1145039400 19800 0 +0530} } diff --git a/library/tzdata/Asia/Gaza b/library/tzdata/Asia/Gaza index 6adfe6d..ab53317 100644 --- a/library/tzdata/Asia/Gaza +++ b/library/tzdata/Asia/Gaza @@ -108,171 +108,171 @@ set TZData(:Asia/Gaza) { {1427493600 10800 1 EEST} {1445547600 7200 0 EET} {1458946800 10800 1 EEST} - {1476997200 7200 0 EET} + {1477692000 7200 0 EET} {1490396400 10800 1 EEST} - {1509051600 7200 0 EET} + {1509141600 7200 0 EET} {1522450800 10800 1 EEST} - {1540501200 7200 0 EET} + {1540591200 7200 0 EET} {1553900400 10800 1 EEST} - {1571950800 7200 0 EET} + {1572040800 7200 0 EET} {1585350000 10800 1 EEST} - {1603400400 7200 0 EET} + {1604095200 7200 0 EET} {1616799600 10800 1 EEST} - {1634850000 7200 0 EET} + {1635544800 7200 0 EET} {1648249200 10800 1 EEST} - {1666299600 7200 0 EET} + {1666994400 7200 0 EET} {1679698800 10800 1 EEST} - {1698354000 7200 0 EET} + {1698444000 7200 0 EET} {1711753200 10800 1 EEST} - {1729803600 7200 0 EET} + {1729893600 7200 0 EET} {1743202800 10800 1 EEST} - {1761253200 7200 0 EET} + {1761343200 7200 0 EET} {1774652400 10800 1 EEST} - {1792702800 7200 0 EET} + {1793397600 7200 0 EET} {1806102000 10800 1 EEST} - {1824152400 7200 0 EET} + {1824847200 7200 0 EET} {1837551600 10800 1 EEST} - {1856206800 7200 0 EET} + {1856296800 7200 0 EET} {1869606000 10800 1 EEST} - {1887656400 7200 0 EET} + {1887746400 7200 0 EET} {1901055600 10800 1 EEST} - {1919106000 7200 0 EET} + {1919196000 7200 0 EET} {1932505200 10800 1 EEST} - {1950555600 7200 0 EET} + {1950645600 7200 0 EET} {1963954800 10800 1 EEST} - {1982005200 7200 0 EET} + {1982700000 7200 0 EET} {1995404400 10800 1 EEST} - {2013454800 7200 0 EET} + {2014149600 7200 0 EET} {2026854000 10800 1 EEST} - {2045509200 7200 0 EET} + {2045599200 7200 0 EET} {2058908400 10800 1 EEST} - {2076958800 7200 0 EET} + {2077048800 7200 0 EET} {2090358000 10800 1 EEST} - {2108408400 7200 0 EET} + {2108498400 7200 0 EET} {2121807600 10800 1 EEST} - {2139858000 7200 0 EET} + {2140552800 7200 0 EET} {2153257200 10800 1 EEST} - {2171307600 7200 0 EET} + {2172002400 7200 0 EET} {2184706800 10800 1 EEST} - {2202757200 7200 0 EET} + {2203452000 7200 0 EET} {2216761200 10800 1 EEST} - {2234811600 7200 0 EET} + {2234901600 7200 0 EET} {2248210800 10800 1 EEST} - {2266261200 7200 0 EET} + {2266351200 7200 0 EET} {2279660400 10800 1 EEST} - {2297710800 7200 0 EET} + {2297800800 7200 0 EET} {2311110000 10800 1 EEST} - {2329160400 7200 0 EET} + {2329855200 7200 0 EET} {2342559600 10800 1 EEST} - {2360610000 7200 0 EET} + {2361304800 7200 0 EET} {2374009200 10800 1 EEST} - {2392664400 7200 0 EET} + {2392754400 7200 0 EET} {2406063600 10800 1 EEST} - {2424114000 7200 0 EET} + {2424204000 7200 0 EET} {2437513200 10800 1 EEST} - {2455563600 7200 0 EET} + {2455653600 7200 0 EET} {2468962800 10800 1 EEST} - {2487013200 7200 0 EET} + {2487708000 7200 0 EET} {2500412400 10800 1 EEST} - {2518462800 7200 0 EET} + {2519157600 7200 0 EET} {2531862000 10800 1 EEST} - {2549912400 7200 0 EET} + {2550607200 7200 0 EET} {2563311600 10800 1 EEST} - {2581966800 7200 0 EET} + {2582056800 7200 0 EET} {2595366000 10800 1 EEST} - {2613416400 7200 0 EET} + {2613506400 7200 0 EET} {2626815600 10800 1 EEST} - {2644866000 7200 0 EET} + {2644956000 7200 0 EET} {2658265200 10800 1 EEST} - {2676315600 7200 0 EET} + {2677010400 7200 0 EET} {2689714800 10800 1 EEST} - {2707765200 7200 0 EET} + {2708460000 7200 0 EET} {2721164400 10800 1 EEST} - {2739819600 7200 0 EET} + {2739909600 7200 0 EET} {2753218800 10800 1 EEST} - {2771269200 7200 0 EET} + {2771359200 7200 0 EET} {2784668400 10800 1 EEST} - {2802718800 7200 0 EET} + {2802808800 7200 0 EET} {2816118000 10800 1 EEST} - {2834168400 7200 0 EET} + {2834258400 7200 0 EET} {2847567600 10800 1 EEST} - {2865618000 7200 0 EET} + {2866312800 7200 0 EET} {2879017200 10800 1 EEST} - {2897067600 7200 0 EET} + {2897762400 7200 0 EET} {2910466800 10800 1 EEST} - {2929122000 7200 0 EET} + {2929212000 7200 0 EET} {2942521200 10800 1 EEST} - {2960571600 7200 0 EET} + {2960661600 7200 0 EET} {2973970800 10800 1 EEST} - {2992021200 7200 0 EET} + {2992111200 7200 0 EET} {3005420400 10800 1 EEST} - {3023470800 7200 0 EET} + {3024165600 7200 0 EET} {3036870000 10800 1 EEST} - {3054920400 7200 0 EET} + {3055615200 7200 0 EET} {3068319600 10800 1 EEST} - {3086370000 7200 0 EET} + {3087064800 7200 0 EET} {3100374000 10800 1 EEST} - {3118424400 7200 0 EET} + {3118514400 7200 0 EET} {3131823600 10800 1 EEST} - {3149874000 7200 0 EET} + {3149964000 7200 0 EET} {3163273200 10800 1 EEST} - {3181323600 7200 0 EET} + {3181413600 7200 0 EET} {3194722800 10800 1 EEST} - {3212773200 7200 0 EET} + {3213468000 7200 0 EET} {3226172400 10800 1 EEST} - {3244222800 7200 0 EET} + {3244917600 7200 0 EET} {3257622000 10800 1 EEST} - {3276277200 7200 0 EET} + {3276367200 7200 0 EET} {3289676400 10800 1 EEST} - {3307726800 7200 0 EET} + {3307816800 7200 0 EET} {3321126000 10800 1 EEST} - {3339176400 7200 0 EET} + {3339266400 7200 0 EET} {3352575600 10800 1 EEST} - {3370626000 7200 0 EET} + {3371320800 7200 0 EET} {3384025200 10800 1 EEST} - {3402075600 7200 0 EET} + {3402770400 7200 0 EET} {3415474800 10800 1 EEST} - {3433525200 7200 0 EET} + {3434220000 7200 0 EET} {3446924400 10800 1 EEST} - {3465579600 7200 0 EET} + {3465669600 7200 0 EET} {3478978800 10800 1 EEST} - {3497029200 7200 0 EET} + {3497119200 7200 0 EET} {3510428400 10800 1 EEST} - {3528478800 7200 0 EET} + {3528568800 7200 0 EET} {3541878000 10800 1 EEST} - {3559928400 7200 0 EET} + {3560623200 7200 0 EET} {3573327600 10800 1 EEST} - {3591378000 7200 0 EET} + {3592072800 7200 0 EET} {3604777200 10800 1 EEST} - {3623432400 7200 0 EET} + {3623522400 7200 0 EET} {3636831600 10800 1 EEST} - {3654882000 7200 0 EET} + {3654972000 7200 0 EET} {3668281200 10800 1 EEST} - {3686331600 7200 0 EET} + {3686421600 7200 0 EET} {3699730800 10800 1 EEST} - {3717781200 7200 0 EET} + {3717871200 7200 0 EET} {3731180400 10800 1 EEST} - {3749230800 7200 0 EET} + {3749925600 7200 0 EET} {3762630000 10800 1 EEST} - {3780680400 7200 0 EET} + {3781375200 7200 0 EET} {3794079600 10800 1 EEST} - {3812734800 7200 0 EET} + {3812824800 7200 0 EET} {3826134000 10800 1 EEST} - {3844184400 7200 0 EET} + {3844274400 7200 0 EET} {3857583600 10800 1 EEST} - {3875634000 7200 0 EET} + {3875724000 7200 0 EET} {3889033200 10800 1 EEST} - {3907083600 7200 0 EET} + {3907778400 7200 0 EET} {3920482800 10800 1 EEST} - {3938533200 7200 0 EET} + {3939228000 7200 0 EET} {3951932400 10800 1 EEST} - {3969982800 7200 0 EET} + {3970677600 7200 0 EET} {3983986800 10800 1 EEST} - {4002037200 7200 0 EET} + {4002127200 7200 0 EET} {4015436400 10800 1 EEST} - {4033486800 7200 0 EET} + {4033576800 7200 0 EET} {4046886000 10800 1 EEST} - {4064936400 7200 0 EET} + {4065026400 7200 0 EET} {4078335600 10800 1 EEST} - {4096386000 7200 0 EET} + {4097080800 7200 0 EET} } diff --git a/library/tzdata/Asia/Hebron b/library/tzdata/Asia/Hebron index 2db45f2..c9f94f2 100644 --- a/library/tzdata/Asia/Hebron +++ b/library/tzdata/Asia/Hebron @@ -107,171 +107,171 @@ set TZData(:Asia/Hebron) { {1427493600 10800 1 EEST} {1445547600 7200 0 EET} {1458946800 10800 1 EEST} - {1476997200 7200 0 EET} + {1477692000 7200 0 EET} {1490396400 10800 1 EEST} - {1509051600 7200 0 EET} + {1509141600 7200 0 EET} {1522450800 10800 1 EEST} - {1540501200 7200 0 EET} + {1540591200 7200 0 EET} {1553900400 10800 1 EEST} - {1571950800 7200 0 EET} + {1572040800 7200 0 EET} {1585350000 10800 1 EEST} - {1603400400 7200 0 EET} + {1604095200 7200 0 EET} {1616799600 10800 1 EEST} - {1634850000 7200 0 EET} + {1635544800 7200 0 EET} {1648249200 10800 1 EEST} - {1666299600 7200 0 EET} + {1666994400 7200 0 EET} {1679698800 10800 1 EEST} - {1698354000 7200 0 EET} + {1698444000 7200 0 EET} {1711753200 10800 1 EEST} - {1729803600 7200 0 EET} + {1729893600 7200 0 EET} {1743202800 10800 1 EEST} - {1761253200 7200 0 EET} + {1761343200 7200 0 EET} {1774652400 10800 1 EEST} - {1792702800 7200 0 EET} + {1793397600 7200 0 EET} {1806102000 10800 1 EEST} - {1824152400 7200 0 EET} + {1824847200 7200 0 EET} {1837551600 10800 1 EEST} - {1856206800 7200 0 EET} + {1856296800 7200 0 EET} {1869606000 10800 1 EEST} - {1887656400 7200 0 EET} + {1887746400 7200 0 EET} {1901055600 10800 1 EEST} - {1919106000 7200 0 EET} + {1919196000 7200 0 EET} {1932505200 10800 1 EEST} - {1950555600 7200 0 EET} + {1950645600 7200 0 EET} {1963954800 10800 1 EEST} - {1982005200 7200 0 EET} + {1982700000 7200 0 EET} {1995404400 10800 1 EEST} - {2013454800 7200 0 EET} + {2014149600 7200 0 EET} {2026854000 10800 1 EEST} - {2045509200 7200 0 EET} + {2045599200 7200 0 EET} {2058908400 10800 1 EEST} - {2076958800 7200 0 EET} + {2077048800 7200 0 EET} {2090358000 10800 1 EEST} - {2108408400 7200 0 EET} + {2108498400 7200 0 EET} {2121807600 10800 1 EEST} - {2139858000 7200 0 EET} + {2140552800 7200 0 EET} {2153257200 10800 1 EEST} - {2171307600 7200 0 EET} + {2172002400 7200 0 EET} {2184706800 10800 1 EEST} - {2202757200 7200 0 EET} + {2203452000 7200 0 EET} {2216761200 10800 1 EEST} - {2234811600 7200 0 EET} + {2234901600 7200 0 EET} {2248210800 10800 1 EEST} - {2266261200 7200 0 EET} + {2266351200 7200 0 EET} {2279660400 10800 1 EEST} - {2297710800 7200 0 EET} + {2297800800 7200 0 EET} {2311110000 10800 1 EEST} - {2329160400 7200 0 EET} + {2329855200 7200 0 EET} {2342559600 10800 1 EEST} - {2360610000 7200 0 EET} + {2361304800 7200 0 EET} {2374009200 10800 1 EEST} - {2392664400 7200 0 EET} + {2392754400 7200 0 EET} {2406063600 10800 1 EEST} - {2424114000 7200 0 EET} + {2424204000 7200 0 EET} {2437513200 10800 1 EEST} - {2455563600 7200 0 EET} + {2455653600 7200 0 EET} {2468962800 10800 1 EEST} - {2487013200 7200 0 EET} + {2487708000 7200 0 EET} {2500412400 10800 1 EEST} - {2518462800 7200 0 EET} + {2519157600 7200 0 EET} {2531862000 10800 1 EEST} - {2549912400 7200 0 EET} + {2550607200 7200 0 EET} {2563311600 10800 1 EEST} - {2581966800 7200 0 EET} + {2582056800 7200 0 EET} {2595366000 10800 1 EEST} - {2613416400 7200 0 EET} + {2613506400 7200 0 EET} {2626815600 10800 1 EEST} - {2644866000 7200 0 EET} + {2644956000 7200 0 EET} {2658265200 10800 1 EEST} - {2676315600 7200 0 EET} + {2677010400 7200 0 EET} {2689714800 10800 1 EEST} - {2707765200 7200 0 EET} + {2708460000 7200 0 EET} {2721164400 10800 1 EEST} - {2739819600 7200 0 EET} + {2739909600 7200 0 EET} {2753218800 10800 1 EEST} - {2771269200 7200 0 EET} + {2771359200 7200 0 EET} {2784668400 10800 1 EEST} - {2802718800 7200 0 EET} + {2802808800 7200 0 EET} {2816118000 10800 1 EEST} - {2834168400 7200 0 EET} + {2834258400 7200 0 EET} {2847567600 10800 1 EEST} - {2865618000 7200 0 EET} + {2866312800 7200 0 EET} {2879017200 10800 1 EEST} - {2897067600 7200 0 EET} + {2897762400 7200 0 EET} {2910466800 10800 1 EEST} - {2929122000 7200 0 EET} + {2929212000 7200 0 EET} {2942521200 10800 1 EEST} - {2960571600 7200 0 EET} + {2960661600 7200 0 EET} {2973970800 10800 1 EEST} - {2992021200 7200 0 EET} + {2992111200 7200 0 EET} {3005420400 10800 1 EEST} - {3023470800 7200 0 EET} + {3024165600 7200 0 EET} {3036870000 10800 1 EEST} - {3054920400 7200 0 EET} + {3055615200 7200 0 EET} {3068319600 10800 1 EEST} - {3086370000 7200 0 EET} + {3087064800 7200 0 EET} {3100374000 10800 1 EEST} - {3118424400 7200 0 EET} + {3118514400 7200 0 EET} {3131823600 10800 1 EEST} - {3149874000 7200 0 EET} + {3149964000 7200 0 EET} {3163273200 10800 1 EEST} - {3181323600 7200 0 EET} + {3181413600 7200 0 EET} {3194722800 10800 1 EEST} - {3212773200 7200 0 EET} + {3213468000 7200 0 EET} {3226172400 10800 1 EEST} - {3244222800 7200 0 EET} + {3244917600 7200 0 EET} {3257622000 10800 1 EEST} - {3276277200 7200 0 EET} + {3276367200 7200 0 EET} {3289676400 10800 1 EEST} - {3307726800 7200 0 EET} + {3307816800 7200 0 EET} {3321126000 10800 1 EEST} - {3339176400 7200 0 EET} + {3339266400 7200 0 EET} {3352575600 10800 1 EEST} - {3370626000 7200 0 EET} + {3371320800 7200 0 EET} {3384025200 10800 1 EEST} - {3402075600 7200 0 EET} + {3402770400 7200 0 EET} {3415474800 10800 1 EEST} - {3433525200 7200 0 EET} + {3434220000 7200 0 EET} {3446924400 10800 1 EEST} - {3465579600 7200 0 EET} + {3465669600 7200 0 EET} {3478978800 10800 1 EEST} - {3497029200 7200 0 EET} + {3497119200 7200 0 EET} {3510428400 10800 1 EEST} - {3528478800 7200 0 EET} + {3528568800 7200 0 EET} {3541878000 10800 1 EEST} - {3559928400 7200 0 EET} + {3560623200 7200 0 EET} {3573327600 10800 1 EEST} - {3591378000 7200 0 EET} + {3592072800 7200 0 EET} {3604777200 10800 1 EEST} - {3623432400 7200 0 EET} + {3623522400 7200 0 EET} {3636831600 10800 1 EEST} - {3654882000 7200 0 EET} + {3654972000 7200 0 EET} {3668281200 10800 1 EEST} - {3686331600 7200 0 EET} + {3686421600 7200 0 EET} {3699730800 10800 1 EEST} - {3717781200 7200 0 EET} + {3717871200 7200 0 EET} {3731180400 10800 1 EEST} - {3749230800 7200 0 EET} + {3749925600 7200 0 EET} {3762630000 10800 1 EEST} - {3780680400 7200 0 EET} + {3781375200 7200 0 EET} {3794079600 10800 1 EEST} - {3812734800 7200 0 EET} + {3812824800 7200 0 EET} {3826134000 10800 1 EEST} - {3844184400 7200 0 EET} + {3844274400 7200 0 EET} {3857583600 10800 1 EEST} - {3875634000 7200 0 EET} + {3875724000 7200 0 EET} {3889033200 10800 1 EEST} - {3907083600 7200 0 EET} + {3907778400 7200 0 EET} {3920482800 10800 1 EEST} - {3938533200 7200 0 EET} + {3939228000 7200 0 EET} {3951932400 10800 1 EEST} - {3969982800 7200 0 EET} + {3970677600 7200 0 EET} {3983986800 10800 1 EEST} - {4002037200 7200 0 EET} + {4002127200 7200 0 EET} {4015436400 10800 1 EEST} - {4033486800 7200 0 EET} + {4033576800 7200 0 EET} {4046886000 10800 1 EEST} - {4064936400 7200 0 EET} + {4065026400 7200 0 EET} {4078335600 10800 1 EEST} - {4096386000 7200 0 EET} + {4097080800 7200 0 EET} } diff --git a/library/tzdata/Europe/Istanbul b/library/tzdata/Europe/Istanbul index f7b0c24..d00533f 100644 --- a/library/tzdata/Europe/Istanbul +++ b/library/tzdata/Europe/Istanbul @@ -71,23 +71,23 @@ set TZData(:Europe/Istanbul) { {482792400 7200 0 EET} {482796000 10800 1 EEST} {496702800 7200 0 EET} - {512524800 10800 1 EEST} - {528249600 7200 0 EET} - {543974400 10800 1 EEST} - {559699200 7200 0 EET} - {575424000 10800 1 EEST} - {591148800 7200 0 EET} - {606873600 10800 1 EEST} - {622598400 7200 0 EET} - {638323200 10800 1 EEST} - {654652800 7200 0 EET} + {512521200 10800 1 EEST} + {528246000 7200 0 EET} + {543970800 10800 1 EEST} + {559695600 7200 0 EET} + {575420400 10800 1 EEST} + {591145200 7200 0 EET} + {606870000 10800 1 EEST} + {622594800 7200 0 EET} + {638319600 10800 1 EEST} + {654649200 7200 0 EET} {670374000 10800 1 EEST} {686098800 7200 0 EET} {701823600 10800 1 EEST} {717548400 7200 0 EET} {733273200 10800 1 EEST} {748998000 7200 0 EET} - {764722800 10800 1 EEST} + {764118000 10800 1 EEST} {780447600 7200 0 EET} {796172400 10800 1 EEST} {811897200 7200 0 EET} -- cgit v0.12 From ec332750d28a86537a3fc721decc3bb74d850dc9 Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 27 Oct 2016 19:39:49 +0000 Subject: Start bringing all `string cat` operations into one place so it can be coded correctly one time instead of badly multiple times. --- generic/tclCmdMZ.c | 17 ++++++++--------- generic/tclInt.h | 2 ++ generic/tclStringObj.c | 40 ++++++++++++++++++++++++++++++++++++++++ 3 files changed, 50 insertions(+), 9 deletions(-) diff --git a/generic/tclCmdMZ.c b/generic/tclCmdMZ.c index 591e31c..1a08674 100644 --- a/generic/tclCmdMZ.c +++ b/generic/tclCmdMZ.c @@ -2855,7 +2855,7 @@ StringCatCmd( int objc, /* Number of arguments. */ Tcl_Obj *const objv[]) /* Argument objects. */ { - int i; + int code; Tcl_Obj *objResultPtr; if (objc < 2) { @@ -2872,16 +2872,15 @@ StringCatCmd( Tcl_SetObjResult(interp, objv[1]); return TCL_OK; } - objResultPtr = objv[1]; - if (Tcl_IsShared(objResultPtr)) { - objResultPtr = Tcl_DuplicateObj(objResultPtr); - } - for(i = 2;i < objc;i++) { - Tcl_AppendObjToObj(objResultPtr, objv[i]); + + code = TclStringCatObjv(interp, objc-1, objv+1, &objResultPtr); + + if (code == TCL_OK) { + Tcl_SetObjResult(interp, objResultPtr); + return TCL_OK; } - Tcl_SetObjResult(interp, objResultPtr); - return TCL_OK; + return code; } /* diff --git a/generic/tclInt.h b/generic/tclInt.h index da1b5c5..36c1a81 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -3135,6 +3135,8 @@ MODULE_SCOPE void TclSpellFix(Tcl_Interp *interp, Tcl_Obj *bad, Tcl_Obj *fix); MODULE_SCOPE void * TclStackRealloc(Tcl_Interp *interp, void *ptr, int numBytes); +MODULE_SCOPE int TclStringCatObjv(Tcl_Interp *interp, int objc, + Tcl_Obj *const objv[], Tcl_Obj **objPtrPtr); MODULE_SCOPE int TclStringMatch(const char *str, int strLen, const char *pattern, int ptnLen, int flags); MODULE_SCOPE int TclStringMatchObj(Tcl_Obj *stringObj, diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index 2930fa1..1828d20 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2598,6 +2598,46 @@ TclGetStringStorage( *sizePtr = stringPtr->allocated; return objPtr->bytes; } + +/* + *--------------------------------------------------------------------------- + * + * TclStringCatObjv -- + * + * Performs the [string cat] function. + * + * Results: + * A standard Tcl result. + * + * Side effects: + * Writes to *objPtrPtr the address of Tcl_Obj that is concatenation + * of all objc values in objv. + * + *--------------------------------------------------------------------------- + */ + +int +TclStringCatObjv( + Tcl_Interp *interp, + int objc, + Tcl_Obj * const objv[], + Tcl_Obj **objPtrPtr) +{ + Tcl_Obj *objResultPtr; + + /* assert (objc >= 2) */ + + objResultPtr = *objv++; objc--; + if (Tcl_IsShared(objResultPtr)) { + objResultPtr = Tcl_DuplicateObj(objResultPtr); + } + while (objc--) { + Tcl_AppendObjToObj(objResultPtr, *objv++); + } + *objPtrPtr = objResultPtr; + return TCL_OK; +} + /* *--------------------------------------------------------------------------- * -- cgit v0.12 From 6beda912ab0f8bd8784d7b1a973d3897c89b75c0 Mon Sep 17 00:00:00 2001 From: dgp Date: Thu, 27 Oct 2016 20:06:36 +0000 Subject: Convert INST_STR_CONCAT1 to the common `string cat` implementation. --- generic/tclExecute.c | 8 ++++++++ 1 file changed, 8 insertions(+) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index b19754e..fcf5ba9 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -2692,6 +2692,13 @@ TEBCresume( opnd = TclGetUInt1AtPtr(pc+1); +#if 1 + if (TCL_OK != TclStringCatObjv(interp, opnd, &OBJ_AT_DEPTH(opnd-1), + &objResultPtr)) { + TRACE_ERROR(interp); + goto gotError; + } +#else /* * Detect only-bytearray-or-null case. */ @@ -2828,6 +2835,7 @@ TEBCresume( } } } +#endif TRACE_WITH_OBJ(("%u => ", opnd), objResultPtr); NEXT_INST_V(2, opnd, 1); -- cgit v0.12 From 4968966c028c3577f5ef3e604cf1e98b7c37d824 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 28 Oct 2016 14:06:15 +0000 Subject: Add obvious optimization to Tcl_GetCharLength(). --- generic/tclStringObj.c | 9 +++++++++ 1 file changed, 9 insertions(+) diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index 2930fa1..e878167 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -409,6 +409,15 @@ Tcl_GetCharLength( int numChars; /* + * Quick, no-shimmer return for short string reps. + */ + + if ((objPtr->bytes) && (objPtr->length < 2)) { + /* 0 bytes -> 0 chars; 1 byte -> 1 char */ + return objPtr->length; + } + + /* * Optimize the case where we're really dealing with a bytearray object * without string representation; we don't need to convert to a string to * perform the get-length operation. -- cgit v0.12 From e0d5715972ba45f8d23f0349033503b2195b1664 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 28 Oct 2016 14:23:25 +0000 Subject: Add warning commentary making important assumptions explicit. --- generic/tclCmdIL.c | 8 ++++++++ generic/tclStringObj.c | 2 ++ 2 files changed, 10 insertions(+) diff --git a/generic/tclCmdIL.c b/generic/tclCmdIL.c index 02e5812..b303bb6 100644 --- a/generic/tclCmdIL.c +++ b/generic/tclCmdIL.c @@ -2025,6 +2025,14 @@ Tcl_JoinObjCmd( resObjPtr = Tcl_NewObj(); for (i = 0; i < listLen; i++) { if (i > 0) { + + /* + * NOTE: This code is relying on Tcl_AppendObjToObj() **NOT** + * to shimmer joinObjPtr. If it did, then the case where + * objv[1] and objv[2] are the same value would not be safe. + * Accessing elemPtrs would crash. + */ + Tcl_AppendObjToObj(resObjPtr, joinObjPtr); } Tcl_AppendObjToObj(resObjPtr, elemPtrs[i]); diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index 86f0c62..67e86c5 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -1261,6 +1261,8 @@ Tcl_AppendUnicodeToObj( * Side effects: * The string rep of appendObjPtr is appended to the string * representation of objPtr. + * IMPORTANT: This routine does not and MUST NOT shimmer appendObjPtr. + * Callers are counting on that. * *---------------------------------------------------------------------- */ -- cgit v0.12 From 335716b81d99c7476e68979fe48b20b0f2bfeeee Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 28 Oct 2016 14:45:54 +0000 Subject: Add obvious optimizations to [join] implementation. --- generic/tclCmdIL.c | 10 ++++++++++ 1 file changed, 10 insertions(+) diff --git a/generic/tclCmdIL.c b/generic/tclCmdIL.c index bb3c9b7..7f4ca1d 100644 --- a/generic/tclCmdIL.c +++ b/generic/tclCmdIL.c @@ -2173,6 +2173,16 @@ Tcl_JoinObjCmd( return TCL_ERROR; } + if (listLen == 0) { + /* No elements to join; default empty result is correct. */ + return TCL_OK; + } + if (listLen == 1) { + /* One element; return it */ + Tcl_SetObjResult(interp, elemPtrs[0]); + return TCL_OK; + } + joinObjPtr = (objc == 2) ? Tcl_NewStringObj(" ", 1) : objv[2]; Tcl_IncrRefCount(joinObjPtr); -- cgit v0.12 From dff4ed85a2e6fac50d5e9d7caee4a7f1dffcd835 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 28 Oct 2016 15:46:49 +0000 Subject: Add optimization to [dict append]. --- generic/tclDictObj.c | 25 +++++++++++++++++-------- 1 file changed, 17 insertions(+), 8 deletions(-) diff --git a/generic/tclDictObj.c b/generic/tclDictObj.c index 428173d..f99f984 100644 --- a/generic/tclDictObj.c +++ b/generic/tclDictObj.c @@ -2305,17 +2305,26 @@ DictAppendCmd( return TCL_ERROR; } - if (valuePtr == NULL) { - TclNewObj(valuePtr); - } else if (Tcl_IsShared(valuePtr)) { - valuePtr = Tcl_DuplicateObj(valuePtr); - } + if ((objc > 3) || (valuePtr == NULL)) { + /* Only go through append activites when something will change. */ + + if (valuePtr == NULL) { + TclNewObj(valuePtr); + } else if (Tcl_IsShared(valuePtr)) { + valuePtr = Tcl_DuplicateObj(valuePtr); + } - for (i=3 ; i Date: Fri, 28 Oct 2016 16:55:44 +0000 Subject: revise [dict append] to make use of common [string cat] engine. --- generic/tclDictObj.c | 30 ++++++++++++++++++++++++------ 1 file changed, 24 insertions(+), 6 deletions(-) diff --git a/generic/tclDictObj.c b/generic/tclDictObj.c index f99f984..3be968a 100644 --- a/generic/tclDictObj.c +++ b/generic/tclDictObj.c @@ -2282,7 +2282,7 @@ DictAppendCmd( Tcl_Obj *const *objv) { Tcl_Obj *dictPtr, *valuePtr, *resultPtr; - int i, allocatedDict = 0; + int allocatedDict = 0; if (objc < 3) { Tcl_WrongNumArgs(interp, 1, objv, "dictVarName key ?value ...?"); @@ -2307,15 +2307,33 @@ DictAppendCmd( if ((objc > 3) || (valuePtr == NULL)) { /* Only go through append activites when something will change. */ + Tcl_Obj *appendObjPtr = NULL; - if (valuePtr == NULL) { + if (objc > 3) { + /* Something to append */ + + if (objc == 4) { + appendObjPtr = objv[3]; + } else if (TCL_OK != TclStringCatObjv(interp, objc-3, objv+3, + &appendObjPtr)) { + return TCL_ERROR; + } + } + + if (appendObjPtr == NULL) { + /* => (objc == 3) => (valuePtr == NULL) */ TclNewObj(valuePtr); - } else if (Tcl_IsShared(valuePtr)) { - valuePtr = Tcl_DuplicateObj(valuePtr); + } else if (valuePtr == NULL) { + valuePtr = appendObjPtr; + appendObjPtr = NULL; } - for (i=3 ; i Date: Fri, 28 Oct 2016 20:33:55 +0000 Subject: WIP --- generic/tclCmdIL.c | 5 ++--- generic/tclCmdMZ.c | 3 ++- generic/tclDictObj.c | 4 ++-- generic/tclExecute.c | 4 ++-- generic/tclInt.h | 5 +++-- generic/tclStringObj.c | 58 +++++++++++++++++++++++++++++++++++++++++++++++++- 6 files changed, 68 insertions(+), 11 deletions(-) diff --git a/generic/tclCmdIL.c b/generic/tclCmdIL.c index 09adc8d..73bd36f 100644 --- a/generic/tclCmdIL.c +++ b/generic/tclCmdIL.c @@ -2187,9 +2187,8 @@ Tcl_JoinObjCmd( Tcl_IncrRefCount(joinObjPtr); if (Tcl_GetCharLength(joinObjPtr) == 0) { - Tcl_IncrRefCount(elemPtrs[0]); - TclStringCatObjv(interp, listLen, elemPtrs, &resObjPtr); - Tcl_DecrRefCount(elemPtrs[0]); + TclStringCatObjv(interp, /* inPlace */ 0, listLen, elemPtrs, + &resObjPtr); } else { int i; diff --git a/generic/tclCmdMZ.c b/generic/tclCmdMZ.c index 1a08674..10c2ef3 100644 --- a/generic/tclCmdMZ.c +++ b/generic/tclCmdMZ.c @@ -2873,7 +2873,8 @@ StringCatCmd( return TCL_OK; } - code = TclStringCatObjv(interp, objc-1, objv+1, &objResultPtr); + code = TclStringCatObjv(interp, /* inPlace */ 1, objc-1, objv+1, + &objResultPtr); if (code == TCL_OK) { Tcl_SetObjResult(interp, objResultPtr); diff --git a/generic/tclDictObj.c b/generic/tclDictObj.c index 3be968a..9686c6f 100644 --- a/generic/tclDictObj.c +++ b/generic/tclDictObj.c @@ -2314,8 +2314,8 @@ DictAppendCmd( if (objc == 4) { appendObjPtr = objv[3]; - } else if (TCL_OK != TclStringCatObjv(interp, objc-3, objv+3, - &appendObjPtr)) { + } else if (TCL_OK != TclStringCatObjv(interp, /* inPlace */ 1, + objc-3, objv+3, &appendObjPtr)) { return TCL_ERROR; } } diff --git a/generic/tclExecute.c b/generic/tclExecute.c index fcf5ba9..1cf8548 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -2693,8 +2693,8 @@ TEBCresume( opnd = TclGetUInt1AtPtr(pc+1); #if 1 - if (TCL_OK != TclStringCatObjv(interp, opnd, &OBJ_AT_DEPTH(opnd-1), - &objResultPtr)) { + if (TCL_OK != TclStringCatObjv(interp, /* inPlace */ 1, + opnd, &OBJ_AT_DEPTH(opnd-1), &objResultPtr)) { TRACE_ERROR(interp); goto gotError; } diff --git a/generic/tclInt.h b/generic/tclInt.h index 36c1a81..8a647f0 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -3135,8 +3135,9 @@ MODULE_SCOPE void TclSpellFix(Tcl_Interp *interp, Tcl_Obj *bad, Tcl_Obj *fix); MODULE_SCOPE void * TclStackRealloc(Tcl_Interp *interp, void *ptr, int numBytes); -MODULE_SCOPE int TclStringCatObjv(Tcl_Interp *interp, int objc, - Tcl_Obj *const objv[], Tcl_Obj **objPtrPtr); +MODULE_SCOPE int TclStringCatObjv(Tcl_Interp *interp, int inPlace, + int objc, Tcl_Obj *const objv[], + Tcl_Obj **objPtrPtr); MODULE_SCOPE int TclStringMatch(const char *str, int strLen, const char *pattern, int ptnLen, int flags); MODULE_SCOPE int TclStringMatchObj(Tcl_Obj *stringObj, diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index cc30602..c248749 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2630,18 +2630,74 @@ TclGetStringStorage( int TclStringCatObjv( Tcl_Interp *interp, + int inPlace, int objc, Tcl_Obj * const objv[], Tcl_Obj **objPtrPtr) { Tcl_Obj *objResultPtr; + int i, length = 0, binary = 1, first = 0; /* assert (objc >= 2) */ + /* + * GOALS: Avoid shimmering & string rep generation. + * Produce pure bytearray when possible. + * Error on overflow. + */ + + for (i = 0; i < objc && binary; i++) { + Tcl_Obj *objPtr = objv[i]; + + if (objPtr->bytes) { + if (objPtr->length == 0) { + continue; + } + binary = 0; + } else if (!TclIsPureByteArray(objPtr)) { + binary = 0; + } + } + + if (binary) { + for (i = 0; i < objc && length >= 0; i++) { + if (objv[i]->bytes == NULL) { + int numBytes; + + Tcl_GetByteArrayFromObj(objv[i], &numBytes); + if (length == 0) { + first = i; + } + length += numBytes; + } + } + if (length < 0) { + if (interp) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "max size for a Tcl value (%d bytes) exceeded", + INT_MAX)); + Tcl_SetErrorCode(interp, "TCL", "MEMORY", NULL); + } + return TCL_ERROR; + } + if (length == 0) { + /* Total length of zero means every value has length zero */ + *objPtrPtr = objv[0]; + return TCL_OK; + } + } + + objv += first; objc -= first; objResultPtr = *objv++; objc--; - if (Tcl_IsShared(objResultPtr)) { + if (!inPlace || Tcl_IsShared(objResultPtr)) { objResultPtr = Tcl_DuplicateObj(objResultPtr); } + + if (binary) { + Tcl_SetByteArrayLength(objResultPtr, length); + } + + while (objc--) { Tcl_AppendObjToObj(objResultPtr, *objv++); } -- cgit v0.12 From a913c1c36df3e3fc5c44926e7b267593f4bfdacb Mon Sep 17 00:00:00 2001 From: dkf Date: Sat, 29 Oct 2016 21:03:25 +0000 Subject: Added test for bug --- tests/zlib.test | 19 +++++++++++++++++++ 1 file changed, 19 insertions(+) diff --git a/tests/zlib.test b/tests/zlib.test index 15dbb34..ae8742b 100644 --- a/tests/zlib.test +++ b/tests/zlib.test @@ -138,6 +138,25 @@ test zlib-7.7 {zlib stream: Bug 25842c161} -constraints zlib -body { } -cleanup { catch {$s close} } -result "" +# Also causes Tk Bug 10f2e7872b +test zlib-7.8 {zlib stream: Bug b26e38a3e4} -constraints zlib -setup { + expr srand(12345) + set randdata {} + for {set i 0} {$i<6001} {incr i} { + append randdata [binary format c [expr {int(256*rand())}]] + } +} -body { + set strm [zlib stream compress] + for {set i 1} {$i<3000} {incr i} { + $strm put $randdata + } + $strm put -finalize $randdata + set data [$strm get] + list [string length $data] [string length [zlib decompress $data]] +} -cleanup { + catch {$strm close} + unset -nocomplain randdata data +} -result {120185 18003000} test zlib-8.1 {zlib transformation} -constraints zlib -setup { set file [makeFile {} test.gz] -- cgit v0.12 From f50fc619a4f614dc4011b6bf50add8f947d6cb35 Mon Sep 17 00:00:00 2001 From: dkf Date: Sun, 30 Oct 2016 05:02:46 +0000 Subject: Fix the bug. Make use of zlib API in this area more like a Tcl API with wrapper function. --- generic/tclZlib.c | 144 ++++++++++++++++++++++++++++++++---------------------- 1 file changed, 86 insertions(+), 58 deletions(-) diff --git a/generic/tclZlib.c b/generic/tclZlib.c index c9d7b88..53cd14b 100644 --- a/generic/tclZlib.c +++ b/generic/tclZlib.c @@ -177,6 +177,8 @@ static Tcl_ObjCmdProc ZlibStreamPutCmd; static void ConvertError(Tcl_Interp *interp, int code, uLong adler); static Tcl_Obj * ConvertErrorToList(int code, uLong adler); +static inline int Deflate(z_streamp strm, void *bufferPtr, + int bufferSize, int flush, int *writtenPtr); static void ExtractHeader(gz_header *headerPtr, Tcl_Obj *dictObj); static int GenerateHeader(Tcl_Interp *interp, Tcl_Obj *dictObj, GzipHeader *headerPtr, int *extraSizePtr); @@ -578,6 +580,10 @@ ExtractHeader( } } +/* + * Disentangle the worst of how the zlib API is used. + */ + static int SetInflateDictionary( z_streamp strm, @@ -605,6 +611,38 @@ SetDeflateDictionary( } return Z_OK; } + +static inline int +Deflate( + z_streamp strm, + void *bufferPtr, + int bufferSize, + int flush, + int *writtenPtr) +{ + int e; + + strm->next_out = (Bytef *) bufferPtr; + strm->avail_out = (unsigned) bufferSize; + e = deflate(strm, flush); + if (writtenPtr != NULL) { + *writtenPtr = bufferSize - strm->avail_out; + } + return e; +} + +static inline void +AppendByteArray( + Tcl_Obj *listObj, + void *buffer, + int size) +{ + if (size > 0) { + Tcl_Obj *baObj = Tcl_NewByteArrayObj((unsigned char *) buffer, size); + + Tcl_ListObjAppendElement(NULL, listObj, baObj); + } +} /* *---------------------------------------------------------------------- @@ -1139,6 +1177,8 @@ Tcl_ZlibStreamSetCompressionDictionary( *---------------------------------------------------------------------- */ +#define BUFFER_SIZE_LIMIT 0xFFFF + int Tcl_ZlibStreamPut( Tcl_ZlibStream zshandle, /* As obtained from Tcl_ZlibStreamInit */ @@ -1148,8 +1188,7 @@ Tcl_ZlibStreamPut( { ZlibStreamHandle *zshPtr = (ZlibStreamHandle *) zshandle; char *dataTmp = NULL; - int e, size, outSize; - Tcl_Obj *obj; + int e, size, outSize, toStore; if (zshPtr->streamEnd) { if (zshPtr->interp) { @@ -1175,26 +1214,45 @@ Tcl_ZlibStreamPut( if (HaveDictToSet(zshPtr)) { e = SetDeflateDictionary(&zshPtr->stream, zshPtr->compDictObj); if (e != Z_OK) { - if (zshPtr->interp) { - ConvertError(zshPtr->interp, e, zshPtr->stream.adler); - } + ConvertError(zshPtr->interp, e, zshPtr->stream.adler); return TCL_ERROR; } DictWasSet(zshPtr); } /* - * Deflatebound doesn't seem to take various header sizes into - * account, so we add 100 extra bytes. + * deflateBound() doesn't seem to take various header sizes into + * account, so we add 100 extra bytes. However, we can also loop + * around again so we also set an upper bound on the output buffer + * size. */ - outSize = deflateBound(&zshPtr->stream, zshPtr->stream.avail_in)+100; - zshPtr->stream.avail_out = outSize; - dataTmp = ckalloc(zshPtr->stream.avail_out); - zshPtr->stream.next_out = (Bytef *) dataTmp; + outSize = deflateBound(&zshPtr->stream, size) + 100; + if (outSize > BUFFER_SIZE_LIMIT) { + outSize = BUFFER_SIZE_LIMIT; + } + dataTmp = ckalloc(outSize); + + while (1) { + e = Deflate(&zshPtr->stream, dataTmp, outSize, flush, &toStore); + + /* + * Test if we've filled the buffer up and have to ask deflate() to + * give us some more. Note that the condition for needing to + * repeat a buffer transfer when the result is Z_OK is whether + * there is no more space in the buffer we provided; the zlib + * library does not necessarily return a different code in that + * case. [Bug b26e38a3e4] [Tk Bug 10f2e7872b] + */ + + if ((e != Z_BUF_ERROR) && (e != Z_OK || toStore < outSize)) { + if ((e == Z_OK) || (flush == Z_FINISH && e == Z_STREAM_END)) { + break; + } + ConvertError(zshPtr->interp, e, zshPtr->stream.adler); + return TCL_ERROR; + } - e = deflate(&zshPtr->stream, flush); - while (e == Z_BUF_ERROR || (flush == Z_FINISH && e == Z_OK)) { /* * Output buffer too small to hold the data being generated or we * are doing the end-of-stream flush (which can spit out masses of @@ -1202,45 +1260,21 @@ Tcl_ZlibStreamPut( * saving the old generated data to the outData list. */ - obj = Tcl_NewByteArrayObj((unsigned char *) dataTmp, outSize); - Tcl_ListObjAppendElement(NULL, zshPtr->outData, obj); + AppendByteArray(zshPtr->outData, dataTmp, outSize); - if (outSize < 0xFFFF) { - outSize = 0xFFFF; /* There may be *lots* of data left to - * output... */ + if (outSize < BUFFER_SIZE_LIMIT) { + outSize = BUFFER_SIZE_LIMIT; + /* There may be *lots* of data left to output... */ dataTmp = ckrealloc(dataTmp, outSize); } - zshPtr->stream.avail_out = outSize; - zshPtr->stream.next_out = (Bytef *) dataTmp; - - e = deflate(&zshPtr->stream, flush); - } - - if (e != Z_OK && !(flush==Z_FINISH && e==Z_STREAM_END)) { - if (zshPtr->interp) { - ConvertError(zshPtr->interp, e, zshPtr->stream.adler); - } - return TCL_ERROR; } /* - * And append the final data block. + * And append the final data block to the outData list. */ - if (outSize - zshPtr->stream.avail_out > 0) { - obj = Tcl_NewByteArrayObj((unsigned char *) dataTmp, - outSize - zshPtr->stream.avail_out); - - /* - * Now append the compressed data to the outData list. - */ - - Tcl_ListObjAppendElement(NULL, zshPtr->outData, obj); - } - - if (dataTmp) { - ckfree(dataTmp); - } + AppendByteArray(zshPtr->outData, dataTmp, toStore); + ckfree(dataTmp); } else { /* * This is easy. Just append to the inData list. @@ -1356,9 +1390,7 @@ Tcl_ZlibStreamGet( if (IsRawStream(zshPtr) && HaveDictToSet(zshPtr)) { e = SetInflateDictionary(&zshPtr->stream, zshPtr->compDictObj); if (e != Z_OK) { - if (zshPtr->interp) { - ConvertError(zshPtr->interp, e, zshPtr->stream.adler); - } + ConvertError(zshPtr->interp, e, zshPtr->stream.adler); return TCL_ERROR; } DictWasSet(zshPtr); @@ -2879,10 +2911,8 @@ ZlibTransformClose( if (cd->mode == TCL_ZLIB_STREAM_DEFLATE) { cd->outStream.avail_in = 0; do { - cd->outStream.next_out = (Bytef *) cd->outBuffer; - cd->outStream.avail_out = (unsigned) cd->outAllocated; - e = deflate(&cd->outStream, Z_FINISH); - written = cd->outAllocated - cd->outStream.avail_out; + e = Deflate(&cd->outStream, cd->outBuffer, cd->outAllocated, + Z_FINISH, &written); /* * Can't be sure that deflate() won't declare the buffer to be @@ -3086,17 +3116,15 @@ ZlibTransformOutput( cd->outStream.next_in = (Bytef *) buf; cd->outStream.avail_in = toWrite; do { - cd->outStream.next_out = (Bytef *) cd->outBuffer; - cd->outStream.avail_out = cd->outAllocated; - - e = deflate(&cd->outStream, Z_NO_FLUSH); - produced = cd->outAllocated - cd->outStream.avail_out; + e = Deflate(&cd->outStream, cd->outBuffer, cd->outAllocated, + Z_NO_FLUSH, &produced); if ((e == Z_OK && produced > 0) || e == Z_BUF_ERROR) { /* * deflate() indicates that it is out of space by returning - * Z_BUF_ERROR; in that case, we must write the whole buffer out - * and retry to compress what is left. + * Z_BUF_ERROR *or* by simply returning Z_OK with no remaining + * space; in either case, we must write the whole buffer out and + * retry to compress what is left. */ if (e == Z_BUF_ERROR) { -- cgit v0.12 From 4ebcee3015caa6c14ae484220d113c943bc1f736 Mon Sep 17 00:00:00 2001 From: dkf Date: Sun, 30 Oct 2016 05:07:47 +0000 Subject: One more place where the internal API change can be used easily. --- generic/tclZlib.c | 7 ++----- 1 file changed, 2 insertions(+), 5 deletions(-) diff --git a/generic/tclZlib.c b/generic/tclZlib.c index 53cd14b..e5a5946 100644 --- a/generic/tclZlib.c +++ b/generic/tclZlib.c @@ -3177,10 +3177,8 @@ ZlibTransformFlush( * Get the bytes to go out of the compression engine. */ - cd->outStream.next_out = (Bytef *) cd->outBuffer; - cd->outStream.avail_out = cd->outAllocated; - - e = deflate(&cd->outStream, flushType); + e = Deflate(&cd->outStream, cd->outBuffer, cd->outAllocated, + flushType, &len); if (e != Z_OK && e != Z_BUF_ERROR) { ConvertError(interp, e, cd->outStream.adler); return TCL_ERROR; @@ -3190,7 +3188,6 @@ ZlibTransformFlush( * Write the bytes we've received to the next layer. */ - len = cd->outStream.next_out - (Bytef *) cd->outBuffer; if (len > 0 && Tcl_WriteRaw(cd->parent, cd->outBuffer, len) < 0) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "problem flushing channel: %s", -- cgit v0.12 From df54f23b9fdd17bc3eb02a15f3fd9513e6261b7e Mon Sep 17 00:00:00 2001 From: dkf Date: Sun, 30 Oct 2016 08:22:13 +0000 Subject: [1ae12987cb] Ensure that deleting the [history] command deletes its storage. --- library/history.tcl | 24 ++++++++++++++++++++++ tests/history.test | 58 +++++++++++++++++++++++++++++++++++++++++++++++++++-- 2 files changed, 80 insertions(+), 2 deletions(-) diff --git a/library/history.tcl b/library/history.tcl index 51d2404..ef9099b 100644 --- a/library/history.tcl +++ b/library/history.tcl @@ -56,6 +56,30 @@ proc ::history {args} { tailcall apply {arglist {tailcall history {*}$arglist} ::tcl} $args } +# (unnamed) -- +# +# Callback when [::history] is destroyed. Destroys the implementation. +# +# Parameters: +# oldName what the command was called. +# newName what the command is now called (an empty string). +# op the operation (= delete). +# +# Results: +# none +# +# Side Effects: +# The implementation of the [::history] command ceases to exist. + +trace add command ::history delete [list apply {{oldName newName op} { + variable history + unset -nocomplain history + foreach c [info procs ::tcl::Hist*] { + rename $c {} + } + rename ::tcl::history {} +} ::tcl}] + # tcl::HistAdd -- # # Add an item to the history, and optionally eval it at the global scope diff --git a/tests/history.test b/tests/history.test index 7549beb..3201ad7 100644 --- a/tests/history.test +++ b/tests/history.test @@ -11,8 +11,8 @@ # See the file "license.terms" for information on usage and redistribution of # this file, and for a DISCLAIMER OF ALL WARRANTIES. -if {[lsearch [namespace children] ::tcltest] == -1} { - package require tcltest +if {"::tcltest" ni [namespace children]} { + package require tcltest 2 namespace import -force ::tcltest::* } @@ -245,6 +245,60 @@ test history-9.2 {miscellaneous} history { catch {history gorp} msg set msg } {unknown or ambiguous subcommand "gorp": must be add, change, clear, event, info, keep, nextid, or redo} + +# History retains references; Bug 1ae12987cb +test history-10.1 {references kept by history} -constraints history -setup { + interp create histtest + histtest eval { + # Trigger any autoloading that might be present + catch {history} + proc refcount {x} { + set rep [::tcl::unsupported::representation $x] + regexp {with a refcount of (\d+)} $rep -> rc + # Ignore the references due to calling this procedure + return [expr {$rc - 3}] + } + } +} -body { + histtest eval { + # A fresh object, refcount 1 from the variable we write it to + set obj [expr rand()] + set baseline [refcount $obj] + lappend result [refcount $obj] + history add [list list $obj] + lappend result [refcount $obj] + history clear + lappend result [refcount $obj] + } +} -cleanup { + interp delete histtest +} -result {1 2 1} +test history-10.2 {references kept by history} -constraints history -setup { + interp create histtest + histtest eval { + # Trigger any autoloading that might be present + catch {history} + proc refcount {x} { + set rep [::tcl::unsupported::representation $x] + regexp {with a refcount of (\d+)} $rep -> rc + # Ignore the references due to calling this procedure + return [expr {$rc - 3}] + } + } +} -body { + histtest eval { + # A fresh object, refcount 1 from the variable we write it to + set obj [expr rand()] + set baseline [refcount $obj] + lappend result [refcount $obj] + history add [list list $obj] + lappend result [refcount $obj] + rename history {} + lappend result [refcount $obj] + } +} -cleanup { + interp delete histtest +} -result {1 2 1} # cleanup ::tcltest::cleanupTests -- cgit v0.12 From 5ddd3f071bddef971e50673d7700162700561cf6 Mon Sep 17 00:00:00 2001 From: dkf Date: Sun, 30 Oct 2016 16:16:29 +0000 Subject: [253ba6e818] Improved description of [variable] behaviour. --- doc/variable.n | 7 ++++++- 1 file changed, 6 insertions(+), 1 deletion(-) diff --git a/doc/variable.n b/doc/variable.n index a6e545f..8228859 100644 --- a/doc/variable.n +++ b/doc/variable.n @@ -45,7 +45,8 @@ linked to the corresponding namespace variables (and therefore these variables are listed by \fBinfo vars\fR.) In this way the \fBvariable\fR command resembles the \fBglobal\fR command, although the \fBglobal\fR command -only links to variables in the global namespace. +resolves variable names with respect to the global namespace instead +of the current namespace of the procedure. If any \fIvalue\fRs are given, they are used to modify the values of the associated namespace variables. If a namespace variable does not exist, @@ -98,3 +99,7 @@ namespace eval foo { global(n), namespace(n), upvar(n) .SH KEYWORDS global, namespace, procedure, variable +.\" Local variables: +.\" mode: nroff +.\" fill-column: 78 +.\" End: -- cgit v0.12 From 1cb5e0af9770c565d370fbb5cf713af0d1f561de Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 31 Oct 2016 14:17:31 +0000 Subject: Coverage tests for INST_STR_CONCAT1 byterarray ops. --- tests/binary.test | 13 +++++++++++++ 1 file changed, 13 insertions(+) diff --git a/tests/binary.test b/tests/binary.test index 40b1315..7738f69 100644 --- a/tests/binary.test +++ b/tests/binary.test @@ -2837,6 +2837,19 @@ test binary-76.2 {binary string appending growth algorithm} win { # Append to it string length [append str [binary format a* foo]] } 3 + +test binary-77.1 {string cat ops on all bytearrays} { + apply {{a b} { + return [binary format H* $a][binary format H* $b] + }} ab cd +} [binary format H* abcd] +test binary-77.2 {string cat ops on all bytearrays} { + apply {{a b} { + set one [binary format H* $a] + return $one[binary format H* $b] + }} ab cd +} [binary format H* abcd] + # ---------------------------------------------------------------------- # cleanup -- cgit v0.12 From 77c9a433f701214eafd76617a8e3c67316ebf08e Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 31 Oct 2016 16:15:16 +0000 Subject: Complete the "pure binary" implementation of the [string cat] engine. --- generic/tclStringObj.c | 26 ++++++++++++++++++++------ 1 file changed, 20 insertions(+), 6 deletions(-) diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index c248749..c0d85a0 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2694,12 +2694,26 @@ TclStringCatObjv( } if (binary) { - Tcl_SetByteArrayLength(objResultPtr, length); - } - - - while (objc--) { - Tcl_AppendObjToObj(objResultPtr, *objv++); + /* Efficiently produce a pure binary result */ + unsigned char *dst; + int start; + + Tcl_GetByteArrayFromObj(objResultPtr, &start); + dst = Tcl_SetByteArrayLength(objResultPtr, length) + start; + while (objc--) { + Tcl_Obj *objPtr = *objv++; + + if (objPtr->bytes == NULL) { + int more; + unsigned char *src = Tcl_GetByteArrayFromObj(objPtr, &more); + memcpy(dst, src, (size_t) more); + dst += more; + } + } + } else { + while (objc--) { + Tcl_AppendObjToObj(objResultPtr, *objv++); + } } *objPtrPtr = objResultPtr; return TCL_OK; -- cgit v0.12 From b550e65a968434e0f17d097f85df3fb64347e1ce Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 31 Oct 2016 18:10:21 +0000 Subject: Reduce copies in the pure binary implementation of [string cat]. --- generic/tclStringObj.c | 26 +++++++++++++++++++------- 1 file changed, 19 insertions(+), 7 deletions(-) diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index c0d85a0..1723804 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2688,18 +2688,21 @@ TclStringCatObjv( } objv += first; objc -= first; - objResultPtr = *objv++; objc--; - if (!inPlace || Tcl_IsShared(objResultPtr)) { - objResultPtr = Tcl_DuplicateObj(objResultPtr); - } if (binary) { /* Efficiently produce a pure binary result */ unsigned char *dst; - int start; - Tcl_GetByteArrayFromObj(objResultPtr, &start); - dst = Tcl_SetByteArrayLength(objResultPtr, length) + start; + if (inPlace && !Tcl_IsShared(*objv)) { + int start; + + objResultPtr = *objv++; objc--; + Tcl_GetByteArrayFromObj(objResultPtr, &start); + dst = Tcl_SetByteArrayLength(objResultPtr, length) + start; + } else { + objResultPtr = Tcl_NewByteArrayObj(NULL, length); + dst = Tcl_SetByteArrayLength(objResultPtr, length); + } while (objc--) { Tcl_Obj *objPtr = *objv++; @@ -2711,6 +2714,15 @@ TclStringCatObjv( } } } else { + + + objResultPtr = *objv++; objc--; + if (!inPlace || Tcl_IsShared(objResultPtr)) { + objResultPtr = Tcl_DuplicateObj(objResultPtr); + } + + + while (objc--) { Tcl_AppendObjToObj(objResultPtr, *objv++); } -- cgit v0.12 From ff2f0e85be431ad093ea78333f98942321ea1779 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 1 Nov 2016 15:07:30 +0000 Subject: Expand all the cases of the [string cat] engine. --- generic/tclStringObj.c | 156 ++++++++++++++++++++++++++++++++++++++++--------- 1 file changed, 129 insertions(+), 27 deletions(-) diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index 1723804..05dcba4 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2637,60 +2637,113 @@ TclStringCatObjv( { Tcl_Obj *objResultPtr; int i, length = 0, binary = 1, first = 0; + int allowUniChar = 1, requestUniChar = 0; /* assert (objc >= 2) */ /* + * Analyze to determine what representation result should be. * GOALS: Avoid shimmering & string rep generation. * Produce pure bytearray when possible. * Error on overflow. */ - for (i = 0; i < objc && binary; i++) { + for (i = 0; i < objc && (binary || allowUniChar); i++) { Tcl_Obj *objPtr = objv[i]; if (objPtr->bytes) { - if (objPtr->length == 0) { - continue; + /* Value has a string rep. */ + if (objPtr->length) { + /* + * Non-empty string rep. Not a pure bytearray, so we + * won't create a pure bytearray + */ + binary = 0; + if ((objPtr->typePtr) && (objPtr->typePtr != &tclStringType)) { + /* Prevent shimmer of non-string types. */ + allowUniChar = 0; + } + } + } else { + /* assert (objPtr->typePtr != NULL) -- stork! */ + if (TclIsPureByteArray(objPtr)) { + allowUniChar = 0; + } else { + binary = 0; + if (objPtr->typePtr == &tclStringType) { + /* Have a pure Unicode value; ask to preserve it */ + requestUniChar = 1; + } else { + /* Have another type; prevent shimmer */ + allowUniChar = 0; + } } - binary = 0; - } else if (!TclIsPureByteArray(objPtr)) { - binary = 0; } } if (binary) { + /* Result will be pure byte array. Pre-size it */ for (i = 0; i < objc && length >= 0; i++) { - if (objv[i]->bytes == NULL) { + Tcl_Obj *objPtr = objv[i]; + + if (objPtr->bytes == NULL) { int numBytes; - Tcl_GetByteArrayFromObj(objv[i], &numBytes); + Tcl_GetByteArrayFromObj(objPtr, &numBytes); if (length == 0) { first = i; } length += numBytes; } } - if (length < 0) { - if (interp) { - Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "max size for a Tcl value (%d bytes) exceeded", - INT_MAX)); - Tcl_SetErrorCode(interp, "TCL", "MEMORY", NULL); + } else if (allowUniChar && requestUniChar) { + /* Result will be pure Tcl_UniChar array. Pre-size it. */ + for (i = 0; i < objc && length >= 0; i++) { + Tcl_Obj *objPtr = objv[i]; + + if ((objPtr->bytes == NULL) || (objPtr->length)) { + int numChars; + + Tcl_GetUnicodeFromObj(objPtr, &numChars); + if (length == 0) { + first = i; + } + length += numChars; } - return TCL_ERROR; } - if (length == 0) { - /* Total length of zero means every value has length zero */ - *objPtrPtr = objv[0]; - return TCL_OK; + } else { + /* Result will be concat of string reps. Pre-size it. */ + for (i = 0; i < objc && length >= 0; i++) { + Tcl_Obj *objPtr = objv[i]; + int numBytes; + + Tcl_GetStringFromObj(objPtr, &numBytes); + if ((length == 0) && numBytes) { + first = i; + } + length += numBytes; + } + } + + if (length < 0) { + if (interp) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "max size for a Tcl value (%d bytes) exceeded", INT_MAX)); + Tcl_SetErrorCode(interp, "TCL", "MEMORY", NULL); } - } + return TCL_ERROR; + } + + if (length == 0) { + /* Total length of zero means every value has length zero */ + *objPtrPtr = objv[0]; + return TCL_OK; + } objv += first; objc -= first; if (binary) { - /* Efficiently produce a pure binary result */ + /* Efficiently produce a pure byte array result */ unsigned char *dst; if (inPlace && !Tcl_IsShared(*objv)) { @@ -2713,18 +2766,67 @@ TclStringCatObjv( dst += more; } } - } else { + } else if (allowUniChar && requestUniChar) { + /* Efficiently produce a pure Tcl_UniChar array result */ + Tcl_UniChar *dst; + if (inPlace && !Tcl_IsShared(*objv)) { + int start; - objResultPtr = *objv++; objc--; - if (!inPlace || Tcl_IsShared(objResultPtr)) { - objResultPtr = Tcl_DuplicateObj(objResultPtr); - } + objResultPtr = *objv++; objc--; + + /* Ugly interface! Force resize of the unicode array. */ + Tcl_GetUnicodeFromObj(objResultPtr, &start); + Tcl_InvalidateStringRep(objResultPtr); + Tcl_SetObjLength(objResultPtr, length); + dst = Tcl_GetUnicode(objResultPtr) + start; + } else { + Tcl_UniChar ch = 0; + + /* Ugly interface! No scheme to init array size. */ + objResultPtr = Tcl_NewUnicodeObj(&ch, 0); + Tcl_SetObjLength(objResultPtr, length); + dst = Tcl_GetUnicode(objResultPtr); + } + while (objc--) { + Tcl_Obj *objPtr = *objv++; + + if ((objPtr->bytes == NULL) || (objPtr->length)) { + int more; + Tcl_UniChar *src = Tcl_GetUnicodeFromObj(objPtr, &more); + memcpy(dst, src, more * sizeof(Tcl_UniChar)); + dst += more; + } + } + } else { + /* Efficiently concatenate string reps */ + char *dst; + if (inPlace && !Tcl_IsShared(*objv)) { + int start; + objResultPtr = *objv++; objc--; + Tcl_GetStringFromObj(objResultPtr, &start); + Tcl_SetObjLength(objResultPtr, length); + dst = Tcl_GetString(objResultPtr) + start; + if (length > start) { + TclFreeIntRep(objResultPtr); + } + } else { + objResultPtr = Tcl_NewObj(); + Tcl_SetObjLength(objResultPtr, length); + dst = Tcl_GetString(objResultPtr); + } while (objc--) { - Tcl_AppendObjToObj(objResultPtr, *objv++); + Tcl_Obj *objPtr = *objv++; + + if ((objPtr->bytes == NULL) || (objPtr->length)) { + int more; + char *src = Tcl_GetStringFromObj(objPtr, &more); + memcpy(dst, src, (size_t) more); + dst += more; + } } } *objPtrPtr = objResultPtr; -- cgit v0.12 From 418ded1bc9df7ae0976ce3793aa0190c93609332 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 1 Nov 2016 15:12:07 +0000 Subject: Trim away obsolete code. --- generic/tclExecute.c | 146 +-------------------------------------------------- 1 file changed, 1 insertion(+), 145 deletions(-) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 1cf8548..83b83f1 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -2684,162 +2684,18 @@ TEBCresume( NEXT_INST_F(5, 0, 0); } - case INST_STR_CONCAT1: { - int appendLen = 0; - char *bytes, *p; - Tcl_Obj **currPtr; - int onlyb = 1; + case INST_STR_CONCAT1: opnd = TclGetUInt1AtPtr(pc+1); -#if 1 if (TCL_OK != TclStringCatObjv(interp, /* inPlace */ 1, opnd, &OBJ_AT_DEPTH(opnd-1), &objResultPtr)) { TRACE_ERROR(interp); goto gotError; } -#else - /* - * Detect only-bytearray-or-null case. - */ - - for (currPtr=&OBJ_AT_DEPTH(opnd-1); currPtr<=&OBJ_AT_TOS; currPtr++) { - if (((*currPtr)->typePtr != &tclByteArrayType) - && ((*currPtr)->bytes != tclEmptyStringRep)) { - onlyb = 0; - break; - } else if (((*currPtr)->typePtr == &tclByteArrayType) && - ((*currPtr)->bytes != NULL)) { - onlyb = 0; - break; - } - } - - /* - * Compute the length to be appended. - */ - - if (onlyb) { - for (currPtr = &OBJ_AT_DEPTH(opnd-2); - appendLen >= 0 && currPtr <= &OBJ_AT_TOS; currPtr++) { - if ((*currPtr)->bytes != tclEmptyStringRep) { - Tcl_GetByteArrayFromObj(*currPtr, &length); - appendLen += length; - } - } - } else { - for (currPtr = &OBJ_AT_DEPTH(opnd-2); - appendLen >= 0 && currPtr <= &OBJ_AT_TOS; currPtr++) { - bytes = TclGetStringFromObj(*currPtr, &length); - if (bytes != NULL) { - appendLen += length; - } - } - } - - if (appendLen < 0) { - /* TODO: convert panic to error ? */ - Tcl_Panic("max size for a Tcl value (%d bytes) exceeded", INT_MAX); - } - - /* - * If nothing is to be appended, just return the first object by - * dropping all the others from the stack; this saves both the - * computation and copy of the string rep of the first object, - * enabling the fast '$x[set x {}]' idiom for 'K $x [set x {}]'. - */ - - if (appendLen == 0) { - TRACE_WITH_OBJ(("%u => ", opnd), objResultPtr); - NEXT_INST_V(2, (opnd-1), 0); - } - - /* - * If the first object is shared, we need a new obj for the result; - * otherwise, we can reuse the first object. In any case, make sure it - * has enough room to accomodate all the concatenated bytes. Note that - * if it is unshared its bytes are copied by ckrealloc, so that we set - * the loop parameters to avoid copying them again: p points to the - * end of the already copied bytes, currPtr to the second object. - */ - - objResultPtr = OBJ_AT_DEPTH(opnd-1); - if (!onlyb) { - bytes = TclGetStringFromObj(objResultPtr, &length); - if (length + appendLen < 0) { - /* TODO: convert panic to error ? */ - Tcl_Panic("max size for a Tcl value (%d bytes) exceeded", - INT_MAX); - } -#ifndef TCL_COMPILE_DEBUG - if (bytes != tclEmptyStringRep && !Tcl_IsShared(objResultPtr)) { - TclFreeIntRep(objResultPtr); - objResultPtr->bytes = ckrealloc(bytes, length+appendLen+1); - objResultPtr->length = length + appendLen; - p = TclGetString(objResultPtr) + length; - currPtr = &OBJ_AT_DEPTH(opnd - 2); - } else -#endif - { - p = ckalloc(length + appendLen + 1); - TclNewObj(objResultPtr); - objResultPtr->bytes = p; - objResultPtr->length = length + appendLen; - currPtr = &OBJ_AT_DEPTH(opnd - 1); - } - - /* - * Append the remaining characters. - */ - - for (; currPtr <= &OBJ_AT_TOS; currPtr++) { - bytes = TclGetStringFromObj(*currPtr, &length); - if (bytes != NULL) { - memcpy(p, bytes, (size_t) length); - p += length; - } - } - *p = '\0'; - } else { - bytes = (char *) Tcl_GetByteArrayFromObj(objResultPtr, &length); - if (length + appendLen < 0) { - /* TODO: convert panic to error ? */ - Tcl_Panic("max size for a Tcl value (%d bytes) exceeded", - INT_MAX); - } -#ifndef TCL_COMPILE_DEBUG - if (!Tcl_IsShared(objResultPtr)) { - bytes = (char *) Tcl_SetByteArrayLength(objResultPtr, - length + appendLen); - p = bytes + length; - currPtr = &OBJ_AT_DEPTH(opnd - 2); - } else -#endif - { - TclNewObj(objResultPtr); - bytes = (char *) Tcl_SetByteArrayLength(objResultPtr, - length + appendLen); - p = bytes; - currPtr = &OBJ_AT_DEPTH(opnd - 1); - } - - /* - * Append the remaining characters. - */ - - for (; currPtr <= &OBJ_AT_TOS; currPtr++) { - if ((*currPtr)->bytes != tclEmptyStringRep) { - bytes = (char *) Tcl_GetByteArrayFromObj(*currPtr,&length); - memcpy(p, bytes, (size_t) length); - p += length; - } - } - } -#endif TRACE_WITH_OBJ(("%u => ", opnd), objResultPtr); NEXT_INST_V(2, opnd, 1); - } case INST_CONCAT_STK: /* -- cgit v0.12 From cdc8b6080c2a2f05f3f66adfa3184405f04dc003 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 1 Nov 2016 15:42:50 +0000 Subject: Replace indexing with pointer increments. --- generic/tclStringObj.c | 31 ++++++++++++++++++------------- 1 file changed, 18 insertions(+), 13 deletions(-) diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index 05dcba4..7fd7cc1 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2635,8 +2635,8 @@ TclStringCatObjv( Tcl_Obj * const objv[], Tcl_Obj **objPtrPtr) { - Tcl_Obj *objResultPtr; - int i, length = 0, binary = 1, first = 0; + Tcl_Obj *objPtr, *objResultPtr, * const *ov; + int oc, length = 0, binary = 1, first = 0; int allowUniChar = 1, requestUniChar = 0; /* assert (objc >= 2) */ @@ -2648,8 +2648,9 @@ TclStringCatObjv( * Error on overflow. */ - for (i = 0; i < objc && (binary || allowUniChar); i++) { - Tcl_Obj *objPtr = objv[i]; + ov = objv, oc = objc; + while (oc-- && (binary || allowUniChar)) { + objPtr = *ov++; if (objPtr->bytes) { /* Value has a string rep. */ @@ -2683,43 +2684,47 @@ TclStringCatObjv( if (binary) { /* Result will be pure byte array. Pre-size it */ - for (i = 0; i < objc && length >= 0; i++) { - Tcl_Obj *objPtr = objv[i]; + ov = objv; oc = objc; + while (oc-- && (length >= 0)) { + objPtr = *ov++; if (objPtr->bytes == NULL) { int numBytes; Tcl_GetByteArrayFromObj(objPtr, &numBytes); if (length == 0) { - first = i; + first = objc - oc - 1; } length += numBytes; } } } else if (allowUniChar && requestUniChar) { /* Result will be pure Tcl_UniChar array. Pre-size it. */ - for (i = 0; i < objc && length >= 0; i++) { - Tcl_Obj *objPtr = objv[i]; + ov = objv; oc = objc; + while (oc-- && (length >= 0)) { + objPtr = *ov++; if ((objPtr->bytes == NULL) || (objPtr->length)) { int numChars; Tcl_GetUnicodeFromObj(objPtr, &numChars); if (length == 0) { - first = i; + first = objc - oc - 1; } length += numChars; } } } else { /* Result will be concat of string reps. Pre-size it. */ - for (i = 0; i < objc && length >= 0; i++) { - Tcl_Obj *objPtr = objv[i]; + ov = objv; oc = objc; + while (oc-- && (length >= 0)) { int numBytes; + objPtr = *ov++; + Tcl_GetStringFromObj(objPtr, &numBytes); if ((length == 0) && numBytes) { - first = i; + first = objc - oc - 1; } length += numBytes; } -- cgit v0.12 From b9a27c7e1b9c334d15b042404b291c62708bf44a Mon Sep 17 00:00:00 2001 From: Joe Mistachkin Date: Wed, 2 Nov 2016 01:42:49 +0000 Subject: Fix the generated copyright sections in the HTML help file. --- tools/tcltk-man2html-utils.tcl | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/tools/tcltk-man2html-utils.tcl b/tools/tcltk-man2html-utils.tcl index 8fd1245..9052049 100644 --- a/tools/tcltk-man2html-utils.tcl +++ b/tools/tcltk-man2html-utils.tcl @@ -57,9 +57,14 @@ proc copyright {copyright {level {}}} { } proc copyout {copyrights {level {}}} { + set count 0 set out "
" foreach c $copyrights { + if {$count > 0} { + append out
+ } append out "[copyright $c $level]\n" + incr count } append out "
" return $out -- cgit v0.12 From 39bf6f7c801c908cc4fff7f87e191d13f14937df Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 2 Nov 2016 12:41:04 +0000 Subject: Update http version number to 2.7.14, due to [838e99a76d] --- library/http/http.tcl | 2 +- library/http/pkgIndex.tcl | 2 +- unix/Makefile.in | 4 ++-- win/Makefile.in | 4 ++-- 4 files changed, 6 insertions(+), 6 deletions(-) diff --git a/library/http/http.tcl b/library/http/http.tcl index 2975f82..7aaa669 100644 --- a/library/http/http.tcl +++ b/library/http/http.tcl @@ -11,7 +11,7 @@ package require Tcl 8.4 # Keep this in sync with pkgIndex.tcl and with the install directories in # Makefiles -package provide http 2.7.13 +package provide http 2.7.14 namespace eval http { # Allow resourcing to not clobber existing data diff --git a/library/http/pkgIndex.tcl b/library/http/pkgIndex.tcl index be8b883..3de8e25 100644 --- a/library/http/pkgIndex.tcl +++ b/library/http/pkgIndex.tcl @@ -1,4 +1,4 @@ # Tcl package index file, version 1.1 if {![package vsatisfies [package provide Tcl] 8.4]} {return} -package ifneeded http 2.7.13 [list tclPkgSetup $dir http 2.7.13 {{http.tcl source {::http::config ::http::formatQuery ::http::geturl ::http::reset ::http::wait ::http::register ::http::unregister ::http::mapReply}}}] +package ifneeded http 2.7.14 [list tclPkgSetup $dir http 2.7.14 {{http.tcl source {::http::config ::http::formatQuery ::http::geturl ::http::reset ::http::wait ::http::register ::http::unregister ::http::mapReply}}}] diff --git a/unix/Makefile.in b/unix/Makefile.in index fc5b03f..50f4bb3 100644 --- a/unix/Makefile.in +++ b/unix/Makefile.in @@ -776,8 +776,8 @@ install-libraries: libraries $(INSTALL_TZDATA) install-msgs do \ $(INSTALL_DATA) $$i "$(SCRIPT_INSTALL_DIR)"/http1.0; \ done; - @echo "Installing package http 2.7.13 as a Tcl Module"; - @$(INSTALL_DATA) $(TOP_DIR)/library/http/http.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.4/http-2.7.13.tm; + @echo "Installing package http 2.7.14 as a Tcl Module"; + @$(INSTALL_DATA) $(TOP_DIR)/library/http/http.tcl "$(SCRIPT_INSTALL_DIR)"/../tcl8/8.4/http-2.7.14.tm; @echo "Installing package opt0.4 files to $(SCRIPT_INSTALL_DIR)/opt0.4/"; @for i in $(TOP_DIR)/library/opt/*.tcl ; \ do \ diff --git a/win/Makefile.in b/win/Makefile.in index 6376470..d9b52fa 100644 --- a/win/Makefile.in +++ b/win/Makefile.in @@ -650,8 +650,8 @@ install-libraries: libraries install-tzdata install-msgs do \ $(COPY) "$$j" "$(SCRIPT_INSTALL_DIR)/http1.0"; \ done; - @echo "Installing package http 2.7.13 as a Tcl Module"; - @$(COPY) $(ROOT_DIR)/library/http/http.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.4/http-2.7.13.tm; + @echo "Installing package http 2.7.14 as a Tcl Module"; + @$(COPY) $(ROOT_DIR)/library/http/http.tcl $(SCRIPT_INSTALL_DIR)/../tcl8/8.4/http-2.7.14.tm; @echo "Installing library opt0.4 directory"; @for j in $(ROOT_DIR)/library/opt/*.tcl; \ do \ -- cgit v0.12 From 0f21498784cb704ce6098fcc71b786e422fb2b8d Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 4 Nov 2016 11:32:44 +0000 Subject: Make packages msgcat and tcltest work unmodified in "novem". --- library/msgcat/msgcat.tcl | 2 +- library/tcltest/tcltest.tcl | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/library/msgcat/msgcat.tcl b/library/msgcat/msgcat.tcl index a43f13e..928474d 100644 --- a/library/msgcat/msgcat.tcl +++ b/library/msgcat/msgcat.tcl @@ -11,7 +11,7 @@ # See the file "license.terms" for information on usage and redistribution # of this file, and for a DISCLAIMER OF ALL WARRANTIES. -package require Tcl 8.5 +package require Tcl 8.5- # When the version number changes, be sure to update the pkgIndex.tcl file, # and the installation directory in the Makefiles. package provide msgcat 1.6.0 diff --git a/library/tcltest/tcltest.tcl b/library/tcltest/tcltest.tcl index cde2660..75975d2 100644 --- a/library/tcltest/tcltest.tcl +++ b/library/tcltest/tcltest.tcl @@ -16,7 +16,7 @@ # Contributions from Don Porter, NIST, 2002. (not subject to US copyright) # All rights reserved. -package require Tcl 8.5 ;# -verbose line uses [info frame] +package require Tcl 8.5- ;# -verbose line uses [info frame] namespace eval tcltest { # When the version number changes, be sure to update the pkgIndex.tcl file, -- cgit v0.12 From 6f7ca1db34f65411ee5779dcab9c0a0255adb713 Mon Sep 17 00:00:00 2001 From: gahr Date: Fri, 4 Nov 2016 14:21:04 +0000 Subject: [824752f10e] Avoid calling Tcl_SetObjResult if interp is NULL --- generic/tclListObj.c | 7 +++++-- 1 file changed, 5 insertions(+), 2 deletions(-) diff --git a/generic/tclListObj.c b/generic/tclListObj.c index c4b5cfc..22f1960 100644 --- a/generic/tclListObj.c +++ b/generic/tclListObj.c @@ -855,8 +855,11 @@ Tcl_ListObjReplace( } if (objc > LIST_MAX - (numElems - count)) { - Tcl_SetObjResult(interp, Tcl_ObjPrintf( - "max length of a Tcl list (%d elements) exceeded", LIST_MAX)); + if (interp != NULL) { + Tcl_SetObjResult(interp, Tcl_ObjPrintf( + "max length of a Tcl list (%d elements) exceeded", + LIST_MAX)); + } return TCL_ERROR; } isShared = (listRepPtr->refCount > 1); -- cgit v0.12 From 09077eceec17bc1586d2aefe2c38b857425045e6 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 4 Nov 2016 14:37:50 +0000 Subject: [824752f10e] More robust, portable check for integer overflow. --- generic/tclListObj.c | 7 ++----- 1 file changed, 2 insertions(+), 5 deletions(-) diff --git a/generic/tclListObj.c b/generic/tclListObj.c index 22f1960..e1dba8c 100644 --- a/generic/tclListObj.c +++ b/generic/tclListObj.c @@ -846,11 +846,8 @@ Tcl_ListObjReplace( } if (count < 0) { count = 0; - } else if (numElems < first+count || first+count < 0) { - /* - * The 'first+count < 0' condition here guards agains integer - * overflow in determining 'first+count' - */ + } else if (first > INT_MAX - count /* Handle integer overflow */ + || numElems < first+count) { count = numElems - first; } -- cgit v0.12 From 480c51780a02e0e4bb97435754100d850b948ffa Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 4 Nov 2016 14:48:36 +0000 Subject: [824752f10e] More robust, portable check for integer overflow. --- generic/tclListObj.c | 7 ++----- 1 file changed, 2 insertions(+), 5 deletions(-) diff --git a/generic/tclListObj.c b/generic/tclListObj.c index 2929423..344d0fd 100644 --- a/generic/tclListObj.c +++ b/generic/tclListObj.c @@ -897,11 +897,8 @@ Tcl_ListObjReplace( } if (count < 0) { count = 0; - } else if (numElems < first+count || first+count < 0) { - /* - * The 'first+count < 0' condition here guards agains integer - * overflow in determining 'first+count'. - */ + } else if (first > INT_MAX - count /* Handle integer overflow */ + || numElems < first+count) { count = numElems - first; } -- cgit v0.12 From 1c9ca6b643b52cbe7a965109dbda2a25c6aa65ff Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 4 Nov 2016 14:54:38 +0000 Subject: [8245752f10e] Use LIST_MAX instead of INT_MAX for unknown number of elements to the end of the list. --- generic/tclEnsemble.c | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index 6fedf29..c1b0890 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -3135,7 +3135,7 @@ TclCompileEnsemble( * any extra elements that might have been appended by failing * pathways above. */ - (void) Tcl_ListObjReplace(NULL, replaced, depth-1, INT_MAX, 0, NULL); + (void) Tcl_ListObjReplace(NULL, replaced, depth-1, LIST_MAX, 0, NULL); /* * TODO: Reconsider whether we ought to call CompileToInvokedCommand() -- cgit v0.12 From 5f1098561b5067a8f429be371166ed3b1e6189e4 Mon Sep 17 00:00:00 2001 From: dgp Date: Fri, 4 Nov 2016 21:29:30 +0000 Subject: First draft refactoring the [string first] functionality. --- generic/tclExecute.c | 4 +++ generic/tclInt.h | 2 ++ generic/tclStringObj.c | 84 ++++++++++++++++++++++++++++++++++++++++++++++++++ 3 files changed, 90 insertions(+) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 83b83f1..5ea199d 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -5720,6 +5720,9 @@ TEBCresume( NEXT_INST_V(1, 3, 1); case INST_STR_FIND: +#if 1 + match = TclStringFind(OBJ_UNDER_TOS, OBJ_AT_TOS, 0); +#else ustring1 = Tcl_GetUnicodeFromObj(OBJ_AT_TOS, &length); /* Haystack */ ustring2 = Tcl_GetUnicodeFromObj(OBJ_UNDER_TOS, &length2);/* Needle */ @@ -5734,6 +5737,7 @@ TEBCresume( } } } +#endif TRACE(("%.20s %.20s => %d\n", O2S(OBJ_UNDER_TOS), O2S(OBJ_AT_TOS), match)); diff --git a/generic/tclInt.h b/generic/tclInt.h index 8a647f0..26592f9 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -3138,6 +3138,8 @@ MODULE_SCOPE void * TclStackRealloc(Tcl_Interp *interp, void *ptr, MODULE_SCOPE int TclStringCatObjv(Tcl_Interp *interp, int inPlace, int objc, Tcl_Obj *const objv[], Tcl_Obj **objPtrPtr); +MODULE_SCOPE int TclStringFind(Tcl_Obj *needle, Tcl_Obj *haystack, + unsigned int start); MODULE_SCOPE int TclStringMatch(const char *str, int strLen, const char *pattern, int ptnLen, int flags); MODULE_SCOPE int TclStringMatchObj(Tcl_Obj *stringObj, diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index b486106..6e1529c 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2841,6 +2841,90 @@ TclStringCatObjv( /* *--------------------------------------------------------------------------- * + * TclStringFind -- + * + * Implements the [string first] operation. + * + * Results: + * If needle is found as a substring of haystack, the index of the + * first instance of such a find is returned. If needle is not present + * as a substring of haystack, -1 is returned. + * + * Side effects: + * needle and haystack may have their Tcl_ObjType changed. + * + *--------------------------------------------------------------------------- + */ + +int +TclStringFind( + Tcl_Obj *needle, + Tcl_Obj *haystack, + unsigned int start) +{ + int ln, lh; + + if (TclIsPureByteArray(needle) && TclIsPureByteArray(haystack)) { + unsigned char *end, *try, *bh; + unsigned char *bn = Tcl_GetByteArrayFromObj(needle, &ln); + + if (ln == 0) { + /* + * We don't find empty substrings. Bizarre! + * + * TODO: When we one day make this a true substring + * finder, change this to "return 0" + */ + return -1; + } + + bh = Tcl_GetByteArrayFromObj(haystack, &lh); + end = bh + lh; + + try = bh + start; + while (try + ln <= end) { + try = memchr(try, bn[0], end - try); + + if (try == NULL) { + return -1; + } + if (0 == memcmp(try+1, bn+1, ln-1)) { + return (try - bh); + } + try++; + } + return -1; + } + + /* TODO: Detect and optimize case with single byte chars only */ + + { + Tcl_UniChar *try, *end, *uh; + Tcl_UniChar *un = Tcl_GetUnicodeFromObj(needle, &ln); + + if (ln == 0) { + /* See above */ + return -1; + } + + uh = Tcl_GetUnicodeFromObj(haystack, &lh); + end = uh + lh; + + try = uh + start; + while (try + ln <= end) { + if ((*try == *un) + && (0 == memcmp(try+1, un+1, (ln-1)*sizeof(Tcl_UniChar)))) { + return (try - uh); + } + try++; + } + return -1; + } +} + +/* + *--------------------------------------------------------------------------- + * * TclStringObjReverse -- * * Implements the [string reverse] operation. -- cgit v0.12 From a4cbbc51f40fedd5a20c14571c23b10d5e311c8a Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 7 Nov 2016 19:28:25 +0000 Subject: Implement direct eval [string first] with the refactored engine. --- generic/tclCmdMZ.c | 78 +++++++----------------------------------------------- 1 file changed, 9 insertions(+), 69 deletions(-) diff --git a/generic/tclCmdMZ.c b/generic/tclCmdMZ.c index 10c2ef3..be77b1f 100644 --- a/generic/tclCmdMZ.c +++ b/generic/tclCmdMZ.c @@ -1176,8 +1176,7 @@ StringFirstCmd( int objc, /* Number of arguments. */ Tcl_Obj *const objv[]) /* Argument objects. */ { - Tcl_UniChar *needleStr, *haystackStr; - int match, start, needleLen, haystackLen; + int start = 0; if (objc < 3 || objc > 4) { Tcl_WrongNumArgs(interp, 1, objv, @@ -1185,82 +1184,23 @@ StringFirstCmd( return TCL_ERROR; } - /* - * We are searching haystackStr for the sequence needleStr. - */ - - match = -1; - start = 0; - haystackLen = -1; - - needleStr = Tcl_GetUnicodeFromObj(objv[1], &needleLen); - haystackStr = Tcl_GetUnicodeFromObj(objv[2], &haystackLen); - if (objc == 4) { - /* - * If a startIndex is specified, we will need to fast forward to that - * point in the string before we think about a match. - */ + int size = Tcl_GetCharLength(objv[2]); - if (TclGetIntForIndexM(interp, objv[3], haystackLen-1, - &start) != TCL_OK){ + if (TCL_OK != TclGetIntForIndexM(interp, objv[3], size - 1, &start)) { return TCL_ERROR; } - /* - * Reread to prevent shimmering problems. - */ - - needleStr = Tcl_GetUnicodeFromObj(objv[1], &needleLen); - haystackStr = Tcl_GetUnicodeFromObj(objv[2], &haystackLen); - - if (start >= haystackLen) { - goto str_first_done; - } else if (start > 0) { - haystackStr += start; - haystackLen -= start; - } else if (start < 0) { - /* - * Invalid start index mapped to string start; Bug #423581 - */ - + if (start < 0) { start = 0; } - } - - /* - * If the length of the needle is more than the length of the haystack, it - * cannot be contained in there so we can avoid searching. [Bug 2960021] - */ - - if (needleLen > 0 && needleLen <= haystackLen) { - register Tcl_UniChar *p, *end; - - end = haystackStr + haystackLen - needleLen + 1; - for (p = haystackStr; p < end; p++) { - /* - * Scan forward to find the first character. - */ - - if ((*p == *needleStr) && (memcmp(needleStr, p, - sizeof(Tcl_UniChar) * (size_t)needleLen) == 0)) { - match = p - haystackStr; - break; - } + if (start >= size) { + Tcl_SetObjResult(interp, Tcl_NewIntObj(-1)); + return TCL_OK; } } - - /* - * Compute the character index of the matching string by counting the - * number of characters before the match. - */ - - if ((match != -1) && (objc == 4)) { - match += start; - } - - str_first_done: - Tcl_SetObjResult(interp, Tcl_NewIntObj(match)); + Tcl_SetObjResult(interp, Tcl_NewIntObj(TclStringFind(objv[1], + objv[2], start))); return TCL_OK; } -- cgit v0.12 From b2c104021f192aefe7b82d283176e941b7f0a01e Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 7 Nov 2016 19:41:15 +0000 Subject: Consolidate the "find empty string" cases. --- generic/tclStringObj.c | 27 +++++++++++---------------- 1 file changed, 11 insertions(+), 16 deletions(-) diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index 6e1529c..0c0121e 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2862,22 +2862,22 @@ TclStringFind( Tcl_Obj *haystack, unsigned int start) { - int ln, lh; + int lh, ln = Tcl_GetCharLength(needle); + + if (ln == 0) { + /* + * We don't find empty substrings. Bizarre! + * + * TODO: When we one day make this a true substring + * finder, change this to "return 0" + */ + return -1; + } if (TclIsPureByteArray(needle) && TclIsPureByteArray(haystack)) { unsigned char *end, *try, *bh; unsigned char *bn = Tcl_GetByteArrayFromObj(needle, &ln); - if (ln == 0) { - /* - * We don't find empty substrings. Bizarre! - * - * TODO: When we one day make this a true substring - * finder, change this to "return 0" - */ - return -1; - } - bh = Tcl_GetByteArrayFromObj(haystack, &lh); end = bh + lh; @@ -2902,11 +2902,6 @@ TclStringFind( Tcl_UniChar *try, *end, *uh; Tcl_UniChar *un = Tcl_GetUnicodeFromObj(needle, &ln); - if (ln == 0) { - /* See above */ - return -1; - } - uh = Tcl_GetUnicodeFromObj(haystack, &lh); end = uh + lh; -- cgit v0.12 From 96b75029d111bab1f01acea88795c774b96b4f6e Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 7 Nov 2016 20:04:22 +0000 Subject: Optimize case of all single-byte chars. --- generic/tclStringObj.c | 22 ++++++++++++++++++++-- 1 file changed, 20 insertions(+), 2 deletions(-) diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index 0c0121e..edba881 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2896,9 +2896,27 @@ TclStringFind( return -1; } - /* TODO: Detect and optimize case with single byte chars only */ + lh = Tcl_GetCharLength(haystack); + if (haystack->bytes && (lh == haystack->length)) { + /* haystack is all single-byte chars */ - { + if (needle->bytes && (ln == needle->length)) { + /* needle is also all single-byte chars */ + char *found = strstr(haystack->bytes + start, needle->bytes); + + if (found) { + return (found - haystack->bytes); + } else { + return -1; + } + } else { + /* + * Cannot find substring with a multi-byte char inside + * a string with no multi-byte chars. + */ + return -1; + } + } else { Tcl_UniChar *try, *end, *uh; Tcl_UniChar *un = Tcl_GetUnicodeFromObj(needle, &ln); -- cgit v0.12 From b1c86e9055e5384cf165f8e509583067d4b32796 Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 7 Nov 2016 20:18:30 +0000 Subject: Purge disabled code. --- generic/tclExecute.c | 17 ----------------- 1 file changed, 17 deletions(-) diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 5ea199d..a44451f 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -5720,24 +5720,7 @@ TEBCresume( NEXT_INST_V(1, 3, 1); case INST_STR_FIND: -#if 1 match = TclStringFind(OBJ_UNDER_TOS, OBJ_AT_TOS, 0); -#else - ustring1 = Tcl_GetUnicodeFromObj(OBJ_AT_TOS, &length); /* Haystack */ - ustring2 = Tcl_GetUnicodeFromObj(OBJ_UNDER_TOS, &length2);/* Needle */ - - match = -1; - if (length2 > 0 && length2 <= length) { - end = ustring1 + length - length2 + 1; - for (p=ustring1 ; p %d\n", O2S(OBJ_UNDER_TOS), O2S(OBJ_AT_TOS), match)); -- cgit v0.12 From cad330bea5eb1c5fa6958b11506b10529846eb00 Mon Sep 17 00:00:00 2001 From: dgp Date: Tue, 8 Nov 2016 02:56:11 +0000 Subject: Route all [string last] operations through a common implementation. --- generic/tclCmdMZ.c | 67 +++++-------------------------- generic/tclExecute.c | 15 +------ generic/tclInt.h | 4 +- generic/tclStringObj.c | 106 ++++++++++++++++++++++++++++++++++++++++++++++++- tests/string.test | 4 +- 5 files changed, 122 insertions(+), 74 deletions(-) diff --git a/generic/tclCmdMZ.c b/generic/tclCmdMZ.c index be77b1f..e9a6933 100644 --- a/generic/tclCmdMZ.c +++ b/generic/tclCmdMZ.c @@ -1229,76 +1229,31 @@ StringLastCmd( int objc, /* Number of arguments. */ Tcl_Obj *const objv[]) /* Argument objects. */ { - Tcl_UniChar *needleStr, *haystackStr, *p; - int match, start, needleLen, haystackLen; + int last = INT_MAX - 1; if (objc < 3 || objc > 4) { Tcl_WrongNumArgs(interp, 1, objv, - "needleString haystackString ?startIndex?"); + "needleString haystackString ?lastIndex?"); return TCL_ERROR; } - /* - * We are searching haystackString for the sequence needleString. - */ - - match = -1; - start = 0; - haystackLen = -1; - - needleStr = Tcl_GetUnicodeFromObj(objv[1], &needleLen); - haystackStr = Tcl_GetUnicodeFromObj(objv[2], &haystackLen); - if (objc == 4) { - /* - * If a startIndex is specified, we will need to restrict the string - * range to that char index in the string - */ + int size = Tcl_GetCharLength(objv[2]); - if (TclGetIntForIndexM(interp, objv[3], haystackLen-1, - &start) != TCL_OK){ + if (TCL_OK != TclGetIntForIndexM(interp, objv[3], size - 1, &last)) { return TCL_ERROR; } - /* - * Reread to prevent shimmering problems. - */ - - needleStr = Tcl_GetUnicodeFromObj(objv[1], &needleLen); - haystackStr = Tcl_GetUnicodeFromObj(objv[2], &haystackLen); - - if (start < 0) { - goto str_last_done; - } else if (start < haystackLen) { - p = haystackStr + start + 1 - needleLen; - } else { - p = haystackStr + haystackLen - needleLen; + if (last < 0) { + Tcl_SetObjResult(interp, Tcl_NewIntObj(-1)); + return TCL_OK; } - } else { - p = haystackStr + haystackLen - needleLen; - } - - /* - * If the length of the needle is more than the length of the haystack, it - * cannot be contained in there so we can avoid searching. [Bug 2960021] - */ - - if (needleLen > 0 && needleLen <= haystackLen) { - for (; p >= haystackStr; p--) { - /* - * Scan backwards to find the first character. - */ - - if ((*p == *needleStr) && !memcmp(needleStr, p, - sizeof(Tcl_UniChar) * (size_t)needleLen)) { - match = p - haystackStr; - break; - } + if (last >= size) { + last = size - 1; } } - - str_last_done: - Tcl_SetObjResult(interp, Tcl_NewIntObj(match)); + Tcl_SetObjResult(interp, Tcl_NewIntObj(TclStringLast(objv[1], + objv[2], last))); return TCL_OK; } diff --git a/generic/tclExecute.c b/generic/tclExecute.c index a44451f..0d48071 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -5728,23 +5728,10 @@ TEBCresume( NEXT_INST_F(1, 2, 1); case INST_STR_FIND_LAST: - ustring1 = Tcl_GetUnicodeFromObj(OBJ_AT_TOS, &length); /* Haystack */ - ustring2 = Tcl_GetUnicodeFromObj(OBJ_UNDER_TOS, &length2);/* Needle */ - - match = -1; - if (length2 > 0 && length2 <= length) { - for (p=ustring1+length-length2 ; p>=ustring1 ; p--) { - if ((*p == *ustring2) && - memcmp(ustring2,p,sizeof(Tcl_UniChar)*length2) == 0) { - match = p - ustring1; - break; - } - } - } + match = TclStringLast(OBJ_UNDER_TOS, OBJ_AT_TOS, INT_MAX - 1); TRACE(("%.20s %.20s => %d\n", O2S(OBJ_UNDER_TOS), O2S(OBJ_AT_TOS), match)); - TclNewIntObj(objResultPtr, match); NEXT_INST_F(1, 2, 1); diff --git a/generic/tclInt.h b/generic/tclInt.h index 26592f9..e468f3d 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -3139,7 +3139,9 @@ MODULE_SCOPE int TclStringCatObjv(Tcl_Interp *interp, int inPlace, int objc, Tcl_Obj *const objv[], Tcl_Obj **objPtrPtr); MODULE_SCOPE int TclStringFind(Tcl_Obj *needle, Tcl_Obj *haystack, - unsigned int start); + int start); +MODULE_SCOPE int TclStringLast(Tcl_Obj *needle, Tcl_Obj *haystack, + int last); MODULE_SCOPE int TclStringMatch(const char *str, int strLen, const char *pattern, int ptnLen, int flags); MODULE_SCOPE int TclStringMatchObj(Tcl_Obj *stringObj, diff --git a/generic/tclStringObj.c b/generic/tclStringObj.c index edba881..f7791fe 100644 --- a/generic/tclStringObj.c +++ b/generic/tclStringObj.c @@ -2860,7 +2860,7 @@ int TclStringFind( Tcl_Obj *needle, Tcl_Obj *haystack, - unsigned int start) + int start) { int lh, ln = Tcl_GetCharLength(needle); @@ -2938,6 +2938,110 @@ TclStringFind( /* *--------------------------------------------------------------------------- * + * TclStringLast -- + * + * Implements the [string last] operation. + * + * Results: + * If needle is found as a substring of haystack, the index of the + * last instance of such a find is returned. If needle is not present + * as a substring of haystack, -1 is returned. + * + * Side effects: + * needle and haystack may have their Tcl_ObjType changed. + * + *--------------------------------------------------------------------------- + */ + +int +TclStringLast( + Tcl_Obj *needle, + Tcl_Obj *haystack, + int last) +{ + int lh, ln = Tcl_GetCharLength(needle); + + if (ln == 0) { + /* + * We don't find empty substrings. Bizarre! + * + * TODO: When we one day make this a true substring + * finder, change this to "return 0" + */ + return -1; + } + + if (ln > last + 1) { + return -1; + } + + if (TclIsPureByteArray(needle) && TclIsPureByteArray(haystack)) { + unsigned char *try, *bh; + unsigned char *bn = Tcl_GetByteArrayFromObj(needle, &ln); + + bh = Tcl_GetByteArrayFromObj(haystack, &lh); + + if (last + 1 > lh) { + last = lh - 1; + } + try = bh + last + 1 - ln; + while (try >= bh) { + if ((*try == bn[0]) + && (0 == memcmp(try+1, bn+1, ln-1))) { + return (try - bh); + } + try--; + } + return -1; + } + + lh = Tcl_GetCharLength(haystack); + if (last + 1 > lh) { + last = lh - 1; + } + if (haystack->bytes && (lh == haystack->length)) { + /* haystack is all single-byte chars */ + + if (needle->bytes && (ln == needle->length)) { + /* needle is also all single-byte chars */ + + char *try = haystack->bytes + last + 1 - ln; + while (try >= haystack->bytes) { + if ((*try == needle->bytes[0]) + && (0 == memcmp(try+1, needle->bytes + 1, ln - 1))) { + return (try - haystack->bytes); + } + try--; + } + return -1; + } else { + /* + * Cannot find substring with a multi-byte char inside + * a string with no multi-byte chars. + */ + return -1; + } + } else { + Tcl_UniChar *try, *uh; + Tcl_UniChar *un = Tcl_GetUnicodeFromObj(needle, &ln); + + uh = Tcl_GetUnicodeFromObj(haystack, &lh); + + try = uh + last + 1 - ln; + while (try >= uh) { + if ((*try == un[0]) + && (0 == memcmp(try+1, un+1, (ln-1)*sizeof(Tcl_UniChar)))) { + return (try - uh); + } + try--; + } + return -1; + } +} + +/* + *--------------------------------------------------------------------------- + * * TclStringObjReverse -- * * Implements the [string reverse] operation. diff --git a/tests/string.test b/tests/string.test index 5fdb510..11cbcff 100644 --- a/tests/string.test +++ b/tests/string.test @@ -756,13 +756,13 @@ catch {rename largest_int {}} test string-7.1 {string last, too few args} { list [catch {string last a} msg] $msg -} {1 {wrong # args: should be "string last needleString haystackString ?startIndex?"}} +} {1 {wrong # args: should be "string last needleString haystackString ?lastIndex?"}} test string-7.2 {string last, bad args} { list [catch {string last a b c} msg] $msg } {1 {bad index "c": must be integer?[+-]integer? or end?[+-]integer?}} test string-7.3 {string last, too many args} { list [catch {string last a b c d} msg] $msg -} {1 {wrong # args: should be "string last needleString haystackString ?startIndex?"}} +} {1 {wrong # args: should be "string last needleString haystackString ?lastIndex?"}} test string-7.4 {string last} { string la xxx xxxx123xx345x678 } 1 -- cgit v0.12 From 8d91041a73bf5f80947854d55f3d226494df1e45 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 10 Nov 2016 14:19:28 +0000 Subject: On OSX, there is a conflict with the "define panic" and definitions in "mach.h". --- generic/tcl.h | 2 ++ 1 file changed, 2 insertions(+) diff --git a/generic/tcl.h b/generic/tcl.h index 3037ceb..a8ebaed 100644 --- a/generic/tcl.h +++ b/generic/tcl.h @@ -2631,7 +2631,9 @@ EXTERN void Tcl_GetMemoryInfo(Tcl_DString *dsPtr); # define Tcl_Ckrealloc Tcl_Realloc # define Tcl_Return Tcl_SetResult # define Tcl_TildeSubst Tcl_TranslateFileName +#ifndef MAC_OSX_TCL /* On OSX, there is a conflict with "mach.h" */ # define panic Tcl_Panic +#endif # define panicVA Tcl_PanicVA #endif /* !TCL_NO_DEPRECATED */ -- cgit v0.12 From 5341582764e9fd525adc2b70e060a7c338dd5ee8 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 11 Nov 2016 10:53:10 +0000 Subject: Fix [79614fb8b61983ac8ef30ea8752c310465798fc7|79614fb8b6]: "glob", "encoding system" and encoding-free filesystems --- generic/tclEncoding.c | 3 ++- generic/tclIOUtil.c | 4 ++-- 2 files changed, 4 insertions(+), 3 deletions(-) diff --git a/generic/tclEncoding.c b/generic/tclEncoding.c index 54a49aa..6c16827 100644 --- a/generic/tclEncoding.c +++ b/generic/tclEncoding.c @@ -979,7 +979,7 @@ Tcl_GetEncodingNames( * Side effects: * The reference count of the new system encoding is incremented. The * reference count of the old system encoding is decremented and it may - * be freed. + * be freed. All VFS cached information is invalidated. * *------------------------------------------------------------------------ */ @@ -1010,6 +1010,7 @@ Tcl_SetSystemEncoding( FreeEncoding(systemEncoding); systemEncoding = encoding; Tcl_MutexUnlock(&encodingMutex); + Tcl_FSMountsChanged(NULL); return TCL_OK; } diff --git a/generic/tclIOUtil.c b/generic/tclIOUtil.c index 82ffd88..e1c5709 100644 --- a/generic/tclIOUtil.c +++ b/generic/tclIOUtil.c @@ -699,8 +699,8 @@ FsGetFirstFilesystem(void) } /* - * The epoch can be changed both by filesystems being added or removed and by - * env(HOME) changing. + * The epoch can be changed by filesystems being added or removed, by changing + * the "system encoding" and by env(HOME) changing. */ int -- cgit v0.12 From 5ce60a33287e4745db2567abbed8ae8cc909b8c2 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 11 Nov 2016 14:53:58 +0000 Subject: Fix harmless gcc warning message: using "unsigned" doesn't serve any purpose, actually. --- generic/tclInt.decls | 2 +- generic/tclIntPlatDecls.h | 12 ++++++------ generic/tclTest.c | 6 +++--- unix/tclUnixCompat.c | 4 ++-- win/tclWin32Dll.c | 4 ++-- win/tclWinTime.c | 2 +- 6 files changed, 15 insertions(+), 15 deletions(-) diff --git a/generic/tclInt.decls b/generic/tclInt.decls index c00dff1..8314925 100644 --- a/generic/tclInt.decls +++ b/generic/tclInt.decls @@ -1246,7 +1246,7 @@ declare 19 macosx { } declare 29 {win unix} { - int TclWinCPUID(unsigned int index, unsigned int *regs) + int TclWinCPUID(int index, int *regs) } # Added in 8.6; core of TclpOpenTemporaryFile declare 30 {win unix} { diff --git a/generic/tclIntPlatDecls.h b/generic/tclIntPlatDecls.h index ac06787..494d6f1 100644 --- a/generic/tclIntPlatDecls.h +++ b/generic/tclIntPlatDecls.h @@ -98,7 +98,7 @@ EXTERN int TclUnixCopyFile(const char *src, const char *dst, /* Slot 27 is reserved */ /* Slot 28 is reserved */ /* 29 */ -EXTERN int TclWinCPUID(unsigned int index, unsigned int *regs); +EXTERN int TclWinCPUID(int index, int *regs); /* 30 */ EXTERN int TclUnixOpenTemporaryFile(Tcl_Obj *dirObj, Tcl_Obj *basenameObj, Tcl_Obj *extensionObj, @@ -173,7 +173,7 @@ EXTERN void TclWinFlushDirtyChannels(void); /* 28 */ EXTERN void TclWinResetInterfaces(void); /* 29 */ -EXTERN int TclWinCPUID(unsigned int index, unsigned int *regs); +EXTERN int TclWinCPUID(int index, int *regs); /* 30 */ EXTERN int TclUnixOpenTemporaryFile(Tcl_Obj *dirObj, Tcl_Obj *basenameObj, Tcl_Obj *extensionObj, @@ -247,7 +247,7 @@ EXTERN void TclMacOSXNotifierAddRunLoopMode( /* Slot 27 is reserved */ /* Slot 28 is reserved */ /* 29 */ -EXTERN int TclWinCPUID(unsigned int index, unsigned int *regs); +EXTERN int TclWinCPUID(int index, int *regs); /* 30 */ EXTERN int TclUnixOpenTemporaryFile(Tcl_Obj *dirObj, Tcl_Obj *basenameObj, Tcl_Obj *extensionObj, @@ -288,7 +288,7 @@ typedef struct TclIntPlatStubs { void (*reserved26)(void); void (*reserved27)(void); void (*reserved28)(void); - int (*tclWinCPUID) (unsigned int index, unsigned int *regs); /* 29 */ + int (*tclWinCPUID) (int index, int *regs); /* 29 */ int (*tclUnixOpenTemporaryFile) (Tcl_Obj *dirObj, Tcl_Obj *basenameObj, Tcl_Obj *extensionObj, Tcl_Obj *resultingNameObj); /* 30 */ #endif /* UNIX */ #if defined(_WIN32) || defined(__CYGWIN__) /* WIN */ @@ -321,7 +321,7 @@ typedef struct TclIntPlatStubs { void (*tclWinSetInterfaces) (int wide); /* 26 */ void (*tclWinFlushDirtyChannels) (void); /* 27 */ void (*tclWinResetInterfaces) (void); /* 28 */ - int (*tclWinCPUID) (unsigned int index, unsigned int *regs); /* 29 */ + int (*tclWinCPUID) (int index, int *regs); /* 29 */ int (*tclUnixOpenTemporaryFile) (Tcl_Obj *dirObj, Tcl_Obj *basenameObj, Tcl_Obj *extensionObj, Tcl_Obj *resultingNameObj); /* 30 */ #endif /* WIN */ #ifdef MAC_OSX_TCL /* MACOSX */ @@ -354,7 +354,7 @@ typedef struct TclIntPlatStubs { void (*reserved26)(void); void (*reserved27)(void); void (*reserved28)(void); - int (*tclWinCPUID) (unsigned int index, unsigned int *regs); /* 29 */ + int (*tclWinCPUID) (int index, int *regs); /* 29 */ int (*tclUnixOpenTemporaryFile) (Tcl_Obj *dirObj, Tcl_Obj *basenameObj, Tcl_Obj *extensionObj, Tcl_Obj *resultingNameObj); /* 30 */ #endif /* MACOSX */ } TclIntPlatStubs; diff --git a/generic/tclTest.c b/generic/tclTest.c index 47d85e1..e30c4d0 100644 --- a/generic/tclTest.c +++ b/generic/tclTest.c @@ -6751,7 +6751,7 @@ TestcpuidCmd( Tcl_Obj *const * objv) /* Parameter vector */ { int status, index, i; - unsigned int regs[4]; + int regs[4]; Tcl_Obj *regsObjs[4]; if (objc != 2) { @@ -6761,14 +6761,14 @@ TestcpuidCmd( if (Tcl_GetIntFromObj(interp, objv[1], &index) != TCL_OK) { return TCL_ERROR; } - status = TclWinCPUID((unsigned) index, regs); + status = TclWinCPUID(index, regs); if (status != TCL_OK) { Tcl_SetObjResult(interp, Tcl_NewStringObj("operation not available", -1)); return status; } for (i=0 ; i<4 ; ++i) { - regsObjs[i] = Tcl_NewIntObj((int) regs[i]); + regsObjs[i] = Tcl_NewIntObj(regs[i]); } Tcl_SetObjResult(interp, Tcl_NewListObj(4, regsObjs)); return TCL_OK; diff --git a/unix/tclUnixCompat.c b/unix/tclUnixCompat.c index 1247061..ea6067e 100644 --- a/unix/tclUnixCompat.c +++ b/unix/tclUnixCompat.c @@ -988,8 +988,8 @@ CopyString( int TclWinCPUID( - unsigned int index, /* Which CPUID value to retrieve. */ - unsigned int *regsPtr) /* Registers after the CPUID. */ + int index, /* Which CPUID value to retrieve. */ + int *regsPtr) /* Registers after the CPUID. */ { int status = TCL_ERROR; diff --git a/win/tclWin32Dll.c b/win/tclWin32Dll.c index 688fa8d..d8a8717 100644 --- a/win/tclWin32Dll.c +++ b/win/tclWin32Dll.c @@ -603,8 +603,8 @@ Tcl_WinTCharToUtf( int TclWinCPUID( - unsigned int index, /* Which CPUID value to retrieve. */ - unsigned int *regsPtr) /* Registers after the CPUID. */ + int index, /* Which CPUID value to retrieve. */ + int *regsPtr) /* Registers after the CPUID. */ { int status = TCL_ERROR; diff --git a/win/tclWinTime.c b/win/tclWinTime.c index 7b5c18a..f4e08fa 100644 --- a/win/tclWinTime.c +++ b/win/tclWinTime.c @@ -341,7 +341,7 @@ NativeGetTime( */ SYSTEM_INFO systemInfo; - unsigned int regs[4]; + int regs[4]; GetSystemInfo(&systemInfo); if (TclWinCPUID(0, regs) == TCL_OK -- cgit v0.12 From afdcf4fe9ca39a7388f020b9a44fb487547195e7 Mon Sep 17 00:00:00 2001 From: venkat Date: Sat, 12 Nov 2016 11:18:31 +0000 Subject: Update to tzdata2016i from IETF --- library/tzdata/Antarctica/Casey | 1 + library/tzdata/Europe/Malta | 28 +++--- library/tzdata/Europe/Rome | 33 +++---- library/tzdata/Pacific/Tongatapu | 185 +++++++++++++++++++++++++++++++++++++-- 4 files changed, 208 insertions(+), 39 deletions(-) diff --git a/library/tzdata/Antarctica/Casey b/library/tzdata/Antarctica/Casey index 3035ab9..beb0f9e 100644 --- a/library/tzdata/Antarctica/Casey +++ b/library/tzdata/Antarctica/Casey @@ -7,4 +7,5 @@ set TZData(:Antarctica/Casey) { {1267714800 28800 0 +08} {1319738400 39600 0 +11} {1329843600 28800 0 +08} + {1477065600 39600 0 +11} } diff --git a/library/tzdata/Europe/Malta b/library/tzdata/Europe/Malta index b84f68e..0ebe2f6 100644 --- a/library/tzdata/Europe/Malta +++ b/library/tzdata/Europe/Malta @@ -3,23 +3,23 @@ set TZData(:Europe/Malta) { {-9223372036854775808 3484 0 LMT} {-2403478684 3600 0 CET} - {-1690851600 7200 1 CEST} - {-1680483600 3600 0 CET} + {-1690765200 7200 1 CEST} + {-1680487200 3600 0 CET} {-1664758800 7200 1 CEST} - {-1649034000 3600 0 CET} + {-1648951200 3600 0 CET} {-1635123600 7200 1 CEST} - {-1616979600 3600 0 CET} + {-1616896800 3600 0 CET} {-1604278800 7200 1 CEST} - {-1585530000 3600 0 CET} + {-1585533600 3600 0 CET} {-1571014800 7200 1 CEST} - {-1555290000 3600 0 CET} + {-1555293600 3600 0 CET} {-932432400 7200 1 CEST} {-857257200 3600 0 CET} {-844556400 7200 1 CEST} {-828226800 3600 0 CET} - {-812502000 7200 1 CEST} - {-796777200 3600 0 CET} - {-781052400 7200 0 CEST} + {-812588400 7200 1 CEST} + {-798073200 3600 0 CET} + {-781052400 7200 1 CEST} {-766717200 3600 0 CET} {-750898800 7200 1 CEST} {-733359600 3600 0 CET} @@ -30,17 +30,17 @@ set TZData(:Europe/Malta) { {-114051600 7200 1 CEST} {-103168800 3600 0 CET} {-81997200 7200 1 CEST} - {-71719200 3600 0 CET} + {-71715600 3600 0 CET} {-50547600 7200 1 CEST} - {-40269600 3600 0 CET} + {-40266000 3600 0 CET} {-18493200 7200 1 CEST} - {-8215200 3600 0 CET} + {-8211600 3600 0 CET} {12956400 7200 1 CEST} - {23234400 3600 0 CET} + {23238000 3600 0 CET} {43801200 7200 1 CEST} {54687600 3600 0 CET} {75855600 7200 1 CEST} - {86738400 3600 0 CET} + {86742000 3600 0 CET} {102380400 7200 0 CEST} {118105200 3600 0 CET} {135730800 7200 1 CEST} diff --git a/library/tzdata/Europe/Rome b/library/tzdata/Europe/Rome index 64948b8..f53340c 100644 --- a/library/tzdata/Europe/Rome +++ b/library/tzdata/Europe/Rome @@ -3,24 +3,25 @@ set TZData(:Europe/Rome) { {-9223372036854775808 2996 0 LMT} {-3259097396 2996 0 RMT} - {-2403564596 3600 0 CET} - {-1690851600 7200 1 CEST} - {-1680483600 3600 0 CET} + {-2403565200 3600 0 CET} + {-1690765200 7200 1 CEST} + {-1680487200 3600 0 CET} {-1664758800 7200 1 CEST} - {-1649034000 3600 0 CET} + {-1648951200 3600 0 CET} {-1635123600 7200 1 CEST} - {-1616979600 3600 0 CET} + {-1616896800 3600 0 CET} {-1604278800 7200 1 CEST} - {-1585530000 3600 0 CET} + {-1585533600 3600 0 CET} {-1571014800 7200 1 CEST} - {-1555290000 3600 0 CET} + {-1555293600 3600 0 CET} {-932432400 7200 1 CEST} {-857257200 3600 0 CET} {-844556400 7200 1 CEST} + {-830307600 7200 0 CEST} {-828226800 3600 0 CET} {-812502000 7200 1 CEST} - {-804819600 3600 0 CET} - {-798080400 3600 0 CET} + {-807152400 7200 0 CEST} + {-798073200 3600 0 CET} {-781052400 7200 1 CEST} {-766717200 3600 0 CET} {-750898800 7200 1 CEST} @@ -32,21 +33,21 @@ set TZData(:Europe/Rome) { {-114051600 7200 1 CEST} {-103168800 3600 0 CET} {-81997200 7200 1 CEST} - {-71719200 3600 0 CET} + {-71715600 3600 0 CET} {-50547600 7200 1 CEST} - {-40269600 3600 0 CET} + {-40266000 3600 0 CET} {-18493200 7200 1 CEST} - {-8215200 3600 0 CET} + {-8211600 3600 0 CET} {12956400 7200 1 CEST} - {23234400 3600 0 CET} + {23238000 3600 0 CET} {43801200 7200 1 CEST} {54687600 3600 0 CET} {75855600 7200 1 CEST} - {86738400 3600 0 CET} + {86742000 3600 0 CET} {107910000 7200 1 CEST} - {118188000 3600 0 CET} + {118191600 3600 0 CET} {138754800 7200 1 CEST} - {149637600 3600 0 CET} + {149641200 3600 0 CET} {170809200 7200 1 CEST} {181090800 3600 0 CET} {202258800 7200 1 CEST} diff --git a/library/tzdata/Pacific/Tongatapu b/library/tzdata/Pacific/Tongatapu index da9f857..731b4f6 100644 --- a/library/tzdata/Pacific/Tongatapu +++ b/library/tzdata/Pacific/Tongatapu @@ -2,13 +2,180 @@ set TZData(:Pacific/Tongatapu) { {-9223372036854775808 44360 0 LMT} - {-2177497160 44400 0 TOT} - {-915193200 46800 0 TOT} - {915102000 46800 0 TOT} - {939214800 50400 1 TOST} - {953384400 46800 0 TOT} - {973342800 50400 1 TOST} - {980596800 46800 0 TOT} - {1004792400 50400 1 TOST} - {1012046400 46800 0 TOT} + {-2177497160 44400 0 +1220} + {-915193200 46800 0 +13} + {915102000 46800 0 +13} + {939214800 50400 1 +14} + {953384400 46800 0 +13} + {973342800 50400 1 +14} + {980596800 46800 0 +13} + {1004792400 50400 1 +14} + {1012046400 46800 0 +13} + {1478350800 50400 1 +14} + {1484398800 46800 0 +13} + {1509800400 50400 1 +14} + {1516453200 46800 0 +13} + {1541250000 50400 1 +14} + {1547902800 46800 0 +13} + {1572699600 50400 1 +14} + {1579352400 46800 0 +13} + {1604149200 50400 1 +14} + {1610802000 46800 0 +13} + {1636203600 50400 1 +14} + {1642251600 46800 0 +13} + {1667653200 50400 1 +14} + {1673701200 46800 0 +13} + {1699102800 50400 1 +14} + {1705755600 46800 0 +13} + {1730552400 50400 1 +14} + {1737205200 46800 0 +13} + {1762002000 50400 1 +14} + {1768654800 46800 0 +13} + {1793451600 50400 1 +14} + {1800104400 46800 0 +13} + {1825506000 50400 1 +14} + {1831554000 46800 0 +13} + {1856955600 50400 1 +14} + {1863608400 46800 0 +13} + {1888405200 50400 1 +14} + {1895058000 46800 0 +13} + {1919854800 50400 1 +14} + {1926507600 46800 0 +13} + {1951304400 50400 1 +14} + {1957957200 46800 0 +13} + {1983358800 50400 1 +14} + {1989406800 46800 0 +13} + {2014808400 50400 1 +14} + {2020856400 46800 0 +13} + {2046258000 50400 1 +14} + {2052910800 46800 0 +13} + {2077707600 50400 1 +14} + {2084360400 46800 0 +13} + {2109157200 50400 1 +14} + {2115810000 46800 0 +13} + {2140606800 50400 1 +14} + {2147259600 46800 0 +13} + {2172661200 50400 1 +14} + {2178709200 46800 0 +13} + {2204110800 50400 1 +14} + {2210158800 46800 0 +13} + {2235560400 50400 1 +14} + {2242213200 46800 0 +13} + {2267010000 50400 1 +14} + {2273662800 46800 0 +13} + {2298459600 50400 1 +14} + {2305112400 46800 0 +13} + {2329909200 50400 1 +14} + {2336562000 46800 0 +13} + {2361963600 50400 1 +14} + {2368011600 46800 0 +13} + {2393413200 50400 1 +14} + {2400066000 46800 0 +13} + {2424862800 50400 1 +14} + {2431515600 46800 0 +13} + {2456312400 50400 1 +14} + {2462965200 46800 0 +13} + {2487762000 50400 1 +14} + {2494414800 46800 0 +13} + {2519816400 50400 1 +14} + {2525864400 46800 0 +13} + {2551266000 50400 1 +14} + {2557314000 46800 0 +13} + {2582715600 50400 1 +14} + {2589368400 46800 0 +13} + {2614165200 50400 1 +14} + {2620818000 46800 0 +13} + {2645614800 50400 1 +14} + {2652267600 46800 0 +13} + {2677064400 50400 1 +14} + {2683717200 46800 0 +13} + {2709118800 50400 1 +14} + {2715166800 46800 0 +13} + {2740568400 50400 1 +14} + {2747221200 46800 0 +13} + {2772018000 50400 1 +14} + {2778670800 46800 0 +13} + {2803467600 50400 1 +14} + {2810120400 46800 0 +13} + {2834917200 50400 1 +14} + {2841570000 46800 0 +13} + {2866971600 50400 1 +14} + {2873019600 46800 0 +13} + {2898421200 50400 1 +14} + {2904469200 46800 0 +13} + {2929870800 50400 1 +14} + {2936523600 46800 0 +13} + {2961320400 50400 1 +14} + {2967973200 46800 0 +13} + {2992770000 50400 1 +14} + {2999422800 46800 0 +13} + {3024219600 50400 1 +14} + {3030872400 46800 0 +13} + {3056274000 50400 1 +14} + {3062322000 46800 0 +13} + {3087723600 50400 1 +14} + {3093771600 46800 0 +13} + {3119173200 50400 1 +14} + {3125826000 46800 0 +13} + {3150622800 50400 1 +14} + {3157275600 46800 0 +13} + {3182072400 50400 1 +14} + {3188725200 46800 0 +13} + {3213522000 50400 1 +14} + {3220174800 46800 0 +13} + {3245576400 50400 1 +14} + {3251624400 46800 0 +13} + {3277026000 50400 1 +14} + {3283678800 46800 0 +13} + {3308475600 50400 1 +14} + {3315128400 46800 0 +13} + {3339925200 50400 1 +14} + {3346578000 46800 0 +13} + {3371374800 50400 1 +14} + {3378027600 46800 0 +13} + {3403429200 50400 1 +14} + {3409477200 46800 0 +13} + {3434878800 50400 1 +14} + {3440926800 46800 0 +13} + {3466328400 50400 1 +14} + {3472981200 46800 0 +13} + {3497778000 50400 1 +14} + {3504430800 46800 0 +13} + {3529227600 50400 1 +14} + {3535880400 46800 0 +13} + {3560677200 50400 1 +14} + {3567330000 46800 0 +13} + {3592731600 50400 1 +14} + {3598779600 46800 0 +13} + {3624181200 50400 1 +14} + {3630834000 46800 0 +13} + {3655630800 50400 1 +14} + {3662283600 46800 0 +13} + {3687080400 50400 1 +14} + {3693733200 46800 0 +13} + {3718530000 50400 1 +14} + {3725182800 46800 0 +13} + {3750584400 50400 1 +14} + {3756632400 46800 0 +13} + {3782034000 50400 1 +14} + {3788082000 46800 0 +13} + {3813483600 50400 1 +14} + {3820136400 46800 0 +13} + {3844933200 50400 1 +14} + {3851586000 46800 0 +13} + {3876382800 50400 1 +14} + {3883035600 46800 0 +13} + {3907832400 50400 1 +14} + {3914485200 46800 0 +13} + {3939886800 50400 1 +14} + {3945934800 46800 0 +13} + {3971336400 50400 1 +14} + {3977384400 46800 0 +13} + {4002786000 50400 1 +14} + {4009438800 46800 0 +13} + {4034235600 50400 1 +14} + {4040888400 46800 0 +13} + {4065685200 50400 1 +14} + {4072338000 46800 0 +13} + {4097134800 50400 1 +14} } -- cgit v0.12 From a9263ba9069329f5c9f64a6a965cfce12f18ab15 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 14 Nov 2016 14:20:13 +0000 Subject: Better fix for the usability of TCL_NO_DEPRECATED on MacOSX. --- generic/tcl.h | 2 ++ 1 file changed, 2 insertions(+) diff --git a/generic/tcl.h b/generic/tcl.h index 4fb5bb2..f79eb86 100644 --- a/generic/tcl.h +++ b/generic/tcl.h @@ -2418,7 +2418,9 @@ EXTERN void Tcl_GetMemoryInfo _ANSI_ARGS_((Tcl_DString *dsPtr)); # define Tcl_Ckrealloc Tcl_Realloc # define Tcl_Return Tcl_SetResult # define Tcl_TildeSubst Tcl_TranslateFileName +#if !defined(__APPLE__) /* On OSX, there is a conflict with "mach/mach.h" */ # define panic Tcl_Panic +#endif # define panicVA Tcl_PanicVA #endif -- cgit v0.12 From def4c8ce29b135940f12eb623a5bebb5bafd67fa Mon Sep 17 00:00:00 2001 From: dgp Date: Mon, 14 Nov 2016 17:01:37 +0000 Subject: See Itcl Bug [1b28657c0e]. The methodNameType fails to honor the Tcl_ObjType contract. Need dkf review on suitability of this fix. --- generic/tclOOCall.c | 1 + 1 file changed, 1 insertion(+) diff --git a/generic/tclOOCall.c b/generic/tclOOCall.c index 1797760..814fb0b 100644 --- a/generic/tclOOCall.c +++ b/generic/tclOOCall.c @@ -179,6 +179,7 @@ StashCallChain( CallChain *callPtr) { callPtr->refCount++; + Tcl_GetString(objPtr); TclFreeIntRep(objPtr); objPtr->typePtr = &methodNameType; objPtr->internalRep.twoPtrValue.ptr1 = callPtr; -- cgit v0.12 From 47302d8e0457f8f002223bf6c5536f9226fbd59c Mon Sep 17 00:00:00 2001 From: dkf Date: Tue, 15 Nov 2016 13:31:02 +0000 Subject: Slightly more efficient version as this is Hot Path code. --- generic/tclOOCall.c | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/generic/tclOOCall.c b/generic/tclOOCall.c index 814fb0b..8003345 100644 --- a/generic/tclOOCall.c +++ b/generic/tclOOCall.c @@ -179,7 +179,7 @@ StashCallChain( CallChain *callPtr) { callPtr->refCount++; - Tcl_GetString(objPtr); + TclGetString(objPtr); TclFreeIntRep(objPtr); objPtr->typePtr = &methodNameType; objPtr->internalRep.twoPtrValue.ptr1 = callPtr; -- cgit v0.12 From 29606e4a7b43adb9f923fb5781d3b9a93d9ba1c8 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 16 Nov 2016 10:55:40 +0000 Subject: Use more "size_t" in stead of "int" internall. Also eliminate a lot of type-casts which are not necessary any more. --- compat/opendir.c | 2 +- compat/waitpid.c | 2 +- generic/tclBasic.c | 18 +++++++++--------- generic/tclCompCmdsSZ.c | 8 ++++---- generic/tclCompile.c | 8 ++++---- generic/tclConfig.c | 8 ++++---- generic/tclEncoding.c | 22 +++++++++++----------- generic/tclEnsemble.c | 2 +- generic/tclExecute.c | 8 ++++---- generic/tclIORChan.c | 18 +++++++++--------- generic/tclIORTrans.c | 26 +++++++++++++------------- generic/tclInt.h | 26 +++++++++++++------------- generic/tclListObj.c | 2 +- generic/tclOODefineCmds.c | 12 ++++++------ generic/tclOOInt.h | 2 +- generic/tclUtil.c | 27 +++++++++++++-------------- macosx/tclMacOSXFCmd.c | 6 +++--- unix/tclUnixInit.c | 9 +++++---- unix/tclUnixSock.c | 6 +++--- win/tclWin32Dll.c | 2 +- win/tclWinInit.c | 17 +++++++++-------- win/tclWinPort.h | 2 +- win/tclWinSock.c | 6 +++--- win/tclWinThrd.c | 2 +- 24 files changed, 121 insertions(+), 120 deletions(-) diff --git a/compat/opendir.c b/compat/opendir.c index 22e8a3a..7a49566 100644 --- a/compat/opendir.c +++ b/compat/opendir.c @@ -106,5 +106,5 @@ closedir( close(dirp->dd_fd); dirp->dd_fd = -1; dirp->dd_loc = 0; - ckfree((char *) dirp); + ckfree(dirp); } diff --git a/compat/waitpid.c b/compat/waitpid.c index e03275a..d4473a8 100644 --- a/compat/waitpid.c +++ b/compat/waitpid.c @@ -100,7 +100,7 @@ waitpid( } else { prevPtr->nextPtr = waitPtr->nextPtr; } - ckfree((char *) waitPtr); + ckfree(waitPtr); return result; } diff --git a/generic/tclBasic.c b/generic/tclBasic.c index 53023d8..39f2dd4 100644 --- a/generic/tclBasic.c +++ b/generic/tclBasic.c @@ -966,11 +966,11 @@ Tcl_CreateInterp(void) Tcl_PkgProvideEx(interp, "Tcl", TCL_PATCH_LEVEL, &tclStubs); if (TclTommath_Init(interp) != TCL_OK) { - Tcl_Panic("%s", Tcl_GetString(Tcl_GetObjResult(interp))); + Tcl_Panic("%s", TclGetString(Tcl_GetObjResult(interp))); } if (TclOOInit(interp) != TCL_OK) { - Tcl_Panic("%s", Tcl_GetString(Tcl_GetObjResult(interp))); + Tcl_Panic("%s", TclGetString(Tcl_GetObjResult(interp))); } /* @@ -980,7 +980,7 @@ Tcl_CreateInterp(void) #ifdef HAVE_ZLIB if (TclZlibInit(interp) != TCL_OK) { - Tcl_Panic("%s", Tcl_GetString(Tcl_GetObjResult(interp))); + Tcl_Panic("%s", TclGetString(Tcl_GetObjResult(interp))); } #endif @@ -1635,7 +1635,7 @@ DeleteInterpProc( } Tcl_DeleteHashTable(iPtr->lineLAPtr); - ckfree((char *) iPtr->lineLAPtr); + ckfree(iPtr->lineLAPtr); iPtr->lineLAPtr = NULL; if (iPtr->lineLABCPtr->numEntries && !TclInExit()) { @@ -2403,7 +2403,7 @@ TclInvokeStringCommand( TclStackAlloc(interp, (unsigned)(objc + 1) * sizeof(char *)); for (i = 0; i < objc; i++) { - argv[i] = Tcl_GetString(objv[i]); + argv[i] = TclGetString(objv[i]); } argv[objc] = 0; @@ -2657,7 +2657,7 @@ TclRenameCommand( } Tcl_DStringAppend(&newFullName, newTail, -1); cmdPtr->refCount++; - CallCommandTraces(iPtr, cmdPtr, Tcl_GetString(oldFullName), + CallCommandTraces(iPtr, cmdPtr, TclGetString(oldFullName), Tcl_DStringValue(&newFullName), TCL_TRACE_RENAME); Tcl_DStringFree(&newFullName); @@ -3523,7 +3523,7 @@ OldMathFuncProc( Tcl_SetObjResult(interp, Tcl_NewStringObj( "argument to math function didn't have numeric value", -1)); - TclCheckBadOctal(interp, Tcl_GetString(valuePtr)); + TclCheckBadOctal(interp, TclGetString(valuePtr)); ckfree(args); return TCL_ERROR; } @@ -7884,7 +7884,7 @@ MathFuncWrongNumArgs( int found, /* Actual parameter count. */ Tcl_Obj *const *objv) /* Actual parameter vector. */ { - const char *name = Tcl_GetString(objv[0]); + const char *name = TclGetString(objv[0]); const char *tail = name + strlen(name); while (tail > name+1) { @@ -8817,7 +8817,7 @@ TclNRInterpCoroutine( if (!COR_IS_SUSPENDED(corPtr)) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "coroutine \"%s\" is already running", - Tcl_GetString(objv[0]))); + TclGetString(objv[0]))); Tcl_SetErrorCode(interp, "TCL", "COROUTINE", "BUSY", NULL); return TCL_ERROR; } diff --git a/generic/tclCompCmdsSZ.c b/generic/tclCompCmdsSZ.c index 10b3cc8..25d10d6 100644 --- a/generic/tclCompCmdsSZ.c +++ b/generic/tclCompCmdsSZ.c @@ -1902,10 +1902,10 @@ TclCompileSwitchCmd( } if (numWords % 2) { abort: - ckfree((char *) bodyToken); - ckfree((char *) bodyTokenArray); - ckfree((char *) bodyLines); - ckfree((char *) bodyContLines); + ckfree(bodyToken); + ckfree(bodyTokenArray); + ckfree(bodyLines); + ckfree(bodyContLines); return TCL_ERROR; } } else if (numWords % 2 || numWords == 0) { diff --git a/generic/tclCompile.c b/generic/tclCompile.c index c588731..c02a940 100644 --- a/generic/tclCompile.c +++ b/generic/tclCompile.c @@ -1380,14 +1380,14 @@ ReleaseCmdWordData( Tcl_DecrRefCount(eclPtr->path); } for (i=0 ; inuloc ; i++) { - ckfree((char *) eclPtr->loc[i].line); + ckfree(eclPtr->loc[i].line); } if (eclPtr->loc != NULL) { - ckfree((char *) eclPtr->loc); + ckfree(eclPtr->loc); } - ckfree((char *) eclPtr); + ckfree(eclPtr); } /* @@ -1801,7 +1801,7 @@ CompileCmdLiteral( extraLiteralFlags |= LITERAL_UNSHARED; } - bytes = Tcl_GetStringFromObj(cmdObj, &numBytes); + bytes = TclGetStringFromObj(cmdObj, &numBytes); cmdLitIdx = TclRegisterLiteral(envPtr, bytes, numBytes, extraLiteralFlags); if (cmdPtr) { diff --git a/generic/tclConfig.c b/generic/tclConfig.c index 2fb3e92..eb6807c 100644 --- a/generic/tclConfig.c +++ b/generic/tclConfig.c @@ -232,7 +232,7 @@ QueryConfigObjCmd( Tcl_SetObjResult(interp, Tcl_NewStringObj("package not known", -1)); Tcl_SetErrorCode(interp, "TCL", "FATAL", "PKGCFG_BASE", - Tcl_GetString(pkgName), NULL); + TclGetString(pkgName), NULL); return TCL_ERROR; } @@ -247,7 +247,7 @@ QueryConfigObjCmd( || val == NULL) { Tcl_SetObjResult(interp, Tcl_NewStringObj("key not known", -1)); Tcl_SetErrorCode(interp, "TCL", "LOOKUP", "CONFIG", - Tcl_GetString(objv[2]), NULL); + TclGetString(objv[2]), NULL); return TCL_ERROR; } @@ -333,9 +333,9 @@ QueryConfigDelete( Tcl_DictObjRemove(NULL, pDB, pkgName); Tcl_DecrRefCount(pkgName); if (cdPtr->encoding) { - ckfree((char *)cdPtr->encoding); + ckfree(cdPtr->encoding); } - ckfree((char *)cdPtr); + ckfree(cdPtr); } /* diff --git a/generic/tclEncoding.c b/generic/tclEncoding.c index 42be211..8a4dc3b 100644 --- a/generic/tclEncoding.c +++ b/generic/tclEncoding.c @@ -305,7 +305,7 @@ Tcl_GetEncodingFromObj( Tcl_Obj *objPtr, Tcl_Encoding *encodingPtr) { - const char *name = Tcl_GetString(objPtr); + const char *name = TclGetString(objPtr); if (objPtr->typePtr != &encodingType) { Tcl_Encoding encoding = Tcl_GetEncoding(interp, name); @@ -705,7 +705,7 @@ Tcl_GetDefaultEncodingDir(void) } Tcl_ListObjIndex(NULL, searchPath, 0, &first); - return Tcl_GetString(first); + return TclGetString(first); } /* @@ -1519,10 +1519,10 @@ OpenEncodingFileChannel( } } if (!verified) { - const char *dirString = Tcl_GetString(directory); + const char *dirString = TclGetString(directory); for (i=0; itoUnicode[hi] = pageMemPtr; p += 2; @@ -3600,11 +3600,11 @@ unilen( static void InitializeEncodingSearchPath( char **valuePtr, - int *lengthPtr, + size_t *lengthPtr, Tcl_Encoding *encodingPtr) { const char *bytes; - int i, numDirs, numBytes; + int i, numDirs; Tcl_Obj *libPathObj, *encodingObj, *searchPathObj; TclNewLiteralStringObj(encodingObj, "encoding"); @@ -3634,11 +3634,11 @@ InitializeEncodingSearchPath( if (*encodingPtr) { ((Encoding *)(*encodingPtr))->refCount++; } - bytes = TclGetStringFromObj(searchPathObj, &numBytes); + bytes = TclGetString(searchPathObj); - *lengthPtr = numBytes; - *valuePtr = ckalloc(numBytes + 1); - memcpy(*valuePtr, bytes, (size_t) numBytes + 1); + *lengthPtr = searchPathObj->length; + *valuePtr = ckalloc(*lengthPtr + 1); + memcpy(*valuePtr, bytes, *lengthPtr + 1); Tcl_DecrRefCount(searchPathObj); } diff --git a/generic/tclEnsemble.c b/generic/tclEnsemble.c index a499ce9..c6407a4 100644 --- a/generic/tclEnsemble.c +++ b/generic/tclEnsemble.c @@ -1605,7 +1605,7 @@ TclMakeEnsemble( Tcl_DStringFree(&buf); Tcl_DStringFree(&hiddenBuf); if (nameParts != NULL) { - ckfree((char *) nameParts); + ckfree(nameParts); } return ensemble; } diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 0d48071..1cfc030 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -1274,7 +1274,7 @@ TclStackFree( Tcl_Obj **markerPtr, *marker; if (iPtr == NULL || iPtr->execEnvPtr == NULL) { - ckfree((char *) freePtr); + ckfree(freePtr); return; } @@ -2537,7 +2537,7 @@ TEBCresume( /* FIXME: What is the right thing to trace? */ fprintf(stdout, "%d: (%u) yielding to [%.30s]\n", iPtr->numLevels, (unsigned)(pc - codePtr->codeStart), - Tcl_GetString(valuePtr)); + TclGetString(valuePtr)); } fflush(stdout); } @@ -9558,7 +9558,7 @@ ValidatePcAndStackTop( TclNewLiteralStringObj(message, "\n executing "); Tcl_IncrRefCount(message); Tcl_AppendLimitedToObj(message, cmd, numChars, 100, NULL); - fprintf(stderr,"%s\n", Tcl_GetString(message)); + fprintf(stderr,"%s\n", TclGetString(message)); Tcl_DecrRefCount(message); } else { fprintf(stderr, "\n"); @@ -10021,7 +10021,7 @@ TclExprFloatError( "unknown floating-point error, errno = %d", errno); Tcl_SetErrorCode(interp, "ARITH", "UNKNOWN", - Tcl_GetString(objPtr), NULL); + TclGetString(objPtr), NULL); Tcl_SetObjResult(interp, objPtr); } } diff --git a/generic/tclIORChan.c b/generic/tclIORChan.c index 1089d2b..2fed3f4 100644 --- a/generic/tclIORChan.c +++ b/generic/tclIORChan.c @@ -591,7 +591,7 @@ TclChanCreateObjCmd( if (Tcl_ListObjGetElements(NULL, resObj, &listc, &listv) != TCL_OK) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "chan handler \"%s initialize\" returned non-list: %s", - Tcl_GetString(cmdObj), Tcl_GetString(resObj))); + TclGetString(cmdObj), TclGetString(resObj))); Tcl_DecrRefCount(resObj); goto error; } @@ -617,35 +617,35 @@ TclChanCreateObjCmd( if ((REQUIRED_METHODS & methods) != REQUIRED_METHODS) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "chan handler \"%s\" does not support all required methods", - Tcl_GetString(cmdObj))); + TclGetString(cmdObj))); goto error; } if ((mode & TCL_READABLE) && !HAS(methods, METH_READ)) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "chan handler \"%s\" lacks a \"read\" method", - Tcl_GetString(cmdObj))); + TclGetString(cmdObj))); goto error; } if ((mode & TCL_WRITABLE) && !HAS(methods, METH_WRITE)) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "chan handler \"%s\" lacks a \"write\" method", - Tcl_GetString(cmdObj))); + TclGetString(cmdObj))); goto error; } if (!IMPLIES(HAS(methods, METH_CGET), HAS(methods, METH_CGETALL))) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "chan handler \"%s\" supports \"cget\" but not \"cgetall\"", - Tcl_GetString(cmdObj))); + TclGetString(cmdObj))); goto error; } if (!IMPLIES(HAS(methods, METH_CGETALL), HAS(methods, METH_CGET))) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "chan handler \"%s\" supports \"cgetall\" but not \"cget\"", - Tcl_GetString(cmdObj))); + TclGetString(cmdObj))); goto error; } @@ -1152,7 +1152,7 @@ ReflectClose( tctPtr = ((Channel *)rcPtr->chan)->typePtr; if (tctPtr && tctPtr != &tclRChannelType) { - ckfree((char *)tctPtr); + ckfree(tctPtr); ((Channel *)rcPtr->chan)->typePtr = NULL; } Tcl_EventuallyFree(rcPtr, (Tcl_FreeProc *) FreeReflectedChannel); @@ -1221,7 +1221,7 @@ ReflectClose( #endif tctPtr = ((Channel *)rcPtr->chan)->typePtr; if (tctPtr && tctPtr != &tclRChannelType) { - ckfree((char *)tctPtr); + ckfree(tctPtr); ((Channel *)rcPtr->chan)->typePtr = NULL; } Tcl_EventuallyFree(rcPtr, (Tcl_FreeProc *) FreeReflectedChannel); @@ -2398,7 +2398,7 @@ ErrnoReturn( if (((Tcl_GetIntFromObj(rcPtr->interp, resObj, &code) != TCL_OK) || (code >= 0))) { - if (strcmp("EAGAIN", Tcl_GetString(resObj)) == 0) { + if (strcmp("EAGAIN", TclGetString(resObj)) == 0) { code = -EAGAIN; } else { code = 0; diff --git a/generic/tclIORTrans.c b/generic/tclIORTrans.c index 47e0bc8..8375926 100644 --- a/generic/tclIORTrans.c +++ b/generic/tclIORTrans.c @@ -554,7 +554,7 @@ TclChanPushObjCmd( */ chanObj = objv[CHAN]; - parentChan = Tcl_GetChannel(interp, Tcl_GetString(chanObj), &mode); + parentChan = Tcl_GetChannel(interp, TclGetString(chanObj), &mode); if (parentChan == NULL) { return TCL_ERROR; } @@ -608,7 +608,7 @@ TclChanPushObjCmd( if (Tcl_ListObjGetElements(NULL, resObj, &listc, &listv) != TCL_OK) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "chan handler \"%s initialize\" returned non-list: %s", - Tcl_GetString(cmdObj), Tcl_GetString(resObj))); + TclGetString(cmdObj), TclGetString(resObj))); Tcl_DecrRefCount(resObj); goto error; } @@ -619,7 +619,7 @@ TclChanPushObjCmd( "method", TCL_EXACT, &methIndex) != TCL_OK) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "chan handler \"%s initialize\" returned %s", - Tcl_GetString(cmdObj), + TclGetString(cmdObj), Tcl_GetString(Tcl_GetObjResult(interp)))); Tcl_DecrRefCount(resObj); goto error; @@ -633,7 +633,7 @@ TclChanPushObjCmd( if ((REQUIRED_METHODS & methods) != REQUIRED_METHODS) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "chan handler \"%s\" does not support all required methods", - Tcl_GetString(cmdObj))); + TclGetString(cmdObj))); goto error; } @@ -655,7 +655,7 @@ TclChanPushObjCmd( if (!mode) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "chan handler \"%s\" makes the channel inaccessible", - Tcl_GetString(cmdObj))); + TclGetString(cmdObj))); goto error; } @@ -666,14 +666,14 @@ TclChanPushObjCmd( if (!IMPLIES(HAS(methods, METH_DRAIN), HAS(methods, METH_READ))) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "chan handler \"%s\" supports \"drain\" but not \"read\"", - Tcl_GetString(cmdObj))); + TclGetString(cmdObj))); goto error; } if (!IMPLIES(HAS(methods, METH_FLUSH), HAS(methods, METH_WRITE))) { Tcl_SetObjResult(interp, Tcl_ObjPrintf( "chan handler \"%s\" supports \"flush\" but not \"write\"", - Tcl_GetString(cmdObj))); + TclGetString(cmdObj))); goto error; } @@ -694,14 +694,14 @@ TclChanPushObjCmd( */ rtmPtr = GetReflectedTransformMap(interp); - hPtr = Tcl_CreateHashEntry(&rtmPtr->map, Tcl_GetString(rtId), &isNew); + hPtr = Tcl_CreateHashEntry(&rtmPtr->map, TclGetString(rtId), &isNew); if (!isNew && rtPtr != Tcl_GetHashValue(hPtr)) { Tcl_Panic("TclChanPushObjCmd: duplicate transformation handle"); } Tcl_SetHashValue(hPtr, rtPtr); #ifdef TCL_THREADS rtmPtr = GetThreadReflectedTransformMap(); - hPtr = Tcl_CreateHashEntry(&rtmPtr->map, Tcl_GetString(rtId), &isNew); + hPtr = Tcl_CreateHashEntry(&rtmPtr->map, TclGetString(rtId), &isNew); Tcl_SetHashValue(hPtr, rtPtr); #endif /* TCL_THREADS */ @@ -1027,7 +1027,7 @@ ReflectClose( #ifdef TCL_THREADS rtmPtr = GetThreadReflectedTransformMap(); - hPtr = Tcl_FindHashEntry(&rtmPtr->map, Tcl_GetString(rtPtr->handle)); + hPtr = Tcl_FindHashEntry(&rtmPtr->map, TclGetString(rtPtr->handle)); if (hPtr) { Tcl_DeleteHashEntry(hPtr); } @@ -2568,7 +2568,7 @@ ForwardProc( */ rtmPtr = GetReflectedTransformMap(interp); - hPtr = Tcl_FindHashEntry(&rtmPtr->map, Tcl_GetString(rtPtr->handle)); + hPtr = Tcl_FindHashEntry(&rtmPtr->map, TclGetString(rtPtr->handle)); Tcl_DeleteHashEntry(hPtr); /* @@ -2578,7 +2578,7 @@ ForwardProc( */ rtmPtr = GetThreadReflectedTransformMap(); - hPtr = Tcl_FindHashEntry(&rtmPtr->map, Tcl_GetString(rtPtr->handle)); + hPtr = Tcl_FindHashEntry(&rtmPtr->map, TclGetString(rtPtr->handle)); Tcl_DeleteHashEntry(hPtr); FreeReflectedTransformArgs(rtPtr); @@ -2955,7 +2955,7 @@ ResultClear( return; } - ckfree((char *) rPtr->buf); + ckfree(rPtr->buf); rPtr->buf = NULL; rPtr->allocated = 0; } diff --git a/generic/tclInt.h b/generic/tclInt.h index e468f3d..3e55004 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -2608,7 +2608,7 @@ typedef Tcl_ObjCmdProc *TclObjCmdProcType; *---------------------------------------------------------------- */ -typedef void (TclInitProcessGlobalValueProc)(char **valuePtr, int *lengthPtr, +typedef void (TclInitProcessGlobalValueProc)(char **valuePtr, size_t *lengthPtr, Tcl_Encoding *encodingPtr); /* @@ -2620,9 +2620,9 @@ typedef void (TclInitProcessGlobalValueProc)(char **valuePtr, int *lengthPtr, */ typedef struct ProcessGlobalValue { - int epoch; /* Epoch counter to detect changes in the + size_t epoch; /* Epoch counter to detect changes in the * master value. */ - int numBytes; /* Length of the master string. */ + size_t numBytes; /* Length of the master string. */ char *value; /* The master string value. */ Tcl_Encoding encoding; /* system encoding when master string was * initialized. */ @@ -3072,7 +3072,7 @@ MODULE_SCOPE int TclpThreadCreate(Tcl_ThreadId *idPtr, int stackSize, int flags); MODULE_SCOPE int TclpFindVariable(const char *name, int *lengthPtr); MODULE_SCOPE void TclpInitLibraryPath(char **valuePtr, - int *lengthPtr, Tcl_Encoding *encodingPtr); + size_t *lengthPtr, Tcl_Encoding *encodingPtr); MODULE_SCOPE void TclpInitLock(void); MODULE_SCOPE void TclpInitPlatform(void); MODULE_SCOPE void TclpInitUnlock(void); @@ -4074,7 +4074,7 @@ typedef const char *TclDTraceStr; TCL_DTRACE_OBJ_FREE(objPtr); \ if ((objPtr)->bytes \ && ((objPtr)->bytes != tclEmptyStringRep)) { \ - ckfree((char *) (objPtr)->bytes); \ + ckfree((objPtr)->bytes); \ } \ (objPtr)->length = -1; \ TclFreeObjStorage(objPtr); \ @@ -4097,7 +4097,7 @@ typedef const char *TclDTraceStr; (objPtr) = (Tcl_Obj *) ckalloc(sizeof(Tcl_Obj)) # define TclFreeObjStorageEx(interp, objPtr) \ - ckfree((char *) (objPtr)) + ckfree(objPtr) #undef USE_THREAD_ALLOC #undef USE_TCLALLOC @@ -4256,7 +4256,7 @@ MODULE_SCOPE void TclDbInitNewObj(Tcl_Obj *objPtr, const char *file, */ #define TclGetString(objPtr) \ - ((objPtr)->bytes? (objPtr)->bytes : Tcl_GetString((objPtr))) + ((objPtr)->bytes? (objPtr)->bytes : Tcl_GetString(objPtr)) #define TclGetStringFromObj(objPtr, lenPtr) \ ((objPtr)->bytes \ @@ -4291,11 +4291,11 @@ MODULE_SCOPE void TclDbInitNewObj(Tcl_Obj *objPtr, const char *file, */ #define TclInvalidateStringRep(objPtr) \ - if (objPtr->bytes != NULL) { \ - if (objPtr->bytes != tclEmptyStringRep) { \ - ckfree((char *) objPtr->bytes); \ + if ((objPtr)->bytes != NULL) { \ + if ((objPtr)->bytes != tclEmptyStringRep) { \ + ckfree((objPtr)->bytes); \ } \ - objPtr->bytes = NULL; \ + (objPtr)->bytes = NULL; \ } /* @@ -4706,7 +4706,7 @@ MODULE_SCOPE Tcl_PackageInitProc Procbodytest_SafeInit; #define TclCleanupCommandMacro(cmdPtr) \ if ((cmdPtr)->refCount-- <= 1) { \ - ckfree((char *) (cmdPtr));\ + ckfree(cmdPtr);\ } /* @@ -4864,7 +4864,7 @@ typedef struct NRE_callback { #else #define TCLNR_ALLOC(interp, ptr) \ (ptr = ((ClientData) ckalloc(sizeof(NRE_callback)))) -#define TCLNR_FREE(interp, ptr) ckfree((char *) (ptr)) +#define TCLNR_FREE(interp, ptr) ckfree(ptr) #endif #if NRE_ENABLE_ASSERTS diff --git a/generic/tclListObj.c b/generic/tclListObj.c index 344d0fd..c9fd333 100644 --- a/generic/tclListObj.c +++ b/generic/tclListObj.c @@ -1898,7 +1898,7 @@ SetListFromAny( while (--elemPtrs >= &listRepPtr->elements) { Tcl_DecrRefCount(*elemPtrs); } - ckfree((char *) listRepPtr); + ckfree(listRepPtr); return TCL_ERROR; } if (elemStart == limit) { diff --git a/generic/tclOODefineCmds.c b/generic/tclOODefineCmds.c index 8c3f28c..5b0dfc3 100644 --- a/generic/tclOODefineCmds.c +++ b/generic/tclOODefineCmds.c @@ -2217,7 +2217,7 @@ ClassSuperSet( "attempt to form circular dependency graph", -1)); Tcl_SetErrorCode(interp, "TCL", "OO", "CIRCULARITY", NULL); failedAfterAlloc: - ckfree((char *) superclasses); + ckfree(superclasses); return TCL_ERROR; } } @@ -2234,7 +2234,7 @@ ClassSuperSet( FOREACH(superPtr, oPtr->classPtr->superclasses) { TclOORemoveFromSubclasses(oPtr->classPtr, superPtr); } - ckfree((char *) oPtr->classPtr->superclasses.list); + ckfree(oPtr->classPtr->superclasses.list); } oPtr->classPtr->superclasses.list = superclasses; oPtr->classPtr->superclasses.num = superc; @@ -2323,7 +2323,7 @@ ClassVarsSet( } for (i=0 ; iclassPtr->variables.list); + ckfree(oPtr->classPtr->variables.list); } else if (i) { oPtr->classPtr->variables.list = (Tcl_Obj **) ckrealloc((char *) oPtr->classPtr->variables.list, @@ -2604,7 +2604,7 @@ ObjVarsSet( } for (i=0 ; ivariables.list); + ckfree(oPtr->variables.list); } else if (i) { oPtr->variables.list = (Tcl_Obj **) ckrealloc((char *) oPtr->variables.list, diff --git a/generic/tclOOInt.h b/generic/tclOOInt.h index b75ffdb..ae24dee 100644 --- a/generic/tclOOInt.h +++ b/generic/tclOOInt.h @@ -592,7 +592,7 @@ MODULE_SCOPE void TclOOSetupVariableResolver(Tcl_Namespace *nsPtr); #define AddRef(ptr) ((ptr)->refCount++) #define DelRef(ptr) do { \ if ((ptr)->refCount-- <= 1) { \ - ckfree((char *) (ptr)); \ + ckfree(ptr); \ } \ } while(0) diff --git a/generic/tclUtil.c b/generic/tclUtil.c index f0c7f77..531f386 100644 --- a/generic/tclUtil.c +++ b/generic/tclUtil.c @@ -2953,7 +2953,7 @@ Tcl_DStringGetResult( dsPtr->length = 0; dsPtr->spaceAvl = TCL_DSTRING_STATIC_SIZE; } else { - dsPtr->string = Tcl_GetString(iPtr->objResultPtr); + dsPtr->string = TclGetString(iPtr->objResultPtr); dsPtr->length = iPtr->objResultPtr->length; dsPtr->spaceAvl = dsPtr->length + 1; TclFreeIntRep(iPtr->objResultPtr); @@ -3639,7 +3639,7 @@ TclGetIntForIndex( parseError: if (interp != NULL) { - bytes = Tcl_GetString(objPtr); + bytes = TclGetString(objPtr); Tcl_SetObjResult(interp, Tcl_ObjPrintf( "bad index \"%s\": must be integer?[+-]integer? or" " end?[+-]integer?", bytes)); @@ -4000,9 +4000,10 @@ TclSetProcessGlobalValue( } else { Tcl_CreateExitHandler(FreeProcessGlobalValue, pgvPtr); } - bytes = TclGetStringFromObj(newValue, &pgvPtr->numBytes); + bytes = TclGetString(newValue); + pgvPtr->numBytes = newValue->length; pgvPtr->value = ckalloc(pgvPtr->numBytes + 1); - memcpy(pgvPtr->value, bytes, (unsigned) pgvPtr->numBytes + 1); + memcpy(pgvPtr->value, bytes, pgvPtr->numBytes + 1); if (pgvPtr->encoding) { Tcl_FreeEncoding(pgvPtr->encoding); } @@ -4017,7 +4018,7 @@ TclSetProcessGlobalValue( Tcl_IncrRefCount(newValue); cacheMap = GetThreadHash(&pgvPtr->key); ClearHash(cacheMap); - hPtr = Tcl_CreateHashEntry(cacheMap, INT2PTR(pgvPtr->epoch), &dummy); + hPtr = Tcl_CreateHashEntry(cacheMap, (void *)(pgvPtr->epoch), &dummy); Tcl_SetHashValue(hPtr, newValue); Tcl_MutexUnlock(&pgvPtr->mutex); } @@ -4043,7 +4044,7 @@ TclGetProcessGlobalValue( Tcl_Obj *value = NULL; Tcl_HashTable *cacheMap; Tcl_HashEntry *hPtr; - int epoch = pgvPtr->epoch; + size_t epoch = pgvPtr->epoch; if (pgvPtr->encoding) { Tcl_Encoding current = Tcl_GetEncoding(NULL, NULL); @@ -4058,8 +4059,7 @@ TclGetProcessGlobalValue( Tcl_DString native, newValue; Tcl_MutexLock(&pgvPtr->mutex); - pgvPtr->epoch++; - epoch = pgvPtr->epoch; + epoch = ++pgvPtr->epoch; Tcl_UtfToExternalDString(pgvPtr->encoding, pgvPtr->value, pgvPtr->numBytes, &native); Tcl_ExternalToUtfDString(current, Tcl_DStringValue(&native), @@ -4078,7 +4078,7 @@ TclGetProcessGlobalValue( } } cacheMap = GetThreadHash(&pgvPtr->key); - hPtr = Tcl_FindHashEntry(cacheMap, (char *) INT2PTR(epoch)); + hPtr = Tcl_FindHashEntry(cacheMap, (void *) (epoch)); if (NULL == hPtr) { int dummy; @@ -4111,7 +4111,7 @@ TclGetProcessGlobalValue( value = Tcl_NewStringObj(pgvPtr->value, pgvPtr->numBytes); hPtr = Tcl_CreateHashEntry(cacheMap, - INT2PTR(pgvPtr->epoch), &dummy); + (void *)(pgvPtr->epoch), &dummy); Tcl_MutexUnlock(&pgvPtr->mutex); Tcl_SetHashValue(hPtr, value); Tcl_IncrRefCount(value); @@ -4194,11 +4194,10 @@ TclGetObjNameOfExecutable(void) const char * Tcl_GetNameOfExecutable(void) { - int numBytes; - const char *bytes = - Tcl_GetStringFromObj(TclGetObjNameOfExecutable(), &numBytes); + Tcl_Obj *obj = TclGetObjNameOfExecutable(); + const char *bytes = TclGetString(obj); - if (numBytes == 0) { + if (obj->length == 0) { return NULL; } return bytes; diff --git a/macosx/tclMacOSXFCmd.c b/macosx/tclMacOSXFCmd.c index 946e350..75fda4b 100644 --- a/macosx/tclMacOSXFCmd.c +++ b/macosx/tclMacOSXFCmd.c @@ -636,12 +636,12 @@ SetOSTypeFromAny( Tcl_Obj *objPtr) /* Pointer to the object to convert */ { const char *string; - int length, result = TCL_OK; + int result = TCL_OK; Tcl_DString ds; Tcl_Encoding encoding = Tcl_GetEncoding(NULL, "macRoman"); - string = TclGetStringFromObj(objPtr, &length); - Tcl_UtfToExternalDString(encoding, string, length, &ds); + string = TclGetString(objPtr); + Tcl_UtfToExternalDString(encoding, string, objPtr->length, &ds); if (Tcl_DStringLength(&ds) > 4) { if (interp) { diff --git a/unix/tclUnixInit.c b/unix/tclUnixInit.c index 31177a3..1e35b92 100644 --- a/unix/tclUnixInit.c +++ b/unix/tclUnixInit.c @@ -453,7 +453,7 @@ TclpInitPlatform(void) void TclpInitLibraryPath( char **valuePtr, - int *lengthPtr, + size_t *lengthPtr, Tcl_Encoding *encodingPtr) { #define LIBRARY_SIZE 32 @@ -542,9 +542,10 @@ TclpInitLibraryPath( Tcl_DStringFree(&buffer); *encodingPtr = Tcl_GetEncoding(NULL, NULL); - str = TclGetStringFromObj(pathPtr, lengthPtr); - *valuePtr = ckalloc((*lengthPtr) + 1); - memcpy(*valuePtr, str, (size_t)(*lengthPtr)+1); + str = TclGetString(pathPtr); + *lengthPtr = pathPtr->length; + *valuePtr = ckalloc(*lengthPtr + 1); + memcpy(*valuePtr, str, *lengthPtr + 1); Tcl_DecrRefCount(pathPtr); } diff --git a/unix/tclUnixSock.c b/unix/tclUnixSock.c index 5d11a28..170aea9 100644 --- a/unix/tclUnixSock.c +++ b/unix/tclUnixSock.c @@ -203,7 +203,7 @@ void printaddrinfo(struct addrinfo *addrlist, char *prefix) static void InitializeHostName( char **valuePtr, - int *lengthPtr, + size_t *lengthPtr, Tcl_Encoding *encodingPtr) { const char *native = NULL; @@ -271,8 +271,8 @@ InitializeHostName( *encodingPtr = Tcl_GetEncoding(NULL, NULL); *lengthPtr = strlen(native); - *valuePtr = ckalloc((*lengthPtr) + 1); - memcpy(*valuePtr, native, (size_t)(*lengthPtr)+1); + *valuePtr = ckalloc(*lengthPtr + 1); + memcpy(*valuePtr, native, *lengthPtr + 1); } /* diff --git a/win/tclWin32Dll.c b/win/tclWin32Dll.c index d8a8717..e4adb1d 100644 --- a/win/tclWin32Dll.c +++ b/win/tclWin32Dll.c @@ -49,7 +49,7 @@ BOOL APIENTRY DllMain(HINSTANCE hInst, DWORD reason, */ typedef struct MountPointMap { - const TCHAR *volumeName; /* Native wide string volume name. */ + TCHAR *volumeName; /* Native wide string volume name. */ TCHAR driveLetter; /* Drive letter corresponding to the volume * name. */ struct MountPointMap *nextPtr; diff --git a/win/tclWinInit.c b/win/tclWinInit.c index b5a07aa..d2ee7e1 100644 --- a/win/tclWinInit.c +++ b/win/tclWinInit.c @@ -172,7 +172,7 @@ TclpInitPlatform(void) void TclpInitLibraryPath( char **valuePtr, - int *lengthPtr, + size_t *lengthPtr, Tcl_Encoding *encodingPtr) { #define LIBRARY_SIZE 64 @@ -214,9 +214,10 @@ TclpInitLibraryPath( TclGetProcessGlobalValue(&sourceLibraryDir)); *encodingPtr = NULL; - bytes = TclGetStringFromObj(pathPtr, lengthPtr); - *valuePtr = ckalloc((*lengthPtr) + 1); - memcpy(*valuePtr, bytes, (size_t)(*lengthPtr)+1); + bytes = TclGetString(pathPtr); + *lengthPtr = pathPtr->length; + *valuePtr = ckalloc(*lengthPtr + 1); + memcpy(*valuePtr, bytes, *lengthPtr + 1); Tcl_DecrRefCount(pathPtr); } @@ -334,7 +335,7 @@ AppendEnvironment( static void InitializeDefaultLibraryDir( char **valuePtr, - int *lengthPtr, + size_t *lengthPtr, Tcl_Encoding *encodingPtr) { HMODULE hModule = TclWinGetTclInstance(); @@ -361,7 +362,7 @@ InitializeDefaultLibraryDir( *lengthPtr = strlen(name); *valuePtr = ckalloc(*lengthPtr + 1); *encodingPtr = NULL; - memcpy(*valuePtr, name, (size_t) *lengthPtr + 1); + memcpy(*valuePtr, name, *lengthPtr + 1); } /* @@ -385,7 +386,7 @@ InitializeDefaultLibraryDir( static void InitializeSourceLibraryDir( char **valuePtr, - int *lengthPtr, + size_t *lengthPtr, Tcl_Encoding *encodingPtr) { HMODULE hModule = TclWinGetTclInstance(); @@ -412,7 +413,7 @@ InitializeSourceLibraryDir( *lengthPtr = strlen(name); *valuePtr = ckalloc(*lengthPtr + 1); *encodingPtr = NULL; - memcpy(*valuePtr, name, (size_t) *lengthPtr + 1); + memcpy(*valuePtr, name, *lengthPtr + 1); } /* diff --git a/win/tclWinPort.h b/win/tclWinPort.h index 159a708..41201c7 100644 --- a/win/tclWinPort.h +++ b/win/tclWinPort.h @@ -551,7 +551,7 @@ typedef DWORD_PTR * PDWORD_PTR; * address platform-specific issues. */ -#define TclpReleaseFile(file) ckfree((char *) file) +#define TclpReleaseFile(file) ckfree(file) /* * The following macros and declarations wrap the C runtime library diff --git a/win/tclWinSock.c b/win/tclWinSock.c index 4690708..ec881d2 100644 --- a/win/tclWinSock.c +++ b/win/tclWinSock.c @@ -331,7 +331,7 @@ void printaddrinfolist(struct addrinfo *addrlist, char *prefix) void InitializeHostName( char **valuePtr, - int *lengthPtr, + size_t *lengthPtr, Tcl_Encoding *encodingPtr) { TCHAR tbuf[MAX_COMPUTERNAME_LENGTH + 1]; @@ -368,8 +368,8 @@ InitializeHostName( *encodingPtr = Tcl_GetEncoding(NULL, "utf-8"); *lengthPtr = Tcl_DStringLength(&ds); - *valuePtr = ckalloc((*lengthPtr) + 1); - memcpy(*valuePtr, Tcl_DStringValue(&ds), (size_t)(*lengthPtr)+1); + *valuePtr = ckalloc(*lengthPtr + 1); + memcpy(*valuePtr, Tcl_DStringValue(&ds), *lengthPtr + 1); Tcl_DStringFree(&ds); } diff --git a/win/tclWinThrd.c b/win/tclWinThrd.c index e46b0a0..b9cde72 100644 --- a/win/tclWinThrd.c +++ b/win/tclWinThrd.c @@ -180,7 +180,7 @@ TclWinThreadStart( lpOrigStartAddress = winThreadPtr->lpStartAddress; lpOrigParameter = winThreadPtr->lpParameter; - ckfree((char *)winThreadPtr); + ckfree(winThreadPtr); return lpOrigStartAddress(lpOrigParameter); } -- cgit v0.12 From 2adcff3e5ba6e09366ef4208ab81768803ba15bd Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Wed, 16 Nov 2016 13:04:26 +0000 Subject: import libtommath 1.0 --- libtommath/LICENSE | 29 +- libtommath/README.md | 13 + libtommath/bn.ilg | 8 +- libtommath/bn.ind | 26 +- libtommath/bn.pdf | Bin 352808 -> 383770 bytes libtommath/bn.tex | 506 +- libtommath/bn_error.c | 12 +- libtommath/bn_fast_mp_invmod.c | 20 +- libtommath/bn_fast_mp_montgomery_reduce.c | 32 +- libtommath/bn_fast_s_mp_mul_digs.c | 16 +- libtommath/bn_fast_s_mp_mul_high_digs.c | 10 +- libtommath/bn_fast_s_mp_sqr.c | 10 +- libtommath/bn_mp_2expt.c | 12 +- libtommath/bn_mp_abs.c | 8 +- libtommath/bn_mp_add.c | 8 +- libtommath/bn_mp_add_d.c | 12 +- libtommath/bn_mp_addmod.c | 8 +- libtommath/bn_mp_and.c | 8 +- libtommath/bn_mp_clamp.c | 10 +- libtommath/bn_mp_clear.c | 8 +- libtommath/bn_mp_clear_multi.c | 8 +- libtommath/bn_mp_cmp.c | 8 +- libtommath/bn_mp_cmp_d.c | 8 +- libtommath/bn_mp_cmp_mag.c | 8 +- libtommath/bn_mp_cnt_lsb.c | 12 +- libtommath/bn_mp_copy.c | 10 +- libtommath/bn_mp_count_bits.c | 8 +- libtommath/bn_mp_div.c | 81 +- libtommath/bn_mp_div_2.c | 10 +- libtommath/bn_mp_div_2d.c | 10 +- libtommath/bn_mp_div_3.c | 8 +- libtommath/bn_mp_div_d.c | 12 +- libtommath/bn_mp_dr_is_modulus.c | 8 +- libtommath/bn_mp_dr_reduce.c | 16 +- libtommath/bn_mp_dr_setup.c | 8 +- libtommath/bn_mp_exch.c | 8 +- libtommath/bn_mp_export.c | 88 + libtommath/bn_mp_expt_d.c | 43 +- libtommath/bn_mp_expt_d_ex.c | 83 + libtommath/bn_mp_exptmod.c | 10 +- libtommath/bn_mp_exptmod_fast.c | 18 +- libtommath/bn_mp_exteuclid.c | 16 +- libtommath/bn_mp_fread.c | 8 +- libtommath/bn_mp_fwrite.c | 8 +- libtommath/bn_mp_gcd.c | 10 +- libtommath/bn_mp_get_int.c | 16 +- libtommath/bn_mp_get_long.c | 41 + libtommath/bn_mp_get_long_long.c | 41 + libtommath/bn_mp_grow.c | 8 +- libtommath/bn_mp_import.c | 73 + libtommath/bn_mp_init.c | 8 +- libtommath/bn_mp_init_copy.c | 10 +- libtommath/bn_mp_init_multi.c | 10 +- libtommath/bn_mp_init_set.c | 8 +- libtommath/bn_mp_init_set_int.c | 8 +- libtommath/bn_mp_init_size.c | 8 +- libtommath/bn_mp_invmod.c | 16 +- libtommath/bn_mp_invmod_slow.c | 22 +- libtommath/bn_mp_is_square.c | 22 +- libtommath/bn_mp_jacobi.c | 44 +- libtommath/bn_mp_karatsuba_mul.c | 12 +- libtommath/bn_mp_karatsuba_sqr.c | 12 +- libtommath/bn_mp_lcm.c | 8 +- libtommath/bn_mp_lshd.c | 14 +- libtommath/bn_mp_mod.c | 16 +- libtommath/bn_mp_mod_2d.c | 10 +- libtommath/bn_mp_mod_d.c | 8 +- libtommath/bn_mp_montgomery_calc_normalization.c | 10 +- libtommath/bn_mp_montgomery_reduce.c | 28 +- libtommath/bn_mp_montgomery_setup.c | 18 +- libtommath/bn_mp_mul.c | 15 +- libtommath/bn_mp_mul_2.c | 12 +- libtommath/bn_mp_mul_2d.c | 16 +- libtommath/bn_mp_mul_d.c | 12 +- libtommath/bn_mp_mulmod.c | 8 +- libtommath/bn_mp_n_root.c | 118 +- libtommath/bn_mp_n_root_ex.c | 132 + libtommath/bn_mp_neg.c | 8 +- libtommath/bn_mp_or.c | 8 +- libtommath/bn_mp_prime_fermat.c | 8 +- libtommath/bn_mp_prime_is_divisible.c | 8 +- libtommath/bn_mp_prime_is_prime.c | 10 +- libtommath/bn_mp_prime_miller_rabin.c | 12 +- libtommath/bn_mp_prime_next_prime.c | 18 +- libtommath/bn_mp_prime_rabin_miller_trials.c | 8 +- libtommath/bn_mp_prime_random_ex.c | 21 +- libtommath/bn_mp_radix_size.c | 22 +- libtommath/bn_mp_radix_smap.c | 8 +- libtommath/bn_mp_rand.c | 12 +- libtommath/bn_mp_read_radix.c | 18 +- libtommath/bn_mp_read_signed_bin.c | 8 +- libtommath/bn_mp_read_unsigned_bin.c | 18 +- libtommath/bn_mp_reduce.c | 22 +- libtommath/bn_mp_reduce_2k.c | 28 +- libtommath/bn_mp_reduce_2k_l.c | 30 +- libtommath/bn_mp_reduce_2k_setup.c | 8 +- libtommath/bn_mp_reduce_2k_setup_l.c | 8 +- libtommath/bn_mp_reduce_is_2k.c | 8 +- libtommath/bn_mp_reduce_is_2k_l.c | 8 +- libtommath/bn_mp_reduce_setup.c | 8 +- libtommath/bn_mp_rshd.c | 10 +- libtommath/bn_mp_set.c | 8 +- libtommath/bn_mp_set_int.c | 8 +- libtommath/bn_mp_set_long.c | 24 + libtommath/bn_mp_set_long_long.c | 24 + libtommath/bn_mp_shrink.c | 11 +- libtommath/bn_mp_signed_bin_size.c | 8 +- libtommath/bn_mp_sqr.c | 18 +- libtommath/bn_mp_sqrmod.c | 8 +- libtommath/bn_mp_sqrt.c | 8 +- libtommath/bn_mp_sqrtmod_prime.c | 124 + libtommath/bn_mp_sub.c | 8 +- libtommath/bn_mp_sub_d.c | 16 +- libtommath/bn_mp_submod.c | 8 +- libtommath/bn_mp_to_signed_bin.c | 10 +- libtommath/bn_mp_to_signed_bin_n.c | 8 +- libtommath/bn_mp_to_unsigned_bin.c | 10 +- libtommath/bn_mp_to_unsigned_bin_n.c | 8 +- libtommath/bn_mp_toom_mul.c | 276 +- libtommath/bn_mp_toom_sqr.c | 212 +- libtommath/bn_mp_toradix.c | 14 +- libtommath/bn_mp_toradix_n.c | 12 +- libtommath/bn_mp_unsigned_bin_size.c | 10 +- libtommath/bn_mp_xor.c | 8 +- libtommath/bn_mp_zero.c | 8 +- libtommath/bn_prime_tab.c | 8 +- libtommath/bn_reverse.c | 8 +- libtommath/bn_s_mp_add.c | 14 +- libtommath/bn_s_mp_exptmod.c | 14 +- libtommath/bn_s_mp_mul_digs.c | 20 +- libtommath/bn_s_mp_mul_high_digs.c | 16 +- libtommath/bn_s_mp_sqr.c | 18 +- libtommath/bn_s_mp_sub.c | 18 +- libtommath/bncore.c | 8 +- libtommath/booker.pl | 68 +- libtommath/callgraph.txt | 18653 +++++++++++---------- libtommath/changes.txt | 45 +- libtommath/demo/demo.c | 720 +- libtommath/demo/timing.c | 118 +- libtommath/dep.pl | 2 +- libtommath/etc/2kprime.c | 4 +- libtommath/etc/drprime.c | 4 +- libtommath/etc/mersenne.c | 4 +- libtommath/etc/mont.c | 4 +- libtommath/etc/pprime.c | 4 +- libtommath/etc/tune.c | 27 +- libtommath/filter.pl | 34 + libtommath/gen.pl | 4 +- libtommath/genlist.sh | 8 + libtommath/libtommath_VS2005.sln | 0 libtommath/libtommath_VS2005.vcproj | 5650 +++---- libtommath/libtommath_VS2008.sln | 0 libtommath/libtommath_VS2008.vcproj | 5618 +++---- libtommath/makefile | 217 +- libtommath/makefile.bcc | 56 +- libtommath/makefile.cygwin_dll | 58 +- libtommath/makefile.icc | 71 +- libtommath/makefile.include | 105 + libtommath/makefile.msvc | 54 +- libtommath/makefile.shared | 137 +- libtommath/mtest/logtab.h | 4 +- libtommath/mtest/mpi-config.h | 6 +- libtommath/mtest/mpi-types.h | 4 +- libtommath/mtest/mpi.c | 176 +- libtommath/mtest/mpi.h | 8 +- libtommath/mtest/mtest.c | 100 +- libtommath/parsenames.pl | 25 + libtommath/poster.pdf | Bin 37806 -> 73388 bytes libtommath/pre_gen/mpi.c | 992 +- libtommath/testme.sh | 174 + libtommath/tommath.h | 195 +- libtommath/tommath.out | 278 +- libtommath/tommath.pdf | Bin 1332978 -> 1526291 bytes libtommath/tommath.src | 2155 ++- libtommath/tommath.tex | 6401 +++++-- libtommath/tommath_class.h | 84 +- libtommath/tommath_private.h | 119 + libtommath/tommath_superclass.h | 4 +- libtommath/updatemakes.sh | 33 + 179 files changed, 26451 insertions(+), 19309 deletions(-) create mode 100644 libtommath/README.md create mode 100644 libtommath/bn_mp_export.c create mode 100644 libtommath/bn_mp_expt_d_ex.c create mode 100644 libtommath/bn_mp_get_long.c create mode 100644 libtommath/bn_mp_get_long_long.c create mode 100644 libtommath/bn_mp_import.c create mode 100644 libtommath/bn_mp_n_root_ex.c create mode 100644 libtommath/bn_mp_set_long.c create mode 100644 libtommath/bn_mp_set_long_long.c create mode 100644 libtommath/bn_mp_sqrtmod_prime.c create mode 100755 libtommath/filter.pl create mode 100755 libtommath/genlist.sh mode change 100755 => 100644 libtommath/libtommath_VS2005.sln mode change 100755 => 100644 libtommath/libtommath_VS2005.vcproj mode change 100755 => 100644 libtommath/libtommath_VS2008.sln mode change 100755 => 100644 libtommath/libtommath_VS2008.vcproj create mode 100644 libtommath/makefile.include create mode 100755 libtommath/parsenames.pl create mode 100755 libtommath/testme.sh create mode 100644 libtommath/tommath_private.h create mode 100755 libtommath/updatemakes.sh diff --git a/libtommath/LICENSE b/libtommath/LICENSE index 5baa792..04d6d1d 100644 --- a/libtommath/LICENSE +++ b/libtommath/LICENSE @@ -1,4 +1,29 @@ -LibTomMath is hereby released into the Public Domain. +LibTomMath is licensed under DUAL licensing terms. --- Tom St Denis +Choose and use the license of your needs. +[LICENSE #1] + +LibTomMath is public domain. As should all quality software be. + +Tom St Denis + +[/LICENSE #1] + +[LICENSE #2] + + DO WHAT THE FUCK YOU WANT TO PUBLIC LICENSE + Version 2, December 2004 + + Copyright (C) 2004 Sam Hocevar + + Everyone is permitted to copy and distribute verbatim or modified + copies of this license document, and changing it is allowed as long + as the name is changed. + + DO WHAT THE FUCK YOU WANT TO PUBLIC LICENSE + TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION + + 0. You just DO WHAT THE FUCK YOU WANT TO. + +[/LICENSE #2] diff --git a/libtommath/README.md b/libtommath/README.md new file mode 100644 index 0000000..866f024 --- /dev/null +++ b/libtommath/README.md @@ -0,0 +1,13 @@ +[![Build Status](https://travis-ci.org/libtom/libtommath.png?branch=develop)](https://travis-ci.org/libtom/libtommath) + +This is the git repository for [LibTomMath](http://www.libtom.org/), a free open source portable number theoretic multiple-precision integer (MPI) library written entirely in C. + +The `develop` branch contains the in-development version. Stable releases are tagged. + +Documentation is built from the LaTeX file `bn.tex`. There is also limited documentation in `tommath.h`. There is also a document, `tommath.pdf`, which describes the goals of the project and many of the algorithms used. + +The project can be build by using `make`. Along with the usual `make`, `make clean` and `make install`, there are several other build targets, see the makefile for details. There are also makefiles for certain specific platforms. + +Tests are located in `demo/` and can be built in two flavors. +* `make test` creates a test binary that is intended to be run against `mtest`. `mtest` can be built with `make mtest` and test execution is done like `./mtest/mtest | ./test`. `mtest` is creating test vectors using an alternative MPI library and `test` is consuming these vectors to verify correct behavior of ltm +* `make test_standalone` creates a stand-alone test binary that executes several test routines. diff --git a/libtommath/bn.ilg b/libtommath/bn.ilg index 3c859f0..2a14624 100644 --- a/libtommath/bn.ilg +++ b/libtommath/bn.ilg @@ -1,6 +1,6 @@ -This is makeindex, version 2.14 [02-Oct-2002] (kpathsea + Thai support). -Scanning input file bn.idx....done (79 entries accepted, 0 rejected). -Sorting entries....done (511 comparisons). -Generating output file bn.ind....done (82 lines written, 0 warnings). +This is makeindex, version 2.15 [TeX Live 2013] (kpathsea + Thai support). +Scanning input file bn.idx....done (85 entries accepted, 0 rejected). +Sorting entries....done (554 comparisons). +Generating output file bn.ind....done (88 lines written, 0 warnings). Output written in bn.ind. Transcript written in bn.ilg. diff --git a/libtommath/bn.ind b/libtommath/bn.ind index 3c3d288..01cff1a 100644 --- a/libtommath/bn.ind +++ b/libtommath/bn.ind @@ -1,26 +1,29 @@ \begin{theindex} - \item mp\_add, \hyperpage{23} + \item mp\_add, \hyperpage{24} \item mp\_add\_d, \hyperpage{44} - \item mp\_and, \hyperpage{23} + \item mp\_and, \hyperpage{24} \item mp\_clear, \hyperpage{9} \item mp\_clear\_multi, \hyperpage{10} \item mp\_cmp, \hyperpage{19} \item mp\_cmp\_d, \hyperpage{20} \item mp\_cmp\_mag, \hyperpage{18} \item mp\_div, \hyperpage{24} - \item mp\_div\_2, \hyperpage{21} - \item mp\_div\_2d, \hyperpage{22} + \item mp\_div\_2, \hyperpage{22} + \item mp\_div\_2d, \hyperpage{23} \item mp\_div\_d, \hyperpage{44} \item mp\_dr\_reduce, \hyperpage{33} \item mp\_dr\_setup, \hyperpage{33} \item MP\_EQ, \hyperpage{18} \item mp\_error\_to\_string, \hyperpage{7} \item mp\_expt\_d, \hyperpage{35} + \item mp\_expt\_d\_ex, \hyperpage{35} \item mp\_exptmod, \hyperpage{35} \item mp\_exteuclid, \hyperpage{43} \item mp\_gcd, \hyperpage{43} \item mp\_get\_int, \hyperpage{16} + \item mp\_get\_long, \hyperpage{17} + \item mp\_get\_long\_long, \hyperpage{17} \item mp\_grow, \hyperpage{13} \item MP\_GT, \hyperpage{18} \item mp\_init, \hyperpage{8} @@ -42,14 +45,14 @@ \item mp\_montgomery\_reduce, \hyperpage{31} \item mp\_montgomery\_setup, \hyperpage{31} \item mp\_mul, \hyperpage{25} - \item mp\_mul\_2, \hyperpage{21} - \item mp\_mul\_2d, \hyperpage{22} + \item mp\_mul\_2, \hyperpage{22} + \item mp\_mul\_2d, \hyperpage{23} \item mp\_mul\_d, \hyperpage{44} - \item mp\_n\_root, \hyperpage{35} + \item mp\_n\_root, \hyperpage{36} \item mp\_neg, \hyperpage{24} \item MP\_NO, \hyperpage{7} \item MP\_OKAY, \hyperpage{7} - \item mp\_or, \hyperpage{23} + \item mp\_or, \hyperpage{24} \item mp\_prime\_fermat, \hyperpage{37} \item mp\_prime\_is\_divisible, \hyperpage{37} \item mp\_prime\_is\_prime, \hyperpage{38} @@ -68,15 +71,18 @@ \item mp\_rshd, \hyperpage{23} \item mp\_set, \hyperpage{15} \item mp\_set\_int, \hyperpage{16} + \item mp\_set\_long, \hyperpage{17} + \item mp\_set\_long\_long, \hyperpage{17} \item mp\_shrink, \hyperpage{12} \item mp\_sqr, \hyperpage{26} - \item mp\_sub, \hyperpage{23} + \item mp\_sqrtmod\_prime, \hyperpage{44} + \item mp\_sub, \hyperpage{24} \item mp\_sub\_d, \hyperpage{44} \item mp\_to\_unsigned\_bin, \hyperpage{42} \item mp\_toradix, \hyperpage{41} \item mp\_unsigned\_bin\_size, \hyperpage{41} \item MP\_VAL, \hyperpage{7} - \item mp\_xor, \hyperpage{23} + \item mp\_xor, \hyperpage{24} \item MP\_YES, \hyperpage{7} \end{theindex} diff --git a/libtommath/bn.pdf b/libtommath/bn.pdf index 078628c..a1f40ef 100644 Binary files a/libtommath/bn.pdf and b/libtommath/bn.pdf differ diff --git a/libtommath/bn.tex b/libtommath/bn.tex index 71b6840..d975471 100644 --- a/libtommath/bn.tex +++ b/libtommath/bn.tex @@ -49,10 +49,10 @@ \begin{document} \frontmatter \pagestyle{empty} -\title{LibTomMath User Manual \\ v0.42.0} -\author{Tom St Denis \\ tomstdenis@gmail.com} +\title{LibTomMath User Manual \\ v1.0.0} +\author{Tom St Denis \\ tstdenis82@gmail.com} \maketitle -This text, the library and the accompanying textbook are all hereby placed in the public domain. This book has been +This text, the library and the accompanying textbook are all hereby placed in the public domain. This book has been formatted for B5 [176x250] paper using the \LaTeX{} {\em book} macro package. \vspace{10cm} @@ -74,12 +74,12 @@ Ontario, Canada \section{What is LibTomMath?} LibTomMath is a library of source code which provides a series of efficient and carefully written functions for manipulating large integer numbers. It was written in portable ISO C source code so that it will build on any platform with a conforming -C compiler. +C compiler. In a nutshell the library was written from scratch with verbose comments to help instruct computer science students how -to implement ``bignum'' math. However, the resulting code has proven to be very useful. It has been used by numerous +to implement ``bignum'' math. However, the resulting code has proven to be very useful. It has been used by numerous universities, commercial and open source software developers. It has been used on a variety of platforms ranging from -Linux and Windows based x86 to ARM based Gameboys and PPC based MacOS machines. +Linux and Windows based x86 to ARM based Gameboys and PPC based MacOS machines. \section{License} As of the v0.25 the library source code has been placed in the public domain with every new release. As of the v0.28 @@ -87,14 +87,14 @@ release the textbook ``Implementing Multiple Precision Arithmetic'' has been pla release as well. This textbook is meant to compliment the project by providing a more solid walkthrough of the development algorithms used in the library. -Since both\footnote{Note that the MPI files under mtest/ are copyrighted by Michael Fromberger. They are not required to use LibTomMath.} are in the +Since both\footnote{Note that the MPI files under mtest/ are copyrighted by Michael Fromberger. They are not required to use LibTomMath.} are in the public domain everyone is entitled to do with them as they see fit. \section{Building LibTomMath} LibTomMath is meant to be very ``GCC friendly'' as it comes with a makefile well suited for GCC. However, the library will also build in MSVC, Borland C out of the box. For any other ISO C compiler a makefile will have to be made by the end -developer. +developer. \subsection{Static Libraries} To build as a static library for GCC issue the following @@ -102,14 +102,14 @@ To build as a static library for GCC issue the following make \end{alltt} -command. This will build the library and archive the object files in ``libtommath.a''. Now you link against +command. This will build the library and archive the object files in ``libtommath.a''. Now you link against that and include ``tommath.h'' within your programs. Alternatively to build with MSVC issue the following \begin{alltt} nmake -f makefile.msvc \end{alltt} -This will build the library and archive the object files in ``tommath.lib''. This has been tested with MSVC -version 6.00 with service pack 5. +This will build the library and archive the object files in ``tommath.lib''. This has been tested with MSVC +version 6.00 with service pack 5. \subsection{Shared Libraries} To build as a shared library for GCC issue the following @@ -117,12 +117,12 @@ To build as a shared library for GCC issue the following make -f makefile.shared \end{alltt} This requires the ``libtool'' package (common on most Linux/BSD systems). It will build LibTomMath as both shared -and static then install (by default) into /usr/lib as well as install the header files in /usr/include. The shared -library (resource) will be called ``libtommath.la'' while the static library called ``libtommath.a''. Generally -you use libtool to link your application against the shared object. +and static then install (by default) into /usr/lib as well as install the header files in /usr/include. The shared +library (resource) will be called ``libtommath.la'' while the static library called ``libtommath.a''. Generally +you use libtool to link your application against the shared object. -There is limited support for making a ``DLL'' in windows via the ``makefile.cygwin\_dll'' makefile. It requires -Cygwin to work with since it requires the auto-export/import functionality. The resulting DLL and import library +There is limited support for making a ``DLL'' in windows via the ``makefile.cygwin\_dll'' makefile. It requires +Cygwin to work with since it requires the auto-export/import functionality. The resulting DLL and import library ``libtommath.dll.a'' can be used to link LibTomMath dynamically to any Windows program using Cygwin. \subsection{Testing} @@ -140,7 +140,7 @@ is included in the package}. Simply pipe mtest into test using mtest/mtest | test \end{alltt} -If you do not have a ``/dev/urandom'' style RNG source you will have to write your own PRNG and simply pipe that into +If you do not have a ``/dev/urandom'' style RNG source you will have to write your own PRNG and simply pipe that into mtest. For example, if your PRNG program is called ``myprng'' simply invoke \begin{alltt} @@ -152,17 +152,17 @@ that is being performed. The numbers represent how many times the test was invo will exit with a dump of the relevent numbers it was working with. \section{Build Configuration} -LibTomMath can configured at build time in three phases we shall call ``depends'', ``tweaks'' and ``trims''. -Each phase changes how the library is built and they are applied one after another respectively. +LibTomMath can configured at build time in three phases we shall call ``depends'', ``tweaks'' and ``trims''. +Each phase changes how the library is built and they are applied one after another respectively. To make the system more powerful you can tweak the build process. Classes are defined in the file -``tommath\_superclass.h''. By default, the symbol ``LTM\_ALL'' shall be defined which simply -instructs the system to build all of the functions. This is how LibTomMath used to be packaged. This will give you +``tommath\_superclass.h''. By default, the symbol ``LTM\_ALL'' shall be defined which simply +instructs the system to build all of the functions. This is how LibTomMath used to be packaged. This will give you access to every function LibTomMath offers. -However, there are cases where such a build is not optional. For instance, you want to perform RSA operations. You -don't need the vast majority of the library to perform these operations. Aside from LTM\_ALL there is -another pre--defined class ``SC\_RSA\_1'' which works in conjunction with the RSA from LibTomCrypt. Additional +However, there are cases where such a build is not optional. For instance, you want to perform RSA operations. You +don't need the vast majority of the library to perform these operations. Aside from LTM\_ALL there is +another pre--defined class ``SC\_RSA\_1'' which works in conjunction with the RSA from LibTomCrypt. Additional classes can be defined base on the need of the user. \subsection{Build Depends} @@ -172,8 +172,8 @@ file. For instance, BN\_MP\_ADD\_C represents the file ``bn\_mp\_add.c''. When function in the respective file will be compiled and linked into the library. Accordingly when the define is absent the file will not be compiled and not contribute any size to the library. -You will also note that the header tommath\_class.h is actually recursively included (it includes itself twice). -This is to help resolve as many dependencies as possible. In the last pass the symbol LTM\_LAST will be defined. +You will also note that the header tommath\_class.h is actually recursively included (it includes itself twice). +This is to help resolve as many dependencies as possible. In the last pass the symbol LTM\_LAST will be defined. This is useful for ``trims''. \subsection{Build Tweaks} @@ -193,7 +193,7 @@ They can be enabled at any pass of the configuration phase. \subsection{Build Trims} A trim is a manner of removing functionality from a function that is not required. For instance, to perform -RSA cryptography you only require exponentiation with odd moduli so even moduli support can be safely removed. +RSA cryptography you only require exponentiation with odd moduli so even moduli support can be safely removed. Build trims are meant to be defined on the last pass of the configuration which means they are to be defined only if LTM\_LAST has been defined. @@ -232,7 +232,7 @@ only if LTM\_LAST has been defined. & BN\_S\_MP\_SQR\_C \\ \hline Polynomial Schmolynomial & BN\_MP\_KARATSUBA\_MUL\_C \\ & BN\_MP\_KARATSUBA\_SQR\_C \\ - & BN\_MP\_TOOM\_MUL\_C \\ + & BN\_MP\_TOOM\_MUL\_C \\ & BN\_MP\_TOOM\_SQR\_C \\ \hline @@ -242,11 +242,11 @@ only if LTM\_LAST has been defined. \section{Purpose of LibTomMath} -Unlike GNU MP (GMP) Library, LIP, OpenSSL or various other commercial kits (Miracl), LibTomMath was not written with -bleeding edge performance in mind. First and foremost LibTomMath was written to be entirely open. Not only is the +Unlike GNU MP (GMP) Library, LIP, OpenSSL or various other commercial kits (Miracl), LibTomMath was not written with +bleeding edge performance in mind. First and foremost LibTomMath was written to be entirely open. Not only is the source code public domain (unlike various other GPL/etc licensed code), not only is the code freely downloadable but the source code is also accessible for computer science students attempting to learn ``BigNum'' or multiple precision -arithmetic techniques. +arithmetic techniques. LibTomMath was written to be an instructive collection of source code. This is why there are many comments, only one function per source file and often I use a ``middle-road'' approach where I don't cut corners for an extra 2\% speed @@ -277,9 +277,9 @@ are the pros and cons of LibTomMath by comparing it to the math routines from Gn \caption{LibTomMath Valuation} \end{figure} -It may seem odd to compare LibTomMath to GnuPG since the math in GnuPG is only a small portion of the entire application. +It may seem odd to compare LibTomMath to GnuPG since the math in GnuPG is only a small portion of the entire application. However, LibTomMath was written with cryptography in mind. It provides essentially all of the functions a cryptosystem -would require when working with large integers. +would require when working with large integers. So it may feel tempting to just rip the math code out of GnuPG (or GnuMP where it was taken from originally) in your own application but I think there are reasons not to. While LibTomMath is slower than libraries such as GnuMP it is @@ -289,11 +289,11 @@ exponentiations. It depends largely on the processor, compiler and the moduli b Essentially the only time you wouldn't use LibTomMath is when blazing speed is the primary concern. However, on the other side of the coin LibTomMath offers you a totally free (public domain) well structured math library that is very flexible, complete and performs well in resource contrained environments. Fast RSA for example can -be performed with as little as 8KB of ram for data (again depending on build options). +be performed with as little as 8KB of ram for data (again depending on build options). \chapter{Getting Started with LibTomMath} \section{Building Programs} -In order to use LibTomMath you must include ``tommath.h'' and link against the appropriate library file (typically +In order to use LibTomMath you must include ``tommath.h'' and link against the appropriate library file (typically libtommath.a). There is no library initialization required and the entire library is thread safe. \section{Return Codes} @@ -327,8 +327,8 @@ to a string use the following function. char *mp_error_to_string(int code); \end{alltt} -This will return a pointer to a string which describes the given error code. It will not work for the return codes -MP\_YES and MP\_NO. +This will return a pointer to a string which describes the given error code. It will not work for the return codes +MP\_YES and MP\_NO. \section{Data Types} The basic ``multiple precision integer'' type is known as the ``mp\_int'' within LibTomMath. This data type is used to @@ -345,7 +345,7 @@ typedef struct \{ Where ``mp\_digit'' is a data type that represents individual digits of the integer. By default, an mp\_digit is the ISO C ``unsigned long'' data type and each digit is $28-$bits long. The mp\_digit type can be configured to suit other -platforms by defining the appropriate macros. +platforms by defining the appropriate macros. All LTM functions that use the mp\_int type will expect a pointer to mp\_int structure. You must allocate memory to hold the structure itself by yourself (whether off stack or heap it doesn't matter). The very first thing that must be @@ -374,7 +374,7 @@ This allows operands to be re-used which can make programming simpler. \section{Initialization} \subsection{Single Initialization} -A single mp\_int can be initialized with the ``mp\_init'' function. +A single mp\_int can be initialized with the ``mp\_init'' function. \index{mp\_init} \begin{alltt} @@ -392,11 +392,11 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* use the number */ return EXIT_SUCCESS; @@ -404,7 +404,7 @@ int main(void) \end{alltt} \end{small} \subsection{Single Free} -When you are finished with an mp\_int it is ideal to return the heap it used back to the system. The following function +When you are finished with an mp\_int it is ideal to return the heap it used back to the system. The following function provides this functionality. \index{mp\_clear} @@ -412,9 +412,9 @@ provides this functionality. void mp_clear (mp_int * a); \end{alltt} -The function expects a pointer to a previously initialized mp\_int structure and frees the heap it uses. It sets the -pointer\footnote{The ``dp'' member.} within the mp\_int to \textbf{NULL} which is used to prevent double free situations. -Is is legal to call mp\_clear() twice on the same mp\_int in a row. +The function expects a pointer to a previously initialized mp\_int structure and frees the heap it uses. It sets the +pointer\footnote{The ``dp'' member.} within the mp\_int to \textbf{NULL} which is used to prevent double free situations. +Is is legal to call mp\_clear() twice on the same mp\_int in a row. \begin{small} \begin{alltt} int main(void) @@ -423,11 +423,11 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* use the number */ /* We're done with it. */ @@ -451,8 +451,8 @@ int mp_init_multi(mp_int *mp, ...); It accepts a \textbf{NULL} terminated list of pointers to mp\_int structures. It will attempt to initialize them all at once. If the function returns MP\_OKAY then all of the mp\_int variables are ready to use, otherwise none of them -are available for use. A complementary mp\_clear\_multi() function allows multiple mp\_int variables to be free'd -from the heap at the same time. +are available for use. A complementary mp\_clear\_multi() function allows multiple mp\_int variables to be free'd +from the heap at the same time. \begin{small} \begin{alltt} int main(void) @@ -460,14 +460,14 @@ int main(void) mp_int num1, num2, num3; int result; - if ((result = mp_init_multi(&num1, + if ((result = mp_init_multi(&num1, &num2, - &num3, NULL)) != MP\_OKAY) \{ - printf("Error initializing the numbers. \%s", + &num3, NULL)) != MP\_OKAY) \{ + printf("Error initializing the numbers. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* use the numbers */ /* We're done with them. */ @@ -478,7 +478,7 @@ int main(void) \end{alltt} \end{small} \subsection{Other Initializers} -To initialized and make a copy of an mp\_int the mp\_init\_copy() function has been provided. +To initialized and make a copy of an mp\_int the mp\_init\_copy() function has been provided. \index{mp\_init\_copy} \begin{alltt} @@ -497,11 +497,11 @@ int main(void) /* We want a copy of num1 in num2 now */ if ((result = mp_init_copy(&num2, &num1)) != MP_OKAY) \{ - printf("Error initializing the copy. \%s", + printf("Error initializing the copy. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* now num2 is ready and contains a copy of num1 */ /* We're done with them. */ @@ -521,7 +521,7 @@ int mp_init_size (mp_int * a, int size); \end{alltt} The $size$ parameter must be greater than zero. If the function succeeds the mp\_int $a$ will be initialized -to have $size$ digits (which are all initially zero). +to have $size$ digits (which are all initially zero). \begin{small} \begin{alltt} int main(void) @@ -531,11 +531,11 @@ int main(void) /* we need a 60-digit number */ if ((result = mp_init_size(&number, 60)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* use the number */ return EXIT_SUCCESS; @@ -556,7 +556,7 @@ int mp_shrink (mp_int * a); This will remove excess digits of the mp\_int $a$. If the operation fails the mp\_int should be intact without the excess digits being removed. Note that you can use a shrunk mp\_int in further computations, however, such operations will require heap operations which can be slow. It is not ideal to shrink mp\_int variables that you will further -modify in the system (unless you are seriously low on memory). +modify in the system (unless you are seriously low on memory). \begin{small} \begin{alltt} int main(void) @@ -565,16 +565,16 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* use the number [e.g. pre-computation] */ /* We're done with it for now. */ if ((result = mp_shrink(&number)) != MP_OKAY) \{ - printf("Error shrinking the number. \%s", + printf("Error shrinking the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -582,7 +582,7 @@ int main(void) /* use it .... */ - /* we're done with it. */ + /* we're done with it. */ mp_clear(&number); return EXIT_SUCCESS; @@ -595,7 +595,7 @@ Within the mp\_int structure are two parameters which control the limitations of the integer the mp\_int is meant to equal. The \textit{used} parameter dictates how many digits are significant, that is, contribute to the value of the mp\_int. The \textit{alloc} parameter dictates how many digits are currently available in the array. If you need to perform an operation that requires more digits you will have to mp\_grow() the mp\_int to -your desired size. +your desired size. \index{mp\_grow} \begin{alltt} @@ -612,16 +612,16 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* use the number */ /* We need to add 20 digits to the number */ if ((result = mp_grow(&number, number.alloc + 20)) != MP_OKAY) \{ - printf("Error growing the number. \%s", + printf("Error growing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -629,7 +629,7 @@ int main(void) /* use the number */ - /* we're done with it. */ + /* we're done with it. */ mp_clear(&number); return EXIT_SUCCESS; @@ -641,7 +641,7 @@ int main(void) Setting mp\_ints to small constants is a relatively common operation. To accomodate these instances there are two small constant assignment functions. The first function is used to set a single digit constant while the second sets an ISO C style ``unsigned long'' constant. The reason for both functions is efficiency. Setting a single digit is quick but the -domain of a digit can change (it's always at least $0 \ldots 127$). +domain of a digit can change (it's always at least $0 \ldots 127$). \subsection{Single Digit} @@ -663,15 +663,15 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* set the number to 5 */ mp_set(&number, 5); - /* we're done with it. */ + /* we're done with it. */ mp_clear(&number); return EXIT_SUCCESS; @@ -680,7 +680,7 @@ int main(void) \subsection{Long Constants} -To set a constant that is the size of an ISO C ``unsigned long'' and larger than a single digit the following function +To set a constant that is the size of an ISO C ``unsigned long'' and larger than a single digit the following function can be used. \index{mp\_set\_int} @@ -689,7 +689,7 @@ int mp_set_int (mp_int * a, unsigned long b); \end{alltt} This will assign the value of the 32-bit variable $b$ to the mp\_int $a$. Unlike mp\_set() this function will always -accept a 32-bit input regardless of the size of a single digit. However, since the value may span several digits +accept a 32-bit input regardless of the size of a single digit. However, since the value may span several digits this function can fail if it runs out of heap memory. To get the ``unsigned long'' copy of an mp\_int the following function can be used. @@ -699,7 +699,7 @@ To get the ``unsigned long'' copy of an mp\_int the following function can be us unsigned long mp_get_int (mp_int * a); \end{alltt} -This will return the 32 least significant bits of the mp\_int $a$. +This will return the 32 least significant bits of the mp\_int $a$. \begin{small} \begin{alltt} int main(void) @@ -708,21 +708,21 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* set the number to 654321 (note this is bigger than 127) */ if ((result = mp_set_int(&number, 654321)) != MP_OKAY) \{ - printf("Error setting the value of the number. \%s", + printf("Error setting the value of the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} printf("number == \%lu", mp_get_int(&number)); - /* we're done with it. */ + /* we're done with it. */ mp_clear(&number); return EXIT_SUCCESS; @@ -735,6 +735,42 @@ This should output the following if the program succeeds. number == 654321 \end{alltt} +\subsection{Long Constants - platform dependant} + +\index{mp\_set\_long} +\begin{alltt} +int mp_set_long (mp_int * a, unsigned long b); +\end{alltt} + +This will assign the value of the platform-dependant sized variable $b$ to the mp\_int $a$. + +To get the ``unsigned long'' copy of an mp\_int the following function can be used. + +\index{mp\_get\_long} +\begin{alltt} +unsigned long mp_get_long (mp_int * a); +\end{alltt} + +This will return the least significant bits of the mp\_int $a$ that fit into an ``unsigned long''. + +\subsection{Long Long Constants} + +\index{mp\_set\_long\_long} +\begin{alltt} +int mp_set_long_long (mp_int * a, unsigned long long b); +\end{alltt} + +This will assign the value of the 64-bit variable $b$ to the mp\_int $a$. + +To get the ``unsigned long long'' copy of an mp\_int the following function can be used. + +\index{mp\_get\_long\_long} +\begin{alltt} +unsigned long long mp_get_long_long (mp_int * a); +\end{alltt} + +This will return the 64 least significant bits of the mp\_int $a$. + \subsection{Initialize and Setting Constants} To both initialize and set small constants the following two functions are available. \index{mp\_init\_set} \index{mp\_init\_set\_int} @@ -743,7 +779,7 @@ int mp_init_set (mp_int * a, mp_digit b); int mp_init_set_int (mp_int * a, unsigned long b); \end{alltt} -Both functions work like the previous counterparts except they first mp\_init $a$ before setting the values. +Both functions work like the previous counterparts except they first mp\_init $a$ before setting the values. \begin{alltt} int main(void) @@ -753,14 +789,14 @@ int main(void) /* initialize and set a single digit */ if ((result = mp_init_set(&number1, 100)) != MP_OKAY) \{ - printf("Error setting number1: \%s", + printf("Error setting number1: \%s", mp_error_to_string(result)); return EXIT_FAILURE; - \} + \} /* initialize and set a long */ if ((result = mp_init_set_int(&number2, 1023)) != MP_OKAY) \{ - printf("Error setting number2: \%s", + printf("Error setting number2: \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -801,14 +837,14 @@ for any comparison. \label{fig:CMP} \end{figure} -In figure \ref{fig:CMP} two integers $a$ and $b$ are being compared. In this case $a$ is said to be ``to the left'' of -$b$. +In figure \ref{fig:CMP} two integers $a$ and $b$ are being compared. In this case $a$ is said to be ``to the left'' of +$b$. \subsection{Unsigned comparison} -An unsigned comparison considers only the digits themselves and not the associated \textit{sign} flag of the +An unsigned comparison considers only the digits themselves and not the associated \textit{sign} flag of the mp\_int structures. This is analogous to an absolute comparison. The function mp\_cmp\_mag() will compare two -mp\_int variables based on their digits only. +mp\_int variables based on their digits only. \index{mp\_cmp\_mag} \begin{alltt} @@ -824,18 +860,18 @@ int main(void) int result; if ((result = mp_init_multi(&number1, &number2, NULL)) != MP_OKAY) \{ - printf("Error initializing the numbers. \%s", + printf("Error initializing the numbers. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* set the number1 to 5 */ mp_set(&number1, 5); - + /* set the number2 to -6 */ mp_set(&number2, 6); if ((result = mp_neg(&number2, &number2)) != MP_OKAY) \{ - printf("Error negating number2. \%s", + printf("Error negating number2. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -846,14 +882,14 @@ int main(void) case MP_LT: printf("|number1| < |number2|"); break; \} - /* we're done with it. */ + /* we're done with it. */ mp_clear_multi(&number1, &number2, NULL); return EXIT_SUCCESS; \} \end{alltt} \end{small} -If this program\footnote{This function uses the mp\_neg() function which is discussed in section \ref{sec:NEG}.} completes +If this program\footnote{This function uses the mp\_neg() function which is discussed in section \ref{sec:NEG}.} completes successfully it should print the following. \begin{alltt} @@ -882,18 +918,18 @@ int main(void) int result; if ((result = mp_init_multi(&number1, &number2, NULL)) != MP_OKAY) \{ - printf("Error initializing the numbers. \%s", + printf("Error initializing the numbers. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* set the number1 to 5 */ mp_set(&number1, 5); - + /* set the number2 to -6 */ mp_set(&number2, 6); if ((result = mp_neg(&number2, &number2)) != MP_OKAY) \{ - printf("Error negating number2. \%s", + printf("Error negating number2. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -904,14 +940,14 @@ int main(void) case MP_LT: printf("number1 < number2"); break; \} - /* we're done with it. */ + /* we're done with it. */ mp_clear_multi(&number1, &number2, NULL); return EXIT_SUCCESS; \} \end{alltt} \end{small} -If this program\footnote{This function uses the mp\_neg() function which is discussed in section \ref{sec:NEG}.} completes +If this program\footnote{This function uses the mp\_neg() function which is discussed in section \ref{sec:NEG}.} completes successfully it should print the following. \begin{alltt} @@ -927,7 +963,7 @@ To compare a single digit against an mp\_int the following function has been pro int mp_cmp_d(mp_int * a, mp_digit b); \end{alltt} -This will compare $a$ to the left of $b$ using a signed comparison. Note that it will always treat $b$ as +This will compare $a$ to the left of $b$ using a signed comparison. Note that it will always treat $b$ as positive. This function is rather handy when you have to compare against small values such as $1$ (which often comes up in cryptography). The function cannot fail and will return one of the tree compare condition codes listed in figure \ref{fig:CMP}. @@ -940,11 +976,11 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* set the number to 5 */ mp_set(&number, 5); @@ -954,7 +990,7 @@ int main(void) case MP_LT: printf("number < 7"); break; \} - /* we're done with it. */ + /* we're done with it. */ mp_clear(&number); return EXIT_SUCCESS; @@ -975,7 +1011,7 @@ AND, XOR and OR directly. These operations are very quick. \subsection{Multiplication by two} Multiplications and divisions by any power of two can be performed with quick logical shifts either left or -right depending on the operation. +right depending on the operation. When multiplying or dividing by two a special case routine can be used which are as follows. \index{mp\_mul\_2} \index{mp\_div\_2} @@ -994,17 +1030,17 @@ int main(void) int result; if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", + printf("Error initializing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* set the number to 5 */ mp_set(&number, 5); /* multiply by two */ if ((result = mp\_mul\_2(&number, &number)) != MP_OKAY) \{ - printf("Error multiplying the number. \%s", + printf("Error multiplying the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -1016,7 +1052,7 @@ int main(void) /* now divide by two */ if ((result = mp\_div\_2(&number, &number)) != MP_OKAY) \{ - printf("Error dividing the number. \%s", + printf("Error dividing the number. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -1026,7 +1062,7 @@ int main(void) case MP_LT: printf("2*number/2 < 7"); break; \} - /* we're done with it. */ + /* we're done with it. */ mp_clear(&number); return EXIT_SUCCESS; @@ -1040,15 +1076,18 @@ If this program is successful it will print out the following text. 2*number/2 < 7 \end{alltt} -Since $10 > 7$ and $5 < 7$. To multiply by a power of two the following function can be used. +Since $10 > 7$ and $5 < 7$. + +To multiply by a power of two the following function can be used. \index{mp\_mul\_2d} \begin{alltt} int mp_mul_2d(mp_int * a, int b, mp_int * c); \end{alltt} -This will multiply $a$ by $2^b$ and store the result in ``c''. If the value of $b$ is less than or equal to -zero the function will copy $a$ to ``c'' without performing any further actions. +This will multiply $a$ by $2^b$ and store the result in ``c''. If the value of $b$ is less than or equal to +zero the function will copy $a$ to ``c'' without performing any further actions. The multiplication itself +is implemented as a right-shift operation of $a$ by $b$ bits. To divide by a power of two use the following. @@ -1058,14 +1097,15 @@ int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d); \end{alltt} Which will divide $a$ by $2^b$, store the quotient in ``c'' and the remainder in ``d'. If $b \le 0$ then the function simply copies $a$ over to ``c'' and zeroes $d$. The variable $d$ may be passed as a \textbf{NULL} -value to signal that the remainder is not desired. +value to signal that the remainder is not desired. The division itself is implemented as a left-shift +operation of $a$ by $b$ bits. \subsection{Polynomial Basis Operations} -Strictly speaking the organization of the integers within the mp\_int structures is what is known as a +Strictly speaking the organization of the integers within the mp\_int structures is what is known as a ``polynomial basis''. This simply means a field element is stored by divisions of a radix. For example, if -$f(x) = \sum_{i=0}^{k} y_ix^k$ for any vector $\vec y$ then the array of digits in $\vec y$ are said to be -the polynomial basis representation of $z$ if $f(\beta) = z$ for a given radix $\beta$. +$f(x) = \sum_{i=0}^{k} y_ix^k$ for any vector $\vec y$ then the array of digits in $\vec y$ are said to be +the polynomial basis representation of $z$ if $f(\beta) = z$ for a given radix $\beta$. To multiply by the polynomial $g(x) = x$ all you have todo is shift the digits of the basis left one place. The following function provides this operation. @@ -1097,7 +1137,7 @@ int mp_and (mp_int * a, mp_int * b, mp_int * c); int mp_xor (mp_int * a, mp_int * b, mp_int * c); \end{alltt} -Which compute $c = a \odot b$ where $\odot$ is one of OR, AND or XOR. +Which compute $c = a \odot b$ where $\odot$ is one of OR, AND or XOR. \section{Addition and Subtraction} @@ -1122,7 +1162,7 @@ Simple integer negation can be performed with the following. int mp_neg (mp_int * a, mp_int * b); \end{alltt} -Which assigns $-a$ to $b$. +Which assigns $-a$ to $b$. \subsection{Absolute} Simple integer absolutes can be performed with the following. @@ -1132,7 +1172,7 @@ Simple integer absolutes can be performed with the following. int mp_abs (mp_int * a, mp_int * b); \end{alltt} -Which assigns $\vert a \vert$ to $b$. +Which assigns $\vert a \vert$ to $b$. \section{Integer Division and Remainder} To perform a complete and general integer division with remainder use the following function. @@ -1141,10 +1181,10 @@ To perform a complete and general integer division with remainder use the follow \begin{alltt} int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d); \end{alltt} - -This divides $a$ by $b$ and stores the quotient in $c$ and $d$. The signed quotient is computed such that -$bc + d = a$. Note that either of $c$ or $d$ can be set to \textbf{NULL} if their value is not required. If -$b$ is zero the function returns \textbf{MP\_VAL}. + +This divides $a$ by $b$ and stores the quotient in $c$ and $d$. The signed quotient is computed such that +$bc + d = a$. Note that either of $c$ or $d$ can be set to \textbf{NULL} if their value is not required. If +$b$ is zero the function returns \textbf{MP\_VAL}. \chapter{Multiplication and Squaring} @@ -1154,7 +1194,7 @@ A full signed integer multiplication can be performed with the following. \begin{alltt} int mp_mul (mp_int * a, mp_int * b, mp_int * c); \end{alltt} -Which assigns the full signed product $ab$ to $c$. This function actually breaks into one of four cases which are +Which assigns the full signed product $ab$ to $c$. This function actually breaks into one of four cases which are specific multiplication routines optimized for given parameters. First there are the Toom-Cook multiplications which should only be used with very large inputs. This is followed by the Karatsuba multiplications which are for moderate sized inputs. Then followed by the Comba and baseline multipliers. @@ -1169,22 +1209,22 @@ int main(void) int result; /* Initialize the numbers */ - if ((result = mp_init_multi(&number1, + if ((result = mp_init_multi(&number1, &number2, NULL)) != MP_OKAY) \{ - printf("Error initializing the numbers. \%s", + printf("Error initializing the numbers. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* set the terms */ if ((result = mp_set_int(&number, 257)) != MP_OKAY) \{ - printf("Error setting number1. \%s", + printf("Error setting number1. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + if ((result = mp_set_int(&number2, 1023)) != MP_OKAY) \{ - printf("Error setting number2. \%s", + printf("Error setting number2. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -1192,7 +1232,7 @@ int main(void) /* multiply them */ if ((result = mp_mul(&number1, &number2, &number1)) != MP_OKAY) \{ - printf("Error multiplying terms. \%s", + printf("Error multiplying terms. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -1205,7 +1245,7 @@ int main(void) return EXIT_SUCCESS; \} -\end{alltt} +\end{alltt} If this program succeeds it shall output the following. @@ -1224,22 +1264,22 @@ int mp_sqr (mp_int * a, mp_int * b); Will square $a$ and store it in $b$. Like the case of multiplication there are four different squaring algorithms all which can be called from mp\_sqr(). It is ideal to use mp\_sqr over mp\_mul when squaring terms because -of the speed difference. +of the speed difference. \section{Tuning Polynomial Basis Routines} Both of the Toom-Cook and Karatsuba multiplication algorithms are faster than the traditional $O(n^2)$ approach that -the Comba and baseline algorithms use. At $O(n^{1.464973})$ and $O(n^{1.584962})$ running times respectively they require +the Comba and baseline algorithms use. At $O(n^{1.464973})$ and $O(n^{1.584962})$ running times respectively they require considerably less work. For example, a 10000-digit multiplication would take roughly 724,000 single precision multiplications with Toom-Cook or 100,000,000 single precision multiplications with the standard Comba (a factor of 138). So why not always use Karatsuba or Toom-Cook? The simple answer is that they have so much overhead that they're not -actually faster than Comba until you hit distinct ``cutoff'' points. For Karatsuba with the default configuration, -GCC 3.3.1 and an Athlon XP processor the cutoff point is roughly 110 digits (about 70 for the Intel P4). That is, at +actually faster than Comba until you hit distinct ``cutoff'' points. For Karatsuba with the default configuration, +GCC 3.3.1 and an Athlon XP processor the cutoff point is roughly 110 digits (about 70 for the Intel P4). That is, at 110 digits Karatsuba and Comba multiplications just about break even and for 110+ digits Karatsuba is faster. -Toom-Cook has incredible overhead and is probably only useful for very large inputs. So far no known cutoff points +Toom-Cook has incredible overhead and is probably only useful for very large inputs. So far no known cutoff points exist and for the most part I just set the cutoff points very high to make sure they're not called. A demo program in the ``etc/'' directory of the project called ``tune.c'' can be used to find the cutoff points. This @@ -1273,19 +1313,19 @@ tuning takes a very long time as the cutoff points are likely to be very high. \chapter{Modular Reduction} -Modular reduction is process of taking the remainder of one quantity divided by another. Expressed -as (\ref{eqn:mod}) the modular reduction is equivalent to the remainder of $b$ divided by $c$. +Modular reduction is process of taking the remainder of one quantity divided by another. Expressed +as (\ref{eqn:mod}) the modular reduction is equivalent to the remainder of $b$ divided by $c$. \begin{equation} a \equiv b \mbox{ (mod }c\mbox{)} \label{eqn:mod} \end{equation} -Of particular interest to cryptography are reductions where $b$ is limited to the range $0 \le b < c^2$ since particularly -fast reduction algorithms can be written for the limited range. +Of particular interest to cryptography are reductions where $b$ is limited to the range $0 \le b < c^2$ since particularly +fast reduction algorithms can be written for the limited range. Note that one of the four optimized reduction algorithms are automatically chosen in the modular exponentiation -algorithm mp\_exptmod when an appropriate modulus is detected. +algorithm mp\_exptmod when an appropriate modulus is detected. \section{Straight Division} In order to effect an arbitrary modular reduction the following algorithm is provided. @@ -1295,7 +1335,7 @@ In order to effect an arbitrary modular reduction the following algorithm is pro int mp_mod(mp_int *a, mp_int *b, mp_int *c); \end{alltt} -This reduces $a$ modulo $b$ and stores the result in $c$. The sign of $c$ shall agree with the sign +This reduces $a$ modulo $b$ and stores the result in $c$. The sign of $c$ shall agree with the sign of $b$. This algorithm accepts an input $a$ of any range and is not limited by $0 \le a < b^2$. \section{Barrett Reduction} @@ -1325,52 +1365,52 @@ int main(void) mp_int a, b, c, mu; int result; - /* initialize a,b to desired values, mp_init mu, - * c and set c to 1...we want to compute a^3 mod b + /* initialize a,b to desired values, mp_init mu, + * c and set c to 1...we want to compute a^3 mod b */ /* get mu value */ if ((result = mp_reduce_setup(&mu, b)) != MP_OKAY) \{ - printf("Error getting mu. \%s", + printf("Error getting mu. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* square a to get c = a^2 */ if ((result = mp_sqr(&a, &c)) != MP_OKAY) \{ - printf("Error squaring. \%s", + printf("Error squaring. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* now reduce `c' modulo b */ if ((result = mp_reduce(&c, &b, &mu)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* multiply a to get c = a^3 */ if ((result = mp_mul(&a, &c, &c)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* now reduce `c' modulo b */ if ((result = mp_reduce(&c, &b, &mu)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* c now equals a^3 mod b */ return EXIT_SUCCESS; \} -\end{alltt} +\end{alltt} -This program will calculate $a^3 \mbox{ mod }b$ if all the functions succeed. +This program will calculate $a^3 \mbox{ mod }b$ if all the functions succeed. \section{Montgomery Reduction} @@ -1382,7 +1422,7 @@ step is required. This is accomplished with the following. int mp_montgomery_setup(mp_int *a, mp_digit *mp); \end{alltt} -For the given odd moduli $a$ the precomputation value is placed in $mp$. The reduction is computed with the +For the given odd moduli $a$ the precomputation value is placed in $mp$. The reduction is computed with the following. \index{mp\_montgomery\_reduce} @@ -1394,10 +1434,10 @@ $0 \le a < b^2$. Montgomery reduction is faster than Barrett reduction for moduli smaller than the ``comba'' limit. With the default setup for instance, the limit is $127$ digits ($3556$--bits). Note that this function is not limited to -$127$ digits just that it falls back to a baseline algorithm after that point. +$127$ digits just that it falls back to a baseline algorithm after that point. -An important observation is that this reduction does not return $a \mbox{ mod }m$ but $aR^{-1} \mbox{ mod }m$ -where $R = \beta^n$, $n$ is the n number of digits in $m$ and $\beta$ is radix used (default is $2^{28}$). +An important observation is that this reduction does not return $a \mbox{ mod }m$ but $aR^{-1} \mbox{ mod }m$ +where $R = \beta^n$, $n$ is the n number of digits in $m$ and $\beta$ is radix used (default is $2^{28}$). To quickly calculate $R$ the following function was provided. @@ -1405,7 +1445,7 @@ To quickly calculate $R$ the following function was provided. \begin{alltt} int mp_montgomery_calc_normalization(mp_int *a, mp_int *b); \end{alltt} -Which calculates $a = R$ for the odd moduli $b$ without using multiplication or division. +Which calculates $a = R$ for the odd moduli $b$ without using multiplication or division. The normal modus operandi for Montgomery reductions is to normalize the integers before entering the system. For example, to calculate $a^3 \mbox { mod }b$ using Montgomery reduction the value of $a$ can be normalized by @@ -1418,62 +1458,62 @@ int main(void) mp_digit mp; int result; - /* initialize a,b to desired values, - * mp_init R, c and set c to 1.... + /* initialize a,b to desired values, + * mp_init R, c and set c to 1.... */ /* get normalization */ if ((result = mp_montgomery_calc_normalization(&R, b)) != MP_OKAY) \{ - printf("Error getting norm. \%s", + printf("Error getting norm. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* get mp value */ if ((result = mp_montgomery_setup(&c, &mp)) != MP_OKAY) \{ - printf("Error setting up montgomery. \%s", + printf("Error setting up montgomery. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* normalize `a' so now a is equal to aR */ if ((result = mp_mulmod(&a, &R, &b, &a)) != MP_OKAY) \{ - printf("Error computing aR. \%s", + printf("Error computing aR. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* square a to get c = a^2R^2 */ if ((result = mp_sqr(&a, &c)) != MP_OKAY) \{ - printf("Error squaring. \%s", + printf("Error squaring. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* now reduce `c' back down to c = a^2R^2 * R^-1 == a^2R */ if ((result = mp_montgomery_reduce(&c, &b, mp)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* multiply a to get c = a^3R^2 */ if ((result = mp_mul(&a, &c, &c)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} /* now reduce `c' back down to c = a^3R^2 * R^-1 == a^3R */ if ((result = mp_montgomery_reduce(&c, &b, mp)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} - + /* now reduce (again) `c' back down to c = a^3R * R^-1 == a^3 */ if ((result = mp_montgomery_reduce(&c, &b, mp)) != MP_OKAY) \{ - printf("Error reducing. \%s", + printf("Error reducing. \%s", mp_error_to_string(result)); return EXIT_FAILURE; \} @@ -1482,9 +1522,9 @@ int main(void) return EXIT_SUCCESS; \} -\end{alltt} +\end{alltt} -This particular example does not look too efficient but it demonstrates the point of the algorithm. By +This particular example does not look too efficient but it demonstrates the point of the algorithm. By normalizing the inputs the reduced results are always of the form $aR$ for some variable $a$. This allows a single final reduction to correct for the normalization and the fast reduction used within the algorithm. @@ -1494,7 +1534,7 @@ For more details consider examining the file \textit{bn\_mp\_exptmod\_fast.c}. ``Dimminished Radix'' reduction refers to reduction with respect to moduli that are ameniable to simple digit shifting and small multiplications. In this case the ``restricted'' variant refers to moduli of the -form $\beta^k - p$ for some $k \ge 0$ and $0 < p < \beta$ where $\beta$ is the radix (default to $2^{28}$). +form $\beta^k - p$ for some $k \ge 0$ and $0 < p < \beta$ where $\beta$ is the radix (default to $2^{28}$). As in the case of Montgomery reduction there is a pre--computation phase required for a given modulus. @@ -1513,45 +1553,62 @@ int mp_dr_reduce(mp_int *a, mp_int *b, mp_digit mp); \end{alltt} This reduces $a$ in place modulo $b$ with the pre--computed value $mp$. $b$ must be of a restricted -dimminished radix form and $a$ must be in the range $0 \le a < b^2$. Dimminished radix reductions are -much faster than both Barrett and Montgomery reductions as they have a much lower asymtotic running time. +dimminished radix form and $a$ must be in the range $0 \le a < b^2$. Dimminished radix reductions are +much faster than both Barrett and Montgomery reductions as they have a much lower asymtotic running time. Since the moduli are restricted this algorithm is not particularly useful for something like Rabin, RSA or BBS cryptographic purposes. This reduction algorithm is useful for Diffie-Hellman and ECC where fixed -primes are acceptable. +primes are acceptable. Note that unlike Montgomery reduction there is no normalization process. The result of this function is equal to the correct residue. \section{Unrestricted Dimminshed Radix} -Unrestricted reductions work much like the restricted counterparts except in this case the moduli is of the -form $2^k - p$ for $0 < p < \beta$. In this sense the unrestricted reductions are more flexible as they -can be applied to a wider range of numbers. +Unrestricted reductions work much like the restricted counterparts except in this case the moduli is of the +form $2^k - p$ for $0 < p < \beta$. In this sense the unrestricted reductions are more flexible as they +can be applied to a wider range of numbers. \index{mp\_reduce\_2k\_setup} \begin{alltt} int mp_reduce_2k_setup(mp_int *a, mp_digit *d); \end{alltt} -This will compute the required $d$ value for the given moduli $a$. +This will compute the required $d$ value for the given moduli $a$. \index{mp\_reduce\_2k} \begin{alltt} int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d); \end{alltt} -This will reduce $a$ in place modulo $n$ with the pre--computed value $d$. From my experience this routine is -slower than mp\_dr\_reduce but faster for most moduli sizes than the Montgomery reduction. +This will reduce $a$ in place modulo $n$ with the pre--computed value $d$. From my experience this routine is +slower than mp\_dr\_reduce but faster for most moduli sizes than the Montgomery reduction. \chapter{Exponentiation} \section{Single Digit Exponentiation} +\index{mp\_expt\_d\_ex} +\begin{alltt} +int mp_expt_d_ex (mp_int * a, mp_digit b, mp_int * c, int fast) +\end{alltt} +This function computes $c = a^b$. + +With parameter \textit{fast} set to $0$ the old version of the algorithm is used, +when \textit{fast} is $1$, a faster but not statically timed version of the algorithm is used. + +The old version uses a simple binary left-to-right algorithm. +It is faster than repeated multiplications by $a$ for all values of $b$ greater than three. + +The new version uses a binary right-to-left algorithm. + +The difference between the old and the new version is that the old version always +executes $DIGIT\_BIT$ iterations. The new algorithm executes only $n$ iterations +where $n$ is equal to the position of the highest bit that is set in $b$. + \index{mp\_expt\_d} \begin{alltt} int mp_expt_d (mp_int * a, mp_digit b, mp_int * c) \end{alltt} -This computes $c = a^b$ using a simple binary left-to-right algorithm. It is faster than repeated multiplications by -$a$ for all values of $b$ greater than three. +mp\_expt\_d(a, b, c) is a wrapper function to mp\_expt\_d\_ex(a, b, c, 0). \section{Modular Exponentiation} \index{mp\_exptmod} @@ -1559,8 +1616,8 @@ $a$ for all values of $b$ greater than three. int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) \end{alltt} This computes $Y \equiv G^X \mbox{ (mod }P\mbox{)}$ using a variable width sliding window algorithm. This function -will automatically detect the fastest modular reduction technique to use during the operation. For negative values of -$X$ the operation is performed as $Y \equiv (G^{-1} \mbox{ mod }P)^{\vert X \vert} \mbox{ (mod }P\mbox{)}$ provided that +will automatically detect the fastest modular reduction technique to use during the operation. For negative values of +$X$ the operation is performed as $Y \equiv (G^{-1} \mbox{ mod }P)^{\vert X \vert} \mbox{ (mod }P\mbox{)}$ provided that $gcd(G, P) = 1$. This function is actually a shell around the two internal exponentiation functions. This routine will automatically @@ -1573,16 +1630,16 @@ and the other two algorithms. \begin{alltt} int mp_n_root (mp_int * a, mp_digit b, mp_int * c) \end{alltt} -This computes $c = a^{1/b}$ such that $c^b \le a$ and $(c+1)^b > a$. The implementation of this function is not +This computes $c = a^{1/b}$ such that $c^b \le a$ and $(c+1)^b > a$. The implementation of this function is not ideal for values of $b$ greater than three. It will work but become very slow. So unless you are working with very small numbers (less than 1000 bits) I'd avoid $b > 3$ situations. Will return a positive root only for even roots and return -a root with the sign of the input for odd roots. For example, performing $4^{1/2}$ will return $2$ whereas $(-8)^{1/3}$ -will return $-2$. +a root with the sign of the input for odd roots. For example, performing $4^{1/2}$ will return $2$ whereas $(-8)^{1/3}$ +will return $-2$. This algorithm uses the ``Newton Approximation'' method and will converge on the correct root fairly quickly. Since the algorithm requires raising $a$ to the power of $b$ it is not ideal to attempt to find roots for large values of $b$. If particularly large roots are required then a factor method could be used instead. For example, -$a^{1/16}$ is equivalent to $\left (a^{1/4} \right)^{1/4}$ or simply +$a^{1/16}$ is equivalent to $\left (a^{1/4} \right)^{1/4}$ or simply $\left ( \left ( \left ( a^{1/2} \right )^{1/2} \right )^{1/2} \right )^{1/2}$ \chapter{Prime Numbers} @@ -1591,8 +1648,8 @@ $\left ( \left ( \left ( a^{1/2} \right )^{1/2} \right )^{1/2} \right )^{1/2}$ \begin{alltt} int mp_prime_is_divisible (mp_int * a, int *result) \end{alltt} -This will attempt to evenly divide $a$ by a list of primes\footnote{Default is the first 256 primes.} and store the -outcome in ``result''. That is if $result = 0$ then $a$ is not divisible by the primes, otherwise it is. Note that +This will attempt to evenly divide $a$ by a list of primes\footnote{Default is the first 256 primes.} and store the +outcome in ``result''. That is if $result = 0$ then $a$ is not divisible by the primes, otherwise it is. Note that if the function does not return \textbf{MP\_OKAY} the value in ``result'' should be considered undefined\footnote{Currently the default is to set it to zero first.}. @@ -1611,10 +1668,10 @@ is set to zero. int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result) \end{alltt} Performs a Miller-Rabin test to the base $b$ of $a$. This test is much stronger than the Fermat test and is very hard to -fool (besides with Carmichael numbers). If $a$ passes the test (therefore is probably prime) $result$ is set to one. -Otherwise $result$ is set to zero. +fool (besides with Carmichael numbers). If $a$ passes the test (therefore is probably prime) $result$ is set to one. +Otherwise $result$ is set to zero. -Note that is suggested that you use the Miller-Rabin test instead of the Fermat test since all of the failures of +Note that is suggested that you use the Miller-Rabin test instead of the Fermat test since all of the failures of Miller-Rabin are a subset of the failures of the Fermat test. \subsection{Required Number of Tests} @@ -1628,7 +1685,7 @@ int mp_prime_rabin_miller_trials(int size) \end{alltt} This returns the number of trials required for a $2^{-96}$ (or lower) probability of failure for a given ``size'' expressed in bits. This comes in handy specially since larger numbers are slower to test. For example, a 512-bit number would -require ten tests whereas a 1024-bit number would only require four tests. +require ten tests whereas a 1024-bit number would only require four tests. You should always still perform a trial division before a Miller-Rabin test though. @@ -1637,8 +1694,8 @@ You should always still perform a trial division before a Miller-Rabin test thou \begin{alltt} int mp_prime_is_prime (mp_int * a, int t, int *result) \end{alltt} -This will perform a trial division followed by $t$ rounds of Miller-Rabin tests on $a$ and store the result in $result$. -If $a$ passes all of the tests $result$ is set to one, otherwise it is set to zero. Note that $t$ is bounded by +This will perform a trial division followed by $t$ rounds of Miller-Rabin tests on $a$ and store the result in $result$. +If $a$ passes all of the tests $result$ is set to one, otherwise it is set to zero. Note that $t$ is bounded by $1 \le t < PRIME\_SIZE$ where $PRIME\_SIZE$ is the number of primes in the prime number table (by default this is $256$). \section{Next Prime} @@ -1646,25 +1703,25 @@ $1 \le t < PRIME\_SIZE$ where $PRIME\_SIZE$ is the number of primes in the prime \begin{alltt} int mp_prime_next_prime(mp_int *a, int t, int bbs_style) \end{alltt} -This finds the next prime after $a$ that passes mp\_prime\_is\_prime() with $t$ tests. Set $bbs\_style$ to one if you -want only the next prime congruent to $3 \mbox{ mod } 4$, otherwise set it to zero to find any next prime. +This finds the next prime after $a$ that passes mp\_prime\_is\_prime() with $t$ tests. Set $bbs\_style$ to one if you +want only the next prime congruent to $3 \mbox{ mod } 4$, otherwise set it to zero to find any next prime. \section{Random Primes} \index{mp\_prime\_random} \begin{alltt} -int mp_prime_random(mp_int *a, int t, int size, int bbs, +int mp_prime_random(mp_int *a, int t, int size, int bbs, ltm_prime_callback cb, void *dat) \end{alltt} This will find a prime greater than $256^{size}$ which can be ``bbs\_style'' or not depending on $bbs$ and must pass -$t$ rounds of tests. The ``ltm\_prime\_callback'' is a typedef for +$t$ rounds of tests. The ``ltm\_prime\_callback'' is a typedef for \begin{alltt} typedef int ltm_prime_callback(unsigned char *dst, int len, void *dat); \end{alltt} Which is a function that must read $len$ bytes (and return the amount stored) into $dst$. The $dat$ variable is simply -copied from the original input. It can be used to pass RNG context data to the callback. The function -mp\_prime\_random() is more suitable for generating primes which must be secret (as in the case of RSA) since there +copied from the original input. It can be used to pass RNG context data to the callback. The function +mp\_prime\_random() is more suitable for generating primes which must be secret (as in the case of RSA) since there is no skew on the least significant bits. \textit{Note:} As of v0.30 of the LibTomMath library this function has been deprecated. It is still available @@ -1673,13 +1730,13 @@ but users are encouraged to use the new mp\_prime\_random\_ex() function instead \subsection{Extended Generation} \index{mp\_prime\_random\_ex} \begin{alltt} -int mp_prime_random_ex(mp_int *a, int t, - int size, int flags, +int mp_prime_random_ex(mp_int *a, int t, + int size, int flags, ltm_prime_callback cb, void *dat); \end{alltt} This will generate a prime in $a$ using $t$ tests of the primality testing algorithms. The variable $size$ specifies the bit length of the prime desired. The variable $flags$ specifies one of several options available -(see fig. \ref{fig:primeopts}) which can be OR'ed together. The callback parameters are used as in +(see fig. \ref{fig:primeopts}) which can be OR'ed together. The callback parameters are used as in mp\_prime\_random(). \begin{figure}[here] @@ -1717,8 +1774,8 @@ by the conversion before storing any data use the following function. \begin{alltt} int mp_radix_size (mp_int * a, int radix, int *size) \end{alltt} -This stores in ``size'' the number of characters (including space for the NUL terminator) required. Upon error this -function returns an error code and ``size'' will be zero. +This stores in ``size'' the number of characters (including space for the NUL terminator) required. Upon error this +function returns an error code and ``size'' will be zero. \subsection{From ASCII} \index{mp\_read\_radix} @@ -1764,13 +1821,13 @@ int mp_to_signed_bin(mp_int *a, unsigned char *b); \end{alltt} They operate essentially the same as the unsigned copies except they prefix the data with zero or non--zero byte depending on the sign. If the sign is zpos (e.g. not negative) the prefix is zero, otherwise the prefix -is non--zero. +is non--zero. \chapter{Algebraic Functions} \section{Extended Euclidean Algorithm} \index{mp\_exteuclid} \begin{alltt} -int mp_exteuclid(mp_int *a, mp_int *b, +int mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3); \end{alltt} @@ -1780,7 +1837,7 @@ This finds the triple U1/U2/U3 using the Extended Euclidean algorithm such that a \cdot U1 + b \cdot U2 = U3 \end{equation} -Any of the U1/U2/U3 paramters can be set to \textbf{NULL} if they are not desired. +Any of the U1/U2/U3 paramters can be set to \textbf{NULL} if they are not desired. \section{Greatest Common Divisor} \index{mp\_gcd} @@ -1804,7 +1861,28 @@ int mp_jacobi (mp_int * a, mp_int * p, int *c) This will compute the Jacobi symbol for $a$ with respect to $p$. If $p$ is prime this essentially computes the Legendre symbol. The result is stored in $c$ and can take on one of three values $\lbrace -1, 0, 1 \rbrace$. If $p$ is prime then the result will be $-1$ when $a$ is not a quadratic residue modulo $p$. The result will be $0$ if $a$ divides $p$ -and the result will be $1$ if $a$ is a quadratic residue modulo $p$. +and the result will be $1$ if $a$ is a quadratic residue modulo $p$. + +\section{Modular square root} +\index{mp\_sqrtmod\_prime} +\begin{alltt} +int mp_sqrtmod_prime(mp_int *n, mp_int *p, mp_int *r) +\end{alltt} + +This will solve the modular equatioon $r^2 = n \mod p$ where $p$ is a prime number greater than 2 (odd prime). +The result is returned in the third argument $r$, the function returns \textbf{MP\_OKAY} on success, +other return values indicate failure. + +The implementation is split for two different cases: + +1. if $p \mod 4 == 3$ we apply \href{http://cacr.uwaterloo.ca/hac/}{Handbook of Applied Cryptography algorithm 3.36} and compute $r$ directly as +$r = n^{(p+1)/4} \mod p$ + +2. otherwise we use \href{https://en.wikipedia.org/wiki/Tonelli-Shanks_algorithm}{Tonelli-Shanks algorithm} + +The function does not check the primality of parameter $p$ thus it is up to the caller to assure that this parameter +is a prime number. When $p$ is a composite the function behaviour is undefined, it may even return a false-positive +\textbf{MP\_OKAY}. \section{Modular Inverse} \index{mp\_invmod} diff --git a/libtommath/bn_error.c b/libtommath/bn_error.c index 250057b..3abf1a7 100644 --- a/libtommath/bn_error.c +++ b/libtommath/bn_error.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_ERROR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,12 +12,12 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ static const struct { int code; - char *msg; + const char *msg; } msgs[] = { { MP_OKAY, "Successful" }, { MP_MEM, "Out of heap" }, @@ -25,7 +25,7 @@ static const struct { }; /* return a char * string for a given code */ -char *mp_error_to_string(int code) +const char *mp_error_to_string(int code) { int x; @@ -43,5 +43,5 @@ char *mp_error_to_string(int code) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_fast_mp_invmod.c b/libtommath/bn_fast_mp_invmod.c index 948a134..aa41098 100644 --- a/libtommath/bn_fast_mp_invmod.c +++ b/libtommath/bn_fast_mp_invmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_FAST_MP_INVMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes the modular inverse via binary extended euclidean algorithm, @@ -27,7 +27,7 @@ int fast_mp_invmod (mp_int * a, mp_int * b, mp_int * c) int res, neg; /* 2. [modified] b must be odd */ - if (mp_iseven (b) == 1) { + if (mp_iseven (b) == MP_YES) { return MP_VAL; } @@ -57,13 +57,13 @@ int fast_mp_invmod (mp_int * a, mp_int * b, mp_int * c) top: /* 4. while u is even do */ - while (mp_iseven (&u) == 1) { + while (mp_iseven (&u) == MP_YES) { /* 4.1 u = u/2 */ if ((res = mp_div_2 (&u, &u)) != MP_OKAY) { goto LBL_ERR; } /* 4.2 if B is odd then */ - if (mp_isodd (&B) == 1) { + if (mp_isodd (&B) == MP_YES) { if ((res = mp_sub (&B, &x, &B)) != MP_OKAY) { goto LBL_ERR; } @@ -75,13 +75,13 @@ top: } /* 5. while v is even do */ - while (mp_iseven (&v) == 1) { + while (mp_iseven (&v) == MP_YES) { /* 5.1 v = v/2 */ if ((res = mp_div_2 (&v, &v)) != MP_OKAY) { goto LBL_ERR; } /* 5.2 if D is odd then */ - if (mp_isodd (&D) == 1) { + if (mp_isodd (&D) == MP_YES) { /* D = (D-x)/2 */ if ((res = mp_sub (&D, &x, &D)) != MP_OKAY) { goto LBL_ERR; @@ -115,7 +115,7 @@ top: } /* if not zero goto step 4 */ - if (mp_iszero (&u) == 0) { + if (mp_iszero (&u) == MP_NO) { goto top; } @@ -144,5 +144,5 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_fast_mp_montgomery_reduce.c b/libtommath/bn_fast_mp_montgomery_reduce.c index 1a81689..a63839d 100644 --- a/libtommath/bn_fast_mp_montgomery_reduce.c +++ b/libtommath/bn_fast_mp_montgomery_reduce.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes xR**-1 == x (mod N) via Montgomery Reduction @@ -32,7 +32,7 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) olduse = x->used; /* grow a as required */ - if (x->alloc < n->used + 1) { + if (x->alloc < (n->used + 1)) { if ((res = mp_grow (x, n->used + 1)) != MP_OKAY) { return res; } @@ -42,8 +42,8 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * an array of double precision words W[...] */ { - register mp_word *_W; - register mp_digit *tmpx; + mp_word *_W; + mp_digit *tmpx; /* alias for the W[] array */ _W = W; @@ -57,7 +57,7 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) } /* zero the high words of W[a->used..m->used*2] */ - for (; ix < n->used * 2 + 1; ix++) { + for (; ix < ((n->used * 2) + 1); ix++) { *_W++ = 0; } } @@ -72,7 +72,7 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * by casting the value down to a mp_digit. Note this requires * that W[ix-1] have the carry cleared (see after the inner loop) */ - register mp_digit mu; + mp_digit mu; mu = (mp_digit) (((W[ix] & MP_MASK) * rho) & MP_MASK); /* a = a + mu * m * b**i @@ -90,9 +90,9 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * first m->used words of W[] have the carries fixed */ { - register int iy; - register mp_digit *tmpn; - register mp_word *_W; + int iy; + mp_digit *tmpn; + mp_word *_W; /* alias for the digits of the modulus */ tmpn = n->dp; @@ -115,8 +115,8 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * significant digits we zeroed]. */ { - register mp_digit *tmpx; - register mp_word *_W, *_W1; + mp_digit *tmpx; + mp_word *_W, *_W1; /* nox fix rest of carries */ @@ -126,7 +126,7 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) /* alias for next word, where the carry goes */ _W = W + ++ix; - for (; ix <= n->used * 2 + 1; ix++) { + for (; ix <= ((n->used * 2) + 1); ix++) { *_W++ += *_W1++ >> ((mp_word) DIGIT_BIT); } @@ -143,7 +143,7 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) /* alias for shifted double precision result */ _W = W + n->used; - for (ix = 0; ix < n->used + 1; ix++) { + for (ix = 0; ix < (n->used + 1); ix++) { *tmpx++ = (mp_digit)(*_W++ & ((mp_word) MP_MASK)); } @@ -168,5 +168,5 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_fast_s_mp_mul_digs.c b/libtommath/bn_fast_s_mp_mul_digs.c index 04becfd..acd13b4 100644 --- a/libtommath/bn_fast_s_mp_mul_digs.c +++ b/libtommath/bn_fast_s_mp_mul_digs.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_FAST_S_MP_MUL_DIGS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* Fast (comba) multiplier @@ -35,7 +35,7 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) { int olduse, res, pa, ix, iz; mp_digit W[MP_WARRAY]; - register mp_word _W; + mp_word _W; /* grow the destination as required */ if (c->alloc < digs) { @@ -78,16 +78,16 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* make next carry */ _W = _W >> ((mp_word)DIGIT_BIT); - } + } /* setup dest */ olduse = c->used; c->used = pa; { - register mp_digit *tmpc; + mp_digit *tmpc; tmpc = c->dp; - for (ix = 0; ix < pa+1; ix++) { + for (ix = 0; ix < (pa + 1); ix++) { /* now extract the previous digit [below the carry] */ *tmpc++ = W[ix]; } @@ -103,5 +103,5 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_fast_s_mp_mul_high_digs.c b/libtommath/bn_fast_s_mp_mul_high_digs.c index 98bee37..b96cf60 100644 --- a/libtommath/bn_fast_s_mp_mul_high_digs.c +++ b/libtommath/bn_fast_s_mp_mul_high_digs.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* this is a modified version of fast_s_mul_digs that only produces @@ -75,7 +75,7 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) c->used = pa; { - register mp_digit *tmpc; + mp_digit *tmpc; tmpc = c->dp + digs; for (ix = digs; ix < pa; ix++) { @@ -94,5 +94,5 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_fast_s_mp_sqr.c b/libtommath/bn_fast_s_mp_sqr.c index 086b52c..775c76f 100644 --- a/libtommath/bn_fast_s_mp_sqr.c +++ b/libtommath/bn_fast_s_mp_sqr.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_FAST_S_MP_SQR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* the jist of squaring... @@ -66,7 +66,7 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) * we halve the distance since they approach at a rate of 2x * and we have to round because odd cases need to be executed */ - iy = MIN(iy, (ty-tx+1)>>1); + iy = MIN(iy, ((ty-tx)+1)>>1); /* execute loop */ for (iz = 0; iz < iy; iz++) { @@ -110,5 +110,5 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_2expt.c b/libtommath/bn_mp_2expt.c index 4774aab..2845814 100644 --- a/libtommath/bn_mp_2expt.c +++ b/libtommath/bn_mp_2expt.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_2EXPT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes a = 2**b @@ -29,12 +29,12 @@ mp_2expt (mp_int * a, int b) mp_zero (a); /* grow a to accomodate the single bit */ - if ((res = mp_grow (a, b / DIGIT_BIT + 1)) != MP_OKAY) { + if ((res = mp_grow (a, (b / DIGIT_BIT) + 1)) != MP_OKAY) { return res; } /* set the used count of where the bit will go */ - a->used = b / DIGIT_BIT + 1; + a->used = (b / DIGIT_BIT) + 1; /* put the single bit in its place */ a->dp[b / DIGIT_BIT] = ((mp_digit)1) << (b % DIGIT_BIT); @@ -44,5 +44,5 @@ mp_2expt (mp_int * a, int b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_abs.c b/libtommath/bn_mp_abs.c index 4d1fa44..cc9c3db 100644 --- a/libtommath/bn_mp_abs.c +++ b/libtommath/bn_mp_abs.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_ABS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* b = |a| @@ -39,5 +39,5 @@ mp_abs (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_add.c b/libtommath/bn_mp_add.c index 122c850..236fc75 100644 --- a/libtommath/bn_mp_add.c +++ b/libtommath/bn_mp_add.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_ADD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* high level addition (handles signs) */ @@ -49,5 +49,5 @@ int mp_add (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_add_d.c b/libtommath/bn_mp_add_d.c index aec8fc8..4d4e1df 100644 --- a/libtommath/bn_mp_add_d.c +++ b/libtommath/bn_mp_add_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_ADD_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* single digit addition */ @@ -23,14 +23,14 @@ mp_add_d (mp_int * a, mp_digit b, mp_int * c) mp_digit *tmpa, *tmpc, mu; /* grow c as required */ - if (c->alloc < a->used + 1) { + if (c->alloc < (a->used + 1)) { if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) { return res; } } /* if a is negative and |a| >= b, call c = |a| - b */ - if (a->sign == MP_NEG && (a->used > 1 || a->dp[0] >= b)) { + if ((a->sign == MP_NEG) && ((a->used > 1) || (a->dp[0] >= b))) { /* temporarily fix sign of a */ a->sign = MP_ZPOS; @@ -108,5 +108,5 @@ mp_add_d (mp_int * a, mp_digit b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_addmod.c b/libtommath/bn_mp_addmod.c index 0376659..825c928 100644 --- a/libtommath/bn_mp_addmod.c +++ b/libtommath/bn_mp_addmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_ADDMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* d = a + b (mod c) */ @@ -37,5 +37,5 @@ mp_addmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_and.c b/libtommath/bn_mp_and.c index 22dfbff..3b6b03e 100644 --- a/libtommath/bn_mp_and.c +++ b/libtommath/bn_mp_and.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_AND_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* AND two ints together */ @@ -53,5 +53,5 @@ mp_and (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_clamp.c b/libtommath/bn_mp_clamp.c index 1e0c817..d4fb70d 100644 --- a/libtommath/bn_mp_clamp.c +++ b/libtommath/bn_mp_clamp.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CLAMP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* trim unused digits @@ -28,7 +28,7 @@ mp_clamp (mp_int * a) /* decrease used while the most significant digit is * zero. */ - while (a->used > 0 && a->dp[a->used - 1] == 0) { + while ((a->used > 0) && (a->dp[a->used - 1] == 0)) { --(a->used); } @@ -40,5 +40,5 @@ mp_clamp (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_clear.c b/libtommath/bn_mp_clear.c index 72301df..17ef9d5 100644 --- a/libtommath/bn_mp_clear.c +++ b/libtommath/bn_mp_clear.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CLEAR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* clear one (frees) */ @@ -40,5 +40,5 @@ mp_clear (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_clear_multi.c b/libtommath/bn_mp_clear_multi.c index 6bbc10c..441a200 100644 --- a/libtommath/bn_mp_clear_multi.c +++ b/libtommath/bn_mp_clear_multi.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CLEAR_MULTI_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ #include @@ -30,5 +30,5 @@ void mp_clear_multi(mp_int *mp, ...) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_cmp.c b/libtommath/bn_mp_cmp.c index 77d00cd..74a98fe 100644 --- a/libtommath/bn_mp_cmp.c +++ b/libtommath/bn_mp_cmp.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CMP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* compare two ints (signed)*/ @@ -39,5 +39,5 @@ mp_cmp (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_cmp_d.c b/libtommath/bn_mp_cmp_d.c index 0d5bcb4..28a53ce 100644 --- a/libtommath/bn_mp_cmp_d.c +++ b/libtommath/bn_mp_cmp_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CMP_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* compare a digit */ @@ -40,5 +40,5 @@ int mp_cmp_d(mp_int * a, mp_digit b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_cmp_mag.c b/libtommath/bn_mp_cmp_mag.c index 063fd18..f72830f 100644 --- a/libtommath/bn_mp_cmp_mag.c +++ b/libtommath/bn_mp_cmp_mag.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CMP_MAG_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* compare maginitude of two ints (unsigned) */ @@ -51,5 +51,5 @@ int mp_cmp_mag (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_cnt_lsb.c b/libtommath/bn_mp_cnt_lsb.c index efebd2a..9d7eef8 100644 --- a/libtommath/bn_mp_cnt_lsb.c +++ b/libtommath/bn_mp_cnt_lsb.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_CNT_LSB_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ static const int lnz[16] = { @@ -26,12 +26,12 @@ int mp_cnt_lsb(mp_int *a) mp_digit q, qq; /* easy out */ - if (mp_iszero(a) == 1) { + if (mp_iszero(a) == MP_YES) { return 0; } /* scan lower digits until non-zero */ - for (x = 0; x < a->used && a->dp[x] == 0; x++); + for (x = 0; (x < a->used) && (a->dp[x] == 0); x++) {} q = a->dp[x]; x *= DIGIT_BIT; @@ -49,5 +49,5 @@ int mp_cnt_lsb(mp_int *a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_copy.c b/libtommath/bn_mp_copy.c index 45cac61..69e9464 100644 --- a/libtommath/bn_mp_copy.c +++ b/libtommath/bn_mp_copy.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_COPY_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* copy, b = a */ @@ -35,7 +35,7 @@ mp_copy (mp_int * a, mp_int * b) /* zero b and copy the parameters over */ { - register mp_digit *tmpa, *tmpb; + mp_digit *tmpa, *tmpb; /* pointer aliases */ @@ -64,5 +64,5 @@ mp_copy (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_count_bits.c b/libtommath/bn_mp_count_bits.c index 6c02ec6..74b59b6 100644 --- a/libtommath/bn_mp_count_bits.c +++ b/libtommath/bn_mp_count_bits.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_COUNT_BITS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* returns the number of bits in an int */ @@ -41,5 +41,5 @@ mp_count_bits (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_div.c b/libtommath/bn_mp_div.c index af5c55d..3ca5d7f 100644 --- a/libtommath/bn_mp_div.c +++ b/libtommath/bn_mp_div.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DIV_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ #ifdef BN_MP_DIV_SMALL @@ -24,7 +24,7 @@ int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) int res, n, n2; /* is divisor zero ? */ - if (mp_iszero (b) == 1) { + if (mp_iszero (b) == MP_YES) { return MP_VAL; } @@ -40,9 +40,9 @@ int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) } return res; } - + /* init our temps */ - if ((res = mp_init_multi(&ta, &tb, &tq, &q, NULL) != MP_OKAY)) { + if ((res = mp_init_multi(&ta, &tb, &tq, &q, NULL)) != MP_OKAY) { return res; } @@ -50,7 +50,7 @@ int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) mp_set(&tq, 1); n = mp_count_bits(a) - mp_count_bits(b); if (((res = mp_abs(a, &ta)) != MP_OKAY) || - ((res = mp_abs(b, &tb)) != MP_OKAY) || + ((res = mp_abs(b, &tb)) != MP_OKAY) || ((res = mp_mul_2d(&tb, n, &tb)) != MP_OKAY) || ((res = mp_mul_2d(&tq, n, &tq)) != MP_OKAY)) { goto LBL_ERR; @@ -71,7 +71,7 @@ int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) /* now q == quotient and ta == remainder */ n = a->sign; - n2 = (a->sign == b->sign ? MP_ZPOS : MP_NEG); + n2 = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; if (c != NULL) { mp_exch(c, &q); c->sign = (mp_iszero(c) == MP_YES) ? MP_ZPOS : n2; @@ -87,17 +87,17 @@ LBL_ERR: #else -/* integer signed division. +/* integer signed division. * c*b + d == a [e.g. a/b, c=quotient, d=remainder] * HAC pp.598 Algorithm 14.20 * - * Note that the description in HAC is horribly - * incomplete. For example, it doesn't consider - * the case where digits are removed from 'x' in - * the inner loop. It also doesn't consider the + * Note that the description in HAC is horribly + * incomplete. For example, it doesn't consider + * the case where digits are removed from 'x' in + * the inner loop. It also doesn't consider the * case that y has fewer than three digits, etc.. * - * The overall algorithm is as described as + * The overall algorithm is as described as * 14.20 from HAC but fixed to treat these cases. */ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) @@ -106,7 +106,7 @@ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) int res, n, t, i, norm, neg; /* is divisor zero ? */ - if (mp_iszero (b) == 1) { + if (mp_iszero (b) == MP_YES) { return MP_VAL; } @@ -187,51 +187,52 @@ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) continue; } - /* step 3.1 if xi == yt then set q{i-t-1} to b-1, + /* step 3.1 if xi == yt then set q{i-t-1} to b-1, * otherwise set q{i-t-1} to (xi*b + x{i-1})/yt */ if (x.dp[i] == y.dp[t]) { - q.dp[i - t - 1] = ((((mp_digit)1) << DIGIT_BIT) - 1); + q.dp[(i - t) - 1] = ((((mp_digit)1) << DIGIT_BIT) - 1); } else { mp_word tmp; tmp = ((mp_word) x.dp[i]) << ((mp_word) DIGIT_BIT); tmp |= ((mp_word) x.dp[i - 1]); tmp /= ((mp_word) y.dp[t]); - if (tmp > (mp_word) MP_MASK) + if (tmp > (mp_word) MP_MASK) { tmp = MP_MASK; - q.dp[i - t - 1] = (mp_digit) (tmp & (mp_word) (MP_MASK)); + } + q.dp[(i - t) - 1] = (mp_digit) (tmp & (mp_word) (MP_MASK)); } - /* while (q{i-t-1} * (yt * b + y{t-1})) > - xi * b**2 + xi-1 * b + xi-2 - - do q{i-t-1} -= 1; + /* while (q{i-t-1} * (yt * b + y{t-1})) > + xi * b**2 + xi-1 * b + xi-2 + + do q{i-t-1} -= 1; */ - q.dp[i - t - 1] = (q.dp[i - t - 1] + 1) & MP_MASK; + q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] + 1) & MP_MASK; do { - q.dp[i - t - 1] = (q.dp[i - t - 1] - 1) & MP_MASK; + q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] - 1) & MP_MASK; /* find left hand */ mp_zero (&t1); - t1.dp[0] = (t - 1 < 0) ? 0 : y.dp[t - 1]; + t1.dp[0] = ((t - 1) < 0) ? 0 : y.dp[t - 1]; t1.dp[1] = y.dp[t]; t1.used = 2; - if ((res = mp_mul_d (&t1, q.dp[i - t - 1], &t1)) != MP_OKAY) { + if ((res = mp_mul_d (&t1, q.dp[(i - t) - 1], &t1)) != MP_OKAY) { goto LBL_Y; } /* find right hand */ - t2.dp[0] = (i - 2 < 0) ? 0 : x.dp[i - 2]; - t2.dp[1] = (i - 1 < 0) ? 0 : x.dp[i - 1]; + t2.dp[0] = ((i - 2) < 0) ? 0 : x.dp[i - 2]; + t2.dp[1] = ((i - 1) < 0) ? 0 : x.dp[i - 1]; t2.dp[2] = x.dp[i]; t2.used = 3; } while (mp_cmp_mag(&t1, &t2) == MP_GT); /* step 3.3 x = x - q{i-t-1} * y * b**{i-t-1} */ - if ((res = mp_mul_d (&y, q.dp[i - t - 1], &t1)) != MP_OKAY) { + if ((res = mp_mul_d (&y, q.dp[(i - t) - 1], &t1)) != MP_OKAY) { goto LBL_Y; } - if ((res = mp_lshd (&t1, i - t - 1)) != MP_OKAY) { + if ((res = mp_lshd (&t1, (i - t) - 1)) != MP_OKAY) { goto LBL_Y; } @@ -244,23 +245,23 @@ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) if ((res = mp_copy (&y, &t1)) != MP_OKAY) { goto LBL_Y; } - if ((res = mp_lshd (&t1, i - t - 1)) != MP_OKAY) { + if ((res = mp_lshd (&t1, (i - t) - 1)) != MP_OKAY) { goto LBL_Y; } if ((res = mp_add (&x, &t1, &x)) != MP_OKAY) { goto LBL_Y; } - q.dp[i - t - 1] = (q.dp[i - t - 1] - 1UL) & MP_MASK; + q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] - 1UL) & MP_MASK; } } - /* now q is the quotient and x is the remainder - * [which we have to normalize] + /* now q is the quotient and x is the remainder + * [which we have to normalize] */ - + /* get sign before writing to c */ - x.sign = x.used == 0 ? MP_ZPOS : a->sign; + x.sign = (x.used == 0) ? MP_ZPOS : a->sign; if (c != NULL) { mp_clamp (&q); @@ -269,7 +270,9 @@ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } if (d != NULL) { - mp_div_2d (&x, norm, &x, NULL); + if ((res = mp_div_2d (&x, norm, &x, NULL)) != MP_OKAY) { + goto LBL_Y; + } mp_exch (&x, d); } @@ -288,5 +291,5 @@ LBL_Q:mp_clear (&q); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_div_2.c b/libtommath/bn_mp_div_2.c index 64ef823..d2a213f 100644 --- a/libtommath/bn_mp_div_2.c +++ b/libtommath/bn_mp_div_2.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DIV_2_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* b = a/2 */ @@ -30,7 +30,7 @@ int mp_div_2(mp_int * a, mp_int * b) oldused = b->used; b->used = a->used; { - register mp_digit r, rr, *tmpa, *tmpb; + mp_digit r, rr, *tmpa, *tmpb; /* source alias */ tmpa = a->dp + b->used - 1; @@ -64,5 +64,5 @@ int mp_div_2(mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_div_2d.c b/libtommath/bn_mp_div_2d.c index 72936a4..5b9fb48 100644 --- a/libtommath/bn_mp_div_2d.c +++ b/libtommath/bn_mp_div_2d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DIV_2D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* shift right by a certain bit count (store quotient in c, optional remainder in d) */ @@ -58,7 +58,7 @@ int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d) /* shift any bit count < DIGIT_BIT */ D = (mp_digit) (b % DIGIT_BIT); if (D != 0) { - register mp_digit *tmpc, mask, shift; + mp_digit *tmpc, mask, shift; /* mask */ mask = (((mp_digit)1) << D) - 1; @@ -93,5 +93,5 @@ int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_div_3.c b/libtommath/bn_mp_div_3.c index 7f6869b..c2b76fb 100644 --- a/libtommath/bn_mp_div_3.c +++ b/libtommath/bn_mp_div_3.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DIV_3_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* divide by three (based on routine from MPI and the GMP manual) */ @@ -75,5 +75,5 @@ mp_div_3 (mp_int * a, mp_int *c, mp_digit * d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_div_d.c b/libtommath/bn_mp_div_d.c index ca34e87..4df1d36 100644 --- a/libtommath/bn_mp_div_d.c +++ b/libtommath/bn_mp_div_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DIV_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ static int s_is_power_of_two(mp_digit b, int *p) @@ -20,7 +20,7 @@ static int s_is_power_of_two(mp_digit b, int *p) int x; /* fast return if no power of two */ - if ((b==0) || (b & (b-1))) { + if ((b == 0) || ((b & (b-1)) != 0)) { return 0; } @@ -47,7 +47,7 @@ int mp_div_d (mp_int * a, mp_digit b, mp_int * c, mp_digit * d) } /* quick outs */ - if (b == 1 || mp_iszero(a) == 1) { + if ((b == 1) || (mp_iszero(a) == MP_YES)) { if (d != NULL) { *d = 0; } @@ -111,5 +111,5 @@ int mp_div_d (mp_int * a, mp_digit b, mp_int * c, mp_digit * d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_dr_is_modulus.c b/libtommath/bn_mp_dr_is_modulus.c index 52b4fdf..599d929 100644 --- a/libtommath/bn_mp_dr_is_modulus.c +++ b/libtommath/bn_mp_dr_is_modulus.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DR_IS_MODULUS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines if a number is a valid DR modulus */ @@ -39,5 +39,5 @@ int mp_dr_is_modulus(mp_int *a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_dr_reduce.c b/libtommath/bn_mp_dr_reduce.c index 47f0c60..2273c79 100644 --- a/libtommath/bn_mp_dr_reduce.c +++ b/libtommath/bn_mp_dr_reduce.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DR_REDUCE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* reduce "x" in place modulo "n" using the Diminished Radix algorithm. @@ -40,7 +40,7 @@ mp_dr_reduce (mp_int * x, mp_int * n, mp_digit k) m = n->used; /* ensure that "x" has at least 2m digits */ - if (x->alloc < m + m) { + if (x->alloc < (m + m)) { if ((err = mp_grow (x, m + m)) != MP_OKAY) { return err; } @@ -62,7 +62,7 @@ top: /* compute (x mod B**m) + k * [x/B**m] inline and inplace */ for (i = 0; i < m; i++) { - r = ((mp_word)*tmpx2++) * ((mp_word)k) + *tmpx1 + mu; + r = (((mp_word)*tmpx2++) * (mp_word)k) + *tmpx1 + mu; *tmpx1++ = (mp_digit)(r & MP_MASK); mu = (mp_digit)(r >> ((mp_word)DIGIT_BIT)); } @@ -82,7 +82,9 @@ top: * Each successive "recursion" makes the input smaller and smaller. */ if (mp_cmp_mag (x, n) != MP_LT) { - s_mp_sub(x, n, x); + if ((err = s_mp_sub(x, n, x)) != MP_OKAY) { + return err; + } goto top; } return MP_OKAY; @@ -90,5 +92,5 @@ top: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_dr_setup.c b/libtommath/bn_mp_dr_setup.c index 99ee67d..1bccb2b 100644 --- a/libtommath/bn_mp_dr_setup.c +++ b/libtommath/bn_mp_dr_setup.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_DR_SETUP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines the setup value */ @@ -28,5 +28,5 @@ void mp_dr_setup(mp_int *a, mp_digit *d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_exch.c b/libtommath/bn_mp_exch.c index dd3098e..634193b 100644 --- a/libtommath/bn_mp_exch.c +++ b/libtommath/bn_mp_exch.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_EXCH_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* swap the elements of two integers, for cases where you can't simply swap the @@ -30,5 +30,5 @@ mp_exch (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_export.c b/libtommath/bn_mp_export.c new file mode 100644 index 0000000..ac4c2f9 --- /dev/null +++ b/libtommath/bn_mp_export.c @@ -0,0 +1,88 @@ +#include +#ifdef BN_MP_EXPORT_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* based on gmp's mpz_export. + * see http://gmplib.org/manual/Integer-Import-and-Export.html + */ +int mp_export(void* rop, size_t* countp, int order, size_t size, + int endian, size_t nails, mp_int* op) { + int result; + size_t odd_nails, nail_bytes, i, j, bits, count; + unsigned char odd_nail_mask; + + mp_int t; + + if ((result = mp_init_copy(&t, op)) != MP_OKAY) { + return result; + } + + if (endian == 0) { + union { + unsigned int i; + char c[4]; + } lint; + lint.i = 0x01020304; + + endian = (lint.c[0] == 4) ? -1 : 1; + } + + odd_nails = (nails % 8); + odd_nail_mask = 0xff; + for (i = 0; i < odd_nails; ++i) { + odd_nail_mask ^= (1 << (7 - i)); + } + nail_bytes = nails / 8; + + bits = mp_count_bits(&t); + count = (bits / ((size * 8) - nails)) + (((bits % ((size * 8) - nails)) != 0) ? 1 : 0); + + for (i = 0; i < count; ++i) { + for (j = 0; j < size; ++j) { + unsigned char* byte = ( + (unsigned char*)rop + + (((order == -1) ? i : ((count - 1) - i)) * size) + + ((endian == -1) ? j : ((size - 1) - j)) + ); + + if (j >= (size - nail_bytes)) { + *byte = 0; + continue; + } + + *byte = (unsigned char)((j == ((size - nail_bytes) - 1)) ? (t.dp[0] & odd_nail_mask) : (t.dp[0] & 0xFF)); + + if ((result = mp_div_2d(&t, ((j == ((size - nail_bytes) - 1)) ? (8 - odd_nails) : 8), &t, NULL)) != MP_OKAY) { + mp_clear(&t); + return result; + } + } + } + + mp_clear(&t); + + if (countp != NULL) { + *countp = count; + } + + return MP_OKAY; +} + +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_expt_d.c b/libtommath/bn_mp_expt_d.c index f9357cc..61c5a1d 100644 --- a/libtommath/bn_mp_expt_d.c +++ b/libtommath/bn_mp_expt_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_EXPT_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,46 +12,17 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* calculate c = a**b using a square-multiply algorithm */ +/* wrapper function for mp_expt_d_ex() */ int mp_expt_d (mp_int * a, mp_digit b, mp_int * c) { - int res, x; - mp_int g; - - if ((res = mp_init_copy (&g, a)) != MP_OKAY) { - return res; - } - - /* set initial result */ - mp_set (c, 1); - - for (x = 0; x < (int) DIGIT_BIT; x++) { - /* square */ - if ((res = mp_sqr (c, c)) != MP_OKAY) { - mp_clear (&g); - return res; - } - - /* if the bit is set multiply */ - if ((b & (mp_digit) (((mp_digit)1) << (DIGIT_BIT - 1))) != 0) { - if ((res = mp_mul (c, &g, c)) != MP_OKAY) { - mp_clear (&g); - return res; - } - } - - /* shift to next bit */ - b <<= 1; - } - - mp_clear (&g); - return MP_OKAY; + return mp_expt_d_ex(a, b, c, 0); } + #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_expt_d_ex.c b/libtommath/bn_mp_expt_d_ex.c new file mode 100644 index 0000000..649d224 --- /dev/null +++ b/libtommath/bn_mp_expt_d_ex.c @@ -0,0 +1,83 @@ +#include +#ifdef BN_MP_EXPT_D_EX_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* calculate c = a**b using a square-multiply algorithm */ +int mp_expt_d_ex (mp_int * a, mp_digit b, mp_int * c, int fast) +{ + int res; + unsigned int x; + + mp_int g; + + if ((res = mp_init_copy (&g, a)) != MP_OKAY) { + return res; + } + + /* set initial result */ + mp_set (c, 1); + + if (fast != 0) { + while (b > 0) { + /* if the bit is set multiply */ + if ((b & 1) != 0) { + if ((res = mp_mul (c, &g, c)) != MP_OKAY) { + mp_clear (&g); + return res; + } + } + + /* square */ + if (b > 1) { + if ((res = mp_sqr (&g, &g)) != MP_OKAY) { + mp_clear (&g); + return res; + } + } + + /* shift to next bit */ + b >>= 1; + } + } + else { + for (x = 0; x < DIGIT_BIT; x++) { + /* square */ + if ((res = mp_sqr (c, c)) != MP_OKAY) { + mp_clear (&g); + return res; + } + + /* if the bit is set multiply */ + if ((b & (mp_digit) (((mp_digit)1) << (DIGIT_BIT - 1))) != 0) { + if ((res = mp_mul (c, &g, c)) != MP_OKAY) { + mp_clear (&g); + return res; + } + } + + /* shift to next bit */ + b <<= 1; + } + } /* if ... else */ + + mp_clear (&g); + return MP_OKAY; +} +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_exptmod.c b/libtommath/bn_mp_exptmod.c index 8fbce19..0973e44 100644 --- a/libtommath/bn_mp_exptmod.c +++ b/libtommath/bn_mp_exptmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_EXPTMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ @@ -89,7 +89,7 @@ int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) /* if the modulus is odd or dr != 0 use the montgomery method */ #ifdef BN_MP_EXPTMOD_FAST_C - if (mp_isodd (P) == 1 || dr != 0) { + if ((mp_isodd (P) == MP_YES) || (dr != 0)) { return mp_exptmod_fast (G, X, P, Y, dr); } else { #endif @@ -108,5 +108,5 @@ int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_exptmod_fast.c b/libtommath/bn_mp_exptmod_fast.c index 60c7e2b..8d280bd 100644 --- a/libtommath/bn_mp_exptmod_fast.c +++ b/libtommath/bn_mp_exptmod_fast.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_EXPTMOD_FAST_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes Y == G**X mod P, HAC pp.616, Algorithm 14.85 @@ -96,8 +96,8 @@ int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode /* automatically pick the comba one if available (saves quite a few calls/ifs) */ #ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C - if (((P->used * 2 + 1) < MP_WARRAY) && - P->used < (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + if ((((P->used * 2) + 1) < MP_WARRAY) && + (P->used < (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { redux = fast_mp_montgomery_reduce; } else #endif @@ -219,12 +219,12 @@ int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode * in the exponent. Technically this opt is not required but it * does lower the # of trivial squaring/reductions used */ - if (mode == 0 && y == 0) { + if ((mode == 0) && (y == 0)) { continue; } /* if the bit is zero and mode == 1 then we square */ - if (mode == 1 && y == 0) { + if ((mode == 1) && (y == 0)) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { goto LBL_RES; } @@ -266,7 +266,7 @@ int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode } /* if bits remain then square/multiply */ - if (mode == 2 && bitcpy > 0) { + if ((mode == 2) && (bitcpy > 0)) { /* square then multiply if the bit is set */ for (x = 0; x < bitcpy; x++) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { @@ -317,5 +317,5 @@ LBL_M: /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_exteuclid.c b/libtommath/bn_mp_exteuclid.c index c65928d..fbbd92c 100644 --- a/libtommath/bn_mp_exteuclid.c +++ b/libtommath/bn_mp_exteuclid.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_EXTEUCLID_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,10 +12,10 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* Extended euclidean algorithm of (a, b) produces +/* Extended euclidean algorithm of (a, b) produces a*u1 + b*u2 = u3 */ int mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3) @@ -61,9 +61,9 @@ int mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3) /* make sure U3 >= 0 */ if (u3.sign == MP_NEG) { - mp_neg(&u1, &u1); - mp_neg(&u2, &u2); - mp_neg(&u3, &u3); + if ((err = mp_neg(&u1, &u1)) != MP_OKAY) { goto _ERR; } + if ((err = mp_neg(&u2, &u2)) != MP_OKAY) { goto _ERR; } + if ((err = mp_neg(&u3, &u3)) != MP_OKAY) { goto _ERR; } } /* copy result out */ @@ -78,5 +78,5 @@ _ERR: mp_clear_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_fread.c b/libtommath/bn_mp_fread.c index a2e51a1..a4fa8c9 100644 --- a/libtommath/bn_mp_fread.c +++ b/libtommath/bn_mp_fread.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_FREAD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* read a bigint from a file stream in ASCII */ @@ -63,5 +63,5 @@ int mp_fread(mp_int *a, int radix, FILE *stream) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_fwrite.c b/libtommath/bn_mp_fwrite.c index b3fd834..90f1fc5 100644 --- a/libtommath/bn_mp_fwrite.c +++ b/libtommath/bn_mp_fwrite.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_FWRITE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ int mp_fwrite(mp_int *a, int radix, FILE *stream) @@ -48,5 +48,5 @@ int mp_fwrite(mp_int *a, int radix, FILE *stream) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_gcd.c b/libtommath/bn_mp_gcd.c index b45cfed..16acfd9 100644 --- a/libtommath/bn_mp_gcd.c +++ b/libtommath/bn_mp_gcd.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_GCD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* Greatest Common Divisor using the binary method */ @@ -70,7 +70,7 @@ int mp_gcd (mp_int * a, mp_int * b, mp_int * c) } } - while (mp_iszero(&v) == 0) { + while (mp_iszero(&v) == MP_NO) { /* make sure v is the largest */ if (mp_cmp_mag(&u, &v) == MP_GT) { /* swap u and v to make sure v is >= u */ @@ -101,5 +101,5 @@ LBL_U:mp_clear (&v); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_get_int.c b/libtommath/bn_mp_get_int.c index 11baa0e..99fb850 100644 --- a/libtommath/bn_mp_get_int.c +++ b/libtommath/bn_mp_get_int.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_GET_INT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,25 +12,25 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* get the lower 32-bits of an mp_int */ -unsigned long mp_get_int(mp_int * a) +unsigned long mp_get_int(mp_int * a) { int i; - unsigned long res; + mp_min_u32 res; if (a->used == 0) { return 0; } /* get number of digits of the lsb we have to read */ - i = MIN(a->used,(int)((sizeof(unsigned long)*CHAR_BIT+DIGIT_BIT-1)/DIGIT_BIT))-1; + i = MIN(a->used,(int)(((sizeof(unsigned long) * CHAR_BIT) + DIGIT_BIT - 1) / DIGIT_BIT)) - 1; /* get most significant digit of result */ res = DIGIT(a,i); - + while (--i >= 0) { res = (res << DIGIT_BIT) | DIGIT(a,i); } @@ -41,5 +41,5 @@ unsigned long mp_get_int(mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_get_long.c b/libtommath/bn_mp_get_long.c new file mode 100644 index 0000000..7c3d0fe --- /dev/null +++ b/libtommath/bn_mp_get_long.c @@ -0,0 +1,41 @@ +#include +#ifdef BN_MP_GET_LONG_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* get the lower unsigned long of an mp_int, platform dependent */ +unsigned long mp_get_long(mp_int * a) +{ + int i; + unsigned long res; + + if (a->used == 0) { + return 0; + } + + /* get number of digits of the lsb we have to read */ + i = MIN(a->used,(int)(((sizeof(unsigned long) * CHAR_BIT) + DIGIT_BIT - 1) / DIGIT_BIT)) - 1; + + /* get most significant digit of result */ + res = DIGIT(a,i); + +#if (ULONG_MAX != 0xffffffffuL) || (DIGIT_BIT < 32) + while (--i >= 0) { + res = (res << DIGIT_BIT) | DIGIT(a,i); + } +#endif + return res; +} +#endif diff --git a/libtommath/bn_mp_get_long_long.c b/libtommath/bn_mp_get_long_long.c new file mode 100644 index 0000000..4b959e6 --- /dev/null +++ b/libtommath/bn_mp_get_long_long.c @@ -0,0 +1,41 @@ +#include +#ifdef BN_MP_GET_LONG_LONG_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* get the lower unsigned long long of an mp_int, platform dependent */ +unsigned long long mp_get_long_long (mp_int * a) +{ + int i; + unsigned long long res; + + if (a->used == 0) { + return 0; + } + + /* get number of digits of the lsb we have to read */ + i = MIN(a->used,(int)(((sizeof(unsigned long long) * CHAR_BIT) + DIGIT_BIT - 1) / DIGIT_BIT)) - 1; + + /* get most significant digit of result */ + res = DIGIT(a,i); + +#if DIGIT_BIT < 64 + while (--i >= 0) { + res = (res << DIGIT_BIT) | DIGIT(a,i); + } +#endif + return res; +} +#endif diff --git a/libtommath/bn_mp_grow.c b/libtommath/bn_mp_grow.c index f1c1cab..cbdcfed 100644 --- a/libtommath/bn_mp_grow.c +++ b/libtommath/bn_mp_grow.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_GROW_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* grow as required */ @@ -53,5 +53,5 @@ int mp_grow (mp_int * a, int size) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_import.c b/libtommath/bn_mp_import.c new file mode 100644 index 0000000..dd4b8e6 --- /dev/null +++ b/libtommath/bn_mp_import.c @@ -0,0 +1,73 @@ +#include +#ifdef BN_MP_IMPORT_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* based on gmp's mpz_import. + * see http://gmplib.org/manual/Integer-Import-and-Export.html + */ +int mp_import(mp_int* rop, size_t count, int order, size_t size, + int endian, size_t nails, const void* op) { + int result; + size_t odd_nails, nail_bytes, i, j; + unsigned char odd_nail_mask; + + mp_zero(rop); + + if (endian == 0) { + union { + unsigned int i; + char c[4]; + } lint; + lint.i = 0x01020304; + + endian = (lint.c[0] == 4) ? -1 : 1; + } + + odd_nails = (nails % 8); + odd_nail_mask = 0xff; + for (i = 0; i < odd_nails; ++i) { + odd_nail_mask ^= (1 << (7 - i)); + } + nail_bytes = nails / 8; + + for (i = 0; i < count; ++i) { + for (j = 0; j < (size - nail_bytes); ++j) { + unsigned char byte = *( + (unsigned char*)op + + (((order == 1) ? i : ((count - 1) - i)) * size) + + ((endian == 1) ? (j + nail_bytes) : (((size - 1) - j) - nail_bytes)) + ); + + if ( + (result = mp_mul_2d(rop, ((j == 0) ? (8 - odd_nails) : 8), rop)) != MP_OKAY) { + return result; + } + + rop->dp[0] |= (j == 0) ? (byte & odd_nail_mask) : byte; + rop->used += 1; + } + } + + mp_clamp(rop); + + return MP_OKAY; +} + +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_init.c b/libtommath/bn_mp_init.c index 79cca3c..7a57730 100644 --- a/libtommath/bn_mp_init.c +++ b/libtommath/bn_mp_init.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INIT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* init a new mp_int */ @@ -42,5 +42,5 @@ int mp_init (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_init_copy.c b/libtommath/bn_mp_init_copy.c index 8ce0ef9..9e15f36 100644 --- a/libtommath/bn_mp_init_copy.c +++ b/libtommath/bn_mp_init_copy.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INIT_COPY_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* creates "a" then copies b into it */ @@ -20,7 +20,7 @@ int mp_init_copy (mp_int * a, mp_int * b) { int res; - if ((res = mp_init (a)) != MP_OKAY) { + if ((res = mp_init_size (a, b->used)) != MP_OKAY) { return res; } return mp_copy (b, a); @@ -28,5 +28,5 @@ int mp_init_copy (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_init_multi.c b/libtommath/bn_mp_init_multi.c index a40ea8e..52220a3 100644 --- a/libtommath/bn_mp_init_multi.c +++ b/libtommath/bn_mp_init_multi.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INIT_MULTI_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ #include @@ -37,7 +37,7 @@ int mp_init_multi(mp_int *mp, ...) /* now start cleaning up */ cur_arg = mp; va_start(clean_args, mp); - while (n--) { + while (n-- != 0) { mp_clear(cur_arg); cur_arg = va_arg(clean_args, mp_int*); } @@ -55,5 +55,5 @@ int mp_init_multi(mp_int *mp, ...) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_init_set.c b/libtommath/bn_mp_init_set.c index f9b08e9..c337e50 100644 --- a/libtommath/bn_mp_init_set.c +++ b/libtommath/bn_mp_init_set.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INIT_SET_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* initialize and set a digit */ @@ -28,5 +28,5 @@ int mp_init_set (mp_int * a, mp_digit b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_init_set_int.c b/libtommath/bn_mp_init_set_int.c index 9473c3f..c88f14e 100644 --- a/libtommath/bn_mp_init_set_int.c +++ b/libtommath/bn_mp_init_set_int.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INIT_SET_INT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* initialize and set a digit */ @@ -27,5 +27,5 @@ int mp_init_set_int (mp_int * a, unsigned long b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_init_size.c b/libtommath/bn_mp_init_size.c index 69dd49c..e1d1b51 100644 --- a/libtommath/bn_mp_init_size.c +++ b/libtommath/bn_mp_init_size.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INIT_SIZE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* init an mp_init for a given size */ @@ -44,5 +44,5 @@ int mp_init_size (mp_int * a, int size) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_invmod.c b/libtommath/bn_mp_invmod.c index f4bdc17..44951e5 100644 --- a/libtommath/bn_mp_invmod.c +++ b/libtommath/bn_mp_invmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INVMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,32 +12,32 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* hac 14.61, pp608 */ int mp_invmod (mp_int * a, mp_int * b, mp_int * c) { /* b cannot be negative */ - if (b->sign == MP_NEG || mp_iszero(b) == 1) { + if ((b->sign == MP_NEG) || (mp_iszero(b) == MP_YES)) { return MP_VAL; } #ifdef BN_FAST_MP_INVMOD_C /* if the modulus is odd we can use a faster routine instead */ - if (mp_isodd (b) == 1) { + if (mp_isodd (b) == MP_YES) { return fast_mp_invmod (a, b, c); } #endif #ifdef BN_MP_INVMOD_SLOW_C return mp_invmod_slow(a, b, c); -#endif - +#else return MP_VAL; +#endif } #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_invmod_slow.c b/libtommath/bn_mp_invmod_slow.c index 2430f02..a21f947 100644 --- a/libtommath/bn_mp_invmod_slow.c +++ b/libtommath/bn_mp_invmod_slow.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_INVMOD_SLOW_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* hac 14.61, pp608 */ @@ -22,7 +22,7 @@ int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c) int res; /* b cannot be negative */ - if (b->sign == MP_NEG || mp_iszero(b) == 1) { + if ((b->sign == MP_NEG) || (mp_iszero(b) == MP_YES)) { return MP_VAL; } @@ -41,7 +41,7 @@ int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c) } /* 2. [modified] if x,y are both even then return an error! */ - if (mp_iseven (&x) == 1 && mp_iseven (&y) == 1) { + if ((mp_iseven (&x) == MP_YES) && (mp_iseven (&y) == MP_YES)) { res = MP_VAL; goto LBL_ERR; } @@ -58,13 +58,13 @@ int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c) top: /* 4. while u is even do */ - while (mp_iseven (&u) == 1) { + while (mp_iseven (&u) == MP_YES) { /* 4.1 u = u/2 */ if ((res = mp_div_2 (&u, &u)) != MP_OKAY) { goto LBL_ERR; } /* 4.2 if A or B is odd then */ - if (mp_isodd (&A) == 1 || mp_isodd (&B) == 1) { + if ((mp_isodd (&A) == MP_YES) || (mp_isodd (&B) == MP_YES)) { /* A = (A+y)/2, B = (B-x)/2 */ if ((res = mp_add (&A, &y, &A)) != MP_OKAY) { goto LBL_ERR; @@ -83,13 +83,13 @@ top: } /* 5. while v is even do */ - while (mp_iseven (&v) == 1) { + while (mp_iseven (&v) == MP_YES) { /* 5.1 v = v/2 */ if ((res = mp_div_2 (&v, &v)) != MP_OKAY) { goto LBL_ERR; } /* 5.2 if C or D is odd then */ - if (mp_isodd (&C) == 1 || mp_isodd (&D) == 1) { + if ((mp_isodd (&C) == MP_YES) || (mp_isodd (&D) == MP_YES)) { /* C = (C+y)/2, D = (D-x)/2 */ if ((res = mp_add (&C, &y, &C)) != MP_OKAY) { goto LBL_ERR; @@ -137,7 +137,7 @@ top: } /* if not zero goto step 4 */ - if (mp_iszero (&u) == 0) + if (mp_iszero (&u) == MP_NO) goto top; /* now a = C, b = D, gcd == g*v */ @@ -171,5 +171,5 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_is_square.c b/libtommath/bn_mp_is_square.c index 12b9ec7..9f065ef 100644 --- a/libtommath/bn_mp_is_square.c +++ b/libtommath/bn_mp_is_square.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_IS_SQUARE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* Check if remainders are possible squares - fast exclude non-squares */ @@ -82,13 +82,13 @@ int mp_is_square(mp_int *arg,int *ret) * free "t" so the easiest way is to goto ERR. We know that res * is already equal to MP_OKAY from the mp_mod call */ - if ( (1L<<(r%11)) & 0x5C4L ) goto ERR; - if ( (1L<<(r%13)) & 0x9E4L ) goto ERR; - if ( (1L<<(r%17)) & 0x5CE8L ) goto ERR; - if ( (1L<<(r%19)) & 0x4F50CL ) goto ERR; - if ( (1L<<(r%23)) & 0x7ACCA0L ) goto ERR; - if ( (1L<<(r%29)) & 0xC2EDD0CL ) goto ERR; - if ( (1L<<(r%31)) & 0x6DE2B848L ) goto ERR; + if (((1L<<(r%11)) & 0x5C4L) != 0L) goto ERR; + if (((1L<<(r%13)) & 0x9E4L) != 0L) goto ERR; + if (((1L<<(r%17)) & 0x5CE8L) != 0L) goto ERR; + if (((1L<<(r%19)) & 0x4F50CL) != 0L) goto ERR; + if (((1L<<(r%23)) & 0x7ACCA0L) != 0L) goto ERR; + if (((1L<<(r%29)) & 0xC2EDD0CL) != 0L) goto ERR; + if (((1L<<(r%31)) & 0x6DE2B848L) != 0L) goto ERR; /* Final check - is sqr(sqrt(arg)) == arg ? */ if ((res = mp_sqrt(arg,&t)) != MP_OKAY) { @@ -105,5 +105,5 @@ ERR:mp_clear(&t); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_jacobi.c b/libtommath/bn_mp_jacobi.c index 07a9d65..3c114e3 100644 --- a/libtommath/bn_mp_jacobi.c +++ b/libtommath/bn_mp_jacobi.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_JACOBI_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,27 +12,39 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes the jacobi c = (a | n) (or Legendre if n is prime) * HAC pp. 73 Algorithm 2.149 + * HAC is wrong here, as the special case of (0 | 1) is not + * handled correctly. */ -int mp_jacobi (mp_int * a, mp_int * p, int *c) +int mp_jacobi (mp_int * a, mp_int * n, int *c) { mp_int a1, p1; int k, s, r, res; mp_digit residue; - /* if p <= 0 return MP_VAL */ - if (mp_cmp_d(p, 0) != MP_GT) { + /* if a < 0 return MP_VAL */ + if (mp_isneg(a) == MP_YES) { return MP_VAL; } - /* step 1. if a == 0, return 0 */ - if (mp_iszero (a) == 1) { - *c = 0; - return MP_OKAY; + /* if n <= 0 return MP_VAL */ + if (mp_cmp_d(n, 0) != MP_GT) { + return MP_VAL; + } + + /* step 1. handle case of a == 0 */ + if (mp_iszero (a) == MP_YES) { + /* special case of a == 0 and n == 1 */ + if (mp_cmp_d (n, 1) == MP_EQ) { + *c = 1; + } else { + *c = 0; + } + return MP_OKAY; } /* step 2. if a == 1, return 1 */ @@ -64,17 +76,17 @@ int mp_jacobi (mp_int * a, mp_int * p, int *c) s = 1; } else { /* else set s=1 if p = 1/7 (mod 8) or s=-1 if p = 3/5 (mod 8) */ - residue = p->dp[0] & 7; + residue = n->dp[0] & 7; - if (residue == 1 || residue == 7) { + if ((residue == 1) || (residue == 7)) { s = 1; - } else if (residue == 3 || residue == 5) { + } else if ((residue == 3) || (residue == 5)) { s = -1; } } /* step 5. if p == 3 (mod 4) *and* a1 == 3 (mod 4) then s = -s */ - if ( ((p->dp[0] & 3) == 3) && ((a1.dp[0] & 3) == 3)) { + if ( ((n->dp[0] & 3) == 3) && ((a1.dp[0] & 3) == 3)) { s = -s; } @@ -83,7 +95,7 @@ int mp_jacobi (mp_int * a, mp_int * p, int *c) *c = s; } else { /* n1 = n mod a1 */ - if ((res = mp_mod (p, &a1, &p1)) != MP_OKAY) { + if ((res = mp_mod (n, &a1, &p1)) != MP_OKAY) { goto LBL_P1; } if ((res = mp_jacobi (&p1, &a1, &r)) != MP_OKAY) { @@ -101,5 +113,5 @@ LBL_A1:mp_clear (&a1); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_karatsuba_mul.c b/libtommath/bn_mp_karatsuba_mul.c index 62e885c..d65e37e 100644 --- a/libtommath/bn_mp_karatsuba_mul.c +++ b/libtommath/bn_mp_karatsuba_mul.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_KARATSUBA_MUL_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* c = |a| * |b| using Karatsuba Multiplication using @@ -82,8 +82,8 @@ int mp_karatsuba_mul (mp_int * a, mp_int * b, mp_int * c) y1.used = b->used - B; { - register int x; - register mp_digit *tmpa, *tmpb, *tmpx, *tmpy; + int x; + mp_digit *tmpa, *tmpb, *tmpx, *tmpy; /* we copy the digits directly instead of using higher level functions * since we also need to shift the digits @@ -163,5 +163,5 @@ ERR: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_karatsuba_sqr.c b/libtommath/bn_mp_karatsuba_sqr.c index ce5c753..739840d 100644 --- a/libtommath/bn_mp_karatsuba_sqr.c +++ b/libtommath/bn_mp_karatsuba_sqr.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_KARATSUBA_SQR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* Karatsuba squaring, computes b = a*a using three @@ -52,8 +52,8 @@ int mp_karatsuba_sqr (mp_int * a, mp_int * b) goto X0X0; { - register int x; - register mp_digit *dst, *src; + int x; + mp_digit *dst, *src; src = a->dp; @@ -117,5 +117,5 @@ ERR: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_lcm.c b/libtommath/bn_mp_lcm.c index a4115da..3bff571 100644 --- a/libtommath/bn_mp_lcm.c +++ b/libtommath/bn_mp_lcm.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_LCM_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes least common multiple as |a*b|/(a, b) */ @@ -56,5 +56,5 @@ LBL_T: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_lshd.c b/libtommath/bn_mp_lshd.c index 87c216b..f6f800f 100644 --- a/libtommath/bn_mp_lshd.c +++ b/libtommath/bn_mp_lshd.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_LSHD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* shift left a certain amount of digits */ @@ -26,14 +26,14 @@ int mp_lshd (mp_int * a, int b) } /* grow to fit the new digits */ - if (a->alloc < a->used + b) { + if (a->alloc < (a->used + b)) { if ((res = mp_grow (a, a->used + b)) != MP_OKAY) { return res; } } { - register mp_digit *top, *bottom; + mp_digit *top, *bottom; /* increment the used by the shift amount then copy upwards */ a->used += b; @@ -42,7 +42,7 @@ int mp_lshd (mp_int * a, int b) top = a->dp + a->used - 1; /* base */ - bottom = a->dp + a->used - 1 - b; + bottom = (a->dp + a->used - 1) - b; /* much like mp_rshd this is implemented using a sliding window * except the window goes the otherway around. Copying from @@ -63,5 +63,5 @@ int mp_lshd (mp_int * a, int b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mod.c b/libtommath/bn_mp_mod.c index 6828328..b67467d 100644 --- a/libtommath/bn_mp_mod.c +++ b/libtommath/bn_mp_mod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,10 +12,10 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* c = a mod b, 0 <= c < b */ +/* c = a mod b, 0 <= c < b if b > 0, b < c <= 0 if b < 0 */ int mp_mod (mp_int * a, mp_int * b, mp_int * c) { @@ -31,11 +31,11 @@ mp_mod (mp_int * a, mp_int * b, mp_int * c) return res; } - if (t.sign != b->sign) { - res = mp_add (b, &t, c); - } else { + if ((mp_iszero(&t) != MP_NO) || (t.sign == b->sign)) { res = MP_OKAY; mp_exch (&t, c); + } else { + res = mp_add (b, &t, c); } mp_clear (&t); @@ -44,5 +44,5 @@ mp_mod (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mod_2d.c b/libtommath/bn_mp_mod_2d.c index 77f13c3..926f810 100644 --- a/libtommath/bn_mp_mod_2d.c +++ b/libtommath/bn_mp_mod_2d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MOD_2D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* calc a value mod 2**b */ @@ -39,7 +39,7 @@ mp_mod_2d (mp_int * a, int b, mp_int * c) } /* zero digits above the last digit of the modulus */ - for (x = (b / DIGIT_BIT) + ((b % DIGIT_BIT) == 0 ? 0 : 1); x < c->used; x++) { + for (x = (b / DIGIT_BIT) + (((b % DIGIT_BIT) == 0) ? 0 : 1); x < c->used; x++) { c->dp[x] = 0; } /* clear the digit that is not completely outside/inside the modulus */ @@ -51,5 +51,5 @@ mp_mod_2d (mp_int * a, int b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mod_d.c b/libtommath/bn_mp_mod_d.c index 4ad3d90..d8722f0 100644 --- a/libtommath/bn_mp_mod_d.c +++ b/libtommath/bn_mp_mod_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MOD_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ int @@ -23,5 +23,5 @@ mp_mod_d (mp_int * a, mp_digit b, mp_digit * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_montgomery_calc_normalization.c b/libtommath/bn_mp_montgomery_calc_normalization.c index 4825ab5..ea87cbd 100644 --- a/libtommath/bn_mp_montgomery_calc_normalization.c +++ b/libtommath/bn_mp_montgomery_calc_normalization.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MONTGOMERY_CALC_NORMALIZATION_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* @@ -29,7 +29,7 @@ int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) bits = mp_count_bits (b) % DIGIT_BIT; if (b->used > 1) { - if ((res = mp_2expt (a, (b->used - 1) * DIGIT_BIT + bits - 1)) != MP_OKAY) { + if ((res = mp_2expt (a, ((b->used - 1) * DIGIT_BIT) + bits - 1)) != MP_OKAY) { return res; } } else { @@ -55,5 +55,5 @@ int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_montgomery_reduce.c b/libtommath/bn_mp_montgomery_reduce.c index 3c73268..af2cc58 100644 --- a/libtommath/bn_mp_montgomery_reduce.c +++ b/libtommath/bn_mp_montgomery_reduce.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MONTGOMERY_REDUCE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes xR**-1 == x (mod N) via Montgomery Reduction */ @@ -28,10 +28,10 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * than the available columns [255 per default] since carries * are fixed up in the inner loop. */ - digs = n->used * 2 + 1; + digs = (n->used * 2) + 1; if ((digs < MP_WARRAY) && - n->used < - (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + (n->used < + (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { return fast_mp_montgomery_reduce (x, n, rho); } @@ -52,13 +52,13 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * following inner loop to reduce the * input one digit at a time */ - mu = (mp_digit) (((mp_word)x->dp[ix]) * ((mp_word)rho) & MP_MASK); + mu = (mp_digit) (((mp_word)x->dp[ix] * (mp_word)rho) & MP_MASK); /* a = a + mu * m * b**i */ { - register int iy; - register mp_digit *tmpn, *tmpx, u; - register mp_word r; + int iy; + mp_digit *tmpn, *tmpx, u; + mp_word r; /* alias for digits of the modulus */ tmpn = n->dp; @@ -72,8 +72,8 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) /* Multiply and add in place */ for (iy = 0; iy < n->used; iy++) { /* compute product and sum */ - r = ((mp_word)mu) * ((mp_word)*tmpn++) + - ((mp_word) u) + ((mp_word) * tmpx); + r = ((mp_word)mu * (mp_word)*tmpn++) + + (mp_word) u + (mp_word) *tmpx; /* get carry */ u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); @@ -85,7 +85,7 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) /* propagate carries upwards as required*/ - while (u) { + while (u != 0) { *tmpx += u; u = *tmpx >> DIGIT_BIT; *tmpx++ &= MP_MASK; @@ -114,5 +114,5 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_montgomery_setup.c b/libtommath/bn_mp_montgomery_setup.c index 0de27bb..264a2bd 100644 --- a/libtommath/bn_mp_montgomery_setup.c +++ b/libtommath/bn_mp_montgomery_setup.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MONTGOMERY_SETUP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* setups the montgomery reduction stuff */ @@ -36,24 +36,24 @@ mp_montgomery_setup (mp_int * n, mp_digit * rho) } x = (((b + 2) & 4) << 1) + b; /* here x*a==1 mod 2**4 */ - x *= 2 - b * x; /* here x*a==1 mod 2**8 */ + x *= 2 - (b * x); /* here x*a==1 mod 2**8 */ #if !defined(MP_8BIT) - x *= 2 - b * x; /* here x*a==1 mod 2**16 */ + x *= 2 - (b * x); /* here x*a==1 mod 2**16 */ #endif #if defined(MP_64BIT) || !(defined(MP_8BIT) || defined(MP_16BIT)) - x *= 2 - b * x; /* here x*a==1 mod 2**32 */ + x *= 2 - (b * x); /* here x*a==1 mod 2**32 */ #endif #ifdef MP_64BIT - x *= 2 - b * x; /* here x*a==1 mod 2**64 */ + x *= 2 - (b * x); /* here x*a==1 mod 2**64 */ #endif /* rho = -1/m mod b */ - *rho = (unsigned long)(((mp_word)1 << ((mp_word) DIGIT_BIT)) - x) & MP_MASK; + *rho = (mp_digit)(((mp_word)1 << ((mp_word) DIGIT_BIT)) - x) & MP_MASK; return MP_OKAY; } #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mul.c b/libtommath/bn_mp_mul.c index bd75d04..ea53d5e 100644 --- a/libtommath/bn_mp_mul.c +++ b/libtommath/bn_mp_mul.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MUL_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* high level multiplication (handles sign) */ @@ -44,17 +44,18 @@ int mp_mul (mp_int * a, mp_int * b, mp_int * c) #ifdef BN_FAST_S_MP_MUL_DIGS_C if ((digs < MP_WARRAY) && - MIN(a->used, b->used) <= - (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + (MIN(a->used, b->used) <= + (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { res = fast_s_mp_mul_digs (a, b, c, digs); } else #endif + { #ifdef BN_S_MP_MUL_DIGS_C res = s_mp_mul (a, b, c); /* uses s_mp_mul_digs */ #else res = MP_VAL; #endif - + } } c->sign = (c->used > 0) ? neg : MP_ZPOS; return res; @@ -62,5 +63,5 @@ int mp_mul (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mul_2.c b/libtommath/bn_mp_mul_2.c index 6ba76be..9c72c7f 100644 --- a/libtommath/bn_mp_mul_2.c +++ b/libtommath/bn_mp_mul_2.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MUL_2_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* b = a*2 */ @@ -21,7 +21,7 @@ int mp_mul_2(mp_int * a, mp_int * b) int x, res, oldused; /* grow to accomodate result */ - if (b->alloc < a->used + 1) { + if (b->alloc < (a->used + 1)) { if ((res = mp_grow (b, a->used + 1)) != MP_OKAY) { return res; } @@ -31,7 +31,7 @@ int mp_mul_2(mp_int * a, mp_int * b) b->used = a->used; { - register mp_digit r, rr, *tmpa, *tmpb; + mp_digit r, rr, *tmpa, *tmpb; /* alias for source */ tmpa = a->dp; @@ -78,5 +78,5 @@ int mp_mul_2(mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mul_2d.c b/libtommath/bn_mp_mul_2d.c index 385ac59..9967e46 100644 --- a/libtommath/bn_mp_mul_2d.c +++ b/libtommath/bn_mp_mul_2d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MUL_2D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* shift left by a certain bit count */ @@ -28,8 +28,8 @@ int mp_mul_2d (mp_int * a, int b, mp_int * c) } } - if (c->alloc < (int)(c->used + b/DIGIT_BIT + 1)) { - if ((res = mp_grow (c, c->used + b / DIGIT_BIT + 1)) != MP_OKAY) { + if (c->alloc < (int)(c->used + (b / DIGIT_BIT) + 1)) { + if ((res = mp_grow (c, c->used + (b / DIGIT_BIT) + 1)) != MP_OKAY) { return res; } } @@ -44,8 +44,8 @@ int mp_mul_2d (mp_int * a, int b, mp_int * c) /* shift any bit count < DIGIT_BIT */ d = (mp_digit) (b % DIGIT_BIT); if (d != 0) { - register mp_digit *tmpc, shift, mask, r, rr; - register int x; + mp_digit *tmpc, shift, mask, r, rr; + int x; /* bitmask for carries */ mask = (((mp_digit)1) << d) - 1; @@ -81,5 +81,5 @@ int mp_mul_2d (mp_int * a, int b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mul_d.c b/libtommath/bn_mp_mul_d.c index 13c6066..e77da5d 100644 --- a/libtommath/bn_mp_mul_d.c +++ b/libtommath/bn_mp_mul_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MUL_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* multiply by a digit */ @@ -24,7 +24,7 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c) int ix, res, olduse; /* make sure c is big enough to hold a*b */ - if (c->alloc < a->used + 1) { + if (c->alloc < (a->used + 1)) { if ((res = mp_grow (c, a->used + 1)) != MP_OKAY) { return res; } @@ -48,7 +48,7 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c) /* compute columns */ for (ix = 0; ix < a->used; ix++) { /* compute product and carry sum for this term */ - r = ((mp_word) u) + ((mp_word)*tmpa++) * ((mp_word)b); + r = (mp_word)u + ((mp_word)*tmpa++ * (mp_word)b); /* mask off higher bits to get a single digit */ *tmpc++ = (mp_digit) (r & ((mp_word) MP_MASK)); @@ -75,5 +75,5 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_mulmod.c b/libtommath/bn_mp_mulmod.c index eebca37..5ea88ef 100644 --- a/libtommath/bn_mp_mulmod.c +++ b/libtommath/bn_mp_mulmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_MULMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* d = a * b (mod c) */ @@ -36,5 +36,5 @@ int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_n_root.c b/libtommath/bn_mp_n_root.c index e6bf725..a14ee67 100644 --- a/libtommath/bn_mp_n_root.c +++ b/libtommath/bn_mp_n_root.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_N_ROOT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,121 +12,19 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* find the n'th root of an integer - * - * Result found such that (c)**b <= a and (c+1)**b > a - * - * This algorithm uses Newton's approximation - * x[i+1] = x[i] - f(x[i])/f'(x[i]) - * which will find the root in log(N) time where - * each step involves a fair bit. This is not meant to - * find huge roots [square and cube, etc]. +/* wrapper function for mp_n_root_ex() + * computes c = (a)**(1/b) such that (c)**b <= a and (c+1)**b > a */ int mp_n_root (mp_int * a, mp_digit b, mp_int * c) { - mp_int t1, t2, t3; - int res, neg; - - /* input must be positive if b is even */ - if ((b & 1) == 0 && a->sign == MP_NEG) { - return MP_VAL; - } - - if ((res = mp_init (&t1)) != MP_OKAY) { - return res; - } - - if ((res = mp_init (&t2)) != MP_OKAY) { - goto LBL_T1; - } - - if ((res = mp_init (&t3)) != MP_OKAY) { - goto LBL_T2; - } - - /* if a is negative fudge the sign but keep track */ - neg = a->sign; - a->sign = MP_ZPOS; - - /* t2 = 2 */ - mp_set (&t2, 2); - - do { - /* t1 = t2 */ - if ((res = mp_copy (&t2, &t1)) != MP_OKAY) { - goto LBL_T3; - } - - /* t2 = t1 - ((t1**b - a) / (b * t1**(b-1))) */ - - /* t3 = t1**(b-1) */ - if ((res = mp_expt_d (&t1, b - 1, &t3)) != MP_OKAY) { - goto LBL_T3; - } - - /* numerator */ - /* t2 = t1**b */ - if ((res = mp_mul (&t3, &t1, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - /* t2 = t1**b - a */ - if ((res = mp_sub (&t2, a, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - /* denominator */ - /* t3 = t1**(b-1) * b */ - if ((res = mp_mul_d (&t3, b, &t3)) != MP_OKAY) { - goto LBL_T3; - } - - /* t3 = (t1**b - a)/(b * t1**(b-1)) */ - if ((res = mp_div (&t2, &t3, &t3, NULL)) != MP_OKAY) { - goto LBL_T3; - } - - if ((res = mp_sub (&t1, &t3, &t2)) != MP_OKAY) { - goto LBL_T3; - } - } while (mp_cmp (&t1, &t2) != MP_EQ); - - /* result can be off by a few so check */ - for (;;) { - if ((res = mp_expt_d (&t1, b, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - if (mp_cmp (&t2, a) == MP_GT) { - if ((res = mp_sub_d (&t1, 1, &t1)) != MP_OKAY) { - goto LBL_T3; - } - } else { - break; - } - } - - /* reset the sign of a first */ - a->sign = neg; - - /* set the result */ - mp_exch (&t1, c); - - /* set the sign of the result */ - c->sign = neg; - - res = MP_OKAY; - -LBL_T3:mp_clear (&t3); -LBL_T2:mp_clear (&t2); -LBL_T1:mp_clear (&t1); - return res; + return mp_n_root_ex(a, b, c, 0); } + #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_n_root_ex.c b/libtommath/bn_mp_n_root_ex.c new file mode 100644 index 0000000..79d1dfb --- /dev/null +++ b/libtommath/bn_mp_n_root_ex.c @@ -0,0 +1,132 @@ +#include +#ifdef BN_MP_N_ROOT_EX_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* find the n'th root of an integer + * + * Result found such that (c)**b <= a and (c+1)**b > a + * + * This algorithm uses Newton's approximation + * x[i+1] = x[i] - f(x[i])/f'(x[i]) + * which will find the root in log(N) time where + * each step involves a fair bit. This is not meant to + * find huge roots [square and cube, etc]. + */ +int mp_n_root_ex (mp_int * a, mp_digit b, mp_int * c, int fast) +{ + mp_int t1, t2, t3; + int res, neg; + + /* input must be positive if b is even */ + if (((b & 1) == 0) && (a->sign == MP_NEG)) { + return MP_VAL; + } + + if ((res = mp_init (&t1)) != MP_OKAY) { + return res; + } + + if ((res = mp_init (&t2)) != MP_OKAY) { + goto LBL_T1; + } + + if ((res = mp_init (&t3)) != MP_OKAY) { + goto LBL_T2; + } + + /* if a is negative fudge the sign but keep track */ + neg = a->sign; + a->sign = MP_ZPOS; + + /* t2 = 2 */ + mp_set (&t2, 2); + + do { + /* t1 = t2 */ + if ((res = mp_copy (&t2, &t1)) != MP_OKAY) { + goto LBL_T3; + } + + /* t2 = t1 - ((t1**b - a) / (b * t1**(b-1))) */ + + /* t3 = t1**(b-1) */ + if ((res = mp_expt_d_ex (&t1, b - 1, &t3, fast)) != MP_OKAY) { + goto LBL_T3; + } + + /* numerator */ + /* t2 = t1**b */ + if ((res = mp_mul (&t3, &t1, &t2)) != MP_OKAY) { + goto LBL_T3; + } + + /* t2 = t1**b - a */ + if ((res = mp_sub (&t2, a, &t2)) != MP_OKAY) { + goto LBL_T3; + } + + /* denominator */ + /* t3 = t1**(b-1) * b */ + if ((res = mp_mul_d (&t3, b, &t3)) != MP_OKAY) { + goto LBL_T3; + } + + /* t3 = (t1**b - a)/(b * t1**(b-1)) */ + if ((res = mp_div (&t2, &t3, &t3, NULL)) != MP_OKAY) { + goto LBL_T3; + } + + if ((res = mp_sub (&t1, &t3, &t2)) != MP_OKAY) { + goto LBL_T3; + } + } while (mp_cmp (&t1, &t2) != MP_EQ); + + /* result can be off by a few so check */ + for (;;) { + if ((res = mp_expt_d_ex (&t1, b, &t2, fast)) != MP_OKAY) { + goto LBL_T3; + } + + if (mp_cmp (&t2, a) == MP_GT) { + if ((res = mp_sub_d (&t1, 1, &t1)) != MP_OKAY) { + goto LBL_T3; + } + } else { + break; + } + } + + /* reset the sign of a first */ + a->sign = neg; + + /* set the result */ + mp_exch (&t1, c); + + /* set the sign of the result */ + c->sign = neg; + + res = MP_OKAY; + +LBL_T3:mp_clear (&t3); +LBL_T2:mp_clear (&t2); +LBL_T1:mp_clear (&t1); + return res; +} +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_neg.c b/libtommath/bn_mp_neg.c index 0e868ce..ea32e46 100644 --- a/libtommath/bn_mp_neg.c +++ b/libtommath/bn_mp_neg.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_NEG_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* b = -a */ @@ -36,5 +36,5 @@ int mp_neg (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_or.c b/libtommath/bn_mp_or.c index 5c2761a..b7f2e4f 100644 --- a/libtommath/bn_mp_or.c +++ b/libtommath/bn_mp_or.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_OR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* OR two ints together */ @@ -46,5 +46,5 @@ int mp_or (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_fermat.c b/libtommath/bn_mp_prime_fermat.c index fe10ab2..9dc9e85 100644 --- a/libtommath/bn_mp_prime_fermat.c +++ b/libtommath/bn_mp_prime_fermat.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_FERMAT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* performs one Fermat test. @@ -58,5 +58,5 @@ LBL_T:mp_clear (&t); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_is_divisible.c b/libtommath/bn_mp_prime_is_divisible.c index 2b217ae..5854f08 100644 --- a/libtommath/bn_mp_prime_is_divisible.c +++ b/libtommath/bn_mp_prime_is_divisible.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_IS_DIVISIBLE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines if an integers is divisible by one @@ -46,5 +46,5 @@ int mp_prime_is_divisible (mp_int * a, int *result) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_is_prime.c b/libtommath/bn_mp_prime_is_prime.c index 09908df..be5ebe4 100644 --- a/libtommath/bn_mp_prime_is_prime.c +++ b/libtommath/bn_mp_prime_is_prime.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_IS_PRIME_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* performs a variable number of rounds of Miller-Rabin @@ -31,7 +31,7 @@ int mp_prime_is_prime (mp_int * a, int t, int *result) *result = MP_NO; /* valid value of t? */ - if (t <= 0 || t > PRIME_SIZE) { + if ((t <= 0) || (t > PRIME_SIZE)) { return MP_VAL; } @@ -79,5 +79,5 @@ LBL_B:mp_clear (&b); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_miller_rabin.c b/libtommath/bn_mp_prime_miller_rabin.c index fe88d94..7b5c8d2 100644 --- a/libtommath/bn_mp_prime_miller_rabin.c +++ b/libtommath/bn_mp_prime_miller_rabin.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_MILLER_RABIN_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* Miller-Rabin test of "a" to the base of "b" as described in @@ -67,10 +67,10 @@ int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result) } /* if y != 1 and y != n1 do */ - if (mp_cmp_d (&y, 1) != MP_EQ && mp_cmp (&y, &n1) != MP_EQ) { + if ((mp_cmp_d (&y, 1) != MP_EQ) && (mp_cmp (&y, &n1) != MP_EQ)) { j = 1; /* while j <= s-1 and y != n1 */ - while ((j <= (s - 1)) && mp_cmp (&y, &n1) != MP_EQ) { + while ((j <= (s - 1)) && (mp_cmp (&y, &n1) != MP_EQ)) { if ((err = mp_sqrmod (&y, a, &y)) != MP_OKAY) { goto LBL_Y; } @@ -99,5 +99,5 @@ LBL_N1:mp_clear (&n1); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_next_prime.c b/libtommath/bn_mp_prime_next_prime.c index 37a03c6..9951dc3 100644 --- a/libtommath/bn_mp_prime_next_prime.c +++ b/libtommath/bn_mp_prime_next_prime.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_NEXT_PRIME_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* finds the next prime after the number "a" using "t" trials @@ -22,12 +22,12 @@ */ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) { - int err, res, x, y; + int err, res = MP_NO, x, y; mp_digit res_tab[PRIME_SIZE], step, kstep; mp_int b; /* ensure t is valid */ - if (t <= 0 || t > PRIME_SIZE) { + if ((t <= 0) || (t > PRIME_SIZE)) { return MP_VAL; } @@ -84,7 +84,7 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) if ((err = mp_sub_d(a, (a->dp[0] & 3) + 1, a)) != MP_OKAY) { return err; }; } } else { - if (mp_iseven(a) == 1) { + if (mp_iseven(a) == MP_YES) { /* force odd */ if ((err = mp_sub_d(a, 1, a)) != MP_OKAY) { return err; @@ -129,7 +129,7 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style) y = 1; } } - } while (y == 1 && step < ((((mp_digit)1)<= ((((mp_digit)1)<= ((((mp_digit)1) << DIGIT_BIT) - kstep))) { continue; } @@ -166,5 +166,5 @@ LBL_ERR: #endif /* $Source$ */ -/* $Revision: v0.42.0 $ */ -/* $Date: 2010-07-15 13:49:00 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_rabin_miller_trials.c b/libtommath/bn_mp_prime_rabin_miller_trials.c index b4fc323..bca4229 100644 --- a/libtommath/bn_mp_prime_rabin_miller_trials.c +++ b/libtommath/bn_mp_prime_rabin_miller_trials.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_RABIN_MILLER_TRIALS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ @@ -48,5 +48,5 @@ int mp_prime_rabin_miller_trials(int size) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_prime_random_ex.c b/libtommath/bn_mp_prime_random_ex.c index 16d2aae..1efc4fc 100644 --- a/libtommath/bn_mp_prime_random_ex.c +++ b/libtommath/bn_mp_prime_random_ex.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_PRIME_RANDOM_EX_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* makes a truly random prime of a given size (bits), @@ -21,7 +21,6 @@ * * LTM_PRIME_BBS - make prime congruent to 3 mod 4 * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS) - * LTM_PRIME_2MSB_OFF - make the 2nd highest bit zero * LTM_PRIME_2MSB_ON - make the 2nd highest bit one * * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can @@ -37,12 +36,12 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback int res, err, bsize, maskOR_msb_offset; /* sanity check the input */ - if (size <= 1 || t <= 0) { + if ((size <= 1) || (t <= 0)) { return MP_VAL; } /* LTM_PRIME_SAFE implies LTM_PRIME_BBS */ - if (flags & LTM_PRIME_SAFE) { + if ((flags & LTM_PRIME_SAFE) != 0) { flags |= LTM_PRIME_BBS; } @@ -61,13 +60,13 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback /* calc the maskOR_msb */ maskOR_msb = 0; maskOR_msb_offset = ((size & 7) == 1) ? 1 : 0; - if (flags & LTM_PRIME_2MSB_ON) { + if ((flags & LTM_PRIME_2MSB_ON) != 0) { maskOR_msb |= 0x80 >> ((9 - size) & 7); } /* get the maskOR_lsb */ maskOR_lsb = 1; - if (flags & LTM_PRIME_BBS) { + if ((flags & LTM_PRIME_BBS) != 0) { maskOR_lsb |= 3; } @@ -95,7 +94,7 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback continue; } - if (flags & LTM_PRIME_SAFE) { + if ((flags & LTM_PRIME_SAFE) != 0) { /* see if (a-1)/2 is prime */ if ((err = mp_sub_d(a, 1, a)) != MP_OKAY) { goto error; } if ((err = mp_div_2(a, a)) != MP_OKAY) { goto error; } @@ -105,7 +104,7 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback } } while (res == MP_NO); - if (flags & LTM_PRIME_SAFE) { + if ((flags & LTM_PRIME_SAFE) != 0) { /* restore a to the original value */ if ((err = mp_mul_2(a, a)) != MP_OKAY) { goto error; } if ((err = mp_add_d(a, 1, a)) != MP_OKAY) { goto error; } @@ -121,5 +120,5 @@ error: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_radix_size.c b/libtommath/bn_mp_radix_size.c index 9d95c48..e5d7772 100644 --- a/libtommath/bn_mp_radix_size.c +++ b/libtommath/bn_mp_radix_size.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_RADIX_SIZE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* returns size of ASCII reprensentation */ @@ -24,14 +24,8 @@ int mp_radix_size (mp_int * a, int radix, int *size) *size = 0; - /* special case for binary */ - if (radix == 2) { - *size = mp_count_bits (a) + (a->sign == MP_NEG ? 1 : 0) + 1; - return MP_OKAY; - } - /* make sure the radix is in range */ - if (radix < 2 || radix > 64) { + if ((radix < 2) || (radix > 64)) { return MP_VAL; } @@ -40,6 +34,12 @@ int mp_radix_size (mp_int * a, int radix, int *size) return MP_OKAY; } + /* special case for binary */ + if (radix == 2) { + *size = mp_count_bits (a) + ((a->sign == MP_NEG) ? 1 : 0) + 1; + return MP_OKAY; + } + /* digs is the digit count */ digs = 0; @@ -74,5 +74,5 @@ int mp_radix_size (mp_int * a, int radix, int *size) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_radix_smap.c b/libtommath/bn_mp_radix_smap.c index b3abd3e..d1c75ad 100644 --- a/libtommath/bn_mp_radix_smap.c +++ b/libtommath/bn_mp_radix_smap.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_RADIX_SMAP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* chars used in radix conversions */ @@ -20,5 +20,5 @@ const char *mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrs #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_rand.c b/libtommath/bn_mp_rand.c index 96e4e46..4c9610d 100644 --- a/libtommath/bn_mp_rand.c +++ b/libtommath/bn_mp_rand.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_RAND_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* makes a pseudo-random int of a given size */ @@ -29,7 +29,7 @@ mp_rand (mp_int * a, int digits) /* first place a random non-zero digit */ do { - d = ((mp_digit) abs (rand ())) & MP_MASK; + d = ((mp_digit) abs (MP_GEN_RANDOM())) & MP_MASK; } while (d == 0); if ((res = mp_add_d (a, d, a)) != MP_OKAY) { @@ -41,7 +41,7 @@ mp_rand (mp_int * a, int digits) return res; } - if ((res = mp_add_d (a, ((mp_digit) abs (rand ())), a)) != MP_OKAY) { + if ((res = mp_add_d (a, ((mp_digit) abs (MP_GEN_RANDOM())), a)) != MP_OKAY) { return res; } } @@ -51,5 +51,5 @@ mp_rand (mp_int * a, int digits) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_read_radix.c b/libtommath/bn_mp_read_radix.c index 8ce103f..5c9eb5e 100644 --- a/libtommath/bn_mp_read_radix.c +++ b/libtommath/bn_mp_read_radix.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_READ_RADIX_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* read a string [ASCII] in a given radix */ @@ -25,7 +25,7 @@ int mp_read_radix (mp_int * a, const char *str, int radix) mp_zero(a); /* make sure the radix is ok */ - if (radix < 2 || radix > 64) { + if ((radix < 2) || (radix > 64)) { return MP_VAL; } @@ -43,12 +43,12 @@ int mp_read_radix (mp_int * a, const char *str, int radix) mp_zero (a); /* process each digit of the string */ - while (*str) { - /* if the radix < 36 the conversion is case insensitive + while (*str != '\0') { + /* if the radix <= 36 the conversion is case insensitive * this allows numbers like 1AB and 1ab to represent the same value * [e.g. in hex] */ - ch = (char) ((radix < 36) ? toupper (*str) : *str); + ch = (radix <= 36) ? (char)toupper((int)*str) : *str; for (y = 0; y < 64; y++) { if (ch == mp_s_rmap[y]) { break; @@ -73,7 +73,7 @@ int mp_read_radix (mp_int * a, const char *str, int radix) } /* set the sign only if a != 0 */ - if (mp_iszero(a) != 1) { + if (mp_iszero(a) != MP_YES) { a->sign = neg; } return MP_OKAY; @@ -81,5 +81,5 @@ int mp_read_radix (mp_int * a, const char *str, int radix) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_read_signed_bin.c b/libtommath/bn_mp_read_signed_bin.c index 92924e8..a4d4760 100644 --- a/libtommath/bn_mp_read_signed_bin.c +++ b/libtommath/bn_mp_read_signed_bin.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_READ_SIGNED_BIN_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* read signed bin, big endian, first byte is 0==positive or 1==negative */ @@ -37,5 +37,5 @@ int mp_read_signed_bin (mp_int * a, const unsigned char *b, int c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_read_unsigned_bin.c b/libtommath/bn_mp_read_unsigned_bin.c index 5a7fa91..e8e5df8 100644 --- a/libtommath/bn_mp_read_unsigned_bin.c +++ b/libtommath/bn_mp_read_unsigned_bin.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_READ_UNSIGNED_BIN_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* reads a unsigned char array, assumes the msb is stored first [big endian] */ @@ -37,12 +37,12 @@ int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) } #ifndef MP_8BIT - a->dp[0] |= *b++; - a->used += 1; + a->dp[0] |= *b++; + a->used += 1; #else - a->dp[0] = (*b & MP_MASK); - a->dp[1] |= ((*b++ >> 7U) & 1); - a->used += 2; + a->dp[0] = (*b & MP_MASK); + a->dp[1] |= ((*b++ >> 7U) & 1); + a->used += 2; #endif } mp_clamp (a); @@ -51,5 +51,5 @@ int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce.c b/libtommath/bn_mp_reduce.c index 50e1eaa..e2c3a58 100644 --- a/libtommath/bn_mp_reduce.c +++ b/libtommath/bn_mp_reduce.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,10 +12,10 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* reduces x mod m, assumes 0 < x < m**2, mu is +/* reduces x mod m, assumes 0 < x < m**2, mu is * precomputed via mp_reduce_setup. * From HAC pp.604 Algorithm 14.42 */ @@ -30,10 +30,10 @@ int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) } /* q1 = x / b**(k-1) */ - mp_rshd (&q, um - 1); + mp_rshd (&q, um - 1); /* according to HAC this optimization is ok */ - if (((unsigned long) um) > (((mp_digit)1) << (DIGIT_BIT - 1))) { + if (((mp_digit) um) > (((mp_digit)1) << (DIGIT_BIT - 1))) { if ((res = mp_mul (&q, mu, &q)) != MP_OKAY) { goto CLEANUP; } @@ -46,8 +46,8 @@ int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) if ((res = fast_s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) { goto CLEANUP; } -#else - { +#else + { res = MP_VAL; goto CLEANUP; } @@ -55,7 +55,7 @@ int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) } /* q3 = q2 / b**(k+1) */ - mp_rshd (&q, um + 1); + mp_rshd (&q, um + 1); /* x = x mod b**(k+1), quick (no division) */ if ((res = mp_mod_2d (x, DIGIT_BIT * (um + 1), x)) != MP_OKAY) { @@ -87,7 +87,7 @@ int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) goto CLEANUP; } } - + CLEANUP: mp_clear (&q); @@ -96,5 +96,5 @@ CLEANUP: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_2k.c b/libtommath/bn_mp_reduce_2k.c index 6bbc5f1..2876a75 100644 --- a/libtommath/bn_mp_reduce_2k.c +++ b/libtommath/bn_mp_reduce_2k.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_2K_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* reduces a modulo n where n is of the form 2**p - d */ @@ -20,35 +20,37 @@ int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d) { mp_int q; int p, res; - + if ((res = mp_init(&q)) != MP_OKAY) { return res; } - - p = mp_count_bits(n); + + p = mp_count_bits(n); top: /* q = a/2**p, a = a mod 2**p */ if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { goto ERR; } - + if (d != 1) { /* q = q * d */ - if ((res = mp_mul_d(&q, d, &q)) != MP_OKAY) { + if ((res = mp_mul_d(&q, d, &q)) != MP_OKAY) { goto ERR; } } - + /* a = a + q */ if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { goto ERR; } - + if (mp_cmp_mag(a, n) != MP_LT) { - s_mp_sub(a, n, a); + if ((res = s_mp_sub(a, n, a)) != MP_OKAY) { + goto ERR; + } goto top; } - + ERR: mp_clear(&q); return res; @@ -57,5 +59,5 @@ ERR: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_2k_l.c b/libtommath/bn_mp_reduce_2k_l.c index 067122a..3225214 100644 --- a/libtommath/bn_mp_reduce_2k_l.c +++ b/libtommath/bn_mp_reduce_2k_l.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_2K_L_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,10 +12,10 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* reduces a modulo n where n is of the form 2**p - d +/* reduces a modulo n where n is of the form 2**p - d This differs from reduce_2k since "d" can be larger than a single digit. */ @@ -23,33 +23,35 @@ int mp_reduce_2k_l(mp_int *a, mp_int *n, mp_int *d) { mp_int q; int p, res; - + if ((res = mp_init(&q)) != MP_OKAY) { return res; } - - p = mp_count_bits(n); + + p = mp_count_bits(n); top: /* q = a/2**p, a = a mod 2**p */ if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { goto ERR; } - + /* q = q * d */ - if ((res = mp_mul(&q, d, &q)) != MP_OKAY) { + if ((res = mp_mul(&q, d, &q)) != MP_OKAY) { goto ERR; } - + /* a = a + q */ if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { goto ERR; } - + if (mp_cmp_mag(a, n) != MP_LT) { - s_mp_sub(a, n, a); + if ((res = s_mp_sub(a, n, a)) != MP_OKAY) { + goto ERR; + } goto top; } - + ERR: mp_clear(&q); return res; @@ -58,5 +60,5 @@ ERR: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_2k_setup.c b/libtommath/bn_mp_reduce_2k_setup.c index 3f9ffd9..545051e 100644 --- a/libtommath/bn_mp_reduce_2k_setup.c +++ b/libtommath/bn_mp_reduce_2k_setup.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_2K_SETUP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines the setup value */ @@ -43,5 +43,5 @@ int mp_reduce_2k_setup(mp_int *a, mp_digit *d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_2k_setup_l.c b/libtommath/bn_mp_reduce_2k_setup_l.c index 686368e..59132dd 100644 --- a/libtommath/bn_mp_reduce_2k_setup_l.c +++ b/libtommath/bn_mp_reduce_2k_setup_l.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_2K_SETUP_L_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines the setup value */ @@ -40,5 +40,5 @@ ERR: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_is_2k.c b/libtommath/bn_mp_reduce_is_2k.c index 08b62ff..784947b 100644 --- a/libtommath/bn_mp_reduce_is_2k.c +++ b/libtommath/bn_mp_reduce_is_2k.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_IS_2K_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines if mp_reduce_2k can be used */ @@ -48,5 +48,5 @@ int mp_reduce_is_2k(mp_int *a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_is_2k_l.c b/libtommath/bn_mp_reduce_is_2k_l.c index a72e39c..c193f39 100644 --- a/libtommath/bn_mp_reduce_is_2k_l.c +++ b/libtommath/bn_mp_reduce_is_2k_l.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_IS_2K_L_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* determines if reduce_2k_l can be used */ @@ -40,5 +40,5 @@ int mp_reduce_is_2k_l(mp_int *a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_reduce_setup.c b/libtommath/bn_mp_reduce_setup.c index f017386..f97eed5 100644 --- a/libtommath/bn_mp_reduce_setup.c +++ b/libtommath/bn_mp_reduce_setup.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_REDUCE_SETUP_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* pre-calculate the value required for Barrett reduction @@ -30,5 +30,5 @@ int mp_reduce_setup (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_rshd.c b/libtommath/bn_mp_rshd.c index bb506e9..77b0f6c 100644 --- a/libtommath/bn_mp_rshd.c +++ b/libtommath/bn_mp_rshd.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_RSHD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* shift right a certain amount of digits */ @@ -32,7 +32,7 @@ void mp_rshd (mp_int * a, int b) } { - register mp_digit *bottom, *top; + mp_digit *bottom, *top; /* shift the digits down */ @@ -68,5 +68,5 @@ void mp_rshd (mp_int * a, int b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_set.c b/libtommath/bn_mp_set.c index 412673a..cac48ea 100644 --- a/libtommath/bn_mp_set.c +++ b/libtommath/bn_mp_set.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SET_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* set to a digit */ @@ -25,5 +25,5 @@ void mp_set (mp_int * a, mp_digit b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_set_int.c b/libtommath/bn_mp_set_int.c index 17cfe89..5aa59d5 100644 --- a/libtommath/bn_mp_set_int.c +++ b/libtommath/bn_mp_set_int.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SET_INT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* set a 32-bit const */ @@ -44,5 +44,5 @@ int mp_set_int (mp_int * a, unsigned long b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_set_long.c b/libtommath/bn_mp_set_long.c new file mode 100644 index 0000000..281fce7 --- /dev/null +++ b/libtommath/bn_mp_set_long.c @@ -0,0 +1,24 @@ +#include +#ifdef BN_MP_SET_LONG_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* set a platform dependent unsigned long int */ +MP_SET_XLONG(mp_set_long, unsigned long) +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_set_long_long.c b/libtommath/bn_mp_set_long_long.c new file mode 100644 index 0000000..3c4b01a --- /dev/null +++ b/libtommath/bn_mp_set_long_long.c @@ -0,0 +1,24 @@ +#include +#ifdef BN_MP_SET_LONG_LONG_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org + */ + +/* set a platform dependent unsigned long long int */ +MP_SET_XLONG(mp_set_long_long, unsigned long long) +#endif + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_shrink.c b/libtommath/bn_mp_shrink.c index 2bee381..1ad2ede 100644 --- a/libtommath/bn_mp_shrink.c +++ b/libtommath/bn_mp_shrink.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SHRINK_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* shrink a bignum */ @@ -21,8 +21,9 @@ int mp_shrink (mp_int * a) mp_digit *tmp; int used = 1; - if(a->used > 0) + if(a->used > 0) { used = a->used; + } if (a->alloc != used) { if ((tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * used)) == NULL) { @@ -36,5 +37,5 @@ int mp_shrink (mp_int * a) #endif /* $Source$ */ -/* $Revision: v0.42.0 $ */ -/* $Date: 2010-06-02 15:09:36 +0200 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_signed_bin_size.c b/libtommath/bn_mp_signed_bin_size.c index b28d402..0e760a6 100644 --- a/libtommath/bn_mp_signed_bin_size.c +++ b/libtommath/bn_mp_signed_bin_size.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SIGNED_BIN_SIZE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* get the size for an signed equivalent */ @@ -23,5 +23,5 @@ int mp_signed_bin_size (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_sqr.c b/libtommath/bn_mp_sqr.c index b085668..ad2099b 100644 --- a/libtommath/bn_mp_sqr.c +++ b/libtommath/bn_mp_sqr.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SQR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* computes b = a*a */ @@ -29,24 +29,26 @@ mp_sqr (mp_int * a, mp_int * b) } else #endif #ifdef BN_MP_KARATSUBA_SQR_C -if (a->used >= KARATSUBA_SQR_CUTOFF) { + if (a->used >= KARATSUBA_SQR_CUTOFF) { res = mp_karatsuba_sqr (a, b); } else #endif { #ifdef BN_FAST_S_MP_SQR_C /* can we use the fast comba multiplier? */ - if ((a->used * 2 + 1) < MP_WARRAY && - a->used < - (1 << (sizeof(mp_word) * CHAR_BIT - 2*DIGIT_BIT - 1))) { + if ((((a->used * 2) + 1) < MP_WARRAY) && + (a->used < + (1 << (((sizeof(mp_word) * CHAR_BIT) - (2 * DIGIT_BIT)) - 1)))) { res = fast_s_mp_sqr (a, b); } else #endif + { #ifdef BN_S_MP_SQR_C res = s_mp_sqr (a, b); #else res = MP_VAL; #endif + } } b->sign = MP_ZPOS; return res; @@ -54,5 +56,5 @@ if (a->used >= KARATSUBA_SQR_CUTOFF) { #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_sqrmod.c b/libtommath/bn_mp_sqrmod.c index 369028b..2f9463d 100644 --- a/libtommath/bn_mp_sqrmod.c +++ b/libtommath/bn_mp_sqrmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SQRMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* c = a * a (mod b) */ @@ -37,5 +37,5 @@ mp_sqrmod (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_sqrt.c b/libtommath/bn_mp_sqrt.c index 983e41c..4a52f5e 100644 --- a/libtommath/bn_mp_sqrt.c +++ b/libtommath/bn_mp_sqrt.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SQRT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* this function is less generic than mp_n_root, simpler and faster */ @@ -77,5 +77,5 @@ E2: mp_clear(&t1); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_sqrtmod_prime.c b/libtommath/bn_mp_sqrtmod_prime.c new file mode 100644 index 0000000..968729e --- /dev/null +++ b/libtommath/bn_mp_sqrtmod_prime.c @@ -0,0 +1,124 @@ +#include +#ifdef BN_MP_SQRTMOD_PRIME_C +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library is free for all purposes without any express + * guarantee it works. + */ + +/* Tonelli-Shanks algorithm + * https://en.wikipedia.org/wiki/Tonelli%E2%80%93Shanks_algorithm + * https://gmplib.org/list-archives/gmp-discuss/2013-April/005300.html + * + */ + +int mp_sqrtmod_prime(mp_int *n, mp_int *prime, mp_int *ret) +{ + int res, legendre; + mp_int t1, C, Q, S, Z, M, T, R, two; + mp_digit i; + + /* first handle the simple cases */ + if (mp_cmp_d(n, 0) == MP_EQ) { + mp_zero(ret); + return MP_OKAY; + } + if (mp_cmp_d(prime, 2) == MP_EQ) return MP_VAL; /* prime must be odd */ + if ((res = mp_jacobi(n, prime, &legendre)) != MP_OKAY) return res; + if (legendre == -1) return MP_VAL; /* quadratic non-residue mod prime */ + + if ((res = mp_init_multi(&t1, &C, &Q, &S, &Z, &M, &T, &R, &two, NULL)) != MP_OKAY) { + return res; + } + + /* SPECIAL CASE: if prime mod 4 == 3 + * compute directly: res = n^(prime+1)/4 mod prime + * Handbook of Applied Cryptography algorithm 3.36 + */ + if ((res = mp_mod_d(prime, 4, &i)) != MP_OKAY) goto cleanup; + if (i == 3) { + if ((res = mp_add_d(prime, 1, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_exptmod(n, &t1, prime, ret)) != MP_OKAY) goto cleanup; + res = MP_OKAY; + goto cleanup; + } + + /* NOW: Tonelli-Shanks algorithm */ + + /* factor out powers of 2 from prime-1, defining Q and S as: prime-1 = Q*2^S */ + if ((res = mp_copy(prime, &Q)) != MP_OKAY) goto cleanup; + if ((res = mp_sub_d(&Q, 1, &Q)) != MP_OKAY) goto cleanup; + /* Q = prime - 1 */ + mp_zero(&S); + /* S = 0 */ + while (mp_iseven(&Q) != MP_NO) { + if ((res = mp_div_2(&Q, &Q)) != MP_OKAY) goto cleanup; + /* Q = Q / 2 */ + if ((res = mp_add_d(&S, 1, &S)) != MP_OKAY) goto cleanup; + /* S = S + 1 */ + } + + /* find a Z such that the Legendre symbol (Z|prime) == -1 */ + if ((res = mp_set_int(&Z, 2)) != MP_OKAY) goto cleanup; + /* Z = 2 */ + while(1) { + if ((res = mp_jacobi(&Z, prime, &legendre)) != MP_OKAY) goto cleanup; + if (legendre == -1) break; + if ((res = mp_add_d(&Z, 1, &Z)) != MP_OKAY) goto cleanup; + /* Z = Z + 1 */ + } + + if ((res = mp_exptmod(&Z, &Q, prime, &C)) != MP_OKAY) goto cleanup; + /* C = Z ^ Q mod prime */ + if ((res = mp_add_d(&Q, 1, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; + /* t1 = (Q + 1) / 2 */ + if ((res = mp_exptmod(n, &t1, prime, &R)) != MP_OKAY) goto cleanup; + /* R = n ^ ((Q + 1) / 2) mod prime */ + if ((res = mp_exptmod(n, &Q, prime, &T)) != MP_OKAY) goto cleanup; + /* T = n ^ Q mod prime */ + if ((res = mp_copy(&S, &M)) != MP_OKAY) goto cleanup; + /* M = S */ + if ((res = mp_set_int(&two, 2)) != MP_OKAY) goto cleanup; + + res = MP_VAL; + while (1) { + if ((res = mp_copy(&T, &t1)) != MP_OKAY) goto cleanup; + i = 0; + while (1) { + if (mp_cmp_d(&t1, 1) == MP_EQ) break; + if ((res = mp_exptmod(&t1, &two, prime, &t1)) != MP_OKAY) goto cleanup; + i++; + } + if (i == 0) { + if ((res = mp_copy(&R, ret)) != MP_OKAY) goto cleanup; + res = MP_OKAY; + goto cleanup; + } + if ((res = mp_sub_d(&M, i, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_sub_d(&t1, 1, &t1)) != MP_OKAY) goto cleanup; + if ((res = mp_exptmod(&two, &t1, prime, &t1)) != MP_OKAY) goto cleanup; + /* t1 = 2 ^ (M - i - 1) */ + if ((res = mp_exptmod(&C, &t1, prime, &t1)) != MP_OKAY) goto cleanup; + /* t1 = C ^ (2 ^ (M - i - 1)) mod prime */ + if ((res = mp_sqrmod(&t1, prime, &C)) != MP_OKAY) goto cleanup; + /* C = (t1 * t1) mod prime */ + if ((res = mp_mulmod(&R, &t1, prime, &R)) != MP_OKAY) goto cleanup; + /* R = (R * t1) mod prime */ + if ((res = mp_mulmod(&T, &C, prime, &T)) != MP_OKAY) goto cleanup; + /* T = (T * C) mod prime */ + mp_set(&M, i); + /* M = i */ + } + +cleanup: + mp_clear_multi(&t1, &C, &Q, &S, &Z, &M, &T, &R, &two, NULL); + return res; +} + +#endif diff --git a/libtommath/bn_mp_sub.c b/libtommath/bn_mp_sub.c index 3c8e5d4..0d616c2 100644 --- a/libtommath/bn_mp_sub.c +++ b/libtommath/bn_mp_sub.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SUB_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* high level subtraction (handles signs) */ @@ -55,5 +55,5 @@ mp_sub (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_sub_d.c b/libtommath/bn_mp_sub_d.c index 13b49bc..f5a932f 100644 --- a/libtommath/bn_mp_sub_d.c +++ b/libtommath/bn_mp_sub_d.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SUB_D_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* single digit subtraction */ @@ -23,7 +23,7 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) int res, ix, oldused; /* grow c as required */ - if (c->alloc < a->used + 1) { + if (c->alloc < (a->used + 1)) { if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) { return res; } @@ -49,7 +49,7 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) tmpc = c->dp; /* if a <= b simply fix the single digit */ - if ((a->used == 1 && a->dp[0] <= b) || a->used == 0) { + if (((a->used == 1) && (a->dp[0] <= b)) || (a->used == 0)) { if (a->used == 1) { *tmpc++ = b - *tmpa; } else { @@ -67,13 +67,13 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) /* subtract first digit */ *tmpc = *tmpa++ - b; - mu = *tmpc >> (sizeof(mp_digit) * CHAR_BIT - 1); + mu = *tmpc >> ((sizeof(mp_digit) * CHAR_BIT) - 1); *tmpc++ &= MP_MASK; /* handle rest of the digits */ for (ix = 1; ix < a->used; ix++) { *tmpc = *tmpa++ - mu; - mu = *tmpc >> (sizeof(mp_digit) * CHAR_BIT - 1); + mu = *tmpc >> ((sizeof(mp_digit) * CHAR_BIT) - 1); *tmpc++ &= MP_MASK; } } @@ -89,5 +89,5 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_submod.c b/libtommath/bn_mp_submod.c index d919c17..87e0889 100644 --- a/libtommath/bn_mp_submod.c +++ b/libtommath/bn_mp_submod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_SUBMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* d = a - b (mod c) */ @@ -38,5 +38,5 @@ mp_submod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_to_signed_bin.c b/libtommath/bn_mp_to_signed_bin.c index dda9285..e9289ea 100644 --- a/libtommath/bn_mp_to_signed_bin.c +++ b/libtommath/bn_mp_to_signed_bin.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TO_SIGNED_BIN_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* store in signed [big endian] format */ @@ -23,11 +23,11 @@ int mp_to_signed_bin (mp_int * a, unsigned char *b) if ((res = mp_to_unsigned_bin (a, b + 1)) != MP_OKAY) { return res; } - b[0] = (unsigned char) ((a->sign == MP_ZPOS) ? 0 : 1); + b[0] = (a->sign == MP_ZPOS) ? (unsigned char)0 : (unsigned char)1; return MP_OKAY; } #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_to_signed_bin_n.c b/libtommath/bn_mp_to_signed_bin_n.c index 9e3b011..d4fe6e6 100644 --- a/libtommath/bn_mp_to_signed_bin_n.c +++ b/libtommath/bn_mp_to_signed_bin_n.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TO_SIGNED_BIN_N_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* store in signed [big endian] format */ @@ -27,5 +27,5 @@ int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_to_unsigned_bin.c b/libtommath/bn_mp_to_unsigned_bin.c index 76072a9..d3ef46f 100644 --- a/libtommath/bn_mp_to_unsigned_bin.c +++ b/libtommath/bn_mp_to_unsigned_bin.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TO_UNSIGNED_BIN_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* store in unsigned [big endian] format */ @@ -26,7 +26,7 @@ int mp_to_unsigned_bin (mp_int * a, unsigned char *b) } x = 0; - while (mp_iszero (&t) == 0) { + while (mp_iszero (&t) == MP_NO) { #ifndef MP_8BIT b[x++] = (unsigned char) (t.dp[0] & 255); #else @@ -44,5 +44,5 @@ int mp_to_unsigned_bin (mp_int * a, unsigned char *b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_to_unsigned_bin_n.c b/libtommath/bn_mp_to_unsigned_bin_n.c index 51028d8..2da13cc 100644 --- a/libtommath/bn_mp_to_unsigned_bin_n.c +++ b/libtommath/bn_mp_to_unsigned_bin_n.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TO_UNSIGNED_BIN_N_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* store in unsigned [big endian] format */ @@ -27,5 +27,5 @@ int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_toom_mul.c b/libtommath/bn_mp_toom_mul.c index e0fd772..4731f8f 100644 --- a/libtommath/bn_mp_toom_mul.c +++ b/libtommath/bn_mp_toom_mul.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TOOM_MUL_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,31 +12,31 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ -/* multiplication using the Toom-Cook 3-way algorithm +/* multiplication using the Toom-Cook 3-way algorithm * - * Much more complicated than Karatsuba but has a lower - * asymptotic running time of O(N**1.464). This algorithm is - * only particularly useful on VERY large inputs + * Much more complicated than Karatsuba but has a lower + * asymptotic running time of O(N**1.464). This algorithm is + * only particularly useful on VERY large inputs * (we're talking 1000s of digits here...). */ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) { mp_int w0, w1, w2, w3, w4, tmp1, tmp2, a0, a1, a2, b0, b1, b2; int res, B; - + /* init temps */ - if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, - &a0, &a1, &a2, &b0, &b1, + if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, + &a0, &a1, &a2, &b0, &b1, &b2, &tmp1, &tmp2, NULL)) != MP_OKAY) { return res; } - + /* B */ B = MIN(a->used, b->used) / 3; - + /* a = a2 * B**2 + a1 * B + a0 */ if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) { goto ERR; @@ -46,13 +46,15 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) goto ERR; } mp_rshd(&a1, B); - mp_mod_2d(&a1, DIGIT_BIT * B, &a1); + if ((res = mp_mod_2d(&a1, DIGIT_BIT * B, &a1)) != MP_OKAY) { + goto ERR; + } if ((res = mp_copy(a, &a2)) != MP_OKAY) { goto ERR; } mp_rshd(&a2, B*2); - + /* b = b2 * B**2 + b1 * B + b0 */ if ((res = mp_mod_2d(b, DIGIT_BIT * B, &b0)) != MP_OKAY) { goto ERR; @@ -62,23 +64,23 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) goto ERR; } mp_rshd(&b1, B); - mp_mod_2d(&b1, DIGIT_BIT * B, &b1); + (void)mp_mod_2d(&b1, DIGIT_BIT * B, &b1); if ((res = mp_copy(b, &b2)) != MP_OKAY) { goto ERR; } mp_rshd(&b2, B*2); - + /* w0 = a0*b0 */ if ((res = mp_mul(&a0, &b0, &w0)) != MP_OKAY) { goto ERR; } - + /* w4 = a2 * b2 */ if ((res = mp_mul(&a2, &b2, &w4)) != MP_OKAY) { goto ERR; } - + /* w1 = (a2 + 2(a1 + 2a0))(b2 + 2(b1 + 2b0)) */ if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) { goto ERR; @@ -92,7 +94,7 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) { goto ERR; } - + if ((res = mp_mul_2(&b0, &tmp2)) != MP_OKAY) { goto ERR; } @@ -105,11 +107,11 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_add(&tmp2, &b2, &tmp2)) != MP_OKAY) { goto ERR; } - + if ((res = mp_mul(&tmp1, &tmp2, &w1)) != MP_OKAY) { goto ERR; } - + /* w3 = (a0 + 2(a1 + 2a2))(b0 + 2(b1 + 2b2)) */ if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) { goto ERR; @@ -123,7 +125,7 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { goto ERR; } - + if ((res = mp_mul_2(&b2, &tmp2)) != MP_OKAY) { goto ERR; } @@ -136,11 +138,11 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) { goto ERR; } - + if ((res = mp_mul(&tmp1, &tmp2, &w3)) != MP_OKAY) { goto ERR; } - + /* w2 = (a2 + a1 + a0)(b2 + b1 + b0) */ if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) { @@ -158,127 +160,127 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_mul(&tmp1, &tmp2, &w2)) != MP_OKAY) { goto ERR; } - - /* now solve the matrix - + + /* now solve the matrix + 0 0 0 0 1 1 2 4 8 16 1 1 1 1 1 16 8 4 2 1 1 0 0 0 0 - - using 12 subtractions, 4 shifts, - 2 small divisions and 1 small multiplication + + using 12 subtractions, 4 shifts, + 2 small divisions and 1 small multiplication */ - - /* r1 - r4 */ - if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r0 */ - if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/2 */ - if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3/2 */ - if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { - goto ERR; - } - /* r2 - r0 - r4 */ - if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1 - 8r0 */ - if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - 8r4 */ - if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { - goto ERR; - } - /* 3r2 - r1 - r3 */ - if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/3 */ - if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { - goto ERR; - } - /* r3/3 */ - if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { - goto ERR; - } - - /* at this point shift W[n] by B*n */ - if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_add(&w0, &w1, c)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, c, c)) != MP_OKAY) { - goto ERR; - } - + + /* r1 - r4 */ + if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r0 */ + if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1/2 */ + if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3/2 */ + if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { + goto ERR; + } + /* r2 - r0 - r4 */ + if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { + goto ERR; + } + /* r1 - r2 */ + if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r2 */ + if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1 - 8r0 */ + if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - 8r4 */ + if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { + goto ERR; + } + /* 3r2 - r1 - r3 */ + if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { + goto ERR; + } + /* r1 - r2 */ + if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r2 */ + if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1/3 */ + if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { + goto ERR; + } + /* r3/3 */ + if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { + goto ERR; + } + + /* at this point shift W[n] by B*n */ + if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { + goto ERR; + } + + if ((res = mp_add(&w0, &w1, c)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&tmp1, c, c)) != MP_OKAY) { + goto ERR; + } + ERR: - mp_clear_multi(&w0, &w1, &w2, &w3, &w4, - &a0, &a1, &a2, &b0, &b1, - &b2, &tmp1, &tmp2, NULL); - return res; -} - + mp_clear_multi(&w0, &w1, &w2, &w3, &w4, + &a0, &a1, &a2, &b0, &b1, + &b2, &tmp1, &tmp2, NULL); + return res; +} + #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_toom_sqr.c b/libtommath/bn_mp_toom_sqr.c index 9076e6f..69b69d4 100644 --- a/libtommath/bn_mp_toom_sqr.c +++ b/libtommath/bn_mp_toom_sqr.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TOOM_SQR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* squaring using Toom-Cook 3-way algorithm */ @@ -39,7 +39,9 @@ mp_toom_sqr(mp_int *a, mp_int *b) goto ERR; } mp_rshd(&a1, B); - mp_mod_2d(&a1, DIGIT_BIT * B, &a1); + if ((res = mp_mod_2d(&a1, DIGIT_BIT * B, &a1)) != MP_OKAY) { + goto ERR; + } if ((res = mp_copy(a, &a2)) != MP_OKAY) { goto ERR; @@ -115,112 +117,112 @@ mp_toom_sqr(mp_int *a, mp_int *b) using 12 subtractions, 4 shifts, 2 small divisions and 1 small multiplication. */ - /* r1 - r4 */ - if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r0 */ - if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/2 */ - if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3/2 */ - if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { - goto ERR; - } - /* r2 - r0 - r4 */ - if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1 - 8r0 */ - if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - 8r4 */ - if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { - goto ERR; - } - /* 3r2 - r1 - r3 */ - if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/3 */ - if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { - goto ERR; - } - /* r3/3 */ - if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { - goto ERR; - } - - /* at this point shift W[n] by B*n */ - if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_add(&w0, &w1, b)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, b, b)) != MP_OKAY) { - goto ERR; - } + /* r1 - r4 */ + if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r0 */ + if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1/2 */ + if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3/2 */ + if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { + goto ERR; + } + /* r2 - r0 - r4 */ + if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { + goto ERR; + } + /* r1 - r2 */ + if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r2 */ + if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1 - 8r0 */ + if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - 8r4 */ + if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { + goto ERR; + } + /* 3r2 - r1 - r3 */ + if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { + goto ERR; + } + /* r1 - r2 */ + if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { + goto ERR; + } + /* r3 - r2 */ + if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { + goto ERR; + } + /* r1/3 */ + if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { + goto ERR; + } + /* r3/3 */ + if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { + goto ERR; + } + + /* at this point shift W[n] by B*n */ + if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { + goto ERR; + } + + if ((res = mp_add(&w0, &w1, b)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { + goto ERR; + } + if ((res = mp_add(&tmp1, b, b)) != MP_OKAY) { + goto ERR; + } ERR: - mp_clear_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL); - return res; + mp_clear_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL); + return res; } #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_toradix.c b/libtommath/bn_mp_toradix.c index bb95783..f04352d 100644 --- a/libtommath/bn_mp_toradix.c +++ b/libtommath/bn_mp_toradix.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TORADIX_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* stores a bignum as a ASCII string in a given radix (2..64) */ @@ -24,12 +24,12 @@ int mp_toradix (mp_int * a, char *str, int radix) char *_s = str; /* check range of the radix */ - if (radix < 2 || radix > 64) { + if ((radix < 2) || (radix > 64)) { return MP_VAL; } /* quick out if its zero */ - if (mp_iszero(a) == 1) { + if (mp_iszero(a) == MP_YES) { *str++ = '0'; *str = '\0'; return MP_OKAY; @@ -47,7 +47,7 @@ int mp_toradix (mp_int * a, char *str, int radix) } digs = 0; - while (mp_iszero (&t) == 0) { + while (mp_iszero (&t) == MP_NO) { if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) { mp_clear (&t); return res; @@ -71,5 +71,5 @@ int mp_toradix (mp_int * a, char *str, int radix) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_toradix_n.c b/libtommath/bn_mp_toradix_n.c index 7e425d6..19b61d7 100644 --- a/libtommath/bn_mp_toradix_n.c +++ b/libtommath/bn_mp_toradix_n.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_TORADIX_N_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* stores a bignum as a ASCII string in a given radix (2..64) @@ -27,7 +27,7 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) char *_s = str; /* check range of the maxlen, radix */ - if (maxlen < 2 || radix < 2 || radix > 64) { + if ((maxlen < 2) || (radix < 2) || (radix > 64)) { return MP_VAL; } @@ -56,7 +56,7 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) } digs = 0; - while (mp_iszero (&t) == 0) { + while (mp_iszero (&t) == MP_NO) { if (--maxlen < 1) { /* no more room */ break; @@ -84,5 +84,5 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_unsigned_bin_size.c b/libtommath/bn_mp_unsigned_bin_size.c index b16fdcd..0312625 100644 --- a/libtommath/bn_mp_unsigned_bin_size.c +++ b/libtommath/bn_mp_unsigned_bin_size.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_UNSIGNED_BIN_SIZE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,17 +12,17 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* get the size for an unsigned equivalent */ int mp_unsigned_bin_size (mp_int * a) { int size = mp_count_bits (a); - return (size / 8 + ((size & 7) != 0 ? 1 : 0)); + return (size / 8) + (((size & 7) != 0) ? 1 : 0); } #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_xor.c b/libtommath/bn_mp_xor.c index 5744556..3c2ba9e 100644 --- a/libtommath/bn_mp_xor.c +++ b/libtommath/bn_mp_xor.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_XOR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* XOR two ints together */ @@ -47,5 +47,5 @@ mp_xor (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_mp_zero.c b/libtommath/bn_mp_zero.c index 99e6df2..21365ed 100644 --- a/libtommath/bn_mp_zero.c +++ b/libtommath/bn_mp_zero.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_MP_ZERO_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* set to zero */ @@ -32,5 +32,5 @@ void mp_zero (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_prime_tab.c b/libtommath/bn_prime_tab.c index fb5ad08..ae727a4 100644 --- a/libtommath/bn_prime_tab.c +++ b/libtommath/bn_prime_tab.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_PRIME_TAB_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ const mp_digit ltm_prime_tab[] = { 0x0002, 0x0003, 0x0005, 0x0007, 0x000B, 0x000D, 0x0011, 0x0013, @@ -57,5 +57,5 @@ const mp_digit ltm_prime_tab[] = { #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_reverse.c b/libtommath/bn_reverse.c index 17cdcc1..fc6eb2d 100644 --- a/libtommath/bn_reverse.c +++ b/libtommath/bn_reverse.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_REVERSE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* reverse an array, used for radix code */ @@ -35,5 +35,5 @@ bn_reverse (unsigned char *s, int len) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_s_mp_add.c b/libtommath/bn_s_mp_add.c index 0ca20b8..c2ad649 100644 --- a/libtommath/bn_s_mp_add.c +++ b/libtommath/bn_s_mp_add.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_S_MP_ADD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* low level addition, based on HAC pp.594, Algorithm 14.7 */ @@ -36,7 +36,7 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) } /* init result */ - if (c->alloc < max + 1) { + if (c->alloc < (max + 1)) { if ((res = mp_grow (c, max + 1)) != MP_OKAY) { return res; } @@ -47,8 +47,8 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) c->used = max + 1; { - register mp_digit u, *tmpa, *tmpb, *tmpc; - register int i; + mp_digit u, *tmpa, *tmpb, *tmpc; + int i; /* alias for digit pointers */ @@ -105,5 +105,5 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_s_mp_exptmod.c b/libtommath/bn_s_mp_exptmod.c index bc02a28..63e1b1e 100644 --- a/libtommath/bn_s_mp_exptmod.c +++ b/libtommath/bn_s_mp_exptmod.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_S_MP_EXPTMOD_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ #ifdef MP_LOW_MEM #define TAB_SIZE 32 @@ -164,12 +164,12 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) * in the exponent. Technically this opt is not required but it * does lower the # of trivial squaring/reductions used */ - if (mode == 0 && y == 0) { + if ((mode == 0) && (y == 0)) { continue; } /* if the bit is zero and mode == 1 then we square */ - if (mode == 1 && y == 0) { + if ((mode == 1) && (y == 0)) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { goto LBL_RES; } @@ -211,7 +211,7 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) } /* if bits remain then square/multiply */ - if (mode == 2 && bitcpy > 0) { + if ((mode == 2) && (bitcpy > 0)) { /* square then multiply if the bit is set */ for (x = 0; x < bitcpy; x++) { if ((err = mp_sqr (&res, &res)) != MP_OKAY) { @@ -248,5 +248,5 @@ LBL_M: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_s_mp_mul_digs.c b/libtommath/bn_s_mp_mul_digs.c index 86196bf..bd8553d 100644 --- a/libtommath/bn_s_mp_mul_digs.c +++ b/libtommath/bn_s_mp_mul_digs.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_S_MP_MUL_DIGS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* multiplies |a| * |b| and only computes upto digs digits of result @@ -29,8 +29,8 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* can we use the fast multiplier? */ if (((digs) < MP_WARRAY) && - MIN (a->used, b->used) < - (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + (MIN (a->used, b->used) < + (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { return fast_s_mp_mul_digs (a, b, c, digs); } @@ -61,9 +61,9 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* compute the columns of the output and propagate the carry */ for (iy = 0; iy < pb; iy++) { /* compute the column as a mp_word */ - r = ((mp_word)*tmpt) + - ((mp_word)tmpx) * ((mp_word)*tmpy++) + - ((mp_word) u); + r = (mp_word)*tmpt + + ((mp_word)tmpx * (mp_word)*tmpy++) + + (mp_word)u; /* the new column is the lower part of the result */ *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); @@ -72,7 +72,7 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); } /* set carry if it is placed below digs */ - if (ix + iy < digs) { + if ((ix + iy) < digs) { *tmpt = u; } } @@ -86,5 +86,5 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_s_mp_mul_high_digs.c b/libtommath/bn_s_mp_mul_high_digs.c index 019014e..153cea44 100644 --- a/libtommath/bn_s_mp_mul_high_digs.c +++ b/libtommath/bn_s_mp_mul_high_digs.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_S_MP_MUL_HIGH_DIGS_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* multiplies |a| * |b| and does not compute the lower digs digits @@ -30,7 +30,7 @@ s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* can we use the fast multiplier? */ #ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C if (((a->used + b->used + 1) < MP_WARRAY) - && MIN (a->used, b->used) < (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { + && (MIN (a->used, b->used) < (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { return fast_s_mp_mul_high_digs (a, b, c, digs); } #endif @@ -57,9 +57,9 @@ s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) for (iy = digs - ix; iy < pb; iy++) { /* calculate the double precision result */ - r = ((mp_word)*tmpt) + - ((mp_word)tmpx) * ((mp_word)*tmpy++) + - ((mp_word) u); + r = (mp_word)*tmpt + + ((mp_word)tmpx * (mp_word)*tmpy++) + + (mp_word)u; /* get the lower part */ *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); @@ -77,5 +77,5 @@ s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_s_mp_sqr.c b/libtommath/bn_s_mp_sqr.c index 90c465d..68c95bc 100644 --- a/libtommath/bn_s_mp_sqr.c +++ b/libtommath/bn_s_mp_sqr.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_S_MP_SQR_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* low level squaring, b = a*a, HAC pp.596-597, Algorithm 14.16 */ @@ -24,18 +24,18 @@ int s_mp_sqr (mp_int * a, mp_int * b) mp_digit u, tmpx, *tmpt; pa = a->used; - if ((res = mp_init_size (&t, 2*pa + 1)) != MP_OKAY) { + if ((res = mp_init_size (&t, (2 * pa) + 1)) != MP_OKAY) { return res; } /* default used is maximum possible size */ - t.used = 2*pa + 1; + t.used = (2 * pa) + 1; for (ix = 0; ix < pa; ix++) { /* first calculate the digit at 2*ix */ /* calculate double precision result */ - r = ((mp_word) t.dp[2*ix]) + - ((mp_word)a->dp[ix])*((mp_word)a->dp[ix]); + r = (mp_word)t.dp[2*ix] + + ((mp_word)a->dp[ix] * (mp_word)a->dp[ix]); /* store lower part in result */ t.dp[ix+ix] = (mp_digit) (r & ((mp_word) MP_MASK)); @@ -47,7 +47,7 @@ int s_mp_sqr (mp_int * a, mp_int * b) tmpx = a->dp[ix]; /* alias for where to store the results */ - tmpt = t.dp + (2*ix + 1); + tmpt = t.dp + ((2 * ix) + 1); for (iy = ix + 1; iy < pa; iy++) { /* first calculate the product */ @@ -80,5 +80,5 @@ int s_mp_sqr (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bn_s_mp_sub.c b/libtommath/bn_s_mp_sub.c index ccea6bd..c0ea556 100644 --- a/libtommath/bn_s_mp_sub.c +++ b/libtommath/bn_s_mp_sub.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BN_S_MP_SUB_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* low level subtraction (assumes |a| > |b|), HAC pp.595 Algorithm 14.9 */ @@ -35,8 +35,8 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) c->used = max; { - register mp_digit u, *tmpa, *tmpb, *tmpc; - register int i; + mp_digit u, *tmpa, *tmpb, *tmpc; + int i; /* alias for digit pointers */ tmpa = a->dp; @@ -47,14 +47,14 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) u = 0; for (i = 0; i < min; i++) { /* T[i] = A[i] - B[i] - U */ - *tmpc = *tmpa++ - *tmpb++ - u; + *tmpc = (*tmpa++ - *tmpb++) - u; /* U = carry bit of T[i] * Note this saves performing an AND operation since * if a carry does occur it will propagate all the way to the * MSB. As a result a single shift is enough to get the carry */ - u = *tmpc >> ((mp_digit)(CHAR_BIT * sizeof (mp_digit) - 1)); + u = *tmpc >> ((mp_digit)((CHAR_BIT * sizeof(mp_digit)) - 1)); /* Clear carry from T[i] */ *tmpc++ &= MP_MASK; @@ -66,7 +66,7 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) *tmpc = *tmpa++ - u; /* U = carry bit of T[i] */ - u = *tmpc >> ((mp_digit)(CHAR_BIT * sizeof (mp_digit) - 1)); + u = *tmpc >> ((mp_digit)((CHAR_BIT * sizeof(mp_digit)) - 1)); /* Clear carry from T[i] */ *tmpc++ &= MP_MASK; @@ -85,5 +85,5 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/bncore.c b/libtommath/bncore.c index 1a0ac2c..9552714 100644 --- a/libtommath/bncore.c +++ b/libtommath/bncore.c @@ -1,4 +1,4 @@ -#include +#include #ifdef BNCORE_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ /* Known optimal configurations @@ -32,5 +32,5 @@ int KARATSUBA_MUL_CUTOFF = 80, /* Min. number of digits before Karatsub #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/booker.pl b/libtommath/booker.pl index 49f1889..c2abae6 100644 --- a/libtommath/booker.pl +++ b/libtommath/booker.pl @@ -15,7 +15,7 @@ if (shift =~ /PDF/) { $graph = ""; } else { $graph = ".ps"; -} +} open(IN,"tommath.tex") or die "Can't open destination file"; @@ -26,18 +26,18 @@ $x = 0; while () { print "."; if (!(++$x % 80)) { print "\n"; } - #update the headings + #update the headings if (~($_ =~ /\*/)) { - if ($_ =~ /\\chapter{.+}/) { + if ($_ =~ /\\chapter\{.+}/) { ++$chapter; $section = $subsection = 0; - } elsif ($_ =~ /\\section{.+}/) { + } elsif ($_ =~ /\\section\{.+}/) { ++$section; $subsection = 0; - } elsif ($_ =~ /\\subsection{.+}/) { + } elsif ($_ =~ /\\subsection\{.+}/) { ++$subsection; } - } + } if ($_ =~ m/MARK/) { @m = split(",",$_); @@ -56,7 +56,7 @@ $srcline = 0; while () { ++$readline; ++$srcline; - + if ($_ =~ m/MARK/) { } elsif ($_ =~ m/EXAM/ || $_ =~ m/LIST/) { if ($_ =~ m/EXAM/) { @@ -64,29 +64,29 @@ while () { } else { $skipheader = 0; } - + # EXAM,file chomp($_); @m = split(",",$_); open(SRC,"<$m[1]") or die "Error:$srcline:Can't open source file $m[1]"; - + print "$srcline:Inserting $m[1]:"; - + $line = 0; $tmp = $m[1]; $tmp =~ s/_/"\\_"/ge; print OUT "\\vspace{+3mm}\\begin{small}\n\\hspace{-5.1mm}{\\bf File}: $tmp\n\\vspace{-3mm}\n\\begin{alltt}\n"; $wroteline += 5; - + if ($skipheader == 1) { - # scan till next end of comment, e.g. skip license + # scan till next end of comment, e.g. skip license while () { $text[$line++] = $_; - last if ($_ =~ /math\.libtomcrypt\.com/); + last if ($_ =~ /libtom\.org/); } - ; + ; } - + $inline = 0; while () { next if ($_ =~ /\$Source/); @@ -100,11 +100,11 @@ while () { $_ =~ s/}/"^}"/ge; $_ =~ s/\\/'\symbol{92}'/ge; $_ =~ s/\^/"\\"/ge; - + printf OUT ("%03d ", $line); for ($x = 0; $x < length($_); $x++) { print OUT chr(vec($_, $x, 8)); - if ($x == 75) { + if ($x == 75) { print OUT "\n "; ++$wroteline; } @@ -123,9 +123,9 @@ while () { $txt = $_; while ($txt =~ m/@\d+,.+@/) { @m = split("@",$txt); # splits into text, one, two - @parms = split(",",$m[1]); # splits one,two into two elements - - # now search from $parms[0] down for $parms[1] + @parms = split(",",$m[1]); # splits one,two into two elements + + # now search from $parms[0] down for $parms[1] $found1 = 0; $found2 = 0; for ($i = $parms[0]; $i < $totlines && $found1 == 0; $i++) { @@ -134,7 +134,7 @@ while () { $found1 = 1; } } - + # now search backwards for ($i = $parms[0] - 1; $i >= 0 && $found2 == 0; $i--) { if ($text[$i] =~ m/\Q$parms[1]\E/) { @@ -142,7 +142,7 @@ while () { $found2 = 1; } } - + # now use the closest match or the first if tied if ($found1 == 1 && $found2 == 0) { $found = 1; @@ -160,8 +160,8 @@ while () { } else { $found = 0; } - - # if found replace + + # if found replace if ($found == 1) { $delta = $parms[0] - $foundline; print "Found replacement tag for \"$parms[1]\" on line $srcline which refers to line $foundline (delta $delta)\n"; @@ -169,8 +169,8 @@ while () { } else { print "ERROR: The tag \"$parms[1]\" on line $srcline was not found in the most recently parsed source!\n"; } - - # remake the rest of the line + + # remake the rest of the line $cnt = @m; $txt = ""; for ($i = 2; $i < $cnt; $i++) { @@ -184,13 +184,13 @@ while () { $txt = $_; while ($txt =~ /~.+~/) { @m = split("~", $txt); - + # word is the second position $word = @m[1]; $a = $index1{$word}; $b = $index2{$word}; $c = $index3{$word}; - + # if chapter (a) is zero it wasn't found if ($a == 0) { print "ERROR: the tag \"$word\" on line $srcline was not found previously marked.\n"; @@ -199,7 +199,7 @@ while () { $str = $a; $str = $str . ".$b" if ($b != 0); $str = $str . ".$c" if ($c != 0); - + if ($b == 0 && $c == 0) { # its a chapter if ($a <= 10) { @@ -228,16 +228,16 @@ while () { $str = "chapter " . $str; } } else { - $str = "section " . $str if ($b != 0 && $c == 0); + $str = "section " . $str if ($b != 0 && $c == 0); $str = "sub-section " . $str if ($b != 0 && $c != 0); } - + #substitute $_ =~ s/~\Q$word\E~/$str/; - + print "Found replacement tag for marker \"$word\" on line $srcline which refers to $str\n"; } - + # remake rest of the line $cnt = @m; $txt = ""; @@ -263,3 +263,5 @@ print "Read $readline lines, wrote $wroteline lines\n"; close (OUT); close (IN); + +system('perl -pli -e "s/\s*$//" tommath.tex'); diff --git a/libtommath/callgraph.txt b/libtommath/callgraph.txt index 2efcf24..e98a910 100644 --- a/libtommath/callgraph.txt +++ b/libtommath/callgraph.txt @@ -1,402 +1,132 @@ -BN_PRIME_TAB_C - - -BN_MP_SQRT_C -+--->BN_MP_N_ROOT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_EXPT_D_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_SQR_C +BN_MP_KARATSUBA_MUL_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_DIV_3_C | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C +| | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_D_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C +| +--->BN_S_MP_MUL_DIGS_C | | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_ZERO_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -+--->BN_MP_DIV_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_SET_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C | | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C | +--->BN_MP_CMP_MAG_C | +--->BN_S_MP_SUB_C | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2_C ++--->BN_S_MP_SUB_C | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_EXCH_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +--->BN_MP_CLEAR_C -BN_MP_CMP_D_C +BN_MP_ZERO_C -BN_MP_EXCH_C +BN_MP_SET_C ++--->BN_MP_ZERO_C -BN_MP_IS_SQUARE_C -+--->BN_MP_MOD_D_C -| +--->BN_MP_DIV_D_C +BN_MP_TO_SIGNED_BIN_C ++--->BN_MP_TO_UNSIGNED_BIN_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_SET_INT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_SET_INT_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C + + +BN_S_MP_SUB_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_MP_JACOBI_C ++--->BN_MP_CMP_D_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_CNT_LSB_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +--->BN_MP_MOD_C -| +--->BN_MP_INIT_C | +--->BN_MP_DIV_C | | +--->BN_MP_CMP_MAG_C | | +--->BN_MP_COPY_C @@ -427,18 +157,10 @@ BN_MP_IS_SQUARE_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C | | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_MULTI_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C @@ -449,6 +171,7 @@ BN_MP_IS_SQUARE_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLEAR_C | +--->BN_MP_CLEAR_C +| +--->BN_MP_EXCH_C | +--->BN_MP_ADD_C | | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C @@ -457,362 +180,180 @@ BN_MP_IS_SQUARE_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_INIT_COPY_C ++--->BN_MP_INIT_SIZE_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C + + +BN_MP_ABS_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C + + +BN_MP_RADIX_SMAP_C + + +BN_MP_EXCH_C + + +BN_MP_EXPORT_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C | +--->BN_MP_EXCH_C -+--->BN_MP_GET_INT_C -+--->BN_MP_SQRT_C -| +--->BN_MP_N_ROOT_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C ++--->BN_MP_CLEAR_C + + +BN_MP_TO_UNSIGNED_BIN_N_C ++--->BN_MP_UNSIGNED_BIN_SIZE_C +| +--->BN_MP_COUNT_BITS_C ++--->BN_MP_TO_UNSIGNED_BIN_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_EXPT_D_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_FAST_S_MP_SQR_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + +BN_MP_TO_SIGNED_BIN_N_C ++--->BN_MP_SIGNED_BIN_SIZE_C +| +--->BN_MP_UNSIGNED_BIN_SIZE_C +| | +--->BN_MP_COUNT_BITS_C ++--->BN_MP_TO_SIGNED_BIN_C +| +--->BN_MP_TO_UNSIGNED_BIN_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_SUB_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_D_C -| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_COPY_C + + +BN_MP_LCM_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_GCD_C +| +--->BN_MP_ABS_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C +| +--->BN_MP_CNT_LSB_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_EXCH_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_DIV_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_SET_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C | +--->BN_MP_ADD_C | | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2_C -| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_EXCH_C | +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_INIT_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C | +--->BN_MP_CLEAR_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLEAR_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_COPY_C @@ -828,7 +369,6 @@ BN_MP_IS_SQUARE_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -836,7 +376,6 @@ BN_MP_IS_SQUARE_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -860,802 +399,471 @@ BN_MP_IS_SQUARE_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_MULTI_C | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_SQR_C +| +--->BN_MP_KARATSUBA_MUL_C | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_ADD_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_SQR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C +| +--->BN_S_MP_MUL_DIGS_C | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C -BN_MP_NEG_C +BN_MP_CMP_MAG_C + + +BN_MP_PRIME_RABIN_MILLER_TRIALS_C + + +BN_MP_MUL_2D_C +--->BN_MP_COPY_C | +--->BN_MP_GROW_C ++--->BN_MP_GROW_C ++--->BN_MP_LSHD_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C ++--->BN_MP_CLAMP_C -BN_MP_EXPTMOD_C -+--->BN_MP_INIT_C -+--->BN_MP_INVMOD_C -| +--->BN_FAST_MP_INVMOD_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C +BN_MP_MUL_C ++--->BN_MP_TOOM_MUL_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_ZERO_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_DIV_2_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_CMP_D_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_INVMOD_SLOW_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_COPY_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_CMP_D_C | | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C -+--->BN_MP_ABS_C -| +--->BN_MP_COPY_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_LSHD_C | | +--->BN_MP_GROW_C -+--->BN_MP_CLEAR_MULTI_C -+--->BN_MP_REDUCE_IS_2K_L_C -+--->BN_S_MP_EXPTMOD_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_REDUCE_SETUP_C -| | +--->BN_MP_2EXPT_C -| | | +--->BN_MP_ZERO_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_KARATSUBA_MUL_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ADD_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_REDUCE_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C | | +--->BN_MP_RSHD_C | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLEAR_C ++--->BN_FAST_S_MP_MUL_DIGS_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_S_MP_MUL_DIGS_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + +BN_MP_SQR_C ++--->BN_MP_TOOM_SQR_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_D_C -| | +--->BN_MP_SET_C +| +--->BN_MP_DIV_2_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_KARATSUBA_SQR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C | | | +--->BN_MP_ZERO_C +| +--->BN_MP_ADD_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_CLEAR_C ++--->BN_FAST_S_MP_SQR_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_S_MP_SQR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + +BN_MP_INIT_C + + +BN_MP_2EXPT_C ++--->BN_MP_ZERO_C ++--->BN_MP_GROW_C + + +BN_MP_SIGNED_BIN_SIZE_C ++--->BN_MP_UNSIGNED_BIN_SIZE_C +| +--->BN_MP_COUNT_BITS_C + + +BN_MP_OR_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_MOD_C ++--->BN_MP_INIT_C ++--->BN_MP_DIV_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_SET_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_CLAMP_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_REDUCE_2K_SETUP_L_C -| | +--->BN_MP_2EXPT_C -| | | +--->BN_MP_ZERO_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_REDUCE_2K_L_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C ++--->BN_MP_EXCH_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C + + +BN_MP_DIV_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_ZERO_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_SET_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_ABS_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_INIT_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_INIT_C ++--->BN_MP_INIT_COPY_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C ++--->BN_MP_RSHD_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_INIT_SET_C ++--->BN_MP_INIT_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C + + +BN_MP_PRIME_IS_PRIME_C ++--->BN_MP_CMP_D_C ++--->BN_MP_PRIME_IS_DIVISIBLE_C +| +--->BN_MP_MOD_D_C +| | +--->BN_MP_DIV_D_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_C | | | | +--->BN_MP_MOD_2D_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_DIV_3_C | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | +--->BN_FAST_S_MP_SQR_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_PRIME_MILLER_RABIN_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_D_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CNT_LSB_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_SET_C | | +--->BN_MP_ZERO_C -| +--->BN_MP_EXCH_C -+--->BN_MP_DR_IS_MODULUS_C -+--->BN_MP_REDUCE_IS_2K_C -| +--->BN_MP_REDUCE_2K_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_COUNT_BITS_C -+--->BN_MP_EXPTMOD_FAST_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_MONTGOMERY_SETUP_C -| +--->BN_FAST_MP_MONTGOMERY_REDUCE_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| +--->BN_MP_MONTGOMERY_REDUCE_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| +--->BN_MP_DR_SETUP_C -| +--->BN_MP_DR_REDUCE_C -| | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| +--->BN_MP_REDUCE_2K_SETUP_C -| | +--->BN_MP_2EXPT_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_REDUCE_2K_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | +--->BN_MP_2EXPT_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_MULMOD_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_EXPTMOD_C +| | +--->BN_MP_INVMOD_C +| | | +--->BN_FAST_MP_INVMOD_C | | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_COPY_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -1663,7 +871,9 @@ BN_MP_EXPTMOD_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -1671,178 +881,515 @@ BN_MP_EXPTMOD_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INVMOD_SLOW_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_ABS_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_REDUCE_IS_2K_L_C +| | +--->BN_S_MP_EXPTMOD_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_REDUCE_SETUP_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C +| | | +--->BN_MP_REDUCE_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_REDUCE_2K_L_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_FAST_S_MP_SQR_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DR_IS_MODULUS_C +| | +--->BN_MP_REDUCE_IS_2K_C +| | | +--->BN_MP_REDUCE_2K_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -1850,243 +1397,180 @@ BN_MP_EXPTMOD_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_EXPTMOD_FAST_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_MONTGOMERY_SETUP_C +| | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_KARATSUBA_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_MONTGOMERY_REDUCE_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | +--->BN_FAST_S_MP_SQR_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_DR_SETUP_C +| | | +--->BN_MP_DR_REDUCE_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_REDUCE_2K_SETUP_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_REDUCE_2K_C +| | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MUL_2_C | | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_EXCH_C - - -BN_MP_OR_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_ZERO_C - - -BN_MP_GROW_C - - -BN_MP_COUNT_BITS_C - - -BN_MP_PRIME_FERMAT_C -+--->BN_MP_CMP_D_C -+--->BN_MP_INIT_C -+--->BN_MP_EXPTMOD_C -| +--->BN_MP_INVMOD_C -| | +--->BN_FAST_MP_INVMOD_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MULMOD_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_MUL_2D_C | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_MUL_D_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2D_C -| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_COPY_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INVMOD_SLOW_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_MOD_C | | | | +--->BN_MP_DIV_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_MP_COPY_C | | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_INIT_MULTI_C | | | | | +--->BN_MP_MUL_2D_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_LSHD_C @@ -2107,18 +1591,8 @@ BN_MP_PRIME_FERMAT_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2D_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_COPY_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -2127,8 +1601,7 @@ BN_MP_PRIME_FERMAT_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C @@ -2137,108 +1610,16 @@ BN_MP_PRIME_FERMAT_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_ABS_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_REDUCE_IS_2K_L_C -| +--->BN_S_MP_EXPTMOD_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_REDUCE_SETUP_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_C -| | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C | | | | | +--->BN_MP_INIT_MULTI_C | | | | | +--->BN_MP_MOD_2D_C | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_MUL_2_C | | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C @@ -2273,104 +1654,32 @@ BN_MP_PRIME_FERMAT_C | | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_KARATSUBA_SQR_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_FAST_S_MP_SQR_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_S_MP_SQR_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C -| | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_2K_SETUP_L_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_2K_L_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_MUL_C | | | | +--->BN_MP_TOOM_MUL_C | | | | | +--->BN_MP_INIT_MULTI_C | | | | | +--->BN_MP_MOD_2D_C | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_MUL_2_C @@ -2410,18 +1719,14 @@ BN_MP_PRIME_FERMAT_C | | | | +--->BN_MP_KARATSUBA_MUL_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -2433,75 +1738,21 @@ BN_MP_PRIME_FERMAT_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_SET_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_SQRMOD_C | | +--->BN_MP_SQR_C | | | +--->BN_MP_TOOM_SQR_C | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_MOD_2D_C | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_MUL_2_C @@ -2536,27 +1787,25 @@ BN_MP_PRIME_FERMAT_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_KARATSUBA_SQR_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_C | | | +--->BN_FAST_S_MP_SQR_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -2564,174 +1813,169 @@ BN_MP_PRIME_FERMAT_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_MUL_C -| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_MUL_C -| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_MUL_DIGS_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_DR_IS_MODULUS_C -| +--->BN_MP_REDUCE_IS_2K_C -| | +--->BN_MP_REDUCE_2K_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_EXPTMOD_FAST_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_MONTGOMERY_SETUP_C -| | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | +--->BN_MP_MONTGOMERY_REDUCE_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C + + +BN_FAST_S_MP_SQR_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_MP_UNSIGNED_BIN_SIZE_C ++--->BN_MP_COUNT_BITS_C + + +BN_MP_INIT_SIZE_C ++--->BN_MP_INIT_C + + +BN_FAST_S_MP_MUL_DIGS_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_MP_REDUCE_IS_2K_L_C + + +BN_MP_REDUCE_IS_2K_C ++--->BN_MP_REDUCE_2K_C +| +--->BN_MP_INIT_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | +--->BN_MP_DR_SETUP_C -| | +--->BN_MP_DR_REDUCE_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_COUNT_BITS_C + + +BN_MP_SUB_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_REDUCE_2K_SETUP_C ++--->BN_MP_INIT_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_2EXPT_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_GROW_C ++--->BN_MP_CLEAR_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_DIV_2D_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_ZERO_C ++--->BN_MP_INIT_C ++--->BN_MP_MOD_2D_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C ++--->BN_MP_RSHD_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C + + +BN_MP_DR_REDUCE_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C + + +BN_MP_SQRT_C ++--->BN_MP_N_ROOT_C +| +--->BN_MP_N_ROOT_EX_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | +--->BN_MP_REDUCE_2K_SETUP_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_REDUCE_2K_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | | +--->BN_MP_2EXPT_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SET_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MULMOD_C +| | +--->BN_MP_EXPT_D_EX_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_MUL_C | | | | +--->BN_MP_TOOM_MUL_C | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C | | | | | +--->BN_MP_MOD_2D_C | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_MUL_2_C @@ -2766,27 +2010,27 @@ BN_MP_PRIME_FERMAT_C | | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_KARATSUBA_MUL_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -2794,188 +2038,75 @@ BN_MP_PRIME_FERMAT_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_SET_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_SUB_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2D_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_COPY_C -| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_MUL_2D_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_MUL_D_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_SET_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_COPY_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_FAST_S_MP_SQR_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C +| | | | +--->BN_S_MP_SQR_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C | | +--->BN_MP_MUL_C | | | +--->BN_MP_TOOM_MUL_C | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_MOD_2D_C | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_CLAMP_C @@ -3013,27 +2144,27 @@ BN_MP_PRIME_FERMAT_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_KARATSUBA_MUL_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLEAR_C | | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -3041,167 +2172,136 @@ BN_MP_PRIME_FERMAT_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_MP_CLEAR_C - - -BN_MP_SUBMOD_C -+--->BN_MP_INIT_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C -+--->BN_MP_MOD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SUB_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_SUB_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_ZERO_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_RSHD_C ++--->BN_MP_DIV_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_SET_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C | +--->BN_MP_ADD_C | | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C | +--->BN_MP_EXCH_C - - -BN_MP_MOD_2D_C -+--->BN_MP_ZERO_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_MP_TORADIX_N_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_LSHD_C | | +--->BN_MP_GROW_C -+--->BN_MP_DIV_D_C -| +--->BN_MP_COPY_C +| +--->BN_MP_MUL_D_C | | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C - - -BN_MP_CMP_C -+--->BN_MP_CMP_MAG_C - - -BNCORE_C - - -BN_MP_TORADIX_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_DIV_D_C -| +--->BN_MP_COPY_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C | | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C - - -BN_MP_ADD_D_C -+--->BN_MP_GROW_C -+--->BN_MP_SUB_D_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C | +--->BN_MP_CLAMP_C -+--->BN_MP_CLAMP_C - - -BN_MP_DIV_3_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C +--->BN_MP_EXCH_C +--->BN_MP_CLEAR_C -BN_FAST_S_MP_MUL_DIGS_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_MP_SQRMOD_C +BN_MP_MULMOD_C +--->BN_MP_INIT_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C | | +--->BN_MP_INIT_MULTI_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_MOD_2D_C @@ -3250,30 +2350,26 @@ BN_MP_SQRMOD_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_MULTI_C | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_SQR_C +| +--->BN_MP_KARATSUBA_MUL_C | | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C | | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_ADD_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_SQR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C +| +--->BN_S_MP_MUL_DIGS_C | | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C @@ -3327,6 +2423,7 @@ BN_MP_SQRMOD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C | +--->BN_MP_ADD_C | | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C @@ -3335,7 +2432,6 @@ BN_MP_SQRMOD_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C BN_MP_INVMOD_C @@ -3395,6 +2491,7 @@ BN_MP_INVMOD_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C @@ -3403,7 +2500,6 @@ BN_MP_INVMOD_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C | +--->BN_MP_SET_C | | +--->BN_MP_ZERO_C | +--->BN_MP_DIV_2_C @@ -3487,6 +2583,7 @@ BN_MP_INVMOD_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C @@ -3495,7 +2592,6 @@ BN_MP_INVMOD_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C | +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C | +--->BN_MP_SET_C @@ -3528,196 +2624,91 @@ BN_MP_INVMOD_C | | +--->BN_MP_CLEAR_C -BN_MP_AND_C +BN_MP_PRIME_MILLER_RABIN_C ++--->BN_MP_CMP_D_C +--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C | +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_MUL_D_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_FAST_MP_INVMOD_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_COPY_C ++--->BN_MP_SUB_D_C | +--->BN_MP_GROW_C -+--->BN_MP_MOD_C -| +--->BN_MP_INIT_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_ADD_D_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C | +--->BN_MP_CLAMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_MP_CMP_D_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C ++--->BN_MP_CNT_LSB_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C | | +--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C - - -BN_MP_FWRITE_C -+--->BN_MP_RADIX_SIZE_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C | +--->BN_MP_CLEAR_C -+--->BN_MP_TORADIX_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C - - -BN_S_MP_SQR_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_N_ROOT_C -+--->BN_MP_INIT_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_EXPT_D_C -| +--->BN_MP_INIT_COPY_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_EXPTMOD_C +| +--->BN_MP_INVMOD_C +| | +--->BN_FAST_MP_INVMOD_C | | | +--->BN_MP_INIT_MULTI_C | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SET_C | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_DIV_2_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -3725,7 +2716,9 @@ BN_MP_N_ROOT_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -3733,64 +2726,71 @@ BN_MP_N_ROOT_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_EXCH_C | | | +--->BN_MP_CLEAR_MULTI_C | | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_KARATSUBA_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_FAST_S_MP_SQR_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INVMOD_SLOW_C | | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SET_C | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_DIV_2_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C @@ -3807,69 +2807,251 @@ BN_MP_N_ROOT_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_C | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_ABS_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_REDUCE_IS_2K_L_C +| +--->BN_S_MP_EXPTMOD_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_REDUCE_SETUP_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SET_C +| | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C +| | +--->BN_MP_REDUCE_2K_L_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -3877,276 +3059,268 @@ BN_MP_N_ROOT_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_FAST_S_MP_SQR_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_DR_IS_MODULUS_C +| +--->BN_MP_REDUCE_IS_2K_C +| | +--->BN_MP_REDUCE_2K_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_EXPTMOD_FAST_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_MONTGOMERY_SETUP_C +| | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_MONTGOMERY_REDUCE_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_COPY_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_PRIME_RABIN_MILLER_TRIALS_C - - -BN_MP_RADIX_SIZE_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_DIV_D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C - - -BN_MP_READ_SIGNED_BIN_C -+--->BN_MP_READ_UNSIGNED_BIN_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C - - -BN_MP_PRIME_RANDOM_EX_C -+--->BN_MP_READ_UNSIGNED_BIN_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_COPY_C -| | +--->BN_MP_LSHD_C | | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_PRIME_IS_PRIME_C -| +--->BN_MP_CMP_D_C -| +--->BN_MP_PRIME_IS_DIVISIBLE_C -| | +--->BN_MP_MOD_D_C -| | | +--->BN_MP_DIV_D_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_INIT_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_DR_SETUP_C +| | +--->BN_MP_DR_REDUCE_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_REDUCE_2K_SETUP_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_PRIME_MILLER_RABIN_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_COPY_C +| | +--->BN_MP_REDUCE_2K_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_SUB_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_D_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CNT_LSB_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C +| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXPTMOD_C -| | | +--->BN_MP_INVMOD_C -| | | | +--->BN_FAST_MP_INVMOD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SET_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MULMOD_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_COPY_C | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_MOD_C -| | | | | | +--->BN_MP_DIV_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | | +--->BN_MP_ABS_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C +| | | | | +--->BN_MP_ADD_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C @@ -4154,9 +3328,7 @@ BN_MP_PRIME_RANDOM_EX_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_SUB_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C @@ -4164,575 +3336,222 @@ BN_MP_PRIME_RANDOM_EX_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_INVMOD_SLOW_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_MOD_C -| | | | | | +--->BN_MP_DIV_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | | +--->BN_MP_ABS_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | | +--->BN_MP_CLEAR_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_DIV_2_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_REDUCE_IS_2K_L_C -| | | +--->BN_S_MP_EXPTMOD_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_REDUCE_SETUP_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2D_C | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_COPY_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C | | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CMP_C | | | | | +--->BN_MP_SUB_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_2K_SETUP_L_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_2K_L_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_COPY_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_SQR_C -| | | | | +--->BN_MP_TOOM_SQR_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_DR_IS_MODULUS_C -| | | +--->BN_MP_REDUCE_IS_2K_C -| | | | +--->BN_MP_REDUCE_2K_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_EXPTMOD_FAST_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_MONTGOMERY_SETUP_C -| | | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | | | +--->BN_MP_DIV_2_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_DR_SETUP_C -| | | | +--->BN_MP_DR_REDUCE_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_REDUCE_2K_SETUP_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_REDUCE_2K_C -| | | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -4740,886 +3559,206 @@ BN_MP_PRIME_RANDOM_EX_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | | | | +--->BN_MP_2EXPT_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MULMOD_C -| | | | | +--->BN_MP_MUL_C -| | | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | | +--->BN_MP_COPY_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_MUL_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_2_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_DIV_3_C -| | | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_MOD_C -| | | | | | +--->BN_MP_DIV_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_C -| | | | | | | +--->BN_MP_SUB_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_ADD_C -| | | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_MUL_D_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_COPY_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_SQR_C -| | | | | +--->BN_MP_TOOM_SQR_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_FAST_S_MP_SQR_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SQR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CMP_C -| | | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_SQRMOD_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_SQRMOD_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_COUNT_BITS_C -| | | | | +--->BN_MP_ABS_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_2_C -| +--->BN_MP_GROW_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_KARATSUBA_SQR_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C +| | | +--->BN_MP_DIV_2_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_SUB_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C +| | +--->BN_FAST_S_MP_SQR_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C | | | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_SQR_C -| | +--->BN_MP_GROW_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -+--->BN_MP_ADD_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -+--->BN_MP_CLEAR_C - - -BN_MP_INIT_COPY_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C - - -BN_MP_CLAMP_C - - -BN_MP_TOOM_SQR_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C | +--->BN_MP_CLEAR_C -+--->BN_MP_MOD_2D_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C -+--->BN_MP_SQR_C -| +--->BN_MP_KARATSUBA_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_SQR_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_MUL_2_C -| +--->BN_MP_GROW_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_2D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_3_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C - - -BN_MP_MOD_C -+--->BN_MP_INIT_C -+--->BN_MP_DIV_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_SET_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_COPY_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C - - -BN_MP_INIT_C - - -BN_MP_TOOM_MUL_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_MOD_2D_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C -+--->BN_MP_MUL_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_MUL_2_C -| +--->BN_MP_GROW_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_READ_UNSIGNED_BIN_C ++--->BN_MP_GROW_C ++--->BN_MP_ZERO_C +--->BN_MP_MUL_2D_C -| +--->BN_MP_GROW_C +| +--->BN_MP_COPY_C | +--->BN_MP_LSHD_C +| | +--->BN_MP_RSHD_C | +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_3_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C ++--->BN_MP_CLAMP_C -BN_MP_PRIME_IS_PRIME_C -+--->BN_MP_CMP_D_C -+--->BN_MP_PRIME_IS_DIVISIBLE_C -| +--->BN_MP_MOD_D_C -| | +--->BN_MP_DIV_D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_C +BN_MP_N_ROOT_C ++--->BN_MP_N_ROOT_EX_C +| +--->BN_MP_INIT_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_EXPT_D_EX_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_INIT_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_PRIME_MILLER_RABIN_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CNT_LSB_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_EXPTMOD_C -| | +--->BN_MP_INVMOD_C -| | | +--->BN_FAST_MP_INVMOD_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | +--->BN_MP_ABS_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -5627,9 +3766,7 @@ BN_MP_PRIME_IS_PRIME_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -5637,68 +3774,60 @@ BN_MP_PRIME_IS_PRIME_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INVMOD_SLOW_C -| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | +--->BN_MP_ABS_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_COPY_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C @@ -5715,256 +3844,63 @@ BN_MP_PRIME_IS_PRIME_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_ABS_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_REDUCE_IS_2K_L_C -| | +--->BN_S_MP_EXPTMOD_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_REDUCE_SETUP_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_SETUP_L_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_L_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_SUB_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -5972,240 +3908,292 @@ BN_MP_PRIME_IS_PRIME_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_SQR_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DR_IS_MODULUS_C -| | +--->BN_MP_REDUCE_IS_2K_C -| | | +--->BN_MP_REDUCE_2K_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_EXPTMOD_FAST_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_MONTGOMERY_SETUP_C -| | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_DR_SETUP_C -| | | +--->BN_MP_DR_REDUCE_C +| | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_REDUCE_2K_SETUP_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + +BN_MP_EXPT_D_EX_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C + + +BN_MP_EXPT_D_C ++--->BN_MP_EXPT_D_EX_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_C -| | | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -6213,806 +4201,4335 @@ BN_MP_PRIME_IS_PRIME_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MULMOD_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_MP_SQRMOD_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_DIV_3_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C +| | | +--->BN_MP_DIV_3_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_FAST_S_MP_SQR_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C - - -BN_MP_COPY_C -+--->BN_MP_GROW_C - - -BN_S_MP_SUB_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C -BN_MP_READ_UNSIGNED_BIN_C -+--->BN_MP_GROW_C -+--->BN_MP_ZERO_C -+--->BN_MP_MUL_2D_C +BN_MP_XOR_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C | +--->BN_MP_COPY_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C +| | +--->BN_MP_GROW_C +--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C -BN_MP_EXPTMOD_FAST_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_INIT_C -+--->BN_MP_CLEAR_C -+--->BN_MP_MONTGOMERY_SETUP_C -+--->BN_FAST_MP_MONTGOMERY_REDUCE_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -+--->BN_MP_MONTGOMERY_REDUCE_C +BN_MP_REDUCE_SETUP_C ++--->BN_MP_2EXPT_C +| +--->BN_MP_ZERO_C | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C ++--->BN_MP_DIV_C | +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -+--->BN_MP_DR_SETUP_C -+--->BN_MP_DR_REDUCE_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -+--->BN_MP_REDUCE_2K_SETUP_C -| +--->BN_MP_2EXPT_C -| | +--->BN_MP_ZERO_C +| +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C -| +--->BN_S_MP_SUB_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_SET_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -+--->BN_MP_REDUCE_2K_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C +| +--->BN_MP_CMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_INIT_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_ADD_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_INIT_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_LSHD_C | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_MUL_D_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -+--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| +--->BN_MP_2EXPT_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C + + +BN_MP_RSHD_C ++--->BN_MP_ZERO_C + + +BN_MP_NEG_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C + + +BN_MP_SHRINK_C + + +BN_MP_PRIME_RANDOM_EX_C ++--->BN_MP_READ_UNSIGNED_BIN_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -+--->BN_MP_MULMOD_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_PRIME_IS_PRIME_C +| +--->BN_MP_CMP_D_C +| +--->BN_MP_PRIME_IS_DIVISIBLE_C +| | +--->BN_MP_MOD_D_C +| | | +--->BN_MP_DIV_D_C | | | | +--->BN_MP_COPY_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_INIT_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_C | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_PRIME_MILLER_RABIN_C +| | +--->BN_MP_INIT_COPY_C | | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_SUB_D_C | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_D_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CNT_LSB_C +| | +--->BN_MP_DIV_2D_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2D_C -| | | | +--->BN_MP_MOD_2D_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_MOD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXPTMOD_C +| | | +--->BN_MP_INVMOD_C +| | | | +--->BN_FAST_MP_INVMOD_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | | +--->BN_MP_ABS_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INVMOD_SLOW_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | | +--->BN_MP_ABS_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | | +--->BN_MP_CLEAR_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_REDUCE_IS_2K_L_C +| | | +--->BN_S_MP_EXPTMOD_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_REDUCE_SETUP_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_L_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SQR_C +| | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_DR_IS_MODULUS_C +| | | +--->BN_MP_REDUCE_IS_2K_C +| | | | +--->BN_MP_REDUCE_2K_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_EXPTMOD_FAST_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_MONTGOMERY_SETUP_C +| | | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_DR_SETUP_C +| | | | +--->BN_MP_DR_REDUCE_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_REDUCE_2K_SETUP_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_REDUCE_2K_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | | | +--->BN_MP_2EXPT_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MULMOD_C +| | | | | +--->BN_MP_MUL_C +| | | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | | +--->BN_MP_COPY_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_MUL_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_2_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_DIV_3_C +| | | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_MOD_C +| | | | | | +--->BN_MP_DIV_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_C +| | | | | | | +--->BN_MP_SUB_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_ADD_C +| | | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_MUL_D_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SQR_C +| | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_SQRMOD_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ADD_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_2_C +| +--->BN_MP_GROW_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_CMP_D_C + + +BN_MP_DR_IS_MODULUS_C + + +BN_MP_IMPORT_C ++--->BN_MP_ZERO_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLAMP_C + + +BN_MP_COUNT_BITS_C + + +BN_MP_FREAD_C ++--->BN_MP_ZERO_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_D_C + + +BN_MP_REDUCE_2K_L_C ++--->BN_MP_INIT_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_AND_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_SQRMOD_C ++--->BN_MP_INIT_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C + + +BN_MP_DIV_D_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_INIT_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_DIV_3_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_INIT_MULTI_C ++--->BN_MP_INIT_C ++--->BN_MP_CLEAR_C + + +BN_S_MP_EXPTMOD_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_INIT_C ++--->BN_MP_CLEAR_C ++--->BN_MP_REDUCE_SETUP_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_REDUCE_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_S_MP_MUL_HIGH_DIGS_C +| | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_D_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_REDUCE_2K_SETUP_L_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_REDUCE_2K_L_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_EXCH_C + + +BN_MP_MONTGOMERY_CALC_NORMALIZATION_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_2EXPT_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_GROW_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_MUL_2_C +| +--->BN_MP_GROW_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_MONTGOMERY_SETUP_C + + +BN_FAST_MP_INVMOD_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_MOD_C +| +--->BN_MP_INIT_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_CMP_D_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C + + +BN_MP_TO_UNSIGNED_BIN_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_CLEAR_MULTI_C ++--->BN_MP_CLEAR_C + + +BNCORE_C + + +BN_MP_TORADIX_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_DIV_D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C + + +BN_MP_EXPTMOD_FAST_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_INIT_C ++--->BN_MP_CLEAR_C ++--->BN_MP_MONTGOMERY_SETUP_C ++--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C ++--->BN_MP_MONTGOMERY_REDUCE_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C ++--->BN_MP_DR_SETUP_C ++--->BN_MP_DR_REDUCE_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C ++--->BN_MP_REDUCE_2K_SETUP_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_REDUCE_2K_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_MUL_D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MULMOD_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C ++--->BN_MP_EXCH_C + + +BN_MP_MUL_D_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_MP_SET_LONG_LONG_C + + +BN_MP_DIV_2_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_ERROR_C + + +BN_MP_RAND_C ++--->BN_MP_ZERO_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C + + +BN_S_MP_SQR_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_CMP_C ++--->BN_MP_CMP_MAG_C + + +BN_MP_N_ROOT_EX_C ++--->BN_MP_INIT_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_EXPT_D_EX_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | +--->BN_FAST_S_MP_SQR_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ADD_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_PRIME_IS_DIVISIBLE_C ++--->BN_MP_MOD_D_C +| +--->BN_MP_DIV_D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C + + +BN_MP_INIT_SET_INT_C ++--->BN_MP_INIT_C ++--->BN_MP_SET_INT_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C + + +BN_MP_DIV_3_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C + + +BN_MP_MONTGOMERY_REDUCE_C ++--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| +--->BN_MP_GROW_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C + + +BN_MP_INVMOD_SLOW_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_MOD_C +| +--->BN_MP_INIT_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C | | +--->BN_MP_SUB_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_CMP_D_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C + + +BN_S_MP_ADD_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C + + +BN_MP_READ_SIGNED_BIN_C ++--->BN_MP_READ_UNSIGNED_BIN_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C + + +BN_MP_MOD_D_C ++--->BN_MP_DIV_D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C + + +BN_MP_SQRTMOD_PRIME_C ++--->BN_MP_CMP_D_C ++--->BN_MP_ZERO_C ++--->BN_MP_JACOBI_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_CNT_LSB_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_MOD_D_C +| +--->BN_MP_DIV_D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_SUB_D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_EXPTMOD_C +| +--->BN_MP_INIT_C +| +--->BN_MP_INVMOD_C +| | +--->BN_FAST_MP_INVMOD_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INVMOD_SLOW_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_COUNT_BITS_C +| | | | | +--->BN_MP_ABS_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_ABS_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_REDUCE_IS_2K_L_C +| +--->BN_S_MP_EXPTMOD_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_REDUCE_SETUP_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_2K_L_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_DR_IS_MODULUS_C +| +--->BN_MP_REDUCE_IS_2K_C +| | +--->BN_MP_REDUCE_2K_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_EXPTMOD_FAST_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_MONTGOMERY_SETUP_C +| | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_DR_SETUP_C +| | +--->BN_MP_DR_REDUCE_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | +--->BN_MP_REDUCE_2K_SETUP_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_REDUCE_2K_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | +--->BN_MP_2EXPT_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MULMOD_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_SET_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_FAST_S_MP_SQR_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_SET_INT_C +| +--->BN_MP_MUL_2D_C +| | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_SQRMOD_C +| +--->BN_MP_INIT_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_2_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_SQR_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C +| | +--->BN_S_MP_SQR_C | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_KARATSUBA_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C -| +--->BN_FAST_S_MP_SQR_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C @@ -7021,572 +8538,911 @@ BN_MP_EXPTMOD_FAST_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C ++--->BN_MP_MULMOD_C +| +--->BN_MP_INIT_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_KARATSUBA_MUL_C +| | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C +| | +--->BN_S_MP_MUL_DIGS_C | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_ABS_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -+--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLAMP_C ++--->BN_MP_SET_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C -BN_MP_TO_UNSIGNED_BIN_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C +BN_FAST_S_MP_MUL_HIGH_DIGS_C ++--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C -BN_MP_SET_INT_C -+--->BN_MP_ZERO_C -+--->BN_MP_MUL_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_RSHD_C +BN_REVERSE_C + + +BN_MP_PRIME_NEXT_PRIME_C ++--->BN_MP_CMP_D_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_ADD_D_C +| | +--->BN_MP_CLAMP_C | +--->BN_MP_CLAMP_C -+--->BN_MP_CLAMP_C - - -BN_MP_MOD_D_C -+--->BN_MP_DIV_D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_MOD_2D_C ++--->BN_MP_MOD_D_C +| +--->BN_MP_DIV_D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_DIV_3_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C ++--->BN_MP_INIT_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_GROW_C | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C - - -BN_MP_SQR_C -+--->BN_MP_TOOM_SQR_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_ZERO_C ++--->BN_MP_PRIME_MILLER_RABIN_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C +| +--->BN_MP_CNT_LSB_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C +| +--->BN_MP_EXPTMOD_C +| | +--->BN_MP_INVMOD_C +| | | +--->BN_FAST_MP_INVMOD_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_INVMOD_SLOW_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_MOD_C +| | | | | +--->BN_MP_DIV_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_COUNT_BITS_C +| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_CLEAR_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_KARATSUBA_SQR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| +--->BN_MP_ADD_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_C -+--->BN_FAST_S_MP_SQR_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_S_MP_SQR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C - - -BN_MP_MULMOD_C -+--->BN_MP_INIT_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ABS_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_REDUCE_IS_2K_L_C +| | +--->BN_S_MP_EXPTMOD_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_REDUCE_SETUP_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_2K_SETUP_L_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_2K_L_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MOD_C +| | | | +--->BN_MP_DIV_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DR_IS_MODULUS_C +| | +--->BN_MP_REDUCE_IS_2K_C +| | | +--->BN_MP_REDUCE_2K_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_EXPTMOD_FAST_C +| | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_MONTGOMERY_SETUP_C +| | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C -+--->BN_MP_MOD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_MONTGOMERY_REDUCE_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_DR_SETUP_C +| | | +--->BN_MP_DR_REDUCE_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C - - -BN_MP_DIV_2D_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_ZERO_C -+--->BN_MP_INIT_C -+--->BN_MP_MOD_2D_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C -+--->BN_MP_RSHD_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C - - -BN_S_MP_ADD_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_FAST_S_MP_SQR_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_S_MP_MUL_DIGS_C -+--->BN_FAST_S_MP_MUL_DIGS_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_XOR_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_RADIX_SMAP_C - - -BN_MP_DR_IS_MODULUS_C - - -BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_2EXPT_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_GROW_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_MUL_2_C -| +--->BN_MP_GROW_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_SUB_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_INIT_MULTI_C -+--->BN_MP_INIT_C -+--->BN_MP_CLEAR_C - - -BN_S_MP_MUL_HIGH_DIGS_C -+--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_PRIME_NEXT_PRIME_C -+--->BN_MP_CMP_D_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MOD_D_C -| +--->BN_MP_DIV_D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_PRIME_MILLER_RABIN_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_CNT_LSB_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_EXPTMOD_C -| | +--->BN_MP_INVMOD_C -| | | +--->BN_FAST_MP_INVMOD_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_REDUCE_2K_SETUP_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | +--->BN_MP_ABS_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_REDUCE_2K_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | | | +--->BN_MP_2EXPT_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MULMOD_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_COPY_C +| | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_MP_COPY_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C | | | | | | | +--->BN_S_MP_ADD_C | | | | | | | | +--->BN_MP_GROW_C | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | | +--->BN_S_MP_SUB_C | | | | | | | | +--->BN_MP_GROW_C | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_SUB_C | | | | | | | +--->BN_S_MP_ADD_C | | | | | | | | +--->BN_MP_GROW_C | | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | | +--->BN_S_MP_SUB_C | | | | | | | | +--->BN_MP_GROW_C | | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_DIV_2_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_MUL_D_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_ADD_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_INVMOD_SLOW_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_MOD_C | | | | | +--->BN_MP_DIV_C | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_MP_COPY_C | | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_COUNT_BITS_C -| | | | | | +--->BN_MP_ABS_C +| | | | | | +--->BN_MP_INIT_MULTI_C | | | | | | +--->BN_MP_MUL_2D_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_LSHD_C @@ -7608,8 +9464,6 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | | | | +--->BN_MP_GROW_C | | | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | | | +--->BN_MP_CLEAR_C | | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_LSHD_C | | | | | | | +--->BN_MP_GROW_C @@ -7619,8 +9473,7 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLEAR_C -| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_ADD_C | | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C @@ -7629,46 +9482,7 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_DIV_2_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_ABS_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_REDUCE_IS_2K_L_C -| | +--->BN_S_MP_EXPTMOD_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_REDUCE_SETUP_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_MOD_C | | | | +--->BN_MP_DIV_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_MP_COPY_C @@ -7705,100 +9519,163 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_SQR_C +| | | | +--->BN_MP_TOOM_SQR_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SQR_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_DIV_3_C | | | | | | +--->BN_MP_INIT_SIZE_C | | | | | | +--->BN_MP_CLAMP_C | | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_S_MP_MUL_HIGH_DIGS_C -| | | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_KARATSUBA_MUL_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| +--->BN_MP_CMP_C +| | +--->BN_MP_CMP_MAG_C +| +--->BN_MP_SQRMOD_C +| | +--->BN_MP_SQR_C +| | | +--->BN_MP_TOOM_SQR_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_MOD_2D_C | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_COPY_C | | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_SUB_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -7806,9 +9683,7 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C @@ -7816,290 +9691,475 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_DIV_2_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_SETUP_L_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2D_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_L_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_KARATSUBA_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_FAST_S_MP_SQR_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SQR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C + + +BN_MP_TOOM_MUL_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_MOD_2D_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C ++--->BN_MP_MUL_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_MUL_2_C +| +--->BN_MP_GROW_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_3_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C + + +BN_MP_CNT_LSB_C + + +BN_MP_CLAMP_C + + +BN_MP_SUB_D_C ++--->BN_MP_GROW_C ++--->BN_MP_ADD_D_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLAMP_C + + +BN_MP_ADD_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C + + +BN_MP_REDUCE_2K_C ++--->BN_MP_INIT_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_REDUCE_C ++--->BN_MP_REDUCE_SETUP_C +| +--->BN_MP_2EXPT_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_INIT_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C ++--->BN_MP_MUL_C +| +--->BN_MP_TOOM_MUL_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_KARATSUBA_MUL_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_S_MP_MUL_HIGH_DIGS_C +| +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MOD_2D_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_S_MP_MUL_DIGS_C +| +--->BN_FAST_S_MP_MUL_DIGS_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_D_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CMP_C +| +--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C + + +BN_MP_EXPTMOD_C ++--->BN_MP_INIT_C ++--->BN_MP_INVMOD_C +| +--->BN_FAST_MP_INVMOD_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_SQR_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C -| | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DR_IS_MODULUS_C -| | +--->BN_MP_REDUCE_IS_2K_C -| | | +--->BN_MP_REDUCE_2K_C -| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C @@ -8107,369 +10167,192 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_EXPTMOD_FAST_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_MONTGOMERY_SETUP_C -| | | +--->BN_FAST_MP_MONTGOMERY_REDUCE_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_MONTGOMERY_REDUCE_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_DR_SETUP_C -| | | +--->BN_MP_DR_REDUCE_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CMP_D_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_REDUCE_2K_SETUP_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_REDUCE_2K_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -| | | | +--->BN_MP_2EXPT_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_MUL_2_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MULMOD_C -| | | | +--->BN_MP_MUL_C -| | | | | +--->BN_MP_TOOM_MUL_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MOD_2D_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | | +--->BN_MP_COPY_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_MUL_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_2_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_DIV_3_C -| | | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_MOD_C -| | | | | +--->BN_MP_DIV_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_MP_COPY_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_INIT_MULTI_C -| | | | | | +--->BN_MP_MUL_2D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_LSHD_C -| | | | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_C -| | | | | | +--->BN_MP_SUB_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_ADD_C -| | | | | | | +--->BN_S_MP_ADD_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | | +--->BN_S_MP_SUB_C -| | | | | | | | +--->BN_MP_GROW_C -| | | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_MUL_D_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MOD_C -| | | | +--->BN_MP_DIV_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_MP_COPY_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_MP_INVMOD_SLOW_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_SQR_C -| | | | +--->BN_MP_TOOM_SQR_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_RSHD_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_FAST_S_MP_SQR_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SQR_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_MUL_C -| | | | +--->BN_MP_TOOM_MUL_C -| | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_MOD_2D_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CMP_D_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C ++--->BN_MP_ABS_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_CLEAR_MULTI_C ++--->BN_MP_REDUCE_IS_2K_L_C ++--->BN_S_MP_EXPTMOD_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_REDUCE_SETUP_C +| | +--->BN_MP_2EXPT_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C -| | | | | +--->BN_MP_MUL_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_2_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_2D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_MUL_D_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_DIV_3_C -| | | | | | +--->BN_MP_INIT_SIZE_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_KARATSUBA_MUL_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_MUL_DIGS_C -| | | | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_EXCH_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_MP_SQRMOD_C -| | +--->BN_MP_SQR_C -| | | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_REDUCE_C +| | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C | | | | +--->BN_MP_INIT_MULTI_C -| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_MOD_2D_C | | | | | +--->BN_MP_ZERO_C | | | | | +--->BN_MP_COPY_C @@ -8477,8 +10360,6 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_COPY_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_MUL_2_C | | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C @@ -8511,868 +10392,627 @@ BN_MP_PRIME_NEXT_PRIME_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_EXCH_C -| | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_KARATSUBA_MUL_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_FAST_S_MP_SQR_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SQR_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_C -| | | +--->BN_MP_DIV_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_COUNT_BITS_C -| | | | +--->BN_MP_ABS_C -| | | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_LSHD_C -| | | | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_MUL_D_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C - - -BN_MP_SIGNED_BIN_SIZE_C -+--->BN_MP_UNSIGNED_BIN_SIZE_C -| +--->BN_MP_COUNT_BITS_C - - -BN_MP_INVMOD_SLOW_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_MOD_C -| +--->BN_MP_INIT_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_S_MP_MUL_HIGH_DIGS_C +| | | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_DIV_2_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_MP_CMP_D_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C - - -BN_MP_LCM_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_GCD_C -| +--->BN_MP_ABS_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_CNT_LSB_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_EXCH_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_DIV_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_SET_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_INIT_COPY_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_SUB_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C +| | +--->BN_MP_CMP_D_C +| | +--->BN_MP_SET_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C +| | +--->BN_MP_CMP_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C +| +--->BN_MP_REDUCE_2K_SETUP_L_C +| | +--->BN_MP_2EXPT_C +| | | +--->BN_MP_ZERO_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C +| +--->BN_MP_REDUCE_2K_L_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_SET_C +| | | +--->BN_MP_MUL_2D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C - - -BN_MP_REDUCE_2K_L_C -+--->BN_MP_INIT_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_CLAMP_C | +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | +--->BN_FAST_S_MP_SQR_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C +| | +--->BN_S_MP_SQR_C | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C +| +--->BN_MP_MUL_C +| | +--->BN_MP_TOOM_MUL_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MUL_2_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_REVERSE_C - - -BN_MP_PRIME_IS_DIVISIBLE_C -+--->BN_MP_MOD_D_C -| +--->BN_MP_DIV_D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_DIV_3_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_KARATSUBA_MUL_C | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C - - -BN_MP_SET_C -+--->BN_MP_ZERO_C - - -BN_MP_GCD_C -+--->BN_MP_ABS_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_ZERO_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_CNT_LSB_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_EXCH_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MUL_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_MP_REDUCE_2K_SETUP_L_C -+--->BN_MP_INIT_C -+--->BN_MP_2EXPT_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_GROW_C -+--->BN_MP_COUNT_BITS_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_MP_READ_RADIX_C -+--->BN_MP_ZERO_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C - - -BN_FAST_S_MP_MUL_HIGH_DIGS_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_FAST_MP_MONTGOMERY_REDUCE_C -+--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C -+--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C - - -BN_MP_DIV_D_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_DIV_3_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_MUL_DIGS_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C | +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_REDUCE_2K_SETUP_C -+--->BN_MP_INIT_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_2EXPT_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_GROW_C -+--->BN_MP_CLEAR_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_INIT_SET_C -+--->BN_MP_INIT_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C - - -BN_MP_REDUCE_2K_C -+--->BN_MP_INIT_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C ++--->BN_MP_DR_IS_MODULUS_C ++--->BN_MP_REDUCE_IS_2K_C +| +--->BN_MP_REDUCE_2K_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_COUNT_BITS_C ++--->BN_MP_EXPTMOD_FAST_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_MONTGOMERY_SETUP_C +| +--->BN_FAST_MP_MONTGOMERY_REDUCE_C | | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_ERROR_C - - -BN_MP_EXPT_D_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| +--->BN_MP_MONTGOMERY_REDUCE_C | | +--->BN_MP_GROW_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| +--->BN_MP_DR_SETUP_C +| +--->BN_MP_DR_REDUCE_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| +--->BN_MP_REDUCE_2K_SETUP_C +| | +--->BN_MP_2EXPT_C | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_REDUCE_2K_C +| | +--->BN_MP_DIV_2D_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MUL_D_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_MONTGOMERY_CALC_NORMALIZATION_C +| | +--->BN_MP_2EXPT_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_SET_C | | | +--->BN_MP_ZERO_C | | +--->BN_MP_MUL_2_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_MULMOD_C +| | +--->BN_MP_MUL_C +| | | +--->BN_MP_TOOM_MUL_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_COPY_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MUL_2_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_3_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_KARATSUBA_MUL_C +| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | +--->BN_FAST_S_MP_MUL_DIGS_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_MOD_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | +--->BN_MP_SET_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_SUB_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_MUL_D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| +--->BN_MP_SET_C +| | +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_C +| | +--->BN_MP_DIV_C | | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_SQR_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_CLEAR_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_MUL_2D_C | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_EXCH_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C - - -BN_S_MP_EXPTMOD_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_INIT_C -+--->BN_MP_CLEAR_C -+--->BN_MP_REDUCE_SETUP_C -| +--->BN_MP_2EXPT_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_COPY_C | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_REDUCE_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_C -| | +--->BN_MP_TOOM_MUL_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_SQR_C +| | +--->BN_MP_TOOM_SQR_C | | | +--->BN_MP_INIT_MULTI_C | | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_MUL_2_C | | | | +--->BN_MP_GROW_C | | | +--->BN_MP_ADD_C @@ -9407,106 +11047,32 @@ BN_S_MP_EXPTMOD_C | | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_KARATSUBA_MUL_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C +| | +--->BN_MP_KARATSUBA_SQR_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_ADD_C +| | | | +--->BN_MP_CMP_MAG_C +| | +--->BN_FAST_S_MP_SQR_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_MUL_DIGS_C +| | +--->BN_S_MP_SQR_C | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| +--->BN_S_MP_MUL_HIGH_DIGS_C -| | +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_FAST_S_MP_MUL_DIGS_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_D_C -| +--->BN_MP_SET_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| | +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_REDUCE_2K_SETUP_L_C -| +--->BN_MP_2EXPT_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_GROW_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_REDUCE_2K_L_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C | +--->BN_MP_MUL_C | | +--->BN_MP_TOOM_MUL_C | | | +--->BN_MP_INIT_MULTI_C | | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_MUL_2_C @@ -9543,22 +11109,17 @@ BN_S_MP_EXPTMOD_C | | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C | | +--->BN_MP_KARATSUBA_MUL_C | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CMP_MAG_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_RSHD_C @@ -9570,143 +11131,90 @@ BN_S_MP_EXPTMOD_C | | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C + + +BN_MP_LSHD_C ++--->BN_MP_GROW_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C + + +BN_MP_ADD_D_C ++--->BN_MP_GROW_C ++--->BN_MP_SUB_D_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLAMP_C + + +BN_MP_GET_LONG_C + + +BN_MP_GET_LONG_LONG_C + + +BN_MP_CLEAR_C + + +BN_MP_EXTEUCLID_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_SET_C +| +--->BN_MP_ZERO_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_DIV_C | +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_ABS_C +| +--->BN_MP_MUL_2D_C | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -+--->BN_MP_MOD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C +| +--->BN_MP_CMP_C +| +--->BN_MP_SUB_C +| | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C | +--->BN_MP_ADD_C | | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C | | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_SQR_C -| +--->BN_MP_TOOM_SQR_C -| | +--->BN_MP_INIT_MULTI_C +| +--->BN_MP_DIV_2D_C +| | +--->BN_MP_INIT_C | | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLEAR_C | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_KARATSUBA_SQR_C -| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | +--->BN_MP_ADD_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_EXCH_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_INIT_C +| +--->BN_MP_INIT_COPY_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_MUL_D_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SQR_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_CLEAR_C +--->BN_MP_MUL_C | +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_CLAMP_C @@ -9742,76 +11250,63 @@ BN_S_MP_EXPTMOD_C | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_DIV_3_C | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C | +--->BN_MP_KARATSUBA_MUL_C | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C | | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLEAR_C | +--->BN_FAST_S_MP_MUL_DIGS_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C | +--->BN_S_MP_MUL_DIGS_C | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_EXCH_C - - -BN_MP_ABS_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C - - -BN_MP_INIT_SET_INT_C -+--->BN_MP_INIT_C -+--->BN_MP_SET_INT_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C - - -BN_MP_SUB_D_C -+--->BN_MP_GROW_C -+--->BN_MP_ADD_D_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_NEG_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_MULTI_C +| +--->BN_MP_CLEAR_C -BN_MP_TO_SIGNED_BIN_C -+--->BN_MP_TO_UNSIGNED_BIN_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C +BN_MP_TORADIX_N_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_DIV_D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C | +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C | | +--->BN_MP_ZERO_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C @@ -9819,21 +11314,28 @@ BN_MP_TO_SIGNED_BIN_C | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C | +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C -BN_MP_DIV_2_C -+--->BN_MP_GROW_C -+--->BN_MP_CLAMP_C - - -BN_MP_REDUCE_IS_2K_C -+--->BN_MP_REDUCE_2K_C -| +--->BN_MP_INIT_C -| +--->BN_MP_COUNT_BITS_C +BN_MP_RADIX_SIZE_C ++--->BN_MP_COUNT_BITS_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C ++--->BN_MP_DIV_D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C | +--->BN_MP_DIV_2D_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C | | +--->BN_MP_ZERO_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_CLAMP_C @@ -9841,185 +11343,85 @@ BN_MP_REDUCE_IS_2K_C | | +--->BN_MP_RSHD_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_3_C +| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C | +--->BN_MP_CLEAR_C -+--->BN_MP_COUNT_BITS_C - - -BN_MP_INIT_SIZE_C -+--->BN_MP_INIT_C ++--->BN_MP_CLEAR_C -BN_MP_DIV_C -+--->BN_MP_CMP_MAG_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_ZERO_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_SET_C -+--->BN_MP_COUNT_BITS_C -+--->BN_MP_ABS_C -+--->BN_MP_MUL_2D_C +BN_S_MP_MUL_HIGH_DIGS_C ++--->BN_FAST_S_MP_MUL_HIGH_DIGS_C | +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_INIT_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_MULTI_C -| +--->BN_MP_CLEAR_C +--->BN_MP_INIT_SIZE_C | +--->BN_MP_INIT_C -+--->BN_MP_INIT_C -+--->BN_MP_INIT_COPY_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -+--->BN_MP_RSHD_C -+--->BN_MP_MUL_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C +--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C +--->BN_MP_CLEAR_C -BN_MP_CLEAR_C - - -BN_MP_MONTGOMERY_REDUCE_C -+--->BN_FAST_MP_MONTGOMERY_REDUCE_C +BN_MP_SET_INT_C ++--->BN_MP_ZERO_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C | +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C +| +--->BN_MP_LSHD_C +| | +--->BN_MP_RSHD_C | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -+--->BN_MP_GROW_C +--->BN_MP_CLAMP_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -BN_MP_MUL_2_C -+--->BN_MP_GROW_C +BN_MP_DR_SETUP_C -BN_MP_UNSIGNED_BIN_SIZE_C -+--->BN_MP_COUNT_BITS_C +BN_MP_MUL_2_C ++--->BN_MP_GROW_C -BN_MP_ADDMOD_C -+--->BN_MP_INIT_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C -+--->BN_MP_MOD_C -| +--->BN_MP_DIV_C -| | +--->BN_MP_CMP_MAG_C +BN_MP_FWRITE_C ++--->BN_MP_RADIX_SIZE_C +| +--->BN_MP_COUNT_BITS_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_SET_C -| | +--->BN_MP_COUNT_BITS_C -| | +--->BN_MP_ABS_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_GROW_C +| +--->BN_MP_DIV_D_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C | | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_ZERO_C | | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_TORADIX_C +| +--->BN_MP_INIT_COPY_C | | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C +| +--->BN_MP_DIV_D_C +| | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C - - -BN_MP_ADD_C -+--->BN_S_MP_ADD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C - - -BN_MP_TO_SIGNED_BIN_N_C -+--->BN_MP_SIGNED_BIN_SIZE_C -| +--->BN_MP_UNSIGNED_BIN_SIZE_C -| | +--->BN_MP_COUNT_BITS_C -+--->BN_MP_TO_SIGNED_BIN_C -| +--->BN_MP_TO_UNSIGNED_BIN_C -| | +--->BN_MP_INIT_COPY_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C | | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C @@ -10027,71 +11429,92 @@ BN_MP_TO_SIGNED_BIN_N_C | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_C +| +--->BN_MP_CLEAR_C -BN_MP_REDUCE_IS_2K_L_C +BN_MP_GROW_C -BN_MP_RAND_C +BN_MP_READ_RADIX_C +--->BN_MP_ZERO_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C +--->BN_MP_ADD_D_C | +--->BN_MP_GROW_C | +--->BN_MP_SUB_D_C | | +--->BN_MP_CLAMP_C | +--->BN_MP_CLAMP_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C - -BN_MP_CNT_LSB_C - - -BN_MP_2EXPT_C -+--->BN_MP_ZERO_C -+--->BN_MP_GROW_C - -BN_MP_RSHD_C -+--->BN_MP_ZERO_C +BN_S_MP_MUL_DIGS_C ++--->BN_FAST_S_MP_MUL_DIGS_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C ++--->BN_MP_CLAMP_C ++--->BN_MP_EXCH_C ++--->BN_MP_CLEAR_C -BN_MP_SHRINK_C +BN_PRIME_TAB_C -BN_MP_TO_UNSIGNED_BIN_N_C -+--->BN_MP_UNSIGNED_BIN_SIZE_C -| +--->BN_MP_COUNT_BITS_C -+--->BN_MP_TO_UNSIGNED_BIN_C -| +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_DIV_2D_C +BN_MP_IS_SQUARE_C ++--->BN_MP_MOD_D_C +| +--->BN_MP_DIV_D_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_MOD_2D_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C - - -BN_MP_REDUCE_C -+--->BN_MP_REDUCE_SETUP_C -| +--->BN_MP_2EXPT_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_INIT_SET_INT_C +| +--->BN_MP_INIT_C +| +--->BN_MP_SET_INT_C | | +--->BN_MP_ZERO_C -| | +--->BN_MP_GROW_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_MOD_C +| +--->BN_MP_INIT_C | +--->BN_MP_DIV_C | | +--->BN_MP_CMP_MAG_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_ZERO_C | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_SET_C | | +--->BN_MP_COUNT_BITS_C @@ -10117,7 +11540,6 @@ BN_MP_REDUCE_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_DIV_2D_C -| | | +--->BN_MP_INIT_C | | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C | | | +--->BN_MP_CLEAR_C @@ -10128,185 +11550,310 @@ BN_MP_REDUCE_C | | +--->BN_MP_CLEAR_MULTI_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_INIT_COPY_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_MUL_2_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_D_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_S_MP_MUL_HIGH_DIGS_C -| +--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C -+--->BN_FAST_S_MP_MUL_HIGH_DIGS_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_MOD_2D_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_S_MP_MUL_DIGS_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_INIT_SIZE_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C | +--->BN_MP_CLEAR_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_D_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -+--->BN_MP_ADD_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_C -| +--->BN_MP_CMP_MAG_C -+--->BN_S_MP_SUB_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CLEAR_C - - -BN_MP_MUL_2D_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_GROW_C -+--->BN_MP_LSHD_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -+--->BN_MP_CLAMP_C - - -BN_MP_GET_INT_C - - -BN_MP_JACOBI_C -+--->BN_MP_CMP_D_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_CNT_LSB_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C ++--->BN_MP_GET_INT_C ++--->BN_MP_SQRT_C +| +--->BN_MP_N_ROOT_C +| | +--->BN_MP_N_ROOT_EX_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_SET_C +| | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_EXPT_D_EX_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_MUL_C +| | | | | +--->BN_MP_TOOM_MUL_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_SQR_C +| | | | | +--->BN_MP_TOOM_SQR_C +| | | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_MUL_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_SUB_C +| | | | | | | +--->BN_S_MP_ADD_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | | +--->BN_S_MP_SUB_C +| | | | | | | | +--->BN_MP_GROW_C +| | | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_2_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_2D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_MUL_D_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_DIV_3_C +| | | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_KARATSUBA_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_RSHD_C +| | | | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_ADD_C +| | | | | | | +--->BN_MP_CMP_MAG_C +| | | | | +--->BN_FAST_S_MP_SQR_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SQR_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_MUL_C +| | | | +--->BN_MP_TOOM_MUL_C +| | | | | +--->BN_MP_INIT_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_MUL_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_SUB_C +| | | | | | +--->BN_S_MP_ADD_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_2D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_MUL_D_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_3_C +| | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_KARATSUBA_MUL_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_ADD_C +| | | | | | +--->BN_MP_CMP_MAG_C +| | | | | | +--->BN_S_MP_SUB_C +| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | | +--->BN_MP_ZERO_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_FAST_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_S_MP_MUL_DIGS_C +| | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_SUB_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_MUL_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_DIV_C +| | | | +--->BN_MP_CMP_MAG_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_INIT_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_COUNT_BITS_C +| | | | +--->BN_MP_ABS_C +| | | | +--->BN_MP_MUL_2D_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_LSHD_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_ADD_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_CLEAR_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_EXCH_C +| | | | +--->BN_MP_CLEAR_MULTI_C +| | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_LSHD_C +| | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CMP_C +| | | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_MP_SUB_D_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ADD_D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C | +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C +| +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C | +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_MOD_C | +--->BN_MP_DIV_C | | +--->BN_MP_CMP_MAG_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ZERO_C | | +--->BN_MP_INIT_MULTI_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_SET_C @@ -10315,7 +11862,6 @@ BN_MP_JACOBI_C | | +--->BN_MP_MUL_2D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CMP_C | | +--->BN_MP_SUB_C @@ -10332,182 +11878,49 @@ BN_MP_JACOBI_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_CLEAR_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C | | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_MULTI_C | | | +--->BN_MP_CLEAR_C | | +--->BN_MP_INIT_SIZE_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_RSHD_C | | +--->BN_MP_MUL_D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -+--->BN_MP_CLEAR_C - - -BN_MP_CLEAR_MULTI_C -+--->BN_MP_CLEAR_C - - -BN_MP_MUL_C -+--->BN_MP_TOOM_MUL_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_ZERO_C -| | +--->BN_MP_COPY_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C -| +--->BN_MP_MUL_2_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_3_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_KARATSUBA_MUL_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | +--->BN_MP_CMP_MAG_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| +--->BN_MP_CLEAR_C -+--->BN_FAST_S_MP_MUL_DIGS_C -| +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_S_MP_MUL_DIGS_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_C - - -BN_MP_EXTEUCLID_C -+--->BN_MP_INIT_MULTI_C -| +--->BN_MP_INIT_C -| +--->BN_MP_CLEAR_C -+--->BN_MP_SET_C -| +--->BN_MP_ZERO_C -+--->BN_MP_COPY_C -| +--->BN_MP_GROW_C -+--->BN_MP_DIV_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C | +--->BN_MP_ADD_C | | +--->BN_S_MP_ADD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_INIT_COPY_C -| +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_MUL_D_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| +--->BN_MP_DIV_2_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_MP_EXCH_C | +--->BN_MP_CLEAR_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLEAR_C | | +--->BN_MP_MOD_2D_C | | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C | | +--->BN_MP_RSHD_C | | | +--->BN_MP_ZERO_C | | +--->BN_MP_MUL_2_C @@ -10548,36 +11961,84 @@ BN_MP_EXTEUCLID_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_CLEAR_MULTI_C | | | +--->BN_MP_CLEAR_C -| +--->BN_MP_KARATSUBA_MUL_C +| +--->BN_MP_KARATSUBA_SQR_C | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C | | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C | | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C +| +--->BN_FAST_S_MP_SQR_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_CLEAR_C + + +BN_MP_COPY_C ++--->BN_MP_GROW_C + + +BN_MP_TOOM_SQR_C ++--->BN_MP_INIT_MULTI_C +| +--->BN_MP_INIT_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_MOD_2D_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C ++--->BN_MP_SQR_C +| +--->BN_MP_KARATSUBA_SQR_C +| | +--->BN_MP_INIT_SIZE_C +| | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_S_MP_SUB_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_S_MP_SQR_C | | +--->BN_MP_INIT_SIZE_C | | | +--->BN_MP_INIT_C | | +--->BN_MP_CLAMP_C | | +--->BN_MP_EXCH_C | | +--->BN_MP_CLEAR_C ++--->BN_MP_MUL_2_C +| +--->BN_MP_GROW_C ++--->BN_MP_ADD_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +--->BN_MP_SUB_C | +--->BN_S_MP_ADD_C | | +--->BN_MP_GROW_C @@ -10586,207 +12047,269 @@ BN_MP_EXTEUCLID_C | +--->BN_S_MP_SUB_C | | +--->BN_MP_GROW_C | | +--->BN_MP_CLAMP_C -+--->BN_MP_NEG_C -+--->BN_MP_EXCH_C ++--->BN_MP_DIV_2_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_LSHD_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_D_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_DIV_3_C +| +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_C +| +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C ++--->BN_MP_LSHD_C +| +--->BN_MP_GROW_C +--->BN_MP_CLEAR_MULTI_C | +--->BN_MP_CLEAR_C -BN_MP_DR_REDUCE_C -+--->BN_MP_GROW_C +BN_MP_KARATSUBA_SQR_C ++--->BN_MP_INIT_SIZE_C +| +--->BN_MP_INIT_C +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_MAG_C ++--->BN_MP_SQR_C +| +--->BN_MP_TOOM_SQR_C +| | +--->BN_MP_INIT_MULTI_C +| | | +--->BN_MP_INIT_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_MOD_2D_C +| | | +--->BN_MP_ZERO_C +| | | +--->BN_MP_COPY_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_RSHD_C +| | | +--->BN_MP_ZERO_C +| | +--->BN_MP_MUL_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ADD_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CMP_MAG_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_3_C +| | | +--->BN_MP_EXCH_C +| | | +--->BN_MP_CLEAR_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLEAR_MULTI_C +| | | +--->BN_MP_CLEAR_C +| +--->BN_FAST_S_MP_SQR_C +| | +--->BN_MP_GROW_C +| +--->BN_S_MP_SQR_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_C ++--->BN_S_MP_ADD_C +| +--->BN_MP_GROW_C +--->BN_S_MP_SUB_C - - -BN_MP_FREAD_C -+--->BN_MP_ZERO_C -+--->BN_MP_MUL_D_C | +--->BN_MP_GROW_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_ADD_D_C ++--->BN_MP_LSHD_C | +--->BN_MP_GROW_C -| +--->BN_MP_SUB_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CMP_D_C +| +--->BN_MP_RSHD_C +| | +--->BN_MP_ZERO_C ++--->BN_MP_ADD_C +| +--->BN_MP_CMP_MAG_C ++--->BN_MP_CLEAR_C -BN_MP_REDUCE_SETUP_C -+--->BN_MP_2EXPT_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_GROW_C -+--->BN_MP_DIV_C -| +--->BN_MP_CMP_MAG_C +BN_MP_GCD_C ++--->BN_MP_ABS_C | +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_INIT_MULTI_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_SET_C -| +--->BN_MP_COUNT_BITS_C -| +--->BN_MP_ABS_C -| +--->BN_MP_MUL_2D_C ++--->BN_MP_INIT_COPY_C +| +--->BN_MP_INIT_SIZE_C +| +--->BN_MP_COPY_C | | +--->BN_MP_GROW_C -| | +--->BN_MP_LSHD_C -| | | +--->BN_MP_RSHD_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CMP_C -| +--->BN_MP_SUB_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_ADD_C -| | +--->BN_S_MP_ADD_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SUB_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| +--->BN_MP_DIV_2D_C -| | +--->BN_MP_INIT_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_CLEAR_C -| | +--->BN_MP_RSHD_C ++--->BN_MP_CNT_LSB_C ++--->BN_MP_DIV_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_MOD_2D_C | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C +| +--->BN_MP_CLEAR_C +| +--->BN_MP_RSHD_C +| +--->BN_MP_CLAMP_C | +--->BN_MP_EXCH_C -| +--->BN_MP_CLEAR_MULTI_C -| | +--->BN_MP_CLEAR_C -| +--->BN_MP_INIT_SIZE_C -| | +--->BN_MP_INIT_C -| +--->BN_MP_INIT_C -| +--->BN_MP_INIT_COPY_C ++--->BN_MP_CMP_MAG_C ++--->BN_MP_EXCH_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_MUL_2D_C +| +--->BN_MP_COPY_C +| | +--->BN_MP_GROW_C +| +--->BN_MP_GROW_C | +--->BN_MP_LSHD_C -| | +--->BN_MP_GROW_C | | +--->BN_MP_RSHD_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_MUL_D_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_ZERO_C | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C ++--->BN_MP_CLEAR_C -BN_MP_MONTGOMERY_SETUP_C +BN_MP_MOD_2D_C ++--->BN_MP_ZERO_C ++--->BN_MP_COPY_C +| +--->BN_MP_GROW_C ++--->BN_MP_CLAMP_C -BN_MP_KARATSUBA_MUL_C -+--->BN_MP_MUL_C -| +--->BN_MP_TOOM_MUL_C -| | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_INIT_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_MOD_2D_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C +BN_FAST_MP_MONTGOMERY_REDUCE_C ++--->BN_MP_GROW_C ++--->BN_MP_RSHD_C +| +--->BN_MP_ZERO_C ++--->BN_MP_CLAMP_C ++--->BN_MP_CMP_MAG_C ++--->BN_S_MP_SUB_C + + +BN_MP_SUBMOD_C ++--->BN_MP_INIT_C ++--->BN_MP_SUB_C +| +--->BN_S_MP_ADD_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_CMP_MAG_C +| +--->BN_S_MP_SUB_C +| | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_RSHD_C -| | | +--->BN_MP_ZERO_C -| | +--->BN_MP_MUL_2_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C | | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C | | +--->BN_MP_ADD_C | | | +--->BN_S_MP_ADD_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C | | | +--->BN_S_MP_SUB_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_SUB_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C | | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_2_C -| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C | | +--->BN_MP_MUL_D_C | | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_DIV_3_C -| | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_INIT_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C +| +--->BN_MP_ADD_C +| | +--->BN_S_MP_ADD_C +| | | +--->BN_MP_GROW_C | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_LSHD_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_S_MP_SUB_C | | | +--->BN_MP_GROW_C -| | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_FAST_S_MP_MUL_DIGS_C -| | +--->BN_MP_GROW_C -| | +--->BN_MP_CLAMP_C -| +--->BN_S_MP_MUL_DIGS_C -| | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_INIT_C -| | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C -| | +--->BN_MP_CLEAR_C -+--->BN_MP_INIT_SIZE_C -| +--->BN_MP_INIT_C -+--->BN_MP_CLAMP_C -+--->BN_MP_SUB_C -| +--->BN_S_MP_ADD_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_CMP_MAG_C -| +--->BN_S_MP_SUB_C -| | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C + + +BN_MP_GET_INT_C + + +BN_MP_SET_LONG_C + + +BN_MP_ADDMOD_C ++--->BN_MP_INIT_C +--->BN_MP_ADD_C | +--->BN_S_MP_ADD_C | | +--->BN_MP_GROW_C +| | +--->BN_MP_CLAMP_C | +--->BN_MP_CMP_MAG_C | +--->BN_S_MP_SUB_C | | +--->BN_MP_GROW_C -+--->BN_MP_LSHD_C -| +--->BN_MP_GROW_C -| +--->BN_MP_RSHD_C -| | +--->BN_MP_ZERO_C +| | +--->BN_MP_CLAMP_C +--->BN_MP_CLEAR_C ++--->BN_MP_MOD_C +| +--->BN_MP_DIV_C +| | +--->BN_MP_CMP_MAG_C +| | +--->BN_MP_COPY_C +| | | +--->BN_MP_GROW_C +| | +--->BN_MP_ZERO_C +| | +--->BN_MP_INIT_MULTI_C +| | +--->BN_MP_SET_C +| | +--->BN_MP_COUNT_BITS_C +| | +--->BN_MP_ABS_C +| | +--->BN_MP_MUL_2D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_LSHD_C +| | | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CMP_C +| | +--->BN_MP_SUB_C +| | | +--->BN_S_MP_ADD_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_S_MP_SUB_C +| | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_DIV_2D_C +| | | +--->BN_MP_MOD_2D_C +| | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_RSHD_C +| | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C +| | +--->BN_MP_EXCH_C +| | +--->BN_MP_CLEAR_MULTI_C +| | +--->BN_MP_INIT_SIZE_C +| | +--->BN_MP_INIT_COPY_C +| | +--->BN_MP_LSHD_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_RSHD_C +| | +--->BN_MP_RSHD_C +| | +--->BN_MP_MUL_D_C +| | | +--->BN_MP_GROW_C +| | | +--->BN_MP_CLAMP_C +| | +--->BN_MP_CLAMP_C +| +--->BN_MP_EXCH_C -BN_MP_LSHD_C -+--->BN_MP_GROW_C -+--->BN_MP_RSHD_C -| +--->BN_MP_ZERO_C - - -BN_MP_PRIME_MILLER_RABIN_C +BN_MP_PRIME_FERMAT_C +--->BN_MP_CMP_D_C -+--->BN_MP_INIT_COPY_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -+--->BN_MP_SUB_D_C -| +--->BN_MP_GROW_C -| +--->BN_MP_ADD_D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLAMP_C -+--->BN_MP_CNT_LSB_C -+--->BN_MP_DIV_2D_C -| +--->BN_MP_COPY_C -| | +--->BN_MP_GROW_C -| +--->BN_MP_ZERO_C -| +--->BN_MP_MOD_2D_C -| | +--->BN_MP_CLAMP_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_RSHD_C -| +--->BN_MP_CLAMP_C -| +--->BN_MP_EXCH_C ++--->BN_MP_INIT_C +--->BN_MP_EXPTMOD_C | +--->BN_MP_INVMOD_C | | +--->BN_FAST_MP_INVMOD_C @@ -10821,10 +12344,18 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_CLEAR_MULTI_C | | | | | | +--->BN_MP_CLEAR_C | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -10835,6 +12366,7 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C @@ -10843,7 +12375,6 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_SET_C | | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_DIV_2_C @@ -10902,10 +12433,18 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_CLEAR_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_CLEAR_MULTI_C | | | | | | +--->BN_MP_CLEAR_C | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -10916,6 +12455,7 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLEAR_C | | | | +--->BN_MP_CLEAR_C +| | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C @@ -10924,7 +12464,6 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_COPY_C | | | | +--->BN_MP_GROW_C | | | +--->BN_MP_SET_C @@ -10993,8 +12532,15 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C @@ -11004,6 +12550,10 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_REDUCE_C +| | | +--->BN_MP_INIT_COPY_C +| | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C | | | +--->BN_MP_RSHD_C | | | | +--->BN_MP_ZERO_C | | | +--->BN_MP_MUL_C @@ -11053,18 +12603,14 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_MP_KARATSUBA_MUL_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | +--->BN_FAST_S_MP_MUL_DIGS_C @@ -11129,6 +12675,15 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_REDUCE_2K_L_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_MUL_C | | | | +--->BN_MP_TOOM_MUL_C | | | | | +--->BN_MP_INIT_MULTI_C @@ -11178,18 +12733,14 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_MP_KARATSUBA_MUL_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -11236,8 +12787,15 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C @@ -11246,6 +12804,7 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C | | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C @@ -11254,7 +12813,6 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_SQR_C @@ -11302,22 +12860,16 @@ BN_MP_PRIME_MILLER_RABIN_C | | | +--->BN_MP_KARATSUBA_SQR_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C | | | +--->BN_FAST_S_MP_SQR_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -11370,18 +12922,14 @@ BN_MP_PRIME_MILLER_RABIN_C | | | +--->BN_MP_KARATSUBA_MUL_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C @@ -11400,6 +12948,15 @@ BN_MP_PRIME_MILLER_RABIN_C | +--->BN_MP_REDUCE_IS_2K_C | | +--->BN_MP_REDUCE_2K_C | | | +--->BN_MP_COUNT_BITS_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -11442,6 +12999,15 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C | | +--->BN_MP_REDUCE_2K_C +| | | +--->BN_MP_DIV_2D_C +| | | | +--->BN_MP_COPY_C +| | | | | +--->BN_MP_GROW_C +| | | | +--->BN_MP_ZERO_C +| | | | +--->BN_MP_MOD_2D_C +| | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_RSHD_C +| | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | +--->BN_MP_MUL_D_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -11514,18 +13080,14 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_MP_KARATSUBA_MUL_C | | | | | +--->BN_MP_INIT_SIZE_C | | | | | +--->BN_MP_CLAMP_C -| | | | | +--->BN_MP_SUB_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C -| | | | | | +--->BN_MP_CMP_MAG_C -| | | | | | +--->BN_S_MP_SUB_C -| | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_ADD_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_ADD_C -| | | | | | +--->BN_S_MP_ADD_C -| | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CMP_MAG_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C +| | | | | +--->BN_S_MP_SUB_C +| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -11565,8 +13127,15 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | | +--->BN_S_MP_SUB_C | | | | | | | +--->BN_MP_GROW_C | | | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_DIV_2D_C +| | | | | | +--->BN_MP_MOD_2D_C +| | | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_RSHD_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_EXCH_C | | | | | +--->BN_MP_INIT_SIZE_C +| | | | | +--->BN_MP_INIT_COPY_C | | | | | +--->BN_MP_LSHD_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_RSHD_C @@ -11575,6 +13144,7 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_S_MP_ADD_C | | | | | | +--->BN_MP_GROW_C @@ -11583,7 +13153,6 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C | | +--->BN_MP_SET_C | | | +--->BN_MP_ZERO_C | | +--->BN_MP_MOD_C @@ -11613,8 +13182,15 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C | | | | | | +--->BN_MP_CLAMP_C +| | | | +--->BN_MP_DIV_2D_C +| | | | | +--->BN_MP_MOD_2D_C +| | | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_RSHD_C +| | | | | +--->BN_MP_CLAMP_C +| | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_EXCH_C | | | | +--->BN_MP_INIT_SIZE_C +| | | | +--->BN_MP_INIT_COPY_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C @@ -11623,6 +13199,7 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C | | | | +--->BN_MP_CLAMP_C +| | | +--->BN_MP_EXCH_C | | | +--->BN_MP_ADD_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C @@ -11631,7 +13208,6 @@ BN_MP_PRIME_MILLER_RABIN_C | | | | +--->BN_S_MP_SUB_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C | | +--->BN_MP_COPY_C | | | +--->BN_MP_GROW_C | | +--->BN_MP_SQR_C @@ -11679,22 +13255,16 @@ BN_MP_PRIME_MILLER_RABIN_C | | | +--->BN_MP_KARATSUBA_SQR_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C | | | | +--->BN_S_MP_ADD_C | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C | | | | | | +--->BN_MP_ZERO_C | | | | +--->BN_MP_ADD_C | | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C | | | +--->BN_FAST_S_MP_SQR_C | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_CLAMP_C @@ -11747,18 +13317,14 @@ BN_MP_PRIME_MILLER_RABIN_C | | | +--->BN_MP_KARATSUBA_MUL_C | | | | +--->BN_MP_INIT_SIZE_C | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_SUB_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CMP_MAG_C -| | | | | +--->BN_S_MP_SUB_C -| | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_ADD_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_ADD_C -| | | | | +--->BN_S_MP_ADD_C -| | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_CMP_MAG_C | | | | | +--->BN_S_MP_SUB_C | | | | | | +--->BN_MP_GROW_C +| | | | +--->BN_S_MP_SUB_C +| | | | | +--->BN_MP_GROW_C | | | | +--->BN_MP_LSHD_C | | | | | +--->BN_MP_GROW_C | | | | | +--->BN_MP_RSHD_C @@ -11773,141 +13339,18 @@ BN_MP_PRIME_MILLER_RABIN_C | | +--->BN_MP_EXCH_C +--->BN_MP_CMP_C | +--->BN_MP_CMP_MAG_C -+--->BN_MP_SQRMOD_C -| +--->BN_MP_SQR_C -| | +--->BN_MP_TOOM_SQR_C -| | | +--->BN_MP_INIT_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_MOD_2D_C -| | | | +--->BN_MP_ZERO_C -| | | | +--->BN_MP_COPY_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_MUL_2_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_2_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_DIV_3_C -| | | | +--->BN_MP_INIT_SIZE_C -| | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_MP_EXCH_C -| | | | +--->BN_MP_CLEAR_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | | +--->BN_MP_CLEAR_C -| | +--->BN_MP_KARATSUBA_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_MP_CMP_MAG_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLEAR_C -| | +--->BN_FAST_S_MP_SQR_C -| | | +--->BN_MP_GROW_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_S_MP_SQR_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_C -| +--->BN_MP_CLEAR_C -| +--->BN_MP_MOD_C -| | +--->BN_MP_DIV_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_MP_COPY_C -| | | | +--->BN_MP_GROW_C -| | | +--->BN_MP_ZERO_C -| | | +--->BN_MP_INIT_MULTI_C -| | | +--->BN_MP_SET_C -| | | +--->BN_MP_COUNT_BITS_C -| | | +--->BN_MP_ABS_C -| | | +--->BN_MP_MUL_2D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_LSHD_C -| | | | | +--->BN_MP_RSHD_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_SUB_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_ADD_C -| | | | +--->BN_S_MP_ADD_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | | +--->BN_S_MP_SUB_C -| | | | | +--->BN_MP_GROW_C -| | | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_EXCH_C -| | | +--->BN_MP_CLEAR_MULTI_C -| | | +--->BN_MP_INIT_SIZE_C -| | | +--->BN_MP_LSHD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_RSHD_C -| | | +--->BN_MP_MUL_D_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_ADD_C -| | | +--->BN_S_MP_ADD_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | | +--->BN_MP_CMP_MAG_C -| | | +--->BN_S_MP_SUB_C -| | | | +--->BN_MP_GROW_C -| | | | +--->BN_MP_CLAMP_C -| | +--->BN_MP_EXCH_C +--->BN_MP_CLEAR_C -BN_MP_DR_SETUP_C - - -BN_MP_CMP_MAG_C +BN_MP_REDUCE_2K_SETUP_L_C ++--->BN_MP_INIT_C ++--->BN_MP_2EXPT_C +| +--->BN_MP_ZERO_C +| +--->BN_MP_GROW_C ++--->BN_MP_COUNT_BITS_C ++--->BN_S_MP_SUB_C +| +--->BN_MP_GROW_C +| +--->BN_MP_CLAMP_C ++--->BN_MP_CLEAR_C diff --git a/libtommath/changes.txt b/libtommath/changes.txt index 4fc0913..d70d589 100644 --- a/libtommath/changes.txt +++ b/libtommath/changes.txt @@ -1,11 +1,32 @@ +Feb 5th, 2016 +v1.0.0 + -- Bump to 1.0.0 + -- Dirkjan Bussink provided a faster version of mp_expt_d() + -- Moritz Lenz contributed a fix to mp_mod() + and provided mp_get_long() and mp_set_long() + -- Fixed bugs in mp_read_radix(), mp_radix_size + Thanks to shameister, Gerhard R, + -- Christopher Brown provided mp_export() and mp_import() + -- Improvements in the code of mp_init_copy() + Thanks to ramkumarkoppu, + -- lomereiter provided mp_balance_mul() + -- Alexander Boström from the heimdal project contributed patches to + mp_prime_next_prime() and mp_invmod() and added a mp_isneg() macro + -- Fix build issues for Linux x32 ABI + -- Added mp_get_long_long() and mp_set_long_long() + -- Carlin provided a patch to use arc4random() instead of rand() + on platforms where it is supported + -- Karel Miko provided mp_sqrtmod_prime() + + July 23rd, 2010 v0.42.0 -- Fix for mp_prime_next_prime() bug when checking generated prime -- allow mp_shrink to shrink initialized, but empty MPI's - -- Added project and solution files for Visual Studio 2005 and Visual Studio 2008. + -- Added project and solution files for Visual Studio 2005 and Visual Studio 2008. March 10th, 2007 -v0.41 -- Wolfgang Ehrhardt suggested a quick fix to mp_div_d() which makes the detection of powers of two quicker. +v0.41 -- Wolfgang Ehrhardt suggested a quick fix to mp_div_d() which makes the detection of powers of two quicker. -- [CRI] Added libtommath.dsp for Visual C++ users. December 24th, 2006 @@ -22,11 +43,11 @@ v0.39 -- Jim Wigginton pointed out my Montgomery examples in figures 6.4 and 6. Jan 26th, 2006 v0.38 -- broken makefile.shared fixed -- removed some carry stores that were not required [updated text] - + November 18th, 2005 v0.37 -- [Don Porter] reported on a TCL list [HEY SEND ME BUGREPORTS ALREADY!!!] that mp_add_d() would compute -0 with some inputs. Fixed. -- [rinick@gmail.com] reported the makefile.bcc was messed up. Fixed. - -- [Kevin Kenny] reported some issues with mp_toradix_n(). Now it doesn't require a min of 3 chars of output. + -- [Kevin Kenny] reported some issues with mp_toradix_n(). Now it doesn't require a min of 3 chars of output. -- Made the make command renamable. Wee August 1st, 2005 @@ -36,8 +57,8 @@ v0.36 -- LTM_PRIME_2MSB_ON was fixed and the "OFF" flag was removed. -- Ported LTC patch to fix the prime_random_ex() function to get the bitsize correct [and the maskOR flags] -- Kevin Kenny pointed out a stray // -- David Hulton pointed out a typo in the textbook [mp_montgomery_setup() pseudo-code] - -- Neal Hamilton (Elliptic Semiconductor) pointed out that my Karatsuba notation was backwards and that I could use - unsigned operations in the routine. + -- Neal Hamilton (Elliptic Semiconductor) pointed out that my Karatsuba notation was backwards and that I could use + unsigned operations in the routine. -- Paul Schmidt pointed out a linking error in mp_exptmod() when BN_S_MP_EXPTMOD_C is undefined (and another for read_radix) -- Updated makefiles to be way more flexible @@ -48,7 +69,7 @@ v0.35 -- Stupid XOR function missing line again... oops. -- [Wolfgang Ehrhardt] Suggested a fix for mp_reduce() which avoided underruns. ;-) -- mp_rand() would emit one too many digits and it was possible to get a 0 out of it ... oops -- Added montgomery to the testing to make sure it handles 1..10 digit moduli correctly - -- Fixed bug in comba that would lead to possible erroneous outputs when "pa < digs" + -- Fixed bug in comba that would lead to possible erroneous outputs when "pa < digs" -- Fixed bug in mp_toradix_size for "0" [Kevin Kenny] -- Updated chapters 1-5 of the textbook ;-) It now talks about the new comba code! @@ -59,7 +80,7 @@ v0.34 -- Fixed two more small errors in mp_prime_random_ex() -- Added "large" diminished radix support. Speeds up things like DSA where the moduli is of the form 2^k - P for some P < 2^(k/2) or so Actually is faster than Montgomery on my AMD64 (and probably much faster on a P4) -- Updated the manual a bit - -- Ok so I haven't done the textbook work yet... My current freelance gig has landed me in France till the + -- Ok so I haven't done the textbook work yet... My current freelance gig has landed me in France till the end of Feb/05. Once I get back I'll have tons of free time and I plan to go to town on the book. As of this release the API will freeze. At least until the book catches up with all the changes. I welcome bug reports but new algorithms will have to wait. @@ -76,7 +97,7 @@ v0.33 -- Fixed "small" variant for mp_div() which would munge with negative div October 29th, 2004 v0.32 -- Added "makefile.shared" for shared object support -- Added more to the build options/configs in the manual - -- Started the Depends framework, wrote dep.pl to scan deps and + -- Started the Depends framework, wrote dep.pl to scan deps and produce "callgraph.txt" ;-) -- Wrote SC_RSA_1 which will enable close to the minimum required to perform RSA on 32-bit [or 64-bit] platforms with LibTomCrypt @@ -84,7 +105,7 @@ v0.32 -- Added "makefile.shared" for shared object support you want to use as your mp_div() at build time. Saves roughly 8KB or so. -- Renamed a few files and changed some comments to make depends system work better. (No changes to function names) - -- Merged in new Combas that perform 2 reads per inner loop instead of the older + -- Merged in new Combas that perform 2 reads per inner loop instead of the older 3reads/2writes per inner loop of the old code. Really though if you want speed learn to use TomsFastMath ;-) @@ -113,8 +134,8 @@ v0.30 -- Added "mp_toradix_n" which stores upto "n-1" least significant digits call. -- Removed /etclib directory [um LibTomPoly deprecates this]. -- Fixed mp_mod() so the sign of the result agrees with the sign of the modulus. - ++ N.B. My semester is almost up so expect updates to the textbook to be posted to the libtomcrypt.org - website. + ++ N.B. My semester is almost up so expect updates to the textbook to be posted to the libtomcrypt.org + website. Jan 25th, 2004 v0.29 ++ Note: "Henrik" from the v0.28 changelog refers to Henrik Goldman ;-) diff --git a/libtommath/demo/demo.c b/libtommath/demo/demo.c index 3e5663b..b46b7f8 100644 --- a/libtommath/demo/demo.c +++ b/libtommath/demo/demo.c @@ -1,3 +1,4 @@ +#include #include #ifdef IOWNANATHLON @@ -7,6 +8,28 @@ #define SLEEP #endif +/* + * Configuration + */ +#ifndef LTM_DEMO_TEST_VS_MTEST +#define LTM_DEMO_TEST_VS_MTEST 1 +#endif + +#ifndef LTM_DEMO_TEST_REDUCE_2K_L +/* This test takes a moment so we disable it by default, but it can be: + * 0 to disable testing + * 1 to make the test with P = 2^1024 - 0x2A434 B9FDEC95 D8F9D550 FFFFFFFF FFFFFFFF + * 2 to make the test with P = 2^2048 - 0x1 00000000 00000000 00000000 00000000 4945DDBF 8EA2A91D 5776399B B83E188F + */ +#define LTM_DEMO_TEST_REDUCE_2K_L 0 +#endif + +#ifdef LTM_DEMO_REAL_RAND +#define LTM_DEMO_RAND_SEED time(NULL) +#else +#define LTM_DEMO_RAND_SEED 23 +#endif + #include "tommath.h" void ndraw(mp_int * a, char *name) @@ -16,12 +39,16 @@ void ndraw(mp_int * a, char *name) printf("%s: ", name); mp_toradix(a, buf, 10); printf("%s\n", buf); + mp_toradix(a, buf, 16); + printf("0x%s\n", buf); } +#if LTM_DEMO_TEST_VS_MTEST static void draw(mp_int * a) { ndraw(a, ""); } +#endif unsigned long lfsr = 0xAAAAAAAAUL; @@ -37,183 +64,392 @@ int lbit(void) } } +#if defined(LTM_DEMO_REAL_RAND) && !defined(_WIN32) +static FILE* fd_urandom; +#endif int myrng(unsigned char *dst, int len, void *dat) { int x; - - for (x = 0; x < len; x++) - dst[x] = rand() & 0xFF; + (void)dat; +#if defined(LTM_DEMO_REAL_RAND) + if (!fd_urandom) { +#if !defined(_WIN32) + fprintf(stderr, "\nno /dev/urandom\n"); +#endif + } + else { + return fread(dst, 1, len, fd_urandom); + } +#endif + for (x = 0; x < len; ) { + unsigned int r = (unsigned int)rand(); + do { + dst[x++] = r & 0xFF; + r >>= 8; + } while((r != 0) && (x < len)); + } return len; } +#if LTM_DEMO_TEST_VS_MTEST != 0 +static void _panic(int l) +{ + fprintf(stderr, "\n%d: fgets failed\n", l); + exit(EXIT_FAILURE); +} +#endif + +mp_int a, b, c, d, e, f; + +static void _cleanup(void) +{ + mp_clear_multi(&a, &b, &c, &d, &e, &f, NULL); + printf("\n"); +#ifdef LTM_DEMO_REAL_RAND + if(fd_urandom) + fclose(fd_urandom); +#endif +} +struct mp_sqrtmod_prime_st { + unsigned long p; + unsigned long n; + mp_digit r; +}; +struct mp_sqrtmod_prime_st sqrtmod_prime[] = { + { 5, 14, 3 }, + { 7, 9, 4 }, + { 113, 2, 62 } +}; +struct mp_jacobi_st { + unsigned long n; + int c[16]; +}; +struct mp_jacobi_st jacobi[] = { + { 3, { 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 0, 1 } }, + { 5, { 0, 1, -1, -1, 1, 0, 1, -1, -1, 1, 0, 1, -1, -1, 1, 0 } }, + { 7, { 1, -1, 1, -1, -1, 0, 1, 1, -1, 1, -1, -1, 0, 1, 1, -1 } }, + { 9, { -1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1 } }, +}; char cmd[4096], buf[4096]; int main(void) { - mp_int a, b, c, d, e, f; - unsigned long expt_n, add_n, sub_n, mul_n, div_n, sqr_n, mul2d_n, div2d_n, - gcd_n, lcm_n, inv_n, div2_n, mul2_n, add_d_n, sub_d_n, t; unsigned rr; - int i, n, err, cnt, ix, old_kara_m, old_kara_s; + int cnt, ix; +#if LTM_DEMO_TEST_VS_MTEST + unsigned long expt_n, add_n, sub_n, mul_n, div_n, sqr_n, mul2d_n, div2d_n, + gcd_n, lcm_n, inv_n, div2_n, mul2_n, add_d_n, sub_d_n; + char* ret; +#else + unsigned long s, t; + unsigned long long q, r; mp_digit mp; + int i, n, err, should; +#endif + if (mp_init_multi(&a, &b, &c, &d, &e, &f, NULL)!= MP_OKAY) + return EXIT_FAILURE; - mp_init(&a); - mp_init(&b); - mp_init(&c); - mp_init(&d); - mp_init(&e); - mp_init(&f); - - srand(time(NULL)); - -#if 0 - // test montgomery - printf("Testing montgomery...\n"); - for (i = 1; i < 10; i++) { - printf("Testing digit size: %d\n", i); - for (n = 0; n < 1000; n++) { - mp_rand(&a, i); - a.dp[0] |= 1; + atexit(_cleanup); - // let's see if R is right - mp_montgomery_calc_normalization(&b, &a); - mp_montgomery_setup(&a, &mp); +#if defined(LTM_DEMO_REAL_RAND) + if (!fd_urandom) { + fd_urandom = fopen("/dev/urandom", "r"); + if (!fd_urandom) { +#if !defined(_WIN32) + fprintf(stderr, "\ncould not open /dev/urandom\n"); +#endif + } + } +#endif + srand(LTM_DEMO_RAND_SEED); - // now test a random reduction - for (ix = 0; ix < 100; ix++) { - mp_rand(&c, 1 + abs(rand()) % (2*i)); - mp_copy(&c, &d); - mp_copy(&c, &e); +#ifdef MP_8BIT + printf("Digit size 8 Bit \n"); +#endif +#ifdef MP_16BIT + printf("Digit size 16 Bit \n"); +#endif +#ifdef MP_32BIT + printf("Digit size 32 Bit \n"); +#endif +#ifdef MP_64BIT + printf("Digit size 64 Bit \n"); +#endif + printf("Size of mp_digit: %u\n", (unsigned int)sizeof(mp_digit)); + printf("Size of mp_word: %u\n", (unsigned int)sizeof(mp_word)); + printf("DIGIT_BIT: %d\n", DIGIT_BIT); + printf("MP_PREC: %d\n", MP_PREC); + +#if LTM_DEMO_TEST_VS_MTEST == 0 + // trivial stuff + mp_set_int(&a, 5); + mp_neg(&a, &b); + if (mp_cmp(&a, &b) != MP_GT) { + return EXIT_FAILURE; + } + if (mp_cmp(&b, &a) != MP_LT) { + return EXIT_FAILURE; + } + mp_neg(&a, &a); + if (mp_cmp(&b, &a) != MP_EQ) { + return EXIT_FAILURE; + } + mp_abs(&a, &b); + if (mp_isneg(&b) != MP_NO) { + return EXIT_FAILURE; + } + mp_add_d(&a, 1, &b); + mp_add_d(&a, 6, &b); - mp_mod(&d, &a, &d); - mp_montgomery_reduce(&c, &a, mp); - mp_mulmod(&c, &b, &a, &c); - if (mp_cmp(&c, &d) != MP_EQ) { -printf("d = e mod a, c = e MOD a\n"); -mp_todecimal(&a, buf); printf("a = %s\n", buf); -mp_todecimal(&e, buf); printf("e = %s\n", buf); -mp_todecimal(&d, buf); printf("d = %s\n", buf); -mp_todecimal(&c, buf); printf("c = %s\n", buf); -printf("compare no compare!\n"); exit(EXIT_FAILURE); } + mp_set_int(&a, 0); + mp_set_int(&b, 1); + if ((err = mp_jacobi(&a, &b, &i)) != MP_OKAY) { + printf("Failed executing mp_jacobi(0 | 1) %s.\n", mp_error_to_string(err)); + return EXIT_FAILURE; + } + if (i != 1) { + printf("Failed trivial mp_jacobi(0 | 1) %d != 1\n", i); + return EXIT_FAILURE; + } + for (cnt = 0; cnt < (int)(sizeof(jacobi)/sizeof(jacobi[0])); ++cnt) { + mp_set_int(&b, jacobi[cnt].n); + /* only test positive values of a */ + for (n = -5; n <= 10; ++n) { + mp_set_int(&a, abs(n)); + should = MP_OKAY; + if (n < 0) { + mp_neg(&a, &a); + /* Until #44 is fixed the negative a's must fail */ + should = MP_VAL; + } + if ((err = mp_jacobi(&a, &b, &i)) != should) { + printf("Failed executing mp_jacobi(%d | %lu) %s.\n", n, jacobi[cnt].n, mp_error_to_string(err)); + return EXIT_FAILURE; + } + if (err == MP_OKAY && i != jacobi[cnt].c[n + 5]) { + printf("Failed trivial mp_jacobi(%d | %lu) %d != %d\n", n, jacobi[cnt].n, i, jacobi[cnt].c[n + 5]); + return EXIT_FAILURE; } } } - printf("done\n"); // test mp_get_int - printf("Testing: mp_get_int\n"); + printf("\n\nTesting: mp_get_int"); for (i = 0; i < 1000; ++i) { - t = ((unsigned long) rand() * rand() + 1) & 0xFFFFFFFF; - mp_set_int(&a, t); - if (t != mp_get_int(&a)) { - printf("mp_get_int() bad result!\n"); - return 1; + t = ((unsigned long) rand () * rand () + 1) & 0xFFFFFFFF; + mp_set_int (&a, t); + if (t != mp_get_int (&a)) { + printf ("\nmp_get_int() bad result!"); + return EXIT_FAILURE; } } mp_set_int(&a, 0); if (mp_get_int(&a) != 0) { - printf("mp_get_int() bad result!\n"); - return 1; + printf("\nmp_get_int() bad result!"); + return EXIT_FAILURE; } mp_set_int(&a, 0xffffffff); if (mp_get_int(&a) != 0xffffffff) { - printf("mp_get_int() bad result!\n"); - return 1; + printf("\nmp_get_int() bad result!"); + return EXIT_FAILURE; } + + printf("\n\nTesting: mp_get_long\n"); + for (i = 0; i < (int)(sizeof(unsigned long)*CHAR_BIT) - 1; ++i) { + t = (1ULL << (i+1)) - 1; + if (!t) + t = -1; + printf(" t = 0x%lx i = %d\r", t, i); + do { + if (mp_set_long(&a, t) != MP_OKAY) { + printf("\nmp_set_long() error!"); + return EXIT_FAILURE; + } + s = mp_get_long(&a); + if (s != t) { + printf("\nmp_get_long() bad result! 0x%lx != 0x%lx", s, t); + return EXIT_FAILURE; + } + t <<= 1; + } while(t); + } + + printf("\n\nTesting: mp_get_long_long\n"); + for (i = 0; i < (int)(sizeof(unsigned long long)*CHAR_BIT) - 1; ++i) { + r = (1ULL << (i+1)) - 1; + if (!r) + r = -1; + printf(" r = 0x%llx i = %d\r", r, i); + do { + if (mp_set_long_long(&a, r) != MP_OKAY) { + printf("\nmp_set_long_long() error!"); + return EXIT_FAILURE; + } + q = mp_get_long_long(&a); + if (q != r) { + printf("\nmp_get_long_long() bad result! 0x%llx != 0x%llx", q, r); + return EXIT_FAILURE; + } + r <<= 1; + } while(r); + } + // test mp_sqrt - printf("Testing: mp_sqrt\n"); + printf("\n\nTesting: mp_sqrt\n"); for (i = 0; i < 1000; ++i) { - printf("%6d\r", i); - fflush(stdout); - n = (rand() & 15) + 1; - mp_rand(&a, n); - if (mp_sqrt(&a, &b) != MP_OKAY) { - printf("mp_sqrt() error!\n"); - return 1; + printf ("%6d\r", i); + fflush (stdout); + n = (rand () & 15) + 1; + mp_rand (&a, n); + if (mp_sqrt (&a, &b) != MP_OKAY) { + printf ("\nmp_sqrt() error!"); + return EXIT_FAILURE; + } + mp_n_root_ex (&a, 2, &c, 0); + mp_n_root_ex (&a, 2, &d, 1); + if (mp_cmp_mag (&c, &d) != MP_EQ) { + printf ("\nmp_n_root_ex() bad result!"); + return EXIT_FAILURE; } - mp_n_root(&a, 2, &a); - if (mp_cmp_mag(&b, &a) != MP_EQ) { - printf("mp_sqrt() bad result!\n"); - return 1; + if (mp_cmp_mag (&b, &c) != MP_EQ) { + printf ("mp_sqrt() bad result!\n"); + return EXIT_FAILURE; } } - printf("\nTesting: mp_is_square\n"); + printf("\n\nTesting: mp_is_square\n"); for (i = 0; i < 1000; ++i) { - printf("%6d\r", i); - fflush(stdout); + printf ("%6d\r", i); + fflush (stdout); /* test mp_is_square false negatives */ - n = (rand() & 7) + 1; - mp_rand(&a, n); - mp_sqr(&a, &a); - if (mp_is_square(&a, &n) != MP_OKAY) { - printf("fn:mp_is_square() error!\n"); - return 1; + n = (rand () & 7) + 1; + mp_rand (&a, n); + mp_sqr (&a, &a); + if (mp_is_square (&a, &n) != MP_OKAY) { + printf ("\nfn:mp_is_square() error!"); + return EXIT_FAILURE; } if (n == 0) { - printf("fn:mp_is_square() bad result!\n"); - return 1; + printf ("\nfn:mp_is_square() bad result!"); + return EXIT_FAILURE; } /* test for false positives */ - mp_add_d(&a, 1, &a); - if (mp_is_square(&a, &n) != MP_OKAY) { - printf("fp:mp_is_square() error!\n"); - return 1; + mp_add_d (&a, 1, &a); + if (mp_is_square (&a, &n) != MP_OKAY) { + printf ("\nfp:mp_is_square() error!"); + return EXIT_FAILURE; } if (n == 1) { - printf("fp:mp_is_square() bad result!\n"); - return 1; + printf ("\nfp:mp_is_square() bad result!"); + return EXIT_FAILURE; } } printf("\n\n"); + // r^2 = n (mod p) + for (i = 0; i < (int)(sizeof(sqrtmod_prime)/sizeof(sqrtmod_prime[0])); ++i) { + mp_set_int(&a, sqrtmod_prime[i].p); + mp_set_int(&b, sqrtmod_prime[i].n); + if (mp_sqrtmod_prime(&b, &a, &c) != MP_OKAY) { + printf("Failed executing %d. mp_sqrtmod_prime\n", (i+1)); + return EXIT_FAILURE; + } + if (mp_cmp_d(&c, sqrtmod_prime[i].r) != MP_EQ) { + printf("Failed %d. trivial mp_sqrtmod_prime\n", (i+1)); + ndraw(&c, "r"); + return EXIT_FAILURE; + } + } + /* test for size */ for (ix = 10; ix < 128; ix++) { - printf("Testing (not safe-prime): %9d bits \r", ix); - fflush(stdout); - err = - mp_prime_random_ex(&a, 8, ix, - (rand() & 1) ? LTM_PRIME_2MSB_OFF : - LTM_PRIME_2MSB_ON, myrng, NULL); + printf ("Testing (not safe-prime): %9d bits \r", ix); + fflush (stdout); + err = mp_prime_random_ex (&a, 8, ix, + (rand () & 1) ? 0 : LTM_PRIME_2MSB_ON, myrng, + NULL); if (err != MP_OKAY) { - printf("failed with err code %d\n", err); - return EXIT_FAILURE; + printf ("failed with err code %d\n", err); + return EXIT_FAILURE; } - if (mp_count_bits(&a) != ix) { - printf("Prime is %d not %d bits!!!\n", mp_count_bits(&a), ix); - return EXIT_FAILURE; + if (mp_count_bits (&a) != ix) { + printf ("Prime is %d not %d bits!!!\n", mp_count_bits (&a), ix); + return EXIT_FAILURE; } } + printf("\n"); for (ix = 16; ix < 128; ix++) { - printf("Testing ( safe-prime): %9d bits \r", ix); - fflush(stdout); - err = - mp_prime_random_ex(&a, 8, ix, - ((rand() & 1) ? LTM_PRIME_2MSB_OFF : - LTM_PRIME_2MSB_ON) | LTM_PRIME_SAFE, myrng, - NULL); + printf ("Testing ( safe-prime): %9d bits \r", ix); + fflush (stdout); + err = mp_prime_random_ex ( + &a, 8, ix, ((rand () & 1) ? 0 : LTM_PRIME_2MSB_ON) | LTM_PRIME_SAFE, + myrng, NULL); if (err != MP_OKAY) { - printf("failed with err code %d\n", err); - return EXIT_FAILURE; + printf ("failed with err code %d\n", err); + return EXIT_FAILURE; } - if (mp_count_bits(&a) != ix) { - printf("Prime is %d not %d bits!!!\n", mp_count_bits(&a), ix); - return EXIT_FAILURE; + if (mp_count_bits (&a) != ix) { + printf ("Prime is %d not %d bits!!!\n", mp_count_bits (&a), ix); + return EXIT_FAILURE; } /* let's see if it's really a safe prime */ - mp_sub_d(&a, 1, &a); - mp_div_2(&a, &a); - mp_prime_is_prime(&a, 8, &cnt); + mp_sub_d (&a, 1, &a); + mp_div_2 (&a, &a); + mp_prime_is_prime (&a, 8, &cnt); if (cnt != MP_YES) { - printf("sub is not prime!\n"); - return EXIT_FAILURE; + printf ("sub is not prime!\n"); + return EXIT_FAILURE; + } + } + + printf("\n\n"); + + // test montgomery + printf("Testing: montgomery...\n"); + for (i = 1; i <= 10; i++) { + if (i == 10) + i = 1000; + printf(" digit size: %2d\r", i); + fflush(stdout); + for (n = 0; n < 1000; n++) { + mp_rand(&a, i); + a.dp[0] |= 1; + + // let's see if R is right + mp_montgomery_calc_normalization(&b, &a); + mp_montgomery_setup(&a, &mp); + + // now test a random reduction + for (ix = 0; ix < 100; ix++) { + mp_rand(&c, 1 + abs(rand()) % (2*i)); + mp_copy(&c, &d); + mp_copy(&c, &e); + + mp_mod(&d, &a, &d); + mp_montgomery_reduce(&c, &a, mp); + mp_mulmod(&c, &b, &a, &c); + + if (mp_cmp(&c, &d) != MP_EQ) { +printf("d = e mod a, c = e MOD a\n"); +mp_todecimal(&a, buf); printf("a = %s\n", buf); +mp_todecimal(&e, buf); printf("e = %s\n", buf); +mp_todecimal(&d, buf); printf("d = %s\n", buf); +mp_todecimal(&c, buf); printf("c = %s\n", buf); +printf("compare no compare!\n"); return EXIT_FAILURE; } + /* only one big montgomery reduction */ + if (i > 10) + { + n = 1000; + ix = 100; + } + } } } @@ -239,120 +475,123 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } #endif /* test mp_cnt_lsb */ - printf("testing mp_cnt_lsb...\n"); + printf("\n\nTesting: mp_cnt_lsb"); mp_set(&a, 1); for (ix = 0; ix < 1024; ix++) { - if (mp_cnt_lsb(&a) != ix) { - printf("Failed at %d, %d\n", ix, mp_cnt_lsb(&a)); - return 0; + if (mp_cnt_lsb (&a) != ix) { + printf ("Failed at %d, %d\n", ix, mp_cnt_lsb (&a)); + return EXIT_FAILURE; } - mp_mul_2(&a, &a); + mp_mul_2 (&a, &a); } /* test mp_reduce_2k */ - printf("Testing mp_reduce_2k...\n"); + printf("\n\nTesting: mp_reduce_2k\n"); for (cnt = 3; cnt <= 128; ++cnt) { mp_digit tmp; - mp_2expt(&a, cnt); - mp_sub_d(&a, 2, &a); /* a = 2**cnt - 2 */ - + mp_2expt (&a, cnt); + mp_sub_d (&a, 2, &a); /* a = 2**cnt - 2 */ - printf("\nTesting %4d bits", cnt); - printf("(%d)", mp_reduce_is_2k(&a)); - mp_reduce_2k_setup(&a, &tmp); - printf("(%d)", tmp); + printf ("\r %4d bits", cnt); + printf ("(%d)", mp_reduce_is_2k (&a)); + mp_reduce_2k_setup (&a, &tmp); + printf ("(%lu)", (unsigned long) tmp); for (ix = 0; ix < 1000; ix++) { - if (!(ix & 127)) { - printf("."); - fflush(stdout); - } - mp_rand(&b, (cnt / DIGIT_BIT + 1) * 2); - mp_copy(&c, &b); - mp_mod(&c, &a, &c); - mp_reduce_2k(&b, &a, 2); - if (mp_cmp(&c, &b)) { - printf("FAILED\n"); - exit(0); - } + if (!(ix & 127)) { + printf ("."); + fflush (stdout); + } + mp_rand (&b, (cnt / DIGIT_BIT + 1) * 2); + mp_copy (&c, &b); + mp_mod (&c, &a, &c); + mp_reduce_2k (&b, &a, 2); + if (mp_cmp (&c, &b)) { + printf ("FAILED\n"); + return EXIT_FAILURE; + } } } /* test mp_div_3 */ - printf("Testing mp_div_3...\n"); + printf("\n\nTesting: mp_div_3...\n"); mp_set(&d, 3); for (cnt = 0; cnt < 10000;) { - mp_digit r1, r2; + mp_digit r2; if (!(++cnt & 127)) - printf("%9d\r", cnt); + { + printf("%9d\r", cnt); + fflush(stdout); + } mp_rand(&a, abs(rand()) % 128 + 1); mp_div(&a, &d, &b, &e); mp_div_3(&a, &c, &r2); if (mp_cmp(&b, &c) || mp_cmp_d(&e, r2)) { - printf("\n\nmp_div_3 => Failure\n"); + printf("\nmp_div_3 => Failure\n"); } } - printf("\n\nPassed div_3 testing\n"); + printf("\nPassed div_3 testing"); /* test the DR reduction */ - printf("testing mp_dr_reduce...\n"); + printf("\n\nTesting: mp_dr_reduce...\n"); for (cnt = 2; cnt < 32; cnt++) { - printf("%d digit modulus\n", cnt); - mp_grow(&a, cnt); - mp_zero(&a); + printf ("\r%d digit modulus", cnt); + mp_grow (&a, cnt); + mp_zero (&a); for (ix = 1; ix < cnt; ix++) { - a.dp[ix] = MP_MASK; + a.dp[ix] = MP_MASK; } a.used = cnt; a.dp[0] = 3; - mp_rand(&b, cnt - 1); - mp_copy(&b, &c); + mp_rand (&b, cnt - 1); + mp_copy (&b, &c); rr = 0; do { - if (!(rr & 127)) { - printf("%9lu\r", rr); - fflush(stdout); - } - mp_sqr(&b, &b); - mp_add_d(&b, 1, &b); - mp_copy(&b, &c); - - mp_mod(&b, &a, &b); - mp_dr_reduce(&c, &a, (((mp_digit) 1) << DIGIT_BIT) - a.dp[0]); + if (!(rr & 127)) { + printf ("."); + fflush (stdout); + } + mp_sqr (&b, &b); + mp_add_d (&b, 1, &b); + mp_copy (&b, &c); - if (mp_cmp(&b, &c) != MP_EQ) { - printf("Failed on trial %lu\n", rr); - exit(-1); + mp_mod (&b, &a, &b); + mp_dr_setup(&a, &mp), + mp_dr_reduce (&c, &a, mp); - } + if (mp_cmp (&b, &c) != MP_EQ) { + printf ("Failed on trial %u\n", rr); + return EXIT_FAILURE; + } } while (++rr < 500); - printf("Passed DR test for %d digits\n", cnt); + printf (" passed"); + fflush (stdout); } -#endif - +#if LTM_DEMO_TEST_REDUCE_2K_L /* test the mp_reduce_2k_l code */ -#if 0 -#if 0 +#if LTM_DEMO_TEST_REDUCE_2K_L == 1 /* first load P with 2^1024 - 0x2A434 B9FDEC95 D8F9D550 FFFFFFFF FFFFFFFF */ mp_2expt(&a, 1024); mp_read_radix(&b, "2A434B9FDEC95D8F9D550FFFFFFFFFFFFFFFF", 16); mp_sub(&a, &b, &a); -#elif 1 +#elif LTM_DEMO_TEST_REDUCE_2K_L == 2 /* p = 2^2048 - 0x1 00000000 00000000 00000000 00000000 4945DDBF 8EA2A91D 5776399B B83E188F */ mp_2expt(&a, 2048); mp_read_radix(&b, "1000000000000000000000000000000004945DDBF8EA2A91D5776399BB83E188F", 16); mp_sub(&a, &b, &a); +#else +#error oops #endif mp_todecimal(&a, buf); - printf("p==%s\n", buf); + printf("\n\np==%s\n", buf); /* now mp_reduce_is_2k_l() should return */ if (mp_reduce_is_2k_l(&a) != 1) { printf("mp_reduce_is_2k_l() return 0, should be 1\n"); @@ -363,9 +602,9 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } mp_rand(&b, 64); mp_mod(&b, &a, &b); mp_copy(&b, &c); - printf("testing mp_reduce_2k_l..."); + printf("Testing: mp_reduce_2k_l..."); fflush(stdout); - for (cnt = 0; cnt < (1UL << 20); cnt++) { + for (cnt = 0; cnt < (int)(1UL << 20); cnt++) { mp_sqr(&b, &b); mp_add_d(&b, 1, &b); mp_reduce_2k_l(&b, &a, &d); @@ -373,7 +612,7 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } mp_add_d(&c, 1, &c); mp_mod(&c, &a, &c); if (mp_cmp(&b, &c) != MP_EQ) { - printf("mp_reduce_2k_l() failed at step %lu\n", cnt); + printf("mp_reduce_2k_l() failed at step %d\n", cnt); mp_tohex(&b, buf); printf("b == %s\n", buf); mp_tohex(&c, buf); @@ -382,7 +621,9 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } } } printf("...Passed\n"); -#endif +#endif /* LTM_DEMO_TEST_REDUCE_2K_L */ + +#else div2_n = mul2_n = inv_n = expt_n = lcm_n = gcd_n = add_n = sub_n = mul_n = div_n = sqr_n = mul2d_n = div2d_n = cnt = add_d_n = @@ -428,17 +669,17 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } ("%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu ", add_n, sub_n, mul_n, div_n, sqr_n, mul2d_n, div2d_n, gcd_n, lcm_n, expt_n, inv_n, div2_n, mul2_n, add_d_n, sub_d_n); - fgets(cmd, 4095, stdin); + ret=fgets(cmd, 4095, stdin); if(!ret){_panic(__LINE__);} cmd[strlen(cmd) - 1] = 0; - printf("%s ]\r", cmd); + printf("%-6s ]\r", cmd); fflush(stdout); if (!strcmp(cmd, "mul2d")) { ++mul2d_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} sscanf(buf, "%d", &rr); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); mp_mul_2d(&a, rr, &a); @@ -447,15 +688,15 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } printf("mul2d failed, rr == %d\n", rr); draw(&a); draw(&b); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "div2d")) { ++div2d_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} sscanf(buf, "%d", &rr); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); mp_div_2d(&a, rr, &a, &e); @@ -467,15 +708,15 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } printf("div2d failed, rr == %d\n", rr); draw(&a); draw(&b); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "add")) { ++add_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&c, buf, 64); mp_copy(&a, &d); mp_add(&d, &b, &d); @@ -485,7 +726,7 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&b); draw(&c); draw(&d); - return 0; + return EXIT_FAILURE; } /* test the sign/unsigned storage functions */ @@ -498,7 +739,7 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } printf("mp_signed_bin failure!\n"); draw(&c); draw(&d); - return 0; + return EXIT_FAILURE; } @@ -510,16 +751,16 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } printf("mp_unsigned_bin failure!\n"); draw(&c); draw(&d); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "sub")) { ++sub_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&c, buf, 64); mp_copy(&a, &d); mp_sub(&d, &b, &d); @@ -529,15 +770,15 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&b); draw(&c); draw(&d); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "mul")) { ++mul_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&c, buf, 64); mp_copy(&a, &d); mp_mul(&d, &b, &d); @@ -547,17 +788,17 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&b); draw(&c); draw(&d); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "div")) { ++div_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&c, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&d, buf, 64); mp_div(&a, &b, &e, &f); @@ -570,14 +811,14 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&d); draw(&e); draw(&f); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "sqr")) { ++sqr_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); mp_copy(&a, &c); mp_sqr(&c, &c); @@ -586,15 +827,15 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&a); draw(&b); draw(&c); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "gcd")) { ++gcd_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&c, buf, 64); mp_copy(&a, &d); mp_gcd(&d, &b, &d); @@ -605,15 +846,15 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&b); draw(&c); draw(&d); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "lcm")) { ++lcm_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&c, buf, 64); mp_copy(&a, &d); mp_lcm(&d, &b, &d); @@ -624,17 +865,17 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&b); draw(&c); draw(&d); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "expt")) { ++expt_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&c, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&d, buf, 64); mp_copy(&a, &e); mp_exptmod(&e, &b, &c, &e); @@ -645,15 +886,15 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&c); draw(&d); draw(&e); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "invmod")) { ++inv_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&c, buf, 64); mp_invmod(&a, &b, &d); mp_mulmod(&d, &a, &b, &e); @@ -663,16 +904,17 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&b); draw(&c); draw(&d); + draw(&e); mp_gcd(&a, &b, &e); draw(&e); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "div2")) { ++div2_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); mp_div_2(&a, &c); if (mp_cmp(&c, &b) != MP_EQ) { @@ -680,13 +922,13 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&a); draw(&b); draw(&c); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "mul2")) { ++mul2_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); mp_mul_2(&a, &c); if (mp_cmp(&c, &b) != MP_EQ) { @@ -694,15 +936,15 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&a); draw(&b); draw(&c); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "add_d")) { ++add_d_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} sscanf(buf, "%d", &ix); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); mp_add_d(&a, ix, &c); if (mp_cmp(&b, &c) != MP_EQ) { @@ -711,15 +953,15 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&b); draw(&c); printf("d == %d\n", ix); - return 0; + return EXIT_FAILURE; } } else if (!strcmp(cmd, "sub_d")) { ++sub_d_n; - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} sscanf(buf, "%d", &ix); - fgets(buf, 4095, stdin); + ret=fgets(buf, 4095, stdin); if(!ret){_panic(__LINE__);} mp_read_radix(&b, buf, 64); mp_sub_d(&a, ix, &c); if (mp_cmp(&b, &c) != MP_EQ) { @@ -728,13 +970,17 @@ printf("compare no compare!\n"); exit(EXIT_FAILURE); } draw(&b); draw(&c); printf("d == %d\n", ix); - return 0; + return EXIT_FAILURE; } + } else if (!strcmp(cmd, "exit")) { + printf("\nokay, exiting now\n"); + break; } } +#endif return 0; } /* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/demo/timing.c b/libtommath/demo/timing.c index 57bb6d4..1bd8489 100644 --- a/libtommath/demo/timing.c +++ b/libtommath/demo/timing.c @@ -1,5 +1,6 @@ #include #include +#include ulong64 _tt; @@ -10,6 +11,12 @@ ulong64 _tt; #define SLEEP #endif +#ifdef LTM_TIMING_REAL_RAND +#define LTM_TIMING_RAND_SEED time(NULL) +#else +#define LTM_TIMING_RAND_SEED 23 +#endif + void ndraw(mp_int * a, char *name) { @@ -44,10 +51,12 @@ static ulong64 TIMFUNC(void) { #if defined __GNUC__ #if defined(__i386__) || defined(__x86_64__) - unsigned long long a; - __asm__ __volatile__("rdtsc\nmovl %%eax,%0\nmovl %%edx,4+%0\n":: - "m"(a):"%eax", "%edx"); - return a; + /* version from http://www.mcs.anl.gov/~kazutomo/rdtsc.html + * the old code always got a warning issued by gcc, clang did not complain... + */ + unsigned hi, lo; + __asm__ __volatile__ ("rdtsc" : "=a"(lo), "=d"(hi)); + return ((ulong64)lo)|( ((ulong64)hi)<<32); #else /* gcc-IA64 version */ unsigned long result; __asm__ __volatile__("mov %0=ar.itc":"=r"(result)::"memory"); @@ -78,12 +87,24 @@ static ulong64 TIMFUNC(void) //#define DO8(x) DO4(x); DO4(x); //#define DO(x) DO8(x); DO8(x); +#ifdef TIMING_NO_LOGS +#define FOPEN(a, b) NULL +#define FPRINTF(a,b,c,d) +#define FFLUSH(a) +#define FCLOSE(a) (void)(a) +#else +#define FOPEN(a,b) fopen(a,b) +#define FPRINTF(a,b,c,d) fprintf(a,b,c,d) +#define FFLUSH(a) fflush(a) +#define FCLOSE(a) fclose(a) +#endif + int main(void) { ulong64 tt, gg, CLK_PER_SEC; FILE *log, *logb, *logc, *logd; mp_int a, b, c, d, e, f; - int n, cnt, ix, old_kara_m, old_kara_s; + int n, cnt, ix, old_kara_m, old_kara_s, old_toom_m, old_toom_s; unsigned rr; mp_init(&a); @@ -93,19 +114,15 @@ int main(void) mp_init(&e); mp_init(&f); - srand(time(NULL)); - + srand(LTM_TIMING_RAND_SEED); - /* temp. turn off TOOM */ - TOOM_MUL_CUTOFF = TOOM_SQR_CUTOFF = 100000; CLK_PER_SEC = TIMFUNC(); sleep(1); CLK_PER_SEC = TIMFUNC() - CLK_PER_SEC; printf("CLK_PER_SEC == %llu\n", CLK_PER_SEC); - goto exptmod; - log = fopen("logs/add.log", "w"); + log = FOPEN("logs/add.log", "w"); for (cnt = 8; cnt <= 128; cnt += 8) { SLEEP; mp_rand(&a, cnt); @@ -121,12 +138,12 @@ int main(void) } while (++rr < 100000); printf("Adding\t\t%4d-bit => %9llu/sec, %9llu cycles\n", mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); - fflush(log); + FPRINTF(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); + FFLUSH(log); } - fclose(log); + FCLOSE(log); - log = fopen("logs/sub.log", "w"); + log = FOPEN("logs/sub.log", "w"); for (cnt = 8; cnt <= 128; cnt += 8) { SLEEP; mp_rand(&a, cnt); @@ -143,22 +160,26 @@ int main(void) printf("Subtracting\t\t%4d-bit => %9llu/sec, %9llu cycles\n", mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); - fflush(log); + FPRINTF(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); + FFLUSH(log); } - fclose(log); + FCLOSE(log); /* do mult/square twice, first without karatsuba and second with */ - multtest: old_kara_m = KARATSUBA_MUL_CUTOFF; old_kara_s = KARATSUBA_SQR_CUTOFF; - for (ix = 0; ix < 2; ix++) { - printf("With%s Karatsuba\n", (ix == 0) ? "out" : ""); - - KARATSUBA_MUL_CUTOFF = (ix == 0) ? 9999 : old_kara_m; - KARATSUBA_SQR_CUTOFF = (ix == 0) ? 9999 : old_kara_s; - - log = fopen((ix == 0) ? "logs/mult.log" : "logs/mult_kara.log", "w"); + /* currently toom-cook cut-off is too high to kick in, so we just use the karatsuba values */ + old_toom_m = old_kara_m; + old_toom_s = old_kara_m; + for (ix = 0; ix < 3; ix++) { + printf("With%s Karatsuba, With%s Toom\n", (ix == 0) ? "out" : "", (ix == 1) ? "out" : ""); + + KARATSUBA_MUL_CUTOFF = (ix == 1) ? old_kara_m : 9999; + KARATSUBA_SQR_CUTOFF = (ix == 1) ? old_kara_s : 9999; + TOOM_MUL_CUTOFF = (ix == 2) ? old_toom_m : 9999; + TOOM_SQR_CUTOFF = (ix == 2) ? old_toom_s : 9999; + + log = FOPEN((ix == 0) ? "logs/mult.log" : (ix == 1) ? "logs/mult_kara.log" : "logs/mult_toom.log", "w"); for (cnt = 4; cnt <= 10240 / DIGIT_BIT; cnt += 2) { SLEEP; mp_rand(&a, cnt); @@ -174,12 +195,12 @@ int main(void) } while (++rr < 100); printf("Multiplying\t%4d-bit => %9llu/sec, %9llu cycles\n", mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(log, "%d %9llu\n", mp_count_bits(&a), tt); - fflush(log); + FPRINTF(log, "%d %9llu\n", mp_count_bits(&a), tt); + FFLUSH(log); } - fclose(log); + FCLOSE(log); - log = fopen((ix == 0) ? "logs/sqr.log" : "logs/sqr_kara.log", "w"); + log = FOPEN((ix == 0) ? "logs/sqr.log" : (ix == 1) ? "logs/sqr_kara.log" : "logs/sqr_toom.log", "w"); for (cnt = 4; cnt <= 10240 / DIGIT_BIT; cnt += 2) { SLEEP; mp_rand(&a, cnt); @@ -194,13 +215,12 @@ int main(void) } while (++rr < 100); printf("Squaring\t%4d-bit => %9llu/sec, %9llu cycles\n", mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(log, "%d %9llu\n", mp_count_bits(&a), tt); - fflush(log); + FPRINTF(log, "%d %9llu\n", mp_count_bits(&a), tt); + FFLUSH(log); } - fclose(log); + FCLOSE(log); } - exptmod: { char *primes[] = { @@ -235,10 +255,10 @@ int main(void) "1214855636816562637502584060163403830270705000634713483015101384881871978446801224798536155406895823305035467591632531067547890948695117172076954220727075688048751022421198712032848890056357845974246560748347918630050853933697792254955890439720297560693579400297062396904306270145886830719309296352765295712183040773146419022875165382778007040109957609739589875590885701126197906063620133954893216612678838507540777138437797705602453719559017633986486649523611975865005712371194067612263330335590526176087004421363598470302731349138773205901447704682181517904064735636518462452242791676541725292378925568296858010151852326316777511935037531017413910506921922450666933202278489024521263798482237150056835746454842662048692127173834433089016107854491097456725016327709663199738238442164843147132789153725513257167915555162094970853584447993125488607696008169807374736711297007473812256272245489405898470297178738029484459690836250560495461579533254473316340608217876781986188705928270735695752830825527963838355419762516246028680280988020401914551825487349990306976304093109384451438813251211051597392127491464898797406789175453067960072008590614886532333015881171367104445044718144312416815712216611576221546455968770801413440778423979", NULL }; - log = fopen("logs/expt.log", "w"); - logb = fopen("logs/expt_dr.log", "w"); - logc = fopen("logs/expt_2k.log", "w"); - logd = fopen("logs/expt_2kl.log", "w"); + log = FOPEN("logs/expt.log", "w"); + logb = FOPEN("logs/expt_dr.log", "w"); + logc = FOPEN("logs/expt_2k.log", "w"); + logd = FOPEN("logs/expt_2kl.log", "w"); for (n = 0; primes[n]; n++) { SLEEP; mp_read_radix(&a, primes[n], 10); @@ -271,17 +291,17 @@ int main(void) } printf("Exponentiating\t%4d-bit => %9llu/sec, %9llu cycles\n", mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(n < 4 ? logd : (n < 9) ? logc : (n < 16) ? logb : log, + FPRINTF(n < 4 ? logd : (n < 9) ? logc : (n < 16) ? logb : log, "%d %9llu\n", mp_count_bits(&a), tt); } } - fclose(log); - fclose(logb); - fclose(logc); - fclose(logd); + FCLOSE(log); + FCLOSE(logb); + FCLOSE(logc); + FCLOSE(logd); - log = fopen("logs/invmod.log", "w"); - for (cnt = 4; cnt <= 128; cnt += 4) { + log = FOPEN("logs/invmod.log", "w"); + for (cnt = 4; cnt <= 32; cnt += 4) { SLEEP; mp_rand(&a, cnt); mp_rand(&b, cnt); @@ -307,13 +327,13 @@ int main(void) } printf("Inverting mod\t%4d-bit => %9llu/sec, %9llu cycles\n", mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); + FPRINTF(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); } - fclose(log); + FCLOSE(log); return 0; } /* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/dep.pl b/libtommath/dep.pl index c39e27e..0a5d19a 100644 --- a/libtommath/dep.pl +++ b/libtommath/dep.pl @@ -68,7 +68,7 @@ foreach my $filename (glob "bn*.c") { $line = $'; # now $& is the match, we want to skip over LTM keywords like # mp_int, mp_word, mp_digit - if (!($& eq "mp_digit") && !($& eq "mp_word") && !($& eq "mp_int")) { + if (!($& eq "mp_digit") && !($& eq "mp_word") && !($& eq "mp_int") && !($& eq "mp_min_u32")) { my $a = $&; $a =~ tr/[a-z]/[A-Z]/; $a = "BN_" . $a . "_C"; diff --git a/libtommath/etc/2kprime.c b/libtommath/etc/2kprime.c index fff4825..9450283 100644 --- a/libtommath/etc/2kprime.c +++ b/libtommath/etc/2kprime.c @@ -80,5 +80,5 @@ int main(void) /* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/etc/drprime.c b/libtommath/etc/drprime.c index ea40bd3..c7d253f 100644 --- a/libtommath/etc/drprime.c +++ b/libtommath/etc/drprime.c @@ -60,5 +60,5 @@ int main(void) /* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/etc/mersenne.c b/libtommath/etc/mersenne.c index 6f9eed2..ae6725a 100644 --- a/libtommath/etc/mersenne.c +++ b/libtommath/etc/mersenne.c @@ -140,5 +140,5 @@ main (void) } /* $Source$ */ -/* $Revision: 0.39 $ */ -/* $Date: 2006-04-06 19:49:59 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/etc/mont.c b/libtommath/etc/mont.c index 8356903..45cf3fd 100644 --- a/libtommath/etc/mont.c +++ b/libtommath/etc/mont.c @@ -46,5 +46,5 @@ int main(void) /* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/etc/pprime.c b/libtommath/etc/pprime.c index d2d3a32..9f94423 100644 --- a/libtommath/etc/pprime.c +++ b/libtommath/etc/pprime.c @@ -396,5 +396,5 @@ main (void) } /* $Source$ */ -/* $Revision: 0.39 $ */ -/* $Date: 2006-04-06 19:49:59 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/etc/tune.c b/libtommath/etc/tune.c index 0094f19..c2ac998 100644 --- a/libtommath/etc/tune.c +++ b/libtommath/etc/tune.c @@ -6,18 +6,23 @@ #include /* how many times todo each size mult. Depends on your computer. For slow computers - * this can be low like 5 or 10. For fast [re: Athlon] should be 25 - 50 or so + * this can be low like 5 or 10. For fast [re: Athlon] should be 25 - 50 or so */ #define TIMES (1UL<<14UL) +#ifndef X86_TIMER + /* RDTSC from Scott Duplichan */ static ulong64 TIMFUNC (void) { #if defined __GNUC__ #if defined(__i386__) || defined(__x86_64__) - unsigned long long a; - __asm__ __volatile__ ("rdtsc\nmovl %%eax,%0\nmovl %%edx,4+%0\n"::"m"(a):"%eax","%edx"); - return a; + /* version from http://www.mcs.anl.gov/~kazutomo/rdtsc.html + * the old code always got a warning issued by gcc, clang did not complain... + */ + unsigned hi, lo; + __asm__ __volatile__ ("rdtsc" : "=a"(lo), "=d"(hi)); + return ((ulong64)lo)|( ((ulong64)hi)<<32); #else /* gcc-IA64 version */ unsigned long result; __asm__ __volatile__("mov %0=ar.itc" : "=r"(result) :: "memory"); @@ -42,8 +47,6 @@ static ulong64 TIMFUNC (void) } -#ifndef X86_TIMER - /* generic ISO C timer */ ulong64 LBL_T; void t_start(void) { LBL_T = TIMFUNC(); } @@ -67,7 +70,7 @@ ulong64 time_mult(int size, int s) mp_rand (&a, size); mp_rand (&b, size); - if (s == 1) { + if (s == 1) { KARATSUBA_MUL_CUTOFF = size; } else { KARATSUBA_MUL_CUTOFF = 100000; @@ -95,7 +98,7 @@ ulong64 time_sqr(int size, int s) mp_rand (&a, size); - if (s == 1) { + if (s == 1) { KARATSUBA_SQR_CUTOFF = size; } else { KARATSUBA_SQR_CUTOFF = 100000; @@ -117,7 +120,7 @@ main (void) ulong64 t1, t2; int x, y; - for (x = 8; ; x += 2) { + for (x = 8; ; x += 2) { t1 = time_mult(x, 0); t2 = time_mult(x, 1); printf("%d: %9llu %9llu, %9llu\n", x, t1, t2, t2 - t1); @@ -125,7 +128,7 @@ main (void) } y = x; - for (x = 8; ; x += 2) { + for (x = 8; ; x += 2) { t1 = time_sqr(x, 0); t2 = time_sqr(x, 1); printf("%d: %9llu %9llu, %9llu\n", x, t1, t2, t2 - t1); @@ -138,5 +141,5 @@ main (void) } /* $Source$ */ -/* $Revision: 0.39 $ */ -/* $Date: 2006-04-06 19:49:59 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/filter.pl b/libtommath/filter.pl new file mode 100755 index 0000000..a8a50c7 --- /dev/null +++ b/libtommath/filter.pl @@ -0,0 +1,34 @@ +#!/usr/bin/perl + +# we want to filter every between START_INS and END_INS out and then insert crap from another file (this is fun) + +$dst = shift; +$ins = shift; + +open(SRC,"<$dst"); +open(INS,"<$ins"); +open(TMP,">tmp.delme"); + +$l = 0; +while () { + if ($_ =~ /START_INS/) { + print TMP $_; + $l = 1; + while () { + print TMP $_; + } + close INS; + } elsif ($_ =~ /END_INS/) { + print TMP $_; + $l = 0; + } elsif ($l == 0) { + print TMP $_; + } +} + +close TMP; +close SRC; + +# $Source$ +# $Revision$ +# $Date$ diff --git a/libtommath/gen.pl b/libtommath/gen.pl index 7236591..57f65ac 100644 --- a/libtommath/gen.pl +++ b/libtommath/gen.pl @@ -14,4 +14,6 @@ foreach my $filename (glob "bn*.c") { close SRC or die "Error closing $filename after reading: $!"; } print OUT "\n/* EOF */\n"; -close OUT or die "Error closing mpi.c after writing: $!"; \ No newline at end of file +close OUT or die "Error closing mpi.c after writing: $!"; + +system('perl -pli -e "s/\s*$//" mpi.c'); diff --git a/libtommath/genlist.sh b/libtommath/genlist.sh new file mode 100755 index 0000000..1f53b66 --- /dev/null +++ b/libtommath/genlist.sh @@ -0,0 +1,8 @@ +#!/bin/bash + +export a=`find . -maxdepth 1 -type f -name '*.c' | sort | sed -e 'sE\./EE' | sed -e 's/\.c/\.o/' | xargs` +perl ./parsenames.pl OBJECTS "$a" + +# $Source$ +# $Revision$ +# $Date$ diff --git a/libtommath/libtommath_VS2005.sln b/libtommath/libtommath_VS2005.sln old mode 100755 new mode 100644 diff --git a/libtommath/libtommath_VS2005.vcproj b/libtommath/libtommath_VS2005.vcproj old mode 100755 new mode 100644 index 7162185..e92c7be --- a/libtommath/libtommath_VS2005.vcproj +++ b/libtommath/libtommath_VS2005.vcproj @@ -1,2803 +1,2847 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/libtommath/libtommath_VS2008.sln b/libtommath/libtommath_VS2008.sln old mode 100755 new mode 100644 diff --git a/libtommath/libtommath_VS2008.vcproj b/libtommath/libtommath_VS2008.vcproj old mode 100755 new mode 100644 index 205aec1..7503d22 --- a/libtommath/libtommath_VS2008.vcproj +++ b/libtommath/libtommath_VS2008.vcproj @@ -1,2805 +1,2813 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 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+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/libtommath/makefile b/libtommath/makefile index 70de306..f90971c 100644 --- a/libtommath/makefile +++ b/libtommath/makefile @@ -2,98 +2,66 @@ # #Tom St Denis -#version of library -VERSION=0.42.0 - -CFLAGS += -I./ -Wall -W -Wshadow -Wsign-compare - -ifndef MAKE - MAKE=make -endif - -ifndef IGNORE_SPEED - -#for speed -CFLAGS += -O3 -funroll-loops - -#for size -#CFLAGS += -Os - -#x86 optimizations [should be valid for any GCC install though] -CFLAGS += -fomit-frame-pointer - -#debug -#CFLAGS += -g3 - -endif - -#install as this user -ifndef INSTALL_GROUP - GROUP=wheel +ifeq ($V,1) +silent= else - GROUP=$(INSTALL_GROUP) +silent=@ endif -ifndef INSTALL_USER - USER=root -else - USER=$(INSTALL_USER) +%.o: %.c +ifneq ($V,1) + @echo " * ${CC} $@" endif + ${silent} ${CC} -c ${CFLAGS} $^ -o $@ #default files to install ifndef LIBNAME LIBNAME=libtommath.a endif -default: ${LIBNAME} - -HEADERS=tommath.h tommath_class.h tommath_superclass.h - -#LIBPATH-The directory for libtommath to be installed to. -#INCPATH-The directory to install the header files for libtommath. -#DATAPATH-The directory to install the pdf docs. -DESTDIR= -LIBPATH=/usr/lib -INCPATH=/usr/include -DATAPATH=/usr/share/doc/libtommath/pdf - -OBJECTS=bncore.o bn_mp_init.o bn_mp_clear.o bn_mp_exch.o bn_mp_grow.o bn_mp_shrink.o \ -bn_mp_clamp.o bn_mp_zero.o bn_mp_set.o bn_mp_set_int.o bn_mp_init_size.o bn_mp_copy.o \ -bn_mp_init_copy.o bn_mp_abs.o bn_mp_neg.o bn_mp_cmp_mag.o bn_mp_cmp.o bn_mp_cmp_d.o \ -bn_mp_rshd.o bn_mp_lshd.o bn_mp_mod_2d.o bn_mp_div_2d.o bn_mp_mul_2d.o bn_mp_div_2.o \ -bn_mp_mul_2.o bn_s_mp_add.o bn_s_mp_sub.o bn_fast_s_mp_mul_digs.o bn_s_mp_mul_digs.o \ -bn_fast_s_mp_mul_high_digs.o bn_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_s_mp_sqr.o \ -bn_mp_add.o bn_mp_sub.o bn_mp_karatsuba_mul.o bn_mp_mul.o bn_mp_karatsuba_sqr.o \ -bn_mp_sqr.o bn_mp_div.o bn_mp_mod.o bn_mp_add_d.o bn_mp_sub_d.o bn_mp_mul_d.o \ -bn_mp_div_d.o bn_mp_mod_d.o bn_mp_expt_d.o bn_mp_addmod.o bn_mp_submod.o \ -bn_mp_mulmod.o bn_mp_sqrmod.o bn_mp_gcd.o bn_mp_lcm.o bn_fast_mp_invmod.o bn_mp_invmod.o \ -bn_mp_reduce.o bn_mp_montgomery_setup.o bn_fast_mp_montgomery_reduce.o bn_mp_montgomery_reduce.o \ -bn_mp_exptmod_fast.o bn_mp_exptmod.o bn_mp_2expt.o bn_mp_n_root.o bn_mp_jacobi.o bn_reverse.o \ -bn_mp_count_bits.o bn_mp_read_unsigned_bin.o bn_mp_read_signed_bin.o bn_mp_to_unsigned_bin.o \ -bn_mp_to_signed_bin.o bn_mp_unsigned_bin_size.o bn_mp_signed_bin_size.o \ -bn_mp_xor.o bn_mp_and.o bn_mp_or.o bn_mp_rand.o bn_mp_montgomery_calc_normalization.o \ -bn_mp_prime_is_divisible.o bn_prime_tab.o bn_mp_prime_fermat.o bn_mp_prime_miller_rabin.o \ -bn_mp_prime_is_prime.o bn_mp_prime_next_prime.o bn_mp_dr_reduce.o \ -bn_mp_dr_is_modulus.o bn_mp_dr_setup.o bn_mp_reduce_setup.o \ -bn_mp_toom_mul.o bn_mp_toom_sqr.o bn_mp_div_3.o bn_s_mp_exptmod.o \ -bn_mp_reduce_2k.o bn_mp_reduce_is_2k.o bn_mp_reduce_2k_setup.o \ -bn_mp_reduce_2k_l.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_2k_setup_l.o \ -bn_mp_radix_smap.o bn_mp_read_radix.o bn_mp_toradix.o bn_mp_radix_size.o \ -bn_mp_fread.o bn_mp_fwrite.o bn_mp_cnt_lsb.o bn_error.o \ -bn_mp_init_multi.o bn_mp_clear_multi.o bn_mp_exteuclid.o bn_mp_toradix_n.o \ -bn_mp_prime_random_ex.o bn_mp_get_int.o bn_mp_sqrt.o bn_mp_is_square.o bn_mp_init_set.o \ -bn_mp_init_set_int.o bn_mp_invmod_slow.o bn_mp_prime_rabin_miller_trials.o \ -bn_mp_to_signed_bin_n.o bn_mp_to_unsigned_bin_n.o +coverage: LIBNAME:=-Wl,--whole-archive $(LIBNAME) -Wl,--no-whole-archive + +include makefile.include + +LCOV_ARGS=--directory . + +#START_INS +OBJECTS=bncore.o bn_error.o bn_fast_mp_invmod.o bn_fast_mp_montgomery_reduce.o bn_fast_s_mp_mul_digs.o \ +bn_fast_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_mp_2expt.o bn_mp_abs.o bn_mp_add.o bn_mp_add_d.o \ +bn_mp_addmod.o bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp_cmp.o bn_mp_cmp_d.o \ +bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o \ +bn_mp_div.o bn_mp_div_d.o bn_mp_dr_is_modulus.o bn_mp_dr_reduce.o bn_mp_dr_setup.o bn_mp_exch.o \ +bn_mp_export.o bn_mp_expt_d.o bn_mp_expt_d_ex.o bn_mp_exptmod.o bn_mp_exptmod_fast.o bn_mp_exteuclid.o \ +bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_int.o bn_mp_get_long.o bn_mp_get_long_long.o \ +bn_mp_grow.o bn_mp_import.o bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o \ +bn_mp_init_set_int.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_invmod_slow.o bn_mp_is_square.o \ +bn_mp_jacobi.o bn_mp_karatsuba_mul.o bn_mp_karatsuba_sqr.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod_2d.o \ +bn_mp_mod.o bn_mp_mod_d.o bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o \ +bn_mp_montgomery_setup.o bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_neg.o \ +bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_is_divisible.o \ +bn_mp_prime_is_prime.o bn_mp_prime_miller_rabin.o bn_mp_prime_next_prime.o \ +bn_mp_prime_rabin_miller_trials.o bn_mp_prime_random_ex.o bn_mp_radix_size.o bn_mp_radix_smap.o \ +bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o bn_mp_read_unsigned_bin.o bn_mp_reduce_2k.o \ +bn_mp_reduce_2k_l.o bn_mp_reduce_2k_setup.o bn_mp_reduce_2k_setup_l.o bn_mp_reduce.o \ +bn_mp_reduce_is_2k.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_setup.o bn_mp_rshd.o bn_mp_set.o bn_mp_set_int.o \ +bn_mp_set_long.o bn_mp_set_long_long.o bn_mp_shrink.o bn_mp_signed_bin_size.o bn_mp_sqr.o bn_mp_sqrmod.o \ +bn_mp_sqrt.o bn_mp_sqrtmod_prime.o bn_mp_sub.o bn_mp_sub_d.o bn_mp_submod.o bn_mp_toom_mul.o \ +bn_mp_toom_sqr.o bn_mp_toradix.o bn_mp_toradix_n.o bn_mp_to_signed_bin.o bn_mp_to_signed_bin_n.o \ +bn_mp_to_unsigned_bin.o bn_mp_to_unsigned_bin_n.o bn_mp_unsigned_bin_size.o bn_mp_xor.o bn_mp_zero.o \ +bn_prime_tab.o bn_reverse.o bn_s_mp_add.o bn_s_mp_exptmod.o bn_s_mp_mul_digs.o bn_s_mp_mul_high_digs.o \ +bn_s_mp_sqr.o bn_s_mp_sub.o + +#END_INS $(LIBNAME): $(OBJECTS) $(AR) $(ARFLAGS) $@ $(OBJECTS) - ranlib $@ + $(RANLIB) $@ #make a profiled library (takes a while!!!) # # This will build the library with profile generation # then run the test demo and rebuild the library. -# +# # So far I've seen improvements in the MP math profiled: make CFLAGS="$(CFLAGS) -fprofile-arcs -DTESTING" timing @@ -101,35 +69,42 @@ profiled: rm -f *.a *.o ltmtest make CFLAGS="$(CFLAGS) -fbranch-probabilities" -#make a single object profiled library +#make a single object profiled library profiled_single: perl gen.pl $(CC) $(CFLAGS) -fprofile-arcs -DTESTING -c mpi.c -o mpi.o - $(CC) $(CFLAGS) -DTESTING -DTIMER demo/timing.c mpi.o -o ltmtest + $(CC) $(CFLAGS) -DTESTING -DTIMER demo/timing.c mpi.o -lgcov -o ltmtest ./ltmtest rm -f *.o ltmtest $(CC) $(CFLAGS) -fbranch-probabilities -DTESTING -c mpi.c -o mpi.o $(AR) $(ARFLAGS) $(LIBNAME) mpi.o - ranlib $(LIBNAME) + ranlib $(LIBNAME) install: $(LIBNAME) - install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(LIBPATH) - install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(INCPATH) - install -g $(GROUP) -o $(USER) $(LIBNAME) $(DESTDIR)$(LIBPATH) - install -g $(GROUP) -o $(USER) $(HEADERS) $(DESTDIR)$(INCPATH) + install -d $(DESTDIR)$(LIBPATH) + install -d $(DESTDIR)$(INCPATH) + install -m 644 $(LIBNAME) $(DESTDIR)$(LIBPATH) + install -m 644 $(HEADERS_PUB) $(DESTDIR)$(INCPATH) test: $(LIBNAME) demo/demo.o - $(CC) $(CFLAGS) demo/demo.o $(LIBNAME) -o test - -mtest: test - cd mtest ; $(CC) $(CFLAGS) mtest.c -o mtest - + $(CC) $(CFLAGS) demo/demo.o $(LIBNAME) $(LFLAGS) -o test + +test_standalone: $(LIBNAME) demo/demo.o + $(CC) $(CFLAGS) demo/demo.o $(LIBNAME) $(LFLAGS) -o test + +.PHONY: mtest +mtest: + cd mtest ; $(CC) $(CFLAGS) -O0 mtest.c $(LFLAGS) -o mtest + timing: $(LIBNAME) - $(CC) $(CFLAGS) -DTIMER demo/timing.c $(LIBNAME) -o ltmtest + $(CC) $(CFLAGS) -DTIMER demo/timing.c $(LIBNAME) $(LFLAGS) -o ltmtest + +coveralls: coverage + cpp-coveralls # makes the LTM book DVI file, requires tetex, perl and makeindex [part of tetex I think] docdvi: tommath.src - cd pics ; MAKE=${MAKE} ${MAKE} + cd pics ; MAKE=${MAKE} ${MAKE} echo "hello" > tommath.ind perl booker.pl latex tommath > /dev/null @@ -139,17 +114,37 @@ docdvi: tommath.src # poster, makes the single page PDF poster poster: poster.tex + cp poster.tex poster.bak + touch --reference=poster.tex poster.bak + (printf "%s" "\def\fixedpdfdate{"; date +'D:%Y%m%d%H%M%S%:z' -d @$$(stat --format=%Y poster.tex) | sed "s/:\([0-9][0-9]\)$$/'\1'}/g") > poster-deterministic.tex + printf "%s\n" "\pdfinfo{" >> poster-deterministic.tex + printf "%s\n" " /CreationDate (\fixedpdfdate)" >> poster-deterministic.tex + printf "%s\n}\n" " /ModDate (\fixedpdfdate)" >> poster-deterministic.tex + cat poster.tex >> poster-deterministic.tex + mv poster-deterministic.tex poster.tex + touch --reference=poster.bak poster.tex pdflatex poster - rm -f poster.aux poster.log + sed -b -i 's,^/ID \[.*\]$$,/ID [<0> <0>],g' poster.pdf + mv poster.bak poster.tex + rm -f poster.aux poster.log poster.out # makes the LTM book PDF file, requires tetex, cleans up the LaTeX temp files docs: docdvi dvipdf tommath rm -f tommath.log tommath.aux tommath.dvi tommath.idx tommath.toc tommath.lof tommath.ind tommath.ilg cd pics ; MAKE=${MAKE} ${MAKE} clean - + #LTM user manual mandvi: bn.tex + cp bn.tex bn.bak + touch --reference=bn.tex bn.bak + (printf "%s" "\def\fixedpdfdate{"; date +'D:%Y%m%d%H%M%S%:z' -d @$$(stat --format=%Y bn.tex) | sed "s/:\([0-9][0-9]\)$$/'\1'}/g") > bn-deterministic.tex + printf "%s\n" "\pdfinfo{" >> bn-deterministic.tex + printf "%s\n" " /CreationDate (\fixedpdfdate)" >> bn-deterministic.tex + printf "%s\n}\n" " /ModDate (\fixedpdfdate)" >> bn-deterministic.tex + cat bn.tex >> bn-deterministic.tex + mv bn-deterministic.tex bn.tex + touch --reference=bn.bak bn.tex echo "hello" > bn.ind latex bn > /dev/null latex bn > /dev/null @@ -159,28 +154,36 @@ mandvi: bn.tex #LTM user manual [pdf] manual: mandvi pdflatex bn >/dev/null + sed -b -i 's,^/ID \[.*\]$$,/ID [<0> <0>],g' bn.pdf + mv bn.bak bn.tex rm -f bn.aux bn.dvi bn.log bn.idx bn.lof bn.out bn.toc -pretty: +pretty: perl pretty.build -clean: - rm -f *.bat *.pdf *.o *.a *.obj *.lib *.exe *.dll etclib/*.o demo/demo.o test ltmtest mpitest mtest/mtest mtest/mtest.exe \ - *.idx *.toc *.log *.aux *.dvi *.lof *.ind *.ilg *.ps *.log *.s mpi.c *.da *.dyn *.dpi tommath.tex `find . -type f | grep [~] | xargs` *.lo *.la - rm -rf .libs - cd etc ; MAKE=${MAKE} ${MAKE} clean - cd pics ; MAKE=${MAKE} ${MAKE} clean - -#zipup the project (take that!) +#\zipup the project (take that!) no_oops: clean - cd .. ; cvs commit + cd .. ; cvs commit echo Scanning for scratch/dirty files find . -type f | grep -v CVS | xargs -n 1 bash mess.sh -zipup: clean manual poster docs - perl gen.pl ; mv mpi.c pre_gen/ ; \ - cd .. ; rm -rf ltm* libtommath-$(VERSION) ; mkdir libtommath-$(VERSION) ; \ - cp -R ./libtommath/* ./libtommath-$(VERSION)/ ; \ - tar -c libtommath-$(VERSION)/* | bzip2 -9vvc > ltm-$(VERSION).tar.bz2 ; \ - zip -9 -r ltm-$(VERSION).zip libtommath-$(VERSION)/* ; \ - mv -f ltm* ~ ; rm -rf libtommath-$(VERSION) +.PHONY: pre_gen +pre_gen: + perl gen.pl + sed -e 's/[[:blank:]]*$$//' mpi.c > pre_gen/mpi.c + rm mpi.c + +zipup: + rm -rf ../libtommath-$(VERSION) \ + && rm -f ../ltm-$(VERSION).zip ../ltm-$(VERSION).zip.asc ../ltm-$(VERSION).tar.xz ../ltm-$(VERSION).tar.xz.asc + git archive HEAD --prefix=libtommath-$(VERSION)/ > ../libtommath-$(VERSION).tar + cd .. ; tar xf libtommath-$(VERSION).tar + MAKE=${MAKE} ${MAKE} -C ../libtommath-$(VERSION) clean manual poster docs + tar -c ../libtommath-$(VERSION)/* | xz -9 > ../ltm-$(VERSION).tar.xz + find ../libtommath-$(VERSION)/ -type f -exec unix2dos -q {} \; + cd .. ; zip -9r ltm-$(VERSION).zip libtommath-$(VERSION) + gpg -b -a ../ltm-$(VERSION).tar.xz && gpg -b -a ../ltm-$(VERSION).zip + +new_file: + bash updatemakes.sh + perl dep.pl diff --git a/libtommath/makefile.bcc b/libtommath/makefile.bcc index 67743d9..a0cfd74 100644 --- a/libtommath/makefile.bcc +++ b/libtommath/makefile.bcc @@ -7,33 +7,35 @@ LIB = tlib CC = bcc32 CFLAGS = -c -O2 -I. -OBJECTS=bncore.obj bn_mp_init.obj bn_mp_clear.obj bn_mp_exch.obj bn_mp_grow.obj bn_mp_shrink.obj \ -bn_mp_clamp.obj bn_mp_zero.obj bn_mp_set.obj bn_mp_set_int.obj bn_mp_init_size.obj bn_mp_copy.obj \ -bn_mp_init_copy.obj bn_mp_abs.obj bn_mp_neg.obj bn_mp_cmp_mag.obj bn_mp_cmp.obj bn_mp_cmp_d.obj \ -bn_mp_rshd.obj bn_mp_lshd.obj bn_mp_mod_2d.obj bn_mp_div_2d.obj bn_mp_mul_2d.obj bn_mp_div_2.obj \ -bn_mp_mul_2.obj bn_s_mp_add.obj bn_s_mp_sub.obj bn_fast_s_mp_mul_digs.obj bn_s_mp_mul_digs.obj \ -bn_fast_s_mp_mul_high_digs.obj bn_s_mp_mul_high_digs.obj bn_fast_s_mp_sqr.obj bn_s_mp_sqr.obj \ -bn_mp_add.obj bn_mp_sub.obj bn_mp_karatsuba_mul.obj bn_mp_mul.obj bn_mp_karatsuba_sqr.obj \ -bn_mp_sqr.obj bn_mp_div.obj bn_mp_mod.obj bn_mp_add_d.obj bn_mp_sub_d.obj bn_mp_mul_d.obj \ -bn_mp_div_d.obj bn_mp_mod_d.obj bn_mp_expt_d.obj bn_mp_addmod.obj bn_mp_submod.obj \ -bn_mp_mulmod.obj bn_mp_sqrmod.obj bn_mp_gcd.obj bn_mp_lcm.obj bn_fast_mp_invmod.obj bn_mp_invmod.obj \ -bn_mp_reduce.obj bn_mp_montgomery_setup.obj bn_fast_mp_montgomery_reduce.obj bn_mp_montgomery_reduce.obj \ -bn_mp_exptmod_fast.obj bn_mp_exptmod.obj bn_mp_2expt.obj bn_mp_n_root.obj bn_mp_jacobi.obj bn_reverse.obj \ -bn_mp_count_bits.obj bn_mp_read_unsigned_bin.obj bn_mp_read_signed_bin.obj bn_mp_to_unsigned_bin.obj \ -bn_mp_to_signed_bin.obj bn_mp_unsigned_bin_size.obj bn_mp_signed_bin_size.obj \ -bn_mp_xor.obj bn_mp_and.obj bn_mp_or.obj bn_mp_rand.obj bn_mp_montgomery_calc_normalization.obj \ -bn_mp_prime_is_divisible.obj bn_prime_tab.obj bn_mp_prime_fermat.obj bn_mp_prime_miller_rabin.obj \ -bn_mp_prime_is_prime.obj bn_mp_prime_next_prime.obj bn_mp_dr_reduce.obj \ -bn_mp_dr_is_modulus.obj bn_mp_dr_setup.obj bn_mp_reduce_setup.obj \ -bn_mp_toom_mul.obj bn_mp_toom_sqr.obj bn_mp_div_3.obj bn_s_mp_exptmod.obj \ -bn_mp_reduce_2k.obj bn_mp_reduce_is_2k.obj bn_mp_reduce_2k_setup.obj \ -bn_mp_reduce_2k_l.obj bn_mp_reduce_is_2k_l.obj bn_mp_reduce_2k_setup_l.obj \ -bn_mp_radix_smap.obj bn_mp_read_radix.obj bn_mp_toradix.obj bn_mp_radix_size.obj \ -bn_mp_fread.obj bn_mp_fwrite.obj bn_mp_cnt_lsb.obj bn_error.obj \ -bn_mp_init_multi.obj bn_mp_clear_multi.obj bn_mp_exteuclid.obj bn_mp_toradix_n.obj \ -bn_mp_prime_random_ex.obj bn_mp_get_int.obj bn_mp_sqrt.obj bn_mp_is_square.obj \ -bn_mp_init_set.obj bn_mp_init_set_int.obj bn_mp_invmod_slow.obj bn_mp_prime_rabin_miller_trials.obj \ -bn_mp_to_signed_bin_n.obj bn_mp_to_unsigned_bin_n.obj +#START_INS +OBJECTS=bncore.obj bn_error.obj bn_fast_mp_invmod.obj bn_fast_mp_montgomery_reduce.obj bn_fast_s_mp_mul_digs.obj \ +bn_fast_s_mp_mul_high_digs.obj bn_fast_s_mp_sqr.obj bn_mp_2expt.obj bn_mp_abs.obj bn_mp_add.obj bn_mp_add_d.obj \ +bn_mp_addmod.obj bn_mp_and.obj bn_mp_clamp.obj bn_mp_clear.obj bn_mp_clear_multi.obj bn_mp_cmp.obj bn_mp_cmp_d.obj \ +bn_mp_cmp_mag.obj bn_mp_cnt_lsb.obj bn_mp_copy.obj bn_mp_count_bits.obj bn_mp_div_2.obj bn_mp_div_2d.obj bn_mp_div_3.obj \ +bn_mp_div.obj bn_mp_div_d.obj bn_mp_dr_is_modulus.obj bn_mp_dr_reduce.obj bn_mp_dr_setup.obj bn_mp_exch.obj \ +bn_mp_export.obj bn_mp_expt_d.obj bn_mp_expt_d_ex.obj bn_mp_exptmod.obj bn_mp_exptmod_fast.obj bn_mp_exteuclid.obj \ +bn_mp_fread.obj bn_mp_fwrite.obj bn_mp_gcd.obj bn_mp_get_int.obj bn_mp_get_long.obj bn_mp_get_long_long.obj \ +bn_mp_grow.obj bn_mp_import.obj bn_mp_init.obj bn_mp_init_copy.obj bn_mp_init_multi.obj bn_mp_init_set.obj \ +bn_mp_init_set_int.obj bn_mp_init_size.obj bn_mp_invmod.obj bn_mp_invmod_slow.obj bn_mp_is_square.obj \ +bn_mp_jacobi.obj bn_mp_karatsuba_mul.obj bn_mp_karatsuba_sqr.obj bn_mp_lcm.obj bn_mp_lshd.obj bn_mp_mod_2d.obj \ +bn_mp_mod.obj bn_mp_mod_d.obj bn_mp_montgomery_calc_normalization.obj bn_mp_montgomery_reduce.obj \ +bn_mp_montgomery_setup.obj bn_mp_mul_2.obj bn_mp_mul_2d.obj bn_mp_mul.obj bn_mp_mul_d.obj bn_mp_mulmod.obj bn_mp_neg.obj \ +bn_mp_n_root.obj bn_mp_n_root_ex.obj bn_mp_or.obj bn_mp_prime_fermat.obj bn_mp_prime_is_divisible.obj \ +bn_mp_prime_is_prime.obj bn_mp_prime_miller_rabin.obj bn_mp_prime_next_prime.obj \ +bn_mp_prime_rabin_miller_trials.obj bn_mp_prime_random_ex.obj bn_mp_radix_size.obj bn_mp_radix_smap.obj \ +bn_mp_rand.obj bn_mp_read_radix.obj bn_mp_read_signed_bin.obj bn_mp_read_unsigned_bin.obj bn_mp_reduce_2k.obj \ +bn_mp_reduce_2k_l.obj bn_mp_reduce_2k_setup.obj bn_mp_reduce_2k_setup_l.obj bn_mp_reduce.obj \ +bn_mp_reduce_is_2k.obj bn_mp_reduce_is_2k_l.obj bn_mp_reduce_setup.obj bn_mp_rshd.obj bn_mp_set.obj bn_mp_set_int.obj \ +bn_mp_set_long.obj bn_mp_set_long_long.obj bn_mp_shrink.obj bn_mp_signed_bin_size.obj bn_mp_sqr.obj bn_mp_sqrmod.obj \ +bn_mp_sqrt.obj bn_mp_sqrtmod_prime.obj bn_mp_sub.obj bn_mp_sub_d.obj bn_mp_submod.obj bn_mp_toom_mul.obj \ +bn_mp_toom_sqr.obj bn_mp_toradix.obj bn_mp_toradix_n.obj bn_mp_to_signed_bin.obj bn_mp_to_signed_bin_n.obj \ +bn_mp_to_unsigned_bin.obj bn_mp_to_unsigned_bin_n.obj bn_mp_unsigned_bin_size.obj bn_mp_xor.obj bn_mp_zero.obj \ +bn_prime_tab.obj bn_reverse.obj bn_s_mp_add.obj bn_s_mp_exptmod.obj bn_s_mp_mul_digs.obj bn_s_mp_mul_high_digs.obj \ +bn_s_mp_sqr.obj bn_s_mp_sub.obj + +#END_INS + +HEADERS=tommath.h tommath_class.h tommath_superclass.h TARGET = libtommath.lib diff --git a/libtommath/makefile.cygwin_dll b/libtommath/makefile.cygwin_dll index 85a9b20..6feb5b4 100644 --- a/libtommath/makefile.cygwin_dll +++ b/libtommath/makefile.cygwin_dll @@ -8,37 +8,39 @@ CFLAGS += -I./ -Wall -W -Wshadow -O3 -funroll-loops -mno-cygwin #x86 optimizations [should be valid for any GCC install though] -CFLAGS += -fomit-frame-pointer +CFLAGS += -fomit-frame-pointer default: windll -OBJECTS=bncore.o bn_mp_init.o bn_mp_clear.o bn_mp_exch.o bn_mp_grow.o bn_mp_shrink.o \ -bn_mp_clamp.o bn_mp_zero.o bn_mp_set.o bn_mp_set_int.o bn_mp_init_size.o bn_mp_copy.o \ -bn_mp_init_copy.o bn_mp_abs.o bn_mp_neg.o bn_mp_cmp_mag.o bn_mp_cmp.o bn_mp_cmp_d.o \ -bn_mp_rshd.o bn_mp_lshd.o bn_mp_mod_2d.o bn_mp_div_2d.o bn_mp_mul_2d.o bn_mp_div_2.o \ -bn_mp_mul_2.o bn_s_mp_add.o bn_s_mp_sub.o bn_fast_s_mp_mul_digs.o bn_s_mp_mul_digs.o \ -bn_fast_s_mp_mul_high_digs.o bn_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_s_mp_sqr.o \ -bn_mp_add.o bn_mp_sub.o bn_mp_karatsuba_mul.o bn_mp_mul.o bn_mp_karatsuba_sqr.o \ -bn_mp_sqr.o bn_mp_div.o bn_mp_mod.o bn_mp_add_d.o bn_mp_sub_d.o bn_mp_mul_d.o \ -bn_mp_div_d.o bn_mp_mod_d.o bn_mp_expt_d.o bn_mp_addmod.o bn_mp_submod.o \ -bn_mp_mulmod.o bn_mp_sqrmod.o bn_mp_gcd.o bn_mp_lcm.o bn_fast_mp_invmod.o bn_mp_invmod.o \ -bn_mp_reduce.o bn_mp_montgomery_setup.o bn_fast_mp_montgomery_reduce.o bn_mp_montgomery_reduce.o \ -bn_mp_exptmod_fast.o bn_mp_exptmod.o bn_mp_2expt.o bn_mp_n_root.o bn_mp_jacobi.o bn_reverse.o \ -bn_mp_count_bits.o bn_mp_read_unsigned_bin.o bn_mp_read_signed_bin.o bn_mp_to_unsigned_bin.o \ -bn_mp_to_signed_bin.o bn_mp_unsigned_bin_size.o bn_mp_signed_bin_size.o \ -bn_mp_xor.o bn_mp_and.o bn_mp_or.o bn_mp_rand.o bn_mp_montgomery_calc_normalization.o \ -bn_mp_prime_is_divisible.o bn_prime_tab.o bn_mp_prime_fermat.o bn_mp_prime_miller_rabin.o \ -bn_mp_prime_is_prime.o bn_mp_prime_next_prime.o bn_mp_dr_reduce.o \ -bn_mp_dr_is_modulus.o bn_mp_dr_setup.o bn_mp_reduce_setup.o \ -bn_mp_toom_mul.o bn_mp_toom_sqr.o bn_mp_div_3.o bn_s_mp_exptmod.o \ -bn_mp_reduce_2k.o bn_mp_reduce_is_2k.o bn_mp_reduce_2k_setup.o \ -bn_mp_reduce_2k_l.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_2k_setup_l.o \ -bn_mp_radix_smap.o bn_mp_read_radix.o bn_mp_toradix.o bn_mp_radix_size.o \ -bn_mp_fread.o bn_mp_fwrite.o bn_mp_cnt_lsb.o bn_error.o \ -bn_mp_init_multi.o bn_mp_clear_multi.o bn_mp_exteuclid.o bn_mp_toradix_n.o \ -bn_mp_prime_random_ex.o bn_mp_get_int.o bn_mp_sqrt.o bn_mp_is_square.o bn_mp_init_set.o \ -bn_mp_init_set_int.o bn_mp_invmod_slow.o bn_mp_prime_rabin_miller_trials.o \ -bn_mp_to_signed_bin_n.o bn_mp_to_unsigned_bin_n.o +#START_INS +OBJECTS=bncore.o bn_error.o bn_fast_mp_invmod.o bn_fast_mp_montgomery_reduce.o bn_fast_s_mp_mul_digs.o \ +bn_fast_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_mp_2expt.o bn_mp_abs.o bn_mp_add.o bn_mp_add_d.o \ +bn_mp_addmod.o bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp_cmp.o bn_mp_cmp_d.o \ +bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o \ +bn_mp_div.o bn_mp_div_d.o bn_mp_dr_is_modulus.o bn_mp_dr_reduce.o bn_mp_dr_setup.o bn_mp_exch.o \ +bn_mp_export.o bn_mp_expt_d.o bn_mp_expt_d_ex.o bn_mp_exptmod.o bn_mp_exptmod_fast.o bn_mp_exteuclid.o \ +bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_int.o bn_mp_get_long.o bn_mp_get_long_long.o \ +bn_mp_grow.o bn_mp_import.o bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o \ +bn_mp_init_set_int.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_invmod_slow.o bn_mp_is_square.o \ +bn_mp_jacobi.o bn_mp_karatsuba_mul.o bn_mp_karatsuba_sqr.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod_2d.o \ +bn_mp_mod.o bn_mp_mod_d.o bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o \ +bn_mp_montgomery_setup.o bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_neg.o \ +bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_is_divisible.o \ +bn_mp_prime_is_prime.o bn_mp_prime_miller_rabin.o bn_mp_prime_next_prime.o \ +bn_mp_prime_rabin_miller_trials.o bn_mp_prime_random_ex.o bn_mp_radix_size.o bn_mp_radix_smap.o \ +bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o bn_mp_read_unsigned_bin.o bn_mp_reduce_2k.o \ +bn_mp_reduce_2k_l.o bn_mp_reduce_2k_setup.o bn_mp_reduce_2k_setup_l.o bn_mp_reduce.o \ +bn_mp_reduce_is_2k.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_setup.o bn_mp_rshd.o bn_mp_set.o bn_mp_set_int.o \ +bn_mp_set_long.o bn_mp_set_long_long.o bn_mp_shrink.o bn_mp_signed_bin_size.o bn_mp_sqr.o bn_mp_sqrmod.o \ +bn_mp_sqrt.o bn_mp_sqrtmod_prime.o bn_mp_sub.o bn_mp_sub_d.o bn_mp_submod.o bn_mp_toom_mul.o \ +bn_mp_toom_sqr.o bn_mp_toradix.o bn_mp_toradix_n.o bn_mp_to_signed_bin.o bn_mp_to_signed_bin_n.o \ +bn_mp_to_unsigned_bin.o bn_mp_to_unsigned_bin_n.o bn_mp_unsigned_bin_size.o bn_mp_xor.o bn_mp_zero.o \ +bn_prime_tab.o bn_reverse.o bn_s_mp_add.o bn_s_mp_exptmod.o bn_s_mp_mul_digs.o bn_s_mp_mul_high_digs.o \ +bn_s_mp_sqr.o bn_s_mp_sub.o + +#END_INS + +HEADERS=tommath.h tommath_class.h tommath_superclass.h # make a Windows DLL via Cygwin windll: $(OBJECTS) diff --git a/libtommath/makefile.icc b/libtommath/makefile.icc index cf70ab0..1563802 100644 --- a/libtommath/makefile.icc +++ b/libtommath/makefile.icc @@ -11,7 +11,7 @@ CFLAGS += -I./ # -ax? specifies make code specifically for ? but compatible with IA-32 # -x? specifies compile solely for ? [not specifically IA-32 compatible] # -# where ? is +# where ? is # K - PIII # W - first P4 [Williamette] # N - P4 Northwood @@ -29,7 +29,6 @@ default: libtommath.a #default files to install LIBNAME=libtommath.a -HEADERS=tommath.h #LIBPATH-The directory for libtomcrypt to be installed to. #INCPATH-The directory to install the header files for libtommath. @@ -39,33 +38,35 @@ LIBPATH=/usr/lib INCPATH=/usr/include DATAPATH=/usr/share/doc/libtommath/pdf -OBJECTS=bncore.o bn_mp_init.o bn_mp_clear.o bn_mp_exch.o bn_mp_grow.o bn_mp_shrink.o \ -bn_mp_clamp.o bn_mp_zero.o bn_mp_set.o bn_mp_set_int.o bn_mp_init_size.o bn_mp_copy.o \ -bn_mp_init_copy.o bn_mp_abs.o bn_mp_neg.o bn_mp_cmp_mag.o bn_mp_cmp.o bn_mp_cmp_d.o \ -bn_mp_rshd.o bn_mp_lshd.o bn_mp_mod_2d.o bn_mp_div_2d.o bn_mp_mul_2d.o bn_mp_div_2.o \ -bn_mp_mul_2.o bn_s_mp_add.o bn_s_mp_sub.o bn_fast_s_mp_mul_digs.o bn_s_mp_mul_digs.o \ -bn_fast_s_mp_mul_high_digs.o bn_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_s_mp_sqr.o \ -bn_mp_add.o bn_mp_sub.o bn_mp_karatsuba_mul.o bn_mp_mul.o bn_mp_karatsuba_sqr.o \ -bn_mp_sqr.o bn_mp_div.o bn_mp_mod.o bn_mp_add_d.o bn_mp_sub_d.o bn_mp_mul_d.o \ -bn_mp_div_d.o bn_mp_mod_d.o bn_mp_expt_d.o bn_mp_addmod.o bn_mp_submod.o \ -bn_mp_mulmod.o bn_mp_sqrmod.o bn_mp_gcd.o bn_mp_lcm.o bn_fast_mp_invmod.o bn_mp_invmod.o \ -bn_mp_reduce.o bn_mp_montgomery_setup.o bn_fast_mp_montgomery_reduce.o bn_mp_montgomery_reduce.o \ -bn_mp_exptmod_fast.o bn_mp_exptmod.o bn_mp_2expt.o bn_mp_n_root.o bn_mp_jacobi.o bn_reverse.o \ -bn_mp_count_bits.o bn_mp_read_unsigned_bin.o bn_mp_read_signed_bin.o bn_mp_to_unsigned_bin.o \ -bn_mp_to_signed_bin.o bn_mp_unsigned_bin_size.o bn_mp_signed_bin_size.o \ -bn_mp_xor.o bn_mp_and.o bn_mp_or.o bn_mp_rand.o bn_mp_montgomery_calc_normalization.o \ -bn_mp_prime_is_divisible.o bn_prime_tab.o bn_mp_prime_fermat.o bn_mp_prime_miller_rabin.o \ -bn_mp_prime_is_prime.o bn_mp_prime_next_prime.o bn_mp_dr_reduce.o \ -bn_mp_dr_is_modulus.o bn_mp_dr_setup.o bn_mp_reduce_setup.o \ -bn_mp_toom_mul.o bn_mp_toom_sqr.o bn_mp_div_3.o bn_s_mp_exptmod.o \ -bn_mp_reduce_2k.o bn_mp_reduce_is_2k.o bn_mp_reduce_2k_setup.o \ -bn_mp_reduce_2k_l.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_2k_setup_l.o \ -bn_mp_radix_smap.o bn_mp_read_radix.o bn_mp_toradix.o bn_mp_radix_size.o \ -bn_mp_fread.o bn_mp_fwrite.o bn_mp_cnt_lsb.o bn_error.o \ -bn_mp_init_multi.o bn_mp_clear_multi.o bn_mp_exteuclid.o bn_mp_toradix_n.o \ -bn_mp_prime_random_ex.o bn_mp_get_int.o bn_mp_sqrt.o bn_mp_is_square.o bn_mp_init_set.o \ -bn_mp_init_set_int.o bn_mp_invmod_slow.o bn_mp_prime_rabin_miller_trials.o \ -bn_mp_to_signed_bin_n.o bn_mp_to_unsigned_bin_n.o +#START_INS +OBJECTS=bncore.o bn_error.o bn_fast_mp_invmod.o bn_fast_mp_montgomery_reduce.o bn_fast_s_mp_mul_digs.o \ +bn_fast_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_mp_2expt.o bn_mp_abs.o bn_mp_add.o bn_mp_add_d.o \ +bn_mp_addmod.o bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp_cmp.o bn_mp_cmp_d.o \ +bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o \ +bn_mp_div.o bn_mp_div_d.o bn_mp_dr_is_modulus.o bn_mp_dr_reduce.o bn_mp_dr_setup.o bn_mp_exch.o \ +bn_mp_export.o bn_mp_expt_d.o bn_mp_expt_d_ex.o bn_mp_exptmod.o bn_mp_exptmod_fast.o bn_mp_exteuclid.o \ +bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_int.o bn_mp_get_long.o bn_mp_get_long_long.o \ +bn_mp_grow.o bn_mp_import.o bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o \ +bn_mp_init_set_int.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_invmod_slow.o bn_mp_is_square.o \ +bn_mp_jacobi.o bn_mp_karatsuba_mul.o bn_mp_karatsuba_sqr.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod_2d.o \ +bn_mp_mod.o bn_mp_mod_d.o bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o \ +bn_mp_montgomery_setup.o bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_neg.o \ +bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_is_divisible.o \ +bn_mp_prime_is_prime.o bn_mp_prime_miller_rabin.o bn_mp_prime_next_prime.o \ +bn_mp_prime_rabin_miller_trials.o bn_mp_prime_random_ex.o bn_mp_radix_size.o bn_mp_radix_smap.o \ +bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o bn_mp_read_unsigned_bin.o bn_mp_reduce_2k.o \ +bn_mp_reduce_2k_l.o bn_mp_reduce_2k_setup.o bn_mp_reduce_2k_setup_l.o bn_mp_reduce.o \ +bn_mp_reduce_is_2k.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_setup.o bn_mp_rshd.o bn_mp_set.o bn_mp_set_int.o \ +bn_mp_set_long.o bn_mp_set_long_long.o bn_mp_shrink.o bn_mp_signed_bin_size.o bn_mp_sqr.o bn_mp_sqrmod.o \ +bn_mp_sqrt.o bn_mp_sqrtmod_prime.o bn_mp_sub.o bn_mp_sub_d.o bn_mp_submod.o bn_mp_toom_mul.o \ +bn_mp_toom_sqr.o bn_mp_toradix.o bn_mp_toradix_n.o bn_mp_to_signed_bin.o bn_mp_to_signed_bin_n.o \ +bn_mp_to_unsigned_bin.o bn_mp_to_unsigned_bin_n.o bn_mp_unsigned_bin_size.o bn_mp_xor.o bn_mp_zero.o \ +bn_prime_tab.o bn_reverse.o bn_s_mp_add.o bn_s_mp_exptmod.o bn_s_mp_mul_digs.o bn_s_mp_mul_high_digs.o \ +bn_s_mp_sqr.o bn_s_mp_sub.o + +#END_INS + +HEADERS=tommath.h tommath_class.h tommath_superclass.h libtommath.a: $(OBJECTS) $(AR) $(ARFLAGS) libtommath.a $(OBJECTS) @@ -75,7 +76,7 @@ libtommath.a: $(OBJECTS) # # This will build the library with profile generation # then run the test demo and rebuild the library. -# +# # So far I've seen improvements in the MP math profiled: make -f makefile.icc CFLAGS="$(CFLAGS) -prof_gen -DTESTING" timing @@ -83,7 +84,7 @@ profiled: rm -f *.a *.o ltmtest make -f makefile.icc CFLAGS="$(CFLAGS) -prof_use" -#make a single object profiled library +#make a single object profiled library profiled_single: perl gen.pl $(CC) $(CFLAGS) -prof_gen -DTESTING -c mpi.c -o mpi.o @@ -92,7 +93,7 @@ profiled_single: rm -f *.o ltmtest $(CC) $(CFLAGS) -prof_use -ip -DTESTING -c mpi.c -o mpi.o $(AR) $(ARFLAGS) libtommath.a mpi.o - ranlib libtommath.a + ranlib libtommath.a install: libtommath.a install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(LIBPATH) @@ -102,10 +103,10 @@ install: libtommath.a test: libtommath.a demo/demo.o $(CC) demo/demo.o libtommath.a -o test - -mtest: test + +mtest: test cd mtest ; $(CC) $(CFLAGS) mtest.c -o mtest - + timing: libtommath.a $(CC) $(CFLAGS) -DTIMER demo/timing.c libtommath.a -o ltmtest diff --git a/libtommath/makefile.include b/libtommath/makefile.include new file mode 100644 index 0000000..c862f0f --- /dev/null +++ b/libtommath/makefile.include @@ -0,0 +1,105 @@ +# +# Include makefile for libtommath +# + +#version of library +VERSION=1.0 +VERSION_SO=1:0 + +# default make target +default: ${LIBNAME} + +# Compiler and Linker Names +ifndef PREFIX + PREFIX= +endif + +ifeq ($(CC),cc) + CC = $(PREFIX)gcc +endif +LD=$(PREFIX)ld +AR=$(PREFIX)ar +RANLIB=$(PREFIX)ranlib + +ifndef MAKE + MAKE=make +endif + +CFLAGS += -I./ -Wall -Wsign-compare -Wextra -Wshadow + +ifndef NO_ADDTL_WARNINGS +# additional warnings +CFLAGS += -Wsystem-headers -Wdeclaration-after-statement -Wbad-function-cast -Wcast-align +CFLAGS += -Wstrict-prototypes -Wpointer-arith +endif + +ifdef COMPILE_DEBUG +#debug +CFLAGS += -g3 +else + +ifdef COMPILE_SIZE +#for size +CFLAGS += -Os +else + +ifndef IGNORE_SPEED +#for speed +CFLAGS += -O3 -funroll-loops + +#x86 optimizations [should be valid for any GCC install though] +CFLAGS += -fomit-frame-pointer +endif + +endif # COMPILE_SIZE +endif # COMPILE_DEBUG + +# adjust coverage set +ifneq ($(filter $(shell arch), i386 i686 x86_64 amd64 ia64),) + COVERAGE = test_standalone timing + COVERAGE_APP = ./test && ./ltmtest +else + COVERAGE = test_standalone + COVERAGE_APP = ./test +endif + +HEADERS_PUB=tommath.h tommath_class.h tommath_superclass.h +HEADERS=tommath_private.h $(HEADERS_PUB) + +test_standalone: CFLAGS+=-DLTM_DEMO_TEST_VS_MTEST=0 + +#LIBPATH-The directory for libtommath to be installed to. +#INCPATH-The directory to install the header files for libtommath. +#DATAPATH-The directory to install the pdf docs. +LIBPATH?=/usr/lib +INCPATH?=/usr/include +DATAPATH?=/usr/share/doc/libtommath/pdf + +#make the code coverage of the library +# +coverage: CFLAGS += -fprofile-arcs -ftest-coverage -DTIMING_NO_LOGS +coverage: LFLAGS += -lgcov +coverage: LDFLAGS += -lgcov + +coverage: $(COVERAGE) + $(COVERAGE_APP) + +lcov: coverage + rm -f coverage.info + lcov --capture --no-external --no-recursion $(LCOV_ARGS) --output-file coverage.info -q + genhtml coverage.info --output-directory coverage -q + +# target that removes all coverage output +cleancov-clean: + rm -f `find . -type f -name "*.info" | xargs` + rm -rf coverage/ + +# cleans everything - coverage output and standard 'clean' +cleancov: cleancov-clean clean + +clean: + rm -f *.gcda *.gcno *.bat *.o *.a *.obj *.lib *.exe *.dll etclib/*.o demo/demo.o test ltmtest mpitest mtest/mtest mtest/mtest.exe \ + *.idx *.toc *.log *.aux *.dvi *.lof *.ind *.ilg *.ps *.log *.s mpi.c *.da *.dyn *.dpi tommath.tex `find . -type f | grep [~] | xargs` *.lo *.la + rm -rf .libs/ + cd etc ; MAKE=${MAKE} ${MAKE} clean + cd pics ; MAKE=${MAKE} ${MAKE} clean diff --git a/libtommath/makefile.msvc b/libtommath/makefile.msvc index 5edebec..a47aadd 100644 --- a/libtommath/makefile.msvc +++ b/libtommath/makefile.msvc @@ -6,33 +6,33 @@ CFLAGS = /I. /Ox /DWIN32 /W3 /Fo$@ default: library -OBJECTS=bncore.obj bn_mp_init.obj bn_mp_clear.obj bn_mp_exch.obj bn_mp_grow.obj bn_mp_shrink.obj \ -bn_mp_clamp.obj bn_mp_zero.obj bn_mp_set.obj bn_mp_set_int.obj bn_mp_init_size.obj bn_mp_copy.obj \ -bn_mp_init_copy.obj bn_mp_abs.obj bn_mp_neg.obj bn_mp_cmp_mag.obj bn_mp_cmp.obj bn_mp_cmp_d.obj \ -bn_mp_rshd.obj bn_mp_lshd.obj bn_mp_mod_2d.obj bn_mp_div_2d.obj bn_mp_mul_2d.obj bn_mp_div_2.obj \ -bn_mp_mul_2.obj bn_s_mp_add.obj bn_s_mp_sub.obj bn_fast_s_mp_mul_digs.obj bn_s_mp_mul_digs.obj \ -bn_fast_s_mp_mul_high_digs.obj bn_s_mp_mul_high_digs.obj bn_fast_s_mp_sqr.obj bn_s_mp_sqr.obj \ -bn_mp_add.obj bn_mp_sub.obj bn_mp_karatsuba_mul.obj bn_mp_mul.obj bn_mp_karatsuba_sqr.obj \ -bn_mp_sqr.obj bn_mp_div.obj bn_mp_mod.obj bn_mp_add_d.obj bn_mp_sub_d.obj bn_mp_mul_d.obj \ -bn_mp_div_d.obj bn_mp_mod_d.obj bn_mp_expt_d.obj bn_mp_addmod.obj bn_mp_submod.obj \ -bn_mp_mulmod.obj bn_mp_sqrmod.obj bn_mp_gcd.obj bn_mp_lcm.obj bn_fast_mp_invmod.obj bn_mp_invmod.obj \ -bn_mp_reduce.obj bn_mp_montgomery_setup.obj bn_fast_mp_montgomery_reduce.obj bn_mp_montgomery_reduce.obj \ -bn_mp_exptmod_fast.obj bn_mp_exptmod.obj bn_mp_2expt.obj bn_mp_n_root.obj bn_mp_jacobi.obj bn_reverse.obj \ -bn_mp_count_bits.obj bn_mp_read_unsigned_bin.obj bn_mp_read_signed_bin.obj bn_mp_to_unsigned_bin.obj \ -bn_mp_to_signed_bin.obj bn_mp_unsigned_bin_size.obj bn_mp_signed_bin_size.obj \ -bn_mp_xor.obj bn_mp_and.obj bn_mp_or.obj bn_mp_rand.obj bn_mp_montgomery_calc_normalization.obj \ -bn_mp_prime_is_divisible.obj bn_prime_tab.obj bn_mp_prime_fermat.obj bn_mp_prime_miller_rabin.obj \ -bn_mp_prime_is_prime.obj bn_mp_prime_next_prime.obj bn_mp_dr_reduce.obj \ -bn_mp_dr_is_modulus.obj bn_mp_dr_setup.obj bn_mp_reduce_setup.obj \ -bn_mp_toom_mul.obj bn_mp_toom_sqr.obj bn_mp_div_3.obj bn_s_mp_exptmod.obj \ -bn_mp_reduce_2k.obj bn_mp_reduce_is_2k.obj bn_mp_reduce_2k_setup.obj \ -bn_mp_reduce_2k_l.obj bn_mp_reduce_is_2k_l.obj bn_mp_reduce_2k_setup_l.obj \ -bn_mp_radix_smap.obj bn_mp_read_radix.obj bn_mp_toradix.obj bn_mp_radix_size.obj \ -bn_mp_fread.obj bn_mp_fwrite.obj bn_mp_cnt_lsb.obj bn_error.obj \ -bn_mp_init_multi.obj bn_mp_clear_multi.obj bn_mp_exteuclid.obj bn_mp_toradix_n.obj \ -bn_mp_prime_random_ex.obj bn_mp_get_int.obj bn_mp_sqrt.obj bn_mp_is_square.obj \ -bn_mp_init_set.obj bn_mp_init_set_int.obj bn_mp_invmod_slow.obj bn_mp_prime_rabin_miller_trials.obj \ -bn_mp_to_signed_bin_n.obj bn_mp_to_unsigned_bin_n.obj +#START_INS +OBJECTS=bncore.obj bn_error.obj bn_fast_mp_invmod.obj bn_fast_mp_montgomery_reduce.obj bn_fast_s_mp_mul_digs.obj \ +bn_fast_s_mp_mul_high_digs.obj bn_fast_s_mp_sqr.obj bn_mp_2expt.obj bn_mp_abs.obj bn_mp_add.obj bn_mp_add_d.obj \ +bn_mp_addmod.obj bn_mp_and.obj bn_mp_clamp.obj bn_mp_clear.obj bn_mp_clear_multi.obj bn_mp_cmp.obj bn_mp_cmp_d.obj \ +bn_mp_cmp_mag.obj bn_mp_cnt_lsb.obj bn_mp_copy.obj bn_mp_count_bits.obj bn_mp_div_2.obj bn_mp_div_2d.obj bn_mp_div_3.obj \ +bn_mp_div.obj bn_mp_div_d.obj bn_mp_dr_is_modulus.obj bn_mp_dr_reduce.obj bn_mp_dr_setup.obj bn_mp_exch.obj \ +bn_mp_export.obj bn_mp_expt_d.obj bn_mp_expt_d_ex.obj bn_mp_exptmod.obj bn_mp_exptmod_fast.obj bn_mp_exteuclid.obj \ +bn_mp_fread.obj bn_mp_fwrite.obj bn_mp_gcd.obj bn_mp_get_int.obj bn_mp_get_long.obj bn_mp_get_long_long.obj \ +bn_mp_grow.obj bn_mp_import.obj bn_mp_init.obj bn_mp_init_copy.obj bn_mp_init_multi.obj bn_mp_init_set.obj \ +bn_mp_init_set_int.obj bn_mp_init_size.obj bn_mp_invmod.obj bn_mp_invmod_slow.obj bn_mp_is_square.obj \ +bn_mp_jacobi.obj bn_mp_karatsuba_mul.obj bn_mp_karatsuba_sqr.obj bn_mp_lcm.obj bn_mp_lshd.obj bn_mp_mod_2d.obj \ +bn_mp_mod.obj bn_mp_mod_d.obj bn_mp_montgomery_calc_normalization.obj bn_mp_montgomery_reduce.obj \ +bn_mp_montgomery_setup.obj bn_mp_mul_2.obj bn_mp_mul_2d.obj bn_mp_mul.obj bn_mp_mul_d.obj bn_mp_mulmod.obj bn_mp_neg.obj \ +bn_mp_n_root.obj bn_mp_n_root_ex.obj bn_mp_or.obj bn_mp_prime_fermat.obj bn_mp_prime_is_divisible.obj \ +bn_mp_prime_is_prime.obj bn_mp_prime_miller_rabin.obj bn_mp_prime_next_prime.obj \ +bn_mp_prime_rabin_miller_trials.obj bn_mp_prime_random_ex.obj bn_mp_radix_size.obj bn_mp_radix_smap.obj \ +bn_mp_rand.obj bn_mp_read_radix.obj bn_mp_read_signed_bin.obj bn_mp_read_unsigned_bin.obj bn_mp_reduce_2k.obj \ +bn_mp_reduce_2k_l.obj bn_mp_reduce_2k_setup.obj bn_mp_reduce_2k_setup_l.obj bn_mp_reduce.obj \ +bn_mp_reduce_is_2k.obj bn_mp_reduce_is_2k_l.obj bn_mp_reduce_setup.obj bn_mp_rshd.obj bn_mp_set.obj bn_mp_set_int.obj \ +bn_mp_set_long.obj bn_mp_set_long_long.obj bn_mp_shrink.obj bn_mp_signed_bin_size.obj bn_mp_sqr.obj bn_mp_sqrmod.obj \ +bn_mp_sqrt.obj bn_mp_sqrtmod_prime.obj bn_mp_sub.obj bn_mp_sub_d.obj bn_mp_submod.obj bn_mp_toom_mul.obj \ +bn_mp_toom_sqr.obj bn_mp_toradix.obj bn_mp_toradix_n.obj bn_mp_to_signed_bin.obj bn_mp_to_signed_bin_n.obj \ +bn_mp_to_unsigned_bin.obj bn_mp_to_unsigned_bin_n.obj bn_mp_unsigned_bin_size.obj bn_mp_xor.obj bn_mp_zero.obj \ +bn_prime_tab.obj bn_reverse.obj bn_s_mp_add.obj bn_s_mp_exptmod.obj bn_s_mp_mul_digs.obj bn_s_mp_mul_high_digs.obj \ +bn_s_mp_sqr.obj bn_s_mp_sub.obj + +#END_INS HEADERS=tommath.h tommath_class.h tommath_superclass.h diff --git a/libtommath/makefile.shared b/libtommath/makefile.shared index f17bbbd..559720e 100644 --- a/libtommath/makefile.shared +++ b/libtommath/makefile.shared @@ -1,102 +1,71 @@ #Makefile for GCC # #Tom St Denis -VERSION=0:41 - -CC = libtool --mode=compile --tag=CC gcc - -CFLAGS += -I./ -Wall -W -Wshadow -Wsign-compare - -ifndef IGNORE_SPEED - -#for speed -CFLAGS += -O3 -funroll-loops - -#for size -#CFLAGS += -Os - -#x86 optimizations [should be valid for any GCC install though] -CFLAGS += -fomit-frame-pointer - -endif - -#install as this user -ifndef INSTALL_GROUP - GROUP=wheel -else - GROUP=$(INSTALL_GROUP) -endif - -ifndef INSTALL_USER - USER=root -else - USER=$(INSTALL_USER) -endif - -default: libtommath.la #default files to install ifndef LIBNAME LIBNAME=libtommath.la endif -ifndef LIBNAME_S - LIBNAME_S=libtommath.a -endif -HEADERS=tommath.h tommath_class.h tommath_superclass.h - -#LIBPATH-The directory for libtommath to be installed to. -#INCPATH-The directory to install the header files for libtommath. -#DATAPATH-The directory to install the pdf docs. -DESTDIR= -LIBPATH=/usr/lib -INCPATH=/usr/include -DATAPATH=/usr/share/doc/libtommath/pdf -OBJECTS=bncore.o bn_mp_init.o bn_mp_clear.o bn_mp_exch.o bn_mp_grow.o bn_mp_shrink.o \ -bn_mp_clamp.o bn_mp_zero.o bn_mp_set.o bn_mp_set_int.o bn_mp_init_size.o bn_mp_copy.o \ -bn_mp_init_copy.o bn_mp_abs.o bn_mp_neg.o bn_mp_cmp_mag.o bn_mp_cmp.o bn_mp_cmp_d.o \ -bn_mp_rshd.o bn_mp_lshd.o bn_mp_mod_2d.o bn_mp_div_2d.o bn_mp_mul_2d.o bn_mp_div_2.o \ -bn_mp_mul_2.o bn_s_mp_add.o bn_s_mp_sub.o bn_fast_s_mp_mul_digs.o bn_s_mp_mul_digs.o \ -bn_fast_s_mp_mul_high_digs.o bn_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_s_mp_sqr.o \ -bn_mp_add.o bn_mp_sub.o bn_mp_karatsuba_mul.o bn_mp_mul.o bn_mp_karatsuba_sqr.o \ -bn_mp_sqr.o bn_mp_div.o bn_mp_mod.o bn_mp_add_d.o bn_mp_sub_d.o bn_mp_mul_d.o \ -bn_mp_div_d.o bn_mp_mod_d.o bn_mp_expt_d.o bn_mp_addmod.o bn_mp_submod.o \ -bn_mp_mulmod.o bn_mp_sqrmod.o bn_mp_gcd.o bn_mp_lcm.o bn_fast_mp_invmod.o bn_mp_invmod.o \ -bn_mp_reduce.o bn_mp_montgomery_setup.o bn_fast_mp_montgomery_reduce.o bn_mp_montgomery_reduce.o \ -bn_mp_exptmod_fast.o bn_mp_exptmod.o bn_mp_2expt.o bn_mp_n_root.o bn_mp_jacobi.o bn_reverse.o \ -bn_mp_count_bits.o bn_mp_read_unsigned_bin.o bn_mp_read_signed_bin.o bn_mp_to_unsigned_bin.o \ -bn_mp_to_signed_bin.o bn_mp_unsigned_bin_size.o bn_mp_signed_bin_size.o \ -bn_mp_xor.o bn_mp_and.o bn_mp_or.o bn_mp_rand.o bn_mp_montgomery_calc_normalization.o \ -bn_mp_prime_is_divisible.o bn_prime_tab.o bn_mp_prime_fermat.o bn_mp_prime_miller_rabin.o \ -bn_mp_prime_is_prime.o bn_mp_prime_next_prime.o bn_mp_dr_reduce.o \ -bn_mp_dr_is_modulus.o bn_mp_dr_setup.o bn_mp_reduce_setup.o \ -bn_mp_toom_mul.o bn_mp_toom_sqr.o bn_mp_div_3.o bn_s_mp_exptmod.o \ -bn_mp_reduce_2k.o bn_mp_reduce_is_2k.o bn_mp_reduce_2k_setup.o \ -bn_mp_reduce_2k_l.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_2k_setup_l.o \ -bn_mp_radix_smap.o bn_mp_read_radix.o bn_mp_toradix.o bn_mp_radix_size.o \ -bn_mp_fread.o bn_mp_fwrite.o bn_mp_cnt_lsb.o bn_error.o \ -bn_mp_init_multi.o bn_mp_clear_multi.o bn_mp_exteuclid.o bn_mp_toradix_n.o \ -bn_mp_prime_random_ex.o bn_mp_get_int.o bn_mp_sqrt.o bn_mp_is_square.o bn_mp_init_set.o \ -bn_mp_init_set_int.o bn_mp_invmod_slow.o bn_mp_prime_rabin_miller_trials.o \ -bn_mp_to_signed_bin_n.o bn_mp_to_unsigned_bin_n.o +include makefile.include + +LT ?= libtool +LTCOMPILE = $(LT) --mode=compile --tag=CC $(CC) + +LCOV_ARGS=--directory .libs --directory . + +#START_INS +OBJECTS=bncore.o bn_error.o bn_fast_mp_invmod.o bn_fast_mp_montgomery_reduce.o bn_fast_s_mp_mul_digs.o \ +bn_fast_s_mp_mul_high_digs.o bn_fast_s_mp_sqr.o bn_mp_2expt.o bn_mp_abs.o bn_mp_add.o bn_mp_add_d.o \ +bn_mp_addmod.o bn_mp_and.o bn_mp_clamp.o bn_mp_clear.o bn_mp_clear_multi.o bn_mp_cmp.o bn_mp_cmp_d.o \ +bn_mp_cmp_mag.o bn_mp_cnt_lsb.o bn_mp_copy.o bn_mp_count_bits.o bn_mp_div_2.o bn_mp_div_2d.o bn_mp_div_3.o \ +bn_mp_div.o bn_mp_div_d.o bn_mp_dr_is_modulus.o bn_mp_dr_reduce.o bn_mp_dr_setup.o bn_mp_exch.o \ +bn_mp_export.o bn_mp_expt_d.o bn_mp_expt_d_ex.o bn_mp_exptmod.o bn_mp_exptmod_fast.o bn_mp_exteuclid.o \ +bn_mp_fread.o bn_mp_fwrite.o bn_mp_gcd.o bn_mp_get_int.o bn_mp_get_long.o bn_mp_get_long_long.o \ +bn_mp_grow.o bn_mp_import.o bn_mp_init.o bn_mp_init_copy.o bn_mp_init_multi.o bn_mp_init_set.o \ +bn_mp_init_set_int.o bn_mp_init_size.o bn_mp_invmod.o bn_mp_invmod_slow.o bn_mp_is_square.o \ +bn_mp_jacobi.o bn_mp_karatsuba_mul.o bn_mp_karatsuba_sqr.o bn_mp_lcm.o bn_mp_lshd.o bn_mp_mod_2d.o \ +bn_mp_mod.o bn_mp_mod_d.o bn_mp_montgomery_calc_normalization.o bn_mp_montgomery_reduce.o \ +bn_mp_montgomery_setup.o bn_mp_mul_2.o bn_mp_mul_2d.o bn_mp_mul.o bn_mp_mul_d.o bn_mp_mulmod.o bn_mp_neg.o \ +bn_mp_n_root.o bn_mp_n_root_ex.o bn_mp_or.o bn_mp_prime_fermat.o bn_mp_prime_is_divisible.o \ +bn_mp_prime_is_prime.o bn_mp_prime_miller_rabin.o bn_mp_prime_next_prime.o \ +bn_mp_prime_rabin_miller_trials.o bn_mp_prime_random_ex.o bn_mp_radix_size.o bn_mp_radix_smap.o \ +bn_mp_rand.o bn_mp_read_radix.o bn_mp_read_signed_bin.o bn_mp_read_unsigned_bin.o bn_mp_reduce_2k.o \ +bn_mp_reduce_2k_l.o bn_mp_reduce_2k_setup.o bn_mp_reduce_2k_setup_l.o bn_mp_reduce.o \ +bn_mp_reduce_is_2k.o bn_mp_reduce_is_2k_l.o bn_mp_reduce_setup.o bn_mp_rshd.o bn_mp_set.o bn_mp_set_int.o \ +bn_mp_set_long.o bn_mp_set_long_long.o bn_mp_shrink.o bn_mp_signed_bin_size.o bn_mp_sqr.o bn_mp_sqrmod.o \ +bn_mp_sqrt.o bn_mp_sqrtmod_prime.o bn_mp_sub.o bn_mp_sub_d.o bn_mp_submod.o bn_mp_toom_mul.o \ +bn_mp_toom_sqr.o bn_mp_toradix.o bn_mp_toradix_n.o bn_mp_to_signed_bin.o bn_mp_to_signed_bin_n.o \ +bn_mp_to_unsigned_bin.o bn_mp_to_unsigned_bin_n.o bn_mp_unsigned_bin_size.o bn_mp_xor.o bn_mp_zero.o \ +bn_prime_tab.o bn_reverse.o bn_s_mp_add.o bn_s_mp_exptmod.o bn_s_mp_mul_digs.o bn_s_mp_mul_high_digs.o \ +bn_s_mp_sqr.o bn_s_mp_sub.o + +#END_INS objs: $(OBJECTS) +.c.o: + $(LTCOMPILE) $(CFLAGS) $(LDFLAGS) -o $@ -c $< + $(LIBNAME): $(OBJECTS) - libtool --mode=link gcc *.lo -o $(LIBNAME) -rpath $(LIBPATH) -version-info $(VERSION) + $(LT) --mode=link --tag=CC $(CC) $(LDFLAGS) *.lo -o $(LIBNAME) -rpath $(LIBPATH) -version-info $(VERSION_SO) install: $(LIBNAME) - install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(LIBPATH) - libtool --mode=install install -c $(LIBNAME) $(DESTDIR)$(LIBPATH)/$(LIBNAME) - install -d -g $(GROUP) -o $(USER) $(DESTDIR)$(INCPATH) - install -g $(GROUP) -o $(USER) $(HEADERS) $(DESTDIR)$(INCPATH) + install -d $(DESTDIR)$(LIBPATH) + install -d $(DESTDIR)$(INCPATH) + $(LT) --mode=install install -c $(LIBNAME) $(DESTDIR)$(LIBPATH)/$(LIBNAME) + install -m 644 $(HEADERS_PUB) $(DESTDIR)$(INCPATH) test: $(LIBNAME) demo/demo.o - gcc $(CFLAGS) -c demo/demo.c -o demo/demo.o - libtool --mode=link gcc -o test demo/demo.o $(LIBNAME_S) - -mtest: test - cd mtest ; gcc $(CFLAGS) mtest.c -o mtest - + $(CC) $(CFLAGS) -c demo/demo.c -o demo/demo.o + $(LT) --mode=link $(CC) $(LDFLAGS) -o test demo/demo.o $(LIBNAME) + +test_standalone: $(LIBNAME) demo/demo.o + $(CC) $(CFLAGS) -c demo/demo.c -o demo/demo.o + $(LT) --mode=link $(CC) $(LDFLAGS) -o test demo/demo.o $(LIBNAME) + +mtest: + cd mtest ; $(CC) $(CFLAGS) $(LDFLAGS) mtest.c -o mtest + timing: $(LIBNAME) - gcc $(CFLAGS) -DTIMER demo/timing.c $(LIBNAME_S) -o ltmtest + $(LT) --mode=link $(CC) $(CFLAGS) $(LDFLAGS) -DTIMER demo/timing.c $(LIBNAME) -o ltmtest diff --git a/libtommath/mtest/logtab.h b/libtommath/mtest/logtab.h index 04c1ad3..751111e 100644 --- a/libtommath/mtest/logtab.h +++ b/libtommath/mtest/logtab.h @@ -20,5 +20,5 @@ const float s_logv_2[] = { /* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/mtest/mpi-config.h b/libtommath/mtest/mpi-config.h index 21e72b2..fc2a885 100644 --- a/libtommath/mtest/mpi-config.h +++ b/libtommath/mtest/mpi-config.h @@ -1,5 +1,5 @@ /* Default configuration for MPI library */ -/* $ID$ */ +/* $Id$ */ #ifndef MPI_CONFIG_H_ #define MPI_CONFIG_H_ @@ -86,5 +86,5 @@ /* crc==3287762869, version==2, Sat Feb 02 06:43:53 2002 */ /* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/mtest/mpi-types.h b/libtommath/mtest/mpi-types.h index a90f11e..f99d7ee 100644 --- a/libtommath/mtest/mpi-types.h +++ b/libtommath/mtest/mpi-types.h @@ -16,5 +16,5 @@ typedef int mp_err; /* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/mtest/mpi.c b/libtommath/mtest/mpi.c index f6ef8c7..48dbe27 100644 --- a/libtommath/mtest/mpi.c +++ b/libtommath/mtest/mpi.c @@ -6,7 +6,7 @@ Arbitrary precision integer arithmetic library - $ID$ + $Id$ */ #include "mpi.h" @@ -22,7 +22,7 @@ #define DIAG(T,V) #endif -/* +/* If MP_LOGTAB is not defined, use the math library to compute the logarithms on the fly. Otherwise, use the static table below. Pick which works best for your system. @@ -33,7 +33,7 @@ /* A table of the logs of 2 for various bases (the 0 and 1 entries of - this table are meaningless and should not be referenced). + this table are meaningless and should not be referenced). This table is used to compute output lengths for the mp_toradix() function. Since a number n in radix r takes up about log_r(n) @@ -43,7 +43,7 @@ log_r(n) = log_2(n) * log_r(2) This table, therefore, is a table of log_r(2) for 2 <= r <= 36, - which are the output bases supported. + which are the output bases supported. */ #include "logtab.h" @@ -104,7 +104,7 @@ static const char *mp_err_string[] = { /* Value to digit maps for radix conversion */ /* s_dmap_1 - standard digits and letters */ -static const char *s_dmap_1 = +static const char *s_dmap_1 = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"; #if 0 @@ -117,7 +117,7 @@ static const char *s_dmap_2 = /* {{{ Static function declarations */ -/* +/* If MP_MACRO is false, these will be defined as actual functions; otherwise, suitable macro definitions will be used. This works around the fact that ANSI C89 doesn't support an 'inline' keyword @@ -258,7 +258,7 @@ mp_err mp_init_array(mp_int mp[], int count) return MP_OKAY; CLEANUP: - while(--pos >= 0) + while(--pos >= 0) mp_clear(&mp[pos]); return res; @@ -355,7 +355,7 @@ mp_err mp_copy(mp_int *from, mp_int *to) if(ALLOC(to) >= USED(from)) { s_mp_setz(DIGITS(to) + USED(from), ALLOC(to) - USED(from)); s_mp_copy(DIGITS(from), DIGITS(to), USED(from)); - + } else { if((tmp = s_mp_alloc(USED(from), sizeof(mp_digit))) == NULL) return MP_MEM; @@ -445,7 +445,7 @@ void mp_clear_array(mp_int mp[], int count) { ARGCHK(mp != NULL && count > 0, MP_BADARG); - while(--count >= 0) + while(--count >= 0) mp_clear(&mp[count]); } /* end mp_clear_array() */ @@ -455,7 +455,7 @@ void mp_clear_array(mp_int mp[], int count) /* {{{ mp_zero(mp) */ /* - mp_zero(mp) + mp_zero(mp) Set mp to zero. Does not change the allocated size of the structure, and therefore cannot fail (except on a bad argument, which we ignore) @@ -506,7 +506,7 @@ mp_err mp_set_int(mp_int *mp, long z) if((res = s_mp_mul_2d(mp, CHAR_BIT)) != MP_OKAY) return res; - res = s_mp_add_d(mp, + res = s_mp_add_d(mp, (mp_digit)((v >> (ix * CHAR_BIT)) & UCHAR_MAX)); if(res != MP_OKAY) return res; @@ -841,9 +841,9 @@ mp_err mp_neg(mp_int *a, mp_int *b) if((res = mp_copy(a, b)) != MP_OKAY) return res; - if(s_mp_cmp_d(b, 0) == MP_EQ) + if(s_mp_cmp_d(b, 0) == MP_EQ) SIGN(b) = MP_ZPOS; - else + else SIGN(b) = (SIGN(b) == MP_NEG) ? MP_ZPOS : MP_NEG; return MP_OKAY; @@ -870,7 +870,7 @@ mp_err mp_add(mp_int *a, mp_int *b, mp_int *c) if(SIGN(a) == SIGN(b)) { /* same sign: add values, keep sign */ /* Commutativity of addition lets us do this in either order, - so we avoid having to use a temporary even if the result + so we avoid having to use a temporary even if the result is supposed to replace the output */ if(c == b) { @@ -880,14 +880,14 @@ mp_err mp_add(mp_int *a, mp_int *b, mp_int *c) if(c != a && (res = mp_copy(a, c)) != MP_OKAY) return res; - if((res = s_mp_add(c, b)) != MP_OKAY) + if((res = s_mp_add(c, b)) != MP_OKAY) return res; } } else if((cmp = s_mp_cmp(a, b)) > 0) { /* different sign: a > b */ /* If the output is going to be clobbered, we will use a temporary - variable; otherwise, we'll do it without touching the memory + variable; otherwise, we'll do it without touching the memory allocator at all, if possible */ if(c == b) { @@ -1019,7 +1019,7 @@ mp_err mp_sub(mp_int *a, mp_int *b, mp_int *c) mp_clear(&tmp); } else { - if(c != b && ((res = mp_copy(b, c)) != MP_OKAY)) + if(c != b && ((res = mp_copy(b, c)) != MP_OKAY)) return res; if((res = s_mp_sub(c, a)) != MP_OKAY) @@ -1066,12 +1066,12 @@ mp_err mp_mul(mp_int *a, mp_int *b, mp_int *c) if((res = s_mp_mul(c, b)) != MP_OKAY) return res; } - + if(sgn == MP_ZPOS || s_mp_cmp_d(c, 0) == MP_EQ) SIGN(c) = MP_ZPOS; else SIGN(c) = sgn; - + return MP_OKAY; } /* end mp_mul() */ @@ -1160,7 +1160,7 @@ mp_err mp_div(mp_int *a, mp_int *b, mp_int *q, mp_int *r) return res; } - if(q) + if(q) mp_zero(q); return MP_OKAY; @@ -1206,10 +1206,10 @@ mp_err mp_div(mp_int *a, mp_int *b, mp_int *q, mp_int *r) SIGN(&rtmp) = MP_ZPOS; /* Copy output, if it is needed */ - if(q) + if(q) s_mp_exch(&qtmp, q); - if(r) + if(r) s_mp_exch(&rtmp, r); CLEANUP: @@ -1264,7 +1264,7 @@ mp_err mp_expt(mp_int *a, mp_int *b, mp_int *c) mp_int s, x; mp_err res; mp_digit d; - int dig, bit; + unsigned int bit, dig; ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); @@ -1286,12 +1286,12 @@ mp_err mp_expt(mp_int *a, mp_int *b, mp_int *c) /* Loop over bits of each non-maximal digit */ for(bit = 0; bit < DIGIT_BIT; bit++) { if(d & 1) { - if((res = s_mp_mul(&s, &x)) != MP_OKAY) + if((res = s_mp_mul(&s, &x)) != MP_OKAY) goto CLEANUP; } d >>= 1; - + if((res = s_mp_sqr(&x)) != MP_OKAY) goto CLEANUP; } @@ -1311,7 +1311,7 @@ mp_err mp_expt(mp_int *a, mp_int *b, mp_int *c) if((res = s_mp_sqr(&x)) != MP_OKAY) goto CLEANUP; } - + if(mp_iseven(b)) SIGN(&s) = SIGN(a); @@ -1362,7 +1362,7 @@ mp_err mp_mod(mp_int *a, mp_int *m, mp_int *c) /* If |a| > m, we need to divide to get the remainder and take the - absolute value. + absolute value. If |a| < m, we don't need to do any division, just copy and adjust the sign (if a is negative). @@ -1376,7 +1376,7 @@ mp_err mp_mod(mp_int *a, mp_int *m, mp_int *c) if((mag = s_mp_cmp(a, m)) > 0) { if((res = mp_div(a, m, NULL, c)) != MP_OKAY) return res; - + if(SIGN(c) == MP_NEG) { if((res = mp_add(c, m, c)) != MP_OKAY) return res; @@ -1391,7 +1391,7 @@ mp_err mp_mod(mp_int *a, mp_int *m, mp_int *c) return res; } - + } else { mp_zero(c); @@ -1464,9 +1464,9 @@ mp_err mp_sqrt(mp_int *a, mp_int *b) return MP_RANGE; /* Special cases for zero and one, trivial */ - if(mp_cmp_d(a, 0) == MP_EQ || mp_cmp_d(a, 1) == MP_EQ) + if(mp_cmp_d(a, 0) == MP_EQ || mp_cmp_d(a, 1) == MP_EQ) return mp_copy(a, b); - + /* Initialize the temporaries we'll use below */ if((res = mp_init_size(&t, USED(a))) != MP_OKAY) return res; @@ -1508,7 +1508,7 @@ mp_add_d(&x, 1, &x); CLEANUP: mp_clear(&x); X: - mp_clear(&t); + mp_clear(&t); return res; @@ -1626,7 +1626,7 @@ mp_err mp_sqrmod(mp_int *a, mp_int *m, mp_int *c) Compute c = (a ** b) mod m. Uses a standard square-and-multiply method with modular reductions at each step. (This is basically the same code as mp_expt(), except for the addition of the reductions) - + The modular reductions are done using Barrett's algorithm (see s_mp_reduce() below for details) */ @@ -1637,7 +1637,7 @@ mp_err mp_exptmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c) mp_err res; mp_digit d, *db = DIGITS(b); mp_size ub = USED(b); - int dig, bit; + unsigned int bit, dig; ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); @@ -1655,7 +1655,7 @@ mp_err mp_exptmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c) mp_set(&s, 1); /* mu = b^2k / m */ - s_mp_add_d(&mu, 1); + s_mp_add_d(&mu, 1); s_mp_lshd(&mu, 2 * USED(m)); if((res = mp_div(&mu, m, &mu, NULL)) != MP_OKAY) goto CLEANUP; @@ -1866,7 +1866,7 @@ int mp_cmp_int(mp_int *a, long z) int out; ARGCHK(a != NULL, MP_EQ); - + mp_init(&tmp); mp_set_int(&tmp, z); out = mp_cmp(a, &tmp); mp_clear(&tmp); @@ -1953,13 +1953,13 @@ mp_err mp_gcd(mp_int *a, mp_int *b, mp_int *c) if(mp_isodd(&u)) { if((res = mp_copy(&v, &t)) != MP_OKAY) goto CLEANUP; - + /* t = -v */ if(SIGN(&v) == MP_ZPOS) SIGN(&t) = MP_NEG; else SIGN(&t) = MP_ZPOS; - + } else { if((res = mp_copy(&u, &t)) != MP_OKAY) goto CLEANUP; @@ -2152,7 +2152,7 @@ mp_err mp_xgcd(mp_int *a, mp_int *b, mp_int *g, mp_int *x, mp_int *y) if(y) if((res = mp_copy(&D, y)) != MP_OKAY) goto CLEANUP; - + if(g) if((res = mp_mul(&gx, &v, g)) != MP_OKAY) goto CLEANUP; @@ -2255,7 +2255,7 @@ void mp_print(mp_int *mp, FILE *ofp) /* {{{ mp_read_signed_bin(mp, str, len) */ -/* +/* mp_read_signed_bin(mp, str, len) Read in a raw value (base 256) into the given mp_int @@ -2332,16 +2332,16 @@ mp_err mp_read_unsigned_bin(mp_int *mp, unsigned char *str, int len) if((res = mp_add_d(mp, str[ix], mp)) != MP_OKAY) return res; } - + return MP_OKAY; - + } /* end mp_read_unsigned_bin() */ /* }}} */ /* {{{ mp_unsigned_bin_size(mp) */ -int mp_unsigned_bin_size(mp_int *mp) +int mp_unsigned_bin_size(mp_int *mp) { mp_digit topdig; int count; @@ -2387,7 +2387,7 @@ mp_err mp_to_unsigned_bin(mp_int *mp, unsigned char *str) /* Generate digits in reverse order */ while(dp < end) { - int ix; + unsigned int ix; d = *dp; for(ix = 0; ix < sizeof(mp_digit); ++ix) { @@ -2440,7 +2440,7 @@ int mp_count_bits(mp_int *mp) } return len; - + } /* end mp_count_bits() */ /* }}} */ @@ -2462,14 +2462,14 @@ mp_err mp_read_radix(mp_int *mp, unsigned char *str, int radix) mp_err res; mp_sign sig = MP_ZPOS; - ARGCHK(mp != NULL && str != NULL && radix >= 2 && radix <= MAX_RADIX, + ARGCHK(mp != NULL && str != NULL && radix >= 2 && radix <= MAX_RADIX, MP_BADARG); mp_zero(mp); /* Skip leading non-digit characters until a digit or '-' or '+' */ - while(str[ix] && - (s_mp_tovalue(str[ix], radix) < 0) && + while(str[ix] && + (s_mp_tovalue(str[ix], radix) < 0) && str[ix] != '-' && str[ix] != '+') { ++ix; @@ -2525,7 +2525,7 @@ int mp_radix_size(mp_int *mp, int radix) /* num = number of digits qty = number of bits per digit radix = target base - + Return the number of digits in the specified radix that would be needed to express 'num' digits of 'qty' bits each. */ @@ -2541,7 +2541,7 @@ int mp_value_radix_size(int num, int qty, int radix) /* {{{ mp_toradix(mp, str, radix) */ -mp_err mp_toradix(mp_int *mp, unsigned char *str, int radix) +mp_err mp_toradix(mp_int *mp, char *str, int radix) { int ix, pos = 0; @@ -2587,14 +2587,14 @@ mp_err mp_toradix(mp_int *mp, unsigned char *str, int radix) /* Reverse the digits and sign indicator */ ix = 0; while(ix < pos) { - char tmp = str[ix]; + char _tmp = str[ix]; str[ix] = str[pos]; - str[pos] = tmp; + str[pos] = _tmp; ++ix; --pos; } - + mp_clear(&tmp); } @@ -2806,18 +2806,18 @@ void s_mp_exch(mp_int *a, mp_int *b) /* {{{ s_mp_lshd(mp, p) */ -/* +/* Shift mp leftward by p digits, growing if needed, and zero-filling the in-shifted digits at the right end. This is a convenient alternative to multiplication by powers of the radix - */ + */ mp_err s_mp_lshd(mp_int *mp, mp_size p) { mp_err res; mp_size pos; mp_digit *dp; - int ix; + int ix; if(p == 0) return MP_OKAY; @@ -2829,11 +2829,11 @@ mp_err s_mp_lshd(mp_int *mp, mp_size p) dp = DIGITS(mp); /* Shift all the significant figures over as needed */ - for(ix = pos - p; ix >= 0; ix--) + for(ix = pos - p; ix >= 0; ix--) dp[ix + p] = dp[ix]; /* Fill the bottom digits with zeroes */ - for(ix = 0; ix < p; ix++) + for(ix = 0; (unsigned)ix < p; ix++) dp[ix] = 0; return MP_OKAY; @@ -2844,7 +2844,7 @@ mp_err s_mp_lshd(mp_int *mp, mp_size p) /* {{{ s_mp_rshd(mp, p) */ -/* +/* Shift mp rightward by p digits. Maintains the invariant that digits above the precision are all zero. Digits shifted off the end are lost. Cannot fail. @@ -2898,7 +2898,7 @@ void s_mp_div_2(mp_int *mp) mp_err s_mp_mul_2(mp_int *mp) { - int ix; + unsigned int ix; mp_digit kin = 0, kout, *dp = DIGITS(mp); mp_err res; @@ -2970,7 +2970,7 @@ mp_err s_mp_mul_2d(mp_int *mp, mp_digit d) mp_err res; mp_digit save, next, mask, *dp; mp_size used; - int ix; + unsigned int ix; if((res = s_mp_lshd(mp, d / DIGIT_BIT)) != MP_OKAY) return res; @@ -3054,7 +3054,7 @@ void s_mp_div_2d(mp_int *mp, mp_digit d) end of the division process). We multiply by the smallest power of 2 that gives us a leading digit - at least half the radix. By choosing a power of 2, we simplify the + at least half the radix. By choosing a power of 2, we simplify the multiplication and division steps to simple shifts. */ mp_digit s_mp_norm(mp_int *a, mp_int *b) @@ -3066,7 +3066,7 @@ mp_digit s_mp_norm(mp_int *a, mp_int *b) t <<= 1; ++d; } - + if(d != 0) { s_mp_mul_2d(a, d); s_mp_mul_2d(b, d); @@ -3188,14 +3188,14 @@ mp_err s_mp_mul_d(mp_int *a, mp_digit d) test guarantees we have enough storage to do this safely. */ if(k) { - dp[max] = k; + dp[max] = k; USED(a) = max + 1; } s_mp_clamp(a); return MP_OKAY; - + } /* end s_mp_mul_d() */ /* }}} */ @@ -3289,7 +3289,7 @@ mp_err s_mp_add(mp_int *a, mp_int *b) /* magnitude addition */ } /* If we run out of 'b' digits before we're actually done, make - sure the carries get propagated upward... + sure the carries get propagated upward... */ used = USED(a); while(w && ix < used) { @@ -3351,7 +3351,7 @@ mp_err s_mp_sub(mp_int *a, mp_int *b) /* magnitude subtract */ /* Clobber any leading zeroes we created */ s_mp_clamp(a); - /* + /* If there was a borrow out, then |b| > |a| in violation of our input invariant. We've already done the work, but we'll at least complain about it... @@ -3387,7 +3387,7 @@ mp_err s_mp_reduce(mp_int *x, mp_int *m, mp_int *mu) s_mp_mod_2d(&q, (mp_digit)(DIGIT_BIT * (um + 1))); #else s_mp_mul_dig(&q, m, um + 1); -#endif +#endif /* x = x - q */ if((res = mp_sub(x, &q, x)) != MP_OKAY) @@ -3441,7 +3441,7 @@ mp_err s_mp_mul(mp_int *a, mp_int *b) pb = DIGITS(b); for(ix = 0; ix < ub; ++ix, ++pb) { - if(*pb == 0) + if(*pb == 0) continue; /* Inner product: Digits of a */ @@ -3480,7 +3480,7 @@ void s_mp_kmul(mp_digit *a, mp_digit *b, mp_digit *out, mp_size len) for(ix = 0; ix < len; ++ix, ++b) { if(*b == 0) continue; - + pa = a; for(jx = 0; jx < len; ++jx, ++pa) { pt = out + ix + jx; @@ -3547,7 +3547,7 @@ mp_err s_mp_sqr(mp_int *a) */ for(jx = ix + 1, pa2 = DIGITS(a) + jx; jx < used; ++jx, ++pa2) { mp_word u = 0, v; - + /* Store this in a temporary to avoid indirections later */ pt = pbt + ix + jx; @@ -3568,7 +3568,7 @@ mp_err s_mp_sqr(mp_int *a) v = *pt + k; /* If we do not already have an overflow carry, check to see - if the addition will cause one, and set the carry out if so + if the addition will cause one, and set the carry out if so */ u |= ((MP_WORD_MAX - v) < w); @@ -3592,7 +3592,7 @@ mp_err s_mp_sqr(mp_int *a) /* If we are carrying out, propagate the carry to the next digit in the output. This may cascade, so we have to be somewhat circumspect -- but we will have enough precision in the output - that we won't overflow + that we won't overflow */ kx = 1; while(k) { @@ -3664,7 +3664,7 @@ mp_err s_mp_div(mp_int *a, mp_int *b) while(ix >= 0) { /* Find a partial substring of a which is at least b */ while(s_mp_cmp(&rem, b) < 0 && ix >= 0) { - if((res = s_mp_lshd(&rem, 1)) != MP_OKAY) + if((res = s_mp_lshd(&rem, 1)) != MP_OKAY) goto CLEANUP; if((res = s_mp_lshd(", 1)) != MP_OKAY) @@ -3676,8 +3676,8 @@ mp_err s_mp_div(mp_int *a, mp_int *b) } /* If we didn't find one, we're finished dividing */ - if(s_mp_cmp(&rem, b) < 0) - break; + if(s_mp_cmp(&rem, b) < 0) + break; /* Compute a guess for the next quotient digit */ q = DIGIT(&rem, USED(&rem) - 1); @@ -3695,7 +3695,7 @@ mp_err s_mp_div(mp_int *a, mp_int *b) if((res = s_mp_mul_d(&t, q)) != MP_OKAY) goto CLEANUP; - /* + /* If it's too big, back it off. We should not have to do this more than once, or, in rare cases, twice. Knuth describes a method by which this could be reduced to a maximum of once, but @@ -3719,7 +3719,7 @@ mp_err s_mp_div(mp_int *a, mp_int *b) } /* Denormalize remainder */ - if(d != 0) + if(d != 0) s_mp_div_2d(&rem, d); s_mp_clamp("); @@ -3727,7 +3727,7 @@ mp_err s_mp_div(mp_int *a, mp_int *b) /* Copy quotient back to output */ s_mp_exch(", a); - + /* Copy remainder back to output */ s_mp_exch(&rem, b); @@ -3757,7 +3757,7 @@ mp_err s_mp_2expt(mp_int *a, mp_digit k) mp_zero(a); if((res = s_mp_pad(a, dig + 1)) != MP_OKAY) return res; - + DIGIT(a, dig) |= (1 << bit); return MP_OKAY; @@ -3815,7 +3815,7 @@ int s_mp_cmp_d(mp_int *a, mp_digit d) if(ua > 1) return MP_GT; - if(*ap < d) + if(*ap < d) return MP_LT; else if(*ap > d) return MP_GT; @@ -3857,7 +3857,7 @@ int s_mp_ispow2(mp_int *v) } return ((uv - 1) * DIGIT_BIT) + extra; - } + } return -1; @@ -3901,7 +3901,7 @@ int s_mp_ispow2d(mp_digit d) int s_mp_tovalue(char ch, int r) { int val, xch; - + if(r > 36) xch = ch; else @@ -3917,7 +3917,7 @@ int s_mp_tovalue(char ch, int r) val = 62; else if(xch == '/') val = 63; - else + else return -1; if(val < 0 || val >= r) @@ -3939,7 +3939,7 @@ int s_mp_tovalue(char ch, int r) The results may be odd if you use a radix < 2 or > 64, you are expected to know what you're doing. */ - + char s_mp_todigit(int val, int r, int low) { char ch; @@ -3960,7 +3960,7 @@ char s_mp_todigit(int val, int r, int low) /* {{{ s_mp_outlen(bits, radix) */ -/* +/* Return an estimate for how long a string is needed to hold a radix r representation of a number with 'bits' significant bits. @@ -3981,5 +3981,5 @@ int s_mp_outlen(int bits, int r) /* crc==4242132123, version==2, Sat Feb 02 06:43:52 2002 */ /* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/mtest/mpi.h b/libtommath/mtest/mpi.h index 526c3fd..5accb52 100644 --- a/libtommath/mtest/mpi.h +++ b/libtommath/mtest/mpi.h @@ -6,7 +6,7 @@ Arbitrary precision integer arithmetic library - $ID$ + $Id$ */ #ifndef _H_MPI_ @@ -210,7 +210,7 @@ int mp_count_bits(mp_int *mp); mp_err mp_read_radix(mp_int *mp, unsigned char *str, int radix); int mp_radix_size(mp_int *mp, int radix); int mp_value_radix_size(int num, int qty, int radix); -mp_err mp_toradix(mp_int *mp, unsigned char *str, int radix); +mp_err mp_toradix(mp_int *mp, char *str, int radix); int mp_char2value(char ch, int r); @@ -227,5 +227,5 @@ const char *mp_strerror(mp_err ec); #endif /* end _H_MPI_ */ /* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/mtest/mtest.c b/libtommath/mtest/mtest.c index 92f03ad..56b5a90 100644 --- a/libtommath/mtest/mtest.c +++ b/libtommath/mtest/mtest.c @@ -39,39 +39,71 @@ mulmod #include #include "mpi.c" +#ifdef LTM_MTEST_REAL_RAND +#define getRandChar() fgetc(rng) FILE *rng; +#else +#define getRandChar() (rand()&0xFF) +#endif void rand_num(mp_int *a) { - int n, size; + int size; unsigned char buf[2048]; + size_t sz; - size = 1 + ((fgetc(rng)<<8) + fgetc(rng)) % 101; - buf[0] = (fgetc(rng)&1)?1:0; - fread(buf+1, 1, size, rng); - while (buf[1] == 0) buf[1] = fgetc(rng); + size = 1 + ((getRandChar()<<8) + getRandChar()) % 101; + buf[0] = (getRandChar()&1)?1:0; +#ifdef LTM_MTEST_REAL_RAND + sz = fread(buf+1, 1, size, rng); +#else + sz = 1; + while (sz < (unsigned)size) { + buf[sz] = getRandChar(); + ++sz; + } +#endif + if (sz != (unsigned)size) { + fprintf(stderr, "\nWarning: fread failed\n\n"); + } + while (buf[1] == 0) buf[1] = getRandChar(); mp_read_raw(a, buf, 1+size); } void rand_num2(mp_int *a) { - int n, size; + int size; unsigned char buf[2048]; + size_t sz; - size = 10 + ((fgetc(rng)<<8) + fgetc(rng)) % 101; - buf[0] = (fgetc(rng)&1)?1:0; - fread(buf+1, 1, size, rng); - while (buf[1] == 0) buf[1] = fgetc(rng); + size = 10 + ((getRandChar()<<8) + getRandChar()) % 101; + buf[0] = (getRandChar()&1)?1:0; +#ifdef LTM_MTEST_REAL_RAND + sz = fread(buf+1, 1, size, rng); +#else + sz = 1; + while (sz < (unsigned)size) { + buf[sz] = getRandChar(); + ++sz; + } +#endif + if (sz != (unsigned)size) { + fprintf(stderr, "\nWarning: fread failed\n\n"); + } + while (buf[1] == 0) buf[1] = getRandChar(); mp_read_raw(a, buf, 1+size); } #define mp_to64(a, b) mp_toradix(a, b, 64) -int main(void) +int main(int argc, char *argv[]) { int n, tmp; + long long max; mp_int a, b, c, d, e; +#ifdef MTEST_NO_FULLSPEED clock_t t1; +#endif char buf[4096]; mp_init(&a); @@ -80,6 +112,22 @@ int main(void) mp_init(&d); mp_init(&e); + if (argc > 1) { + max = strtol(argv[1], NULL, 0); + if (max < 0) { + if (max > -64) { + max = (1 << -(max)) + 1; + } else { + max = 1; + } + } else if (max == 0) { + max = 1; + } + } + else { + max = 0; + } + /* initial (2^n - 1)^2 testing, makes sure the comba multiplier works [it has the new carry code] */ /* @@ -98,6 +146,7 @@ int main(void) } */ +#ifdef LTM_MTEST_REAL_RAND rng = fopen("/dev/urandom", "rb"); if (rng == NULL) { rng = fopen("/dev/random", "rb"); @@ -106,16 +155,27 @@ int main(void) rng = stdin; } } +#else + srand(23); +#endif +#ifdef MTEST_NO_FULLSPEED t1 = clock(); +#endif for (;;) { -#if 0 +#ifdef MTEST_NO_FULLSPEED if (clock() - t1 > CLOCKS_PER_SEC) { sleep(2); t1 = clock(); } #endif - n = fgetc(rng) % 15; + n = getRandChar() % 15; + + if (max != 0) { + --max; + if (max == 0) + n = 255; + } if (n == 0) { /* add tests */ @@ -180,7 +240,7 @@ int main(void) /* mul_2d test */ rand_num(&a); mp_copy(&a, &b); - n = fgetc(rng) & 63; + n = getRandChar() & 63; mp_mul_2d(&b, n, &b); mp_to64(&a, buf); printf("mul2d\n"); @@ -192,7 +252,7 @@ int main(void) /* div_2d test */ rand_num(&a); mp_copy(&a, &b); - n = fgetc(rng) & 63; + n = getRandChar() & 63; mp_div_2d(&b, n, &b, NULL); mp_to64(&a, buf); printf("div2d\n"); @@ -297,12 +357,18 @@ int main(void) printf("%s\n%d\n", buf, tmp); mp_to64(&b, buf); printf("%s\n", buf); + } else if (n == 255) { + printf("exit\n"); + break; } + } +#ifdef LTM_MTEST_REAL_RAND fclose(rng); +#endif return 0; } /* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/parsenames.pl b/libtommath/parsenames.pl new file mode 100755 index 0000000..cc57673 --- /dev/null +++ b/libtommath/parsenames.pl @@ -0,0 +1,25 @@ +#!/usr/bin/perl +# +# Splits the list of files and outputs for makefile type files +# wrapped at 80 chars +# +# Tom St Denis +@a = split(" ", $ARGV[1]); +$b = "$ARGV[0]="; +$len = length($b); +print $b; +foreach my $obj (@a) { + $len = $len + length($obj); + $obj =~ s/\*/\$/; + if ($len > 100) { + printf "\\\n"; + $len = length($obj); + } + print "$obj "; +} + +print "\n\n"; + +# $Source$ +# $Revision$ +# $Date$ diff --git a/libtommath/poster.pdf b/libtommath/poster.pdf index dc80fbb..f212c3e 100644 Binary files a/libtommath/poster.pdf and b/libtommath/poster.pdf differ diff --git a/libtommath/pre_gen/mpi.c b/libtommath/pre_gen/mpi.c index 7ba9d83..0d55d73 100644 --- a/libtommath/pre_gen/mpi.c +++ b/libtommath/pre_gen/mpi.c @@ -44,8 +44,8 @@ char *mp_error_to_string(int code) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_error.c */ @@ -67,10 +67,10 @@ char *mp_error_to_string(int code) * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* computes the modular inverse via binary extended euclidean algorithm, - * that is c = 1/a mod b +/* computes the modular inverse via binary extended euclidean algorithm, + * that is c = 1/a mod b * - * Based on slow invmod except this is optimized for the case where b is + * Based on slow invmod except this is optimized for the case where b is * odd as per HAC Note 14.64 on pp. 610 */ int fast_mp_invmod (mp_int * a, mp_int * b, mp_int * c) @@ -196,8 +196,8 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_fast_mp_invmod.c */ @@ -372,8 +372,8 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_fast_mp_montgomery_reduce.c */ @@ -397,15 +397,15 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) /* Fast (comba) multiplier * - * This is the fast column-array [comba] multiplier. It is - * designed to compute the columns of the product first - * then handle the carries afterwards. This has the effect + * This is the fast column-array [comba] multiplier. It is + * designed to compute the columns of the product first + * then handle the carries afterwards. This has the effect * of making the nested loops that compute the columns very * simple and schedulable on super-scalar processors. * - * This has been modified to produce a variable number of - * digits of output so if say only a half-product is required - * you don't have to compute the upper half (a feature + * This has been modified to produce a variable number of + * digits of output so if say only a half-product is required + * you don't have to compute the upper half (a feature * required for fast Barrett reduction). * * Based on Algorithm 14.12 on pp.595 of HAC. @@ -429,7 +429,7 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* clear the carry */ _W = 0; - for (ix = 0; ix < pa; ix++) { + for (ix = 0; ix < pa; ix++) { int tx, ty; int iy; mp_digit *tmpx, *tmpy; @@ -442,7 +442,7 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) tmpx = a->dp + tx; tmpy = b->dp + ty; - /* this is the number of times the loop will iterrate, essentially + /* this is the number of times the loop will iterrate, essentially while (tx++ < a->used && ty-- >= 0) { ... } */ iy = MIN(a->used-tx, ty+1); @@ -483,8 +483,8 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_fast_s_mp_mul_digs.c */ @@ -532,7 +532,7 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* number of output digits to produce */ pa = a->used + b->used; _W = 0; - for (ix = digs; ix < pa; ix++) { + for (ix = digs; ix < pa; ix++) { int tx, ty, iy; mp_digit *tmpx, *tmpy; @@ -544,7 +544,7 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) tmpx = a->dp + tx; tmpy = b->dp + ty; - /* this is the number of times the loop will iterrate, essentially its + /* this is the number of times the loop will iterrate, essentially its while (tx++ < a->used && ty-- >= 0) { ... } */ iy = MIN(a->used-tx, ty+1); @@ -560,7 +560,7 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* make next carry */ _W = _W >> ((mp_word)DIGIT_BIT); } - + /* setup dest */ olduse = c->used; c->used = pa; @@ -585,8 +585,8 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_fast_s_mp_mul_high_digs.c */ @@ -609,10 +609,10 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) */ /* the jist of squaring... - * you do like mult except the offset of the tmpx [one that - * starts closer to zero] can't equal the offset of tmpy. + * you do like mult except the offset of the tmpx [one that + * starts closer to zero] can't equal the offset of tmpy. * So basically you set up iy like before then you min it with - * (ty-tx) so that it never happens. You double all those + * (ty-tx) so that it never happens. You double all those * you add in the inner loop After that loop you do the squares and add them in. @@ -634,7 +634,7 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) /* number of output digits to produce */ W1 = 0; - for (ix = 0; ix < pa; ix++) { + for (ix = 0; ix < pa; ix++) { int tx, ty, iy; mp_word _W; mp_digit *tmpy; @@ -655,7 +655,7 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) */ iy = MIN(a->used-tx, ty+1); - /* now for squaring tx can never equal ty + /* now for squaring tx can never equal ty * we halve the distance since they approach at a rate of 2x * and we have to round because odd cases need to be executed */ @@ -703,8 +703,8 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_fast_s_mp_sqr.c */ @@ -726,7 +726,7 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* computes a = 2**b +/* computes a = 2**b * * Simple algorithm which zeroes the int, grows it then just sets one bit * as required. @@ -755,8 +755,8 @@ mp_2expt (mp_int * a, int b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_2expt.c */ @@ -778,7 +778,7 @@ mp_2expt (mp_int * a, int b) * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* b = |a| +/* b = |a| * * Simple function copies the input and fixes the sign to positive */ @@ -802,8 +802,8 @@ mp_abs (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_abs.c */ @@ -859,8 +859,8 @@ int mp_add (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_add.c */ @@ -975,8 +975,8 @@ mp_add_d (mp_int * a, mp_digit b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_add_d.c */ @@ -1020,8 +1020,8 @@ mp_addmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_addmod.c */ @@ -1081,8 +1081,8 @@ mp_and (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_and.c */ @@ -1104,7 +1104,7 @@ mp_and (mp_int * a, mp_int * b, mp_int * c) * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* trim unused digits +/* trim unused digits * * This is used to ensure that leading zero digits are * trimed and the leading "used" digit will be non-zero @@ -1129,8 +1129,8 @@ mp_clamp (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_clamp.c */ @@ -1177,8 +1177,8 @@ mp_clear (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_clear.c */ @@ -1201,7 +1201,7 @@ mp_clear (mp_int * a) */ #include -void mp_clear_multi(mp_int *mp, ...) +void mp_clear_multi(mp_int *mp, ...) { mp_int* next_mp = mp; va_list args; @@ -1215,8 +1215,8 @@ void mp_clear_multi(mp_int *mp, ...) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_clear_multi.c */ @@ -1250,7 +1250,7 @@ mp_cmp (mp_int * a, mp_int * b) return MP_GT; } } - + /* compare digits */ if (a->sign == MP_NEG) { /* if negative compare opposite direction */ @@ -1262,8 +1262,8 @@ mp_cmp (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_cmp.c */ @@ -1310,8 +1310,8 @@ int mp_cmp_d(mp_int * a, mp_digit b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_cmp_d.c */ @@ -1343,7 +1343,7 @@ int mp_cmp_mag (mp_int * a, mp_int * b) if (a->used > b->used) { return MP_GT; } - + if (a->used < b->used) { return MP_LT; } @@ -1369,8 +1369,8 @@ int mp_cmp_mag (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_cmp_mag.c */ @@ -1392,7 +1392,7 @@ int mp_cmp_mag (mp_int * a, mp_int * b) * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -static const int lnz[16] = { +static const int lnz[16] = { 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0 }; @@ -1426,8 +1426,8 @@ int mp_cnt_lsb(mp_int *a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_cnt_lsb.c */ @@ -1498,8 +1498,8 @@ mp_copy (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_copy.c */ @@ -1535,7 +1535,7 @@ mp_count_bits (mp_int * a) /* get number of digits and add that */ r = (a->used - 1) * DIGIT_BIT; - + /* take the last digit and count the bits in it */ q = a->dp[a->used - 1]; while (q > ((mp_digit) 0)) { @@ -1547,8 +1547,8 @@ mp_count_bits (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_count_bits.c */ @@ -1605,7 +1605,7 @@ int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) mp_set(&tq, 1); n = mp_count_bits(a) - mp_count_bits(b); if (((res = mp_abs(a, &ta)) != MP_OKAY) || - ((res = mp_abs(b, &tb)) != MP_OKAY) || + ((res = mp_abs(b, &tb)) != MP_OKAY) || ((res = mp_mul_2d(&tb, n, &tb)) != MP_OKAY) || ((res = mp_mul_2d(&tq, n, &tq)) != MP_OKAY)) { goto LBL_ERR; @@ -1642,17 +1642,17 @@ LBL_ERR: #else -/* integer signed division. +/* integer signed division. * c*b + d == a [e.g. a/b, c=quotient, d=remainder] * HAC pp.598 Algorithm 14.20 * - * Note that the description in HAC is horribly - * incomplete. For example, it doesn't consider - * the case where digits are removed from 'x' in - * the inner loop. It also doesn't consider the + * Note that the description in HAC is horribly + * incomplete. For example, it doesn't consider + * the case where digits are removed from 'x' in + * the inner loop. It also doesn't consider the * case that y has fewer than three digits, etc.. * - * The overall algorithm is as described as + * The overall algorithm is as described as * 14.20 from HAC but fixed to treat these cases. */ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) @@ -1742,7 +1742,7 @@ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) continue; } - /* step 3.1 if xi == yt then set q{i-t-1} to b-1, + /* step 3.1 if xi == yt then set q{i-t-1} to b-1, * otherwise set q{i-t-1} to (xi*b + x{i-1})/yt */ if (x.dp[i] == y.dp[t]) { q.dp[i - t - 1] = ((((mp_digit)1) << DIGIT_BIT) - 1); @@ -1756,10 +1756,10 @@ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) q.dp[i - t - 1] = (mp_digit) (tmp & (mp_word) (MP_MASK)); } - /* while (q{i-t-1} * (yt * b + y{t-1})) > - xi * b**2 + xi-1 * b + xi-2 - - do q{i-t-1} -= 1; + /* while (q{i-t-1} * (yt * b + y{t-1})) > + xi * b**2 + xi-1 * b + xi-2 + + do q{i-t-1} -= 1; */ q.dp[i - t - 1] = (q.dp[i - t - 1] + 1) & MP_MASK; do { @@ -1810,10 +1810,10 @@ int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) } } - /* now q is the quotient and x is the remainder - * [which we have to normalize] + /* now q is the quotient and x is the remainder + * [which we have to normalize] */ - + /* get sign before writing to c */ x.sign = x.used == 0 ? MP_ZPOS : a->sign; @@ -1843,8 +1843,8 @@ LBL_Q:mp_clear (&q); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_div.c */ @@ -1915,8 +1915,8 @@ int mp_div_2(mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_div_2.c */ @@ -2016,8 +2016,8 @@ int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_div_2d.c */ @@ -2047,14 +2047,14 @@ mp_div_3 (mp_int * a, mp_int *c, mp_digit * d) mp_word w, t; mp_digit b; int res, ix; - + /* b = 2**DIGIT_BIT / 3 */ b = (((mp_word)1) << ((mp_word)DIGIT_BIT)) / ((mp_word)3); if ((res = mp_init_size(&q, a->used)) != MP_OKAY) { return res; } - + q.used = a->used; q.sign = a->sign; w = 0; @@ -2092,15 +2092,15 @@ mp_div_3 (mp_int * a, mp_int *c, mp_digit * d) mp_exch(&q, c); } mp_clear(&q); - + return res; } #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_div_3.c */ @@ -2186,13 +2186,13 @@ int mp_div_d (mp_int * a, mp_digit b, mp_int * c, mp_digit * d) if ((res = mp_init_size(&q, a->used)) != MP_OKAY) { return res; } - + q.used = a->used; q.sign = a->sign; w = 0; for (ix = a->used - 1; ix >= 0; ix--) { w = (w << ((mp_word)DIGIT_BIT)) | ((mp_word)a->dp[ix]); - + if (w >= b) { t = (mp_digit)(w / b); w -= ((mp_word)t) * ((mp_word)b); @@ -2201,25 +2201,25 @@ int mp_div_d (mp_int * a, mp_digit b, mp_int * c, mp_digit * d) } q.dp[ix] = (mp_digit)t; } - + if (d != NULL) { *d = (mp_digit)w; } - + if (c != NULL) { mp_clamp(&q); mp_exch(&q, c); } mp_clear(&q); - + return res; } #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_div_d.c */ @@ -2265,8 +2265,8 @@ int mp_dr_is_modulus(mp_int *a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_dr_is_modulus.c */ @@ -2363,8 +2363,8 @@ top: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_dr_reduce.c */ @@ -2392,15 +2392,15 @@ void mp_dr_setup(mp_int *a, mp_digit *d) /* the casts are required if DIGIT_BIT is one less than * the number of bits in a mp_digit [e.g. DIGIT_BIT==31] */ - *d = (mp_digit)((((mp_word)1) << ((mp_word)DIGIT_BIT)) - + *d = (mp_digit)((((mp_word)1) << ((mp_word)DIGIT_BIT)) - ((mp_word)a->dp[0])); } #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_dr_setup.c */ @@ -2422,7 +2422,7 @@ void mp_dr_setup(mp_int *a, mp_digit *d) * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* swap the elements of two integers, for cases where you can't simply swap the +/* swap the elements of two integers, for cases where you can't simply swap the * mp_int pointers around */ void @@ -2437,8 +2437,8 @@ mp_exch (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_exch.c */ @@ -2498,8 +2498,8 @@ int mp_expt_d (mp_int * a, mp_digit b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_expt_d.c */ @@ -2565,7 +2565,7 @@ int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) err = mp_exptmod(&tmpG, &tmpX, P, Y); mp_clear_multi(&tmpG, &tmpX, NULL); return err; -#else +#else /* no invmod */ return MP_VAL; #endif @@ -2592,7 +2592,7 @@ int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) dr = mp_reduce_is_2k(P) << 1; } #endif - + /* if the modulus is odd or dr != 0 use the montgomery method */ #ifdef BN_MP_EXPTMOD_FAST_C if (mp_isodd (P) == 1 || dr != 0) { @@ -2614,8 +2614,8 @@ int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_exptmod.c */ @@ -2706,7 +2706,7 @@ int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode /* determine and setup reduction code */ if (redmode == 0) { -#ifdef BN_MP_MONTGOMERY_SETUP_C +#ifdef BN_MP_MONTGOMERY_SETUP_C /* now setup montgomery */ if ((err = mp_montgomery_setup (P, &mp)) != MP_OKAY) { goto LBL_M; @@ -2721,7 +2721,7 @@ int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode if (((P->used * 2 + 1) < MP_WARRAY) && P->used < (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { redux = fast_mp_montgomery_reduce; - } else + } else #endif { #ifdef BN_MP_MONTGOMERY_REDUCE_C @@ -2772,7 +2772,7 @@ int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode if ((err = mp_montgomery_calc_normalization (&res, P)) != MP_OKAY) { goto LBL_RES; } -#else +#else err = MP_VAL; goto LBL_RES; #endif @@ -2939,8 +2939,8 @@ LBL_M: /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_exptmod_fast.c */ @@ -2962,7 +2962,7 @@ LBL_M: * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* Extended euclidean algorithm of (a, b) produces +/* Extended euclidean algorithm of (a, b) produces a*u1 + b*u2 = u3 */ int mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3) @@ -3025,8 +3025,8 @@ _ERR: mp_clear_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_exteuclid.c */ @@ -3052,10 +3052,10 @@ _ERR: mp_clear_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL int mp_fread(mp_int *a, int radix, FILE *stream) { int err, ch, neg, y; - + /* clear a */ mp_zero(a); - + /* if first digit is - then set negative */ ch = fgetc(stream); if (ch == '-') { @@ -3064,7 +3064,7 @@ int mp_fread(mp_int *a, int radix, FILE *stream) } else { neg = MP_ZPOS; } - + for (;;) { /* find y in the radix map */ for (y = 0; y < radix; y++) { @@ -3075,7 +3075,7 @@ int mp_fread(mp_int *a, int radix, FILE *stream) if (y == radix) { break; } - + /* shift up and add */ if ((err = mp_mul_d(a, radix, a)) != MP_OKAY) { return err; @@ -3083,21 +3083,21 @@ int mp_fread(mp_int *a, int radix, FILE *stream) if ((err = mp_add_d(a, y, a)) != MP_OKAY) { return err; } - + ch = fgetc(stream); } if (mp_cmp_d(a, 0) != MP_EQ) { a->sign = neg; } - + return MP_OKAY; } #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_fread.c */ @@ -3123,7 +3123,7 @@ int mp_fwrite(mp_int *a, int radix, FILE *stream) { char *buf; int err, len, x; - + if ((err = mp_radix_size(a, radix, &len)) != MP_OKAY) { return err; } @@ -3132,19 +3132,19 @@ int mp_fwrite(mp_int *a, int radix, FILE *stream) if (buf == NULL) { return MP_MEM; } - + if ((err = mp_toradix(a, buf, radix)) != MP_OKAY) { XFREE (buf); return err; } - + for (x = 0; x < len; x++) { if (fputc(buf[x], stream) == EOF) { XFREE (buf); return MP_VAL; } } - + XFREE (buf); return MP_OKAY; } @@ -3152,8 +3152,8 @@ int mp_fwrite(mp_int *a, int radix, FILE *stream) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_fwrite.c */ @@ -3236,17 +3236,17 @@ int mp_gcd (mp_int * a, mp_int * b, mp_int * c) /* swap u and v to make sure v is >= u */ mp_exch(&u, &v); } - + /* subtract smallest from largest */ if ((res = s_mp_sub(&v, &u, &v)) != MP_OKAY) { goto LBL_V; } - + /* Divide out all factors of two */ if ((res = mp_div_2d(&v, mp_cnt_lsb(&v), &v, NULL)) != MP_OKAY) { goto LBL_V; - } - } + } + } /* multiply by 2**k which we divided out at the beginning */ if ((res = mp_mul_2d (&u, k, c)) != MP_OKAY) { @@ -3261,8 +3261,8 @@ LBL_U:mp_clear (&v); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_gcd.c */ @@ -3285,7 +3285,7 @@ LBL_U:mp_clear (&v); */ /* get the lower 32-bits of an mp_int */ -unsigned long mp_get_int(mp_int * a) +unsigned long mp_get_int(mp_int * a) { int i; unsigned long res; @@ -3299,7 +3299,7 @@ unsigned long mp_get_int(mp_int * a) /* get most significant digit of result */ res = DIGIT(a,i); - + while (--i >= 0) { res = (res << DIGIT_BIT) | DIGIT(a,i); } @@ -3310,8 +3310,8 @@ unsigned long mp_get_int(mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_get_int.c */ @@ -3371,8 +3371,8 @@ int mp_grow (mp_int * a, int size) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_grow.c */ @@ -3421,8 +3421,8 @@ int mp_init (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_init.c */ @@ -3457,8 +3457,8 @@ int mp_init_copy (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_init_copy.c */ @@ -3481,7 +3481,7 @@ int mp_init_copy (mp_int * a, mp_int * b) */ #include -int mp_init_multi(mp_int *mp, ...) +int mp_init_multi(mp_int *mp, ...) { mp_err res = MP_OKAY; /* Assume ok until proven otherwise */ int n = 0; /* Number of ok inits */ @@ -3495,11 +3495,11 @@ int mp_init_multi(mp_int *mp, ...) succeeded in init-ing, then return error. */ va_list clean_args; - + /* end the current list */ va_end(args); - - /* now start cleaning up */ + + /* now start cleaning up */ cur_arg = mp; va_start(clean_args, mp); while (n--) { @@ -3520,8 +3520,8 @@ int mp_init_multi(mp_int *mp, ...) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_init_multi.c */ @@ -3556,8 +3556,8 @@ int mp_init_set (mp_int * a, mp_digit b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_init_set.c */ @@ -3591,8 +3591,8 @@ int mp_init_set_int (mp_int * a, unsigned long b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_init_set_int.c */ @@ -3621,7 +3621,7 @@ int mp_init_size (mp_int * a, int size) /* pad size so there are always extra digits */ size += (MP_PREC * 2) - (size % MP_PREC); - + /* alloc mem */ a->dp = OPT_CAST(mp_digit) XMALLOC (sizeof (mp_digit) * size); if (a->dp == NULL) { @@ -3643,8 +3643,8 @@ int mp_init_size (mp_int * a, int size) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_init_size.c */ @@ -3690,8 +3690,8 @@ int mp_invmod (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_invmod.c */ @@ -3725,7 +3725,7 @@ int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c) } /* init temps */ - if ((res = mp_init_multi(&x, &y, &u, &v, + if ((res = mp_init_multi(&x, &y, &u, &v, &A, &B, &C, &D, NULL)) != MP_OKAY) { return res; } @@ -3852,14 +3852,14 @@ top: goto LBL_ERR; } } - + /* too big */ while (mp_cmp_mag(&C, b) != MP_LT) { if ((res = mp_sub(&C, b, &C)) != MP_OKAY) { goto LBL_ERR; } } - + /* C is now the inverse */ mp_exch (&C, c); res = MP_OKAY; @@ -3869,8 +3869,8 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_invmod_slow.c */ @@ -3915,7 +3915,7 @@ static const char rem_105[105] = { }; /* Store non-zero to ret if arg is square, and zero if not */ -int mp_is_square(mp_int *arg,int *ret) +int mp_is_square(mp_int *arg,int *ret) { int res; mp_digit c; @@ -3923,7 +3923,7 @@ int mp_is_square(mp_int *arg,int *ret) unsigned long r; /* Default to Non-square :) */ - *ret = MP_NO; + *ret = MP_NO; if (arg->sign == MP_NEG) { return MP_VAL; @@ -3957,8 +3957,8 @@ int mp_is_square(mp_int *arg,int *ret) r = mp_get_int(&t); /* Check for other prime modules, note it's not an ERROR but we must * free "t" so the easiest way is to goto ERR. We know that res - * is already equal to MP_OKAY from the mp_mod call - */ + * is already equal to MP_OKAY from the mp_mod call + */ if ( (1L<<(r%11)) & 0x5C4L ) goto ERR; if ( (1L<<(r%13)) & 0x9E4L ) goto ERR; if ( (1L<<(r%17)) & 0x5CE8L ) goto ERR; @@ -3982,8 +3982,8 @@ ERR:mp_clear(&t); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_is_square.c */ @@ -4091,8 +4091,8 @@ LBL_A1:mp_clear (&a1); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_jacobi.c */ @@ -4114,33 +4114,33 @@ LBL_A1:mp_clear (&a1); * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* c = |a| * |b| using Karatsuba Multiplication using +/* c = |a| * |b| using Karatsuba Multiplication using * three half size multiplications * - * Let B represent the radix [e.g. 2**DIGIT_BIT] and - * let n represent half of the number of digits in + * Let B represent the radix [e.g. 2**DIGIT_BIT] and + * let n represent half of the number of digits in * the min(a,b) * * a = a1 * B**n + a0 * b = b1 * B**n + b0 * - * Then, a * b => + * Then, a * b => a1b1 * B**2n + ((a1 + a0)(b1 + b0) - (a0b0 + a1b1)) * B + a0b0 * - * Note that a1b1 and a0b0 are used twice and only need to be - * computed once. So in total three half size (half # of - * digit) multiplications are performed, a0b0, a1b1 and + * Note that a1b1 and a0b0 are used twice and only need to be + * computed once. So in total three half size (half # of + * digit) multiplications are performed, a0b0, a1b1 and * (a1+b1)(a0+b0) * * Note that a multiplication of half the digits requires - * 1/4th the number of single precision multiplications so in - * total after one call 25% of the single precision multiplications - * are saved. Note also that the call to mp_mul can end up back - * in this function if the a0, a1, b0, or b1 are above the threshold. - * This is known as divide-and-conquer and leads to the famous - * O(N**lg(3)) or O(N**1.584) work which is asymptopically lower than - * the standard O(N**2) that the baseline/comba methods use. - * Generally though the overhead of this method doesn't pay off + * 1/4th the number of single precision multiplications so in + * total after one call 25% of the single precision multiplications + * are saved. Note also that the call to mp_mul can end up back + * in this function if the a0, a1, b0, or b1 are above the threshold. + * This is known as divide-and-conquer and leads to the famous + * O(N**lg(3)) or O(N**1.584) work which is asymptopically lower than + * the standard O(N**2) that the baseline/comba methods use. + * Generally though the overhead of this method doesn't pay off * until a certain size (N ~ 80) is reached. */ int mp_karatsuba_mul (mp_int * a, mp_int * b, mp_int * c) @@ -4208,7 +4208,7 @@ int mp_karatsuba_mul (mp_int * a, mp_int * b, mp_int * c) } } - /* only need to clamp the lower words since by definition the + /* only need to clamp the lower words since by definition the * upper words x1/y1 must have a known number of digits */ mp_clamp (&x0); @@ -4216,7 +4216,7 @@ int mp_karatsuba_mul (mp_int * a, mp_int * b, mp_int * c) /* now calc the products x0y0 and x1y1 */ /* after this x0 is no longer required, free temp [x0==t2]! */ - if (mp_mul (&x0, &y0, &x0y0) != MP_OKAY) + if (mp_mul (&x0, &y0, &x0y0) != MP_OKAY) goto X1Y1; /* x0y0 = x0*y0 */ if (mp_mul (&x1, &y1, &x1y1) != MP_OKAY) goto X1Y1; /* x1y1 = x1*y1 */ @@ -4262,8 +4262,8 @@ ERR: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_karatsuba_mul.c */ @@ -4285,11 +4285,11 @@ ERR: * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* Karatsuba squaring, computes b = a*a using three +/* Karatsuba squaring, computes b = a*a using three * half size squarings * - * See comments of karatsuba_mul for details. It - * is essentially the same algorithm but merely + * See comments of karatsuba_mul for details. It + * is essentially the same algorithm but merely * tuned to perform recursive squarings. */ int mp_karatsuba_sqr (mp_int * a, mp_int * b) @@ -4387,8 +4387,8 @@ ERR: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_karatsuba_sqr.c */ @@ -4451,8 +4451,8 @@ LBL_T: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_lcm.c */ @@ -4522,8 +4522,8 @@ int mp_lshd (mp_int * a, int b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_lshd.c */ @@ -4574,8 +4574,8 @@ mp_mod (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_mod.c */ @@ -4633,8 +4633,8 @@ mp_mod_2d (mp_int * a, int b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_mod_2d.c */ @@ -4664,8 +4664,8 @@ mp_mod_d (mp_int * a, mp_digit b, mp_digit * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_mod_d.c */ @@ -4727,8 +4727,8 @@ int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_montgomery_calc_normalization.c */ @@ -4849,8 +4849,8 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_montgomery_reduce.c */ @@ -4912,8 +4912,8 @@ mp_montgomery_setup (mp_int * n, mp_digit * rho) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_montgomery_setup.c */ @@ -4945,29 +4945,29 @@ int mp_mul (mp_int * a, mp_int * b, mp_int * c) #ifdef BN_MP_TOOM_MUL_C if (MIN (a->used, b->used) >= TOOM_MUL_CUTOFF) { res = mp_toom_mul(a, b, c); - } else + } else #endif #ifdef BN_MP_KARATSUBA_MUL_C /* use Karatsuba? */ if (MIN (a->used, b->used) >= KARATSUBA_MUL_CUTOFF) { res = mp_karatsuba_mul (a, b, c); - } else + } else #endif { /* can we use the fast multiplier? * - * The fast multiplier can be used if the output will - * have less than MP_WARRAY digits and the number of + * The fast multiplier can be used if the output will + * have less than MP_WARRAY digits and the number of * digits won't affect carry propagation */ int digs = a->used + b->used + 1; #ifdef BN_FAST_S_MP_MUL_DIGS_C if ((digs < MP_WARRAY) && - MIN(a->used, b->used) <= + MIN(a->used, b->used) <= (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { res = fast_s_mp_mul_digs (a, b, c, digs); - } else + } else #endif #ifdef BN_S_MP_MUL_DIGS_C res = s_mp_mul (a, b, c); /* uses s_mp_mul_digs */ @@ -4982,8 +4982,8 @@ int mp_mul (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_mul.c */ @@ -5025,24 +5025,24 @@ int mp_mul_2(mp_int * a, mp_int * b) /* alias for source */ tmpa = a->dp; - + /* alias for dest */ tmpb = b->dp; /* carry */ r = 0; for (x = 0; x < a->used; x++) { - - /* get what will be the *next* carry bit from the - * MSB of the current digit + + /* get what will be the *next* carry bit from the + * MSB of the current digit */ rr = *tmpa >> ((mp_digit)(DIGIT_BIT - 1)); - + /* now shift up this digit, add in the carry [from the previous] */ *tmpb++ = ((*tmpa++ << ((mp_digit)1)) | r) & MP_MASK; - - /* copy the carry that would be from the source - * digit into the next iteration + + /* copy the carry that would be from the source + * digit into the next iteration */ r = rr; } @@ -5054,8 +5054,8 @@ int mp_mul_2(mp_int * a, mp_int * b) ++(b->used); } - /* now zero any excess digits on the destination - * that we didn't write to + /* now zero any excess digits on the destination + * that we didn't write to */ tmpb = b->dp + b->used; for (x = b->used; x < oldused; x++) { @@ -5068,8 +5068,8 @@ int mp_mul_2(mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_mul_2.c */ @@ -5145,7 +5145,7 @@ int mp_mul_2d (mp_int * a, int b, mp_int * c) /* set the carry to the carry bits of the current word */ r = rr; } - + /* set final carry */ if (r != 0) { c->dp[(c->used)++] = r; @@ -5157,8 +5157,8 @@ int mp_mul_2d (mp_int * a, int b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_mul_2d.c */ @@ -5240,8 +5240,8 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_mul_d.c */ @@ -5284,8 +5284,8 @@ int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_mulmod.c */ @@ -5307,14 +5307,14 @@ int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* find the n'th root of an integer +/* find the n'th root of an integer * - * Result found such that (c)**b <= a and (c+1)**b > a + * Result found such that (c)**b <= a and (c+1)**b > a * - * This algorithm uses Newton's approximation - * x[i+1] = x[i] - f(x[i])/f'(x[i]) - * which will find the root in log(N) time where - * each step involves a fair bit. This is not meant to + * This algorithm uses Newton's approximation + * x[i+1] = x[i] - f(x[i])/f'(x[i]) + * which will find the root in log(N) time where + * each step involves a fair bit. This is not meant to * find huge roots [square and cube, etc]. */ int mp_n_root (mp_int * a, mp_digit b, mp_int * c) @@ -5353,31 +5353,31 @@ int mp_n_root (mp_int * a, mp_digit b, mp_int * c) } /* t2 = t1 - ((t1**b - a) / (b * t1**(b-1))) */ - + /* t3 = t1**(b-1) */ - if ((res = mp_expt_d (&t1, b - 1, &t3)) != MP_OKAY) { + if ((res = mp_expt_d (&t1, b - 1, &t3)) != MP_OKAY) { goto LBL_T3; } /* numerator */ /* t2 = t1**b */ - if ((res = mp_mul (&t3, &t1, &t2)) != MP_OKAY) { + if ((res = mp_mul (&t3, &t1, &t2)) != MP_OKAY) { goto LBL_T3; } /* t2 = t1**b - a */ - if ((res = mp_sub (&t2, a, &t2)) != MP_OKAY) { + if ((res = mp_sub (&t2, a, &t2)) != MP_OKAY) { goto LBL_T3; } /* denominator */ /* t3 = t1**(b-1) * b */ - if ((res = mp_mul_d (&t3, b, &t3)) != MP_OKAY) { + if ((res = mp_mul_d (&t3, b, &t3)) != MP_OKAY) { goto LBL_T3; } /* t3 = (t1**b - a)/(b * t1**(b-1)) */ - if ((res = mp_div (&t2, &t3, &t3, NULL)) != MP_OKAY) { + if ((res = mp_div (&t2, &t3, &t3, NULL)) != MP_OKAY) { goto LBL_T3; } @@ -5420,8 +5420,8 @@ LBL_T1:mp_clear (&t1); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_n_root.c */ @@ -5464,8 +5464,8 @@ int mp_neg (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_neg.c */ @@ -5518,8 +5518,8 @@ int mp_or (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_or.c */ @@ -5542,7 +5542,7 @@ int mp_or (mp_int * a, mp_int * b, mp_int * c) */ /* performs one Fermat test. - * + * * If "a" were prime then b**a == b (mod a) since the order of * the multiplicative sub-group would be phi(a) = a-1. That means * it would be the same as b**(a mod (a-1)) == b**1 == b (mod a). @@ -5584,8 +5584,8 @@ LBL_T:mp_clear (&t); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_prime_fermat.c */ @@ -5607,7 +5607,7 @@ LBL_T:mp_clear (&t); * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* determines if an integers is divisible by one +/* determines if an integers is divisible by one * of the first PRIME_SIZE primes or not * * sets result to 0 if not, 1 if yes @@ -5638,8 +5638,8 @@ int mp_prime_is_divisible (mp_int * a, int *result) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_prime_is_divisible.c */ @@ -5725,8 +5725,8 @@ LBL_B:mp_clear (&b); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_prime_is_prime.c */ @@ -5748,11 +5748,11 @@ LBL_B:mp_clear (&b); * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* Miller-Rabin test of "a" to the base of "b" as described in +/* Miller-Rabin test of "a" to the base of "b" as described in * HAC pp. 139 Algorithm 4.24 * * Sets result to 0 if definitely composite or 1 if probably prime. - * Randomly the chance of error is no more than 1/4 and often + * Randomly the chance of error is no more than 1/4 and often * very much lower. */ int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result) @@ -5766,7 +5766,7 @@ int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result) /* ensure b > 1 */ if (mp_cmp_d(b, 1) != MP_GT) { return MP_VAL; - } + } /* get n1 = a - 1 */ if ((err = mp_init_copy (&n1, a)) != MP_OKAY) { @@ -5832,8 +5832,8 @@ LBL_N1:mp_clear (&n1); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_prime_miller_rabin.c */ @@ -6006,8 +6006,8 @@ LBL_ERR: #endif /* $Source$ */ -/* $Revision: v0.42.0 $ */ -/* $Date: 2010-07-15 13:49:00 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_prime_next_prime.c */ @@ -6062,8 +6062,8 @@ int mp_prime_rabin_miller_trials(int size) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_prime_rabin_miller_trials.c */ @@ -6088,7 +6088,7 @@ int mp_prime_rabin_miller_trials(int size) /* makes a truly random prime of a given size (bits), * * Flags are as follows: - * + * * LTM_PRIME_BBS - make prime congruent to 3 mod 4 * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS) * LTM_PRIME_2MSB_OFF - make the 2nd highest bit zero @@ -6133,7 +6133,7 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback maskOR_msb_offset = ((size & 7) == 1) ? 1 : 0; if (flags & LTM_PRIME_2MSB_ON) { maskOR_msb |= 0x80 >> ((9 - size) & 7); - } + } /* get the maskOR_lsb */ maskOR_lsb = 1; @@ -6147,7 +6147,7 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback err = MP_VAL; goto error; } - + /* work over the MSbyte */ tmp[0] &= maskAND; tmp[0] |= 1 << ((size - 1) & 7); @@ -6161,7 +6161,7 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback /* is it prime? */ if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { goto error; } - if (res == MP_NO) { + if (res == MP_NO) { continue; } @@ -6169,7 +6169,7 @@ int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback /* see if (a-1)/2 is prime */ if ((err = mp_sub_d(a, 1, a)) != MP_OKAY) { goto error; } if ((err = mp_div_2(a, a)) != MP_OKAY) { goto error; } - + /* is it prime? */ if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { goto error; } } @@ -6191,8 +6191,8 @@ error: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_prime_random_ex.c */ @@ -6253,7 +6253,7 @@ int mp_radix_size (mp_int * a, int radix, int *size) } /* force temp to positive */ - t.sign = MP_ZPOS; + t.sign = MP_ZPOS; /* fetch out all of the digits */ while (mp_iszero (&t) == MP_NO) { @@ -6273,8 +6273,8 @@ int mp_radix_size (mp_int * a, int radix, int *size) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_radix_size.c */ @@ -6301,8 +6301,8 @@ const char *mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrs #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_radix_smap.c */ @@ -6360,8 +6360,8 @@ mp_rand (mp_int * a, int digits) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_rand.c */ @@ -6397,8 +6397,8 @@ int mp_read_radix (mp_int * a, const char *str, int radix) return MP_VAL; } - /* if the leading digit is a - * minus set the sign to negative. + /* if the leading digit is a + * minus set the sign to negative. */ if (*str == '-') { ++str; @@ -6409,23 +6409,23 @@ int mp_read_radix (mp_int * a, const char *str, int radix) /* set the integer to the default of zero */ mp_zero (a); - + /* process each digit of the string */ while (*str) { /* if the radix < 36 the conversion is case insensitive * this allows numbers like 1AB and 1ab to represent the same value * [e.g. in hex] */ - ch = (char) ((radix < 36) ? toupper (*str) : *str); + ch = (char) ((radix < 36) ? toupper ((int)*str) : *str); for (y = 0; y < 64; y++) { if (ch == mp_s_rmap[y]) { break; } } - /* if the char was found in the map + /* if the char was found in the map * and is less than the given radix add it - * to the number, otherwise exit the loop. + * to the number, otherwise exit the loop. */ if (y < radix) { if ((res = mp_mul_d (a, (mp_digit) radix, a)) != MP_OKAY) { @@ -6439,7 +6439,7 @@ int mp_read_radix (mp_int * a, const char *str, int radix) } ++str; } - + /* set the sign only if a != 0 */ if (mp_iszero(a) != 1) { a->sign = neg; @@ -6449,8 +6449,8 @@ int mp_read_radix (mp_int * a, const char *str, int radix) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_read_radix.c */ @@ -6494,8 +6494,8 @@ int mp_read_signed_bin (mp_int * a, const unsigned char *b, int c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_read_signed_bin.c */ @@ -6553,8 +6553,8 @@ int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_read_unsigned_bin.c */ @@ -6576,7 +6576,7 @@ int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* reduces x mod m, assumes 0 < x < m**2, mu is +/* reduces x mod m, assumes 0 < x < m**2, mu is * precomputed via mp_reduce_setup. * From HAC pp.604 Algorithm 14.42 */ @@ -6591,7 +6591,7 @@ int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) } /* q1 = x / b**(k-1) */ - mp_rshd (&q, um - 1); + mp_rshd (&q, um - 1); /* according to HAC this optimization is ok */ if (((unsigned long) um) > (((mp_digit)1) << (DIGIT_BIT - 1))) { @@ -6607,8 +6607,8 @@ int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) if ((res = fast_s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) { goto CLEANUP; } -#else - { +#else + { res = MP_VAL; goto CLEANUP; } @@ -6616,7 +6616,7 @@ int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) } /* q3 = q2 / b**(k+1) */ - mp_rshd (&q, um + 1); + mp_rshd (&q, um + 1); /* x = x mod b**(k+1), quick (no division) */ if ((res = mp_mod_2d (x, DIGIT_BIT * (um + 1), x)) != MP_OKAY) { @@ -6648,7 +6648,7 @@ int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) goto CLEANUP; } } - + CLEANUP: mp_clear (&q); @@ -6657,8 +6657,8 @@ CLEANUP: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_reduce.c */ @@ -6685,35 +6685,35 @@ int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d) { mp_int q; int p, res; - + if ((res = mp_init(&q)) != MP_OKAY) { return res; } - - p = mp_count_bits(n); + + p = mp_count_bits(n); top: /* q = a/2**p, a = a mod 2**p */ if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { goto ERR; } - + if (d != 1) { /* q = q * d */ - if ((res = mp_mul_d(&q, d, &q)) != MP_OKAY) { + if ((res = mp_mul_d(&q, d, &q)) != MP_OKAY) { goto ERR; } } - + /* a = a + q */ if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { goto ERR; } - + if (mp_cmp_mag(a, n) != MP_LT) { s_mp_sub(a, n, a); goto top; } - + ERR: mp_clear(&q); return res; @@ -6722,8 +6722,8 @@ ERR: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_reduce_2k.c */ @@ -6745,7 +6745,7 @@ ERR: * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* reduces a modulo n where n is of the form 2**p - d +/* reduces a modulo n where n is of the form 2**p - d This differs from reduce_2k since "d" can be larger than a single digit. */ @@ -6753,33 +6753,33 @@ int mp_reduce_2k_l(mp_int *a, mp_int *n, mp_int *d) { mp_int q; int p, res; - + if ((res = mp_init(&q)) != MP_OKAY) { return res; } - - p = mp_count_bits(n); + + p = mp_count_bits(n); top: /* q = a/2**p, a = a mod 2**p */ if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { goto ERR; } - + /* q = q * d */ - if ((res = mp_mul(&q, d, &q)) != MP_OKAY) { + if ((res = mp_mul(&q, d, &q)) != MP_OKAY) { goto ERR; } - + /* a = a + q */ if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { goto ERR; } - + if (mp_cmp_mag(a, n) != MP_LT) { s_mp_sub(a, n, a); goto top; } - + ERR: mp_clear(&q); return res; @@ -6788,8 +6788,8 @@ ERR: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_reduce_2k_l.c */ @@ -6816,22 +6816,22 @@ int mp_reduce_2k_setup(mp_int *a, mp_digit *d) { int res, p; mp_int tmp; - + if ((res = mp_init(&tmp)) != MP_OKAY) { return res; } - + p = mp_count_bits(a); if ((res = mp_2expt(&tmp, p)) != MP_OKAY) { mp_clear(&tmp); return res; } - + if ((res = s_mp_sub(&tmp, a, &tmp)) != MP_OKAY) { mp_clear(&tmp); return res; } - + *d = tmp.dp[0]; mp_clear(&tmp); return MP_OKAY; @@ -6839,8 +6839,8 @@ int mp_reduce_2k_setup(mp_int *a, mp_digit *d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_reduce_2k_setup.c */ @@ -6867,19 +6867,19 @@ int mp_reduce_2k_setup_l(mp_int *a, mp_int *d) { int res; mp_int tmp; - + if ((res = mp_init(&tmp)) != MP_OKAY) { return res; } - + if ((res = mp_2expt(&tmp, mp_count_bits(a))) != MP_OKAY) { goto ERR; } - + if ((res = s_mp_sub(&tmp, a, d)) != MP_OKAY) { goto ERR; } - + ERR: mp_clear(&tmp); return res; @@ -6887,8 +6887,8 @@ ERR: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_reduce_2k_setup_l.c */ @@ -6915,7 +6915,7 @@ int mp_reduce_is_2k(mp_int *a) { int ix, iy, iw; mp_digit iz; - + if (a->used == 0) { return MP_NO; } else if (a->used == 1) { @@ -6924,7 +6924,7 @@ int mp_reduce_is_2k(mp_int *a) iy = mp_count_bits(a); iz = 1; iw = 1; - + /* Test every bit from the second digit up, must be 1 */ for (ix = DIGIT_BIT; ix < iy; ix++) { if ((a->dp[iw] & iz) == 0) { @@ -6943,8 +6943,8 @@ int mp_reduce_is_2k(mp_int *a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_reduce_is_2k.c */ @@ -6970,7 +6970,7 @@ int mp_reduce_is_2k(mp_int *a) int mp_reduce_is_2k_l(mp_int *a) { int ix, iy; - + if (a->used == 0) { return MP_NO; } else if (a->used == 1) { @@ -6983,7 +6983,7 @@ int mp_reduce_is_2k_l(mp_int *a) } } return (iy >= (a->used/2)) ? MP_YES : MP_NO; - + } return MP_NO; } @@ -6991,8 +6991,8 @@ int mp_reduce_is_2k_l(mp_int *a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_reduce_is_2k_l.c */ @@ -7020,7 +7020,7 @@ int mp_reduce_is_2k_l(mp_int *a) int mp_reduce_setup (mp_int * a, mp_int * b) { int res; - + if ((res = mp_2expt (a, b->used * 2 * DIGIT_BIT)) != MP_OKAY) { return res; } @@ -7029,8 +7029,8 @@ int mp_reduce_setup (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_reduce_setup.c */ @@ -7079,8 +7079,8 @@ void mp_rshd (mp_int * a, int b) /* top [offset into digits] */ top = a->dp + b; - /* this is implemented as a sliding window where - * the window is b-digits long and digits from + /* this is implemented as a sliding window where + * the window is b-digits long and digits from * the top of the window are copied to the bottom * * e.g. @@ -7098,15 +7098,15 @@ void mp_rshd (mp_int * a, int b) *bottom++ = 0; } } - + /* remove excess digits */ a->used -= b; } #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_rshd.c */ @@ -7138,8 +7138,8 @@ void mp_set (mp_int * a, mp_digit b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_set.c */ @@ -7167,7 +7167,7 @@ int mp_set_int (mp_int * a, unsigned long b) int x, res; mp_zero (a); - + /* set four bits at a time */ for (x = 0; x < 8; x++) { /* shift the number up four bits */ @@ -7190,8 +7190,8 @@ int mp_set_int (mp_int * a, unsigned long b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_set_int.c */ @@ -7218,10 +7218,10 @@ int mp_shrink (mp_int * a) { mp_digit *tmp; int used = 1; - + if(a->used > 0) used = a->used; - + if (a->alloc != used) { if ((tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * used)) == NULL) { return MP_MEM; @@ -7234,8 +7234,8 @@ int mp_shrink (mp_int * a) #endif /* $Source$ */ -/* $Revision: v0.42.0 $ */ -/* $Date: 2010-06-02 15:09:36 +0200 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_shrink.c */ @@ -7265,8 +7265,8 @@ int mp_signed_bin_size (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_signed_bin_size.c */ @@ -7299,18 +7299,18 @@ mp_sqr (mp_int * a, mp_int * b) if (a->used >= TOOM_SQR_CUTOFF) { res = mp_toom_sqr(a, b); /* Karatsuba? */ - } else + } else #endif #ifdef BN_MP_KARATSUBA_SQR_C if (a->used >= KARATSUBA_SQR_CUTOFF) { res = mp_karatsuba_sqr (a, b); - } else + } else #endif { #ifdef BN_FAST_S_MP_SQR_C /* can we use the fast comba multiplier? */ - if ((a->used * 2 + 1) < MP_WARRAY && - a->used < + if ((a->used * 2 + 1) < MP_WARRAY && + a->used < (1 << (sizeof(mp_word) * CHAR_BIT - 2*DIGIT_BIT - 1))) { res = fast_s_mp_sqr (a, b); } else @@ -7327,8 +7327,8 @@ if (a->used >= KARATSUBA_SQR_CUTOFF) { #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_sqr.c */ @@ -7372,8 +7372,8 @@ mp_sqrmod (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_sqrmod.c */ @@ -7396,7 +7396,7 @@ mp_sqrmod (mp_int * a, mp_int * b, mp_int * c) */ /* this function is less generic than mp_n_root, simpler and faster */ -int mp_sqrt(mp_int *arg, mp_int *ret) +int mp_sqrt(mp_int *arg, mp_int *ret) { int res; mp_int t1,t2; @@ -7423,7 +7423,7 @@ int mp_sqrt(mp_int *arg, mp_int *ret) /* First approx. (not very bad for large arg) */ mp_rshd (&t1,t1.used/2); - /* t1 > 0 */ + /* t1 > 0 */ if ((res = mp_div(arg,&t1,&t2,NULL)) != MP_OKAY) { goto E1; } @@ -7434,7 +7434,7 @@ int mp_sqrt(mp_int *arg, mp_int *ret) goto E1; } /* And now t1 > sqrt(arg) */ - do { + do { if ((res = mp_div(arg,&t1,&t2,NULL)) != MP_OKAY) { goto E1; } @@ -7457,8 +7457,8 @@ E2: mp_clear(&t1); #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_sqrt.c */ @@ -7520,8 +7520,8 @@ mp_sub (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_sub.c */ @@ -7617,8 +7617,8 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_sub_d.c */ @@ -7663,8 +7663,8 @@ mp_submod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_submod.c */ @@ -7700,8 +7700,8 @@ int mp_to_signed_bin (mp_int * a, unsigned char *b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_to_signed_bin.c */ @@ -7735,8 +7735,8 @@ int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_to_signed_bin_n.c */ @@ -7787,8 +7787,8 @@ int mp_to_unsigned_bin (mp_int * a, unsigned char *b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_to_unsigned_bin.c */ @@ -7822,8 +7822,8 @@ int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_to_unsigned_bin_n.c */ @@ -7845,28 +7845,28 @@ int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* multiplication using the Toom-Cook 3-way algorithm +/* multiplication using the Toom-Cook 3-way algorithm * - * Much more complicated than Karatsuba but has a lower - * asymptotic running time of O(N**1.464). This algorithm is - * only particularly useful on VERY large inputs + * Much more complicated than Karatsuba but has a lower + * asymptotic running time of O(N**1.464). This algorithm is + * only particularly useful on VERY large inputs * (we're talking 1000s of digits here...). */ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) { mp_int w0, w1, w2, w3, w4, tmp1, tmp2, a0, a1, a2, b0, b1, b2; int res, B; - + /* init temps */ - if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, - &a0, &a1, &a2, &b0, &b1, + if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, + &a0, &a1, &a2, &b0, &b1, &b2, &tmp1, &tmp2, NULL)) != MP_OKAY) { return res; } - + /* B */ B = MIN(a->used, b->used) / 3; - + /* a = a2 * B**2 + a1 * B + a0 */ if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) { goto ERR; @@ -7882,7 +7882,7 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) goto ERR; } mp_rshd(&a2, B*2); - + /* b = b2 * B**2 + b1 * B + b0 */ if ((res = mp_mod_2d(b, DIGIT_BIT * B, &b0)) != MP_OKAY) { goto ERR; @@ -7898,17 +7898,17 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) goto ERR; } mp_rshd(&b2, B*2); - + /* w0 = a0*b0 */ if ((res = mp_mul(&a0, &b0, &w0)) != MP_OKAY) { goto ERR; } - + /* w4 = a2 * b2 */ if ((res = mp_mul(&a2, &b2, &w4)) != MP_OKAY) { goto ERR; } - + /* w1 = (a2 + 2(a1 + 2a0))(b2 + 2(b1 + 2b0)) */ if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) { goto ERR; @@ -7922,7 +7922,7 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) { goto ERR; } - + if ((res = mp_mul_2(&b0, &tmp2)) != MP_OKAY) { goto ERR; } @@ -7935,11 +7935,11 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_add(&tmp2, &b2, &tmp2)) != MP_OKAY) { goto ERR; } - + if ((res = mp_mul(&tmp1, &tmp2, &w1)) != MP_OKAY) { goto ERR; } - + /* w3 = (a0 + 2(a1 + 2a2))(b0 + 2(b1 + 2b2)) */ if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) { goto ERR; @@ -7953,7 +7953,7 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { goto ERR; } - + if ((res = mp_mul_2(&b2, &tmp2)) != MP_OKAY) { goto ERR; } @@ -7966,11 +7966,11 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) { goto ERR; } - + if ((res = mp_mul(&tmp1, &tmp2, &w3)) != MP_OKAY) { goto ERR; } - + /* w2 = (a2 + a1 + a0)(b2 + b1 + b0) */ if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) { @@ -7988,19 +7988,19 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_mul(&tmp1, &tmp2, &w2)) != MP_OKAY) { goto ERR; } - - /* now solve the matrix - + + /* now solve the matrix + 0 0 0 0 1 1 2 4 8 16 1 1 1 1 1 16 8 4 2 1 1 0 0 0 0 - - using 12 subtractions, 4 shifts, - 2 small divisions and 1 small multiplication + + using 12 subtractions, 4 shifts, + 2 small divisions and 1 small multiplication */ - + /* r1 - r4 */ if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { goto ERR; @@ -8072,7 +8072,7 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { goto ERR; } - + /* at this point shift W[n] by B*n */ if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { goto ERR; @@ -8085,8 +8085,8 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) } if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { goto ERR; - } - + } + if ((res = mp_add(&w0, &w1, c)) != MP_OKAY) { goto ERR; } @@ -8098,20 +8098,20 @@ int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) } if ((res = mp_add(&tmp1, c, c)) != MP_OKAY) { goto ERR; - } - + } + ERR: - mp_clear_multi(&w0, &w1, &w2, &w3, &w4, - &a0, &a1, &a2, &b0, &b1, + mp_clear_multi(&w0, &w1, &w2, &w3, &w4, + &a0, &a1, &a2, &b0, &b1, &b2, &tmp1, &tmp2, NULL); return res; -} - +} + #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_toom_mul.c */ @@ -8340,8 +8340,8 @@ ERR: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_toom_sqr.c */ @@ -8419,8 +8419,8 @@ int mp_toradix (mp_int * a, char *str, int radix) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_toradix.c */ @@ -8442,9 +8442,9 @@ int mp_toradix (mp_int * a, char *str, int radix) * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ -/* stores a bignum as a ASCII string in a given radix (2..64) +/* stores a bignum as a ASCII string in a given radix (2..64) * - * Stores upto maxlen-1 chars and always a NULL byte + * Stores upto maxlen-1 chars and always a NULL byte */ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) { @@ -8477,7 +8477,7 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) /* store the flag and mark the number as positive */ *str++ = '-'; t.sign = MP_ZPOS; - + /* subtract a char */ --maxlen; } @@ -8511,8 +8511,8 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_toradix_n.c */ @@ -8543,8 +8543,8 @@ int mp_unsigned_bin_size (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_unsigned_bin_size.c */ @@ -8598,8 +8598,8 @@ mp_xor (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_xor.c */ @@ -8638,8 +8638,8 @@ void mp_zero (mp_int * a) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_mp_zero.c */ @@ -8703,8 +8703,8 @@ const mp_digit ltm_prime_tab[] = { #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_prime_tab.c */ @@ -8746,8 +8746,8 @@ bn_reverse (unsigned char *s, int len) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_reverse.c */ @@ -8828,8 +8828,8 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) *tmpc++ &= MP_MASK; } - /* now copy higher words if any, that is in A+B - * if A or B has more digits add those in + /* now copy higher words if any, that is in A+B + * if A or B has more digits add those in */ if (min != max) { for (; i < max; i++) { @@ -8859,8 +8859,8 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_s_mp_add.c */ @@ -8921,7 +8921,7 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) /* init M array */ /* init first cell */ if ((err = mp_init(&M[1])) != MP_OKAY) { - return err; + return err; } /* now init the second half of the array */ @@ -8939,7 +8939,7 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) if ((err = mp_init (&mu)) != MP_OKAY) { goto LBL_M; } - + if (redmode == 0) { if ((err = mp_reduce_setup (&mu, P)) != MP_OKAY) { goto LBL_MU; @@ -8950,22 +8950,22 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) goto LBL_MU; } redux = mp_reduce_2k_l; - } + } /* create M table * - * The M table contains powers of the base, + * The M table contains powers of the base, * e.g. M[x] = G**x mod P * - * The first half of the table is not + * The first half of the table is not * computed though accept for M[0] and M[1] */ if ((err = mp_mod (G, P, &M[1])) != MP_OKAY) { goto LBL_MU; } - /* compute the value at M[1<<(winsize-1)] by squaring - * M[1] (winsize-1) times + /* compute the value at M[1<<(winsize-1)] by squaring + * M[1] (winsize-1) times */ if ((err = mp_copy (&M[1], &M[1 << (winsize - 1)])) != MP_OKAY) { goto LBL_MU; @@ -8973,7 +8973,7 @@ int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) for (x = 0; x < (winsize - 1); x++) { /* square it */ - if ((err = mp_sqr (&M[1 << (winsize - 1)], + if ((err = mp_sqr (&M[1 << (winsize - 1)], &M[1 << (winsize - 1)])) != MP_OKAY) { goto LBL_MU; } @@ -9115,8 +9115,8 @@ LBL_M: #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_s_mp_exptmod.c */ @@ -9139,7 +9139,7 @@ LBL_M: */ /* multiplies |a| * |b| and only computes upto digs digits of result - * HAC pp. 595, Algorithm 14.12 Modified so you can control how + * HAC pp. 595, Algorithm 14.12 Modified so you can control how * many digits of output are created. */ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) @@ -9152,7 +9152,7 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* can we use the fast multiplier? */ if (((digs) < MP_WARRAY) && - MIN (a->used, b->used) < + MIN (a->used, b->used) < (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { return fast_s_mp_mul_digs (a, b, c, digs); } @@ -9174,10 +9174,10 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) /* setup some aliases */ /* copy of the digit from a used within the nested loop */ tmpx = a->dp[ix]; - + /* an alias for the destination shifted ix places */ tmpt = t.dp + ix; - + /* an alias for the digits of b */ tmpy = b->dp; @@ -9209,8 +9209,8 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_s_mp_mul_digs.c */ @@ -9294,8 +9294,8 @@ s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_s_mp_mul_high_digs.c */ @@ -9350,7 +9350,7 @@ int s_mp_sqr (mp_int * a, mp_int * b) /* alias for where to store the results */ tmpt = t.dp + (2*ix + 1); - + for (iy = ix + 1; iy < pa; iy++) { /* first calculate the product */ r = ((mp_word)tmpx) * ((mp_word)a->dp[iy]); @@ -9382,8 +9382,8 @@ int s_mp_sqr (mp_int * a, mp_int * b) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_s_mp_sqr.c */ @@ -9475,8 +9475,8 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bn_s_mp_sub.c */ @@ -9504,19 +9504,19 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) ------------------------------------------------------------- Intel P4 Northwood /GCC v3.4.1 / 88/ 128/LTM 0.32 ;-) AMD Athlon64 /GCC v3.4.4 / 80/ 120/LTM 0.35 - + */ int KARATSUBA_MUL_CUTOFF = 80, /* Min. number of digits before Karatsuba multiplication is used. */ KARATSUBA_SQR_CUTOFF = 120, /* Min. number of digits before Karatsuba squaring is used. */ - + TOOM_MUL_CUTOFF = 350, /* no optimal values of these are known yet so set em high */ - TOOM_SQR_CUTOFF = 400; + TOOM_SQR_CUTOFF = 400; #endif /* $Source$ */ -/* $Revision: 0.41 $ */ -/* $Date: 2007-04-18 09:58:18 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ /* End: bncore.c */ diff --git a/libtommath/testme.sh b/libtommath/testme.sh new file mode 100755 index 0000000..6324525 --- /dev/null +++ b/libtommath/testme.sh @@ -0,0 +1,174 @@ +#!/bin/bash +# +# return values of this script are: +# 0 success +# 128 a test failed +# >0 the number of timed-out tests + +set -e + +if [ -f /proc/cpuinfo ] +then + MAKE_JOBS=$(( ($(cat /proc/cpuinfo | grep -E '^processor[[:space:]]*:' | tail -n -1 | cut -d':' -f2) + 1) * 2 + 1 )) +else + MAKE_JOBS=8 +fi + +ret=0 +TEST_CFLAGS="" + +_help() +{ + echo "Usage options for $(basename $0) [--with-cc=arg [other options]]" + echo + echo "Executing this script without any parameter will only run the default configuration" + echo "that has automatically been determined for the architecture you're running." + echo + echo " --with-cc=* The compiler(s) to use for the tests" + echo " This is an option that will be iterated." + echo + echo "To be able to specify options a compiler has to be given." + echo "All options will be tested with all MP_xBIT configurations." + echo + echo " --with-{m64,m32,mx32} The architecture(s) to build and test for," + echo " e.g. --with-mx32." + echo " This is an option that will be iterated, multiple selections are possible." + echo " The mx32 architecture is not supported by clang and will not be executed." + echo + echo " --cflags=* Give an option to the compiler," + echo " e.g. --cflags=-g" + echo " This is an option that will always be passed as parameter to CC." + echo + echo " --make-option=* Give an option to make," + echo " e.g. --make-option=\"-f makefile.shared\"" + echo " This is an option that will always be passed as parameter to make." + echo + echo "Godmode:" + echo + echo " --all Choose all architectures and gcc and clang as compilers" + echo + echo " --help This message" + exit 0 +} + +_die() +{ + echo "error $2 while $1" + if [ "$2" != "124" ] + then + exit 128 + else + echo "assuming timeout while running test - continue" + ret=$(( $ret + 1 )) + fi +} + +_runtest() +{ + echo -ne " Compile $1 $2" + make clean > /dev/null + CC="$1" CFLAGS="$2 $TEST_CFLAGS" make -j$MAKE_JOBS test_standalone $MAKE_OPTIONS > /dev/null 2>test_errors.txt + echo -e "\rRun test $1 $2" + timeout --foreground 90 ./test > test_$(echo ${1}${2} | tr ' ' '_').txt || _die "running tests" $? +} + +_banner() +{ + echo "uname="$(uname -a) + [[ "$#" != "0" ]] && (echo $1=$($1 -dumpversion)) || true +} + +_exit() +{ + if [ "$ret" == "0" ] + then + echo "Tests successful" + else + echo "$ret tests timed out" + fi + + exit $ret +} + +ARCHFLAGS="" +COMPILERS="" +CFLAGS="" + +while [ $# -gt 0 ]; +do + case $1 in + "--with-m64" | "--with-m32" | "--with-mx32") + ARCHFLAGS="$ARCHFLAGS ${1:6}" + ;; + --with-cc=*) + COMPILERS="$COMPILERS ${1#*=}" + ;; + --cflags=*) + CFLAGS="$CFLAGS ${1#*=}" + ;; + --make-option=*) + MAKE_OPTIONS="$MAKE_OPTIONS ${1#*=}" + ;; + --all) + COMPILERS="gcc clang" + ARCHFLAGS="-m64 -m32 -mx32" + ;; + --help) + _help + ;; + esac + shift +done + +# default to gcc if nothing is given +if [[ "$COMPILERS" == "" ]] +then + _banner gcc + _runtest "gcc" "" + _exit +fi + +archflags=( $ARCHFLAGS ) +compilers=( $COMPILERS ) + +# choosing a compiler without specifying an architecture will use the default architecture +if [ "${#archflags[@]}" == "0" ] +then + archflags[0]=" " +fi + +_banner + +for i in "${compilers[@]}" +do + if [ -z "$(which $i)" ] + then + echo "Skipped compiler $i, file not found" + continue + fi + compiler_version=$(echo "$i="$($i -dumpversion)) + if [ "$compiler_version" == "clang=4.2.1" ] + then + # one of my versions of clang complains about some stuff in stdio.h and stdarg.h ... + TEST_CFLAGS="-Wno-typedef-redefinition" + else + TEST_CFLAGS="" + fi + echo $compiler_version + + for a in "${archflags[@]}" + do + if [[ $(expr "$i" : "clang") && "$a" == "-mx32" ]] + then + echo "clang -mx32 tests skipped" + continue + fi + + _runtest "$i $a" "" + _runtest "$i $a" "-DMP_8BIT" + _runtest "$i $a" "-DMP_16BIT" + _runtest "$i $a" "-DMP_32BIT" + done +done + +_exit diff --git a/libtommath/tommath.h b/libtommath/tommath.h index cf9c499..4c66e15 100644 --- a/libtommath/tommath.h +++ b/libtommath/tommath.h @@ -10,44 +10,25 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tstdenis82@gmail.com, http://math.libtomcrypt.com */ #ifndef BN_H_ #define BN_H_ #include -#include #include -#include +#include #include #include -#ifndef MIN - #define MIN(x,y) ((x)<(y)?(x):(y)) -#endif - -#ifndef MAX - #define MAX(x,y) ((x)>(y)?(x):(y)) -#endif - #ifdef __cplusplus extern "C" { - -/* C++ compilers don't like assigning void * to mp_digit * */ -#define OPT_CAST(x) (x *) - -#else - -/* C on the other hand doesn't care */ -#define OPT_CAST(x) - #endif - /* detect 64-bit mode if possible */ -#if defined(__x86_64__) - #if !(defined(MP_64BIT) && defined(MP_16BIT) && defined(MP_8BIT)) +#if defined(__x86_64__) + #if !(defined(MP_32BIT) || defined(MP_16BIT) || defined(MP_8BIT)) #define MP_64BIT #endif #endif @@ -61,70 +42,78 @@ extern "C" { * [any size beyond that is ok provided it doesn't overflow the data type] */ #ifdef MP_8BIT - typedef unsigned char mp_digit; - typedef unsigned short mp_word; + typedef uint8_t mp_digit; + typedef uint16_t mp_word; +#define MP_SIZEOF_MP_DIGIT 1 +#ifdef DIGIT_BIT +#error You must not define DIGIT_BIT when using MP_8BIT +#endif #elif defined(MP_16BIT) - typedef unsigned short mp_digit; - typedef unsigned long mp_word; + typedef uint16_t mp_digit; + typedef uint32_t mp_word; +#define MP_SIZEOF_MP_DIGIT 2 +#ifdef DIGIT_BIT +#error You must not define DIGIT_BIT when using MP_16BIT +#endif #elif defined(MP_64BIT) /* for GCC only on supported platforms */ #ifndef CRYPT - typedef unsigned long long ulong64; - typedef signed long long long64; + typedef unsigned long long ulong64; + typedef signed long long long64; #endif - typedef unsigned long mp_digit; - typedef unsigned long mp_word __attribute__ ((mode(TI))); + typedef uint64_t mp_digit; +#if defined(_WIN32) + typedef unsigned __int128 mp_word; +#elif defined(__GNUC__) + typedef unsigned long mp_word __attribute__ ((mode(TI))); +#else + /* it seems you have a problem + * but we assume you can somewhere define your own uint128_t */ + typedef uint128_t mp_word; +#endif - #define DIGIT_BIT 60 + #define DIGIT_BIT 60 #else /* this is the default case, 28-bit digits */ - + /* this is to make porting into LibTomCrypt easier :-) */ #ifndef CRYPT - #if defined(_MSC_VER) || defined(__BORLANDC__) - typedef unsigned __int64 ulong64; - typedef signed __int64 long64; - #else - typedef unsigned long long ulong64; - typedef signed long long long64; - #endif + typedef unsigned long long ulong64; + typedef signed long long long64; #endif - typedef unsigned long mp_digit; - typedef ulong64 mp_word; + typedef uint32_t mp_digit; + typedef uint64_t mp_word; -#ifdef MP_31BIT +#ifdef MP_31BIT /* this is an extension that uses 31-bit digits */ - #define DIGIT_BIT 31 + #define DIGIT_BIT 31 #else /* default case is 28-bit digits, defines MP_28BIT as a handy macro to test */ - #define DIGIT_BIT 28 + #define DIGIT_BIT 28 #define MP_28BIT -#endif #endif - -/* define heap macros */ -#ifndef CRYPT - /* default to libc stuff */ - #ifndef XMALLOC - #define XMALLOC malloc - #define XFREE free - #define XREALLOC realloc - #define XCALLOC calloc - #else - /* prototypes for our heap functions */ - extern void *XMALLOC(size_t n); - extern void *XREALLOC(void *p, size_t n); - extern void *XCALLOC(size_t n, size_t s); - extern void XFREE(void *p); - #endif #endif - /* otherwise the bits per digit is calculated automatically from the size of a mp_digit */ #ifndef DIGIT_BIT - #define DIGIT_BIT ((int)((CHAR_BIT * sizeof(mp_digit) - 1))) /* bits per digit */ + #define DIGIT_BIT (((CHAR_BIT * MP_SIZEOF_MP_DIGIT) - 1)) /* bits per digit */ + typedef uint_least32_t mp_min_u32; +#else + typedef mp_digit mp_min_u32; +#endif + +/* platforms that can use a better rand function */ +#if defined(__FreeBSD__) || defined(__OpenBSD__) || defined(__NetBSD__) || defined(__DragonFly__) + #define MP_USE_ALT_RAND 1 +#endif + +/* use arc4random on platforms that support it */ +#ifdef MP_USE_ALT_RAND + #define MP_GEN_RANDOM() arc4random() +#else + #define MP_GEN_RANDOM() rand() #endif #define MP_DIGIT_BIT DIGIT_BIT @@ -169,11 +158,11 @@ extern int KARATSUBA_MUL_CUTOFF, #define MP_PREC 32 /* default digits of precision */ #else #define MP_PREC 8 /* default digits of precision */ - #endif + #endif #endif /* size of comba arrays, should be at least 2 * 2**(BITS_PER_WORD - BITS_PER_DIGIT*2) */ -#define MP_WARRAY (1 << (sizeof(mp_word) * CHAR_BIT - 2 * DIGIT_BIT + 1)) +#define MP_WARRAY (1 << (((sizeof(mp_word) * CHAR_BIT) - (2 * DIGIT_BIT)) + 1)) /* the infamous mp_int structure */ typedef struct { @@ -190,7 +179,7 @@ typedef int ltm_prime_callback(unsigned char *dst, int len, void *dat); #define SIGN(m) ((m)->sign) /* error code to char* string */ -char *mp_error_to_string(int code); +const char *mp_error_to_string(int code); /* ---> init and deinit bignum functions <--- */ /* init a bignum */ @@ -219,8 +208,9 @@ int mp_init_size(mp_int *a, int size); /* ---> Basic Manipulations <--- */ #define mp_iszero(a) (((a)->used == 0) ? MP_YES : MP_NO) -#define mp_iseven(a) (((a)->used > 0 && (((a)->dp[0] & 1) == 0)) ? MP_YES : MP_NO) -#define mp_isodd(a) (((a)->used > 0 && (((a)->dp[0] & 1) == 1)) ? MP_YES : MP_NO) +#define mp_iseven(a) ((((a)->used > 0) && (((a)->dp[0] & 1u) == 0u)) ? MP_YES : MP_NO) +#define mp_isodd(a) ((((a)->used > 0) && (((a)->dp[0] & 1u) == 1u)) ? MP_YES : MP_NO) +#define mp_isneg(a) (((a)->sign != MP_ZPOS) ? MP_YES : MP_NO) /* set to zero */ void mp_zero(mp_int *a); @@ -231,9 +221,21 @@ void mp_set(mp_int *a, mp_digit b); /* set a 32-bit const */ int mp_set_int(mp_int *a, unsigned long b); +/* set a platform dependent unsigned long value */ +int mp_set_long(mp_int *a, unsigned long b); + +/* set a platform dependent unsigned long long value */ +int mp_set_long_long(mp_int *a, unsigned long long b); + /* get a 32-bit value */ unsigned long mp_get_int(mp_int * a); +/* get a platform dependent unsigned long value */ +unsigned long mp_get_long(mp_int * a); + +/* get a platform dependent unsigned long long value */ +unsigned long long mp_get_long_long(mp_int * a); + /* initialize and set a digit */ int mp_init_set (mp_int * a, mp_digit b); @@ -249,6 +251,12 @@ int mp_init_copy(mp_int *a, mp_int *b); /* trim unused digits */ void mp_clamp(mp_int *a); +/* import binary data */ +int mp_import(mp_int* rop, size_t count, int order, size_t size, int endian, size_t nails, const void* op); + +/* export binary data */ +int mp_export(void* rop, size_t* countp, int order, size_t size, int endian, size_t nails, mp_int* op); + /* ---> digit manipulation <--- */ /* right shift by "b" digits */ @@ -257,19 +265,19 @@ void mp_rshd(mp_int *a, int b); /* left shift by "b" digits */ int mp_lshd(mp_int *a, int b); -/* c = a / 2**b */ +/* c = a / 2**b, implemented as c = a >> b */ int mp_div_2d(mp_int *a, int b, mp_int *c, mp_int *d); /* b = a/2 */ int mp_div_2(mp_int *a, mp_int *b); -/* c = a * 2**b */ +/* c = a * 2**b, implemented as c = a << b */ int mp_mul_2d(mp_int *a, int b, mp_int *c); /* b = a*2 */ int mp_mul_2(mp_int *a, mp_int *b); -/* c = a mod 2**d */ +/* c = a mod 2**b */ int mp_mod_2d(mp_int *a, int b, mp_int *c); /* computes a = 2**b */ @@ -347,6 +355,7 @@ int mp_div_3(mp_int *a, mp_int *c, mp_digit *d); /* c = a**b */ int mp_expt_d(mp_int *a, mp_digit b, mp_int *c); +int mp_expt_d_ex (mp_int * a, mp_digit b, mp_int * c, int fast); /* c = a mod b, 0 <= c < b */ int mp_mod_d(mp_int *a, mp_digit b, mp_digit *c); @@ -382,10 +391,14 @@ int mp_lcm(mp_int *a, mp_int *b, mp_int *c); * returns error if a < 0 and b is even */ int mp_n_root(mp_int *a, mp_digit b, mp_int *c); +int mp_n_root_ex (mp_int * a, mp_digit b, mp_int * c, int fast); /* special sqrt algo */ int mp_sqrt(mp_int *arg, mp_int *ret); +/* special sqrt (mod prime) */ +int mp_sqrtmod_prime(mp_int *arg, mp_int *prime, mp_int *ret); + /* is number a square? */ int mp_is_square(mp_int *arg, int *ret); @@ -453,7 +466,7 @@ int mp_exptmod(mp_int *a, mp_int *b, mp_int *c, mp_int *d); #endif /* table of first PRIME_SIZE primes */ -extern const mp_digit ltm_prime_tab[]; +extern const mp_digit ltm_prime_tab[PRIME_SIZE]; /* result=1 if a is divisible by one of the first PRIME_SIZE primes */ int mp_prime_is_divisible(mp_int *a, int *result); @@ -469,7 +482,7 @@ int mp_prime_fermat(mp_int *a, mp_int *b, int *result); int mp_prime_miller_rabin(mp_int *a, mp_int *b, int *result); /* This gives [for a given bit size] the number of trials required - * such that Miller-Rabin gives a prob of failure lower than 2^-96 + * such that Miller-Rabin gives a prob of failure lower than 2^-96 */ int mp_prime_rabin_miller_trials(int size); @@ -490,7 +503,7 @@ int mp_prime_is_prime(mp_int *a, int t, int *result); int mp_prime_next_prime(mp_int *a, int t, int bbs_style); /* makes a truly random prime of a given size (bytes), - * call with bbs = 1 if you want it to be congruent to 3 mod 4 + * call with bbs = 1 if you want it to be congruent to 3 mod 4 * * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself @@ -503,10 +516,9 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style); /* makes a truly random prime of a given size (bits), * * Flags are as follows: - * + * * LTM_PRIME_BBS - make prime congruent to 3 mod 4 * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS) - * LTM_PRIME_2MSB_OFF - make the 2nd highest bit zero * LTM_PRIME_2MSB_ON - make the 2nd highest bit one * * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can @@ -534,8 +546,10 @@ int mp_toradix(mp_int *a, char *str, int radix); int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen); int mp_radix_size(mp_int *a, int radix, int *size); +#ifndef LTM_NO_FILE int mp_fread(mp_int *a, int radix, FILE *stream); int mp_fwrite(mp_int *a, int radix, FILE *stream); +#endif #define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len)) #define mp_raw_size(mp) mp_signed_bin_size(mp) @@ -549,29 +563,6 @@ int mp_fwrite(mp_int *a, int radix, FILE *stream); #define mp_todecimal(M, S) mp_toradix((M), (S), 10) #define mp_tohex(M, S) mp_toradix((M), (S), 16) -/* lowlevel functions, do not call! */ -int s_mp_add(mp_int *a, mp_int *b, mp_int *c); -int s_mp_sub(mp_int *a, mp_int *b, mp_int *c); -#define s_mp_mul(a, b, c) s_mp_mul_digs(a, b, c, (a)->used + (b)->used + 1) -int fast_s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -int s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -int fast_s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -int s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); -int fast_s_mp_sqr(mp_int *a, mp_int *b); -int s_mp_sqr(mp_int *a, mp_int *b); -int mp_karatsuba_mul(mp_int *a, mp_int *b, mp_int *c); -int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c); -int mp_karatsuba_sqr(mp_int *a, mp_int *b); -int mp_toom_sqr(mp_int *a, mp_int *b); -int fast_mp_invmod(mp_int *a, mp_int *b, mp_int *c); -int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c); -int fast_mp_montgomery_reduce(mp_int *a, mp_int *m, mp_digit mp); -int mp_exptmod_fast(mp_int *G, mp_int *X, mp_int *P, mp_int *Y, int mode); -int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int mode); -void bn_reverse(unsigned char *s, int len); - -extern const char *mp_s_rmap; - #ifdef __cplusplus } #endif @@ -580,5 +571,5 @@ extern const char *mp_s_rmap; /* $Source$ */ -/* $Revision: 0.39 $ */ -/* $Date: 2006-04-06 19:49:59 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/tommath.out b/libtommath/tommath.out index 9f62617..de4aada 100644 --- a/libtommath/tommath.out +++ b/libtommath/tommath.out @@ -1,139 +1,139 @@ -\BOOKMARK [0][-]{chapter.1}{Introduction}{} -\BOOKMARK [1][-]{section.1.1}{Multiple Precision Arithmetic}{chapter.1} -\BOOKMARK [2][-]{subsection.1.1.1}{What is Multiple Precision Arithmetic?}{section.1.1} -\BOOKMARK [2][-]{subsection.1.1.2}{The Need for Multiple Precision Arithmetic}{section.1.1} -\BOOKMARK [2][-]{subsection.1.1.3}{Benefits of Multiple Precision Arithmetic}{section.1.1} -\BOOKMARK [1][-]{section.1.2}{Purpose of This Text}{chapter.1} -\BOOKMARK [1][-]{section.1.3}{Discussion and Notation}{chapter.1} -\BOOKMARK [2][-]{subsection.1.3.1}{Notation}{section.1.3} -\BOOKMARK [2][-]{subsection.1.3.2}{Precision Notation}{section.1.3} -\BOOKMARK [2][-]{subsection.1.3.3}{Algorithm Inputs and Outputs}{section.1.3} -\BOOKMARK [2][-]{subsection.1.3.4}{Mathematical Expressions}{section.1.3} -\BOOKMARK [2][-]{subsection.1.3.5}{Work Effort}{section.1.3} -\BOOKMARK [1][-]{section.1.4}{Exercises}{chapter.1} -\BOOKMARK [1][-]{section.1.5}{Introduction to LibTomMath}{chapter.1} -\BOOKMARK [2][-]{subsection.1.5.1}{What is LibTomMath?}{section.1.5} -\BOOKMARK [2][-]{subsection.1.5.2}{Goals of LibTomMath}{section.1.5} -\BOOKMARK [1][-]{section.1.6}{Choice of LibTomMath}{chapter.1} -\BOOKMARK [2][-]{subsection.1.6.1}{Code Base}{section.1.6} -\BOOKMARK [2][-]{subsection.1.6.2}{API Simplicity}{section.1.6} -\BOOKMARK [2][-]{subsection.1.6.3}{Optimizations}{section.1.6} -\BOOKMARK [2][-]{subsection.1.6.4}{Portability and Stability}{section.1.6} -\BOOKMARK [2][-]{subsection.1.6.5}{Choice}{section.1.6} -\BOOKMARK [0][-]{chapter.2}{Getting Started}{} -\BOOKMARK [1][-]{section.2.1}{Library Basics}{chapter.2} -\BOOKMARK [1][-]{section.2.2}{What is a Multiple Precision Integer?}{chapter.2} -\BOOKMARK [2][-]{subsection.2.2.1}{The mp\137int Structure}{section.2.2} -\BOOKMARK [1][-]{section.2.3}{Argument Passing}{chapter.2} -\BOOKMARK [1][-]{section.2.4}{Return Values}{chapter.2} -\BOOKMARK [1][-]{section.2.5}{Initialization and Clearing}{chapter.2} -\BOOKMARK [2][-]{subsection.2.5.1}{Initializing an mp\137int}{section.2.5} -\BOOKMARK [2][-]{subsection.2.5.2}{Clearing an mp\137int}{section.2.5} -\BOOKMARK [1][-]{section.2.6}{Maintenance Algorithms}{chapter.2} -\BOOKMARK [2][-]{subsection.2.6.1}{Augmenting an mp\137int's Precision}{section.2.6} -\BOOKMARK [2][-]{subsection.2.6.2}{Initializing Variable Precision mp\137ints}{section.2.6} -\BOOKMARK [2][-]{subsection.2.6.3}{Multiple Integer Initializations and Clearings}{section.2.6} -\BOOKMARK [2][-]{subsection.2.6.4}{Clamping Excess Digits}{section.2.6} -\BOOKMARK [0][-]{chapter.3}{Basic Operations}{} -\BOOKMARK [1][-]{section.3.1}{Introduction}{chapter.3} -\BOOKMARK [1][-]{section.3.2}{Assigning Values to mp\137int Structures}{chapter.3} -\BOOKMARK [2][-]{subsection.3.2.1}{Copying an mp\137int}{section.3.2} -\BOOKMARK [2][-]{subsection.3.2.2}{Creating a Clone}{section.3.2} -\BOOKMARK [1][-]{section.3.3}{Zeroing an Integer}{chapter.3} -\BOOKMARK [1][-]{section.3.4}{Sign Manipulation}{chapter.3} -\BOOKMARK [2][-]{subsection.3.4.1}{Absolute Value}{section.3.4} -\BOOKMARK [2][-]{subsection.3.4.2}{Integer Negation}{section.3.4} -\BOOKMARK [1][-]{section.3.5}{Small Constants}{chapter.3} -\BOOKMARK [2][-]{subsection.3.5.1}{Setting Small Constants}{section.3.5} -\BOOKMARK [2][-]{subsection.3.5.2}{Setting Large Constants}{section.3.5} -\BOOKMARK [1][-]{section.3.6}{Comparisons}{chapter.3} -\BOOKMARK [2][-]{subsection.3.6.1}{Unsigned Comparisions}{section.3.6} -\BOOKMARK [2][-]{subsection.3.6.2}{Signed Comparisons}{section.3.6} -\BOOKMARK [0][-]{chapter.4}{Basic Arithmetic}{} -\BOOKMARK [1][-]{section.4.1}{Introduction}{chapter.4} -\BOOKMARK [1][-]{section.4.2}{Addition and Subtraction}{chapter.4} -\BOOKMARK [2][-]{subsection.4.2.1}{Low Level Addition}{section.4.2} -\BOOKMARK [2][-]{subsection.4.2.2}{Low Level Subtraction}{section.4.2} -\BOOKMARK [2][-]{subsection.4.2.3}{High Level Addition}{section.4.2} -\BOOKMARK [2][-]{subsection.4.2.4}{High Level Subtraction}{section.4.2} -\BOOKMARK [1][-]{section.4.3}{Bit and Digit Shifting}{chapter.4} -\BOOKMARK [2][-]{subsection.4.3.1}{Multiplication by Two}{section.4.3} -\BOOKMARK [2][-]{subsection.4.3.2}{Division by Two}{section.4.3} -\BOOKMARK [1][-]{section.4.4}{Polynomial Basis Operations}{chapter.4} -\BOOKMARK [2][-]{subsection.4.4.1}{Multiplication by x}{section.4.4} -\BOOKMARK [2][-]{subsection.4.4.2}{Division by x}{section.4.4} -\BOOKMARK [1][-]{section.4.5}{Powers of Two}{chapter.4} -\BOOKMARK [2][-]{subsection.4.5.1}{Multiplication by Power of Two}{section.4.5} -\BOOKMARK [2][-]{subsection.4.5.2}{Division by Power of Two}{section.4.5} -\BOOKMARK [2][-]{subsection.4.5.3}{Remainder of Division by Power of Two}{section.4.5} -\BOOKMARK [0][-]{chapter.5}{Multiplication and Squaring}{} -\BOOKMARK [1][-]{section.5.1}{The Multipliers}{chapter.5} -\BOOKMARK [1][-]{section.5.2}{Multiplication}{chapter.5} -\BOOKMARK [2][-]{subsection.5.2.1}{The Baseline Multiplication}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.2}{Faster Multiplication by the ``Comba'' Method}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.3}{Polynomial Basis Multiplication}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.4}{Karatsuba Multiplication}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.5}{Toom-Cook 3-Way Multiplication}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.6}{Signed Multiplication}{section.5.2} -\BOOKMARK [1][-]{section.5.3}{Squaring}{chapter.5} -\BOOKMARK [2][-]{subsection.5.3.1}{The Baseline Squaring Algorithm}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.2}{Faster Squaring by the ``Comba'' Method}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.3}{Polynomial Basis Squaring}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.4}{Karatsuba Squaring}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.5}{Toom-Cook Squaring}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.6}{High Level Squaring}{section.5.3} -\BOOKMARK [0][-]{chapter.6}{Modular Reduction}{} -\BOOKMARK [1][-]{section.6.1}{Basics of Modular Reduction}{chapter.6} -\BOOKMARK [1][-]{section.6.2}{The Barrett Reduction}{chapter.6} -\BOOKMARK [2][-]{subsection.6.2.1}{Fixed Point Arithmetic}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.2}{Choosing a Radix Point}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.3}{Trimming the Quotient}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.4}{Trimming the Residue}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.5}{The Barrett Algorithm}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.6}{The Barrett Setup Algorithm}{section.6.2} -\BOOKMARK [1][-]{section.6.3}{The Montgomery Reduction}{chapter.6} -\BOOKMARK [2][-]{subsection.6.3.1}{Digit Based Montgomery Reduction}{section.6.3} -\BOOKMARK [2][-]{subsection.6.3.2}{Baseline Montgomery Reduction}{section.6.3} -\BOOKMARK [2][-]{subsection.6.3.3}{Faster ``Comba'' Montgomery Reduction}{section.6.3} -\BOOKMARK [2][-]{subsection.6.3.4}{Montgomery Setup}{section.6.3} -\BOOKMARK [1][-]{section.6.4}{The Diminished Radix Algorithm}{chapter.6} -\BOOKMARK [2][-]{subsection.6.4.1}{Choice of Moduli}{section.6.4} -\BOOKMARK [2][-]{subsection.6.4.2}{Choice of k}{section.6.4} -\BOOKMARK [2][-]{subsection.6.4.3}{Restricted Diminished Radix Reduction}{section.6.4} -\BOOKMARK [2][-]{subsection.6.4.4}{Unrestricted Diminished Radix Reduction}{section.6.4} -\BOOKMARK [1][-]{section.6.5}{Algorithm Comparison}{chapter.6} -\BOOKMARK [0][-]{chapter.7}{Exponentiation}{} -\BOOKMARK [1][-]{section.7.1}{Exponentiation Basics}{chapter.7} -\BOOKMARK [2][-]{subsection.7.1.1}{Single Digit Exponentiation}{section.7.1} -\BOOKMARK [1][-]{section.7.2}{k-ary Exponentiation}{chapter.7} -\BOOKMARK [2][-]{subsection.7.2.1}{Optimal Values of k}{section.7.2} -\BOOKMARK [2][-]{subsection.7.2.2}{Sliding-Window Exponentiation}{section.7.2} -\BOOKMARK [1][-]{section.7.3}{Modular Exponentiation}{chapter.7} -\BOOKMARK [2][-]{subsection.7.3.1}{Barrett Modular Exponentiation}{section.7.3} -\BOOKMARK [1][-]{section.7.4}{Quick Power of Two}{chapter.7} -\BOOKMARK [0][-]{chapter.8}{Higher Level Algorithms}{} -\BOOKMARK [1][-]{section.8.1}{Integer Division with Remainder}{chapter.8} -\BOOKMARK [2][-]{subsection.8.1.1}{Quotient Estimation}{section.8.1} -\BOOKMARK [2][-]{subsection.8.1.2}{Normalized Integers}{section.8.1} -\BOOKMARK [2][-]{subsection.8.1.3}{Radix- Division with Remainder}{section.8.1} -\BOOKMARK [1][-]{section.8.2}{Single Digit Helpers}{chapter.8} -\BOOKMARK [2][-]{subsection.8.2.1}{Single Digit Addition and Subtraction}{section.8.2} -\BOOKMARK [2][-]{subsection.8.2.2}{Single Digit Multiplication}{section.8.2} -\BOOKMARK [2][-]{subsection.8.2.3}{Single Digit Division}{section.8.2} -\BOOKMARK [2][-]{subsection.8.2.4}{Single Digit Root Extraction}{section.8.2} -\BOOKMARK [1][-]{section.8.3}{Random Number Generation}{chapter.8} -\BOOKMARK [1][-]{section.8.4}{Formatted Representations}{chapter.8} -\BOOKMARK [2][-]{subsection.8.4.1}{Reading Radix-n Input}{section.8.4} -\BOOKMARK [2][-]{subsection.8.4.2}{Generating Radix-n Output}{section.8.4} -\BOOKMARK [0][-]{chapter.9}{Number Theoretic Algorithms}{} -\BOOKMARK [1][-]{section.9.1}{Greatest Common Divisor}{chapter.9} -\BOOKMARK [2][-]{subsection.9.1.1}{Complete Greatest Common Divisor}{section.9.1} -\BOOKMARK [1][-]{section.9.2}{Least Common Multiple}{chapter.9} -\BOOKMARK [1][-]{section.9.3}{Jacobi Symbol Computation}{chapter.9} -\BOOKMARK [2][-]{subsection.9.3.1}{Jacobi Symbol}{section.9.3} -\BOOKMARK [1][-]{section.9.4}{Modular Inverse}{chapter.9} -\BOOKMARK [2][-]{subsection.9.4.1}{General Case}{section.9.4} -\BOOKMARK [1][-]{section.9.5}{Primality Tests}{chapter.9} -\BOOKMARK [2][-]{subsection.9.5.1}{Trial Division}{section.9.5} -\BOOKMARK [2][-]{subsection.9.5.2}{The Fermat Test}{section.9.5} -\BOOKMARK [2][-]{subsection.9.5.3}{The Miller-Rabin Test}{section.9.5} +\BOOKMARK [0][-]{chapter.1}{Introduction}{}% 1 +\BOOKMARK [1][-]{section.1.1}{Multiple Precision Arithmetic}{chapter.1}% 2 +\BOOKMARK [2][-]{subsection.1.1.1}{What is Multiple Precision Arithmetic?}{section.1.1}% 3 +\BOOKMARK [2][-]{subsection.1.1.2}{The Need for Multiple Precision Arithmetic}{section.1.1}% 4 +\BOOKMARK [2][-]{subsection.1.1.3}{Benefits of Multiple Precision Arithmetic}{section.1.1}% 5 +\BOOKMARK [1][-]{section.1.2}{Purpose of This Text}{chapter.1}% 6 +\BOOKMARK [1][-]{section.1.3}{Discussion and Notation}{chapter.1}% 7 +\BOOKMARK [2][-]{subsection.1.3.1}{Notation}{section.1.3}% 8 +\BOOKMARK [2][-]{subsection.1.3.2}{Precision Notation}{section.1.3}% 9 +\BOOKMARK [2][-]{subsection.1.3.3}{Algorithm Inputs and Outputs}{section.1.3}% 10 +\BOOKMARK [2][-]{subsection.1.3.4}{Mathematical Expressions}{section.1.3}% 11 +\BOOKMARK [2][-]{subsection.1.3.5}{Work Effort}{section.1.3}% 12 +\BOOKMARK [1][-]{section.1.4}{Exercises}{chapter.1}% 13 +\BOOKMARK [1][-]{section.1.5}{Introduction to LibTomMath}{chapter.1}% 14 +\BOOKMARK [2][-]{subsection.1.5.1}{What is LibTomMath?}{section.1.5}% 15 +\BOOKMARK [2][-]{subsection.1.5.2}{Goals of LibTomMath}{section.1.5}% 16 +\BOOKMARK [1][-]{section.1.6}{Choice of LibTomMath}{chapter.1}% 17 +\BOOKMARK [2][-]{subsection.1.6.1}{Code Base}{section.1.6}% 18 +\BOOKMARK [2][-]{subsection.1.6.2}{API Simplicity}{section.1.6}% 19 +\BOOKMARK [2][-]{subsection.1.6.3}{Optimizations}{section.1.6}% 20 +\BOOKMARK [2][-]{subsection.1.6.4}{Portability and Stability}{section.1.6}% 21 +\BOOKMARK [2][-]{subsection.1.6.5}{Choice}{section.1.6}% 22 +\BOOKMARK [0][-]{chapter.2}{Getting Started}{}% 23 +\BOOKMARK [1][-]{section.2.1}{Library Basics}{chapter.2}% 24 +\BOOKMARK [1][-]{section.2.2}{What is a Multiple Precision Integer?}{chapter.2}% 25 +\BOOKMARK [2][-]{subsection.2.2.1}{The mp\137int Structure}{section.2.2}% 26 +\BOOKMARK [1][-]{section.2.3}{Argument Passing}{chapter.2}% 27 +\BOOKMARK [1][-]{section.2.4}{Return Values}{chapter.2}% 28 +\BOOKMARK [1][-]{section.2.5}{Initialization and Clearing}{chapter.2}% 29 +\BOOKMARK [2][-]{subsection.2.5.1}{Initializing an mp\137int}{section.2.5}% 30 +\BOOKMARK [2][-]{subsection.2.5.2}{Clearing an mp\137int}{section.2.5}% 31 +\BOOKMARK [1][-]{section.2.6}{Maintenance Algorithms}{chapter.2}% 32 +\BOOKMARK [2][-]{subsection.2.6.1}{Augmenting an mp\137int's Precision}{section.2.6}% 33 +\BOOKMARK [2][-]{subsection.2.6.2}{Initializing Variable Precision mp\137ints}{section.2.6}% 34 +\BOOKMARK [2][-]{subsection.2.6.3}{Multiple Integer Initializations and Clearings}{section.2.6}% 35 +\BOOKMARK [2][-]{subsection.2.6.4}{Clamping Excess Digits}{section.2.6}% 36 +\BOOKMARK [0][-]{chapter.3}{Basic Operations}{}% 37 +\BOOKMARK [1][-]{section.3.1}{Introduction}{chapter.3}% 38 +\BOOKMARK [1][-]{section.3.2}{Assigning Values to mp\137int Structures}{chapter.3}% 39 +\BOOKMARK [2][-]{subsection.3.2.1}{Copying an mp\137int}{section.3.2}% 40 +\BOOKMARK [2][-]{subsection.3.2.2}{Creating a Clone}{section.3.2}% 41 +\BOOKMARK [1][-]{section.3.3}{Zeroing an Integer}{chapter.3}% 42 +\BOOKMARK [1][-]{section.3.4}{Sign Manipulation}{chapter.3}% 43 +\BOOKMARK [2][-]{subsection.3.4.1}{Absolute Value}{section.3.4}% 44 +\BOOKMARK [2][-]{subsection.3.4.2}{Integer Negation}{section.3.4}% 45 +\BOOKMARK [1][-]{section.3.5}{Small Constants}{chapter.3}% 46 +\BOOKMARK [2][-]{subsection.3.5.1}{Setting Small Constants}{section.3.5}% 47 +\BOOKMARK [2][-]{subsection.3.5.2}{Setting Large Constants}{section.3.5}% 48 +\BOOKMARK [1][-]{section.3.6}{Comparisons}{chapter.3}% 49 +\BOOKMARK [2][-]{subsection.3.6.1}{Unsigned Comparisions}{section.3.6}% 50 +\BOOKMARK [2][-]{subsection.3.6.2}{Signed Comparisons}{section.3.6}% 51 +\BOOKMARK [0][-]{chapter.4}{Basic Arithmetic}{}% 52 +\BOOKMARK [1][-]{section.4.1}{Introduction}{chapter.4}% 53 +\BOOKMARK [1][-]{section.4.2}{Addition and Subtraction}{chapter.4}% 54 +\BOOKMARK [2][-]{subsection.4.2.1}{Low Level Addition}{section.4.2}% 55 +\BOOKMARK [2][-]{subsection.4.2.2}{Low Level Subtraction}{section.4.2}% 56 +\BOOKMARK [2][-]{subsection.4.2.3}{High Level Addition}{section.4.2}% 57 +\BOOKMARK [2][-]{subsection.4.2.4}{High Level Subtraction}{section.4.2}% 58 +\BOOKMARK [1][-]{section.4.3}{Bit and Digit Shifting}{chapter.4}% 59 +\BOOKMARK [2][-]{subsection.4.3.1}{Multiplication by Two}{section.4.3}% 60 +\BOOKMARK [2][-]{subsection.4.3.2}{Division by Two}{section.4.3}% 61 +\BOOKMARK [1][-]{section.4.4}{Polynomial Basis Operations}{chapter.4}% 62 +\BOOKMARK [2][-]{subsection.4.4.1}{Multiplication by x}{section.4.4}% 63 +\BOOKMARK [2][-]{subsection.4.4.2}{Division by x}{section.4.4}% 64 +\BOOKMARK [1][-]{section.4.5}{Powers of Two}{chapter.4}% 65 +\BOOKMARK [2][-]{subsection.4.5.1}{Multiplication by Power of Two}{section.4.5}% 66 +\BOOKMARK [2][-]{subsection.4.5.2}{Division by Power of Two}{section.4.5}% 67 +\BOOKMARK [2][-]{subsection.4.5.3}{Remainder of Division by Power of Two}{section.4.5}% 68 +\BOOKMARK [0][-]{chapter.5}{Multiplication and Squaring}{}% 69 +\BOOKMARK [1][-]{section.5.1}{The Multipliers}{chapter.5}% 70 +\BOOKMARK [1][-]{section.5.2}{Multiplication}{chapter.5}% 71 +\BOOKMARK [2][-]{subsection.5.2.1}{The Baseline Multiplication}{section.5.2}% 72 +\BOOKMARK [2][-]{subsection.5.2.2}{Faster Multiplication by the ``Comba'' Method}{section.5.2}% 73 +\BOOKMARK [2][-]{subsection.5.2.3}{Polynomial Basis Multiplication}{section.5.2}% 74 +\BOOKMARK [2][-]{subsection.5.2.4}{Karatsuba Multiplication}{section.5.2}% 75 +\BOOKMARK [2][-]{subsection.5.2.5}{Toom-Cook 3-Way Multiplication}{section.5.2}% 76 +\BOOKMARK [2][-]{subsection.5.2.6}{Signed Multiplication}{section.5.2}% 77 +\BOOKMARK [1][-]{section.5.3}{Squaring}{chapter.5}% 78 +\BOOKMARK [2][-]{subsection.5.3.1}{The Baseline Squaring Algorithm}{section.5.3}% 79 +\BOOKMARK [2][-]{subsection.5.3.2}{Faster Squaring by the ``Comba'' Method}{section.5.3}% 80 +\BOOKMARK [2][-]{subsection.5.3.3}{Polynomial Basis Squaring}{section.5.3}% 81 +\BOOKMARK [2][-]{subsection.5.3.4}{Karatsuba Squaring}{section.5.3}% 82 +\BOOKMARK [2][-]{subsection.5.3.5}{Toom-Cook Squaring}{section.5.3}% 83 +\BOOKMARK [2][-]{subsection.5.3.6}{High Level Squaring}{section.5.3}% 84 +\BOOKMARK [0][-]{chapter.6}{Modular Reduction}{}% 85 +\BOOKMARK [1][-]{section.6.1}{Basics of Modular Reduction}{chapter.6}% 86 +\BOOKMARK [1][-]{section.6.2}{The Barrett Reduction}{chapter.6}% 87 +\BOOKMARK [2][-]{subsection.6.2.1}{Fixed Point Arithmetic}{section.6.2}% 88 +\BOOKMARK [2][-]{subsection.6.2.2}{Choosing a Radix Point}{section.6.2}% 89 +\BOOKMARK [2][-]{subsection.6.2.3}{Trimming the Quotient}{section.6.2}% 90 +\BOOKMARK [2][-]{subsection.6.2.4}{Trimming the Residue}{section.6.2}% 91 +\BOOKMARK [2][-]{subsection.6.2.5}{The Barrett Algorithm}{section.6.2}% 92 +\BOOKMARK [2][-]{subsection.6.2.6}{The Barrett Setup Algorithm}{section.6.2}% 93 +\BOOKMARK [1][-]{section.6.3}{The Montgomery Reduction}{chapter.6}% 94 +\BOOKMARK [2][-]{subsection.6.3.1}{Digit Based Montgomery Reduction}{section.6.3}% 95 +\BOOKMARK [2][-]{subsection.6.3.2}{Baseline Montgomery Reduction}{section.6.3}% 96 +\BOOKMARK [2][-]{subsection.6.3.3}{Faster ``Comba'' Montgomery Reduction}{section.6.3}% 97 +\BOOKMARK [2][-]{subsection.6.3.4}{Montgomery Setup}{section.6.3}% 98 +\BOOKMARK [1][-]{section.6.4}{The Diminished Radix Algorithm}{chapter.6}% 99 +\BOOKMARK [2][-]{subsection.6.4.1}{Choice of Moduli}{section.6.4}% 100 +\BOOKMARK [2][-]{subsection.6.4.2}{Choice of k}{section.6.4}% 101 +\BOOKMARK [2][-]{subsection.6.4.3}{Restricted Diminished Radix Reduction}{section.6.4}% 102 +\BOOKMARK [2][-]{subsection.6.4.4}{Unrestricted Diminished Radix Reduction}{section.6.4}% 103 +\BOOKMARK [1][-]{section.6.5}{Algorithm Comparison}{chapter.6}% 104 +\BOOKMARK [0][-]{chapter.7}{Exponentiation}{}% 105 +\BOOKMARK [1][-]{section.7.1}{Exponentiation Basics}{chapter.7}% 106 +\BOOKMARK [2][-]{subsection.7.1.1}{Single Digit Exponentiation}{section.7.1}% 107 +\BOOKMARK [1][-]{section.7.2}{k-ary Exponentiation}{chapter.7}% 108 +\BOOKMARK [2][-]{subsection.7.2.1}{Optimal Values of k}{section.7.2}% 109 +\BOOKMARK [2][-]{subsection.7.2.2}{Sliding-Window Exponentiation}{section.7.2}% 110 +\BOOKMARK [1][-]{section.7.3}{Modular Exponentiation}{chapter.7}% 111 +\BOOKMARK [2][-]{subsection.7.3.1}{Barrett Modular Exponentiation}{section.7.3}% 112 +\BOOKMARK [1][-]{section.7.4}{Quick Power of Two}{chapter.7}% 113 +\BOOKMARK [0][-]{chapter.8}{Higher Level Algorithms}{}% 114 +\BOOKMARK [1][-]{section.8.1}{Integer Division with Remainder}{chapter.8}% 115 +\BOOKMARK [2][-]{subsection.8.1.1}{Quotient Estimation}{section.8.1}% 116 +\BOOKMARK [2][-]{subsection.8.1.2}{Normalized Integers}{section.8.1}% 117 +\BOOKMARK [2][-]{subsection.8.1.3}{Radix- Division with Remainder}{section.8.1}% 118 +\BOOKMARK [1][-]{section.8.2}{Single Digit Helpers}{chapter.8}% 119 +\BOOKMARK [2][-]{subsection.8.2.1}{Single Digit Addition and Subtraction}{section.8.2}% 120 +\BOOKMARK [2][-]{subsection.8.2.2}{Single Digit Multiplication}{section.8.2}% 121 +\BOOKMARK [2][-]{subsection.8.2.3}{Single Digit Division}{section.8.2}% 122 +\BOOKMARK [2][-]{subsection.8.2.4}{Single Digit Root Extraction}{section.8.2}% 123 +\BOOKMARK [1][-]{section.8.3}{Random Number Generation}{chapter.8}% 124 +\BOOKMARK [1][-]{section.8.4}{Formatted Representations}{chapter.8}% 125 +\BOOKMARK [2][-]{subsection.8.4.1}{Reading Radix-n Input}{section.8.4}% 126 +\BOOKMARK [2][-]{subsection.8.4.2}{Generating Radix-n Output}{section.8.4}% 127 +\BOOKMARK [0][-]{chapter.9}{Number Theoretic Algorithms}{}% 128 +\BOOKMARK [1][-]{section.9.1}{Greatest Common Divisor}{chapter.9}% 129 +\BOOKMARK [2][-]{subsection.9.1.1}{Complete Greatest Common Divisor}{section.9.1}% 130 +\BOOKMARK [1][-]{section.9.2}{Least Common Multiple}{chapter.9}% 131 +\BOOKMARK [1][-]{section.9.3}{Jacobi Symbol Computation}{chapter.9}% 132 +\BOOKMARK [2][-]{subsection.9.3.1}{Jacobi Symbol}{section.9.3}% 133 +\BOOKMARK [1][-]{section.9.4}{Modular Inverse}{chapter.9}% 134 +\BOOKMARK [2][-]{subsection.9.4.1}{General Case}{section.9.4}% 135 +\BOOKMARK [1][-]{section.9.5}{Primality Tests}{chapter.9}% 136 +\BOOKMARK [2][-]{subsection.9.5.1}{Trial Division}{section.9.5}% 137 +\BOOKMARK [2][-]{subsection.9.5.2}{The Fermat Test}{section.9.5}% 138 +\BOOKMARK [2][-]{subsection.9.5.3}{The Miller-Rabin Test}{section.9.5}% 139 diff --git a/libtommath/tommath.pdf b/libtommath/tommath.pdf index 0b68941..6a6787e 100644 Binary files a/libtommath/tommath.pdf and b/libtommath/tommath.pdf differ diff --git a/libtommath/tommath.src b/libtommath/tommath.src index 4065822..768ed10 100644 --- a/libtommath/tommath.src +++ b/libtommath/tommath.src @@ -66,31 +66,20 @@ QUALCOMM Australia \\ } } \maketitle -This text has been placed in the public domain. This text corresponds to the v0.39 release of the +This text has been placed in the public domain. This text corresponds to the v0.39 release of the LibTomMath project. -\begin{alltt} -Tom St Denis -111 Banning Rd -Ottawa, Ontario -K2L 1C3 -Canada - -Phone: 1-613-836-3160 -Email: tomstdenis@gmail.com -\end{alltt} - -This text is formatted to the international B5 paper size of 176mm wide by 250mm tall using the \LaTeX{} +This text is formatted to the international B5 paper size of 176mm wide by 250mm tall using the \LaTeX{} {\em book} macro package and the Perl {\em booker} package. \tableofcontents \listoffigures \chapter*{Prefaces} -When I tell people about my LibTom projects and that I release them as public domain they are often puzzled. -They ask why I did it and especially why I continue to work on them for free. The best I can explain it is ``Because I can.'' -Which seems odd and perhaps too terse for adult conversation. I often qualify it with ``I am able, I am willing.'' which +When I tell people about my LibTom projects and that I release them as public domain they are often puzzled. +They ask why I did it and especially why I continue to work on them for free. The best I can explain it is ``Because I can.'' +Which seems odd and perhaps too terse for adult conversation. I often qualify it with ``I am able, I am willing.'' which perhaps explains it better. I am the first to admit there is not anything that special with what I have done. Perhaps -others can see that too and then we would have a society to be proud of. My LibTom projects are what I am doing to give +others can see that too and then we would have a society to be proud of. My LibTom projects are what I am doing to give back to society in the form of tools and knowledge that can help others in their endeavours. I started writing this book because it was the most logical task to further my goal of open academia. The LibTomMath source @@ -103,9 +92,9 @@ from relatively straightforward algebra and I hope that this book can be a valua This book and indeed much of the LibTom projects would not exist in their current form if it was not for a plethora of kind people donating their time, resources and kind words to help support my work. Writing a text of significant length (along with the source code) is a tiresome and lengthy process. Currently the LibTom project is four years old, -comprises of literally thousands of users and over 100,000 lines of source code, TeX and other material. People like Mads and Greg -were there at the beginning to encourage me to work well. It is amazing how timely validation from others can boost morale to -continue the project. Definitely my parents were there for me by providing room and board during the many months of work in 2003. +comprises of literally thousands of users and over 100,000 lines of source code, TeX and other material. People like Mads and Greg +were there at the beginning to encourage me to work well. It is amazing how timely validation from others can boost morale to +continue the project. Definitely my parents were there for me by providing room and board during the many months of work in 2003. To my many friends whom I have met through the years I thank you for the good times and the words of encouragement. I hope I honour your kind gestures with this project. @@ -115,22 +104,22 @@ Open Source. Open Academia. Open Minds. \begin{flushright} Tom St Denis \end{flushright} \newpage -I found the opportunity to work with Tom appealing for several reasons, not only could I broaden my own horizons, but also +I found the opportunity to work with Tom appealing for several reasons, not only could I broaden my own horizons, but also contribute to educate others facing the problem of having to handle big number mathematical calculations. -This book is Tom's child and he has been caring and fostering the project ever since the beginning with a clear mind of -how he wanted the project to turn out. I have helped by proofreading the text and we have had several discussions about +This book is Tom's child and he has been caring and fostering the project ever since the beginning with a clear mind of +how he wanted the project to turn out. I have helped by proofreading the text and we have had several discussions about the layout and language used. -I hold a masters degree in cryptography from the University of Southern Denmark and have always been interested in the -practical aspects of cryptography. +I hold a masters degree in cryptography from the University of Southern Denmark and have always been interested in the +practical aspects of cryptography. -Having worked in the security consultancy business for several years in S\~{a}o Paulo, Brazil, I have been in touch with a -great deal of work in which multiple precision mathematics was needed. Understanding the possibilities for speeding up -multiple precision calculations is often very important since we deal with outdated machine architecture where modular +Having worked in the security consultancy business for several years in S\~{a}o Paulo, Brazil, I have been in touch with a +great deal of work in which multiple precision mathematics was needed. Understanding the possibilities for speeding up +multiple precision calculations is often very important since we deal with outdated machine architecture where modular reductions, for example, become painfully slow. -This text is for people who stop and wonder when first examining algorithms such as RSA for the first time and asks +This text is for people who stop and wonder when first examining algorithms such as RSA for the first time and asks themselves, ``You tell me this is only secure for large numbers, fine; but how do you implement these numbers?'' \begin{flushright} @@ -142,22 +131,22 @@ Brazil \end{flushright} \newpage -It's all because I broke my leg. That just happened to be at about the same time that Tom asked for someone to review the section of the book about -Karatsuba multiplication. I was laid up, alone and immobile, and thought ``Why not?'' I vaguely knew what Karatsuba multiplication was, but not +It's all because I broke my leg. That just happened to be at about the same time that Tom asked for someone to review the section of the book about +Karatsuba multiplication. I was laid up, alone and immobile, and thought ``Why not?'' I vaguely knew what Karatsuba multiplication was, but not really, so I thought I could help, learn, and stop myself from watching daytime cable TV, all at once. -At the time of writing this, I've still not met Tom or Mads in meatspace. I've been following Tom's progress since his first splash on the +At the time of writing this, I've still not met Tom or Mads in meatspace. I've been following Tom's progress since his first splash on the sci.crypt Usenet news group. I watched him go from a clueless newbie, to the cryptographic equivalent of a reformed smoker, to a real -contributor to the field, over a period of about two years. I've been impressed with his obvious intelligence, and astounded by his productivity. +contributor to the field, over a period of about two years. I've been impressed with his obvious intelligence, and astounded by his productivity. Of course, he's young enough to be my own child, so he doesn't have my problems with staying awake. -When I reviewed that single section of the book, in its very earliest form, I was very pleasantly surprised. So I decided to collaborate more fully, -and at least review all of it, and perhaps write some bits too. There's still a long way to go with it, and I have watched a number of close -friends go through the mill of publication, so I think that the way to go is longer than Tom thinks it is. Nevertheless, it's a good effort, +When I reviewed that single section of the book, in its very earliest form, I was very pleasantly surprised. So I decided to collaborate more fully, +and at least review all of it, and perhaps write some bits too. There's still a long way to go with it, and I have watched a number of close +friends go through the mill of publication, so I think that the way to go is longer than Tom thinks it is. Nevertheless, it's a good effort, and I'm pleased to be involved with it. \begin{flushright} -Greg Rose, Sydney, Australia, June 2003. +Greg Rose, Sydney, Australia, June 2003. \end{flushright} \mainmatter @@ -167,23 +156,23 @@ Greg Rose, Sydney, Australia, June 2003. \subsection{What is Multiple Precision Arithmetic?} When we think of long-hand arithmetic such as addition or multiplication we rarely consider the fact that we instinctively -raise or lower the precision of the numbers we are dealing with. For example, in decimal we almost immediate can -reason that $7$ times $6$ is $42$. However, $42$ has two digits of precision as opposed to one digit we started with. -Further multiplications of say $3$ result in a larger precision result $126$. In these few examples we have multiple +raise or lower the precision of the numbers we are dealing with. For example, in decimal we almost immediate can +reason that $7$ times $6$ is $42$. However, $42$ has two digits of precision as opposed to one digit we started with. +Further multiplications of say $3$ result in a larger precision result $126$. In these few examples we have multiple precisions for the numbers we are working with. Despite the various levels of precision a single subset\footnote{With the occasional optimization.} - of algorithms can be designed to accomodate them. + of algorithms can be designed to accomodate them. By way of comparison a fixed or single precision operation would lose precision on various operations. For example, in the decimal system with fixed precision $6 \cdot 7 = 2$. Essentially at the heart of computer based multiple precision arithmetic are the same long-hand algorithms taught in -schools to manually add, subtract, multiply and divide. +schools to manually add, subtract, multiply and divide. \subsection{The Need for Multiple Precision Arithmetic} The most prevalent need for multiple precision arithmetic, often referred to as ``bignum'' math, is within the implementation -of public-key cryptography algorithms. Algorithms such as RSA \cite{RSAREF} and Diffie-Hellman \cite{DHREF} require -integers of significant magnitude to resist known cryptanalytic attacks. For example, at the time of this writing a -typical RSA modulus would be at least greater than $10^{309}$. However, modern programming languages such as ISO C \cite{ISOC} and +of public-key cryptography algorithms. Algorithms such as RSA \cite{RSAREF} and Diffie-Hellman \cite{DHREF} require +integers of significant magnitude to resist known cryptanalytic attacks. For example, at the time of this writing a +typical RSA modulus would be at least greater than $10^{309}$. However, modern programming languages such as ISO C \cite{ISOC} and Java \cite{JAVA} only provide instrinsic support for integers which are relatively small and single precision. \begin{figure}[!here] @@ -201,27 +190,27 @@ Java \cite{JAVA} only provide instrinsic support for integers which are relative \label{fig:ISOC} \end{figure} -The largest data type guaranteed to be provided by the ISO C programming -language\footnote{As per the ISO C standard. However, each compiler vendor is allowed to augment the precision as they -see fit.} can only represent values up to $10^{19}$ as shown in figure \ref{fig:ISOC}. On its own the C language is -insufficient to accomodate the magnitude required for the problem at hand. An RSA modulus of magnitude $10^{19}$ could be -trivially factored\footnote{A Pollard-Rho factoring would take only $2^{16}$ time.} on the average desktop computer, -rendering any protocol based on the algorithm insecure. Multiple precision algorithms solve this very problem by +The largest data type guaranteed to be provided by the ISO C programming +language\footnote{As per the ISO C standard. However, each compiler vendor is allowed to augment the precision as they +see fit.} can only represent values up to $10^{19}$ as shown in figure \ref{fig:ISOC}. On its own the C language is +insufficient to accomodate the magnitude required for the problem at hand. An RSA modulus of magnitude $10^{19}$ could be +trivially factored\footnote{A Pollard-Rho factoring would take only $2^{16}$ time.} on the average desktop computer, +rendering any protocol based on the algorithm insecure. Multiple precision algorithms solve this very problem by extending the range of representable integers while using single precision data types. -Most advancements in fast multiple precision arithmetic stem from the need for faster and more efficient cryptographic -primitives. Faster modular reduction and exponentiation algorithms such as Barrett's algorithm, which have appeared in -various cryptographic journals, can render algorithms such as RSA and Diffie-Hellman more efficient. In fact, several -major companies such as RSA Security, Certicom and Entrust have built entire product lines on the implementation and +Most advancements in fast multiple precision arithmetic stem from the need for faster and more efficient cryptographic +primitives. Faster modular reduction and exponentiation algorithms such as Barrett's algorithm, which have appeared in +various cryptographic journals, can render algorithms such as RSA and Diffie-Hellman more efficient. In fact, several +major companies such as RSA Security, Certicom and Entrust have built entire product lines on the implementation and deployment of efficient algorithms. -However, cryptography is not the only field of study that can benefit from fast multiple precision integer routines. -Another auxiliary use of multiple precision integers is high precision floating point data types. -The basic IEEE \cite{IEEE} standard floating point type is made up of an integer mantissa $q$, an exponent $e$ and a sign bit $s$. -Numbers are given in the form $n = q \cdot b^e \cdot -1^s$ where $b = 2$ is the most common base for IEEE. Since IEEE -floating point is meant to be implemented in hardware the precision of the mantissa is often fairly small +However, cryptography is not the only field of study that can benefit from fast multiple precision integer routines. +Another auxiliary use of multiple precision integers is high precision floating point data types. +The basic IEEE \cite{IEEE} standard floating point type is made up of an integer mantissa $q$, an exponent $e$ and a sign bit $s$. +Numbers are given in the form $n = q \cdot b^e \cdot -1^s$ where $b = 2$ is the most common base for IEEE. Since IEEE +floating point is meant to be implemented in hardware the precision of the mantissa is often fairly small (\textit{23, 48 and 64 bits}). The mantissa is merely an integer and a multiple precision integer could be used to create -a mantissa of much larger precision than hardware alone can efficiently support. This approach could be useful where +a mantissa of much larger precision than hardware alone can efficiently support. This approach could be useful where scientific applications must minimize the total output error over long calculations. Yet another use for large integers is within arithmetic on polynomials of large characteristic (i.e. $GF(p)[x]$ for large $p$). @@ -229,152 +218,152 @@ In fact the library discussed within this text has already been used to form a p \subsection{Benefits of Multiple Precision Arithmetic} \index{precision} -The benefit of multiple precision representations over single or fixed precision representations is that -no precision is lost while representing the result of an operation which requires excess precision. For example, -the product of two $n$-bit integers requires at least $2n$ bits of precision to be represented faithfully. A multiple -precision algorithm would augment the precision of the destination to accomodate the result while a single precision system +The benefit of multiple precision representations over single or fixed precision representations is that +no precision is lost while representing the result of an operation which requires excess precision. For example, +the product of two $n$-bit integers requires at least $2n$ bits of precision to be represented faithfully. A multiple +precision algorithm would augment the precision of the destination to accomodate the result while a single precision system would truncate excess bits to maintain a fixed level of precision. It is possible to implement algorithms which require large integers with fixed precision algorithms. For example, elliptic -curve cryptography (\textit{ECC}) is often implemented on smartcards by fixing the precision of the integers to the maximum -size the system will ever need. Such an approach can lead to vastly simpler algorithms which can accomodate the -integers required even if the host platform cannot natively accomodate them\footnote{For example, the average smartcard +curve cryptography (\textit{ECC}) is often implemented on smartcards by fixing the precision of the integers to the maximum +size the system will ever need. Such an approach can lead to vastly simpler algorithms which can accomodate the +integers required even if the host platform cannot natively accomodate them\footnote{For example, the average smartcard processor has an 8 bit accumulator.}. However, as efficient as such an approach may be, the resulting source code is not normally very flexible. It cannot, at runtime, accomodate inputs of higher magnitude than the designer anticipated. -Multiple precision algorithms have the most overhead of any style of arithmetic. For the the most part the +Multiple precision algorithms have the most overhead of any style of arithmetic. For the the most part the overhead can be kept to a minimum with careful planning, but overall, it is not well suited for most memory starved -platforms. However, multiple precision algorithms do offer the most flexibility in terms of the magnitude of the -inputs. That is, the same algorithms based on multiple precision integers can accomodate any reasonable size input -without the designer's explicit forethought. This leads to lower cost of ownership for the code as it only has to +platforms. However, multiple precision algorithms do offer the most flexibility in terms of the magnitude of the +inputs. That is, the same algorithms based on multiple precision integers can accomodate any reasonable size input +without the designer's explicit forethought. This leads to lower cost of ownership for the code as it only has to be written and tested once. \section{Purpose of This Text} -The purpose of this text is to instruct the reader regarding how to implement efficient multiple precision algorithms. -That is to not only explain a limited subset of the core theory behind the algorithms but also the various ``house keeping'' -elements that are neglected by authors of other texts on the subject. Several well reknowned texts \cite{TAOCPV2,HAC} -give considerably detailed explanations of the theoretical aspects of algorithms and often very little information -regarding the practical implementation aspects. - -In most cases how an algorithm is explained and how it is actually implemented are two very different concepts. For -example, the Handbook of Applied Cryptography (\textit{HAC}), algorithm 14.7 on page 594, gives a relatively simple -algorithm for performing multiple precision integer addition. However, the description lacks any discussion concerning +The purpose of this text is to instruct the reader regarding how to implement efficient multiple precision algorithms. +That is to not only explain a limited subset of the core theory behind the algorithms but also the various ``house keeping'' +elements that are neglected by authors of other texts on the subject. Several well reknowned texts \cite{TAOCPV2,HAC} +give considerably detailed explanations of the theoretical aspects of algorithms and often very little information +regarding the practical implementation aspects. + +In most cases how an algorithm is explained and how it is actually implemented are two very different concepts. For +example, the Handbook of Applied Cryptography (\textit{HAC}), algorithm 14.7 on page 594, gives a relatively simple +algorithm for performing multiple precision integer addition. However, the description lacks any discussion concerning the fact that the two integer inputs may be of differing magnitudes. As a result the implementation is not as simple -as the text would lead people to believe. Similarly the division routine (\textit{algorithm 14.20, pp. 598}) does not +as the text would lead people to believe. Similarly the division routine (\textit{algorithm 14.20, pp. 598}) does not discuss how to handle sign or handle the dividend's decreasing magnitude in the main loop (\textit{step \#3}). -Both texts also do not discuss several key optimal algorithms required such as ``Comba'' and Karatsuba multipliers -and fast modular inversion, which we consider practical oversights. These optimal algorithms are vital to achieve -any form of useful performance in non-trivial applications. +Both texts also do not discuss several key optimal algorithms required such as ``Comba'' and Karatsuba multipliers +and fast modular inversion, which we consider practical oversights. These optimal algorithms are vital to achieve +any form of useful performance in non-trivial applications. To solve this problem the focus of this text is on the practical aspects of implementing a multiple precision integer -package. As a case study the ``LibTomMath''\footnote{Available at \url{http://math.libtomcrypt.com}} package is used -to demonstrate algorithms with real implementations\footnote{In the ISO C programming language.} that have been field -tested and work very well. The LibTomMath library is freely available on the Internet for all uses and this text +package. As a case study the ``LibTomMath''\footnote{Available at \url{http://math.libtomcrypt.com}} package is used +to demonstrate algorithms with real implementations\footnote{In the ISO C programming language.} that have been field +tested and work very well. The LibTomMath library is freely available on the Internet for all uses and this text discusses a very large portion of the inner workings of the library. -The algorithms that are presented will always include at least one ``pseudo-code'' description followed -by the actual C source code that implements the algorithm. The pseudo-code can be used to implement the same -algorithm in other programming languages as the reader sees fit. +The algorithms that are presented will always include at least one ``pseudo-code'' description followed +by the actual C source code that implements the algorithm. The pseudo-code can be used to implement the same +algorithm in other programming languages as the reader sees fit. This text shall also serve as a walkthrough of the creation of multiple precision algorithms from scratch. Showing -the reader how the algorithms fit together as well as where to start on various taskings. +the reader how the algorithms fit together as well as where to start on various taskings. \section{Discussion and Notation} \subsection{Notation} A multiple precision integer of $n$-digits shall be denoted as $x = (x_{n-1}, \ldots, x_1, x_0)_{ \beta }$ and represent -the integer $x \equiv \sum_{i=0}^{n-1} x_i\beta^i$. The elements of the array $x$ are said to be the radix $\beta$ digits -of the integer. For example, $x = (1,2,3)_{10}$ would represent the integer -$1\cdot 10^2 + 2\cdot10^1 + 3\cdot10^0 = 123$. +the integer $x \equiv \sum_{i=0}^{n-1} x_i\beta^i$. The elements of the array $x$ are said to be the radix $\beta$ digits +of the integer. For example, $x = (1,2,3)_{10}$ would represent the integer +$1\cdot 10^2 + 2\cdot10^1 + 3\cdot10^0 = 123$. \index{mp\_int} -The term ``mp\_int'' shall refer to a composite structure which contains the digits of the integer it represents, as well -as auxilary data required to manipulate the data. These additional members are discussed further in section -\ref{sec:MPINT}. For the purposes of this text a ``multiple precision integer'' and an ``mp\_int'' are assumed to be -synonymous. When an algorithm is specified to accept an mp\_int variable it is assumed the various auxliary data members -are present as well. An expression of the type \textit{variablename.item} implies that it should evaluate to the -member named ``item'' of the variable. For example, a string of characters may have a member ``length'' which would -evaluate to the number of characters in the string. If the string $a$ equals ``hello'' then it follows that -$a.length = 5$. +The term ``mp\_int'' shall refer to a composite structure which contains the digits of the integer it represents, as well +as auxilary data required to manipulate the data. These additional members are discussed further in section +\ref{sec:MPINT}. For the purposes of this text a ``multiple precision integer'' and an ``mp\_int'' are assumed to be +synonymous. When an algorithm is specified to accept an mp\_int variable it is assumed the various auxliary data members +are present as well. An expression of the type \textit{variablename.item} implies that it should evaluate to the +member named ``item'' of the variable. For example, a string of characters may have a member ``length'' which would +evaluate to the number of characters in the string. If the string $a$ equals ``hello'' then it follows that +$a.length = 5$. For certain discussions more generic algorithms are presented to help the reader understand the final algorithm used -to solve a given problem. When an algorithm is described as accepting an integer input it is assumed the input is -a plain integer with no additional multiple-precision members. That is, algorithms that use integers as opposed to -mp\_ints as inputs do not concern themselves with the housekeeping operations required such as memory management. These +to solve a given problem. When an algorithm is described as accepting an integer input it is assumed the input is +a plain integer with no additional multiple-precision members. That is, algorithms that use integers as opposed to +mp\_ints as inputs do not concern themselves with the housekeeping operations required such as memory management. These algorithms will be used to establish the relevant theory which will subsequently be used to describe a multiple -precision algorithm to solve the same problem. +precision algorithm to solve the same problem. \subsection{Precision Notation} -The variable $\beta$ represents the radix of a single digit of a multiple precision integer and -must be of the form $q^p$ for $q, p \in \Z^+$. A single precision variable must be able to represent integers in -the range $0 \le x < q \beta$ while a double precision variable must be able to represent integers in the range -$0 \le x < q \beta^2$. The extra radix-$q$ factor allows additions and subtractions to proceed without truncation of the +The variable $\beta$ represents the radix of a single digit of a multiple precision integer and +must be of the form $q^p$ for $q, p \in \Z^+$. A single precision variable must be able to represent integers in +the range $0 \le x < q \beta$ while a double precision variable must be able to represent integers in the range +$0 \le x < q \beta^2$. The extra radix-$q$ factor allows additions and subtractions to proceed without truncation of the carry. Since all modern computers are binary, it is assumed that $q$ is two. \index{mp\_digit} \index{mp\_word} -Within the source code that will be presented for each algorithm, the data type \textbf{mp\_digit} will represent -a single precision integer type, while, the data type \textbf{mp\_word} will represent a double precision integer type. In -several algorithms (notably the Comba routines) temporary results will be stored in arrays of double precision mp\_words. -For the purposes of this text $x_j$ will refer to the $j$'th digit of a single precision array and $\hat x_j$ will refer to +Within the source code that will be presented for each algorithm, the data type \textbf{mp\_digit} will represent +a single precision integer type, while, the data type \textbf{mp\_word} will represent a double precision integer type. In +several algorithms (notably the Comba routines) temporary results will be stored in arrays of double precision mp\_words. +For the purposes of this text $x_j$ will refer to the $j$'th digit of a single precision array and $\hat x_j$ will refer to the $j$'th digit of a double precision array. Whenever an expression is to be assigned to a double precision -variable it is assumed that all single precision variables are promoted to double precision during the evaluation. +variable it is assumed that all single precision variables are promoted to double precision during the evaluation. Expressions that are assigned to a single precision variable are truncated to fit within the precision of a single precision data type. -For example, if $\beta = 10^2$ a single precision data type may represent a value in the +For example, if $\beta = 10^2$ a single precision data type may represent a value in the range $0 \le x < 10^3$, while a double precision data type may represent a value in the range $0 \le x < 10^5$. Let $a = 23$ and $b = 49$ represent two single precision variables. The single precision product shall be written as $c \leftarrow a \cdot b$ while the double precision product shall be written as $\hat c \leftarrow a \cdot b$. -In this particular case, $\hat c = 1127$ and $c = 127$. The most significant digit of the product would not fit -in a single precision data type and as a result $c \ne \hat c$. +In this particular case, $\hat c = 1127$ and $c = 127$. The most significant digit of the product would not fit +in a single precision data type and as a result $c \ne \hat c$. \subsection{Algorithm Inputs and Outputs} Within the algorithm descriptions all variables are assumed to be scalars of either single or double precision -as indicated. The only exception to this rule is when variables have been indicated to be of type mp\_int. This -distinction is important as scalars are often used as array indicies and various other counters. +as indicated. The only exception to this rule is when variables have been indicated to be of type mp\_int. This +distinction is important as scalars are often used as array indicies and various other counters. \subsection{Mathematical Expressions} -The $\lfloor \mbox{ } \rfloor$ brackets imply an expression truncated to an integer not greater than the expression +The $\lfloor \mbox{ } \rfloor$ brackets imply an expression truncated to an integer not greater than the expression itself. For example, $\lfloor 5.7 \rfloor = 5$. Similarly the $\lceil \mbox{ } \rceil$ brackets imply an expression -rounded to an integer not less than the expression itself. For example, $\lceil 5.1 \rceil = 6$. Typically when -the $/$ division symbol is used the intention is to perform an integer division with truncation. For example, -$5/2 = 2$ which will often be written as $\lfloor 5/2 \rfloor = 2$ for clarity. When an expression is written as a -fraction a real value division is implied, for example ${5 \over 2} = 2.5$. +rounded to an integer not less than the expression itself. For example, $\lceil 5.1 \rceil = 6$. Typically when +the $/$ division symbol is used the intention is to perform an integer division with truncation. For example, +$5/2 = 2$ which will often be written as $\lfloor 5/2 \rfloor = 2$ for clarity. When an expression is written as a +fraction a real value division is implied, for example ${5 \over 2} = 2.5$. The norm of a multiple precision integer, for example $\vert \vert x \vert \vert$, will be used to represent the number of digits in the representation -of the integer. For example, $\vert \vert 123 \vert \vert = 3$ and $\vert \vert 79452 \vert \vert = 5$. +of the integer. For example, $\vert \vert 123 \vert \vert = 3$ and $\vert \vert 79452 \vert \vert = 5$. \subsection{Work Effort} \index{big-Oh} -To measure the efficiency of the specified algorithms, a modified big-Oh notation is used. In this system all -single precision operations are considered to have the same cost\footnote{Except where explicitly noted.}. -That is a single precision addition, multiplication and division are assumed to take the same time to +To measure the efficiency of the specified algorithms, a modified big-Oh notation is used. In this system all +single precision operations are considered to have the same cost\footnote{Except where explicitly noted.}. +That is a single precision addition, multiplication and division are assumed to take the same time to complete. While this is generally not true in practice, it will simplify the discussions considerably. -Some algorithms have slight advantages over others which is why some constants will not be removed in -the notation. For example, a normal baseline multiplication (section \ref{sec:basemult}) requires $O(n^2)$ work while a -baseline squaring (section \ref{sec:basesquare}) requires $O({{n^2 + n}\over 2})$ work. In standard big-Oh notation these -would both be said to be equivalent to $O(n^2)$. However, -in the context of the this text this is not the case as the magnitude of the inputs will typically be rather small. As a +Some algorithms have slight advantages over others which is why some constants will not be removed in +the notation. For example, a normal baseline multiplication (section \ref{sec:basemult}) requires $O(n^2)$ work while a +baseline squaring (section \ref{sec:basesquare}) requires $O({{n^2 + n}\over 2})$ work. In standard big-Oh notation these +would both be said to be equivalent to $O(n^2)$. However, +in the context of the this text this is not the case as the magnitude of the inputs will typically be rather small. As a result small constant factors in the work effort will make an observable difference in algorithm efficiency. -All of the algorithms presented in this text have a polynomial time work level. That is, of the form -$O(n^k)$ for $n, k \in \Z^{+}$. This will help make useful comparisons in terms of the speed of the algorithms and how +All of the algorithms presented in this text have a polynomial time work level. That is, of the form +$O(n^k)$ for $n, k \in \Z^{+}$. This will help make useful comparisons in terms of the speed of the algorithms and how various optimizations will help pay off in the long run. \section{Exercises} Within the more advanced chapters a section will be set aside to give the reader some challenging exercises related to -the discussion at hand. These exercises are not designed to be prize winning problems, but instead to be thought -provoking. Wherever possible the problems are forward minded, stating problems that will be answered in subsequent -chapters. The reader is encouraged to finish the exercises as they appear to get a better understanding of the -subject material. +the discussion at hand. These exercises are not designed to be prize winning problems, but instead to be thought +provoking. Wherever possible the problems are forward minded, stating problems that will be answered in subsequent +chapters. The reader is encouraged to finish the exercises as they appear to get a better understanding of the +subject material. That being said, the problems are designed to affirm knowledge of a particular subject matter. Students in particular are encouraged to verify they can answer the problems correctly before moving on. Similar to the exercises of \cite[pp. ix]{TAOCPV2} these exercises are given a scoring system based on the difficulty of -the problem. However, unlike \cite{TAOCPV2} the problems do not get nearly as hard. The scoring of these -exercises ranges from one (the easiest) to five (the hardest). The following table sumarizes the +the problem. However, unlike \cite{TAOCPV2} the problems do not get nearly as hard. The scoring of these +exercises ranges from one (the easiest) to five (the hardest). The following table sumarizes the scoring system used. \begin{figure}[here] @@ -404,21 +393,21 @@ scoring system used. \end{figure} Problems at the first level are meant to be simple questions that the reader can answer quickly without programming a solution or -devising new theory. These problems are quick tests to see if the material is understood. Problems at the second level +devising new theory. These problems are quick tests to see if the material is understood. Problems at the second level are also designed to be easy but will require a program or algorithm to be implemented to arrive at the answer. These -two levels are essentially entry level questions. +two levels are essentially entry level questions. -Problems at the third level are meant to be a bit more difficult than the first two levels. The answer is often -fairly obvious but arriving at an exacting solution requires some thought and skill. These problems will almost always +Problems at the third level are meant to be a bit more difficult than the first two levels. The answer is often +fairly obvious but arriving at an exacting solution requires some thought and skill. These problems will almost always involve devising a new algorithm or implementing a variation of another algorithm previously presented. Readers who can answer these questions will feel comfortable with the concepts behind the topic at hand. -Problems at the fourth level are meant to be similar to those of the level three questions except they will require -additional research to be completed. The reader will most likely not know the answer right away, nor will the text provide -the exact details of the answer until a subsequent chapter. +Problems at the fourth level are meant to be similar to those of the level three questions except they will require +additional research to be completed. The reader will most likely not know the answer right away, nor will the text provide +the exact details of the answer until a subsequent chapter. -Problems at the fifth level are meant to be the hardest -problems relative to all the other problems in the chapter. People who can correctly answer fifth level problems have a +Problems at the fifth level are meant to be the hardest +problems relative to all the other problems in the chapter. People who can correctly answer fifth level problems have a mastery of the subject matter at hand. Often problems will be tied together. The purpose of this is to start a chain of thought that will be discussed in future chapters. The reader @@ -427,43 +416,43 @@ is encouraged to answer the follow-up problems and try to draw the relevance of \section{Introduction to LibTomMath} \subsection{What is LibTomMath?} -LibTomMath is a free and open source multiple precision integer library written entirely in portable ISO C. By portable it -is meant that the library does not contain any code that is computer platform dependent or otherwise problematic to use on -any given platform. +LibTomMath is a free and open source multiple precision integer library written entirely in portable ISO C. By portable it +is meant that the library does not contain any code that is computer platform dependent or otherwise problematic to use on +any given platform. The library has been successfully tested under numerous operating systems including Unix\footnote{All of these -trademarks belong to their respective rightful owners.}, MacOS, Windows, Linux, PalmOS and on standalone hardware such -as the Gameboy Advance. The library is designed to contain enough functionality to be able to develop applications such +trademarks belong to their respective rightful owners.}, MacOS, Windows, Linux, PalmOS and on standalone hardware such +as the Gameboy Advance. The library is designed to contain enough functionality to be able to develop applications such as public key cryptosystems and still maintain a relatively small footprint. \subsection{Goals of LibTomMath} -Libraries which obtain the most efficiency are rarely written in a high level programming language such as C. However, -even though this library is written entirely in ISO C, considerable care has been taken to optimize the algorithm implementations within the -library. Specifically the code has been written to work well with the GNU C Compiler (\textit{GCC}) on both x86 and ARM -processors. Wherever possible, highly efficient algorithms, such as Karatsuba multiplication, sliding window -exponentiation and Montgomery reduction have been provided to make the library more efficient. +Libraries which obtain the most efficiency are rarely written in a high level programming language such as C. However, +even though this library is written entirely in ISO C, considerable care has been taken to optimize the algorithm implementations within the +library. Specifically the code has been written to work well with the GNU C Compiler (\textit{GCC}) on both x86 and ARM +processors. Wherever possible, highly efficient algorithms, such as Karatsuba multiplication, sliding window +exponentiation and Montgomery reduction have been provided to make the library more efficient. -Even with the nearly optimal and specialized algorithms that have been included the Application Programing Interface -(\textit{API}) has been kept as simple as possible. Often generic place holder routines will make use of specialized -algorithms automatically without the developer's specific attention. One such example is the generic multiplication -algorithm \textbf{mp\_mul()} which will automatically use Toom--Cook, Karatsuba, Comba or baseline multiplication -based on the magnitude of the inputs and the configuration of the library. +Even with the nearly optimal and specialized algorithms that have been included the Application Programing Interface +(\textit{API}) has been kept as simple as possible. Often generic place holder routines will make use of specialized +algorithms automatically without the developer's specific attention. One such example is the generic multiplication +algorithm \textbf{mp\_mul()} which will automatically use Toom--Cook, Karatsuba, Comba or baseline multiplication +based on the magnitude of the inputs and the configuration of the library. -Making LibTomMath as efficient as possible is not the only goal of the LibTomMath project. Ideally the library should +Making LibTomMath as efficient as possible is not the only goal of the LibTomMath project. Ideally the library should be source compatible with another popular library which makes it more attractive for developers to use. In this case the -MPI library was used as a API template for all the basic functions. MPI was chosen because it is another library that fits -in the same niche as LibTomMath. Even though LibTomMath uses MPI as the template for the function names and argument +MPI library was used as a API template for all the basic functions. MPI was chosen because it is another library that fits +in the same niche as LibTomMath. Even though LibTomMath uses MPI as the template for the function names and argument passing conventions, it has been written from scratch by Tom St Denis. -The project is also meant to act as a learning tool for students, the logic being that no easy-to-follow ``bignum'' -library exists which can be used to teach computer science students how to perform fast and reliable multiple precision -integer arithmetic. To this end the source code has been given quite a few comments and algorithm discussion points. +The project is also meant to act as a learning tool for students, the logic being that no easy-to-follow ``bignum'' +library exists which can be used to teach computer science students how to perform fast and reliable multiple precision +integer arithmetic. To this end the source code has been given quite a few comments and algorithm discussion points. \section{Choice of LibTomMath} LibTomMath was chosen as the case study of this text not only because the author of both projects is one and the same but -for more worthy reasons. Other libraries such as GMP \cite{GMP}, MPI \cite{MPI}, LIP \cite{LIP} and OpenSSL -\cite{OPENSSL} have multiple precision integer arithmetic routines but would not be ideal for this text for +for more worthy reasons. Other libraries such as GMP \cite{GMP}, MPI \cite{MPI}, LIP \cite{LIP} and OpenSSL +\cite{OPENSSL} have multiple precision integer arithmetic routines but would not be ideal for this text for reasons that will be explained in the following sub-sections. \subsection{Code Base} @@ -472,115 +461,115 @@ segments of code littered throughout the source. This clean and uncluttered app developer can more readily discern the true intent of a given section of source code without trying to keep track of what conditional code will be used. -The code base of LibTomMath is well organized. Each function is in its own separate source code file +The code base of LibTomMath is well organized. Each function is in its own separate source code file which allows the reader to find a given function very quickly. On average there are $76$ lines of code per source file which makes the source very easily to follow. By comparison MPI and LIP are single file projects making code tracing -very hard. GMP has many conditional code segments which also hinder tracing. +very hard. GMP has many conditional code segments which also hinder tracing. When compiled with GCC for the x86 processor and optimized for speed the entire library is approximately $100$KiB\footnote{The notation ``KiB'' means $2^{10}$ octets, similarly ``MiB'' means $2^{20}$ octets.} - which is fairly small compared to GMP (over $250$KiB). LibTomMath is slightly larger than MPI (which compiles to about + which is fairly small compared to GMP (over $250$KiB). LibTomMath is slightly larger than MPI (which compiles to about $50$KiB) but LibTomMath is also much faster and more complete than MPI. \subsection{API Simplicity} -LibTomMath is designed after the MPI library and shares the API design. Quite often programs that use MPI will build -with LibTomMath without change. The function names correlate directly to the action they perform. Almost all of the -functions share the same parameter passing convention. The learning curve is fairly shallow with the API provided -which is an extremely valuable benefit for the student and developer alike. +LibTomMath is designed after the MPI library and shares the API design. Quite often programs that use MPI will build +with LibTomMath without change. The function names correlate directly to the action they perform. Almost all of the +functions share the same parameter passing convention. The learning curve is fairly shallow with the API provided +which is an extremely valuable benefit for the student and developer alike. -The LIP library is an example of a library with an API that is awkward to work with. LIP uses function names that are often ``compressed'' to -illegible short hand. LibTomMath does not share this characteristic. +The LIP library is an example of a library with an API that is awkward to work with. LIP uses function names that are often ``compressed'' to +illegible short hand. LibTomMath does not share this characteristic. The GMP library also does not return error codes. Instead it uses a POSIX.1 \cite{POSIX1} signal system where errors are signaled to the host application. This happens to be the fastest approach but definitely not the most versatile. In -effect a math error (i.e. invalid input, heap error, etc) can cause a program to stop functioning which is definitely +effect a math error (i.e. invalid input, heap error, etc) can cause a program to stop functioning which is definitely undersireable in many situations. \subsection{Optimizations} While LibTomMath is certainly not the fastest library (GMP often beats LibTomMath by a factor of two) it does -feature a set of optimal algorithms for tasks such as modular reduction, exponentiation, multiplication and squaring. GMP +feature a set of optimal algorithms for tasks such as modular reduction, exponentiation, multiplication and squaring. GMP and LIP also feature such optimizations while MPI only uses baseline algorithms with no optimizations. GMP lacks a few of the additional modular reduction optimizations that LibTomMath features\footnote{At the time of this writing GMP -only had Barrett and Montgomery modular reduction algorithms.}. +only had Barrett and Montgomery modular reduction algorithms.}. LibTomMath is almost always an order of magnitude faster than the MPI library at computationally expensive tasks such as modular -exponentiation. In the grand scheme of ``bignum'' libraries LibTomMath is faster than the average library and usually +exponentiation. In the grand scheme of ``bignum'' libraries LibTomMath is faster than the average library and usually slower than the best libraries such as GMP and OpenSSL by only a small factor. \subsection{Portability and Stability} -LibTomMath will build ``out of the box'' on any platform equipped with a modern version of the GNU C Compiler -(\textit{GCC}). This means that without changes the library will build without configuration or setting up any -variables. LIP and MPI will build ``out of the box'' as well but have numerous known bugs. Most notably the author of -MPI has recently stopped working on his library and LIP has long since been discontinued. +LibTomMath will build ``out of the box'' on any platform equipped with a modern version of the GNU C Compiler +(\textit{GCC}). This means that without changes the library will build without configuration or setting up any +variables. LIP and MPI will build ``out of the box'' as well but have numerous known bugs. Most notably the author of +MPI has recently stopped working on his library and LIP has long since been discontinued. GMP requires a configuration script to run and will not build out of the box. GMP and LibTomMath are still in active development and are very stable across a variety of platforms. \subsection{Choice} LibTomMath is a relatively compact, well documented, highly optimized and portable library which seems only natural for -the case study of this text. Various source files from the LibTomMath project will be included within the text. However, -the reader is encouraged to download their own copy of the library to actually be able to work with the library. +the case study of this text. Various source files from the LibTomMath project will be included within the text. However, +the reader is encouraged to download their own copy of the library to actually be able to work with the library. \chapter{Getting Started} \section{Library Basics} -The trick to writing any useful library of source code is to build a solid foundation and work outwards from it. First, -a problem along with allowable solution parameters should be identified and analyzed. In this particular case the +The trick to writing any useful library of source code is to build a solid foundation and work outwards from it. First, +a problem along with allowable solution parameters should be identified and analyzed. In this particular case the inability to accomodate multiple precision integers is the problem. Futhermore, the solution must be written as portable source code that is reasonably efficient across several different computer platforms. -After a foundation is formed the remainder of the library can be designed and implemented in a hierarchical fashion. -That is, to implement the lowest level dependencies first and work towards the most abstract functions last. For example, +After a foundation is formed the remainder of the library can be designed and implemented in a hierarchical fashion. +That is, to implement the lowest level dependencies first and work towards the most abstract functions last. For example, before implementing a modular exponentiation algorithm one would implement a modular reduction algorithm. -By building outwards from a base foundation instead of using a parallel design methodology the resulting project is +By building outwards from a base foundation instead of using a parallel design methodology the resulting project is highly modular. Being highly modular is a desirable property of any project as it often means the resulting product -has a small footprint and updates are easy to perform. +has a small footprint and updates are easy to perform. -Usually when I start a project I will begin with the header files. I define the data types I think I will need and -prototype the initial functions that are not dependent on other functions (within the library). After I +Usually when I start a project I will begin with the header files. I define the data types I think I will need and +prototype the initial functions that are not dependent on other functions (within the library). After I implement these base functions I prototype more dependent functions and implement them. The process repeats until -I implement all of the functions I require. For example, in the case of LibTomMath I implemented functions such as -mp\_init() well before I implemented mp\_mul() and even further before I implemented mp\_exptmod(). As an example as to -why this design works note that the Karatsuba and Toom-Cook multipliers were written \textit{after} the -dependent function mp\_exptmod() was written. Adding the new multiplication algorithms did not require changes to the -mp\_exptmod() function itself and lowered the total cost of ownership (\textit{so to speak}) and of development +I implement all of the functions I require. For example, in the case of LibTomMath I implemented functions such as +mp\_init() well before I implemented mp\_mul() and even further before I implemented mp\_exptmod(). As an example as to +why this design works note that the Karatsuba and Toom-Cook multipliers were written \textit{after} the +dependent function mp\_exptmod() was written. Adding the new multiplication algorithms did not require changes to the +mp\_exptmod() function itself and lowered the total cost of ownership (\textit{so to speak}) and of development for new algorithms. This methodology allows new algorithms to be tested in a complete framework with relative ease. FIGU,design_process,Design Flow of the First Few Original LibTomMath Functions. Only after the majority of the functions were in place did I pursue a less hierarchical approach to auditing and optimizing -the source code. For example, one day I may audit the multipliers and the next day the polynomial basis functions. +the source code. For example, one day I may audit the multipliers and the next day the polynomial basis functions. -It only makes sense to begin the text with the preliminary data types and support algorithms required as well. +It only makes sense to begin the text with the preliminary data types and support algorithms required as well. This chapter discusses the core algorithms of the library which are the dependents for every other algorithm. \section{What is a Multiple Precision Integer?} -Recall that most programming languages, in particular ISO C \cite{ISOC}, only have fixed precision data types that on their own cannot -be used to represent values larger than their precision will allow. The purpose of multiple precision algorithms is -to use fixed precision data types to create and manipulate multiple precision integers which may represent values -that are very large. +Recall that most programming languages, in particular ISO C \cite{ISOC}, only have fixed precision data types that on their own cannot +be used to represent values larger than their precision will allow. The purpose of multiple precision algorithms is +to use fixed precision data types to create and manipulate multiple precision integers which may represent values +that are very large. As a well known analogy, school children are taught how to form numbers larger than nine by prepending more radix ten digits. In the decimal system -the largest single digit value is $9$. However, by concatenating digits together larger numbers may be represented. Newly prepended digits -(\textit{to the left}) are said to be in a different power of ten column. That is, the number $123$ can be described as having a $1$ in the hundreds -column, $2$ in the tens column and $3$ in the ones column. Or more formally $123 = 1 \cdot 10^2 + 2 \cdot 10^1 + 3 \cdot 10^0$. Computer based -multiple precision arithmetic is essentially the same concept. Larger integers are represented by adjoining fixed +the largest single digit value is $9$. However, by concatenating digits together larger numbers may be represented. Newly prepended digits +(\textit{to the left}) are said to be in a different power of ten column. That is, the number $123$ can be described as having a $1$ in the hundreds +column, $2$ in the tens column and $3$ in the ones column. Or more formally $123 = 1 \cdot 10^2 + 2 \cdot 10^1 + 3 \cdot 10^0$. Computer based +multiple precision arithmetic is essentially the same concept. Larger integers are represented by adjoining fixed precision computer words with the exception that a different radix is used. -What most people probably do not think about explicitly are the various other attributes that describe a multiple precision -integer. For example, the integer $154_{10}$ has two immediately obvious properties. First, the integer is positive, -that is the sign of this particular integer is positive as opposed to negative. Second, the integer has three digits in -its representation. There is an additional property that the integer posesses that does not concern pencil-and-paper -arithmetic. The third property is how many digits placeholders are available to hold the integer. +What most people probably do not think about explicitly are the various other attributes that describe a multiple precision +integer. For example, the integer $154_{10}$ has two immediately obvious properties. First, the integer is positive, +that is the sign of this particular integer is positive as opposed to negative. Second, the integer has three digits in +its representation. There is an additional property that the integer posesses that does not concern pencil-and-paper +arithmetic. The third property is how many digits placeholders are available to hold the integer. The human analogy of this third property is ensuring there is enough space on the paper to write the integer. For example, -if one starts writing a large number too far to the right on a piece of paper they will have to erase it and move left. +if one starts writing a large number too far to the right on a piece of paper they will have to erase it and move left. Similarly, computer algorithms must maintain strict control over memory usage to ensure that the digits of an integer -will not exceed the allowed boundaries. These three properties make up what is known as a multiple precision -integer or mp\_int for short. +will not exceed the allowed boundaries. These three properties make up what is known as a multiple precision +integer or mp\_int for short. \subsection{The mp\_int Structure} \label{sec:MPINT} -The mp\_int structure is the ISO C based manifestation of what represents a multiple precision integer. The ISO C standard does not provide for -any such data type but it does provide for making composite data types known as structures. The following is the structure definition +The mp\_int structure is the ISO C based manifestation of what represents a multiple precision integer. The ISO C standard does not provide for +any such data type but it does provide for making composite data types known as structures. The following is the structure definition used within LibTomMath. \index{mp\_int} @@ -607,46 +596,46 @@ The mp\_int structure (fig. \ref{fig:mpint}) can be broken down as follows. \begin{enumerate} \item The \textbf{used} parameter denotes how many digits of the array \textbf{dp} contain the digits used to represent -a given integer. The \textbf{used} count must be positive (or zero) and may not exceed the \textbf{alloc} count. +a given integer. The \textbf{used} count must be positive (or zero) and may not exceed the \textbf{alloc} count. -\item The \textbf{alloc} parameter denotes how -many digits are available in the array to use by functions before it has to increase in size. When the \textbf{used} count -of a result would exceed the \textbf{alloc} count all of the algorithms will automatically increase the size of the -array to accommodate the precision of the result. +\item The \textbf{alloc} parameter denotes how +many digits are available in the array to use by functions before it has to increase in size. When the \textbf{used} count +of a result would exceed the \textbf{alloc} count all of the algorithms will automatically increase the size of the +array to accommodate the precision of the result. -\item The pointer \textbf{dp} points to a dynamically allocated array of digits that represent the given multiple -precision integer. It is padded with $(\textbf{alloc} - \textbf{used})$ zero digits. The array is maintained in a least +\item The pointer \textbf{dp} points to a dynamically allocated array of digits that represent the given multiple +precision integer. It is padded with $(\textbf{alloc} - \textbf{used})$ zero digits. The array is maintained in a least significant digit order. As a pencil and paper analogy the array is organized such that the right most digits are stored -first starting at the location indexed by zero\footnote{In C all arrays begin at zero.} in the array. For example, -if \textbf{dp} contains $\lbrace a, b, c, \ldots \rbrace$ where \textbf{dp}$_0 = a$, \textbf{dp}$_1 = b$, \textbf{dp}$_2 = c$, $\ldots$ then -it would represent the integer $a + b\beta + c\beta^2 + \ldots$ +first starting at the location indexed by zero\footnote{In C all arrays begin at zero.} in the array. For example, +if \textbf{dp} contains $\lbrace a, b, c, \ldots \rbrace$ where \textbf{dp}$_0 = a$, \textbf{dp}$_1 = b$, \textbf{dp}$_2 = c$, $\ldots$ then +it would represent the integer $a + b\beta + c\beta^2 + \ldots$ \index{MP\_ZPOS} \index{MP\_NEG} -\item The \textbf{sign} parameter denotes the sign as either zero/positive (\textbf{MP\_ZPOS}) or negative (\textbf{MP\_NEG}). +\item The \textbf{sign} parameter denotes the sign as either zero/positive (\textbf{MP\_ZPOS}) or negative (\textbf{MP\_NEG}). \end{enumerate} \subsubsection{Valid mp\_int Structures} -Several rules are placed on the state of an mp\_int structure and are assumed to be followed for reasons of efficiency. +Several rules are placed on the state of an mp\_int structure and are assumed to be followed for reasons of efficiency. The only exceptions are when the structure is passed to initialization functions such as mp\_init() and mp\_init\_copy(). \begin{enumerate} \item The value of \textbf{alloc} may not be less than one. That is \textbf{dp} always points to a previously allocated array of digits. \item The value of \textbf{used} may not exceed \textbf{alloc} and must be greater than or equal to zero. -\item The value of \textbf{used} implies the digit at index $(used - 1)$ of the \textbf{dp} array is non-zero. That is, +\item The value of \textbf{used} implies the digit at index $(used - 1)$ of the \textbf{dp} array is non-zero. That is, leading zero digits in the most significant positions must be trimmed. \begin{enumerate} \item Digits in the \textbf{dp} array at and above the \textbf{used} location must be zero. \end{enumerate} -\item The value of \textbf{sign} must be \textbf{MP\_ZPOS} if \textbf{used} is zero; +\item The value of \textbf{sign} must be \textbf{MP\_ZPOS} if \textbf{used} is zero; this represents the mp\_int value of zero. \end{enumerate} \section{Argument Passing} -A convention of argument passing must be adopted early on in the development of any library. Making the function -prototypes consistent will help eliminate many headaches in the future as the library grows to significant complexity. -In LibTomMath the multiple precision integer functions accept parameters from left to right as pointers to mp\_int -structures. That means that the source (input) operands are placed on the left and the destination (output) on the right. +A convention of argument passing must be adopted early on in the development of any library. Making the function +prototypes consistent will help eliminate many headaches in the future as the library grows to significant complexity. +In LibTomMath the multiple precision integer functions accept parameters from left to right as pointers to mp\_int +structures. That means that the source (input) operands are placed on the left and the destination (output) on the right. Consider the following examples. \begin{verbatim} @@ -659,25 +648,25 @@ The left to right order is a fairly natural way to implement the functions since functions and make sense of them. For example, the first function would read ``multiply a and b and store in c''. Certain libraries (\textit{LIP by Lenstra for instance}) accept parameters the other way around, to mimic the order -of assignment expressions. That is, the destination (output) is on the left and arguments (inputs) are on the right. In -truth, it is entirely a matter of preference. In the case of LibTomMath the convention from the MPI library has been -adopted. - -Another very useful design consideration, provided for in LibTomMath, is whether to allow argument sources to also be a -destination. For example, the second example (\textit{mp\_add}) adds $a$ to $b$ and stores in $a$. This is an important -feature to implement since it allows the calling functions to cut down on the number of variables it must maintain. -However, to implement this feature specific care has to be given to ensure the destination is not modified before the +of assignment expressions. That is, the destination (output) is on the left and arguments (inputs) are on the right. In +truth, it is entirely a matter of preference. In the case of LibTomMath the convention from the MPI library has been +adopted. + +Another very useful design consideration, provided for in LibTomMath, is whether to allow argument sources to also be a +destination. For example, the second example (\textit{mp\_add}) adds $a$ to $b$ and stores in $a$. This is an important +feature to implement since it allows the calling functions to cut down on the number of variables it must maintain. +However, to implement this feature specific care has to be given to ensure the destination is not modified before the source is fully read. \section{Return Values} -A well implemented application, no matter what its purpose, should trap as many runtime errors as possible and return them -to the caller. By catching runtime errors a library can be guaranteed to prevent undefined behaviour. However, the end +A well implemented application, no matter what its purpose, should trap as many runtime errors as possible and return them +to the caller. By catching runtime errors a library can be guaranteed to prevent undefined behaviour. However, the end developer can still manage to cause a library to crash. For example, by passing an invalid pointer an application may fault by dereferencing memory not owned by the application. -In the case of LibTomMath the only errors that are checked for are related to inappropriate inputs (division by zero for -instance) and memory allocation errors. It will not check that the mp\_int passed to any function is valid nor -will it check pointers for validity. Any function that can cause a runtime error will return an error code as an +In the case of LibTomMath the only errors that are checked for are related to inappropriate inputs (division by zero for +instance) and memory allocation errors. It will not check that the mp\_int passed to any function is valid nor +will it check pointers for validity. Any function that can cause a runtime error will return an error code as an \textbf{int} data type with one of the following values (fig \ref{fig:errcodes}). \index{MP\_OKAY} \index{MP\_VAL} \index{MP\_MEM} @@ -696,7 +685,7 @@ will it check pointers for validity. Any function that can cause a runtime erro \end{figure} When an error is detected within a function it should free any memory it allocated, often during the initialization of -temporary mp\_ints, and return as soon as possible. The goal is to leave the system in the same state it was when the +temporary mp\_ints, and return as soon as possible. The goal is to leave the system in the same state it was when the function was called. Error checking with this style of API is fairly simple. \begin{verbatim} @@ -707,19 +696,19 @@ function was called. Error checking with this style of API is fairly simple. } \end{verbatim} -The GMP \cite{GMP} library uses C style \textit{signals} to flag errors which is of questionable use. Not all errors are fatal +The GMP \cite{GMP} library uses C style \textit{signals} to flag errors which is of questionable use. Not all errors are fatal and it was not deemed ideal by the author of LibTomMath to force developers to have signal handlers for such cases. \section{Initialization and Clearing} -The logical starting point when actually writing multiple precision integer functions is the initialization and +The logical starting point when actually writing multiple precision integer functions is the initialization and clearing of the mp\_int structures. These two algorithms will be used by the majority of the higher level algorithms. Given the basic mp\_int structure an initialization routine must first allocate memory to hold the digits of the integer. Often it is optimal to allocate a sufficiently large pre-set number of digits even though the initial integer will represent zero. If only a single digit were allocated quite a few subsequent re-allocations would occur when operations are performed on the integers. There is a tradeoff between how many default digits to allocate -and how many re-allocations are tolerable. Obviously allocating an excessive amount of digits initially will waste -memory and become unmanageable. +and how many re-allocations are tolerable. Obviously allocating an excessive amount of digits initially will waste +memory and become unmanageable. If the memory for the digits has been successfully allocated then the rest of the members of the structure must be initialized. Since the initial state of an mp\_int is to represent the zero integer, the allocated digits must be set @@ -754,16 +743,16 @@ structure are set to valid values. The mp\_init algorithm will perform such an \textbf{Algorithm mp\_init.} The purpose of this function is to initialize an mp\_int structure so that the rest of the library can properly manipulte it. It is assumed that the input may not have had any of its members previously initialized which is certainly -a valid assumption if the input resides on the stack. +a valid assumption if the input resides on the stack. Before any of the members such as \textbf{sign}, \textbf{used} or \textbf{alloc} are initialized the memory for -the digits is allocated. If this fails the function returns before setting any of the other members. The \textbf{MP\_PREC} -name represents a constant\footnote{Defined in the ``tommath.h'' header file within LibTomMath.} +the digits is allocated. If this fails the function returns before setting any of the other members. The \textbf{MP\_PREC} +name represents a constant\footnote{Defined in the ``tommath.h'' header file within LibTomMath.} used to dictate the minimum precision of newly initialized mp\_int integers. Ideally, it is at least equal to the smallest precision number you'll be working with. Allocating a block of digits at first instead of a single digit has the benefit of lowering the number of usually slow -heap operations later functions will have to perform in the future. If \textbf{MP\_PREC} is set correctly the slack +heap operations later functions will have to perform in the future. If \textbf{MP\_PREC} is set correctly the slack memory and the number of heap operations will be trivial. Once the allocation has been made the digits have to be set to zero as well as the \textbf{used}, \textbf{sign} and @@ -775,14 +764,14 @@ This function introduces the idiosyncrasy that all iterative loops, commonly ini when the ``to'' keyword is placed between two expressions. For example, ``for $a$ from $b$ to $c$ do'' means that a subsequent expression (or body of expressions) are to be evaluated upto $c - b$ times so long as $b \le c$. In each iteration the variable $a$ is substituted for a new integer that lies inclusively between $b$ and $c$. If $b > c$ occured -the loop would not iterate. By contrast if the ``downto'' keyword were used in place of ``to'' the loop would iterate +the loop would not iterate. By contrast if the ``downto'' keyword were used in place of ``to'' the loop would iterate decrementally. EXAM,bn_mp_init.c -One immediate observation of this initializtion function is that it does not return a pointer to a mp\_int structure. It -is assumed that the caller has already allocated memory for the mp\_int structure, typically on the application stack. The -call to mp\_init() is used only to initialize the members of the structure to a known default state. +One immediate observation of this initializtion function is that it does not return a pointer to a mp\_int structure. It +is assumed that the caller has already allocated memory for the mp\_int structure, typically on the application stack. The +call to mp\_init() is used only to initialize the members of the structure to a known default state. Here we see (line @23,XMALLOC@) the memory allocation is performed first. This allows us to exit cleanly and quickly if there is an error. If the allocation fails the routine will return \textbf{MP\_MEM} to the caller to indicate there @@ -791,17 +780,17 @@ but a macro defined in ``tommath.h``. By default, XMALLOC will evaluate to mall memory allocation routine. In order to assure the mp\_int is in a known state the digits must be set to zero. On most platforms this could have been -accomplished by using calloc() instead of malloc(). However, to correctly initialize a integer type to a given value in a +accomplished by using calloc() instead of malloc(). However, to correctly initialize a integer type to a given value in a portable fashion you have to actually assign the value. The for loop (line @28,for@) performs this required operation. -After the memory has been successfully initialized the remainder of the members are initialized +After the memory has been successfully initialized the remainder of the members are initialized (lines @29,used@ through @31,sign@) to their respective default states. At this point the algorithm has succeeded and -a success code is returned to the calling function. If this function returns \textbf{MP\_OKAY} it is safe to assume the -mp\_int structure has been properly initialized and is safe to use with other functions within the library. +a success code is returned to the calling function. If this function returns \textbf{MP\_OKAY} it is safe to assume the +mp\_int structure has been properly initialized and is safe to use with other functions within the library. \subsection{Clearing an mp\_int} -When an mp\_int is no longer required by the application, the memory that has been allocated for its digits must be +When an mp\_int is no longer required by the application, the memory that has been allocated for its digits must be returned to the application's memory pool with the mp\_clear algorithm. \begin{figure}[here] @@ -826,12 +815,12 @@ returned to the application's memory pool with the mp\_clear algorithm. \end{figure} \textbf{Algorithm mp\_clear.} -This algorithm accomplishes two goals. First, it clears the digits and the other mp\_int members. This ensures that +This algorithm accomplishes two goals. First, it clears the digits and the other mp\_int members. This ensures that if a developer accidentally re-uses a cleared structure it is less likely to cause problems. The second goal is to free the allocated memory. The logic behind the algorithm is extended by marking cleared mp\_int structures so that subsequent calls to this -algorithm will not try to free the memory multiple times. Cleared mp\_ints are detectable by having a pre-defined invalid +algorithm will not try to free the memory multiple times. Cleared mp\_ints are detectable by having a pre-defined invalid digit pointer \textbf{dp} setting. Once an mp\_int has been cleared the mp\_int structure is no longer in a valid state for any other algorithm @@ -844,11 +833,11 @@ checks to see if the \textbf{dp} member is not \textbf{NULL}. If the mp\_int is \textbf{NULL} in which case the if statement will evaluate to true. The digits of the mp\_int are cleared by the for loop (line @25,for@) which assigns a zero to every digit. Similar to mp\_init() -the digits are assigned zero instead of using block memory operations (such as memset()) since this is more portable. +the digits are assigned zero instead of using block memory operations (such as memset()) since this is more portable. The digits are deallocated off the heap via the XFREE macro. Similar to XMALLOC the XFREE macro actually evaluates to a standard C library function. In this case the free() function. Since free() only deallocates the memory the pointer -still has to be reset to \textbf{NULL} manually (line @33,NULL@). +still has to be reset to \textbf{NULL} manually (line @33,NULL@). Now that the digits have been cleared and deallocated the other members are set to their final values (lines @34,= 0@ and @35,ZPOS@). @@ -856,16 +845,16 @@ Now that the digits have been cleared and deallocated the other members are set The previous sections describes how to initialize and clear an mp\_int structure. To further support operations that are to be performed on mp\_int structures (such as addition and multiplication) the dependent algorithms must be -able to augment the precision of an mp\_int and -initialize mp\_ints with differing initial conditions. +able to augment the precision of an mp\_int and +initialize mp\_ints with differing initial conditions. These algorithms complete the set of low level algorithms required to work with mp\_int structures in the higher level algorithms such as addition, multiplication and modular exponentiation. \subsection{Augmenting an mp\_int's Precision} -When storing a value in an mp\_int structure, a sufficient number of digits must be available to accomodate the entire -result of an operation without loss of precision. Quite often the size of the array given by the \textbf{alloc} member -is large enough to simply increase the \textbf{used} digit count. However, when the size of the array is too small it +When storing a value in an mp\_int structure, a sufficient number of digits must be available to accomodate the entire +result of an operation without loss of precision. Quite often the size of the array given by the \textbf{alloc} member +is large enough to simply increase the \textbf{used} digit count. However, when the size of the array is too small it must be re-sized appropriately to accomodate the result. The mp\_grow algorithm will provide this functionality. \newpage\begin{figure}[here] @@ -891,14 +880,14 @@ must be re-sized appropriately to accomodate the result. The mp\_grow algorithm \end{figure} \textbf{Algorithm mp\_grow.} -It is ideal to prevent re-allocations from being performed if they are not required (step one). This is useful to -prevent mp\_ints from growing excessively in code that erroneously calls mp\_grow. +It is ideal to prevent re-allocations from being performed if they are not required (step one). This is useful to +prevent mp\_ints from growing excessively in code that erroneously calls mp\_grow. -The requested digit count is padded up to next multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} (steps two and three). -This helps prevent many trivial reallocations that would grow an mp\_int by trivially small values. +The requested digit count is padded up to next multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} (steps two and three). +This helps prevent many trivial reallocations that would grow an mp\_int by trivially small values. -It is assumed that the reallocation (step four) leaves the lower $a.alloc$ digits of the mp\_int intact. This is much -akin to how the \textit{realloc} function from the standard C library works. Since the newly allocated digits are +It is assumed that the reallocation (step four) leaves the lower $a.alloc$ digits of the mp\_int intact. This is much +akin to how the \textit{realloc} function from the standard C library works. Since the newly allocated digits are assumed to contain undefined values they are initially set to zero. EXAM,bn_mp_grow.c @@ -915,12 +904,12 @@ the re-allocation. All that is left is to clear the newly allocated digits and Note that the re-allocation result is actually stored in a temporary pointer $tmp$. This is to allow this function to return an error with a valid pointer. Earlier releases of the library stored the result of XREALLOC into the mp\_int $a$. That would -result in a memory leak if XREALLOC ever failed. +result in a memory leak if XREALLOC ever failed. \subsection{Initializing Variable Precision mp\_ints} -Occasionally the number of digits required will be known in advance of an initialization, based on, for example, the size -of input mp\_ints to a given algorithm. The purpose of algorithm mp\_init\_size is similar to mp\_init except that it -will allocate \textit{at least} a specified number of digits. +Occasionally the number of digits required will be known in advance of an initialization, based on, for example, the size +of input mp\_ints to a given algorithm. The purpose of algorithm mp\_init\_size is similar to mp\_init except that it +will allocate \textit{at least} a specified number of digits. \begin{figure}[here] \begin{small} @@ -947,30 +936,30 @@ will allocate \textit{at least} a specified number of digits. \end{figure} \textbf{Algorithm mp\_init\_size.} -This algorithm will initialize an mp\_int structure $a$ like algorithm mp\_init with the exception that the number of -digits allocated can be controlled by the second input argument $b$. The input size is padded upwards so it is a -multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} digits. This padding is used to prevent trivial +This algorithm will initialize an mp\_int structure $a$ like algorithm mp\_init with the exception that the number of +digits allocated can be controlled by the second input argument $b$. The input size is padded upwards so it is a +multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} digits. This padding is used to prevent trivial allocations from becoming a bottleneck in the rest of the algorithms. -Like algorithm mp\_init, the mp\_int structure is initialized to a default state representing the integer zero. This +Like algorithm mp\_init, the mp\_int structure is initialized to a default state representing the integer zero. This particular algorithm is useful if it is known ahead of time the approximate size of the input. If the approximation is correct no further memory re-allocations are required to work with the mp\_int. EXAM,bn_mp_init_size.c -The number of digits $b$ requested is padded (line @22,MP_PREC@) by first augmenting it to the next multiple of -\textbf{MP\_PREC} and then adding \textbf{MP\_PREC} to the result. If the memory can be successfully allocated the -mp\_int is placed in a default state representing the integer zero. Otherwise, the error code \textbf{MP\_MEM} will be -returned (line @27,return@). +The number of digits $b$ requested is padded (line @22,MP_PREC@) by first augmenting it to the next multiple of +\textbf{MP\_PREC} and then adding \textbf{MP\_PREC} to the result. If the memory can be successfully allocated the +mp\_int is placed in a default state representing the integer zero. Otherwise, the error code \textbf{MP\_MEM} will be +returned (line @27,return@). -The digits are allocated and set to zero at the same time with the calloc() function (line @25,XCALLOC@). The -\textbf{used} count is set to zero, the \textbf{alloc} count set to the padded digit count and the \textbf{sign} flag set -to \textbf{MP\_ZPOS} to achieve a default valid mp\_int state (lines @29,used@, @30,alloc@ and @31,sign@). If the function -returns succesfully then it is correct to assume that the mp\_int structure is in a valid state for the remainder of the +The digits are allocated with the malloc() function (line @27,XMALLOC@) and set to zero afterwards (line @38,for@). The +\textbf{used} count is set to zero, the \textbf{alloc} count set to the padded digit count and the \textbf{sign} flag set +to \textbf{MP\_ZPOS} to achieve a default valid mp\_int state (lines @29,used@, @30,alloc@ and @31,sign@). If the function +returns succesfully then it is correct to assume that the mp\_int structure is in a valid state for the remainder of the functions to work with. \subsection{Multiple Integer Initializations and Clearings} -Occasionally a function will require a series of mp\_int data types to be made available simultaneously. +Occasionally a function will require a series of mp\_int data types to be made available simultaneously. The purpose of algorithm mp\_init\_multi is to initialize a variable length array of mp\_int structures in a single statement. It is essentially a shortcut to multiple initializations. @@ -995,42 +984,42 @@ statement. It is essentially a shortcut to multiple initializations. \end{figure} \textbf{Algorithm mp\_init\_multi.} -The algorithm will initialize the array of mp\_int variables one at a time. If a runtime error has been detected -(\textit{step 1.2}) all of the previously initialized variables are cleared. The goal is an ``all or nothing'' +The algorithm will initialize the array of mp\_int variables one at a time. If a runtime error has been detected +(\textit{step 1.2}) all of the previously initialized variables are cleared. The goal is an ``all or nothing'' initialization which allows for quick recovery from runtime errors. EXAM,bn_mp_init_multi.c This function intializes a variable length list of mp\_int structure pointers. However, instead of having the mp\_int -structures in an actual C array they are simply passed as arguments to the function. This function makes use of the -``...'' argument syntax of the C programming language. The list is terminated with a final \textbf{NULL} argument -appended on the right. +structures in an actual C array they are simply passed as arguments to the function. This function makes use of the +``...'' argument syntax of the C programming language. The list is terminated with a final \textbf{NULL} argument +appended on the right. The function uses the ``stdarg.h'' \textit{va} functions to step portably through the arguments to the function. A count $n$ of succesfully initialized mp\_int structures is maintained (line @47,n++@) such that if a failure does occur, -the algorithm can backtrack and free the previously initialized structures (lines @27,if@ to @46,}@). +the algorithm can backtrack and free the previously initialized structures (lines @27,if@ to @46,}@). \subsection{Clamping Excess Digits} -When a function anticipates a result will be $n$ digits it is simpler to assume this is true within the body of -the function instead of checking during the computation. For example, a multiplication of a $i$ digit number by a -$j$ digit produces a result of at most $i + j$ digits. It is entirely possible that the result is $i + j - 1$ -though, with no final carry into the last position. However, suppose the destination had to be first expanded -(\textit{via mp\_grow}) to accomodate $i + j - 1$ digits than further expanded to accomodate the final carry. +When a function anticipates a result will be $n$ digits it is simpler to assume this is true within the body of +the function instead of checking during the computation. For example, a multiplication of a $i$ digit number by a +$j$ digit produces a result of at most $i + j$ digits. It is entirely possible that the result is $i + j - 1$ +though, with no final carry into the last position. However, suppose the destination had to be first expanded +(\textit{via mp\_grow}) to accomodate $i + j - 1$ digits than further expanded to accomodate the final carry. That would be a considerable waste of time since heap operations are relatively slow. The ideal solution is to always assume the result is $i + j$ and fix up the \textbf{used} count after the function terminates. This way a single heap operation (\textit{at most}) is required. However, if the result was not checked -there would be an excess high order zero digit. +there would be an excess high order zero digit. -For example, suppose the product of two integers was $x_n = (0x_{n-1}x_{n-2}...x_0)_{\beta}$. The leading zero digit +For example, suppose the product of two integers was $x_n = (0x_{n-1}x_{n-2}...x_0)_{\beta}$. The leading zero digit will not contribute to the precision of the result. In fact, through subsequent operations more leading zero digits would -accumulate to the point the size of the integer would be prohibitive. As a result even though the precision is very -low the representation is excessively large. +accumulate to the point the size of the integer would be prohibitive. As a result even though the precision is very +low the representation is excessively large. -The mp\_clamp algorithm is designed to solve this very problem. It will trim high-order zeros by decrementing the -\textbf{used} count until a non-zero most significant digit is found. Also in this system, zero is considered to be a -positive number which means that if the \textbf{used} count is decremented to zero, the sign must be set to +The mp\_clamp algorithm is designed to solve this very problem. It will trim high-order zeros by decrementing the +\textbf{used} count until a non-zero most significant digit is found. Also in this system, zero is considered to be a +positive number which means that if the \textbf{used} count is decremented to zero, the sign must be set to \textbf{MP\_ZPOS}. \begin{figure}[here] @@ -1052,16 +1041,16 @@ positive number which means that if the \textbf{used} count is decremented to ze \textbf{Algorithm mp\_clamp.} As can be expected this algorithm is very simple. The loop on step one is expected to iterate only once or twice at -the most. For example, this will happen in cases where there is not a carry to fill the last position. Step two fixes the sign for +the most. For example, this will happen in cases where there is not a carry to fill the last position. Step two fixes the sign for when all of the digits are zero to ensure that the mp\_int is valid at all times. EXAM,bn_mp_clamp.c Note on line @27,while@ how to test for the \textbf{used} count is made on the left of the \&\& operator. In the C programming -language the terms to \&\& are evaluated left to right with a boolean short-circuit if any condition fails. This is -important since if the \textbf{used} is zero the test on the right would fetch below the array. That is obviously +language the terms to \&\& are evaluated left to right with a boolean short-circuit if any condition fails. This is +important since if the \textbf{used} is zero the test on the right would fetch below the array. That is obviously undesirable. The parenthesis on line @28,a->used@ is used to make sure the \textbf{used} count is decremented and not -the pointer ``a''. +the pointer ``a''. \section*{Exercises} \begin{tabular}{cl} @@ -1087,19 +1076,19 @@ $\left [ 1 \right ]$ & Give an example of when the algorithm mp\_init\_copy mig \section{Introduction} In the previous chapter a series of low level algorithms were established that dealt with initializing and maintaining -mp\_int structures. This chapter will discuss another set of seemingly non-algebraic algorithms which will form the low +mp\_int structures. This chapter will discuss another set of seemingly non-algebraic algorithms which will form the low level basis of the entire library. While these algorithm are relatively trivial it is important to understand how they work before proceeding since these algorithms will be used almost intrinsically in the following chapters. The algorithms in this chapter deal primarily with more ``programmer'' related tasks such as creating copies of mp\_int structures, assigning small values to mp\_int structures and comparisons of the values mp\_int structures -represent. +represent. \section{Assigning Values to mp\_int Structures} \subsection{Copying an mp\_int} Assigning the value that a given mp\_int structure represents to another mp\_int structure shall be known as making a copy for the purposes of this text. The copy of the mp\_int will be a separate entity that represents the same -value as the mp\_int it was copied from. The mp\_copy algorithm provides this functionality. +value as the mp\_int it was copied from. The mp\_copy algorithm provides this functionality. \newpage\begin{figure}[here] \begin{center} @@ -1124,40 +1113,40 @@ value as the mp\_int it was copied from. The mp\_copy algorithm provides this f \textbf{Algorithm mp\_copy.} This algorithm copies the mp\_int $a$ such that upon succesful termination of the algorithm the mp\_int $b$ will -represent the same integer as the mp\_int $a$. The mp\_int $b$ shall be a complete and distinct copy of the +represent the same integer as the mp\_int $a$. The mp\_int $b$ shall be a complete and distinct copy of the mp\_int $a$ meaing that the mp\_int $a$ can be modified and it shall not affect the value of the mp\_int $b$. -If $b$ does not have enough room for the digits of $a$ it must first have its precision augmented via the mp\_grow +If $b$ does not have enough room for the digits of $a$ it must first have its precision augmented via the mp\_grow algorithm. The digits of $a$ are copied over the digits of $b$ and any excess digits of $b$ are set to zero (step two and three). The \textbf{used} and \textbf{sign} members of $a$ are finally copied over the respective members of $b$. \textbf{Remark.} This algorithm also introduces a new idiosyncrasy that will be used throughout the rest of the -text. The error return codes of other algorithms are not explicitly checked in the pseudo-code presented. For example, in -step one of the mp\_copy algorithm the return of mp\_grow is not explicitly checked to ensure it succeeded. Text space is +text. The error return codes of other algorithms are not explicitly checked in the pseudo-code presented. For example, in +step one of the mp\_copy algorithm the return of mp\_grow is not explicitly checked to ensure it succeeded. Text space is limited so it is assumed that if a algorithm fails it will clear all temporarily allocated mp\_ints and return -the error code itself. However, the C code presented will demonstrate all of the error handling logic required to +the error code itself. However, the C code presented will demonstrate all of the error handling logic required to implement the pseudo-code. EXAM,bn_mp_copy.c Occasionally a dependent algorithm may copy an mp\_int effectively into itself such as when the input and output -mp\_int structures passed to a function are one and the same. For this case it is optimal to return immediately without -copying digits (line @24,a == b@). +mp\_int structures passed to a function are one and the same. For this case it is optimal to return immediately without +copying digits (line @24,a == b@). The mp\_int $b$ must have enough digits to accomodate the used digits of the mp\_int $a$. If $b.alloc$ is less than $a.used$ the algorithm mp\_grow is used to augment the precision of $b$ (lines @29,alloc@ to @33,}@). In order to simplify the inner loop that copies the digits from $a$ to $b$, two aliases $tmpa$ and $tmpb$ point directly at the digits of the mp\_ints $a$ and $b$ respectively. These aliases (lines @42,tmpa@ and @45,tmpb@) allow the compiler to access the digits without first dereferencing the -mp\_int pointers and then subsequently the pointer to the digits. +mp\_int pointers and then subsequently the pointer to the digits. -After the aliases are established the digits from $a$ are copied into $b$ (lines @48,for@ to @50,}@) and then the excess -digits of $b$ are set to zero (lines @53,for@ to @55,}@). Both ``for'' loops make use of the pointer aliases and in -fact the alias for $b$ is carried through into the second ``for'' loop to clear the excess digits. This optimization +After the aliases are established the digits from $a$ are copied into $b$ (lines @48,for@ to @50,}@) and then the excess +digits of $b$ are set to zero (lines @53,for@ to @55,}@). Both ``for'' loops make use of the pointer aliases and in +fact the alias for $b$ is carried through into the second ``for'' loop to clear the excess digits. This optimization allows the alias to stay in a machine register fairly easy between the two loops. \textbf{Remarks.} The use of pointer aliases is an implementation methodology first introduced in this function that will -be used considerably in other functions. Technically, a pointer alias is simply a short hand alias used to lower the +be used considerably in other functions. Technically, a pointer alias is simply a short hand alias used to lower the number of pointer dereferencing operations required to access data. For example, a for loop may resemble \begin{alltt} @@ -1166,7 +1155,7 @@ for (x = 0; x < 100; x++) \{ \} \end{alltt} -This could be re-written using aliases as +This could be re-written using aliases as \begin{alltt} mp_digit *tmpa; @@ -1176,17 +1165,17 @@ for (x = 0; x < 100; x++) \{ \} \end{alltt} -In this case an alias is used to access the -array of digits within an mp\_int structure directly. It may seem that a pointer alias is strictly not required +In this case an alias is used to access the +array of digits within an mp\_int structure directly. It may seem that a pointer alias is strictly not required as a compiler may optimize out the redundant pointer operations. However, there are two dominant reasons to use aliases. -The first reason is that most compilers will not effectively optimize pointer arithmetic. For example, some optimizations -may work for the Microsoft Visual C++ compiler (MSVC) and not for the GNU C Compiler (GCC). Also some optimizations may -work for GCC and not MSVC. As such it is ideal to find a common ground for as many compilers as possible. Pointer -aliases optimize the code considerably before the compiler even reads the source code which means the end compiled code +The first reason is that most compilers will not effectively optimize pointer arithmetic. For example, some optimizations +may work for the Microsoft Visual C++ compiler (MSVC) and not for the GNU C Compiler (GCC). Also some optimizations may +work for GCC and not MSVC. As such it is ideal to find a common ground for as many compilers as possible. Pointer +aliases optimize the code considerably before the compiler even reads the source code which means the end compiled code stands a better chance of being faster. -The second reason is that pointer aliases often can make an algorithm simpler to read. Consider the first ``for'' +The second reason is that pointer aliases often can make an algorithm simpler to read. Consider the first ``for'' loop of the function mp\_copy() re-written to not use pointer aliases. \begin{alltt} @@ -1196,13 +1185,13 @@ loop of the function mp\_copy() re-written to not use pointer aliases. \} \end{alltt} -Whether this code is harder to read depends strongly on the individual. However, it is quantifiably slightly more +Whether this code is harder to read depends strongly on the individual. However, it is quantifiably slightly more complicated as there are four variables within the statement instead of just two. \subsubsection{Nested Statements} Another commonly used technique in the source routines is that certain sections of code are nested. This is used in particular with the pointer aliases to highlight code phases. For example, a Comba multiplier (discussed in chapter six) -will typically have three different phases. First the temporaries are initialized, then the columns calculated and +will typically have three different phases. First the temporaries are initialized, then the columns calculated and finally the carries are propagated. In this example the middle column production phase will typically be nested as it uses temporary variables and aliases the most. @@ -1211,9 +1200,9 @@ the various temporary variables required do not propagate into other sections of \subsection{Creating a Clone} -Another common operation is to make a local temporary copy of an mp\_int argument. To initialize an mp\_int -and then copy another existing mp\_int into the newly intialized mp\_int will be known as creating a clone. This is -useful within functions that need to modify an argument but do not wish to actually modify the original copy. The +Another common operation is to make a local temporary copy of an mp\_int argument. To initialize an mp\_int +and then copy another existing mp\_int into the newly intialized mp\_int will be known as creating a clone. This is +useful within functions that need to modify an argument but do not wish to actually modify the original copy. The mp\_init\_copy algorithm has been designed to help perform this task. \begin{figure}[here] @@ -1233,14 +1222,14 @@ mp\_init\_copy algorithm has been designed to help perform this task. \end{figure} \textbf{Algorithm mp\_init\_copy.} -This algorithm will initialize an mp\_int variable and copy another previously initialized mp\_int variable into it. As -such this algorithm will perform two operations in one step. +This algorithm will initialize an mp\_int variable and copy another previously initialized mp\_int variable into it. As +such this algorithm will perform two operations in one step. EXAM,bn_mp_init_copy.c -This will initialize \textbf{a} and make it a verbatim copy of the contents of \textbf{b}. Note that +This will initialize \textbf{a} and make it a verbatim copy of the contents of \textbf{b}. Note that \textbf{a} will have its own memory allocated which means that \textbf{b} may be cleared after the call -and \textbf{a} will be left intact. +and \textbf{a} will be left intact. \section{Zeroing an Integer} Reseting an mp\_int to the default state is a common step in many algorithms. The mp\_zero algorithm will be the algorithm used to @@ -1264,11 +1253,11 @@ perform this task. \end{figure} \textbf{Algorithm mp\_zero.} -This algorithm simply resets a mp\_int to the default state. +This algorithm simply resets a mp\_int to the default state. EXAM,bn_mp_zero.c -After the function is completed, all of the digits are zeroed, the \textbf{used} count is zeroed and the +After the function is completed, all of the digits are zeroed, the \textbf{used} count is zeroed and the \textbf{sign} variable is set to \textbf{MP\_ZPOS}. \section{Sign Manipulation} @@ -1296,7 +1285,7 @@ the absolute value of an mp\_int. \textbf{Algorithm mp\_abs.} This algorithm computes the absolute of an mp\_int input. First it copies $a$ over $b$. This is an example of an algorithm where the check in mp\_copy that determines if the source and destination are equal proves useful. This allows, -for instance, the developer to pass the same mp\_int as the source and destination to this function without addition +for instance, the developer to pass the same mp\_int as the source and destination to this function without addition logic to handle it. EXAM,bn_mp_abs.c @@ -1331,7 +1320,7 @@ the negative of an mp\_int input. \textbf{Algorithm mp\_neg.} This algorithm computes the negation of an input. First it copies $a$ over $b$. If $a$ has no used digits then -the algorithm returns immediately. Otherwise it flips the sign flag and stores the result in $b$. Note that if +the algorithm returns immediately. Otherwise it flips the sign flag and stores the result in $b$. Note that if $a$ had no digits then it must be positive by definition. Had step three been omitted then the algorithm would return zero as negative. @@ -1356,9 +1345,9 @@ Often a mp\_int must be set to a relatively small value such as $1$ or $2$. For 2. $a_0 \leftarrow b \mbox{ (mod }\beta\mbox{)}$ \\ 3. $a.used \leftarrow \left \lbrace \begin{array}{ll} 1 & \mbox{if }a_0 > 0 \\ - 0 & \mbox{if }a_0 = 0 + 0 & \mbox{if }a_0 = 0 \end{array} \right .$ \\ -\hline +\hline \end{tabular} \end{center} \caption{Algorithm mp\_set} @@ -1370,16 +1359,16 @@ single digit is set (\textit{modulo $\beta$}) and the \textbf{used} count is adj EXAM,bn_mp_set.c -First we zero (line @21,mp_zero@) the mp\_int to make sure that the other members are initialized for a +First we zero (line @21,mp_zero@) the mp\_int to make sure that the other members are initialized for a small positive constant. mp\_zero() ensures that the \textbf{sign} is positive and the \textbf{used} count -is zero. Next we set the digit and reduce it modulo $\beta$ (line @22,MP_MASK@). After this step we have to +is zero. Next we set the digit and reduce it modulo $\beta$ (line @22,MP_MASK@). After this step we have to check if the resulting digit is zero or not. If it is not then we set the \textbf{used} count to one, otherwise to zero. -We can quickly reduce modulo $\beta$ since it is of the form $2^k$ and a quick binary AND operation with +We can quickly reduce modulo $\beta$ since it is of the form $2^k$ and a quick binary AND operation with $2^k - 1$ will perform the same operation. -One important limitation of this function is that it will only set one digit. The size of a digit is not fixed, meaning source that uses +One important limitation of this function is that it will only set one digit. The size of a digit is not fixed, meaning source that uses this function should take that into account. Only trivially small constants can be set using this function. \subsection{Setting Large Constants} @@ -1407,9 +1396,9 @@ data type as input and will always treat it as a 32-bit integer. \end{figure} \textbf{Algorithm mp\_set\_int.} -The algorithm performs eight iterations of a simple loop where in each iteration four bits from the source are added to the +The algorithm performs eight iterations of a simple loop where in each iteration four bits from the source are added to the mp\_int. Step 2.1 will multiply the current result by sixteen making room for four more bits in the less significant positions. In step 2.2 the -next four bits from the source are extracted and are added to the mp\_int. The \textbf{used} digit count is +next four bits from the source are extracted and are added to the mp\_int. The \textbf{used} digit count is incremented to reflect the addition. The \textbf{used} digit counter is incremented since if any of the leading digits were zero the mp\_int would have zero digits used and the newly added four bits would be ignored. @@ -1418,23 +1407,23 @@ Excess zero digits are trimmed in steps 2.1 and 3 by using higher level algorith EXAM,bn_mp_set_int.c This function sets four bits of the number at a time to handle all practical \textbf{DIGIT\_BIT} sizes. The weird -addition on line @38,a->used@ ensures that the newly added in bits are added to the number of digits. While it may not -seem obvious as to why the digit counter does not grow exceedingly large it is because of the shift on line @27,mp_mul_2d@ -as well as the call to mp\_clamp() on line @40,mp_clamp@. Both functions will clamp excess leading digits which keeps +addition on line @38,a->used@ ensures that the newly added in bits are added to the number of digits. While it may not +seem obvious as to why the digit counter does not grow exceedingly large it is because of the shift on line @27,mp_mul_2d@ +as well as the call to mp\_clamp() on line @40,mp_clamp@. Both functions will clamp excess leading digits which keeps the number of used digits low. \section{Comparisons} \subsection{Unsigned Comparisions} Comparing a multiple precision integer is performed with the exact same algorithm used to compare two decimal numbers. For example, to compare $1,234$ to $1,264$ the digits are extracted by their positions. That is we compare $1 \cdot 10^3 + 2 \cdot 10^2 + 3 \cdot 10^1 + 4 \cdot 10^0$ -to $1 \cdot 10^3 + 2 \cdot 10^2 + 6 \cdot 10^1 + 4 \cdot 10^0$ by comparing single digits at a time starting with the highest magnitude -positions. If any leading digit of one integer is greater than a digit in the same position of another integer then obviously it must be greater. +to $1 \cdot 10^3 + 2 \cdot 10^2 + 6 \cdot 10^1 + 4 \cdot 10^0$ by comparing single digits at a time starting with the highest magnitude +positions. If any leading digit of one integer is greater than a digit in the same position of another integer then obviously it must be greater. The first comparision routine that will be developed is the unsigned magnitude compare which will perform a comparison based on the digits of two -mp\_int variables alone. It will ignore the sign of the two inputs. Such a function is useful when an absolute comparison is required or if the +mp\_int variables alone. It will ignore the sign of the two inputs. Such a function is useful when an absolute comparison is required or if the signs are known to agree in advance. -To facilitate working with the results of the comparison functions three constants are required. +To facilitate working with the results of the comparison functions three constants are required. \begin{figure}[here] \begin{center} @@ -1470,24 +1459,24 @@ To facilitate working with the results of the comparison functions three constan \textbf{Algorithm mp\_cmp\_mag.} By saying ``$a$ to the left of $b$'' it is meant that the comparison is with respect to $a$, that is if $a$ is greater than $b$ it will return -\textbf{MP\_GT} and similar with respect to when $a = b$ and $a < b$. The first two steps compare the number of digits used in both $a$ and $b$. -Obviously if the digit counts differ there would be an imaginary zero digit in the smaller number where the leading digit of the larger number is. -If both have the same number of digits than the actual digits themselves must be compared starting at the leading digit. +\textbf{MP\_GT} and similar with respect to when $a = b$ and $a < b$. The first two steps compare the number of digits used in both $a$ and $b$. +Obviously if the digit counts differ there would be an imaginary zero digit in the smaller number where the leading digit of the larger number is. +If both have the same number of digits than the actual digits themselves must be compared starting at the leading digit. By step three both inputs must have the same number of digits so its safe to start from either $a.used - 1$ or $b.used - 1$ and count down to the zero'th digit. If after all of the digits have been compared, no difference is found, the algorithm returns \textbf{MP\_EQ}. EXAM,bn_mp_cmp_mag.c -The two if statements (lines @24,if@ and @28,if@) compare the number of digits in the two inputs. These two are -performed before all of the digits are compared since it is a very cheap test to perform and can potentially save -considerable time. The implementation given is also not valid without those two statements. $b.alloc$ may be +The two if statements (lines @24,if@ and @28,if@) compare the number of digits in the two inputs. These two are +performed before all of the digits are compared since it is a very cheap test to perform and can potentially save +considerable time. The implementation given is also not valid without those two statements. $b.alloc$ may be smaller than $a.used$, meaning that undefined values will be read from $b$ past the end of the array of digits. \subsection{Signed Comparisons} -Comparing with sign considerations is also fairly critical in several routines (\textit{division for example}). Based on an unsigned magnitude +Comparing with sign considerations is also fairly critical in several routines (\textit{division for example}). Based on an unsigned magnitude comparison a trivial signed comparison algorithm can be written. \begin{figure}[here] @@ -1510,16 +1499,16 @@ comparison a trivial signed comparison algorithm can be written. \end{figure} \textbf{Algorithm mp\_cmp.} -The first two steps compare the signs of the two inputs. If the signs do not agree then it can return right away with the appropriate -comparison code. When the signs are equal the digits of the inputs must be compared to determine the correct result. In step -three the unsigned comparision flips the order of the arguments since they are both negative. For instance, if $-a > -b$ then +The first two steps compare the signs of the two inputs. If the signs do not agree then it can return right away with the appropriate +comparison code. When the signs are equal the digits of the inputs must be compared to determine the correct result. In step +three the unsigned comparision flips the order of the arguments since they are both negative. For instance, if $-a > -b$ then $\vert a \vert < \vert b \vert$. Step number four will compare the two when they are both positive. EXAM,bn_mp_cmp.c The two if statements (lines @22,if@ and @26,if@) perform the initial sign comparison. If the signs are not the equal then which ever -has the positive sign is larger. The inputs are compared (line @30,if@) based on magnitudes. If the signs were both -negative then the unsigned comparison is performed in the opposite direction (line @31,mp_cmp_mag@). Otherwise, the signs are assumed to +has the positive sign is larger. The inputs are compared (line @30,if@) based on magnitudes. If the signs were both +negative then the unsigned comparison is performed in the opposite direction (line @31,mp_cmp_mag@). Otherwise, the signs are assumed to be both positive and a forward direction unsigned comparison is performed. \section*{Exercises} @@ -1536,38 +1525,38 @@ $\left [ 1 \right ]$ & Suggest a simple method to speed up the implementation of \chapter{Basic Arithmetic} \section{Introduction} -At this point algorithms for initialization, clearing, zeroing, copying, comparing and setting small constants have been -established. The next logical set of algorithms to develop are addition, subtraction and digit shifting algorithms. These -algorithms make use of the lower level algorithms and are the cruicial building block for the multiplication algorithms. It is very important -that these algorithms are highly optimized. On their own they are simple $O(n)$ algorithms but they can be called from higher level algorithms -which easily places them at $O(n^2)$ or even $O(n^3)$ work levels. +At this point algorithms for initialization, clearing, zeroing, copying, comparing and setting small constants have been +established. The next logical set of algorithms to develop are addition, subtraction and digit shifting algorithms. These +algorithms make use of the lower level algorithms and are the cruicial building block for the multiplication algorithms. It is very important +that these algorithms are highly optimized. On their own they are simple $O(n)$ algorithms but they can be called from higher level algorithms +which easily places them at $O(n^2)$ or even $O(n^3)$ work levels. MARK,SHIFTS -All of the algorithms within this chapter make use of the logical bit shift operations denoted by $<<$ and $>>$ for left and right -logical shifts respectively. A logical shift is analogous to sliding the decimal point of radix-10 representations. For example, the real -number $0.9345$ is equivalent to $93.45\%$ which is found by sliding the the decimal two places to the right (\textit{multiplying by $\beta^2 = 10^2$}). -Algebraically a binary logical shift is equivalent to a division or multiplication by a power of two. +All of the algorithms within this chapter make use of the logical bit shift operations denoted by $<<$ and $>>$ for left and right +logical shifts respectively. A logical shift is analogous to sliding the decimal point of radix-10 representations. For example, the real +number $0.9345$ is equivalent to $93.45\%$ which is found by sliding the the decimal two places to the right (\textit{multiplying by $\beta^2 = 10^2$}). +Algebraically a binary logical shift is equivalent to a division or multiplication by a power of two. For example, $a << k = a \cdot 2^k$ while $a >> k = \lfloor a/2^k \rfloor$. One significant difference between a logical shift and the way decimals are shifted is that digits below the zero'th position are removed -from the number. For example, consider $1101_2 >> 1$ using decimal notation this would produce $110.1_2$. However, with a logical shift the -result is $110_2$. +from the number. For example, consider $1101_2 >> 1$ using decimal notation this would produce $110.1_2$. However, with a logical shift the +result is $110_2$. \section{Addition and Subtraction} In common twos complement fixed precision arithmetic negative numbers are easily represented by subtraction from the modulus. For example, with 32-bit integers -$a - b\mbox{ (mod }2^{32}\mbox{)}$ is the same as $a + (2^{32} - b) \mbox{ (mod }2^{32}\mbox{)}$ since $2^{32} \equiv 0 \mbox{ (mod }2^{32}\mbox{)}$. +$a - b\mbox{ (mod }2^{32}\mbox{)}$ is the same as $a + (2^{32} - b) \mbox{ (mod }2^{32}\mbox{)}$ since $2^{32} \equiv 0 \mbox{ (mod }2^{32}\mbox{)}$. As a result subtraction can be performed with a trivial series of logical operations and an addition. However, in multiple precision arithmetic negative numbers are not represented in the same way. Instead a sign flag is used to keep track of the -sign of the integer. As a result signed addition and subtraction are actually implemented as conditional usage of lower level addition or +sign of the integer. As a result signed addition and subtraction are actually implemented as conditional usage of lower level addition or subtraction algorithms with the sign fixed up appropriately. The lower level algorithms will add or subtract integers without regard to the sign flag. That is they will add or subtract the magnitude of the integers respectively. \subsection{Low Level Addition} -An unsigned addition of multiple precision integers is performed with the same long-hand algorithm used to add decimal numbers. That is to add the -trailing digits first and propagate the resulting carry upwards. Since this is a lower level algorithm the name will have a ``s\_'' prefix. +An unsigned addition of multiple precision integers is performed with the same long-hand algorithm used to add decimal numbers. That is to add the +trailing digits first and propagate the resulting carry upwards. Since this is a lower level algorithm the name will have a ``s\_'' prefix. Historically that convention stems from the MPI library where ``s\_'' stood for static functions that were hidden from the developer entirely. \newpage @@ -1614,18 +1603,18 @@ Historically that convention stems from the MPI library where ``s\_'' stood for \end{figure} \textbf{Algorithm s\_mp\_add.} -This algorithm is loosely based on algorithm 14.7 of HAC \cite[pp. 594]{HAC} but has been extended to allow the inputs to have different magnitudes. -Coincidentally the description of algorithm A in Knuth \cite[pp. 266]{TAOCPV2} shares the same deficiency as the algorithm from \cite{HAC}. Even the +This algorithm is loosely based on algorithm 14.7 of HAC \cite[pp. 594]{HAC} but has been extended to allow the inputs to have different magnitudes. +Coincidentally the description of algorithm A in Knuth \cite[pp. 266]{TAOCPV2} shares the same deficiency as the algorithm from \cite{HAC}. Even the MIX pseudo machine code presented by Knuth \cite[pp. 266-267]{TAOCPV2} is incapable of handling inputs which are of different magnitudes. The first thing that has to be accomplished is to sort out which of the two inputs is the largest. The addition logic will simply add all of the smallest input to the largest input and store that first part of the result in the destination. Then it will apply a simpler addition loop to excess digits of the larger input. -The first two steps will handle sorting the inputs such that $min$ and $max$ hold the digit counts of the two +The first two steps will handle sorting the inputs such that $min$ and $max$ hold the digit counts of the two inputs. The variable $x$ will be an mp\_int alias for the largest input or the second input $b$ if they have the -same number of digits. After the inputs are sorted the destination $c$ is grown as required to accomodate the sum -of the two inputs. The original \textbf{used} count of $c$ is copied and set to the new used count. +same number of digits. After the inputs are sorted the destination $c$ is grown as required to accomodate the sum +of the two inputs. The original \textbf{used} count of $c$ is copied and set to the new used count. At this point the first addition loop will go through as many digit positions that both inputs have. The carry variable $\mu$ is set to zero outside the loop. Inside the loop an ``addition'' step requires three statements to produce @@ -1644,32 +1633,32 @@ EXAM,bn_s_mp_add.c We first sort (lines @27,if@ to @35,}@) the inputs based on magnitude and determine the $min$ and $max$ variables. Note that $x$ is a pointer to an mp\_int assigned to the largest input, in effect it is a local alias. Next we -grow the destination (@37,init@ to @42,}@) ensure that it can accomodate the result of the addition. +grow the destination (@37,init@ to @42,}@) ensure that it can accomodate the result of the addition. -Similar to the implementation of mp\_copy this function uses the braced code and local aliases coding style. The three aliases that are on +Similar to the implementation of mp\_copy this function uses the braced code and local aliases coding style. The three aliases that are on lines @56,tmpa@, @59,tmpb@ and @62,tmpc@ represent the two inputs and destination variables respectively. These aliases are used to ensure the compiler does not have to dereference $a$, $b$ or $c$ (respectively) to access the digits of the respective mp\_int. -The initial carry $u$ will be cleared (line @65,u = 0@), note that $u$ is of type mp\_digit which ensures type +The initial carry $u$ will be cleared (line @65,u = 0@), note that $u$ is of type mp\_digit which ensures type compatibility within the implementation. The initial addition (line @66,for@ to @75,}@) adds digits from both inputs until the smallest input runs out of digits. Similarly the conditional addition loop -(line @81,for@ to @90,}@) adds the remaining digits from the larger of the two inputs. The addition is finished +(line @81,for@ to @90,}@) adds the remaining digits from the larger of the two inputs. The addition is finished with the final carry being stored in $tmpc$ (line @94,tmpc++@). Note the ``++'' operator within the same expression. After line @94,tmpc++@, $tmpc$ will point to the $c.used$'th digit of the mp\_int $c$. This is useful for the next loop (line @97,for@ to @99,}@) which set any old upper digits to zero. \subsection{Low Level Subtraction} The low level unsigned subtraction algorithm is very similar to the low level unsigned addition algorithm. The principle difference is that the -unsigned subtraction algorithm requires the result to be positive. That is when computing $a - b$ the condition $\vert a \vert \ge \vert b\vert$ must -be met for this algorithm to function properly. Keep in mind this low level algorithm is not meant to be used in higher level algorithms directly. +unsigned subtraction algorithm requires the result to be positive. That is when computing $a - b$ the condition $\vert a \vert \ge \vert b\vert$ must +be met for this algorithm to function properly. Keep in mind this low level algorithm is not meant to be used in higher level algorithms directly. This algorithm as will be shown can be used to create functional signed addition and subtraction algorithms. MARK,GAMMA For this algorithm a new variable is required to make the description simpler. Recall from section 1.3.1 that a mp\_digit must be able to represent -the range $0 \le x < 2\beta$ for the algorithms to work correctly. However, it is allowable that a mp\_digit represent a larger range of values. For -this algorithm we will assume that the variable $\gamma$ represents the number of bits available in a -mp\_digit (\textit{this implies $2^{\gamma} > \beta$}). +the range $0 \le x < 2\beta$ for the algorithms to work correctly. However, it is allowable that a mp\_digit represent a larger range of values. For +this algorithm we will assume that the variable $\gamma$ represents the number of bits available in a +mp\_digit (\textit{this implies $2^{\gamma} > \beta$}). For example, the default for LibTomMath is to use a ``unsigned long'' for the mp\_digit ``type'' while $\beta = 2^{28}$. In ISO C an ``unsigned long'' data type must be able to represent $0 \le x < 2^{32}$ meaning that in this case $\gamma \ge 32$. @@ -1685,7 +1674,7 @@ data type must be able to represent $0 \le x < 2^{32}$ meaning that in this case 1. $min \leftarrow b.used$ \\ 2. $max \leftarrow a.used$ \\ 3. If $c.alloc < max$ then grow $c$ to hold at least $max$ digits. (\textit{mp\_grow}) \\ -4. $oldused \leftarrow c.used$ \\ +4. $oldused \leftarrow c.used$ \\ 5. $c.used \leftarrow max$ \\ 6. $u \leftarrow 0$ \\ 7. for $n$ from $0$ to $min - 1$ do \\ @@ -1715,54 +1704,54 @@ passing variables $a$ and $b$ the condition that $\vert a \vert \ge \vert b \ver algorithm is loosely based on algorithm 14.9 \cite[pp. 595]{HAC} and is similar to algorithm S in \cite[pp. 267]{TAOCPV2} as well. As was the case of the algorithm s\_mp\_add both other references lack discussion concerning various practical details such as when the inputs differ in magnitude. -The initial sorting of the inputs is trivial in this algorithm since $a$ is guaranteed to have at least the same magnitude of $b$. Steps 1 and 2 -set the $min$ and $max$ variables. Unlike the addition routine there is guaranteed to be no carry which means that the final result can be at -most $max$ digits in length as opposed to $max + 1$. Similar to the addition algorithm the \textbf{used} count of $c$ is copied locally and +The initial sorting of the inputs is trivial in this algorithm since $a$ is guaranteed to have at least the same magnitude of $b$. Steps 1 and 2 +set the $min$ and $max$ variables. Unlike the addition routine there is guaranteed to be no carry which means that the final result can be at +most $max$ digits in length as opposed to $max + 1$. Similar to the addition algorithm the \textbf{used} count of $c$ is copied locally and set to the maximal count for the operation. -The subtraction loop that begins on step seven is essentially the same as the addition loop of algorithm s\_mp\_add except single precision -subtraction is used instead. Note the use of the $\gamma$ variable to extract the carry (\textit{also known as the borrow}) within the subtraction -loops. Under the assumption that two's complement single precision arithmetic is used this will successfully extract the desired carry. +The subtraction loop that begins on step seven is essentially the same as the addition loop of algorithm s\_mp\_add except single precision +subtraction is used instead. Note the use of the $\gamma$ variable to extract the carry (\textit{also known as the borrow}) within the subtraction +loops. Under the assumption that two's complement single precision arithmetic is used this will successfully extract the desired carry. -For example, consider subtracting $0101_2$ from $0100_2$ where $\gamma = 4$ and $\beta = 2$. The least significant bit will force a carry upwards to -the third bit which will be set to zero after the borrow. After the very first bit has been subtracted $4 - 1 \equiv 0011_2$ will remain, When the -third bit of $0101_2$ is subtracted from the result it will cause another carry. In this case though the carry will be forced to propagate all the -way to the most significant bit. +For example, consider subtracting $0101_2$ from $0100_2$ where $\gamma = 4$ and $\beta = 2$. The least significant bit will force a carry upwards to +the third bit which will be set to zero after the borrow. After the very first bit has been subtracted $4 - 1 \equiv 0011_2$ will remain, When the +third bit of $0101_2$ is subtracted from the result it will cause another carry. In this case though the carry will be forced to propagate all the +way to the most significant bit. -Recall that $\beta < 2^{\gamma}$. This means that if a carry does occur just before the $lg(\beta)$'th bit it will propagate all the way to the most +Recall that $\beta < 2^{\gamma}$. This means that if a carry does occur just before the $lg(\beta)$'th bit it will propagate all the way to the most significant bit. Thus, the high order bits of the mp\_digit that are not part of the actual digit will either be all zero, or all one. All that -is needed is a single zero or one bit for the carry. Therefore a single logical shift right by $\gamma - 1$ positions is sufficient to extract the -carry. This method of carry extraction may seem awkward but the reason for it becomes apparent when the implementation is discussed. +is needed is a single zero or one bit for the carry. Therefore a single logical shift right by $\gamma - 1$ positions is sufficient to extract the +carry. This method of carry extraction may seem awkward but the reason for it becomes apparent when the implementation is discussed. If $b$ has a smaller magnitude than $a$ then step 9 will force the carry and copy operation to propagate through the larger input $a$ into $c$. Step 10 will ensure that any leading digits of $c$ above the $max$'th position are zeroed. EXAM,bn_s_mp_sub.c -Like low level addition we ``sort'' the inputs. Except in this case the sorting is hardcoded -(lines @24,min@ and @25,max@). In reality the $min$ and $max$ variables are only aliases and are only -used to make the source code easier to read. Again the pointer alias optimization is used +Like low level addition we ``sort'' the inputs. Except in this case the sorting is hardcoded +(lines @24,min@ and @25,max@). In reality the $min$ and $max$ variables are only aliases and are only +used to make the source code easier to read. Again the pointer alias optimization is used within this algorithm. The aliases $tmpa$, $tmpb$ and $tmpc$ are initialized (lines @42,tmpa@, @43,tmpb@ and @44,tmpc@) for $a$, $b$ and $c$ respectively. The first subtraction loop (lines @47,u = 0@ through @61,}@) subtract digits from both inputs until the smaller of -the two inputs has been exhausted. As remarked earlier there is an implementation reason for using the ``awkward'' -method of extracting the carry (line @57, >>@). The traditional method for extracting the carry would be to shift -by $lg(\beta)$ positions and logically AND the least significant bit. The AND operation is required because all of -the bits above the $\lg(\beta)$'th bit will be set to one after a carry occurs from subtraction. This carry -extraction requires two relatively cheap operations to extract the carry. The other method is to simply shift the -most significant bit to the least significant bit thus extracting the carry with a single cheap operation. This +the two inputs has been exhausted. As remarked earlier there is an implementation reason for using the ``awkward'' +method of extracting the carry (line @57, >>@). The traditional method for extracting the carry would be to shift +by $lg(\beta)$ positions and logically AND the least significant bit. The AND operation is required because all of +the bits above the $\lg(\beta)$'th bit will be set to one after a carry occurs from subtraction. This carry +extraction requires two relatively cheap operations to extract the carry. The other method is to simply shift the +most significant bit to the least significant bit thus extracting the carry with a single cheap operation. This optimization only works on twos compliment machines which is a safe assumption to make. -If $a$ has a larger magnitude than $b$ an additional loop (lines @64,for@ through @73,}@) is required to propagate -the carry through $a$ and copy the result to $c$. +If $a$ has a larger magnitude than $b$ an additional loop (lines @64,for@ through @73,}@) is required to propagate +the carry through $a$ and copy the result to $c$. \subsection{High Level Addition} Now that both lower level addition and subtraction algorithms have been established an effective high level signed addition algorithm can be -established. This high level addition algorithm will be what other algorithms and developers will use to perform addition of mp\_int data -types. +established. This high level addition algorithm will be what other algorithms and developers will use to perform addition of mp\_int data +types. -Recall from section 5.2 that an mp\_int represents an integer with an unsigned mantissa (\textit{the array of digits}) and a \textbf{sign} +Recall from section 5.2 that an mp\_int represents an integer with an unsigned mantissa (\textit{the array of digits}) and a \textbf{sign} flag. A high level addition is actually performed as a series of eight separate cases which can be optimized down to three unique cases. \begin{figure}[!here] @@ -1790,8 +1779,8 @@ flag. A high level addition is actually performed as a series of eight separate \end{figure} \textbf{Algorithm mp\_add.} -This algorithm performs the signed addition of two mp\_int variables. There is no reference algorithm to draw upon from -either \cite{TAOCPV2} or \cite{HAC} since they both only provide unsigned operations. The algorithm is fairly +This algorithm performs the signed addition of two mp\_int variables. There is no reference algorithm to draw upon from +either \cite{TAOCPV2} or \cite{HAC} since they both only provide unsigned operations. The algorithm is fairly straightforward but restricted since subtraction can only produce positive results. \begin{figure}[here] @@ -1821,9 +1810,9 @@ straightforward but restricted since subtraction can only produce positive resul \label{fig:AddChart} \end{figure} -Figure~\ref{fig:AddChart} lists all of the eight possible input combinations and is sorted to show that only three -specific cases need to be handled. The return code of the unsigned operations at step 1.2, 2.1.2 and 2.2.2 are -forwarded to step three to check for errors. This simplifies the description of the algorithm considerably and best +Figure~\ref{fig:AddChart} lists all of the eight possible input combinations and is sorted to show that only three +specific cases need to be handled. The return code of the unsigned operations at step 1.2, 2.1.2 and 2.2.2 are +forwarded to step three to check for errors. This simplifies the description of the algorithm considerably and best follows how the implementation actually was achieved. Also note how the \textbf{sign} is set before the unsigned addition or subtraction is performed. Recall from the descriptions of algorithms @@ -1831,8 +1820,8 @@ s\_mp\_add and s\_mp\_sub that the mp\_clamp function is used at the end to trim to \textbf{MP\_ZPOS} when the \textbf{used} digit count reaches zero. For example, consider performing $-a + a$ with algorithm mp\_add. By the description of the algorithm the sign is set to \textbf{MP\_NEG} which would -produce a result of $-0$. However, since the sign is set first then the unsigned addition is performed the subsequent usage of algorithm mp\_clamp -within algorithm s\_mp\_add will force $-0$ to become $0$. +produce a result of $-0$. However, since the sign is set first then the unsigned addition is performed the subsequent usage of algorithm mp\_clamp +within algorithm s\_mp\_add will force $-0$ to become $0$. EXAM,bn_mp_add.c @@ -1842,7 +1831,7 @@ explicitly checking it and returning the constant \textbf{MP\_OKAY}. The observ level functions do so. Returning their return code is sufficient. \subsection{High Level Subtraction} -The high level signed subtraction algorithm is essentially the same as the high level signed addition algorithm. +The high level signed subtraction algorithm is essentially the same as the high level signed addition algorithm. \newpage\begin{figure}[!here] \begin{center} @@ -1872,7 +1861,7 @@ The high level signed subtraction algorithm is essentially the same as the high \end{figure} \textbf{Algorithm mp\_sub.} -This algorithm performs the signed subtraction of two inputs. Similar to algorithm mp\_add there is no reference in either \cite{TAOCPV2} or +This algorithm performs the signed subtraction of two inputs. Similar to algorithm mp\_add there is no reference in either \cite{TAOCPV2} or \cite{HAC}. Also this algorithm is restricted by algorithm s\_mp\_sub. Chart \ref{fig:SubChart} lists the eight possible inputs and the operations required. @@ -1899,28 +1888,28 @@ the operations required. \label{fig:SubChart} \end{figure} -Similar to the case of algorithm mp\_add the \textbf{sign} is set first before the unsigned addition or subtraction. That is to prevent the -algorithm from producing $-a - -a = -0$ as a result. +Similar to the case of algorithm mp\_add the \textbf{sign} is set first before the unsigned addition or subtraction. That is to prevent the +algorithm from producing $-a - -a = -0$ as a result. EXAM,bn_mp_sub.c Much like the implementation of algorithm mp\_add the variable $res$ is used to catch the return code of the unsigned addition or subtraction operations -and forward it to the end of the function. On line @38, != MP_LT@ the ``not equal to'' \textbf{MP\_LT} expression is used to emulate a -``greater than or equal to'' comparison. +and forward it to the end of the function. On line @38, != MP_LT@ the ``not equal to'' \textbf{MP\_LT} expression is used to emulate a +``greater than or equal to'' comparison. \section{Bit and Digit Shifting} MARK,POLY -It is quite common to think of a multiple precision integer as a polynomial in $x$, that is $y = f(\beta)$ where $f(x) = \sum_{i=0}^{n-1} a_i x^i$. -This notation arises within discussion of Montgomery and Diminished Radix Reduction as well as Karatsuba multiplication and squaring. +It is quite common to think of a multiple precision integer as a polynomial in $x$, that is $y = f(\beta)$ where $f(x) = \sum_{i=0}^{n-1} a_i x^i$. +This notation arises within discussion of Montgomery and Diminished Radix Reduction as well as Karatsuba multiplication and squaring. In order to facilitate operations on polynomials in $x$ as above a series of simple ``digit'' algorithms have to be established. That is to shift the digits left or right as well to shift individual bits of the digits left and right. It is important to note that not all ``shift'' operations -are on radix-$\beta$ digits. +are on radix-$\beta$ digits. \subsection{Multiplication by Two} -In a binary system where the radix is a power of two multiplication by two not only arises often in other algorithms it is a fairly efficient -operation to perform. A single precision logical shift left is sufficient to multiply a single digit by two. +In a binary system where the radix is a power of two multiplication by two not only arises often in other algorithms it is a fairly efficient +operation to perform. A single precision logical shift left is sufficient to multiply a single digit by two. \newpage\begin{figure}[!here] \begin{small} @@ -1954,26 +1943,26 @@ operation to perform. A single precision logical shift left is sufficient to mu \end{figure} \textbf{Algorithm mp\_mul\_2.} -This algorithm will quickly multiply a mp\_int by two provided $\beta$ is a power of two. Neither \cite{TAOCPV2} nor \cite{HAC} describe such -an algorithm despite the fact it arises often in other algorithms. The algorithm is setup much like the lower level algorithm s\_mp\_add since -it is for all intents and purposes equivalent to the operation $b = \vert a \vert + \vert a \vert$. +This algorithm will quickly multiply a mp\_int by two provided $\beta$ is a power of two. Neither \cite{TAOCPV2} nor \cite{HAC} describe such +an algorithm despite the fact it arises often in other algorithms. The algorithm is setup much like the lower level algorithm s\_mp\_add since +it is for all intents and purposes equivalent to the operation $b = \vert a \vert + \vert a \vert$. Step 1 and 2 grow the input as required to accomodate the maximum number of \textbf{used} digits in the result. The initial \textbf{used} count is set to $a.used$ at step 4. Only if there is a final carry will the \textbf{used} count require adjustment. -Step 6 is an optimization implementation of the addition loop for this specific case. That is since the two values being added together +Step 6 is an optimization implementation of the addition loop for this specific case. That is since the two values being added together are the same there is no need to perform two reads from the digits of $a$. Step 6.1 performs a single precision shift on the current digit $a_n$ to obtain what will be the carry for the next iteration. Step 6.2 calculates the $n$'th digit of the result as single precision shift of $a_n$ plus -the previous carry. Recall from ~SHIFTS~ that $a_n << 1$ is equivalent to $a_n \cdot 2$. An iteration of the addition loop is finished with +the previous carry. Recall from ~SHIFTS~ that $a_n << 1$ is equivalent to $a_n \cdot 2$. An iteration of the addition loop is finished with forwarding the carry to the next iteration. -Step 7 takes care of any final carry by setting the $a.used$'th digit of the result to the carry and augmenting the \textbf{used} count of $b$. +Step 7 takes care of any final carry by setting the $a.used$'th digit of the result to the carry and augmenting the \textbf{used} count of $b$. Step 8 clears any leading digits of $b$ in case it originally had a larger magnitude than $a$. EXAM,bn_mp_mul_2.c This implementation is essentially an optimized implementation of s\_mp\_add for the case of doubling an input. The only noteworthy difference -is the use of the logical shift operator on line @52,<<@ to perform a single precision doubling. +is the use of the logical shift operator on line @52,<<@ to perform a single precision doubling. \subsection{Division by Two} A division by two can just as easily be accomplished with a logical shift right as multiplication by two can be with a logical shift left. @@ -2014,26 +2003,26 @@ core as the basis of the algorithm. Unlike mp\_mul\_2 the shift operations work could be written to work from the trailing digit to the leading digit however, it would have to stop one short of $a.used - 1$ digits to prevent reading past the end of the array of digits. -Essentially the loop at step 6 is similar to that of mp\_mul\_2 except the logical shifts go in the opposite direction and the carry is at the -least significant bit not the most significant bit. +Essentially the loop at step 6 is similar to that of mp\_mul\_2 except the logical shifts go in the opposite direction and the carry is at the +least significant bit not the most significant bit. EXAM,bn_mp_div_2.c \section{Polynomial Basis Operations} Recall from ~POLY~ that any integer can be represented as a polynomial in $x$ as $y = f(\beta)$. Such a representation is also known as -the polynomial basis \cite[pp. 48]{ROSE}. Given such a notation a multiplication or division by $x$ amounts to shifting whole digits a single +the polynomial basis \cite[pp. 48]{ROSE}. Given such a notation a multiplication or division by $x$ amounts to shifting whole digits a single place. The need for such operations arises in several other higher level algorithms such as Barrett and Montgomery reduction, integer -division and Karatsuba multiplication. +division and Karatsuba multiplication. Converting from an array of digits to polynomial basis is very simple. Consider the integer $y \equiv (a_2, a_1, a_0)_{\beta}$ and recall that $y = \sum_{i=0}^{2} a_i \beta^i$. Simply replace $\beta$ with $x$ and the expression is in polynomial basis. For example, $f(x) = 8x + 9$ is the -polynomial basis representation for $89$ using radix ten. That is, $f(10) = 8(10) + 9 = 89$. +polynomial basis representation for $89$ using radix ten. That is, $f(10) = 8(10) + 9 = 89$. \subsection{Multiplication by $x$} -Given a polynomial in $x$ such as $f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_0$ multiplying by $x$ amounts to shifting the coefficients up one +Given a polynomial in $x$ such as $f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_0$ multiplying by $x$ amounts to shifting the coefficients up one degree. In this case $f(x) \cdot x = a_n x^{n+1} + a_{n-1} x^n + ... + a_0 x$. From a scalar basis point of view multiplying by $x$ is equivalent to -multiplying by the integer $\beta$. +multiplying by the integer $\beta$. \newpage\begin{figure}[!here] \begin{small} @@ -2064,16 +2053,16 @@ multiplying by the integer $\beta$. \end{figure} \textbf{Algorithm mp\_lshd.} -This algorithm multiplies an mp\_int by the $b$'th power of $x$. This is equivalent to multiplying by $\beta^b$. The algorithm differs +This algorithm multiplies an mp\_int by the $b$'th power of $x$. This is equivalent to multiplying by $\beta^b$. The algorithm differs from the other algorithms presented so far as it performs the operation in place instead storing the result in a separate location. The motivation behind this change is due to the way this function is typically used. Algorithms such as mp\_add store the result in an optionally different third mp\_int because the original inputs are often still required. Algorithm mp\_lshd (\textit{and similarly algorithm mp\_rshd}) is -typically used on values where the original value is no longer required. The algorithm will return success immediately if -$b \le 0$ since the rest of algorithm is only valid when $b > 0$. +typically used on values where the original value is no longer required. The algorithm will return success immediately if +$b \le 0$ since the rest of algorithm is only valid when $b > 0$. First the destination $a$ is grown as required to accomodate the result. The counters $i$ and $j$ are used to form a \textit{sliding window} over -the digits of $a$ of length $b$. The head of the sliding window is at $i$ (\textit{the leading digit}) and the tail at $j$ (\textit{the trailing digit}). -The loop on step 7 copies the digit from the tail to the head. In each iteration the window is moved down one digit. The last loop on +the digits of $a$ of length $b$. The head of the sliding window is at $i$ (\textit{the leading digit}) and the tail at $j$ (\textit{the trailing digit}). +The loop on step 7 copies the digit from the tail to the head. In each iteration the window is moved down one digit. The last loop on step 8 sets the lower $b$ digits to zero. \newpage @@ -2082,14 +2071,14 @@ FIGU,sliding_window,Sliding Window Movement EXAM,bn_mp_lshd.c The if statement (line @24,if@) ensures that the $b$ variable is greater than zero since we do not interpret negative -shift counts properly. The \textbf{used} count is incremented by $b$ before the copy loop begins. This elminates +shift counts properly. The \textbf{used} count is incremented by $b$ before the copy loop begins. This elminates the need for an additional variable in the for loop. The variable $top$ (line @42,top@) is an alias -for the leading digit while $bottom$ (line @45,bottom@) is an alias for the trailing edge. The aliases form a -window of exactly $b$ digits over the input. +for the leading digit while $bottom$ (line @45,bottom@) is an alias for the trailing edge. The aliases form a +window of exactly $b$ digits over the input. \subsection{Division by $x$} -Division by powers of $x$ is easily achieved by shifting the digits right and removing any that will end up to the right of the zero'th digit. +Division by powers of $x$ is easily achieved by shifting the digits right and removing any that will end up to the right of the zero'th digit. \newpage\begin{figure}[!here] \begin{small} @@ -2122,13 +2111,13 @@ Division by powers of $x$ is easily achieved by shifting the digits right and re \textbf{Algorithm mp\_rshd.} This algorithm divides the input in place by the $b$'th power of $x$. It is analogous to dividing by a $\beta^b$ but much quicker since -it does not require single precision division. This algorithm does not actually return an error code as it cannot fail. +it does not require single precision division. This algorithm does not actually return an error code as it cannot fail. If the input $b$ is less than one the algorithm quickly returns without performing any work. If the \textbf{used} count is less than or equal to the shift count $b$ then it will simply zero the input and return. After the trivial cases of inputs have been handled the sliding window is setup. Much like the case of algorithm mp\_lshd a sliding window that -is $b$ digits wide is used to copy the digits. Unlike mp\_lshd the window slides in the opposite direction from the trailing to the leading digit. +is $b$ digits wide is used to copy the digits. Unlike mp\_lshd the window slides in the opposite direction from the trailing to the leading digit. Also the digits are copied from the leading to the trailing edge. Once the window copy is complete the upper digits must be zeroed and the \textbf{used} count decremented. @@ -2141,9 +2130,9 @@ the upper digits of the input to make sure the result is correct. \section{Powers of Two} -Now that algorithms for moving single bits as well as whole digits exist algorithms for moving the ``in between'' distances are required. For +Now that algorithms for moving single bits as well as whole digits exist algorithms for moving the ``in between'' distances are required. For example, to quickly multiply by $2^k$ for any $k$ without using a full multiplier algorithm would prove useful. Instead of performing single -shifts $k$ times to achieve a multiplication by $2^{\pm k}$ a mixture of whole digit shifting and partial digit shifting is employed. +shifts $k$ times to achieve a multiplication by $2^{\pm k}$ a mixture of whole digit shifting and partial digit shifting is employed. \subsection{Multiplication by Power of Two} @@ -2184,29 +2173,29 @@ shifts $k$ times to achieve a multiplication by $2^{\pm k}$ a mixture of whole d This algorithm multiplies $a$ by $2^b$ and stores the result in $c$. The algorithm uses algorithm mp\_lshd and a derivative of algorithm mp\_mul\_2 to quickly compute the product. -First the algorithm will multiply $a$ by $x^{\lfloor b / lg(\beta) \rfloor}$ which will ensure that the remainder multiplicand is less than -$\beta$. For example, if $b = 37$ and $\beta = 2^{28}$ then this step will multiply by $x$ leaving a multiplication by $2^{37 - 28} = 2^{9}$ +First the algorithm will multiply $a$ by $x^{\lfloor b / lg(\beta) \rfloor}$ which will ensure that the remainder multiplicand is less than +$\beta$. For example, if $b = 37$ and $\beta = 2^{28}$ then this step will multiply by $x$ leaving a multiplication by $2^{37 - 28} = 2^{9}$ left. -After the digits have been shifted appropriately at most $lg(\beta) - 1$ shifts are left to perform. Step 5 calculates the number of remaining shifts -required. If it is non-zero a modified shift loop is used to calculate the remaining product. +After the digits have been shifted appropriately at most $lg(\beta) - 1$ shifts are left to perform. Step 5 calculates the number of remaining shifts +required. If it is non-zero a modified shift loop is used to calculate the remaining product. Essentially the loop is a generic version of algorithm mp\_mul\_2 designed to handle any shift count in the range $1 \le x < lg(\beta)$. The $mask$ -variable is used to extract the upper $d$ bits to form the carry for the next iteration. +variable is used to extract the upper $d$ bits to form the carry for the next iteration. -This algorithm is loosely measured as a $O(2n)$ algorithm which means that if the input is $n$-digits that it takes $2n$ ``time'' to +This algorithm is loosely measured as a $O(2n)$ algorithm which means that if the input is $n$-digits that it takes $2n$ ``time'' to complete. It is possible to optimize this algorithm down to a $O(n)$ algorithm at a cost of making the algorithm slightly harder to follow. EXAM,bn_mp_mul_2d.c -The shifting is performed in--place which means the first step (line @24,a != c@) is to copy the input to the +The shifting is performed in--place which means the first step (line @24,a != c@) is to copy the input to the destination. We avoid calling mp\_copy() by making sure the mp\_ints are different. The destination then has to be grown (line @31,grow@) to accomodate the result. -If the shift count $b$ is larger than $lg(\beta)$ then a call to mp\_lshd() is used to handle all of the multiples -of $lg(\beta)$. Leaving only a remaining shift of $lg(\beta) - 1$ or fewer bits left. Inside the actual shift +If the shift count $b$ is larger than $lg(\beta)$ then a call to mp\_lshd() is used to handle all of the multiples +of $lg(\beta)$. Leaving only a remaining shift of $lg(\beta) - 1$ or fewer bits left. Inside the actual shift loop (lines @45,if@ to @76,}@) we make use of pre--computed values $shift$ and $mask$. These are used to -extract the carry bit(s) to pass into the next iteration of the loop. The $r$ and $rr$ variables form a -chain between consecutive iterations to propagate the carry. +extract the carry bit(s) to pass into the next iteration of the loop. The $r$ and $rr$ variables form a +chain between consecutive iterations to propagate the carry. \subsection{Division by Power of Two} @@ -2244,14 +2233,14 @@ chain between consecutive iterations to propagate the carry. \end{figure} \textbf{Algorithm mp\_div\_2d.} -This algorithm will divide an input $a$ by $2^b$ and produce the quotient and remainder. The algorithm is designed much like algorithm +This algorithm will divide an input $a$ by $2^b$ and produce the quotient and remainder. The algorithm is designed much like algorithm mp\_mul\_2d by first using whole digit shifts then single precision shifts. This algorithm will also produce the remainder of the division by using algorithm mp\_mod\_2d. EXAM,bn_mp_div_2d.c -The implementation of algorithm mp\_div\_2d is slightly different than the algorithm specifies. The remainder $d$ may be optionally -ignored by passing \textbf{NULL} as the pointer to the mp\_int variable. The temporary mp\_int variable $t$ is used to hold the +The implementation of algorithm mp\_div\_2d is slightly different than the algorithm specifies. The remainder $d$ may be optionally +ignored by passing \textbf{NULL} as the pointer to the mp\_int variable. The temporary mp\_int variable $t$ is used to hold the result of the remainder operation until the end. This allows $d$ and $a$ to represent the same mp\_int without modifying $a$ before the quotient is obtained. @@ -2261,7 +2250,7 @@ the direction of the shifts. \subsection{Remainder of Division by Power of Two} The last algorithm in the series of polynomial basis power of two algorithms is calculating the remainder of division by $2^b$. This -algorithm benefits from the fact that in twos complement arithmetic $a \mbox{ (mod }2^b\mbox{)}$ is the same as $a$ AND $2^b - 1$. +algorithm benefits from the fact that in twos complement arithmetic $a \mbox{ (mod }2^b\mbox{)}$ is the same as $a$ AND $2^b - 1$. \begin{figure}[!here] \begin{small} @@ -2293,8 +2282,8 @@ algorithm benefits from the fact that in twos complement arithmetic $a \mbox{ (m \end{figure} \textbf{Algorithm mp\_mod\_2d.} -This algorithm will quickly calculate the value of $a \mbox{ (mod }2^b\mbox{)}$. First if $b$ is less than or equal to zero the -result is set to zero. If $b$ is greater than the number of bits in $a$ then it simply copies $a$ to $c$ and returns. Otherwise, $a$ +This algorithm will quickly calculate the value of $a \mbox{ (mod }2^b\mbox{)}$. First if $b$ is less than or equal to zero the +result is set to zero. If $b$ is greater than the number of bits in $a$ then it simply copies $a$ to $c$ and returns. Otherwise, $a$ is copied to $b$, leading digits are removed and the remaining leading digit is trimed to the exact bit count. EXAM,bn_mp_mod_2d.c @@ -2303,8 +2292,8 @@ We first avoid cases of $b \le 0$ by simply mp\_zero()'ing the destination in su than the input we just mp\_copy() the input and return right away. After this point we know we must actually perform some work to produce the remainder. -Recalling that reducing modulo $2^k$ and a binary ``and'' with $2^k - 1$ are numerically equivalent we can quickly reduce -the number. First we zero any digits above the last digit in $2^b$ (line @41,for@). Next we reduce the +Recalling that reducing modulo $2^k$ and a binary ``and'' with $2^k - 1$ are numerically equivalent we can quickly reduce +the number. First we zero any digits above the last digit in $2^b$ (line @41,for@). Next we reduce the leading digit of both (line @45,&=@) and then mp\_clamp(). \section*{Exercises} @@ -2338,40 +2327,40 @@ $\left [ 2 \right ] $ & Using only algorithms mp\_abs and mp\_sub devise another \chapter{Multiplication and Squaring} \section{The Multipliers} -For most number theoretic problems including certain public key cryptographic algorithms, the ``multipliers'' form the most important subset of -algorithms of any multiple precision integer package. The set of multiplier algorithms include integer multiplication, squaring and modular reduction -where in each of the algorithms single precision multiplication is the dominant operation performed. This chapter will discuss integer multiplication -and squaring, leaving modular reductions for the subsequent chapter. +For most number theoretic problems including certain public key cryptographic algorithms, the ``multipliers'' form the most important subset of +algorithms of any multiple precision integer package. The set of multiplier algorithms include integer multiplication, squaring and modular reduction +where in each of the algorithms single precision multiplication is the dominant operation performed. This chapter will discuss integer multiplication +and squaring, leaving modular reductions for the subsequent chapter. -The importance of the multiplier algorithms is for the most part driven by the fact that certain popular public key algorithms are based on modular +The importance of the multiplier algorithms is for the most part driven by the fact that certain popular public key algorithms are based on modular exponentiation, that is computing $d \equiv a^b \mbox{ (mod }c\mbox{)}$ for some arbitrary choice of $a$, $b$, $c$ and $d$. During a modular -exponentiation the majority\footnote{Roughly speaking a modular exponentiation will spend about 40\% of the time performing modular reductions, -35\% of the time performing squaring and 25\% of the time performing multiplications.} of the processor time is spent performing single precision +exponentiation the majority\footnote{Roughly speaking a modular exponentiation will spend about 40\% of the time performing modular reductions, +35\% of the time performing squaring and 25\% of the time performing multiplications.} of the processor time is spent performing single precision multiplications. -For centuries general purpose multiplication has required a lengthly $O(n^2)$ process, whereby each digit of one multiplicand has to be multiplied -against every digit of the other multiplicand. Traditional long-hand multiplication is based on this process; while the techniques can differ the -overall algorithm used is essentially the same. Only ``recently'' have faster algorithms been studied. First Karatsuba multiplication was discovered in -1962. This algorithm can multiply two numbers with considerably fewer single precision multiplications when compared to the long-hand approach. -This technique led to the discovery of polynomial basis algorithms (\textit{good reference?}) and subquently Fourier Transform based solutions. +For centuries general purpose multiplication has required a lengthly $O(n^2)$ process, whereby each digit of one multiplicand has to be multiplied +against every digit of the other multiplicand. Traditional long-hand multiplication is based on this process; while the techniques can differ the +overall algorithm used is essentially the same. Only ``recently'' have faster algorithms been studied. First Karatsuba multiplication was discovered in +1962. This algorithm can multiply two numbers with considerably fewer single precision multiplications when compared to the long-hand approach. +This technique led to the discovery of polynomial basis algorithms (\textit{good reference?}) and subquently Fourier Transform based solutions. \section{Multiplication} \subsection{The Baseline Multiplication} \label{sec:basemult} \index{baseline multiplication} Computing the product of two integers in software can be achieved using a trivial adaptation of the standard $O(n^2)$ long-hand multiplication -algorithm that school children are taught. The algorithm is considered an $O(n^2)$ algorithm since for two $n$-digit inputs $n^2$ single precision -multiplications are required. More specifically for a $m$ and $n$ digit input $m \cdot n$ single precision multiplications are required. To -simplify most discussions, it will be assumed that the inputs have comparable number of digits. - -The ``baseline multiplication'' algorithm is designed to act as the ``catch-all'' algorithm, only to be used when the faster algorithms cannot be -used. This algorithm does not use any particularly interesting optimizations and should ideally be avoided if possible. One important -facet of this algorithm, is that it has been modified to only produce a certain amount of output digits as resolution. The importance of this -modification will become evident during the discussion of Barrett modular reduction. Recall that for a $n$ and $m$ digit input the product -will be at most $n + m$ digits. Therefore, this algorithm can be reduced to a full multiplier by having it produce $n + m$ digits of the product. - -Recall from ~GAMMA~ the definition of $\gamma$ as the number of bits in the type \textbf{mp\_digit}. We shall now extend the variable set to -include $\alpha$ which shall represent the number of bits in the type \textbf{mp\_word}. This implies that $2^{\alpha} > 2 \cdot \beta^2$. The +algorithm that school children are taught. The algorithm is considered an $O(n^2)$ algorithm since for two $n$-digit inputs $n^2$ single precision +multiplications are required. More specifically for a $m$ and $n$ digit input $m \cdot n$ single precision multiplications are required. To +simplify most discussions, it will be assumed that the inputs have comparable number of digits. + +The ``baseline multiplication'' algorithm is designed to act as the ``catch-all'' algorithm, only to be used when the faster algorithms cannot be +used. This algorithm does not use any particularly interesting optimizations and should ideally be avoided if possible. One important +facet of this algorithm, is that it has been modified to only produce a certain amount of output digits as resolution. The importance of this +modification will become evident during the discussion of Barrett modular reduction. Recall that for a $n$ and $m$ digit input the product +will be at most $n + m$ digits. Therefore, this algorithm can be reduced to a full multiplier by having it produce $n + m$ digits of the product. + +Recall from ~GAMMA~ the definition of $\gamma$ as the number of bits in the type \textbf{mp\_digit}. We shall now extend the variable set to +include $\alpha$ which shall represent the number of bits in the type \textbf{mp\_word}. This implies that $2^{\alpha} > 2 \cdot \beta^2$. The constant $\delta = 2^{\alpha - 2lg(\beta)}$ will represent the maximal weight of any column in a product (\textit{see ~COMBA~ for more information}). \newpage\begin{figure}[!here] @@ -2415,20 +2404,20 @@ Compute the product. \\ \textbf{Algorithm s\_mp\_mul\_digs.} This algorithm computes the unsigned product of two inputs $a$ and $b$, limited to an output precision of $digs$ digits. While it may seem -a bit awkward to modify the function from its simple $O(n^2)$ description, the usefulness of partial multipliers will arise in a subsequent -algorithm. The algorithm is loosely based on algorithm 14.12 from \cite[pp. 595]{HAC} and is similar to Algorithm M of Knuth \cite[pp. 268]{TAOCPV2}. -Algorithm s\_mp\_mul\_digs differs from these cited references since it can produce a variable output precision regardless of the precision of the +a bit awkward to modify the function from its simple $O(n^2)$ description, the usefulness of partial multipliers will arise in a subsequent +algorithm. The algorithm is loosely based on algorithm 14.12 from \cite[pp. 595]{HAC} and is similar to Algorithm M of Knuth \cite[pp. 268]{TAOCPV2}. +Algorithm s\_mp\_mul\_digs differs from these cited references since it can produce a variable output precision regardless of the precision of the inputs. The first thing this algorithm checks for is whether a Comba multiplier can be used instead. If the minimum digit count of either -input is less than $\delta$, then the Comba method may be used instead. After the Comba method is ruled out, the baseline algorithm begins. A -temporary mp\_int variable $t$ is used to hold the intermediate result of the product. This allows the algorithm to be used to -compute products when either $a = c$ or $b = c$ without overwriting the inputs. +input is less than $\delta$, then the Comba method may be used instead. After the Comba method is ruled out, the baseline algorithm begins. A +temporary mp\_int variable $t$ is used to hold the intermediate result of the product. This allows the algorithm to be used to +compute products when either $a = c$ or $b = c$ without overwriting the inputs. All of step 5 is the infamous $O(n^2)$ multiplication loop slightly modified to only produce upto $digs$ digits of output. The $pb$ variable is given the count of digits to read from $b$ inside the nested loop. If $pb \le 1$ then no more output digits can be produced and the algorithm -will exit the loop. The best way to think of the loops are as a series of $pb \times 1$ multiplications. That is, in each pass of the -innermost loop $a_{ix}$ is multiplied against $b$ and the result is added (\textit{with an appropriate shift}) to $t$. +will exit the loop. The best way to think of the loops are as a series of $pb \times 1$ multiplications. That is, in each pass of the +innermost loop $a_{ix}$ is multiplied against $b$ and the result is added (\textit{with an appropriate shift}) to $t$. For example, consider multiplying $576$ by $241$. That is equivalent to computing $10^0(1)(576) + 10^1(4)(576) + 10^2(2)(576)$ which is best visualized in the following table. @@ -2442,20 +2431,20 @@ visualized in the following table. && & 5 & 7 & 6 & $10^0(1)(576)$ \\ &2 & 3 & 6 & 1 & 6 & $10^1(4)(576) + 10^0(1)(576)$ \\ 1 & 3 & 8 & 8 & 1 & 6 & $10^2(2)(576) + 10^1(4)(576) + 10^0(1)(576)$ \\ -\hline +\hline \end{tabular} \end{center} \caption{Long-Hand Multiplication Diagram} \end{figure} -Each row of the product is added to the result after being shifted to the left (\textit{multiplied by a power of the radix}) by the appropriate +Each row of the product is added to the result after being shifted to the left (\textit{multiplied by a power of the radix}) by the appropriate count. That is in pass $ix$ of the inner loop the product is added starting at the $ix$'th digit of the reult. Step 5.4.1 introduces the hat symbol (\textit{e.g. $\hat r$}) which represents a double precision variable. The multiplication on that step is assumed to be a double wide output single precision multiplication. That is, two single precision variables are multiplied to produce a double precision result. The step is somewhat optimized from a long-hand multiplication algorithm because the carry from the addition in step -5.4.1 is propagated through the nested loop. If the carry was not propagated immediately it would overflow the single precision digit -$t_{ix+iy}$ and the result would be lost. +5.4.1 is propagated through the nested loop. If the carry was not propagated immediately it would overflow the single precision digit +$t_{ix+iy}$ and the result would be lost. At step 5.5 the nested loop is finished and any carry that was left over should be forwarded. The carry does not have to be added to the $ix+pb$'th digit since that digit is assumed to be zero at this point. However, if $ix + pb \ge digs$ the carry is not set as it would make the result @@ -2463,53 +2452,53 @@ exceed the precision requested. EXAM,bn_s_mp_mul_digs.c -First we determine (line @30,if@) if the Comba method can be used first since it's faster. The conditions for -sing the Comba routine are that min$(a.used, b.used) < \delta$ and the number of digits of output is less than -\textbf{MP\_WARRAY}. This new constant is used to control the stack usage in the Comba routines. By default it is +First we determine (line @30,if@) if the Comba method can be used first since it's faster. The conditions for +sing the Comba routine are that min$(a.used, b.used) < \delta$ and the number of digits of output is less than +\textbf{MP\_WARRAY}. This new constant is used to control the stack usage in the Comba routines. By default it is set to $\delta$ but can be reduced when memory is at a premium. If we cannot use the Comba method we proceed to setup the baseline routine. We allocate the the destination mp\_int -$t$ (line @36,init@) to the exact size of the output to avoid further re--allocations. At this point we now +$t$ (line @36,init@) to the exact size of the output to avoid further re--allocations. At this point we now begin the $O(n^2)$ loop. This implementation of multiplication has the caveat that it can be trimmed to only produce a variable number of -digits as output. In each iteration of the outer loop the $pb$ variable is set (line @48,MIN@) to the maximum -number of inner loop iterations. +digits as output. In each iteration of the outer loop the $pb$ variable is set (line @48,MIN@) to the maximum +number of inner loop iterations. Inside the inner loop we calculate $\hat r$ as the mp\_word product of the two mp\_digits and the addition of the -carry from the previous iteration. A particularly important observation is that most modern optimizing -C compilers (GCC for instance) can recognize that a $N \times N \rightarrow 2N$ multiplication is all that +carry from the previous iteration. A particularly important observation is that most modern optimizing +C compilers (GCC for instance) can recognize that a $N \times N \rightarrow 2N$ multiplication is all that is required for the product. In x86 terms for example, this means using the MUL instruction. -Each digit of the product is stored in turn (line @68,tmpt@) and the carry propagated (line @71,>>@) to the +Each digit of the product is stored in turn (line @68,tmpt@) and the carry propagated (line @71,>>@) to the next iteration. \subsection{Faster Multiplication by the ``Comba'' Method} MARK,COMBA -One of the huge drawbacks of the ``baseline'' algorithms is that at the $O(n^2)$ level the carry must be -computed and propagated upwards. This makes the nested loop very sequential and hard to unroll and implement -in parallel. The ``Comba'' \cite{COMBA} method is named after little known (\textit{in cryptographic venues}) Paul G. -Comba who described a method of implementing fast multipliers that do not require nested carry fixup operations. As an -interesting aside it seems that Paul Barrett describes a similar technique in his 1986 paper \cite{BARRETT} written +One of the huge drawbacks of the ``baseline'' algorithms is that at the $O(n^2)$ level the carry must be +computed and propagated upwards. This makes the nested loop very sequential and hard to unroll and implement +in parallel. The ``Comba'' \cite{COMBA} method is named after little known (\textit{in cryptographic venues}) Paul G. +Comba who described a method of implementing fast multipliers that do not require nested carry fixup operations. As an +interesting aside it seems that Paul Barrett describes a similar technique in his 1986 paper \cite{BARRETT} written five years before. -At the heart of the Comba technique is once again the long-hand algorithm. Except in this case a slight -twist is placed on how the columns of the result are produced. In the standard long-hand algorithm rows of products -are produced then added together to form the final result. In the baseline algorithm the columns are added together -after each iteration to get the result instantaneously. +At the heart of the Comba technique is once again the long-hand algorithm. Except in this case a slight +twist is placed on how the columns of the result are produced. In the standard long-hand algorithm rows of products +are produced then added together to form the final result. In the baseline algorithm the columns are added together +after each iteration to get the result instantaneously. -In the Comba algorithm the columns of the result are produced entirely independently of each other. That is at -the $O(n^2)$ level a simple multiplication and addition step is performed. The carries of the columns are propagated -after the nested loop to reduce the amount of work requiored. Succintly the first step of the algorithm is to compute -the product vector $\vec x$ as follows. +In the Comba algorithm the columns of the result are produced entirely independently of each other. That is at +the $O(n^2)$ level a simple multiplication and addition step is performed. The carries of the columns are propagated +after the nested loop to reduce the amount of work requiored. Succintly the first step of the algorithm is to compute +the product vector $\vec x$ as follows. \begin{equation} \vec x_n = \sum_{i+j = n} a_ib_j, \forall n \in \lbrace 0, 1, 2, \ldots, i + j \rbrace \end{equation} Where $\vec x_n$ is the $n'th$ column of the output vector. Consider the following example which computes the vector $\vec x$ for the multiplication -of $576$ and $241$. +of $576$ and $241$. \newpage\begin{figure}[here] \begin{small} @@ -2520,15 +2509,15 @@ of $576$ and $241$. \hline & & $1 \cdot 5 = 5$ & $1 \cdot 7 = 7$ & $1 \cdot 6 = 6$ & First pass \\ & $4 \cdot 5 = 20$ & $4 \cdot 7+5=33$ & $4 \cdot 6+7=31$ & 6 & Second pass \\ $2 \cdot 5 = 10$ & $2 \cdot 7 + 20 = 34$ & $2 \cdot 6+33=45$ & 31 & 6 & Third pass \\ -\hline 10 & 34 & 45 & 31 & 6 & Final Result \\ -\hline +\hline 10 & 34 & 45 & 31 & 6 & Final Result \\ +\hline \end{tabular} \end{center} \end{small} \caption{Comba Multiplication Diagram} \end{figure} -At this point the vector $x = \left < 10, 34, 45, 31, 6 \right >$ is the result of the first step of the Comba multipler. +At this point the vector $x = \left < 10, 34, 45, 31, 6 \right >$ is the result of the first step of the Comba multipler. Now the columns must be fixed by propagating the carry upwards. The resultant vector will have one extra dimension over the input vector which is congruent to adding a leading zero digit. @@ -2551,16 +2540,16 @@ congruent to adding a leading zero digit. \caption{Algorithm Comba Fixup} \end{figure} -With that algorithm and $k = 5$ and $\beta = 10$ the following vector is produced $\vec x= \left < 1, 3, 8, 8, 1, 6 \right >$. In this case +With that algorithm and $k = 5$ and $\beta = 10$ the following vector is produced $\vec x= \left < 1, 3, 8, 8, 1, 6 \right >$. In this case $241 \cdot 576$ is in fact $138816$ and the procedure succeeded. If the algorithm is correct and as will be demonstrated shortly more efficient than the baseline algorithm why not simply always use this algorithm? \subsubsection{Column Weight.} -At the nested $O(n^2)$ level the Comba method adds the product of two single precision variables to each column of the output +At the nested $O(n^2)$ level the Comba method adds the product of two single precision variables to each column of the output independently. A serious obstacle is if the carry is lost, due to lack of precision before the algorithm has a chance to fix the carries. For example, in the multiplication of two three-digit numbers the third column of output will be the sum of three single precision multiplications. If the precision of the accumulator for the output digits is less then $3 \cdot (\beta - 1)^2$ then -an overflow can occur and the carry information will be lost. For any $m$ and $n$ digit inputs the maximum weight of any column is +an overflow can occur and the carry information will be lost. For any $m$ and $n$ digit inputs the maximum weight of any column is min$(m, n)$ which is fairly obvious. The maximum number of terms in any column of a product is known as the ``column weight'' and strictly governs when the algorithm can be used. Recall @@ -2571,7 +2560,7 @@ two quantities we must not violate the following k \cdot \left (\beta - 1 \right )^2 < 2^{\alpha} \end{equation} -Which reduces to +Which reduces to \begin{equation} k \cdot \left ( \beta^2 - 2\beta + 1 \right ) < 2^{\alpha} @@ -2584,9 +2573,9 @@ found. k < {{2^{\alpha}} \over {\left (2^{2\rho} - 2^{\rho + 1} + 1 \right )}} \end{equation} -The defaults for LibTomMath are $\beta = 2^{28}$ and $\alpha = 2^{64}$ which means that $k$ is bounded by $k < 257$. In this configuration -the smaller input may not have more than $256$ digits if the Comba method is to be used. This is quite satisfactory for most applications since -$256$ digits would allow for numbers in the range of $0 \le x < 2^{7168}$ which, is much larger than most public key cryptographic algorithms require. +The defaults for LibTomMath are $\beta = 2^{28}$ and $\alpha = 2^{64}$ which means that $k$ is bounded by $k < 257$. In this configuration +the smaller input may not have more than $256$ digits if the Comba method is to be used. This is quite satisfactory for most applications since +$256$ digits would allow for numbers in the range of $0 \le x < 2^{7168}$ which, is much larger than most public key cryptographic algorithms require. \newpage\begin{figure}[!here] \begin{small} @@ -2632,74 +2621,74 @@ Place an array of \textbf{MP\_WARRAY} single precision digits named $W$ on the s \textbf{Algorithm fast\_s\_mp\_mul\_digs.} This algorithm performs the unsigned multiplication of $a$ and $b$ using the Comba method limited to $digs$ digits of precision. -The outer loop of this algorithm is more complicated than that of the baseline multiplier. This is because on the inside of the +The outer loop of this algorithm is more complicated than that of the baseline multiplier. This is because on the inside of the loop we want to produce one column per pass. This allows the accumulator $\_ \hat W$ to be placed in CPU registers and reduce the memory bandwidth to two \textbf{mp\_digit} reads per iteration. The $ty$ variable is set to the minimum count of $ix$ or the number of digits in $b$. That way if $a$ has more digits than $b$ this will be limited to $b.used - 1$. The $tx$ variable is set to the to the distance past $b.used$ the variable -$ix$ is. This is used for the immediately subsequent statement where we find $iy$. +$ix$ is. This is used for the immediately subsequent statement where we find $iy$. The variable $iy$ is the minimum digits we can read from either $a$ or $b$ before running out. Computing one column at a time means we have to scan one integer upwards and the other downwards. $a$ starts at $tx$ and $b$ starts at $ty$. In each -pass we are producing the $ix$'th output column and we note that $tx + ty = ix$. As we move $tx$ upwards we have to -move $ty$ downards so the equality remains valid. The $iy$ variable is the number of iterations until +pass we are producing the $ix$'th output column and we note that $tx + ty = ix$. As we move $tx$ upwards we have to +move $ty$ downards so the equality remains valid. The $iy$ variable is the number of iterations until $tx \ge a.used$ or $ty < 0$ occurs. After every inner pass we store the lower half of the accumulator into $W_{ix}$ and then propagate the carry of the accumulator into the next round by dividing $\_ \hat W$ by $\beta$. -To measure the benefits of the Comba method over the baseline method consider the number of operations that are required. If the -cost in terms of time of a multiply and addition is $p$ and the cost of a carry propagation is $q$ then a baseline multiplication would require -$O \left ((p + q)n^2 \right )$ time to multiply two $n$-digit numbers. The Comba method requires only $O(pn^2 + qn)$ time, however in practice, +To measure the benefits of the Comba method over the baseline method consider the number of operations that are required. If the +cost in terms of time of a multiply and addition is $p$ and the cost of a carry propagation is $q$ then a baseline multiplication would require +$O \left ((p + q)n^2 \right )$ time to multiply two $n$-digit numbers. The Comba method requires only $O(pn^2 + qn)$ time, however in practice, the speed increase is actually much more. With $O(n)$ space the algorithm can be reduced to $O(pn + qn)$ time by implementing the $n$ multiply -and addition operations in the nested loop in parallel. +and addition operations in the nested loop in parallel. EXAM,bn_fast_s_mp_mul_digs.c As per the pseudo--code we first calculate $pa$ (line @47,MIN@) as the number of digits to output. Next we begin the outer loop to produce the individual columns of the product. We use the two aliases $tmpx$ and $tmpy$ (lines @61,tmpx@, @62,tmpy@) to point -inside the two multiplicands quickly. - -The inner loop (lines @70,for@ to @72,}@) of this implementation is where the tradeoff come into play. Originally this comba -implementation was ``row--major'' which means it adds to each of the columns in each pass. After the outer loop it would then fix -the carries. This was very fast except it had an annoying drawback. You had to read a mp\_word and two mp\_digits and write -one mp\_word per iteration. On processors such as the Athlon XP and P4 this did not matter much since the cache bandwidth -is very high and it can keep the ALU fed with data. It did, however, matter on older and embedded cpus where cache is often -slower and also often doesn't exist. This new algorithm only performs two reads per iteration under the assumption that the +inside the two multiplicands quickly. + +The inner loop (lines @70,for@ to @72,}@) of this implementation is where the tradeoff come into play. Originally this comba +implementation was ``row--major'' which means it adds to each of the columns in each pass. After the outer loop it would then fix +the carries. This was very fast except it had an annoying drawback. You had to read a mp\_word and two mp\_digits and write +one mp\_word per iteration. On processors such as the Athlon XP and P4 this did not matter much since the cache bandwidth +is very high and it can keep the ALU fed with data. It did, however, matter on older and embedded cpus where cache is often +slower and also often doesn't exist. This new algorithm only performs two reads per iteration under the assumption that the compiler has aliased $\_ \hat W$ to a CPU register. -After the inner loop we store the current accumulator in $W$ and shift $\_ \hat W$ (lines @75,W[ix]@, @78,>>@) to forward it as -a carry for the next pass. After the outer loop we use the final carry (line @82,W[ix]@) as the last digit of the product. +After the inner loop we store the current accumulator in $W$ and shift $\_ \hat W$ (lines @75,W[ix]@, @78,>>@) to forward it as +a carry for the next pass. After the outer loop we use the final carry (line @82,W[ix]@) as the last digit of the product. \subsection{Polynomial Basis Multiplication} To break the $O(n^2)$ barrier in multiplication requires a completely different look at integer multiplication. In the following algorithms -the use of polynomial basis representation for two integers $a$ and $b$ as $f(x) = \sum_{i=0}^{n} a_i x^i$ and +the use of polynomial basis representation for two integers $a$ and $b$ as $f(x) = \sum_{i=0}^{n} a_i x^i$ and $g(x) = \sum_{i=0}^{n} b_i x^i$ respectively, is required. In this system both $f(x)$ and $g(x)$ have $n + 1$ terms and are of the $n$'th degree. - + The product $a \cdot b \equiv f(x)g(x)$ is the polynomial $W(x) = \sum_{i=0}^{2n} w_i x^i$. The coefficients $w_i$ will directly yield the desired product when $\beta$ is substituted for $x$. The direct solution to solve for the $2n + 1$ coefficients requires $O(n^2)$ time and would in practice be slower than the Comba technique. -However, numerical analysis theory indicates that only $2n + 1$ distinct points in $W(x)$ are required to determine the values of the $2n + 1$ unknown -coefficients. This means by finding $\zeta_y = W(y)$ for $2n + 1$ small values of $y$ the coefficients of $W(x)$ can be found with -Gaussian elimination. This technique is also occasionally refered to as the \textit{interpolation technique} (\textit{references please...}) since in -effect an interpolation based on $2n + 1$ points will yield a polynomial equivalent to $W(x)$. +However, numerical analysis theory indicates that only $2n + 1$ distinct points in $W(x)$ are required to determine the values of the $2n + 1$ unknown +coefficients. This means by finding $\zeta_y = W(y)$ for $2n + 1$ small values of $y$ the coefficients of $W(x)$ can be found with +Gaussian elimination. This technique is also occasionally refered to as the \textit{interpolation technique} (\textit{references please...}) since in +effect an interpolation based on $2n + 1$ points will yield a polynomial equivalent to $W(x)$. -The coefficients of the polynomial $W(x)$ are unknown which makes finding $W(y)$ for any value of $y$ impossible. However, since -$W(x) = f(x)g(x)$ the equivalent $\zeta_y = f(y) g(y)$ can be used in its place. The benefit of this technique stems from the -fact that $f(y)$ and $g(y)$ are much smaller than either $a$ or $b$ respectively. As a result finding the $2n + 1$ relations required +The coefficients of the polynomial $W(x)$ are unknown which makes finding $W(y)$ for any value of $y$ impossible. However, since +$W(x) = f(x)g(x)$ the equivalent $\zeta_y = f(y) g(y)$ can be used in its place. The benefit of this technique stems from the +fact that $f(y)$ and $g(y)$ are much smaller than either $a$ or $b$ respectively. As a result finding the $2n + 1$ relations required by multiplying $f(y)g(y)$ involves multiplying integers that are much smaller than either of the inputs. When picking points to gather relations there are always three obvious points to choose, $y = 0, 1$ and $ \infty$. The $\zeta_0$ term -is simply the product $W(0) = w_0 = a_0 \cdot b_0$. The $\zeta_1$ term is the product +is simply the product $W(0) = w_0 = a_0 \cdot b_0$. The $\zeta_1$ term is the product $W(1) = \left (\sum_{i = 0}^{n} a_i \right ) \left (\sum_{i = 0}^{n} b_i \right )$. The third point $\zeta_{\infty}$ is less obvious but rather -simple to explain. The $2n + 1$'th coefficient of $W(x)$ is numerically equivalent to the most significant column in an integer multiplication. -The point at $\infty$ is used symbolically to represent the most significant column, that is $W(\infty) = w_{2n} = a_nb_n$. Note that the +simple to explain. The $2n + 1$'th coefficient of $W(x)$ is numerically equivalent to the most significant column in an integer multiplication. +The point at $\infty$ is used symbolically to represent the most significant column, that is $W(\infty) = w_{2n} = a_nb_n$. Note that the points at $y = 0$ and $\infty$ yield the coefficients $w_0$ and $w_{2n}$ directly. -If more points are required they should be of small values and powers of two such as $2^q$ and the related \textit{mirror points} -$\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ for small values of $q$. The term ``mirror point'' stems from the fact that +If more points are required they should be of small values and powers of two such as $2^q$ and the related \textit{mirror points} +$\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ for small values of $q$. The term ``mirror point'' stems from the fact that $\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ can be calculated in the exact opposite fashion as $\zeta_{2^q}$. For example, when $n = 2$ and $q = 1$ then following two equations are equivalent to the point $\zeta_{2}$ and its mirror. @@ -2709,10 +2698,10 @@ example, when $n = 2$ and $q = 1$ then following two equations are equivalent to \end{eqnarray} Using such points will allow the values of $f(y)$ and $g(y)$ to be independently calculated using only left shifts. For example, when $n = 2$ the -polynomial $f(2^q)$ is equal to $2^q((2^qa_2) + a_1) + a_0$. This technique of polynomial representation is known as Horner's method. +polynomial $f(2^q)$ is equal to $2^q((2^qa_2) + a_1) + a_0$. This technique of polynomial representation is known as Horner's method. -As a general rule of the algorithm when the inputs are split into $n$ parts each there are $2n - 1$ multiplications. Each multiplication is of -multiplicands that have $n$ times fewer digits than the inputs. The asymptotic running time of this algorithm is +As a general rule of the algorithm when the inputs are split into $n$ parts each there are $2n - 1$ multiplications. Each multiplication is of +multiplicands that have $n$ times fewer digits than the inputs. The asymptotic running time of this algorithm is $O \left ( k^{lg_n(2n - 1)} \right )$ for $k$ digit inputs (\textit{assuming they have the same number of digits}). Figure~\ref{fig:exponent} summarizes the exponents for various values of $n$. @@ -2737,23 +2726,23 @@ summarizes the exponents for various values of $n$. At first it may seem like a good idea to choose $n = 1000$ since the exponent is approximately $1.1$. However, the overhead of solving for the 2001 terms of $W(x)$ will certainly consume any savings the algorithm could offer for all but exceedingly large -numbers. +numbers. \subsubsection{Cutoff Point} -The polynomial basis multiplication algorithms all require fewer single precision multiplications than a straight Comba approach. However, +The polynomial basis multiplication algorithms all require fewer single precision multiplications than a straight Comba approach. However, the algorithms incur an overhead (\textit{at the $O(n)$ work level}) since they require a system of equations to be solved. This makes the polynomial basis approach more costly to use with small inputs. -Let $m$ represent the number of digits in the multiplicands (\textit{assume both multiplicands have the same number of digits}). There exists a -point $y$ such that when $m < y$ the polynomial basis algorithms are more costly than Comba, when $m = y$ they are roughly the same cost and -when $m > y$ the Comba methods are slower than the polynomial basis algorithms. +Let $m$ represent the number of digits in the multiplicands (\textit{assume both multiplicands have the same number of digits}). There exists a +point $y$ such that when $m < y$ the polynomial basis algorithms are more costly than Comba, when $m = y$ they are roughly the same cost and +when $m > y$ the Comba methods are slower than the polynomial basis algorithms. The exact location of $y$ depends on several key architectural elements of the computer platform in question. \begin{enumerate} \item The ratio of clock cycles for single precision multiplication versus other simpler operations such as addition, shifting, etc. For example on the AMD Athlon the ratio is roughly $17 : 1$ while on the Intel P4 it is $29 : 1$. The higher the ratio in favour of multiplication the lower -the cutoff point $y$ will be. +the cutoff point $y$ will be. \item The complexity of the linear system of equations (\textit{for the coefficients of $W(x)$}) is. Generally speaking as the number of splits grows the complexity grows substantially. Ideally solving the system will only involve addition, subtraction and shifting of integers. This @@ -2766,11 +2755,11 @@ influence over the cutoff point. A clean cutoff point separation occurs when a point $y$ is found such that all of the cutoff point conditions are met. For example, if the point is too low then there will be values of $m$ such that $m > y$ and the Comba method is still faster. Finding the cutoff points is fairly simple when -a high resolution timer is available. +a high resolution timer is available. \subsection{Karatsuba Multiplication} Karatsuba \cite{KARA} multiplication when originally proposed in 1962 was among the first set of algorithms to break the $O(n^2)$ barrier for -general purpose multiplication. Given two polynomial basis representations $f(x) = ax + b$ and $g(x) = cx + d$, Karatsuba proved with +general purpose multiplication. Given two polynomial basis representations $f(x) = ax + b$ and $g(x) = cx + d$, Karatsuba proved with light algebra \cite{KARAP} that the following polynomial is equivalent to multiplication of the two integers the polynomials represent. \begin{equation} @@ -2778,8 +2767,8 @@ f(x) \cdot g(x) = acx^2 + ((a + b)(c + d) - (ac + bd))x + bd \end{equation} Using the observation that $ac$ and $bd$ could be re-used only three half sized multiplications would be required to produce the product. Applying -this algorithm recursively, the work factor becomes $O(n^{lg(3)})$ which is substantially better than the work factor $O(n^2)$ of the Comba technique. It turns -out what Karatsuba did not know or at least did not publish was that this is simply polynomial basis multiplication with the points +this algorithm recursively, the work factor becomes $O(n^{lg(3)})$ which is substantially better than the work factor $O(n^2)$ of the Comba technique. It turns +out what Karatsuba did not know or at least did not publish was that this is simply polynomial basis multiplication with the points $\zeta_0$, $\zeta_{\infty}$ and $\zeta_{1}$. Consider the resultant system of equations. \begin{center} @@ -2792,7 +2781,7 @@ $\zeta_{\infty}$ & $=$ & $w_2$ & & & & \\ By adding the first and last equation to the equation in the middle the term $w_1$ can be isolated and all three coefficients solved for. The simplicity of this system of equations has made Karatsuba fairly popular. In fact the cutoff point is often fairly low\footnote{With LibTomMath 0.18 it is 70 and 109 digits for the Intel P4 and AMD Athlon respectively.} -making it an ideal algorithm to speed up certain public key cryptosystems such as RSA and Diffie-Hellman. +making it an ideal algorithm to speed up certain public key cryptosystems such as RSA and Diffie-Hellman. \newpage\begin{figure}[!here] \begin{small} @@ -2830,7 +2819,7 @@ Calculate the final product. \\ 18. $c \leftarrow t1 + x1y1$ \\ 19. Clear all of the temporary variables. \\ 20. Return(\textit{MP\_OKAY}).\\ -\hline +\hline \end{tabular} \end{center} \end{small} @@ -2839,13 +2828,13 @@ Calculate the final product. \\ \textbf{Algorithm mp\_karatsuba\_mul.} This algorithm computes the unsigned product of two inputs using the Karatsuba multiplication algorithm. It is loosely based on the description -from Knuth \cite[pp. 294-295]{TAOCPV2}. +from Knuth \cite[pp. 294-295]{TAOCPV2}. \index{radix point} In order to split the two inputs into their respective halves, a suitable \textit{radix point} must be chosen. The radix point chosen must -be used for both of the inputs meaning that it must be smaller than the smallest input. Step 3 chooses the radix point $B$ as half of the -smallest input \textbf{used} count. After the radix point is chosen the inputs are split into lower and upper halves. Step 4 and 5 -compute the lower halves. Step 6 and 7 computer the upper halves. +be used for both of the inputs meaning that it must be smaller than the smallest input. Step 3 chooses the radix point $B$ as half of the +smallest input \textbf{used} count. After the radix point is chosen the inputs are split into lower and upper halves. Step 4 and 5 +compute the lower halves. Step 6 and 7 computer the upper halves. After the halves have been computed the three intermediate half-size products must be computed. Step 8 and 9 compute the trivial products $x0 \cdot y0$ and $x1 \cdot y1$. The mp\_int $x0$ is used as a temporary variable after $x1 + x0$ has been computed. By using $x0$ instead @@ -2857,29 +2846,29 @@ EXAM,bn_mp_karatsuba_mul.c The new coding element in this routine, not seen in previous routines, is the usage of goto statements. The conventional wisdom is that goto statements should be avoided. This is generally true, however when every single function call can fail, it makes sense -to handle error recovery with a single piece of code. Lines @61,if@ to @75,if@ handle initializing all of the temporary variables +to handle error recovery with a single piece of code. Lines @61,if@ to @75,if@ handle initializing all of the temporary variables required. Note how each of the if statements goes to a different label in case of failure. This allows the routine to correctly free only the temporaries that have been successfully allocated so far. -The temporary variables are all initialized using the mp\_init\_size routine since they are expected to be large. This saves the +The temporary variables are all initialized using the mp\_init\_size routine since they are expected to be large. This saves the additional reallocation that would have been necessary. Also $x0$, $x1$, $y0$ and $y1$ have to be able to hold at least their respective number of digits for the next section of code. The first algebraic portion of the algorithm is to split the two inputs into their halves. However, instead of using mp\_mod\_2d and mp\_rshd -to extract the halves, the respective code has been placed inline within the body of the function. To initialize the halves, the \textbf{used} and -\textbf{sign} members are copied first. The first for loop on line @98,for@ copies the lower halves. Since they are both the same magnitude it -is simpler to calculate both lower halves in a single loop. The for loop on lines @104,for@ and @109,for@ calculate the upper halves $x1$ and +to extract the halves, the respective code has been placed inline within the body of the function. To initialize the halves, the \textbf{used} and +\textbf{sign} members are copied first. The first for loop on line @98,for@ copies the lower halves. Since they are both the same magnitude it +is simpler to calculate both lower halves in a single loop. The for loop on lines @104,for@ and @109,for@ calculate the upper halves $x1$ and $y1$ respectively. By inlining the calculation of the halves, the Karatsuba multiplier has a slightly lower overhead and can be used for smaller magnitude inputs. When line @152,err@ is reached, the algorithm has completed succesfully. The ``error status'' variable $err$ is set to \textbf{MP\_OKAY} so that -the same code that handles errors can be used to clear the temporary variables and return. +the same code that handles errors can be used to clear the temporary variables and return. \subsection{Toom-Cook $3$-Way Multiplication} -Toom-Cook $3$-Way \cite{TOOM} multiplication is essentially the polynomial basis algorithm for $n = 2$ except that the points are -chosen such that $\zeta$ is easy to compute and the resulting system of equations easy to reduce. Here, the points $\zeta_{0}$, -$16 \cdot \zeta_{1 \over 2}$, $\zeta_1$, $\zeta_2$ and $\zeta_{\infty}$ make up the five required points to solve for the coefficients +Toom-Cook $3$-Way \cite{TOOM} multiplication is essentially the polynomial basis algorithm for $n = 2$ except that the points are +chosen such that $\zeta$ is easy to compute and the resulting system of equations easy to reduce. Here, the points $\zeta_{0}$, +$16 \cdot \zeta_{1 \over 2}$, $\zeta_1$, $\zeta_2$ and $\zeta_{\infty}$ make up the five required points to solve for the coefficients of the $W(x)$. With the five relations that Toom-Cook specifies, the following system of equations is formed. @@ -2897,7 +2886,7 @@ $\zeta_{\infty}$ & $=$ & $1w_4$ & $+$ & $0w_3$ & $+$ & $0w_2$ & $+$ A trivial solution to this matrix requires $12$ subtractions, two multiplications by a small power of two, two divisions by a small power of two, two divisions by three and one multiplication by three. All of these $19$ sub-operations require less than quadratic time, meaning that the algorithm can be faster than a baseline multiplication. However, the greater complexity of this algorithm places the cutoff point -(\textbf{TOOM\_MUL\_CUTOFF}) where Toom-Cook becomes more efficient much higher than the Karatsuba cutoff point. +(\textbf{TOOM\_MUL\_CUTOFF}) where Toom-Cook becomes more efficient much higher than the Karatsuba cutoff point. \begin{figure}[!here] \begin{small} @@ -2967,7 +2956,7 @@ Now substitute $\beta^k$ for $x$ by shifting $w_0, w_1, ..., w_4$. \\ \end{figure} \textbf{Algorithm mp\_toom\_mul.} -This algorithm computes the product of two mp\_int variables $a$ and $b$ using the Toom-Cook approach. Compared to the Karatsuba multiplication, this +This algorithm computes the product of two mp\_int variables $a$ and $b$ using the Toom-Cook approach. Compared to the Karatsuba multiplication, this algorithm has a lower asymptotic running time of approximately $O(n^{1.464})$ but at an obvious cost in overhead. In this description, several statements have been compounded to save space. The intention is that the statements are executed from left to right across any given step. @@ -2979,34 +2968,34 @@ The first two relations $w_0$ and $w_4$ are the points $\zeta_{0}$ and $\zeta_{\ to the points $16 \cdot \zeta_{1 \over 2}, \zeta_{2}$ and $\zeta_{1}$ respectively. These are found using logical shifts to independently find $f(y)$ and $g(y)$ which significantly speeds up the algorithm. -After the five relations $w_0, w_1, \ldots, w_4$ have been computed, the system they represent must be solved in order for the unknown coefficients +After the five relations $w_0, w_1, \ldots, w_4$ have been computed, the system they represent must be solved in order for the unknown coefficients $w_1, w_2$ and $w_3$ to be isolated. The steps 18 through 25 perform the system reduction required as previously described. Each step of the reduction represents the comparable matrix operation that would be performed had this been performed by pencil. For example, step 18 indicates -that row $1$ must be subtracted from row $4$ and simultaneously row $0$ subtracted from row $3$. +that row $1$ must be subtracted from row $4$ and simultaneously row $0$ subtracted from row $3$. -Once the coeffients have been isolated, the polynomial $W(x) = \sum_{i=0}^{2n} w_i x^i$ is known. By substituting $\beta^{k}$ for $x$, the integer +Once the coeffients have been isolated, the polynomial $W(x) = \sum_{i=0}^{2n} w_i x^i$ is known. By substituting $\beta^{k}$ for $x$, the integer result $a \cdot b$ is produced. EXAM,bn_mp_toom_mul.c -The first obvious thing to note is that this algorithm is complicated. The complexity is worth it if you are multiplying very +The first obvious thing to note is that this algorithm is complicated. The complexity is worth it if you are multiplying very large numbers. For example, a 10,000 digit multiplication takes approximaly 99,282,205 fewer single precision multiplications with Toom--Cook than a Comba or baseline approach (this is a savings of more than 99$\%$). For most ``crypto'' sized numbers this algorithm is not practical as Karatsuba has a much lower cutoff point. -First we split $a$ and $b$ into three roughly equal portions. This has been accomplished (lines @40,mod@ to @69,rshd@) with +First we split $a$ and $b$ into three roughly equal portions. This has been accomplished (lines @40,mod@ to @69,rshd@) with combinations of mp\_rshd() and mp\_mod\_2d() function calls. At this point $a = a2 \cdot \beta^2 + a1 \cdot \beta + a0$ and similiarly -for $b$. +for $b$. Next we compute the five points $w0, w1, w2, w3$ and $w4$. Recall that $w0$ and $w4$ can be computed directly from the portions so we get those out of the way first (lines @72,mul@ and @77,mul@). Next we compute $w1, w2$ and $w3$ using Horners method. After this point we solve for the actual values of $w1, w2$ and $w3$ by reducing the $5 \times 5$ system which is relatively -straight forward. +straight forward. \subsection{Signed Multiplication} Now that algorithms to handle multiplications of every useful dimensions have been developed, a rather simple finishing touch is required. So far all -of the multiplication algorithms have been unsigned multiplications which leaves only a signed multiplication algorithm to be established. +of the multiplication algorithms have been unsigned multiplications which leaves only a signed multiplication algorithm to be established. \begin{figure}[!here] \begin{small} @@ -3040,24 +3029,24 @@ of the multiplication algorithms have been unsigned multiplications which leaves \end{figure} \textbf{Algorithm mp\_mul.} -This algorithm performs the signed multiplication of two inputs. It will make use of any of the three unsigned multiplication algorithms +This algorithm performs the signed multiplication of two inputs. It will make use of any of the three unsigned multiplication algorithms available when the input is of appropriate size. The \textbf{sign} of the result is not set until the end of the algorithm since algorithm -s\_mp\_mul\_digs will clear it. +s\_mp\_mul\_digs will clear it. EXAM,bn_mp_mul.c -The implementation is rather simplistic and is not particularly noteworthy. Line @22,?@ computes the sign of the result using the ``?'' -operator from the C programming language. Line @37,<<@ computes $\delta$ using the fact that $1 << k$ is equal to $2^k$. +The implementation is rather simplistic and is not particularly noteworthy. Line @22,?@ computes the sign of the result using the ``?'' +operator from the C programming language. Line @37,<<@ computes $\delta$ using the fact that $1 << k$ is equal to $2^k$. \section{Squaring} \label{sec:basesquare} Squaring is a special case of multiplication where both multiplicands are equal. At first it may seem like there is no significant optimization available but in fact there is. Consider the multiplication of $576$ against $241$. In total there will be nine single precision multiplications -performed which are $1\cdot 6$, $1 \cdot 7$, $1 \cdot 5$, $4 \cdot 6$, $4 \cdot 7$, $4 \cdot 5$, $2 \cdot 6$, $2 \cdot 7$ and $2 \cdot 5$. Now consider -the multiplication of $123$ against $123$. The nine products are $3 \cdot 3$, $3 \cdot 2$, $3 \cdot 1$, $2 \cdot 3$, $2 \cdot 2$, $2 \cdot 1$, -$1 \cdot 3$, $1 \cdot 2$ and $1 \cdot 1$. On closer inspection some of the products are equivalent. For example, $3 \cdot 2 = 2 \cdot 3$ -and $3 \cdot 1 = 1 \cdot 3$. +performed which are $1\cdot 6$, $1 \cdot 7$, $1 \cdot 5$, $4 \cdot 6$, $4 \cdot 7$, $4 \cdot 5$, $2 \cdot 6$, $2 \cdot 7$ and $2 \cdot 5$. Now consider +the multiplication of $123$ against $123$. The nine products are $3 \cdot 3$, $3 \cdot 2$, $3 \cdot 1$, $2 \cdot 3$, $2 \cdot 2$, $2 \cdot 1$, +$1 \cdot 3$, $1 \cdot 2$ and $1 \cdot 1$. On closer inspection some of the products are equivalent. For example, $3 \cdot 2 = 2 \cdot 3$ +and $3 \cdot 1 = 1 \cdot 3$. For any $n$-digit input, there are ${{\left (n^2 + n \right)}\over 2}$ possible unique single precision multiplications required compared to the $n^2$ required for multiplication. The following diagram gives an example of the operations required. @@ -3077,19 +3066,19 @@ $\times$ &&1&2&3&\\ MARK,SQUARE Starting from zero and numbering the columns from right to left a very simple pattern becomes obvious. For the purposes of this discussion let $x$ -represent the number being squared. The first observation is that in row $k$ the $2k$'th column of the product has a $\left (x_k \right)^2$ term in it. +represent the number being squared. The first observation is that in row $k$ the $2k$'th column of the product has a $\left (x_k \right)^2$ term in it. The second observation is that every column $j$ in row $k$ where $j \ne 2k$ is part of a double product. Every non-square term of a column will -appear twice hence the name ``double product''. Every odd column is made up entirely of double products. In fact every column is made up of double -products and at most one square (\textit{see the exercise section}). +appear twice hence the name ``double product''. Every odd column is made up entirely of double products. In fact every column is made up of double +products and at most one square (\textit{see the exercise section}). -The third and final observation is that for row $k$ the first unique non-square term, that is, one that hasn't already appeared in an earlier row, -occurs at column $2k + 1$. For example, on row $1$ of the previous squaring, column one is part of the double product with column one from row zero. +The third and final observation is that for row $k$ the first unique non-square term, that is, one that hasn't already appeared in an earlier row, +occurs at column $2k + 1$. For example, on row $1$ of the previous squaring, column one is part of the double product with column one from row zero. Column two of row one is a square and column three is the first unique column. \subsection{The Baseline Squaring Algorithm} The baseline squaring algorithm is meant to be a catch-all squaring algorithm. It will handle any of the input sizes that the faster routines -will not handle. +will not handle. \begin{figure}[!here] \begin{small} @@ -3131,30 +3120,30 @@ will not handle. \textbf{Algorithm s\_mp\_sqr.} This algorithm computes the square of an input using the three observations on squaring. It is based fairly faithfully on algorithm 14.16 of HAC -\cite[pp.596-597]{HAC}. Similar to algorithm s\_mp\_mul\_digs, a temporary mp\_int is allocated to hold the result of the squaring. This allows the +\cite[pp.596-597]{HAC}. Similar to algorithm s\_mp\_mul\_digs, a temporary mp\_int is allocated to hold the result of the squaring. This allows the destination mp\_int to be the same as the source mp\_int. The outer loop of this algorithm begins on step 4. It is best to think of the outer loop as walking down the rows of the partial results, while the inner loop computes the columns of the partial result. Step 4.1 and 4.2 compute the square term for each row, and step 4.3 and 4.4 propagate -the carry and compute the double products. +the carry and compute the double products. The requirement that a mp\_word be able to represent the range $0 \le x < 2 \beta^2$ arises from this very algorithm. The product $a_{ix}a_{iy}$ will lie in the range $0 \le x \le \beta^2 - 2\beta + 1$ which is obviously less than $\beta^2$ meaning that when it is multiplied by two, it can be properly represented by a mp\_word. -Similar to algorithm s\_mp\_mul\_digs, after every pass of the inner loop, the destination is correctly set to the sum of all of the partial -results calculated so far. This involves expensive carry propagation which will be eliminated in the next algorithm. +Similar to algorithm s\_mp\_mul\_digs, after every pass of the inner loop, the destination is correctly set to the sum of all of the partial +results calculated so far. This involves expensive carry propagation which will be eliminated in the next algorithm. EXAM,bn_s_mp_sqr.c Inside the outer loop (line @32,for@) the square term is calculated on line @35,r =@. The carry (line @42,>>@) has been -extracted from the mp\_word accumulator using a right shift. Aliases for $a_{ix}$ and $t_{ix+iy}$ are initialized +extracted from the mp\_word accumulator using a right shift. Aliases for $a_{ix}$ and $t_{ix+iy}$ are initialized (lines @45,tmpx@ and @48,tmpt@) to simplify the inner loop. The doubling is performed using two -additions (line @57,r + r@) since it is usually faster than shifting, if not at least as fast. +additions (line @57,r + r@) since it is usually faster than shifting, if not at least as fast. The important observation is that the inner loop does not begin at $iy = 0$ like for multiplication. As such the inner loops get progressively shorter as the algorithm proceeds. This is what leads to the savings compared to using a multiplication to -square a number. +square a number. \subsection{Faster Squaring by the ``Comba'' Method} A major drawback to the baseline method is the requirement for single precision shifting inside the $O(n^2)$ nested loop. Squaring has an additional @@ -3164,10 +3153,10 @@ performance hazards. The first obvious solution is to make an array of mp\_words which will hold all of the columns. This will indeed eliminate all of the carry propagation operations from the inner loop. However, the inner product must still be doubled $O(n^2)$ times. The solution stems from the simple fact that $2a + 2b + 2c = 2(a + b + c)$. That is the sum of all of the double products is equal to double the sum of all the products. For example, -$ab + ba + ac + ca = 2ab + 2ac = 2(ab + ac)$. +$ab + ba + ac + ca = 2ab + 2ac = 2(ab + ac)$. -However, we cannot simply double all of the columns, since the squares appear only once per row. The most practical solution is to have two -mp\_word arrays. One array will hold the squares and the other array will hold the double products. With both arrays the doubling and +However, we cannot simply double all of the columns, since the squares appear only once per row. The most practical solution is to have two +mp\_word arrays. One array will hold the squares and the other array will hold the double products. With both arrays the doubling and carry propagation can be moved to a $O(n)$ work level outside the $O(n^2)$ level. In this case, we have an even simpler solution in mind. \newpage\begin{figure}[!here] @@ -3205,7 +3194,7 @@ Place an array of \textbf{MP\_WARRAY} mp\_digits named $W$ on the stack. \\ 9. for $ix$ from $pa$ to $oldused - 1$ do \\ \hspace{3mm}9.1 $b_{ix} \leftarrow 0$ \\ 10. Clamp excess digits from $b$. (\textit{mp\_clamp}) \\ -11. Return(\textit{MP\_OKAY}). \\ +11. Return(\textit{MP\_OKAY}). \\ \hline \end{tabular} \end{center} @@ -3214,8 +3203,8 @@ Place an array of \textbf{MP\_WARRAY} mp\_digits named $W$ on the stack. \\ \end{figure} \textbf{Algorithm fast\_s\_mp\_sqr.} -This algorithm computes the square of an input using the Comba technique. It is designed to be a replacement for algorithm -s\_mp\_sqr when the number of input digits is less than \textbf{MP\_WARRAY} and less than $\delta \over 2$. +This algorithm computes the square of an input using the Comba technique. It is designed to be a replacement for algorithm +s\_mp\_sqr when the number of input digits is less than \textbf{MP\_WARRAY} and less than $\delta \over 2$. This algorithm is very similar to the Comba multiplier except with a few key differences we shall make note of. First, we have an accumulator and carry variables $\_ \hat W$ and $\hat W1$ respectively. This is because the inner loop @@ -3230,35 +3219,35 @@ only to even outputs and it is the square of the term at the $\lfloor ix / 2 \rf EXAM,bn_fast_s_mp_sqr.c -This implementation is essentially a copy of Comba multiplication with the appropriate changes added to make it faster for -the special case of squaring. +This implementation is essentially a copy of Comba multiplication with the appropriate changes added to make it faster for +the special case of squaring. \subsection{Polynomial Basis Squaring} The same algorithm that performs optimal polynomial basis multiplication can be used to perform polynomial basis squaring. The minor exception is that $\zeta_y = f(y)g(y)$ is actually equivalent to $\zeta_y = f(y)^2$ since $f(y) = g(y)$. Instead of performing $2n + 1$ -multiplications to find the $\zeta$ relations, squaring operations are performed instead. +multiplications to find the $\zeta$ relations, squaring operations are performed instead. \subsection{Karatsuba Squaring} -Let $f(x) = ax + b$ represent the polynomial basis representation of a number to square. -Let $h(x) = \left ( f(x) \right )^2$ represent the square of the polynomial. The Karatsuba equation can be modified to square a +Let $f(x) = ax + b$ represent the polynomial basis representation of a number to square. +Let $h(x) = \left ( f(x) \right )^2$ represent the square of the polynomial. The Karatsuba equation can be modified to square a number with the following equation. \begin{equation} h(x) = a^2x^2 + \left ((a + b)^2 - (a^2 + b^2) \right )x + b^2 \end{equation} -Upon closer inspection this equation only requires the calculation of three half-sized squares: $a^2$, $b^2$ and $(a + b)^2$. As in -Karatsuba multiplication, this algorithm can be applied recursively on the input and will achieve an asymptotic running time of +Upon closer inspection this equation only requires the calculation of three half-sized squares: $a^2$, $b^2$ and $(a + b)^2$. As in +Karatsuba multiplication, this algorithm can be applied recursively on the input and will achieve an asymptotic running time of $O \left ( n^{lg(3)} \right )$. -If the asymptotic times of Karatsuba squaring and multiplication are the same, why not simply use the multiplication algorithm -instead? The answer to this arises from the cutoff point for squaring. As in multiplication there exists a cutoff point, at which the -time required for a Comba based squaring and a Karatsuba based squaring meet. Due to the overhead inherent in the Karatsuba method, the cutoff -point is fairly high. For example, on an AMD Athlon XP processor with $\beta = 2^{28}$, the cutoff point is around 127 digits. +If the asymptotic times of Karatsuba squaring and multiplication are the same, why not simply use the multiplication algorithm +instead? The answer to this arises from the cutoff point for squaring. As in multiplication there exists a cutoff point, at which the +time required for a Comba based squaring and a Karatsuba based squaring meet. Due to the overhead inherent in the Karatsuba method, the cutoff +point is fairly high. For example, on an AMD Athlon XP processor with $\beta = 2^{28}$, the cutoff point is around 127 digits. -Consider squaring a 200 digit number with this technique. It will be split into two 100 digit halves which are subsequently squared. +Consider squaring a 200 digit number with this technique. It will be split into two 100 digit halves which are subsequently squared. The 100 digit halves will not be squared using Karatsuba, but instead using the faster Comba based squaring algorithm. If Karatsuba multiplication -were used instead, the 100 digit numbers would be squared with a slower Comba based multiplication. +were used instead, the 100 digit numbers would be squared with a slower Comba based multiplication. \newpage\begin{figure}[!here] \begin{small} @@ -3312,7 +3301,7 @@ Now if $5n$ single precision additions and a squaring of $n$-digits is faster th this method is faster. Assuming no further recursions occur, the difference can be estimated with the following inequality. Let $p$ represent the cost of a single precision addition and $q$ the cost of a single precision multiplication both in terms of time\footnote{Or -machine clock cycles.}. +machine clock cycles.}. \begin{equation} 5pn +{{q(n^2 + n)} \over 2} \le pn + qn^2 @@ -3330,27 +3319,27 @@ ${13 \over 9}$ & $<$ & $n$ \\ This results in a cutoff point around $n = 2$. As a consequence it is actually faster to compute the middle term the ``long way'' on processors where multiplication is substantially slower\footnote{On the Athlon there is a 1:17 ratio between clock cycles for addition and multiplication. On the Intel P4 processor this ratio is 1:29 making this method even more beneficial. The only common exception is the ARMv4 processor which has a -ratio of 1:7. } than simpler operations such as addition. +ratio of 1:7. } than simpler operations such as addition. EXAM,bn_mp_karatsuba_sqr.c -This implementation is largely based on the implementation of algorithm mp\_karatsuba\_mul. It uses the same inline style to copy and +This implementation is largely based on the implementation of algorithm mp\_karatsuba\_mul. It uses the same inline style to copy and shift the input into the two halves. The loop from line @54,{@ to line @70,}@ has been modified since only one input exists. The \textbf{used} count of both $x0$ and $x1$ is fixed up and $x0$ is clamped before the calculations begin. At this point $x1$ and $x0$ are valid equivalents -to the respective halves as if mp\_rshd and mp\_mod\_2d had been used. +to the respective halves as if mp\_rshd and mp\_mod\_2d had been used. By inlining the copy and shift operations the cutoff point for Karatsuba multiplication can be lowered. On the Athlon the cutoff point is exactly at the point where Comba squaring can no longer be used (\textit{128 digits}). On slower processors such as the Intel P4 it is actually below the Comba limit (\textit{at 110 digits}). -This routine uses the same error trap coding style as mp\_karatsuba\_sqr. As the temporary variables are initialized errors are -redirected to the error trap higher up. If the algorithm completes without error the error code is set to \textbf{MP\_OKAY} and +This routine uses the same error trap coding style as mp\_karatsuba\_sqr. As the temporary variables are initialized errors are +redirected to the error trap higher up. If the algorithm completes without error the error code is set to \textbf{MP\_OKAY} and mp\_clears are executed normally. \subsection{Toom-Cook Squaring} The Toom-Cook squaring algorithm mp\_toom\_sqr is heavily based on the algorithm mp\_toom\_mul with the exception that squarings are used -instead of multiplication to find the five relations. The reader is encouraged to read the description of the latter algorithm and try to -derive their own Toom-Cook squaring algorithm. +instead of multiplication to find the five relations. The reader is encouraged to read the description of the latter algorithm and try to +derive their own Toom-Cook squaring algorithm. \subsection{High Level Squaring} \newpage\begin{figure}[!here] @@ -3383,7 +3372,7 @@ derive their own Toom-Cook squaring algorithm. \textbf{Algorithm mp\_sqr.} This algorithm computes the square of the input using one of four different algorithms. If the input is very large and has at least \textbf{TOOM\_SQR\_CUTOFF} or \textbf{KARATSUBA\_SQR\_CUTOFF} digits then either the Toom-Cook or the Karatsuba Squaring algorithm is used. If -neither of the polynomial basis algorithms should be used then either the Comba or baseline algorithm is used. +neither of the polynomial basis algorithms should be used then either the Comba or baseline algorithm is used. EXAM,bn_mp_sqr.c @@ -3394,11 +3383,11 @@ $\left [ 3 \right ] $ & Devise an efficient algorithm for selection of the radix & \\ $\left [ 2 \right ] $ & In ~SQUARE~ the fact that every column of a squaring is made up \\ & of double products and at most one square is stated. Prove this statement. \\ - & \\ + & \\ $\left [ 3 \right ] $ & Prove the equation for Karatsuba squaring. \\ & \\ $\left [ 1 \right ] $ & Prove that Karatsuba squaring requires $O \left (n^{lg(3)} \right )$ time. \\ - & \\ + & \\ $\left [ 2 \right ] $ & Determine the minimal ratio between addition and multiplication clock cycles \\ & required for equation $6.7$ to be true. \\ & \\ @@ -3416,61 +3405,61 @@ $\left [ 4 \right ] $ & Same as the previous but also modify the Karatsuba and T MARK,REDUCTION \section{Basics of Modular Reduction} \index{modular residue} -Modular reduction is an operation that arises quite often within public key cryptography algorithms and various number theoretic algorithms, +Modular reduction is an operation that arises quite often within public key cryptography algorithms and various number theoretic algorithms, such as factoring. Modular reduction algorithms are the third class of algorithms of the ``multipliers'' set. A number $a$ is said to be \textit{reduced} -modulo another number $b$ by finding the remainder of the division $a/b$. Full integer division with remainder is a topic to be covered +modulo another number $b$ by finding the remainder of the division $a/b$. Full integer division with remainder is a topic to be covered in~\ref{sec:division}. -Modular reduction is equivalent to solving for $r$ in the following equation. $a = bq + r$ where $q = \lfloor a/b \rfloor$. The result -$r$ is said to be ``congruent to $a$ modulo $b$'' which is also written as $r \equiv a \mbox{ (mod }b\mbox{)}$. In other vernacular $r$ is known as the +Modular reduction is equivalent to solving for $r$ in the following equation. $a = bq + r$ where $q = \lfloor a/b \rfloor$. The result +$r$ is said to be ``congruent to $a$ modulo $b$'' which is also written as $r \equiv a \mbox{ (mod }b\mbox{)}$. In other vernacular $r$ is known as the ``modular residue'' which leads to ``quadratic residue''\footnote{That's fancy talk for $b \equiv a^2 \mbox{ (mod }p\mbox{)}$.} and -other forms of residues. +other forms of residues. -Modular reductions are normally used to create either finite groups, rings or fields. The most common usage for performance driven modular reductions -is in modular exponentiation algorithms. That is to compute $d = a^b \mbox{ (mod }c\mbox{)}$ as fast as possible. This operation is used in the -RSA and Diffie-Hellman public key algorithms, for example. Modular multiplication and squaring also appears as a fundamental operation in -elliptic curve cryptographic algorithms. As will be discussed in the subsequent chapter there exist fast algorithms for computing modular -exponentiations without having to perform (\textit{in this example}) $b - 1$ multiplications. These algorithms will produce partial results in the -range $0 \le x < c^2$ which can be taken advantage of to create several efficient algorithms. They have also been used to create redundancy check -algorithms known as CRCs, error correction codes such as Reed-Solomon and solve a variety of number theoeretic problems. +Modular reductions are normally used to create either finite groups, rings or fields. The most common usage for performance driven modular reductions +is in modular exponentiation algorithms. That is to compute $d = a^b \mbox{ (mod }c\mbox{)}$ as fast as possible. This operation is used in the +RSA and Diffie-Hellman public key algorithms, for example. Modular multiplication and squaring also appears as a fundamental operation in +elliptic curve cryptographic algorithms. As will be discussed in the subsequent chapter there exist fast algorithms for computing modular +exponentiations without having to perform (\textit{in this example}) $b - 1$ multiplications. These algorithms will produce partial results in the +range $0 \le x < c^2$ which can be taken advantage of to create several efficient algorithms. They have also been used to create redundancy check +algorithms known as CRCs, error correction codes such as Reed-Solomon and solve a variety of number theoeretic problems. \section{The Barrett Reduction} The Barrett reduction algorithm \cite{BARRETT} was inspired by fast division algorithms which multiply by the reciprocal to emulate -division. Barretts observation was that the residue $c$ of $a$ modulo $b$ is equal to +division. Barretts observation was that the residue $c$ of $a$ modulo $b$ is equal to \begin{equation} c = a - b \cdot \lfloor a/b \rfloor \end{equation} -Since algorithms such as modular exponentiation would be using the same modulus extensively, typical DSP\footnote{It is worth noting that Barrett's paper -targeted the DSP56K processor.} intuition would indicate the next step would be to replace $a/b$ by a multiplication by the reciprocal. However, -DSP intuition on its own will not work as these numbers are considerably larger than the precision of common DSP floating point data types. +Since algorithms such as modular exponentiation would be using the same modulus extensively, typical DSP\footnote{It is worth noting that Barrett's paper +targeted the DSP56K processor.} intuition would indicate the next step would be to replace $a/b$ by a multiplication by the reciprocal. However, +DSP intuition on its own will not work as these numbers are considerably larger than the precision of common DSP floating point data types. It would take another common optimization to optimize the algorithm. \subsection{Fixed Point Arithmetic} The trick used to optimize the above equation is based on a technique of emulating floating point data types with fixed precision integers. Fixed -point arithmetic would become very popular as it greatly optimize the ``3d-shooter'' genre of games in the mid 1990s when floating point units were -fairly slow if not unavailable. The idea behind fixed point arithmetic is to take a normal $k$-bit integer data type and break it into $p$-bit -integer and a $q$-bit fraction part (\textit{where $p+q = k$}). +point arithmetic would become very popular as it greatly optimize the ``3d-shooter'' genre of games in the mid 1990s when floating point units were +fairly slow if not unavailable. The idea behind fixed point arithmetic is to take a normal $k$-bit integer data type and break it into $p$-bit +integer and a $q$-bit fraction part (\textit{where $p+q = k$}). In this system a $k$-bit integer $n$ would actually represent $n/2^q$. For example, with $q = 4$ the integer $n = 37$ would actually represent the -value $2.3125$. To multiply two fixed point numbers the integers are multiplied using traditional arithmetic and subsequently normalized by -moving the implied decimal point back to where it should be. For example, with $q = 4$ to multiply the integers $9$ and $5$ they must be converted -to fixed point first by multiplying by $2^q$. Let $a = 9(2^q)$ represent the fixed point representation of $9$ and $b = 5(2^q)$ represent the -fixed point representation of $5$. The product $ab$ is equal to $45(2^{2q})$ which when normalized by dividing by $2^q$ produces $45(2^q)$. +value $2.3125$. To multiply two fixed point numbers the integers are multiplied using traditional arithmetic and subsequently normalized by +moving the implied decimal point back to where it should be. For example, with $q = 4$ to multiply the integers $9$ and $5$ they must be converted +to fixed point first by multiplying by $2^q$. Let $a = 9(2^q)$ represent the fixed point representation of $9$ and $b = 5(2^q)$ represent the +fixed point representation of $5$. The product $ab$ is equal to $45(2^{2q})$ which when normalized by dividing by $2^q$ produces $45(2^q)$. This technique became popular since a normal integer multiplication and logical shift right are the only required operations to perform a multiplication -of two fixed point numbers. Using fixed point arithmetic, division can be easily approximated by multiplying by the reciprocal. If $2^q$ is -equivalent to one than $2^q/b$ is equivalent to the fixed point approximation of $1/b$ using real arithmetic. Using this fact dividing an integer +of two fixed point numbers. Using fixed point arithmetic, division can be easily approximated by multiplying by the reciprocal. If $2^q$ is +equivalent to one than $2^q/b$ is equivalent to the fixed point approximation of $1/b$ using real arithmetic. Using this fact dividing an integer $a$ by another integer $b$ can be achieved with the following expression. \begin{equation} \lfloor a / b \rfloor \mbox{ }\approx\mbox{ } \lfloor (a \cdot \lfloor 2^q / b \rfloor)/2^q \rfloor \end{equation} -The precision of the division is proportional to the value of $q$. If the divisor $b$ is used frequently as is the case with +The precision of the division is proportional to the value of $q$. If the divisor $b$ is used frequently as is the case with modular exponentiation pre-computing $2^q/b$ will allow a division to be performed with a multiplication and a right shift. Both operations -are considerably faster than division on most processors. +are considerably faster than division on most processors. Consider dividing $19$ by $5$. The correct result is $\lfloor 19/5 \rfloor = 3$. With $q = 3$ the reciprocal is $\lfloor 2^q/5 \rfloor = 1$ which leads to a product of $19$ which when divided by $2^q$ produces $2$. However, with $q = 4$ the reciprocal is $\lfloor 2^q/5 \rfloor = 3$ and @@ -3491,11 +3480,11 @@ c = a - b \cdot \lfloor (a \cdot \mu)/2^q \rfloor Provided that $2^q \ge a$ this algorithm will produce a quotient that is either exactly correct or off by a value of one. In the context of Barrett reduction the value of $a$ is bound by $0 \le a \le (b - 1)^2$ meaning that $2^q \ge b^2$ is sufficient to ensure the reciprocal will have enough -precision. +precision. -Let $n$ represent the number of digits in $b$. This algorithm requires approximately $2n^2$ single precision multiplications to produce the quotient and -another $n^2$ single precision multiplications to find the residue. In total $3n^2$ single precision multiplications are required to -reduce the number. +Let $n$ represent the number of digits in $b$. This algorithm requires approximately $2n^2$ single precision multiplications to produce the quotient and +another $n^2$ single precision multiplications to find the residue. In total $3n^2$ single precision multiplications are required to +reduce the number. For example, if $b = 1179677$ and $q = 41$ ($2^q > b^2$), then the reciprocal $\mu$ is equal to $\lfloor 2^q / b \rfloor = 1864089$. Consider reducing $a = 180388626447$ modulo $b$ using the above reduction equation. The quotient using the new formula is $\lfloor (a \cdot \mu) / 2^q \rfloor = 152913$. @@ -3503,19 +3492,19 @@ By subtracting $152913b$ from $a$ the correct residue $a \equiv 677346 \mbox{ (m \subsection{Choosing a Radix Point} Using the fixed point representation a modular reduction can be performed with $3n^2$ single precision multiplications. If that were the best -that could be achieved a full division\footnote{A division requires approximately $O(2cn^2)$ single precision multiplications for a small value of $c$. +that could be achieved a full division\footnote{A division requires approximately $O(2cn^2)$ single precision multiplications for a small value of $c$. See~\ref{sec:division} for further details.} might as well be used in its place. The key to optimizing the reduction is to reduce the precision of -the initial multiplication that finds the quotient. +the initial multiplication that finds the quotient. Let $a$ represent the number of which the residue is sought. Let $b$ represent the modulus used to find the residue. Let $m$ represent -the number of digits in $b$. For the purposes of this discussion we will assume that the number of digits in $a$ is $2m$, which is generally true if -two $m$-digit numbers have been multiplied. Dividing $a$ by $b$ is the same as dividing a $2m$ digit integer by a $m$ digit integer. Digits below the +the number of digits in $b$. For the purposes of this discussion we will assume that the number of digits in $a$ is $2m$, which is generally true if +two $m$-digit numbers have been multiplied. Dividing $a$ by $b$ is the same as dividing a $2m$ digit integer by a $m$ digit integer. Digits below the $m - 1$'th digit of $a$ will contribute at most a value of $1$ to the quotient because $\beta^k < b$ for any $0 \le k \le m - 1$. Another way to -express this is by re-writing $a$ as two parts. If $a' \equiv a \mbox{ (mod }b^m\mbox{)}$ and $a'' = a - a'$ then +express this is by re-writing $a$ as two parts. If $a' \equiv a \mbox{ (mod }b^m\mbox{)}$ and $a'' = a - a'$ then ${a \over b} \equiv {{a' + a''} \over b}$ which is equivalent to ${a' \over b} + {a'' \over b}$. Since $a'$ is bound to be less than $b$ the quotient is bound by $0 \le {a' \over b} < 1$. -Since the digits of $a'$ do not contribute much to the quotient the observation is that they might as well be zero. However, if the digits +Since the digits of $a'$ do not contribute much to the quotient the observation is that they might as well be zero. However, if the digits ``might as well be zero'' they might as well not be there in the first place. Let $q_0 = \lfloor a/\beta^{m-1} \rfloor$ represent the input with the irrelevant digits trimmed. Now the modular reduction is trimmed to the almost equivalent equation @@ -3523,52 +3512,52 @@ with the irrelevant digits trimmed. Now the modular reduction is trimmed to the c = a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor \end{equation} -Note that the original divisor $2^q$ has been replaced with $\beta^{m+1}$ where in this case $q$ is a multiple of $lg(\beta)$. Also note that the -exponent on the divisor when added to the amount $q_0$ was shifted by equals $2m$. If the optimization had not been performed the divisor -would have the exponent $2m$ so in the end the exponents do ``add up''. Using the above equation the quotient +Note that the original divisor $2^q$ has been replaced with $\beta^{m+1}$ where in this case $q$ is a multiple of $lg(\beta)$. Also note that the +exponent on the divisor when added to the amount $q_0$ was shifted by equals $2m$. If the optimization had not been performed the divisor +would have the exponent $2m$ so in the end the exponents do ``add up''. Using the above equation the quotient $\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ can be off from the true quotient by at most two. The original fixed point quotient can be off by as much as one (\textit{provided the radix point is chosen suitably}) and now that the lower irrelevent digits have been trimmed the quotient -can be off by an additional value of one for a total of at most two. This implies that -$0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. By first subtracting $b$ times the quotient and then conditionally subtracting +can be off by an additional value of one for a total of at most two. This implies that +$0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. By first subtracting $b$ times the quotient and then conditionally subtracting $b$ once or twice the residue is found. The quotient is now found using $(m + 1)(m) = m^2 + m$ single precision multiplications and the residue with an additional $m^2$ single -precision multiplications, ignoring the subtractions required. In total $2m^2 + m$ single precision multiplications are required to find the residue. +precision multiplications, ignoring the subtractions required. In total $2m^2 + m$ single precision multiplications are required to find the residue. This is considerably faster than the original attempt. -For example, let $\beta = 10$ represent the radix of the digits. Let $b = 9999$ represent the modulus which implies $m = 4$. Let $a = 99929878$ -represent the value of which the residue is desired. In this case $q = 8$ since $10^7 < 9999^2$ meaning that $\mu = \lfloor \beta^{q}/b \rfloor = 10001$. -With the new observation the multiplicand for the quotient is equal to $q_0 = \lfloor a / \beta^{m - 1} \rfloor = 99929$. The quotient is then -$\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor = 9993$. Subtracting $9993b$ from $a$ and the correct residue $a \equiv 9871 \mbox{ (mod }b\mbox{)}$ -is found. +For example, let $\beta = 10$ represent the radix of the digits. Let $b = 9999$ represent the modulus which implies $m = 4$. Let $a = 99929878$ +represent the value of which the residue is desired. In this case $q = 8$ since $10^7 < 9999^2$ meaning that $\mu = \lfloor \beta^{q}/b \rfloor = 10001$. +With the new observation the multiplicand for the quotient is equal to $q_0 = \lfloor a / \beta^{m - 1} \rfloor = 99929$. The quotient is then +$\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor = 9993$. Subtracting $9993b$ from $a$ and the correct residue $a \equiv 9871 \mbox{ (mod }b\mbox{)}$ +is found. \subsection{Trimming the Quotient} -So far the reduction algorithm has been optimized from $3m^2$ single precision multiplications down to $2m^2 + m$ single precision multiplications. As +So far the reduction algorithm has been optimized from $3m^2$ single precision multiplications down to $2m^2 + m$ single precision multiplications. As it stands now the algorithm is already fairly fast compared to a full integer division algorithm. However, there is still room for -optimization. +optimization. After the first multiplication inside the quotient ($q_0 \cdot \mu$) the value is shifted right by $m + 1$ places effectively nullifying the lower -half of the product. It would be nice to be able to remove those digits from the product to effectively cut down the number of single precision -multiplications. If the number of digits in the modulus $m$ is far less than $\beta$ a full product is not required for the algorithm to work properly. -In fact the lower $m - 2$ digits will not affect the upper half of the product at all and do not need to be computed. +half of the product. It would be nice to be able to remove those digits from the product to effectively cut down the number of single precision +multiplications. If the number of digits in the modulus $m$ is far less than $\beta$ a full product is not required for the algorithm to work properly. +In fact the lower $m - 2$ digits will not affect the upper half of the product at all and do not need to be computed. The value of $\mu$ is a $m$-digit number and $q_0$ is a $m + 1$ digit number. Using a full multiplier $(m + 1)(m) = m^2 + m$ single precision multiplications would be required. Using a multiplier that will only produce digits at and above the $m - 1$'th digit reduces the number -of single precision multiplications to ${m^2 + m} \over 2$ single precision multiplications. +of single precision multiplications to ${m^2 + m} \over 2$ single precision multiplications. \subsection{Trimming the Residue} After the quotient has been calculated it is used to reduce the input. As previously noted the algorithm is not exact and it can be off by a small -multiple of the modulus, that is $0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. If $b$ is $m$ digits than the +multiple of the modulus, that is $0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. If $b$ is $m$ digits than the result of reduction equation is a value of at most $m + 1$ digits (\textit{provided $3 < \beta$}) implying that the upper $m - 1$ digits are -implicitly zero. +implicitly zero. The next optimization arises from this very fact. Instead of computing $b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ using a full $O(m^2)$ multiplication algorithm only the lower $m+1$ digits of the product have to be computed. Similarly the value of $a$ can -be reduced modulo $\beta^{m+1}$ before the multiple of $b$ is subtracted which simplifes the subtraction as well. A multiplication that produces -only the lower $m+1$ digits requires ${m^2 + 3m - 2} \over 2$ single precision multiplications. +be reduced modulo $\beta^{m+1}$ before the multiple of $b$ is subtracted which simplifes the subtraction as well. A multiplication that produces +only the lower $m+1$ digits requires ${m^2 + 3m - 2} \over 2$ single precision multiplications. With both optimizations in place the algorithm is the algorithm Barrett proposed. It requires $m^2 + 2m - 1$ single precision multiplications which -is considerably faster than the straightforward $3m^2$ method. +is considerably faster than the straightforward $3m^2$ method. \subsection{The Barrett Algorithm} \newpage\begin{figure}[!here] @@ -3612,26 +3601,26 @@ Now subtract the modulus if the residue is too large (e.g. quotient too small). \textbf{Algorithm mp\_reduce.} This algorithm will reduce the input $a$ modulo $b$ in place using the Barrett algorithm. It is loosely based on algorithm 14.42 of HAC -\cite[pp. 602]{HAC} which is based on the paper from Paul Barrett \cite{BARRETT}. The algorithm has several restrictions and assumptions which must +\cite[pp. 602]{HAC} which is based on the paper from Paul Barrett \cite{BARRETT}. The algorithm has several restrictions and assumptions which must be adhered to for the algorithm to work. First the modulus $b$ is assumed to be positive and greater than one. If the modulus were less than or equal to one than subtracting a multiple of it would either accomplish nothing or actually enlarge the input. The input $a$ must be in the range $0 \le a < b^2$ in order for the quotient to have enough precision. If $a$ is the product of two numbers that were already reduced modulo $b$, this will not be a problem. -Technically the algorithm will still work if $a \ge b^2$ but it will take much longer to finish. The value of $\mu$ is passed as an argument to this -algorithm and is assumed to be calculated and stored before the algorithm is used. +Technically the algorithm will still work if $a \ge b^2$ but it will take much longer to finish. The value of $\mu$ is passed as an argument to this +algorithm and is assumed to be calculated and stored before the algorithm is used. -Recall that the multiplication for the quotient on step 3 must only produce digits at or above the $m-1$'th position. An algorithm called +Recall that the multiplication for the quotient on step 3 must only produce digits at or above the $m-1$'th position. An algorithm called $s\_mp\_mul\_high\_digs$ which has not been presented is used to accomplish this task. The algorithm is based on $s\_mp\_mul\_digs$ except that instead of stopping at a given level of precision it starts at a given level of precision. This optimal algorithm can only be used if the number -of digits in $b$ is very much smaller than $\beta$. +of digits in $b$ is very much smaller than $\beta$. -While it is known that -$a \ge b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ only the lower $m+1$ digits are being used to compute the residue, so an implied -``borrow'' from the higher digits might leave a negative result. After the multiple of the modulus has been subtracted from $a$ the residue must be -fixed up in case it is negative. The invariant $\beta^{m+1}$ must be added to the residue to make it positive again. +While it is known that +$a \ge b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ only the lower $m+1$ digits are being used to compute the residue, so an implied +``borrow'' from the higher digits might leave a negative result. After the multiple of the modulus has been subtracted from $a$ the residue must be +fixed up in case it is negative. The invariant $\beta^{m+1}$ must be added to the residue to make it positive again. -The while loop at step 9 will subtract $b$ until the residue is less than $b$. If the algorithm is performed correctly this step is +The while loop at step 9 will subtract $b$ until the residue is less than $b$. If the algorithm is performed correctly this step is performed at most twice, and on average once. However, if $a \ge b^2$ than it will iterate substantially more times than it should. EXAM,bn_mp_reduce.c @@ -3639,11 +3628,11 @@ EXAM,bn_mp_reduce.c The first multiplication that determines the quotient can be performed by only producing the digits from $m - 1$ and up. This essentially halves the number of single precision multiplications required. However, the optimization is only safe if $\beta$ is much larger than the number of digits in the modulus. In the source code this is evaluated on lines @36,if@ to @44,}@ where algorithm s\_mp\_mul\_high\_digs is used when it is -safe to do so. +safe to do so. \subsection{The Barrett Setup Algorithm} In order to use algorithm mp\_reduce the value of $\mu$ must be calculated in advance. Ideally this value should be computed once and stored for -future use so that the Barrett algorithm can be used without delay. +future use so that the Barrett algorithm can be used without delay. \newpage\begin{figure}[!here] \begin{small} @@ -3670,24 +3659,24 @@ is equivalent and much faster. The final value is computed by taking the intege EXAM,bn_mp_reduce_setup.c This simple routine calculates the reciprocal $\mu$ required by Barrett reduction. Note the extended usage of algorithm mp\_div where the variable -which would received the remainder is passed as NULL. As will be discussed in~\ref{sec:division} the division routine allows both the quotient and the -remainder to be passed as NULL meaning to ignore the value. +which would received the remainder is passed as NULL. As will be discussed in~\ref{sec:division} the division routine allows both the quotient and the +remainder to be passed as NULL meaning to ignore the value. \section{The Montgomery Reduction} -Montgomery reduction\footnote{Thanks to Niels Ferguson for his insightful explanation of the algorithm.} \cite{MONT} is by far the most interesting -form of reduction in common use. It computes a modular residue which is not actually equal to the residue of the input yet instead equal to a -residue times a constant. However, as perplexing as this may sound the algorithm is relatively simple and very efficient. +Montgomery reduction\footnote{Thanks to Niels Ferguson for his insightful explanation of the algorithm.} \cite{MONT} is by far the most interesting +form of reduction in common use. It computes a modular residue which is not actually equal to the residue of the input yet instead equal to a +residue times a constant. However, as perplexing as this may sound the algorithm is relatively simple and very efficient. Throughout this entire section the variable $n$ will represent the modulus used to form the residue. As will be discussed shortly the value of $n$ must be odd. The variable $x$ will represent the quantity of which the residue is sought. Similar to the Barrett algorithm the input is restricted to $0 \le x < n^2$. To begin the description some simple number theory facts must be established. \textbf{Fact 1.} Adding $n$ to $x$ does not change the residue since in effect it adds one to the quotient $\lfloor x / n \rfloor$. Another way -to explain this is that $n$ is (\textit{or multiples of $n$ are}) congruent to zero modulo $n$. Adding zero will not change the value of the residue. +to explain this is that $n$ is (\textit{or multiples of $n$ are}) congruent to zero modulo $n$. Adding zero will not change the value of the residue. \textbf{Fact 2.} If $x$ is even then performing a division by two in $\Z$ is congruent to $x \cdot 2^{-1} \mbox{ (mod }n\mbox{)}$. Actually -this is an application of the fact that if $x$ is evenly divisible by any $k \in \Z$ then division in $\Z$ will be congruent to -multiplication by $k^{-1}$ modulo $n$. +this is an application of the fact that if $x$ is evenly divisible by any $k \in \Z$ then division in $\Z$ will be congruent to +multiplication by $k^{-1}$ modulo $n$. From these two simple facts the following simple algorithm can be derived. @@ -3713,8 +3702,8 @@ From these two simple facts the following simple algorithm can be derived. The algorithm reduces the input one bit at a time using the two congruencies stated previously. Inside the loop $n$, which is odd, is added to $x$ if $x$ is odd. This forces $x$ to be even which allows the division by two in $\Z$ to be congruent to a modular division by two. Since -$x$ is assumed to be initially much larger than $n$ the addition of $n$ will contribute an insignificant magnitude to $x$. Let $r$ represent the -final result of the Montgomery algorithm. If $k > lg(n)$ and $0 \le x < n^2$ then the final result is limited to +$x$ is assumed to be initially much larger than $n$ the addition of $n$ will contribute an insignificant magnitude to $x$. Let $r$ represent the +final result of the Montgomery algorithm. If $k > lg(n)$ and $0 \le x < n^2$ then the final result is limited to $0 \le r < \lfloor x/2^k \rfloor + n$. As a result at most a single subtraction is required to get the residue desired. \begin{figure}[here] @@ -3739,12 +3728,12 @@ $0 \le r < \lfloor x/2^k \rfloor + n$. As a result at most a single subtraction \label{fig:MONT1} \end{figure} -Consider the example in figure~\ref{fig:MONT1} which reduces $x = 5555$ modulo $n = 257$ when $k = 9$ (note $\beta^k = 512$ which is larger than $n$). The result of -the algorithm $r = 178$ is congruent to the value of $2^{-9} \cdot 5555 \mbox{ (mod }257\mbox{)}$. When $r$ is multiplied by $2^9$ modulo $257$ the correct residue -$r \equiv 158$ is produced. +Consider the example in figure~\ref{fig:MONT1} which reduces $x = 5555$ modulo $n = 257$ when $k = 9$ (note $\beta^k = 512$ which is larger than $n$). The result of +the algorithm $r = 178$ is congruent to the value of $2^{-9} \cdot 5555 \mbox{ (mod }257\mbox{)}$. When $r$ is multiplied by $2^9$ modulo $257$ the correct residue +$r \equiv 158$ is produced. Let $k = \lfloor lg(n) \rfloor + 1$ represent the number of bits in $n$. The current algorithm requires $2k^2$ single precision shifts -and $k^2$ single precision additions. At this rate the algorithm is most certainly slower than Barrett reduction and not terribly useful. +and $k^2$ single precision additions. At this rate the algorithm is most certainly slower than Barrett reduction and not terribly useful. Fortunately there exists an alternative representation of the algorithm. \begin{figure}[!here] @@ -3793,10 +3782,10 @@ precision shifts has now been reduced from $2k^2$ to $k^2 + k$ which is only a s \label{fig:MONT2} \end{figure} -Figure~\ref{fig:MONT2} demonstrates the modified algorithm reducing $x = 5555$ modulo $n = 257$ with $k = 9$. -With this algorithm a single shift right at the end is the only right shift required to reduce the input instead of $k$ right shifts inside the -loop. Note that for the iterations $t = 2, 5, 6$ and $8$ where the result $x$ is not changed. In those iterations the $t$'th bit of $x$ is -zero and the appropriate multiple of $n$ does not need to be added to force the $t$'th bit of the result to zero. +Figure~\ref{fig:MONT2} demonstrates the modified algorithm reducing $x = 5555$ modulo $n = 257$ with $k = 9$. +With this algorithm a single shift right at the end is the only right shift required to reduce the input instead of $k$ right shifts inside the +loop. Note that for the iterations $t = 2, 5, 6$ and $8$ where the result $x$ is not changed. In those iterations the $t$'th bit of $x$ is +zero and the appropriate multiple of $n$ does not need to be added to force the $t$'th bit of the result to zero. \subsection{Digit Based Montgomery Reduction} Instead of computing the reduction on a bit-by-bit basis it is actually much faster to compute it on digit-by-digit basis. Consider the @@ -3820,9 +3809,9 @@ previous algorithm re-written to compute the Montgomery reduction in this new fa \caption{Algorithm Montgomery Reduction (modified II)} \end{figure} -The value $\mu n \beta^t$ is a multiple of the modulus $n$ meaning that it will not change the residue. If the first digit of +The value $\mu n \beta^t$ is a multiple of the modulus $n$ meaning that it will not change the residue. If the first digit of the value $\mu n \beta^t$ equals the negative (modulo $\beta$) of the $t$'th digit of $x$ then the addition will result in a zero digit. This -problem breaks down to solving the following congruency. +problem breaks down to solving the following congruency. \begin{center} \begin{tabular}{rcl} @@ -3832,10 +3821,10 @@ $\mu$ & $\equiv$ & $-x_t/n_0 \mbox{ (mod }\beta\mbox{)}$ \\ \end{tabular} \end{center} -In each iteration of the loop on step 1 a new value of $\mu$ must be calculated. The value of $-1/n_0 \mbox{ (mod }\beta\mbox{)}$ is used -extensively in this algorithm and should be precomputed. Let $\rho$ represent the negative of the modular inverse of $n_0$ modulo $\beta$. +In each iteration of the loop on step 1 a new value of $\mu$ must be calculated. The value of $-1/n_0 \mbox{ (mod }\beta\mbox{)}$ is used +extensively in this algorithm and should be precomputed. Let $\rho$ represent the negative of the modular inverse of $n_0$ modulo $\beta$. -For example, let $\beta = 10$ represent the radix. Let $n = 17$ represent the modulus which implies $k = 2$ and $\rho \equiv 7$. Let $x = 33$ +For example, let $\beta = 10$ represent the radix. Let $n = 17$ represent the modulus which implies $k = 2$ and $\rho \equiv 7$. Let $x = 33$ represent the value to reduce. \newpage\begin{figure} @@ -3851,14 +3840,14 @@ represent the value to reduce. \caption{Example of Montgomery Reduction} \end{figure} -The final result $900$ is then divided by $\beta^k$ to produce the final result $9$. The first observation is that $9 \nequiv x \mbox{ (mod }n\mbox{)}$ +The final result $900$ is then divided by $\beta^k$ to produce the final result $9$. The first observation is that $9 \nequiv x \mbox{ (mod }n\mbox{)}$ which implies the result is not the modular residue of $x$ modulo $n$. However, recall that the residue is actually multiplied by $\beta^{-k}$ in the algorithm. To get the true residue the value must be multiplied by $\beta^k$. In this case $\beta^k \equiv 15 \mbox{ (mod }n\mbox{)}$ and -the correct residue is $9 \cdot 15 \equiv 16 \mbox{ (mod }n\mbox{)}$. +the correct residue is $9 \cdot 15 \equiv 16 \mbox{ (mod }n\mbox{)}$. \subsection{Baseline Montgomery Reduction} -The baseline Montgomery reduction algorithm will produce the residue for any size input. It is designed to be a catch-all algororithm for -Montgomery reductions. +The baseline Montgomery reduction algorithm will produce the residue for any size input. It is designed to be a catch-all algororithm for +Montgomery reductions. \newpage\begin{figure}[!here] \begin{small} @@ -3906,9 +3895,9 @@ Divide by $\beta^k$ and fix up as required. \\ \textbf{Algorithm mp\_montgomery\_reduce.} This algorithm reduces the input $x$ modulo $n$ in place using the Montgomery reduction algorithm. The algorithm is loosely based on algorithm 14.32 of \cite[pp.601]{HAC} except it merges the multiplication of $\mu n \beta^t$ with the addition in the inner loop. The -restrictions on this algorithm are fairly easy to adapt to. First $0 \le x < n^2$ bounds the input to numbers in the same range as +restrictions on this algorithm are fairly easy to adapt to. First $0 \le x < n^2$ bounds the input to numbers in the same range as for the Barrett algorithm. Additionally if $n > 1$ and $n$ is odd there will exist a modular inverse $\rho$. $\rho$ must be calculated in -advance of this algorithm. Finally the variable $k$ is fixed and a pseudonym for $n.used$. +advance of this algorithm. Finally the variable $k$ is fixed and a pseudonym for $n.used$. Step 2 decides whether a faster Montgomery algorithm can be used. It is based on the Comba technique meaning that there are limits on the size of the input. This algorithm is discussed in ~COMBARED~. @@ -3917,17 +3906,17 @@ Step 5 is the main reduction loop of the algorithm. The value of $\mu$ is calcu calculates $x + \mu n \beta^{ix}$ by multiplying $\mu n$ and adding the result to $x$ shifted by $ix$ digits. Both the addition and multiplication are performed in the same loop to save time and memory. Step 5.4 will handle any additional carries that escape the inner loop. -Using a quick inspection this algorithm requires $n$ single precision multiplications for the outer loop and $n^2$ single precision multiplications +Using a quick inspection this algorithm requires $n$ single precision multiplications for the outer loop and $n^2$ single precision multiplications in the inner loop. In total $n^2 + n$ single precision multiplications which compares favourably to Barrett at $n^2 + 2n - 1$ single precision -multiplications. +multiplications. EXAM,bn_mp_montgomery_reduce.c This is the baseline implementation of the Montgomery reduction algorithm. Lines @30,digs@ to @35,}@ determine if the Comba based -routine can be used instead. Line @47,mu@ computes the value of $\mu$ for that particular iteration of the outer loop. +routine can be used instead. Line @47,mu@ computes the value of $\mu$ for that particular iteration of the outer loop. The multiplication $\mu n \beta^{ix}$ is performed in one step in the inner loop. The alias $tmpx$ refers to the $ix$'th digit of $x$ and -the alias $tmpn$ refers to the modulus $n$. +the alias $tmpn$ refers to the modulus $n$. \subsection{Faster ``Comba'' Montgomery Reduction} MARK,COMBARED @@ -3935,14 +3924,14 @@ MARK,COMBARED The Montgomery reduction requires fewer single precision multiplications than a Barrett reduction, however it is much slower due to the serial nature of the inner loop. The Barrett reduction algorithm requires two slightly modified multipliers which can be implemented with the Comba technique. The Montgomery reduction algorithm cannot directly use the Comba technique to any significant advantage since the inner loop calculates -a $k \times 1$ product $k$ times. +a $k \times 1$ product $k$ times. -The biggest obstacle is that at the $ix$'th iteration of the outer loop the value of $x_{ix}$ is required to calculate $\mu$. This means the -carries from $0$ to $ix - 1$ must have been propagated upwards to form a valid $ix$'th digit. The solution as it turns out is very simple. -Perform a Comba like multiplier and inside the outer loop just after the inner loop fix up the $ix + 1$'th digit by forwarding the carry. +The biggest obstacle is that at the $ix$'th iteration of the outer loop the value of $x_{ix}$ is required to calculate $\mu$. This means the +carries from $0$ to $ix - 1$ must have been propagated upwards to form a valid $ix$'th digit. The solution as it turns out is very simple. +Perform a Comba like multiplier and inside the outer loop just after the inner loop fix up the $ix + 1$'th digit by forwarding the carry. With this change in place the Montgomery reduction algorithm can be performed with a Comba style multiplication loop which substantially increases -the speed of the algorithm. +the speed of the algorithm. \newpage\begin{figure}[!here] \begin{small} @@ -3991,9 +3980,9 @@ Zero excess digits and fixup $x$. \\ \textbf{Algorithm fast\_mp\_montgomery\_reduce.} This algorithm will compute the Montgomery reduction of $x$ modulo $n$ using the Comba technique. It is on most computer platforms significantly faster than algorithm mp\_montgomery\_reduce and algorithm mp\_reduce (\textit{Barrett reduction}). The algorithm has the same restrictions -on the input as the baseline reduction algorithm. An additional two restrictions are imposed on this algorithm. The number of digits $k$ in the +on the input as the baseline reduction algorithm. An additional two restrictions are imposed on this algorithm. The number of digits $k$ in the the modulus $n$ must not violate $MP\_WARRAY > 2k +1$ and $n < \delta$. When $\beta = 2^{28}$ this algorithm can be used to reduce modulo -a modulus of at most $3,556$ bits in length. +a modulus of at most $3,556$ bits in length. As in the other Comba reduction algorithms there is a $\hat W$ array which stores the columns of the product. It is initially filled with the contents of $x$ with the excess digits zeroed. The reduction loop is very similar the to the baseline loop at heart. The multiplication on step @@ -4007,23 +3996,23 @@ how the upper bits of those same words are not reduced modulo $\beta$. This is point. Step 5 will propagate the remainder of the carries upwards. On step 6 the columns are reduced modulo $\beta$ and shifted simultaneously as they are -stored in the destination $x$. +stored in the destination $x$. EXAM,bn_fast_mp_montgomery_reduce.c The $\hat W$ array is first filled with digits of $x$ on line @49,for@ then the rest of the digits are zeroed on line @54,for@. Both loops share -the same alias variables to make the code easier to read. +the same alias variables to make the code easier to read. The value of $\mu$ is calculated in an interesting fashion. First the value $\hat W_{ix}$ is reduced modulo $\beta$ and cast to a mp\_digit. This -forces the compiler to use a single precision multiplication and prevents any concerns about loss of precision. Line @101,>>@ fixes the carry +forces the compiler to use a single precision multiplication and prevents any concerns about loss of precision. Line @101,>>@ fixes the carry for the next iteration of the loop by propagating the carry from $\hat W_{ix}$ to $\hat W_{ix+1}$. The for loop on line @113,for@ propagates the rest of the carries upwards through the columns. The for loop on line @126,for@ reduces the columns modulo $\beta$ and shifts them $k$ places at the same time. The alias $\_ \hat W$ actually refers to the array $\hat W$ starting at the $n.used$'th -digit, that is $\_ \hat W_{t} = \hat W_{n.used + t}$. +digit, that is $\_ \hat W_{t} = \hat W_{n.used + t}$. \subsection{Montgomery Setup} -To calculate the variable $\rho$ a relatively simple algorithm will be required. +To calculate the variable $\rho$ a relatively simple algorithm will be required. \begin{figure}[!here] \begin{small} @@ -4044,17 +4033,17 @@ To calculate the variable $\rho$ a relatively simple algorithm will be required. \end{tabular} \end{center} \end{small} -\caption{Algorithm mp\_montgomery\_setup} +\caption{Algorithm mp\_montgomery\_setup} \end{figure} \textbf{Algorithm mp\_montgomery\_setup.} -This algorithm will calculate the value of $\rho$ required within the Montgomery reduction algorithms. It uses a very interesting trick -to calculate $1/n_0$ when $\beta$ is a power of two. +This algorithm will calculate the value of $\rho$ required within the Montgomery reduction algorithms. It uses a very interesting trick +to calculate $1/n_0$ when $\beta$ is a power of two. EXAM,bn_mp_montgomery_setup.c This source code computes the value of $\rho$ required to perform Montgomery reduction. It has been modified to avoid performing excess -multiplications when $\beta$ is not the default 28-bits. +multiplications when $\beta$ is not the default 28-bits. \section{The Diminished Radix Algorithm} The Diminished Radix method of modular reduction \cite{DRMET} is a fairly clever technique which can be more efficient than either the Barrett @@ -4064,7 +4053,7 @@ or Montgomery methods for certain forms of moduli. The technique is based on th (x \mbox{ mod } n) + k \lfloor x / n \rfloor \equiv x \mbox{ (mod }(n - k)\mbox{)} \end{equation} -This observation was used in the MMB \cite{MMB} block cipher to create a diffusion primitive. It used the fact that if $n = 2^{31}$ and $k=1$ that +This observation was used in the MMB \cite{MMB} block cipher to create a diffusion primitive. It used the fact that if $n = 2^{31}$ and $k=1$ that then a x86 multiplier could produce the 62-bit product and use the ``shrd'' instruction to perform a double-precision right shift. The proof of the above equation is very simple. First write $x$ in the product form. @@ -4078,7 +4067,7 @@ Now reduce both sides modulo $(n - k)$. x \equiv qk + r \mbox{ (mod }(n-k)\mbox{)} \end{equation} -The variable $n$ reduces modulo $n - k$ to $k$. By putting $q = \lfloor x/n \rfloor$ and $r = x \mbox{ mod } n$ +The variable $n$ reduces modulo $n - k$ to $k$. By putting $q = \lfloor x/n \rfloor$ and $r = x \mbox{ mod } n$ into the equation the original congruence is reproduced, thus concluding the proof. The following algorithm is based on this observation. \begin{figure}[!here] @@ -4108,7 +4097,7 @@ into the equation the original congruence is reproduced, thus concluding the pro This algorithm will reduce $x$ modulo $n - k$ and return the residue. If $0 \le x < (n - k)^2$ then the algorithm will loop almost always once or twice and occasionally three times. For simplicity sake the value of $x$ is bounded by the following simple polynomial. -\begin{equation} +\begin{equation} 0 \le x < n^2 + k^2 - 2nk \end{equation} @@ -4119,15 +4108,15 @@ q < n - 2k - k^2/n \end{equation} Since $k^2$ is going to be considerably smaller than $n$ that term will always be zero. The value of $x$ after step 3 is bounded trivially as -$0 \le x < n$. By step four the sum $x + q$ is bounded by +$0 \le x < n$. By step four the sum $x + q$ is bounded by \begin{equation} 0 \le q + x < (k + 1)n - 2k^2 - 1 \end{equation} With a second pass $q$ will be loosely bounded by $0 \le q < k^2$ after step 2 while $x$ will still be loosely bounded by $0 \le x < n$ after step 3. After the second pass it is highly unlike that the -sum in step 4 will exceed $n - k$. In practice fewer than three passes of the algorithm are required to reduce virtually every input in the -range $0 \le x < (n - k - 1)^2$. +sum in step 4 will exceed $n - k$. In practice fewer than three passes of the algorithm are required to reduce virtually every input in the +range $0 \le x < (n - k - 1)^2$. \begin{figure} \begin{small} @@ -4140,13 +4129,13 @@ $q \leftarrow q*k = 1446759$ \\ $x \leftarrow x \mbox{ mod } n = 21$ \\ $x \leftarrow x + q = 1446780$ \\ $x \leftarrow x - (n - k) = 1446527$ \\ -\hline +\hline $q \leftarrow \lfloor x/n \rfloor = 5650$ \\ $q \leftarrow q*k = 16950$ \\ $x \leftarrow x \mbox{ mod } n = 127$ \\ $x \leftarrow x + q = 17077$ \\ $x \leftarrow x - (n - k) = 16824$ \\ -\hline +\hline $q \leftarrow \lfloor x/n \rfloor = 65$ \\ $q \leftarrow q*k = 195$ \\ $x \leftarrow x \mbox{ mod } n = 184$ \\ @@ -4169,29 +4158,29 @@ three passes were required to find the residue $x \equiv 126$. On the surface this algorithm looks like a very expensive algorithm. It requires a couple of subtractions followed by multiplication and other modular reductions. The usefulness of this algorithm becomes exceedingly clear when an appropriate modulus is chosen. -Division in general is a very expensive operation to perform. The one exception is when the division is by a power of the radix of representation used. -Division by ten for example is simple for pencil and paper mathematics since it amounts to shifting the decimal place to the right. Similarly division -by two (\textit{or powers of two}) is very simple for binary computers to perform. It would therefore seem logical to choose $n$ of the form $2^p$ -which would imply that $\lfloor x / n \rfloor$ is a simple shift of $x$ right $p$ bits. +Division in general is a very expensive operation to perform. The one exception is when the division is by a power of the radix of representation used. +Division by ten for example is simple for pencil and paper mathematics since it amounts to shifting the decimal place to the right. Similarly division +by two (\textit{or powers of two}) is very simple for binary computers to perform. It would therefore seem logical to choose $n$ of the form $2^p$ +which would imply that $\lfloor x / n \rfloor$ is a simple shift of $x$ right $p$ bits. -However, there is one operation related to division of power of twos that is even faster than this. If $n = \beta^p$ then the division may be -performed by moving whole digits to the right $p$ places. In practice division by $\beta^p$ is much faster than division by $2^p$ for any $p$. -Also with the choice of $n = \beta^p$ reducing $x$ modulo $n$ merely requires zeroing the digits above the $p-1$'th digit of $x$. +However, there is one operation related to division of power of twos that is even faster than this. If $n = \beta^p$ then the division may be +performed by moving whole digits to the right $p$ places. In practice division by $\beta^p$ is much faster than division by $2^p$ for any $p$. +Also with the choice of $n = \beta^p$ reducing $x$ modulo $n$ merely requires zeroing the digits above the $p-1$'th digit of $x$. Throughout the next section the term ``restricted modulus'' will refer to a modulus of the form $\beta^p - k$ whereas the term ``unrestricted -modulus'' will refer to a modulus of the form $2^p - k$. The word ``restricted'' in this case refers to the fact that it is based on the -$2^p$ logic except $p$ must be a multiple of $lg(\beta)$. +modulus'' will refer to a modulus of the form $2^p - k$. The word ``restricted'' in this case refers to the fact that it is based on the +$2^p$ logic except $p$ must be a multiple of $lg(\beta)$. \subsection{Choice of $k$} Now that division and reduction (\textit{step 1 and 3 of figure~\ref{fig:DR}}) have been optimized to simple digit operations the multiplication by $k$ in step 2 is the most expensive operation. Fortunately the choice of $k$ is not terribly limited. For all intents and purposes it might -as well be a single digit. The smaller the value of $k$ is the faster the algorithm will be. +as well be a single digit. The smaller the value of $k$ is the faster the algorithm will be. \subsection{Restricted Diminished Radix Reduction} -The restricted Diminished Radix algorithm can quickly reduce an input modulo a modulus of the form $n = \beta^p - k$. This algorithm can reduce +The restricted Diminished Radix algorithm can quickly reduce an input modulo a modulus of the form $n = \beta^p - k$. This algorithm can reduce an input $x$ within the range $0 \le x < n^2$ using only a couple passes of the algorithm demonstrated in figure~\ref{fig:DR}. The implementation -of this algorithm has been optimized to avoid additional overhead associated with a division by $\beta^p$, the multiplication by $k$ or the addition -of $x$ and $q$. The resulting algorithm is very efficient and can lead to substantial improvements over Barrett and Montgomery reduction when modular +of this algorithm has been optimized to avoid additional overhead associated with a division by $\beta^p$, the multiplication by $k$ or the addition +of $x$ and $q$. The resulting algorithm is very efficient and can lead to substantial improvements over Barrett and Montgomery reduction when modular exponentiations are performed. \newpage\begin{figure}[!here] @@ -4227,31 +4216,31 @@ exponentiations are performed. \textbf{Algorithm mp\_dr\_reduce.} This algorithm will perform the Dimished Radix reduction of $x$ modulo $n$. It has similar restrictions to that of the Barrett reduction -with the addition that $n$ must be of the form $n = \beta^m - k$ where $0 < k <\beta$. +with the addition that $n$ must be of the form $n = \beta^m - k$ where $0 < k <\beta$. This algorithm essentially implements the pseudo-code in figure~\ref{fig:DR} except with a slight optimization. The division by $\beta^m$, multiplication by $k$ and addition of $x \mbox{ mod }\beta^m$ are all performed simultaneously inside the loop on step 4. The division by $\beta^m$ is emulated by accessing the term at the $m+i$'th position which is subsequently multiplied by $k$ and added to the term at the $i$'th position. After the loop the $m$'th -digit is set to the carry and the upper digits are zeroed. Steps 5 and 6 emulate the reduction modulo $\beta^m$ that should have happend to -$x$ before the addition of the multiple of the upper half. +digit is set to the carry and the upper digits are zeroed. Steps 5 and 6 emulate the reduction modulo $\beta^m$ that should have happend to +$x$ before the addition of the multiple of the upper half. At step 8 if $x$ is still larger than $n$ another pass of the algorithm is required. First $n$ is subtracted from $x$ and then the algorithm resumes -at step 3. +at step 3. EXAM,bn_mp_dr_reduce.c The first step is to grow $x$ as required to $2m$ digits since the reduction is performed in place on $x$. The label on line @49,top:@ is where the algorithm will resume if further reduction passes are required. In theory it could be placed at the top of the function however, the size of -the modulus and question of whether $x$ is large enough are invariant after the first pass meaning that it would be a waste of time. +the modulus and question of whether $x$ is large enough are invariant after the first pass meaning that it would be a waste of time. The aliases $tmpx1$ and $tmpx2$ refer to the digits of $x$ where the latter is offset by $m$ digits. By reading digits from $x$ offset by $m$ digits a division by $\beta^m$ can be simulated virtually for free. The loop on line @61,for@ performs the bulk of the work (\textit{corresponds to step 4 of algorithm 7.11}) in this algorithm. -By line @68,mu@ the pointer $tmpx1$ points to the $m$'th digit of $x$ which is where the final carry will be placed. Similarly by line @71,for@ the -same pointer will point to the $m+1$'th digit where the zeroes will be placed. +By line @68,mu@ the pointer $tmpx1$ points to the $m$'th digit of $x$ which is where the final carry will be placed. Similarly by line @71,for@ the +same pointer will point to the $m+1$'th digit where the zeroes will be placed. -Since the algorithm is only valid if both $x$ and $n$ are greater than zero an unsigned comparison suffices to determine if another pass is required. +Since the algorithm is only valid if both $x$ and $n$ are greater than zero an unsigned comparison suffices to determine if another pass is required. With the same logic at line @82,sub@ the value of $x$ is known to be greater than or equal to $n$ meaning that an unsigned subtraction can be used as well. Since the destination of the subtraction is the larger of the inputs the call to algorithm s\_mp\_sub cannot fail and the return code does not need to be checked. @@ -4342,20 +4331,20 @@ algorithm is much faster than either Montgomery or Barrett reduction when the mo \textbf{Algorithm mp\_reduce\_2k.} This algorithm quickly reduces an input $a$ modulo an unrestricted Diminished Radix modulus $n$. Division by $2^p$ is emulated with a right -shift which makes the algorithm fairly inexpensive to use. +shift which makes the algorithm fairly inexpensive to use. EXAM,bn_mp_reduce_2k.c The algorithm mp\_count\_bits calculates the number of bits in an mp\_int which is used to find the initial value of $p$. The call to mp\_div\_2d on line @31,mp_div_2d@ calculates both the quotient $q$ and the remainder $a$ required. By doing both in a single function call the code size is kept fairly small. The multiplication by $k$ is only performed if $k > 1$. This allows reductions modulo $2^p - 1$ to be performed without -any multiplications. +any multiplications. -The unsigned s\_mp\_add, mp\_cmp\_mag and s\_mp\_sub are used in place of their full sign counterparts since the inputs are only valid if they are -positive. By using the unsigned versions the overhead is kept to a minimum. +The unsigned s\_mp\_add, mp\_cmp\_mag and s\_mp\_sub are used in place of their full sign counterparts since the inputs are only valid if they are +positive. By using the unsigned versions the overhead is kept to a minimum. \subsubsection{Unrestricted Setup} -To setup this reduction algorithm the value of $k = 2^p - n$ is required. +To setup this reduction algorithm the value of $k = 2^p - n$ is required. \begin{figure}[!here] \begin{small} @@ -4379,7 +4368,7 @@ To setup this reduction algorithm the value of $k = 2^p - n$ is required. \textbf{Algorithm mp\_reduce\_2k\_setup.} This algorithm computes the value of $k$ required for the algorithm mp\_reduce\_2k. By making a temporary variable $x$ equal to $2^p$ a subtraction -is sufficient to solve for $k$. Alternatively if $n$ has more than one digit the value of $k$ is simply $\beta - n_0$. +is sufficient to solve for $k$. Alternatively if $n$ has more than one digit the value of $k$ is simply $\beta - n_0$. EXAM,bn_mp_reduce_2k_setup.c @@ -4418,7 +4407,7 @@ significant bit. The resulting sum will be a power of two. \end{figure} \textbf{Algorithm mp\_reduce\_is\_2k.} -This algorithm quickly determines if a modulus is of the form required for algorithm mp\_reduce\_2k to function properly. +This algorithm quickly determines if a modulus is of the form required for algorithm mp\_reduce\_2k to function properly. EXAM,bn_mp_reduce_is_2k.c @@ -4427,7 +4416,7 @@ EXAM,bn_mp_reduce_is_2k.c \section{Algorithm Comparison} So far three very different algorithms for modular reduction have been discussed. Each of the algorithms have their own strengths and weaknesses that makes having such a selection very useful. The following table sumarizes the three algorithms along with comparisons of work factors. Since -all three algorithms have the restriction that $0 \le x < n^2$ and $n > 1$ those limitations are not included in the table. +all three algorithms have the restriction that $0 \le x < n^2$ and $n > 1$ those limitations are not included in the table. \begin{center} \begin{small} @@ -4463,12 +4452,12 @@ $\left [ 4 \right ]$ & Prove that the pseudo-code algorithm ``Diminished Radix R & (\textit{figure~\ref{fig:DR}}) terminates. Also prove the probability that it will \\ & terminate within $1 \le k \le 10$ iterations. \\ & \\ -\end{tabular} +\end{tabular} \chapter{Exponentiation} Exponentiation is the operation of raising one variable to the power of another, for example, $a^b$. A variant of exponentiation, computed -in a finite field or ring, is called modular exponentiation. This latter style of operation is typically used in public key +in a finite field or ring, is called modular exponentiation. This latter style of operation is typically used in public key cryptosystems such as RSA and Diffie-Hellman. The ability to quickly compute modular exponentiations is of great benefit to any such cryptosystem and many methods have been sought to speed it up. @@ -4478,7 +4467,7 @@ the number of multiplications becomes prohibitive. Imagine what would happen if with a $1024$-bit key. Such a calculation could never be completed as it would take simply far too long. Fortunately there is a very simple algorithm based on the laws of exponents. Recall that $lg_a(a^b) = b$ and that $lg_a(a^ba^c) = b + c$ which -are two trivial relationships between the base and the exponent. Let $b_i$ represent the $i$'th bit of $b$ starting from the least +are two trivial relationships between the base and the exponent. Let $b_i$ represent the $i$'th bit of $b$ starting from the least significant bit. If $b$ is a $k$-bit integer than the following equation is true. \begin{equation} @@ -4495,7 +4484,7 @@ The term $a^{2^i}$ can be found from the $i - 1$'th term by squaring the term si $a^{2^{i+1}}$. This observation forms the basis of essentially all fast exponentiation algorithms. It requires $k$ squarings and on average $k \over 2$ multiplications to compute the result. This is indeed quite an improvement over simply multiplying by $a$ a total of $b-1$ times. -While this current method is a considerable speed up there are further improvements to be made. For example, the $a^{2^i}$ term does not need to +While this current method is a considerable speed up there are further improvements to be made. For example, the $a^{2^i}$ term does not need to be computed in an auxilary variable. Consider the following equivalent algorithm. \begin{figure}[!here] @@ -4521,7 +4510,7 @@ be computed in an auxilary variable. Consider the following equivalent algorith This algorithm starts from the most significant bit and works towards the least significant bit. When the $i$'th bit of $b$ is set $a$ is multiplied against the current product. In each iteration the product is squared which doubles the exponent of the individual terms of the -product. +product. For example, let $b = 101100_2 \equiv 44_{10}$. The following chart demonstrates the actions of the algorithm. @@ -4542,13 +4531,13 @@ For example, let $b = 101100_2 \equiv 44_{10}$. The following chart demonstrate \caption{Example of Left to Right Exponentiation} \end{figure} -When the product $a^{32} \cdot a^8 \cdot a^4$ is simplified it is equal $a^{44}$ which is the desired exponentiation. This particular algorithm is -called ``Left to Right'' because it reads the exponent in that order. All of the exponentiation algorithms that will be presented are of this nature. +When the product $a^{32} \cdot a^8 \cdot a^4$ is simplified it is equal $a^{44}$ which is the desired exponentiation. This particular algorithm is +called ``Left to Right'' because it reads the exponent in that order. All of the exponentiation algorithms that will be presented are of this nature. \subsection{Single Digit Exponentiation} -The first algorithm in the series of exponentiation algorithms will be an unbounded algorithm where the exponent is a single digit. It is intended -to be used when a small power of an input is required (\textit{e.g. $a^5$}). It is faster than simply multiplying $b - 1$ times for all values of -$b$ that are greater than three. +The first algorithm in the series of exponentiation algorithms will be an unbounded algorithm where the exponent is a single digit. It is intended +to be used when a small power of an input is required (\textit{e.g. $a^5$}). It is faster than simply multiplying $b - 1$ times for all values of +$b$ that are greater than three. \newpage\begin{figure}[!here] \begin{small} @@ -4576,10 +4565,10 @@ $b$ that are greater than three. \textbf{Algorithm mp\_expt\_d.} This algorithm computes the value of $a$ raised to the power of a single digit $b$. It uses the left to right exponentiation algorithm to -quickly compute the exponentiation. It is loosely based on algorithm 14.79 of HAC \cite[pp. 615]{HAC} with the difference that the -exponent is a fixed width. +quickly compute the exponentiation. It is loosely based on algorithm 14.79 of HAC \cite[pp. 615]{HAC} with the difference that the +exponent is a fixed width. -A copy of $a$ is made first to allow destination variable $c$ be the same as the source variable $a$. The result is set to the initial value of +A copy of $a$ is made first to allow destination variable $c$ be the same as the source variable $a$. The result is set to the initial value of $1$ in the subsequent step. Inside the loop the exponent is read from the most significant bit first down to the least significant bit. First $c$ is invariably squared @@ -4587,12 +4576,12 @@ on step 3.1. In the following step if the most significant bit of $b$ is one th of $b$ is shifted left one bit to make the next bit down from the most signficant bit the new most significant bit. In effect each iteration of the loop moves the bits of the exponent $b$ upwards to the most significant location. -EXAM,bn_mp_expt_d.c +EXAM,bn_mp_expt_d_ex.c -Line @29,mp_set@ sets the initial value of the result to $1$. Next the loop on line @31,for@ steps through each bit of the exponent starting from -the most significant down towards the least significant. The invariant squaring operation placed on line @333,mp_sqr@ is performed first. After +This describes only the algorithm that is used when the parameter $fast$ is $0$. Line @31,mp_set@ sets the initial value of the result to $1$. Next the loop on line @54,for@ steps through each bit of the exponent starting from +the most significant down towards the least significant. The invariant squaring operation placed on line @333,mp_sqr@ is performed first. After the squaring the result $c$ is multiplied by the base $g$ if and only if the most significant bit of the exponent is set. The shift on line -@47,<<@ moves all of the bits of the exponent upwards towards the most significant location. +@69,<<@ moves all of the bits of the exponent upwards towards the most significant location. \section{$k$-ary Exponentiation} When calculating an exponentiation the most time consuming bottleneck is the multiplications which are in general a small factor @@ -4625,7 +4614,7 @@ portion of the entire exponent. Consider the following modification to the basi The squaring on step 2.1 can be calculated by squaring the value $c$ successively $k$ times. If the values of $a^g$ for $0 < g < 2^k$ have been precomputed this algorithm requires only $t$ multiplications and $tk$ squarings. The table can be generated with $2^{k - 1} - 1$ squarings and -$2^{k - 1} + 1$ multiplications. This algorithm assumes that the number of bits in the exponent is evenly divisible by $k$. +$2^{k - 1} + 1$ multiplications. This algorithm assumes that the number of bits in the exponent is evenly divisible by $k$. However, when it is not the remaining $0 < x \le k - 1$ bits can be handled with algorithm~\ref{fig:LTOR}. Suppose $k = 4$ and $t = 100$. This modified algorithm will require $109$ multiplications and $408$ squarings to compute the exponentiation. The @@ -4635,7 +4624,7 @@ has increased slightly but the number of multiplications has nearly halved. \subsection{Optimal Values of $k$} An optimal value of $k$ will minimize $2^{k} + \lceil n / k \rceil + n - 1$ for a fixed number of bits in the exponent $n$. The simplest approach is to brute force search amongst the values $k = 2, 3, \ldots, 8$ for the lowest result. Table~\ref{fig:OPTK} lists optimal values of $k$ -for various exponent sizes and compares the number of multiplication and squarings required against algorithm~\ref{fig:LTOR}. +for various exponent sizes and compares the number of multiplication and squarings required against algorithm~\ref{fig:LTOR}. \begin{figure}[here] \begin{center} @@ -4661,10 +4650,10 @@ for various exponent sizes and compares the number of multiplication and squarin \subsection{Sliding-Window Exponentiation} A simple modification to the previous algorithm is only generate the upper half of the table in the range $2^{k-1} \le g < 2^k$. Essentially -this is a table for all values of $g$ where the most significant bit of $g$ is a one. However, in order for this to be allowed in the -algorithm values of $g$ in the range $0 \le g < 2^{k-1}$ must be avoided. +this is a table for all values of $g$ where the most significant bit of $g$ is a one. However, in order for this to be allowed in the +algorithm values of $g$ in the range $0 \le g < 2^{k-1}$ must be avoided. -Table~\ref{fig:OPTK2} lists optimal values of $k$ for various exponent sizes and compares the work required against algorithm~\ref{fig:KARY}. +Table~\ref{fig:OPTK2} lists optimal values of $k$ for various exponent sizes and compares the work required against algorithm {\ref{fig:KARY}}. \begin{figure}[here] \begin{center} @@ -4715,29 +4704,29 @@ Table~\ref{fig:OPTK2} lists optimal values of $k$ for various exponent sizes and Similar to the previous algorithm this algorithm must have a special handler when fewer than $k$ bits are left in the exponent. While this algorithm requires the same number of squarings it can potentially have fewer multiplications. The pre-computed table $a^g$ is also half -the size as the previous table. +the size as the previous table. -Consider the exponent $b = 111101011001000_2 \equiv 31432_{10}$ with $k = 3$ using both algorithms. The first algorithm will divide the exponent up as -the following five $3$-bit words $b \equiv \left ( 111, 101, 011, 001, 000 \right )_{2}$. The second algorithm will break the +Consider the exponent $b = 111101011001000_2 \equiv 31432_{10}$ with $k = 3$ using both algorithms. The first algorithm will divide the exponent up as +the following five $3$-bit words $b \equiv \left ( 111, 101, 011, 001, 000 \right )_{2}$. The second algorithm will break the exponent as $b \equiv \left ( 111, 101, 0, 110, 0, 100, 0 \right )_{2}$. The single digit $0$ in the second representation are where -a single squaring took place instead of a squaring and multiplication. In total the first method requires $10$ multiplications and $18$ -squarings. The second method requires $8$ multiplications and $18$ squarings. +a single squaring took place instead of a squaring and multiplication. In total the first method requires $10$ multiplications and $18$ +squarings. The second method requires $8$ multiplications and $18$ squarings. -In general the sliding window method is never slower than the generic $k$-ary method and often it is slightly faster. +In general the sliding window method is never slower than the generic $k$-ary method and often it is slightly faster. \section{Modular Exponentiation} -Modular exponentiation is essentially computing the power of a base within a finite field or ring. For example, computing -$d \equiv a^b \mbox{ (mod }c\mbox{)}$ is a modular exponentiation. Instead of first computing $a^b$ and then reducing it -modulo $c$ the intermediate result is reduced modulo $c$ after every squaring or multiplication operation. +Modular exponentiation is essentially computing the power of a base within a finite field or ring. For example, computing +$d \equiv a^b \mbox{ (mod }c\mbox{)}$ is a modular exponentiation. Instead of first computing $a^b$ and then reducing it +modulo $c$ the intermediate result is reduced modulo $c$ after every squaring or multiplication operation. This guarantees that any intermediate result is bounded by $0 \le d \le c^2 - 2c + 1$ and can be reduced modulo $c$ quickly using -one of the algorithms presented in ~REDUCTION~. +one of the algorithms presented in ~REDUCTION~. Before the actual modular exponentiation algorithm can be written a wrapper algorithm must be written first. This algorithm will allow the exponent $b$ to be negative which is computed as $c \equiv \left (1 / a \right )^{\vert b \vert} \mbox{(mod }d\mbox{)}$. The value of $(1/a) \mbox{ mod }c$ is computed using the modular inverse (\textit{see \ref{sec;modinv}}). If no inverse exists the algorithm -terminates with an error. +terminates with an error. \begin{figure}[!here] \begin{small} @@ -4764,10 +4753,10 @@ terminates with an error. \end{figure} \textbf{Algorithm mp\_exptmod.} -The first algorithm which actually performs modular exponentiation is algorithm s\_mp\_exptmod. It is a sliding window $k$-ary algorithm -which uses Barrett reduction to reduce the product modulo $p$. The second algorithm mp\_exptmod\_fast performs the same operation +The first algorithm which actually performs modular exponentiation is algorithm s\_mp\_exptmod. It is a sliding window $k$-ary algorithm +which uses Barrett reduction to reduce the product modulo $p$. The second algorithm mp\_exptmod\_fast performs the same operation except it uses either Montgomery or Diminished Radix reduction. The two latter reduction algorithms are clumped in the same exponentiation -algorithm since their arguments are essentially the same (\textit{two mp\_ints and one mp\_digit}). +algorithm since their arguments are essentially the same (\textit{two mp\_ints and one mp\_digit}). EXAM,bn_mp_exptmod.c @@ -4776,7 +4765,7 @@ negative the algorithm tries to perform a modular exponentiation with the modula the modular inverse of $G$ and $tmpX$ is assigned the absolute value of $X$. The algorithm will recuse with these new values with a positive exponent. -If the exponent is positive the algorithm resumes the exponentiation. Line @63,dr_@ determines if the modulus is of the restricted Diminished Radix +If the exponent is positive the algorithm resumes the exponentiation. Line @63,dr_@ determines if the modulus is of the restricted Diminished Radix form. If it is not line @65,reduce@ attempts to determine if it is of a unrestricted Diminished Radix form. The integer $dr$ will take on one of three values. @@ -4787,7 +4776,7 @@ of three values. \end{enumerate} Line @69,if@ determines if the fast modular exponentiation algorithm can be used. It is allowed if $dr \ne 0$ or if the modulus is odd. Otherwise, -the slower s\_mp\_exptmod algorithm is used which uses Barrett reduction. +the slower s\_mp\_exptmod algorithm is used which uses Barrett reduction. \subsection{Barrett Modular Exponentiation} @@ -4892,9 +4881,9 @@ No more windows left. Check for residual bits of exponent. \\ This algorithm computes the $x$'th power of $g$ modulo $p$ and stores the result in $y$. It takes advantage of the Barrett reduction algorithm to keep the product small throughout the algorithm. -The first two steps determine the optimal window size based on the number of bits in the exponent. The larger the exponent the +The first two steps determine the optimal window size based on the number of bits in the exponent. The larger the exponent the larger the window size becomes. After a window size $winsize$ has been chosen an array of $2^{winsize}$ mp\_int variables is allocated. This -table will hold the values of $g^x \mbox{ (mod }p\mbox{)}$ for $2^{winsize - 1} \le x < 2^{winsize}$. +table will hold the values of $g^x \mbox{ (mod }p\mbox{)}$ for $2^{winsize - 1} \le x < 2^{winsize}$. After the table is allocated the first power of $g$ is found. Since $g \ge p$ is allowed it must be first reduced modulo $p$ to make the rest of the algorithm more efficient. The first element of the table at $2^{winsize - 1}$ is found by squaring $M_1$ successively $winsize - 2$ @@ -4902,49 +4891,49 @@ times. The rest of the table elements are found by multiplying the previous ele Now that the table is available the sliding window may begin. The following list describes the functions of all the variables in the window. \begin{enumerate} -\item The variable $mode$ dictates how the bits of the exponent are interpreted. +\item The variable $mode$ dictates how the bits of the exponent are interpreted. \begin{enumerate} - \item When $mode = 0$ the bits are ignored since no non-zero bit of the exponent has been seen yet. For example, if the exponent were simply - $1$ then there would be $lg(\beta) - 1$ zero bits before the first non-zero bit. In this case bits are ignored until a non-zero bit is found. - \item When $mode = 1$ a non-zero bit has been seen before and a new $winsize$-bit window has not been formed yet. In this mode leading $0$ bits - are read and a single squaring is performed. If a non-zero bit is read a new window is created. + \item When $mode = 0$ the bits are ignored since no non-zero bit of the exponent has been seen yet. For example, if the exponent were simply + $1$ then there would be $lg(\beta) - 1$ zero bits before the first non-zero bit. In this case bits are ignored until a non-zero bit is found. + \item When $mode = 1$ a non-zero bit has been seen before and a new $winsize$-bit window has not been formed yet. In this mode leading $0$ bits + are read and a single squaring is performed. If a non-zero bit is read a new window is created. \item When $mode = 2$ the algorithm is in the middle of forming a window and new bits are appended to the window from the most significant bit downwards. \end{enumerate} \item The variable $bitcnt$ indicates how many bits are left in the current digit of the exponent left to be read. When it reaches zero a new digit is fetched from the exponent. -\item The variable $buf$ holds the currently read digit of the exponent. +\item The variable $buf$ holds the currently read digit of the exponent. \item The variable $digidx$ is an index into the exponents digits. It starts at the leading digit $x.used - 1$ and moves towards the trailing digit. \item The variable $bitcpy$ indicates how many bits are in the currently formed window. When it reaches $winsize$ the window is flushed and the appropriate operations performed. -\item The variable $bitbuf$ holds the current bits of the window being formed. +\item The variable $bitbuf$ holds the current bits of the window being formed. \end{enumerate} All of step 12 is the window processing loop. It will iterate while there are digits available form the exponent to read. The first step inside this loop is to extract a new digit if no more bits are available in the current digit. If there are no bits left a new digit is -read and if there are no digits left than the loop terminates. +read and if there are no digits left than the loop terminates. After a digit is made available step 12.3 will extract the most significant bit of the current digit and move all other bits in the digit -upwards. In effect the digit is read from most significant bit to least significant bit and since the digits are read from leading to +upwards. In effect the digit is read from most significant bit to least significant bit and since the digits are read from leading to trailing edges the entire exponent is read from most significant bit to least significant bit. -At step 12.5 if the $mode$ and currently extracted bit $y$ are both zero the bit is ignored and the next bit is read. This prevents the +At step 12.5 if the $mode$ and currently extracted bit $y$ are both zero the bit is ignored and the next bit is read. This prevents the algorithm from having to perform trivial squaring and reduction operations before the first non-zero bit is read. Step 12.6 and 12.7-10 handle -the two cases of $mode = 1$ and $mode = 2$ respectively. +the two cases of $mode = 1$ and $mode = 2$ respectively. FIGU,expt_state,Sliding Window State Diagram -By step 13 there are no more digits left in the exponent. However, there may be partial bits in the window left. If $mode = 2$ then -a Left-to-Right algorithm is used to process the remaining few bits. +By step 13 there are no more digits left in the exponent. However, there may be partial bits in the window left. If $mode = 2$ then +a Left-to-Right algorithm is used to process the remaining few bits. EXAM,bn_s_mp_exptmod.c Lines @31,if@ through @45,}@ determine the optimal window size based on the length of the exponent in bits. The window divisions are sorted -from smallest to greatest so that in each \textbf{if} statement only one condition must be tested. For example, by the \textbf{if} statement -on line @37,if@ the value of $x$ is already known to be greater than $140$. +from smallest to greatest so that in each \textbf{if} statement only one condition must be tested. For example, by the \textbf{if} statement +on line @37,if@ the value of $x$ is already known to be greater than $140$. The conditional piece of code beginning on line @42,ifdef@ allows the window size to be restricted to five bits. This logic is used to ensure -the table of precomputed powers of $G$ remains relatively small. +the table of precomputed powers of $G$ remains relatively small. The for loop on line @60,for@ initializes the $M$ array while lines @71,mp_init@ and @75,mp_reduce@ through @85,}@ initialize the reduction function that will be used for this modulus. @@ -4982,11 +4971,11 @@ EXAM,bn_mp_2expt.c \chapter{Higher Level Algorithms} This chapter discusses the various higher level algorithms that are required to complete a well rounded multiple precision integer package. These -routines are less performance oriented than the algorithms of chapters five, six and seven but are no less important. +routines are less performance oriented than the algorithms of chapters five, six and seven but are no less important. The first section describes a method of integer division with remainder that is universally well known. It provides the signed division logic -for the package. The subsequent section discusses a set of algorithms which allow a single digit to be the 2nd operand for a variety of operations. -These algorithms serve mostly to simplify other algorithms where small constants are required. The last two sections discuss how to manipulate +for the package. The subsequent section discusses a set of algorithms which allow a single digit to be the 2nd operand for a variety of operations. +These algorithms serve mostly to simplify other algorithms where small constants are required. The last two sections discuss how to manipulate various representations of integers. For example, converting from an mp\_int to a string of character. \section{Integer Division with Remainder} @@ -4994,7 +4983,7 @@ various representations of integers. For example, converting from an mp\_int to Integer division aside from modular exponentiation is the most intensive algorithm to compute. Like addition, subtraction and multiplication the basis of this algorithm is the long-hand division algorithm taught to school children. Throughout this discussion several common variables -will be used. Let $x$ represent the divisor and $y$ represent the dividend. Let $q$ represent the integer quotient $\lfloor y / x \rfloor$ and +will be used. Let $x$ represent the divisor and $y$ represent the dividend. Let $q$ represent the integer quotient $\lfloor y / x \rfloor$ and let $r$ represent the remainder $r = y - x \lfloor y / x \rfloor$. The following simple algorithm will be used to start the discussion. \newpage\begin{figure}[!here] @@ -5024,42 +5013,42 @@ let $r$ represent the remainder $r = y - x \lfloor y / x \rfloor$. The followin As children we are taught this very simple algorithm for the case of $\beta = 10$. Almost instinctively several optimizations are taught for which their reason of existing are never explained. For this example let $y = 5471$ represent the dividend and $x = 23$ represent the divisor. -To find the first digit of the quotient the value of $k$ must be maximized such that $kx\beta^t$ is less than or equal to $y$ and +To find the first digit of the quotient the value of $k$ must be maximized such that $kx\beta^t$ is less than or equal to $y$ and simultaneously $(k + 1)x\beta^t$ is greater than $y$. Implicitly $k$ is the maximum value the $t$'th digit of the quotient may have. The habitual method used to find the maximum is to ``eyeball'' the two numbers, typically only the leading digits and quickly estimate a quotient. By only using leading -digits a much simpler division may be used to form an educated guess at what the value must be. In this case $k = \lfloor 54/23\rfloor = 2$ quickly -arises as a possible solution. Indeed $2x\beta^2 = 4600$ is less than $y = 5471$ and simultaneously $(k + 1)x\beta^2 = 6900$ is larger than $y$. +digits a much simpler division may be used to form an educated guess at what the value must be. In this case $k = \lfloor 54/23\rfloor = 2$ quickly +arises as a possible solution. Indeed $2x\beta^2 = 4600$ is less than $y = 5471$ and simultaneously $(k + 1)x\beta^2 = 6900$ is larger than $y$. As a result $k\beta^2$ is added to the quotient which now equals $q = 200$ and $4600$ is subtracted from $y$ to give a remainder of $y = 841$. -Again this process is repeated to produce the quotient digit $k = 3$ which makes the quotient $q = 200 + 3\beta = 230$ and the remainder +Again this process is repeated to produce the quotient digit $k = 3$ which makes the quotient $q = 200 + 3\beta = 230$ and the remainder $y = 841 - 3x\beta = 181$. Finally the last iteration of the loop produces $k = 7$ which leads to the quotient $q = 230 + 7 = 237$ and the -remainder $y = 181 - 7x = 20$. The final quotient and remainder found are $q = 237$ and $r = y = 20$ which are indeed correct since -$237 \cdot 23 + 20 = 5471$ is true. +remainder $y = 181 - 7x = 20$. The final quotient and remainder found are $q = 237$ and $r = y = 20$ which are indeed correct since +$237 \cdot 23 + 20 = 5471$ is true. \subsection{Quotient Estimation} \label{sec:divest} As alluded to earlier the quotient digit $k$ can be estimated from only the leading digits of both the divisor and dividend. When $p$ leading digits are used from both the divisor and dividend to form an estimation the accuracy of the estimation rises as $p$ grows. Technically speaking the estimation is based on assuming the lower $\vert \vert y \vert \vert - p$ and $\vert \vert x \vert \vert - p$ lower digits of the -dividend and divisor are zero. +dividend and divisor are zero. The value of the estimation may off by a few values in either direction and in general is fairly correct. A simplification \cite[pp. 271]{TAOCPV2} -of the estimation technique is to use $t + 1$ digits of the dividend and $t$ digits of the divisor, in particularly when $t = 1$. The estimate -using this technique is never too small. For the following proof let $t = \vert \vert y \vert \vert - 1$ and $s = \vert \vert x \vert \vert - 1$ +of the estimation technique is to use $t + 1$ digits of the dividend and $t$ digits of the divisor, in particularly when $t = 1$. The estimate +using this technique is never too small. For the following proof let $t = \vert \vert y \vert \vert - 1$ and $s = \vert \vert x \vert \vert - 1$ represent the most significant digits of the dividend and divisor respectively. -\textbf{Proof.}\textit{ The quotient $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ is greater than or equal to +\textbf{Proof.}\textit{ The quotient $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ is greater than or equal to $k = \lfloor y / (x \cdot \beta^{\vert \vert y \vert \vert - \vert \vert x \vert \vert - 1}) \rfloor$. } -The first obvious case is when $\hat k = \beta - 1$ in which case the proof is concluded since the real quotient cannot be larger. For all other +The first obvious case is when $\hat k = \beta - 1$ in which case the proof is concluded since the real quotient cannot be larger. For all other cases $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ and $\hat k x_s \ge y_t\beta + y_{t-1} - x_s + 1$. The latter portion of the inequalility -$-x_s + 1$ arises from the fact that a truncated integer division will give the same quotient for at most $x_s - 1$ values. Next a series of +$-x_s + 1$ arises from the fact that a truncated integer division will give the same quotient for at most $x_s - 1$ values. Next a series of inequalities will prove the hypothesis. \begin{equation} y - \hat k x \le y - \hat k x_s\beta^s \end{equation} -This is trivially true since $x \ge x_s\beta^s$. Next we replace $\hat kx_s\beta^s$ by the previous inequality for $\hat kx_s$. +This is trivially true since $x \ge x_s\beta^s$. Next we replace $\hat kx_s\beta^s$ by the previous inequality for $\hat kx_s$. \begin{equation} y - \hat k x \le y_t\beta^t + \ldots + y_0 - (y_t\beta^t + y_{t-1}\beta^{t-1} - x_s\beta^t + \beta^s) @@ -5084,13 +5073,13 @@ Which proves that $y - \hat kx \le x$ and by consequence $\hat k \ge k$ which co For the purposes of division a normalized input is when the divisors leading digit $x_n$ is greater than or equal to $\beta / 2$. By multiplying both $x$ and $y$ by $j = \lfloor (\beta / 2) / x_n \rfloor$ the quotient remains unchanged and the remainder is simply $j$ times the original remainder. The purpose of normalization is to ensure the leading digit of the divisor is sufficiently large such that the estimated quotient will -lie in the domain of a single digit. Consider the maximum dividend $(\beta - 1) \cdot \beta + (\beta - 1)$ and the minimum divisor $\beta / 2$. +lie in the domain of a single digit. Consider the maximum dividend $(\beta - 1) \cdot \beta + (\beta - 1)$ and the minimum divisor $\beta / 2$. -\begin{equation} -{{\beta^2 - 1} \over { \beta / 2}} \le 2\beta - {2 \over \beta} +\begin{equation} +{{\beta^2 - 1} \over { \beta / 2}} \le 2\beta - {2 \over \beta} \end{equation} -At most the quotient approaches $2\beta$, however, in practice this will not occur since that would imply the previous quotient digit was too small. +At most the quotient approaches $2\beta$, however, in practice this will not occur since that would imply the previous quotient digit was too small. \subsection{Radix-$\beta$ Division with Remainder} \newpage\begin{figure}[!here] @@ -5188,23 +5177,23 @@ Finalize the result. \\ This algorithm will calculate quotient and remainder from an integer division given a dividend and divisor. The algorithm is a signed division and will produce a fully qualified quotient and remainder. -First the divisor $b$ must be non-zero which is enforced in step one. If the divisor is larger than the dividend than the quotient is implicitly -zero and the remainder is the dividend. +First the divisor $b$ must be non-zero which is enforced in step one. If the divisor is larger than the dividend than the quotient is implicitly +zero and the remainder is the dividend. After the first two trivial cases of inputs are handled the variable $q$ is setup to receive the digits of the quotient. Two unsigned copies of the divisor $y$ and dividend $x$ are made as well. The core of the division algorithm is an unsigned division and will only work if the values are -positive. Now the two values $x$ and $y$ must be normalized such that the leading digit of $y$ is greater than or equal to $\beta / 2$. -This is performed by shifting both to the left by enough bits to get the desired normalization. +positive. Now the two values $x$ and $y$ must be normalized such that the leading digit of $y$ is greater than or equal to $\beta / 2$. +This is performed by shifting both to the left by enough bits to get the desired normalization. -At this point the division algorithm can begin producing digits of the quotient. Recall that maximum value of the estimation used is +At this point the division algorithm can begin producing digits of the quotient. Recall that maximum value of the estimation used is $2\beta - {2 \over \beta}$ which means that a digit of the quotient must be first produced by another means. In this case $y$ is shifted -to the left (\textit{step ten}) so that it has the same number of digits as $x$. The loop on step eleven will subtract multiples of the +to the left (\textit{step ten}) so that it has the same number of digits as $x$. The loop on step eleven will subtract multiples of the shifted copy of $y$ until $x$ is smaller. Since the leading digit of $y$ is greater than or equal to $\beta/2$ this loop will iterate at most two -times to produce the desired leading digit of the quotient. +times to produce the desired leading digit of the quotient. Now the remainder of the digits can be produced. The equation $\hat q = \lfloor {{x_i \beta + x_{i-1}}\over y_t} \rfloor$ is used to fairly accurately approximate the true quotient digit. The estimation can in theory produce an estimation as high as $2\beta - {2 \over \beta}$ but by -induction the upper quotient digit is correct (\textit{as established on step eleven}) and the estimate must be less than $\beta$. +induction the upper quotient digit is correct (\textit{as established on step eleven}) and the estimate must be less than $\beta$. Recall from section~\ref{sec:divest} that the estimation is never too low but may be too high. The next step of the estimation process is to refine the estimation. The loop on step 13.5 uses $x_i\beta^2 + x_{i-1}\beta + x_{i-2}$ and $q_{i - t - 1}(y_t\beta + y_{t-1})$ as a higher @@ -5212,51 +5201,51 @@ order approximation to adjust the quotient digit. After both phases of estimation the quotient digit may still be off by a value of one\footnote{This is similar to the error introduced by optimizing Barrett reduction.}. Steps 13.6 and 13.7 subtract the multiple of the divisor from the dividend (\textit{Similar to step 3.3 of -algorithm~\ref{fig:raddiv}} and then subsequently add a multiple of the divisor if the quotient was too large. +algorithm~\ref{fig:raddiv}} and then subsequently add a multiple of the divisor if the quotient was too large. -Now that the quotient has been determine finializing the result is a matter of clamping the quotient, fixing the sizes and de-normalizing the +Now that the quotient has been determine finializing the result is a matter of clamping the quotient, fixing the sizes and de-normalizing the remainder. An important aspect of this algorithm seemingly overlooked in other descriptions such as that of Algorithm 14.20 HAC \cite[pp. 598]{HAC} -is that when the estimations are being made (\textit{inside the loop on step 13.5}) that the digits $y_{t-1}$, $x_{i-2}$ and $x_{i-1}$ may lie +is that when the estimations are being made (\textit{inside the loop on step 13.5}) that the digits $y_{t-1}$, $x_{i-2}$ and $x_{i-1}$ may lie outside their respective boundaries. For example, if $t = 0$ or $i \le 1$ then the digits would be undefined. In those cases the digits should -respectively be replaced with a zero. +respectively be replaced with a zero. EXAM,bn_mp_div.c The implementation of this algorithm differs slightly from the pseudo code presented previously. In this algorithm either of the quotient $c$ or remainder $d$ may be passed as a \textbf{NULL} pointer which indicates their value is not desired. For example, the C code to call the division -algorithm with only the quotient is +algorithm with only the quotient is \begin{verbatim} mp_div(&a, &b, &c, NULL); /* c = [a/b] */ \end{verbatim} -Lines @108,if@ and @113,if@ handle the two trivial cases of inputs which are division by zero and dividend smaller than the divisor -respectively. After the two trivial cases all of the temporary variables are initialized. Line @147,neg@ determines the sign of -the quotient and line @148,sign@ ensures that both $x$ and $y$ are positive. +Lines @108,if@ and @113,if@ handle the two trivial cases of inputs which are division by zero and dividend smaller than the divisor +respectively. After the two trivial cases all of the temporary variables are initialized. Line @147,neg@ determines the sign of +the quotient and line @148,sign@ ensures that both $x$ and $y$ are positive. The number of bits in the leading digit is calculated on line @151,norm@. Implictly an mp\_int with $r$ digits will require $lg(\beta)(r-1) + k$ bits of precision which when reduced modulo $lg(\beta)$ produces the value of $k$. In this case $k$ is the number of bits in the leading digit which is exactly what is required. For the algorithm to operate $k$ must equal $lg(\beta) - 1$ and when it does not the inputs must be normalized by shifting them to the left by $lg(\beta) - 1 - k$ bits. -Throughout the variables $n$ and $t$ will represent the highest digit of $x$ and $y$ respectively. These are first used to produce the +Throughout the variables $n$ and $t$ will represent the highest digit of $x$ and $y$ respectively. These are first used to produce the leading digit of the quotient. The loop beginning on line @184,for@ will produce the remainder of the quotient digits. The conditional ``continue'' on line @186,continue@ is used to prevent the algorithm from reading past the leading edge of $x$ which can occur when the algorithm eliminates multiple non-zero digits in a single iteration. This ensures that $x_i$ is always non-zero since by definition the digits -above the $i$'th position $x$ must be zero in order for the quotient to be precise\footnote{Precise as far as integer division is concerned.}. +above the $i$'th position $x$ must be zero in order for the quotient to be precise\footnote{Precise as far as integer division is concerned.}. -Lines @214,t1@, @216,t1@ and @222,t2@ through @225,t2@ manually construct the high accuracy estimations by setting the digits of the two mp\_int -variables directly. +Lines @214,t1@, @216,t1@ and @222,t2@ through @225,t2@ manually construct the high accuracy estimations by setting the digits of the two mp\_int +variables directly. \section{Single Digit Helpers} -This section briefly describes a series of single digit helper algorithms which come in handy when working with small constants. All of +This section briefly describes a series of single digit helper algorithms which come in handy when working with small constants. All of the helper functions assume the single digit input is positive and will treat them as such. \subsection{Single Digit Addition and Subtraction} -Both addition and subtraction are performed by ``cheating'' and using mp\_set followed by the higher level addition or subtraction +Both addition and subtraction are performed by ``cheating'' and using mp\_set followed by the higher level addition or subtraction algorithms. As a result these algorithms are subtantially simpler with a slight cost in performance. \newpage\begin{figure}[!here] @@ -5322,17 +5311,17 @@ only has one digit. \caption{Algorithm mp\_mul\_d} \end{figure} \textbf{Algorithm mp\_mul\_d.} -This algorithm quickly multiplies an mp\_int by a small single digit value. It is specially tailored to the job and has a minimal of overhead. -Unlike the full multiplication algorithms this algorithm does not require any significnat temporary storage or memory allocations. +This algorithm quickly multiplies an mp\_int by a small single digit value. It is specially tailored to the job and has a minimal of overhead. +Unlike the full multiplication algorithms this algorithm does not require any significnat temporary storage or memory allocations. EXAM,bn_mp_mul_d.c -In this implementation the destination $c$ may point to the same mp\_int as the source $a$ since the result is written after the digit is -read from the source. This function uses pointer aliases $tmpa$ and $tmpc$ for the digits of $a$ and $c$ respectively. +In this implementation the destination $c$ may point to the same mp\_int as the source $a$ since the result is written after the digit is +read from the source. This function uses pointer aliases $tmpa$ and $tmpc$ for the digits of $a$ and $c$ respectively. \subsection{Single Digit Division} Like the single digit multiplication algorithm, single digit division is also a fairly common algorithm used in radix conversion. Since the -divisor is only a single digit a specialized variant of the division algorithm can be used to compute the quotient. +divisor is only a single digit a specialized variant of the division algorithm can be used to compute the quotient. \newpage\begin{figure}[!here] \begin{small} @@ -5369,35 +5358,35 @@ divisor is only a single digit a specialized variant of the division algorithm c \textbf{Algorithm mp\_div\_d.} This algorithm divides the mp\_int $a$ by the single mp\_digit $b$ using an optimized approach. Essentially in every iteration of the algorithm another digit of the dividend is reduced and another digit of quotient produced. Provided $b < \beta$ the value of $\hat w$ -after step 7.1 will be limited such that $0 \le \lfloor \hat w / b \rfloor < \beta$. +after step 7.1 will be limited such that $0 \le \lfloor \hat w / b \rfloor < \beta$. If the divisor $b$ is equal to three a variant of this algorithm is used which is called mp\_div\_3. It replaces the division by three with a multiplication by $\lfloor \beta / 3 \rfloor$ and the appropriate shift and residual fixup. In essence it is much like the Barrett reduction -from chapter seven. +from chapter seven. EXAM,bn_mp_div_d.c Like the implementation of algorithm mp\_div this algorithm allows either of the quotient or remainder to be passed as a \textbf{NULL} pointer to indicate the respective value is not required. This allows a trivial single digit modular reduction algorithm, mp\_mod\_d to be created. -The division and remainder on lines @44,/@ and @45,%@ can be replaced often by a single division on most processors. For example, the 32-bit x86 based -processors can divide a 64-bit quantity by a 32-bit quantity and produce the quotient and remainder simultaneously. Unfortunately the GCC -compiler does not recognize that optimization and will actually produce two function calls to find the quotient and remainder respectively. +The division and remainder on lines @90,/@ and @91,-@ can be replaced often by a single division on most processors. For example, the 32-bit x86 based +processors can divide a 64-bit quantity by a 32-bit quantity and produce the quotient and remainder simultaneously. Unfortunately the GCC +compiler does not recognize that optimization and will actually produce two function calls to find the quotient and remainder respectively. \subsection{Single Digit Root Extraction} -Finding the $n$'th root of an integer is fairly easy as far as numerical analysis is concerned. Algorithms such as the Newton-Raphson approximation -(\ref{eqn:newton}) series will converge very quickly to a root for any continuous function $f(x)$. +Finding the $n$'th root of an integer is fairly easy as far as numerical analysis is concerned. Algorithms such as the Newton-Raphson approximation +(\ref{eqn:newton}) series will converge very quickly to a root for any continuous function $f(x)$. \begin{equation} x_{i+1} = x_i - {f(x_i) \over f'(x_i)} \label{eqn:newton} \end{equation} -In this case the $n$'th root is desired and $f(x) = x^n - a$ where $a$ is the integer of which the root is desired. The derivative of $f(x)$ is +In this case the $n$'th root is desired and $f(x) = x^n - a$ where $a$ is the integer of which the root is desired. The derivative of $f(x)$ is simply $f'(x) = nx^{n - 1}$. Of particular importance is that this algorithm will be used over the integers not over the a more continuous domain -such as the real numbers. As a result the root found can be above the true root by few and must be manually adjusted. Ideally at the end of the -algorithm the $n$'th root $b$ of an integer $a$ is desired such that $b^n \le a$. +such as the real numbers. As a result the root found can be above the true root by few and must be manually adjusted. Ideally at the end of the +algorithm the $n$'th root $b$ of an integer $a$ is desired such that $b^n \le a$. \newpage\begin{figure}[!here] \begin{small} @@ -5438,19 +5427,19 @@ algorithm the $n$'th root $b$ of an integer $a$ is desired such that $b^n \le a$ \textbf{Algorithm mp\_n\_root.} This algorithm finds the integer $n$'th root of an input using the Newton-Raphson approach. It is partially optimized based on the observation that the numerator of ${f(x) \over f'(x)}$ can be derived from a partial denominator. That is at first the denominator is calculated by finding -$x^{b - 1}$. This value can then be multiplied by $x$ and have $a$ subtracted from it to find the numerator. This saves a total of $b - 1$ -multiplications by t$1$ inside the loop. +$x^{b - 1}$. This value can then be multiplied by $x$ and have $a$ subtracted from it to find the numerator. This saves a total of $b - 1$ +multiplications by t$1$ inside the loop. The initial value of the approximation is t$2 = 2$ which allows the algorithm to start with very small values and quickly converge on the -root. Ideally this algorithm is meant to find the $n$'th root of an input where $n$ is bounded by $2 \le n \le 5$. +root. Ideally this algorithm is meant to find the $n$'th root of an input where $n$ is bounded by $2 \le n \le 5$. EXAM,bn_mp_n_root.c \section{Random Number Generation} -Random numbers come up in a variety of activities from public key cryptography to simple simulations and various randomized algorithms. Pollard-Rho +Random numbers come up in a variety of activities from public key cryptography to simple simulations and various randomized algorithms. Pollard-Rho factoring for example, can make use of random values as starting points to find factors of a composite integer. In this case the algorithm presented -is solely for simulations and not intended for cryptographic use. +is solely for simulations and not intended for cryptographic use. \newpage\begin{figure}[!here] \begin{small} @@ -5478,7 +5467,7 @@ is solely for simulations and not intended for cryptographic use. \textbf{Algorithm mp\_rand.} This algorithm produces a pseudo-random integer of $b$ digits. By ensuring that the first digit is non-zero the algorithm also guarantees that the final result has at least $b$ digits. It relies heavily on a third-part random number generator which should ideally generate uniformly all of -the integers from $0$ to $\beta - 1$. +the integers from $0$ to $\beta - 1$. EXAM,bn_mp_rand.c @@ -5488,7 +5477,7 @@ be given a string of characters such as ``114585'' and turn it into the radix-$\ into a program. \subsection{Reading Radix-n Input} -For the purposes of this text we will assume that a simple lower ASCII map (\ref{fig:ASC}) is used for the values of from $0$ to $63$ to +For the purposes of this text we will assume that a simple lower ASCII map (\ref{fig:ASC}) is used for the values of from $0$ to $63$ to printable characters. For example, when the character ``N'' is read it represents the integer $23$. The first $16$ characters of the map are for the common representations up to hexadecimal. After that they match the ``base64'' encoding scheme which are suitable chosen such that they are printable. While outputting as base64 may not be too helpful for human operators it does allow communication via non binary @@ -5498,7 +5487,7 @@ mediums. \begin{center} \begin{tabular}{cc|cc|cc|cc} \hline \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} \\ -\hline +\hline 0 & 0 & 1 & 1 & 2 & 2 & 3 & 3 \\ 4 & 4 & 5 & 5 & 6 & 6 & 7 & 7 \\ 8 & 8 & 9 & 9 & 10 & A & 11 & B \\ @@ -5552,7 +5541,7 @@ mediums. \caption{Algorithm mp\_read\_radix} \end{figure} \textbf{Algorithm mp\_read\_radix.} -This algorithm will read an ASCII string and produce the radix-$\beta$ mp\_int representation of the same integer. A minus symbol ``-'' may precede the +This algorithm will read an ASCII string and produce the radix-$\beta$ mp\_int representation of the same integer. A minus symbol ``-'' may precede the string to indicate the value is negative, otherwise it is assumed to be positive. The algorithm will read up to $sn$ characters from the input and will stop when it reads a character it cannot map the algorithm stops reading characters from the string. This allows numbers to be embedded as part of larger input without any significant problem. @@ -5560,7 +5549,7 @@ as part of larger input without any significant problem. EXAM,bn_mp_read_radix.c \subsection{Generating Radix-$n$ Output} -Generating radix-$n$ output is fairly trivial with a division and remainder algorithm. +Generating radix-$n$ output is fairly trivial with a division and remainder algorithm. \newpage\begin{figure}[!here] \begin{small} @@ -5594,10 +5583,10 @@ Generating radix-$n$ output is fairly trivial with a division and remainder algo \caption{Algorithm mp\_toradix} \end{figure} \textbf{Algorithm mp\_toradix.} -This algorithm computes the radix-$r$ representation of an mp\_int $a$. The ``digits'' of the representation are extracted by reducing +This algorithm computes the radix-$r$ representation of an mp\_int $a$. The ``digits'' of the representation are extracted by reducing successive powers of $\lfloor a / r^k \rfloor$ the input modulo $r$ until $r^k > a$. Note that instead of actually dividing by $r^k$ in each iteration the quotient $\lfloor a / r \rfloor$ is saved for the next iteration. As a result a series of trivial $n \times 1$ divisions -are required instead of a series of $n \times k$ divisions. One design flaw of this approach is that the digits are produced in the reverse order +are required instead of a series of $n \times k$ divisions. One design flaw of this approach is that the digits are produced in the reverse order (see~\ref{fig:mpradix}). To remedy this flaw the digits must be swapped or simply ``reversed''. \begin{figure} @@ -5619,7 +5608,7 @@ are required instead of a series of $n \times k$ divisions. One design flaw of EXAM,bn_mp_toradix.c \chapter{Number Theoretic Algorithms} -This chapter discusses several fundamental number theoretic algorithms such as the greatest common divisor, least common multiple and Jacobi +This chapter discusses several fundamental number theoretic algorithms such as the greatest common divisor, least common multiple and Jacobi symbol computation. These algorithms arise as essential components in several key cryptographic algorithms such as the RSA public key algorithm and various Sieve based factoring algorithms. @@ -5629,7 +5618,7 @@ both $a$ and $b$. That is, $k$ is the largest integer such that $0 \equiv a \mb simultaneously. The most common approach (cite) is to reduce one input modulo another. That is if $a$ and $b$ are divisible by some integer $k$ and if $qa + r = b$ then -$r$ is also divisible by $k$. The reduction pattern follows $\left < a , b \right > \rightarrow \left < b, a \mbox{ mod } b \right >$. +$r$ is also divisible by $k$. The reduction pattern follows $\left < a , b \right > \rightarrow \left < b, a \mbox{ mod } b \right >$. \newpage\begin{figure}[!here] \begin{small} @@ -5653,9 +5642,9 @@ $r$ is also divisible by $k$. The reduction pattern follows $\left < a , b \rig \end{figure} This algorithm will quickly converge on the greatest common divisor since the residue $r$ tends diminish rapidly. However, divisions are -relatively expensive operations to perform and should ideally be avoided. There is another approach based on a similar relationship of -greatest common divisors. The faster approach is based on the observation that if $k$ divides both $a$ and $b$ it will also divide $a - b$. -In particular, we would like $a - b$ to decrease in magnitude which implies that $b \ge a$. +relatively expensive operations to perform and should ideally be avoided. There is another approach based on a similar relationship of +greatest common divisors. The faster approach is based on the observation that if $k$ divides both $a$ and $b$ it will also divide $a - b$. +In particular, we would like $a - b$ to decrease in magnitude which implies that $b \ge a$. \begin{figure}[!here] \begin{small} @@ -5679,17 +5668,17 @@ In particular, we would like $a - b$ to decrease in magnitude which implies that \textbf{Proof} \textit{Algorithm~\ref{fig:gcd2} will return the greatest common divisor of $a$ and $b$.} The algorithm in figure~\ref{fig:gcd2} will eventually terminate since $b \ge a$ the subtraction in step 1.2 will be a value less than $b$. In other -words in every iteration that tuple $\left < a, b \right >$ decrease in magnitude until eventually $a = b$. Since both $a$ and $b$ are always -divisible by the greatest common divisor (\textit{until the last iteration}) and in the last iteration of the algorithm $b = 0$, therefore, in the +words in every iteration that tuple $\left < a, b \right >$ decrease in magnitude until eventually $a = b$. Since both $a$ and $b$ are always +divisible by the greatest common divisor (\textit{until the last iteration}) and in the last iteration of the algorithm $b = 0$, therefore, in the second to last iteration of the algorithm $b = a$ and clearly $(a, a) = a$ which concludes the proof. \textbf{QED}. -As a matter of practicality algorithm \ref{fig:gcd1} decreases far too slowly to be useful. Specially if $b$ is much larger than $a$ such that +As a matter of practicality algorithm \ref{fig:gcd1} decreases far too slowly to be useful. Specially if $b$ is much larger than $a$ such that $b - a$ is still very much larger than $a$. A simple addition to the algorithm is to divide $b - a$ by a power of some integer $p$ which does not divide the greatest common divisor but will divide $b - a$. In this case ${b - a} \over p$ is also an integer and still divisible by the greatest common divisor. -However, instead of factoring $b - a$ to find a suitable value of $p$ the powers of $p$ can be removed from $a$ and $b$ that are in common first. -Then inside the loop whenever $b - a$ is divisible by some power of $p$ it can be safely removed. +However, instead of factoring $b - a$ to find a suitable value of $p$ the powers of $p$ can be removed from $a$ and $b$ that are in common first. +Then inside the loop whenever $b - a$ is divisible by some power of $p$ it can be safely removed. \begin{figure}[!here] \begin{small} @@ -5722,14 +5711,14 @@ Then inside the loop whenever $b - a$ is divisible by some power of $p$ it can b \label{fig:gcd3} \end{figure} -This algorithm is based on the first except it removes powers of $p$ first and inside the main loop to ensure the tuple $\left < a, b \right >$ +This algorithm is based on the first except it removes powers of $p$ first and inside the main loop to ensure the tuple $\left < a, b \right >$ decreases more rapidly. The first loop on step two removes powers of $p$ that are in common. A count, $k$, is kept which will present a common -divisor of $p^k$. After step two the remaining common divisor of $a$ and $b$ cannot be divisible by $p$. This means that $p$ can be safely -divided out of the difference $b - a$ so long as the division leaves no remainder. +divisor of $p^k$. After step two the remaining common divisor of $a$ and $b$ cannot be divisible by $p$. This means that $p$ can be safely +divided out of the difference $b - a$ so long as the division leaves no remainder. In particular the value of $p$ should be chosen such that the division on step 5.3.1 occur often. It also helps that division by $p$ be easy to compute. The ideal choice of $p$ is two since division by two amounts to a right logical shift. Another important observation is that by -step five both $a$ and $b$ are odd. Therefore, the diffrence $b - a$ must be even which means that each iteration removes one bit from the +step five both $a$ and $b$ are odd. Therefore, the diffrence $b - a$ must be even which means that each iteration removes one bit from the largest of the pair. \subsection{Complete Greatest Common Divisor} @@ -5777,15 +5766,15 @@ and will produce the greatest common divisor. \textbf{Algorithm mp\_gcd.} This algorithm will produce the greatest common divisor of two mp\_ints $a$ and $b$. The algorithm was originally based on Algorithm B of Knuth \cite[pp. 338]{TAOCPV2} but has been modified to be simpler to explain. In theory it achieves the same asymptotic working time as -Algorithm B and in practice this appears to be true. +Algorithm B and in practice this appears to be true. -The first two steps handle the cases where either one of or both inputs are zero. If either input is zero the greatest common divisor is the -largest input or zero if they are both zero. If the inputs are not trivial than $u$ and $v$ are assigned the absolute values of +The first two steps handle the cases where either one of or both inputs are zero. If either input is zero the greatest common divisor is the +largest input or zero if they are both zero. If the inputs are not trivial than $u$ and $v$ are assigned the absolute values of $a$ and $b$ respectively and the algorithm will proceed to reduce the pair. Step five will divide out any common factors of two and keep track of the count in the variable $k$. After this step, two is no longer a -factor of the remaining greatest common divisor between $u$ and $v$ and can be safely evenly divided out of either whenever they are even. Step -six and seven ensure that the $u$ and $v$ respectively have no more factors of two. At most only one of the while--loops will iterate since +factor of the remaining greatest common divisor between $u$ and $v$ and can be safely evenly divided out of either whenever they are even. Step +six and seven ensure that the $u$ and $v$ respectively have no more factors of two. At most only one of the while--loops will iterate since they cannot both be even. By step eight both of $u$ and $v$ are odd which is required for the inner logic. First the pair are swapped such that $v$ is equal to @@ -5793,22 +5782,22 @@ or greater than $u$. This ensures that the subtraction on step 8.2 will always factors of two from the difference $u$ to ensure that in the next iteration of the loop both are once again odd. After $v = 0$ occurs the variable $u$ has the greatest common divisor of the pair $\left < u, v \right >$ just after step six. The result -must be adjusted by multiplying by the common factors of two ($2^k$) removed earlier. +must be adjusted by multiplying by the common factors of two ($2^k$) removed earlier. EXAM,bn_mp_gcd.c -This function makes use of the macros mp\_iszero and mp\_iseven. The former evaluates to $1$ if the input mp\_int is equivalent to the +This function makes use of the macros mp\_iszero and mp\_iseven. The former evaluates to $1$ if the input mp\_int is equivalent to the integer zero otherwise it evaluates to $0$. The latter evaluates to $1$ if the input mp\_int represents a non-zero even integer otherwise -it evaluates to $0$. Note that just because mp\_iseven may evaluate to $0$ does not mean the input is odd, it could also be zero. The three +it evaluates to $0$. Note that just because mp\_iseven may evaluate to $0$ does not mean the input is odd, it could also be zero. The three trivial cases of inputs are handled on lines @23,zero@ through @29,}@. After those lines the inputs are assumed to be non-zero. -Lines @32,if@ and @36,if@ make local copies $u$ and $v$ of the inputs $a$ and $b$ respectively. At this point the common factors of two +Lines @32,if@ and @36,if@ make local copies $u$ and $v$ of the inputs $a$ and $b$ respectively. At this point the common factors of two must be divided out of the two inputs. The block starting at line @43,common@ removes common factors of two by first counting the number of trailing -zero bits in both. The local integer $k$ is used to keep track of how many factors of $2$ are pulled out of both values. It is assumed that -the number of factors will not exceed the maximum value of a C ``int'' data type\footnote{Strictly speaking no array in C may have more than -entries than are accessible by an ``int'' so this is not a limitation.}. +zero bits in both. The local integer $k$ is used to keep track of how many factors of $2$ are pulled out of both values. It is assumed that +the number of factors will not exceed the maximum value of a C ``int'' data type\footnote{Strictly speaking no array in C may have more than +entries than are accessible by an ``int'' so this is not a limitation.}. -At this point there are no more common factors of two in the two values. The divisions by a power of two on lines @60,div_2d@ and @67,div_2d@ remove +At this point there are no more common factors of two in the two values. The divisions by a power of two on lines @60,div_2d@ and @67,div_2d@ remove any independent factors of two such that both $u$ and $v$ are guaranteed to be an odd integer before hitting the main body of the algorithm. The while loop on line @72, while@ performs the reduction of the pair until $v$ is equal to zero. The unsigned comparison and subtraction algorithms are used in place of the full signed routines since both values are guaranteed to be positive and the result of the subtraction is guaranteed to be non-negative. @@ -5819,8 +5808,8 @@ least common multiple is normally denoted as $[ a, b ]$ and numerically equivale and $b = 2 \cdot 3 \cdot 3 \cdot 7 = 126$ the least common multiple is ${126 \over {(12, 126)}} = {126 \over 6} = 21$. The least common multiple arises often in coding theory as well as number theory. If two functions have periods of $a$ and $b$ respectively they will -collide, that is be in synchronous states, after only $[ a, b ]$ iterations. This is why, for example, random number generators based on -Linear Feedback Shift Registers (LFSR) tend to use registers with periods which are co-prime (\textit{e.g. the greatest common divisor is one.}). +collide, that is be in synchronous states, after only $[ a, b ]$ iterations. This is why, for example, random number generators based on +Linear Feedback Shift Registers (LFSR) tend to use registers with periods which are co-prime (\textit{e.g. the greatest common divisor is one.}). Similarly in number theory if a composite $n$ has two prime factors $p$ and $q$ then maximal order of any unit of $\Z/n\Z$ will be $[ p - 1, q - 1] $. \begin{figure}[!here] @@ -5848,7 +5837,7 @@ dividing the product of the two inputs by their greatest common divisor. EXAM,bn_mp_lcm.c \section{Jacobi Symbol Computation} -To explain the Jacobi Symbol we shall first discuss the Legendre function\footnote{Arrg. What is the name of this?} off which the Jacobi symbol is +To explain the Jacobi Symbol we shall first discuss the Legendre function\footnote{Arrg. What is the name of this?} off which the Jacobi symbol is defined. The Legendre function computes whether or not an integer $a$ is a quadratic residue modulo an odd prime $p$. Numerically it is equivalent to equation \ref{eqn:legendre}. @@ -5858,9 +5847,9 @@ equivalent to equation \ref{eqn:legendre}. a^{(p-1)/2} \equiv \begin{array}{rl} -1 & \mbox{if }a\mbox{ is a quadratic non-residue.} \\ 0 & \mbox{if }a\mbox{ divides }p\mbox{.} \\ - 1 & \mbox{if }a\mbox{ is a quadratic residue}. + 1 & \mbox{if }a\mbox{ is a quadratic residue}. \end{array} \mbox{ (mod }p\mbox{)} -\label{eqn:legendre} +\label{eqn:legendre} \end{equation} \textbf{Proof.} \textit{Equation \ref{eqn:legendre} correctly identifies the residue status of an integer $a$ modulo a prime $p$.} @@ -5884,7 +5873,7 @@ then the quantity in the braces must be zero. By reduction, \begin{eqnarray} \left (x^2 \right )^{(p-1)/2} - a^{(p-1)/2} \equiv 0 \nonumber \\ \left (x^2 \right )^{(p-1)/2} \equiv a^{(p-1)/2} \nonumber \\ -x^2 \equiv a \mbox{ (mod }p\mbox{)} +x^2 \equiv a \mbox{ (mod }p\mbox{)} \end{eqnarray} As a result there must be a solution to the quadratic equation and in turn $a$ must be a quadratic residue. If $a$ does not divide $p$ and $a$ @@ -5904,47 +5893,47 @@ the Jacobi symbol $\left ( { a \over p } \right )$ is equal to the following equ By inspection if $p$ is prime the Jacobi symbol is equivalent to the Legendre function. The following facts\footnote{See HAC \cite[pp. 72-74]{HAC} for further details.} will be used to derive an efficient Jacobi symbol algorithm. Where $p$ is an odd integer greater than two and $a, b \in \Z$ the -following are true. +following are true. \begin{enumerate} -\item $\left ( { a \over p} \right )$ equals $-1$, $0$ or $1$. +\item $\left ( { a \over p} \right )$ equals $-1$, $0$ or $1$. \item $\left ( { ab \over p} \right ) = \left ( { a \over p} \right )\left ( { b \over p} \right )$. \item If $a \equiv b$ then $\left ( { a \over p} \right ) = \left ( { b \over p} \right )$. \item $\left ( { 2 \over p} \right )$ equals $1$ if $p \equiv 1$ or $7 \mbox{ (mod }8\mbox{)}$. Otherwise, it equals $-1$. -\item $\left ( { a \over p} \right ) \equiv \left ( { p \over a} \right ) \cdot (-1)^{(p-1)(a-1)/4}$. More specifically -$\left ( { a \over p} \right ) = \left ( { p \over a} \right )$ if $p \equiv a \equiv 1 \mbox{ (mod }4\mbox{)}$. +\item $\left ( { a \over p} \right ) \equiv \left ( { p \over a} \right ) \cdot (-1)^{(p-1)(a-1)/4}$. More specifically +$\left ( { a \over p} \right ) = \left ( { p \over a} \right )$ if $p \equiv a \equiv 1 \mbox{ (mod }4\mbox{)}$. \end{enumerate} Using these facts if $a = 2^k \cdot a'$ then \begin{eqnarray} \left ( { a \over p } \right ) = \left ( {{2^k} \over p } \right ) \left ( {a' \over p} \right ) \nonumber \\ - = \left ( {2 \over p } \right )^k \left ( {a' \over p} \right ) + = \left ( {2 \over p } \right )^k \left ( {a' \over p} \right ) \label{eqn:jacobi} \end{eqnarray} -By fact five, +By fact five, \begin{equation} -\left ( { a \over p } \right ) = \left ( { p \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} +\left ( { a \over p } \right ) = \left ( { p \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} \end{equation} -Subsequently by fact three since $p \equiv (p \mbox{ mod }a) \mbox{ (mod }a\mbox{)}$ then +Subsequently by fact three since $p \equiv (p \mbox{ mod }a) \mbox{ (mod }a\mbox{)}$ then \begin{equation} -\left ( { a \over p } \right ) = \left ( { {p \mbox{ mod } a} \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} +\left ( { a \over p } \right ) = \left ( { {p \mbox{ mod } a} \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} \end{equation} By putting both observations into equation \ref{eqn:jacobi} the following simplified equation is formed. \begin{equation} -\left ( { a \over p } \right ) = \left ( {2 \over p } \right )^k \left ( {{p\mbox{ mod }a'} \over a'} \right ) \cdot (-1)^{(p-1)(a'-1)/4} +\left ( { a \over p } \right ) = \left ( {2 \over p } \right )^k \left ( {{p\mbox{ mod }a'} \over a'} \right ) \cdot (-1)^{(p-1)(a'-1)/4} \end{equation} -The value of $\left ( {{p \mbox{ mod }a'} \over a'} \right )$ can be found by using the same equation recursively. The value of -$\left ( {2 \over p } \right )^k$ equals $1$ if $k$ is even otherwise it equals $\left ( {2 \over p } \right )$. Using this approach the -factors of $p$ do not have to be known. Furthermore, if $(a, p) = 1$ then the algorithm will terminate when the recursion requests the -Jacobi symbol computation of $\left ( {1 \over a'} \right )$ which is simply $1$. +The value of $\left ( {{p \mbox{ mod }a'} \over a'} \right )$ can be found by using the same equation recursively. The value of +$\left ( {2 \over p } \right )^k$ equals $1$ if $k$ is even otherwise it equals $\left ( {2 \over p } \right )$. Using this approach the +factors of $p$ do not have to be known. Furthermore, if $(a, p) = 1$ then the algorithm will terminate when the recursion requests the +Jacobi symbol computation of $\left ( {1 \over a'} \right )$ which is simply $1$. \newpage\begin{figure}[!here] \begin{small} @@ -5988,12 +5977,12 @@ Jacobi symbol computation of $\left ( {1 \over a'} \right )$ which is simply $1$ \end{figure} \textbf{Algorithm mp\_jacobi.} This algorithm computes the Jacobi symbol for an arbitrary positive integer $a$ with respect to an odd integer $p$ greater than three. The algorithm -is based on algorithm 2.149 of HAC \cite[pp. 73]{HAC}. +is based on algorithm 2.149 of HAC \cite[pp. 73]{HAC}. Step numbers one and two handle the trivial cases of $a = 0$ and $a = 1$ respectively. Step five determines the number of two factors in the -input $a$. If $k$ is even than the term $\left ( { 2 \over p } \right )^k$ must always evaluate to one. If $k$ is odd than the term evaluates to one -if $p_0$ is congruent to one or seven modulo eight, otherwise it evaluates to $-1$. After the the $\left ( { 2 \over p } \right )^k$ term is handled -the $(-1)^{(p-1)(a'-1)/4}$ is computed and multiplied against the current product $s$. The latter term evaluates to one if both $p$ and $a'$ +input $a$. If $k$ is even than the term $\left ( { 2 \over p } \right )^k$ must always evaluate to one. If $k$ is odd than the term evaluates to one +if $p_0$ is congruent to one or seven modulo eight, otherwise it evaluates to $-1$. After the the $\left ( { 2 \over p } \right )^k$ term is handled +the $(-1)^{(p-1)(a'-1)/4}$ is computed and multiplied against the current product $s$. The latter term evaluates to one if both $p$ and $a'$ are congruent to one modulo four, otherwise it evaluates to negative one. By step nine if $a'$ does not equal one a recursion is required. Step 9.1 computes $p' \equiv p \mbox{ (mod }a'\mbox{)}$ and will recurse to compute @@ -6001,22 +5990,22 @@ $\left ( {p' \over a'} \right )$ which is multiplied against the current Jacobi EXAM,bn_mp_jacobi.c -As a matter of practicality the variable $a'$ as per the pseudo-code is reprensented by the variable $a1$ since the $'$ symbol is not valid for a C -variable name character. +As a matter of practicality the variable $a'$ as per the pseudo-code is reprensented by the variable $a1$ since the $'$ symbol is not valid for a C +variable name character. The two simple cases of $a = 0$ and $a = 1$ are handled at the very beginning to simplify the algorithm. If the input is non-trivial the algorithm has to proceed compute the Jacobi. The variable $s$ is used to hold the current Jacobi product. Note that $s$ is merely a C ``int'' data type since -the values it may obtain are merely $-1$, $0$ and $1$. +the values it may obtain are merely $-1$, $0$ and $1$. After a local copy of $a$ is made all of the factors of two are divided out and the total stored in $k$. Technically only the least significant -bit of $k$ is required, however, it makes the algorithm simpler to follow to perform an addition. In practice an exclusive-or and addition have the same +bit of $k$ is required, however, it makes the algorithm simpler to follow to perform an addition. In practice an exclusive-or and addition have the same processor requirements and neither is faster than the other. Line @59, if@ through @70, }@ determines the value of $\left ( { 2 \over p } \right )^k$. If the least significant bit of $k$ is zero than $k$ is even and the value is one. Otherwise, the value of $s$ depends on which residue class $p$ belongs to modulo eight. The value of -$(-1)^{(p-1)(a'-1)/4}$ is compute and multiplied against $s$ on lines @73, if@ through @75, }@. +$(-1)^{(p-1)(a'-1)/4}$ is compute and multiplied against $s$ on lines @73, if@ through @75, }@. -Finally, if $a1$ does not equal one the algorithm must recurse and compute $\left ( {p' \over a'} \right )$. +Finally, if $a1$ does not equal one the algorithm must recurse and compute $\left ( {p' \over a'} \right )$. \textit{-- Comment about default $s$ and such...} @@ -6024,31 +6013,31 @@ Finally, if $a1$ does not equal one the algorithm must recurse and compute $\lef \label{sec:modinv} The modular inverse of a number actually refers to the modular multiplicative inverse. Essentially for any integer $a$ such that $(a, p) = 1$ there exist another integer $b$ such that $ab \equiv 1 \mbox{ (mod }p\mbox{)}$. The integer $b$ is called the multiplicative inverse of $a$ which is -denoted as $b = a^{-1}$. Technically speaking modular inversion is a well defined operation for any finite ring or field not just for rings and +denoted as $b = a^{-1}$. Technically speaking modular inversion is a well defined operation for any finite ring or field not just for rings and fields of integers. However, the former will be the matter of discussion. -The simplest approach is to compute the algebraic inverse of the input. That is to compute $b \equiv a^{\Phi(p) - 1}$. If $\Phi(p)$ is the +The simplest approach is to compute the algebraic inverse of the input. That is to compute $b \equiv a^{\Phi(p) - 1}$. If $\Phi(p)$ is the order of the multiplicative subgroup modulo $p$ then $b$ must be the multiplicative inverse of $a$. The proof of which is trivial. \begin{equation} ab \equiv a \left (a^{\Phi(p) - 1} \right ) \equiv a^{\Phi(p)} \equiv a^0 \equiv 1 \mbox{ (mod }p\mbox{)} \end{equation} -However, as simple as this approach may be it has two serious flaws. It requires that the value of $\Phi(p)$ be known which if $p$ is composite -requires all of the prime factors. This approach also is very slow as the size of $p$ grows. +However, as simple as this approach may be it has two serious flaws. It requires that the value of $\Phi(p)$ be known which if $p$ is composite +requires all of the prime factors. This approach also is very slow as the size of $p$ grows. -A simpler approach is based on the observation that solving for the multiplicative inverse is equivalent to solving the linear +A simpler approach is based on the observation that solving for the multiplicative inverse is equivalent to solving the linear Diophantine\footnote{See LeVeque \cite[pp. 40-43]{LeVeque} for more information.} equation. \begin{equation} ab + pq = 1 \end{equation} -Where $a$, $b$, $p$ and $q$ are all integers. If such a pair of integers $ \left < b, q \right >$ exist than $b$ is the multiplicative inverse of -$a$ modulo $p$. The extended Euclidean algorithm (Knuth \cite[pp. 342]{TAOCPV2}) can be used to solve such equations provided $(a, p) = 1$. +Where $a$, $b$, $p$ and $q$ are all integers. If such a pair of integers $ \left < b, q \right >$ exist than $b$ is the multiplicative inverse of +$a$ modulo $p$. The extended Euclidean algorithm (Knuth \cite[pp. 342]{TAOCPV2}) can be used to solve such equations provided $(a, p) = 1$. However, instead of using that algorithm directly a variant known as the binary Extended Euclidean algorithm will be used in its place. The -binary approach is very similar to the binary greatest common divisor algorithm except it will produce a full solution to the Diophantine -equation. +binary approach is very similar to the binary greatest common divisor algorithm except it will produce a full solution to the Diophantine +equation. \subsection{General Case} \newpage\begin{figure}[!here] @@ -6100,12 +6089,12 @@ equation. \end{small} \end{figure} \textbf{Algorithm mp\_invmod.} -This algorithm computes the modular multiplicative inverse of an integer $a$ modulo an integer $b$. This algorithm is a variation of the +This algorithm computes the modular multiplicative inverse of an integer $a$ modulo an integer $b$. This algorithm is a variation of the extended binary Euclidean algorithm from HAC \cite[pp. 608]{HAC}. It has been modified to only compute the modular inverse and not a complete -Diophantine solution. +Diophantine solution. If $b \le 0$ than the modulus is invalid and MP\_VAL is returned. Similarly if both $a$ and $b$ are even then there cannot be a multiplicative -inverse for $a$ and the error is reported. +inverse for $a$ and the error is reported. The astute reader will observe that steps seven through nine are very similar to the binary greatest common divisor algorithm mp\_gcd. In this case the other variables to the Diophantine equation are solved. The algorithm terminates when $u = 0$ in which case the solution is @@ -6115,8 +6104,8 @@ Ca + Db = v \end{equation} If $v$, the greatest common divisor of $a$ and $b$ is not equal to one then the algorithm will report an error as no inverse exists. Otherwise, $C$ -is the modular inverse of $a$. The actual value of $C$ is congruent to, but not necessarily equal to, the ideal modular inverse which should lie -within $1 \le a^{-1} < b$. Step numbers twelve and thirteen adjust the inverse until it is in range. If the original input $a$ is within $0 < a < p$ +is the modular inverse of $a$. The actual value of $C$ is congruent to, but not necessarily equal to, the ideal modular inverse which should lie +within $1 \le a^{-1} < b$. Step numbers twelve and thirteen adjust the inverse until it is in range. If the original input $a$ is within $0 < a < p$ then only a couple of additions or subtractions will be required to adjust the inverse. EXAM,bn_mp_invmod.c @@ -6124,22 +6113,22 @@ EXAM,bn_mp_invmod.c \subsubsection{Odd Moduli} When the modulus $b$ is odd the variables $A$ and $C$ are fixed and are not required to compute the inverse. In particular by attempting to solve -the Diophantine $Cb + Da = 1$ only $B$ and $D$ are required to find the inverse of $a$. +the Diophantine $Cb + Da = 1$ only $B$ and $D$ are required to find the inverse of $a$. -The algorithm fast\_mp\_invmod is a direct adaptation of algorithm mp\_invmod with all all steps involving either $A$ or $C$ removed. This +The algorithm fast\_mp\_invmod is a direct adaptation of algorithm mp\_invmod with all all steps involving either $A$ or $C$ removed. This optimization will halve the time required to compute the modular inverse. \section{Primality Tests} -A non-zero integer $a$ is said to be prime if it is not divisible by any other integer excluding one and itself. For example, $a = 7$ is prime -since the integers $2 \ldots 6$ do not evenly divide $a$. By contrast, $a = 6$ is not prime since $a = 6 = 2 \cdot 3$. +A non-zero integer $a$ is said to be prime if it is not divisible by any other integer excluding one and itself. For example, $a = 7$ is prime +since the integers $2 \ldots 6$ do not evenly divide $a$. By contrast, $a = 6$ is not prime since $a = 6 = 2 \cdot 3$. Prime numbers arise in cryptography considerably as they allow finite fields to be formed. The ability to determine whether an integer is prime or not quickly has been a viable subject in cryptography and number theory for considerable time. The algorithms that will be presented are all probablistic algorithms in that when they report an integer is composite it must be composite. However, when the algorithms report an integer is -prime the algorithm may be incorrect. +prime the algorithm may be incorrect. -As will be discussed it is possible to limit the probability of error so well that for practical purposes the probablity of error might as +As will be discussed it is possible to limit the probability of error so well that for practical purposes the probablity of error might as well be zero. For the purposes of these discussions let $n$ represent the candidate integer of which the primality is in question. \subsection{Trial Division} @@ -6153,13 +6142,13 @@ of the primes less than $\sqrt{n} + 1$ the algorithm cannot prove if a candidate The benefit of this test is that trial division by small values is fairly efficient. Specially compared to the other algorithms that will be discussed shortly. The probability that this approach correctly identifies a composite candidate when tested with all primes upto $q$ is given by -$1 - {1.12 \over ln(q)}$. The graph (\ref{pic:primality}, will be added later) demonstrates the probability of success for the range -$3 \le q \le 100$. +$1 - {1.12 \over ln(q)}$. The graph (\ref{pic:primality}, will be added later) demonstrates the probability of success for the range +$3 \le q \le 100$. -At approximately $q = 30$ the gain of performing further tests diminishes fairly quickly. At $q = 90$ further testing is generally not going to -be of any practical use. In the case of LibTomMath the default limit $q = 256$ was chosen since it is not too high and will eliminate -approximately $80\%$ of all candidate integers. The constant \textbf{PRIME\_SIZE} is equal to the number of primes in the test base. The -array \_\_prime\_tab is an array of the first \textbf{PRIME\_SIZE} prime numbers. +At approximately $q = 30$ the gain of performing further tests diminishes fairly quickly. At $q = 90$ further testing is generally not going to +be of any practical use. In the case of LibTomMath the default limit $q = 256$ was chosen since it is not too high and will eliminate +approximately $80\%$ of all candidate integers. The constant \textbf{PRIME\_SIZE} is equal to the number of primes in the test base. The +array \_\_prime\_tab is an array of the first \textbf{PRIME\_SIZE} prime numbers. \begin{figure}[!here] \begin{small} @@ -6183,27 +6172,27 @@ array \_\_prime\_tab is an array of the first \textbf{PRIME\_SIZE} prime numbers \caption{Algorithm mp\_prime\_is\_divisible} \end{figure} \textbf{Algorithm mp\_prime\_is\_divisible.} -This algorithm attempts to determine if a candidate integer $n$ is composite by performing trial divisions. +This algorithm attempts to determine if a candidate integer $n$ is composite by performing trial divisions. EXAM,bn_mp_prime_is_divisible.c -The algorithm defaults to a return of $0$ in case an error occurs. The values in the prime table are all specified to be in the range of a +The algorithm defaults to a return of $0$ in case an error occurs. The values in the prime table are all specified to be in the range of a mp\_digit. The table \_\_prime\_tab is defined in the following file. EXAM,bn_prime_tab.c Note that there are two possible tables. When an mp\_digit is 7-bits long only the primes upto $127$ may be included, otherwise the primes -upto $1619$ are used. Note that the value of \textbf{PRIME\_SIZE} is a constant dependent on the size of a mp\_digit. +upto $1619$ are used. Note that the value of \textbf{PRIME\_SIZE} is a constant dependent on the size of a mp\_digit. \subsection{The Fermat Test} -The Fermat test is probably one the oldest tests to have a non-trivial probability of success. It is based on the fact that if $n$ is in +The Fermat test is probably one the oldest tests to have a non-trivial probability of success. It is based on the fact that if $n$ is in fact prime then $a^{n} \equiv a \mbox{ (mod }n\mbox{)}$ for all $0 < a < n$. The reason being that if $n$ is prime than the order of -the multiplicative sub group is $n - 1$. Any base $a$ must have an order which divides $n - 1$ and as such $a^n$ is equivalent to -$a^1 = a$. +the multiplicative sub group is $n - 1$. Any base $a$ must have an order which divides $n - 1$ and as such $a^n$ is equivalent to +$a^1 = a$. -If $n$ is composite then any given base $a$ does not have to have a period which divides $n - 1$. In which case +If $n$ is composite then any given base $a$ does not have to have a period which divides $n - 1$. In which case it is possible that $a^n \nequiv a \mbox{ (mod }n\mbox{)}$. However, this test is not absolute as it is possible that the order -of a base will divide $n - 1$ which would then be reported as prime. Such a base yields what is known as a Fermat pseudo-prime. Several +of a base will divide $n - 1$ which would then be reported as prime. Such a base yields what is known as a Fermat pseudo-prime. Several integers known as Carmichael numbers will be a pseudo-prime to all valid bases. Fortunately such numbers are extremely rare as $n$ grows in size. @@ -6229,13 +6218,13 @@ in size. \end{figure} \textbf{Algorithm mp\_prime\_fermat.} This algorithm determines whether an mp\_int $a$ is a Fermat prime to the base $b$ or not. It uses a single modular exponentiation to -determine the result. +determine the result. EXAM,bn_mp_prime_fermat.c \subsection{The Miller-Rabin Test} -The Miller-Rabin (citation) test is another primality test which has tighter error bounds than the Fermat test specifically with sequentially chosen -candidate integers. The algorithm is based on the observation that if $n - 1 = 2^kr$ and if $b^r \nequiv \pm 1$ then after upto $k - 1$ squarings the +The Miller-Rabin (citation) test is another primality test which has tighter error bounds than the Fermat test specifically with sequentially chosen +candidate integers. The algorithm is based on the observation that if $n - 1 = 2^kr$ and if $b^r \nequiv \pm 1$ then after upto $k - 1$ squarings the value must be equal to $-1$. The squarings are stopped as soon as $-1$ is observed. If the value of $1$ is observed first it means that some value not congruent to $\pm 1$ when squared equals one which cannot occur if $n$ is prime. @@ -6271,11 +6260,11 @@ some value not congruent to $\pm 1$ when squared equals one which cannot occur i \end{figure} \textbf{Algorithm mp\_prime\_miller\_rabin.} This algorithm performs one trial round of the Miller-Rabin algorithm to the base $b$. It will set $c = 1$ if the algorithm cannot determine -if $b$ is composite or $c = 0$ if $b$ is provably composite. The values of $s$ and $r$ are computed such that $a' = a - 1 = 2^sr$. +if $b$ is composite or $c = 0$ if $b$ is provably composite. The values of $s$ and $r$ are computed such that $a' = a - 1 = 2^sr$. If the value $y \equiv b^r$ is congruent to $\pm 1$ then the algorithm cannot prove if $a$ is composite or not. Otherwise, the algorithm will square $y$ upto $s - 1$ times stopping only when $y \equiv -1$. If $y^2 \equiv 1$ and $y \nequiv \pm 1$ then the algorithm can report that $a$ -is provably composite. If the algorithm performs $s - 1$ squarings and $y \nequiv -1$ then $a$ is provably composite. If $a$ is not provably +is provably composite. If the algorithm performs $s - 1$ squarings and $y \nequiv -1$ then $a$ is provably composite. If $a$ is not provably composite then it is \textit{probably} prime. EXAM,bn_mp_prime_miller_rabin.c diff --git a/libtommath/tommath.tex b/libtommath/tommath.tex index c79a537..d70b64b 100644 --- a/libtommath/tommath.tex +++ b/libtommath/tommath.tex @@ -66,31 +66,20 @@ QUALCOMM Australia \\ } } \maketitle -This text has been placed in the public domain. This text corresponds to the v0.39 release of the +This text has been placed in the public domain. This text corresponds to the v0.39 release of the LibTomMath project. -\begin{alltt} -Tom St Denis -111 Banning Rd -Ottawa, Ontario -K2L 1C3 -Canada - -Phone: 1-613-836-3160 -Email: tomstdenis@gmail.com -\end{alltt} - -This text is formatted to the international B5 paper size of 176mm wide by 250mm tall using the \LaTeX{} +This text is formatted to the international B5 paper size of 176mm wide by 250mm tall using the \LaTeX{} {\em book} macro package and the Perl {\em booker} package. \tableofcontents \listoffigures \chapter*{Prefaces} -When I tell people about my LibTom projects and that I release them as public domain they are often puzzled. -They ask why I did it and especially why I continue to work on them for free. The best I can explain it is ``Because I can.'' -Which seems odd and perhaps too terse for adult conversation. I often qualify it with ``I am able, I am willing.'' which +When I tell people about my LibTom projects and that I release them as public domain they are often puzzled. +They ask why I did it and especially why I continue to work on them for free. The best I can explain it is ``Because I can.'' +Which seems odd and perhaps too terse for adult conversation. I often qualify it with ``I am able, I am willing.'' which perhaps explains it better. I am the first to admit there is not anything that special with what I have done. Perhaps -others can see that too and then we would have a society to be proud of. My LibTom projects are what I am doing to give +others can see that too and then we would have a society to be proud of. My LibTom projects are what I am doing to give back to society in the form of tools and knowledge that can help others in their endeavours. I started writing this book because it was the most logical task to further my goal of open academia. The LibTomMath source @@ -103,9 +92,9 @@ from relatively straightforward algebra and I hope that this book can be a valua This book and indeed much of the LibTom projects would not exist in their current form if it was not for a plethora of kind people donating their time, resources and kind words to help support my work. Writing a text of significant length (along with the source code) is a tiresome and lengthy process. Currently the LibTom project is four years old, -comprises of literally thousands of users and over 100,000 lines of source code, TeX and other material. People like Mads and Greg -were there at the beginning to encourage me to work well. It is amazing how timely validation from others can boost morale to -continue the project. Definitely my parents were there for me by providing room and board during the many months of work in 2003. +comprises of literally thousands of users and over 100,000 lines of source code, TeX and other material. People like Mads and Greg +were there at the beginning to encourage me to work well. It is amazing how timely validation from others can boost morale to +continue the project. Definitely my parents were there for me by providing room and board during the many months of work in 2003. To my many friends whom I have met through the years I thank you for the good times and the words of encouragement. I hope I honour your kind gestures with this project. @@ -115,22 +104,22 @@ Open Source. Open Academia. Open Minds. \begin{flushright} Tom St Denis \end{flushright} \newpage -I found the opportunity to work with Tom appealing for several reasons, not only could I broaden my own horizons, but also +I found the opportunity to work with Tom appealing for several reasons, not only could I broaden my own horizons, but also contribute to educate others facing the problem of having to handle big number mathematical calculations. -This book is Tom's child and he has been caring and fostering the project ever since the beginning with a clear mind of -how he wanted the project to turn out. I have helped by proofreading the text and we have had several discussions about +This book is Tom's child and he has been caring and fostering the project ever since the beginning with a clear mind of +how he wanted the project to turn out. I have helped by proofreading the text and we have had several discussions about the layout and language used. -I hold a masters degree in cryptography from the University of Southern Denmark and have always been interested in the -practical aspects of cryptography. +I hold a masters degree in cryptography from the University of Southern Denmark and have always been interested in the +practical aspects of cryptography. -Having worked in the security consultancy business for several years in S\~{a}o Paulo, Brazil, I have been in touch with a -great deal of work in which multiple precision mathematics was needed. Understanding the possibilities for speeding up -multiple precision calculations is often very important since we deal with outdated machine architecture where modular +Having worked in the security consultancy business for several years in S\~{a}o Paulo, Brazil, I have been in touch with a +great deal of work in which multiple precision mathematics was needed. Understanding the possibilities for speeding up +multiple precision calculations is often very important since we deal with outdated machine architecture where modular reductions, for example, become painfully slow. -This text is for people who stop and wonder when first examining algorithms such as RSA for the first time and asks +This text is for people who stop and wonder when first examining algorithms such as RSA for the first time and asks themselves, ``You tell me this is only secure for large numbers, fine; but how do you implement these numbers?'' \begin{flushright} @@ -142,22 +131,22 @@ Brazil \end{flushright} \newpage -It's all because I broke my leg. That just happened to be at about the same time that Tom asked for someone to review the section of the book about -Karatsuba multiplication. I was laid up, alone and immobile, and thought ``Why not?'' I vaguely knew what Karatsuba multiplication was, but not +It's all because I broke my leg. That just happened to be at about the same time that Tom asked for someone to review the section of the book about +Karatsuba multiplication. I was laid up, alone and immobile, and thought ``Why not?'' I vaguely knew what Karatsuba multiplication was, but not really, so I thought I could help, learn, and stop myself from watching daytime cable TV, all at once. -At the time of writing this, I've still not met Tom or Mads in meatspace. I've been following Tom's progress since his first splash on the +At the time of writing this, I've still not met Tom or Mads in meatspace. I've been following Tom's progress since his first splash on the sci.crypt Usenet news group. I watched him go from a clueless newbie, to the cryptographic equivalent of a reformed smoker, to a real -contributor to the field, over a period of about two years. I've been impressed with his obvious intelligence, and astounded by his productivity. +contributor to the field, over a period of about two years. I've been impressed with his obvious intelligence, and astounded by his productivity. Of course, he's young enough to be my own child, so he doesn't have my problems with staying awake. -When I reviewed that single section of the book, in its very earliest form, I was very pleasantly surprised. So I decided to collaborate more fully, -and at least review all of it, and perhaps write some bits too. There's still a long way to go with it, and I have watched a number of close -friends go through the mill of publication, so I think that the way to go is longer than Tom thinks it is. Nevertheless, it's a good effort, +When I reviewed that single section of the book, in its very earliest form, I was very pleasantly surprised. So I decided to collaborate more fully, +and at least review all of it, and perhaps write some bits too. There's still a long way to go with it, and I have watched a number of close +friends go through the mill of publication, so I think that the way to go is longer than Tom thinks it is. Nevertheless, it's a good effort, and I'm pleased to be involved with it. \begin{flushright} -Greg Rose, Sydney, Australia, June 2003. +Greg Rose, Sydney, Australia, June 2003. \end{flushright} \mainmatter @@ -167,23 +156,23 @@ Greg Rose, Sydney, Australia, June 2003. \subsection{What is Multiple Precision Arithmetic?} When we think of long-hand arithmetic such as addition or multiplication we rarely consider the fact that we instinctively -raise or lower the precision of the numbers we are dealing with. For example, in decimal we almost immediate can -reason that $7$ times $6$ is $42$. However, $42$ has two digits of precision as opposed to one digit we started with. -Further multiplications of say $3$ result in a larger precision result $126$. In these few examples we have multiple +raise or lower the precision of the numbers we are dealing with. For example, in decimal we almost immediate can +reason that $7$ times $6$ is $42$. However, $42$ has two digits of precision as opposed to one digit we started with. +Further multiplications of say $3$ result in a larger precision result $126$. In these few examples we have multiple precisions for the numbers we are working with. Despite the various levels of precision a single subset\footnote{With the occasional optimization.} - of algorithms can be designed to accomodate them. + of algorithms can be designed to accomodate them. By way of comparison a fixed or single precision operation would lose precision on various operations. For example, in the decimal system with fixed precision $6 \cdot 7 = 2$. Essentially at the heart of computer based multiple precision arithmetic are the same long-hand algorithms taught in -schools to manually add, subtract, multiply and divide. +schools to manually add, subtract, multiply and divide. \subsection{The Need for Multiple Precision Arithmetic} The most prevalent need for multiple precision arithmetic, often referred to as ``bignum'' math, is within the implementation -of public-key cryptography algorithms. Algorithms such as RSA \cite{RSAREF} and Diffie-Hellman \cite{DHREF} require -integers of significant magnitude to resist known cryptanalytic attacks. For example, at the time of this writing a -typical RSA modulus would be at least greater than $10^{309}$. However, modern programming languages such as ISO C \cite{ISOC} and +of public-key cryptography algorithms. Algorithms such as RSA \cite{RSAREF} and Diffie-Hellman \cite{DHREF} require +integers of significant magnitude to resist known cryptanalytic attacks. For example, at the time of this writing a +typical RSA modulus would be at least greater than $10^{309}$. However, modern programming languages such as ISO C \cite{ISOC} and Java \cite{JAVA} only provide instrinsic support for integers which are relatively small and single precision. \begin{figure}[!here] @@ -201,27 +190,27 @@ Java \cite{JAVA} only provide instrinsic support for integers which are relative \label{fig:ISOC} \end{figure} -The largest data type guaranteed to be provided by the ISO C programming -language\footnote{As per the ISO C standard. However, each compiler vendor is allowed to augment the precision as they -see fit.} can only represent values up to $10^{19}$ as shown in figure \ref{fig:ISOC}. On its own the C language is -insufficient to accomodate the magnitude required for the problem at hand. An RSA modulus of magnitude $10^{19}$ could be -trivially factored\footnote{A Pollard-Rho factoring would take only $2^{16}$ time.} on the average desktop computer, -rendering any protocol based on the algorithm insecure. Multiple precision algorithms solve this very problem by +The largest data type guaranteed to be provided by the ISO C programming +language\footnote{As per the ISO C standard. However, each compiler vendor is allowed to augment the precision as they +see fit.} can only represent values up to $10^{19}$ as shown in figure \ref{fig:ISOC}. On its own the C language is +insufficient to accomodate the magnitude required for the problem at hand. An RSA modulus of magnitude $10^{19}$ could be +trivially factored\footnote{A Pollard-Rho factoring would take only $2^{16}$ time.} on the average desktop computer, +rendering any protocol based on the algorithm insecure. Multiple precision algorithms solve this very problem by extending the range of representable integers while using single precision data types. -Most advancements in fast multiple precision arithmetic stem from the need for faster and more efficient cryptographic -primitives. Faster modular reduction and exponentiation algorithms such as Barrett's algorithm, which have appeared in -various cryptographic journals, can render algorithms such as RSA and Diffie-Hellman more efficient. In fact, several -major companies such as RSA Security, Certicom and Entrust have built entire product lines on the implementation and +Most advancements in fast multiple precision arithmetic stem from the need for faster and more efficient cryptographic +primitives. Faster modular reduction and exponentiation algorithms such as Barrett's algorithm, which have appeared in +various cryptographic journals, can render algorithms such as RSA and Diffie-Hellman more efficient. In fact, several +major companies such as RSA Security, Certicom and Entrust have built entire product lines on the implementation and deployment of efficient algorithms. -However, cryptography is not the only field of study that can benefit from fast multiple precision integer routines. -Another auxiliary use of multiple precision integers is high precision floating point data types. -The basic IEEE \cite{IEEE} standard floating point type is made up of an integer mantissa $q$, an exponent $e$ and a sign bit $s$. -Numbers are given in the form $n = q \cdot b^e \cdot -1^s$ where $b = 2$ is the most common base for IEEE. Since IEEE -floating point is meant to be implemented in hardware the precision of the mantissa is often fairly small +However, cryptography is not the only field of study that can benefit from fast multiple precision integer routines. +Another auxiliary use of multiple precision integers is high precision floating point data types. +The basic IEEE \cite{IEEE} standard floating point type is made up of an integer mantissa $q$, an exponent $e$ and a sign bit $s$. +Numbers are given in the form $n = q \cdot b^e \cdot -1^s$ where $b = 2$ is the most common base for IEEE. Since IEEE +floating point is meant to be implemented in hardware the precision of the mantissa is often fairly small (\textit{23, 48 and 64 bits}). The mantissa is merely an integer and a multiple precision integer could be used to create -a mantissa of much larger precision than hardware alone can efficiently support. This approach could be useful where +a mantissa of much larger precision than hardware alone can efficiently support. This approach could be useful where scientific applications must minimize the total output error over long calculations. Yet another use for large integers is within arithmetic on polynomials of large characteristic (i.e. $GF(p)[x]$ for large $p$). @@ -229,152 +218,152 @@ In fact the library discussed within this text has already been used to form a p \subsection{Benefits of Multiple Precision Arithmetic} \index{precision} -The benefit of multiple precision representations over single or fixed precision representations is that -no precision is lost while representing the result of an operation which requires excess precision. For example, -the product of two $n$-bit integers requires at least $2n$ bits of precision to be represented faithfully. A multiple -precision algorithm would augment the precision of the destination to accomodate the result while a single precision system +The benefit of multiple precision representations over single or fixed precision representations is that +no precision is lost while representing the result of an operation which requires excess precision. For example, +the product of two $n$-bit integers requires at least $2n$ bits of precision to be represented faithfully. A multiple +precision algorithm would augment the precision of the destination to accomodate the result while a single precision system would truncate excess bits to maintain a fixed level of precision. It is possible to implement algorithms which require large integers with fixed precision algorithms. For example, elliptic -curve cryptography (\textit{ECC}) is often implemented on smartcards by fixing the precision of the integers to the maximum -size the system will ever need. Such an approach can lead to vastly simpler algorithms which can accomodate the -integers required even if the host platform cannot natively accomodate them\footnote{For example, the average smartcard +curve cryptography (\textit{ECC}) is often implemented on smartcards by fixing the precision of the integers to the maximum +size the system will ever need. Such an approach can lead to vastly simpler algorithms which can accomodate the +integers required even if the host platform cannot natively accomodate them\footnote{For example, the average smartcard processor has an 8 bit accumulator.}. However, as efficient as such an approach may be, the resulting source code is not normally very flexible. It cannot, at runtime, accomodate inputs of higher magnitude than the designer anticipated. -Multiple precision algorithms have the most overhead of any style of arithmetic. For the the most part the +Multiple precision algorithms have the most overhead of any style of arithmetic. For the the most part the overhead can be kept to a minimum with careful planning, but overall, it is not well suited for most memory starved -platforms. However, multiple precision algorithms do offer the most flexibility in terms of the magnitude of the -inputs. That is, the same algorithms based on multiple precision integers can accomodate any reasonable size input -without the designer's explicit forethought. This leads to lower cost of ownership for the code as it only has to +platforms. However, multiple precision algorithms do offer the most flexibility in terms of the magnitude of the +inputs. That is, the same algorithms based on multiple precision integers can accomodate any reasonable size input +without the designer's explicit forethought. This leads to lower cost of ownership for the code as it only has to be written and tested once. \section{Purpose of This Text} -The purpose of this text is to instruct the reader regarding how to implement efficient multiple precision algorithms. -That is to not only explain a limited subset of the core theory behind the algorithms but also the various ``house keeping'' -elements that are neglected by authors of other texts on the subject. Several well reknowned texts \cite{TAOCPV2,HAC} -give considerably detailed explanations of the theoretical aspects of algorithms and often very little information -regarding the practical implementation aspects. - -In most cases how an algorithm is explained and how it is actually implemented are two very different concepts. For -example, the Handbook of Applied Cryptography (\textit{HAC}), algorithm 14.7 on page 594, gives a relatively simple -algorithm for performing multiple precision integer addition. However, the description lacks any discussion concerning +The purpose of this text is to instruct the reader regarding how to implement efficient multiple precision algorithms. +That is to not only explain a limited subset of the core theory behind the algorithms but also the various ``house keeping'' +elements that are neglected by authors of other texts on the subject. Several well reknowned texts \cite{TAOCPV2,HAC} +give considerably detailed explanations of the theoretical aspects of algorithms and often very little information +regarding the practical implementation aspects. + +In most cases how an algorithm is explained and how it is actually implemented are two very different concepts. For +example, the Handbook of Applied Cryptography (\textit{HAC}), algorithm 14.7 on page 594, gives a relatively simple +algorithm for performing multiple precision integer addition. However, the description lacks any discussion concerning the fact that the two integer inputs may be of differing magnitudes. As a result the implementation is not as simple -as the text would lead people to believe. Similarly the division routine (\textit{algorithm 14.20, pp. 598}) does not +as the text would lead people to believe. Similarly the division routine (\textit{algorithm 14.20, pp. 598}) does not discuss how to handle sign or handle the dividend's decreasing magnitude in the main loop (\textit{step \#3}). -Both texts also do not discuss several key optimal algorithms required such as ``Comba'' and Karatsuba multipliers -and fast modular inversion, which we consider practical oversights. These optimal algorithms are vital to achieve -any form of useful performance in non-trivial applications. +Both texts also do not discuss several key optimal algorithms required such as ``Comba'' and Karatsuba multipliers +and fast modular inversion, which we consider practical oversights. These optimal algorithms are vital to achieve +any form of useful performance in non-trivial applications. To solve this problem the focus of this text is on the practical aspects of implementing a multiple precision integer -package. As a case study the ``LibTomMath''\footnote{Available at \url{http://math.libtomcrypt.com}} package is used -to demonstrate algorithms with real implementations\footnote{In the ISO C programming language.} that have been field -tested and work very well. The LibTomMath library is freely available on the Internet for all uses and this text +package. As a case study the ``LibTomMath''\footnote{Available at \url{http://math.libtomcrypt.com}} package is used +to demonstrate algorithms with real implementations\footnote{In the ISO C programming language.} that have been field +tested and work very well. The LibTomMath library is freely available on the Internet for all uses and this text discusses a very large portion of the inner workings of the library. -The algorithms that are presented will always include at least one ``pseudo-code'' description followed -by the actual C source code that implements the algorithm. The pseudo-code can be used to implement the same -algorithm in other programming languages as the reader sees fit. +The algorithms that are presented will always include at least one ``pseudo-code'' description followed +by the actual C source code that implements the algorithm. The pseudo-code can be used to implement the same +algorithm in other programming languages as the reader sees fit. This text shall also serve as a walkthrough of the creation of multiple precision algorithms from scratch. Showing -the reader how the algorithms fit together as well as where to start on various taskings. +the reader how the algorithms fit together as well as where to start on various taskings. \section{Discussion and Notation} \subsection{Notation} A multiple precision integer of $n$-digits shall be denoted as $x = (x_{n-1}, \ldots, x_1, x_0)_{ \beta }$ and represent -the integer $x \equiv \sum_{i=0}^{n-1} x_i\beta^i$. The elements of the array $x$ are said to be the radix $\beta$ digits -of the integer. For example, $x = (1,2,3)_{10}$ would represent the integer -$1\cdot 10^2 + 2\cdot10^1 + 3\cdot10^0 = 123$. +the integer $x \equiv \sum_{i=0}^{n-1} x_i\beta^i$. The elements of the array $x$ are said to be the radix $\beta$ digits +of the integer. For example, $x = (1,2,3)_{10}$ would represent the integer +$1\cdot 10^2 + 2\cdot10^1 + 3\cdot10^0 = 123$. \index{mp\_int} -The term ``mp\_int'' shall refer to a composite structure which contains the digits of the integer it represents, as well -as auxilary data required to manipulate the data. These additional members are discussed further in section -\ref{sec:MPINT}. For the purposes of this text a ``multiple precision integer'' and an ``mp\_int'' are assumed to be -synonymous. When an algorithm is specified to accept an mp\_int variable it is assumed the various auxliary data members -are present as well. An expression of the type \textit{variablename.item} implies that it should evaluate to the -member named ``item'' of the variable. For example, a string of characters may have a member ``length'' which would -evaluate to the number of characters in the string. If the string $a$ equals ``hello'' then it follows that -$a.length = 5$. +The term ``mp\_int'' shall refer to a composite structure which contains the digits of the integer it represents, as well +as auxilary data required to manipulate the data. These additional members are discussed further in section +\ref{sec:MPINT}. For the purposes of this text a ``multiple precision integer'' and an ``mp\_int'' are assumed to be +synonymous. When an algorithm is specified to accept an mp\_int variable it is assumed the various auxliary data members +are present as well. An expression of the type \textit{variablename.item} implies that it should evaluate to the +member named ``item'' of the variable. For example, a string of characters may have a member ``length'' which would +evaluate to the number of characters in the string. If the string $a$ equals ``hello'' then it follows that +$a.length = 5$. For certain discussions more generic algorithms are presented to help the reader understand the final algorithm used -to solve a given problem. When an algorithm is described as accepting an integer input it is assumed the input is -a plain integer with no additional multiple-precision members. That is, algorithms that use integers as opposed to -mp\_ints as inputs do not concern themselves with the housekeeping operations required such as memory management. These +to solve a given problem. When an algorithm is described as accepting an integer input it is assumed the input is +a plain integer with no additional multiple-precision members. That is, algorithms that use integers as opposed to +mp\_ints as inputs do not concern themselves with the housekeeping operations required such as memory management. These algorithms will be used to establish the relevant theory which will subsequently be used to describe a multiple -precision algorithm to solve the same problem. +precision algorithm to solve the same problem. \subsection{Precision Notation} -The variable $\beta$ represents the radix of a single digit of a multiple precision integer and -must be of the form $q^p$ for $q, p \in \Z^+$. A single precision variable must be able to represent integers in -the range $0 \le x < q \beta$ while a double precision variable must be able to represent integers in the range -$0 \le x < q \beta^2$. The extra radix-$q$ factor allows additions and subtractions to proceed without truncation of the +The variable $\beta$ represents the radix of a single digit of a multiple precision integer and +must be of the form $q^p$ for $q, p \in \Z^+$. A single precision variable must be able to represent integers in +the range $0 \le x < q \beta$ while a double precision variable must be able to represent integers in the range +$0 \le x < q \beta^2$. The extra radix-$q$ factor allows additions and subtractions to proceed without truncation of the carry. Since all modern computers are binary, it is assumed that $q$ is two. \index{mp\_digit} \index{mp\_word} -Within the source code that will be presented for each algorithm, the data type \textbf{mp\_digit} will represent -a single precision integer type, while, the data type \textbf{mp\_word} will represent a double precision integer type. In -several algorithms (notably the Comba routines) temporary results will be stored in arrays of double precision mp\_words. -For the purposes of this text $x_j$ will refer to the $j$'th digit of a single precision array and $\hat x_j$ will refer to +Within the source code that will be presented for each algorithm, the data type \textbf{mp\_digit} will represent +a single precision integer type, while, the data type \textbf{mp\_word} will represent a double precision integer type. In +several algorithms (notably the Comba routines) temporary results will be stored in arrays of double precision mp\_words. +For the purposes of this text $x_j$ will refer to the $j$'th digit of a single precision array and $\hat x_j$ will refer to the $j$'th digit of a double precision array. Whenever an expression is to be assigned to a double precision -variable it is assumed that all single precision variables are promoted to double precision during the evaluation. +variable it is assumed that all single precision variables are promoted to double precision during the evaluation. Expressions that are assigned to a single precision variable are truncated to fit within the precision of a single precision data type. -For example, if $\beta = 10^2$ a single precision data type may represent a value in the +For example, if $\beta = 10^2$ a single precision data type may represent a value in the range $0 \le x < 10^3$, while a double precision data type may represent a value in the range $0 \le x < 10^5$. Let $a = 23$ and $b = 49$ represent two single precision variables. The single precision product shall be written as $c \leftarrow a \cdot b$ while the double precision product shall be written as $\hat c \leftarrow a \cdot b$. -In this particular case, $\hat c = 1127$ and $c = 127$. The most significant digit of the product would not fit -in a single precision data type and as a result $c \ne \hat c$. +In this particular case, $\hat c = 1127$ and $c = 127$. The most significant digit of the product would not fit +in a single precision data type and as a result $c \ne \hat c$. \subsection{Algorithm Inputs and Outputs} Within the algorithm descriptions all variables are assumed to be scalars of either single or double precision -as indicated. The only exception to this rule is when variables have been indicated to be of type mp\_int. This -distinction is important as scalars are often used as array indicies and various other counters. +as indicated. The only exception to this rule is when variables have been indicated to be of type mp\_int. This +distinction is important as scalars are often used as array indicies and various other counters. \subsection{Mathematical Expressions} -The $\lfloor \mbox{ } \rfloor$ brackets imply an expression truncated to an integer not greater than the expression +The $\lfloor \mbox{ } \rfloor$ brackets imply an expression truncated to an integer not greater than the expression itself. For example, $\lfloor 5.7 \rfloor = 5$. Similarly the $\lceil \mbox{ } \rceil$ brackets imply an expression -rounded to an integer not less than the expression itself. For example, $\lceil 5.1 \rceil = 6$. Typically when -the $/$ division symbol is used the intention is to perform an integer division with truncation. For example, -$5/2 = 2$ which will often be written as $\lfloor 5/2 \rfloor = 2$ for clarity. When an expression is written as a -fraction a real value division is implied, for example ${5 \over 2} = 2.5$. +rounded to an integer not less than the expression itself. For example, $\lceil 5.1 \rceil = 6$. Typically when +the $/$ division symbol is used the intention is to perform an integer division with truncation. For example, +$5/2 = 2$ which will often be written as $\lfloor 5/2 \rfloor = 2$ for clarity. When an expression is written as a +fraction a real value division is implied, for example ${5 \over 2} = 2.5$. The norm of a multiple precision integer, for example $\vert \vert x \vert \vert$, will be used to represent the number of digits in the representation -of the integer. For example, $\vert \vert 123 \vert \vert = 3$ and $\vert \vert 79452 \vert \vert = 5$. +of the integer. For example, $\vert \vert 123 \vert \vert = 3$ and $\vert \vert 79452 \vert \vert = 5$. \subsection{Work Effort} \index{big-Oh} -To measure the efficiency of the specified algorithms, a modified big-Oh notation is used. In this system all -single precision operations are considered to have the same cost\footnote{Except where explicitly noted.}. -That is a single precision addition, multiplication and division are assumed to take the same time to +To measure the efficiency of the specified algorithms, a modified big-Oh notation is used. In this system all +single precision operations are considered to have the same cost\footnote{Except where explicitly noted.}. +That is a single precision addition, multiplication and division are assumed to take the same time to complete. While this is generally not true in practice, it will simplify the discussions considerably. -Some algorithms have slight advantages over others which is why some constants will not be removed in -the notation. For example, a normal baseline multiplication (section \ref{sec:basemult}) requires $O(n^2)$ work while a -baseline squaring (section \ref{sec:basesquare}) requires $O({{n^2 + n}\over 2})$ work. In standard big-Oh notation these -would both be said to be equivalent to $O(n^2)$. However, -in the context of the this text this is not the case as the magnitude of the inputs will typically be rather small. As a +Some algorithms have slight advantages over others which is why some constants will not be removed in +the notation. For example, a normal baseline multiplication (section \ref{sec:basemult}) requires $O(n^2)$ work while a +baseline squaring (section \ref{sec:basesquare}) requires $O({{n^2 + n}\over 2})$ work. In standard big-Oh notation these +would both be said to be equivalent to $O(n^2)$. However, +in the context of the this text this is not the case as the magnitude of the inputs will typically be rather small. As a result small constant factors in the work effort will make an observable difference in algorithm efficiency. -All of the algorithms presented in this text have a polynomial time work level. That is, of the form -$O(n^k)$ for $n, k \in \Z^{+}$. This will help make useful comparisons in terms of the speed of the algorithms and how +All of the algorithms presented in this text have a polynomial time work level. That is, of the form +$O(n^k)$ for $n, k \in \Z^{+}$. This will help make useful comparisons in terms of the speed of the algorithms and how various optimizations will help pay off in the long run. \section{Exercises} Within the more advanced chapters a section will be set aside to give the reader some challenging exercises related to -the discussion at hand. These exercises are not designed to be prize winning problems, but instead to be thought -provoking. Wherever possible the problems are forward minded, stating problems that will be answered in subsequent -chapters. The reader is encouraged to finish the exercises as they appear to get a better understanding of the -subject material. +the discussion at hand. These exercises are not designed to be prize winning problems, but instead to be thought +provoking. Wherever possible the problems are forward minded, stating problems that will be answered in subsequent +chapters. The reader is encouraged to finish the exercises as they appear to get a better understanding of the +subject material. That being said, the problems are designed to affirm knowledge of a particular subject matter. Students in particular are encouraged to verify they can answer the problems correctly before moving on. Similar to the exercises of \cite[pp. ix]{TAOCPV2} these exercises are given a scoring system based on the difficulty of -the problem. However, unlike \cite{TAOCPV2} the problems do not get nearly as hard. The scoring of these -exercises ranges from one (the easiest) to five (the hardest). The following table sumarizes the +the problem. However, unlike \cite{TAOCPV2} the problems do not get nearly as hard. The scoring of these +exercises ranges from one (the easiest) to five (the hardest). The following table sumarizes the scoring system used. \begin{figure}[here] @@ -404,21 +393,21 @@ scoring system used. \end{figure} Problems at the first level are meant to be simple questions that the reader can answer quickly without programming a solution or -devising new theory. These problems are quick tests to see if the material is understood. Problems at the second level +devising new theory. These problems are quick tests to see if the material is understood. Problems at the second level are also designed to be easy but will require a program or algorithm to be implemented to arrive at the answer. These -two levels are essentially entry level questions. +two levels are essentially entry level questions. -Problems at the third level are meant to be a bit more difficult than the first two levels. The answer is often -fairly obvious but arriving at an exacting solution requires some thought and skill. These problems will almost always +Problems at the third level are meant to be a bit more difficult than the first two levels. The answer is often +fairly obvious but arriving at an exacting solution requires some thought and skill. These problems will almost always involve devising a new algorithm or implementing a variation of another algorithm previously presented. Readers who can answer these questions will feel comfortable with the concepts behind the topic at hand. -Problems at the fourth level are meant to be similar to those of the level three questions except they will require -additional research to be completed. The reader will most likely not know the answer right away, nor will the text provide -the exact details of the answer until a subsequent chapter. +Problems at the fourth level are meant to be similar to those of the level three questions except they will require +additional research to be completed. The reader will most likely not know the answer right away, nor will the text provide +the exact details of the answer until a subsequent chapter. -Problems at the fifth level are meant to be the hardest -problems relative to all the other problems in the chapter. People who can correctly answer fifth level problems have a +Problems at the fifth level are meant to be the hardest +problems relative to all the other problems in the chapter. People who can correctly answer fifth level problems have a mastery of the subject matter at hand. Often problems will be tied together. The purpose of this is to start a chain of thought that will be discussed in future chapters. The reader @@ -427,43 +416,43 @@ is encouraged to answer the follow-up problems and try to draw the relevance of \section{Introduction to LibTomMath} \subsection{What is LibTomMath?} -LibTomMath is a free and open source multiple precision integer library written entirely in portable ISO C. By portable it -is meant that the library does not contain any code that is computer platform dependent or otherwise problematic to use on -any given platform. +LibTomMath is a free and open source multiple precision integer library written entirely in portable ISO C. By portable it +is meant that the library does not contain any code that is computer platform dependent or otherwise problematic to use on +any given platform. The library has been successfully tested under numerous operating systems including Unix\footnote{All of these -trademarks belong to their respective rightful owners.}, MacOS, Windows, Linux, PalmOS and on standalone hardware such -as the Gameboy Advance. The library is designed to contain enough functionality to be able to develop applications such +trademarks belong to their respective rightful owners.}, MacOS, Windows, Linux, PalmOS and on standalone hardware such +as the Gameboy Advance. The library is designed to contain enough functionality to be able to develop applications such as public key cryptosystems and still maintain a relatively small footprint. \subsection{Goals of LibTomMath} -Libraries which obtain the most efficiency are rarely written in a high level programming language such as C. However, -even though this library is written entirely in ISO C, considerable care has been taken to optimize the algorithm implementations within the -library. Specifically the code has been written to work well with the GNU C Compiler (\textit{GCC}) on both x86 and ARM -processors. Wherever possible, highly efficient algorithms, such as Karatsuba multiplication, sliding window -exponentiation and Montgomery reduction have been provided to make the library more efficient. +Libraries which obtain the most efficiency are rarely written in a high level programming language such as C. However, +even though this library is written entirely in ISO C, considerable care has been taken to optimize the algorithm implementations within the +library. Specifically the code has been written to work well with the GNU C Compiler (\textit{GCC}) on both x86 and ARM +processors. Wherever possible, highly efficient algorithms, such as Karatsuba multiplication, sliding window +exponentiation and Montgomery reduction have been provided to make the library more efficient. -Even with the nearly optimal and specialized algorithms that have been included the Application Programing Interface -(\textit{API}) has been kept as simple as possible. Often generic place holder routines will make use of specialized -algorithms automatically without the developer's specific attention. One such example is the generic multiplication -algorithm \textbf{mp\_mul()} which will automatically use Toom--Cook, Karatsuba, Comba or baseline multiplication -based on the magnitude of the inputs and the configuration of the library. +Even with the nearly optimal and specialized algorithms that have been included the Application Programing Interface +(\textit{API}) has been kept as simple as possible. Often generic place holder routines will make use of specialized +algorithms automatically without the developer's specific attention. One such example is the generic multiplication +algorithm \textbf{mp\_mul()} which will automatically use Toom--Cook, Karatsuba, Comba or baseline multiplication +based on the magnitude of the inputs and the configuration of the library. -Making LibTomMath as efficient as possible is not the only goal of the LibTomMath project. Ideally the library should +Making LibTomMath as efficient as possible is not the only goal of the LibTomMath project. Ideally the library should be source compatible with another popular library which makes it more attractive for developers to use. In this case the -MPI library was used as a API template for all the basic functions. MPI was chosen because it is another library that fits -in the same niche as LibTomMath. Even though LibTomMath uses MPI as the template for the function names and argument +MPI library was used as a API template for all the basic functions. MPI was chosen because it is another library that fits +in the same niche as LibTomMath. Even though LibTomMath uses MPI as the template for the function names and argument passing conventions, it has been written from scratch by Tom St Denis. -The project is also meant to act as a learning tool for students, the logic being that no easy-to-follow ``bignum'' -library exists which can be used to teach computer science students how to perform fast and reliable multiple precision -integer arithmetic. To this end the source code has been given quite a few comments and algorithm discussion points. +The project is also meant to act as a learning tool for students, the logic being that no easy-to-follow ``bignum'' +library exists which can be used to teach computer science students how to perform fast and reliable multiple precision +integer arithmetic. To this end the source code has been given quite a few comments and algorithm discussion points. \section{Choice of LibTomMath} LibTomMath was chosen as the case study of this text not only because the author of both projects is one and the same but -for more worthy reasons. Other libraries such as GMP \cite{GMP}, MPI \cite{MPI}, LIP \cite{LIP} and OpenSSL -\cite{OPENSSL} have multiple precision integer arithmetic routines but would not be ideal for this text for +for more worthy reasons. Other libraries such as GMP \cite{GMP}, MPI \cite{MPI}, LIP \cite{LIP} and OpenSSL +\cite{OPENSSL} have multiple precision integer arithmetic routines but would not be ideal for this text for reasons that will be explained in the following sub-sections. \subsection{Code Base} @@ -472,76 +461,76 @@ segments of code littered throughout the source. This clean and uncluttered app developer can more readily discern the true intent of a given section of source code without trying to keep track of what conditional code will be used. -The code base of LibTomMath is well organized. Each function is in its own separate source code file +The code base of LibTomMath is well organized. Each function is in its own separate source code file which allows the reader to find a given function very quickly. On average there are $76$ lines of code per source file which makes the source very easily to follow. By comparison MPI and LIP are single file projects making code tracing -very hard. GMP has many conditional code segments which also hinder tracing. +very hard. GMP has many conditional code segments which also hinder tracing. When compiled with GCC for the x86 processor and optimized for speed the entire library is approximately $100$KiB\footnote{The notation ``KiB'' means $2^{10}$ octets, similarly ``MiB'' means $2^{20}$ octets.} - which is fairly small compared to GMP (over $250$KiB). LibTomMath is slightly larger than MPI (which compiles to about + which is fairly small compared to GMP (over $250$KiB). LibTomMath is slightly larger than MPI (which compiles to about $50$KiB) but LibTomMath is also much faster and more complete than MPI. \subsection{API Simplicity} -LibTomMath is designed after the MPI library and shares the API design. Quite often programs that use MPI will build -with LibTomMath without change. The function names correlate directly to the action they perform. Almost all of the -functions share the same parameter passing convention. The learning curve is fairly shallow with the API provided -which is an extremely valuable benefit for the student and developer alike. +LibTomMath is designed after the MPI library and shares the API design. Quite often programs that use MPI will build +with LibTomMath without change. The function names correlate directly to the action they perform. Almost all of the +functions share the same parameter passing convention. The learning curve is fairly shallow with the API provided +which is an extremely valuable benefit for the student and developer alike. -The LIP library is an example of a library with an API that is awkward to work with. LIP uses function names that are often ``compressed'' to -illegible short hand. LibTomMath does not share this characteristic. +The LIP library is an example of a library with an API that is awkward to work with. LIP uses function names that are often ``compressed'' to +illegible short hand. LibTomMath does not share this characteristic. The GMP library also does not return error codes. Instead it uses a POSIX.1 \cite{POSIX1} signal system where errors are signaled to the host application. This happens to be the fastest approach but definitely not the most versatile. In -effect a math error (i.e. invalid input, heap error, etc) can cause a program to stop functioning which is definitely +effect a math error (i.e. invalid input, heap error, etc) can cause a program to stop functioning which is definitely undersireable in many situations. \subsection{Optimizations} While LibTomMath is certainly not the fastest library (GMP often beats LibTomMath by a factor of two) it does -feature a set of optimal algorithms for tasks such as modular reduction, exponentiation, multiplication and squaring. GMP +feature a set of optimal algorithms for tasks such as modular reduction, exponentiation, multiplication and squaring. GMP and LIP also feature such optimizations while MPI only uses baseline algorithms with no optimizations. GMP lacks a few of the additional modular reduction optimizations that LibTomMath features\footnote{At the time of this writing GMP -only had Barrett and Montgomery modular reduction algorithms.}. +only had Barrett and Montgomery modular reduction algorithms.}. LibTomMath is almost always an order of magnitude faster than the MPI library at computationally expensive tasks such as modular -exponentiation. In the grand scheme of ``bignum'' libraries LibTomMath is faster than the average library and usually +exponentiation. In the grand scheme of ``bignum'' libraries LibTomMath is faster than the average library and usually slower than the best libraries such as GMP and OpenSSL by only a small factor. \subsection{Portability and Stability} -LibTomMath will build ``out of the box'' on any platform equipped with a modern version of the GNU C Compiler -(\textit{GCC}). This means that without changes the library will build without configuration or setting up any -variables. LIP and MPI will build ``out of the box'' as well but have numerous known bugs. Most notably the author of -MPI has recently stopped working on his library and LIP has long since been discontinued. +LibTomMath will build ``out of the box'' on any platform equipped with a modern version of the GNU C Compiler +(\textit{GCC}). This means that without changes the library will build without configuration or setting up any +variables. LIP and MPI will build ``out of the box'' as well but have numerous known bugs. Most notably the author of +MPI has recently stopped working on his library and LIP has long since been discontinued. GMP requires a configuration script to run and will not build out of the box. GMP and LibTomMath are still in active development and are very stable across a variety of platforms. \subsection{Choice} LibTomMath is a relatively compact, well documented, highly optimized and portable library which seems only natural for -the case study of this text. Various source files from the LibTomMath project will be included within the text. However, -the reader is encouraged to download their own copy of the library to actually be able to work with the library. +the case study of this text. Various source files from the LibTomMath project will be included within the text. However, +the reader is encouraged to download their own copy of the library to actually be able to work with the library. \chapter{Getting Started} \section{Library Basics} -The trick to writing any useful library of source code is to build a solid foundation and work outwards from it. First, -a problem along with allowable solution parameters should be identified and analyzed. In this particular case the +The trick to writing any useful library of source code is to build a solid foundation and work outwards from it. First, +a problem along with allowable solution parameters should be identified and analyzed. In this particular case the inability to accomodate multiple precision integers is the problem. Futhermore, the solution must be written as portable source code that is reasonably efficient across several different computer platforms. -After a foundation is formed the remainder of the library can be designed and implemented in a hierarchical fashion. -That is, to implement the lowest level dependencies first and work towards the most abstract functions last. For example, +After a foundation is formed the remainder of the library can be designed and implemented in a hierarchical fashion. +That is, to implement the lowest level dependencies first and work towards the most abstract functions last. For example, before implementing a modular exponentiation algorithm one would implement a modular reduction algorithm. -By building outwards from a base foundation instead of using a parallel design methodology the resulting project is +By building outwards from a base foundation instead of using a parallel design methodology the resulting project is highly modular. Being highly modular is a desirable property of any project as it often means the resulting product -has a small footprint and updates are easy to perform. +has a small footprint and updates are easy to perform. -Usually when I start a project I will begin with the header files. I define the data types I think I will need and -prototype the initial functions that are not dependent on other functions (within the library). After I +Usually when I start a project I will begin with the header files. I define the data types I think I will need and +prototype the initial functions that are not dependent on other functions (within the library). After I implement these base functions I prototype more dependent functions and implement them. The process repeats until -I implement all of the functions I require. For example, in the case of LibTomMath I implemented functions such as -mp\_init() well before I implemented mp\_mul() and even further before I implemented mp\_exptmod(). As an example as to -why this design works note that the Karatsuba and Toom-Cook multipliers were written \textit{after} the -dependent function mp\_exptmod() was written. Adding the new multiplication algorithms did not require changes to the -mp\_exptmod() function itself and lowered the total cost of ownership (\textit{so to speak}) and of development +I implement all of the functions I require. For example, in the case of LibTomMath I implemented functions such as +mp\_init() well before I implemented mp\_mul() and even further before I implemented mp\_exptmod(). As an example as to +why this design works note that the Karatsuba and Toom-Cook multipliers were written \textit{after} the +dependent function mp\_exptmod() was written. Adding the new multiplication algorithms did not require changes to the +mp\_exptmod() function itself and lowered the total cost of ownership (\textit{so to speak}) and of development for new algorithms. This methodology allows new algorithms to be tested in a complete framework with relative ease. \begin{center} @@ -553,40 +542,40 @@ for new algorithms. This methodology allows new algorithms to be tested in a co \end{center} Only after the majority of the functions were in place did I pursue a less hierarchical approach to auditing and optimizing -the source code. For example, one day I may audit the multipliers and the next day the polynomial basis functions. +the source code. For example, one day I may audit the multipliers and the next day the polynomial basis functions. -It only makes sense to begin the text with the preliminary data types and support algorithms required as well. +It only makes sense to begin the text with the preliminary data types and support algorithms required as well. This chapter discusses the core algorithms of the library which are the dependents for every other algorithm. \section{What is a Multiple Precision Integer?} -Recall that most programming languages, in particular ISO C \cite{ISOC}, only have fixed precision data types that on their own cannot -be used to represent values larger than their precision will allow. The purpose of multiple precision algorithms is -to use fixed precision data types to create and manipulate multiple precision integers which may represent values -that are very large. +Recall that most programming languages, in particular ISO C \cite{ISOC}, only have fixed precision data types that on their own cannot +be used to represent values larger than their precision will allow. The purpose of multiple precision algorithms is +to use fixed precision data types to create and manipulate multiple precision integers which may represent values +that are very large. As a well known analogy, school children are taught how to form numbers larger than nine by prepending more radix ten digits. In the decimal system -the largest single digit value is $9$. However, by concatenating digits together larger numbers may be represented. Newly prepended digits -(\textit{to the left}) are said to be in a different power of ten column. That is, the number $123$ can be described as having a $1$ in the hundreds -column, $2$ in the tens column and $3$ in the ones column. Or more formally $123 = 1 \cdot 10^2 + 2 \cdot 10^1 + 3 \cdot 10^0$. Computer based -multiple precision arithmetic is essentially the same concept. Larger integers are represented by adjoining fixed +the largest single digit value is $9$. However, by concatenating digits together larger numbers may be represented. Newly prepended digits +(\textit{to the left}) are said to be in a different power of ten column. That is, the number $123$ can be described as having a $1$ in the hundreds +column, $2$ in the tens column and $3$ in the ones column. Or more formally $123 = 1 \cdot 10^2 + 2 \cdot 10^1 + 3 \cdot 10^0$. Computer based +multiple precision arithmetic is essentially the same concept. Larger integers are represented by adjoining fixed precision computer words with the exception that a different radix is used. -What most people probably do not think about explicitly are the various other attributes that describe a multiple precision -integer. For example, the integer $154_{10}$ has two immediately obvious properties. First, the integer is positive, -that is the sign of this particular integer is positive as opposed to negative. Second, the integer has three digits in -its representation. There is an additional property that the integer posesses that does not concern pencil-and-paper -arithmetic. The third property is how many digits placeholders are available to hold the integer. +What most people probably do not think about explicitly are the various other attributes that describe a multiple precision +integer. For example, the integer $154_{10}$ has two immediately obvious properties. First, the integer is positive, +that is the sign of this particular integer is positive as opposed to negative. Second, the integer has three digits in +its representation. There is an additional property that the integer posesses that does not concern pencil-and-paper +arithmetic. The third property is how many digits placeholders are available to hold the integer. The human analogy of this third property is ensuring there is enough space on the paper to write the integer. For example, -if one starts writing a large number too far to the right on a piece of paper they will have to erase it and move left. +if one starts writing a large number too far to the right on a piece of paper they will have to erase it and move left. Similarly, computer algorithms must maintain strict control over memory usage to ensure that the digits of an integer -will not exceed the allowed boundaries. These three properties make up what is known as a multiple precision -integer or mp\_int for short. +will not exceed the allowed boundaries. These three properties make up what is known as a multiple precision +integer or mp\_int for short. \subsection{The mp\_int Structure} \label{sec:MPINT} -The mp\_int structure is the ISO C based manifestation of what represents a multiple precision integer. The ISO C standard does not provide for -any such data type but it does provide for making composite data types known as structures. The following is the structure definition +The mp\_int structure is the ISO C based manifestation of what represents a multiple precision integer. The ISO C standard does not provide for +any such data type but it does provide for making composite data types known as structures. The following is the structure definition used within LibTomMath. \index{mp\_int} @@ -613,46 +602,46 @@ The mp\_int structure (fig. \ref{fig:mpint}) can be broken down as follows. \begin{enumerate} \item The \textbf{used} parameter denotes how many digits of the array \textbf{dp} contain the digits used to represent -a given integer. The \textbf{used} count must be positive (or zero) and may not exceed the \textbf{alloc} count. +a given integer. The \textbf{used} count must be positive (or zero) and may not exceed the \textbf{alloc} count. -\item The \textbf{alloc} parameter denotes how -many digits are available in the array to use by functions before it has to increase in size. When the \textbf{used} count -of a result would exceed the \textbf{alloc} count all of the algorithms will automatically increase the size of the -array to accommodate the precision of the result. +\item The \textbf{alloc} parameter denotes how +many digits are available in the array to use by functions before it has to increase in size. When the \textbf{used} count +of a result would exceed the \textbf{alloc} count all of the algorithms will automatically increase the size of the +array to accommodate the precision of the result. -\item The pointer \textbf{dp} points to a dynamically allocated array of digits that represent the given multiple -precision integer. It is padded with $(\textbf{alloc} - \textbf{used})$ zero digits. The array is maintained in a least +\item The pointer \textbf{dp} points to a dynamically allocated array of digits that represent the given multiple +precision integer. It is padded with $(\textbf{alloc} - \textbf{used})$ zero digits. The array is maintained in a least significant digit order. As a pencil and paper analogy the array is organized such that the right most digits are stored -first starting at the location indexed by zero\footnote{In C all arrays begin at zero.} in the array. For example, -if \textbf{dp} contains $\lbrace a, b, c, \ldots \rbrace$ where \textbf{dp}$_0 = a$, \textbf{dp}$_1 = b$, \textbf{dp}$_2 = c$, $\ldots$ then -it would represent the integer $a + b\beta + c\beta^2 + \ldots$ +first starting at the location indexed by zero\footnote{In C all arrays begin at zero.} in the array. For example, +if \textbf{dp} contains $\lbrace a, b, c, \ldots \rbrace$ where \textbf{dp}$_0 = a$, \textbf{dp}$_1 = b$, \textbf{dp}$_2 = c$, $\ldots$ then +it would represent the integer $a + b\beta + c\beta^2 + \ldots$ \index{MP\_ZPOS} \index{MP\_NEG} -\item The \textbf{sign} parameter denotes the sign as either zero/positive (\textbf{MP\_ZPOS}) or negative (\textbf{MP\_NEG}). +\item The \textbf{sign} parameter denotes the sign as either zero/positive (\textbf{MP\_ZPOS}) or negative (\textbf{MP\_NEG}). \end{enumerate} \subsubsection{Valid mp\_int Structures} -Several rules are placed on the state of an mp\_int structure and are assumed to be followed for reasons of efficiency. +Several rules are placed on the state of an mp\_int structure and are assumed to be followed for reasons of efficiency. The only exceptions are when the structure is passed to initialization functions such as mp\_init() and mp\_init\_copy(). \begin{enumerate} \item The value of \textbf{alloc} may not be less than one. That is \textbf{dp} always points to a previously allocated array of digits. \item The value of \textbf{used} may not exceed \textbf{alloc} and must be greater than or equal to zero. -\item The value of \textbf{used} implies the digit at index $(used - 1)$ of the \textbf{dp} array is non-zero. That is, +\item The value of \textbf{used} implies the digit at index $(used - 1)$ of the \textbf{dp} array is non-zero. That is, leading zero digits in the most significant positions must be trimmed. \begin{enumerate} \item Digits in the \textbf{dp} array at and above the \textbf{used} location must be zero. \end{enumerate} -\item The value of \textbf{sign} must be \textbf{MP\_ZPOS} if \textbf{used} is zero; +\item The value of \textbf{sign} must be \textbf{MP\_ZPOS} if \textbf{used} is zero; this represents the mp\_int value of zero. \end{enumerate} \section{Argument Passing} -A convention of argument passing must be adopted early on in the development of any library. Making the function -prototypes consistent will help eliminate many headaches in the future as the library grows to significant complexity. -In LibTomMath the multiple precision integer functions accept parameters from left to right as pointers to mp\_int -structures. That means that the source (input) operands are placed on the left and the destination (output) on the right. +A convention of argument passing must be adopted early on in the development of any library. Making the function +prototypes consistent will help eliminate many headaches in the future as the library grows to significant complexity. +In LibTomMath the multiple precision integer functions accept parameters from left to right as pointers to mp\_int +structures. That means that the source (input) operands are placed on the left and the destination (output) on the right. Consider the following examples. \begin{verbatim} @@ -665,25 +654,25 @@ The left to right order is a fairly natural way to implement the functions since functions and make sense of them. For example, the first function would read ``multiply a and b and store in c''. Certain libraries (\textit{LIP by Lenstra for instance}) accept parameters the other way around, to mimic the order -of assignment expressions. That is, the destination (output) is on the left and arguments (inputs) are on the right. In -truth, it is entirely a matter of preference. In the case of LibTomMath the convention from the MPI library has been -adopted. - -Another very useful design consideration, provided for in LibTomMath, is whether to allow argument sources to also be a -destination. For example, the second example (\textit{mp\_add}) adds $a$ to $b$ and stores in $a$. This is an important -feature to implement since it allows the calling functions to cut down on the number of variables it must maintain. -However, to implement this feature specific care has to be given to ensure the destination is not modified before the +of assignment expressions. That is, the destination (output) is on the left and arguments (inputs) are on the right. In +truth, it is entirely a matter of preference. In the case of LibTomMath the convention from the MPI library has been +adopted. + +Another very useful design consideration, provided for in LibTomMath, is whether to allow argument sources to also be a +destination. For example, the second example (\textit{mp\_add}) adds $a$ to $b$ and stores in $a$. This is an important +feature to implement since it allows the calling functions to cut down on the number of variables it must maintain. +However, to implement this feature specific care has to be given to ensure the destination is not modified before the source is fully read. \section{Return Values} -A well implemented application, no matter what its purpose, should trap as many runtime errors as possible and return them -to the caller. By catching runtime errors a library can be guaranteed to prevent undefined behaviour. However, the end +A well implemented application, no matter what its purpose, should trap as many runtime errors as possible and return them +to the caller. By catching runtime errors a library can be guaranteed to prevent undefined behaviour. However, the end developer can still manage to cause a library to crash. For example, by passing an invalid pointer an application may fault by dereferencing memory not owned by the application. -In the case of LibTomMath the only errors that are checked for are related to inappropriate inputs (division by zero for -instance) and memory allocation errors. It will not check that the mp\_int passed to any function is valid nor -will it check pointers for validity. Any function that can cause a runtime error will return an error code as an +In the case of LibTomMath the only errors that are checked for are related to inappropriate inputs (division by zero for +instance) and memory allocation errors. It will not check that the mp\_int passed to any function is valid nor +will it check pointers for validity. Any function that can cause a runtime error will return an error code as an \textbf{int} data type with one of the following values (fig \ref{fig:errcodes}). \index{MP\_OKAY} \index{MP\_VAL} \index{MP\_MEM} @@ -702,7 +691,7 @@ will it check pointers for validity. Any function that can cause a runtime erro \end{figure} When an error is detected within a function it should free any memory it allocated, often during the initialization of -temporary mp\_ints, and return as soon as possible. The goal is to leave the system in the same state it was when the +temporary mp\_ints, and return as soon as possible. The goal is to leave the system in the same state it was when the function was called. Error checking with this style of API is fairly simple. \begin{verbatim} @@ -713,19 +702,19 @@ function was called. Error checking with this style of API is fairly simple. } \end{verbatim} -The GMP \cite{GMP} library uses C style \textit{signals} to flag errors which is of questionable use. Not all errors are fatal +The GMP \cite{GMP} library uses C style \textit{signals} to flag errors which is of questionable use. Not all errors are fatal and it was not deemed ideal by the author of LibTomMath to force developers to have signal handlers for such cases. \section{Initialization and Clearing} -The logical starting point when actually writing multiple precision integer functions is the initialization and +The logical starting point when actually writing multiple precision integer functions is the initialization and clearing of the mp\_int structures. These two algorithms will be used by the majority of the higher level algorithms. Given the basic mp\_int structure an initialization routine must first allocate memory to hold the digits of the integer. Often it is optimal to allocate a sufficiently large pre-set number of digits even though the initial integer will represent zero. If only a single digit were allocated quite a few subsequent re-allocations would occur when operations are performed on the integers. There is a tradeoff between how many default digits to allocate -and how many re-allocations are tolerable. Obviously allocating an excessive amount of digits initially will waste -memory and become unmanageable. +and how many re-allocations are tolerable. Obviously allocating an excessive amount of digits initially will waste +memory and become unmanageable. If the memory for the digits has been successfully allocated then the rest of the members of the structure must be initialized. Since the initial state of an mp\_int is to represent the zero integer, the allocated digits must be set @@ -760,16 +749,16 @@ structure are set to valid values. The mp\_init algorithm will perform such an \textbf{Algorithm mp\_init.} The purpose of this function is to initialize an mp\_int structure so that the rest of the library can properly manipulte it. It is assumed that the input may not have had any of its members previously initialized which is certainly -a valid assumption if the input resides on the stack. +a valid assumption if the input resides on the stack. Before any of the members such as \textbf{sign}, \textbf{used} or \textbf{alloc} are initialized the memory for -the digits is allocated. If this fails the function returns before setting any of the other members. The \textbf{MP\_PREC} -name represents a constant\footnote{Defined in the ``tommath.h'' header file within LibTomMath.} +the digits is allocated. If this fails the function returns before setting any of the other members. The \textbf{MP\_PREC} +name represents a constant\footnote{Defined in the ``tommath.h'' header file within LibTomMath.} used to dictate the minimum precision of newly initialized mp\_int integers. Ideally, it is at least equal to the smallest precision number you'll be working with. Allocating a block of digits at first instead of a single digit has the benefit of lowering the number of usually slow -heap operations later functions will have to perform in the future. If \textbf{MP\_PREC} is set correctly the slack +heap operations later functions will have to perform in the future. If \textbf{MP\_PREC} is set correctly the slack memory and the number of heap operations will be trivial. Once the allocation has been made the digits have to be set to zero as well as the \textbf{used}, \textbf{sign} and @@ -781,38 +770,65 @@ This function introduces the idiosyncrasy that all iterative loops, commonly ini when the ``to'' keyword is placed between two expressions. For example, ``for $a$ from $b$ to $c$ do'' means that a subsequent expression (or body of expressions) are to be evaluated upto $c - b$ times so long as $b \le c$. In each iteration the variable $a$ is substituted for a new integer that lies inclusively between $b$ and $c$. If $b > c$ occured -the loop would not iterate. By contrast if the ``downto'' keyword were used in place of ``to'' the loop would iterate +the loop would not iterate. By contrast if the ``downto'' keyword were used in place of ``to'' the loop would iterate decrementally. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_init.c \vspace{-3mm} \begin{alltt} +016 +017 /* init a new mp_int */ +018 int mp_init (mp_int * a) +019 \{ +020 int i; +021 +022 /* allocate memory required and clear it */ +023 a->dp = OPT_CAST(mp_digit) XMALLOC (sizeof (mp_digit) * MP_PREC); +024 if (a->dp == NULL) \{ +025 return MP_MEM; +026 \} +027 +028 /* set the digits to zero */ +029 for (i = 0; i < MP_PREC; i++) \{ +030 a->dp[i] = 0; +031 \} +032 +033 /* set the used to zero, allocated digits to the default precision +034 * and sign to positive */ +035 a->used = 0; +036 a->alloc = MP_PREC; +037 a->sign = MP_ZPOS; +038 +039 return MP_OKAY; +040 \} +041 #endif +042 \end{alltt} \end{small} -One immediate observation of this initializtion function is that it does not return a pointer to a mp\_int structure. It -is assumed that the caller has already allocated memory for the mp\_int structure, typically on the application stack. The -call to mp\_init() is used only to initialize the members of the structure to a known default state. +One immediate observation of this initializtion function is that it does not return a pointer to a mp\_int structure. It +is assumed that the caller has already allocated memory for the mp\_int structure, typically on the application stack. The +call to mp\_init() is used only to initialize the members of the structure to a known default state. -Here we see (line 24) the memory allocation is performed first. This allows us to exit cleanly and quickly +Here we see (line 23) the memory allocation is performed first. This allows us to exit cleanly and quickly if there is an error. If the allocation fails the routine will return \textbf{MP\_MEM} to the caller to indicate there was a memory error. The function XMALLOC is what actually allocates the memory. Technically XMALLOC is not a function but a macro defined in ``tommath.h``. By default, XMALLOC will evaluate to malloc() which is the C library's built--in memory allocation routine. In order to assure the mp\_int is in a known state the digits must be set to zero. On most platforms this could have been -accomplished by using calloc() instead of malloc(). However, to correctly initialize a integer type to a given value in a -portable fashion you have to actually assign the value. The for loop (line 30) performs this required +accomplished by using calloc() instead of malloc(). However, to correctly initialize a integer type to a given value in a +portable fashion you have to actually assign the value. The for loop (line 29) performs this required operation. -After the memory has been successfully initialized the remainder of the members are initialized -(lines 34 through 35) to their respective default states. At this point the algorithm has succeeded and -a success code is returned to the calling function. If this function returns \textbf{MP\_OKAY} it is safe to assume the -mp\_int structure has been properly initialized and is safe to use with other functions within the library. +After the memory has been successfully initialized the remainder of the members are initialized +(lines 33 through 34) to their respective default states. At this point the algorithm has succeeded and +a success code is returned to the calling function. If this function returns \textbf{MP\_OKAY} it is safe to assume the +mp\_int structure has been properly initialized and is safe to use with other functions within the library. \subsection{Clearing an mp\_int} -When an mp\_int is no longer required by the application, the memory that has been allocated for its digits must be +When an mp\_int is no longer required by the application, the memory that has been allocated for its digits must be returned to the application's memory pool with the mp\_clear algorithm. \begin{figure}[here] @@ -837,12 +853,12 @@ returned to the application's memory pool with the mp\_clear algorithm. \end{figure} \textbf{Algorithm mp\_clear.} -This algorithm accomplishes two goals. First, it clears the digits and the other mp\_int members. This ensures that +This algorithm accomplishes two goals. First, it clears the digits and the other mp\_int members. This ensures that if a developer accidentally re-uses a cleared structure it is less likely to cause problems. The second goal is to free the allocated memory. The logic behind the algorithm is extended by marking cleared mp\_int structures so that subsequent calls to this -algorithm will not try to free the memory multiple times. Cleared mp\_ints are detectable by having a pre-defined invalid +algorithm will not try to free the memory multiple times. Cleared mp\_ints are detectable by having a pre-defined invalid digit pointer \textbf{dp} setting. Once an mp\_int has been cleared the mp\_int structure is no longer in a valid state for any other algorithm @@ -852,36 +868,61 @@ with the exception of algorithms mp\_init, mp\_init\_copy, mp\_init\_size and mp \hspace{-5.1mm}{\bf File}: bn\_mp\_clear.c \vspace{-3mm} \begin{alltt} +016 +017 /* clear one (frees) */ +018 void +019 mp_clear (mp_int * a) +020 \{ +021 int i; +022 +023 /* only do anything if a hasn't been freed previously */ +024 if (a->dp != NULL) \{ +025 /* first zero the digits */ +026 for (i = 0; i < a->used; i++) \{ +027 a->dp[i] = 0; +028 \} +029 +030 /* free ram */ +031 XFREE(a->dp); +032 +033 /* reset members to make debugging easier */ +034 a->dp = NULL; +035 a->alloc = a->used = 0; +036 a->sign = MP_ZPOS; +037 \} +038 \} +039 #endif +040 \end{alltt} \end{small} -The algorithm only operates on the mp\_int if it hasn't been previously cleared. The if statement (line 25) +The algorithm only operates on the mp\_int if it hasn't been previously cleared. The if statement (line 24) checks to see if the \textbf{dp} member is not \textbf{NULL}. If the mp\_int is a valid mp\_int then \textbf{dp} cannot be \textbf{NULL} in which case the if statement will evaluate to true. -The digits of the mp\_int are cleared by the for loop (line 27) which assigns a zero to every digit. Similar to mp\_init() -the digits are assigned zero instead of using block memory operations (such as memset()) since this is more portable. +The digits of the mp\_int are cleared by the for loop (line 26) which assigns a zero to every digit. Similar to mp\_init() +the digits are assigned zero instead of using block memory operations (such as memset()) since this is more portable. The digits are deallocated off the heap via the XFREE macro. Similar to XMALLOC the XFREE macro actually evaluates to a standard C library function. In this case the free() function. Since free() only deallocates the memory the pointer -still has to be reset to \textbf{NULL} manually (line 35). +still has to be reset to \textbf{NULL} manually (line 34). -Now that the digits have been cleared and deallocated the other members are set to their final values (lines 36 and 37). +Now that the digits have been cleared and deallocated the other members are set to their final values (lines 35 and 36). \section{Maintenance Algorithms} The previous sections describes how to initialize and clear an mp\_int structure. To further support operations that are to be performed on mp\_int structures (such as addition and multiplication) the dependent algorithms must be -able to augment the precision of an mp\_int and -initialize mp\_ints with differing initial conditions. +able to augment the precision of an mp\_int and +initialize mp\_ints with differing initial conditions. These algorithms complete the set of low level algorithms required to work with mp\_int structures in the higher level algorithms such as addition, multiplication and modular exponentiation. \subsection{Augmenting an mp\_int's Precision} -When storing a value in an mp\_int structure, a sufficient number of digits must be available to accomodate the entire -result of an operation without loss of precision. Quite often the size of the array given by the \textbf{alloc} member -is large enough to simply increase the \textbf{used} digit count. However, when the size of the array is too small it +When storing a value in an mp\_int structure, a sufficient number of digits must be available to accomodate the entire +result of an operation without loss of precision. Quite often the size of the array given by the \textbf{alloc} member +is large enough to simply increase the \textbf{used} digit count. However, when the size of the array is too small it must be re-sized appropriately to accomodate the result. The mp\_grow algorithm will provide this functionality. \newpage\begin{figure}[here] @@ -907,20 +948,58 @@ must be re-sized appropriately to accomodate the result. The mp\_grow algorithm \end{figure} \textbf{Algorithm mp\_grow.} -It is ideal to prevent re-allocations from being performed if they are not required (step one). This is useful to -prevent mp\_ints from growing excessively in code that erroneously calls mp\_grow. +It is ideal to prevent re-allocations from being performed if they are not required (step one). This is useful to +prevent mp\_ints from growing excessively in code that erroneously calls mp\_grow. -The requested digit count is padded up to next multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} (steps two and three). -This helps prevent many trivial reallocations that would grow an mp\_int by trivially small values. +The requested digit count is padded up to next multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} (steps two and three). +This helps prevent many trivial reallocations that would grow an mp\_int by trivially small values. -It is assumed that the reallocation (step four) leaves the lower $a.alloc$ digits of the mp\_int intact. This is much -akin to how the \textit{realloc} function from the standard C library works. Since the newly allocated digits are +It is assumed that the reallocation (step four) leaves the lower $a.alloc$ digits of the mp\_int intact. This is much +akin to how the \textit{realloc} function from the standard C library works. Since the newly allocated digits are assumed to contain undefined values they are initially set to zero. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_grow.c \vspace{-3mm} \begin{alltt} +016 +017 /* grow as required */ +018 int mp_grow (mp_int * a, int size) +019 \{ +020 int i; +021 mp_digit *tmp; +022 +023 /* if the alloc size is smaller alloc more ram */ +024 if (a->alloc < size) \{ +025 /* ensure there are always at least MP_PREC digits extra on top */ +026 size += (MP_PREC * 2) - (size % MP_PREC); +027 +028 /* reallocate the array a->dp +029 * +030 * We store the return in a temporary variable +031 * in case the operation failed we don't want +032 * to overwrite the dp member of a. +033 */ +034 tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * size); +035 if (tmp == NULL) \{ +036 /* reallocation failed but "a" is still valid [can be freed] */ +037 return MP_MEM; +038 \} +039 +040 /* reallocation succeeded so set a->dp */ +041 a->dp = tmp; +042 +043 /* zero excess digits */ +044 i = a->alloc; +045 a->alloc = size; +046 for (; i < a->alloc; i++) \{ +047 a->dp[i] = 0; +048 \} +049 \} +050 return MP_OKAY; +051 \} +052 #endif +053 \end{alltt} \end{small} @@ -929,19 +1008,19 @@ if the \textbf{alloc} member of the mp\_int is smaller than the requested digit the function skips the re-allocation part thus saving time. When a re-allocation is performed it is turned into an optimal request to save time in the future. The requested digit count is -padded upwards to 2nd multiple of \textbf{MP\_PREC} larger than \textbf{alloc} (line 25). The XREALLOC function is used +padded upwards to 2nd multiple of \textbf{MP\_PREC} larger than \textbf{alloc} (line 26). The XREALLOC function is used to re-allocate the memory. As per the other functions XREALLOC is actually a macro which evaluates to realloc by default. The realloc function leaves the base of the allocation intact which means the first \textbf{alloc} digits of the mp\_int are the same as before the re-allocation. All that is left is to clear the newly allocated digits and return. Note that the re-allocation result is actually stored in a temporary pointer $tmp$. This is to allow this function to return an error with a valid pointer. Earlier releases of the library stored the result of XREALLOC into the mp\_int $a$. That would -result in a memory leak if XREALLOC ever failed. +result in a memory leak if XREALLOC ever failed. \subsection{Initializing Variable Precision mp\_ints} -Occasionally the number of digits required will be known in advance of an initialization, based on, for example, the size -of input mp\_ints to a given algorithm. The purpose of algorithm mp\_init\_size is similar to mp\_init except that it -will allocate \textit{at least} a specified number of digits. +Occasionally the number of digits required will be known in advance of an initialization, based on, for example, the size +of input mp\_ints to a given algorithm. The purpose of algorithm mp\_init\_size is similar to mp\_init except that it +will allocate \textit{at least} a specified number of digits. \begin{figure}[here] \begin{small} @@ -968,12 +1047,12 @@ will allocate \textit{at least} a specified number of digits. \end{figure} \textbf{Algorithm mp\_init\_size.} -This algorithm will initialize an mp\_int structure $a$ like algorithm mp\_init with the exception that the number of -digits allocated can be controlled by the second input argument $b$. The input size is padded upwards so it is a -multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} digits. This padding is used to prevent trivial +This algorithm will initialize an mp\_int structure $a$ like algorithm mp\_init with the exception that the number of +digits allocated can be controlled by the second input argument $b$. The input size is padded upwards so it is a +multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} digits. This padding is used to prevent trivial allocations from becoming a bottleneck in the rest of the algorithms. -Like algorithm mp\_init, the mp\_int structure is initialized to a default state representing the integer zero. This +Like algorithm mp\_init, the mp\_int structure is initialized to a default state representing the integer zero. This particular algorithm is useful if it is known ahead of time the approximate size of the input. If the approximation is correct no further memory re-allocations are required to work with the mp\_int. @@ -981,22 +1060,51 @@ correct no further memory re-allocations are required to work with the mp\_int. \hspace{-5.1mm}{\bf File}: bn\_mp\_init\_size.c \vspace{-3mm} \begin{alltt} +016 +017 /* init an mp_init for a given size */ +018 int mp_init_size (mp_int * a, int size) +019 \{ +020 int x; +021 +022 /* pad size so there are always extra digits */ +023 size += (MP_PREC * 2) - (size % MP_PREC); +024 +025 /* alloc mem */ +026 a->dp = OPT_CAST(mp_digit) XMALLOC (sizeof (mp_digit) * size); +027 if (a->dp == NULL) \{ +028 return MP_MEM; +029 \} +030 +031 /* set the members */ +032 a->used = 0; +033 a->alloc = size; +034 a->sign = MP_ZPOS; +035 +036 /* zero the digits */ +037 for (x = 0; x < size; x++) \{ +038 a->dp[x] = 0; +039 \} +040 +041 return MP_OKAY; +042 \} +043 #endif +044 \end{alltt} \end{small} -The number of digits $b$ requested is padded (line 24) by first augmenting it to the next multiple of -\textbf{MP\_PREC} and then adding \textbf{MP\_PREC} to the result. If the memory can be successfully allocated the -mp\_int is placed in a default state representing the integer zero. Otherwise, the error code \textbf{MP\_MEM} will be -returned (line 29). +The number of digits $b$ requested is padded (line 23) by first augmenting it to the next multiple of +\textbf{MP\_PREC} and then adding \textbf{MP\_PREC} to the result. If the memory can be successfully allocated the +mp\_int is placed in a default state representing the integer zero. Otherwise, the error code \textbf{MP\_MEM} will be +returned (line 28). -The digits are allocated and set to zero at the same time with the calloc() function (line @25,XCALLOC@). The -\textbf{used} count is set to zero, the \textbf{alloc} count set to the padded digit count and the \textbf{sign} flag set -to \textbf{MP\_ZPOS} to achieve a default valid mp\_int state (lines 33, 34 and 35). If the function -returns succesfully then it is correct to assume that the mp\_int structure is in a valid state for the remainder of the +The digits are allocated with the malloc() function (line 26) and set to zero afterwards (line 37). The +\textbf{used} count is set to zero, the \textbf{alloc} count set to the padded digit count and the \textbf{sign} flag set +to \textbf{MP\_ZPOS} to achieve a default valid mp\_int state (lines 32, 33 and 34). If the function +returns succesfully then it is correct to assume that the mp\_int structure is in a valid state for the remainder of the functions to work with. \subsection{Multiple Integer Initializations and Clearings} -Occasionally a function will require a series of mp\_int data types to be made available simultaneously. +Occasionally a function will require a series of mp\_int data types to be made available simultaneously. The purpose of algorithm mp\_init\_multi is to initialize a variable length array of mp\_int structures in a single statement. It is essentially a shortcut to multiple initializations. @@ -1021,47 +1129,87 @@ statement. It is essentially a shortcut to multiple initializations. \end{figure} \textbf{Algorithm mp\_init\_multi.} -The algorithm will initialize the array of mp\_int variables one at a time. If a runtime error has been detected -(\textit{step 1.2}) all of the previously initialized variables are cleared. The goal is an ``all or nothing'' +The algorithm will initialize the array of mp\_int variables one at a time. If a runtime error has been detected +(\textit{step 1.2}) all of the previously initialized variables are cleared. The goal is an ``all or nothing'' initialization which allows for quick recovery from runtime errors. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_init\_multi.c \vspace{-3mm} \begin{alltt} +016 #include +017 +018 int mp_init_multi(mp_int *mp, ...) +019 \{ +020 mp_err res = MP_OKAY; /* Assume ok until proven otherwise */ +021 int n = 0; /* Number of ok inits */ +022 mp_int* cur_arg = mp; +023 va_list args; +024 +025 va_start(args, mp); /* init args to next argument from caller */ +026 while (cur_arg != NULL) \{ +027 if (mp_init(cur_arg) != MP_OKAY) \{ +028 /* Oops - error! Back-track and mp_clear what we already +029 succeeded in init-ing, then return error. +030 */ +031 va_list clean_args; +032 +033 /* end the current list */ +034 va_end(args); +035 +036 /* now start cleaning up */ +037 cur_arg = mp; +038 va_start(clean_args, mp); +039 while (n-- != 0) \{ +040 mp_clear(cur_arg); +041 cur_arg = va_arg(clean_args, mp_int*); +042 \} +043 va_end(clean_args); +044 res = MP_MEM; +045 break; +046 \} +047 n++; +048 cur_arg = va_arg(args, mp_int*); +049 \} +050 va_end(args); +051 return res; /* Assumed ok, if error flagged above. */ +052 \} +053 +054 #endif +055 \end{alltt} \end{small} This function intializes a variable length list of mp\_int structure pointers. However, instead of having the mp\_int -structures in an actual C array they are simply passed as arguments to the function. This function makes use of the -``...'' argument syntax of the C programming language. The list is terminated with a final \textbf{NULL} argument -appended on the right. +structures in an actual C array they are simply passed as arguments to the function. This function makes use of the +``...'' argument syntax of the C programming language. The list is terminated with a final \textbf{NULL} argument +appended on the right. The function uses the ``stdarg.h'' \textit{va} functions to step portably through the arguments to the function. A count -$n$ of succesfully initialized mp\_int structures is maintained (line 48) such that if a failure does occur, -the algorithm can backtrack and free the previously initialized structures (lines 28 to 47). +$n$ of succesfully initialized mp\_int structures is maintained (line 47) such that if a failure does occur, +the algorithm can backtrack and free the previously initialized structures (lines 27 to 46). \subsection{Clamping Excess Digits} -When a function anticipates a result will be $n$ digits it is simpler to assume this is true within the body of -the function instead of checking during the computation. For example, a multiplication of a $i$ digit number by a -$j$ digit produces a result of at most $i + j$ digits. It is entirely possible that the result is $i + j - 1$ -though, with no final carry into the last position. However, suppose the destination had to be first expanded -(\textit{via mp\_grow}) to accomodate $i + j - 1$ digits than further expanded to accomodate the final carry. +When a function anticipates a result will be $n$ digits it is simpler to assume this is true within the body of +the function instead of checking during the computation. For example, a multiplication of a $i$ digit number by a +$j$ digit produces a result of at most $i + j$ digits. It is entirely possible that the result is $i + j - 1$ +though, with no final carry into the last position. However, suppose the destination had to be first expanded +(\textit{via mp\_grow}) to accomodate $i + j - 1$ digits than further expanded to accomodate the final carry. That would be a considerable waste of time since heap operations are relatively slow. The ideal solution is to always assume the result is $i + j$ and fix up the \textbf{used} count after the function terminates. This way a single heap operation (\textit{at most}) is required. However, if the result was not checked -there would be an excess high order zero digit. +there would be an excess high order zero digit. -For example, suppose the product of two integers was $x_n = (0x_{n-1}x_{n-2}...x_0)_{\beta}$. The leading zero digit +For example, suppose the product of two integers was $x_n = (0x_{n-1}x_{n-2}...x_0)_{\beta}$. The leading zero digit will not contribute to the precision of the result. In fact, through subsequent operations more leading zero digits would -accumulate to the point the size of the integer would be prohibitive. As a result even though the precision is very -low the representation is excessively large. +accumulate to the point the size of the integer would be prohibitive. As a result even though the precision is very +low the representation is excessively large. -The mp\_clamp algorithm is designed to solve this very problem. It will trim high-order zeros by decrementing the -\textbf{used} count until a non-zero most significant digit is found. Also in this system, zero is considered to be a -positive number which means that if the \textbf{used} count is decremented to zero, the sign must be set to +The mp\_clamp algorithm is designed to solve this very problem. It will trim high-order zeros by decrementing the +\textbf{used} count until a non-zero most significant digit is found. Also in this system, zero is considered to be a +positive number which means that if the \textbf{used} count is decremented to zero, the sign must be set to \textbf{MP\_ZPOS}. \begin{figure}[here] @@ -1083,21 +1231,46 @@ positive number which means that if the \textbf{used} count is decremented to ze \textbf{Algorithm mp\_clamp.} As can be expected this algorithm is very simple. The loop on step one is expected to iterate only once or twice at -the most. For example, this will happen in cases where there is not a carry to fill the last position. Step two fixes the sign for +the most. For example, this will happen in cases where there is not a carry to fill the last position. Step two fixes the sign for when all of the digits are zero to ensure that the mp\_int is valid at all times. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_clamp.c \vspace{-3mm} \begin{alltt} +016 +017 /* trim unused digits +018 * +019 * This is used to ensure that leading zero digits are +020 * trimed and the leading "used" digit will be non-zero +021 * Typically very fast. Also fixes the sign if there +022 * are no more leading digits +023 */ +024 void +025 mp_clamp (mp_int * a) +026 \{ +027 /* decrease used while the most significant digit is +028 * zero. +029 */ +030 while ((a->used > 0) && (a->dp[a->used - 1] == 0)) \{ +031 --(a->used); +032 \} +033 +034 /* reset the sign flag if used == 0 */ +035 if (a->used == 0) \{ +036 a->sign = MP_ZPOS; +037 \} +038 \} +039 #endif +040 \end{alltt} \end{small} -Note on line 28 how to test for the \textbf{used} count is made on the left of the \&\& operator. In the C programming -language the terms to \&\& are evaluated left to right with a boolean short-circuit if any condition fails. This is -important since if the \textbf{used} is zero the test on the right would fetch below the array. That is obviously -undesirable. The parenthesis on line 31 is used to make sure the \textbf{used} count is decremented and not -the pointer ``a''. +Note on line 27 how to test for the \textbf{used} count is made on the left of the \&\& operator. In the C programming +language the terms to \&\& are evaluated left to right with a boolean short-circuit if any condition fails. This is +important since if the \textbf{used} is zero the test on the right would fetch below the array. That is obviously +undesirable. The parenthesis on line 30 is used to make sure the \textbf{used} count is decremented and not +the pointer ``a''. \section*{Exercises} \begin{tabular}{cl} @@ -1123,19 +1296,19 @@ $\left [ 1 \right ]$ & Give an example of when the algorithm mp\_init\_copy mig \section{Introduction} In the previous chapter a series of low level algorithms were established that dealt with initializing and maintaining -mp\_int structures. This chapter will discuss another set of seemingly non-algebraic algorithms which will form the low +mp\_int structures. This chapter will discuss another set of seemingly non-algebraic algorithms which will form the low level basis of the entire library. While these algorithm are relatively trivial it is important to understand how they work before proceeding since these algorithms will be used almost intrinsically in the following chapters. The algorithms in this chapter deal primarily with more ``programmer'' related tasks such as creating copies of mp\_int structures, assigning small values to mp\_int structures and comparisons of the values mp\_int structures -represent. +represent. \section{Assigning Values to mp\_int Structures} \subsection{Copying an mp\_int} Assigning the value that a given mp\_int structure represents to another mp\_int structure shall be known as making a copy for the purposes of this text. The copy of the mp\_int will be a separate entity that represents the same -value as the mp\_int it was copied from. The mp\_copy algorithm provides this functionality. +value as the mp\_int it was copied from. The mp\_copy algorithm provides this functionality. \newpage\begin{figure}[here] \begin{center} @@ -1160,45 +1333,94 @@ value as the mp\_int it was copied from. The mp\_copy algorithm provides this f \textbf{Algorithm mp\_copy.} This algorithm copies the mp\_int $a$ such that upon succesful termination of the algorithm the mp\_int $b$ will -represent the same integer as the mp\_int $a$. The mp\_int $b$ shall be a complete and distinct copy of the +represent the same integer as the mp\_int $a$. The mp\_int $b$ shall be a complete and distinct copy of the mp\_int $a$ meaing that the mp\_int $a$ can be modified and it shall not affect the value of the mp\_int $b$. -If $b$ does not have enough room for the digits of $a$ it must first have its precision augmented via the mp\_grow +If $b$ does not have enough room for the digits of $a$ it must first have its precision augmented via the mp\_grow algorithm. The digits of $a$ are copied over the digits of $b$ and any excess digits of $b$ are set to zero (step two and three). The \textbf{used} and \textbf{sign} members of $a$ are finally copied over the respective members of $b$. \textbf{Remark.} This algorithm also introduces a new idiosyncrasy that will be used throughout the rest of the -text. The error return codes of other algorithms are not explicitly checked in the pseudo-code presented. For example, in -step one of the mp\_copy algorithm the return of mp\_grow is not explicitly checked to ensure it succeeded. Text space is +text. The error return codes of other algorithms are not explicitly checked in the pseudo-code presented. For example, in +step one of the mp\_copy algorithm the return of mp\_grow is not explicitly checked to ensure it succeeded. Text space is limited so it is assumed that if a algorithm fails it will clear all temporarily allocated mp\_ints and return -the error code itself. However, the C code presented will demonstrate all of the error handling logic required to +the error code itself. However, the C code presented will demonstrate all of the error handling logic required to implement the pseudo-code. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_copy.c \vspace{-3mm} \begin{alltt} +016 +017 /* copy, b = a */ +018 int +019 mp_copy (mp_int * a, mp_int * b) +020 \{ +021 int res, n; +022 +023 /* if dst == src do nothing */ +024 if (a == b) \{ +025 return MP_OKAY; +026 \} +027 +028 /* grow dest */ +029 if (b->alloc < a->used) \{ +030 if ((res = mp_grow (b, a->used)) != MP_OKAY) \{ +031 return res; +032 \} +033 \} +034 +035 /* zero b and copy the parameters over */ +036 \{ +037 mp_digit *tmpa, *tmpb; +038 +039 /* pointer aliases */ +040 +041 /* source */ +042 tmpa = a->dp; +043 +044 /* destination */ +045 tmpb = b->dp; +046 +047 /* copy all the digits */ +048 for (n = 0; n < a->used; n++) \{ +049 *tmpb++ = *tmpa++; +050 \} +051 +052 /* clear high digits */ +053 for (; n < b->used; n++) \{ +054 *tmpb++ = 0; +055 \} +056 \} +057 +058 /* copy used count and sign */ +059 b->used = a->used; +060 b->sign = a->sign; +061 return MP_OKAY; +062 \} +063 #endif +064 \end{alltt} \end{small} Occasionally a dependent algorithm may copy an mp\_int effectively into itself such as when the input and output -mp\_int structures passed to a function are one and the same. For this case it is optimal to return immediately without -copying digits (line 25). +mp\_int structures passed to a function are one and the same. For this case it is optimal to return immediately without +copying digits (line 24). The mp\_int $b$ must have enough digits to accomodate the used digits of the mp\_int $a$. If $b.alloc$ is less than -$a.used$ the algorithm mp\_grow is used to augment the precision of $b$ (lines 30 to 33). In order to +$a.used$ the algorithm mp\_grow is used to augment the precision of $b$ (lines 29 to 33). In order to simplify the inner loop that copies the digits from $a$ to $b$, two aliases $tmpa$ and $tmpb$ point directly at the digits -of the mp\_ints $a$ and $b$ respectively. These aliases (lines 43 and 46) allow the compiler to access the digits without first dereferencing the -mp\_int pointers and then subsequently the pointer to the digits. +of the mp\_ints $a$ and $b$ respectively. These aliases (lines 42 and 45) allow the compiler to access the digits without first dereferencing the +mp\_int pointers and then subsequently the pointer to the digits. -After the aliases are established the digits from $a$ are copied into $b$ (lines 49 to 51) and then the excess -digits of $b$ are set to zero (lines 54 to 56). Both ``for'' loops make use of the pointer aliases and in -fact the alias for $b$ is carried through into the second ``for'' loop to clear the excess digits. This optimization +After the aliases are established the digits from $a$ are copied into $b$ (lines 48 to 50) and then the excess +digits of $b$ are set to zero (lines 53 to 55). Both ``for'' loops make use of the pointer aliases and in +fact the alias for $b$ is carried through into the second ``for'' loop to clear the excess digits. This optimization allows the alias to stay in a machine register fairly easy between the two loops. \textbf{Remarks.} The use of pointer aliases is an implementation methodology first introduced in this function that will -be used considerably in other functions. Technically, a pointer alias is simply a short hand alias used to lower the +be used considerably in other functions. Technically, a pointer alias is simply a short hand alias used to lower the number of pointer dereferencing operations required to access data. For example, a for loop may resemble \begin{alltt} @@ -1207,7 +1429,7 @@ for (x = 0; x < 100; x++) \{ \} \end{alltt} -This could be re-written using aliases as +This could be re-written using aliases as \begin{alltt} mp_digit *tmpa; @@ -1217,17 +1439,17 @@ for (x = 0; x < 100; x++) \{ \} \end{alltt} -In this case an alias is used to access the -array of digits within an mp\_int structure directly. It may seem that a pointer alias is strictly not required +In this case an alias is used to access the +array of digits within an mp\_int structure directly. It may seem that a pointer alias is strictly not required as a compiler may optimize out the redundant pointer operations. However, there are two dominant reasons to use aliases. -The first reason is that most compilers will not effectively optimize pointer arithmetic. For example, some optimizations -may work for the Microsoft Visual C++ compiler (MSVC) and not for the GNU C Compiler (GCC). Also some optimizations may -work for GCC and not MSVC. As such it is ideal to find a common ground for as many compilers as possible. Pointer -aliases optimize the code considerably before the compiler even reads the source code which means the end compiled code +The first reason is that most compilers will not effectively optimize pointer arithmetic. For example, some optimizations +may work for the Microsoft Visual C++ compiler (MSVC) and not for the GNU C Compiler (GCC). Also some optimizations may +work for GCC and not MSVC. As such it is ideal to find a common ground for as many compilers as possible. Pointer +aliases optimize the code considerably before the compiler even reads the source code which means the end compiled code stands a better chance of being faster. -The second reason is that pointer aliases often can make an algorithm simpler to read. Consider the first ``for'' +The second reason is that pointer aliases often can make an algorithm simpler to read. Consider the first ``for'' loop of the function mp\_copy() re-written to not use pointer aliases. \begin{alltt} @@ -1237,13 +1459,13 @@ loop of the function mp\_copy() re-written to not use pointer aliases. \} \end{alltt} -Whether this code is harder to read depends strongly on the individual. However, it is quantifiably slightly more +Whether this code is harder to read depends strongly on the individual. However, it is quantifiably slightly more complicated as there are four variables within the statement instead of just two. \subsubsection{Nested Statements} Another commonly used technique in the source routines is that certain sections of code are nested. This is used in particular with the pointer aliases to highlight code phases. For example, a Comba multiplier (discussed in chapter six) -will typically have three different phases. First the temporaries are initialized, then the columns calculated and +will typically have three different phases. First the temporaries are initialized, then the columns calculated and finally the carries are propagated. In this example the middle column production phase will typically be nested as it uses temporary variables and aliases the most. @@ -1252,9 +1474,9 @@ the various temporary variables required do not propagate into other sections of \subsection{Creating a Clone} -Another common operation is to make a local temporary copy of an mp\_int argument. To initialize an mp\_int -and then copy another existing mp\_int into the newly intialized mp\_int will be known as creating a clone. This is -useful within functions that need to modify an argument but do not wish to actually modify the original copy. The +Another common operation is to make a local temporary copy of an mp\_int argument. To initialize an mp\_int +and then copy another existing mp\_int into the newly intialized mp\_int will be known as creating a clone. This is +useful within functions that need to modify an argument but do not wish to actually modify the original copy. The mp\_init\_copy algorithm has been designed to help perform this task. \begin{figure}[here] @@ -1274,19 +1496,32 @@ mp\_init\_copy algorithm has been designed to help perform this task. \end{figure} \textbf{Algorithm mp\_init\_copy.} -This algorithm will initialize an mp\_int variable and copy another previously initialized mp\_int variable into it. As -such this algorithm will perform two operations in one step. +This algorithm will initialize an mp\_int variable and copy another previously initialized mp\_int variable into it. As +such this algorithm will perform two operations in one step. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_init\_copy.c \vspace{-3mm} \begin{alltt} +016 +017 /* creates "a" then copies b into it */ +018 int mp_init_copy (mp_int * a, mp_int * b) +019 \{ +020 int res; +021 +022 if ((res = mp_init_size (a, b->used)) != MP_OKAY) \{ +023 return res; +024 \} +025 return mp_copy (b, a); +026 \} +027 #endif +028 \end{alltt} \end{small} -This will initialize \textbf{a} and make it a verbatim copy of the contents of \textbf{b}. Note that +This will initialize \textbf{a} and make it a verbatim copy of the contents of \textbf{b}. Note that \textbf{a} will have its own memory allocated which means that \textbf{b} may be cleared after the call -and \textbf{a} will be left intact. +and \textbf{a} will be left intact. \section{Zeroing an Integer} Reseting an mp\_int to the default state is a common step in many algorithms. The mp\_zero algorithm will be the algorithm used to @@ -1310,16 +1545,33 @@ perform this task. \end{figure} \textbf{Algorithm mp\_zero.} -This algorithm simply resets a mp\_int to the default state. +This algorithm simply resets a mp\_int to the default state. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_zero.c \vspace{-3mm} \begin{alltt} +016 +017 /* set to zero */ +018 void mp_zero (mp_int * a) +019 \{ +020 int n; +021 mp_digit *tmp; +022 +023 a->sign = MP_ZPOS; +024 a->used = 0; +025 +026 tmp = a->dp; +027 for (n = 0; n < a->alloc; n++) \{ +028 *tmp++ = 0; +029 \} +030 \} +031 #endif +032 \end{alltt} \end{small} -After the function is completed, all of the digits are zeroed, the \textbf{used} count is zeroed and the +After the function is completed, all of the digits are zeroed, the \textbf{used} count is zeroed and the \textbf{sign} variable is set to \textbf{MP\_ZPOS}. \section{Sign Manipulation} @@ -1347,17 +1599,41 @@ the absolute value of an mp\_int. \textbf{Algorithm mp\_abs.} This algorithm computes the absolute of an mp\_int input. First it copies $a$ over $b$. This is an example of an algorithm where the check in mp\_copy that determines if the source and destination are equal proves useful. This allows, -for instance, the developer to pass the same mp\_int as the source and destination to this function without addition +for instance, the developer to pass the same mp\_int as the source and destination to this function without addition logic to handle it. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_abs.c \vspace{-3mm} \begin{alltt} +016 +017 /* b = |a| +018 * +019 * Simple function copies the input and fixes the sign to positive +020 */ +021 int +022 mp_abs (mp_int * a, mp_int * b) +023 \{ +024 int res; +025 +026 /* copy a to b */ +027 if (a != b) \{ +028 if ((res = mp_copy (a, b)) != MP_OKAY) \{ +029 return res; +030 \} +031 \} +032 +033 /* force the sign of b to positive */ +034 b->sign = MP_ZPOS; +035 +036 return MP_OKAY; +037 \} +038 #endif +039 \end{alltt} \end{small} -This fairly trivial algorithm first eliminates non--required duplications (line 28) and then sets the +This fairly trivial algorithm first eliminates non--required duplications (line 27) and then sets the \textbf{sign} flag to \textbf{MP\_ZPOS}. \subsection{Integer Negation} @@ -1387,7 +1663,7 @@ the negative of an mp\_int input. \textbf{Algorithm mp\_neg.} This algorithm computes the negation of an input. First it copies $a$ over $b$. If $a$ has no used digits then -the algorithm returns immediately. Otherwise it flips the sign flag and stores the result in $b$. Note that if +the algorithm returns immediately. Otherwise it flips the sign flag and stores the result in $b$. Note that if $a$ had no digits then it must be positive by definition. Had step three been omitted then the algorithm would return zero as negative. @@ -1395,10 +1671,31 @@ zero as negative. \hspace{-5.1mm}{\bf File}: bn\_mp\_neg.c \vspace{-3mm} \begin{alltt} +016 +017 /* b = -a */ +018 int mp_neg (mp_int * a, mp_int * b) +019 \{ +020 int res; +021 if (a != b) \{ +022 if ((res = mp_copy (a, b)) != MP_OKAY) \{ +023 return res; +024 \} +025 \} +026 +027 if (mp_iszero(b) != MP_YES) \{ +028 b->sign = (a->sign == MP_ZPOS) ? MP_NEG : MP_ZPOS; +029 \} else \{ +030 b->sign = MP_ZPOS; +031 \} +032 +033 return MP_OKAY; +034 \} +035 #endif +036 \end{alltt} \end{small} -Like mp\_abs() this function avoids non--required duplications (line 22) and then sets the sign. We +Like mp\_abs() this function avoids non--required duplications (line 21) and then sets the sign. We have to make sure that only non--zero values get a \textbf{sign} of \textbf{MP\_NEG}. If the mp\_int is zero than the \textbf{sign} is hard--coded to \textbf{MP\_ZPOS}. @@ -1417,9 +1714,9 @@ Often a mp\_int must be set to a relatively small value such as $1$ or $2$. For 2. $a_0 \leftarrow b \mbox{ (mod }\beta\mbox{)}$ \\ 3. $a.used \leftarrow \left \lbrace \begin{array}{ll} 1 & \mbox{if }a_0 > 0 \\ - 0 & \mbox{if }a_0 = 0 + 0 & \mbox{if }a_0 = 0 \end{array} \right .$ \\ -\hline +\hline \end{tabular} \end{center} \caption{Algorithm mp\_set} @@ -1433,19 +1730,29 @@ single digit is set (\textit{modulo $\beta$}) and the \textbf{used} count is adj \hspace{-5.1mm}{\bf File}: bn\_mp\_set.c \vspace{-3mm} \begin{alltt} +016 +017 /* set to a digit */ +018 void mp_set (mp_int * a, mp_digit b) +019 \{ +020 mp_zero (a); +021 a->dp[0] = b & MP_MASK; +022 a->used = (a->dp[0] != 0) ? 1 : 0; +023 \} +024 #endif +025 \end{alltt} \end{small} -First we zero (line 21) the mp\_int to make sure that the other members are initialized for a +First we zero (line 20) the mp\_int to make sure that the other members are initialized for a small positive constant. mp\_zero() ensures that the \textbf{sign} is positive and the \textbf{used} count -is zero. Next we set the digit and reduce it modulo $\beta$ (line 22). After this step we have to +is zero. Next we set the digit and reduce it modulo $\beta$ (line 21). After this step we have to check if the resulting digit is zero or not. If it is not then we set the \textbf{used} count to one, otherwise to zero. -We can quickly reduce modulo $\beta$ since it is of the form $2^k$ and a quick binary AND operation with +We can quickly reduce modulo $\beta$ since it is of the form $2^k$ and a quick binary AND operation with $2^k - 1$ will perform the same operation. -One important limitation of this function is that it will only set one digit. The size of a digit is not fixed, meaning source that uses +One important limitation of this function is that it will only set one digit. The size of a digit is not fixed, meaning source that uses this function should take that into account. Only trivially small constants can be set using this function. \subsection{Setting Large Constants} @@ -1473,9 +1780,9 @@ data type as input and will always treat it as a 32-bit integer. \end{figure} \textbf{Algorithm mp\_set\_int.} -The algorithm performs eight iterations of a simple loop where in each iteration four bits from the source are added to the +The algorithm performs eight iterations of a simple loop where in each iteration four bits from the source are added to the mp\_int. Step 2.1 will multiply the current result by sixteen making room for four more bits in the less significant positions. In step 2.2 the -next four bits from the source are extracted and are added to the mp\_int. The \textbf{used} digit count is +next four bits from the source are extracted and are added to the mp\_int. The \textbf{used} digit count is incremented to reflect the addition. The \textbf{used} digit counter is incremented since if any of the leading digits were zero the mp\_int would have zero digits used and the newly added four bits would be ignored. @@ -1485,27 +1792,56 @@ Excess zero digits are trimmed in steps 2.1 and 3 by using higher level algorith \hspace{-5.1mm}{\bf File}: bn\_mp\_set\_int.c \vspace{-3mm} \begin{alltt} +016 +017 /* set a 32-bit const */ +018 int mp_set_int (mp_int * a, unsigned long b) +019 \{ +020 int x, res; +021 +022 mp_zero (a); +023 +024 /* set four bits at a time */ +025 for (x = 0; x < 8; x++) \{ +026 /* shift the number up four bits */ +027 if ((res = mp_mul_2d (a, 4, a)) != MP_OKAY) \{ +028 return res; +029 \} +030 +031 /* OR in the top four bits of the source */ +032 a->dp[0] |= (b >> 28) & 15; +033 +034 /* shift the source up to the next four bits */ +035 b <<= 4; +036 +037 /* ensure that digits are not clamped off */ +038 a->used += 1; +039 \} +040 mp_clamp (a); +041 return MP_OKAY; +042 \} +043 #endif +044 \end{alltt} \end{small} This function sets four bits of the number at a time to handle all practical \textbf{DIGIT\_BIT} sizes. The weird -addition on line 39 ensures that the newly added in bits are added to the number of digits. While it may not -seem obvious as to why the digit counter does not grow exceedingly large it is because of the shift on line 28 -as well as the call to mp\_clamp() on line 41. Both functions will clamp excess leading digits which keeps +addition on line 38 ensures that the newly added in bits are added to the number of digits. While it may not +seem obvious as to why the digit counter does not grow exceedingly large it is because of the shift on line 27 +as well as the call to mp\_clamp() on line 40. Both functions will clamp excess leading digits which keeps the number of used digits low. \section{Comparisons} \subsection{Unsigned Comparisions} Comparing a multiple precision integer is performed with the exact same algorithm used to compare two decimal numbers. For example, to compare $1,234$ to $1,264$ the digits are extracted by their positions. That is we compare $1 \cdot 10^3 + 2 \cdot 10^2 + 3 \cdot 10^1 + 4 \cdot 10^0$ -to $1 \cdot 10^3 + 2 \cdot 10^2 + 6 \cdot 10^1 + 4 \cdot 10^0$ by comparing single digits at a time starting with the highest magnitude -positions. If any leading digit of one integer is greater than a digit in the same position of another integer then obviously it must be greater. +to $1 \cdot 10^3 + 2 \cdot 10^2 + 6 \cdot 10^1 + 4 \cdot 10^0$ by comparing single digits at a time starting with the highest magnitude +positions. If any leading digit of one integer is greater than a digit in the same position of another integer then obviously it must be greater. The first comparision routine that will be developed is the unsigned magnitude compare which will perform a comparison based on the digits of two -mp\_int variables alone. It will ignore the sign of the two inputs. Such a function is useful when an absolute comparison is required or if the +mp\_int variables alone. It will ignore the sign of the two inputs. Such a function is useful when an absolute comparison is required or if the signs are known to agree in advance. -To facilitate working with the results of the comparison functions three constants are required. +To facilitate working with the results of the comparison functions three constants are required. \begin{figure}[here] \begin{center} @@ -1541,9 +1877,9 @@ To facilitate working with the results of the comparison functions three constan \textbf{Algorithm mp\_cmp\_mag.} By saying ``$a$ to the left of $b$'' it is meant that the comparison is with respect to $a$, that is if $a$ is greater than $b$ it will return -\textbf{MP\_GT} and similar with respect to when $a = b$ and $a < b$. The first two steps compare the number of digits used in both $a$ and $b$. -Obviously if the digit counts differ there would be an imaginary zero digit in the smaller number where the leading digit of the larger number is. -If both have the same number of digits than the actual digits themselves must be compared starting at the leading digit. +\textbf{MP\_GT} and similar with respect to when $a = b$ and $a < b$. The first two steps compare the number of digits used in both $a$ and $b$. +Obviously if the digit counts differ there would be an imaginary zero digit in the smaller number where the leading digit of the larger number is. +If both have the same number of digits than the actual digits themselves must be compared starting at the leading digit. By step three both inputs must have the same number of digits so its safe to start from either $a.used - 1$ or $b.used - 1$ and count down to the zero'th digit. If after all of the digits have been compared, no difference is found, the algorithm returns \textbf{MP\_EQ}. @@ -1552,18 +1888,54 @@ the zero'th digit. If after all of the digits have been compared, no difference \hspace{-5.1mm}{\bf File}: bn\_mp\_cmp\_mag.c \vspace{-3mm} \begin{alltt} +016 +017 /* compare maginitude of two ints (unsigned) */ +018 int mp_cmp_mag (mp_int * a, mp_int * b) +019 \{ +020 int n; +021 mp_digit *tmpa, *tmpb; +022 +023 /* compare based on # of non-zero digits */ +024 if (a->used > b->used) \{ +025 return MP_GT; +026 \} +027 +028 if (a->used < b->used) \{ +029 return MP_LT; +030 \} +031 +032 /* alias for a */ +033 tmpa = a->dp + (a->used - 1); +034 +035 /* alias for b */ +036 tmpb = b->dp + (a->used - 1); +037 +038 /* compare based on digits */ +039 for (n = 0; n < a->used; ++n, --tmpa, --tmpb) \{ +040 if (*tmpa > *tmpb) \{ +041 return MP_GT; +042 \} +043 +044 if (*tmpa < *tmpb) \{ +045 return MP_LT; +046 \} +047 \} +048 return MP_EQ; +049 \} +050 #endif +051 \end{alltt} \end{small} -The two if statements (lines 25 and 29) compare the number of digits in the two inputs. These two are -performed before all of the digits are compared since it is a very cheap test to perform and can potentially save -considerable time. The implementation given is also not valid without those two statements. $b.alloc$ may be +The two if statements (lines 24 and 28) compare the number of digits in the two inputs. These two are +performed before all of the digits are compared since it is a very cheap test to perform and can potentially save +considerable time. The implementation given is also not valid without those two statements. $b.alloc$ may be smaller than $a.used$, meaning that undefined values will be read from $b$ past the end of the array of digits. \subsection{Signed Comparisons} -Comparing with sign considerations is also fairly critical in several routines (\textit{division for example}). Based on an unsigned magnitude +Comparing with sign considerations is also fairly critical in several routines (\textit{division for example}). Based on an unsigned magnitude comparison a trivial signed comparison algorithm can be written. \begin{figure}[here] @@ -1586,21 +1958,45 @@ comparison a trivial signed comparison algorithm can be written. \end{figure} \textbf{Algorithm mp\_cmp.} -The first two steps compare the signs of the two inputs. If the signs do not agree then it can return right away with the appropriate -comparison code. When the signs are equal the digits of the inputs must be compared to determine the correct result. In step -three the unsigned comparision flips the order of the arguments since they are both negative. For instance, if $-a > -b$ then +The first two steps compare the signs of the two inputs. If the signs do not agree then it can return right away with the appropriate +comparison code. When the signs are equal the digits of the inputs must be compared to determine the correct result. In step +three the unsigned comparision flips the order of the arguments since they are both negative. For instance, if $-a > -b$ then $\vert a \vert < \vert b \vert$. Step number four will compare the two when they are both positive. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_cmp.c \vspace{-3mm} \begin{alltt} +016 +017 /* compare two ints (signed)*/ +018 int +019 mp_cmp (mp_int * a, mp_int * b) +020 \{ +021 /* compare based on sign */ +022 if (a->sign != b->sign) \{ +023 if (a->sign == MP_NEG) \{ +024 return MP_LT; +025 \} else \{ +026 return MP_GT; +027 \} +028 \} +029 +030 /* compare digits */ +031 if (a->sign == MP_NEG) \{ +032 /* if negative compare opposite direction */ +033 return mp_cmp_mag(b, a); +034 \} else \{ +035 return mp_cmp_mag(a, b); +036 \} +037 \} +038 #endif +039 \end{alltt} \end{small} -The two if statements (lines 23 and 24) perform the initial sign comparison. If the signs are not the equal then which ever -has the positive sign is larger. The inputs are compared (line 32) based on magnitudes. If the signs were both -negative then the unsigned comparison is performed in the opposite direction (line 34). Otherwise, the signs are assumed to +The two if statements (lines 22 and 23) perform the initial sign comparison. If the signs are not the equal then which ever +has the positive sign is larger. The inputs are compared (line 31) based on magnitudes. If the signs were both +negative then the unsigned comparison is performed in the opposite direction (line 33). Otherwise, the signs are assumed to be both positive and a forward direction unsigned comparison is performed. \section*{Exercises} @@ -1617,37 +2013,37 @@ $\left [ 1 \right ]$ & Suggest a simple method to speed up the implementation of \chapter{Basic Arithmetic} \section{Introduction} -At this point algorithms for initialization, clearing, zeroing, copying, comparing and setting small constants have been -established. The next logical set of algorithms to develop are addition, subtraction and digit shifting algorithms. These -algorithms make use of the lower level algorithms and are the cruicial building block for the multiplication algorithms. It is very important -that these algorithms are highly optimized. On their own they are simple $O(n)$ algorithms but they can be called from higher level algorithms -which easily places them at $O(n^2)$ or even $O(n^3)$ work levels. - -All of the algorithms within this chapter make use of the logical bit shift operations denoted by $<<$ and $>>$ for left and right -logical shifts respectively. A logical shift is analogous to sliding the decimal point of radix-10 representations. For example, the real -number $0.9345$ is equivalent to $93.45\%$ which is found by sliding the the decimal two places to the right (\textit{multiplying by $\beta^2 = 10^2$}). -Algebraically a binary logical shift is equivalent to a division or multiplication by a power of two. +At this point algorithms for initialization, clearing, zeroing, copying, comparing and setting small constants have been +established. The next logical set of algorithms to develop are addition, subtraction and digit shifting algorithms. These +algorithms make use of the lower level algorithms and are the cruicial building block for the multiplication algorithms. It is very important +that these algorithms are highly optimized. On their own they are simple $O(n)$ algorithms but they can be called from higher level algorithms +which easily places them at $O(n^2)$ or even $O(n^3)$ work levels. + +All of the algorithms within this chapter make use of the logical bit shift operations denoted by $<<$ and $>>$ for left and right +logical shifts respectively. A logical shift is analogous to sliding the decimal point of radix-10 representations. For example, the real +number $0.9345$ is equivalent to $93.45\%$ which is found by sliding the the decimal two places to the right (\textit{multiplying by $\beta^2 = 10^2$}). +Algebraically a binary logical shift is equivalent to a division or multiplication by a power of two. For example, $a << k = a \cdot 2^k$ while $a >> k = \lfloor a/2^k \rfloor$. One significant difference between a logical shift and the way decimals are shifted is that digits below the zero'th position are removed -from the number. For example, consider $1101_2 >> 1$ using decimal notation this would produce $110.1_2$. However, with a logical shift the -result is $110_2$. +from the number. For example, consider $1101_2 >> 1$ using decimal notation this would produce $110.1_2$. However, with a logical shift the +result is $110_2$. \section{Addition and Subtraction} In common twos complement fixed precision arithmetic negative numbers are easily represented by subtraction from the modulus. For example, with 32-bit integers -$a - b\mbox{ (mod }2^{32}\mbox{)}$ is the same as $a + (2^{32} - b) \mbox{ (mod }2^{32}\mbox{)}$ since $2^{32} \equiv 0 \mbox{ (mod }2^{32}\mbox{)}$. +$a - b\mbox{ (mod }2^{32}\mbox{)}$ is the same as $a + (2^{32} - b) \mbox{ (mod }2^{32}\mbox{)}$ since $2^{32} \equiv 0 \mbox{ (mod }2^{32}\mbox{)}$. As a result subtraction can be performed with a trivial series of logical operations and an addition. However, in multiple precision arithmetic negative numbers are not represented in the same way. Instead a sign flag is used to keep track of the -sign of the integer. As a result signed addition and subtraction are actually implemented as conditional usage of lower level addition or +sign of the integer. As a result signed addition and subtraction are actually implemented as conditional usage of lower level addition or subtraction algorithms with the sign fixed up appropriately. The lower level algorithms will add or subtract integers without regard to the sign flag. That is they will add or subtract the magnitude of the integers respectively. \subsection{Low Level Addition} -An unsigned addition of multiple precision integers is performed with the same long-hand algorithm used to add decimal numbers. That is to add the -trailing digits first and propagate the resulting carry upwards. Since this is a lower level algorithm the name will have a ``s\_'' prefix. +An unsigned addition of multiple precision integers is performed with the same long-hand algorithm used to add decimal numbers. That is to add the +trailing digits first and propagate the resulting carry upwards. Since this is a lower level algorithm the name will have a ``s\_'' prefix. Historically that convention stems from the MPI library where ``s\_'' stood for static functions that were hidden from the developer entirely. \newpage @@ -1694,18 +2090,18 @@ Historically that convention stems from the MPI library where ``s\_'' stood for \end{figure} \textbf{Algorithm s\_mp\_add.} -This algorithm is loosely based on algorithm 14.7 of HAC \cite[pp. 594]{HAC} but has been extended to allow the inputs to have different magnitudes. -Coincidentally the description of algorithm A in Knuth \cite[pp. 266]{TAOCPV2} shares the same deficiency as the algorithm from \cite{HAC}. Even the +This algorithm is loosely based on algorithm 14.7 of HAC \cite[pp. 594]{HAC} but has been extended to allow the inputs to have different magnitudes. +Coincidentally the description of algorithm A in Knuth \cite[pp. 266]{TAOCPV2} shares the same deficiency as the algorithm from \cite{HAC}. Even the MIX pseudo machine code presented by Knuth \cite[pp. 266-267]{TAOCPV2} is incapable of handling inputs which are of different magnitudes. The first thing that has to be accomplished is to sort out which of the two inputs is the largest. The addition logic will simply add all of the smallest input to the largest input and store that first part of the result in the destination. Then it will apply a simpler addition loop to excess digits of the larger input. -The first two steps will handle sorting the inputs such that $min$ and $max$ hold the digit counts of the two +The first two steps will handle sorting the inputs such that $min$ and $max$ hold the digit counts of the two inputs. The variable $x$ will be an mp\_int alias for the largest input or the second input $b$ if they have the -same number of digits. After the inputs are sorted the destination $c$ is grown as required to accomodate the sum -of the two inputs. The original \textbf{used} count of $c$ is copied and set to the new used count. +same number of digits. After the inputs are sorted the destination $c$ is grown as required to accomodate the sum +of the two inputs. The original \textbf{used} count of $c$ is copied and set to the new used count. At this point the first addition loop will go through as many digit positions that both inputs have. The carry variable $\mu$ is set to zero outside the loop. Inside the loop an ``addition'' step requires three statements to produce @@ -1724,36 +2120,126 @@ The final carry is stored in $c_{max}$ and digits above $max$ upto $oldused$ are \hspace{-5.1mm}{\bf File}: bn\_s\_mp\_add.c \vspace{-3mm} \begin{alltt} +016 +017 /* low level addition, based on HAC pp.594, Algorithm 14.7 */ +018 int +019 s_mp_add (mp_int * a, mp_int * b, mp_int * c) +020 \{ +021 mp_int *x; +022 int olduse, res, min, max; +023 +024 /* find sizes, we let |a| <= |b| which means we have to sort +025 * them. "x" will point to the input with the most digits +026 */ +027 if (a->used > b->used) \{ +028 min = b->used; +029 max = a->used; +030 x = a; +031 \} else \{ +032 min = a->used; +033 max = b->used; +034 x = b; +035 \} +036 +037 /* init result */ +038 if (c->alloc < (max + 1)) \{ +039 if ((res = mp_grow (c, max + 1)) != MP_OKAY) \{ +040 return res; +041 \} +042 \} +043 +044 /* get old used digit count and set new one */ +045 olduse = c->used; +046 c->used = max + 1; +047 +048 \{ +049 mp_digit u, *tmpa, *tmpb, *tmpc; +050 int i; +051 +052 /* alias for digit pointers */ +053 +054 /* first input */ +055 tmpa = a->dp; +056 +057 /* second input */ +058 tmpb = b->dp; +059 +060 /* destination */ +061 tmpc = c->dp; +062 +063 /* zero the carry */ +064 u = 0; +065 for (i = 0; i < min; i++) \{ +066 /* Compute the sum at one digit, T[i] = A[i] + B[i] + U */ +067 *tmpc = *tmpa++ + *tmpb++ + u; +068 +069 /* U = carry bit of T[i] */ +070 u = *tmpc >> ((mp_digit)DIGIT_BIT); +071 +072 /* take away carry bit from T[i] */ +073 *tmpc++ &= MP_MASK; +074 \} +075 +076 /* now copy higher words if any, that is in A+B +077 * if A or B has more digits add those in +078 */ +079 if (min != max) \{ +080 for (; i < max; i++) \{ +081 /* T[i] = X[i] + U */ +082 *tmpc = x->dp[i] + u; +083 +084 /* U = carry bit of T[i] */ +085 u = *tmpc >> ((mp_digit)DIGIT_BIT); +086 +087 /* take away carry bit from T[i] */ +088 *tmpc++ &= MP_MASK; +089 \} +090 \} +091 +092 /* add carry */ +093 *tmpc++ = u; +094 +095 /* clear digits above oldused */ +096 for (i = c->used; i < olduse; i++) \{ +097 *tmpc++ = 0; +098 \} +099 \} +100 +101 mp_clamp (c); +102 return MP_OKAY; +103 \} +104 #endif +105 \end{alltt} \end{small} -We first sort (lines 28 to 36) the inputs based on magnitude and determine the $min$ and $max$ variables. +We first sort (lines 27 to 35) the inputs based on magnitude and determine the $min$ and $max$ variables. Note that $x$ is a pointer to an mp\_int assigned to the largest input, in effect it is a local alias. Next we -grow the destination (38 to 42) ensure that it can accomodate the result of the addition. +grow the destination (37 to 42) ensure that it can accomodate the result of the addition. -Similar to the implementation of mp\_copy this function uses the braced code and local aliases coding style. The three aliases that are on -lines 56, 59 and 62 represent the two inputs and destination variables respectively. These aliases are used to ensure the +Similar to the implementation of mp\_copy this function uses the braced code and local aliases coding style. The three aliases that are on +lines 55, 58 and 61 represent the two inputs and destination variables respectively. These aliases are used to ensure the compiler does not have to dereference $a$, $b$ or $c$ (respectively) to access the digits of the respective mp\_int. -The initial carry $u$ will be cleared (line 65), note that $u$ is of type mp\_digit which ensures type -compatibility within the implementation. The initial addition (line 66 to 75) adds digits from +The initial carry $u$ will be cleared (line 64), note that $u$ is of type mp\_digit which ensures type +compatibility within the implementation. The initial addition (line 65 to 74) adds digits from both inputs until the smallest input runs out of digits. Similarly the conditional addition loop -(line 81 to 90) adds the remaining digits from the larger of the two inputs. The addition is finished -with the final carry being stored in $tmpc$ (line 94). Note the ``++'' operator within the same expression. -After line 94, $tmpc$ will point to the $c.used$'th digit of the mp\_int $c$. This is useful -for the next loop (line 97 to 99) which set any old upper digits to zero. +(line 80 to 90) adds the remaining digits from the larger of the two inputs. The addition is finished +with the final carry being stored in $tmpc$ (line 93). Note the ``++'' operator within the same expression. +After line 93, $tmpc$ will point to the $c.used$'th digit of the mp\_int $c$. This is useful +for the next loop (line 96 to 99) which set any old upper digits to zero. \subsection{Low Level Subtraction} The low level unsigned subtraction algorithm is very similar to the low level unsigned addition algorithm. The principle difference is that the -unsigned subtraction algorithm requires the result to be positive. That is when computing $a - b$ the condition $\vert a \vert \ge \vert b\vert$ must -be met for this algorithm to function properly. Keep in mind this low level algorithm is not meant to be used in higher level algorithms directly. +unsigned subtraction algorithm requires the result to be positive. That is when computing $a - b$ the condition $\vert a \vert \ge \vert b\vert$ must +be met for this algorithm to function properly. Keep in mind this low level algorithm is not meant to be used in higher level algorithms directly. This algorithm as will be shown can be used to create functional signed addition and subtraction algorithms. For this algorithm a new variable is required to make the description simpler. Recall from section 1.3.1 that a mp\_digit must be able to represent -the range $0 \le x < 2\beta$ for the algorithms to work correctly. However, it is allowable that a mp\_digit represent a larger range of values. For -this algorithm we will assume that the variable $\gamma$ represents the number of bits available in a -mp\_digit (\textit{this implies $2^{\gamma} > \beta$}). +the range $0 \le x < 2\beta$ for the algorithms to work correctly. However, it is allowable that a mp\_digit represent a larger range of values. For +this algorithm we will assume that the variable $\gamma$ represents the number of bits available in a +mp\_digit (\textit{this implies $2^{\gamma} > \beta$}). For example, the default for LibTomMath is to use a ``unsigned long'' for the mp\_digit ``type'' while $\beta = 2^{28}$. In ISO C an ``unsigned long'' data type must be able to represent $0 \le x < 2^{32}$ meaning that in this case $\gamma \ge 32$. @@ -1769,7 +2255,7 @@ data type must be able to represent $0 \le x < 2^{32}$ meaning that in this case 1. $min \leftarrow b.used$ \\ 2. $max \leftarrow a.used$ \\ 3. If $c.alloc < max$ then grow $c$ to hold at least $max$ digits. (\textit{mp\_grow}) \\ -4. $oldused \leftarrow c.used$ \\ +4. $oldused \leftarrow c.used$ \\ 5. $c.used \leftarrow max$ \\ 6. $u \leftarrow 0$ \\ 7. for $n$ from $0$ to $min - 1$ do \\ @@ -1799,24 +2285,24 @@ passing variables $a$ and $b$ the condition that $\vert a \vert \ge \vert b \ver algorithm is loosely based on algorithm 14.9 \cite[pp. 595]{HAC} and is similar to algorithm S in \cite[pp. 267]{TAOCPV2} as well. As was the case of the algorithm s\_mp\_add both other references lack discussion concerning various practical details such as when the inputs differ in magnitude. -The initial sorting of the inputs is trivial in this algorithm since $a$ is guaranteed to have at least the same magnitude of $b$. Steps 1 and 2 -set the $min$ and $max$ variables. Unlike the addition routine there is guaranteed to be no carry which means that the final result can be at -most $max$ digits in length as opposed to $max + 1$. Similar to the addition algorithm the \textbf{used} count of $c$ is copied locally and +The initial sorting of the inputs is trivial in this algorithm since $a$ is guaranteed to have at least the same magnitude of $b$. Steps 1 and 2 +set the $min$ and $max$ variables. Unlike the addition routine there is guaranteed to be no carry which means that the final result can be at +most $max$ digits in length as opposed to $max + 1$. Similar to the addition algorithm the \textbf{used} count of $c$ is copied locally and set to the maximal count for the operation. -The subtraction loop that begins on step seven is essentially the same as the addition loop of algorithm s\_mp\_add except single precision -subtraction is used instead. Note the use of the $\gamma$ variable to extract the carry (\textit{also known as the borrow}) within the subtraction -loops. Under the assumption that two's complement single precision arithmetic is used this will successfully extract the desired carry. +The subtraction loop that begins on step seven is essentially the same as the addition loop of algorithm s\_mp\_add except single precision +subtraction is used instead. Note the use of the $\gamma$ variable to extract the carry (\textit{also known as the borrow}) within the subtraction +loops. Under the assumption that two's complement single precision arithmetic is used this will successfully extract the desired carry. -For example, consider subtracting $0101_2$ from $0100_2$ where $\gamma = 4$ and $\beta = 2$. The least significant bit will force a carry upwards to -the third bit which will be set to zero after the borrow. After the very first bit has been subtracted $4 - 1 \equiv 0011_2$ will remain, When the -third bit of $0101_2$ is subtracted from the result it will cause another carry. In this case though the carry will be forced to propagate all the -way to the most significant bit. +For example, consider subtracting $0101_2$ from $0100_2$ where $\gamma = 4$ and $\beta = 2$. The least significant bit will force a carry upwards to +the third bit which will be set to zero after the borrow. After the very first bit has been subtracted $4 - 1 \equiv 0011_2$ will remain, When the +third bit of $0101_2$ is subtracted from the result it will cause another carry. In this case though the carry will be forced to propagate all the +way to the most significant bit. -Recall that $\beta < 2^{\gamma}$. This means that if a carry does occur just before the $lg(\beta)$'th bit it will propagate all the way to the most +Recall that $\beta < 2^{\gamma}$. This means that if a carry does occur just before the $lg(\beta)$'th bit it will propagate all the way to the most significant bit. Thus, the high order bits of the mp\_digit that are not part of the actual digit will either be all zero, or all one. All that -is needed is a single zero or one bit for the carry. Therefore a single logical shift right by $\gamma - 1$ positions is sufficient to extract the -carry. This method of carry extraction may seem awkward but the reason for it becomes apparent when the implementation is discussed. +is needed is a single zero or one bit for the carry. Therefore a single logical shift right by $\gamma - 1$ positions is sufficient to extract the +carry. This method of carry extraction may seem awkward but the reason for it becomes apparent when the implementation is discussed. If $b$ has a smaller magnitude than $a$ then step 9 will force the carry and copy operation to propagate through the larger input $a$ into $c$. Step 10 will ensure that any leading digits of $c$ above the $max$'th position are zeroed. @@ -1825,33 +2311,104 @@ If $b$ has a smaller magnitude than $a$ then step 9 will force the carry and cop \hspace{-5.1mm}{\bf File}: bn\_s\_mp\_sub.c \vspace{-3mm} \begin{alltt} +016 +017 /* low level subtraction (assumes |a| > |b|), HAC pp.595 Algorithm 14.9 */ +018 int +019 s_mp_sub (mp_int * a, mp_int * b, mp_int * c) +020 \{ +021 int olduse, res, min, max; +022 +023 /* find sizes */ +024 min = b->used; +025 max = a->used; +026 +027 /* init result */ +028 if (c->alloc < max) \{ +029 if ((res = mp_grow (c, max)) != MP_OKAY) \{ +030 return res; +031 \} +032 \} +033 olduse = c->used; +034 c->used = max; +035 +036 \{ +037 mp_digit u, *tmpa, *tmpb, *tmpc; +038 int i; +039 +040 /* alias for digit pointers */ +041 tmpa = a->dp; +042 tmpb = b->dp; +043 tmpc = c->dp; +044 +045 /* set carry to zero */ +046 u = 0; +047 for (i = 0; i < min; i++) \{ +048 /* T[i] = A[i] - B[i] - U */ +049 *tmpc = (*tmpa++ - *tmpb++) - u; +050 +051 /* U = carry bit of T[i] +052 * Note this saves performing an AND operation since +053 * if a carry does occur it will propagate all the way to the +054 * MSB. As a result a single shift is enough to get the carry +055 */ +056 u = *tmpc >> ((mp_digit)((CHAR_BIT * sizeof(mp_digit)) - 1)); +057 +058 /* Clear carry from T[i] */ +059 *tmpc++ &= MP_MASK; +060 \} +061 +062 /* now copy higher words if any, e.g. if A has more digits than B */ +063 for (; i < max; i++) \{ +064 /* T[i] = A[i] - U */ +065 *tmpc = *tmpa++ - u; +066 +067 /* U = carry bit of T[i] */ +068 u = *tmpc >> ((mp_digit)((CHAR_BIT * sizeof(mp_digit)) - 1)); +069 +070 /* Clear carry from T[i] */ +071 *tmpc++ &= MP_MASK; +072 \} +073 +074 /* clear digits above used (since we may not have grown result above) */ + +075 for (i = c->used; i < olduse; i++) \{ +076 *tmpc++ = 0; +077 \} +078 \} +079 +080 mp_clamp (c); +081 return MP_OKAY; +082 \} +083 +084 #endif +085 \end{alltt} \end{small} -Like low level addition we ``sort'' the inputs. Except in this case the sorting is hardcoded -(lines 25 and 26). In reality the $min$ and $max$ variables are only aliases and are only -used to make the source code easier to read. Again the pointer alias optimization is used +Like low level addition we ``sort'' the inputs. Except in this case the sorting is hardcoded +(lines 24 and 25). In reality the $min$ and $max$ variables are only aliases and are only +used to make the source code easier to read. Again the pointer alias optimization is used within this algorithm. The aliases $tmpa$, $tmpb$ and $tmpc$ are initialized -(lines 42, 43 and 44) for $a$, $b$ and $c$ respectively. - -The first subtraction loop (lines 47 through 61) subtract digits from both inputs until the smaller of -the two inputs has been exhausted. As remarked earlier there is an implementation reason for using the ``awkward'' -method of extracting the carry (line 57). The traditional method for extracting the carry would be to shift -by $lg(\beta)$ positions and logically AND the least significant bit. The AND operation is required because all of -the bits above the $\lg(\beta)$'th bit will be set to one after a carry occurs from subtraction. This carry -extraction requires two relatively cheap operations to extract the carry. The other method is to simply shift the -most significant bit to the least significant bit thus extracting the carry with a single cheap operation. This +(lines 41, 42 and 43) for $a$, $b$ and $c$ respectively. + +The first subtraction loop (lines 46 through 60) subtract digits from both inputs until the smaller of +the two inputs has been exhausted. As remarked earlier there is an implementation reason for using the ``awkward'' +method of extracting the carry (line 56). The traditional method for extracting the carry would be to shift +by $lg(\beta)$ positions and logically AND the least significant bit. The AND operation is required because all of +the bits above the $\lg(\beta)$'th bit will be set to one after a carry occurs from subtraction. This carry +extraction requires two relatively cheap operations to extract the carry. The other method is to simply shift the +most significant bit to the least significant bit thus extracting the carry with a single cheap operation. This optimization only works on twos compliment machines which is a safe assumption to make. -If $a$ has a larger magnitude than $b$ an additional loop (lines 64 through 73) is required to propagate -the carry through $a$ and copy the result to $c$. +If $a$ has a larger magnitude than $b$ an additional loop (lines 63 through 72) is required to propagate +the carry through $a$ and copy the result to $c$. \subsection{High Level Addition} Now that both lower level addition and subtraction algorithms have been established an effective high level signed addition algorithm can be -established. This high level addition algorithm will be what other algorithms and developers will use to perform addition of mp\_int data -types. +established. This high level addition algorithm will be what other algorithms and developers will use to perform addition of mp\_int data +types. -Recall from section 5.2 that an mp\_int represents an integer with an unsigned mantissa (\textit{the array of digits}) and a \textbf{sign} +Recall from section 5.2 that an mp\_int represents an integer with an unsigned mantissa (\textit{the array of digits}) and a \textbf{sign} flag. A high level addition is actually performed as a series of eight separate cases which can be optimized down to three unique cases. \begin{figure}[!here] @@ -1879,8 +2436,8 @@ flag. A high level addition is actually performed as a series of eight separate \end{figure} \textbf{Algorithm mp\_add.} -This algorithm performs the signed addition of two mp\_int variables. There is no reference algorithm to draw upon from -either \cite{TAOCPV2} or \cite{HAC} since they both only provide unsigned operations. The algorithm is fairly +This algorithm performs the signed addition of two mp\_int variables. There is no reference algorithm to draw upon from +either \cite{TAOCPV2} or \cite{HAC} since they both only provide unsigned operations. The algorithm is fairly straightforward but restricted since subtraction can only produce positive results. \begin{figure}[here] @@ -1910,9 +2467,9 @@ straightforward but restricted since subtraction can only produce positive resul \label{fig:AddChart} \end{figure} -Figure~\ref{fig:AddChart} lists all of the eight possible input combinations and is sorted to show that only three -specific cases need to be handled. The return code of the unsigned operations at step 1.2, 2.1.2 and 2.2.2 are -forwarded to step three to check for errors. This simplifies the description of the algorithm considerably and best +Figure~\ref{fig:AddChart} lists all of the eight possible input combinations and is sorted to show that only three +specific cases need to be handled. The return code of the unsigned operations at step 1.2, 2.1.2 and 2.2.2 are +forwarded to step three to check for errors. This simplifies the description of the algorithm considerably and best follows how the implementation actually was achieved. Also note how the \textbf{sign} is set before the unsigned addition or subtraction is performed. Recall from the descriptions of algorithms @@ -1920,13 +2477,47 @@ s\_mp\_add and s\_mp\_sub that the mp\_clamp function is used at the end to trim to \textbf{MP\_ZPOS} when the \textbf{used} digit count reaches zero. For example, consider performing $-a + a$ with algorithm mp\_add. By the description of the algorithm the sign is set to \textbf{MP\_NEG} which would -produce a result of $-0$. However, since the sign is set first then the unsigned addition is performed the subsequent usage of algorithm mp\_clamp -within algorithm s\_mp\_add will force $-0$ to become $0$. +produce a result of $-0$. However, since the sign is set first then the unsigned addition is performed the subsequent usage of algorithm mp\_clamp +within algorithm s\_mp\_add will force $-0$ to become $0$. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_add.c \vspace{-3mm} \begin{alltt} +016 +017 /* high level addition (handles signs) */ +018 int mp_add (mp_int * a, mp_int * b, mp_int * c) +019 \{ +020 int sa, sb, res; +021 +022 /* get sign of both inputs */ +023 sa = a->sign; +024 sb = b->sign; +025 +026 /* handle two cases, not four */ +027 if (sa == sb) \{ +028 /* both positive or both negative */ +029 /* add their magnitudes, copy the sign */ +030 c->sign = sa; +031 res = s_mp_add (a, b, c); +032 \} else \{ +033 /* one positive, the other negative */ +034 /* subtract the one with the greater magnitude from */ +035 /* the one of the lesser magnitude. The result gets */ +036 /* the sign of the one with the greater magnitude. */ +037 if (mp_cmp_mag (a, b) == MP_LT) \{ +038 c->sign = sb; +039 res = s_mp_sub (b, a, c); +040 \} else \{ +041 c->sign = sa; +042 res = s_mp_sub (a, b, c); +043 \} +044 \} +045 return res; +046 \} +047 +048 #endif +049 \end{alltt} \end{small} @@ -1936,7 +2527,7 @@ explicitly checking it and returning the constant \textbf{MP\_OKAY}. The observ level functions do so. Returning their return code is sufficient. \subsection{High Level Subtraction} -The high level signed subtraction algorithm is essentially the same as the high level signed addition algorithm. +The high level signed subtraction algorithm is essentially the same as the high level signed addition algorithm. \newpage\begin{figure}[!here] \begin{center} @@ -1966,7 +2557,7 @@ The high level signed subtraction algorithm is essentially the same as the high \end{figure} \textbf{Algorithm mp\_sub.} -This algorithm performs the signed subtraction of two inputs. Similar to algorithm mp\_add there is no reference in either \cite{TAOCPV2} or +This algorithm performs the signed subtraction of two inputs. Similar to algorithm mp\_add there is no reference in either \cite{TAOCPV2} or \cite{HAC}. Also this algorithm is restricted by algorithm s\_mp\_sub. Chart \ref{fig:SubChart} lists the eight possible inputs and the operations required. @@ -1993,32 +2584,72 @@ the operations required. \label{fig:SubChart} \end{figure} -Similar to the case of algorithm mp\_add the \textbf{sign} is set first before the unsigned addition or subtraction. That is to prevent the -algorithm from producing $-a - -a = -0$ as a result. +Similar to the case of algorithm mp\_add the \textbf{sign} is set first before the unsigned addition or subtraction. That is to prevent the +algorithm from producing $-a - -a = -0$ as a result. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_sub.c \vspace{-3mm} \begin{alltt} +016 +017 /* high level subtraction (handles signs) */ +018 int +019 mp_sub (mp_int * a, mp_int * b, mp_int * c) +020 \{ +021 int sa, sb, res; +022 +023 sa = a->sign; +024 sb = b->sign; +025 +026 if (sa != sb) \{ +027 /* subtract a negative from a positive, OR */ +028 /* subtract a positive from a negative. */ +029 /* In either case, ADD their magnitudes, */ +030 /* and use the sign of the first number. */ +031 c->sign = sa; +032 res = s_mp_add (a, b, c); +033 \} else \{ +034 /* subtract a positive from a positive, OR */ +035 /* subtract a negative from a negative. */ +036 /* First, take the difference between their */ +037 /* magnitudes, then... */ +038 if (mp_cmp_mag (a, b) != MP_LT) \{ +039 /* Copy the sign from the first */ +040 c->sign = sa; +041 /* The first has a larger or equal magnitude */ +042 res = s_mp_sub (a, b, c); +043 \} else \{ +044 /* The result has the *opposite* sign from */ +045 /* the first number. */ +046 c->sign = (sa == MP_ZPOS) ? MP_NEG : MP_ZPOS; +047 /* The second has a larger magnitude */ +048 res = s_mp_sub (b, a, c); +049 \} +050 \} +051 return res; +052 \} +053 +054 #endif +055 \end{alltt} \end{small} Much like the implementation of algorithm mp\_add the variable $res$ is used to catch the return code of the unsigned addition or subtraction operations -and forward it to the end of the function. On line 39 the ``not equal to'' \textbf{MP\_LT} expression is used to emulate a -``greater than or equal to'' comparison. +and forward it to the end of the function. On line 38 the ``not equal to'' \textbf{MP\_LT} expression is used to emulate a +``greater than or equal to'' comparison. \section{Bit and Digit Shifting} -It is quite common to think of a multiple precision integer as a polynomial in $x$, that is $y = f(\beta)$ where $f(x) = \sum_{i=0}^{n-1} a_i x^i$. -This notation arises within discussion of Montgomery and Diminished Radix Reduction as well as Karatsuba multiplication and squaring. +It is quite common to think of a multiple precision integer as a polynomial in $x$, that is $y = f(\beta)$ where $f(x) = \sum_{i=0}^{n-1} a_i x^i$. +This notation arises within discussion of Montgomery and Diminished Radix Reduction as well as Karatsuba multiplication and squaring. In order to facilitate operations on polynomials in $x$ as above a series of simple ``digit'' algorithms have to be established. That is to shift the digits left or right as well to shift individual bits of the digits left and right. It is important to note that not all ``shift'' operations -are on radix-$\beta$ digits. +are on radix-$\beta$ digits. \subsection{Multiplication by Two} -In a binary system where the radix is a power of two multiplication by two not only arises often in other algorithms it is a fairly efficient -operation to perform. A single precision logical shift left is sufficient to multiply a single digit by two. +In a binary system where the radix is a power of two multiplication by two not only arises often in other algorithms it is a fairly efficient +operation to perform. A single precision logical shift left is sufficient to multiply a single digit by two. \newpage\begin{figure}[!here] \begin{small} @@ -2052,31 +2683,94 @@ operation to perform. A single precision logical shift left is sufficient to mu \end{figure} \textbf{Algorithm mp\_mul\_2.} -This algorithm will quickly multiply a mp\_int by two provided $\beta$ is a power of two. Neither \cite{TAOCPV2} nor \cite{HAC} describe such -an algorithm despite the fact it arises often in other algorithms. The algorithm is setup much like the lower level algorithm s\_mp\_add since -it is for all intents and purposes equivalent to the operation $b = \vert a \vert + \vert a \vert$. +This algorithm will quickly multiply a mp\_int by two provided $\beta$ is a power of two. Neither \cite{TAOCPV2} nor \cite{HAC} describe such +an algorithm despite the fact it arises often in other algorithms. The algorithm is setup much like the lower level algorithm s\_mp\_add since +it is for all intents and purposes equivalent to the operation $b = \vert a \vert + \vert a \vert$. Step 1 and 2 grow the input as required to accomodate the maximum number of \textbf{used} digits in the result. The initial \textbf{used} count is set to $a.used$ at step 4. Only if there is a final carry will the \textbf{used} count require adjustment. -Step 6 is an optimization implementation of the addition loop for this specific case. That is since the two values being added together +Step 6 is an optimization implementation of the addition loop for this specific case. That is since the two values being added together are the same there is no need to perform two reads from the digits of $a$. Step 6.1 performs a single precision shift on the current digit $a_n$ to obtain what will be the carry for the next iteration. Step 6.2 calculates the $n$'th digit of the result as single precision shift of $a_n$ plus -the previous carry. Recall from section 4.1 that $a_n << 1$ is equivalent to $a_n \cdot 2$. An iteration of the addition loop is finished with +the previous carry. Recall from section 4.1 that $a_n << 1$ is equivalent to $a_n \cdot 2$. An iteration of the addition loop is finished with forwarding the carry to the next iteration. -Step 7 takes care of any final carry by setting the $a.used$'th digit of the result to the carry and augmenting the \textbf{used} count of $b$. +Step 7 takes care of any final carry by setting the $a.used$'th digit of the result to the carry and augmenting the \textbf{used} count of $b$. Step 8 clears any leading digits of $b$ in case it originally had a larger magnitude than $a$. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_mul\_2.c \vspace{-3mm} \begin{alltt} +016 +017 /* b = a*2 */ +018 int mp_mul_2(mp_int * a, mp_int * b) +019 \{ +020 int x, res, oldused; +021 +022 /* grow to accomodate result */ +023 if (b->alloc < (a->used + 1)) \{ +024 if ((res = mp_grow (b, a->used + 1)) != MP_OKAY) \{ +025 return res; +026 \} +027 \} +028 +029 oldused = b->used; +030 b->used = a->used; +031 +032 \{ +033 mp_digit r, rr, *tmpa, *tmpb; +034 +035 /* alias for source */ +036 tmpa = a->dp; +037 +038 /* alias for dest */ +039 tmpb = b->dp; +040 +041 /* carry */ +042 r = 0; +043 for (x = 0; x < a->used; x++) \{ +044 +045 /* get what will be the *next* carry bit from the +046 * MSB of the current digit +047 */ +048 rr = *tmpa >> ((mp_digit)(DIGIT_BIT - 1)); +049 +050 /* now shift up this digit, add in the carry [from the previous] */ +051 *tmpb++ = ((*tmpa++ << ((mp_digit)1)) | r) & MP_MASK; +052 +053 /* copy the carry that would be from the source +054 * digit into the next iteration +055 */ +056 r = rr; +057 \} +058 +059 /* new leading digit? */ +060 if (r != 0) \{ +061 /* add a MSB which is always 1 at this point */ +062 *tmpb = 1; +063 ++(b->used); +064 \} +065 +066 /* now zero any excess digits on the destination +067 * that we didn't write to +068 */ +069 tmpb = b->dp + b->used; +070 for (x = b->used; x < oldused; x++) \{ +071 *tmpb++ = 0; +072 \} +073 \} +074 b->sign = a->sign; +075 return MP_OKAY; +076 \} +077 #endif +078 \end{alltt} \end{small} This implementation is essentially an optimized implementation of s\_mp\_add for the case of doubling an input. The only noteworthy difference -is the use of the logical shift operator on line 52 to perform a single precision doubling. +is the use of the logical shift operator on line 51 to perform a single precision doubling. \subsection{Division by Two} A division by two can just as easily be accomplished with a logical shift right as multiplication by two can be with a logical shift left. @@ -2117,31 +2811,80 @@ core as the basis of the algorithm. Unlike mp\_mul\_2 the shift operations work could be written to work from the trailing digit to the leading digit however, it would have to stop one short of $a.used - 1$ digits to prevent reading past the end of the array of digits. -Essentially the loop at step 6 is similar to that of mp\_mul\_2 except the logical shifts go in the opposite direction and the carry is at the -least significant bit not the most significant bit. +Essentially the loop at step 6 is similar to that of mp\_mul\_2 except the logical shifts go in the opposite direction and the carry is at the +least significant bit not the most significant bit. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_div\_2.c \vspace{-3mm} \begin{alltt} +016 +017 /* b = a/2 */ +018 int mp_div_2(mp_int * a, mp_int * b) +019 \{ +020 int x, res, oldused; +021 +022 /* copy */ +023 if (b->alloc < a->used) \{ +024 if ((res = mp_grow (b, a->used)) != MP_OKAY) \{ +025 return res; +026 \} +027 \} +028 +029 oldused = b->used; +030 b->used = a->used; +031 \{ +032 mp_digit r, rr, *tmpa, *tmpb; +033 +034 /* source alias */ +035 tmpa = a->dp + b->used - 1; +036 +037 /* dest alias */ +038 tmpb = b->dp + b->used - 1; +039 +040 /* carry */ +041 r = 0; +042 for (x = b->used - 1; x >= 0; x--) \{ +043 /* get the carry for the next iteration */ +044 rr = *tmpa & 1; +045 +046 /* shift the current digit, add in carry and store */ +047 *tmpb-- = (*tmpa-- >> 1) | (r << (DIGIT_BIT - 1)); +048 +049 /* forward carry to next iteration */ +050 r = rr; +051 \} +052 +053 /* zero excess digits */ +054 tmpb = b->dp + b->used; +055 for (x = b->used; x < oldused; x++) \{ +056 *tmpb++ = 0; +057 \} +058 \} +059 b->sign = a->sign; +060 mp_clamp (b); +061 return MP_OKAY; +062 \} +063 #endif +064 \end{alltt} \end{small} \section{Polynomial Basis Operations} Recall from section 4.3 that any integer can be represented as a polynomial in $x$ as $y = f(\beta)$. Such a representation is also known as -the polynomial basis \cite[pp. 48]{ROSE}. Given such a notation a multiplication or division by $x$ amounts to shifting whole digits a single +the polynomial basis \cite[pp. 48]{ROSE}. Given such a notation a multiplication or division by $x$ amounts to shifting whole digits a single place. The need for such operations arises in several other higher level algorithms such as Barrett and Montgomery reduction, integer -division and Karatsuba multiplication. +division and Karatsuba multiplication. Converting from an array of digits to polynomial basis is very simple. Consider the integer $y \equiv (a_2, a_1, a_0)_{\beta}$ and recall that $y = \sum_{i=0}^{2} a_i \beta^i$. Simply replace $\beta$ with $x$ and the expression is in polynomial basis. For example, $f(x) = 8x + 9$ is the -polynomial basis representation for $89$ using radix ten. That is, $f(10) = 8(10) + 9 = 89$. +polynomial basis representation for $89$ using radix ten. That is, $f(10) = 8(10) + 9 = 89$. \subsection{Multiplication by $x$} -Given a polynomial in $x$ such as $f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_0$ multiplying by $x$ amounts to shifting the coefficients up one +Given a polynomial in $x$ such as $f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_0$ multiplying by $x$ amounts to shifting the coefficients up one degree. In this case $f(x) \cdot x = a_n x^{n+1} + a_{n-1} x^n + ... + a_0 x$. From a scalar basis point of view multiplying by $x$ is equivalent to -multiplying by the integer $\beta$. +multiplying by the integer $\beta$. \newpage\begin{figure}[!here] \begin{small} @@ -2172,16 +2915,16 @@ multiplying by the integer $\beta$. \end{figure} \textbf{Algorithm mp\_lshd.} -This algorithm multiplies an mp\_int by the $b$'th power of $x$. This is equivalent to multiplying by $\beta^b$. The algorithm differs +This algorithm multiplies an mp\_int by the $b$'th power of $x$. This is equivalent to multiplying by $\beta^b$. The algorithm differs from the other algorithms presented so far as it performs the operation in place instead storing the result in a separate location. The motivation behind this change is due to the way this function is typically used. Algorithms such as mp\_add store the result in an optionally different third mp\_int because the original inputs are often still required. Algorithm mp\_lshd (\textit{and similarly algorithm mp\_rshd}) is -typically used on values where the original value is no longer required. The algorithm will return success immediately if -$b \le 0$ since the rest of algorithm is only valid when $b > 0$. +typically used on values where the original value is no longer required. The algorithm will return success immediately if +$b \le 0$ since the rest of algorithm is only valid when $b > 0$. First the destination $a$ is grown as required to accomodate the result. The counters $i$ and $j$ are used to form a \textit{sliding window} over -the digits of $a$ of length $b$. The head of the sliding window is at $i$ (\textit{the leading digit}) and the tail at $j$ (\textit{the trailing digit}). -The loop on step 7 copies the digit from the tail to the head. In each iteration the window is moved down one digit. The last loop on +the digits of $a$ of length $b$. The head of the sliding window is at $i$ (\textit{the leading digit}) and the tail at $j$ (\textit{the trailing digit}). +The loop on step 7 copies the digit from the tail to the head. In each iteration the window is moved down one digit. The last loop on step 8 sets the lower $b$ digits to zero. \newpage @@ -2197,18 +2940,66 @@ step 8 sets the lower $b$ digits to zero. \hspace{-5.1mm}{\bf File}: bn\_mp\_lshd.c \vspace{-3mm} \begin{alltt} +016 +017 /* shift left a certain amount of digits */ +018 int mp_lshd (mp_int * a, int b) +019 \{ +020 int x, res; +021 +022 /* if its less than zero return */ +023 if (b <= 0) \{ +024 return MP_OKAY; +025 \} +026 +027 /* grow to fit the new digits */ +028 if (a->alloc < (a->used + b)) \{ +029 if ((res = mp_grow (a, a->used + b)) != MP_OKAY) \{ +030 return res; +031 \} +032 \} +033 +034 \{ +035 mp_digit *top, *bottom; +036 +037 /* increment the used by the shift amount then copy upwards */ +038 a->used += b; +039 +040 /* top */ +041 top = a->dp + a->used - 1; +042 +043 /* base */ +044 bottom = (a->dp + a->used - 1) - b; +045 +046 /* much like mp_rshd this is implemented using a sliding window +047 * except the window goes the otherway around. Copying from +048 * the bottom to the top. see bn_mp_rshd.c for more info. +049 */ +050 for (x = a->used - 1; x >= b; x--) \{ +051 *top-- = *bottom--; +052 \} +053 +054 /* zero the lower digits */ +055 top = a->dp; +056 for (x = 0; x < b; x++) \{ +057 *top++ = 0; +058 \} +059 \} +060 return MP_OKAY; +061 \} +062 #endif +063 \end{alltt} \end{small} -The if statement (line 24) ensures that the $b$ variable is greater than zero since we do not interpret negative -shift counts properly. The \textbf{used} count is incremented by $b$ before the copy loop begins. This elminates -the need for an additional variable in the for loop. The variable $top$ (line 42) is an alias -for the leading digit while $bottom$ (line 45) is an alias for the trailing edge. The aliases form a -window of exactly $b$ digits over the input. +The if statement (line 23) ensures that the $b$ variable is greater than zero since we do not interpret negative +shift counts properly. The \textbf{used} count is incremented by $b$ before the copy loop begins. This elminates +the need for an additional variable in the for loop. The variable $top$ (line 41) is an alias +for the leading digit while $bottom$ (line 44) is an alias for the trailing edge. The aliases form a +window of exactly $b$ digits over the input. \subsection{Division by $x$} -Division by powers of $x$ is easily achieved by shifting the digits right and removing any that will end up to the right of the zero'th digit. +Division by powers of $x$ is easily achieved by shifting the digits right and removing any that will end up to the right of the zero'th digit. \newpage\begin{figure}[!here] \begin{small} @@ -2241,13 +3032,13 @@ Division by powers of $x$ is easily achieved by shifting the digits right and re \textbf{Algorithm mp\_rshd.} This algorithm divides the input in place by the $b$'th power of $x$. It is analogous to dividing by a $\beta^b$ but much quicker since -it does not require single precision division. This algorithm does not actually return an error code as it cannot fail. +it does not require single precision division. This algorithm does not actually return an error code as it cannot fail. If the input $b$ is less than one the algorithm quickly returns without performing any work. If the \textbf{used} count is less than or equal to the shift count $b$ then it will simply zero the input and return. After the trivial cases of inputs have been handled the sliding window is setup. Much like the case of algorithm mp\_lshd a sliding window that -is $b$ digits wide is used to copy the digits. Unlike mp\_lshd the window slides in the opposite direction from the trailing to the leading digit. +is $b$ digits wide is used to copy the digits. Unlike mp\_lshd the window slides in the opposite direction from the trailing to the leading digit. Also the digits are copied from the leading to the trailing edge. Once the window copy is complete the upper digits must be zeroed and the \textbf{used} count decremented. @@ -2256,18 +3047,71 @@ Once the window copy is complete the upper digits must be zeroed and the \textbf \hspace{-5.1mm}{\bf File}: bn\_mp\_rshd.c \vspace{-3mm} \begin{alltt} +016 +017 /* shift right a certain amount of digits */ +018 void mp_rshd (mp_int * a, int b) +019 \{ +020 int x; +021 +022 /* if b <= 0 then ignore it */ +023 if (b <= 0) \{ +024 return; +025 \} +026 +027 /* if b > used then simply zero it and return */ +028 if (a->used <= b) \{ +029 mp_zero (a); +030 return; +031 \} +032 +033 \{ +034 mp_digit *bottom, *top; +035 +036 /* shift the digits down */ +037 +038 /* bottom */ +039 bottom = a->dp; +040 +041 /* top [offset into digits] */ +042 top = a->dp + b; +043 +044 /* this is implemented as a sliding window where +045 * the window is b-digits long and digits from +046 * the top of the window are copied to the bottom +047 * +048 * e.g. +049 +050 b-2 | b-1 | b0 | b1 | b2 | ... | bb | ----> +051 /\symbol{92} | ----> +052 \symbol{92}-------------------/ ----> +053 */ +054 for (x = 0; x < (a->used - b); x++) \{ +055 *bottom++ = *top++; +056 \} +057 +058 /* zero the top digits */ +059 for (; x < a->used; x++) \{ +060 *bottom++ = 0; +061 \} +062 \} +063 +064 /* remove excess digits */ +065 a->used -= b; +066 \} +067 #endif +068 \end{alltt} \end{small} The only noteworthy element of this routine is the lack of a return type since it cannot fail. Like mp\_lshd() we -form a sliding window except we copy in the other direction. After the window (line 60) we then zero +form a sliding window except we copy in the other direction. After the window (line 59) we then zero the upper digits of the input to make sure the result is correct. \section{Powers of Two} -Now that algorithms for moving single bits as well as whole digits exist algorithms for moving the ``in between'' distances are required. For +Now that algorithms for moving single bits as well as whole digits exist algorithms for moving the ``in between'' distances are required. For example, to quickly multiply by $2^k$ for any $k$ without using a full multiplier algorithm would prove useful. Instead of performing single -shifts $k$ times to achieve a multiplication by $2^{\pm k}$ a mixture of whole digit shifting and partial digit shifting is employed. +shifts $k$ times to achieve a multiplication by $2^{\pm k}$ a mixture of whole digit shifting and partial digit shifting is employed. \subsection{Multiplication by Power of Two} @@ -2308,34 +3152,100 @@ shifts $k$ times to achieve a multiplication by $2^{\pm k}$ a mixture of whole d This algorithm multiplies $a$ by $2^b$ and stores the result in $c$. The algorithm uses algorithm mp\_lshd and a derivative of algorithm mp\_mul\_2 to quickly compute the product. -First the algorithm will multiply $a$ by $x^{\lfloor b / lg(\beta) \rfloor}$ which will ensure that the remainder multiplicand is less than -$\beta$. For example, if $b = 37$ and $\beta = 2^{28}$ then this step will multiply by $x$ leaving a multiplication by $2^{37 - 28} = 2^{9}$ +First the algorithm will multiply $a$ by $x^{\lfloor b / lg(\beta) \rfloor}$ which will ensure that the remainder multiplicand is less than +$\beta$. For example, if $b = 37$ and $\beta = 2^{28}$ then this step will multiply by $x$ leaving a multiplication by $2^{37 - 28} = 2^{9}$ left. -After the digits have been shifted appropriately at most $lg(\beta) - 1$ shifts are left to perform. Step 5 calculates the number of remaining shifts -required. If it is non-zero a modified shift loop is used to calculate the remaining product. +After the digits have been shifted appropriately at most $lg(\beta) - 1$ shifts are left to perform. Step 5 calculates the number of remaining shifts +required. If it is non-zero a modified shift loop is used to calculate the remaining product. Essentially the loop is a generic version of algorithm mp\_mul\_2 designed to handle any shift count in the range $1 \le x < lg(\beta)$. The $mask$ -variable is used to extract the upper $d$ bits to form the carry for the next iteration. +variable is used to extract the upper $d$ bits to form the carry for the next iteration. -This algorithm is loosely measured as a $O(2n)$ algorithm which means that if the input is $n$-digits that it takes $2n$ ``time'' to +This algorithm is loosely measured as a $O(2n)$ algorithm which means that if the input is $n$-digits that it takes $2n$ ``time'' to complete. It is possible to optimize this algorithm down to a $O(n)$ algorithm at a cost of making the algorithm slightly harder to follow. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_mul\_2d.c \vspace{-3mm} \begin{alltt} +016 +017 /* shift left by a certain bit count */ +018 int mp_mul_2d (mp_int * a, int b, mp_int * c) +019 \{ +020 mp_digit d; +021 int res; +022 +023 /* copy */ +024 if (a != c) \{ +025 if ((res = mp_copy (a, c)) != MP_OKAY) \{ +026 return res; +027 \} +028 \} +029 +030 if (c->alloc < (int)(c->used + (b / DIGIT_BIT) + 1)) \{ +031 if ((res = mp_grow (c, c->used + (b / DIGIT_BIT) + 1)) != MP_OKAY) \{ +032 return res; +033 \} +034 \} +035 +036 /* shift by as many digits in the bit count */ +037 if (b >= (int)DIGIT_BIT) \{ +038 if ((res = mp_lshd (c, b / DIGIT_BIT)) != MP_OKAY) \{ +039 return res; +040 \} +041 \} +042 +043 /* shift any bit count < DIGIT_BIT */ +044 d = (mp_digit) (b % DIGIT_BIT); +045 if (d != 0) \{ +046 mp_digit *tmpc, shift, mask, r, rr; +047 int x; +048 +049 /* bitmask for carries */ +050 mask = (((mp_digit)1) << d) - 1; +051 +052 /* shift for msbs */ +053 shift = DIGIT_BIT - d; +054 +055 /* alias */ +056 tmpc = c->dp; +057 +058 /* carry */ +059 r = 0; +060 for (x = 0; x < c->used; x++) \{ +061 /* get the higher bits of the current word */ +062 rr = (*tmpc >> shift) & mask; +063 +064 /* shift the current word and OR in the carry */ +065 *tmpc = ((*tmpc << d) | r) & MP_MASK; +066 ++tmpc; +067 +068 /* set the carry to the carry bits of the current word */ +069 r = rr; +070 \} +071 +072 /* set final carry */ +073 if (r != 0) \{ +074 c->dp[(c->used)++] = r; +075 \} +076 \} +077 mp_clamp (c); +078 return MP_OKAY; +079 \} +080 #endif +081 \end{alltt} \end{small} -The shifting is performed in--place which means the first step (line 25) is to copy the input to the +The shifting is performed in--place which means the first step (line 24) is to copy the input to the destination. We avoid calling mp\_copy() by making sure the mp\_ints are different. The destination then -has to be grown (line 32) to accomodate the result. +has to be grown (line 31) to accomodate the result. -If the shift count $b$ is larger than $lg(\beta)$ then a call to mp\_lshd() is used to handle all of the multiples -of $lg(\beta)$. Leaving only a remaining shift of $lg(\beta) - 1$ or fewer bits left. Inside the actual shift -loop (lines 46 to 76) we make use of pre--computed values $shift$ and $mask$. These are used to -extract the carry bit(s) to pass into the next iteration of the loop. The $r$ and $rr$ variables form a -chain between consecutive iterations to propagate the carry. +If the shift count $b$ is larger than $lg(\beta)$ then a call to mp\_lshd() is used to handle all of the multiples +of $lg(\beta)$. Leaving only a remaining shift of $lg(\beta) - 1$ or fewer bits left. Inside the actual shift +loop (lines 45 to 76) we make use of pre--computed values $shift$ and $mask$. These are used to +extract the carry bit(s) to pass into the next iteration of the loop. The $r$ and $rr$ variables form a +chain between consecutive iterations to propagate the carry. \subsection{Division by Power of Two} @@ -2373,7 +3283,7 @@ chain between consecutive iterations to propagate the carry. \end{figure} \textbf{Algorithm mp\_div\_2d.} -This algorithm will divide an input $a$ by $2^b$ and produce the quotient and remainder. The algorithm is designed much like algorithm +This algorithm will divide an input $a$ by $2^b$ and produce the quotient and remainder. The algorithm is designed much like algorithm mp\_mul\_2d by first using whole digit shifts then single precision shifts. This algorithm will also produce the remainder of the division by using algorithm mp\_mod\_2d. @@ -2381,11 +3291,91 @@ by using algorithm mp\_mod\_2d. \hspace{-5.1mm}{\bf File}: bn\_mp\_div\_2d.c \vspace{-3mm} \begin{alltt} +016 +017 /* shift right by a certain bit count (store quotient in c, optional remaind + er in d) */ +018 int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d) +019 \{ +020 mp_digit D, r, rr; +021 int x, res; +022 mp_int t; +023 +024 +025 /* if the shift count is <= 0 then we do no work */ +026 if (b <= 0) \{ +027 res = mp_copy (a, c); +028 if (d != NULL) \{ +029 mp_zero (d); +030 \} +031 return res; +032 \} +033 +034 if ((res = mp_init (&t)) != MP_OKAY) \{ +035 return res; +036 \} +037 +038 /* get the remainder */ +039 if (d != NULL) \{ +040 if ((res = mp_mod_2d (a, b, &t)) != MP_OKAY) \{ +041 mp_clear (&t); +042 return res; +043 \} +044 \} +045 +046 /* copy */ +047 if ((res = mp_copy (a, c)) != MP_OKAY) \{ +048 mp_clear (&t); +049 return res; +050 \} +051 +052 /* shift by as many digits in the bit count */ +053 if (b >= (int)DIGIT_BIT) \{ +054 mp_rshd (c, b / DIGIT_BIT); +055 \} +056 +057 /* shift any bit count < DIGIT_BIT */ +058 D = (mp_digit) (b % DIGIT_BIT); +059 if (D != 0) \{ +060 mp_digit *tmpc, mask, shift; +061 +062 /* mask */ +063 mask = (((mp_digit)1) << D) - 1; +064 +065 /* shift for lsb */ +066 shift = DIGIT_BIT - D; +067 +068 /* alias */ +069 tmpc = c->dp + (c->used - 1); +070 +071 /* carry */ +072 r = 0; +073 for (x = c->used - 1; x >= 0; x--) \{ +074 /* get the lower bits of this word in a temp */ +075 rr = *tmpc & mask; +076 +077 /* shift the current word and mix in the carry bits from the previous + word */ +078 *tmpc = (*tmpc >> D) | (r << shift); +079 --tmpc; +080 +081 /* set the carry to the carry bits of the current word found above */ +082 r = rr; +083 \} +084 \} +085 mp_clamp (c); +086 if (d != NULL) \{ +087 mp_exch (&t, d); +088 \} +089 mp_clear (&t); +090 return MP_OKAY; +091 \} +092 #endif +093 \end{alltt} \end{small} -The implementation of algorithm mp\_div\_2d is slightly different than the algorithm specifies. The remainder $d$ may be optionally -ignored by passing \textbf{NULL} as the pointer to the mp\_int variable. The temporary mp\_int variable $t$ is used to hold the +The implementation of algorithm mp\_div\_2d is slightly different than the algorithm specifies. The remainder $d$ may be optionally +ignored by passing \textbf{NULL} as the pointer to the mp\_int variable. The temporary mp\_int variable $t$ is used to hold the result of the remainder operation until the end. This allows $d$ and $a$ to represent the same mp\_int without modifying $a$ before the quotient is obtained. @@ -2395,7 +3385,7 @@ the direction of the shifts. \subsection{Remainder of Division by Power of Two} The last algorithm in the series of polynomial basis power of two algorithms is calculating the remainder of division by $2^b$. This -algorithm benefits from the fact that in twos complement arithmetic $a \mbox{ (mod }2^b\mbox{)}$ is the same as $a$ AND $2^b - 1$. +algorithm benefits from the fact that in twos complement arithmetic $a \mbox{ (mod }2^b\mbox{)}$ is the same as $a$ AND $2^b - 1$. \begin{figure}[!here] \begin{small} @@ -2427,14 +3417,52 @@ algorithm benefits from the fact that in twos complement arithmetic $a \mbox{ (m \end{figure} \textbf{Algorithm mp\_mod\_2d.} -This algorithm will quickly calculate the value of $a \mbox{ (mod }2^b\mbox{)}$. First if $b$ is less than or equal to zero the -result is set to zero. If $b$ is greater than the number of bits in $a$ then it simply copies $a$ to $c$ and returns. Otherwise, $a$ +This algorithm will quickly calculate the value of $a \mbox{ (mod }2^b\mbox{)}$. First if $b$ is less than or equal to zero the +result is set to zero. If $b$ is greater than the number of bits in $a$ then it simply copies $a$ to $c$ and returns. Otherwise, $a$ is copied to $b$, leading digits are removed and the remaining leading digit is trimed to the exact bit count. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_mod\_2d.c \vspace{-3mm} \begin{alltt} +016 +017 /* calc a value mod 2**b */ +018 int +019 mp_mod_2d (mp_int * a, int b, mp_int * c) +020 \{ +021 int x, res; +022 +023 /* if b is <= 0 then zero the int */ +024 if (b <= 0) \{ +025 mp_zero (c); +026 return MP_OKAY; +027 \} +028 +029 /* if the modulus is larger than the value than return */ +030 if (b >= (int) (a->used * DIGIT_BIT)) \{ +031 res = mp_copy (a, c); +032 return res; +033 \} +034 +035 /* copy */ +036 if ((res = mp_copy (a, c)) != MP_OKAY) \{ +037 return res; +038 \} +039 +040 /* zero digits above the last digit of the modulus */ +041 for (x = (b / DIGIT_BIT) + (((b % DIGIT_BIT) == 0) ? 0 : 1); x < c->used; + x++) \{ +042 c->dp[x] = 0; +043 \} +044 /* clear the digit that is not completely outside/inside the modulus */ +045 c->dp[b / DIGIT_BIT] &= +046 (mp_digit) ((((mp_digit) 1) << (((mp_digit) b) % DIGIT_BIT)) - ((mp_digi + t) 1)); +047 mp_clamp (c); +048 return MP_OKAY; +049 \} +050 #endif +051 \end{alltt} \end{small} @@ -2442,9 +3470,9 @@ We first avoid cases of $b \le 0$ by simply mp\_zero()'ing the destination in su than the input we just mp\_copy() the input and return right away. After this point we know we must actually perform some work to produce the remainder. -Recalling that reducing modulo $2^k$ and a binary ``and'' with $2^k - 1$ are numerically equivalent we can quickly reduce -the number. First we zero any digits above the last digit in $2^b$ (line 42). Next we reduce the -leading digit of both (line 46) and then mp\_clamp(). +Recalling that reducing modulo $2^k$ and a binary ``and'' with $2^k - 1$ are numerically equivalent we can quickly reduce +the number. First we zero any digits above the last digit in $2^b$ (line 41). Next we reduce the +leading digit of both (line 45) and then mp\_clamp(). \section*{Exercises} \begin{tabular}{cl} @@ -2477,40 +3505,40 @@ $\left [ 2 \right ] $ & Using only algorithms mp\_abs and mp\_sub devise another \chapter{Multiplication and Squaring} \section{The Multipliers} -For most number theoretic problems including certain public key cryptographic algorithms, the ``multipliers'' form the most important subset of -algorithms of any multiple precision integer package. The set of multiplier algorithms include integer multiplication, squaring and modular reduction -where in each of the algorithms single precision multiplication is the dominant operation performed. This chapter will discuss integer multiplication -and squaring, leaving modular reductions for the subsequent chapter. +For most number theoretic problems including certain public key cryptographic algorithms, the ``multipliers'' form the most important subset of +algorithms of any multiple precision integer package. The set of multiplier algorithms include integer multiplication, squaring and modular reduction +where in each of the algorithms single precision multiplication is the dominant operation performed. This chapter will discuss integer multiplication +and squaring, leaving modular reductions for the subsequent chapter. -The importance of the multiplier algorithms is for the most part driven by the fact that certain popular public key algorithms are based on modular +The importance of the multiplier algorithms is for the most part driven by the fact that certain popular public key algorithms are based on modular exponentiation, that is computing $d \equiv a^b \mbox{ (mod }c\mbox{)}$ for some arbitrary choice of $a$, $b$, $c$ and $d$. During a modular -exponentiation the majority\footnote{Roughly speaking a modular exponentiation will spend about 40\% of the time performing modular reductions, -35\% of the time performing squaring and 25\% of the time performing multiplications.} of the processor time is spent performing single precision +exponentiation the majority\footnote{Roughly speaking a modular exponentiation will spend about 40\% of the time performing modular reductions, +35\% of the time performing squaring and 25\% of the time performing multiplications.} of the processor time is spent performing single precision multiplications. -For centuries general purpose multiplication has required a lengthly $O(n^2)$ process, whereby each digit of one multiplicand has to be multiplied -against every digit of the other multiplicand. Traditional long-hand multiplication is based on this process; while the techniques can differ the -overall algorithm used is essentially the same. Only ``recently'' have faster algorithms been studied. First Karatsuba multiplication was discovered in -1962. This algorithm can multiply two numbers with considerably fewer single precision multiplications when compared to the long-hand approach. -This technique led to the discovery of polynomial basis algorithms (\textit{good reference?}) and subquently Fourier Transform based solutions. +For centuries general purpose multiplication has required a lengthly $O(n^2)$ process, whereby each digit of one multiplicand has to be multiplied +against every digit of the other multiplicand. Traditional long-hand multiplication is based on this process; while the techniques can differ the +overall algorithm used is essentially the same. Only ``recently'' have faster algorithms been studied. First Karatsuba multiplication was discovered in +1962. This algorithm can multiply two numbers with considerably fewer single precision multiplications when compared to the long-hand approach. +This technique led to the discovery of polynomial basis algorithms (\textit{good reference?}) and subquently Fourier Transform based solutions. \section{Multiplication} \subsection{The Baseline Multiplication} \label{sec:basemult} \index{baseline multiplication} Computing the product of two integers in software can be achieved using a trivial adaptation of the standard $O(n^2)$ long-hand multiplication -algorithm that school children are taught. The algorithm is considered an $O(n^2)$ algorithm since for two $n$-digit inputs $n^2$ single precision -multiplications are required. More specifically for a $m$ and $n$ digit input $m \cdot n$ single precision multiplications are required. To -simplify most discussions, it will be assumed that the inputs have comparable number of digits. - -The ``baseline multiplication'' algorithm is designed to act as the ``catch-all'' algorithm, only to be used when the faster algorithms cannot be -used. This algorithm does not use any particularly interesting optimizations and should ideally be avoided if possible. One important -facet of this algorithm, is that it has been modified to only produce a certain amount of output digits as resolution. The importance of this -modification will become evident during the discussion of Barrett modular reduction. Recall that for a $n$ and $m$ digit input the product -will be at most $n + m$ digits. Therefore, this algorithm can be reduced to a full multiplier by having it produce $n + m$ digits of the product. - -Recall from sub-section 4.2.2 the definition of $\gamma$ as the number of bits in the type \textbf{mp\_digit}. We shall now extend the variable set to -include $\alpha$ which shall represent the number of bits in the type \textbf{mp\_word}. This implies that $2^{\alpha} > 2 \cdot \beta^2$. The +algorithm that school children are taught. The algorithm is considered an $O(n^2)$ algorithm since for two $n$-digit inputs $n^2$ single precision +multiplications are required. More specifically for a $m$ and $n$ digit input $m \cdot n$ single precision multiplications are required. To +simplify most discussions, it will be assumed that the inputs have comparable number of digits. + +The ``baseline multiplication'' algorithm is designed to act as the ``catch-all'' algorithm, only to be used when the faster algorithms cannot be +used. This algorithm does not use any particularly interesting optimizations and should ideally be avoided if possible. One important +facet of this algorithm, is that it has been modified to only produce a certain amount of output digits as resolution. The importance of this +modification will become evident during the discussion of Barrett modular reduction. Recall that for a $n$ and $m$ digit input the product +will be at most $n + m$ digits. Therefore, this algorithm can be reduced to a full multiplier by having it produce $n + m$ digits of the product. + +Recall from sub-section 4.2.2 the definition of $\gamma$ as the number of bits in the type \textbf{mp\_digit}. We shall now extend the variable set to +include $\alpha$ which shall represent the number of bits in the type \textbf{mp\_word}. This implies that $2^{\alpha} > 2 \cdot \beta^2$. The constant $\delta = 2^{\alpha - 2lg(\beta)}$ will represent the maximal weight of any column in a product (\textit{see sub-section 5.2.2 for more information}). \newpage\begin{figure}[!here] @@ -2554,20 +3582,20 @@ Compute the product. \\ \textbf{Algorithm s\_mp\_mul\_digs.} This algorithm computes the unsigned product of two inputs $a$ and $b$, limited to an output precision of $digs$ digits. While it may seem -a bit awkward to modify the function from its simple $O(n^2)$ description, the usefulness of partial multipliers will arise in a subsequent -algorithm. The algorithm is loosely based on algorithm 14.12 from \cite[pp. 595]{HAC} and is similar to Algorithm M of Knuth \cite[pp. 268]{TAOCPV2}. -Algorithm s\_mp\_mul\_digs differs from these cited references since it can produce a variable output precision regardless of the precision of the +a bit awkward to modify the function from its simple $O(n^2)$ description, the usefulness of partial multipliers will arise in a subsequent +algorithm. The algorithm is loosely based on algorithm 14.12 from \cite[pp. 595]{HAC} and is similar to Algorithm M of Knuth \cite[pp. 268]{TAOCPV2}. +Algorithm s\_mp\_mul\_digs differs from these cited references since it can produce a variable output precision regardless of the precision of the inputs. The first thing this algorithm checks for is whether a Comba multiplier can be used instead. If the minimum digit count of either -input is less than $\delta$, then the Comba method may be used instead. After the Comba method is ruled out, the baseline algorithm begins. A -temporary mp\_int variable $t$ is used to hold the intermediate result of the product. This allows the algorithm to be used to -compute products when either $a = c$ or $b = c$ without overwriting the inputs. +input is less than $\delta$, then the Comba method may be used instead. After the Comba method is ruled out, the baseline algorithm begins. A +temporary mp\_int variable $t$ is used to hold the intermediate result of the product. This allows the algorithm to be used to +compute products when either $a = c$ or $b = c$ without overwriting the inputs. All of step 5 is the infamous $O(n^2)$ multiplication loop slightly modified to only produce upto $digs$ digits of output. The $pb$ variable is given the count of digits to read from $b$ inside the nested loop. If $pb \le 1$ then no more output digits can be produced and the algorithm -will exit the loop. The best way to think of the loops are as a series of $pb \times 1$ multiplications. That is, in each pass of the -innermost loop $a_{ix}$ is multiplied against $b$ and the result is added (\textit{with an appropriate shift}) to $t$. +will exit the loop. The best way to think of the loops are as a series of $pb \times 1$ multiplications. That is, in each pass of the +innermost loop $a_{ix}$ is multiplied against $b$ and the result is added (\textit{with an appropriate shift}) to $t$. For example, consider multiplying $576$ by $241$. That is equivalent to computing $10^0(1)(576) + 10^1(4)(576) + 10^2(2)(576)$ which is best visualized in the following table. @@ -2581,20 +3609,20 @@ visualized in the following table. && & 5 & 7 & 6 & $10^0(1)(576)$ \\ &2 & 3 & 6 & 1 & 6 & $10^1(4)(576) + 10^0(1)(576)$ \\ 1 & 3 & 8 & 8 & 1 & 6 & $10^2(2)(576) + 10^1(4)(576) + 10^0(1)(576)$ \\ -\hline +\hline \end{tabular} \end{center} \caption{Long-Hand Multiplication Diagram} \end{figure} -Each row of the product is added to the result after being shifted to the left (\textit{multiplied by a power of the radix}) by the appropriate +Each row of the product is added to the result after being shifted to the left (\textit{multiplied by a power of the radix}) by the appropriate count. That is in pass $ix$ of the inner loop the product is added starting at the $ix$'th digit of the reult. Step 5.4.1 introduces the hat symbol (\textit{e.g. $\hat r$}) which represents a double precision variable. The multiplication on that step is assumed to be a double wide output single precision multiplication. That is, two single precision variables are multiplied to produce a double precision result. The step is somewhat optimized from a long-hand multiplication algorithm because the carry from the addition in step -5.4.1 is propagated through the nested loop. If the carry was not propagated immediately it would overflow the single precision digit -$t_{ix+iy}$ and the result would be lost. +5.4.1 is propagated through the nested loop. If the carry was not propagated immediately it would overflow the single precision digit +$t_{ix+iy}$ and the result would be lost. At step 5.5 the nested loop is finished and any carry that was left over should be forwarded. The carry does not have to be added to the $ix+pb$'th digit since that digit is assumed to be zero at this point. However, if $ix + pb \ge digs$ the carry is not set as it would make the result @@ -2604,55 +3632,126 @@ exceed the precision requested. \hspace{-5.1mm}{\bf File}: bn\_s\_mp\_mul\_digs.c \vspace{-3mm} \begin{alltt} +016 +017 /* multiplies |a| * |b| and only computes upto digs digits of result +018 * HAC pp. 595, Algorithm 14.12 Modified so you can control how +019 * many digits of output are created. +020 */ +021 int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) +022 \{ +023 mp_int t; +024 int res, pa, pb, ix, iy; +025 mp_digit u; +026 mp_word r; +027 mp_digit tmpx, *tmpt, *tmpy; +028 +029 /* can we use the fast multiplier? */ +030 if (((digs) < MP_WARRAY) && +031 (MIN (a->used, b->used) < +032 (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) \{ +033 return fast_s_mp_mul_digs (a, b, c, digs); +034 \} +035 +036 if ((res = mp_init_size (&t, digs)) != MP_OKAY) \{ +037 return res; +038 \} +039 t.used = digs; +040 +041 /* compute the digits of the product directly */ +042 pa = a->used; +043 for (ix = 0; ix < pa; ix++) \{ +044 /* set the carry to zero */ +045 u = 0; +046 +047 /* limit ourselves to making digs digits of output */ +048 pb = MIN (b->used, digs - ix); +049 +050 /* setup some aliases */ +051 /* copy of the digit from a used within the nested loop */ +052 tmpx = a->dp[ix]; +053 +054 /* an alias for the destination shifted ix places */ +055 tmpt = t.dp + ix; +056 +057 /* an alias for the digits of b */ +058 tmpy = b->dp; +059 +060 /* compute the columns of the output and propagate the carry */ +061 for (iy = 0; iy < pb; iy++) \{ +062 /* compute the column as a mp_word */ +063 r = (mp_word)*tmpt + +064 ((mp_word)tmpx * (mp_word)*tmpy++) + +065 (mp_word)u; +066 +067 /* the new column is the lower part of the result */ +068 *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); +069 +070 /* get the carry word from the result */ +071 u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); +072 \} +073 /* set carry if it is placed below digs */ +074 if ((ix + iy) < digs) \{ +075 *tmpt = u; +076 \} +077 \} +078 +079 mp_clamp (&t); +080 mp_exch (&t, c); +081 +082 mp_clear (&t); +083 return MP_OKAY; +084 \} +085 #endif +086 \end{alltt} \end{small} -First we determine (line 31) if the Comba method can be used first since it's faster. The conditions for -sing the Comba routine are that min$(a.used, b.used) < \delta$ and the number of digits of output is less than -\textbf{MP\_WARRAY}. This new constant is used to control the stack usage in the Comba routines. By default it is +First we determine (line 30) if the Comba method can be used first since it's faster. The conditions for +sing the Comba routine are that min$(a.used, b.used) < \delta$ and the number of digits of output is less than +\textbf{MP\_WARRAY}. This new constant is used to control the stack usage in the Comba routines. By default it is set to $\delta$ but can be reduced when memory is at a premium. If we cannot use the Comba method we proceed to setup the baseline routine. We allocate the the destination mp\_int -$t$ (line 37) to the exact size of the output to avoid further re--allocations. At this point we now +$t$ (line 36) to the exact size of the output to avoid further re--allocations. At this point we now begin the $O(n^2)$ loop. This implementation of multiplication has the caveat that it can be trimmed to only produce a variable number of -digits as output. In each iteration of the outer loop the $pb$ variable is set (line 49) to the maximum -number of inner loop iterations. +digits as output. In each iteration of the outer loop the $pb$ variable is set (line 48) to the maximum +number of inner loop iterations. Inside the inner loop we calculate $\hat r$ as the mp\_word product of the two mp\_digits and the addition of the -carry from the previous iteration. A particularly important observation is that most modern optimizing -C compilers (GCC for instance) can recognize that a $N \times N \rightarrow 2N$ multiplication is all that +carry from the previous iteration. A particularly important observation is that most modern optimizing +C compilers (GCC for instance) can recognize that a $N \times N \rightarrow 2N$ multiplication is all that is required for the product. In x86 terms for example, this means using the MUL instruction. -Each digit of the product is stored in turn (line 69) and the carry propagated (line 72) to the +Each digit of the product is stored in turn (line 68) and the carry propagated (line 71) to the next iteration. \subsection{Faster Multiplication by the ``Comba'' Method} -One of the huge drawbacks of the ``baseline'' algorithms is that at the $O(n^2)$ level the carry must be -computed and propagated upwards. This makes the nested loop very sequential and hard to unroll and implement -in parallel. The ``Comba'' \cite{COMBA} method is named after little known (\textit{in cryptographic venues}) Paul G. -Comba who described a method of implementing fast multipliers that do not require nested carry fixup operations. As an -interesting aside it seems that Paul Barrett describes a similar technique in his 1986 paper \cite{BARRETT} written +One of the huge drawbacks of the ``baseline'' algorithms is that at the $O(n^2)$ level the carry must be +computed and propagated upwards. This makes the nested loop very sequential and hard to unroll and implement +in parallel. The ``Comba'' \cite{COMBA} method is named after little known (\textit{in cryptographic venues}) Paul G. +Comba who described a method of implementing fast multipliers that do not require nested carry fixup operations. As an +interesting aside it seems that Paul Barrett describes a similar technique in his 1986 paper \cite{BARRETT} written five years before. -At the heart of the Comba technique is once again the long-hand algorithm. Except in this case a slight -twist is placed on how the columns of the result are produced. In the standard long-hand algorithm rows of products -are produced then added together to form the final result. In the baseline algorithm the columns are added together -after each iteration to get the result instantaneously. +At the heart of the Comba technique is once again the long-hand algorithm. Except in this case a slight +twist is placed on how the columns of the result are produced. In the standard long-hand algorithm rows of products +are produced then added together to form the final result. In the baseline algorithm the columns are added together +after each iteration to get the result instantaneously. -In the Comba algorithm the columns of the result are produced entirely independently of each other. That is at -the $O(n^2)$ level a simple multiplication and addition step is performed. The carries of the columns are propagated -after the nested loop to reduce the amount of work requiored. Succintly the first step of the algorithm is to compute -the product vector $\vec x$ as follows. +In the Comba algorithm the columns of the result are produced entirely independently of each other. That is at +the $O(n^2)$ level a simple multiplication and addition step is performed. The carries of the columns are propagated +after the nested loop to reduce the amount of work requiored. Succintly the first step of the algorithm is to compute +the product vector $\vec x$ as follows. \begin{equation} \vec x_n = \sum_{i+j = n} a_ib_j, \forall n \in \lbrace 0, 1, 2, \ldots, i + j \rbrace \end{equation} Where $\vec x_n$ is the $n'th$ column of the output vector. Consider the following example which computes the vector $\vec x$ for the multiplication -of $576$ and $241$. +of $576$ and $241$. \newpage\begin{figure}[here] \begin{small} @@ -2663,15 +3762,15 @@ of $576$ and $241$. \hline & & $1 \cdot 5 = 5$ & $1 \cdot 7 = 7$ & $1 \cdot 6 = 6$ & First pass \\ & $4 \cdot 5 = 20$ & $4 \cdot 7+5=33$ & $4 \cdot 6+7=31$ & 6 & Second pass \\ $2 \cdot 5 = 10$ & $2 \cdot 7 + 20 = 34$ & $2 \cdot 6+33=45$ & 31 & 6 & Third pass \\ -\hline 10 & 34 & 45 & 31 & 6 & Final Result \\ -\hline +\hline 10 & 34 & 45 & 31 & 6 & Final Result \\ +\hline \end{tabular} \end{center} \end{small} \caption{Comba Multiplication Diagram} \end{figure} -At this point the vector $x = \left < 10, 34, 45, 31, 6 \right >$ is the result of the first step of the Comba multipler. +At this point the vector $x = \left < 10, 34, 45, 31, 6 \right >$ is the result of the first step of the Comba multipler. Now the columns must be fixed by propagating the carry upwards. The resultant vector will have one extra dimension over the input vector which is congruent to adding a leading zero digit. @@ -2694,16 +3793,16 @@ congruent to adding a leading zero digit. \caption{Algorithm Comba Fixup} \end{figure} -With that algorithm and $k = 5$ and $\beta = 10$ the following vector is produced $\vec x= \left < 1, 3, 8, 8, 1, 6 \right >$. In this case +With that algorithm and $k = 5$ and $\beta = 10$ the following vector is produced $\vec x= \left < 1, 3, 8, 8, 1, 6 \right >$. In this case $241 \cdot 576$ is in fact $138816$ and the procedure succeeded. If the algorithm is correct and as will be demonstrated shortly more efficient than the baseline algorithm why not simply always use this algorithm? \subsubsection{Column Weight.} -At the nested $O(n^2)$ level the Comba method adds the product of two single precision variables to each column of the output +At the nested $O(n^2)$ level the Comba method adds the product of two single precision variables to each column of the output independently. A serious obstacle is if the carry is lost, due to lack of precision before the algorithm has a chance to fix the carries. For example, in the multiplication of two three-digit numbers the third column of output will be the sum of three single precision multiplications. If the precision of the accumulator for the output digits is less then $3 \cdot (\beta - 1)^2$ then -an overflow can occur and the carry information will be lost. For any $m$ and $n$ digit inputs the maximum weight of any column is +an overflow can occur and the carry information will be lost. For any $m$ and $n$ digit inputs the maximum weight of any column is min$(m, n)$ which is fairly obvious. The maximum number of terms in any column of a product is known as the ``column weight'' and strictly governs when the algorithm can be used. Recall @@ -2714,7 +3813,7 @@ two quantities we must not violate the following k \cdot \left (\beta - 1 \right )^2 < 2^{\alpha} \end{equation} -Which reduces to +Which reduces to \begin{equation} k \cdot \left ( \beta^2 - 2\beta + 1 \right ) < 2^{\alpha} @@ -2727,9 +3826,9 @@ found. k < {{2^{\alpha}} \over {\left (2^{2\rho} - 2^{\rho + 1} + 1 \right )}} \end{equation} -The defaults for LibTomMath are $\beta = 2^{28}$ and $\alpha = 2^{64}$ which means that $k$ is bounded by $k < 257$. In this configuration -the smaller input may not have more than $256$ digits if the Comba method is to be used. This is quite satisfactory for most applications since -$256$ digits would allow for numbers in the range of $0 \le x < 2^{7168}$ which, is much larger than most public key cryptographic algorithms require. +The defaults for LibTomMath are $\beta = 2^{28}$ and $\alpha = 2^{64}$ which means that $k$ is bounded by $k < 257$. In this configuration +the smaller input may not have more than $256$ digits if the Comba method is to be used. This is quite satisfactory for most applications since +$256$ digits would allow for numbers in the range of $0 \le x < 2^{7168}$ which, is much larger than most public key cryptographic algorithms require. \newpage\begin{figure}[!here] \begin{small} @@ -2775,79 +3874,167 @@ Place an array of \textbf{MP\_WARRAY} single precision digits named $W$ on the s \textbf{Algorithm fast\_s\_mp\_mul\_digs.} This algorithm performs the unsigned multiplication of $a$ and $b$ using the Comba method limited to $digs$ digits of precision. -The outer loop of this algorithm is more complicated than that of the baseline multiplier. This is because on the inside of the +The outer loop of this algorithm is more complicated than that of the baseline multiplier. This is because on the inside of the loop we want to produce one column per pass. This allows the accumulator $\_ \hat W$ to be placed in CPU registers and reduce the memory bandwidth to two \textbf{mp\_digit} reads per iteration. The $ty$ variable is set to the minimum count of $ix$ or the number of digits in $b$. That way if $a$ has more digits than $b$ this will be limited to $b.used - 1$. The $tx$ variable is set to the to the distance past $b.used$ the variable -$ix$ is. This is used for the immediately subsequent statement where we find $iy$. +$ix$ is. This is used for the immediately subsequent statement where we find $iy$. The variable $iy$ is the minimum digits we can read from either $a$ or $b$ before running out. Computing one column at a time means we have to scan one integer upwards and the other downwards. $a$ starts at $tx$ and $b$ starts at $ty$. In each -pass we are producing the $ix$'th output column and we note that $tx + ty = ix$. As we move $tx$ upwards we have to -move $ty$ downards so the equality remains valid. The $iy$ variable is the number of iterations until +pass we are producing the $ix$'th output column and we note that $tx + ty = ix$. As we move $tx$ upwards we have to +move $ty$ downards so the equality remains valid. The $iy$ variable is the number of iterations until $tx \ge a.used$ or $ty < 0$ occurs. After every inner pass we store the lower half of the accumulator into $W_{ix}$ and then propagate the carry of the accumulator into the next round by dividing $\_ \hat W$ by $\beta$. -To measure the benefits of the Comba method over the baseline method consider the number of operations that are required. If the -cost in terms of time of a multiply and addition is $p$ and the cost of a carry propagation is $q$ then a baseline multiplication would require -$O \left ((p + q)n^2 \right )$ time to multiply two $n$-digit numbers. The Comba method requires only $O(pn^2 + qn)$ time, however in practice, +To measure the benefits of the Comba method over the baseline method consider the number of operations that are required. If the +cost in terms of time of a multiply and addition is $p$ and the cost of a carry propagation is $q$ then a baseline multiplication would require +$O \left ((p + q)n^2 \right )$ time to multiply two $n$-digit numbers. The Comba method requires only $O(pn^2 + qn)$ time, however in practice, the speed increase is actually much more. With $O(n)$ space the algorithm can be reduced to $O(pn + qn)$ time by implementing the $n$ multiply -and addition operations in the nested loop in parallel. +and addition operations in the nested loop in parallel. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_fast\_s\_mp\_mul\_digs.c \vspace{-3mm} \begin{alltt} +016 +017 /* Fast (comba) multiplier +018 * +019 * This is the fast column-array [comba] multiplier. It is +020 * designed to compute the columns of the product first +021 * then handle the carries afterwards. This has the effect +022 * of making the nested loops that compute the columns very +023 * simple and schedulable on super-scalar processors. +024 * +025 * This has been modified to produce a variable number of +026 * digits of output so if say only a half-product is required +027 * you don't have to compute the upper half (a feature +028 * required for fast Barrett reduction). +029 * +030 * Based on Algorithm 14.12 on pp.595 of HAC. +031 * +032 */ +033 int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) +034 \{ +035 int olduse, res, pa, ix, iz; +036 mp_digit W[MP_WARRAY]; +037 mp_word _W; +038 +039 /* grow the destination as required */ +040 if (c->alloc < digs) \{ +041 if ((res = mp_grow (c, digs)) != MP_OKAY) \{ +042 return res; +043 \} +044 \} +045 +046 /* number of output digits to produce */ +047 pa = MIN(digs, a->used + b->used); +048 +049 /* clear the carry */ +050 _W = 0; +051 for (ix = 0; ix < pa; ix++) \{ +052 int tx, ty; +053 int iy; +054 mp_digit *tmpx, *tmpy; +055 +056 /* get offsets into the two bignums */ +057 ty = MIN(b->used-1, ix); +058 tx = ix - ty; +059 +060 /* setup temp aliases */ +061 tmpx = a->dp + tx; +062 tmpy = b->dp + ty; +063 +064 /* this is the number of times the loop will iterrate, essentially +065 while (tx++ < a->used && ty-- >= 0) \{ ... \} +066 */ +067 iy = MIN(a->used-tx, ty+1); +068 +069 /* execute loop */ +070 for (iz = 0; iz < iy; ++iz) \{ +071 _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--); +072 +073 \} +074 +075 /* store term */ +076 W[ix] = ((mp_digit)_W) & MP_MASK; +077 +078 /* make next carry */ +079 _W = _W >> ((mp_word)DIGIT_BIT); +080 \} +081 +082 /* setup dest */ +083 olduse = c->used; +084 c->used = pa; +085 +086 \{ +087 mp_digit *tmpc; +088 tmpc = c->dp; +089 for (ix = 0; ix < (pa + 1); ix++) \{ +090 /* now extract the previous digit [below the carry] */ +091 *tmpc++ = W[ix]; +092 \} +093 +094 /* clear unused digits [that existed in the old copy of c] */ +095 for (; ix < olduse; ix++) \{ +096 *tmpc++ = 0; +097 \} +098 \} +099 mp_clamp (c); +100 return MP_OKAY; +101 \} +102 #endif +103 \end{alltt} \end{small} -As per the pseudo--code we first calculate $pa$ (line 48) as the number of digits to output. Next we begin the outer loop -to produce the individual columns of the product. We use the two aliases $tmpx$ and $tmpy$ (lines 62, 63) to point -inside the two multiplicands quickly. +As per the pseudo--code we first calculate $pa$ (line 47) as the number of digits to output. Next we begin the outer loop +to produce the individual columns of the product. We use the two aliases $tmpx$ and $tmpy$ (lines 61, 62) to point +inside the two multiplicands quickly. -The inner loop (lines 71 to 74) of this implementation is where the tradeoff come into play. Originally this comba -implementation was ``row--major'' which means it adds to each of the columns in each pass. After the outer loop it would then fix -the carries. This was very fast except it had an annoying drawback. You had to read a mp\_word and two mp\_digits and write -one mp\_word per iteration. On processors such as the Athlon XP and P4 this did not matter much since the cache bandwidth -is very high and it can keep the ALU fed with data. It did, however, matter on older and embedded cpus where cache is often -slower and also often doesn't exist. This new algorithm only performs two reads per iteration under the assumption that the +The inner loop (lines 70 to 73) of this implementation is where the tradeoff come into play. Originally this comba +implementation was ``row--major'' which means it adds to each of the columns in each pass. After the outer loop it would then fix +the carries. This was very fast except it had an annoying drawback. You had to read a mp\_word and two mp\_digits and write +one mp\_word per iteration. On processors such as the Athlon XP and P4 this did not matter much since the cache bandwidth +is very high and it can keep the ALU fed with data. It did, however, matter on older and embedded cpus where cache is often +slower and also often doesn't exist. This new algorithm only performs two reads per iteration under the assumption that the compiler has aliased $\_ \hat W$ to a CPU register. -After the inner loop we store the current accumulator in $W$ and shift $\_ \hat W$ (lines 77, 80) to forward it as -a carry for the next pass. After the outer loop we use the final carry (line 77) as the last digit of the product. +After the inner loop we store the current accumulator in $W$ and shift $\_ \hat W$ (lines 76, 79) to forward it as +a carry for the next pass. After the outer loop we use the final carry (line 76) as the last digit of the product. \subsection{Polynomial Basis Multiplication} To break the $O(n^2)$ barrier in multiplication requires a completely different look at integer multiplication. In the following algorithms -the use of polynomial basis representation for two integers $a$ and $b$ as $f(x) = \sum_{i=0}^{n} a_i x^i$ and +the use of polynomial basis representation for two integers $a$ and $b$ as $f(x) = \sum_{i=0}^{n} a_i x^i$ and $g(x) = \sum_{i=0}^{n} b_i x^i$ respectively, is required. In this system both $f(x)$ and $g(x)$ have $n + 1$ terms and are of the $n$'th degree. - + The product $a \cdot b \equiv f(x)g(x)$ is the polynomial $W(x) = \sum_{i=0}^{2n} w_i x^i$. The coefficients $w_i$ will directly yield the desired product when $\beta$ is substituted for $x$. The direct solution to solve for the $2n + 1$ coefficients requires $O(n^2)$ time and would in practice be slower than the Comba technique. -However, numerical analysis theory indicates that only $2n + 1$ distinct points in $W(x)$ are required to determine the values of the $2n + 1$ unknown -coefficients. This means by finding $\zeta_y = W(y)$ for $2n + 1$ small values of $y$ the coefficients of $W(x)$ can be found with -Gaussian elimination. This technique is also occasionally refered to as the \textit{interpolation technique} (\textit{references please...}) since in -effect an interpolation based on $2n + 1$ points will yield a polynomial equivalent to $W(x)$. +However, numerical analysis theory indicates that only $2n + 1$ distinct points in $W(x)$ are required to determine the values of the $2n + 1$ unknown +coefficients. This means by finding $\zeta_y = W(y)$ for $2n + 1$ small values of $y$ the coefficients of $W(x)$ can be found with +Gaussian elimination. This technique is also occasionally refered to as the \textit{interpolation technique} (\textit{references please...}) since in +effect an interpolation based on $2n + 1$ points will yield a polynomial equivalent to $W(x)$. -The coefficients of the polynomial $W(x)$ are unknown which makes finding $W(y)$ for any value of $y$ impossible. However, since -$W(x) = f(x)g(x)$ the equivalent $\zeta_y = f(y) g(y)$ can be used in its place. The benefit of this technique stems from the -fact that $f(y)$ and $g(y)$ are much smaller than either $a$ or $b$ respectively. As a result finding the $2n + 1$ relations required +The coefficients of the polynomial $W(x)$ are unknown which makes finding $W(y)$ for any value of $y$ impossible. However, since +$W(x) = f(x)g(x)$ the equivalent $\zeta_y = f(y) g(y)$ can be used in its place. The benefit of this technique stems from the +fact that $f(y)$ and $g(y)$ are much smaller than either $a$ or $b$ respectively. As a result finding the $2n + 1$ relations required by multiplying $f(y)g(y)$ involves multiplying integers that are much smaller than either of the inputs. When picking points to gather relations there are always three obvious points to choose, $y = 0, 1$ and $ \infty$. The $\zeta_0$ term -is simply the product $W(0) = w_0 = a_0 \cdot b_0$. The $\zeta_1$ term is the product +is simply the product $W(0) = w_0 = a_0 \cdot b_0$. The $\zeta_1$ term is the product $W(1) = \left (\sum_{i = 0}^{n} a_i \right ) \left (\sum_{i = 0}^{n} b_i \right )$. The third point $\zeta_{\infty}$ is less obvious but rather -simple to explain. The $2n + 1$'th coefficient of $W(x)$ is numerically equivalent to the most significant column in an integer multiplication. -The point at $\infty$ is used symbolically to represent the most significant column, that is $W(\infty) = w_{2n} = a_nb_n$. Note that the +simple to explain. The $2n + 1$'th coefficient of $W(x)$ is numerically equivalent to the most significant column in an integer multiplication. +The point at $\infty$ is used symbolically to represent the most significant column, that is $W(\infty) = w_{2n} = a_nb_n$. Note that the points at $y = 0$ and $\infty$ yield the coefficients $w_0$ and $w_{2n}$ directly. -If more points are required they should be of small values and powers of two such as $2^q$ and the related \textit{mirror points} -$\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ for small values of $q$. The term ``mirror point'' stems from the fact that +If more points are required they should be of small values and powers of two such as $2^q$ and the related \textit{mirror points} +$\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ for small values of $q$. The term ``mirror point'' stems from the fact that $\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ can be calculated in the exact opposite fashion as $\zeta_{2^q}$. For example, when $n = 2$ and $q = 1$ then following two equations are equivalent to the point $\zeta_{2}$ and its mirror. @@ -2857,10 +4044,10 @@ example, when $n = 2$ and $q = 1$ then following two equations are equivalent to \end{eqnarray} Using such points will allow the values of $f(y)$ and $g(y)$ to be independently calculated using only left shifts. For example, when $n = 2$ the -polynomial $f(2^q)$ is equal to $2^q((2^qa_2) + a_1) + a_0$. This technique of polynomial representation is known as Horner's method. +polynomial $f(2^q)$ is equal to $2^q((2^qa_2) + a_1) + a_0$. This technique of polynomial representation is known as Horner's method. -As a general rule of the algorithm when the inputs are split into $n$ parts each there are $2n - 1$ multiplications. Each multiplication is of -multiplicands that have $n$ times fewer digits than the inputs. The asymptotic running time of this algorithm is +As a general rule of the algorithm when the inputs are split into $n$ parts each there are $2n - 1$ multiplications. Each multiplication is of +multiplicands that have $n$ times fewer digits than the inputs. The asymptotic running time of this algorithm is $O \left ( k^{lg_n(2n - 1)} \right )$ for $k$ digit inputs (\textit{assuming they have the same number of digits}). Figure~\ref{fig:exponent} summarizes the exponents for various values of $n$. @@ -2885,23 +4072,23 @@ summarizes the exponents for various values of $n$. At first it may seem like a good idea to choose $n = 1000$ since the exponent is approximately $1.1$. However, the overhead of solving for the 2001 terms of $W(x)$ will certainly consume any savings the algorithm could offer for all but exceedingly large -numbers. +numbers. \subsubsection{Cutoff Point} -The polynomial basis multiplication algorithms all require fewer single precision multiplications than a straight Comba approach. However, +The polynomial basis multiplication algorithms all require fewer single precision multiplications than a straight Comba approach. However, the algorithms incur an overhead (\textit{at the $O(n)$ work level}) since they require a system of equations to be solved. This makes the polynomial basis approach more costly to use with small inputs. -Let $m$ represent the number of digits in the multiplicands (\textit{assume both multiplicands have the same number of digits}). There exists a -point $y$ such that when $m < y$ the polynomial basis algorithms are more costly than Comba, when $m = y$ they are roughly the same cost and -when $m > y$ the Comba methods are slower than the polynomial basis algorithms. +Let $m$ represent the number of digits in the multiplicands (\textit{assume both multiplicands have the same number of digits}). There exists a +point $y$ such that when $m < y$ the polynomial basis algorithms are more costly than Comba, when $m = y$ they are roughly the same cost and +when $m > y$ the Comba methods are slower than the polynomial basis algorithms. The exact location of $y$ depends on several key architectural elements of the computer platform in question. \begin{enumerate} \item The ratio of clock cycles for single precision multiplication versus other simpler operations such as addition, shifting, etc. For example on the AMD Athlon the ratio is roughly $17 : 1$ while on the Intel P4 it is $29 : 1$. The higher the ratio in favour of multiplication the lower -the cutoff point $y$ will be. +the cutoff point $y$ will be. \item The complexity of the linear system of equations (\textit{for the coefficients of $W(x)$}) is. Generally speaking as the number of splits grows the complexity grows substantially. Ideally solving the system will only involve addition, subtraction and shifting of integers. This @@ -2914,11 +4101,11 @@ influence over the cutoff point. A clean cutoff point separation occurs when a point $y$ is found such that all of the cutoff point conditions are met. For example, if the point is too low then there will be values of $m$ such that $m > y$ and the Comba method is still faster. Finding the cutoff points is fairly simple when -a high resolution timer is available. +a high resolution timer is available. \subsection{Karatsuba Multiplication} Karatsuba \cite{KARA} multiplication when originally proposed in 1962 was among the first set of algorithms to break the $O(n^2)$ barrier for -general purpose multiplication. Given two polynomial basis representations $f(x) = ax + b$ and $g(x) = cx + d$, Karatsuba proved with +general purpose multiplication. Given two polynomial basis representations $f(x) = ax + b$ and $g(x) = cx + d$, Karatsuba proved with light algebra \cite{KARAP} that the following polynomial is equivalent to multiplication of the two integers the polynomials represent. \begin{equation} @@ -2926,8 +4113,8 @@ f(x) \cdot g(x) = acx^2 + ((a + b)(c + d) - (ac + bd))x + bd \end{equation} Using the observation that $ac$ and $bd$ could be re-used only three half sized multiplications would be required to produce the product. Applying -this algorithm recursively, the work factor becomes $O(n^{lg(3)})$ which is substantially better than the work factor $O(n^2)$ of the Comba technique. It turns -out what Karatsuba did not know or at least did not publish was that this is simply polynomial basis multiplication with the points +this algorithm recursively, the work factor becomes $O(n^{lg(3)})$ which is substantially better than the work factor $O(n^2)$ of the Comba technique. It turns +out what Karatsuba did not know or at least did not publish was that this is simply polynomial basis multiplication with the points $\zeta_0$, $\zeta_{\infty}$ and $\zeta_{1}$. Consider the resultant system of equations. \begin{center} @@ -2940,7 +4127,7 @@ $\zeta_{\infty}$ & $=$ & $w_2$ & & & & \\ By adding the first and last equation to the equation in the middle the term $w_1$ can be isolated and all three coefficients solved for. The simplicity of this system of equations has made Karatsuba fairly popular. In fact the cutoff point is often fairly low\footnote{With LibTomMath 0.18 it is 70 and 109 digits for the Intel P4 and AMD Athlon respectively.} -making it an ideal algorithm to speed up certain public key cryptosystems such as RSA and Diffie-Hellman. +making it an ideal algorithm to speed up certain public key cryptosystems such as RSA and Diffie-Hellman. \newpage\begin{figure}[!here] \begin{small} @@ -2978,7 +4165,7 @@ Calculate the final product. \\ 18. $c \leftarrow t1 + x1y1$ \\ 19. Clear all of the temporary variables. \\ 20. Return(\textit{MP\_OKAY}).\\ -\hline +\hline \end{tabular} \end{center} \end{small} @@ -2987,13 +4174,13 @@ Calculate the final product. \\ \textbf{Algorithm mp\_karatsuba\_mul.} This algorithm computes the unsigned product of two inputs using the Karatsuba multiplication algorithm. It is loosely based on the description -from Knuth \cite[pp. 294-295]{TAOCPV2}. +from Knuth \cite[pp. 294-295]{TAOCPV2}. \index{radix point} In order to split the two inputs into their respective halves, a suitable \textit{radix point} must be chosen. The radix point chosen must -be used for both of the inputs meaning that it must be smaller than the smallest input. Step 3 chooses the radix point $B$ as half of the -smallest input \textbf{used} count. After the radix point is chosen the inputs are split into lower and upper halves. Step 4 and 5 -compute the lower halves. Step 6 and 7 computer the upper halves. +be used for both of the inputs meaning that it must be smaller than the smallest input. Step 3 chooses the radix point $B$ as half of the +smallest input \textbf{used} count. After the radix point is chosen the inputs are split into lower and upper halves. Step 4 and 5 +compute the lower halves. Step 6 and 7 computer the upper halves. After the halves have been computed the three intermediate half-size products must be computed. Step 8 and 9 compute the trivial products $x0 \cdot y0$ and $x1 \cdot y1$. The mp\_int $x0$ is used as a temporary variable after $x1 + x0$ has been computed. By using $x0$ instead @@ -3005,34 +4192,182 @@ The remaining steps 13 through 18 compute the Karatsuba polynomial through a var \hspace{-5.1mm}{\bf File}: bn\_mp\_karatsuba\_mul.c \vspace{-3mm} \begin{alltt} +016 +017 /* c = |a| * |b| using Karatsuba Multiplication using +018 * three half size multiplications +019 * +020 * Let B represent the radix [e.g. 2**DIGIT_BIT] and +021 * let n represent half of the number of digits in +022 * the min(a,b) +023 * +024 * a = a1 * B**n + a0 +025 * b = b1 * B**n + b0 +026 * +027 * Then, a * b => +028 a1b1 * B**2n + ((a1 + a0)(b1 + b0) - (a0b0 + a1b1)) * B + a0b0 +029 * +030 * Note that a1b1 and a0b0 are used twice and only need to be +031 * computed once. So in total three half size (half # of +032 * digit) multiplications are performed, a0b0, a1b1 and +033 * (a1+b1)(a0+b0) +034 * +035 * Note that a multiplication of half the digits requires +036 * 1/4th the number of single precision multiplications so in +037 * total after one call 25% of the single precision multiplications +038 * are saved. Note also that the call to mp_mul can end up back +039 * in this function if the a0, a1, b0, or b1 are above the threshold. +040 * This is known as divide-and-conquer and leads to the famous +041 * O(N**lg(3)) or O(N**1.584) work which is asymptopically lower than +042 * the standard O(N**2) that the baseline/comba methods use. +043 * Generally though the overhead of this method doesn't pay off +044 * until a certain size (N ~ 80) is reached. +045 */ +046 int mp_karatsuba_mul (mp_int * a, mp_int * b, mp_int * c) +047 \{ +048 mp_int x0, x1, y0, y1, t1, x0y0, x1y1; +049 int B, err; +050 +051 /* default the return code to an error */ +052 err = MP_MEM; +053 +054 /* min # of digits */ +055 B = MIN (a->used, b->used); +056 +057 /* now divide in two */ +058 B = B >> 1; +059 +060 /* init copy all the temps */ +061 if (mp_init_size (&x0, B) != MP_OKAY) +062 goto ERR; +063 if (mp_init_size (&x1, a->used - B) != MP_OKAY) +064 goto X0; +065 if (mp_init_size (&y0, B) != MP_OKAY) +066 goto X1; +067 if (mp_init_size (&y1, b->used - B) != MP_OKAY) +068 goto Y0; +069 +070 /* init temps */ +071 if (mp_init_size (&t1, B * 2) != MP_OKAY) +072 goto Y1; +073 if (mp_init_size (&x0y0, B * 2) != MP_OKAY) +074 goto T1; +075 if (mp_init_size (&x1y1, B * 2) != MP_OKAY) +076 goto X0Y0; +077 +078 /* now shift the digits */ +079 x0.used = y0.used = B; +080 x1.used = a->used - B; +081 y1.used = b->used - B; +082 +083 \{ +084 int x; +085 mp_digit *tmpa, *tmpb, *tmpx, *tmpy; +086 +087 /* we copy the digits directly instead of using higher level functions +088 * since we also need to shift the digits +089 */ +090 tmpa = a->dp; +091 tmpb = b->dp; +092 +093 tmpx = x0.dp; +094 tmpy = y0.dp; +095 for (x = 0; x < B; x++) \{ +096 *tmpx++ = *tmpa++; +097 *tmpy++ = *tmpb++; +098 \} +099 +100 tmpx = x1.dp; +101 for (x = B; x < a->used; x++) \{ +102 *tmpx++ = *tmpa++; +103 \} +104 +105 tmpy = y1.dp; +106 for (x = B; x < b->used; x++) \{ +107 *tmpy++ = *tmpb++; +108 \} +109 \} +110 +111 /* only need to clamp the lower words since by definition the +112 * upper words x1/y1 must have a known number of digits +113 */ +114 mp_clamp (&x0); +115 mp_clamp (&y0); +116 +117 /* now calc the products x0y0 and x1y1 */ +118 /* after this x0 is no longer required, free temp [x0==t2]! */ +119 if (mp_mul (&x0, &y0, &x0y0) != MP_OKAY) +120 goto X1Y1; /* x0y0 = x0*y0 */ +121 if (mp_mul (&x1, &y1, &x1y1) != MP_OKAY) +122 goto X1Y1; /* x1y1 = x1*y1 */ +123 +124 /* now calc x1+x0 and y1+y0 */ +125 if (s_mp_add (&x1, &x0, &t1) != MP_OKAY) +126 goto X1Y1; /* t1 = x1 - x0 */ +127 if (s_mp_add (&y1, &y0, &x0) != MP_OKAY) +128 goto X1Y1; /* t2 = y1 - y0 */ +129 if (mp_mul (&t1, &x0, &t1) != MP_OKAY) +130 goto X1Y1; /* t1 = (x1 + x0) * (y1 + y0) */ +131 +132 /* add x0y0 */ +133 if (mp_add (&x0y0, &x1y1, &x0) != MP_OKAY) +134 goto X1Y1; /* t2 = x0y0 + x1y1 */ +135 if (s_mp_sub (&t1, &x0, &t1) != MP_OKAY) +136 goto X1Y1; /* t1 = (x1+x0)*(y1+y0) - (x1y1 + x0y0) */ +137 +138 /* shift by B */ +139 if (mp_lshd (&t1, B) != MP_OKAY) +140 goto X1Y1; /* t1 = (x0y0 + x1y1 - (x1-x0)*(y1-y0))<used, b->used) / 3; +038 +039 /* a = a2 * B**2 + a1 * B + a0 */ +040 if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) \{ +041 goto ERR; +042 \} +043 +044 if ((res = mp_copy(a, &a1)) != MP_OKAY) \{ +045 goto ERR; +046 \} +047 mp_rshd(&a1, B); +048 if ((res = mp_mod_2d(&a1, DIGIT_BIT * B, &a1)) != MP_OKAY) \{ +049 goto ERR; +050 \} +051 +052 if ((res = mp_copy(a, &a2)) != MP_OKAY) \{ +053 goto ERR; +054 \} +055 mp_rshd(&a2, B*2); +056 +057 /* b = b2 * B**2 + b1 * B + b0 */ +058 if ((res = mp_mod_2d(b, DIGIT_BIT * B, &b0)) != MP_OKAY) \{ +059 goto ERR; +060 \} +061 +062 if ((res = mp_copy(b, &b1)) != MP_OKAY) \{ +063 goto ERR; +064 \} +065 mp_rshd(&b1, B); +066 (void)mp_mod_2d(&b1, DIGIT_BIT * B, &b1); +067 +068 if ((res = mp_copy(b, &b2)) != MP_OKAY) \{ +069 goto ERR; +070 \} +071 mp_rshd(&b2, B*2); +072 +073 /* w0 = a0*b0 */ +074 if ((res = mp_mul(&a0, &b0, &w0)) != MP_OKAY) \{ +075 goto ERR; +076 \} +077 +078 /* w4 = a2 * b2 */ +079 if ((res = mp_mul(&a2, &b2, &w4)) != MP_OKAY) \{ +080 goto ERR; +081 \} +082 +083 /* w1 = (a2 + 2(a1 + 2a0))(b2 + 2(b1 + 2b0)) */ +084 if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) \{ +085 goto ERR; +086 \} +087 if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) \{ +088 goto ERR; +089 \} +090 if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) \{ +091 goto ERR; +092 \} +093 if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) \{ +094 goto ERR; +095 \} +096 +097 if ((res = mp_mul_2(&b0, &tmp2)) != MP_OKAY) \{ +098 goto ERR; +099 \} +100 if ((res = mp_add(&tmp2, &b1, &tmp2)) != MP_OKAY) \{ +101 goto ERR; +102 \} +103 if ((res = mp_mul_2(&tmp2, &tmp2)) != MP_OKAY) \{ +104 goto ERR; +105 \} +106 if ((res = mp_add(&tmp2, &b2, &tmp2)) != MP_OKAY) \{ +107 goto ERR; +108 \} +109 +110 if ((res = mp_mul(&tmp1, &tmp2, &w1)) != MP_OKAY) \{ +111 goto ERR; +112 \} +113 +114 /* w3 = (a0 + 2(a1 + 2a2))(b0 + 2(b1 + 2b2)) */ +115 if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) \{ +116 goto ERR; +117 \} +118 if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) \{ +119 goto ERR; +120 \} +121 if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) \{ +122 goto ERR; +123 \} +124 if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) \{ +125 goto ERR; +126 \} +127 +128 if ((res = mp_mul_2(&b2, &tmp2)) != MP_OKAY) \{ +129 goto ERR; +130 \} +131 if ((res = mp_add(&tmp2, &b1, &tmp2)) != MP_OKAY) \{ +132 goto ERR; +133 \} +134 if ((res = mp_mul_2(&tmp2, &tmp2)) != MP_OKAY) \{ +135 goto ERR; +136 \} +137 if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) \{ +138 goto ERR; +139 \} +140 +141 if ((res = mp_mul(&tmp1, &tmp2, &w3)) != MP_OKAY) \{ +142 goto ERR; +143 \} +144 +145 +146 /* w2 = (a2 + a1 + a0)(b2 + b1 + b0) */ +147 if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) \{ +148 goto ERR; +149 \} +150 if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) \{ +151 goto ERR; +152 \} +153 if ((res = mp_add(&b2, &b1, &tmp2)) != MP_OKAY) \{ +154 goto ERR; +155 \} +156 if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) \{ +157 goto ERR; +158 \} +159 if ((res = mp_mul(&tmp1, &tmp2, &w2)) != MP_OKAY) \{ +160 goto ERR; +161 \} +162 +163 /* now solve the matrix +164 +165 0 0 0 0 1 +166 1 2 4 8 16 +167 1 1 1 1 1 +168 16 8 4 2 1 +169 1 0 0 0 0 +170 +171 using 12 subtractions, 4 shifts, +172 2 small divisions and 1 small multiplication +173 */ +174 +175 /* r1 - r4 */ +176 if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) \{ +177 goto ERR; +178 \} +179 /* r3 - r0 */ +180 if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) \{ +181 goto ERR; +182 \} +183 /* r1/2 */ +184 if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) \{ +185 goto ERR; +186 \} +187 /* r3/2 */ +188 if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) \{ +189 goto ERR; +190 \} +191 /* r2 - r0 - r4 */ +192 if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) \{ +193 goto ERR; +194 \} +195 if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) \{ +196 goto ERR; +197 \} +198 /* r1 - r2 */ +199 if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) \{ +200 goto ERR; +201 \} +202 /* r3 - r2 */ +203 if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) \{ +204 goto ERR; +205 \} +206 /* r1 - 8r0 */ +207 if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) \{ +208 goto ERR; +209 \} +210 if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) \{ +211 goto ERR; +212 \} +213 /* r3 - 8r4 */ +214 if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) \{ +215 goto ERR; +216 \} +217 if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) \{ +218 goto ERR; +219 \} +220 /* 3r2 - r1 - r3 */ +221 if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) \{ +222 goto ERR; +223 \} +224 if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) \{ +225 goto ERR; +226 \} +227 if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) \{ +228 goto ERR; +229 \} +230 /* r1 - r2 */ +231 if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) \{ +232 goto ERR; +233 \} +234 /* r3 - r2 */ +235 if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) \{ +236 goto ERR; +237 \} +238 /* r1/3 */ +239 if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) \{ +240 goto ERR; +241 \} +242 /* r3/3 */ +243 if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) \{ +244 goto ERR; +245 \} +246 +247 /* at this point shift W[n] by B*n */ +248 if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) \{ +249 goto ERR; +250 \} +251 if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) \{ +252 goto ERR; +253 \} +254 if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) \{ +255 goto ERR; +256 \} +257 if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) \{ +258 goto ERR; +259 \} +260 +261 if ((res = mp_add(&w0, &w1, c)) != MP_OKAY) \{ +262 goto ERR; +263 \} +264 if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) \{ +265 goto ERR; +266 \} +267 if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) \{ +268 goto ERR; +269 \} +270 if ((res = mp_add(&tmp1, c, c)) != MP_OKAY) \{ +271 goto ERR; +272 \} +273 +274 ERR: +275 mp_clear_multi(&w0, &w1, &w2, &w3, &w4, +276 &a0, &a1, &a2, &b0, &b1, +277 &b2, &tmp1, &tmp2, NULL); +278 return res; +279 \} +280 +281 #endif +282 \end{alltt} \end{small} -The first obvious thing to note is that this algorithm is complicated. The complexity is worth it if you are multiplying very +The first obvious thing to note is that this algorithm is complicated. The complexity is worth it if you are multiplying very large numbers. For example, a 10,000 digit multiplication takes approximaly 99,282,205 fewer single precision multiplications with Toom--Cook than a Comba or baseline approach (this is a savings of more than 99$\%$). For most ``crypto'' sized numbers this algorithm is not practical as Karatsuba has a much lower cutoff point. -First we split $a$ and $b$ into three roughly equal portions. This has been accomplished (lines 41 to 70) with +First we split $a$ and $b$ into three roughly equal portions. This has been accomplished (lines 40 to 71) with combinations of mp\_rshd() and mp\_mod\_2d() function calls. At this point $a = a2 \cdot \beta^2 + a1 \cdot \beta + a0$ and similiarly -for $b$. +for $b$. Next we compute the five points $w0, w1, w2, w3$ and $w4$. Recall that $w0$ and $w4$ can be computed directly from the portions so -we get those out of the way first (lines 73 and 78). Next we compute $w1, w2$ and $w3$ using Horners method. +we get those out of the way first (lines 74 and 79). Next we compute $w1, w2$ and $w3$ using Horners method. After this point we solve for the actual values of $w1, w2$ and $w3$ by reducing the $5 \times 5$ system which is relatively -straight forward. +straight forward. \subsection{Signed Multiplication} Now that algorithms to handle multiplications of every useful dimensions have been developed, a rather simple finishing touch is required. So far all -of the multiplication algorithms have been unsigned multiplications which leaves only a signed multiplication algorithm to be established. +of the multiplication algorithms have been unsigned multiplications which leaves only a signed multiplication algorithm to be established. \begin{figure}[!here] \begin{small} @@ -3198,29 +4800,77 @@ of the multiplication algorithms have been unsigned multiplications which leaves \end{figure} \textbf{Algorithm mp\_mul.} -This algorithm performs the signed multiplication of two inputs. It will make use of any of the three unsigned multiplication algorithms +This algorithm performs the signed multiplication of two inputs. It will make use of any of the three unsigned multiplication algorithms available when the input is of appropriate size. The \textbf{sign} of the result is not set until the end of the algorithm since algorithm -s\_mp\_mul\_digs will clear it. +s\_mp\_mul\_digs will clear it. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_mul.c \vspace{-3mm} \begin{alltt} +016 +017 /* high level multiplication (handles sign) */ +018 int mp_mul (mp_int * a, mp_int * b, mp_int * c) +019 \{ +020 int res, neg; +021 neg = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; +022 +023 /* use Toom-Cook? */ +024 #ifdef BN_MP_TOOM_MUL_C +025 if (MIN (a->used, b->used) >= TOOM_MUL_CUTOFF) \{ +026 res = mp_toom_mul(a, b, c); +027 \} else +028 #endif +029 #ifdef BN_MP_KARATSUBA_MUL_C +030 /* use Karatsuba? */ +031 if (MIN (a->used, b->used) >= KARATSUBA_MUL_CUTOFF) \{ +032 res = mp_karatsuba_mul (a, b, c); +033 \} else +034 #endif +035 \{ +036 /* can we use the fast multiplier? +037 * +038 * The fast multiplier can be used if the output will +039 * have less than MP_WARRAY digits and the number of +040 * digits won't affect carry propagation +041 */ +042 int digs = a->used + b->used + 1; +043 +044 #ifdef BN_FAST_S_MP_MUL_DIGS_C +045 if ((digs < MP_WARRAY) && +046 (MIN(a->used, b->used) <= +047 (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) \{ +048 res = fast_s_mp_mul_digs (a, b, c, digs); +049 \} else +050 #endif +051 \{ +052 #ifdef BN_S_MP_MUL_DIGS_C +053 res = s_mp_mul (a, b, c); /* uses s_mp_mul_digs */ +054 #else +055 res = MP_VAL; +056 #endif +057 \} +058 \} +059 c->sign = (c->used > 0) ? neg : MP_ZPOS; +060 return res; +061 \} +062 #endif +063 \end{alltt} \end{small} -The implementation is rather simplistic and is not particularly noteworthy. Line 22 computes the sign of the result using the ``?'' -operator from the C programming language. Line 48 computes $\delta$ using the fact that $1 << k$ is equal to $2^k$. +The implementation is rather simplistic and is not particularly noteworthy. Line 23 computes the sign of the result using the ``?'' +operator from the C programming language. Line 47 computes $\delta$ using the fact that $1 << k$ is equal to $2^k$. \section{Squaring} \label{sec:basesquare} Squaring is a special case of multiplication where both multiplicands are equal. At first it may seem like there is no significant optimization available but in fact there is. Consider the multiplication of $576$ against $241$. In total there will be nine single precision multiplications -performed which are $1\cdot 6$, $1 \cdot 7$, $1 \cdot 5$, $4 \cdot 6$, $4 \cdot 7$, $4 \cdot 5$, $2 \cdot 6$, $2 \cdot 7$ and $2 \cdot 5$. Now consider -the multiplication of $123$ against $123$. The nine products are $3 \cdot 3$, $3 \cdot 2$, $3 \cdot 1$, $2 \cdot 3$, $2 \cdot 2$, $2 \cdot 1$, -$1 \cdot 3$, $1 \cdot 2$ and $1 \cdot 1$. On closer inspection some of the products are equivalent. For example, $3 \cdot 2 = 2 \cdot 3$ -and $3 \cdot 1 = 1 \cdot 3$. +performed which are $1\cdot 6$, $1 \cdot 7$, $1 \cdot 5$, $4 \cdot 6$, $4 \cdot 7$, $4 \cdot 5$, $2 \cdot 6$, $2 \cdot 7$ and $2 \cdot 5$. Now consider +the multiplication of $123$ against $123$. The nine products are $3 \cdot 3$, $3 \cdot 2$, $3 \cdot 1$, $2 \cdot 3$, $2 \cdot 2$, $2 \cdot 1$, +$1 \cdot 3$, $1 \cdot 2$ and $1 \cdot 1$. On closer inspection some of the products are equivalent. For example, $3 \cdot 2 = 2 \cdot 3$ +and $3 \cdot 1 = 1 \cdot 3$. For any $n$-digit input, there are ${{\left (n^2 + n \right)}\over 2}$ possible unique single precision multiplications required compared to the $n^2$ required for multiplication. The following diagram gives an example of the operations required. @@ -3239,19 +4889,19 @@ $\times$ &&1&2&3&\\ \end{figure} Starting from zero and numbering the columns from right to left a very simple pattern becomes obvious. For the purposes of this discussion let $x$ -represent the number being squared. The first observation is that in row $k$ the $2k$'th column of the product has a $\left (x_k \right)^2$ term in it. +represent the number being squared. The first observation is that in row $k$ the $2k$'th column of the product has a $\left (x_k \right)^2$ term in it. The second observation is that every column $j$ in row $k$ where $j \ne 2k$ is part of a double product. Every non-square term of a column will -appear twice hence the name ``double product''. Every odd column is made up entirely of double products. In fact every column is made up of double -products and at most one square (\textit{see the exercise section}). +appear twice hence the name ``double product''. Every odd column is made up entirely of double products. In fact every column is made up of double +products and at most one square (\textit{see the exercise section}). -The third and final observation is that for row $k$ the first unique non-square term, that is, one that hasn't already appeared in an earlier row, -occurs at column $2k + 1$. For example, on row $1$ of the previous squaring, column one is part of the double product with column one from row zero. +The third and final observation is that for row $k$ the first unique non-square term, that is, one that hasn't already appeared in an earlier row, +occurs at column $2k + 1$. For example, on row $1$ of the previous squaring, column one is part of the double product with column one from row zero. Column two of row one is a square and column three is the first unique column. \subsection{The Baseline Squaring Algorithm} The baseline squaring algorithm is meant to be a catch-all squaring algorithm. It will handle any of the input sizes that the faster routines -will not handle. +will not handle. \begin{figure}[!here] \begin{small} @@ -3293,35 +4943,100 @@ will not handle. \textbf{Algorithm s\_mp\_sqr.} This algorithm computes the square of an input using the three observations on squaring. It is based fairly faithfully on algorithm 14.16 of HAC -\cite[pp.596-597]{HAC}. Similar to algorithm s\_mp\_mul\_digs, a temporary mp\_int is allocated to hold the result of the squaring. This allows the +\cite[pp.596-597]{HAC}. Similar to algorithm s\_mp\_mul\_digs, a temporary mp\_int is allocated to hold the result of the squaring. This allows the destination mp\_int to be the same as the source mp\_int. The outer loop of this algorithm begins on step 4. It is best to think of the outer loop as walking down the rows of the partial results, while the inner loop computes the columns of the partial result. Step 4.1 and 4.2 compute the square term for each row, and step 4.3 and 4.4 propagate -the carry and compute the double products. +the carry and compute the double products. The requirement that a mp\_word be able to represent the range $0 \le x < 2 \beta^2$ arises from this very algorithm. The product $a_{ix}a_{iy}$ will lie in the range $0 \le x \le \beta^2 - 2\beta + 1$ which is obviously less than $\beta^2$ meaning that when it is multiplied by two, it can be properly represented by a mp\_word. -Similar to algorithm s\_mp\_mul\_digs, after every pass of the inner loop, the destination is correctly set to the sum of all of the partial -results calculated so far. This involves expensive carry propagation which will be eliminated in the next algorithm. +Similar to algorithm s\_mp\_mul\_digs, after every pass of the inner loop, the destination is correctly set to the sum of all of the partial +results calculated so far. This involves expensive carry propagation which will be eliminated in the next algorithm. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_s\_mp\_sqr.c \vspace{-3mm} \begin{alltt} +016 +017 /* low level squaring, b = a*a, HAC pp.596-597, Algorithm 14.16 */ +018 int s_mp_sqr (mp_int * a, mp_int * b) +019 \{ +020 mp_int t; +021 int res, ix, iy, pa; +022 mp_word r; +023 mp_digit u, tmpx, *tmpt; +024 +025 pa = a->used; +026 if ((res = mp_init_size (&t, (2 * pa) + 1)) != MP_OKAY) \{ +027 return res; +028 \} +029 +030 /* default used is maximum possible size */ +031 t.used = (2 * pa) + 1; +032 +033 for (ix = 0; ix < pa; ix++) \{ +034 /* first calculate the digit at 2*ix */ +035 /* calculate double precision result */ +036 r = (mp_word)t.dp[2*ix] + +037 ((mp_word)a->dp[ix] * (mp_word)a->dp[ix]); +038 +039 /* store lower part in result */ +040 t.dp[ix+ix] = (mp_digit) (r & ((mp_word) MP_MASK)); +041 +042 /* get the carry */ +043 u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); +044 +045 /* left hand side of A[ix] * A[iy] */ +046 tmpx = a->dp[ix]; +047 +048 /* alias for where to store the results */ +049 tmpt = t.dp + ((2 * ix) + 1); +050 +051 for (iy = ix + 1; iy < pa; iy++) \{ +052 /* first calculate the product */ +053 r = ((mp_word)tmpx) * ((mp_word)a->dp[iy]); +054 +055 /* now calculate the double precision result, note we use +056 * addition instead of *2 since it's easier to optimize +057 */ +058 r = ((mp_word) *tmpt) + r + r + ((mp_word) u); +059 +060 /* store lower part */ +061 *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); +062 +063 /* get carry */ +064 u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); +065 \} +066 /* propagate upwards */ +067 while (u != ((mp_digit) 0)) \{ +068 r = ((mp_word) *tmpt) + ((mp_word) u); +069 *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); +070 u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); +071 \} +072 \} +073 +074 mp_clamp (&t); +075 mp_exch (&t, b); +076 mp_clear (&t); +077 return MP_OKAY; +078 \} +079 #endif +080 \end{alltt} \end{small} -Inside the outer loop (line 34) the square term is calculated on line 37. The carry (line 44) has been -extracted from the mp\_word accumulator using a right shift. Aliases for $a_{ix}$ and $t_{ix+iy}$ are initialized -(lines 47 and 50) to simplify the inner loop. The doubling is performed using two -additions (line 59) since it is usually faster than shifting, if not at least as fast. +Inside the outer loop (line 33) the square term is calculated on line 36. The carry (line 43) has been +extracted from the mp\_word accumulator using a right shift. Aliases for $a_{ix}$ and $t_{ix+iy}$ are initialized +(lines 46 and 49) to simplify the inner loop. The doubling is performed using two +additions (line 58) since it is usually faster than shifting, if not at least as fast. The important observation is that the inner loop does not begin at $iy = 0$ like for multiplication. As such the inner loops get progressively shorter as the algorithm proceeds. This is what leads to the savings compared to using a multiplication to -square a number. +square a number. \subsection{Faster Squaring by the ``Comba'' Method} A major drawback to the baseline method is the requirement for single precision shifting inside the $O(n^2)$ nested loop. Squaring has an additional @@ -3331,10 +5046,10 @@ performance hazards. The first obvious solution is to make an array of mp\_words which will hold all of the columns. This will indeed eliminate all of the carry propagation operations from the inner loop. However, the inner product must still be doubled $O(n^2)$ times. The solution stems from the simple fact that $2a + 2b + 2c = 2(a + b + c)$. That is the sum of all of the double products is equal to double the sum of all the products. For example, -$ab + ba + ac + ca = 2ab + 2ac = 2(ab + ac)$. +$ab + ba + ac + ca = 2ab + 2ac = 2(ab + ac)$. -However, we cannot simply double all of the columns, since the squares appear only once per row. The most practical solution is to have two -mp\_word arrays. One array will hold the squares and the other array will hold the double products. With both arrays the doubling and +However, we cannot simply double all of the columns, since the squares appear only once per row. The most practical solution is to have two +mp\_word arrays. One array will hold the squares and the other array will hold the double products. With both arrays the doubling and carry propagation can be moved to a $O(n)$ work level outside the $O(n^2)$ level. In this case, we have an even simpler solution in mind. \newpage\begin{figure}[!here] @@ -3372,7 +5087,7 @@ Place an array of \textbf{MP\_WARRAY} mp\_digits named $W$ on the stack. \\ 9. for $ix$ from $pa$ to $oldused - 1$ do \\ \hspace{3mm}9.1 $b_{ix} \leftarrow 0$ \\ 10. Clamp excess digits from $b$. (\textit{mp\_clamp}) \\ -11. Return(\textit{MP\_OKAY}). \\ +11. Return(\textit{MP\_OKAY}). \\ \hline \end{tabular} \end{center} @@ -3381,8 +5096,8 @@ Place an array of \textbf{MP\_WARRAY} mp\_digits named $W$ on the stack. \\ \end{figure} \textbf{Algorithm fast\_s\_mp\_sqr.} -This algorithm computes the square of an input using the Comba technique. It is designed to be a replacement for algorithm -s\_mp\_sqr when the number of input digits is less than \textbf{MP\_WARRAY} and less than $\delta \over 2$. +This algorithm computes the square of an input using the Comba technique. It is designed to be a replacement for algorithm +s\_mp\_sqr when the number of input digits is less than \textbf{MP\_WARRAY} and less than $\delta \over 2$. This algorithm is very similar to the Comba multiplier except with a few key differences we shall make note of. First, we have an accumulator and carry variables $\_ \hat W$ and $\hat W1$ respectively. This is because the inner loop @@ -3399,38 +5114,133 @@ only to even outputs and it is the square of the term at the $\lfloor ix / 2 \rf \hspace{-5.1mm}{\bf File}: bn\_fast\_s\_mp\_sqr.c \vspace{-3mm} \begin{alltt} +016 +017 /* the jist of squaring... +018 * you do like mult except the offset of the tmpx [one that +019 * starts closer to zero] can't equal the offset of tmpy. +020 * So basically you set up iy like before then you min it with +021 * (ty-tx) so that it never happens. You double all those +022 * you add in the inner loop +023 +024 After that loop you do the squares and add them in. +025 */ +026 +027 int fast_s_mp_sqr (mp_int * a, mp_int * b) +028 \{ +029 int olduse, res, pa, ix, iz; +030 mp_digit W[MP_WARRAY], *tmpx; +031 mp_word W1; +032 +033 /* grow the destination as required */ +034 pa = a->used + a->used; +035 if (b->alloc < pa) \{ +036 if ((res = mp_grow (b, pa)) != MP_OKAY) \{ +037 return res; +038 \} +039 \} +040 +041 /* number of output digits to produce */ +042 W1 = 0; +043 for (ix = 0; ix < pa; ix++) \{ +044 int tx, ty, iy; +045 mp_word _W; +046 mp_digit *tmpy; +047 +048 /* clear counter */ +049 _W = 0; +050 +051 /* get offsets into the two bignums */ +052 ty = MIN(a->used-1, ix); +053 tx = ix - ty; +054 +055 /* setup temp aliases */ +056 tmpx = a->dp + tx; +057 tmpy = a->dp + ty; +058 +059 /* this is the number of times the loop will iterrate, essentially +060 while (tx++ < a->used && ty-- >= 0) \{ ... \} +061 */ +062 iy = MIN(a->used-tx, ty+1); +063 +064 /* now for squaring tx can never equal ty +065 * we halve the distance since they approach at a rate of 2x +066 * and we have to round because odd cases need to be executed +067 */ +068 iy = MIN(iy, ((ty-tx)+1)>>1); +069 +070 /* execute loop */ +071 for (iz = 0; iz < iy; iz++) \{ +072 _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--); +073 \} +074 +075 /* double the inner product and add carry */ +076 _W = _W + _W + W1; +077 +078 /* even columns have the square term in them */ +079 if ((ix&1) == 0) \{ +080 _W += ((mp_word)a->dp[ix>>1])*((mp_word)a->dp[ix>>1]); +081 \} +082 +083 /* store it */ +084 W[ix] = (mp_digit)(_W & MP_MASK); +085 +086 /* make next carry */ +087 W1 = _W >> ((mp_word)DIGIT_BIT); +088 \} +089 +090 /* setup dest */ +091 olduse = b->used; +092 b->used = a->used+a->used; +093 +094 \{ +095 mp_digit *tmpb; +096 tmpb = b->dp; +097 for (ix = 0; ix < pa; ix++) \{ +098 *tmpb++ = W[ix] & MP_MASK; +099 \} +100 +101 /* clear unused digits [that existed in the old copy of c] */ +102 for (; ix < olduse; ix++) \{ +103 *tmpb++ = 0; +104 \} +105 \} +106 mp_clamp (b); +107 return MP_OKAY; +108 \} +109 #endif +110 \end{alltt} \end{small} -This implementation is essentially a copy of Comba multiplication with the appropriate changes added to make it faster for -the special case of squaring. +This implementation is essentially a copy of Comba multiplication with the appropriate changes added to make it faster for +the special case of squaring. \subsection{Polynomial Basis Squaring} The same algorithm that performs optimal polynomial basis multiplication can be used to perform polynomial basis squaring. The minor exception is that $\zeta_y = f(y)g(y)$ is actually equivalent to $\zeta_y = f(y)^2$ since $f(y) = g(y)$. Instead of performing $2n + 1$ -multiplications to find the $\zeta$ relations, squaring operations are performed instead. +multiplications to find the $\zeta$ relations, squaring operations are performed instead. \subsection{Karatsuba Squaring} -Let $f(x) = ax + b$ represent the polynomial basis representation of a number to square. -Let $h(x) = \left ( f(x) \right )^2$ represent the square of the polynomial. The Karatsuba equation can be modified to square a +Let $f(x) = ax + b$ represent the polynomial basis representation of a number to square. +Let $h(x) = \left ( f(x) \right )^2$ represent the square of the polynomial. The Karatsuba equation can be modified to square a number with the following equation. \begin{equation} h(x) = a^2x^2 + \left ((a + b)^2 - (a^2 + b^2) \right )x + b^2 \end{equation} -Upon closer inspection this equation only requires the calculation of three half-sized squares: $a^2$, $b^2$ and $(a + b)^2$. As in -Karatsuba multiplication, this algorithm can be applied recursively on the input and will achieve an asymptotic running time of +Upon closer inspection this equation only requires the calculation of three half-sized squares: $a^2$, $b^2$ and $(a + b)^2$. As in +Karatsuba multiplication, this algorithm can be applied recursively on the input and will achieve an asymptotic running time of $O \left ( n^{lg(3)} \right )$. -If the asymptotic times of Karatsuba squaring and multiplication are the same, why not simply use the multiplication algorithm -instead? The answer to this arises from the cutoff point for squaring. As in multiplication there exists a cutoff point, at which the -time required for a Comba based squaring and a Karatsuba based squaring meet. Due to the overhead inherent in the Karatsuba method, the cutoff -point is fairly high. For example, on an AMD Athlon XP processor with $\beta = 2^{28}$, the cutoff point is around 127 digits. +If the asymptotic times of Karatsuba squaring and multiplication are the same, why not simply use the multiplication algorithm +instead? The answer to this arises from the cutoff point for squaring. As in multiplication there exists a cutoff point, at which the +time required for a Comba based squaring and a Karatsuba based squaring meet. Due to the overhead inherent in the Karatsuba method, the cutoff +point is fairly high. For example, on an AMD Athlon XP processor with $\beta = 2^{28}$, the cutoff point is around 127 digits. -Consider squaring a 200 digit number with this technique. It will be split into two 100 digit halves which are subsequently squared. +Consider squaring a 200 digit number with this technique. It will be split into two 100 digit halves which are subsequently squared. The 100 digit halves will not be squared using Karatsuba, but instead using the faster Comba based squaring algorithm. If Karatsuba multiplication -were used instead, the 100 digit numbers would be squared with a slower Comba based multiplication. +were used instead, the 100 digit numbers would be squared with a slower Comba based multiplication. \newpage\begin{figure}[!here] \begin{small} @@ -3484,7 +5294,7 @@ Now if $5n$ single precision additions and a squaring of $n$-digits is faster th this method is faster. Assuming no further recursions occur, the difference can be estimated with the following inequality. Let $p$ represent the cost of a single precision addition and $q$ the cost of a single precision multiplication both in terms of time\footnote{Or -machine clock cycles.}. +machine clock cycles.}. \begin{equation} 5pn +{{q(n^2 + n)} \over 2} \le pn + qn^2 @@ -3502,32 +5312,134 @@ ${13 \over 9}$ & $<$ & $n$ \\ This results in a cutoff point around $n = 2$. As a consequence it is actually faster to compute the middle term the ``long way'' on processors where multiplication is substantially slower\footnote{On the Athlon there is a 1:17 ratio between clock cycles for addition and multiplication. On the Intel P4 processor this ratio is 1:29 making this method even more beneficial. The only common exception is the ARMv4 processor which has a -ratio of 1:7. } than simpler operations such as addition. +ratio of 1:7. } than simpler operations such as addition. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_karatsuba\_sqr.c \vspace{-3mm} \begin{alltt} +016 +017 /* Karatsuba squaring, computes b = a*a using three +018 * half size squarings +019 * +020 * See comments of karatsuba_mul for details. It +021 * is essentially the same algorithm but merely +022 * tuned to perform recursive squarings. +023 */ +024 int mp_karatsuba_sqr (mp_int * a, mp_int * b) +025 \{ +026 mp_int x0, x1, t1, t2, x0x0, x1x1; +027 int B, err; +028 +029 err = MP_MEM; +030 +031 /* min # of digits */ +032 B = a->used; +033 +034 /* now divide in two */ +035 B = B >> 1; +036 +037 /* init copy all the temps */ +038 if (mp_init_size (&x0, B) != MP_OKAY) +039 goto ERR; +040 if (mp_init_size (&x1, a->used - B) != MP_OKAY) +041 goto X0; +042 +043 /* init temps */ +044 if (mp_init_size (&t1, a->used * 2) != MP_OKAY) +045 goto X1; +046 if (mp_init_size (&t2, a->used * 2) != MP_OKAY) +047 goto T1; +048 if (mp_init_size (&x0x0, B * 2) != MP_OKAY) +049 goto T2; +050 if (mp_init_size (&x1x1, (a->used - B) * 2) != MP_OKAY) +051 goto X0X0; +052 +053 \{ +054 int x; +055 mp_digit *dst, *src; +056 +057 src = a->dp; +058 +059 /* now shift the digits */ +060 dst = x0.dp; +061 for (x = 0; x < B; x++) \{ +062 *dst++ = *src++; +063 \} +064 +065 dst = x1.dp; +066 for (x = B; x < a->used; x++) \{ +067 *dst++ = *src++; +068 \} +069 \} +070 +071 x0.used = B; +072 x1.used = a->used - B; +073 +074 mp_clamp (&x0); +075 +076 /* now calc the products x0*x0 and x1*x1 */ +077 if (mp_sqr (&x0, &x0x0) != MP_OKAY) +078 goto X1X1; /* x0x0 = x0*x0 */ +079 if (mp_sqr (&x1, &x1x1) != MP_OKAY) +080 goto X1X1; /* x1x1 = x1*x1 */ +081 +082 /* now calc (x1+x0)**2 */ +083 if (s_mp_add (&x1, &x0, &t1) != MP_OKAY) +084 goto X1X1; /* t1 = x1 - x0 */ +085 if (mp_sqr (&t1, &t1) != MP_OKAY) +086 goto X1X1; /* t1 = (x1 - x0) * (x1 - x0) */ +087 +088 /* add x0y0 */ +089 if (s_mp_add (&x0x0, &x1x1, &t2) != MP_OKAY) +090 goto X1X1; /* t2 = x0x0 + x1x1 */ +091 if (s_mp_sub (&t1, &t2, &t1) != MP_OKAY) +092 goto X1X1; /* t1 = (x1+x0)**2 - (x0x0 + x1x1) */ +093 +094 /* shift by B */ +095 if (mp_lshd (&t1, B) != MP_OKAY) +096 goto X1X1; /* t1 = (x0x0 + x1x1 - (x1-x0)*(x1-x0))<used >= TOOM_SQR_CUTOFF) \{ +026 res = mp_toom_sqr(a, b); +027 /* Karatsuba? */ +028 \} else +029 #endif +030 #ifdef BN_MP_KARATSUBA_SQR_C +031 if (a->used >= KARATSUBA_SQR_CUTOFF) \{ +032 res = mp_karatsuba_sqr (a, b); +033 \} else +034 #endif +035 \{ +036 #ifdef BN_FAST_S_MP_SQR_C +037 /* can we use the fast comba multiplier? */ +038 if ((((a->used * 2) + 1) < MP_WARRAY) && +039 (a->used < +040 (1 << (((sizeof(mp_word) * CHAR_BIT) - (2 * DIGIT_BIT)) - 1)))) \{ +041 res = fast_s_mp_sqr (a, b); +042 \} else +043 #endif +044 \{ +045 #ifdef BN_S_MP_SQR_C +046 res = s_mp_sqr (a, b); +047 #else +048 res = MP_VAL; +049 #endif +050 \} +051 \} +052 b->sign = MP_ZPOS; +053 return res; +054 \} +055 #endif +056 \end{alltt} \end{small} @@ -3576,11 +5529,11 @@ $\left [ 3 \right ] $ & Devise an efficient algorithm for selection of the radix & \\ $\left [ 2 \right ] $ & In section 5.3 the fact that every column of a squaring is made up \\ & of double products and at most one square is stated. Prove this statement. \\ - & \\ + & \\ $\left [ 3 \right ] $ & Prove the equation for Karatsuba squaring. \\ & \\ $\left [ 1 \right ] $ & Prove that Karatsuba squaring requires $O \left (n^{lg(3)} \right )$ time. \\ - & \\ + & \\ $\left [ 2 \right ] $ & Determine the minimal ratio between addition and multiplication clock cycles \\ & required for equation $6.7$ to be true. \\ & \\ @@ -3597,61 +5550,61 @@ $\left [ 4 \right ] $ & Same as the previous but also modify the Karatsuba and T \chapter{Modular Reduction} \section{Basics of Modular Reduction} \index{modular residue} -Modular reduction is an operation that arises quite often within public key cryptography algorithms and various number theoretic algorithms, +Modular reduction is an operation that arises quite often within public key cryptography algorithms and various number theoretic algorithms, such as factoring. Modular reduction algorithms are the third class of algorithms of the ``multipliers'' set. A number $a$ is said to be \textit{reduced} -modulo another number $b$ by finding the remainder of the division $a/b$. Full integer division with remainder is a topic to be covered +modulo another number $b$ by finding the remainder of the division $a/b$. Full integer division with remainder is a topic to be covered in~\ref{sec:division}. -Modular reduction is equivalent to solving for $r$ in the following equation. $a = bq + r$ where $q = \lfloor a/b \rfloor$. The result -$r$ is said to be ``congruent to $a$ modulo $b$'' which is also written as $r \equiv a \mbox{ (mod }b\mbox{)}$. In other vernacular $r$ is known as the +Modular reduction is equivalent to solving for $r$ in the following equation. $a = bq + r$ where $q = \lfloor a/b \rfloor$. The result +$r$ is said to be ``congruent to $a$ modulo $b$'' which is also written as $r \equiv a \mbox{ (mod }b\mbox{)}$. In other vernacular $r$ is known as the ``modular residue'' which leads to ``quadratic residue''\footnote{That's fancy talk for $b \equiv a^2 \mbox{ (mod }p\mbox{)}$.} and -other forms of residues. +other forms of residues. -Modular reductions are normally used to create either finite groups, rings or fields. The most common usage for performance driven modular reductions -is in modular exponentiation algorithms. That is to compute $d = a^b \mbox{ (mod }c\mbox{)}$ as fast as possible. This operation is used in the -RSA and Diffie-Hellman public key algorithms, for example. Modular multiplication and squaring also appears as a fundamental operation in -elliptic curve cryptographic algorithms. As will be discussed in the subsequent chapter there exist fast algorithms for computing modular -exponentiations without having to perform (\textit{in this example}) $b - 1$ multiplications. These algorithms will produce partial results in the -range $0 \le x < c^2$ which can be taken advantage of to create several efficient algorithms. They have also been used to create redundancy check -algorithms known as CRCs, error correction codes such as Reed-Solomon and solve a variety of number theoeretic problems. +Modular reductions are normally used to create either finite groups, rings or fields. The most common usage for performance driven modular reductions +is in modular exponentiation algorithms. That is to compute $d = a^b \mbox{ (mod }c\mbox{)}$ as fast as possible. This operation is used in the +RSA and Diffie-Hellman public key algorithms, for example. Modular multiplication and squaring also appears as a fundamental operation in +elliptic curve cryptographic algorithms. As will be discussed in the subsequent chapter there exist fast algorithms for computing modular +exponentiations without having to perform (\textit{in this example}) $b - 1$ multiplications. These algorithms will produce partial results in the +range $0 \le x < c^2$ which can be taken advantage of to create several efficient algorithms. They have also been used to create redundancy check +algorithms known as CRCs, error correction codes such as Reed-Solomon and solve a variety of number theoeretic problems. \section{The Barrett Reduction} The Barrett reduction algorithm \cite{BARRETT} was inspired by fast division algorithms which multiply by the reciprocal to emulate -division. Barretts observation was that the residue $c$ of $a$ modulo $b$ is equal to +division. Barretts observation was that the residue $c$ of $a$ modulo $b$ is equal to \begin{equation} c = a - b \cdot \lfloor a/b \rfloor \end{equation} -Since algorithms such as modular exponentiation would be using the same modulus extensively, typical DSP\footnote{It is worth noting that Barrett's paper -targeted the DSP56K processor.} intuition would indicate the next step would be to replace $a/b$ by a multiplication by the reciprocal. However, -DSP intuition on its own will not work as these numbers are considerably larger than the precision of common DSP floating point data types. +Since algorithms such as modular exponentiation would be using the same modulus extensively, typical DSP\footnote{It is worth noting that Barrett's paper +targeted the DSP56K processor.} intuition would indicate the next step would be to replace $a/b$ by a multiplication by the reciprocal. However, +DSP intuition on its own will not work as these numbers are considerably larger than the precision of common DSP floating point data types. It would take another common optimization to optimize the algorithm. \subsection{Fixed Point Arithmetic} The trick used to optimize the above equation is based on a technique of emulating floating point data types with fixed precision integers. Fixed -point arithmetic would become very popular as it greatly optimize the ``3d-shooter'' genre of games in the mid 1990s when floating point units were -fairly slow if not unavailable. The idea behind fixed point arithmetic is to take a normal $k$-bit integer data type and break it into $p$-bit -integer and a $q$-bit fraction part (\textit{where $p+q = k$}). +point arithmetic would become very popular as it greatly optimize the ``3d-shooter'' genre of games in the mid 1990s when floating point units were +fairly slow if not unavailable. The idea behind fixed point arithmetic is to take a normal $k$-bit integer data type and break it into $p$-bit +integer and a $q$-bit fraction part (\textit{where $p+q = k$}). In this system a $k$-bit integer $n$ would actually represent $n/2^q$. For example, with $q = 4$ the integer $n = 37$ would actually represent the -value $2.3125$. To multiply two fixed point numbers the integers are multiplied using traditional arithmetic and subsequently normalized by -moving the implied decimal point back to where it should be. For example, with $q = 4$ to multiply the integers $9$ and $5$ they must be converted -to fixed point first by multiplying by $2^q$. Let $a = 9(2^q)$ represent the fixed point representation of $9$ and $b = 5(2^q)$ represent the -fixed point representation of $5$. The product $ab$ is equal to $45(2^{2q})$ which when normalized by dividing by $2^q$ produces $45(2^q)$. +value $2.3125$. To multiply two fixed point numbers the integers are multiplied using traditional arithmetic and subsequently normalized by +moving the implied decimal point back to where it should be. For example, with $q = 4$ to multiply the integers $9$ and $5$ they must be converted +to fixed point first by multiplying by $2^q$. Let $a = 9(2^q)$ represent the fixed point representation of $9$ and $b = 5(2^q)$ represent the +fixed point representation of $5$. The product $ab$ is equal to $45(2^{2q})$ which when normalized by dividing by $2^q$ produces $45(2^q)$. This technique became popular since a normal integer multiplication and logical shift right are the only required operations to perform a multiplication -of two fixed point numbers. Using fixed point arithmetic, division can be easily approximated by multiplying by the reciprocal. If $2^q$ is -equivalent to one than $2^q/b$ is equivalent to the fixed point approximation of $1/b$ using real arithmetic. Using this fact dividing an integer +of two fixed point numbers. Using fixed point arithmetic, division can be easily approximated by multiplying by the reciprocal. If $2^q$ is +equivalent to one than $2^q/b$ is equivalent to the fixed point approximation of $1/b$ using real arithmetic. Using this fact dividing an integer $a$ by another integer $b$ can be achieved with the following expression. \begin{equation} \lfloor a / b \rfloor \mbox{ }\approx\mbox{ } \lfloor (a \cdot \lfloor 2^q / b \rfloor)/2^q \rfloor \end{equation} -The precision of the division is proportional to the value of $q$. If the divisor $b$ is used frequently as is the case with +The precision of the division is proportional to the value of $q$. If the divisor $b$ is used frequently as is the case with modular exponentiation pre-computing $2^q/b$ will allow a division to be performed with a multiplication and a right shift. Both operations -are considerably faster than division on most processors. +are considerably faster than division on most processors. Consider dividing $19$ by $5$. The correct result is $\lfloor 19/5 \rfloor = 3$. With $q = 3$ the reciprocal is $\lfloor 2^q/5 \rfloor = 1$ which leads to a product of $19$ which when divided by $2^q$ produces $2$. However, with $q = 4$ the reciprocal is $\lfloor 2^q/5 \rfloor = 3$ and @@ -3672,11 +5625,11 @@ c = a - b \cdot \lfloor (a \cdot \mu)/2^q \rfloor Provided that $2^q \ge a$ this algorithm will produce a quotient that is either exactly correct or off by a value of one. In the context of Barrett reduction the value of $a$ is bound by $0 \le a \le (b - 1)^2$ meaning that $2^q \ge b^2$ is sufficient to ensure the reciprocal will have enough -precision. +precision. -Let $n$ represent the number of digits in $b$. This algorithm requires approximately $2n^2$ single precision multiplications to produce the quotient and -another $n^2$ single precision multiplications to find the residue. In total $3n^2$ single precision multiplications are required to -reduce the number. +Let $n$ represent the number of digits in $b$. This algorithm requires approximately $2n^2$ single precision multiplications to produce the quotient and +another $n^2$ single precision multiplications to find the residue. In total $3n^2$ single precision multiplications are required to +reduce the number. For example, if $b = 1179677$ and $q = 41$ ($2^q > b^2$), then the reciprocal $\mu$ is equal to $\lfloor 2^q / b \rfloor = 1864089$. Consider reducing $a = 180388626447$ modulo $b$ using the above reduction equation. The quotient using the new formula is $\lfloor (a \cdot \mu) / 2^q \rfloor = 152913$. @@ -3684,19 +5637,19 @@ By subtracting $152913b$ from $a$ the correct residue $a \equiv 677346 \mbox{ (m \subsection{Choosing a Radix Point} Using the fixed point representation a modular reduction can be performed with $3n^2$ single precision multiplications. If that were the best -that could be achieved a full division\footnote{A division requires approximately $O(2cn^2)$ single precision multiplications for a small value of $c$. +that could be achieved a full division\footnote{A division requires approximately $O(2cn^2)$ single precision multiplications for a small value of $c$. See~\ref{sec:division} for further details.} might as well be used in its place. The key to optimizing the reduction is to reduce the precision of -the initial multiplication that finds the quotient. +the initial multiplication that finds the quotient. Let $a$ represent the number of which the residue is sought. Let $b$ represent the modulus used to find the residue. Let $m$ represent -the number of digits in $b$. For the purposes of this discussion we will assume that the number of digits in $a$ is $2m$, which is generally true if -two $m$-digit numbers have been multiplied. Dividing $a$ by $b$ is the same as dividing a $2m$ digit integer by a $m$ digit integer. Digits below the +the number of digits in $b$. For the purposes of this discussion we will assume that the number of digits in $a$ is $2m$, which is generally true if +two $m$-digit numbers have been multiplied. Dividing $a$ by $b$ is the same as dividing a $2m$ digit integer by a $m$ digit integer. Digits below the $m - 1$'th digit of $a$ will contribute at most a value of $1$ to the quotient because $\beta^k < b$ for any $0 \le k \le m - 1$. Another way to -express this is by re-writing $a$ as two parts. If $a' \equiv a \mbox{ (mod }b^m\mbox{)}$ and $a'' = a - a'$ then +express this is by re-writing $a$ as two parts. If $a' \equiv a \mbox{ (mod }b^m\mbox{)}$ and $a'' = a - a'$ then ${a \over b} \equiv {{a' + a''} \over b}$ which is equivalent to ${a' \over b} + {a'' \over b}$. Since $a'$ is bound to be less than $b$ the quotient is bound by $0 \le {a' \over b} < 1$. -Since the digits of $a'$ do not contribute much to the quotient the observation is that they might as well be zero. However, if the digits +Since the digits of $a'$ do not contribute much to the quotient the observation is that they might as well be zero. However, if the digits ``might as well be zero'' they might as well not be there in the first place. Let $q_0 = \lfloor a/\beta^{m-1} \rfloor$ represent the input with the irrelevant digits trimmed. Now the modular reduction is trimmed to the almost equivalent equation @@ -3704,52 +5657,52 @@ with the irrelevant digits trimmed. Now the modular reduction is trimmed to the c = a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor \end{equation} -Note that the original divisor $2^q$ has been replaced with $\beta^{m+1}$ where in this case $q$ is a multiple of $lg(\beta)$. Also note that the -exponent on the divisor when added to the amount $q_0$ was shifted by equals $2m$. If the optimization had not been performed the divisor -would have the exponent $2m$ so in the end the exponents do ``add up''. Using the above equation the quotient +Note that the original divisor $2^q$ has been replaced with $\beta^{m+1}$ where in this case $q$ is a multiple of $lg(\beta)$. Also note that the +exponent on the divisor when added to the amount $q_0$ was shifted by equals $2m$. If the optimization had not been performed the divisor +would have the exponent $2m$ so in the end the exponents do ``add up''. Using the above equation the quotient $\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ can be off from the true quotient by at most two. The original fixed point quotient can be off by as much as one (\textit{provided the radix point is chosen suitably}) and now that the lower irrelevent digits have been trimmed the quotient -can be off by an additional value of one for a total of at most two. This implies that -$0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. By first subtracting $b$ times the quotient and then conditionally subtracting +can be off by an additional value of one for a total of at most two. This implies that +$0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. By first subtracting $b$ times the quotient and then conditionally subtracting $b$ once or twice the residue is found. The quotient is now found using $(m + 1)(m) = m^2 + m$ single precision multiplications and the residue with an additional $m^2$ single -precision multiplications, ignoring the subtractions required. In total $2m^2 + m$ single precision multiplications are required to find the residue. +precision multiplications, ignoring the subtractions required. In total $2m^2 + m$ single precision multiplications are required to find the residue. This is considerably faster than the original attempt. -For example, let $\beta = 10$ represent the radix of the digits. Let $b = 9999$ represent the modulus which implies $m = 4$. Let $a = 99929878$ -represent the value of which the residue is desired. In this case $q = 8$ since $10^7 < 9999^2$ meaning that $\mu = \lfloor \beta^{q}/b \rfloor = 10001$. -With the new observation the multiplicand for the quotient is equal to $q_0 = \lfloor a / \beta^{m - 1} \rfloor = 99929$. The quotient is then -$\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor = 9993$. Subtracting $9993b$ from $a$ and the correct residue $a \equiv 9871 \mbox{ (mod }b\mbox{)}$ -is found. +For example, let $\beta = 10$ represent the radix of the digits. Let $b = 9999$ represent the modulus which implies $m = 4$. Let $a = 99929878$ +represent the value of which the residue is desired. In this case $q = 8$ since $10^7 < 9999^2$ meaning that $\mu = \lfloor \beta^{q}/b \rfloor = 10001$. +With the new observation the multiplicand for the quotient is equal to $q_0 = \lfloor a / \beta^{m - 1} \rfloor = 99929$. The quotient is then +$\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor = 9993$. Subtracting $9993b$ from $a$ and the correct residue $a \equiv 9871 \mbox{ (mod }b\mbox{)}$ +is found. \subsection{Trimming the Quotient} -So far the reduction algorithm has been optimized from $3m^2$ single precision multiplications down to $2m^2 + m$ single precision multiplications. As +So far the reduction algorithm has been optimized from $3m^2$ single precision multiplications down to $2m^2 + m$ single precision multiplications. As it stands now the algorithm is already fairly fast compared to a full integer division algorithm. However, there is still room for -optimization. +optimization. After the first multiplication inside the quotient ($q_0 \cdot \mu$) the value is shifted right by $m + 1$ places effectively nullifying the lower -half of the product. It would be nice to be able to remove those digits from the product to effectively cut down the number of single precision -multiplications. If the number of digits in the modulus $m$ is far less than $\beta$ a full product is not required for the algorithm to work properly. -In fact the lower $m - 2$ digits will not affect the upper half of the product at all and do not need to be computed. +half of the product. It would be nice to be able to remove those digits from the product to effectively cut down the number of single precision +multiplications. If the number of digits in the modulus $m$ is far less than $\beta$ a full product is not required for the algorithm to work properly. +In fact the lower $m - 2$ digits will not affect the upper half of the product at all and do not need to be computed. The value of $\mu$ is a $m$-digit number and $q_0$ is a $m + 1$ digit number. Using a full multiplier $(m + 1)(m) = m^2 + m$ single precision multiplications would be required. Using a multiplier that will only produce digits at and above the $m - 1$'th digit reduces the number -of single precision multiplications to ${m^2 + m} \over 2$ single precision multiplications. +of single precision multiplications to ${m^2 + m} \over 2$ single precision multiplications. \subsection{Trimming the Residue} After the quotient has been calculated it is used to reduce the input. As previously noted the algorithm is not exact and it can be off by a small -multiple of the modulus, that is $0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. If $b$ is $m$ digits than the +multiple of the modulus, that is $0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. If $b$ is $m$ digits than the result of reduction equation is a value of at most $m + 1$ digits (\textit{provided $3 < \beta$}) implying that the upper $m - 1$ digits are -implicitly zero. +implicitly zero. The next optimization arises from this very fact. Instead of computing $b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ using a full $O(m^2)$ multiplication algorithm only the lower $m+1$ digits of the product have to be computed. Similarly the value of $a$ can -be reduced modulo $\beta^{m+1}$ before the multiple of $b$ is subtracted which simplifes the subtraction as well. A multiplication that produces -only the lower $m+1$ digits requires ${m^2 + 3m - 2} \over 2$ single precision multiplications. +be reduced modulo $\beta^{m+1}$ before the multiple of $b$ is subtracted which simplifes the subtraction as well. A multiplication that produces +only the lower $m+1$ digits requires ${m^2 + 3m - 2} \over 2$ single precision multiplications. With both optimizations in place the algorithm is the algorithm Barrett proposed. It requires $m^2 + 2m - 1$ single precision multiplications which -is considerably faster than the straightforward $3m^2$ method. +is considerably faster than the straightforward $3m^2$ method. \subsection{The Barrett Algorithm} \newpage\begin{figure}[!here] @@ -3793,43 +5746,124 @@ Now subtract the modulus if the residue is too large (e.g. quotient too small). \textbf{Algorithm mp\_reduce.} This algorithm will reduce the input $a$ modulo $b$ in place using the Barrett algorithm. It is loosely based on algorithm 14.42 of HAC -\cite[pp. 602]{HAC} which is based on the paper from Paul Barrett \cite{BARRETT}. The algorithm has several restrictions and assumptions which must +\cite[pp. 602]{HAC} which is based on the paper from Paul Barrett \cite{BARRETT}. The algorithm has several restrictions and assumptions which must be adhered to for the algorithm to work. First the modulus $b$ is assumed to be positive and greater than one. If the modulus were less than or equal to one than subtracting a multiple of it would either accomplish nothing or actually enlarge the input. The input $a$ must be in the range $0 \le a < b^2$ in order for the quotient to have enough precision. If $a$ is the product of two numbers that were already reduced modulo $b$, this will not be a problem. -Technically the algorithm will still work if $a \ge b^2$ but it will take much longer to finish. The value of $\mu$ is passed as an argument to this -algorithm and is assumed to be calculated and stored before the algorithm is used. +Technically the algorithm will still work if $a \ge b^2$ but it will take much longer to finish. The value of $\mu$ is passed as an argument to this +algorithm and is assumed to be calculated and stored before the algorithm is used. -Recall that the multiplication for the quotient on step 3 must only produce digits at or above the $m-1$'th position. An algorithm called +Recall that the multiplication for the quotient on step 3 must only produce digits at or above the $m-1$'th position. An algorithm called $s\_mp\_mul\_high\_digs$ which has not been presented is used to accomplish this task. The algorithm is based on $s\_mp\_mul\_digs$ except that instead of stopping at a given level of precision it starts at a given level of precision. This optimal algorithm can only be used if the number -of digits in $b$ is very much smaller than $\beta$. +of digits in $b$ is very much smaller than $\beta$. -While it is known that -$a \ge b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ only the lower $m+1$ digits are being used to compute the residue, so an implied -``borrow'' from the higher digits might leave a negative result. After the multiple of the modulus has been subtracted from $a$ the residue must be -fixed up in case it is negative. The invariant $\beta^{m+1}$ must be added to the residue to make it positive again. +While it is known that +$a \ge b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ only the lower $m+1$ digits are being used to compute the residue, so an implied +``borrow'' from the higher digits might leave a negative result. After the multiple of the modulus has been subtracted from $a$ the residue must be +fixed up in case it is negative. The invariant $\beta^{m+1}$ must be added to the residue to make it positive again. -The while loop at step 9 will subtract $b$ until the residue is less than $b$. If the algorithm is performed correctly this step is +The while loop at step 9 will subtract $b$ until the residue is less than $b$. If the algorithm is performed correctly this step is performed at most twice, and on average once. However, if $a \ge b^2$ than it will iterate substantially more times than it should. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_reduce.c \vspace{-3mm} \begin{alltt} +016 +017 /* reduces x mod m, assumes 0 < x < m**2, mu is +018 * precomputed via mp_reduce_setup. +019 * From HAC pp.604 Algorithm 14.42 +020 */ +021 int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) +022 \{ +023 mp_int q; +024 int res, um = m->used; +025 +026 /* q = x */ +027 if ((res = mp_init_copy (&q, x)) != MP_OKAY) \{ +028 return res; +029 \} +030 +031 /* q1 = x / b**(k-1) */ +032 mp_rshd (&q, um - 1); +033 +034 /* according to HAC this optimization is ok */ +035 if (((mp_digit) um) > (((mp_digit)1) << (DIGIT_BIT - 1))) \{ +036 if ((res = mp_mul (&q, mu, &q)) != MP_OKAY) \{ +037 goto CLEANUP; +038 \} +039 \} else \{ +040 #ifdef BN_S_MP_MUL_HIGH_DIGS_C +041 if ((res = s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) \{ +042 goto CLEANUP; +043 \} +044 #elif defined(BN_FAST_S_MP_MUL_HIGH_DIGS_C) +045 if ((res = fast_s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) \{ +046 goto CLEANUP; +047 \} +048 #else +049 \{ +050 res = MP_VAL; +051 goto CLEANUP; +052 \} +053 #endif +054 \} +055 +056 /* q3 = q2 / b**(k+1) */ +057 mp_rshd (&q, um + 1); +058 +059 /* x = x mod b**(k+1), quick (no division) */ +060 if ((res = mp_mod_2d (x, DIGIT_BIT * (um + 1), x)) != MP_OKAY) \{ +061 goto CLEANUP; +062 \} +063 +064 /* q = q * m mod b**(k+1), quick (no division) */ +065 if ((res = s_mp_mul_digs (&q, m, &q, um + 1)) != MP_OKAY) \{ +066 goto CLEANUP; +067 \} +068 +069 /* x = x - q */ +070 if ((res = mp_sub (x, &q, x)) != MP_OKAY) \{ +071 goto CLEANUP; +072 \} +073 +074 /* If x < 0, add b**(k+1) to it */ +075 if (mp_cmp_d (x, 0) == MP_LT) \{ +076 mp_set (&q, 1); +077 if ((res = mp_lshd (&q, um + 1)) != MP_OKAY) +078 goto CLEANUP; +079 if ((res = mp_add (x, &q, x)) != MP_OKAY) +080 goto CLEANUP; +081 \} +082 +083 /* Back off if it's too big */ +084 while (mp_cmp (x, m) != MP_LT) \{ +085 if ((res = s_mp_sub (x, m, x)) != MP_OKAY) \{ +086 goto CLEANUP; +087 \} +088 \} +089 +090 CLEANUP: +091 mp_clear (&q); +092 +093 return res; +094 \} +095 #endif +096 \end{alltt} \end{small} The first multiplication that determines the quotient can be performed by only producing the digits from $m - 1$ and up. This essentially halves the number of single precision multiplications required. However, the optimization is only safe if $\beta$ is much larger than the number of digits -in the modulus. In the source code this is evaluated on lines 36 to 44 where algorithm s\_mp\_mul\_high\_digs is used when it is -safe to do so. +in the modulus. In the source code this is evaluated on lines 36 to 43 where algorithm s\_mp\_mul\_high\_digs is used when it is +safe to do so. \subsection{The Barrett Setup Algorithm} In order to use algorithm mp\_reduce the value of $\mu$ must be calculated in advance. Ideally this value should be computed once and stored for -future use so that the Barrett algorithm can be used without delay. +future use so that the Barrett algorithm can be used without delay. \newpage\begin{figure}[!here] \begin{small} @@ -3857,28 +5891,43 @@ is equivalent and much faster. The final value is computed by taking the intege \hspace{-5.1mm}{\bf File}: bn\_mp\_reduce\_setup.c \vspace{-3mm} \begin{alltt} +016 +017 /* pre-calculate the value required for Barrett reduction +018 * For a given modulus "b" it calulates the value required in "a" +019 */ +020 int mp_reduce_setup (mp_int * a, mp_int * b) +021 \{ +022 int res; +023 +024 if ((res = mp_2expt (a, b->used * 2 * DIGIT_BIT)) != MP_OKAY) \{ +025 return res; +026 \} +027 return mp_div (a, b, a, NULL); +028 \} +029 #endif +030 \end{alltt} \end{small} This simple routine calculates the reciprocal $\mu$ required by Barrett reduction. Note the extended usage of algorithm mp\_div where the variable -which would received the remainder is passed as NULL. As will be discussed in~\ref{sec:division} the division routine allows both the quotient and the -remainder to be passed as NULL meaning to ignore the value. +which would received the remainder is passed as NULL. As will be discussed in~\ref{sec:division} the division routine allows both the quotient and the +remainder to be passed as NULL meaning to ignore the value. \section{The Montgomery Reduction} -Montgomery reduction\footnote{Thanks to Niels Ferguson for his insightful explanation of the algorithm.} \cite{MONT} is by far the most interesting -form of reduction in common use. It computes a modular residue which is not actually equal to the residue of the input yet instead equal to a -residue times a constant. However, as perplexing as this may sound the algorithm is relatively simple and very efficient. +Montgomery reduction\footnote{Thanks to Niels Ferguson for his insightful explanation of the algorithm.} \cite{MONT} is by far the most interesting +form of reduction in common use. It computes a modular residue which is not actually equal to the residue of the input yet instead equal to a +residue times a constant. However, as perplexing as this may sound the algorithm is relatively simple and very efficient. Throughout this entire section the variable $n$ will represent the modulus used to form the residue. As will be discussed shortly the value of $n$ must be odd. The variable $x$ will represent the quantity of which the residue is sought. Similar to the Barrett algorithm the input is restricted to $0 \le x < n^2$. To begin the description some simple number theory facts must be established. \textbf{Fact 1.} Adding $n$ to $x$ does not change the residue since in effect it adds one to the quotient $\lfloor x / n \rfloor$. Another way -to explain this is that $n$ is (\textit{or multiples of $n$ are}) congruent to zero modulo $n$. Adding zero will not change the value of the residue. +to explain this is that $n$ is (\textit{or multiples of $n$ are}) congruent to zero modulo $n$. Adding zero will not change the value of the residue. \textbf{Fact 2.} If $x$ is even then performing a division by two in $\Z$ is congruent to $x \cdot 2^{-1} \mbox{ (mod }n\mbox{)}$. Actually -this is an application of the fact that if $x$ is evenly divisible by any $k \in \Z$ then division in $\Z$ will be congruent to -multiplication by $k^{-1}$ modulo $n$. +this is an application of the fact that if $x$ is evenly divisible by any $k \in \Z$ then division in $\Z$ will be congruent to +multiplication by $k^{-1}$ modulo $n$. From these two simple facts the following simple algorithm can be derived. @@ -3904,8 +5953,8 @@ From these two simple facts the following simple algorithm can be derived. The algorithm reduces the input one bit at a time using the two congruencies stated previously. Inside the loop $n$, which is odd, is added to $x$ if $x$ is odd. This forces $x$ to be even which allows the division by two in $\Z$ to be congruent to a modular division by two. Since -$x$ is assumed to be initially much larger than $n$ the addition of $n$ will contribute an insignificant magnitude to $x$. Let $r$ represent the -final result of the Montgomery algorithm. If $k > lg(n)$ and $0 \le x < n^2$ then the final result is limited to +$x$ is assumed to be initially much larger than $n$ the addition of $n$ will contribute an insignificant magnitude to $x$. Let $r$ represent the +final result of the Montgomery algorithm. If $k > lg(n)$ and $0 \le x < n^2$ then the final result is limited to $0 \le r < \lfloor x/2^k \rfloor + n$. As a result at most a single subtraction is required to get the residue desired. \begin{figure}[here] @@ -3930,12 +5979,12 @@ $0 \le r < \lfloor x/2^k \rfloor + n$. As a result at most a single subtraction \label{fig:MONT1} \end{figure} -Consider the example in figure~\ref{fig:MONT1} which reduces $x = 5555$ modulo $n = 257$ when $k = 9$ (note $\beta^k = 512$ which is larger than $n$). The result of -the algorithm $r = 178$ is congruent to the value of $2^{-9} \cdot 5555 \mbox{ (mod }257\mbox{)}$. When $r$ is multiplied by $2^9$ modulo $257$ the correct residue -$r \equiv 158$ is produced. +Consider the example in figure~\ref{fig:MONT1} which reduces $x = 5555$ modulo $n = 257$ when $k = 9$ (note $\beta^k = 512$ which is larger than $n$). The result of +the algorithm $r = 178$ is congruent to the value of $2^{-9} \cdot 5555 \mbox{ (mod }257\mbox{)}$. When $r$ is multiplied by $2^9$ modulo $257$ the correct residue +$r \equiv 158$ is produced. Let $k = \lfloor lg(n) \rfloor + 1$ represent the number of bits in $n$. The current algorithm requires $2k^2$ single precision shifts -and $k^2$ single precision additions. At this rate the algorithm is most certainly slower than Barrett reduction and not terribly useful. +and $k^2$ single precision additions. At this rate the algorithm is most certainly slower than Barrett reduction and not terribly useful. Fortunately there exists an alternative representation of the algorithm. \begin{figure}[!here] @@ -3984,10 +6033,10 @@ precision shifts has now been reduced from $2k^2$ to $k^2 + k$ which is only a s \label{fig:MONT2} \end{figure} -Figure~\ref{fig:MONT2} demonstrates the modified algorithm reducing $x = 5555$ modulo $n = 257$ with $k = 9$. -With this algorithm a single shift right at the end is the only right shift required to reduce the input instead of $k$ right shifts inside the -loop. Note that for the iterations $t = 2, 5, 6$ and $8$ where the result $x$ is not changed. In those iterations the $t$'th bit of $x$ is -zero and the appropriate multiple of $n$ does not need to be added to force the $t$'th bit of the result to zero. +Figure~\ref{fig:MONT2} demonstrates the modified algorithm reducing $x = 5555$ modulo $n = 257$ with $k = 9$. +With this algorithm a single shift right at the end is the only right shift required to reduce the input instead of $k$ right shifts inside the +loop. Note that for the iterations $t = 2, 5, 6$ and $8$ where the result $x$ is not changed. In those iterations the $t$'th bit of $x$ is +zero and the appropriate multiple of $n$ does not need to be added to force the $t$'th bit of the result to zero. \subsection{Digit Based Montgomery Reduction} Instead of computing the reduction on a bit-by-bit basis it is actually much faster to compute it on digit-by-digit basis. Consider the @@ -4011,9 +6060,9 @@ previous algorithm re-written to compute the Montgomery reduction in this new fa \caption{Algorithm Montgomery Reduction (modified II)} \end{figure} -The value $\mu n \beta^t$ is a multiple of the modulus $n$ meaning that it will not change the residue. If the first digit of +The value $\mu n \beta^t$ is a multiple of the modulus $n$ meaning that it will not change the residue. If the first digit of the value $\mu n \beta^t$ equals the negative (modulo $\beta$) of the $t$'th digit of $x$ then the addition will result in a zero digit. This -problem breaks down to solving the following congruency. +problem breaks down to solving the following congruency. \begin{center} \begin{tabular}{rcl} @@ -4023,10 +6072,10 @@ $\mu$ & $\equiv$ & $-x_t/n_0 \mbox{ (mod }\beta\mbox{)}$ \\ \end{tabular} \end{center} -In each iteration of the loop on step 1 a new value of $\mu$ must be calculated. The value of $-1/n_0 \mbox{ (mod }\beta\mbox{)}$ is used -extensively in this algorithm and should be precomputed. Let $\rho$ represent the negative of the modular inverse of $n_0$ modulo $\beta$. +In each iteration of the loop on step 1 a new value of $\mu$ must be calculated. The value of $-1/n_0 \mbox{ (mod }\beta\mbox{)}$ is used +extensively in this algorithm and should be precomputed. Let $\rho$ represent the negative of the modular inverse of $n_0$ modulo $\beta$. -For example, let $\beta = 10$ represent the radix. Let $n = 17$ represent the modulus which implies $k = 2$ and $\rho \equiv 7$. Let $x = 33$ +For example, let $\beta = 10$ represent the radix. Let $n = 17$ represent the modulus which implies $k = 2$ and $\rho \equiv 7$. Let $x = 33$ represent the value to reduce. \newpage\begin{figure} @@ -4042,14 +6091,14 @@ represent the value to reduce. \caption{Example of Montgomery Reduction} \end{figure} -The final result $900$ is then divided by $\beta^k$ to produce the final result $9$. The first observation is that $9 \nequiv x \mbox{ (mod }n\mbox{)}$ +The final result $900$ is then divided by $\beta^k$ to produce the final result $9$. The first observation is that $9 \nequiv x \mbox{ (mod }n\mbox{)}$ which implies the result is not the modular residue of $x$ modulo $n$. However, recall that the residue is actually multiplied by $\beta^{-k}$ in the algorithm. To get the true residue the value must be multiplied by $\beta^k$. In this case $\beta^k \equiv 15 \mbox{ (mod }n\mbox{)}$ and -the correct residue is $9 \cdot 15 \equiv 16 \mbox{ (mod }n\mbox{)}$. +the correct residue is $9 \cdot 15 \equiv 16 \mbox{ (mod }n\mbox{)}$. \subsection{Baseline Montgomery Reduction} -The baseline Montgomery reduction algorithm will produce the residue for any size input. It is designed to be a catch-all algororithm for -Montgomery reductions. +The baseline Montgomery reduction algorithm will produce the residue for any size input. It is designed to be a catch-all algororithm for +Montgomery reductions. \newpage\begin{figure}[!here] \begin{small} @@ -4097,9 +6146,9 @@ Divide by $\beta^k$ and fix up as required. \\ \textbf{Algorithm mp\_montgomery\_reduce.} This algorithm reduces the input $x$ modulo $n$ in place using the Montgomery reduction algorithm. The algorithm is loosely based on algorithm 14.32 of \cite[pp.601]{HAC} except it merges the multiplication of $\mu n \beta^t$ with the addition in the inner loop. The -restrictions on this algorithm are fairly easy to adapt to. First $0 \le x < n^2$ bounds the input to numbers in the same range as +restrictions on this algorithm are fairly easy to adapt to. First $0 \le x < n^2$ bounds the input to numbers in the same range as for the Barrett algorithm. Additionally if $n > 1$ and $n$ is odd there will exist a modular inverse $\rho$. $\rho$ must be calculated in -advance of this algorithm. Finally the variable $k$ is fixed and a pseudonym for $n.used$. +advance of this algorithm. Finally the variable $k$ is fixed and a pseudonym for $n.used$. Step 2 decides whether a faster Montgomery algorithm can be used. It is based on the Comba technique meaning that there are limits on the size of the input. This algorithm is discussed in sub-section 6.3.3. @@ -4108,36 +6157,135 @@ Step 5 is the main reduction loop of the algorithm. The value of $\mu$ is calcu calculates $x + \mu n \beta^{ix}$ by multiplying $\mu n$ and adding the result to $x$ shifted by $ix$ digits. Both the addition and multiplication are performed in the same loop to save time and memory. Step 5.4 will handle any additional carries that escape the inner loop. -Using a quick inspection this algorithm requires $n$ single precision multiplications for the outer loop and $n^2$ single precision multiplications +Using a quick inspection this algorithm requires $n$ single precision multiplications for the outer loop and $n^2$ single precision multiplications in the inner loop. In total $n^2 + n$ single precision multiplications which compares favourably to Barrett at $n^2 + 2n - 1$ single precision -multiplications. +multiplications. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_montgomery\_reduce.c \vspace{-3mm} \begin{alltt} +016 +017 /* computes xR**-1 == x (mod N) via Montgomery Reduction */ +018 int +019 mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) +020 \{ +021 int ix, res, digs; +022 mp_digit mu; +023 +024 /* can the fast reduction [comba] method be used? +025 * +026 * Note that unlike in mul you're safely allowed *less* +027 * than the available columns [255 per default] since carries +028 * are fixed up in the inner loop. +029 */ +030 digs = (n->used * 2) + 1; +031 if ((digs < MP_WARRAY) && +032 (n->used < +033 (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) \{ +034 return fast_mp_montgomery_reduce (x, n, rho); +035 \} +036 +037 /* grow the input as required */ +038 if (x->alloc < digs) \{ +039 if ((res = mp_grow (x, digs)) != MP_OKAY) \{ +040 return res; +041 \} +042 \} +043 x->used = digs; +044 +045 for (ix = 0; ix < n->used; ix++) \{ +046 /* mu = ai * rho mod b +047 * +048 * The value of rho must be precalculated via +049 * montgomery_setup() such that +050 * it equals -1/n0 mod b this allows the +051 * following inner loop to reduce the +052 * input one digit at a time +053 */ +054 mu = (mp_digit) (((mp_word)x->dp[ix] * (mp_word)rho) & MP_MASK); +055 +056 /* a = a + mu * m * b**i */ +057 \{ +058 int iy; +059 mp_digit *tmpn, *tmpx, u; +060 mp_word r; +061 +062 /* alias for digits of the modulus */ +063 tmpn = n->dp; +064 +065 /* alias for the digits of x [the input] */ +066 tmpx = x->dp + ix; +067 +068 /* set the carry to zero */ +069 u = 0; +070 +071 /* Multiply and add in place */ +072 for (iy = 0; iy < n->used; iy++) \{ +073 /* compute product and sum */ +074 r = ((mp_word)mu * (mp_word)*tmpn++) + +075 (mp_word) u + (mp_word) *tmpx; +076 +077 /* get carry */ +078 u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); +079 +080 /* fix digit */ +081 *tmpx++ = (mp_digit)(r & ((mp_word) MP_MASK)); +082 \} +083 /* At this point the ix'th digit of x should be zero */ +084 +085 +086 /* propagate carries upwards as required*/ +087 while (u != 0) \{ +088 *tmpx += u; +089 u = *tmpx >> DIGIT_BIT; +090 *tmpx++ &= MP_MASK; +091 \} +092 \} +093 \} +094 +095 /* at this point the n.used'th least +096 * significant digits of x are all zero +097 * which means we can shift x to the +098 * right by n.used digits and the +099 * residue is unchanged. +100 */ +101 +102 /* x = x/b**n.used */ +103 mp_clamp(x); +104 mp_rshd (x, n->used); +105 +106 /* if x >= n then x = x - n */ +107 if (mp_cmp_mag (x, n) != MP_LT) \{ +108 return s_mp_sub (x, n, x); +109 \} +110 +111 return MP_OKAY; +112 \} +113 #endif +114 \end{alltt} \end{small} -This is the baseline implementation of the Montgomery reduction algorithm. Lines 31 to 36 determine if the Comba based -routine can be used instead. Line 47 computes the value of $\mu$ for that particular iteration of the outer loop. +This is the baseline implementation of the Montgomery reduction algorithm. Lines 30 to 35 determine if the Comba based +routine can be used instead. Line 48 computes the value of $\mu$ for that particular iteration of the outer loop. The multiplication $\mu n \beta^{ix}$ is performed in one step in the inner loop. The alias $tmpx$ refers to the $ix$'th digit of $x$ and -the alias $tmpn$ refers to the modulus $n$. +the alias $tmpn$ refers to the modulus $n$. \subsection{Faster ``Comba'' Montgomery Reduction} The Montgomery reduction requires fewer single precision multiplications than a Barrett reduction, however it is much slower due to the serial nature of the inner loop. The Barrett reduction algorithm requires two slightly modified multipliers which can be implemented with the Comba technique. The Montgomery reduction algorithm cannot directly use the Comba technique to any significant advantage since the inner loop calculates -a $k \times 1$ product $k$ times. +a $k \times 1$ product $k$ times. -The biggest obstacle is that at the $ix$'th iteration of the outer loop the value of $x_{ix}$ is required to calculate $\mu$. This means the -carries from $0$ to $ix - 1$ must have been propagated upwards to form a valid $ix$'th digit. The solution as it turns out is very simple. -Perform a Comba like multiplier and inside the outer loop just after the inner loop fix up the $ix + 1$'th digit by forwarding the carry. +The biggest obstacle is that at the $ix$'th iteration of the outer loop the value of $x_{ix}$ is required to calculate $\mu$. This means the +carries from $0$ to $ix - 1$ must have been propagated upwards to form a valid $ix$'th digit. The solution as it turns out is very simple. +Perform a Comba like multiplier and inside the outer loop just after the inner loop fix up the $ix + 1$'th digit by forwarding the carry. With this change in place the Montgomery reduction algorithm can be performed with a Comba style multiplication loop which substantially increases -the speed of the algorithm. +the speed of the algorithm. \newpage\begin{figure}[!here] \begin{small} @@ -4186,9 +6334,9 @@ Zero excess digits and fixup $x$. \\ \textbf{Algorithm fast\_mp\_montgomery\_reduce.} This algorithm will compute the Montgomery reduction of $x$ modulo $n$ using the Comba technique. It is on most computer platforms significantly faster than algorithm mp\_montgomery\_reduce and algorithm mp\_reduce (\textit{Barrett reduction}). The algorithm has the same restrictions -on the input as the baseline reduction algorithm. An additional two restrictions are imposed on this algorithm. The number of digits $k$ in the +on the input as the baseline reduction algorithm. An additional two restrictions are imposed on this algorithm. The number of digits $k$ in the the modulus $n$ must not violate $MP\_WARRAY > 2k +1$ and $n < \delta$. When $\beta = 2^{28}$ this algorithm can be used to reduce modulo -a modulus of at most $3,556$ bits in length. +a modulus of at most $3,556$ bits in length. As in the other Comba reduction algorithms there is a $\hat W$ array which stores the columns of the product. It is initially filled with the contents of $x$ with the excess digits zeroed. The reduction loop is very similar the to the baseline loop at heart. The multiplication on step @@ -4202,28 +6350,181 @@ how the upper bits of those same words are not reduced modulo $\beta$. This is point. Step 5 will propagate the remainder of the carries upwards. On step 6 the columns are reduced modulo $\beta$ and shifted simultaneously as they are -stored in the destination $x$. +stored in the destination $x$. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_fast\_mp\_montgomery\_reduce.c \vspace{-3mm} \begin{alltt} +016 +017 /* computes xR**-1 == x (mod N) via Montgomery Reduction +018 * +019 * This is an optimized implementation of montgomery_reduce +020 * which uses the comba method to quickly calculate the columns of the +021 * reduction. +022 * +023 * Based on Algorithm 14.32 on pp.601 of HAC. +024 */ +025 int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) +026 \{ +027 int ix, res, olduse; +028 mp_word W[MP_WARRAY]; +029 +030 /* get old used count */ +031 olduse = x->used; +032 +033 /* grow a as required */ +034 if (x->alloc < (n->used + 1)) \{ +035 if ((res = mp_grow (x, n->used + 1)) != MP_OKAY) \{ +036 return res; +037 \} +038 \} +039 +040 /* first we have to get the digits of the input into +041 * an array of double precision words W[...] +042 */ +043 \{ +044 mp_word *_W; +045 mp_digit *tmpx; +046 +047 /* alias for the W[] array */ +048 _W = W; +049 +050 /* alias for the digits of x*/ +051 tmpx = x->dp; +052 +053 /* copy the digits of a into W[0..a->used-1] */ +054 for (ix = 0; ix < x->used; ix++) \{ +055 *_W++ = *tmpx++; +056 \} +057 +058 /* zero the high words of W[a->used..m->used*2] */ +059 for (; ix < ((n->used * 2) + 1); ix++) \{ +060 *_W++ = 0; +061 \} +062 \} +063 +064 /* now we proceed to zero successive digits +065 * from the least significant upwards +066 */ +067 for (ix = 0; ix < n->used; ix++) \{ +068 /* mu = ai * m' mod b +069 * +070 * We avoid a double precision multiplication (which isn't required) +071 * by casting the value down to a mp_digit. Note this requires +072 * that W[ix-1] have the carry cleared (see after the inner loop) +073 */ +074 mp_digit mu; +075 mu = (mp_digit) (((W[ix] & MP_MASK) * rho) & MP_MASK); +076 +077 /* a = a + mu * m * b**i +078 * +079 * This is computed in place and on the fly. The multiplication +080 * by b**i is handled by offseting which columns the results +081 * are added to. +082 * +083 * Note the comba method normally doesn't handle carries in the +084 * inner loop In this case we fix the carry from the previous +085 * column since the Montgomery reduction requires digits of the +086 * result (so far) [see above] to work. This is +087 * handled by fixing up one carry after the inner loop. The +088 * carry fixups are done in order so after these loops the +089 * first m->used words of W[] have the carries fixed +090 */ +091 \{ +092 int iy; +093 mp_digit *tmpn; +094 mp_word *_W; +095 +096 /* alias for the digits of the modulus */ +097 tmpn = n->dp; +098 +099 /* Alias for the columns set by an offset of ix */ +100 _W = W + ix; +101 +102 /* inner loop */ +103 for (iy = 0; iy < n->used; iy++) \{ +104 *_W++ += ((mp_word)mu) * ((mp_word)*tmpn++); +105 \} +106 \} +107 +108 /* now fix carry for next digit, W[ix+1] */ +109 W[ix + 1] += W[ix] >> ((mp_word) DIGIT_BIT); +110 \} +111 +112 /* now we have to propagate the carries and +113 * shift the words downward [all those least +114 * significant digits we zeroed]. +115 */ +116 \{ +117 mp_digit *tmpx; +118 mp_word *_W, *_W1; +119 +120 /* nox fix rest of carries */ +121 +122 /* alias for current word */ +123 _W1 = W + ix; +124 +125 /* alias for next word, where the carry goes */ +126 _W = W + ++ix; +127 +128 for (; ix <= ((n->used * 2) + 1); ix++) \{ +129 *_W++ += *_W1++ >> ((mp_word) DIGIT_BIT); +130 \} +131 +132 /* copy out, A = A/b**n +133 * +134 * The result is A/b**n but instead of converting from an +135 * array of mp_word to mp_digit than calling mp_rshd +136 * we just copy them in the right order +137 */ +138 +139 /* alias for destination word */ +140 tmpx = x->dp; +141 +142 /* alias for shifted double precision result */ +143 _W = W + n->used; +144 +145 for (ix = 0; ix < (n->used + 1); ix++) \{ +146 *tmpx++ = (mp_digit)(*_W++ & ((mp_word) MP_MASK)); +147 \} +148 +149 /* zero oldused digits, if the input a was larger than +150 * m->used+1 we'll have to clear the digits +151 */ +152 for (; ix < olduse; ix++) \{ +153 *tmpx++ = 0; +154 \} +155 \} +156 +157 /* set the max used and clamp */ +158 x->used = n->used + 1; +159 mp_clamp (x); +160 +161 /* if A >= m then A = A - m */ +162 if (mp_cmp_mag (x, n) != MP_LT) \{ +163 return s_mp_sub (x, n, x); +164 \} +165 return MP_OKAY; +166 \} +167 #endif +168 \end{alltt} \end{small} -The $\hat W$ array is first filled with digits of $x$ on line 48 then the rest of the digits are zeroed on line 55. Both loops share -the same alias variables to make the code easier to read. +The $\hat W$ array is first filled with digits of $x$ on line 50 then the rest of the digits are zeroed on line 54. Both loops share +the same alias variables to make the code easier to read. The value of $\mu$ is calculated in an interesting fashion. First the value $\hat W_{ix}$ is reduced modulo $\beta$ and cast to a mp\_digit. This -forces the compiler to use a single precision multiplication and prevents any concerns about loss of precision. Line 110 fixes the carry +forces the compiler to use a single precision multiplication and prevents any concerns about loss of precision. Line 109 fixes the carry for the next iteration of the loop by propagating the carry from $\hat W_{ix}$ to $\hat W_{ix+1}$. -The for loop on line 109 propagates the rest of the carries upwards through the columns. The for loop on line 126 reduces the columns +The for loop on line 108 propagates the rest of the carries upwards through the columns. The for loop on line 125 reduces the columns modulo $\beta$ and shifts them $k$ places at the same time. The alias $\_ \hat W$ actually refers to the array $\hat W$ starting at the $n.used$'th -digit, that is $\_ \hat W_{t} = \hat W_{n.used + t}$. +digit, that is $\_ \hat W_{t} = \hat W_{n.used + t}$. \subsection{Montgomery Setup} -To calculate the variable $\rho$ a relatively simple algorithm will be required. +To calculate the variable $\rho$ a relatively simple algorithm will be required. \begin{figure}[!here] \begin{small} @@ -4244,22 +6545,62 @@ To calculate the variable $\rho$ a relatively simple algorithm will be required. \end{tabular} \end{center} \end{small} -\caption{Algorithm mp\_montgomery\_setup} +\caption{Algorithm mp\_montgomery\_setup} \end{figure} \textbf{Algorithm mp\_montgomery\_setup.} -This algorithm will calculate the value of $\rho$ required within the Montgomery reduction algorithms. It uses a very interesting trick -to calculate $1/n_0$ when $\beta$ is a power of two. +This algorithm will calculate the value of $\rho$ required within the Montgomery reduction algorithms. It uses a very interesting trick +to calculate $1/n_0$ when $\beta$ is a power of two. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_montgomery\_setup.c \vspace{-3mm} \begin{alltt} +016 +017 /* setups the montgomery reduction stuff */ +018 int +019 mp_montgomery_setup (mp_int * n, mp_digit * rho) +020 \{ +021 mp_digit x, b; +022 +023 /* fast inversion mod 2**k +024 * +025 * Based on the fact that +026 * +027 * XA = 1 (mod 2**n) => (X(2-XA)) A = 1 (mod 2**2n) +028 * => 2*X*A - X*X*A*A = 1 +029 * => 2*(1) - (1) = 1 +030 */ +031 b = n->dp[0]; +032 +033 if ((b & 1) == 0) \{ +034 return MP_VAL; +035 \} +036 +037 x = (((b + 2) & 4) << 1) + b; /* here x*a==1 mod 2**4 */ +038 x *= 2 - (b * x); /* here x*a==1 mod 2**8 */ +039 #if !defined(MP_8BIT) +040 x *= 2 - (b * x); /* here x*a==1 mod 2**16 */ +041 #endif +042 #if defined(MP_64BIT) || !(defined(MP_8BIT) || defined(MP_16BIT)) +043 x *= 2 - (b * x); /* here x*a==1 mod 2**32 */ +044 #endif +045 #ifdef MP_64BIT +046 x *= 2 - (b * x); /* here x*a==1 mod 2**64 */ +047 #endif +048 +049 /* rho = -1/m mod b */ +050 *rho = (mp_digit)(((mp_word)1 << ((mp_word) DIGIT_BIT)) - x) & MP_MASK; +051 +052 return MP_OKAY; +053 \} +054 #endif +055 \end{alltt} \end{small} This source code computes the value of $\rho$ required to perform Montgomery reduction. It has been modified to avoid performing excess -multiplications when $\beta$ is not the default 28-bits. +multiplications when $\beta$ is not the default 28-bits. \section{The Diminished Radix Algorithm} The Diminished Radix method of modular reduction \cite{DRMET} is a fairly clever technique which can be more efficient than either the Barrett @@ -4269,7 +6610,7 @@ or Montgomery methods for certain forms of moduli. The technique is based on th (x \mbox{ mod } n) + k \lfloor x / n \rfloor \equiv x \mbox{ (mod }(n - k)\mbox{)} \end{equation} -This observation was used in the MMB \cite{MMB} block cipher to create a diffusion primitive. It used the fact that if $n = 2^{31}$ and $k=1$ that +This observation was used in the MMB \cite{MMB} block cipher to create a diffusion primitive. It used the fact that if $n = 2^{31}$ and $k=1$ that then a x86 multiplier could produce the 62-bit product and use the ``shrd'' instruction to perform a double-precision right shift. The proof of the above equation is very simple. First write $x$ in the product form. @@ -4283,7 +6624,7 @@ Now reduce both sides modulo $(n - k)$. x \equiv qk + r \mbox{ (mod }(n-k)\mbox{)} \end{equation} -The variable $n$ reduces modulo $n - k$ to $k$. By putting $q = \lfloor x/n \rfloor$ and $r = x \mbox{ mod } n$ +The variable $n$ reduces modulo $n - k$ to $k$. By putting $q = \lfloor x/n \rfloor$ and $r = x \mbox{ mod } n$ into the equation the original congruence is reproduced, thus concluding the proof. The following algorithm is based on this observation. \begin{figure}[!here] @@ -4313,7 +6654,7 @@ into the equation the original congruence is reproduced, thus concluding the pro This algorithm will reduce $x$ modulo $n - k$ and return the residue. If $0 \le x < (n - k)^2$ then the algorithm will loop almost always once or twice and occasionally three times. For simplicity sake the value of $x$ is bounded by the following simple polynomial. -\begin{equation} +\begin{equation} 0 \le x < n^2 + k^2 - 2nk \end{equation} @@ -4324,15 +6665,15 @@ q < n - 2k - k^2/n \end{equation} Since $k^2$ is going to be considerably smaller than $n$ that term will always be zero. The value of $x$ after step 3 is bounded trivially as -$0 \le x < n$. By step four the sum $x + q$ is bounded by +$0 \le x < n$. By step four the sum $x + q$ is bounded by \begin{equation} 0 \le q + x < (k + 1)n - 2k^2 - 1 \end{equation} With a second pass $q$ will be loosely bounded by $0 \le q < k^2$ after step 2 while $x$ will still be loosely bounded by $0 \le x < n$ after step 3. After the second pass it is highly unlike that the -sum in step 4 will exceed $n - k$. In practice fewer than three passes of the algorithm are required to reduce virtually every input in the -range $0 \le x < (n - k - 1)^2$. +sum in step 4 will exceed $n - k$. In practice fewer than three passes of the algorithm are required to reduce virtually every input in the +range $0 \le x < (n - k - 1)^2$. \begin{figure} \begin{small} @@ -4345,13 +6686,13 @@ $q \leftarrow q*k = 1446759$ \\ $x \leftarrow x \mbox{ mod } n = 21$ \\ $x \leftarrow x + q = 1446780$ \\ $x \leftarrow x - (n - k) = 1446527$ \\ -\hline +\hline $q \leftarrow \lfloor x/n \rfloor = 5650$ \\ $q \leftarrow q*k = 16950$ \\ $x \leftarrow x \mbox{ mod } n = 127$ \\ $x \leftarrow x + q = 17077$ \\ $x \leftarrow x - (n - k) = 16824$ \\ -\hline +\hline $q \leftarrow \lfloor x/n \rfloor = 65$ \\ $q \leftarrow q*k = 195$ \\ $x \leftarrow x \mbox{ mod } n = 184$ \\ @@ -4374,29 +6715,29 @@ three passes were required to find the residue $x \equiv 126$. On the surface this algorithm looks like a very expensive algorithm. It requires a couple of subtractions followed by multiplication and other modular reductions. The usefulness of this algorithm becomes exceedingly clear when an appropriate modulus is chosen. -Division in general is a very expensive operation to perform. The one exception is when the division is by a power of the radix of representation used. -Division by ten for example is simple for pencil and paper mathematics since it amounts to shifting the decimal place to the right. Similarly division -by two (\textit{or powers of two}) is very simple for binary computers to perform. It would therefore seem logical to choose $n$ of the form $2^p$ -which would imply that $\lfloor x / n \rfloor$ is a simple shift of $x$ right $p$ bits. +Division in general is a very expensive operation to perform. The one exception is when the division is by a power of the radix of representation used. +Division by ten for example is simple for pencil and paper mathematics since it amounts to shifting the decimal place to the right. Similarly division +by two (\textit{or powers of two}) is very simple for binary computers to perform. It would therefore seem logical to choose $n$ of the form $2^p$ +which would imply that $\lfloor x / n \rfloor$ is a simple shift of $x$ right $p$ bits. -However, there is one operation related to division of power of twos that is even faster than this. If $n = \beta^p$ then the division may be -performed by moving whole digits to the right $p$ places. In practice division by $\beta^p$ is much faster than division by $2^p$ for any $p$. -Also with the choice of $n = \beta^p$ reducing $x$ modulo $n$ merely requires zeroing the digits above the $p-1$'th digit of $x$. +However, there is one operation related to division of power of twos that is even faster than this. If $n = \beta^p$ then the division may be +performed by moving whole digits to the right $p$ places. In practice division by $\beta^p$ is much faster than division by $2^p$ for any $p$. +Also with the choice of $n = \beta^p$ reducing $x$ modulo $n$ merely requires zeroing the digits above the $p-1$'th digit of $x$. Throughout the next section the term ``restricted modulus'' will refer to a modulus of the form $\beta^p - k$ whereas the term ``unrestricted -modulus'' will refer to a modulus of the form $2^p - k$. The word ``restricted'' in this case refers to the fact that it is based on the -$2^p$ logic except $p$ must be a multiple of $lg(\beta)$. +modulus'' will refer to a modulus of the form $2^p - k$. The word ``restricted'' in this case refers to the fact that it is based on the +$2^p$ logic except $p$ must be a multiple of $lg(\beta)$. \subsection{Choice of $k$} Now that division and reduction (\textit{step 1 and 3 of figure~\ref{fig:DR}}) have been optimized to simple digit operations the multiplication by $k$ in step 2 is the most expensive operation. Fortunately the choice of $k$ is not terribly limited. For all intents and purposes it might -as well be a single digit. The smaller the value of $k$ is the faster the algorithm will be. +as well be a single digit. The smaller the value of $k$ is the faster the algorithm will be. \subsection{Restricted Diminished Radix Reduction} -The restricted Diminished Radix algorithm can quickly reduce an input modulo a modulus of the form $n = \beta^p - k$. This algorithm can reduce +The restricted Diminished Radix algorithm can quickly reduce an input modulo a modulus of the form $n = \beta^p - k$. This algorithm can reduce an input $x$ within the range $0 \le x < n^2$ using only a couple passes of the algorithm demonstrated in figure~\ref{fig:DR}. The implementation -of this algorithm has been optimized to avoid additional overhead associated with a division by $\beta^p$, the multiplication by $k$ or the addition -of $x$ and $q$. The resulting algorithm is very efficient and can lead to substantial improvements over Barrett and Montgomery reduction when modular +of this algorithm has been optimized to avoid additional overhead associated with a division by $\beta^p$, the multiplication by $k$ or the addition +of $x$ and $q$. The resulting algorithm is very efficient and can lead to substantial improvements over Barrett and Montgomery reduction when modular exponentiations are performed. \newpage\begin{figure}[!here] @@ -4432,37 +6773,114 @@ exponentiations are performed. \textbf{Algorithm mp\_dr\_reduce.} This algorithm will perform the Dimished Radix reduction of $x$ modulo $n$. It has similar restrictions to that of the Barrett reduction -with the addition that $n$ must be of the form $n = \beta^m - k$ where $0 < k <\beta$. +with the addition that $n$ must be of the form $n = \beta^m - k$ where $0 < k <\beta$. This algorithm essentially implements the pseudo-code in figure~\ref{fig:DR} except with a slight optimization. The division by $\beta^m$, multiplication by $k$ and addition of $x \mbox{ mod }\beta^m$ are all performed simultaneously inside the loop on step 4. The division by $\beta^m$ is emulated by accessing the term at the $m+i$'th position which is subsequently multiplied by $k$ and added to the term at the $i$'th position. After the loop the $m$'th -digit is set to the carry and the upper digits are zeroed. Steps 5 and 6 emulate the reduction modulo $\beta^m$ that should have happend to -$x$ before the addition of the multiple of the upper half. +digit is set to the carry and the upper digits are zeroed. Steps 5 and 6 emulate the reduction modulo $\beta^m$ that should have happend to +$x$ before the addition of the multiple of the upper half. At step 8 if $x$ is still larger than $n$ another pass of the algorithm is required. First $n$ is subtracted from $x$ and then the algorithm resumes -at step 3. +at step 3. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_dr\_reduce.c \vspace{-3mm} \begin{alltt} +016 +017 /* reduce "x" in place modulo "n" using the Diminished Radix algorithm. +018 * +019 * Based on algorithm from the paper +020 * +021 * "Generating Efficient Primes for Discrete Log Cryptosystems" +022 * Chae Hoon Lim, Pil Joong Lee, +023 * POSTECH Information Research Laboratories +024 * +025 * The modulus must be of a special format [see manual] +026 * +027 * Has been modified to use algorithm 7.10 from the LTM book instead +028 * +029 * Input x must be in the range 0 <= x <= (n-1)**2 +030 */ +031 int +032 mp_dr_reduce (mp_int * x, mp_int * n, mp_digit k) +033 \{ +034 int err, i, m; +035 mp_word r; +036 mp_digit mu, *tmpx1, *tmpx2; +037 +038 /* m = digits in modulus */ +039 m = n->used; +040 +041 /* ensure that "x" has at least 2m digits */ +042 if (x->alloc < (m + m)) \{ +043 if ((err = mp_grow (x, m + m)) != MP_OKAY) \{ +044 return err; +045 \} +046 \} +047 +048 /* top of loop, this is where the code resumes if +049 * another reduction pass is required. +050 */ +051 top: +052 /* aliases for digits */ +053 /* alias for lower half of x */ +054 tmpx1 = x->dp; +055 +056 /* alias for upper half of x, or x/B**m */ +057 tmpx2 = x->dp + m; +058 +059 /* set carry to zero */ +060 mu = 0; +061 +062 /* compute (x mod B**m) + k * [x/B**m] inline and inplace */ +063 for (i = 0; i < m; i++) \{ +064 r = (((mp_word)*tmpx2++) * (mp_word)k) + *tmpx1 + mu; +065 *tmpx1++ = (mp_digit)(r & MP_MASK); +066 mu = (mp_digit)(r >> ((mp_word)DIGIT_BIT)); +067 \} +068 +069 /* set final carry */ +070 *tmpx1++ = mu; +071 +072 /* zero words above m */ +073 for (i = m + 1; i < x->used; i++) \{ +074 *tmpx1++ = 0; +075 \} +076 +077 /* clamp, sub and return */ +078 mp_clamp (x); +079 +080 /* if x >= n then subtract and reduce again +081 * Each successive "recursion" makes the input smaller and smaller. +082 */ +083 if (mp_cmp_mag (x, n) != MP_LT) \{ +084 if ((err = s_mp_sub(x, n, x)) != MP_OKAY) \{ +085 return err; +086 \} +087 goto top; +088 \} +089 return MP_OKAY; +090 \} +091 #endif +092 \end{alltt} \end{small} -The first step is to grow $x$ as required to $2m$ digits since the reduction is performed in place on $x$. The label on line 52 is where +The first step is to grow $x$ as required to $2m$ digits since the reduction is performed in place on $x$. The label on line 51 is where the algorithm will resume if further reduction passes are required. In theory it could be placed at the top of the function however, the size of -the modulus and question of whether $x$ is large enough are invariant after the first pass meaning that it would be a waste of time. +the modulus and question of whether $x$ is large enough are invariant after the first pass meaning that it would be a waste of time. The aliases $tmpx1$ and $tmpx2$ refer to the digits of $x$ where the latter is offset by $m$ digits. By reading digits from $x$ offset by $m$ digits -a division by $\beta^m$ can be simulated virtually for free. The loop on line 64 performs the bulk of the work (\textit{corresponds to step 4 of algorithm 7.11}) +a division by $\beta^m$ can be simulated virtually for free. The loop on line 63 performs the bulk of the work (\textit{corresponds to step 4 of algorithm 7.11}) in this algorithm. -By line 67 the pointer $tmpx1$ points to the $m$'th digit of $x$ which is where the final carry will be placed. Similarly by line 74 the -same pointer will point to the $m+1$'th digit where the zeroes will be placed. +By line 70 the pointer $tmpx1$ points to the $m$'th digit of $x$ which is where the final carry will be placed. Similarly by line 73 the +same pointer will point to the $m+1$'th digit where the zeroes will be placed. -Since the algorithm is only valid if both $x$ and $n$ are greater than zero an unsigned comparison suffices to determine if another pass is required. -With the same logic at line 81 the value of $x$ is known to be greater than or equal to $n$ meaning that an unsigned subtraction can be used +Since the algorithm is only valid if both $x$ and $n$ are greater than zero an unsigned comparison suffices to determine if another pass is required. +With the same logic at line 84 the value of $x$ is known to be greater than or equal to $n$ meaning that an unsigned subtraction can be used as well. Since the destination of the subtraction is the larger of the inputs the call to algorithm s\_mp\_sub cannot fail and the return code does not need to be checked. @@ -4490,6 +6908,19 @@ completeness. \hspace{-5.1mm}{\bf File}: bn\_mp\_dr\_setup.c \vspace{-3mm} \begin{alltt} +016 +017 /* determines the setup value */ +018 void mp_dr_setup(mp_int *a, mp_digit *d) +019 \{ +020 /* the casts are required if DIGIT_BIT is one less than +021 * the number of bits in a mp_digit [e.g. DIGIT_BIT==31] +022 */ +023 *d = (mp_digit)((((mp_word)1) << ((mp_word)DIGIT_BIT)) - +024 ((mp_word)a->dp[0])); +025 \} +026 +027 #endif +028 \end{alltt} \end{small} @@ -4525,6 +6956,30 @@ step 3 then $n$ must be of Diminished Radix form. \hspace{-5.1mm}{\bf File}: bn\_mp\_dr\_is\_modulus.c \vspace{-3mm} \begin{alltt} +016 +017 /* determines if a number is a valid DR modulus */ +018 int mp_dr_is_modulus(mp_int *a) +019 \{ +020 int ix; +021 +022 /* must be at least two digits */ +023 if (a->used < 2) \{ +024 return 0; +025 \} +026 +027 /* must be of the form b**k - a [a <= b] so all +028 * but the first digit must be equal to -1 (mod b). +029 */ +030 for (ix = 1; ix < a->used; ix++) \{ +031 if (a->dp[ix] != MP_MASK) \{ +032 return 0; +033 \} +034 \} +035 return 1; +036 \} +037 +038 #endif +039 \end{alltt} \end{small} @@ -4562,25 +7017,69 @@ algorithm is much faster than either Montgomery or Barrett reduction when the mo \textbf{Algorithm mp\_reduce\_2k.} This algorithm quickly reduces an input $a$ modulo an unrestricted Diminished Radix modulus $n$. Division by $2^p$ is emulated with a right -shift which makes the algorithm fairly inexpensive to use. +shift which makes the algorithm fairly inexpensive to use. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_reduce\_2k.c \vspace{-3mm} \begin{alltt} +016 +017 /* reduces a modulo n where n is of the form 2**p - d */ +018 int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d) +019 \{ +020 mp_int q; +021 int p, res; +022 +023 if ((res = mp_init(&q)) != MP_OKAY) \{ +024 return res; +025 \} +026 +027 p = mp_count_bits(n); +028 top: +029 /* q = a/2**p, a = a mod 2**p */ +030 if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) \{ +031 goto ERR; +032 \} +033 +034 if (d != 1) \{ +035 /* q = q * d */ +036 if ((res = mp_mul_d(&q, d, &q)) != MP_OKAY) \{ +037 goto ERR; +038 \} +039 \} +040 +041 /* a = a + q */ +042 if ((res = s_mp_add(a, &q, a)) != MP_OKAY) \{ +043 goto ERR; +044 \} +045 +046 if (mp_cmp_mag(a, n) != MP_LT) \{ +047 if ((res = s_mp_sub(a, n, a)) != MP_OKAY) \{ +048 goto ERR; +049 \} +050 goto top; +051 \} +052 +053 ERR: +054 mp_clear(&q); +055 return res; +056 \} +057 +058 #endif +059 \end{alltt} \end{small} The algorithm mp\_count\_bits calculates the number of bits in an mp\_int which is used to find the initial value of $p$. The call to mp\_div\_2d -on line 31 calculates both the quotient $q$ and the remainder $a$ required. By doing both in a single function call the code size +on line 30 calculates both the quotient $q$ and the remainder $a$ required. By doing both in a single function call the code size is kept fairly small. The multiplication by $k$ is only performed if $k > 1$. This allows reductions modulo $2^p - 1$ to be performed without -any multiplications. +any multiplications. -The unsigned s\_mp\_add, mp\_cmp\_mag and s\_mp\_sub are used in place of their full sign counterparts since the inputs are only valid if they are -positive. By using the unsigned versions the overhead is kept to a minimum. +The unsigned s\_mp\_add, mp\_cmp\_mag and s\_mp\_sub are used in place of their full sign counterparts since the inputs are only valid if they are +positive. By using the unsigned versions the overhead is kept to a minimum. \subsubsection{Unrestricted Setup} -To setup this reduction algorithm the value of $k = 2^p - n$ is required. +To setup this reduction algorithm the value of $k = 2^p - n$ is required. \begin{figure}[!here] \begin{small} @@ -4604,12 +7103,40 @@ To setup this reduction algorithm the value of $k = 2^p - n$ is required. \textbf{Algorithm mp\_reduce\_2k\_setup.} This algorithm computes the value of $k$ required for the algorithm mp\_reduce\_2k. By making a temporary variable $x$ equal to $2^p$ a subtraction -is sufficient to solve for $k$. Alternatively if $n$ has more than one digit the value of $k$ is simply $\beta - n_0$. +is sufficient to solve for $k$. Alternatively if $n$ has more than one digit the value of $k$ is simply $\beta - n_0$. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_reduce\_2k\_setup.c \vspace{-3mm} \begin{alltt} +016 +017 /* determines the setup value */ +018 int mp_reduce_2k_setup(mp_int *a, mp_digit *d) +019 \{ +020 int res, p; +021 mp_int tmp; +022 +023 if ((res = mp_init(&tmp)) != MP_OKAY) \{ +024 return res; +025 \} +026 +027 p = mp_count_bits(a); +028 if ((res = mp_2expt(&tmp, p)) != MP_OKAY) \{ +029 mp_clear(&tmp); +030 return res; +031 \} +032 +033 if ((res = s_mp_sub(&tmp, a, &tmp)) != MP_OKAY) \{ +034 mp_clear(&tmp); +035 return res; +036 \} +037 +038 *d = tmp.dp[0]; +039 mp_clear(&tmp); +040 return MP_OKAY; +041 \} +042 #endif +043 \end{alltt} \end{small} @@ -4648,12 +7175,45 @@ significant bit. The resulting sum will be a power of two. \end{figure} \textbf{Algorithm mp\_reduce\_is\_2k.} -This algorithm quickly determines if a modulus is of the form required for algorithm mp\_reduce\_2k to function properly. +This algorithm quickly determines if a modulus is of the form required for algorithm mp\_reduce\_2k to function properly. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_reduce\_is\_2k.c \vspace{-3mm} \begin{alltt} +016 +017 /* determines if mp_reduce_2k can be used */ +018 int mp_reduce_is_2k(mp_int *a) +019 \{ +020 int ix, iy, iw; +021 mp_digit iz; +022 +023 if (a->used == 0) \{ +024 return MP_NO; +025 \} else if (a->used == 1) \{ +026 return MP_YES; +027 \} else if (a->used > 1) \{ +028 iy = mp_count_bits(a); +029 iz = 1; +030 iw = 1; +031 +032 /* Test every bit from the second digit up, must be 1 */ +033 for (ix = DIGIT_BIT; ix < iy; ix++) \{ +034 if ((a->dp[iw] & iz) == 0) \{ +035 return MP_NO; +036 \} +037 iz <<= 1; +038 if (iz > (mp_digit)MP_MASK) \{ +039 ++iw; +040 iz = 1; +041 \} +042 \} +043 \} +044 return MP_YES; +045 \} +046 +047 #endif +048 \end{alltt} \end{small} @@ -4662,7 +7222,7 @@ This algorithm quickly determines if a modulus is of the form required for algor \section{Algorithm Comparison} So far three very different algorithms for modular reduction have been discussed. Each of the algorithms have their own strengths and weaknesses that makes having such a selection very useful. The following table sumarizes the three algorithms along with comparisons of work factors. Since -all three algorithms have the restriction that $0 \le x < n^2$ and $n > 1$ those limitations are not included in the table. +all three algorithms have the restriction that $0 \le x < n^2$ and $n > 1$ those limitations are not included in the table. \begin{center} \begin{small} @@ -4698,12 +7258,12 @@ $\left [ 4 \right ]$ & Prove that the pseudo-code algorithm ``Diminished Radix R & (\textit{figure~\ref{fig:DR}}) terminates. Also prove the probability that it will \\ & terminate within $1 \le k \le 10$ iterations. \\ & \\ -\end{tabular} +\end{tabular} \chapter{Exponentiation} Exponentiation is the operation of raising one variable to the power of another, for example, $a^b$. A variant of exponentiation, computed -in a finite field or ring, is called modular exponentiation. This latter style of operation is typically used in public key +in a finite field or ring, is called modular exponentiation. This latter style of operation is typically used in public key cryptosystems such as RSA and Diffie-Hellman. The ability to quickly compute modular exponentiations is of great benefit to any such cryptosystem and many methods have been sought to speed it up. @@ -4713,7 +7273,7 @@ the number of multiplications becomes prohibitive. Imagine what would happen if with a $1024$-bit key. Such a calculation could never be completed as it would take simply far too long. Fortunately there is a very simple algorithm based on the laws of exponents. Recall that $lg_a(a^b) = b$ and that $lg_a(a^ba^c) = b + c$ which -are two trivial relationships between the base and the exponent. Let $b_i$ represent the $i$'th bit of $b$ starting from the least +are two trivial relationships between the base and the exponent. Let $b_i$ represent the $i$'th bit of $b$ starting from the least significant bit. If $b$ is a $k$-bit integer than the following equation is true. \begin{equation} @@ -4730,7 +7290,7 @@ The term $a^{2^i}$ can be found from the $i - 1$'th term by squaring the term si $a^{2^{i+1}}$. This observation forms the basis of essentially all fast exponentiation algorithms. It requires $k$ squarings and on average $k \over 2$ multiplications to compute the result. This is indeed quite an improvement over simply multiplying by $a$ a total of $b-1$ times. -While this current method is a considerable speed up there are further improvements to be made. For example, the $a^{2^i}$ term does not need to +While this current method is a considerable speed up there are further improvements to be made. For example, the $a^{2^i}$ term does not need to be computed in an auxilary variable. Consider the following equivalent algorithm. \begin{figure}[!here] @@ -4756,7 +7316,7 @@ be computed in an auxilary variable. Consider the following equivalent algorith This algorithm starts from the most significant bit and works towards the least significant bit. When the $i$'th bit of $b$ is set $a$ is multiplied against the current product. In each iteration the product is squared which doubles the exponent of the individual terms of the -product. +product. For example, let $b = 101100_2 \equiv 44_{10}$. The following chart demonstrates the actions of the algorithm. @@ -4777,13 +7337,13 @@ For example, let $b = 101100_2 \equiv 44_{10}$. The following chart demonstrate \caption{Example of Left to Right Exponentiation} \end{figure} -When the product $a^{32} \cdot a^8 \cdot a^4$ is simplified it is equal $a^{44}$ which is the desired exponentiation. This particular algorithm is -called ``Left to Right'' because it reads the exponent in that order. All of the exponentiation algorithms that will be presented are of this nature. +When the product $a^{32} \cdot a^8 \cdot a^4$ is simplified it is equal $a^{44}$ which is the desired exponentiation. This particular algorithm is +called ``Left to Right'' because it reads the exponent in that order. All of the exponentiation algorithms that will be presented are of this nature. \subsection{Single Digit Exponentiation} -The first algorithm in the series of exponentiation algorithms will be an unbounded algorithm where the exponent is a single digit. It is intended -to be used when a small power of an input is required (\textit{e.g. $a^5$}). It is faster than simply multiplying $b - 1$ times for all values of -$b$ that are greater than three. +The first algorithm in the series of exponentiation algorithms will be an unbounded algorithm where the exponent is a single digit. It is intended +to be used when a small power of an input is required (\textit{e.g. $a^5$}). It is faster than simply multiplying $b - 1$ times for all values of +$b$ that are greater than three. \newpage\begin{figure}[!here] \begin{small} @@ -4811,10 +7371,10 @@ $b$ that are greater than three. \textbf{Algorithm mp\_expt\_d.} This algorithm computes the value of $a$ raised to the power of a single digit $b$. It uses the left to right exponentiation algorithm to -quickly compute the exponentiation. It is loosely based on algorithm 14.79 of HAC \cite[pp. 615]{HAC} with the difference that the -exponent is a fixed width. +quickly compute the exponentiation. It is loosely based on algorithm 14.79 of HAC \cite[pp. 615]{HAC} with the difference that the +exponent is a fixed width. -A copy of $a$ is made first to allow destination variable $c$ be the same as the source variable $a$. The result is set to the initial value of +A copy of $a$ is made first to allow destination variable $c$ be the same as the source variable $a$. The result is set to the initial value of $1$ in the subsequent step. Inside the loop the exponent is read from the most significant bit first down to the least significant bit. First $c$ is invariably squared @@ -4823,16 +7383,80 @@ of $b$ is shifted left one bit to make the next bit down from the most signfican iteration of the loop moves the bits of the exponent $b$ upwards to the most significant location. \vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_expt\_d.c +\hspace{-5.1mm}{\bf File}: bn\_mp\_expt\_d\_ex.c \vspace{-3mm} \begin{alltt} +016 +017 /* calculate c = a**b using a square-multiply algorithm */ +018 int mp_expt_d_ex (mp_int * a, mp_digit b, mp_int * c, int fast) +019 \{ +020 int res; +021 unsigned int x; +022 +023 mp_int g; +024 +025 if ((res = mp_init_copy (&g, a)) != MP_OKAY) \{ +026 return res; +027 \} +028 +029 /* set initial result */ +030 mp_set (c, 1); +031 +032 if (fast != 0) \{ +033 while (b > 0) \{ +034 /* if the bit is set multiply */ +035 if ((b & 1) != 0) \{ +036 if ((res = mp_mul (c, &g, c)) != MP_OKAY) \{ +037 mp_clear (&g); +038 return res; +039 \} +040 \} +041 +042 /* square */ +043 if (b > 1) \{ +044 if ((res = mp_sqr (&g, &g)) != MP_OKAY) \{ +045 mp_clear (&g); +046 return res; +047 \} +048 \} +049 +050 /* shift to next bit */ +051 b >>= 1; +052 \} +053 \} +054 else \{ +055 for (x = 0; x < DIGIT_BIT; x++) \{ +056 /* square */ +057 if ((res = mp_sqr (c, c)) != MP_OKAY) \{ +058 mp_clear (&g); +059 return res; +060 \} +061 +062 /* if the bit is set multiply */ +063 if ((b & (mp_digit) (((mp_digit)1) << (DIGIT_BIT - 1))) != 0) \{ +064 if ((res = mp_mul (c, &g, c)) != MP_OKAY) \{ +065 mp_clear (&g); +066 return res; +067 \} +068 \} +069 +070 /* shift to next bit */ +071 b <<= 1; +072 \} +073 \} /* if ... else */ +074 +075 mp_clear (&g); +076 return MP_OKAY; +077 \} +078 #endif +079 \end{alltt} \end{small} -Line 29 sets the initial value of the result to $1$. Next the loop on line 31 steps through each bit of the exponent starting from -the most significant down towards the least significant. The invariant squaring operation placed on line 33 is performed first. After +This describes only the algorithm that is used when the parameter $fast$ is $0$. Line 30 sets the initial value of the result to $1$. Next the loop on line 55 steps through each bit of the exponent starting from +the most significant down towards the least significant. The invariant squaring operation placed on line 57 is performed first. After the squaring the result $c$ is multiplied by the base $g$ if and only if the most significant bit of the exponent is set. The shift on line -47 moves all of the bits of the exponent upwards towards the most significant location. +71 moves all of the bits of the exponent upwards towards the most significant location. \section{$k$-ary Exponentiation} When calculating an exponentiation the most time consuming bottleneck is the multiplications which are in general a small factor @@ -4865,7 +7489,7 @@ portion of the entire exponent. Consider the following modification to the basi The squaring on step 2.1 can be calculated by squaring the value $c$ successively $k$ times. If the values of $a^g$ for $0 < g < 2^k$ have been precomputed this algorithm requires only $t$ multiplications and $tk$ squarings. The table can be generated with $2^{k - 1} - 1$ squarings and -$2^{k - 1} + 1$ multiplications. This algorithm assumes that the number of bits in the exponent is evenly divisible by $k$. +$2^{k - 1} + 1$ multiplications. This algorithm assumes that the number of bits in the exponent is evenly divisible by $k$. However, when it is not the remaining $0 < x \le k - 1$ bits can be handled with algorithm~\ref{fig:LTOR}. Suppose $k = 4$ and $t = 100$. This modified algorithm will require $109$ multiplications and $408$ squarings to compute the exponentiation. The @@ -4875,7 +7499,7 @@ has increased slightly but the number of multiplications has nearly halved. \subsection{Optimal Values of $k$} An optimal value of $k$ will minimize $2^{k} + \lceil n / k \rceil + n - 1$ for a fixed number of bits in the exponent $n$. The simplest approach is to brute force search amongst the values $k = 2, 3, \ldots, 8$ for the lowest result. Table~\ref{fig:OPTK} lists optimal values of $k$ -for various exponent sizes and compares the number of multiplication and squarings required against algorithm~\ref{fig:LTOR}. +for various exponent sizes and compares the number of multiplication and squarings required against algorithm~\ref{fig:LTOR}. \begin{figure}[here] \begin{center} @@ -4901,10 +7525,10 @@ for various exponent sizes and compares the number of multiplication and squarin \subsection{Sliding-Window Exponentiation} A simple modification to the previous algorithm is only generate the upper half of the table in the range $2^{k-1} \le g < 2^k$. Essentially -this is a table for all values of $g$ where the most significant bit of $g$ is a one. However, in order for this to be allowed in the -algorithm values of $g$ in the range $0 \le g < 2^{k-1}$ must be avoided. +this is a table for all values of $g$ where the most significant bit of $g$ is a one. However, in order for this to be allowed in the +algorithm values of $g$ in the range $0 \le g < 2^{k-1}$ must be avoided. -Table~\ref{fig:OPTK2} lists optimal values of $k$ for various exponent sizes and compares the work required against algorithm~\ref{fig:KARY}. +Table~\ref{fig:OPTK2} lists optimal values of $k$ for various exponent sizes and compares the work required against algorithm {\ref{fig:KARY}}. \begin{figure}[here] \begin{center} @@ -4955,29 +7579,29 @@ Table~\ref{fig:OPTK2} lists optimal values of $k$ for various exponent sizes and Similar to the previous algorithm this algorithm must have a special handler when fewer than $k$ bits are left in the exponent. While this algorithm requires the same number of squarings it can potentially have fewer multiplications. The pre-computed table $a^g$ is also half -the size as the previous table. +the size as the previous table. -Consider the exponent $b = 111101011001000_2 \equiv 31432_{10}$ with $k = 3$ using both algorithms. The first algorithm will divide the exponent up as -the following five $3$-bit words $b \equiv \left ( 111, 101, 011, 001, 000 \right )_{2}$. The second algorithm will break the +Consider the exponent $b = 111101011001000_2 \equiv 31432_{10}$ with $k = 3$ using both algorithms. The first algorithm will divide the exponent up as +the following five $3$-bit words $b \equiv \left ( 111, 101, 011, 001, 000 \right )_{2}$. The second algorithm will break the exponent as $b \equiv \left ( 111, 101, 0, 110, 0, 100, 0 \right )_{2}$. The single digit $0$ in the second representation are where -a single squaring took place instead of a squaring and multiplication. In total the first method requires $10$ multiplications and $18$ -squarings. The second method requires $8$ multiplications and $18$ squarings. +a single squaring took place instead of a squaring and multiplication. In total the first method requires $10$ multiplications and $18$ +squarings. The second method requires $8$ multiplications and $18$ squarings. -In general the sliding window method is never slower than the generic $k$-ary method and often it is slightly faster. +In general the sliding window method is never slower than the generic $k$-ary method and often it is slightly faster. \section{Modular Exponentiation} -Modular exponentiation is essentially computing the power of a base within a finite field or ring. For example, computing -$d \equiv a^b \mbox{ (mod }c\mbox{)}$ is a modular exponentiation. Instead of first computing $a^b$ and then reducing it -modulo $c$ the intermediate result is reduced modulo $c$ after every squaring or multiplication operation. +Modular exponentiation is essentially computing the power of a base within a finite field or ring. For example, computing +$d \equiv a^b \mbox{ (mod }c\mbox{)}$ is a modular exponentiation. Instead of first computing $a^b$ and then reducing it +modulo $c$ the intermediate result is reduced modulo $c$ after every squaring or multiplication operation. This guarantees that any intermediate result is bounded by $0 \le d \le c^2 - 2c + 1$ and can be reduced modulo $c$ quickly using -one of the algorithms presented in chapter six. +one of the algorithms presented in chapter six. Before the actual modular exponentiation algorithm can be written a wrapper algorithm must be written first. This algorithm will allow the exponent $b$ to be negative which is computed as $c \equiv \left (1 / a \right )^{\vert b \vert} \mbox{(mod }d\mbox{)}$. The value of $(1/a) \mbox{ mod }c$ is computed using the modular inverse (\textit{see \ref{sec;modinv}}). If no inverse exists the algorithm -terminates with an error. +terminates with an error. \begin{figure}[!here] \begin{small} @@ -5004,25 +7628,119 @@ terminates with an error. \end{figure} \textbf{Algorithm mp\_exptmod.} -The first algorithm which actually performs modular exponentiation is algorithm s\_mp\_exptmod. It is a sliding window $k$-ary algorithm -which uses Barrett reduction to reduce the product modulo $p$. The second algorithm mp\_exptmod\_fast performs the same operation +The first algorithm which actually performs modular exponentiation is algorithm s\_mp\_exptmod. It is a sliding window $k$-ary algorithm +which uses Barrett reduction to reduce the product modulo $p$. The second algorithm mp\_exptmod\_fast performs the same operation except it uses either Montgomery or Diminished Radix reduction. The two latter reduction algorithms are clumped in the same exponentiation -algorithm since their arguments are essentially the same (\textit{two mp\_ints and one mp\_digit}). +algorithm since their arguments are essentially the same (\textit{two mp\_ints and one mp\_digit}). \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_exptmod.c \vspace{-3mm} \begin{alltt} +016 +017 +018 /* this is a shell function that calls either the normal or Montgomery +019 * exptmod functions. Originally the call to the montgomery code was +020 * embedded in the normal function but that wasted alot of stack space +021 * for nothing (since 99% of the time the Montgomery code would be called) +022 */ +023 int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) +024 \{ +025 int dr; +026 +027 /* modulus P must be positive */ +028 if (P->sign == MP_NEG) \{ +029 return MP_VAL; +030 \} +031 +032 /* if exponent X is negative we have to recurse */ +033 if (X->sign == MP_NEG) \{ +034 #ifdef BN_MP_INVMOD_C +035 mp_int tmpG, tmpX; +036 int err; +037 +038 /* first compute 1/G mod P */ +039 if ((err = mp_init(&tmpG)) != MP_OKAY) \{ +040 return err; +041 \} +042 if ((err = mp_invmod(G, P, &tmpG)) != MP_OKAY) \{ +043 mp_clear(&tmpG); +044 return err; +045 \} +046 +047 /* now get |X| */ +048 if ((err = mp_init(&tmpX)) != MP_OKAY) \{ +049 mp_clear(&tmpG); +050 return err; +051 \} +052 if ((err = mp_abs(X, &tmpX)) != MP_OKAY) \{ +053 mp_clear_multi(&tmpG, &tmpX, NULL); +054 return err; +055 \} +056 +057 /* and now compute (1/G)**|X| instead of G**X [X < 0] */ +058 err = mp_exptmod(&tmpG, &tmpX, P, Y); +059 mp_clear_multi(&tmpG, &tmpX, NULL); +060 return err; +061 #else +062 /* no invmod */ +063 return MP_VAL; +064 #endif +065 \} +066 +067 /* modified diminished radix reduction */ +068 #if defined(BN_MP_REDUCE_IS_2K_L_C) && defined(BN_MP_REDUCE_2K_L_C) && defin + ed(BN_S_MP_EXPTMOD_C) +069 if (mp_reduce_is_2k_l(P) == MP_YES) \{ +070 return s_mp_exptmod(G, X, P, Y, 1); +071 \} +072 #endif +073 +074 #ifdef BN_MP_DR_IS_MODULUS_C +075 /* is it a DR modulus? */ +076 dr = mp_dr_is_modulus(P); +077 #else +078 /* default to no */ +079 dr = 0; +080 #endif +081 +082 #ifdef BN_MP_REDUCE_IS_2K_C +083 /* if not, is it a unrestricted DR modulus? */ +084 if (dr == 0) \{ +085 dr = mp_reduce_is_2k(P) << 1; +086 \} +087 #endif +088 +089 /* if the modulus is odd or dr != 0 use the montgomery method */ +090 #ifdef BN_MP_EXPTMOD_FAST_C +091 if ((mp_isodd (P) == MP_YES) || (dr != 0)) \{ +092 return mp_exptmod_fast (G, X, P, Y, dr); +093 \} else \{ +094 #endif +095 #ifdef BN_S_MP_EXPTMOD_C +096 /* otherwise use the generic Barrett reduction technique */ +097 return s_mp_exptmod (G, X, P, Y, 0); +098 #else +099 /* no exptmod for evens */ +100 return MP_VAL; +101 #endif +102 #ifdef BN_MP_EXPTMOD_FAST_C +103 \} +104 #endif +105 \} +106 +107 #endif +108 \end{alltt} \end{small} -In order to keep the algorithms in a known state the first step on line 29 is to reject any negative modulus as input. If the exponent is +In order to keep the algorithms in a known state the first step on line 28 is to reject any negative modulus as input. If the exponent is negative the algorithm tries to perform a modular exponentiation with the modular inverse of the base $G$. The temporary variable $tmpG$ is assigned the modular inverse of $G$ and $tmpX$ is assigned the absolute value of $X$. The algorithm will recuse with these new values with a positive exponent. -If the exponent is positive the algorithm resumes the exponentiation. Line 77 determines if the modulus is of the restricted Diminished Radix -form. If it is not line 70 attempts to determine if it is of a unrestricted Diminished Radix form. The integer $dr$ will take on one +If the exponent is positive the algorithm resumes the exponentiation. Line 76 determines if the modulus is of the restricted Diminished Radix +form. If it is not line 69 attempts to determine if it is of a unrestricted Diminished Radix form. The integer $dr$ will take on one of three values. \begin{enumerate} @@ -5032,7 +7750,7 @@ of three values. \end{enumerate} Line 69 determines if the fast modular exponentiation algorithm can be used. It is allowed if $dr \ne 0$ or if the modulus is odd. Otherwise, -the slower s\_mp\_exptmod algorithm is used which uses Barrett reduction. +the slower s\_mp\_exptmod algorithm is used which uses Barrett reduction. \subsection{Barrett Modular Exponentiation} @@ -5137,9 +7855,9 @@ No more windows left. Check for residual bits of exponent. \\ This algorithm computes the $x$'th power of $g$ modulo $p$ and stores the result in $y$. It takes advantage of the Barrett reduction algorithm to keep the product small throughout the algorithm. -The first two steps determine the optimal window size based on the number of bits in the exponent. The larger the exponent the +The first two steps determine the optimal window size based on the number of bits in the exponent. The larger the exponent the larger the window size becomes. After a window size $winsize$ has been chosen an array of $2^{winsize}$ mp\_int variables is allocated. This -table will hold the values of $g^x \mbox{ (mod }p\mbox{)}$ for $2^{winsize - 1} \le x < 2^{winsize}$. +table will hold the values of $g^x \mbox{ (mod }p\mbox{)}$ for $2^{winsize - 1} \le x < 2^{winsize}$. After the table is allocated the first power of $g$ is found. Since $g \ge p$ is allowed it must be first reduced modulo $p$ to make the rest of the algorithm more efficient. The first element of the table at $2^{winsize - 1}$ is found by squaring $M_1$ successively $winsize - 2$ @@ -5147,35 +7865,35 @@ times. The rest of the table elements are found by multiplying the previous ele Now that the table is available the sliding window may begin. The following list describes the functions of all the variables in the window. \begin{enumerate} -\item The variable $mode$ dictates how the bits of the exponent are interpreted. +\item The variable $mode$ dictates how the bits of the exponent are interpreted. \begin{enumerate} - \item When $mode = 0$ the bits are ignored since no non-zero bit of the exponent has been seen yet. For example, if the exponent were simply - $1$ then there would be $lg(\beta) - 1$ zero bits before the first non-zero bit. In this case bits are ignored until a non-zero bit is found. - \item When $mode = 1$ a non-zero bit has been seen before and a new $winsize$-bit window has not been formed yet. In this mode leading $0$ bits - are read and a single squaring is performed. If a non-zero bit is read a new window is created. + \item When $mode = 0$ the bits are ignored since no non-zero bit of the exponent has been seen yet. For example, if the exponent were simply + $1$ then there would be $lg(\beta) - 1$ zero bits before the first non-zero bit. In this case bits are ignored until a non-zero bit is found. + \item When $mode = 1$ a non-zero bit has been seen before and a new $winsize$-bit window has not been formed yet. In this mode leading $0$ bits + are read and a single squaring is performed. If a non-zero bit is read a new window is created. \item When $mode = 2$ the algorithm is in the middle of forming a window and new bits are appended to the window from the most significant bit downwards. \end{enumerate} \item The variable $bitcnt$ indicates how many bits are left in the current digit of the exponent left to be read. When it reaches zero a new digit is fetched from the exponent. -\item The variable $buf$ holds the currently read digit of the exponent. +\item The variable $buf$ holds the currently read digit of the exponent. \item The variable $digidx$ is an index into the exponents digits. It starts at the leading digit $x.used - 1$ and moves towards the trailing digit. \item The variable $bitcpy$ indicates how many bits are in the currently formed window. When it reaches $winsize$ the window is flushed and the appropriate operations performed. -\item The variable $bitbuf$ holds the current bits of the window being formed. +\item The variable $bitbuf$ holds the current bits of the window being formed. \end{enumerate} All of step 12 is the window processing loop. It will iterate while there are digits available form the exponent to read. The first step inside this loop is to extract a new digit if no more bits are available in the current digit. If there are no bits left a new digit is -read and if there are no digits left than the loop terminates. +read and if there are no digits left than the loop terminates. After a digit is made available step 12.3 will extract the most significant bit of the current digit and move all other bits in the digit -upwards. In effect the digit is read from most significant bit to least significant bit and since the digits are read from leading to +upwards. In effect the digit is read from most significant bit to least significant bit and since the digits are read from leading to trailing edges the entire exponent is read from most significant bit to least significant bit. -At step 12.5 if the $mode$ and currently extracted bit $y$ are both zero the bit is ignored and the next bit is read. This prevents the +At step 12.5 if the $mode$ and currently extracted bit $y$ are both zero the bit is ignored and the next bit is read. This prevents the algorithm from having to perform trivial squaring and reduction operations before the first non-zero bit is read. Step 12.6 and 12.7-10 handle -the two cases of $mode = 1$ and $mode = 2$ respectively. +the two cases of $mode = 1$ and $mode = 2$ respectively. \begin{center} \begin{figure}[here] @@ -5185,24 +7903,258 @@ the two cases of $mode = 1$ and $mode = 2$ respectively. \end{figure} \end{center} -By step 13 there are no more digits left in the exponent. However, there may be partial bits in the window left. If $mode = 2$ then -a Left-to-Right algorithm is used to process the remaining few bits. +By step 13 there are no more digits left in the exponent. However, there may be partial bits in the window left. If $mode = 2$ then +a Left-to-Right algorithm is used to process the remaining few bits. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_s\_mp\_exptmod.c \vspace{-3mm} \begin{alltt} +016 #ifdef MP_LOW_MEM +017 #define TAB_SIZE 32 +018 #else +019 #define TAB_SIZE 256 +020 #endif +021 +022 int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmod + e) +023 \{ +024 mp_int M[TAB_SIZE], res, mu; +025 mp_digit buf; +026 int err, bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize; +027 int (*redux)(mp_int*,mp_int*,mp_int*); +028 +029 /* find window size */ +030 x = mp_count_bits (X); +031 if (x <= 7) \{ +032 winsize = 2; +033 \} else if (x <= 36) \{ +034 winsize = 3; +035 \} else if (x <= 140) \{ +036 winsize = 4; +037 \} else if (x <= 450) \{ +038 winsize = 5; +039 \} else if (x <= 1303) \{ +040 winsize = 6; +041 \} else if (x <= 3529) \{ +042 winsize = 7; +043 \} else \{ +044 winsize = 8; +045 \} +046 +047 #ifdef MP_LOW_MEM +048 if (winsize > 5) \{ +049 winsize = 5; +050 \} +051 #endif +052 +053 /* init M array */ +054 /* init first cell */ +055 if ((err = mp_init(&M[1])) != MP_OKAY) \{ +056 return err; +057 \} +058 +059 /* now init the second half of the array */ +060 for (x = 1<<(winsize-1); x < (1 << winsize); x++) \{ +061 if ((err = mp_init(&M[x])) != MP_OKAY) \{ +062 for (y = 1<<(winsize-1); y < x; y++) \{ +063 mp_clear (&M[y]); +064 \} +065 mp_clear(&M[1]); +066 return err; +067 \} +068 \} +069 +070 /* create mu, used for Barrett reduction */ +071 if ((err = mp_init (&mu)) != MP_OKAY) \{ +072 goto LBL_M; +073 \} +074 +075 if (redmode == 0) \{ +076 if ((err = mp_reduce_setup (&mu, P)) != MP_OKAY) \{ +077 goto LBL_MU; +078 \} +079 redux = mp_reduce; +080 \} else \{ +081 if ((err = mp_reduce_2k_setup_l (P, &mu)) != MP_OKAY) \{ +082 goto LBL_MU; +083 \} +084 redux = mp_reduce_2k_l; +085 \} +086 +087 /* create M table +088 * +089 * The M table contains powers of the base, +090 * e.g. M[x] = G**x mod P +091 * +092 * The first half of the table is not +093 * computed though accept for M[0] and M[1] +094 */ +095 if ((err = mp_mod (G, P, &M[1])) != MP_OKAY) \{ +096 goto LBL_MU; +097 \} +098 +099 /* compute the value at M[1<<(winsize-1)] by squaring +100 * M[1] (winsize-1) times +101 */ +102 if ((err = mp_copy (&M[1], &M[1 << (winsize - 1)])) != MP_OKAY) \{ +103 goto LBL_MU; +104 \} +105 +106 for (x = 0; x < (winsize - 1); x++) \{ +107 /* square it */ +108 if ((err = mp_sqr (&M[1 << (winsize - 1)], +109 &M[1 << (winsize - 1)])) != MP_OKAY) \{ +110 goto LBL_MU; +111 \} +112 +113 /* reduce modulo P */ +114 if ((err = redux (&M[1 << (winsize - 1)], P, &mu)) != MP_OKAY) \{ +115 goto LBL_MU; +116 \} +117 \} +118 +119 /* create upper table, that is M[x] = M[x-1] * M[1] (mod P) +120 * for x = (2**(winsize - 1) + 1) to (2**winsize - 1) +121 */ +122 for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) \{ +123 if ((err = mp_mul (&M[x - 1], &M[1], &M[x])) != MP_OKAY) \{ +124 goto LBL_MU; +125 \} +126 if ((err = redux (&M[x], P, &mu)) != MP_OKAY) \{ +127 goto LBL_MU; +128 \} +129 \} +130 +131 /* setup result */ +132 if ((err = mp_init (&res)) != MP_OKAY) \{ +133 goto LBL_MU; +134 \} +135 mp_set (&res, 1); +136 +137 /* set initial mode and bit cnt */ +138 mode = 0; +139 bitcnt = 1; +140 buf = 0; +141 digidx = X->used - 1; +142 bitcpy = 0; +143 bitbuf = 0; +144 +145 for (;;) \{ +146 /* grab next digit as required */ +147 if (--bitcnt == 0) \{ +148 /* if digidx == -1 we are out of digits */ +149 if (digidx == -1) \{ +150 break; +151 \} +152 /* read next digit and reset the bitcnt */ +153 buf = X->dp[digidx--]; +154 bitcnt = (int) DIGIT_BIT; +155 \} +156 +157 /* grab the next msb from the exponent */ +158 y = (buf >> (mp_digit)(DIGIT_BIT - 1)) & 1; +159 buf <<= (mp_digit)1; +160 +161 /* if the bit is zero and mode == 0 then we ignore it +162 * These represent the leading zero bits before the first 1 bit +163 * in the exponent. Technically this opt is not required but it +164 * does lower the # of trivial squaring/reductions used +165 */ +166 if ((mode == 0) && (y == 0)) \{ +167 continue; +168 \} +169 +170 /* if the bit is zero and mode == 1 then we square */ +171 if ((mode == 1) && (y == 0)) \{ +172 if ((err = mp_sqr (&res, &res)) != MP_OKAY) \{ +173 goto LBL_RES; +174 \} +175 if ((err = redux (&res, P, &mu)) != MP_OKAY) \{ +176 goto LBL_RES; +177 \} +178 continue; +179 \} +180 +181 /* else we add it to the window */ +182 bitbuf |= (y << (winsize - ++bitcpy)); +183 mode = 2; +184 +185 if (bitcpy == winsize) \{ +186 /* ok window is filled so square as required and multiply */ +187 /* square first */ +188 for (x = 0; x < winsize; x++) \{ +189 if ((err = mp_sqr (&res, &res)) != MP_OKAY) \{ +190 goto LBL_RES; +191 \} +192 if ((err = redux (&res, P, &mu)) != MP_OKAY) \{ +193 goto LBL_RES; +194 \} +195 \} +196 +197 /* then multiply */ +198 if ((err = mp_mul (&res, &M[bitbuf], &res)) != MP_OKAY) \{ +199 goto LBL_RES; +200 \} +201 if ((err = redux (&res, P, &mu)) != MP_OKAY) \{ +202 goto LBL_RES; +203 \} +204 +205 /* empty window and reset */ +206 bitcpy = 0; +207 bitbuf = 0; +208 mode = 1; +209 \} +210 \} +211 +212 /* if bits remain then square/multiply */ +213 if ((mode == 2) && (bitcpy > 0)) \{ +214 /* square then multiply if the bit is set */ +215 for (x = 0; x < bitcpy; x++) \{ +216 if ((err = mp_sqr (&res, &res)) != MP_OKAY) \{ +217 goto LBL_RES; +218 \} +219 if ((err = redux (&res, P, &mu)) != MP_OKAY) \{ +220 goto LBL_RES; +221 \} +222 +223 bitbuf <<= 1; +224 if ((bitbuf & (1 << winsize)) != 0) \{ +225 /* then multiply */ +226 if ((err = mp_mul (&res, &M[1], &res)) != MP_OKAY) \{ +227 goto LBL_RES; +228 \} +229 if ((err = redux (&res, P, &mu)) != MP_OKAY) \{ +230 goto LBL_RES; +231 \} +232 \} +233 \} +234 \} +235 +236 mp_exch (&res, Y); +237 err = MP_OKAY; +238 LBL_RES:mp_clear (&res); +239 LBL_MU:mp_clear (&mu); +240 LBL_M: +241 mp_clear(&M[1]); +242 for (x = 1<<(winsize-1); x < (1 << winsize); x++) \{ +243 mp_clear (&M[x]); +244 \} +245 return err; +246 \} +247 #endif +248 \end{alltt} \end{small} -Lines 32 through 46 determine the optimal window size based on the length of the exponent in bits. The window divisions are sorted -from smallest to greatest so that in each \textbf{if} statement only one condition must be tested. For example, by the \textbf{if} statement -on line 38 the value of $x$ is already known to be greater than $140$. +Lines 31 through 45 determine the optimal window size based on the length of the exponent in bits. The window divisions are sorted +from smallest to greatest so that in each \textbf{if} statement only one condition must be tested. For example, by the \textbf{if} statement +on line 37 the value of $x$ is already known to be greater than $140$. -The conditional piece of code beginning on line 48 allows the window size to be restricted to five bits. This logic is used to ensure -the table of precomputed powers of $G$ remains relatively small. +The conditional piece of code beginning on line 47 allows the window size to be restricted to five bits. This logic is used to ensure +the table of precomputed powers of $G$ remains relatively small. -The for loop on line 61 initializes the $M$ array while lines 72 and 77 through 86 initialize the reduction +The for loop on line 60 initializes the $M$ array while lines 71 and 76 through 85 initialize the reduction function that will be used for this modulus. -- More later. @@ -5237,17 +8189,46 @@ equivalent to $m \cdot 2^k$. By this logic when $m = 1$ a quick power of two ca \hspace{-5.1mm}{\bf File}: bn\_mp\_2expt.c \vspace{-3mm} \begin{alltt} +016 +017 /* computes a = 2**b +018 * +019 * Simple algorithm which zeroes the int, grows it then just sets one bit +020 * as required. +021 */ +022 int +023 mp_2expt (mp_int * a, int b) +024 \{ +025 int res; +026 +027 /* zero a as per default */ +028 mp_zero (a); +029 +030 /* grow a to accomodate the single bit */ +031 if ((res = mp_grow (a, (b / DIGIT_BIT) + 1)) != MP_OKAY) \{ +032 return res; +033 \} +034 +035 /* set the used count of where the bit will go */ +036 a->used = (b / DIGIT_BIT) + 1; +037 +038 /* put the single bit in its place */ +039 a->dp[b / DIGIT_BIT] = ((mp_digit)1) << (b % DIGIT_BIT); +040 +041 return MP_OKAY; +042 \} +043 #endif +044 \end{alltt} \end{small} \chapter{Higher Level Algorithms} This chapter discusses the various higher level algorithms that are required to complete a well rounded multiple precision integer package. These -routines are less performance oriented than the algorithms of chapters five, six and seven but are no less important. +routines are less performance oriented than the algorithms of chapters five, six and seven but are no less important. The first section describes a method of integer division with remainder that is universally well known. It provides the signed division logic -for the package. The subsequent section discusses a set of algorithms which allow a single digit to be the 2nd operand for a variety of operations. -These algorithms serve mostly to simplify other algorithms where small constants are required. The last two sections discuss how to manipulate +for the package. The subsequent section discusses a set of algorithms which allow a single digit to be the 2nd operand for a variety of operations. +These algorithms serve mostly to simplify other algorithms where small constants are required. The last two sections discuss how to manipulate various representations of integers. For example, converting from an mp\_int to a string of character. \section{Integer Division with Remainder} @@ -5255,7 +8236,7 @@ various representations of integers. For example, converting from an mp\_int to Integer division aside from modular exponentiation is the most intensive algorithm to compute. Like addition, subtraction and multiplication the basis of this algorithm is the long-hand division algorithm taught to school children. Throughout this discussion several common variables -will be used. Let $x$ represent the divisor and $y$ represent the dividend. Let $q$ represent the integer quotient $\lfloor y / x \rfloor$ and +will be used. Let $x$ represent the divisor and $y$ represent the dividend. Let $q$ represent the integer quotient $\lfloor y / x \rfloor$ and let $r$ represent the remainder $r = y - x \lfloor y / x \rfloor$. The following simple algorithm will be used to start the discussion. \newpage\begin{figure}[!here] @@ -5285,42 +8266,42 @@ let $r$ represent the remainder $r = y - x \lfloor y / x \rfloor$. The followin As children we are taught this very simple algorithm for the case of $\beta = 10$. Almost instinctively several optimizations are taught for which their reason of existing are never explained. For this example let $y = 5471$ represent the dividend and $x = 23$ represent the divisor. -To find the first digit of the quotient the value of $k$ must be maximized such that $kx\beta^t$ is less than or equal to $y$ and +To find the first digit of the quotient the value of $k$ must be maximized such that $kx\beta^t$ is less than or equal to $y$ and simultaneously $(k + 1)x\beta^t$ is greater than $y$. Implicitly $k$ is the maximum value the $t$'th digit of the quotient may have. The habitual method used to find the maximum is to ``eyeball'' the two numbers, typically only the leading digits and quickly estimate a quotient. By only using leading -digits a much simpler division may be used to form an educated guess at what the value must be. In this case $k = \lfloor 54/23\rfloor = 2$ quickly -arises as a possible solution. Indeed $2x\beta^2 = 4600$ is less than $y = 5471$ and simultaneously $(k + 1)x\beta^2 = 6900$ is larger than $y$. +digits a much simpler division may be used to form an educated guess at what the value must be. In this case $k = \lfloor 54/23\rfloor = 2$ quickly +arises as a possible solution. Indeed $2x\beta^2 = 4600$ is less than $y = 5471$ and simultaneously $(k + 1)x\beta^2 = 6900$ is larger than $y$. As a result $k\beta^2$ is added to the quotient which now equals $q = 200$ and $4600$ is subtracted from $y$ to give a remainder of $y = 841$. -Again this process is repeated to produce the quotient digit $k = 3$ which makes the quotient $q = 200 + 3\beta = 230$ and the remainder +Again this process is repeated to produce the quotient digit $k = 3$ which makes the quotient $q = 200 + 3\beta = 230$ and the remainder $y = 841 - 3x\beta = 181$. Finally the last iteration of the loop produces $k = 7$ which leads to the quotient $q = 230 + 7 = 237$ and the -remainder $y = 181 - 7x = 20$. The final quotient and remainder found are $q = 237$ and $r = y = 20$ which are indeed correct since -$237 \cdot 23 + 20 = 5471$ is true. +remainder $y = 181 - 7x = 20$. The final quotient and remainder found are $q = 237$ and $r = y = 20$ which are indeed correct since +$237 \cdot 23 + 20 = 5471$ is true. \subsection{Quotient Estimation} \label{sec:divest} As alluded to earlier the quotient digit $k$ can be estimated from only the leading digits of both the divisor and dividend. When $p$ leading digits are used from both the divisor and dividend to form an estimation the accuracy of the estimation rises as $p$ grows. Technically speaking the estimation is based on assuming the lower $\vert \vert y \vert \vert - p$ and $\vert \vert x \vert \vert - p$ lower digits of the -dividend and divisor are zero. +dividend and divisor are zero. The value of the estimation may off by a few values in either direction and in general is fairly correct. A simplification \cite[pp. 271]{TAOCPV2} -of the estimation technique is to use $t + 1$ digits of the dividend and $t$ digits of the divisor, in particularly when $t = 1$. The estimate -using this technique is never too small. For the following proof let $t = \vert \vert y \vert \vert - 1$ and $s = \vert \vert x \vert \vert - 1$ +of the estimation technique is to use $t + 1$ digits of the dividend and $t$ digits of the divisor, in particularly when $t = 1$. The estimate +using this technique is never too small. For the following proof let $t = \vert \vert y \vert \vert - 1$ and $s = \vert \vert x \vert \vert - 1$ represent the most significant digits of the dividend and divisor respectively. -\textbf{Proof.}\textit{ The quotient $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ is greater than or equal to +\textbf{Proof.}\textit{ The quotient $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ is greater than or equal to $k = \lfloor y / (x \cdot \beta^{\vert \vert y \vert \vert - \vert \vert x \vert \vert - 1}) \rfloor$. } -The first obvious case is when $\hat k = \beta - 1$ in which case the proof is concluded since the real quotient cannot be larger. For all other +The first obvious case is when $\hat k = \beta - 1$ in which case the proof is concluded since the real quotient cannot be larger. For all other cases $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ and $\hat k x_s \ge y_t\beta + y_{t-1} - x_s + 1$. The latter portion of the inequalility -$-x_s + 1$ arises from the fact that a truncated integer division will give the same quotient for at most $x_s - 1$ values. Next a series of +$-x_s + 1$ arises from the fact that a truncated integer division will give the same quotient for at most $x_s - 1$ values. Next a series of inequalities will prove the hypothesis. \begin{equation} y - \hat k x \le y - \hat k x_s\beta^s \end{equation} -This is trivially true since $x \ge x_s\beta^s$. Next we replace $\hat kx_s\beta^s$ by the previous inequality for $\hat kx_s$. +This is trivially true since $x \ge x_s\beta^s$. Next we replace $\hat kx_s\beta^s$ by the previous inequality for $\hat kx_s$. \begin{equation} y - \hat k x \le y_t\beta^t + \ldots + y_0 - (y_t\beta^t + y_{t-1}\beta^{t-1} - x_s\beta^t + \beta^s) @@ -5345,13 +8326,13 @@ Which proves that $y - \hat kx \le x$ and by consequence $\hat k \ge k$ which co For the purposes of division a normalized input is when the divisors leading digit $x_n$ is greater than or equal to $\beta / 2$. By multiplying both $x$ and $y$ by $j = \lfloor (\beta / 2) / x_n \rfloor$ the quotient remains unchanged and the remainder is simply $j$ times the original remainder. The purpose of normalization is to ensure the leading digit of the divisor is sufficiently large such that the estimated quotient will -lie in the domain of a single digit. Consider the maximum dividend $(\beta - 1) \cdot \beta + (\beta - 1)$ and the minimum divisor $\beta / 2$. +lie in the domain of a single digit. Consider the maximum dividend $(\beta - 1) \cdot \beta + (\beta - 1)$ and the minimum divisor $\beta / 2$. -\begin{equation} -{{\beta^2 - 1} \over { \beta / 2}} \le 2\beta - {2 \over \beta} +\begin{equation} +{{\beta^2 - 1} \over { \beta / 2}} \le 2\beta - {2 \over \beta} \end{equation} -At most the quotient approaches $2\beta$, however, in practice this will not occur since that would imply the previous quotient digit was too small. +At most the quotient approaches $2\beta$, however, in practice this will not occur since that would imply the previous quotient digit was too small. \subsection{Radix-$\beta$ Division with Remainder} \newpage\begin{figure}[!here] @@ -5449,23 +8430,23 @@ Finalize the result. \\ This algorithm will calculate quotient and remainder from an integer division given a dividend and divisor. The algorithm is a signed division and will produce a fully qualified quotient and remainder. -First the divisor $b$ must be non-zero which is enforced in step one. If the divisor is larger than the dividend than the quotient is implicitly -zero and the remainder is the dividend. +First the divisor $b$ must be non-zero which is enforced in step one. If the divisor is larger than the dividend than the quotient is implicitly +zero and the remainder is the dividend. After the first two trivial cases of inputs are handled the variable $q$ is setup to receive the digits of the quotient. Two unsigned copies of the divisor $y$ and dividend $x$ are made as well. The core of the division algorithm is an unsigned division and will only work if the values are -positive. Now the two values $x$ and $y$ must be normalized such that the leading digit of $y$ is greater than or equal to $\beta / 2$. -This is performed by shifting both to the left by enough bits to get the desired normalization. +positive. Now the two values $x$ and $y$ must be normalized such that the leading digit of $y$ is greater than or equal to $\beta / 2$. +This is performed by shifting both to the left by enough bits to get the desired normalization. -At this point the division algorithm can begin producing digits of the quotient. Recall that maximum value of the estimation used is +At this point the division algorithm can begin producing digits of the quotient. Recall that maximum value of the estimation used is $2\beta - {2 \over \beta}$ which means that a digit of the quotient must be first produced by another means. In this case $y$ is shifted -to the left (\textit{step ten}) so that it has the same number of digits as $x$. The loop on step eleven will subtract multiples of the +to the left (\textit{step ten}) so that it has the same number of digits as $x$. The loop on step eleven will subtract multiples of the shifted copy of $y$ until $x$ is smaller. Since the leading digit of $y$ is greater than or equal to $\beta/2$ this loop will iterate at most two -times to produce the desired leading digit of the quotient. +times to produce the desired leading digit of the quotient. Now the remainder of the digits can be produced. The equation $\hat q = \lfloor {{x_i \beta + x_{i-1}}\over y_t} \rfloor$ is used to fairly accurately approximate the true quotient digit. The estimation can in theory produce an estimation as high as $2\beta - {2 \over \beta}$ but by -induction the upper quotient digit is correct (\textit{as established on step eleven}) and the estimate must be less than $\beta$. +induction the upper quotient digit is correct (\textit{as established on step eleven}) and the estimate must be less than $\beta$. Recall from section~\ref{sec:divest} that the estimation is never too low but may be too high. The next step of the estimation process is to refine the estimation. The loop on step 13.5 uses $x_i\beta^2 + x_{i-1}\beta + x_{i-2}$ and $q_{i - t - 1}(y_t\beta + y_{t-1})$ as a higher @@ -5473,56 +8454,332 @@ order approximation to adjust the quotient digit. After both phases of estimation the quotient digit may still be off by a value of one\footnote{This is similar to the error introduced by optimizing Barrett reduction.}. Steps 13.6 and 13.7 subtract the multiple of the divisor from the dividend (\textit{Similar to step 3.3 of -algorithm~\ref{fig:raddiv}} and then subsequently add a multiple of the divisor if the quotient was too large. +algorithm~\ref{fig:raddiv}} and then subsequently add a multiple of the divisor if the quotient was too large. -Now that the quotient has been determine finializing the result is a matter of clamping the quotient, fixing the sizes and de-normalizing the +Now that the quotient has been determine finializing the result is a matter of clamping the quotient, fixing the sizes and de-normalizing the remainder. An important aspect of this algorithm seemingly overlooked in other descriptions such as that of Algorithm 14.20 HAC \cite[pp. 598]{HAC} -is that when the estimations are being made (\textit{inside the loop on step 13.5}) that the digits $y_{t-1}$, $x_{i-2}$ and $x_{i-1}$ may lie +is that when the estimations are being made (\textit{inside the loop on step 13.5}) that the digits $y_{t-1}$, $x_{i-2}$ and $x_{i-1}$ may lie outside their respective boundaries. For example, if $t = 0$ or $i \le 1$ then the digits would be undefined. In those cases the digits should -respectively be replaced with a zero. +respectively be replaced with a zero. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_div.c \vspace{-3mm} \begin{alltt} +016 +017 #ifdef BN_MP_DIV_SMALL +018 +019 /* slower bit-bang division... also smaller */ +020 int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) +021 \{ +022 mp_int ta, tb, tq, q; +023 int res, n, n2; +024 +025 /* is divisor zero ? */ +026 if (mp_iszero (b) == MP_YES) \{ +027 return MP_VAL; +028 \} +029 +030 /* if a < b then q=0, r = a */ +031 if (mp_cmp_mag (a, b) == MP_LT) \{ +032 if (d != NULL) \{ +033 res = mp_copy (a, d); +034 \} else \{ +035 res = MP_OKAY; +036 \} +037 if (c != NULL) \{ +038 mp_zero (c); +039 \} +040 return res; +041 \} +042 +043 /* init our temps */ +044 if ((res = mp_init_multi(&ta, &tb, &tq, &q, NULL)) != MP_OKAY) \{ +045 return res; +046 \} +047 +048 +049 mp_set(&tq, 1); +050 n = mp_count_bits(a) - mp_count_bits(b); +051 if (((res = mp_abs(a, &ta)) != MP_OKAY) || +052 ((res = mp_abs(b, &tb)) != MP_OKAY) || +053 ((res = mp_mul_2d(&tb, n, &tb)) != MP_OKAY) || +054 ((res = mp_mul_2d(&tq, n, &tq)) != MP_OKAY)) \{ +055 goto LBL_ERR; +056 \} +057 +058 while (n-- >= 0) \{ +059 if (mp_cmp(&tb, &ta) != MP_GT) \{ +060 if (((res = mp_sub(&ta, &tb, &ta)) != MP_OKAY) || +061 ((res = mp_add(&q, &tq, &q)) != MP_OKAY)) \{ +062 goto LBL_ERR; +063 \} +064 \} +065 if (((res = mp_div_2d(&tb, 1, &tb, NULL)) != MP_OKAY) || +066 ((res = mp_div_2d(&tq, 1, &tq, NULL)) != MP_OKAY)) \{ +067 goto LBL_ERR; +068 \} +069 \} +070 +071 /* now q == quotient and ta == remainder */ +072 n = a->sign; +073 n2 = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; +074 if (c != NULL) \{ +075 mp_exch(c, &q); +076 c->sign = (mp_iszero(c) == MP_YES) ? MP_ZPOS : n2; +077 \} +078 if (d != NULL) \{ +079 mp_exch(d, &ta); +080 d->sign = (mp_iszero(d) == MP_YES) ? MP_ZPOS : n; +081 \} +082 LBL_ERR: +083 mp_clear_multi(&ta, &tb, &tq, &q, NULL); +084 return res; +085 \} +086 +087 #else +088 +089 /* integer signed division. +090 * c*b + d == a [e.g. a/b, c=quotient, d=remainder] +091 * HAC pp.598 Algorithm 14.20 +092 * +093 * Note that the description in HAC is horribly +094 * incomplete. For example, it doesn't consider +095 * the case where digits are removed from 'x' in +096 * the inner loop. It also doesn't consider the +097 * case that y has fewer than three digits, etc.. +098 * +099 * The overall algorithm is as described as +100 * 14.20 from HAC but fixed to treat these cases. +101 */ +102 int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) +103 \{ +104 mp_int q, x, y, t1, t2; +105 int res, n, t, i, norm, neg; +106 +107 /* is divisor zero ? */ +108 if (mp_iszero (b) == MP_YES) \{ +109 return MP_VAL; +110 \} +111 +112 /* if a < b then q=0, r = a */ +113 if (mp_cmp_mag (a, b) == MP_LT) \{ +114 if (d != NULL) \{ +115 res = mp_copy (a, d); +116 \} else \{ +117 res = MP_OKAY; +118 \} +119 if (c != NULL) \{ +120 mp_zero (c); +121 \} +122 return res; +123 \} +124 +125 if ((res = mp_init_size (&q, a->used + 2)) != MP_OKAY) \{ +126 return res; +127 \} +128 q.used = a->used + 2; +129 +130 if ((res = mp_init (&t1)) != MP_OKAY) \{ +131 goto LBL_Q; +132 \} +133 +134 if ((res = mp_init (&t2)) != MP_OKAY) \{ +135 goto LBL_T1; +136 \} +137 +138 if ((res = mp_init_copy (&x, a)) != MP_OKAY) \{ +139 goto LBL_T2; +140 \} +141 +142 if ((res = mp_init_copy (&y, b)) != MP_OKAY) \{ +143 goto LBL_X; +144 \} +145 +146 /* fix the sign */ +147 neg = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; +148 x.sign = y.sign = MP_ZPOS; +149 +150 /* normalize both x and y, ensure that y >= b/2, [b == 2**DIGIT_BIT] */ +151 norm = mp_count_bits(&y) % DIGIT_BIT; +152 if (norm < (int)(DIGIT_BIT-1)) \{ +153 norm = (DIGIT_BIT-1) - norm; +154 if ((res = mp_mul_2d (&x, norm, &x)) != MP_OKAY) \{ +155 goto LBL_Y; +156 \} +157 if ((res = mp_mul_2d (&y, norm, &y)) != MP_OKAY) \{ +158 goto LBL_Y; +159 \} +160 \} else \{ +161 norm = 0; +162 \} +163 +164 /* note hac does 0 based, so if used==5 then its 0,1,2,3,4, e.g. use 4 */ +165 n = x.used - 1; +166 t = y.used - 1; +167 +168 /* while (x >= y*b**n-t) do \{ q[n-t] += 1; x -= y*b**\{n-t\} \} */ +169 if ((res = mp_lshd (&y, n - t)) != MP_OKAY) \{ /* y = y*b**\{n-t\} */ +170 goto LBL_Y; +171 \} +172 +173 while (mp_cmp (&x, &y) != MP_LT) \{ +174 ++(q.dp[n - t]); +175 if ((res = mp_sub (&x, &y, &x)) != MP_OKAY) \{ +176 goto LBL_Y; +177 \} +178 \} +179 +180 /* reset y by shifting it back down */ +181 mp_rshd (&y, n - t); +182 +183 /* step 3. for i from n down to (t + 1) */ +184 for (i = n; i >= (t + 1); i--) \{ +185 if (i > x.used) \{ +186 continue; +187 \} +188 +189 /* step 3.1 if xi == yt then set q\{i-t-1\} to b-1, +190 * otherwise set q\{i-t-1\} to (xi*b + x\{i-1\})/yt */ +191 if (x.dp[i] == y.dp[t]) \{ +192 q.dp[(i - t) - 1] = ((((mp_digit)1) << DIGIT_BIT) - 1); +193 \} else \{ +194 mp_word tmp; +195 tmp = ((mp_word) x.dp[i]) << ((mp_word) DIGIT_BIT); +196 tmp |= ((mp_word) x.dp[i - 1]); +197 tmp /= ((mp_word) y.dp[t]); +198 if (tmp > (mp_word) MP_MASK) \{ +199 tmp = MP_MASK; +200 \} +201 q.dp[(i - t) - 1] = (mp_digit) (tmp & (mp_word) (MP_MASK)); +202 \} +203 +204 /* while (q\{i-t-1\} * (yt * b + y\{t-1\})) > +205 xi * b**2 + xi-1 * b + xi-2 +206 +207 do q\{i-t-1\} -= 1; +208 */ +209 q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] + 1) & MP_MASK; +210 do \{ +211 q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] - 1) & MP_MASK; +212 +213 /* find left hand */ +214 mp_zero (&t1); +215 t1.dp[0] = ((t - 1) < 0) ? 0 : y.dp[t - 1]; +216 t1.dp[1] = y.dp[t]; +217 t1.used = 2; +218 if ((res = mp_mul_d (&t1, q.dp[(i - t) - 1], &t1)) != MP_OKAY) \{ +219 goto LBL_Y; +220 \} +221 +222 /* find right hand */ +223 t2.dp[0] = ((i - 2) < 0) ? 0 : x.dp[i - 2]; +224 t2.dp[1] = ((i - 1) < 0) ? 0 : x.dp[i - 1]; +225 t2.dp[2] = x.dp[i]; +226 t2.used = 3; +227 \} while (mp_cmp_mag(&t1, &t2) == MP_GT); +228 +229 /* step 3.3 x = x - q\{i-t-1\} * y * b**\{i-t-1\} */ +230 if ((res = mp_mul_d (&y, q.dp[(i - t) - 1], &t1)) != MP_OKAY) \{ +231 goto LBL_Y; +232 \} +233 +234 if ((res = mp_lshd (&t1, (i - t) - 1)) != MP_OKAY) \{ +235 goto LBL_Y; +236 \} +237 +238 if ((res = mp_sub (&x, &t1, &x)) != MP_OKAY) \{ +239 goto LBL_Y; +240 \} +241 +242 /* if x < 0 then \{ x = x + y*b**\{i-t-1\}; q\{i-t-1\} -= 1; \} */ +243 if (x.sign == MP_NEG) \{ +244 if ((res = mp_copy (&y, &t1)) != MP_OKAY) \{ +245 goto LBL_Y; +246 \} +247 if ((res = mp_lshd (&t1, (i - t) - 1)) != MP_OKAY) \{ +248 goto LBL_Y; +249 \} +250 if ((res = mp_add (&x, &t1, &x)) != MP_OKAY) \{ +251 goto LBL_Y; +252 \} +253 +254 q.dp[(i - t) - 1] = (q.dp[(i - t) - 1] - 1UL) & MP_MASK; +255 \} +256 \} +257 +258 /* now q is the quotient and x is the remainder +259 * [which we have to normalize] +260 */ +261 +262 /* get sign before writing to c */ +263 x.sign = (x.used == 0) ? MP_ZPOS : a->sign; +264 +265 if (c != NULL) \{ +266 mp_clamp (&q); +267 mp_exch (&q, c); +268 c->sign = neg; +269 \} +270 +271 if (d != NULL) \{ +272 if ((res = mp_div_2d (&x, norm, &x, NULL)) != MP_OKAY) \{ +273 goto LBL_Y; +274 \} +275 mp_exch (&x, d); +276 \} +277 +278 res = MP_OKAY; +279 +280 LBL_Y:mp_clear (&y); +281 LBL_X:mp_clear (&x); +282 LBL_T2:mp_clear (&t2); +283 LBL_T1:mp_clear (&t1); +284 LBL_Q:mp_clear (&q); +285 return res; +286 \} +287 +288 #endif +289 +290 #endif +291 \end{alltt} \end{small} The implementation of this algorithm differs slightly from the pseudo code presented previously. In this algorithm either of the quotient $c$ or remainder $d$ may be passed as a \textbf{NULL} pointer which indicates their value is not desired. For example, the C code to call the division -algorithm with only the quotient is +algorithm with only the quotient is \begin{verbatim} mp_div(&a, &b, &c, NULL); /* c = [a/b] */ \end{verbatim} -Lines 109 and 113 handle the two trivial cases of inputs which are division by zero and dividend smaller than the divisor -respectively. After the two trivial cases all of the temporary variables are initialized. Line 148 determines the sign of -the quotient and line 148 ensures that both $x$ and $y$ are positive. +Lines 108 and 113 handle the two trivial cases of inputs which are division by zero and dividend smaller than the divisor +respectively. After the two trivial cases all of the temporary variables are initialized. Line 147 determines the sign of +the quotient and line 148 ensures that both $x$ and $y$ are positive. The number of bits in the leading digit is calculated on line 151. Implictly an mp\_int with $r$ digits will require $lg(\beta)(r-1) + k$ bits of precision which when reduced modulo $lg(\beta)$ produces the value of $k$. In this case $k$ is the number of bits in the leading digit which is exactly what is required. For the algorithm to operate $k$ must equal $lg(\beta) - 1$ and when it does not the inputs must be normalized by shifting them to the left by $lg(\beta) - 1 - k$ bits. -Throughout the variables $n$ and $t$ will represent the highest digit of $x$ and $y$ respectively. These are first used to produce the +Throughout the variables $n$ and $t$ will represent the highest digit of $x$ and $y$ respectively. These are first used to produce the leading digit of the quotient. The loop beginning on line 184 will produce the remainder of the quotient digits. -The conditional ``continue'' on line 187 is used to prevent the algorithm from reading past the leading edge of $x$ which can occur when the +The conditional ``continue'' on line 186 is used to prevent the algorithm from reading past the leading edge of $x$ which can occur when the algorithm eliminates multiple non-zero digits in a single iteration. This ensures that $x_i$ is always non-zero since by definition the digits -above the $i$'th position $x$ must be zero in order for the quotient to be precise\footnote{Precise as far as integer division is concerned.}. +above the $i$'th position $x$ must be zero in order for the quotient to be precise\footnote{Precise as far as integer division is concerned.}. -Lines 214, 216 and 223 through 225 manually construct the high accuracy estimations by setting the digits of the two mp\_int -variables directly. +Lines 214, 216 and 223 through 225 manually construct the high accuracy estimations by setting the digits of the two mp\_int +variables directly. \section{Single Digit Helpers} -This section briefly describes a series of single digit helper algorithms which come in handy when working with small constants. All of +This section briefly describes a series of single digit helper algorithms which come in handy when working with small constants. All of the helper functions assume the single digit input is positive and will treat them as such. \subsection{Single Digit Addition and Subtraction} -Both addition and subtraction are performed by ``cheating'' and using mp\_set followed by the higher level addition or subtraction +Both addition and subtraction are performed by ``cheating'' and using mp\_set followed by the higher level addition or subtraction algorithms. As a result these algorithms are subtantially simpler with a slight cost in performance. \newpage\begin{figure}[!here] @@ -5550,6 +8807,99 @@ This algorithm initiates a temporary mp\_int with the value of the single digit \hspace{-5.1mm}{\bf File}: bn\_mp\_add\_d.c \vspace{-3mm} \begin{alltt} +016 +017 /* single digit addition */ +018 int +019 mp_add_d (mp_int * a, mp_digit b, mp_int * c) +020 \{ +021 int res, ix, oldused; +022 mp_digit *tmpa, *tmpc, mu; +023 +024 /* grow c as required */ +025 if (c->alloc < (a->used + 1)) \{ +026 if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) \{ +027 return res; +028 \} +029 \} +030 +031 /* if a is negative and |a| >= b, call c = |a| - b */ +032 if ((a->sign == MP_NEG) && ((a->used > 1) || (a->dp[0] >= b))) \{ +033 /* temporarily fix sign of a */ +034 a->sign = MP_ZPOS; +035 +036 /* c = |a| - b */ +037 res = mp_sub_d(a, b, c); +038 +039 /* fix sign */ +040 a->sign = c->sign = MP_NEG; +041 +042 /* clamp */ +043 mp_clamp(c); +044 +045 return res; +046 \} +047 +048 /* old number of used digits in c */ +049 oldused = c->used; +050 +051 /* sign always positive */ +052 c->sign = MP_ZPOS; +053 +054 /* source alias */ +055 tmpa = a->dp; +056 +057 /* destination alias */ +058 tmpc = c->dp; +059 +060 /* if a is positive */ +061 if (a->sign == MP_ZPOS) \{ +062 /* add digit, after this we're propagating +063 * the carry. +064 */ +065 *tmpc = *tmpa++ + b; +066 mu = *tmpc >> DIGIT_BIT; +067 *tmpc++ &= MP_MASK; +068 +069 /* now handle rest of the digits */ +070 for (ix = 1; ix < a->used; ix++) \{ +071 *tmpc = *tmpa++ + mu; +072 mu = *tmpc >> DIGIT_BIT; +073 *tmpc++ &= MP_MASK; +074 \} +075 /* set final carry */ +076 ix++; +077 *tmpc++ = mu; +078 +079 /* setup size */ +080 c->used = a->used + 1; +081 \} else \{ +082 /* a was negative and |a| < b */ +083 c->used = 1; +084 +085 /* the result is a single digit */ +086 if (a->used == 1) \{ +087 *tmpc++ = b - a->dp[0]; +088 \} else \{ +089 *tmpc++ = b; +090 \} +091 +092 /* setup count so the clearing of oldused +093 * can fall through correctly +094 */ +095 ix = 1; +096 \} +097 +098 /* now zero to oldused */ +099 while (ix++ < oldused) \{ +100 *tmpc++ = 0; +101 \} +102 mp_clamp(c); +103 +104 return MP_OKAY; +105 \} +106 +107 #endif +108 \end{alltt} \end{small} @@ -5593,22 +8943,82 @@ only has one digit. \caption{Algorithm mp\_mul\_d} \end{figure} \textbf{Algorithm mp\_mul\_d.} -This algorithm quickly multiplies an mp\_int by a small single digit value. It is specially tailored to the job and has a minimal of overhead. -Unlike the full multiplication algorithms this algorithm does not require any significnat temporary storage or memory allocations. +This algorithm quickly multiplies an mp\_int by a small single digit value. It is specially tailored to the job and has a minimal of overhead. +Unlike the full multiplication algorithms this algorithm does not require any significnat temporary storage or memory allocations. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_mul\_d.c \vspace{-3mm} \begin{alltt} +016 +017 /* multiply by a digit */ +018 int +019 mp_mul_d (mp_int * a, mp_digit b, mp_int * c) +020 \{ +021 mp_digit u, *tmpa, *tmpc; +022 mp_word r; +023 int ix, res, olduse; +024 +025 /* make sure c is big enough to hold a*b */ +026 if (c->alloc < (a->used + 1)) \{ +027 if ((res = mp_grow (c, a->used + 1)) != MP_OKAY) \{ +028 return res; +029 \} +030 \} +031 +032 /* get the original destinations used count */ +033 olduse = c->used; +034 +035 /* set the sign */ +036 c->sign = a->sign; +037 +038 /* alias for a->dp [source] */ +039 tmpa = a->dp; +040 +041 /* alias for c->dp [dest] */ +042 tmpc = c->dp; +043 +044 /* zero carry */ +045 u = 0; +046 +047 /* compute columns */ +048 for (ix = 0; ix < a->used; ix++) \{ +049 /* compute product and carry sum for this term */ +050 r = (mp_word)u + ((mp_word)*tmpa++ * (mp_word)b); +051 +052 /* mask off higher bits to get a single digit */ +053 *tmpc++ = (mp_digit) (r & ((mp_word) MP_MASK)); +054 +055 /* send carry into next iteration */ +056 u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); +057 \} +058 +059 /* store final carry [if any] and increment ix offset */ +060 *tmpc++ = u; +061 ++ix; +062 +063 /* now zero digits above the top */ +064 while (ix++ < olduse) \{ +065 *tmpc++ = 0; +066 \} +067 +068 /* set used count */ +069 c->used = a->used + 1; +070 mp_clamp(c); +071 +072 return MP_OKAY; +073 \} +074 #endif +075 \end{alltt} \end{small} -In this implementation the destination $c$ may point to the same mp\_int as the source $a$ since the result is written after the digit is -read from the source. This function uses pointer aliases $tmpa$ and $tmpc$ for the digits of $a$ and $c$ respectively. +In this implementation the destination $c$ may point to the same mp\_int as the source $a$ since the result is written after the digit is +read from the source. This function uses pointer aliases $tmpa$ and $tmpc$ for the digits of $a$ and $c$ respectively. \subsection{Single Digit Division} Like the single digit multiplication algorithm, single digit division is also a fairly common algorithm used in radix conversion. Since the -divisor is only a single digit a specialized variant of the division algorithm can be used to compute the quotient. +divisor is only a single digit a specialized variant of the division algorithm can be used to compute the quotient. \newpage\begin{figure}[!here] \begin{small} @@ -5645,40 +9055,136 @@ divisor is only a single digit a specialized variant of the division algorithm c \textbf{Algorithm mp\_div\_d.} This algorithm divides the mp\_int $a$ by the single mp\_digit $b$ using an optimized approach. Essentially in every iteration of the algorithm another digit of the dividend is reduced and another digit of quotient produced. Provided $b < \beta$ the value of $\hat w$ -after step 7.1 will be limited such that $0 \le \lfloor \hat w / b \rfloor < \beta$. +after step 7.1 will be limited such that $0 \le \lfloor \hat w / b \rfloor < \beta$. If the divisor $b$ is equal to three a variant of this algorithm is used which is called mp\_div\_3. It replaces the division by three with a multiplication by $\lfloor \beta / 3 \rfloor$ and the appropriate shift and residual fixup. In essence it is much like the Barrett reduction -from chapter seven. +from chapter seven. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_div\_d.c \vspace{-3mm} \begin{alltt} +016 +017 static int s_is_power_of_two(mp_digit b, int *p) +018 \{ +019 int x; +020 +021 /* fast return if no power of two */ +022 if ((b == 0) || ((b & (b-1)) != 0)) \{ +023 return 0; +024 \} +025 +026 for (x = 0; x < DIGIT_BIT; x++) \{ +027 if (b == (((mp_digit)1)<dp[0] & ((((mp_digit)1)<used)) != MP_OKAY) \{ +079 return res; +080 \} +081 +082 q.used = a->used; +083 q.sign = a->sign; +084 w = 0; +085 for (ix = a->used - 1; ix >= 0; ix--) \{ +086 w = (w << ((mp_word)DIGIT_BIT)) | ((mp_word)a->dp[ix]); +087 +088 if (w >= b) \{ +089 t = (mp_digit)(w / b); +090 w -= ((mp_word)t) * ((mp_word)b); +091 \} else \{ +092 t = 0; +093 \} +094 q.dp[ix] = (mp_digit)t; +095 \} +096 +097 if (d != NULL) \{ +098 *d = (mp_digit)w; +099 \} +100 +101 if (c != NULL) \{ +102 mp_clamp(&q); +103 mp_exch(&q, c); +104 \} +105 mp_clear(&q); +106 +107 return res; +108 \} +109 +110 #endif +111 \end{alltt} \end{small} Like the implementation of algorithm mp\_div this algorithm allows either of the quotient or remainder to be passed as a \textbf{NULL} pointer to indicate the respective value is not required. This allows a trivial single digit modular reduction algorithm, mp\_mod\_d to be created. -The division and remainder on lines 44 and @45,%@ can be replaced often by a single division on most processors. For example, the 32-bit x86 based -processors can divide a 64-bit quantity by a 32-bit quantity and produce the quotient and remainder simultaneously. Unfortunately the GCC -compiler does not recognize that optimization and will actually produce two function calls to find the quotient and remainder respectively. +The division and remainder on lines 89 and 90 can be replaced often by a single division on most processors. For example, the 32-bit x86 based +processors can divide a 64-bit quantity by a 32-bit quantity and produce the quotient and remainder simultaneously. Unfortunately the GCC +compiler does not recognize that optimization and will actually produce two function calls to find the quotient and remainder respectively. \subsection{Single Digit Root Extraction} -Finding the $n$'th root of an integer is fairly easy as far as numerical analysis is concerned. Algorithms such as the Newton-Raphson approximation -(\ref{eqn:newton}) series will converge very quickly to a root for any continuous function $f(x)$. +Finding the $n$'th root of an integer is fairly easy as far as numerical analysis is concerned. Algorithms such as the Newton-Raphson approximation +(\ref{eqn:newton}) series will converge very quickly to a root for any continuous function $f(x)$. \begin{equation} x_{i+1} = x_i - {f(x_i) \over f'(x_i)} \label{eqn:newton} \end{equation} -In this case the $n$'th root is desired and $f(x) = x^n - a$ where $a$ is the integer of which the root is desired. The derivative of $f(x)$ is +In this case the $n$'th root is desired and $f(x) = x^n - a$ where $a$ is the integer of which the root is desired. The derivative of $f(x)$ is simply $f'(x) = nx^{n - 1}$. Of particular importance is that this algorithm will be used over the integers not over the a more continuous domain -such as the real numbers. As a result the root found can be above the true root by few and must be manually adjusted. Ideally at the end of the -algorithm the $n$'th root $b$ of an integer $a$ is desired such that $b^n \le a$. +such as the real numbers. As a result the root found can be above the true root by few and must be manually adjusted. Ideally at the end of the +algorithm the $n$'th root $b$ of an integer $a$ is desired such that $b^n \le a$. \newpage\begin{figure}[!here] \begin{small} @@ -5719,24 +9225,35 @@ algorithm the $n$'th root $b$ of an integer $a$ is desired such that $b^n \le a$ \textbf{Algorithm mp\_n\_root.} This algorithm finds the integer $n$'th root of an input using the Newton-Raphson approach. It is partially optimized based on the observation that the numerator of ${f(x) \over f'(x)}$ can be derived from a partial denominator. That is at first the denominator is calculated by finding -$x^{b - 1}$. This value can then be multiplied by $x$ and have $a$ subtracted from it to find the numerator. This saves a total of $b - 1$ -multiplications by t$1$ inside the loop. +$x^{b - 1}$. This value can then be multiplied by $x$ and have $a$ subtracted from it to find the numerator. This saves a total of $b - 1$ +multiplications by t$1$ inside the loop. The initial value of the approximation is t$2 = 2$ which allows the algorithm to start with very small values and quickly converge on the -root. Ideally this algorithm is meant to find the $n$'th root of an input where $n$ is bounded by $2 \le n \le 5$. +root. Ideally this algorithm is meant to find the $n$'th root of an input where $n$ is bounded by $2 \le n \le 5$. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_n\_root.c \vspace{-3mm} \begin{alltt} +016 +017 /* wrapper function for mp_n_root_ex() +018 * computes c = (a)**(1/b) such that (c)**b <= a and (c+1)**b > a +019 */ +020 int mp_n_root (mp_int * a, mp_digit b, mp_int * c) +021 \{ +022 return mp_n_root_ex(a, b, c, 0); +023 \} +024 +025 #endif +026 \end{alltt} \end{small} \section{Random Number Generation} -Random numbers come up in a variety of activities from public key cryptography to simple simulations and various randomized algorithms. Pollard-Rho +Random numbers come up in a variety of activities from public key cryptography to simple simulations and various randomized algorithms. Pollard-Rho factoring for example, can make use of random values as starting points to find factors of a composite integer. In this case the algorithm presented -is solely for simulations and not intended for cryptographic use. +is solely for simulations and not intended for cryptographic use. \newpage\begin{figure}[!here] \begin{small} @@ -5764,12 +9281,49 @@ is solely for simulations and not intended for cryptographic use. \textbf{Algorithm mp\_rand.} This algorithm produces a pseudo-random integer of $b$ digits. By ensuring that the first digit is non-zero the algorithm also guarantees that the final result has at least $b$ digits. It relies heavily on a third-part random number generator which should ideally generate uniformly all of -the integers from $0$ to $\beta - 1$. +the integers from $0$ to $\beta - 1$. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_rand.c \vspace{-3mm} \begin{alltt} +016 +017 /* makes a pseudo-random int of a given size */ +018 int +019 mp_rand (mp_int * a, int digits) +020 \{ +021 int res; +022 mp_digit d; +023 +024 mp_zero (a); +025 if (digits <= 0) \{ +026 return MP_OKAY; +027 \} +028 +029 /* first place a random non-zero digit */ +030 do \{ +031 d = ((mp_digit) abs (MP_GEN_RANDOM())) & MP_MASK; +032 \} while (d == 0); +033 +034 if ((res = mp_add_d (a, d, a)) != MP_OKAY) \{ +035 return res; +036 \} +037 +038 while (--digits > 0) \{ +039 if ((res = mp_lshd (a, 1)) != MP_OKAY) \{ +040 return res; +041 \} +042 +043 if ((res = mp_add_d (a, ((mp_digit) abs (MP_GEN_RANDOM())), a)) != MP_OK + AY) \{ +044 return res; +045 \} +046 \} +047 +048 return MP_OKAY; +049 \} +050 #endif +051 \end{alltt} \end{small} @@ -5779,7 +9333,7 @@ be given a string of characters such as ``114585'' and turn it into the radix-$\ into a program. \subsection{Reading Radix-n Input} -For the purposes of this text we will assume that a simple lower ASCII map (\ref{fig:ASC}) is used for the values of from $0$ to $63$ to +For the purposes of this text we will assume that a simple lower ASCII map (\ref{fig:ASC}) is used for the values of from $0$ to $63$ to printable characters. For example, when the character ``N'' is read it represents the integer $23$. The first $16$ characters of the map are for the common representations up to hexadecimal. After that they match the ``base64'' encoding scheme which are suitable chosen such that they are printable. While outputting as base64 may not be too helpful for human operators it does allow communication via non binary @@ -5789,7 +9343,7 @@ mediums. \begin{center} \begin{tabular}{cc|cc|cc|cc} \hline \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} \\ -\hline +\hline 0 & 0 & 1 & 1 & 2 & 2 & 3 & 3 \\ 4 & 4 & 5 & 5 & 6 & 6 & 7 & 7 \\ 8 & 8 & 9 & 9 & 10 & A & 11 & B \\ @@ -5843,7 +9397,7 @@ mediums. \caption{Algorithm mp\_read\_radix} \end{figure} \textbf{Algorithm mp\_read\_radix.} -This algorithm will read an ASCII string and produce the radix-$\beta$ mp\_int representation of the same integer. A minus symbol ``-'' may precede the +This algorithm will read an ASCII string and produce the radix-$\beta$ mp\_int representation of the same integer. A minus symbol ``-'' may precede the string to indicate the value is negative, otherwise it is assumed to be positive. The algorithm will read up to $sn$ characters from the input and will stop when it reads a character it cannot map the algorithm stops reading characters from the string. This allows numbers to be embedded as part of larger input without any significant problem. @@ -5852,11 +9406,77 @@ as part of larger input without any significant problem. \hspace{-5.1mm}{\bf File}: bn\_mp\_read\_radix.c \vspace{-3mm} \begin{alltt} +016 +017 /* read a string [ASCII] in a given radix */ +018 int mp_read_radix (mp_int * a, const char *str, int radix) +019 \{ +020 int y, res, neg; +021 char ch; +022 +023 /* zero the digit bignum */ +024 mp_zero(a); +025 +026 /* make sure the radix is ok */ +027 if ((radix < 2) || (radix > 64)) \{ +028 return MP_VAL; +029 \} +030 +031 /* if the leading digit is a +032 * minus set the sign to negative. +033 */ +034 if (*str == '-') \{ +035 ++str; +036 neg = MP_NEG; +037 \} else \{ +038 neg = MP_ZPOS; +039 \} +040 +041 /* set the integer to the default of zero */ +042 mp_zero (a); +043 +044 /* process each digit of the string */ +045 while (*str != '\symbol{92}0') \{ +046 /* if the radix <= 36 the conversion is case insensitive +047 * this allows numbers like 1AB and 1ab to represent the same value +048 * [e.g. in hex] +049 */ +050 ch = (radix <= 36) ? (char)toupper((int)*str) : *str; +051 for (y = 0; y < 64; y++) \{ +052 if (ch == mp_s_rmap[y]) \{ +053 break; +054 \} +055 \} +056 +057 /* if the char was found in the map +058 * and is less than the given radix add it +059 * to the number, otherwise exit the loop. +060 */ +061 if (y < radix) \{ +062 if ((res = mp_mul_d (a, (mp_digit) radix, a)) != MP_OKAY) \{ +063 return res; +064 \} +065 if ((res = mp_add_d (a, (mp_digit) y, a)) != MP_OKAY) \{ +066 return res; +067 \} +068 \} else \{ +069 break; +070 \} +071 ++str; +072 \} +073 +074 /* set the sign only if a != 0 */ +075 if (mp_iszero(a) != MP_YES) \{ +076 a->sign = neg; +077 \} +078 return MP_OKAY; +079 \} +080 #endif +081 \end{alltt} \end{small} \subsection{Generating Radix-$n$ Output} -Generating radix-$n$ output is fairly trivial with a division and remainder algorithm. +Generating radix-$n$ output is fairly trivial with a division and remainder algorithm. \newpage\begin{figure}[!here] \begin{small} @@ -5890,10 +9510,10 @@ Generating radix-$n$ output is fairly trivial with a division and remainder algo \caption{Algorithm mp\_toradix} \end{figure} \textbf{Algorithm mp\_toradix.} -This algorithm computes the radix-$r$ representation of an mp\_int $a$. The ``digits'' of the representation are extracted by reducing +This algorithm computes the radix-$r$ representation of an mp\_int $a$. The ``digits'' of the representation are extracted by reducing successive powers of $\lfloor a / r^k \rfloor$ the input modulo $r$ until $r^k > a$. Note that instead of actually dividing by $r^k$ in each iteration the quotient $\lfloor a / r \rfloor$ is saved for the next iteration. As a result a series of trivial $n \times 1$ divisions -are required instead of a series of $n \times k$ divisions. One design flaw of this approach is that the digits are produced in the reverse order +are required instead of a series of $n \times k$ divisions. One design flaw of this approach is that the digits are produced in the reverse order (see~\ref{fig:mpradix}). To remedy this flaw the digits must be swapped or simply ``reversed''. \begin{figure} @@ -5916,11 +9536,67 @@ are required instead of a series of $n \times k$ divisions. One design flaw of \hspace{-5.1mm}{\bf File}: bn\_mp\_toradix.c \vspace{-3mm} \begin{alltt} +016 +017 /* stores a bignum as a ASCII string in a given radix (2..64) */ +018 int mp_toradix (mp_int * a, char *str, int radix) +019 \{ +020 int res, digs; +021 mp_int t; +022 mp_digit d; +023 char *_s = str; +024 +025 /* check range of the radix */ +026 if ((radix < 2) || (radix > 64)) \{ +027 return MP_VAL; +028 \} +029 +030 /* quick out if its zero */ +031 if (mp_iszero(a) == MP_YES) \{ +032 *str++ = '0'; +033 *str = '\symbol{92}0'; +034 return MP_OKAY; +035 \} +036 +037 if ((res = mp_init_copy (&t, a)) != MP_OKAY) \{ +038 return res; +039 \} +040 +041 /* if it is negative output a - */ +042 if (t.sign == MP_NEG) \{ +043 ++_s; +044 *str++ = '-'; +045 t.sign = MP_ZPOS; +046 \} +047 +048 digs = 0; +049 while (mp_iszero (&t) == MP_NO) \{ +050 if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) \{ +051 mp_clear (&t); +052 return res; +053 \} +054 *str++ = mp_s_rmap[d]; +055 ++digs; +056 \} +057 +058 /* reverse the digits of the string. In this case _s points +059 * to the first digit [exluding the sign] of the number] +060 */ +061 bn_reverse ((unsigned char *)_s, digs); +062 +063 /* append a NULL so the string is properly terminated */ +064 *str = '\symbol{92}0'; +065 +066 mp_clear (&t); +067 return MP_OKAY; +068 \} +069 +070 #endif +071 \end{alltt} \end{small} \chapter{Number Theoretic Algorithms} -This chapter discusses several fundamental number theoretic algorithms such as the greatest common divisor, least common multiple and Jacobi +This chapter discusses several fundamental number theoretic algorithms such as the greatest common divisor, least common multiple and Jacobi symbol computation. These algorithms arise as essential components in several key cryptographic algorithms such as the RSA public key algorithm and various Sieve based factoring algorithms. @@ -5930,7 +9606,7 @@ both $a$ and $b$. That is, $k$ is the largest integer such that $0 \equiv a \mb simultaneously. The most common approach (cite) is to reduce one input modulo another. That is if $a$ and $b$ are divisible by some integer $k$ and if $qa + r = b$ then -$r$ is also divisible by $k$. The reduction pattern follows $\left < a , b \right > \rightarrow \left < b, a \mbox{ mod } b \right >$. +$r$ is also divisible by $k$. The reduction pattern follows $\left < a , b \right > \rightarrow \left < b, a \mbox{ mod } b \right >$. \newpage\begin{figure}[!here] \begin{small} @@ -5954,9 +9630,9 @@ $r$ is also divisible by $k$. The reduction pattern follows $\left < a , b \rig \end{figure} This algorithm will quickly converge on the greatest common divisor since the residue $r$ tends diminish rapidly. However, divisions are -relatively expensive operations to perform and should ideally be avoided. There is another approach based on a similar relationship of -greatest common divisors. The faster approach is based on the observation that if $k$ divides both $a$ and $b$ it will also divide $a - b$. -In particular, we would like $a - b$ to decrease in magnitude which implies that $b \ge a$. +relatively expensive operations to perform and should ideally be avoided. There is another approach based on a similar relationship of +greatest common divisors. The faster approach is based on the observation that if $k$ divides both $a$ and $b$ it will also divide $a - b$. +In particular, we would like $a - b$ to decrease in magnitude which implies that $b \ge a$. \begin{figure}[!here] \begin{small} @@ -5980,17 +9656,17 @@ In particular, we would like $a - b$ to decrease in magnitude which implies that \textbf{Proof} \textit{Algorithm~\ref{fig:gcd2} will return the greatest common divisor of $a$ and $b$.} The algorithm in figure~\ref{fig:gcd2} will eventually terminate since $b \ge a$ the subtraction in step 1.2 will be a value less than $b$. In other -words in every iteration that tuple $\left < a, b \right >$ decrease in magnitude until eventually $a = b$. Since both $a$ and $b$ are always -divisible by the greatest common divisor (\textit{until the last iteration}) and in the last iteration of the algorithm $b = 0$, therefore, in the +words in every iteration that tuple $\left < a, b \right >$ decrease in magnitude until eventually $a = b$. Since both $a$ and $b$ are always +divisible by the greatest common divisor (\textit{until the last iteration}) and in the last iteration of the algorithm $b = 0$, therefore, in the second to last iteration of the algorithm $b = a$ and clearly $(a, a) = a$ which concludes the proof. \textbf{QED}. -As a matter of practicality algorithm \ref{fig:gcd1} decreases far too slowly to be useful. Specially if $b$ is much larger than $a$ such that +As a matter of practicality algorithm \ref{fig:gcd1} decreases far too slowly to be useful. Specially if $b$ is much larger than $a$ such that $b - a$ is still very much larger than $a$. A simple addition to the algorithm is to divide $b - a$ by a power of some integer $p$ which does not divide the greatest common divisor but will divide $b - a$. In this case ${b - a} \over p$ is also an integer and still divisible by the greatest common divisor. -However, instead of factoring $b - a$ to find a suitable value of $p$ the powers of $p$ can be removed from $a$ and $b$ that are in common first. -Then inside the loop whenever $b - a$ is divisible by some power of $p$ it can be safely removed. +However, instead of factoring $b - a$ to find a suitable value of $p$ the powers of $p$ can be removed from $a$ and $b$ that are in common first. +Then inside the loop whenever $b - a$ is divisible by some power of $p$ it can be safely removed. \begin{figure}[!here] \begin{small} @@ -6023,14 +9699,14 @@ Then inside the loop whenever $b - a$ is divisible by some power of $p$ it can b \label{fig:gcd3} \end{figure} -This algorithm is based on the first except it removes powers of $p$ first and inside the main loop to ensure the tuple $\left < a, b \right >$ +This algorithm is based on the first except it removes powers of $p$ first and inside the main loop to ensure the tuple $\left < a, b \right >$ decreases more rapidly. The first loop on step two removes powers of $p$ that are in common. A count, $k$, is kept which will present a common -divisor of $p^k$. After step two the remaining common divisor of $a$ and $b$ cannot be divisible by $p$. This means that $p$ can be safely -divided out of the difference $b - a$ so long as the division leaves no remainder. +divisor of $p^k$. After step two the remaining common divisor of $a$ and $b$ cannot be divisible by $p$. This means that $p$ can be safely +divided out of the difference $b - a$ so long as the division leaves no remainder. In particular the value of $p$ should be chosen such that the division on step 5.3.1 occur often. It also helps that division by $p$ be easy to compute. The ideal choice of $p$ is two since division by two amounts to a right logical shift. Another important observation is that by -step five both $a$ and $b$ are odd. Therefore, the diffrence $b - a$ must be even which means that each iteration removes one bit from the +step five both $a$ and $b$ are odd. Therefore, the diffrence $b - a$ must be even which means that each iteration removes one bit from the largest of the pair. \subsection{Complete Greatest Common Divisor} @@ -6078,15 +9754,15 @@ and will produce the greatest common divisor. \textbf{Algorithm mp\_gcd.} This algorithm will produce the greatest common divisor of two mp\_ints $a$ and $b$. The algorithm was originally based on Algorithm B of Knuth \cite[pp. 338]{TAOCPV2} but has been modified to be simpler to explain. In theory it achieves the same asymptotic working time as -Algorithm B and in practice this appears to be true. +Algorithm B and in practice this appears to be true. -The first two steps handle the cases where either one of or both inputs are zero. If either input is zero the greatest common divisor is the -largest input or zero if they are both zero. If the inputs are not trivial than $u$ and $v$ are assigned the absolute values of +The first two steps handle the cases where either one of or both inputs are zero. If either input is zero the greatest common divisor is the +largest input or zero if they are both zero. If the inputs are not trivial than $u$ and $v$ are assigned the absolute values of $a$ and $b$ respectively and the algorithm will proceed to reduce the pair. Step five will divide out any common factors of two and keep track of the count in the variable $k$. After this step, two is no longer a -factor of the remaining greatest common divisor between $u$ and $v$ and can be safely evenly divided out of either whenever they are even. Step -six and seven ensure that the $u$ and $v$ respectively have no more factors of two. At most only one of the while--loops will iterate since +factor of the remaining greatest common divisor between $u$ and $v$ and can be safely evenly divided out of either whenever they are even. Step +six and seven ensure that the $u$ and $v$ respectively have no more factors of two. At most only one of the while--loops will iterate since they cannot both be even. By step eight both of $u$ and $v$ are odd which is required for the inner logic. First the pair are swapped such that $v$ is equal to @@ -6094,29 +9770,115 @@ or greater than $u$. This ensures that the subtraction on step 8.2 will always factors of two from the difference $u$ to ensure that in the next iteration of the loop both are once again odd. After $v = 0$ occurs the variable $u$ has the greatest common divisor of the pair $\left < u, v \right >$ just after step six. The result -must be adjusted by multiplying by the common factors of two ($2^k$) removed earlier. +must be adjusted by multiplying by the common factors of two ($2^k$) removed earlier. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_gcd.c \vspace{-3mm} \begin{alltt} +016 +017 /* Greatest Common Divisor using the binary method */ +018 int mp_gcd (mp_int * a, mp_int * b, mp_int * c) +019 \{ +020 mp_int u, v; +021 int k, u_lsb, v_lsb, res; +022 +023 /* either zero than gcd is the largest */ +024 if (mp_iszero (a) == MP_YES) \{ +025 return mp_abs (b, c); +026 \} +027 if (mp_iszero (b) == MP_YES) \{ +028 return mp_abs (a, c); +029 \} +030 +031 /* get copies of a and b we can modify */ +032 if ((res = mp_init_copy (&u, a)) != MP_OKAY) \{ +033 return res; +034 \} +035 +036 if ((res = mp_init_copy (&v, b)) != MP_OKAY) \{ +037 goto LBL_U; +038 \} +039 +040 /* must be positive for the remainder of the algorithm */ +041 u.sign = v.sign = MP_ZPOS; +042 +043 /* B1. Find the common power of two for u and v */ +044 u_lsb = mp_cnt_lsb(&u); +045 v_lsb = mp_cnt_lsb(&v); +046 k = MIN(u_lsb, v_lsb); +047 +048 if (k > 0) \{ +049 /* divide the power of two out */ +050 if ((res = mp_div_2d(&u, k, &u, NULL)) != MP_OKAY) \{ +051 goto LBL_V; +052 \} +053 +054 if ((res = mp_div_2d(&v, k, &v, NULL)) != MP_OKAY) \{ +055 goto LBL_V; +056 \} +057 \} +058 +059 /* divide any remaining factors of two out */ +060 if (u_lsb != k) \{ +061 if ((res = mp_div_2d(&u, u_lsb - k, &u, NULL)) != MP_OKAY) \{ +062 goto LBL_V; +063 \} +064 \} +065 +066 if (v_lsb != k) \{ +067 if ((res = mp_div_2d(&v, v_lsb - k, &v, NULL)) != MP_OKAY) \{ +068 goto LBL_V; +069 \} +070 \} +071 +072 while (mp_iszero(&v) == MP_NO) \{ +073 /* make sure v is the largest */ +074 if (mp_cmp_mag(&u, &v) == MP_GT) \{ +075 /* swap u and v to make sure v is >= u */ +076 mp_exch(&u, &v); +077 \} +078 +079 /* subtract smallest from largest */ +080 if ((res = s_mp_sub(&v, &u, &v)) != MP_OKAY) \{ +081 goto LBL_V; +082 \} +083 +084 /* Divide out all factors of two */ +085 if ((res = mp_div_2d(&v, mp_cnt_lsb(&v), &v, NULL)) != MP_OKAY) \{ +086 goto LBL_V; +087 \} +088 \} +089 +090 /* multiply by 2**k which we divided out at the beginning */ +091 if ((res = mp_mul_2d (&u, k, c)) != MP_OKAY) \{ +092 goto LBL_V; +093 \} +094 c->sign = MP_ZPOS; +095 res = MP_OKAY; +096 LBL_V:mp_clear (&u); +097 LBL_U:mp_clear (&v); +098 return res; +099 \} +100 #endif +101 \end{alltt} \end{small} -This function makes use of the macros mp\_iszero and mp\_iseven. The former evaluates to $1$ if the input mp\_int is equivalent to the +This function makes use of the macros mp\_iszero and mp\_iseven. The former evaluates to $1$ if the input mp\_int is equivalent to the integer zero otherwise it evaluates to $0$. The latter evaluates to $1$ if the input mp\_int represents a non-zero even integer otherwise -it evaluates to $0$. Note that just because mp\_iseven may evaluate to $0$ does not mean the input is odd, it could also be zero. The three -trivial cases of inputs are handled on lines 24 through 30. After those lines the inputs are assumed to be non-zero. +it evaluates to $0$. Note that just because mp\_iseven may evaluate to $0$ does not mean the input is odd, it could also be zero. The three +trivial cases of inputs are handled on lines 23 through 29. After those lines the inputs are assumed to be non-zero. -Lines 32 and 37 make local copies $u$ and $v$ of the inputs $a$ and $b$ respectively. At this point the common factors of two -must be divided out of the two inputs. The block starting at line 44 removes common factors of two by first counting the number of trailing -zero bits in both. The local integer $k$ is used to keep track of how many factors of $2$ are pulled out of both values. It is assumed that -the number of factors will not exceed the maximum value of a C ``int'' data type\footnote{Strictly speaking no array in C may have more than -entries than are accessible by an ``int'' so this is not a limitation.}. +Lines 32 and 36 make local copies $u$ and $v$ of the inputs $a$ and $b$ respectively. At this point the common factors of two +must be divided out of the two inputs. The block starting at line 43 removes common factors of two by first counting the number of trailing +zero bits in both. The local integer $k$ is used to keep track of how many factors of $2$ are pulled out of both values. It is assumed that +the number of factors will not exceed the maximum value of a C ``int'' data type\footnote{Strictly speaking no array in C may have more than +entries than are accessible by an ``int'' so this is not a limitation.}. -At this point there are no more common factors of two in the two values. The divisions by a power of two on lines 62 and 68 remove +At this point there are no more common factors of two in the two values. The divisions by a power of two on lines 61 and 67 remove any independent factors of two such that both $u$ and $v$ are guaranteed to be an odd integer before hitting the main body of the algorithm. The while loop -on line 73 performs the reduction of the pair until $v$ is equal to zero. The unsigned comparison and subtraction algorithms are used in +on line 72 performs the reduction of the pair until $v$ is equal to zero. The unsigned comparison and subtraction algorithms are used in place of the full signed routines since both values are guaranteed to be positive and the result of the subtraction is guaranteed to be non-negative. \section{Least Common Multiple} @@ -6125,8 +9887,8 @@ least common multiple is normally denoted as $[ a, b ]$ and numerically equivale and $b = 2 \cdot 3 \cdot 3 \cdot 7 = 126$ the least common multiple is ${126 \over {(12, 126)}} = {126 \over 6} = 21$. The least common multiple arises often in coding theory as well as number theory. If two functions have periods of $a$ and $b$ respectively they will -collide, that is be in synchronous states, after only $[ a, b ]$ iterations. This is why, for example, random number generators based on -Linear Feedback Shift Registers (LFSR) tend to use registers with periods which are co-prime (\textit{e.g. the greatest common divisor is one.}). +collide, that is be in synchronous states, after only $[ a, b ]$ iterations. This is why, for example, random number generators based on +Linear Feedback Shift Registers (LFSR) tend to use registers with periods which are co-prime (\textit{e.g. the greatest common divisor is one.}). Similarly in number theory if a composite $n$ has two prime factors $p$ and $q$ then maximal order of any unit of $\Z/n\Z$ will be $[ p - 1, q - 1] $. \begin{figure}[!here] @@ -6155,11 +9917,52 @@ dividing the product of the two inputs by their greatest common divisor. \hspace{-5.1mm}{\bf File}: bn\_mp\_lcm.c \vspace{-3mm} \begin{alltt} +016 +017 /* computes least common multiple as |a*b|/(a, b) */ +018 int mp_lcm (mp_int * a, mp_int * b, mp_int * c) +019 \{ +020 int res; +021 mp_int t1, t2; +022 +023 +024 if ((res = mp_init_multi (&t1, &t2, NULL)) != MP_OKAY) \{ +025 return res; +026 \} +027 +028 /* t1 = get the GCD of the two inputs */ +029 if ((res = mp_gcd (a, b, &t1)) != MP_OKAY) \{ +030 goto LBL_T; +031 \} +032 +033 /* divide the smallest by the GCD */ +034 if (mp_cmp_mag(a, b) == MP_LT) \{ +035 /* store quotient in t2 such that t2 * b is the LCM */ +036 if ((res = mp_div(a, &t1, &t2, NULL)) != MP_OKAY) \{ +037 goto LBL_T; +038 \} +039 res = mp_mul(b, &t2, c); +040 \} else \{ +041 /* store quotient in t2 such that t2 * a is the LCM */ +042 if ((res = mp_div(b, &t1, &t2, NULL)) != MP_OKAY) \{ +043 goto LBL_T; +044 \} +045 res = mp_mul(a, &t2, c); +046 \} +047 +048 /* fix the sign to positive */ +049 c->sign = MP_ZPOS; +050 +051 LBL_T: +052 mp_clear_multi (&t1, &t2, NULL); +053 return res; +054 \} +055 #endif +056 \end{alltt} \end{small} \section{Jacobi Symbol Computation} -To explain the Jacobi Symbol we shall first discuss the Legendre function\footnote{Arrg. What is the name of this?} off which the Jacobi symbol is +To explain the Jacobi Symbol we shall first discuss the Legendre function\footnote{Arrg. What is the name of this?} off which the Jacobi symbol is defined. The Legendre function computes whether or not an integer $a$ is a quadratic residue modulo an odd prime $p$. Numerically it is equivalent to equation \ref{eqn:legendre}. @@ -6169,9 +9972,9 @@ equivalent to equation \ref{eqn:legendre}. a^{(p-1)/2} \equiv \begin{array}{rl} -1 & \mbox{if }a\mbox{ is a quadratic non-residue.} \\ 0 & \mbox{if }a\mbox{ divides }p\mbox{.} \\ - 1 & \mbox{if }a\mbox{ is a quadratic residue}. + 1 & \mbox{if }a\mbox{ is a quadratic residue}. \end{array} \mbox{ (mod }p\mbox{)} -\label{eqn:legendre} +\label{eqn:legendre} \end{equation} \textbf{Proof.} \textit{Equation \ref{eqn:legendre} correctly identifies the residue status of an integer $a$ modulo a prime $p$.} @@ -6195,7 +9998,7 @@ then the quantity in the braces must be zero. By reduction, \begin{eqnarray} \left (x^2 \right )^{(p-1)/2} - a^{(p-1)/2} \equiv 0 \nonumber \\ \left (x^2 \right )^{(p-1)/2} \equiv a^{(p-1)/2} \nonumber \\ -x^2 \equiv a \mbox{ (mod }p\mbox{)} +x^2 \equiv a \mbox{ (mod }p\mbox{)} \end{eqnarray} As a result there must be a solution to the quadratic equation and in turn $a$ must be a quadratic residue. If $a$ does not divide $p$ and $a$ @@ -6215,47 +10018,47 @@ the Jacobi symbol $\left ( { a \over p } \right )$ is equal to the following equ By inspection if $p$ is prime the Jacobi symbol is equivalent to the Legendre function. The following facts\footnote{See HAC \cite[pp. 72-74]{HAC} for further details.} will be used to derive an efficient Jacobi symbol algorithm. Where $p$ is an odd integer greater than two and $a, b \in \Z$ the -following are true. +following are true. \begin{enumerate} -\item $\left ( { a \over p} \right )$ equals $-1$, $0$ or $1$. +\item $\left ( { a \over p} \right )$ equals $-1$, $0$ or $1$. \item $\left ( { ab \over p} \right ) = \left ( { a \over p} \right )\left ( { b \over p} \right )$. \item If $a \equiv b$ then $\left ( { a \over p} \right ) = \left ( { b \over p} \right )$. \item $\left ( { 2 \over p} \right )$ equals $1$ if $p \equiv 1$ or $7 \mbox{ (mod }8\mbox{)}$. Otherwise, it equals $-1$. -\item $\left ( { a \over p} \right ) \equiv \left ( { p \over a} \right ) \cdot (-1)^{(p-1)(a-1)/4}$. More specifically -$\left ( { a \over p} \right ) = \left ( { p \over a} \right )$ if $p \equiv a \equiv 1 \mbox{ (mod }4\mbox{)}$. +\item $\left ( { a \over p} \right ) \equiv \left ( { p \over a} \right ) \cdot (-1)^{(p-1)(a-1)/4}$. More specifically +$\left ( { a \over p} \right ) = \left ( { p \over a} \right )$ if $p \equiv a \equiv 1 \mbox{ (mod }4\mbox{)}$. \end{enumerate} Using these facts if $a = 2^k \cdot a'$ then \begin{eqnarray} \left ( { a \over p } \right ) = \left ( {{2^k} \over p } \right ) \left ( {a' \over p} \right ) \nonumber \\ - = \left ( {2 \over p } \right )^k \left ( {a' \over p} \right ) + = \left ( {2 \over p } \right )^k \left ( {a' \over p} \right ) \label{eqn:jacobi} \end{eqnarray} -By fact five, +By fact five, \begin{equation} -\left ( { a \over p } \right ) = \left ( { p \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} +\left ( { a \over p } \right ) = \left ( { p \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} \end{equation} -Subsequently by fact three since $p \equiv (p \mbox{ mod }a) \mbox{ (mod }a\mbox{)}$ then +Subsequently by fact three since $p \equiv (p \mbox{ mod }a) \mbox{ (mod }a\mbox{)}$ then \begin{equation} -\left ( { a \over p } \right ) = \left ( { {p \mbox{ mod } a} \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} +\left ( { a \over p } \right ) = \left ( { {p \mbox{ mod } a} \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} \end{equation} By putting both observations into equation \ref{eqn:jacobi} the following simplified equation is formed. \begin{equation} -\left ( { a \over p } \right ) = \left ( {2 \over p } \right )^k \left ( {{p\mbox{ mod }a'} \over a'} \right ) \cdot (-1)^{(p-1)(a'-1)/4} +\left ( { a \over p } \right ) = \left ( {2 \over p } \right )^k \left ( {{p\mbox{ mod }a'} \over a'} \right ) \cdot (-1)^{(p-1)(a'-1)/4} \end{equation} -The value of $\left ( {{p \mbox{ mod }a'} \over a'} \right )$ can be found by using the same equation recursively. The value of -$\left ( {2 \over p } \right )^k$ equals $1$ if $k$ is even otherwise it equals $\left ( {2 \over p } \right )$. Using this approach the -factors of $p$ do not have to be known. Furthermore, if $(a, p) = 1$ then the algorithm will terminate when the recursion requests the -Jacobi symbol computation of $\left ( {1 \over a'} \right )$ which is simply $1$. +The value of $\left ( {{p \mbox{ mod }a'} \over a'} \right )$ can be found by using the same equation recursively. The value of +$\left ( {2 \over p } \right )^k$ equals $1$ if $k$ is even otherwise it equals $\left ( {2 \over p } \right )$. Using this approach the +factors of $p$ do not have to be known. Furthermore, if $(a, p) = 1$ then the algorithm will terminate when the recursion requests the +Jacobi symbol computation of $\left ( {1 \over a'} \right )$ which is simply $1$. \newpage\begin{figure}[!here] \begin{small} @@ -6299,12 +10102,12 @@ Jacobi symbol computation of $\left ( {1 \over a'} \right )$ which is simply $1$ \end{figure} \textbf{Algorithm mp\_jacobi.} This algorithm computes the Jacobi symbol for an arbitrary positive integer $a$ with respect to an odd integer $p$ greater than three. The algorithm -is based on algorithm 2.149 of HAC \cite[pp. 73]{HAC}. +is based on algorithm 2.149 of HAC \cite[pp. 73]{HAC}. Step numbers one and two handle the trivial cases of $a = 0$ and $a = 1$ respectively. Step five determines the number of two factors in the -input $a$. If $k$ is even than the term $\left ( { 2 \over p } \right )^k$ must always evaluate to one. If $k$ is odd than the term evaluates to one -if $p_0$ is congruent to one or seven modulo eight, otherwise it evaluates to $-1$. After the the $\left ( { 2 \over p } \right )^k$ term is handled -the $(-1)^{(p-1)(a'-1)/4}$ is computed and multiplied against the current product $s$. The latter term evaluates to one if both $p$ and $a'$ +input $a$. If $k$ is even than the term $\left ( { 2 \over p } \right )^k$ must always evaluate to one. If $k$ is odd than the term evaluates to one +if $p_0$ is congruent to one or seven modulo eight, otherwise it evaluates to $-1$. After the the $\left ( { 2 \over p } \right )^k$ term is handled +the $(-1)^{(p-1)(a'-1)/4}$ is computed and multiplied against the current product $s$. The latter term evaluates to one if both $p$ and $a'$ are congruent to one modulo four, otherwise it evaluates to negative one. By step nine if $a'$ does not equal one a recursion is required. Step 9.1 computes $p' \equiv p \mbox{ (mod }a'\mbox{)}$ and will recurse to compute @@ -6314,25 +10117,123 @@ $\left ( {p' \over a'} \right )$ which is multiplied against the current Jacobi \hspace{-5.1mm}{\bf File}: bn\_mp\_jacobi.c \vspace{-3mm} \begin{alltt} +016 +017 /* computes the jacobi c = (a | n) (or Legendre if n is prime) +018 * HAC pp. 73 Algorithm 2.149 +019 * HAC is wrong here, as the special case of (0 | 1) is not +020 * handled correctly. +021 */ +022 int mp_jacobi (mp_int * a, mp_int * n, int *c) +023 \{ +024 mp_int a1, p1; +025 int k, s, r, res; +026 mp_digit residue; +027 +028 /* if a < 0 return MP_VAL */ +029 if (mp_isneg(a) == MP_YES) \{ +030 return MP_VAL; +031 \} +032 +033 /* if n <= 0 return MP_VAL */ +034 if (mp_cmp_d(n, 0) != MP_GT) \{ +035 return MP_VAL; +036 \} +037 +038 /* step 1. handle case of a == 0 */ +039 if (mp_iszero (a) == MP_YES) \{ +040 /* special case of a == 0 and n == 1 */ +041 if (mp_cmp_d (n, 1) == MP_EQ) \{ +042 *c = 1; +043 \} else \{ +044 *c = 0; +045 \} +046 return MP_OKAY; +047 \} +048 +049 /* step 2. if a == 1, return 1 */ +050 if (mp_cmp_d (a, 1) == MP_EQ) \{ +051 *c = 1; +052 return MP_OKAY; +053 \} +054 +055 /* default */ +056 s = 0; +057 +058 /* step 3. write a = a1 * 2**k */ +059 if ((res = mp_init_copy (&a1, a)) != MP_OKAY) \{ +060 return res; +061 \} +062 +063 if ((res = mp_init (&p1)) != MP_OKAY) \{ +064 goto LBL_A1; +065 \} +066 +067 /* divide out larger power of two */ +068 k = mp_cnt_lsb(&a1); +069 if ((res = mp_div_2d(&a1, k, &a1, NULL)) != MP_OKAY) \{ +070 goto LBL_P1; +071 \} +072 +073 /* step 4. if e is even set s=1 */ +074 if ((k & 1) == 0) \{ +075 s = 1; +076 \} else \{ +077 /* else set s=1 if p = 1/7 (mod 8) or s=-1 if p = 3/5 (mod 8) */ +078 residue = n->dp[0] & 7; +079 +080 if ((residue == 1) || (residue == 7)) \{ +081 s = 1; +082 \} else if ((residue == 3) || (residue == 5)) \{ +083 s = -1; +084 \} +085 \} +086 +087 /* step 5. if p == 3 (mod 4) *and* a1 == 3 (mod 4) then s = -s */ +088 if ( ((n->dp[0] & 3) == 3) && ((a1.dp[0] & 3) == 3)) \{ +089 s = -s; +090 \} +091 +092 /* if a1 == 1 we're done */ +093 if (mp_cmp_d (&a1, 1) == MP_EQ) \{ +094 *c = s; +095 \} else \{ +096 /* n1 = n mod a1 */ +097 if ((res = mp_mod (n, &a1, &p1)) != MP_OKAY) \{ +098 goto LBL_P1; +099 \} +100 if ((res = mp_jacobi (&p1, &a1, &r)) != MP_OKAY) \{ +101 goto LBL_P1; +102 \} +103 *c = s * r; +104 \} +105 +106 /* done */ +107 res = MP_OKAY; +108 LBL_P1:mp_clear (&p1); +109 LBL_A1:mp_clear (&a1); +110 return res; +111 \} +112 #endif +113 \end{alltt} \end{small} -As a matter of practicality the variable $a'$ as per the pseudo-code is reprensented by the variable $a1$ since the $'$ symbol is not valid for a C -variable name character. +As a matter of practicality the variable $a'$ as per the pseudo-code is reprensented by the variable $a1$ since the $'$ symbol is not valid for a C +variable name character. The two simple cases of $a = 0$ and $a = 1$ are handled at the very beginning to simplify the algorithm. If the input is non-trivial the algorithm has to proceed compute the Jacobi. The variable $s$ is used to hold the current Jacobi product. Note that $s$ is merely a C ``int'' data type since -the values it may obtain are merely $-1$, $0$ and $1$. +the values it may obtain are merely $-1$, $0$ and $1$. After a local copy of $a$ is made all of the factors of two are divided out and the total stored in $k$. Technically only the least significant -bit of $k$ is required, however, it makes the algorithm simpler to follow to perform an addition. In practice an exclusive-or and addition have the same +bit of $k$ is required, however, it makes the algorithm simpler to follow to perform an addition. In practice an exclusive-or and addition have the same processor requirements and neither is faster than the other. -Line 58 through 71 determines the value of $\left ( { 2 \over p } \right )^k$. If the least significant bit of $k$ is zero than +Line 59 through 71 determines the value of $\left ( { 2 \over p } \right )^k$. If the least significant bit of $k$ is zero than $k$ is even and the value is one. Otherwise, the value of $s$ depends on which residue class $p$ belongs to modulo eight. The value of -$(-1)^{(p-1)(a'-1)/4}$ is compute and multiplied against $s$ on lines 71 through 74. +$(-1)^{(p-1)(a'-1)/4}$ is compute and multiplied against $s$ on lines 73 through 76. -Finally, if $a1$ does not equal one the algorithm must recurse and compute $\left ( {p' \over a'} \right )$. +Finally, if $a1$ does not equal one the algorithm must recurse and compute $\left ( {p' \over a'} \right )$. \textit{-- Comment about default $s$ and such...} @@ -6340,31 +10241,31 @@ Finally, if $a1$ does not equal one the algorithm must recurse and compute $\lef \label{sec:modinv} The modular inverse of a number actually refers to the modular multiplicative inverse. Essentially for any integer $a$ such that $(a, p) = 1$ there exist another integer $b$ such that $ab \equiv 1 \mbox{ (mod }p\mbox{)}$. The integer $b$ is called the multiplicative inverse of $a$ which is -denoted as $b = a^{-1}$. Technically speaking modular inversion is a well defined operation for any finite ring or field not just for rings and +denoted as $b = a^{-1}$. Technically speaking modular inversion is a well defined operation for any finite ring or field not just for rings and fields of integers. However, the former will be the matter of discussion. -The simplest approach is to compute the algebraic inverse of the input. That is to compute $b \equiv a^{\Phi(p) - 1}$. If $\Phi(p)$ is the +The simplest approach is to compute the algebraic inverse of the input. That is to compute $b \equiv a^{\Phi(p) - 1}$. If $\Phi(p)$ is the order of the multiplicative subgroup modulo $p$ then $b$ must be the multiplicative inverse of $a$. The proof of which is trivial. \begin{equation} ab \equiv a \left (a^{\Phi(p) - 1} \right ) \equiv a^{\Phi(p)} \equiv a^0 \equiv 1 \mbox{ (mod }p\mbox{)} \end{equation} -However, as simple as this approach may be it has two serious flaws. It requires that the value of $\Phi(p)$ be known which if $p$ is composite -requires all of the prime factors. This approach also is very slow as the size of $p$ grows. +However, as simple as this approach may be it has two serious flaws. It requires that the value of $\Phi(p)$ be known which if $p$ is composite +requires all of the prime factors. This approach also is very slow as the size of $p$ grows. -A simpler approach is based on the observation that solving for the multiplicative inverse is equivalent to solving the linear +A simpler approach is based on the observation that solving for the multiplicative inverse is equivalent to solving the linear Diophantine\footnote{See LeVeque \cite[pp. 40-43]{LeVeque} for more information.} equation. \begin{equation} ab + pq = 1 \end{equation} -Where $a$, $b$, $p$ and $q$ are all integers. If such a pair of integers $ \left < b, q \right >$ exist than $b$ is the multiplicative inverse of -$a$ modulo $p$. The extended Euclidean algorithm (Knuth \cite[pp. 342]{TAOCPV2}) can be used to solve such equations provided $(a, p) = 1$. +Where $a$, $b$, $p$ and $q$ are all integers. If such a pair of integers $ \left < b, q \right >$ exist than $b$ is the multiplicative inverse of +$a$ modulo $p$. The extended Euclidean algorithm (Knuth \cite[pp. 342]{TAOCPV2}) can be used to solve such equations provided $(a, p) = 1$. However, instead of using that algorithm directly a variant known as the binary Extended Euclidean algorithm will be used in its place. The -binary approach is very similar to the binary greatest common divisor algorithm except it will produce a full solution to the Diophantine -equation. +binary approach is very similar to the binary greatest common divisor algorithm except it will produce a full solution to the Diophantine +equation. \subsection{General Case} \newpage\begin{figure}[!here] @@ -6416,12 +10317,12 @@ equation. \end{small} \end{figure} \textbf{Algorithm mp\_invmod.} -This algorithm computes the modular multiplicative inverse of an integer $a$ modulo an integer $b$. This algorithm is a variation of the +This algorithm computes the modular multiplicative inverse of an integer $a$ modulo an integer $b$. This algorithm is a variation of the extended binary Euclidean algorithm from HAC \cite[pp. 608]{HAC}. It has been modified to only compute the modular inverse and not a complete -Diophantine solution. +Diophantine solution. If $b \le 0$ than the modulus is invalid and MP\_VAL is returned. Similarly if both $a$ and $b$ are even then there cannot be a multiplicative -inverse for $a$ and the error is reported. +inverse for $a$ and the error is reported. The astute reader will observe that steps seven through nine are very similar to the binary greatest common divisor algorithm mp\_gcd. In this case the other variables to the Diophantine equation are solved. The algorithm terminates when $u = 0$ in which case the solution is @@ -6431,36 +10332,60 @@ Ca + Db = v \end{equation} If $v$, the greatest common divisor of $a$ and $b$ is not equal to one then the algorithm will report an error as no inverse exists. Otherwise, $C$ -is the modular inverse of $a$. The actual value of $C$ is congruent to, but not necessarily equal to, the ideal modular inverse which should lie -within $1 \le a^{-1} < b$. Step numbers twelve and thirteen adjust the inverse until it is in range. If the original input $a$ is within $0 < a < p$ +is the modular inverse of $a$. The actual value of $C$ is congruent to, but not necessarily equal to, the ideal modular inverse which should lie +within $1 \le a^{-1} < b$. Step numbers twelve and thirteen adjust the inverse until it is in range. If the original input $a$ is within $0 < a < p$ then only a couple of additions or subtractions will be required to adjust the inverse. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_invmod.c \vspace{-3mm} \begin{alltt} +016 +017 /* hac 14.61, pp608 */ +018 int mp_invmod (mp_int * a, mp_int * b, mp_int * c) +019 \{ +020 /* b cannot be negative */ +021 if ((b->sign == MP_NEG) || (mp_iszero(b) == MP_YES)) \{ +022 return MP_VAL; +023 \} +024 +025 #ifdef BN_FAST_MP_INVMOD_C +026 /* if the modulus is odd we can use a faster routine instead */ +027 if (mp_isodd (b) == MP_YES) \{ +028 return fast_mp_invmod (a, b, c); +029 \} +030 #endif +031 +032 #ifdef BN_MP_INVMOD_SLOW_C +033 return mp_invmod_slow(a, b, c); +034 #else +035 return MP_VAL; +036 #endif +037 \} +038 #endif +039 \end{alltt} \end{small} \subsubsection{Odd Moduli} When the modulus $b$ is odd the variables $A$ and $C$ are fixed and are not required to compute the inverse. In particular by attempting to solve -the Diophantine $Cb + Da = 1$ only $B$ and $D$ are required to find the inverse of $a$. +the Diophantine $Cb + Da = 1$ only $B$ and $D$ are required to find the inverse of $a$. -The algorithm fast\_mp\_invmod is a direct adaptation of algorithm mp\_invmod with all all steps involving either $A$ or $C$ removed. This +The algorithm fast\_mp\_invmod is a direct adaptation of algorithm mp\_invmod with all all steps involving either $A$ or $C$ removed. This optimization will halve the time required to compute the modular inverse. \section{Primality Tests} -A non-zero integer $a$ is said to be prime if it is not divisible by any other integer excluding one and itself. For example, $a = 7$ is prime -since the integers $2 \ldots 6$ do not evenly divide $a$. By contrast, $a = 6$ is not prime since $a = 6 = 2 \cdot 3$. +A non-zero integer $a$ is said to be prime if it is not divisible by any other integer excluding one and itself. For example, $a = 7$ is prime +since the integers $2 \ldots 6$ do not evenly divide $a$. By contrast, $a = 6$ is not prime since $a = 6 = 2 \cdot 3$. Prime numbers arise in cryptography considerably as they allow finite fields to be formed. The ability to determine whether an integer is prime or not quickly has been a viable subject in cryptography and number theory for considerable time. The algorithms that will be presented are all probablistic algorithms in that when they report an integer is composite it must be composite. However, when the algorithms report an integer is -prime the algorithm may be incorrect. +prime the algorithm may be incorrect. -As will be discussed it is possible to limit the probability of error so well that for practical purposes the probablity of error might as +As will be discussed it is possible to limit the probability of error so well that for practical purposes the probablity of error might as well be zero. For the purposes of these discussions let $n$ represent the candidate integer of which the primality is in question. \subsection{Trial Division} @@ -6474,13 +10399,13 @@ of the primes less than $\sqrt{n} + 1$ the algorithm cannot prove if a candidate The benefit of this test is that trial division by small values is fairly efficient. Specially compared to the other algorithms that will be discussed shortly. The probability that this approach correctly identifies a composite candidate when tested with all primes upto $q$ is given by -$1 - {1.12 \over ln(q)}$. The graph (\ref{pic:primality}, will be added later) demonstrates the probability of success for the range -$3 \le q \le 100$. +$1 - {1.12 \over ln(q)}$. The graph (\ref{pic:primality}, will be added later) demonstrates the probability of success for the range +$3 \le q \le 100$. -At approximately $q = 30$ the gain of performing further tests diminishes fairly quickly. At $q = 90$ further testing is generally not going to -be of any practical use. In the case of LibTomMath the default limit $q = 256$ was chosen since it is not too high and will eliminate -approximately $80\%$ of all candidate integers. The constant \textbf{PRIME\_SIZE} is equal to the number of primes in the test base. The -array \_\_prime\_tab is an array of the first \textbf{PRIME\_SIZE} prime numbers. +At approximately $q = 30$ the gain of performing further tests diminishes fairly quickly. At $q = 90$ further testing is generally not going to +be of any practical use. In the case of LibTomMath the default limit $q = 256$ was chosen since it is not too high and will eliminate +approximately $80\%$ of all candidate integers. The constant \textbf{PRIME\_SIZE} is equal to the number of primes in the test base. The +array \_\_prime\_tab is an array of the first \textbf{PRIME\_SIZE} prime numbers. \begin{figure}[!here] \begin{small} @@ -6504,37 +10429,110 @@ array \_\_prime\_tab is an array of the first \textbf{PRIME\_SIZE} prime numbers \caption{Algorithm mp\_prime\_is\_divisible} \end{figure} \textbf{Algorithm mp\_prime\_is\_divisible.} -This algorithm attempts to determine if a candidate integer $n$ is composite by performing trial divisions. +This algorithm attempts to determine if a candidate integer $n$ is composite by performing trial divisions. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_prime\_is\_divisible.c \vspace{-3mm} \begin{alltt} +016 +017 /* determines if an integers is divisible by one +018 * of the first PRIME_SIZE primes or not +019 * +020 * sets result to 0 if not, 1 if yes +021 */ +022 int mp_prime_is_divisible (mp_int * a, int *result) +023 \{ +024 int err, ix; +025 mp_digit res; +026 +027 /* default to not */ +028 *result = MP_NO; +029 +030 for (ix = 0; ix < PRIME_SIZE; ix++) \{ +031 /* what is a mod LBL_prime_tab[ix] */ +032 if ((err = mp_mod_d (a, ltm_prime_tab[ix], &res)) != MP_OKAY) \{ +033 return err; +034 \} +035 +036 /* is the residue zero? */ +037 if (res == 0) \{ +038 *result = MP_YES; +039 return MP_OKAY; +040 \} +041 \} +042 +043 return MP_OKAY; +044 \} +045 #endif +046 \end{alltt} \end{small} -The algorithm defaults to a return of $0$ in case an error occurs. The values in the prime table are all specified to be in the range of a +The algorithm defaults to a return of $0$ in case an error occurs. The values in the prime table are all specified to be in the range of a mp\_digit. The table \_\_prime\_tab is defined in the following file. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_prime\_tab.c \vspace{-3mm} \begin{alltt} +016 const mp_digit ltm_prime_tab[] = \{ +017 0x0002, 0x0003, 0x0005, 0x0007, 0x000B, 0x000D, 0x0011, 0x0013, +018 0x0017, 0x001D, 0x001F, 0x0025, 0x0029, 0x002B, 0x002F, 0x0035, +019 0x003B, 0x003D, 0x0043, 0x0047, 0x0049, 0x004F, 0x0053, 0x0059, +020 0x0061, 0x0065, 0x0067, 0x006B, 0x006D, 0x0071, 0x007F, +021 #ifndef MP_8BIT +022 0x0083, +023 0x0089, 0x008B, 0x0095, 0x0097, 0x009D, 0x00A3, 0x00A7, 0x00AD, +024 0x00B3, 0x00B5, 0x00BF, 0x00C1, 0x00C5, 0x00C7, 0x00D3, 0x00DF, +025 0x00E3, 0x00E5, 0x00E9, 0x00EF, 0x00F1, 0x00FB, 0x0101, 0x0107, +026 0x010D, 0x010F, 0x0115, 0x0119, 0x011B, 0x0125, 0x0133, 0x0137, +027 +028 0x0139, 0x013D, 0x014B, 0x0151, 0x015B, 0x015D, 0x0161, 0x0167, +029 0x016F, 0x0175, 0x017B, 0x017F, 0x0185, 0x018D, 0x0191, 0x0199, +030 0x01A3, 0x01A5, 0x01AF, 0x01B1, 0x01B7, 0x01BB, 0x01C1, 0x01C9, +031 0x01CD, 0x01CF, 0x01D3, 0x01DF, 0x01E7, 0x01EB, 0x01F3, 0x01F7, +032 0x01FD, 0x0209, 0x020B, 0x021D, 0x0223, 0x022D, 0x0233, 0x0239, +033 0x023B, 0x0241, 0x024B, 0x0251, 0x0257, 0x0259, 0x025F, 0x0265, +034 0x0269, 0x026B, 0x0277, 0x0281, 0x0283, 0x0287, 0x028D, 0x0293, +035 0x0295, 0x02A1, 0x02A5, 0x02AB, 0x02B3, 0x02BD, 0x02C5, 0x02CF, +036 +037 0x02D7, 0x02DD, 0x02E3, 0x02E7, 0x02EF, 0x02F5, 0x02F9, 0x0301, +038 0x0305, 0x0313, 0x031D, 0x0329, 0x032B, 0x0335, 0x0337, 0x033B, +039 0x033D, 0x0347, 0x0355, 0x0359, 0x035B, 0x035F, 0x036D, 0x0371, +040 0x0373, 0x0377, 0x038B, 0x038F, 0x0397, 0x03A1, 0x03A9, 0x03AD, +041 0x03B3, 0x03B9, 0x03C7, 0x03CB, 0x03D1, 0x03D7, 0x03DF, 0x03E5, +042 0x03F1, 0x03F5, 0x03FB, 0x03FD, 0x0407, 0x0409, 0x040F, 0x0419, +043 0x041B, 0x0425, 0x0427, 0x042D, 0x043F, 0x0443, 0x0445, 0x0449, +044 0x044F, 0x0455, 0x045D, 0x0463, 0x0469, 0x047F, 0x0481, 0x048B, +045 +046 0x0493, 0x049D, 0x04A3, 0x04A9, 0x04B1, 0x04BD, 0x04C1, 0x04C7, +047 0x04CD, 0x04CF, 0x04D5, 0x04E1, 0x04EB, 0x04FD, 0x04FF, 0x0503, +048 0x0509, 0x050B, 0x0511, 0x0515, 0x0517, 0x051B, 0x0527, 0x0529, +049 0x052F, 0x0551, 0x0557, 0x055D, 0x0565, 0x0577, 0x0581, 0x058F, +050 0x0593, 0x0595, 0x0599, 0x059F, 0x05A7, 0x05AB, 0x05AD, 0x05B3, +051 0x05BF, 0x05C9, 0x05CB, 0x05CF, 0x05D1, 0x05D5, 0x05DB, 0x05E7, +052 0x05F3, 0x05FB, 0x0607, 0x060D, 0x0611, 0x0617, 0x061F, 0x0623, +053 0x062B, 0x062F, 0x063D, 0x0641, 0x0647, 0x0649, 0x064D, 0x0653 +054 #endif +055 \}; +056 #endif +057 \end{alltt} \end{small} Note that there are two possible tables. When an mp\_digit is 7-bits long only the primes upto $127$ may be included, otherwise the primes -upto $1619$ are used. Note that the value of \textbf{PRIME\_SIZE} is a constant dependent on the size of a mp\_digit. +upto $1619$ are used. Note that the value of \textbf{PRIME\_SIZE} is a constant dependent on the size of a mp\_digit. \subsection{The Fermat Test} -The Fermat test is probably one the oldest tests to have a non-trivial probability of success. It is based on the fact that if $n$ is in +The Fermat test is probably one the oldest tests to have a non-trivial probability of success. It is based on the fact that if $n$ is in fact prime then $a^{n} \equiv a \mbox{ (mod }n\mbox{)}$ for all $0 < a < n$. The reason being that if $n$ is prime than the order of -the multiplicative sub group is $n - 1$. Any base $a$ must have an order which divides $n - 1$ and as such $a^n$ is equivalent to -$a^1 = a$. +the multiplicative sub group is $n - 1$. Any base $a$ must have an order which divides $n - 1$ and as such $a^n$ is equivalent to +$a^1 = a$. -If $n$ is composite then any given base $a$ does not have to have a period which divides $n - 1$. In which case +If $n$ is composite then any given base $a$ does not have to have a period which divides $n - 1$. In which case it is possible that $a^n \nequiv a \mbox{ (mod }n\mbox{)}$. However, this test is not absolute as it is possible that the order -of a base will divide $n - 1$ which would then be reported as prime. Such a base yields what is known as a Fermat pseudo-prime. Several +of a base will divide $n - 1$ which would then be reported as prime. Such a base yields what is known as a Fermat pseudo-prime. Several integers known as Carmichael numbers will be a pseudo-prime to all valid bases. Fortunately such numbers are extremely rare as $n$ grows in size. @@ -6560,18 +10558,61 @@ in size. \end{figure} \textbf{Algorithm mp\_prime\_fermat.} This algorithm determines whether an mp\_int $a$ is a Fermat prime to the base $b$ or not. It uses a single modular exponentiation to -determine the result. +determine the result. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_prime\_fermat.c \vspace{-3mm} \begin{alltt} +016 +017 /* performs one Fermat test. +018 * +019 * If "a" were prime then b**a == b (mod a) since the order of +020 * the multiplicative sub-group would be phi(a) = a-1. That means +021 * it would be the same as b**(a mod (a-1)) == b**1 == b (mod a). +022 * +023 * Sets result to 1 if the congruence holds, or zero otherwise. +024 */ +025 int mp_prime_fermat (mp_int * a, mp_int * b, int *result) +026 \{ +027 mp_int t; +028 int err; +029 +030 /* default to composite */ +031 *result = MP_NO; +032 +033 /* ensure b > 1 */ +034 if (mp_cmp_d(b, 1) != MP_GT) \{ +035 return MP_VAL; +036 \} +037 +038 /* init t */ +039 if ((err = mp_init (&t)) != MP_OKAY) \{ +040 return err; +041 \} +042 +043 /* compute t = b**a mod a */ +044 if ((err = mp_exptmod (b, a, a, &t)) != MP_OKAY) \{ +045 goto LBL_T; +046 \} +047 +048 /* is it equal to b? */ +049 if (mp_cmp (&t, b) == MP_EQ) \{ +050 *result = MP_YES; +051 \} +052 +053 err = MP_OKAY; +054 LBL_T:mp_clear (&t); +055 return err; +056 \} +057 #endif +058 \end{alltt} \end{small} \subsection{The Miller-Rabin Test} -The Miller-Rabin (citation) test is another primality test which has tighter error bounds than the Fermat test specifically with sequentially chosen -candidate integers. The algorithm is based on the observation that if $n - 1 = 2^kr$ and if $b^r \nequiv \pm 1$ then after upto $k - 1$ squarings the +The Miller-Rabin (citation) test is another primality test which has tighter error bounds than the Fermat test specifically with sequentially chosen +candidate integers. The algorithm is based on the observation that if $n - 1 = 2^kr$ and if $b^r \nequiv \pm 1$ then after upto $k - 1$ squarings the value must be equal to $-1$. The squarings are stopped as soon as $-1$ is observed. If the value of $1$ is observed first it means that some value not congruent to $\pm 1$ when squared equals one which cannot occur if $n$ is prime. @@ -6607,17 +10648,101 @@ some value not congruent to $\pm 1$ when squared equals one which cannot occur i \end{figure} \textbf{Algorithm mp\_prime\_miller\_rabin.} This algorithm performs one trial round of the Miller-Rabin algorithm to the base $b$. It will set $c = 1$ if the algorithm cannot determine -if $b$ is composite or $c = 0$ if $b$ is provably composite. The values of $s$ and $r$ are computed such that $a' = a - 1 = 2^sr$. +if $b$ is composite or $c = 0$ if $b$ is provably composite. The values of $s$ and $r$ are computed such that $a' = a - 1 = 2^sr$. If the value $y \equiv b^r$ is congruent to $\pm 1$ then the algorithm cannot prove if $a$ is composite or not. Otherwise, the algorithm will square $y$ upto $s - 1$ times stopping only when $y \equiv -1$. If $y^2 \equiv 1$ and $y \nequiv \pm 1$ then the algorithm can report that $a$ -is provably composite. If the algorithm performs $s - 1$ squarings and $y \nequiv -1$ then $a$ is provably composite. If $a$ is not provably +is provably composite. If the algorithm performs $s - 1$ squarings and $y \nequiv -1$ then $a$ is provably composite. If $a$ is not provably composite then it is \textit{probably} prime. \vspace{+3mm}\begin{small} \hspace{-5.1mm}{\bf File}: bn\_mp\_prime\_miller\_rabin.c \vspace{-3mm} \begin{alltt} +016 +017 /* Miller-Rabin test of "a" to the base of "b" as described in +018 * HAC pp. 139 Algorithm 4.24 +019 * +020 * Sets result to 0 if definitely composite or 1 if probably prime. +021 * Randomly the chance of error is no more than 1/4 and often +022 * very much lower. +023 */ +024 int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result) +025 \{ +026 mp_int n1, y, r; +027 int s, j, err; +028 +029 /* default */ +030 *result = MP_NO; +031 +032 /* ensure b > 1 */ +033 if (mp_cmp_d(b, 1) != MP_GT) \{ +034 return MP_VAL; +035 \} +036 +037 /* get n1 = a - 1 */ +038 if ((err = mp_init_copy (&n1, a)) != MP_OKAY) \{ +039 return err; +040 \} +041 if ((err = mp_sub_d (&n1, 1, &n1)) != MP_OKAY) \{ +042 goto LBL_N1; +043 \} +044 +045 /* set 2**s * r = n1 */ +046 if ((err = mp_init_copy (&r, &n1)) != MP_OKAY) \{ +047 goto LBL_N1; +048 \} +049 +050 /* count the number of least significant bits +051 * which are zero +052 */ +053 s = mp_cnt_lsb(&r); +054 +055 /* now divide n - 1 by 2**s */ +056 if ((err = mp_div_2d (&r, s, &r, NULL)) != MP_OKAY) \{ +057 goto LBL_R; +058 \} +059 +060 /* compute y = b**r mod a */ +061 if ((err = mp_init (&y)) != MP_OKAY) \{ +062 goto LBL_R; +063 \} +064 if ((err = mp_exptmod (b, &r, a, &y)) != MP_OKAY) \{ +065 goto LBL_Y; +066 \} +067 +068 /* if y != 1 and y != n1 do */ +069 if ((mp_cmp_d (&y, 1) != MP_EQ) && (mp_cmp (&y, &n1) != MP_EQ)) \{ +070 j = 1; +071 /* while j <= s-1 and y != n1 */ +072 while ((j <= (s - 1)) && (mp_cmp (&y, &n1) != MP_EQ)) \{ +073 if ((err = mp_sqrmod (&y, a, &y)) != MP_OKAY) \{ +074 goto LBL_Y; +075 \} +076 +077 /* if y == 1 then composite */ +078 if (mp_cmp_d (&y, 1) == MP_EQ) \{ +079 goto LBL_Y; +080 \} +081 +082 ++j; +083 \} +084 +085 /* if y != n1 then composite */ +086 if (mp_cmp (&y, &n1) != MP_EQ) \{ +087 goto LBL_Y; +088 \} +089 \} +090 +091 /* probably prime now */ +092 *result = MP_YES; +093 LBL_Y:mp_clear (&y); +094 LBL_R:mp_clear (&r); +095 LBL_N1:mp_clear (&n1); +096 return err; +097 \} +098 #endif +099 \end{alltt} \end{small} diff --git a/libtommath/tommath_class.h b/libtommath/tommath_class.h index 1e29c8f..2085521 100644 --- a/libtommath/tommath_class.h +++ b/libtommath/tommath_class.h @@ -38,7 +38,9 @@ #define BN_MP_DR_REDUCE_C #define BN_MP_DR_SETUP_C #define BN_MP_EXCH_C +#define BN_MP_EXPORT_C #define BN_MP_EXPT_D_C +#define BN_MP_EXPT_D_EX_C #define BN_MP_EXPTMOD_C #define BN_MP_EXPTMOD_FAST_C #define BN_MP_EXTEUCLID_C @@ -46,7 +48,10 @@ #define BN_MP_FWRITE_C #define BN_MP_GCD_C #define BN_MP_GET_INT_C +#define BN_MP_GET_LONG_C +#define BN_MP_GET_LONG_LONG_C #define BN_MP_GROW_C +#define BN_MP_IMPORT_C #define BN_MP_INIT_C #define BN_MP_INIT_COPY_C #define BN_MP_INIT_MULTI_C @@ -73,6 +78,7 @@ #define BN_MP_MUL_D_C #define BN_MP_MULMOD_C #define BN_MP_N_ROOT_C +#define BN_MP_N_ROOT_EX_C #define BN_MP_NEG_C #define BN_MP_OR_C #define BN_MP_PRIME_FERMAT_C @@ -99,11 +105,14 @@ #define BN_MP_RSHD_C #define BN_MP_SET_C #define BN_MP_SET_INT_C +#define BN_MP_SET_LONG_C +#define BN_MP_SET_LONG_LONG_C #define BN_MP_SHRINK_C #define BN_MP_SIGNED_BIN_SIZE_C #define BN_MP_SQR_C #define BN_MP_SQRMOD_C #define BN_MP_SQRT_C +#define BN_MP_SQRTMOD_PRIME_C #define BN_MP_SUB_C #define BN_MP_SUB_D_C #define BN_MP_SUBMOD_C @@ -315,12 +324,23 @@ #if defined(BN_MP_EXCH_C) #endif +#if defined(BN_MP_EXPORT_C) + #define BN_MP_INIT_COPY_C + #define BN_MP_COUNT_BITS_C + #define BN_MP_DIV_2D_C + #define BN_MP_CLEAR_C +#endif + #if defined(BN_MP_EXPT_D_C) + #define BN_MP_EXPT_D_EX_C +#endif + +#if defined(BN_MP_EXPT_D_EX_C) #define BN_MP_INIT_COPY_C #define BN_MP_SET_C - #define BN_MP_SQR_C - #define BN_MP_CLEAR_C #define BN_MP_MUL_C + #define BN_MP_CLEAR_C + #define BN_MP_SQR_C #endif #if defined(BN_MP_EXPTMOD_C) @@ -387,7 +407,6 @@ #if defined(BN_MP_GCD_C) #define BN_MP_ISZERO_C #define BN_MP_ABS_C - #define BN_MP_ZERO_C #define BN_MP_INIT_COPY_C #define BN_MP_CNT_LSB_C #define BN_MP_DIV_2D_C @@ -401,13 +420,26 @@ #if defined(BN_MP_GET_INT_C) #endif +#if defined(BN_MP_GET_LONG_C) +#endif + +#if defined(BN_MP_GET_LONG_LONG_C) +#endif + #if defined(BN_MP_GROW_C) #endif +#if defined(BN_MP_IMPORT_C) + #define BN_MP_ZERO_C + #define BN_MP_MUL_2D_C + #define BN_MP_CLAMP_C +#endif + #if defined(BN_MP_INIT_C) #endif #if defined(BN_MP_INIT_COPY_C) + #define BN_MP_INIT_SIZE_C #define BN_MP_COPY_C #endif @@ -481,8 +513,9 @@ #define BN_MP_MUL_C #define BN_MP_INIT_SIZE_C #define BN_MP_CLAMP_C - #define BN_MP_SUB_C + #define BN_S_MP_ADD_C #define BN_MP_ADD_C + #define BN_S_MP_SUB_C #define BN_MP_LSHD_C #define BN_MP_CLEAR_C #endif @@ -491,8 +524,8 @@ #define BN_MP_INIT_SIZE_C #define BN_MP_CLAMP_C #define BN_MP_SQR_C - #define BN_MP_SUB_C #define BN_S_MP_ADD_C + #define BN_S_MP_SUB_C #define BN_MP_LSHD_C #define BN_MP_ADD_C #define BN_MP_CLEAR_C @@ -516,8 +549,9 @@ #define BN_MP_INIT_C #define BN_MP_DIV_C #define BN_MP_CLEAR_C - #define BN_MP_ADD_C + #define BN_MP_ISZERO_C #define BN_MP_EXCH_C + #define BN_MP_ADD_C #endif #if defined(BN_MP_MOD_2D_C) @@ -583,10 +617,14 @@ #endif #if defined(BN_MP_N_ROOT_C) + #define BN_MP_N_ROOT_EX_C +#endif + +#if defined(BN_MP_N_ROOT_EX_C) #define BN_MP_INIT_C #define BN_MP_SET_C #define BN_MP_COPY_C - #define BN_MP_EXPT_D_C + #define BN_MP_EXPT_D_EX_C #define BN_MP_MUL_C #define BN_MP_SUB_C #define BN_MP_MUL_D_C @@ -667,9 +705,9 @@ #endif #if defined(BN_MP_RADIX_SIZE_C) + #define BN_MP_ISZERO_C #define BN_MP_COUNT_BITS_C #define BN_MP_INIT_COPY_C - #define BN_MP_ISZERO_C #define BN_MP_DIV_D_C #define BN_MP_CLEAR_C #endif @@ -687,7 +725,6 @@ #if defined(BN_MP_READ_RADIX_C) #define BN_MP_ZERO_C #define BN_MP_S_RMAP_C - #define BN_MP_RADIX_SMAP_C #define BN_MP_MUL_D_C #define BN_MP_ADD_D_C #define BN_MP_ISZERO_C @@ -788,6 +825,12 @@ #define BN_MP_CLAMP_C #endif +#if defined(BN_MP_SET_LONG_C) +#endif + +#if defined(BN_MP_SET_LONG_LONG_C) +#endif + #if defined(BN_MP_SHRINK_C) #endif @@ -823,6 +866,25 @@ #define BN_MP_CLEAR_C #endif +#if defined(BN_MP_SQRTMOD_PRIME_C) + #define BN_MP_CMP_D_C + #define BN_MP_ZERO_C + #define BN_MP_JACOBI_C + #define BN_MP_INIT_MULTI_C + #define BN_MP_MOD_D_C + #define BN_MP_ADD_D_C + #define BN_MP_DIV_2_C + #define BN_MP_EXPTMOD_C + #define BN_MP_COPY_C + #define BN_MP_SUB_D_C + #define BN_MP_ISEVEN_C + #define BN_MP_SET_INT_C + #define BN_MP_SQRMOD_C + #define BN_MP_MULMOD_C + #define BN_MP_SET_C + #define BN_MP_CLEAR_MULTI_C +#endif + #if defined(BN_MP_SUB_C) #define BN_S_MP_ADD_C #define BN_MP_CMP_MAG_C @@ -993,7 +1055,3 @@ #else #define LTM_LAST #endif - -/* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ diff --git a/libtommath/tommath_private.h b/libtommath/tommath_private.h new file mode 100644 index 0000000..bc7cd35 --- /dev/null +++ b/libtommath/tommath_private.h @@ -0,0 +1,119 @@ +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tstdenis82@gmail.com, http://math.libtomcrypt.com + */ +#ifndef TOMMATH_PRIV_H_ +#define TOMMATH_PRIV_H_ + +#include +#include + +#define MIN(x,y) (((x) < (y)) ? (x) : (y)) + +#define MAX(x,y) (((x) > (y)) ? (x) : (y)) + +#ifdef __cplusplus +extern "C" { + +/* C++ compilers don't like assigning void * to mp_digit * */ +#define OPT_CAST(x) (x *) + +#else + +/* C on the other hand doesn't care */ +#define OPT_CAST(x) + +#endif + +/* define heap macros */ +#ifndef XMALLOC + /* default to libc stuff */ + #define XMALLOC malloc + #define XFREE free + #define XREALLOC realloc + #define XCALLOC calloc +#else + /* prototypes for our heap functions */ + extern void *XMALLOC(size_t n); + extern void *XREALLOC(void *p, size_t n); + extern void *XCALLOC(size_t n, size_t s); + extern void XFREE(void *p); +#endif + +/* lowlevel functions, do not call! */ +int s_mp_add(mp_int *a, mp_int *b, mp_int *c); +int s_mp_sub(mp_int *a, mp_int *b, mp_int *c); +#define s_mp_mul(a, b, c) s_mp_mul_digs(a, b, c, (a)->used + (b)->used + 1) +int fast_s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); +int s_mp_mul_digs(mp_int *a, mp_int *b, mp_int *c, int digs); +int fast_s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); +int s_mp_mul_high_digs(mp_int *a, mp_int *b, mp_int *c, int digs); +int fast_s_mp_sqr(mp_int *a, mp_int *b); +int s_mp_sqr(mp_int *a, mp_int *b); +int mp_karatsuba_mul(mp_int *a, mp_int *b, mp_int *c); +int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c); +int mp_karatsuba_sqr(mp_int *a, mp_int *b); +int mp_toom_sqr(mp_int *a, mp_int *b); +int fast_mp_invmod(mp_int *a, mp_int *b, mp_int *c); +int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c); +int fast_mp_montgomery_reduce(mp_int *x, mp_int *n, mp_digit rho); +int mp_exptmod_fast(mp_int *G, mp_int *X, mp_int *P, mp_int *Y, int redmode); +int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode); +void bn_reverse(unsigned char *s, int len); + +extern const char *mp_s_rmap; + +/* Fancy macro to set an MPI from another type. + * There are several things assumed: + * x is the counter and unsigned + * a is the pointer to the MPI + * b is the original value that should be set in the MPI. + */ +#define MP_SET_XLONG(func_name, type) \ +int func_name (mp_int * a, type b) \ +{ \ + unsigned int x; \ + int res; \ + \ + mp_zero (a); \ + \ + /* set four bits at a time */ \ + for (x = 0; x < (sizeof(type) * 2u); x++) { \ + /* shift the number up four bits */ \ + if ((res = mp_mul_2d (a, 4, a)) != MP_OKAY) { \ + return res; \ + } \ + \ + /* OR in the top four bits of the source */ \ + a->dp[0] |= (b >> ((sizeof(type) * 8u) - 4u)) & 15u; \ + \ + /* shift the source up to the next four bits */ \ + b <<= 4; \ + \ + /* ensure that digits are not clamped off */ \ + a->used += 1; \ + } \ + mp_clamp (a); \ + return MP_OKAY; \ +} + +#ifdef __cplusplus + } +#endif + +#endif + + +/* $Source$ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/tommath_superclass.h b/libtommath/tommath_superclass.h index 89d5516..1b26841 100644 --- a/libtommath/tommath_superclass.h +++ b/libtommath/tommath_superclass.h @@ -72,5 +72,5 @@ #endif /* $Source$ */ -/* $Revision: 0.36 $ */ -/* $Date: 2005-08-01 16:37:28 +0000 $ */ +/* $Revision$ */ +/* $Date$ */ diff --git a/libtommath/updatemakes.sh b/libtommath/updatemakes.sh new file mode 100755 index 0000000..54c3b84 --- /dev/null +++ b/libtommath/updatemakes.sh @@ -0,0 +1,33 @@ +#!/bin/bash + +bash genlist.sh > tmplist + +perl filter.pl makefile tmplist +sed -e 's/ *$//' < tmp.delme > makefile +rm -f tmp.delme + +perl filter.pl makefile.icc tmplist +sed -e 's/ *$//' < tmp.delme > makefile.icc +rm -f tmp.delme + +perl filter.pl makefile.shared tmplist +sed -e 's/ *$//' < tmp.delme > makefile.shared +rm -f tmp.delme + +perl filter.pl makefile.cygwin_dll tmplist +sed -e 's/ *$//' < tmp.delme > makefile.cygwin_dll +rm -f tmp.delme + +perl filter.pl makefile.bcc tmplist +sed -e 's/\.o /.obj /g' -e 's/ *$//' < tmp.delme > makefile.bcc +rm -f tmp.delme + +perl filter.pl makefile.msvc tmplist +sed -e 's/\.o /.obj /g' -e 's/ *$//' < tmp.delme > makefile.msvc +rm -f tmp.delme + +rm -f tmplist + +# $Source$ +# $Revision$ +# $Date$ -- cgit v0.12 From 0be726feecac0c0515760b48dd64f435024dd908 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 17 Nov 2016 09:24:05 +0000 Subject: Remove subdirectories of "libtommath", and various individual related files, not taking any part in the Tcl build. Makes the Tcl distribution smaller without sacrificing anything. --- .fossil-settings/ignore-glob | 12 + libtommath/bn.ilg | 6 - libtommath/bn.ind | 82 - libtommath/bn.pdf | Bin 340921 -> 0 bytes libtommath/demo/demo.c | 736 --- libtommath/demo/timing.c | 315 -- libtommath/etc/2kprime.1 | 2 - libtommath/etc/2kprime.c | 75 - libtommath/etc/drprime.c | 59 - libtommath/etc/drprimes.28 | 25 - libtommath/etc/drprimes.txt | 9 - libtommath/etc/makefile | 50 - libtommath/etc/makefile.icc | 67 - libtommath/etc/makefile.msvc | 23 - libtommath/etc/mersenne.c | 140 - libtommath/etc/mont.c | 41 - libtommath/etc/pprime.c | 396 -- libtommath/etc/prime.1024 | 414 -- libtommath/etc/prime.512 | 205 - libtommath/etc/timer.asm | 37 - libtommath/etc/tune.c | 138 - libtommath/logs/README | 13 - libtommath/logs/add.log | 16 - libtommath/logs/addsub.png | Bin 6253 -> 0 bytes libtommath/logs/expt.log | 7 - libtommath/logs/expt.png | Bin 6604 -> 0 bytes libtommath/logs/expt_2k.log | 5 - libtommath/logs/expt_2kl.log | 4 - libtommath/logs/expt_dr.log | 7 - libtommath/logs/graphs.dem | 17 - libtommath/logs/index.html | 24 - libtommath/logs/invmod.log | 0 libtommath/logs/invmod.png | Bin 4917 -> 0 bytes libtommath/logs/mult.log | 84 - libtommath/logs/mult.png | Bin 6769 -> 0 bytes libtommath/logs/mult_kara.log | 84 - libtommath/logs/sqr.log | 84 - libtommath/logs/sqr_kara.log | 84 - libtommath/logs/sub.log | 16 - libtommath/mtest/logtab.h | 19 - libtommath/mtest/mpi-config.h | 85 - libtommath/mtest/mpi-types.h | 15 - libtommath/mtest/mpi.c | 3979 ---------------- libtommath/mtest/mpi.h | 225 - libtommath/mtest/mtest.c | 304 -- libtommath/pics/design_process.sxd | Bin 6950 -> 0 bytes libtommath/pics/design_process.tif | Bin 79042 -> 0 bytes libtommath/pics/expt_state.sxd | Bin 6869 -> 0 bytes libtommath/pics/expt_state.tif | Bin 87540 -> 0 bytes libtommath/pics/makefile | 35 - libtommath/pics/primality.tif | Bin 85512 -> 0 bytes libtommath/pics/radix.sxd | Bin 6181 -> 0 bytes libtommath/pics/sliding_window.sxd | Bin 6787 -> 0 bytes libtommath/pics/sliding_window.tif | Bin 53880 -> 0 bytes libtommath/poster.out | 0 libtommath/poster.pdf | Bin 37822 -> 0 bytes libtommath/pre_gen/mpi.c | 9048 ------------------------------------ libtommath/tombc/grammar.txt | 35 - libtommath/tommath.out | 139 - libtommath/tommath.pdf | Bin 1194158 -> 0 bytes libtommath/tommath.tex | 6691 -------------------------- 61 files changed, 12 insertions(+), 23840 deletions(-) delete mode 100644 libtommath/bn.ilg delete mode 100644 libtommath/bn.ind delete mode 100644 libtommath/bn.pdf delete mode 100644 libtommath/demo/demo.c delete mode 100644 libtommath/demo/timing.c delete mode 100644 libtommath/etc/2kprime.1 delete mode 100644 libtommath/etc/2kprime.c delete mode 100644 libtommath/etc/drprime.c delete mode 100644 libtommath/etc/drprimes.28 delete mode 100644 libtommath/etc/drprimes.txt delete mode 100644 libtommath/etc/makefile delete mode 100644 libtommath/etc/makefile.icc delete mode 100644 libtommath/etc/makefile.msvc delete mode 100644 libtommath/etc/mersenne.c delete mode 100644 libtommath/etc/mont.c delete mode 100644 libtommath/etc/pprime.c delete mode 100644 libtommath/etc/prime.1024 delete mode 100644 libtommath/etc/prime.512 delete mode 100644 libtommath/etc/timer.asm delete mode 100644 libtommath/etc/tune.c delete mode 100644 libtommath/logs/README delete mode 100644 libtommath/logs/add.log delete mode 100644 libtommath/logs/addsub.png delete mode 100644 libtommath/logs/expt.log delete mode 100644 libtommath/logs/expt.png delete mode 100644 libtommath/logs/expt_2k.log delete mode 100644 libtommath/logs/expt_2kl.log delete mode 100644 libtommath/logs/expt_dr.log delete mode 100644 libtommath/logs/graphs.dem delete mode 100644 libtommath/logs/index.html delete mode 100644 libtommath/logs/invmod.log delete mode 100644 libtommath/logs/invmod.png delete mode 100644 libtommath/logs/mult.log delete mode 100644 libtommath/logs/mult.png delete mode 100644 libtommath/logs/mult_kara.log delete mode 100644 libtommath/logs/sqr.log delete mode 100644 libtommath/logs/sqr_kara.log delete mode 100644 libtommath/logs/sub.log delete mode 100644 libtommath/mtest/logtab.h delete mode 100644 libtommath/mtest/mpi-config.h delete mode 100644 libtommath/mtest/mpi-types.h delete mode 100644 libtommath/mtest/mpi.c delete mode 100644 libtommath/mtest/mpi.h delete mode 100644 libtommath/mtest/mtest.c delete mode 100644 libtommath/pics/design_process.sxd delete mode 100644 libtommath/pics/design_process.tif delete mode 100644 libtommath/pics/expt_state.sxd delete mode 100644 libtommath/pics/expt_state.tif delete mode 100644 libtommath/pics/makefile delete mode 100644 libtommath/pics/primality.tif delete mode 100644 libtommath/pics/radix.sxd delete mode 100644 libtommath/pics/sliding_window.sxd delete mode 100644 libtommath/pics/sliding_window.tif delete mode 100644 libtommath/poster.out delete mode 100644 libtommath/poster.pdf delete mode 100644 libtommath/pre_gen/mpi.c delete mode 100644 libtommath/tombc/grammar.txt delete mode 100644 libtommath/tommath.out delete mode 100644 libtommath/tommath.pdf delete mode 100644 libtommath/tommath.tex diff --git a/.fossil-settings/ignore-glob b/.fossil-settings/ignore-glob index 9ed86b1..840bfed 100644 --- a/.fossil-settings/ignore-glob +++ b/.fossil-settings/ignore-glob @@ -17,6 +17,18 @@ */tclsh* */tcltest* */versions.vc +libtommath/bn.ilg +libtommath/bn.ind +libtommath/*.pdf +libtommath/tombc/* +libtommath/pre_gen/* +libtommath/pics/* +libtommath/mtest/* +libtommath/logs/* +libtommath/etc/* +libtommath/demo/* +libtommath/*.out +libtommath/*.tex unix/dltest.marker unix/tcl.pc unix/pkgs/* diff --git a/libtommath/bn.ilg b/libtommath/bn.ilg deleted file mode 100644 index 3c859f0..0000000 --- a/libtommath/bn.ilg +++ /dev/null @@ -1,6 +0,0 @@ -This is makeindex, version 2.14 [02-Oct-2002] (kpathsea + Thai support). -Scanning input file bn.idx....done (79 entries accepted, 0 rejected). -Sorting entries....done (511 comparisons). -Generating output file bn.ind....done (82 lines written, 0 warnings). -Output written in bn.ind. -Transcript written in bn.ilg. diff --git a/libtommath/bn.ind b/libtommath/bn.ind deleted file mode 100644 index e5f7d4a..0000000 --- a/libtommath/bn.ind +++ /dev/null @@ -1,82 +0,0 @@ -\begin{theindex} - - \item mp\_add, \hyperpage{29} - \item mp\_add\_d, \hyperpage{52} - \item mp\_and, \hyperpage{29} - \item mp\_clear, \hyperpage{11} - \item mp\_clear\_multi, \hyperpage{12} - \item mp\_cmp, \hyperpage{24} - \item mp\_cmp\_d, \hyperpage{25} - \item mp\_cmp\_mag, \hyperpage{23} - \item mp\_div, \hyperpage{30} - \item mp\_div\_2, \hyperpage{26} - \item mp\_div\_2d, \hyperpage{28} - \item mp\_div\_d, \hyperpage{52} - \item mp\_dr\_reduce, \hyperpage{40} - \item mp\_dr\_setup, \hyperpage{40} - \item MP\_EQ, \hyperpage{22} - \item mp\_error\_to\_string, \hyperpage{10} - \item mp\_expt\_d, \hyperpage{43} - \item mp\_exptmod, \hyperpage{43} - \item mp\_exteuclid, \hyperpage{51} - \item mp\_gcd, \hyperpage{51} - \item mp\_get\_int, \hyperpage{20} - \item mp\_grow, \hyperpage{16} - \item MP\_GT, \hyperpage{22} - \item mp\_init, \hyperpage{11} - \item mp\_init\_copy, \hyperpage{13} - \item mp\_init\_multi, \hyperpage{12} - \item mp\_init\_set, \hyperpage{21} - \item mp\_init\_set\_int, \hyperpage{21} - \item mp\_init\_size, \hyperpage{14} - \item mp\_int, \hyperpage{10} - \item mp\_invmod, \hyperpage{52} - \item mp\_jacobi, \hyperpage{52} - \item mp\_lcm, \hyperpage{51} - \item mp\_lshd, \hyperpage{28} - \item MP\_LT, \hyperpage{22} - \item MP\_MEM, \hyperpage{9} - \item mp\_mod, \hyperpage{35} - \item mp\_mod\_d, \hyperpage{52} - \item mp\_montgomery\_calc\_normalization, \hyperpage{38} - \item mp\_montgomery\_reduce, \hyperpage{37} - \item mp\_montgomery\_setup, \hyperpage{37} - \item mp\_mul, \hyperpage{31} - \item mp\_mul\_2, \hyperpage{26} - \item mp\_mul\_2d, \hyperpage{28} - \item mp\_mul\_d, \hyperpage{52} - \item mp\_n\_root, \hyperpage{44} - \item mp\_neg, \hyperpage{29} - \item MP\_NO, \hyperpage{9} - \item MP\_OKAY, \hyperpage{9} - \item mp\_or, \hyperpage{29} - \item mp\_prime\_fermat, \hyperpage{45} - \item mp\_prime\_is\_divisible, \hyperpage{45} - \item mp\_prime\_is\_prime, \hyperpage{46} - \item mp\_prime\_miller\_rabin, \hyperpage{45} - \item mp\_prime\_next\_prime, \hyperpage{46} - \item mp\_prime\_rabin\_miller\_trials, \hyperpage{46} - \item mp\_prime\_random, \hyperpage{47} - \item mp\_prime\_random\_ex, \hyperpage{47} - \item mp\_radix\_size, \hyperpage{49} - \item mp\_read\_radix, \hyperpage{49} - \item mp\_read\_unsigned\_bin, \hyperpage{50} - \item mp\_reduce, \hyperpage{36} - \item mp\_reduce\_2k, \hyperpage{41} - \item mp\_reduce\_2k\_setup, \hyperpage{41} - \item mp\_reduce\_setup, \hyperpage{36} - \item mp\_rshd, \hyperpage{28} - \item mp\_set, \hyperpage{19} - \item mp\_set\_int, \hyperpage{20} - \item mp\_shrink, \hyperpage{15} - \item mp\_sqr, \hyperpage{33} - \item mp\_sub, \hyperpage{29} - \item mp\_sub\_d, \hyperpage{52} - \item mp\_to\_unsigned\_bin, \hyperpage{50} - \item mp\_toradix, \hyperpage{49} - \item mp\_unsigned\_bin\_size, \hyperpage{50} - \item MP\_VAL, \hyperpage{9} - \item mp\_xor, \hyperpage{29} - \item MP\_YES, \hyperpage{9} - -\end{theindex} diff --git a/libtommath/bn.pdf b/libtommath/bn.pdf deleted file mode 100644 index 392b649..0000000 Binary files a/libtommath/bn.pdf and /dev/null differ diff --git a/libtommath/demo/demo.c b/libtommath/demo/demo.c deleted file mode 100644 index e1f8a5e..0000000 --- a/libtommath/demo/demo.c +++ /dev/null @@ -1,736 +0,0 @@ -#include - -#ifdef IOWNANATHLON -#include -#define SLEEP sleep(4) -#else -#define SLEEP -#endif - -#include "tommath.h" - -void ndraw(mp_int * a, char *name) -{ - char buf[16000]; - - printf("%s: ", name); - mp_toradix(a, buf, 10); - printf("%s\n", buf); -} - -static void draw(mp_int * a) -{ - ndraw(a, ""); -} - - -unsigned long lfsr = 0xAAAAAAAAUL; - -int lbit(void) -{ - if (lfsr & 0x80000000UL) { - lfsr = ((lfsr << 1) ^ 0x8000001BUL) & 0xFFFFFFFFUL; - return 1; - } else { - lfsr <<= 1; - return 0; - } -} - -int myrng(unsigned char *dst, int len, void *dat) -{ - int x; - - for (x = 0; x < len; x++) - dst[x] = rand() & 0xFF; - return len; -} - - - -char cmd[4096], buf[4096]; -int main(void) -{ - mp_int a, b, c, d, e, f; - unsigned long expt_n, add_n, sub_n, mul_n, div_n, sqr_n, mul2d_n, div2d_n, - gcd_n, lcm_n, inv_n, div2_n, mul2_n, add_d_n, sub_d_n, t; - unsigned rr; - int i, n, err, cnt, ix, old_kara_m, old_kara_s; - mp_digit mp; - - - mp_init(&a); - mp_init(&b); - mp_init(&c); - mp_init(&d); - mp_init(&e); - mp_init(&f); - - srand(time(NULL)); - -#if 0 - // test montgomery - printf("Testing montgomery...\n"); - for (i = 1; i < 10; i++) { - printf("Testing digit size: %d\n", i); - for (n = 0; n < 1000; n++) { - mp_rand(&a, i); - a.dp[0] |= 1; - - // let's see if R is right - mp_montgomery_calc_normalization(&b, &a); - mp_montgomery_setup(&a, &mp); - - // now test a random reduction - for (ix = 0; ix < 100; ix++) { - mp_rand(&c, 1 + abs(rand()) % (2*i)); - mp_copy(&c, &d); - mp_copy(&c, &e); - - mp_mod(&d, &a, &d); - mp_montgomery_reduce(&c, &a, mp); - mp_mulmod(&c, &b, &a, &c); - - if (mp_cmp(&c, &d) != MP_EQ) { -printf("d = e mod a, c = e MOD a\n"); -mp_todecimal(&a, buf); printf("a = %s\n", buf); -mp_todecimal(&e, buf); printf("e = %s\n", buf); -mp_todecimal(&d, buf); printf("d = %s\n", buf); -mp_todecimal(&c, buf); printf("c = %s\n", buf); -printf("compare no compare!\n"); exit(EXIT_FAILURE); } - } - } - } - printf("done\n"); - - // test mp_get_int - printf("Testing: mp_get_int\n"); - for (i = 0; i < 1000; ++i) { - t = ((unsigned long) rand() * rand() + 1) & 0xFFFFFFFF; - mp_set_int(&a, t); - if (t != mp_get_int(&a)) { - printf("mp_get_int() bad result!\n"); - return 1; - } - } - mp_set_int(&a, 0); - if (mp_get_int(&a) != 0) { - printf("mp_get_int() bad result!\n"); - return 1; - } - mp_set_int(&a, 0xffffffff); - if (mp_get_int(&a) != 0xffffffff) { - printf("mp_get_int() bad result!\n"); - return 1; - } - // test mp_sqrt - printf("Testing: mp_sqrt\n"); - for (i = 0; i < 1000; ++i) { - printf("%6d\r", i); - fflush(stdout); - n = (rand() & 15) + 1; - mp_rand(&a, n); - if (mp_sqrt(&a, &b) != MP_OKAY) { - printf("mp_sqrt() error!\n"); - return 1; - } - mp_n_root(&a, 2, &a); - if (mp_cmp_mag(&b, &a) != MP_EQ) { - printf("mp_sqrt() bad result!\n"); - return 1; - } - } - - printf("\nTesting: mp_is_square\n"); - for (i = 0; i < 1000; ++i) { - printf("%6d\r", i); - fflush(stdout); - - /* test mp_is_square false negatives */ - n = (rand() & 7) + 1; - mp_rand(&a, n); - mp_sqr(&a, &a); - if (mp_is_square(&a, &n) != MP_OKAY) { - printf("fn:mp_is_square() error!\n"); - return 1; - } - if (n == 0) { - printf("fn:mp_is_square() bad result!\n"); - return 1; - } - - /* test for false positives */ - mp_add_d(&a, 1, &a); - if (mp_is_square(&a, &n) != MP_OKAY) { - printf("fp:mp_is_square() error!\n"); - return 1; - } - if (n == 1) { - printf("fp:mp_is_square() bad result!\n"); - return 1; - } - - } - printf("\n\n"); - - /* test for size */ - for (ix = 10; ix < 128; ix++) { - printf("Testing (not safe-prime): %9d bits \r", ix); - fflush(stdout); - err = - mp_prime_random_ex(&a, 8, ix, - (rand() & 1) ? LTM_PRIME_2MSB_OFF : - LTM_PRIME_2MSB_ON, myrng, NULL); - if (err != MP_OKAY) { - printf("failed with err code %d\n", err); - return EXIT_FAILURE; - } - if (mp_count_bits(&a) != ix) { - printf("Prime is %d not %d bits!!!\n", mp_count_bits(&a), ix); - return EXIT_FAILURE; - } - } - - for (ix = 16; ix < 128; ix++) { - printf("Testing ( safe-prime): %9d bits \r", ix); - fflush(stdout); - err = - mp_prime_random_ex(&a, 8, ix, - ((rand() & 1) ? LTM_PRIME_2MSB_OFF : - LTM_PRIME_2MSB_ON) | LTM_PRIME_SAFE, myrng, - NULL); - if (err != MP_OKAY) { - printf("failed with err code %d\n", err); - return EXIT_FAILURE; - } - if (mp_count_bits(&a) != ix) { - printf("Prime is %d not %d bits!!!\n", mp_count_bits(&a), ix); - return EXIT_FAILURE; - } - /* let's see if it's really a safe prime */ - mp_sub_d(&a, 1, &a); - mp_div_2(&a, &a); - mp_prime_is_prime(&a, 8, &cnt); - if (cnt != MP_YES) { - printf("sub is not prime!\n"); - return EXIT_FAILURE; - } - } - - printf("\n\n"); - - mp_read_radix(&a, "123456", 10); - mp_toradix_n(&a, buf, 10, 3); - printf("a == %s\n", buf); - mp_toradix_n(&a, buf, 10, 4); - printf("a == %s\n", buf); - mp_toradix_n(&a, buf, 10, 30); - printf("a == %s\n", buf); - - -#if 0 - for (;;) { - fgets(buf, sizeof(buf), stdin); - mp_read_radix(&a, buf, 10); - mp_prime_next_prime(&a, 5, 1); - mp_toradix(&a, buf, 10); - printf("%s, %lu\n", buf, a.dp[0] & 3); - } -#endif - - /* test mp_cnt_lsb */ - printf("testing mp_cnt_lsb...\n"); - mp_set(&a, 1); - for (ix = 0; ix < 1024; ix++) { - if (mp_cnt_lsb(&a) != ix) { - printf("Failed at %d, %d\n", ix, mp_cnt_lsb(&a)); - return 0; - } - mp_mul_2(&a, &a); - } - -/* test mp_reduce_2k */ - printf("Testing mp_reduce_2k...\n"); - for (cnt = 3; cnt <= 128; ++cnt) { - mp_digit tmp; - - mp_2expt(&a, cnt); - mp_sub_d(&a, 2, &a); /* a = 2**cnt - 2 */ - - - printf("\nTesting %4d bits", cnt); - printf("(%d)", mp_reduce_is_2k(&a)); - mp_reduce_2k_setup(&a, &tmp); - printf("(%d)", tmp); - for (ix = 0; ix < 1000; ix++) { - if (!(ix & 127)) { - printf("."); - fflush(stdout); - } - mp_rand(&b, (cnt / DIGIT_BIT + 1) * 2); - mp_copy(&c, &b); - mp_mod(&c, &a, &c); - mp_reduce_2k(&b, &a, 2); - if (mp_cmp(&c, &b)) { - printf("FAILED\n"); - exit(0); - } - } - } - -/* test mp_div_3 */ - printf("Testing mp_div_3...\n"); - mp_set(&d, 3); - for (cnt = 0; cnt < 10000;) { - mp_digit r1, r2; - - if (!(++cnt & 127)) - printf("%9d\r", cnt); - mp_rand(&a, abs(rand()) % 128 + 1); - mp_div(&a, &d, &b, &e); - mp_div_3(&a, &c, &r2); - - if (mp_cmp(&b, &c) || mp_cmp_d(&e, r2)) { - printf("\n\nmp_div_3 => Failure\n"); - } - } - printf("\n\nPassed div_3 testing\n"); - -/* test the DR reduction */ - printf("testing mp_dr_reduce...\n"); - for (cnt = 2; cnt < 32; cnt++) { - printf("%d digit modulus\n", cnt); - mp_grow(&a, cnt); - mp_zero(&a); - for (ix = 1; ix < cnt; ix++) { - a.dp[ix] = MP_MASK; - } - a.used = cnt; - a.dp[0] = 3; - - mp_rand(&b, cnt - 1); - mp_copy(&b, &c); - - rr = 0; - do { - if (!(rr & 127)) { - printf("%9lu\r", rr); - fflush(stdout); - } - mp_sqr(&b, &b); - mp_add_d(&b, 1, &b); - mp_copy(&b, &c); - - mp_mod(&b, &a, &b); - mp_dr_reduce(&c, &a, (((mp_digit) 1) << DIGIT_BIT) - a.dp[0]); - - if (mp_cmp(&b, &c) != MP_EQ) { - printf("Failed on trial %lu\n", rr); - exit(-1); - - } - } while (++rr < 500); - printf("Passed DR test for %d digits\n", cnt); - } - -#endif - -/* test the mp_reduce_2k_l code */ -#if 0 -#if 0 -/* first load P with 2^1024 - 0x2A434 B9FDEC95 D8F9D550 FFFFFFFF FFFFFFFF */ - mp_2expt(&a, 1024); - mp_read_radix(&b, "2A434B9FDEC95D8F9D550FFFFFFFFFFFFFFFF", 16); - mp_sub(&a, &b, &a); -#elif 1 -/* p = 2^2048 - 0x1 00000000 00000000 00000000 00000000 4945DDBF 8EA2A91D 5776399B B83E188F */ - mp_2expt(&a, 2048); - mp_read_radix(&b, - "1000000000000000000000000000000004945DDBF8EA2A91D5776399BB83E188F", - 16); - mp_sub(&a, &b, &a); -#endif - - mp_todecimal(&a, buf); - printf("p==%s\n", buf); -/* now mp_reduce_is_2k_l() should return */ - if (mp_reduce_is_2k_l(&a) != 1) { - printf("mp_reduce_is_2k_l() return 0, should be 1\n"); - return EXIT_FAILURE; - } - mp_reduce_2k_setup_l(&a, &d); - /* now do a million square+1 to see if it varies */ - mp_rand(&b, 64); - mp_mod(&b, &a, &b); - mp_copy(&b, &c); - printf("testing mp_reduce_2k_l..."); - fflush(stdout); - for (cnt = 0; cnt < (1UL << 20); cnt++) { - mp_sqr(&b, &b); - mp_add_d(&b, 1, &b); - mp_reduce_2k_l(&b, &a, &d); - mp_sqr(&c, &c); - mp_add_d(&c, 1, &c); - mp_mod(&c, &a, &c); - if (mp_cmp(&b, &c) != MP_EQ) { - printf("mp_reduce_2k_l() failed at step %lu\n", cnt); - mp_tohex(&b, buf); - printf("b == %s\n", buf); - mp_tohex(&c, buf); - printf("c == %s\n", buf); - return EXIT_FAILURE; - } - } - printf("...Passed\n"); -#endif - - div2_n = mul2_n = inv_n = expt_n = lcm_n = gcd_n = add_n = - sub_n = mul_n = div_n = sqr_n = mul2d_n = div2d_n = cnt = add_d_n = - sub_d_n = 0; - - /* force KARA and TOOM to enable despite cutoffs */ - KARATSUBA_SQR_CUTOFF = KARATSUBA_MUL_CUTOFF = 8; - TOOM_SQR_CUTOFF = TOOM_MUL_CUTOFF = 16; - - for (;;) { - /* randomly clear and re-init one variable, this has the affect of triming the alloc space */ - switch (abs(rand()) % 7) { - case 0: - mp_clear(&a); - mp_init(&a); - break; - case 1: - mp_clear(&b); - mp_init(&b); - break; - case 2: - mp_clear(&c); - mp_init(&c); - break; - case 3: - mp_clear(&d); - mp_init(&d); - break; - case 4: - mp_clear(&e); - mp_init(&e); - break; - case 5: - mp_clear(&f); - mp_init(&f); - break; - case 6: - break; /* don't clear any */ - } - - - printf - ("%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu ", - add_n, sub_n, mul_n, div_n, sqr_n, mul2d_n, div2d_n, gcd_n, lcm_n, - expt_n, inv_n, div2_n, mul2_n, add_d_n, sub_d_n); - fgets(cmd, 4095, stdin); - cmd[strlen(cmd) - 1] = 0; - printf("%s ]\r", cmd); - fflush(stdout); - if (!strcmp(cmd, "mul2d")) { - ++mul2d_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - sscanf(buf, "%d", &rr); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - - mp_mul_2d(&a, rr, &a); - a.sign = b.sign; - if (mp_cmp(&a, &b) != MP_EQ) { - printf("mul2d failed, rr == %d\n", rr); - draw(&a); - draw(&b); - return 0; - } - } else if (!strcmp(cmd, "div2d")) { - ++div2d_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - sscanf(buf, "%d", &rr); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - - mp_div_2d(&a, rr, &a, &e); - a.sign = b.sign; - if (a.used == b.used && a.used == 0) { - a.sign = b.sign = MP_ZPOS; - } - if (mp_cmp(&a, &b) != MP_EQ) { - printf("div2d failed, rr == %d\n", rr); - draw(&a); - draw(&b); - return 0; - } - } else if (!strcmp(cmd, "add")) { - ++add_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&c, buf, 64); - mp_copy(&a, &d); - mp_add(&d, &b, &d); - if (mp_cmp(&c, &d) != MP_EQ) { - printf("add %lu failure!\n", add_n); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - return 0; - } - - /* test the sign/unsigned storage functions */ - - rr = mp_signed_bin_size(&c); - mp_to_signed_bin(&c, (unsigned char *) cmd); - memset(cmd + rr, rand() & 255, sizeof(cmd) - rr); - mp_read_signed_bin(&d, (unsigned char *) cmd, rr); - if (mp_cmp(&c, &d) != MP_EQ) { - printf("mp_signed_bin failure!\n"); - draw(&c); - draw(&d); - return 0; - } - - - rr = mp_unsigned_bin_size(&c); - mp_to_unsigned_bin(&c, (unsigned char *) cmd); - memset(cmd + rr, rand() & 255, sizeof(cmd) - rr); - mp_read_unsigned_bin(&d, (unsigned char *) cmd, rr); - if (mp_cmp_mag(&c, &d) != MP_EQ) { - printf("mp_unsigned_bin failure!\n"); - draw(&c); - draw(&d); - return 0; - } - - } else if (!strcmp(cmd, "sub")) { - ++sub_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&c, buf, 64); - mp_copy(&a, &d); - mp_sub(&d, &b, &d); - if (mp_cmp(&c, &d) != MP_EQ) { - printf("sub %lu failure!\n", sub_n); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - return 0; - } - } else if (!strcmp(cmd, "mul")) { - ++mul_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&c, buf, 64); - mp_copy(&a, &d); - mp_mul(&d, &b, &d); - if (mp_cmp(&c, &d) != MP_EQ) { - printf("mul %lu failure!\n", mul_n); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - return 0; - } - } else if (!strcmp(cmd, "div")) { - ++div_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&c, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&d, buf, 64); - - mp_div(&a, &b, &e, &f); - if (mp_cmp(&c, &e) != MP_EQ || mp_cmp(&d, &f) != MP_EQ) { - printf("div %lu %d, %d, failure!\n", div_n, mp_cmp(&c, &e), - mp_cmp(&d, &f)); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - draw(&e); - draw(&f); - return 0; - } - - } else if (!strcmp(cmd, "sqr")) { - ++sqr_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - mp_copy(&a, &c); - mp_sqr(&c, &c); - if (mp_cmp(&b, &c) != MP_EQ) { - printf("sqr %lu failure!\n", sqr_n); - draw(&a); - draw(&b); - draw(&c); - return 0; - } - } else if (!strcmp(cmd, "gcd")) { - ++gcd_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&c, buf, 64); - mp_copy(&a, &d); - mp_gcd(&d, &b, &d); - d.sign = c.sign; - if (mp_cmp(&c, &d) != MP_EQ) { - printf("gcd %lu failure!\n", gcd_n); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - return 0; - } - } else if (!strcmp(cmd, "lcm")) { - ++lcm_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&c, buf, 64); - mp_copy(&a, &d); - mp_lcm(&d, &b, &d); - d.sign = c.sign; - if (mp_cmp(&c, &d) != MP_EQ) { - printf("lcm %lu failure!\n", lcm_n); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - return 0; - } - } else if (!strcmp(cmd, "expt")) { - ++expt_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&c, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&d, buf, 64); - mp_copy(&a, &e); - mp_exptmod(&e, &b, &c, &e); - if (mp_cmp(&d, &e) != MP_EQ) { - printf("expt %lu failure!\n", expt_n); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - draw(&e); - return 0; - } - } else if (!strcmp(cmd, "invmod")) { - ++inv_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&c, buf, 64); - mp_invmod(&a, &b, &d); - mp_mulmod(&d, &a, &b, &e); - if (mp_cmp_d(&e, 1) != MP_EQ) { - printf("inv [wrong value from MPI?!] failure\n"); - draw(&a); - draw(&b); - draw(&c); - draw(&d); - mp_gcd(&a, &b, &e); - draw(&e); - return 0; - } - - } else if (!strcmp(cmd, "div2")) { - ++div2_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - mp_div_2(&a, &c); - if (mp_cmp(&c, &b) != MP_EQ) { - printf("div_2 %lu failure\n", div2_n); - draw(&a); - draw(&b); - draw(&c); - return 0; - } - } else if (!strcmp(cmd, "mul2")) { - ++mul2_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - mp_mul_2(&a, &c); - if (mp_cmp(&c, &b) != MP_EQ) { - printf("mul_2 %lu failure\n", mul2_n); - draw(&a); - draw(&b); - draw(&c); - return 0; - } - } else if (!strcmp(cmd, "add_d")) { - ++add_d_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - sscanf(buf, "%d", &ix); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - mp_add_d(&a, ix, &c); - if (mp_cmp(&b, &c) != MP_EQ) { - printf("add_d %lu failure\n", add_d_n); - draw(&a); - draw(&b); - draw(&c); - printf("d == %d\n", ix); - return 0; - } - } else if (!strcmp(cmd, "sub_d")) { - ++sub_d_n; - fgets(buf, 4095, stdin); - mp_read_radix(&a, buf, 64); - fgets(buf, 4095, stdin); - sscanf(buf, "%d", &ix); - fgets(buf, 4095, stdin); - mp_read_radix(&b, buf, 64); - mp_sub_d(&a, ix, &c); - if (mp_cmp(&b, &c) != MP_EQ) { - printf("sub_d %lu failure\n", sub_d_n); - draw(&a); - draw(&b); - draw(&c); - printf("d == %d\n", ix); - return 0; - } - } - } - return 0; -} diff --git a/libtommath/demo/timing.c b/libtommath/demo/timing.c deleted file mode 100644 index bb3be52..0000000 --- a/libtommath/demo/timing.c +++ /dev/null @@ -1,315 +0,0 @@ -#include -#include - -ulong64 _tt; - -#ifdef IOWNANATHLON -#include -#define SLEEP sleep(4) -#else -#define SLEEP -#endif - - -void ndraw(mp_int * a, char *name) -{ - char buf[4096]; - - printf("%s: ", name); - mp_toradix(a, buf, 64); - printf("%s\n", buf); -} - -static void draw(mp_int * a) -{ - ndraw(a, ""); -} - - -unsigned long lfsr = 0xAAAAAAAAUL; - -int lbit(void) -{ - if (lfsr & 0x80000000UL) { - lfsr = ((lfsr << 1) ^ 0x8000001BUL) & 0xFFFFFFFFUL; - return 1; - } else { - lfsr <<= 1; - return 0; - } -} - -/* RDTSC from Scott Duplichan */ -static ulong64 TIMFUNC(void) -{ -#if defined __GNUC__ -#if defined(__i386__) || defined(__x86_64__) - unsigned long long a; - __asm__ __volatile__("rdtsc\nmovl %%eax,%0\nmovl %%edx,4+%0\n":: - "m"(a):"%eax", "%edx"); - return a; -#else /* gcc-IA64 version */ - unsigned long result; - __asm__ __volatile__("mov %0=ar.itc":"=r"(result)::"memory"); - - while (__builtin_expect((int) result == -1, 0)) - __asm__ __volatile__("mov %0=ar.itc":"=r"(result)::"memory"); - - return result; -#endif - - // Microsoft and Intel Windows compilers -#elif defined _M_IX86 - __asm rdtsc -#elif defined _M_AMD64 - return __rdtsc(); -#elif defined _M_IA64 -#if defined __INTEL_COMPILER -#include -#endif - return __getReg(3116); -#else -#error need rdtsc function for this build -#endif -} - -#define DO(x) x; x; -//#define DO4(x) DO2(x); DO2(x); -//#define DO8(x) DO4(x); DO4(x); -//#define DO(x) DO8(x); DO8(x); - -int main(void) -{ - ulong64 tt, gg, CLK_PER_SEC; - FILE *log, *logb, *logc, *logd; - mp_int a, b, c, d, e, f; - int n, cnt, ix, old_kara_m, old_kara_s; - unsigned rr; - - mp_init(&a); - mp_init(&b); - mp_init(&c); - mp_init(&d); - mp_init(&e); - mp_init(&f); - - srand(time(NULL)); - - - /* temp. turn off TOOM */ - TOOM_MUL_CUTOFF = TOOM_SQR_CUTOFF = 100000; - - CLK_PER_SEC = TIMFUNC(); - sleep(1); - CLK_PER_SEC = TIMFUNC() - CLK_PER_SEC; - - printf("CLK_PER_SEC == %llu\n", CLK_PER_SEC); - goto exptmod; - log = fopen("logs/add.log", "w"); - for (cnt = 8; cnt <= 128; cnt += 8) { - SLEEP; - mp_rand(&a, cnt); - mp_rand(&b, cnt); - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_add(&a, &b, &c)); - gg = (TIMFUNC() - gg) >> 1; - if (tt > gg) - tt = gg; - } while (++rr < 100000); - printf("Adding\t\t%4d-bit => %9llu/sec, %9llu cycles\n", - mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); - fflush(log); - } - fclose(log); - - log = fopen("logs/sub.log", "w"); - for (cnt = 8; cnt <= 128; cnt += 8) { - SLEEP; - mp_rand(&a, cnt); - mp_rand(&b, cnt); - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_sub(&a, &b, &c)); - gg = (TIMFUNC() - gg) >> 1; - if (tt > gg) - tt = gg; - } while (++rr < 100000); - - printf("Subtracting\t\t%4d-bit => %9llu/sec, %9llu cycles\n", - mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); - fflush(log); - } - fclose(log); - - /* do mult/square twice, first without karatsuba and second with */ - multtest: - old_kara_m = KARATSUBA_MUL_CUTOFF; - old_kara_s = KARATSUBA_SQR_CUTOFF; - for (ix = 0; ix < 2; ix++) { - printf("With%s Karatsuba\n", (ix == 0) ? "out" : ""); - - KARATSUBA_MUL_CUTOFF = (ix == 0) ? 9999 : old_kara_m; - KARATSUBA_SQR_CUTOFF = (ix == 0) ? 9999 : old_kara_s; - - log = fopen((ix == 0) ? "logs/mult.log" : "logs/mult_kara.log", "w"); - for (cnt = 4; cnt <= 10240 / DIGIT_BIT; cnt += 2) { - SLEEP; - mp_rand(&a, cnt); - mp_rand(&b, cnt); - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_mul(&a, &b, &c)); - gg = (TIMFUNC() - gg) >> 1; - if (tt > gg) - tt = gg; - } while (++rr < 100); - printf("Multiplying\t%4d-bit => %9llu/sec, %9llu cycles\n", - mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(log, "%d %9llu\n", mp_count_bits(&a), tt); - fflush(log); - } - fclose(log); - - log = fopen((ix == 0) ? "logs/sqr.log" : "logs/sqr_kara.log", "w"); - for (cnt = 4; cnt <= 10240 / DIGIT_BIT; cnt += 2) { - SLEEP; - mp_rand(&a, cnt); - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_sqr(&a, &b)); - gg = (TIMFUNC() - gg) >> 1; - if (tt > gg) - tt = gg; - } while (++rr < 100); - printf("Squaring\t%4d-bit => %9llu/sec, %9llu cycles\n", - mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(log, "%d %9llu\n", mp_count_bits(&a), tt); - fflush(log); - } - fclose(log); - - } - exptmod: - - { - char *primes[] = { - /* 2K large moduli */ - "179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586239334100047359817950870678242457666208137217", - "32317006071311007300714876688669951960444102669715484032130345427524655138867890893197201411522913463688717960921898019494119559150490921095088152386448283120630877367300996091750197750389652106796057638384067568276792218642619756161838094338476170470581645852036305042887575891541065808607552399123930385521914333389668342420684974786564569494856176035326322058077805659331026192708460314150258592864177116725943603718461857357598351152301645904403697613233287231227125684710820209725157101726931323469678542580656697935045997268352998638099733077152121140120031150424541696791951097529546801429027668869927491725169", - "1044388881413152506691752710716624382579964249047383780384233483283953907971557456848826811934997558340890106714439262837987573438185793607263236087851365277945956976543709998340361590134383718314428070011855946226376318839397712745672334684344586617496807908705803704071284048740118609114467977783598029006686938976881787785946905630190260940599579453432823469303026696443059025015972399867714215541693835559885291486318237914434496734087811872639496475100189041349008417061675093668333850551032972088269550769983616369411933015213796825837188091833656751221318492846368125550225998300412344784862595674492194617023806505913245610825731835380087608622102834270197698202313169017678006675195485079921636419370285375124784014907159135459982790513399611551794271106831134090584272884279791554849782954323534517065223269061394905987693002122963395687782878948440616007412945674919823050571642377154816321380631045902916136926708342856440730447899971901781465763473223850267253059899795996090799469201774624817718449867455659250178329070473119433165550807568221846571746373296884912819520317457002440926616910874148385078411929804522981857338977648103126085902995208257421855249796721729039744118165938433694823325696642096892124547425283", - /* 2K moduli mersenne primes */ - "6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057151", - "531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728127", - "10407932194664399081925240327364085538615262247266704805319112350403608059673360298012239441732324184842421613954281007791383566248323464908139906605677320762924129509389220345773183349661583550472959420547689811211693677147548478866962501384438260291732348885311160828538416585028255604666224831890918801847068222203140521026698435488732958028878050869736186900714720710555703168729087", - "1475979915214180235084898622737381736312066145333169775147771216478570297878078949377407337049389289382748507531496480477281264838760259191814463365330269540496961201113430156902396093989090226259326935025281409614983499388222831448598601834318536230923772641390209490231836446899608210795482963763094236630945410832793769905399982457186322944729636418890623372171723742105636440368218459649632948538696905872650486914434637457507280441823676813517852099348660847172579408422316678097670224011990280170474894487426924742108823536808485072502240519452587542875349976558572670229633962575212637477897785501552646522609988869914013540483809865681250419497686697771007", - "259117086013202627776246767922441530941818887553125427303974923161874019266586362086201209516800483406550695241733194177441689509238807017410377709597512042313066624082916353517952311186154862265604547691127595848775610568757931191017711408826252153849035830401185072116424747461823031471398340229288074545677907941037288235820705892351068433882986888616658650280927692080339605869308790500409503709875902119018371991620994002568935113136548829739112656797303241986517250116412703509705427773477972349821676443446668383119322540099648994051790241624056519054483690809616061625743042361721863339415852426431208737266591962061753535748892894599629195183082621860853400937932839420261866586142503251450773096274235376822938649407127700846077124211823080804139298087057504713825264571448379371125032081826126566649084251699453951887789613650248405739378594599444335231188280123660406262468609212150349937584782292237144339628858485938215738821232393687046160677362909315071", - "190797007524439073807468042969529173669356994749940177394741882673528979787005053706368049835514900244303495954950709725762186311224148828811920216904542206960744666169364221195289538436845390250168663932838805192055137154390912666527533007309292687539092257043362517857366624699975402375462954490293259233303137330643531556539739921926201438606439020075174723029056838272505051571967594608350063404495977660656269020823960825567012344189908927956646011998057988548630107637380993519826582389781888135705408653045219655801758081251164080554609057468028203308718724654081055323215860189611391296030471108443146745671967766308925858547271507311563765171008318248647110097614890313562856541784154881743146033909602737947385055355960331855614540900081456378659068370317267696980001187750995491090350108417050917991562167972281070161305972518044872048331306383715094854938415738549894606070722584737978176686422134354526989443028353644037187375385397838259511833166416134323695660367676897722287918773420968982326089026150031515424165462111337527431154890666327374921446276833564519776797633875503548665093914556482031482248883127023777039667707976559857333357013727342079099064400455741830654320379350833236245819348824064783585692924881021978332974949906122664421376034687815350484991", - - /* DR moduli */ - "14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203368612079", - "101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411688900243039", - "736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140821797602431", - "38564998830736521417281865696453025806593491967131023221754800625044118265468851210705360385717536794615180260494208076605798671660719333199513807806252394423283413430106003596332513246682903994829528690198205120921557533726473585751382193953592127439965050261476810842071573684505878854588706623484573925925903505747545471088867712185004135201289273405614415899438276535626346098904241020877974002916168099951885406379295536200413493190419727789712076165162175783", - "542189391331696172661670440619180536749994166415993334151601745392193484590296600979602378676624808129613777993466242203025054573692562689251250471628358318743978285860720148446448885701001277560572526947619392551574490839286458454994488665744991822837769918095117129546414124448777033941223565831420390846864429504774477949153794689948747680362212954278693335653935890352619041936727463717926744868338358149568368643403037768649616778526013610493696186055899318268339432671541328195724261329606699831016666359440874843103020666106568222401047720269951530296879490444224546654729111504346660859907296364097126834834235287147", - "1487259134814709264092032648525971038895865645148901180585340454985524155135260217788758027400478312256339496385275012465661575576202252063145698732079880294664220579764848767704076761853197216563262660046602703973050798218246170835962005598561669706844469447435461092542265792444947706769615695252256130901271870341005768912974433684521436211263358097522726462083917939091760026658925757076733484173202927141441492573799914240222628795405623953109131594523623353044898339481494120112723445689647986475279242446083151413667587008191682564376412347964146113898565886683139407005941383669325997475076910488086663256335689181157957571445067490187939553165903773554290260531009121879044170766615232300936675369451260747671432073394867530820527479172464106442450727640226503746586340279816318821395210726268291535648506190714616083163403189943334431056876038286530365757187367147446004855912033137386225053275419626102417236133948503", - "1095121115716677802856811290392395128588168592409109494900178008967955253005183831872715423151551999734857184538199864469605657805519106717529655044054833197687459782636297255219742994736751541815269727940751860670268774903340296040006114013971309257028332849679096824800250742691718610670812374272414086863715763724622797509437062518082383056050144624962776302147890521249477060215148275163688301275847155316042279405557632639366066847442861422164832655874655824221577849928863023018366835675399949740429332468186340518172487073360822220449055340582568461568645259954873303616953776393853174845132081121976327462740354930744487429617202585015510744298530101547706821590188733515880733527449780963163909830077616357506845523215289297624086914545378511082534229620116563260168494523906566709418166011112754529766183554579321224940951177394088465596712620076240067370589036924024728375076210477267488679008016579588696191194060127319035195370137160936882402244399699172017835144537488486396906144217720028992863941288217185353914991583400421682751000603596655790990815525126154394344641336397793791497068253936771017031980867706707490224041075826337383538651825493679503771934836094655802776331664261631740148281763487765852746577808019633679", - - /* generic unrestricted moduli */ - "17933601194860113372237070562165128350027320072176844226673287945873370751245439587792371960615073855669274087805055507977323024886880985062002853331424203", - "2893527720709661239493896562339544088620375736490408468011883030469939904368086092336458298221245707898933583190713188177399401852627749210994595974791782790253946539043962213027074922559572312141181787434278708783207966459019479487", - "347743159439876626079252796797422223177535447388206607607181663903045907591201940478223621722118173270898487582987137708656414344685816179420855160986340457973820182883508387588163122354089264395604796675278966117567294812714812796820596564876450716066283126720010859041484786529056457896367683122960411136319", - "47266428956356393164697365098120418976400602706072312735924071745438532218237979333351774907308168340693326687317443721193266215155735814510792148768576498491199122744351399489453533553203833318691678263241941706256996197460424029012419012634671862283532342656309677173602509498417976091509154360039893165037637034737020327399910409885798185771003505320583967737293415979917317338985837385734747478364242020380416892056650841470869294527543597349250299539682430605173321029026555546832473048600327036845781970289288898317888427517364945316709081173840186150794397479045034008257793436817683392375274635794835245695887", - "436463808505957768574894870394349739623346440601945961161254440072143298152040105676491048248110146278752857839930515766167441407021501229924721335644557342265864606569000117714935185566842453630868849121480179691838399545644365571106757731317371758557990781880691336695584799313313687287468894148823761785582982549586183756806449017542622267874275103877481475534991201849912222670102069951687572917937634467778042874315463238062009202992087620963771759666448266532858079402669920025224220613419441069718482837399612644978839925207109870840278194042158748845445131729137117098529028886770063736487420613144045836803985635654192482395882603511950547826439092832800532152534003936926017612446606135655146445620623395788978726744728503058670046885876251527122350275750995227", - "11424167473351836398078306042624362277956429440521137061889702611766348760692206243140413411077394583180726863277012016602279290144126785129569474909173584789822341986742719230331946072730319555984484911716797058875905400999504305877245849119687509023232790273637466821052576859232452982061831009770786031785669030271542286603956118755585683996118896215213488875253101894663403069677745948305893849505434201763745232895780711972432011344857521691017896316861403206449421332243658855453435784006517202894181640562433575390821384210960117518650374602256601091379644034244332285065935413233557998331562749140202965844219336298970011513882564935538704289446968322281451907487362046511461221329799897350993370560697505809686438782036235372137015731304779072430260986460269894522159103008260495503005267165927542949439526272736586626709581721032189532726389643625590680105784844246152702670169304203783072275089194754889511973916207", - "1214855636816562637502584060163403830270705000634713483015101384881871978446801224798536155406895823305035467591632531067547890948695117172076954220727075688048751022421198712032848890056357845974246560748347918630050853933697792254955890439720297560693579400297062396904306270145886830719309296352765295712183040773146419022875165382778007040109957609739589875590885701126197906063620133954893216612678838507540777138437797705602453719559017633986486649523611975865005712371194067612263330335590526176087004421363598470302731349138773205901447704682181517904064735636518462452242791676541725292378925568296858010151852326316777511935037531017413910506921922450666933202278489024521263798482237150056835746454842662048692127173834433089016107854491097456725016327709663199738238442164843147132789153725513257167915555162094970853584447993125488607696008169807374736711297007473812256272245489405898470297178738029484459690836250560495461579533254473316340608217876781986188705928270735695752830825527963838355419762516246028680280988020401914551825487349990306976304093109384451438813251211051597392127491464898797406789175453067960072008590614886532333015881171367104445044718144312416815712216611576221546455968770801413440778423979", - NULL - }; - log = fopen("logs/expt.log", "w"); - logb = fopen("logs/expt_dr.log", "w"); - logc = fopen("logs/expt_2k.log", "w"); - logd = fopen("logs/expt_2kl.log", "w"); - for (n = 0; primes[n]; n++) { - SLEEP; - mp_read_radix(&a, primes[n], 10); - mp_zero(&b); - for (rr = 0; rr < (unsigned) mp_count_bits(&a); rr++) { - mp_mul_2(&b, &b); - b.dp[0] |= lbit(); - b.used += 1; - } - mp_sub_d(&a, 1, &c); - mp_mod(&b, &c, &b); - mp_set(&c, 3); - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_exptmod(&c, &b, &a, &d)); - gg = (TIMFUNC() - gg) >> 1; - if (tt > gg) - tt = gg; - } while (++rr < 10); - mp_sub_d(&a, 1, &e); - mp_sub(&e, &b, &b); - mp_exptmod(&c, &b, &a, &e); /* c^(p-1-b) mod a */ - mp_mulmod(&e, &d, &a, &d); /* c^b * c^(p-1-b) == c^p-1 == 1 */ - if (mp_cmp_d(&d, 1)) { - printf("Different (%d)!!!\n", mp_count_bits(&a)); - draw(&d); - exit(0); - } - printf("Exponentiating\t%4d-bit => %9llu/sec, %9llu cycles\n", - mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(n < 4 ? logd : (n < 9) ? logc : (n < 16) ? logb : log, - "%d %9llu\n", mp_count_bits(&a), tt); - } - } - fclose(log); - fclose(logb); - fclose(logc); - fclose(logd); - - log = fopen("logs/invmod.log", "w"); - for (cnt = 4; cnt <= 128; cnt += 4) { - SLEEP; - mp_rand(&a, cnt); - mp_rand(&b, cnt); - - do { - mp_add_d(&b, 1, &b); - mp_gcd(&a, &b, &c); - } while (mp_cmp_d(&c, 1) != MP_EQ); - - rr = 0; - tt = -1; - do { - gg = TIMFUNC(); - DO(mp_invmod(&b, &a, &c)); - gg = (TIMFUNC() - gg) >> 1; - if (tt > gg) - tt = gg; - } while (++rr < 1000); - mp_mulmod(&b, &c, &a, &d); - if (mp_cmp_d(&d, 1) != MP_EQ) { - printf("Failed to invert\n"); - return 0; - } - printf("Inverting mod\t%4d-bit => %9llu/sec, %9llu cycles\n", - mp_count_bits(&a), CLK_PER_SEC / tt, tt); - fprintf(log, "%d %9llu\n", cnt * DIGIT_BIT, tt); - } - fclose(log); - - return 0; -} diff --git a/libtommath/etc/2kprime.1 b/libtommath/etc/2kprime.1 deleted file mode 100644 index c41ded1..0000000 --- a/libtommath/etc/2kprime.1 +++ /dev/null @@ -1,2 +0,0 @@ -256-bits (k = 36113) = 115792089237316195423570985008687907853269984665640564039457584007913129603823 -512-bits (k = 38117) = 13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006045979 diff --git a/libtommath/etc/2kprime.c b/libtommath/etc/2kprime.c deleted file mode 100644 index 67a2777..0000000 --- a/libtommath/etc/2kprime.c +++ /dev/null @@ -1,75 +0,0 @@ -/* Makes safe primes of a 2k nature */ -#include -#include - -int sizes[] = {256, 512, 768, 1024, 1536, 2048, 3072, 4096}; - -int main(void) -{ - char buf[2000]; - int x, y; - mp_int q, p; - FILE *out; - clock_t t1; - mp_digit z; - - mp_init_multi(&q, &p, NULL); - - out = fopen("2kprime.1", "w"); - for (x = 0; x < (int)(sizeof(sizes) / sizeof(sizes[0])); x++) { - top: - mp_2expt(&q, sizes[x]); - mp_add_d(&q, 3, &q); - z = -3; - - t1 = clock(); - for(;;) { - mp_sub_d(&q, 4, &q); - z += 4; - - if (z > MP_MASK) { - printf("No primes of size %d found\n", sizes[x]); - break; - } - - if (clock() - t1 > CLOCKS_PER_SEC) { - printf("."); fflush(stdout); -// sleep((clock() - t1 + CLOCKS_PER_SEC/2)/CLOCKS_PER_SEC); - t1 = clock(); - } - - /* quick test on q */ - mp_prime_is_prime(&q, 1, &y); - if (y == 0) { - continue; - } - - /* find (q-1)/2 */ - mp_sub_d(&q, 1, &p); - mp_div_2(&p, &p); - mp_prime_is_prime(&p, 3, &y); - if (y == 0) { - continue; - } - - /* test on q */ - mp_prime_is_prime(&q, 3, &y); - if (y == 0) { - continue; - } - - break; - } - - if (y == 0) { - ++sizes[x]; - goto top; - } - - mp_toradix(&q, buf, 10); - printf("\n\n%d-bits (k = %lu) = %s\n", sizes[x], z, buf); - fprintf(out, "%d-bits (k = %lu) = %s\n", sizes[x], z, buf); fflush(out); - } - - return 0; -} diff --git a/libtommath/etc/drprime.c b/libtommath/etc/drprime.c deleted file mode 100644 index 0d0fdb9..0000000 --- a/libtommath/etc/drprime.c +++ /dev/null @@ -1,59 +0,0 @@ -/* Makes safe primes of a DR nature */ -#include - -int sizes[] = { 1+256/DIGIT_BIT, 1+512/DIGIT_BIT, 1+768/DIGIT_BIT, 1+1024/DIGIT_BIT, 1+2048/DIGIT_BIT, 1+4096/DIGIT_BIT }; -int main(void) -{ - int res, x, y; - char buf[4096]; - FILE *out; - mp_int a, b; - - mp_init(&a); - mp_init(&b); - - out = fopen("drprimes.txt", "w"); - for (x = 0; x < (int)(sizeof(sizes)/sizeof(sizes[0])); x++) { - top: - printf("Seeking a %d-bit safe prime\n", sizes[x] * DIGIT_BIT); - mp_grow(&a, sizes[x]); - mp_zero(&a); - for (y = 1; y < sizes[x]; y++) { - a.dp[y] = MP_MASK; - } - - /* make a DR modulus */ - a.dp[0] = -1; - a.used = sizes[x]; - - /* now loop */ - res = 0; - for (;;) { - a.dp[0] += 4; - if (a.dp[0] >= MP_MASK) break; - mp_prime_is_prime(&a, 1, &res); - if (res == 0) continue; - printf("."); fflush(stdout); - mp_sub_d(&a, 1, &b); - mp_div_2(&b, &b); - mp_prime_is_prime(&b, 3, &res); - if (res == 0) continue; - mp_prime_is_prime(&a, 3, &res); - if (res == 1) break; - } - - if (res != 1) { - printf("Error not DR modulus\n"); sizes[x] += 1; goto top; - } else { - mp_toradix(&a, buf, 10); - printf("\n\np == %s\n\n", buf); - fprintf(out, "%d-bit prime:\np == %s\n\n", mp_count_bits(&a), buf); fflush(out); - } - } - fclose(out); - - mp_clear(&a); - mp_clear(&b); - - return 0; -} diff --git a/libtommath/etc/drprimes.28 b/libtommath/etc/drprimes.28 deleted file mode 100644 index 9d438ad..0000000 --- a/libtommath/etc/drprimes.28 +++ /dev/null @@ -1,25 +0,0 @@ -DR safe primes for 28-bit digits. - -224-bit prime: -p == 26959946667150639794667015087019630673637144422540572481103341844143 - -532-bit prime: -p == 14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203368691747 - -784-bit prime: -p == 101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411688900243039 - -1036-bit prime: -p == 736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140821798437127 - -1540-bit prime: -p == 38564998830736521417281865696453025806593491967131023221754800625044118265468851210705360385717536794615180260494208076605798671660719333199513807806252394423283413430106003596332513246682903994829528690198205120921557533726473585751382193953592127439965050261476810842071573684505878854588706623484573925925903505747545471088867712185004135201289273405614415899438276535626346098904241020877974002916168099951885406379295536200413493190419727789712076165162175783 - -2072-bit prime: -p == 542189391331696172661670440619180536749994166415993334151601745392193484590296600979602378676624808129613777993466242203025054573692562689251250471628358318743978285860720148446448885701001277560572526947619392551574490839286458454994488665744991822837769918095117129546414124448777033941223565831420390846864429504774477949153794689948747680362212954278693335653935890352619041936727463717926744868338358149568368643403037768649616778526013610493696186055899318268339432671541328195724261329606699831016666359440874843103020666106568222401047720269951530296879490444224546654729111504346660859907296364097126834834235287147 - -3080-bit prime: -p == 1487259134814709264092032648525971038895865645148901180585340454985524155135260217788758027400478312256339496385275012465661575576202252063145698732079880294664220579764848767704076761853197216563262660046602703973050798218246170835962005598561669706844469447435461092542265792444947706769615695252256130901271870341005768912974433684521436211263358097522726462083917939091760026658925757076733484173202927141441492573799914240222628795405623953109131594523623353044898339481494120112723445689647986475279242446083151413667587008191682564376412347964146113898565886683139407005941383669325997475076910488086663256335689181157957571445067490187939553165903773554290260531009121879044170766615232300936675369451260747671432073394867530820527479172464106442450727640226503746586340279816318821395210726268291535648506190714616083163403189943334431056876038286530365757187367147446004855912033137386225053275419626102417236133948503 - -4116-bit prime: -p == 1095121115716677802856811290392395128588168592409109494900178008967955253005183831872715423151551999734857184538199864469605657805519106717529655044054833197687459782636297255219742994736751541815269727940751860670268774903340296040006114013971309257028332849679096824800250742691718610670812374272414086863715763724622797509437062518082383056050144624962776302147890521249477060215148275163688301275847155316042279405557632639366066847442861422164832655874655824221577849928863023018366835675399949740429332468186340518172487073360822220449055340582568461568645259954873303616953776393853174845132081121976327462740354930744487429617202585015510744298530101547706821590188733515880733527449780963163909830077616357506845523215289297624086914545378511082534229620116563260168494523906566709418166011112754529766183554579321224940951177394088465596712620076240067370589036924024728375076210477267488679008016579588696191194060127319035195370137160936882402244399699172017835144537488486396906144217720028992863941288217185353914991583400421682751000603596655790990815525126154394344641336397793791497068253936771017031980867706707490224041075826337383538651825493679503771934836094655802776331664261631740148281763487765852746577808019633679 diff --git a/libtommath/etc/drprimes.txt b/libtommath/etc/drprimes.txt deleted file mode 100644 index 7c97f67..0000000 --- a/libtommath/etc/drprimes.txt +++ /dev/null @@ -1,9 +0,0 @@ -300-bit prime: -p == 2037035976334486086268445688409378161051468393665936250636140449354381298610415201576637819 - -540-bit prime: -p == 3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206810991770626477344739 - -780-bit prime: -p == 6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003655947791725966271167 - diff --git a/libtommath/etc/makefile b/libtommath/etc/makefile deleted file mode 100644 index 99154d8..0000000 --- a/libtommath/etc/makefile +++ /dev/null @@ -1,50 +0,0 @@ -CFLAGS += -Wall -W -Wshadow -O3 -fomit-frame-pointer -funroll-loops -I../ - -# default lib name (requires install with root) -# LIBNAME=-ltommath - -# libname when you can't install the lib with install -LIBNAME=../libtommath.a - -#provable primes -pprime: pprime.o - $(CC) pprime.o $(LIBNAME) -o pprime - -# portable [well requires clock()] tuning app -tune: tune.o - $(CC) tune.o $(LIBNAME) -o tune - -# same app but using RDTSC for higher precision [requires 80586+], coff based gcc installs [e.g. ming, cygwin, djgpp] -tune86: tune.c - nasm -f coff timer.asm - $(CC) -DX86_TIMER $(CFLAGS) tune.c timer.o $(LIBNAME) -o tune86 - -# for cygwin -tune86c: tune.c - nasm -f gnuwin32 timer.asm - $(CC) -DX86_TIMER $(CFLAGS) tune.c timer.o $(LIBNAME) -o tune86 - -#make tune86 for linux or any ELF format -tune86l: tune.c - nasm -f elf -DUSE_ELF timer.asm - $(CC) -DX86_TIMER $(CFLAGS) tune.c timer.o $(LIBNAME) -o tune86l - -# spits out mersenne primes -mersenne: mersenne.o - $(CC) mersenne.o $(LIBNAME) -o mersenne - -# fines DR safe primes for the given config -drprime: drprime.o - $(CC) drprime.o $(LIBNAME) -o drprime - -# fines 2k safe primes for the given config -2kprime: 2kprime.o - $(CC) 2kprime.o $(LIBNAME) -o 2kprime - -mont: mont.o - $(CC) mont.o $(LIBNAME) -o mont - - -clean: - rm -f *.log *.o *.obj *.exe pprime tune mersenne drprime tune86 tune86l mont 2kprime pprime.dat \ - *.da *.dyn *.dpi *~ diff --git a/libtommath/etc/makefile.icc b/libtommath/etc/makefile.icc deleted file mode 100644 index 8a1ffff..0000000 --- a/libtommath/etc/makefile.icc +++ /dev/null @@ -1,67 +0,0 @@ -CC = icc - -CFLAGS += -I../ - -# optimize for SPEED -# -# -mcpu= can be pentium, pentiumpro (covers PII through PIII) or pentium4 -# -ax? specifies make code specifically for ? but compatible with IA-32 -# -x? specifies compile solely for ? [not specifically IA-32 compatible] -# -# where ? is -# K - PIII -# W - first P4 [Williamette] -# N - P4 Northwood -# P - P4 Prescott -# B - Blend of P4 and PM [mobile] -# -# Default to just generic max opts -CFLAGS += -O3 -xP -ip - -# default lib name (requires install with root) -# LIBNAME=-ltommath - -# libname when you can't install the lib with install -LIBNAME=../libtommath.a - -#provable primes -pprime: pprime.o - $(CC) pprime.o $(LIBNAME) -o pprime - -# portable [well requires clock()] tuning app -tune: tune.o - $(CC) tune.o $(LIBNAME) -o tune - -# same app but using RDTSC for higher precision [requires 80586+], coff based gcc installs [e.g. ming, cygwin, djgpp] -tune86: tune.c - nasm -f coff timer.asm - $(CC) -DX86_TIMER $(CFLAGS) tune.c timer.o $(LIBNAME) -o tune86 - -# for cygwin -tune86c: tune.c - nasm -f gnuwin32 timer.asm - $(CC) -DX86_TIMER $(CFLAGS) tune.c timer.o $(LIBNAME) -o tune86 - -#make tune86 for linux or any ELF format -tune86l: tune.c - nasm -f elf -DUSE_ELF timer.asm - $(CC) -DX86_TIMER $(CFLAGS) tune.c timer.o $(LIBNAME) -o tune86l - -# spits out mersenne primes -mersenne: mersenne.o - $(CC) mersenne.o $(LIBNAME) -o mersenne - -# fines DR safe primes for the given config -drprime: drprime.o - $(CC) drprime.o $(LIBNAME) -o drprime - -# fines 2k safe primes for the given config -2kprime: 2kprime.o - $(CC) 2kprime.o $(LIBNAME) -o 2kprime - -mont: mont.o - $(CC) mont.o $(LIBNAME) -o mont - - -clean: - rm -f *.log *.o *.obj *.exe pprime tune mersenne drprime tune86 tune86l mont 2kprime pprime.dat *.il diff --git a/libtommath/etc/makefile.msvc b/libtommath/etc/makefile.msvc deleted file mode 100644 index 2833372..0000000 --- a/libtommath/etc/makefile.msvc +++ /dev/null @@ -1,23 +0,0 @@ -#MSVC Makefile -# -#Tom St Denis - -CFLAGS = /I../ /Ox /DWIN32 /W3 - -pprime: pprime.obj - cl pprime.obj ../tommath.lib - -mersenne: mersenne.obj - cl mersenne.obj ../tommath.lib - -tune: tune.obj - cl tune.obj ../tommath.lib - -mont: mont.obj - cl mont.obj ../tommath.lib - -drprime: drprime.obj - cl drprime.obj ../tommath.lib - -2kprime: 2kprime.obj - cl 2kprime.obj ../tommath.lib diff --git a/libtommath/etc/mersenne.c b/libtommath/etc/mersenne.c deleted file mode 100644 index 28ac834..0000000 --- a/libtommath/etc/mersenne.c +++ /dev/null @@ -1,140 +0,0 @@ -/* Finds Mersenne primes using the Lucas-Lehmer test - * - * Tom St Denis, tomstdenis@gmail.com - */ -#include -#include - -int -is_mersenne (long s, int *pp) -{ - mp_int n, u; - int res, k; - - *pp = 0; - - if ((res = mp_init (&n)) != MP_OKAY) { - return res; - } - - if ((res = mp_init (&u)) != MP_OKAY) { - goto LBL_N; - } - - /* n = 2^s - 1 */ - if ((res = mp_2expt(&n, s)) != MP_OKAY) { - goto LBL_MU; - } - if ((res = mp_sub_d (&n, 1, &n)) != MP_OKAY) { - goto LBL_MU; - } - - /* set u=4 */ - mp_set (&u, 4); - - /* for k=1 to s-2 do */ - for (k = 1; k <= s - 2; k++) { - /* u = u^2 - 2 mod n */ - if ((res = mp_sqr (&u, &u)) != MP_OKAY) { - goto LBL_MU; - } - if ((res = mp_sub_d (&u, 2, &u)) != MP_OKAY) { - goto LBL_MU; - } - - /* make sure u is positive */ - while (u.sign == MP_NEG) { - if ((res = mp_add (&u, &n, &u)) != MP_OKAY) { - goto LBL_MU; - } - } - - /* reduce */ - if ((res = mp_reduce_2k (&u, &n, 1)) != MP_OKAY) { - goto LBL_MU; - } - } - - /* if u == 0 then its prime */ - if (mp_iszero (&u) == 1) { - mp_prime_is_prime(&n, 8, pp); - if (*pp != 1) printf("FAILURE\n"); - } - - res = MP_OKAY; -LBL_MU:mp_clear (&u); -LBL_N:mp_clear (&n); - return res; -} - -/* square root of a long < 65536 */ -long -i_sqrt (long x) -{ - long x1, x2; - - x2 = 16; - do { - x1 = x2; - x2 = x1 - ((x1 * x1) - x) / (2 * x1); - } while (x1 != x2); - - if (x1 * x1 > x) { - --x1; - } - - return x1; -} - -/* is the long prime by brute force */ -int -isprime (long k) -{ - long y, z; - - y = i_sqrt (k); - for (z = 2; z <= y; z++) { - if ((k % z) == 0) - return 0; - } - return 1; -} - - -int -main (void) -{ - int pp; - long k; - clock_t tt; - - k = 3; - - for (;;) { - /* start time */ - tt = clock (); - - /* test if 2^k - 1 is prime */ - if (is_mersenne (k, &pp) != MP_OKAY) { - printf ("Whoa error\n"); - return -1; - } - - if (pp == 1) { - /* count time */ - tt = clock () - tt; - - /* display if prime */ - printf ("2^%-5ld - 1 is prime, test took %ld ticks\n", k, tt); - } - - /* goto next odd exponent */ - k += 2; - - /* but make sure its prime */ - while (isprime (k) == 0) { - k += 2; - } - } - return 0; -} diff --git a/libtommath/etc/mont.c b/libtommath/etc/mont.c deleted file mode 100644 index 7839675..0000000 --- a/libtommath/etc/mont.c +++ /dev/null @@ -1,41 +0,0 @@ -/* tests the montgomery routines */ -#include - -int main(void) -{ - mp_int modulus, R, p, pp; - mp_digit mp; - long x, y; - - srand(time(NULL)); - mp_init_multi(&modulus, &R, &p, &pp, NULL); - - /* loop through various sizes */ - for (x = 4; x < 256; x++) { - printf("DIGITS == %3ld...", x); fflush(stdout); - - /* make up the odd modulus */ - mp_rand(&modulus, x); - modulus.dp[0] |= 1; - - /* now find the R value */ - mp_montgomery_calc_normalization(&R, &modulus); - mp_montgomery_setup(&modulus, &mp); - - /* now run through a bunch tests */ - for (y = 0; y < 1000; y++) { - mp_rand(&p, x/2); /* p = random */ - mp_mul(&p, &R, &pp); /* pp = R * p */ - mp_montgomery_reduce(&pp, &modulus, mp); - - /* should be equal to p */ - if (mp_cmp(&pp, &p) != MP_EQ) { - printf("FAILURE!\n"); - exit(-1); - } - } - printf("PASSED\n"); - } - - return 0; -} diff --git a/libtommath/etc/pprime.c b/libtommath/etc/pprime.c deleted file mode 100644 index 955f19e..0000000 --- a/libtommath/etc/pprime.c +++ /dev/null @@ -1,396 +0,0 @@ -/* Generates provable primes - * - * See http://gmail.com:8080/papers/pp.pdf for more info. - * - * Tom St Denis, tomstdenis@gmail.com, http://tom.gmail.com - */ -#include -#include "tommath.h" - -int n_prime; -FILE *primes; - -/* fast square root */ -static mp_digit -i_sqrt (mp_word x) -{ - mp_word x1, x2; - - x2 = x; - do { - x1 = x2; - x2 = x1 - ((x1 * x1) - x) / (2 * x1); - } while (x1 != x2); - - if (x1 * x1 > x) { - --x1; - } - - return x1; -} - - -/* generates a prime digit */ -static void gen_prime (void) -{ - mp_digit r, x, y, next; - FILE *out; - - out = fopen("pprime.dat", "wb"); - - /* write first set of primes */ - r = 3; fwrite(&r, 1, sizeof(mp_digit), out); - r = 5; fwrite(&r, 1, sizeof(mp_digit), out); - r = 7; fwrite(&r, 1, sizeof(mp_digit), out); - r = 11; fwrite(&r, 1, sizeof(mp_digit), out); - r = 13; fwrite(&r, 1, sizeof(mp_digit), out); - r = 17; fwrite(&r, 1, sizeof(mp_digit), out); - r = 19; fwrite(&r, 1, sizeof(mp_digit), out); - r = 23; fwrite(&r, 1, sizeof(mp_digit), out); - r = 29; fwrite(&r, 1, sizeof(mp_digit), out); - r = 31; fwrite(&r, 1, sizeof(mp_digit), out); - - /* get square root, since if 'r' is composite its factors must be < than this */ - y = i_sqrt (r); - next = (y + 1) * (y + 1); - - for (;;) { - do { - r += 2; /* next candidate */ - r &= MP_MASK; - if (r < 31) break; - - /* update sqrt ? */ - if (next <= r) { - ++y; - next = (y + 1) * (y + 1); - } - - /* loop if divisible by 3,5,7,11,13,17,19,23,29 */ - if ((r % 3) == 0) { - x = 0; - continue; - } - if ((r % 5) == 0) { - x = 0; - continue; - } - if ((r % 7) == 0) { - x = 0; - continue; - } - if ((r % 11) == 0) { - x = 0; - continue; - } - if ((r % 13) == 0) { - x = 0; - continue; - } - if ((r % 17) == 0) { - x = 0; - continue; - } - if ((r % 19) == 0) { - x = 0; - continue; - } - if ((r % 23) == 0) { - x = 0; - continue; - } - if ((r % 29) == 0) { - x = 0; - continue; - } - - /* now check if r is divisible by x + k={1,7,11,13,17,19,23,29} */ - for (x = 30; x <= y; x += 30) { - if ((r % (x + 1)) == 0) { - x = 0; - break; - } - if ((r % (x + 7)) == 0) { - x = 0; - break; - } - if ((r % (x + 11)) == 0) { - x = 0; - break; - } - if ((r % (x + 13)) == 0) { - x = 0; - break; - } - if ((r % (x + 17)) == 0) { - x = 0; - break; - } - if ((r % (x + 19)) == 0) { - x = 0; - break; - } - if ((r % (x + 23)) == 0) { - x = 0; - break; - } - if ((r % (x + 29)) == 0) { - x = 0; - break; - } - } - } while (x == 0); - if (r > 31) { fwrite(&r, 1, sizeof(mp_digit), out); printf("%9d\r", r); fflush(stdout); } - if (r < 31) break; - } - - fclose(out); -} - -void load_tab(void) -{ - primes = fopen("pprime.dat", "rb"); - if (primes == NULL) { - gen_prime(); - primes = fopen("pprime.dat", "rb"); - } - fseek(primes, 0, SEEK_END); - n_prime = ftell(primes) / sizeof(mp_digit); -} - -mp_digit prime_digit(void) -{ - int n; - mp_digit d; - - n = abs(rand()) % n_prime; - fseek(primes, n * sizeof(mp_digit), SEEK_SET); - fread(&d, 1, sizeof(mp_digit), primes); - return d; -} - - -/* makes a prime of at least k bits */ -int -pprime (int k, int li, mp_int * p, mp_int * q) -{ - mp_int a, b, c, n, x, y, z, v; - int res, ii; - static const mp_digit bases[] = { 2, 3, 5, 7, 11, 13, 17, 19 }; - - /* single digit ? */ - if (k <= (int) DIGIT_BIT) { - mp_set (p, prime_digit ()); - return MP_OKAY; - } - - if ((res = mp_init (&c)) != MP_OKAY) { - return res; - } - - if ((res = mp_init (&v)) != MP_OKAY) { - goto LBL_C; - } - - /* product of first 50 primes */ - if ((res = - mp_read_radix (&v, - "19078266889580195013601891820992757757219839668357012055907516904309700014933909014729740190", - 10)) != MP_OKAY) { - goto LBL_V; - } - - if ((res = mp_init (&a)) != MP_OKAY) { - goto LBL_V; - } - - /* set the prime */ - mp_set (&a, prime_digit ()); - - if ((res = mp_init (&b)) != MP_OKAY) { - goto LBL_A; - } - - if ((res = mp_init (&n)) != MP_OKAY) { - goto LBL_B; - } - - if ((res = mp_init (&x)) != MP_OKAY) { - goto LBL_N; - } - - if ((res = mp_init (&y)) != MP_OKAY) { - goto LBL_X; - } - - if ((res = mp_init (&z)) != MP_OKAY) { - goto LBL_Y; - } - - /* now loop making the single digit */ - while (mp_count_bits (&a) < k) { - fprintf (stderr, "prime has %4d bits left\r", k - mp_count_bits (&a)); - fflush (stderr); - top: - mp_set (&b, prime_digit ()); - - /* now compute z = a * b * 2 */ - if ((res = mp_mul (&a, &b, &z)) != MP_OKAY) { /* z = a * b */ - goto LBL_Z; - } - - if ((res = mp_copy (&z, &c)) != MP_OKAY) { /* c = a * b */ - goto LBL_Z; - } - - if ((res = mp_mul_2 (&z, &z)) != MP_OKAY) { /* z = 2 * a * b */ - goto LBL_Z; - } - - /* n = z + 1 */ - if ((res = mp_add_d (&z, 1, &n)) != MP_OKAY) { /* n = z + 1 */ - goto LBL_Z; - } - - /* check (n, v) == 1 */ - if ((res = mp_gcd (&n, &v, &y)) != MP_OKAY) { /* y = (n, v) */ - goto LBL_Z; - } - - if (mp_cmp_d (&y, 1) != MP_EQ) - goto top; - - /* now try base x=bases[ii] */ - for (ii = 0; ii < li; ii++) { - mp_set (&x, bases[ii]); - - /* compute x^a mod n */ - if ((res = mp_exptmod (&x, &a, &n, &y)) != MP_OKAY) { /* y = x^a mod n */ - goto LBL_Z; - } - - /* if y == 1 loop */ - if (mp_cmp_d (&y, 1) == MP_EQ) - continue; - - /* now x^2a mod n */ - if ((res = mp_sqrmod (&y, &n, &y)) != MP_OKAY) { /* y = x^2a mod n */ - goto LBL_Z; - } - - if (mp_cmp_d (&y, 1) == MP_EQ) - continue; - - /* compute x^b mod n */ - if ((res = mp_exptmod (&x, &b, &n, &y)) != MP_OKAY) { /* y = x^b mod n */ - goto LBL_Z; - } - - /* if y == 1 loop */ - if (mp_cmp_d (&y, 1) == MP_EQ) - continue; - - /* now x^2b mod n */ - if ((res = mp_sqrmod (&y, &n, &y)) != MP_OKAY) { /* y = x^2b mod n */ - goto LBL_Z; - } - - if (mp_cmp_d (&y, 1) == MP_EQ) - continue; - - /* compute x^c mod n == x^ab mod n */ - if ((res = mp_exptmod (&x, &c, &n, &y)) != MP_OKAY) { /* y = x^ab mod n */ - goto LBL_Z; - } - - /* if y == 1 loop */ - if (mp_cmp_d (&y, 1) == MP_EQ) - continue; - - /* now compute (x^c mod n)^2 */ - if ((res = mp_sqrmod (&y, &n, &y)) != MP_OKAY) { /* y = x^2ab mod n */ - goto LBL_Z; - } - - /* y should be 1 */ - if (mp_cmp_d (&y, 1) != MP_EQ) - continue; - break; - } - - /* no bases worked? */ - if (ii == li) - goto top; - -{ - char buf[4096]; - - mp_toradix(&n, buf, 10); - printf("Certificate of primality for:\n%s\n\n", buf); - mp_toradix(&a, buf, 10); - printf("A == \n%s\n\n", buf); - mp_toradix(&b, buf, 10); - printf("B == \n%s\n\nG == %d\n", buf, bases[ii]); - printf("----------------------------------------------------------------\n"); -} - - /* a = n */ - mp_copy (&n, &a); - } - - /* get q to be the order of the large prime subgroup */ - mp_sub_d (&n, 1, q); - mp_div_2 (q, q); - mp_div (q, &b, q, NULL); - - mp_exch (&n, p); - - res = MP_OKAY; -LBL_Z:mp_clear (&z); -LBL_Y:mp_clear (&y); -LBL_X:mp_clear (&x); -LBL_N:mp_clear (&n); -LBL_B:mp_clear (&b); -LBL_A:mp_clear (&a); -LBL_V:mp_clear (&v); -LBL_C:mp_clear (&c); - return res; -} - - -int -main (void) -{ - mp_int p, q; - char buf[4096]; - int k, li; - clock_t t1; - - srand (time (NULL)); - load_tab(); - - printf ("Enter # of bits: \n"); - fgets (buf, sizeof (buf), stdin); - sscanf (buf, "%d", &k); - - printf ("Enter number of bases to try (1 to 8):\n"); - fgets (buf, sizeof (buf), stdin); - sscanf (buf, "%d", &li); - - - mp_init (&p); - mp_init (&q); - - t1 = clock (); - pprime (k, li, &p, &q); - t1 = clock () - t1; - - printf ("\n\nTook %ld ticks, %d bits\n", t1, mp_count_bits (&p)); - - mp_toradix (&p, buf, 10); - printf ("P == %s\n", buf); - mp_toradix (&q, buf, 10); - printf ("Q == %s\n", buf); - - return 0; -} diff --git a/libtommath/etc/prime.1024 b/libtommath/etc/prime.1024 deleted file mode 100644 index 5636e2d..0000000 --- a/libtommath/etc/prime.1024 +++ /dev/null @@ -1,414 +0,0 @@ -Enter # of bits: -Enter number of bases to try (1 to 8): -Certificate of primality for: -36360080703173363 - -A == -89963569 - -B == -202082249 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -4851595597739856136987139 - -A == -36360080703173363 - -B == -66715963 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -19550639734462621430325731591027 - -A == -4851595597739856136987139 - -B == -2014867 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -10409036141344317165691858509923818734539 - -A == -19550639734462621430325731591027 - -B == -266207047 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -1049829549988285012736475602118094726647504414203 - -A == -10409036141344317165691858509923818734539 - -B == -50428759 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -77194737385528288387712399596835459931920358844586615003 - -A == -1049829549988285012736475602118094726647504414203 - -B == -36765367 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -35663756695365208574443215955488689578374232732893628896541201763 - -A == -77194737385528288387712399596835459931920358844586615003 - -B == -230998627 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -16711831463502165169495622246023119698415848120292671294127567620396469803 - -A == -35663756695365208574443215955488689578374232732893628896541201763 - -B == -234297127 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -6163534781560285962890718925972249753147470953579266394395432475622345597103528739 - -A == -16711831463502165169495622246023119698415848120292671294127567620396469803 - -B == -184406323 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -814258256205243497704094951432575867360065658372158511036259934640748088306764553488803787 - -A == -6163534781560285962890718925972249753147470953579266394395432475622345597103528739 - -B == -66054487 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -176469695533271657902814176811660357049007467856432383037590673407330246967781451723764079581998187 - -A == -814258256205243497704094951432575867360065658372158511036259934640748088306764553488803787 - -B == -108362239 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -44924492859445516541759485198544012102424796403707253610035148063863073596051272171194806669756971406400419 - -A == -176469695533271657902814176811660357049007467856432383037590673407330246967781451723764079581998187 - -B == -127286707 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -20600996927219343383225424320134474929609459588323857796871086845924186191561749519858600696159932468024710985371059 - -A == -44924492859445516541759485198544012102424796403707253610035148063863073596051272171194806669756971406400419 - -B == -229284691 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -6295696427695493110141186605837397185848992307978456138112526915330347715236378041486547994708748840844217371233735072572979 - -A == -20600996927219343383225424320134474929609459588323857796871086845924186191561749519858600696159932468024710985371059 - -B == -152800771 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -3104984078042317488749073016454213579257792635142218294052134804187631661145261015102617582090263808696699966840735333252107678792123 - -A == -6295696427695493110141186605837397185848992307978456138112526915330347715236378041486547994708748840844217371233735072572979 - -B == -246595759 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -26405175827665701256325699315126705508919255051121452292124404943796947287968603975320562847910946802396632302209435206627913466015741799499 - -A == -3104984078042317488749073016454213579257792635142218294052134804187631661145261015102617582090263808696699966840735333252107678792123 - -B == -4252063 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -11122146237908413610034600609460545703591095894418599759742741406628055069007082998134905595800236452010905900391505454890446585211975124558601770163 - -A == -26405175827665701256325699315126705508919255051121452292124404943796947287968603975320562847910946802396632302209435206627913466015741799499 - -B == -210605419 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -1649861642047798890580354082088712649911849362201343649289384923147797960364736011515757482030049342943790127685185806092659832129486307035500638595572396187 - -A == -11122146237908413610034600609460545703591095894418599759742741406628055069007082998134905595800236452010905900391505454890446585211975124558601770163 - -B == -74170111 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -857983367126266717607389719637086684134462613006415859877666235955788392464081914127715967940968197765042399904117392707518175220864852816390004264107201177394565363 - -A == -1649861642047798890580354082088712649911849362201343649289384923147797960364736011515757482030049342943790127685185806092659832129486307035500638595572396187 - -B == -260016763 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -175995909353623703257072120479340610010337144085688850745292031336724691277374210929188442230237711063783727092685448718515661641054886101716698390145283196296702450566161283 - -A == -857983367126266717607389719637086684134462613006415859877666235955788392464081914127715967940968197765042399904117392707518175220864852816390004264107201177394565363 - -B == -102563707 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -48486002551155667224487059713350447239190772068092630563272168418880661006593537218144160068395218642353495339720640699721703003648144463556291315694787862009052641640656933232794283 - -A == -175995909353623703257072120479340610010337144085688850745292031336724691277374210929188442230237711063783727092685448718515661641054886101716698390145283196296702450566161283 - -B == -137747527 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -13156468011529105025061495011938518171328604045212410096476697450506055664012861932372156505805788068791146986282263016790631108386790291275939575123375304599622623328517354163964228279867403 - -A == -48486002551155667224487059713350447239190772068092630563272168418880661006593537218144160068395218642353495339720640699721703003648144463556291315694787862009052641640656933232794283 - -B == -135672847 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -6355194692790533601105154341731997464407930009404822926832136060319955058388106456084549316415200519472481147942263916585428906582726749131479465958107142228236909665306781538860053107680830113869123 - -A == -13156468011529105025061495011938518171328604045212410096476697450506055664012861932372156505805788068791146986282263016790631108386790291275939575123375304599622623328517354163964228279867403 - -B == -241523587 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -3157116676535430302794438027544146642863331358530722860333745617571010460905857862561870488000265751138954271040017454405707755458702044884023184574412221802502351503929935224995314581932097706874819348858083 - -A == -6355194692790533601105154341731997464407930009404822926832136060319955058388106456084549316415200519472481147942263916585428906582726749131479465958107142228236909665306781538860053107680830113869123 - -B == -248388667 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -390533129219992506725320633489467713907837370444962163378727819939092929448752905310115311180032249230394348337568973177802874166228132778126338883671958897238722734394783244237133367055422297736215754829839364158067 - -A == -3157116676535430302794438027544146642863331358530722860333745617571010460905857862561870488000265751138954271040017454405707755458702044884023184574412221802502351503929935224995314581932097706874819348858083 - -B == -61849651 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -48583654555070224891047847050732516652910250240135992225139515777200432486685999462997073444468380434359929499498804723793106565291183220444221080449740542884172281158126259373095216435009661050109711341419005972852770440739 - -A == -390533129219992506725320633489467713907837370444962163378727819939092929448752905310115311180032249230394348337568973177802874166228132778126338883671958897238722734394783244237133367055422297736215754829839364158067 - -B == -62201707 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -25733035251905120039135866524384525138869748427727001128764704499071378939227862068500633813538831598776578372709963673670934388213622433800015759585470542686333039614931682098922935087822950084908715298627996115185849260703525317419 - -A == -48583654555070224891047847050732516652910250240135992225139515777200432486685999462997073444468380434359929499498804723793106565291183220444221080449740542884172281158126259373095216435009661050109711341419005972852770440739 - -B == -264832231 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -2804594464939948901906623499531073917980499195397462605359913717827014360538186518540781517129548650937632008683280555602633122170458773895504894807182664540529077836857897972175530148107545939211339044386106111633510166695386323426241809387 - -A == -25733035251905120039135866524384525138869748427727001128764704499071378939227862068500633813538831598776578372709963673670934388213622433800015759585470542686333039614931682098922935087822950084908715298627996115185849260703525317419 - -B == -54494047 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -738136612083433720096707308165797114449914259256979340471077690416567237592465306112484843530074782721390528773594351482384711900456440808251196845265132086486672447136822046628407467459921823150600138073268385534588238548865012638209515923513516547 - -A == -2804594464939948901906623499531073917980499195397462605359913717827014360538186518540781517129548650937632008683280555602633122170458773895504894807182664540529077836857897972175530148107545939211339044386106111633510166695386323426241809387 - -B == -131594179 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -392847529056126766528615419937165193421166694172790666626558750047057558168124866940509180171236517681470100877687445134633784815352076138790217228749332398026714192707447855731679485746120589851992221508292976900578299504461333767437280988393026452846013683 - -A == -738136612083433720096707308165797114449914259256979340471077690416567237592465306112484843530074782721390528773594351482384711900456440808251196845265132086486672447136822046628407467459921823150600138073268385534588238548865012638209515923513516547 - -B == -266107603 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -168459393231883505975876919268398655632763956627405508859662408056221544310200546265681845397346956580604208064328814319465940958080244889692368602591598503944015835190587740756859842792554282496742843600573336023639256008687581291233481455395123454655488735304365627 - -A == -392847529056126766528615419937165193421166694172790666626558750047057558168124866940509180171236517681470100877687445134633784815352076138790217228749332398026714192707447855731679485746120589851992221508292976900578299504461333767437280988393026452846013683 - -B == -214408111 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -14865774288636941404884923981945833072113667565310054952177860608355263252462409554658728941191929400198053290113492910272458441655458514080123870132092365833472436407455910185221474386718838138135065780840839893113912689594815485706154461164071775481134379794909690501684643 - -A == -168459393231883505975876919268398655632763956627405508859662408056221544310200546265681845397346956580604208064328814319465940958080244889692368602591598503944015835190587740756859842792554282496742843600573336023639256008687581291233481455395123454655488735304365627 - -B == -44122723 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -1213301773203241614897109856134894783021668292000023984098824423682568173639394290886185366993108292039068940333907505157813934962357206131450244004178619265868614859794316361031904412926604138893775068853175215502104744339658944443630407632290152772487455298652998368296998719996019 - -A == -14865774288636941404884923981945833072113667565310054952177860608355263252462409554658728941191929400198053290113492910272458441655458514080123870132092365833472436407455910185221474386718838138135065780840839893113912689594815485706154461164071775481134379794909690501684643 - -B == -40808563 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -186935245989515158127969129347464851990429060640910951266513740972248428651109062997368144722015290092846666943896556191257222521203647606911446635194198213436423080005867489516421559330500722264446765608763224572386410155413161172707802334865729654109050873820610813855041667633843601286843 - -A == -1213301773203241614897109856134894783021668292000023984098824423682568173639394290886185366993108292039068940333907505157813934962357206131450244004178619265868614859794316361031904412926604138893775068853175215502104744339658944443630407632290152772487455298652998368296998719996019 - -B == -77035759 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -83142661079751490510739960019112406284111408348732592580459037404394946037094409915127399165633756159385609671956087845517678367844901424617866988187132480585966721962585586730693443536100138246516868613250009028187662080828012497191775172228832247706080044971423654632146928165751885302331924491683 - -A == -186935245989515158127969129347464851990429060640910951266513740972248428651109062997368144722015290092846666943896556191257222521203647606911446635194198213436423080005867489516421559330500722264446765608763224572386410155413161172707802334865729654109050873820610813855041667633843601286843 - -B == -222383587 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -3892354773803809855317742245039794448230625839512638747643814927766738642436392673485997449586432241626440927010641564064764336402368634186618250134234189066179771240232458249806850838490410473462391401438160528157981942499581634732706904411807195259620779379274017704050790865030808501633772117217899534443 - -A == -83142661079751490510739960019112406284111408348732592580459037404394946037094409915127399165633756159385609671956087845517678367844901424617866988187132480585966721962585586730693443536100138246516868613250009028187662080828012497191775172228832247706080044971423654632146928165751885302331924491683 - -B == -23407687 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -1663606652988091811284014366560171522582683318514519379924950390627250155440313691226744227787921928894551755219495501365555370027257568506349958010457682898612082048959464465369892842603765280317696116552850664773291371490339084156052244256635115997453399761029567033971998617303988376172539172702246575225837054723 - -A == -3892354773803809855317742245039794448230625839512638747643814927766738642436392673485997449586432241626440927010641564064764336402368634186618250134234189066179771240232458249806850838490410473462391401438160528157981942499581634732706904411807195259620779379274017704050790865030808501633772117217899534443 - -B == -213701827 - -G == 2 ----------------------------------------------------------------- - - -Took 33057 ticks, 1048 bits -P == 1663606652988091811284014366560171522582683318514519379924950390627250155440313691226744227787921928894551755219495501365555370027257568506349958010457682898612082048959464465369892842603765280317696116552850664773291371490339084156052244256635115997453399761029567033971998617303988376172539172702246575225837054723 -Q == 3892354773803809855317742245039794448230625839512638747643814927766738642436392673485997449586432241626440927010641564064764336402368634186618250134234189066179771240232458249806850838490410473462391401438160528157981942499581634732706904411807195259620779379274017704050790865030808501633772117217899534443 diff --git a/libtommath/etc/prime.512 b/libtommath/etc/prime.512 deleted file mode 100644 index cb6ec30..0000000 --- a/libtommath/etc/prime.512 +++ /dev/null @@ -1,205 +0,0 @@ -Enter # of bits: -Enter number of bases to try (1 to 8): -Certificate of primality for: -85933926807634727 - -A == -253758023 - -B == -169322581 - -G == 5 ----------------------------------------------------------------- -Certificate of primality for: -23930198825086241462113799 - -A == -85933926807634727 - -B == -139236037 - -G == 11 ----------------------------------------------------------------- -Certificate of primality for: -6401844647261612602378676572510019 - -A == -23930198825086241462113799 - -B == -133760791 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -269731366027728777712034888684015329354259 - -A == -6401844647261612602378676572510019 - -B == -21066691 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -37942338209025571690075025099189467992329684223707 - -A == -269731366027728777712034888684015329354259 - -B == -70333567 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -15306904714258982484473490774101705363308327436988160248323 - -A == -37942338209025571690075025099189467992329684223707 - -B == -201712723 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -1616744757018513392810355191503853040357155275733333124624513530099 - -A == -15306904714258982484473490774101705363308327436988160248323 - -B == -52810963 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -464222094814208047161771036072622485188658077940154689939306386289983787983 - -A == -1616744757018513392810355191503853040357155275733333124624513530099 - -B == -143566909 - -G == 5 ----------------------------------------------------------------- -Certificate of primality for: -187429931674053784626487560729643601208757374994177258429930699354770049369025096447 - -A == -464222094814208047161771036072622485188658077940154689939306386289983787983 - -B == -201875281 - -G == 5 ----------------------------------------------------------------- -Certificate of primality for: -100579220846502621074093727119851331775052664444339632682598589456666938521976625305832917563 - -A == -187429931674053784626487560729643601208757374994177258429930699354770049369025096447 - -B == -268311523 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -1173616081309758475197022137833792133815753368965945885089720153370737965497134878651384030219765163 - -A == -100579220846502621074093727119851331775052664444339632682598589456666938521976625305832917563 - -B == -5834287 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -191456913489905913185935197655672585713573070349044195411728114905691721186574907738081340754373032735283623 - -A == -1173616081309758475197022137833792133815753368965945885089720153370737965497134878651384030219765163 - -B == -81567097 - -G == 5 ----------------------------------------------------------------- -Certificate of primality for: -57856530489201750164178576399448868489243874083056587683743345599898489554401618943240901541005080049321706789987519 - -A == -191456913489905913185935197655672585713573070349044195411728114905691721186574907738081340754373032735283623 - -B == -151095433 - -G == 7 ----------------------------------------------------------------- -Certificate of primality for: -13790529750452576698109671710773784949185621244122040804792403407272729038377767162233653248852099545134831722512085881814803 - -A == -57856530489201750164178576399448868489243874083056587683743345599898489554401618943240901541005080049321706789987519 - -B == -119178679 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -7075985989000817742677547821106534174334812111605018857703825637170140040509067704269696198231266351631132464035671858077052876058979 - -A == -13790529750452576698109671710773784949185621244122040804792403407272729038377767162233653248852099545134831722512085881814803 - -B == -256552363 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -1227273006232588072907488910282307435921226646895131225407452056677899411162892829564455154080310937471747140942360789623819327234258162420463 - -A == -7075985989000817742677547821106534174334812111605018857703825637170140040509067704269696198231266351631132464035671858077052876058979 - -B == -86720989 - -G == 5 ----------------------------------------------------------------- -Certificate of primality for: -446764896913554613686067036908702877942872355053329937790398156069936255759889884246832779737114032666318220500106499161852193765380831330106375235763 - -A == -1227273006232588072907488910282307435921226646895131225407452056677899411162892829564455154080310937471747140942360789623819327234258162420463 - -B == -182015287 - -G == 2 ----------------------------------------------------------------- -Certificate of primality for: -5290203010849586596974953717018896543907195901082056939587768479377028575911127944611236020459652034082251335583308070846379514569838984811187823420951275243 - -A == -446764896913554613686067036908702877942872355053329937790398156069936255759889884246832779737114032666318220500106499161852193765380831330106375235763 - -B == -5920567 - -G == 2 ----------------------------------------------------------------- - - -Took 3454 ticks, 521 bits -P == 5290203010849586596974953717018896543907195901082056939587768479377028575911127944611236020459652034082251335583308070846379514569838984811187823420951275243 -Q == 446764896913554613686067036908702877942872355053329937790398156069936255759889884246832779737114032666318220500106499161852193765380831330106375235763 diff --git a/libtommath/etc/timer.asm b/libtommath/etc/timer.asm deleted file mode 100644 index 326a947..0000000 --- a/libtommath/etc/timer.asm +++ /dev/null @@ -1,37 +0,0 @@ -; x86 timer in NASM -; -; Tom St Denis, tomstdenis@iahu.ca -[bits 32] -[section .data] -time dd 0, 0 - -[section .text] - -%ifdef USE_ELF -[global t_start] -t_start: -%else -[global _t_start] -_t_start: -%endif - push edx - push eax - rdtsc - mov [time+0],edx - mov [time+4],eax - pop eax - pop edx - ret - -%ifdef USE_ELF -[global t_read] -t_read: -%else -[global _t_read] -_t_read: -%endif - rdtsc - sub eax,[time+4] - sbb edx,[time+0] - ret - \ No newline at end of file diff --git a/libtommath/etc/tune.c b/libtommath/etc/tune.c deleted file mode 100644 index acb146f..0000000 --- a/libtommath/etc/tune.c +++ /dev/null @@ -1,138 +0,0 @@ -/* Tune the Karatsuba parameters - * - * Tom St Denis, tomstdenis@gmail.com - */ -#include -#include - -/* how many times todo each size mult. Depends on your computer. For slow computers - * this can be low like 5 or 10. For fast [re: Athlon] should be 25 - 50 or so - */ -#define TIMES (1UL<<14UL) - -/* RDTSC from Scott Duplichan */ -static ulong64 TIMFUNC (void) - { - #if defined __GNUC__ - #if defined(__i386__) || defined(__x86_64__) - unsigned long long a; - __asm__ __volatile__ ("rdtsc\nmovl %%eax,%0\nmovl %%edx,4+%0\n"::"m"(a):"%eax","%edx"); - return a; - #else /* gcc-IA64 version */ - unsigned long result; - __asm__ __volatile__("mov %0=ar.itc" : "=r"(result) :: "memory"); - while (__builtin_expect ((int) result == -1, 0)) - __asm__ __volatile__("mov %0=ar.itc" : "=r"(result) :: "memory"); - return result; - #endif - - // Microsoft and Intel Windows compilers - #elif defined _M_IX86 - __asm rdtsc - #elif defined _M_AMD64 - return __rdtsc (); - #elif defined _M_IA64 - #if defined __INTEL_COMPILER - #include - #endif - return __getReg (3116); - #else - #error need rdtsc function for this build - #endif - } - - -#ifndef X86_TIMER - -/* generic ISO C timer */ -ulong64 LBL_T; -void t_start(void) { LBL_T = TIMFUNC(); } -ulong64 t_read(void) { return TIMFUNC() - LBL_T; } - -#else -extern void t_start(void); -extern ulong64 t_read(void); -#endif - -ulong64 time_mult(int size, int s) -{ - unsigned long x; - mp_int a, b, c; - ulong64 t1; - - mp_init (&a); - mp_init (&b); - mp_init (&c); - - mp_rand (&a, size); - mp_rand (&b, size); - - if (s == 1) { - KARATSUBA_MUL_CUTOFF = size; - } else { - KARATSUBA_MUL_CUTOFF = 100000; - } - - t_start(); - for (x = 0; x < TIMES; x++) { - mp_mul(&a,&b,&c); - } - t1 = t_read(); - mp_clear (&a); - mp_clear (&b); - mp_clear (&c); - return t1; -} - -ulong64 time_sqr(int size, int s) -{ - unsigned long x; - mp_int a, b; - ulong64 t1; - - mp_init (&a); - mp_init (&b); - - mp_rand (&a, size); - - if (s == 1) { - KARATSUBA_SQR_CUTOFF = size; - } else { - KARATSUBA_SQR_CUTOFF = 100000; - } - - t_start(); - for (x = 0; x < TIMES; x++) { - mp_sqr(&a,&b); - } - t1 = t_read(); - mp_clear (&a); - mp_clear (&b); - return t1; -} - -int -main (void) -{ - ulong64 t1, t2; - int x, y; - - for (x = 8; ; x += 2) { - t1 = time_mult(x, 0); - t2 = time_mult(x, 1); - printf("%d: %9llu %9llu, %9llu\n", x, t1, t2, t2 - t1); - if (t2 < t1) break; - } - y = x; - - for (x = 8; ; x += 2) { - t1 = time_sqr(x, 0); - t2 = time_sqr(x, 1); - printf("%d: %9llu %9llu, %9llu\n", x, t1, t2, t2 - t1); - if (t2 < t1) break; - } - printf("KARATSUBA_MUL_CUTOFF = %d\n", y); - printf("KARATSUBA_SQR_CUTOFF = %d\n", x); - - return 0; -} diff --git a/libtommath/logs/README b/libtommath/logs/README deleted file mode 100644 index 965e7c8..0000000 --- a/libtommath/logs/README +++ /dev/null @@ -1,13 +0,0 @@ -To use the pretty graphs you have to first build/run the ltmtest from the root directory of the package. -Todo this type - -make timing ; ltmtest - -in the root. It will run for a while [about ten minutes on most PCs] and produce a series of .log files in logs/. - -After doing that run "gnuplot graphs.dem" to make the PNGs. If you managed todo that all so far just open index.html to view -them all :-) - -Have fun - -Tom \ No newline at end of file diff --git a/libtommath/logs/add.log b/libtommath/logs/add.log deleted file mode 100644 index 43503ac..0000000 --- a/libtommath/logs/add.log +++ /dev/null @@ -1,16 +0,0 @@ -480 87 -960 111 -1440 135 -1920 159 -2400 200 -2880 224 -3360 248 -3840 272 -4320 296 -4800 320 -5280 344 -5760 368 -6240 392 -6720 416 -7200 440 -7680 464 diff --git a/libtommath/logs/addsub.png b/libtommath/logs/addsub.png deleted file mode 100644 index 441c7b2..0000000 Binary files a/libtommath/logs/addsub.png and /dev/null differ diff --git a/libtommath/logs/expt.log b/libtommath/logs/expt.log deleted file mode 100644 index 70932ab..0000000 --- a/libtommath/logs/expt.log +++ /dev/null @@ -1,7 +0,0 @@ -513 1435869 -769 3544970 -1025 7791638 -2049 46902238 -2561 85334899 -3073 141451412 -4097 308770310 diff --git a/libtommath/logs/expt.png b/libtommath/logs/expt.png deleted file mode 100644 index d779cc5..0000000 Binary files a/libtommath/logs/expt.png and /dev/null differ diff --git a/libtommath/logs/expt_2k.log b/libtommath/logs/expt_2k.log deleted file mode 100644 index 97d325f..0000000 --- a/libtommath/logs/expt_2k.log +++ /dev/null @@ -1,5 +0,0 @@ -607 2109225 -1279 10148314 -2203 34126877 -3217 82716424 -4253 161569606 diff --git a/libtommath/logs/expt_2kl.log b/libtommath/logs/expt_2kl.log deleted file mode 100644 index d9ad4be..0000000 --- a/libtommath/logs/expt_2kl.log +++ /dev/null @@ -1,4 +0,0 @@ -1024 7705271 -2048 34286851 -4096 165207491 -521 1618631 diff --git a/libtommath/logs/expt_dr.log b/libtommath/logs/expt_dr.log deleted file mode 100644 index c6bbe07..0000000 --- a/libtommath/logs/expt_dr.log +++ /dev/null @@ -1,7 +0,0 @@ -532 1928550 -784 3763908 -1036 7564221 -1540 16566059 -2072 32283784 -3080 79851565 -4116 157843530 diff --git a/libtommath/logs/graphs.dem b/libtommath/logs/graphs.dem deleted file mode 100644 index dfaf613..0000000 --- a/libtommath/logs/graphs.dem +++ /dev/null @@ -1,17 +0,0 @@ -set terminal png -set size 1.75 -set ylabel "Cycles per Operation" -set xlabel "Operand size (bits)" - -set output "addsub.png" -plot 'add.log' smooth bezier title "Addition", 'sub.log' smooth bezier title "Subtraction" - -set output "mult.png" -plot 'sqr.log' smooth bezier title "Squaring (without Karatsuba)", 'sqr_kara.log' smooth bezier title "Squaring (Karatsuba)", 'mult.log' smooth bezier title "Multiplication (without Karatsuba)", 'mult_kara.log' smooth bezier title "Multiplication (Karatsuba)" - -set output "expt.png" -plot 'expt.log' smooth bezier title "Exptmod (Montgomery)", 'expt_dr.log' smooth bezier title "Exptmod (Dimminished Radix)", 'expt_2k.log' smooth bezier title "Exptmod (2k Reduction)" - -set output "invmod.png" -plot 'invmod.log' smooth bezier title "Modular Inverse" - diff --git a/libtommath/logs/index.html b/libtommath/logs/index.html deleted file mode 100644 index 8c1ed9d..0000000 --- a/libtommath/logs/index.html +++ /dev/null @@ -1,24 +0,0 @@ - - -LibTomMath Log Plots - - - -

Addition and Subtraction

-
-
- -

Multipliers

-
-
- -

Exptmod

-
-
- -

Modular Inverse

-
-
- - - diff --git a/libtommath/logs/invmod.log b/libtommath/logs/invmod.log deleted file mode 100644 index e69de29..0000000 diff --git a/libtommath/logs/invmod.png b/libtommath/logs/invmod.png deleted file mode 100644 index 9dcd7d8..0000000 Binary files a/libtommath/logs/invmod.png and /dev/null differ diff --git a/libtommath/logs/mult.log b/libtommath/logs/mult.log deleted file mode 100644 index 33563fc..0000000 --- a/libtommath/logs/mult.log +++ /dev/null @@ -1,84 +0,0 @@ -271 555 -390 855 -508 1161 -631 1605 -749 2117 -871 2687 -991 3329 -1108 4084 -1231 4786 -1351 5624 -1470 6392 -1586 7364 -1710 8218 -1830 9255 -1951 10217 -2067 11461 -2191 12463 -2308 13677 -2430 14800 -2551 16232 -2671 17460 -2791 18899 -2902 20247 -3028 21902 -3151 23240 -3267 24927 -3391 26441 -3511 28277 -3631 29838 -3749 31751 -3869 33673 -3989 35431 -4111 37518 -4231 39426 -4349 41504 -4471 43567 -4591 45786 -4711 47876 -4831 50299 -4951 52427 -5071 54785 -5189 57241 -5307 59730 -5431 62194 -5551 64761 -5670 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a/libtommath/logs/sqr.log +++ /dev/null @@ -1,84 +0,0 @@ -265 562 -389 882 -509 1207 -631 1572 -750 1990 -859 2433 -991 2894 -1109 3555 -1230 4228 -1350 5018 -1471 5805 -1591 6579 -1709 7415 -1829 8329 -1949 9225 -2071 10139 -2188 11239 -2309 12178 -2431 13212 -2551 14294 -2671 15551 -2791 16512 -2911 17718 -3030 18876 -3150 20259 -3270 21374 -3391 22650 -3511 23948 -3631 25493 -3750 26756 -3870 28225 -3989 29705 -4110 31409 -4230 32834 -4351 34327 -4471 35818 -4591 37636 -4711 39228 -4830 40868 -4949 42393 -5070 44541 -5191 46269 -5310 48162 -5429 49728 -5548 51985 -5671 53948 -5791 55885 -5910 57584 -6031 60082 -6150 62239 -6270 64309 -6390 66014 -6511 68766 -6631 71012 -6750 73172 -6871 74952 -6991 77909 -7111 80371 -7231 82666 -7351 84531 -7469 87698 -7589 90318 -7711 225384 -7830 232428 -7950 240009 -8070 246522 -8190 253662 -8310 260961 -8431 269253 -8549 275743 -8671 283769 -8789 290811 -8911 300034 -9030 306873 -9149 315085 -9270 323944 -9390 332390 -9508 337519 -9631 348986 -9749 356904 -9871 367013 -9989 373831 -10108 381033 -10230 393475 diff --git a/libtommath/logs/sqr_kara.log b/libtommath/logs/sqr_kara.log deleted file mode 100644 index 06355a7..0000000 --- a/libtommath/logs/sqr_kara.log +++ /dev/null @@ -1,84 +0,0 @@ -271 560 -388 878 -511 1179 -629 1625 -751 1988 -871 2423 -989 2896 -1111 3561 -1231 4209 -1350 5015 -1470 5804 -1591 6556 -1709 7420 -1831 8263 -1951 9173 -2070 10153 -2191 11229 -2310 12167 -2431 13211 -2550 14309 -2671 15524 -2788 16525 -2910 17712 -3028 18822 -3148 20220 -3271 21343 -3391 22652 -3511 23944 -3630 25485 -3750 26778 -3868 28201 -3990 29653 -4111 31393 -4225 32841 -4350 34328 -4471 35786 -4590 37652 -4711 39245 -4830 40876 -4951 42433 -5068 44547 -5191 46321 -5311 48140 -5430 49727 -5550 52034 -5671 53954 -5791 55921 -5908 57597 -6031 60084 -6148 62226 -6270 64295 -6390 66045 -6511 68779 -6629 71003 -6751 73169 -6871 74992 -6991 77895 -7110 80376 -7231 82628 -7351 84468 -7470 87664 -7591 90284 -7711 91352 -7828 93995 -7950 96276 -8071 98691 -8190 101256 -8308 103631 -8431 105222 -8550 108343 -8671 110281 -8787 112764 -8911 115397 -9031 117690 -9151 120266 -9271 122715 -9391 124624 -9510 127937 -9630 130313 -9750 132914 -9871 136129 -9991 138517 -10108 141525 -10231 144225 diff --git a/libtommath/logs/sub.log b/libtommath/logs/sub.log deleted file mode 100644 index 9f84fa2..0000000 --- a/libtommath/logs/sub.log +++ /dev/null @@ -1,16 +0,0 @@ -480 94 -960 116 -1440 140 -1920 164 -2400 205 -2880 229 -3360 253 -3840 277 -4320 299 -4800 321 -5280 345 -5760 371 -6240 395 -6720 419 -7200 441 -7680 465 diff --git a/libtommath/mtest/logtab.h b/libtommath/mtest/logtab.h deleted file mode 100644 index addd3ab..0000000 --- a/libtommath/mtest/logtab.h +++ /dev/null @@ -1,19 +0,0 @@ -const float s_logv_2[] = { - 0.000000000, 0.000000000, 1.000000000, 0.630929754, /* 0 1 2 3 */ - 0.500000000, 0.430676558, 0.386852807, 0.356207187, /* 4 5 6 7 */ - 0.333333333, 0.315464877, 0.301029996, 0.289064826, /* 8 9 10 11 */ - 0.278942946, 0.270238154, 0.262649535, 0.255958025, /* 12 13 14 15 */ - 0.250000000, 0.244650542, 0.239812467, 0.235408913, /* 16 17 18 19 */ - 0.231378213, 0.227670249, 0.224243824, 0.221064729, /* 20 21 22 23 */ - 0.218104292, 0.215338279, 0.212746054, 0.210309918, /* 24 25 26 27 */ - 0.208014598, 0.205846832, 0.203795047, 0.201849087, /* 28 29 30 31 */ - 0.200000000, 0.198239863, 0.196561632, 0.194959022, /* 32 33 34 35 */ - 0.193426404, 0.191958720, 0.190551412, 0.189200360, /* 36 37 38 39 */ - 0.187901825, 0.186652411, 0.185449023, 0.184288833, /* 40 41 42 43 */ - 0.183169251, 0.182087900, 0.181042597, 0.180031327, /* 44 45 46 47 */ - 0.179052232, 0.178103594, 0.177183820, 0.176291434, /* 48 49 50 51 */ - 0.175425064, 0.174583430, 0.173765343, 0.172969690, /* 52 53 54 55 */ - 0.172195434, 0.171441601, 0.170707280, 0.169991616, /* 56 57 58 59 */ - 0.169293808, 0.168613099, 0.167948779, 0.167300179, /* 60 61 62 63 */ - 0.166666667 -}; diff --git a/libtommath/mtest/mpi-config.h b/libtommath/mtest/mpi-config.h deleted file mode 100644 index a347263..0000000 --- a/libtommath/mtest/mpi-config.h +++ /dev/null @@ -1,85 +0,0 @@ -/* Default configuration for MPI library */ - -#ifndef MPI_CONFIG_H_ -#define MPI_CONFIG_H_ - -/* - For boolean options, - 0 = no - 1 = yes - - Other options are documented individually. - - */ - -#ifndef MP_IOFUNC -#define MP_IOFUNC 0 /* include mp_print() ? */ -#endif - -#ifndef MP_MODARITH -#define MP_MODARITH 1 /* include modular arithmetic ? */ -#endif - -#ifndef MP_NUMTH -#define MP_NUMTH 1 /* include number theoretic functions? */ -#endif - -#ifndef MP_LOGTAB -#define MP_LOGTAB 1 /* use table of logs instead of log()? */ -#endif - -#ifndef MP_MEMSET -#define MP_MEMSET 1 /* use memset() to zero buffers? */ -#endif - -#ifndef MP_MEMCPY -#define MP_MEMCPY 1 /* use memcpy() to copy buffers? */ -#endif - -#ifndef MP_CRYPTO -#define MP_CRYPTO 1 /* erase memory on free? */ -#endif - -#ifndef MP_ARGCHK -/* - 0 = no parameter checks - 1 = runtime checks, continue execution and return an error to caller - 2 = assertions; dump core on parameter errors - */ -#define MP_ARGCHK 2 /* how to check input arguments */ -#endif - -#ifndef MP_DEBUG -#define MP_DEBUG 0 /* print diagnostic output? */ -#endif - -#ifndef MP_DEFPREC -#define MP_DEFPREC 64 /* default precision, in digits */ -#endif - -#ifndef MP_MACRO -#define MP_MACRO 1 /* use macros for frequent calls? */ -#endif - -#ifndef MP_SQUARE -#define MP_SQUARE 1 /* use separate squaring code? */ -#endif - -#ifndef MP_PTAB_SIZE -/* - When building mpprime.c, we build in a table of small prime - values to use for primality testing. The more you include, - the more space they take up. See primes.c for the possible - values (currently 16, 32, 64, 128, 256, and 6542) - */ -#define MP_PTAB_SIZE 128 /* how many built-in primes? */ -#endif - -#ifndef MP_COMPAT_MACROS -#define MP_COMPAT_MACROS 1 /* define compatibility macros? */ -#endif - -#endif /* ifndef MPI_CONFIG_H_ */ - - -/* crc==3287762869, version==2, Sat Feb 02 06:43:53 2002 */ diff --git a/libtommath/mtest/mpi-types.h b/libtommath/mtest/mpi-types.h deleted file mode 100644 index 42ccfc3..0000000 --- a/libtommath/mtest/mpi-types.h +++ /dev/null @@ -1,15 +0,0 @@ -/* Type definitions generated by 'types.pl' */ -typedef char mp_sign; -typedef unsigned short mp_digit; /* 2 byte type */ -typedef unsigned int mp_word; /* 4 byte type */ -typedef unsigned int mp_size; -typedef int mp_err; - -#define MP_DIGIT_BIT (CHAR_BIT*sizeof(mp_digit)) -#define MP_DIGIT_MAX USHRT_MAX -#define MP_WORD_BIT (CHAR_BIT*sizeof(mp_word)) -#define MP_WORD_MAX UINT_MAX - -#define MP_DIGIT_SIZE 2 -#define DIGIT_FMT "%04X" -#define RADIX (MP_DIGIT_MAX+1) diff --git a/libtommath/mtest/mpi.c b/libtommath/mtest/mpi.c deleted file mode 100644 index 4566e89..0000000 --- a/libtommath/mtest/mpi.c +++ /dev/null @@ -1,3979 +0,0 @@ -/* - mpi.c - - by Michael J. Fromberger - Copyright (C) 1998 Michael J. Fromberger, All Rights Reserved - - Arbitrary precision integer arithmetic library - */ - -#include "mpi.h" -#include -#include -#include - -#if MP_DEBUG -#include - -#define DIAG(T,V) {fprintf(stderr,T);mp_print(V,stderr);fputc('\n',stderr);} -#else -#define DIAG(T,V) -#endif - -/* - If MP_LOGTAB is not defined, use the math library to compute the - logarithms on the fly. Otherwise, use the static table below. - Pick which works best for your system. - */ -#if MP_LOGTAB - -/* {{{ s_logv_2[] - log table for 2 in various bases */ - -/* - A table of the logs of 2 for various bases (the 0 and 1 entries of - this table are meaningless and should not be referenced). - - This table is used to compute output lengths for the mp_toradix() - function. Since a number n in radix r takes up about log_r(n) - digits, we estimate the output size by taking the least integer - greater than log_r(n), where: - - log_r(n) = log_2(n) * log_r(2) - - This table, therefore, is a table of log_r(2) for 2 <= r <= 36, - which are the output bases supported. - */ - -#include "logtab.h" - -/* }}} */ -#define LOG_V_2(R) s_logv_2[(R)] - -#else - -#include -#define LOG_V_2(R) (log(2.0)/log(R)) - -#endif - -/* Default precision for newly created mp_int's */ -static unsigned int s_mp_defprec = MP_DEFPREC; - -/* {{{ Digit arithmetic macros */ - -/* - When adding and multiplying digits, the results can be larger than - can be contained in an mp_digit. Thus, an mp_word is used. These - macros mask off the upper and lower digits of the mp_word (the - mp_word may be more than 2 mp_digits wide, but we only concern - ourselves with the low-order 2 mp_digits) - - If your mp_word DOES have more than 2 mp_digits, you need to - uncomment the first line, and comment out the second. - */ - -/* #define CARRYOUT(W) (((W)>>DIGIT_BIT)&MP_DIGIT_MAX) */ -#define CARRYOUT(W) ((W)>>DIGIT_BIT) -#define ACCUM(W) ((W)&MP_DIGIT_MAX) - -/* }}} */ - -/* {{{ Comparison constants */ - -#define MP_LT -1 -#define MP_EQ 0 -#define MP_GT 1 - -/* }}} */ - -/* {{{ Constant strings */ - -/* Constant strings returned by mp_strerror() */ -static const char *const mp_err_string[] = { - "unknown result code", /* say what? */ - "boolean true", /* MP_OKAY, MP_YES */ - "boolean false", /* MP_NO */ - "out of memory", /* MP_MEM */ - "argument out of range", /* MP_RANGE */ - "invalid input parameter", /* MP_BADARG */ - "result is undefined" /* MP_UNDEF */ -}; - -/* Value to digit maps for radix conversion */ - -/* s_dmap_1 - standard digits and letters */ -static const char *s_dmap_1 = - "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"; - -#if 0 -/* s_dmap_2 - base64 ordering for digits */ -static const char *s_dmap_2 = - "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"; -#endif - -/* }}} */ - -/* {{{ Static function declarations */ - -/* - If MP_MACRO is false, these will be defined as actual functions; - otherwise, suitable macro definitions will be used. This works - around the fact that ANSI C89 doesn't support an 'inline' keyword - (although I hear C9x will ... about bloody time). At present, the - macro definitions are identical to the function bodies, but they'll - expand in place, instead of generating a function call. - - I chose these particular functions to be made into macros because - some profiling showed they are called a lot on a typical workload, - and yet they are primarily housekeeping. - */ -#if MP_MACRO == 0 - void s_mp_setz(mp_digit *dp, mp_size count); /* zero digits */ - void s_mp_copy(mp_digit *sp, mp_digit *dp, mp_size count); /* copy */ - void *s_mp_alloc(size_t nb, size_t ni); /* general allocator */ - void s_mp_free(void *ptr); /* general free function */ -#else - - /* Even if these are defined as macros, we need to respect the settings - of the MP_MEMSET and MP_MEMCPY configuration options... - */ - #if MP_MEMSET == 0 - #define s_mp_setz(dp, count) \ - {int ix;for(ix=0;ix<(count);ix++)(dp)[ix]=0;} - #else - #define s_mp_setz(dp, count) memset(dp, 0, (count) * sizeof(mp_digit)) - #endif /* MP_MEMSET */ - - #if MP_MEMCPY == 0 - #define s_mp_copy(sp, dp, count) \ - {int ix;for(ix=0;ix<(count);ix++)(dp)[ix]=(sp)[ix];} - #else - #define s_mp_copy(sp, dp, count) memcpy(dp, sp, (count) * sizeof(mp_digit)) - #endif /* MP_MEMCPY */ - - #define s_mp_alloc(nb, ni) calloc(nb, ni) - #define s_mp_free(ptr) {if(ptr) free(ptr);} -#endif /* MP_MACRO */ - -mp_err s_mp_grow(mp_int *mp, mp_size min); /* increase allocated size */ -mp_err s_mp_pad(mp_int *mp, mp_size min); /* left pad with zeroes */ - -void s_mp_clamp(mp_int *mp); /* clip leading zeroes */ - -void s_mp_exch(mp_int *a, mp_int *b); /* swap a and b in place */ - -mp_err s_mp_lshd(mp_int *mp, mp_size p); /* left-shift by p digits */ -void s_mp_rshd(mp_int *mp, mp_size p); /* right-shift by p digits */ -void s_mp_div_2d(mp_int *mp, mp_digit d); /* divide by 2^d in place */ -void s_mp_mod_2d(mp_int *mp, mp_digit d); /* modulo 2^d in place */ -mp_err s_mp_mul_2d(mp_int *mp, mp_digit d); /* multiply by 2^d in place*/ -void s_mp_div_2(mp_int *mp); /* divide by 2 in place */ -mp_err s_mp_mul_2(mp_int *mp); /* multiply by 2 in place */ -mp_digit s_mp_norm(mp_int *a, mp_int *b); /* normalize for division */ -mp_err s_mp_add_d(mp_int *mp, mp_digit d); /* unsigned digit addition */ -mp_err s_mp_sub_d(mp_int *mp, mp_digit d); /* unsigned digit subtract */ -mp_err s_mp_mul_d(mp_int *mp, mp_digit d); /* unsigned digit multiply */ -mp_err s_mp_div_d(mp_int *mp, mp_digit d, mp_digit *r); - /* unsigned digit divide */ -mp_err s_mp_reduce(mp_int *x, mp_int *m, mp_int *mu); - /* Barrett reduction */ -mp_err s_mp_add(mp_int *a, mp_int *b); /* magnitude addition */ -mp_err s_mp_sub(mp_int *a, mp_int *b); /* magnitude subtract */ -mp_err s_mp_mul(mp_int *a, mp_int *b); /* magnitude multiply */ -#if 0 -void s_mp_kmul(mp_digit *a, mp_digit *b, mp_digit *out, mp_size len); - /* multiply buffers in place */ -#endif -#if MP_SQUARE -mp_err s_mp_sqr(mp_int *a); /* magnitude square */ -#else -#define s_mp_sqr(a) s_mp_mul(a, a) -#endif -mp_err s_mp_div(mp_int *a, mp_int *b); /* magnitude divide */ -mp_err s_mp_2expt(mp_int *a, mp_digit k); /* a = 2^k */ -int s_mp_cmp(mp_int *a, mp_int *b); /* magnitude comparison */ -int s_mp_cmp_d(mp_int *a, mp_digit d); /* magnitude digit compare */ -int s_mp_ispow2(mp_int *v); /* is v a power of 2? */ -int s_mp_ispow2d(mp_digit d); /* is d a power of 2? */ - -int s_mp_tovalue(char ch, int r); /* convert ch to value */ -char s_mp_todigit(int val, int r, int low); /* convert val to digit */ -int s_mp_outlen(int bits, int r); /* output length in bytes */ - -/* }}} */ - -/* {{{ Default precision manipulation */ - -unsigned int mp_get_prec(void) -{ - return s_mp_defprec; - -} /* end mp_get_prec() */ - -void mp_set_prec(unsigned int prec) -{ - if(prec == 0) - s_mp_defprec = MP_DEFPREC; - else - s_mp_defprec = prec; - -} /* end mp_set_prec() */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* {{{ mp_init(mp) */ - -/* - mp_init(mp) - - Initialize a new zero-valued mp_int. Returns MP_OKAY if successful, - MP_MEM if memory could not be allocated for the structure. - */ - -mp_err mp_init(mp_int *mp) -{ - return mp_init_size(mp, s_mp_defprec); - -} /* end mp_init() */ - -/* }}} */ - -/* {{{ mp_init_array(mp[], count) */ - -mp_err mp_init_array(mp_int mp[], int count) -{ - mp_err res; - int pos; - - ARGCHK(mp !=NULL && count > 0, MP_BADARG); - - for(pos = 0; pos < count; ++pos) { - if((res = mp_init(&mp[pos])) != MP_OKAY) - goto CLEANUP; - } - - return MP_OKAY; - - CLEANUP: - while(--pos >= 0) - mp_clear(&mp[pos]); - - return res; - -} /* end mp_init_array() */ - -/* }}} */ - -/* {{{ mp_init_size(mp, prec) */ - -/* - mp_init_size(mp, prec) - - Initialize a new zero-valued mp_int with at least the given - precision; returns MP_OKAY if successful, or MP_MEM if memory could - not be allocated for the structure. - */ - -mp_err mp_init_size(mp_int *mp, mp_size prec) -{ - ARGCHK(mp != NULL && prec > 0, MP_BADARG); - - if((DIGITS(mp) = s_mp_alloc(prec, sizeof(mp_digit))) == NULL) - return MP_MEM; - - SIGN(mp) = MP_ZPOS; - USED(mp) = 1; - ALLOC(mp) = prec; - - return MP_OKAY; - -} /* end mp_init_size() */ - -/* }}} */ - -/* {{{ mp_init_copy(mp, from) */ - -/* - mp_init_copy(mp, from) - - Initialize mp as an exact copy of from. Returns MP_OKAY if - successful, MP_MEM if memory could not be allocated for the new - structure. - */ - -mp_err mp_init_copy(mp_int *mp, mp_int *from) -{ - ARGCHK(mp != NULL && from != NULL, MP_BADARG); - - if(mp == from) - return MP_OKAY; - - if((DIGITS(mp) = s_mp_alloc(USED(from), sizeof(mp_digit))) == NULL) - return MP_MEM; - - s_mp_copy(DIGITS(from), DIGITS(mp), USED(from)); - USED(mp) = USED(from); - ALLOC(mp) = USED(from); - SIGN(mp) = SIGN(from); - - return MP_OKAY; - -} /* end mp_init_copy() */ - -/* }}} */ - -/* {{{ mp_copy(from, to) */ - -/* - mp_copy(from, to) - - Copies the mp_int 'from' to the mp_int 'to'. It is presumed that - 'to' has already been initialized (if not, use mp_init_copy() - instead). If 'from' and 'to' are identical, nothing happens. - */ - -mp_err mp_copy(mp_int *from, mp_int *to) -{ - ARGCHK(from != NULL && to != NULL, MP_BADARG); - - if(from == to) - return MP_OKAY; - - { /* copy */ - mp_digit *tmp; - - /* - If the allocated buffer in 'to' already has enough space to hold - all the used digits of 'from', we'll re-use it to avoid hitting - the memory allocater more than necessary; otherwise, we'd have - to grow anyway, so we just allocate a hunk and make the copy as - usual - */ - if(ALLOC(to) >= USED(from)) { - s_mp_setz(DIGITS(to) + USED(from), ALLOC(to) - USED(from)); - s_mp_copy(DIGITS(from), DIGITS(to), USED(from)); - - } else { - if((tmp = s_mp_alloc(USED(from), sizeof(mp_digit))) == NULL) - return MP_MEM; - - s_mp_copy(DIGITS(from), tmp, USED(from)); - - if(DIGITS(to) != NULL) { -#if MP_CRYPTO - s_mp_setz(DIGITS(to), ALLOC(to)); -#endif - s_mp_free(DIGITS(to)); - } - - DIGITS(to) = tmp; - ALLOC(to) = USED(from); - } - - /* Copy the precision and sign from the original */ - USED(to) = USED(from); - SIGN(to) = SIGN(from); - } /* end copy */ - - return MP_OKAY; - -} /* end mp_copy() */ - -/* }}} */ - -/* {{{ mp_exch(mp1, mp2) */ - -/* - mp_exch(mp1, mp2) - - Exchange mp1 and mp2 without allocating any intermediate memory - (well, unless you count the stack space needed for this call and the - locals it creates...). This cannot fail. - */ - -void mp_exch(mp_int *mp1, mp_int *mp2) -{ -#if MP_ARGCHK == 2 - assert(mp1 != NULL && mp2 != NULL); -#else - if(mp1 == NULL || mp2 == NULL) - return; -#endif - - s_mp_exch(mp1, mp2); - -} /* end mp_exch() */ - -/* }}} */ - -/* {{{ mp_clear(mp) */ - -/* - mp_clear(mp) - - Release the storage used by an mp_int, and void its fields so that - if someone calls mp_clear() again for the same int later, we won't - get tollchocked. - */ - -void mp_clear(mp_int *mp) -{ - if(mp == NULL) - return; - - if(DIGITS(mp) != NULL) { -#if MP_CRYPTO - s_mp_setz(DIGITS(mp), ALLOC(mp)); -#endif - s_mp_free(DIGITS(mp)); - DIGITS(mp) = NULL; - } - - USED(mp) = 0; - ALLOC(mp) = 0; - -} /* end mp_clear() */ - -/* }}} */ - -/* {{{ mp_clear_array(mp[], count) */ - -void mp_clear_array(mp_int mp[], int count) -{ - ARGCHK(mp != NULL && count > 0, MP_BADARG); - - while(--count >= 0) - mp_clear(&mp[count]); - -} /* end mp_clear_array() */ - -/* }}} */ - -/* {{{ mp_zero(mp) */ - -/* - mp_zero(mp) - - Set mp to zero. Does not change the allocated size of the structure, - and therefore cannot fail (except on a bad argument, which we ignore) - */ -void mp_zero(mp_int *mp) -{ - if(mp == NULL) - return; - - s_mp_setz(DIGITS(mp), ALLOC(mp)); - USED(mp) = 1; - SIGN(mp) = MP_ZPOS; - -} /* end mp_zero() */ - -/* }}} */ - -/* {{{ mp_set(mp, d) */ - -void mp_set(mp_int *mp, mp_digit d) -{ - if(mp == NULL) - return; - - mp_zero(mp); - DIGIT(mp, 0) = d; - -} /* end mp_set() */ - -/* }}} */ - -/* {{{ mp_set_int(mp, z) */ - -mp_err mp_set_int(mp_int *mp, long z) -{ - int ix; - unsigned long v = abs(z); - mp_err res; - - ARGCHK(mp != NULL, MP_BADARG); - - mp_zero(mp); - if(z == 0) - return MP_OKAY; /* shortcut for zero */ - - for(ix = sizeof(long) - 1; ix >= 0; ix--) { - - if((res = s_mp_mul_2d(mp, CHAR_BIT)) != MP_OKAY) - return res; - - res = s_mp_add_d(mp, - (mp_digit)((v >> (ix * CHAR_BIT)) & UCHAR_MAX)); - if(res != MP_OKAY) - return res; - - } - - if(z < 0) - SIGN(mp) = MP_NEG; - - return MP_OKAY; - -} /* end mp_set_int() */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* {{{ Digit arithmetic */ - -/* {{{ mp_add_d(a, d, b) */ - -/* - mp_add_d(a, d, b) - - Compute the sum b = a + d, for a single digit d. Respects the sign of - its primary addend (single digits are unsigned anyway). - */ - -mp_err mp_add_d(mp_int *a, mp_digit d, mp_int *b) -{ - mp_err res = MP_OKAY; - - ARGCHK(a != NULL && b != NULL, MP_BADARG); - - if((res = mp_copy(a, b)) != MP_OKAY) - return res; - - if(SIGN(b) == MP_ZPOS) { - res = s_mp_add_d(b, d); - } else if(s_mp_cmp_d(b, d) >= 0) { - res = s_mp_sub_d(b, d); - } else { - SIGN(b) = MP_ZPOS; - - DIGIT(b, 0) = d - DIGIT(b, 0); - } - - return res; - -} /* end mp_add_d() */ - -/* }}} */ - -/* {{{ mp_sub_d(a, d, b) */ - -/* - mp_sub_d(a, d, b) - - Compute the difference b = a - d, for a single digit d. Respects the - sign of its subtrahend (single digits are unsigned anyway). - */ - -mp_err mp_sub_d(mp_int *a, mp_digit d, mp_int *b) -{ - mp_err res; - - ARGCHK(a != NULL && b != NULL, MP_BADARG); - - if((res = mp_copy(a, b)) != MP_OKAY) - return res; - - if(SIGN(b) == MP_NEG) { - if((res = s_mp_add_d(b, d)) != MP_OKAY) - return res; - - } else if(s_mp_cmp_d(b, d) >= 0) { - if((res = s_mp_sub_d(b, d)) != MP_OKAY) - return res; - - } else { - mp_neg(b, b); - - DIGIT(b, 0) = d - DIGIT(b, 0); - SIGN(b) = MP_NEG; - } - - if(s_mp_cmp_d(b, 0) == 0) - SIGN(b) = MP_ZPOS; - - return MP_OKAY; - -} /* end mp_sub_d() */ - -/* }}} */ - -/* {{{ mp_mul_d(a, d, b) */ - -/* - mp_mul_d(a, d, b) - - Compute the product b = a * d, for a single digit d. Respects the sign - of its multiplicand (single digits are unsigned anyway) - */ - -mp_err mp_mul_d(mp_int *a, mp_digit d, mp_int *b) -{ - mp_err res; - - ARGCHK(a != NULL && b != NULL, MP_BADARG); - - if(d == 0) { - mp_zero(b); - return MP_OKAY; - } - - if((res = mp_copy(a, b)) != MP_OKAY) - return res; - - res = s_mp_mul_d(b, d); - - return res; - -} /* end mp_mul_d() */ - -/* }}} */ - -/* {{{ mp_mul_2(a, c) */ - -mp_err mp_mul_2(mp_int *a, mp_int *c) -{ - mp_err res; - - ARGCHK(a != NULL && c != NULL, MP_BADARG); - - if((res = mp_copy(a, c)) != MP_OKAY) - return res; - - return s_mp_mul_2(c); - -} /* end mp_mul_2() */ - -/* }}} */ - -/* {{{ mp_div_d(a, d, q, r) */ - -/* - mp_div_d(a, d, q, r) - - Compute the quotient q = a / d and remainder r = a mod d, for a - single digit d. Respects the sign of its divisor (single digits are - unsigned anyway). - */ - -mp_err mp_div_d(mp_int *a, mp_digit d, mp_int *q, mp_digit *r) -{ - mp_err res; - mp_digit rem; - int pow; - - ARGCHK(a != NULL, MP_BADARG); - - if(d == 0) - return MP_RANGE; - - /* Shortcut for powers of two ... */ - if((pow = s_mp_ispow2d(d)) >= 0) { - mp_digit mask; - - mask = (1 << pow) - 1; - rem = DIGIT(a, 0) & mask; - - if(q) { - mp_copy(a, q); - s_mp_div_2d(q, pow); - } - - if(r) - *r = rem; - - return MP_OKAY; - } - - /* - If the quotient is actually going to be returned, we'll try to - avoid hitting the memory allocator by copying the dividend into it - and doing the division there. This can't be any _worse_ than - always copying, and will sometimes be better (since it won't make - another copy) - - If it's not going to be returned, we need to allocate a temporary - to hold the quotient, which will just be discarded. - */ - if(q) { - if((res = mp_copy(a, q)) != MP_OKAY) - return res; - - res = s_mp_div_d(q, d, &rem); - if(s_mp_cmp_d(q, 0) == MP_EQ) - SIGN(q) = MP_ZPOS; - - } else { - mp_int qp; - - if((res = mp_init_copy(&qp, a)) != MP_OKAY) - return res; - - res = s_mp_div_d(&qp, d, &rem); - if(s_mp_cmp_d(&qp, 0) == 0) - SIGN(&qp) = MP_ZPOS; - - mp_clear(&qp); - } - - if(r) - *r = rem; - - return res; - -} /* end mp_div_d() */ - -/* }}} */ - -/* {{{ mp_div_2(a, c) */ - -/* - mp_div_2(a, c) - - Compute c = a / 2, disregarding the remainder. - */ - -mp_err mp_div_2(mp_int *a, mp_int *c) -{ - mp_err res; - - ARGCHK(a != NULL && c != NULL, MP_BADARG); - - if((res = mp_copy(a, c)) != MP_OKAY) - return res; - - s_mp_div_2(c); - - return MP_OKAY; - -} /* end mp_div_2() */ - -/* }}} */ - -/* {{{ mp_expt_d(a, d, b) */ - -mp_err mp_expt_d(mp_int *a, mp_digit d, mp_int *c) -{ - mp_int s, x; - mp_err res; - - ARGCHK(a != NULL && c != NULL, MP_BADARG); - - if((res = mp_init(&s)) != MP_OKAY) - return res; - if((res = mp_init_copy(&x, a)) != MP_OKAY) - goto X; - - DIGIT(&s, 0) = 1; - - while(d != 0) { - if(d & 1) { - if((res = s_mp_mul(&s, &x)) != MP_OKAY) - goto CLEANUP; - } - - d >>= 1; - - if((res = s_mp_sqr(&x)) != MP_OKAY) - goto CLEANUP; - } - - s_mp_exch(&s, c); - -CLEANUP: - mp_clear(&x); -X: - mp_clear(&s); - - return res; - -} /* end mp_expt_d() */ - -/* }}} */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* {{{ Full arithmetic */ - -/* {{{ mp_abs(a, b) */ - -/* - mp_abs(a, b) - - Compute b = |a|. 'a' and 'b' may be identical. - */ - -mp_err mp_abs(mp_int *a, mp_int *b) -{ - mp_err res; - - ARGCHK(a != NULL && b != NULL, MP_BADARG); - - if((res = mp_copy(a, b)) != MP_OKAY) - return res; - - SIGN(b) = MP_ZPOS; - - return MP_OKAY; - -} /* end mp_abs() */ - -/* }}} */ - -/* {{{ mp_neg(a, b) */ - -/* - mp_neg(a, b) - - Compute b = -a. 'a' and 'b' may be identical. - */ - -mp_err mp_neg(mp_int *a, mp_int *b) -{ - mp_err res; - - ARGCHK(a != NULL && b != NULL, MP_BADARG); - - if((res = mp_copy(a, b)) != MP_OKAY) - return res; - - if(s_mp_cmp_d(b, 0) == MP_EQ) - SIGN(b) = MP_ZPOS; - else - SIGN(b) = (SIGN(b) == MP_NEG) ? MP_ZPOS : MP_NEG; - - return MP_OKAY; - -} /* end mp_neg() */ - -/* }}} */ - -/* {{{ mp_add(a, b, c) */ - -/* - mp_add(a, b, c) - - Compute c = a + b. All parameters may be identical. - */ - -mp_err mp_add(mp_int *a, mp_int *b, mp_int *c) -{ - mp_err res; - int cmp; - - ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); - - if(SIGN(a) == SIGN(b)) { /* same sign: add values, keep sign */ - - /* Commutativity of addition lets us do this in either order, - so we avoid having to use a temporary even if the result - is supposed to replace the output - */ - if(c == b) { - if((res = s_mp_add(c, a)) != MP_OKAY) - return res; - } else { - if(c != a && (res = mp_copy(a, c)) != MP_OKAY) - return res; - - if((res = s_mp_add(c, b)) != MP_OKAY) - return res; - } - - } else if((cmp = s_mp_cmp(a, b)) > 0) { /* different sign: a > b */ - - /* If the output is going to be clobbered, we will use a temporary - variable; otherwise, we'll do it without touching the memory - allocator at all, if possible - */ - if(c == b) { - mp_int tmp; - - if((res = mp_init_copy(&tmp, a)) != MP_OKAY) - return res; - if((res = s_mp_sub(&tmp, b)) != MP_OKAY) { - mp_clear(&tmp); - return res; - } - - s_mp_exch(&tmp, c); - mp_clear(&tmp); - - } else { - - if(c != a && (res = mp_copy(a, c)) != MP_OKAY) - return res; - if((res = s_mp_sub(c, b)) != MP_OKAY) - return res; - - } - - } else if(cmp == 0) { /* different sign, a == b */ - - mp_zero(c); - return MP_OKAY; - - } else { /* different sign: a < b */ - - /* See above... */ - if(c == a) { - mp_int tmp; - - if((res = mp_init_copy(&tmp, b)) != MP_OKAY) - return res; - if((res = s_mp_sub(&tmp, a)) != MP_OKAY) { - mp_clear(&tmp); - return res; - } - - s_mp_exch(&tmp, c); - mp_clear(&tmp); - - } else { - - if(c != b && (res = mp_copy(b, c)) != MP_OKAY) - return res; - if((res = s_mp_sub(c, a)) != MP_OKAY) - return res; - - } - } - - if(USED(c) == 1 && DIGIT(c, 0) == 0) - SIGN(c) = MP_ZPOS; - - return MP_OKAY; - -} /* end mp_add() */ - -/* }}} */ - -/* {{{ mp_sub(a, b, c) */ - -/* - mp_sub(a, b, c) - - Compute c = a - b. All parameters may be identical. - */ - -mp_err mp_sub(mp_int *a, mp_int *b, mp_int *c) -{ - mp_err res; - int cmp; - - ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); - - if(SIGN(a) != SIGN(b)) { - if(c == a) { - if((res = s_mp_add(c, b)) != MP_OKAY) - return res; - } else { - if(c != b && ((res = mp_copy(b, c)) != MP_OKAY)) - return res; - if((res = s_mp_add(c, a)) != MP_OKAY) - return res; - SIGN(c) = SIGN(a); - } - - } else if((cmp = s_mp_cmp(a, b)) > 0) { /* Same sign, a > b */ - if(c == b) { - mp_int tmp; - - if((res = mp_init_copy(&tmp, a)) != MP_OKAY) - return res; - if((res = s_mp_sub(&tmp, b)) != MP_OKAY) { - mp_clear(&tmp); - return res; - } - s_mp_exch(&tmp, c); - mp_clear(&tmp); - - } else { - if(c != a && ((res = mp_copy(a, c)) != MP_OKAY)) - return res; - - if((res = s_mp_sub(c, b)) != MP_OKAY) - return res; - } - - } else if(cmp == 0) { /* Same sign, equal magnitude */ - mp_zero(c); - return MP_OKAY; - - } else { /* Same sign, b > a */ - if(c == a) { - mp_int tmp; - - if((res = mp_init_copy(&tmp, b)) != MP_OKAY) - return res; - - if((res = s_mp_sub(&tmp, a)) != MP_OKAY) { - mp_clear(&tmp); - return res; - } - s_mp_exch(&tmp, c); - mp_clear(&tmp); - - } else { - if(c != b && ((res = mp_copy(b, c)) != MP_OKAY)) - return res; - - if((res = s_mp_sub(c, a)) != MP_OKAY) - return res; - } - - SIGN(c) = !SIGN(b); - } - - if(USED(c) == 1 && DIGIT(c, 0) == 0) - SIGN(c) = MP_ZPOS; - - return MP_OKAY; - -} /* end mp_sub() */ - -/* }}} */ - -/* {{{ mp_mul(a, b, c) */ - -/* - mp_mul(a, b, c) - - Compute c = a * b. All parameters may be identical. - */ - -mp_err mp_mul(mp_int *a, mp_int *b, mp_int *c) -{ - mp_err res; - mp_sign sgn; - - ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); - - sgn = (SIGN(a) == SIGN(b)) ? MP_ZPOS : MP_NEG; - - if(c == b) { - if((res = s_mp_mul(c, a)) != MP_OKAY) - return res; - - } else { - if((res = mp_copy(a, c)) != MP_OKAY) - return res; - - if((res = s_mp_mul(c, b)) != MP_OKAY) - return res; - } - - if(sgn == MP_ZPOS || s_mp_cmp_d(c, 0) == MP_EQ) - SIGN(c) = MP_ZPOS; - else - SIGN(c) = sgn; - - return MP_OKAY; - -} /* end mp_mul() */ - -/* }}} */ - -/* {{{ mp_mul_2d(a, d, c) */ - -/* - mp_mul_2d(a, d, c) - - Compute c = a * 2^d. a may be the same as c. - */ - -mp_err mp_mul_2d(mp_int *a, mp_digit d, mp_int *c) -{ - mp_err res; - - ARGCHK(a != NULL && c != NULL, MP_BADARG); - - if((res = mp_copy(a, c)) != MP_OKAY) - return res; - - if(d == 0) - return MP_OKAY; - - return s_mp_mul_2d(c, d); - -} /* end mp_mul() */ - -/* }}} */ - -/* {{{ mp_sqr(a, b) */ - -#if MP_SQUARE -mp_err mp_sqr(mp_int *a, mp_int *b) -{ - mp_err res; - - ARGCHK(a != NULL && b != NULL, MP_BADARG); - - if((res = mp_copy(a, b)) != MP_OKAY) - return res; - - if((res = s_mp_sqr(b)) != MP_OKAY) - return res; - - SIGN(b) = MP_ZPOS; - - return MP_OKAY; - -} /* end mp_sqr() */ -#endif - -/* }}} */ - -/* {{{ mp_div(a, b, q, r) */ - -/* - mp_div(a, b, q, r) - - Compute q = a / b and r = a mod b. Input parameters may be re-used - as output parameters. If q or r is NULL, that portion of the - computation will be discarded (although it will still be computed) - - Pay no attention to the hacker behind the curtain. - */ - -mp_err mp_div(mp_int *a, mp_int *b, mp_int *q, mp_int *r) -{ - mp_err res; - mp_int qtmp, rtmp; - int cmp; - - ARGCHK(a != NULL && b != NULL, MP_BADARG); - - if(mp_cmp_z(b) == MP_EQ) - return MP_RANGE; - - /* If a <= b, we can compute the solution without division, and - avoid any memory allocation - */ - if((cmp = s_mp_cmp(a, b)) < 0) { - if(r) { - if((res = mp_copy(a, r)) != MP_OKAY) - return res; - } - - if(q) - mp_zero(q); - - return MP_OKAY; - - } else if(cmp == 0) { - - /* Set quotient to 1, with appropriate sign */ - if(q) { - int qneg = (SIGN(a) != SIGN(b)); - - mp_set(q, 1); - if(qneg) - SIGN(q) = MP_NEG; - } - - if(r) - mp_zero(r); - - return MP_OKAY; - } - - /* If we get here, it means we actually have to do some division */ - - /* Set up some temporaries... */ - if((res = mp_init_copy(&qtmp, a)) != MP_OKAY) - return res; - if((res = mp_init_copy(&rtmp, b)) != MP_OKAY) - goto CLEANUP; - - if((res = s_mp_div(&qtmp, &rtmp)) != MP_OKAY) - goto CLEANUP; - - /* Compute the signs for the output */ - SIGN(&rtmp) = SIGN(a); /* Sr = Sa */ - if(SIGN(a) == SIGN(b)) - SIGN(&qtmp) = MP_ZPOS; /* Sq = MP_ZPOS if Sa = Sb */ - else - SIGN(&qtmp) = MP_NEG; /* Sq = MP_NEG if Sa != Sb */ - - if(s_mp_cmp_d(&qtmp, 0) == MP_EQ) - SIGN(&qtmp) = MP_ZPOS; - if(s_mp_cmp_d(&rtmp, 0) == MP_EQ) - SIGN(&rtmp) = MP_ZPOS; - - /* Copy output, if it is needed */ - if(q) - s_mp_exch(&qtmp, q); - - if(r) - s_mp_exch(&rtmp, r); - -CLEANUP: - mp_clear(&rtmp); - mp_clear(&qtmp); - - return res; - -} /* end mp_div() */ - -/* }}} */ - -/* {{{ mp_div_2d(a, d, q, r) */ - -mp_err mp_div_2d(mp_int *a, mp_digit d, mp_int *q, mp_int *r) -{ - mp_err res; - - ARGCHK(a != NULL, MP_BADARG); - - if(q) { - if((res = mp_copy(a, q)) != MP_OKAY) - return res; - - s_mp_div_2d(q, d); - } - - if(r) { - if((res = mp_copy(a, r)) != MP_OKAY) - return res; - - s_mp_mod_2d(r, d); - } - - return MP_OKAY; - -} /* end mp_div_2d() */ - -/* }}} */ - -/* {{{ mp_expt(a, b, c) */ - -/* - mp_expt(a, b, c) - - Compute c = a ** b, that is, raise a to the b power. Uses a - standard iterative square-and-multiply technique. - */ - -mp_err mp_expt(mp_int *a, mp_int *b, mp_int *c) -{ - mp_int s, x; - mp_err res; - mp_digit d; - int dig, bit; - - ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); - - if(mp_cmp_z(b) < 0) - return MP_RANGE; - - if((res = mp_init(&s)) != MP_OKAY) - return res; - - mp_set(&s, 1); - - if((res = mp_init_copy(&x, a)) != MP_OKAY) - goto X; - - /* Loop over low-order digits in ascending order */ - for(dig = 0; dig < (USED(b) - 1); dig++) { - d = DIGIT(b, dig); - - /* Loop over bits of each non-maximal digit */ - for(bit = 0; bit < DIGIT_BIT; bit++) { - if(d & 1) { - if((res = s_mp_mul(&s, &x)) != MP_OKAY) - goto CLEANUP; - } - - d >>= 1; - - if((res = s_mp_sqr(&x)) != MP_OKAY) - goto CLEANUP; - } - } - - /* Consider now the last digit... */ - d = DIGIT(b, dig); - - while(d) { - if(d & 1) { - if((res = s_mp_mul(&s, &x)) != MP_OKAY) - goto CLEANUP; - } - - d >>= 1; - - if((res = s_mp_sqr(&x)) != MP_OKAY) - goto CLEANUP; - } - - if(mp_iseven(b)) - SIGN(&s) = SIGN(a); - - res = mp_copy(&s, c); - -CLEANUP: - mp_clear(&x); -X: - mp_clear(&s); - - return res; - -} /* end mp_expt() */ - -/* }}} */ - -/* {{{ mp_2expt(a, k) */ - -/* Compute a = 2^k */ - -mp_err mp_2expt(mp_int *a, mp_digit k) -{ - ARGCHK(a != NULL, MP_BADARG); - - return s_mp_2expt(a, k); - -} /* end mp_2expt() */ - -/* }}} */ - -/* {{{ mp_mod(a, m, c) */ - -/* - mp_mod(a, m, c) - - Compute c = a (mod m). Result will always be 0 <= c < m. - */ - -mp_err mp_mod(mp_int *a, mp_int *m, mp_int *c) -{ - mp_err res; - int mag; - - ARGCHK(a != NULL && m != NULL && c != NULL, MP_BADARG); - - if(SIGN(m) == MP_NEG) - return MP_RANGE; - - /* - If |a| > m, we need to divide to get the remainder and take the - absolute value. - - If |a| < m, we don't need to do any division, just copy and adjust - the sign (if a is negative). - - If |a| == m, we can simply set the result to zero. - - This order is intended to minimize the average path length of the - comparison chain on common workloads -- the most frequent cases are - that |a| != m, so we do those first. - */ - if((mag = s_mp_cmp(a, m)) > 0) { - if((res = mp_div(a, m, NULL, c)) != MP_OKAY) - return res; - - if(SIGN(c) == MP_NEG) { - if((res = mp_add(c, m, c)) != MP_OKAY) - return res; - } - - } else if(mag < 0) { - if((res = mp_copy(a, c)) != MP_OKAY) - return res; - - if(mp_cmp_z(a) < 0) { - if((res = mp_add(c, m, c)) != MP_OKAY) - return res; - - } - - } else { - mp_zero(c); - - } - - return MP_OKAY; - -} /* end mp_mod() */ - -/* }}} */ - -/* {{{ mp_mod_d(a, d, c) */ - -/* - mp_mod_d(a, d, c) - - Compute c = a (mod d). Result will always be 0 <= c < d - */ -mp_err mp_mod_d(mp_int *a, mp_digit d, mp_digit *c) -{ - mp_err res; - mp_digit rem; - - ARGCHK(a != NULL && c != NULL, MP_BADARG); - - if(s_mp_cmp_d(a, d) > 0) { - if((res = mp_div_d(a, d, NULL, &rem)) != MP_OKAY) - return res; - - } else { - if(SIGN(a) == MP_NEG) - rem = d - DIGIT(a, 0); - else - rem = DIGIT(a, 0); - } - - if(c) - *c = rem; - - return MP_OKAY; - -} /* end mp_mod_d() */ - -/* }}} */ - -/* {{{ mp_sqrt(a, b) */ - -/* - mp_sqrt(a, b) - - Compute the integer square root of a, and store the result in b. - Uses an integer-arithmetic version of Newton's iterative linear - approximation technique to determine this value; the result has the - following two properties: - - b^2 <= a - (b+1)^2 >= a - - It is a range error to pass a negative value. - */ -mp_err mp_sqrt(mp_int *a, mp_int *b) -{ - mp_int x, t; - mp_err res; - - ARGCHK(a != NULL && b != NULL, MP_BADARG); - - /* Cannot take square root of a negative value */ - if(SIGN(a) == MP_NEG) - return MP_RANGE; - - /* Special cases for zero and one, trivial */ - if(mp_cmp_d(a, 0) == MP_EQ || mp_cmp_d(a, 1) == MP_EQ) - return mp_copy(a, b); - - /* Initialize the temporaries we'll use below */ - if((res = mp_init_size(&t, USED(a))) != MP_OKAY) - return res; - - /* Compute an initial guess for the iteration as a itself */ - if((res = mp_init_copy(&x, a)) != MP_OKAY) - goto X; - -s_mp_rshd(&x, (USED(&x)/2)+1); -mp_add_d(&x, 1, &x); - - for(;;) { - /* t = (x * x) - a */ - mp_copy(&x, &t); /* can't fail, t is big enough for original x */ - if((res = mp_sqr(&t, &t)) != MP_OKAY || - (res = mp_sub(&t, a, &t)) != MP_OKAY) - goto CLEANUP; - - /* t = t / 2x */ - s_mp_mul_2(&x); - if((res = mp_div(&t, &x, &t, NULL)) != MP_OKAY) - goto CLEANUP; - s_mp_div_2(&x); - - /* Terminate the loop, if the quotient is zero */ - if(mp_cmp_z(&t) == MP_EQ) - break; - - /* x = x - t */ - if((res = mp_sub(&x, &t, &x)) != MP_OKAY) - goto CLEANUP; - - } - - /* Copy result to output parameter */ - mp_sub_d(&x, 1, &x); - s_mp_exch(&x, b); - - CLEANUP: - mp_clear(&x); - X: - mp_clear(&t); - - return res; - -} /* end mp_sqrt() */ - -/* }}} */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* {{{ Modular arithmetic */ - -#if MP_MODARITH -/* {{{ mp_addmod(a, b, m, c) */ - -/* - mp_addmod(a, b, m, c) - - Compute c = (a + b) mod m - */ - -mp_err mp_addmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c) -{ - mp_err res; - - ARGCHK(a != NULL && b != NULL && m != NULL && c != NULL, MP_BADARG); - - if((res = mp_add(a, b, c)) != MP_OKAY) - return res; - if((res = mp_mod(c, m, c)) != MP_OKAY) - return res; - - return MP_OKAY; - -} - -/* }}} */ - -/* {{{ mp_submod(a, b, m, c) */ - -/* - mp_submod(a, b, m, c) - - Compute c = (a - b) mod m - */ - -mp_err mp_submod(mp_int *a, mp_int *b, mp_int *m, mp_int *c) -{ - mp_err res; - - ARGCHK(a != NULL && b != NULL && m != NULL && c != NULL, MP_BADARG); - - if((res = mp_sub(a, b, c)) != MP_OKAY) - return res; - if((res = mp_mod(c, m, c)) != MP_OKAY) - return res; - - return MP_OKAY; - -} - -/* }}} */ - -/* {{{ mp_mulmod(a, b, m, c) */ - -/* - mp_mulmod(a, b, m, c) - - Compute c = (a * b) mod m - */ - -mp_err mp_mulmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c) -{ - mp_err res; - - ARGCHK(a != NULL && b != NULL && m != NULL && c != NULL, MP_BADARG); - - if((res = mp_mul(a, b, c)) != MP_OKAY) - return res; - if((res = mp_mod(c, m, c)) != MP_OKAY) - return res; - - return MP_OKAY; - -} - -/* }}} */ - -/* {{{ mp_sqrmod(a, m, c) */ - -#if MP_SQUARE -mp_err mp_sqrmod(mp_int *a, mp_int *m, mp_int *c) -{ - mp_err res; - - ARGCHK(a != NULL && m != NULL && c != NULL, MP_BADARG); - - if((res = mp_sqr(a, c)) != MP_OKAY) - return res; - if((res = mp_mod(c, m, c)) != MP_OKAY) - return res; - - return MP_OKAY; - -} /* end mp_sqrmod() */ -#endif - -/* }}} */ - -/* {{{ mp_exptmod(a, b, m, c) */ - -/* - mp_exptmod(a, b, m, c) - - Compute c = (a ** b) mod m. Uses a standard square-and-multiply - method with modular reductions at each step. (This is basically the - same code as mp_expt(), except for the addition of the reductions) - - The modular reductions are done using Barrett's algorithm (see - s_mp_reduce() below for details) - */ - -mp_err mp_exptmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c) -{ - mp_int s, x, mu; - mp_err res; - mp_digit d, *db = DIGITS(b); - mp_size ub = USED(b); - int dig, bit; - - ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); - - if(mp_cmp_z(b) < 0 || mp_cmp_z(m) <= 0) - return MP_RANGE; - - if((res = mp_init(&s)) != MP_OKAY) - return res; - if((res = mp_init_copy(&x, a)) != MP_OKAY) - goto X; - if((res = mp_mod(&x, m, &x)) != MP_OKAY || - (res = mp_init(&mu)) != MP_OKAY) - goto MU; - - mp_set(&s, 1); - - /* mu = b^2k / m */ - s_mp_add_d(&mu, 1); - s_mp_lshd(&mu, 2 * USED(m)); - if((res = mp_div(&mu, m, &mu, NULL)) != MP_OKAY) - goto CLEANUP; - - /* Loop over digits of b in ascending order, except highest order */ - for(dig = 0; dig < (ub - 1); dig++) { - d = *db++; - - /* Loop over the bits of the lower-order digits */ - for(bit = 0; bit < DIGIT_BIT; bit++) { - if(d & 1) { - if((res = s_mp_mul(&s, &x)) != MP_OKAY) - goto CLEANUP; - if((res = s_mp_reduce(&s, m, &mu)) != MP_OKAY) - goto CLEANUP; - } - - d >>= 1; - - if((res = s_mp_sqr(&x)) != MP_OKAY) - goto CLEANUP; - if((res = s_mp_reduce(&x, m, &mu)) != MP_OKAY) - goto CLEANUP; - } - } - - /* Now do the last digit... */ - d = *db; - - while(d) { - if(d & 1) { - if((res = s_mp_mul(&s, &x)) != MP_OKAY) - goto CLEANUP; - if((res = s_mp_reduce(&s, m, &mu)) != MP_OKAY) - goto CLEANUP; - } - - d >>= 1; - - if((res = s_mp_sqr(&x)) != MP_OKAY) - goto CLEANUP; - if((res = s_mp_reduce(&x, m, &mu)) != MP_OKAY) - goto CLEANUP; - } - - s_mp_exch(&s, c); - - CLEANUP: - mp_clear(&mu); - MU: - mp_clear(&x); - X: - mp_clear(&s); - - return res; - -} /* end mp_exptmod() */ - -/* }}} */ - -/* {{{ mp_exptmod_d(a, d, m, c) */ - -mp_err mp_exptmod_d(mp_int *a, mp_digit d, mp_int *m, mp_int *c) -{ - mp_int s, x; - mp_err res; - - ARGCHK(a != NULL && c != NULL, MP_BADARG); - - if((res = mp_init(&s)) != MP_OKAY) - return res; - if((res = mp_init_copy(&x, a)) != MP_OKAY) - goto X; - - mp_set(&s, 1); - - while(d != 0) { - if(d & 1) { - if((res = s_mp_mul(&s, &x)) != MP_OKAY || - (res = mp_mod(&s, m, &s)) != MP_OKAY) - goto CLEANUP; - } - - d /= 2; - - if((res = s_mp_sqr(&x)) != MP_OKAY || - (res = mp_mod(&x, m, &x)) != MP_OKAY) - goto CLEANUP; - } - - s_mp_exch(&s, c); - -CLEANUP: - mp_clear(&x); -X: - mp_clear(&s); - - return res; - -} /* end mp_exptmod_d() */ - -/* }}} */ -#endif /* if MP_MODARITH */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* {{{ Comparison functions */ - -/* {{{ mp_cmp_z(a) */ - -/* - mp_cmp_z(a) - - Compare a <=> 0. Returns <0 if a<0, 0 if a=0, >0 if a>0. - */ - -int mp_cmp_z(mp_int *a) -{ - if(SIGN(a) == MP_NEG) - return MP_LT; - else if(USED(a) == 1 && DIGIT(a, 0) == 0) - return MP_EQ; - else - return MP_GT; - -} /* end mp_cmp_z() */ - -/* }}} */ - -/* {{{ mp_cmp_d(a, d) */ - -/* - mp_cmp_d(a, d) - - Compare a <=> d. Returns <0 if a0 if a>d - */ - -int mp_cmp_d(mp_int *a, mp_digit d) -{ - ARGCHK(a != NULL, MP_EQ); - - if(SIGN(a) == MP_NEG) - return MP_LT; - - return s_mp_cmp_d(a, d); - -} /* end mp_cmp_d() */ - -/* }}} */ - -/* {{{ mp_cmp(a, b) */ - -int mp_cmp(mp_int *a, mp_int *b) -{ - ARGCHK(a != NULL && b != NULL, MP_EQ); - - if(SIGN(a) == SIGN(b)) { - int mag; - - if((mag = s_mp_cmp(a, b)) == MP_EQ) - return MP_EQ; - - if(SIGN(a) == MP_ZPOS) - return mag; - else - return -mag; - - } else if(SIGN(a) == MP_ZPOS) { - return MP_GT; - } else { - return MP_LT; - } - -} /* end mp_cmp() */ - -/* }}} */ - -/* {{{ mp_cmp_mag(a, b) */ - -/* - mp_cmp_mag(a, b) - - Compares |a| <=> |b|, and returns an appropriate comparison result - */ - -int mp_cmp_mag(mp_int *a, mp_int *b) -{ - ARGCHK(a != NULL && b != NULL, MP_EQ); - - return s_mp_cmp(a, b); - -} /* end mp_cmp_mag() */ - -/* }}} */ - -/* {{{ mp_cmp_int(a, z) */ - -/* - This just converts z to an mp_int, and uses the existing comparison - routines. This is sort of inefficient, but it's not clear to me how - frequently this wil get used anyway. For small positive constants, - you can always use mp_cmp_d(), and for zero, there is mp_cmp_z(). - */ -int mp_cmp_int(mp_int *a, long z) -{ - mp_int tmp; - int out; - - ARGCHK(a != NULL, MP_EQ); - - mp_init(&tmp); mp_set_int(&tmp, z); - out = mp_cmp(a, &tmp); - mp_clear(&tmp); - - return out; - -} /* end mp_cmp_int() */ - -/* }}} */ - -/* {{{ mp_isodd(a) */ - -/* - mp_isodd(a) - - Returns a true (non-zero) value if a is odd, false (zero) otherwise. - */ -int mp_isodd(mp_int *a) -{ - ARGCHK(a != NULL, 0); - - return (DIGIT(a, 0) & 1); - -} /* end mp_isodd() */ - -/* }}} */ - -/* {{{ mp_iseven(a) */ - -int mp_iseven(mp_int *a) -{ - return !mp_isodd(a); - -} /* end mp_iseven() */ - -/* }}} */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* {{{ Number theoretic functions */ - -#if MP_NUMTH -/* {{{ mp_gcd(a, b, c) */ - -/* - Like the old mp_gcd() function, except computes the GCD using the - binary algorithm due to Josef Stein in 1961 (via Knuth). - */ -mp_err mp_gcd(mp_int *a, mp_int *b, mp_int *c) -{ - mp_err res; - mp_int u, v, t; - mp_size k = 0; - - ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); - - if(mp_cmp_z(a) == MP_EQ && mp_cmp_z(b) == MP_EQ) - return MP_RANGE; - if(mp_cmp_z(a) == MP_EQ) { - return mp_copy(b, c); - } else if(mp_cmp_z(b) == MP_EQ) { - return mp_copy(a, c); - } - - if((res = mp_init(&t)) != MP_OKAY) - return res; - if((res = mp_init_copy(&u, a)) != MP_OKAY) - goto U; - if((res = mp_init_copy(&v, b)) != MP_OKAY) - goto V; - - SIGN(&u) = MP_ZPOS; - SIGN(&v) = MP_ZPOS; - - /* Divide out common factors of 2 until at least 1 of a, b is even */ - while(mp_iseven(&u) && mp_iseven(&v)) { - s_mp_div_2(&u); - s_mp_div_2(&v); - ++k; - } - - /* Initialize t */ - if(mp_isodd(&u)) { - if((res = mp_copy(&v, &t)) != MP_OKAY) - goto CLEANUP; - - /* t = -v */ - if(SIGN(&v) == MP_ZPOS) - SIGN(&t) = MP_NEG; - else - SIGN(&t) = MP_ZPOS; - - } else { - if((res = mp_copy(&u, &t)) != MP_OKAY) - goto CLEANUP; - - } - - for(;;) { - while(mp_iseven(&t)) { - s_mp_div_2(&t); - } - - if(mp_cmp_z(&t) == MP_GT) { - if((res = mp_copy(&t, &u)) != MP_OKAY) - goto CLEANUP; - - } else { - if((res = mp_copy(&t, &v)) != MP_OKAY) - goto CLEANUP; - - /* v = -t */ - if(SIGN(&t) == MP_ZPOS) - SIGN(&v) = MP_NEG; - else - SIGN(&v) = MP_ZPOS; - } - - if((res = mp_sub(&u, &v, &t)) != MP_OKAY) - goto CLEANUP; - - if(s_mp_cmp_d(&t, 0) == MP_EQ) - break; - } - - s_mp_2expt(&v, k); /* v = 2^k */ - res = mp_mul(&u, &v, c); /* c = u * v */ - - CLEANUP: - mp_clear(&v); - V: - mp_clear(&u); - U: - mp_clear(&t); - - return res; - -} /* end mp_bgcd() */ - -/* }}} */ - -/* {{{ mp_lcm(a, b, c) */ - -/* We compute the least common multiple using the rule: - - ab = [a, b](a, b) - - ... by computing the product, and dividing out the gcd. - */ - -mp_err mp_lcm(mp_int *a, mp_int *b, mp_int *c) -{ - mp_int gcd, prod; - mp_err res; - - ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); - - /* Set up temporaries */ - if((res = mp_init(&gcd)) != MP_OKAY) - return res; - if((res = mp_init(&prod)) != MP_OKAY) - goto GCD; - - if((res = mp_mul(a, b, &prod)) != MP_OKAY) - goto CLEANUP; - if((res = mp_gcd(a, b, &gcd)) != MP_OKAY) - goto CLEANUP; - - res = mp_div(&prod, &gcd, c, NULL); - - CLEANUP: - mp_clear(&prod); - GCD: - mp_clear(&gcd); - - return res; - -} /* end mp_lcm() */ - -/* }}} */ - -/* {{{ mp_xgcd(a, b, g, x, y) */ - -/* - mp_xgcd(a, b, g, x, y) - - Compute g = (a, b) and values x and y satisfying Bezout's identity - (that is, ax + by = g). This uses the extended binary GCD algorithm - based on the Stein algorithm used for mp_gcd() - */ - -mp_err mp_xgcd(mp_int *a, mp_int *b, mp_int *g, mp_int *x, mp_int *y) -{ - mp_int gx, xc, yc, u, v, A, B, C, D; - mp_int *clean[9]; - mp_err res; - int last = -1; - - if(mp_cmp_z(b) == 0) - return MP_RANGE; - - /* Initialize all these variables we need */ - if((res = mp_init(&u)) != MP_OKAY) goto CLEANUP; - clean[++last] = &u; - if((res = mp_init(&v)) != MP_OKAY) goto CLEANUP; - clean[++last] = &v; - if((res = mp_init(&gx)) != MP_OKAY) goto CLEANUP; - clean[++last] = &gx; - if((res = mp_init(&A)) != MP_OKAY) goto CLEANUP; - clean[++last] = &A; - if((res = mp_init(&B)) != MP_OKAY) goto CLEANUP; - clean[++last] = &B; - if((res = mp_init(&C)) != MP_OKAY) goto CLEANUP; - clean[++last] = &C; - if((res = mp_init(&D)) != MP_OKAY) goto CLEANUP; - clean[++last] = &D; - if((res = mp_init_copy(&xc, a)) != MP_OKAY) goto CLEANUP; - clean[++last] = &xc; - mp_abs(&xc, &xc); - if((res = mp_init_copy(&yc, b)) != MP_OKAY) goto CLEANUP; - clean[++last] = &yc; - mp_abs(&yc, &yc); - - mp_set(&gx, 1); - - /* Divide by two until at least one of them is even */ - while(mp_iseven(&xc) && mp_iseven(&yc)) { - s_mp_div_2(&xc); - s_mp_div_2(&yc); - if((res = s_mp_mul_2(&gx)) != MP_OKAY) - goto CLEANUP; - } - - mp_copy(&xc, &u); - mp_copy(&yc, &v); - mp_set(&A, 1); mp_set(&D, 1); - - /* Loop through binary GCD algorithm */ - for(;;) { - while(mp_iseven(&u)) { - s_mp_div_2(&u); - - if(mp_iseven(&A) && mp_iseven(&B)) { - s_mp_div_2(&A); s_mp_div_2(&B); - } else { - if((res = mp_add(&A, &yc, &A)) != MP_OKAY) goto CLEANUP; - s_mp_div_2(&A); - if((res = mp_sub(&B, &xc, &B)) != MP_OKAY) goto CLEANUP; - s_mp_div_2(&B); - } - } - - while(mp_iseven(&v)) { - s_mp_div_2(&v); - - if(mp_iseven(&C) && mp_iseven(&D)) { - s_mp_div_2(&C); s_mp_div_2(&D); - } else { - if((res = mp_add(&C, &yc, &C)) != MP_OKAY) goto CLEANUP; - s_mp_div_2(&C); - if((res = mp_sub(&D, &xc, &D)) != MP_OKAY) goto CLEANUP; - s_mp_div_2(&D); - } - } - - if(mp_cmp(&u, &v) >= 0) { - if((res = mp_sub(&u, &v, &u)) != MP_OKAY) goto CLEANUP; - if((res = mp_sub(&A, &C, &A)) != MP_OKAY) goto CLEANUP; - if((res = mp_sub(&B, &D, &B)) != MP_OKAY) goto CLEANUP; - - } else { - if((res = mp_sub(&v, &u, &v)) != MP_OKAY) goto CLEANUP; - if((res = mp_sub(&C, &A, &C)) != MP_OKAY) goto CLEANUP; - if((res = mp_sub(&D, &B, &D)) != MP_OKAY) goto CLEANUP; - - } - - /* If we're done, copy results to output */ - if(mp_cmp_z(&u) == 0) { - if(x) - if((res = mp_copy(&C, x)) != MP_OKAY) goto CLEANUP; - - if(y) - if((res = mp_copy(&D, y)) != MP_OKAY) goto CLEANUP; - - if(g) - if((res = mp_mul(&gx, &v, g)) != MP_OKAY) goto CLEANUP; - - break; - } - } - - CLEANUP: - while(last >= 0) - mp_clear(clean[last--]); - - return res; - -} /* end mp_xgcd() */ - -/* }}} */ - -/* {{{ mp_invmod(a, m, c) */ - -/* - mp_invmod(a, m, c) - - Compute c = a^-1 (mod m), if there is an inverse for a (mod m). - This is equivalent to the question of whether (a, m) = 1. If not, - MP_UNDEF is returned, and there is no inverse. - */ - -mp_err mp_invmod(mp_int *a, mp_int *m, mp_int *c) -{ - mp_int g, x; - mp_err res; - - ARGCHK(a && m && c, MP_BADARG); - - if(mp_cmp_z(a) == 0 || mp_cmp_z(m) == 0) - return MP_RANGE; - - if((res = mp_init(&g)) != MP_OKAY) - return res; - if((res = mp_init(&x)) != MP_OKAY) - goto X; - - if((res = mp_xgcd(a, m, &g, &x, NULL)) != MP_OKAY) - goto CLEANUP; - - if(mp_cmp_d(&g, 1) != MP_EQ) { - res = MP_UNDEF; - goto CLEANUP; - } - - res = mp_mod(&x, m, c); - SIGN(c) = SIGN(a); - -CLEANUP: - mp_clear(&x); -X: - mp_clear(&g); - - return res; - -} /* end mp_invmod() */ - -/* }}} */ -#endif /* if MP_NUMTH */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* {{{ mp_print(mp, ofp) */ - -#if MP_IOFUNC -/* - mp_print(mp, ofp) - - Print a textual representation of the given mp_int on the output - stream 'ofp'. Output is generated using the internal radix. - */ - -void mp_print(mp_int *mp, FILE *ofp) -{ - int ix; - - if(mp == NULL || ofp == NULL) - return; - - fputc((SIGN(mp) == MP_NEG) ? '-' : '+', ofp); - - for(ix = USED(mp) - 1; ix >= 0; ix--) { - fprintf(ofp, DIGIT_FMT, DIGIT(mp, ix)); - } - -} /* end mp_print() */ - -#endif /* if MP_IOFUNC */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* {{{ More I/O Functions */ - -/* {{{ mp_read_signed_bin(mp, str, len) */ - -/* - mp_read_signed_bin(mp, str, len) - - Read in a raw value (base 256) into the given mp_int - */ - -mp_err mp_read_signed_bin(mp_int *mp, unsigned char *str, int len) -{ - mp_err res; - - ARGCHK(mp != NULL && str != NULL && len > 0, MP_BADARG); - - if((res = mp_read_unsigned_bin(mp, str + 1, len - 1)) == MP_OKAY) { - /* Get sign from first byte */ - if(str[0]) - SIGN(mp) = MP_NEG; - else - SIGN(mp) = MP_ZPOS; - } - - return res; - -} /* end mp_read_signed_bin() */ - -/* }}} */ - -/* {{{ mp_signed_bin_size(mp) */ - -int mp_signed_bin_size(mp_int *mp) -{ - ARGCHK(mp != NULL, 0); - - return mp_unsigned_bin_size(mp) + 1; - -} /* end mp_signed_bin_size() */ - -/* }}} */ - -/* {{{ mp_to_signed_bin(mp, str) */ - -mp_err mp_to_signed_bin(mp_int *mp, unsigned char *str) -{ - ARGCHK(mp != NULL && str != NULL, MP_BADARG); - - /* Caller responsible for allocating enough memory (use mp_raw_size(mp)) */ - str[0] = (char)SIGN(mp); - - return mp_to_unsigned_bin(mp, str + 1); - -} /* end mp_to_signed_bin() */ - -/* }}} */ - -/* {{{ mp_read_unsigned_bin(mp, str, len) */ - -/* - mp_read_unsigned_bin(mp, str, len) - - Read in an unsigned value (base 256) into the given mp_int - */ - -mp_err mp_read_unsigned_bin(mp_int *mp, unsigned char *str, int len) -{ - int ix; - mp_err res; - - ARGCHK(mp != NULL && str != NULL && len > 0, MP_BADARG); - - mp_zero(mp); - - for(ix = 0; ix < len; ix++) { - if((res = s_mp_mul_2d(mp, CHAR_BIT)) != MP_OKAY) - return res; - - if((res = mp_add_d(mp, str[ix], mp)) != MP_OKAY) - return res; - } - - return MP_OKAY; - -} /* end mp_read_unsigned_bin() */ - -/* }}} */ - -/* {{{ mp_unsigned_bin_size(mp) */ - -int mp_unsigned_bin_size(mp_int *mp) -{ - mp_digit topdig; - int count; - - ARGCHK(mp != NULL, 0); - - /* Special case for the value zero */ - if(USED(mp) == 1 && DIGIT(mp, 0) == 0) - return 1; - - count = (USED(mp) - 1) * sizeof(mp_digit); - topdig = DIGIT(mp, USED(mp) - 1); - - while(topdig != 0) { - ++count; - topdig >>= CHAR_BIT; - } - - return count; - -} /* end mp_unsigned_bin_size() */ - -/* }}} */ - -/* {{{ mp_to_unsigned_bin(mp, str) */ - -mp_err mp_to_unsigned_bin(mp_int *mp, unsigned char *str) -{ - mp_digit *dp, *end, d; - unsigned char *spos; - - ARGCHK(mp != NULL && str != NULL, MP_BADARG); - - dp = DIGITS(mp); - end = dp + USED(mp) - 1; - spos = str; - - /* Special case for zero, quick test */ - if(dp == end && *dp == 0) { - *str = '\0'; - return MP_OKAY; - } - - /* Generate digits in reverse order */ - while(dp < end) { - int ix; - - d = *dp; - for(ix = 0; ix < sizeof(mp_digit); ++ix) { - *spos = d & UCHAR_MAX; - d >>= CHAR_BIT; - ++spos; - } - - ++dp; - } - - /* Now handle last digit specially, high order zeroes are not written */ - d = *end; - while(d != 0) { - *spos = d & UCHAR_MAX; - d >>= CHAR_BIT; - ++spos; - } - - /* Reverse everything to get digits in the correct order */ - while(--spos > str) { - unsigned char t = *str; - *str = *spos; - *spos = t; - - ++str; - } - - return MP_OKAY; - -} /* end mp_to_unsigned_bin() */ - -/* }}} */ - -/* {{{ mp_count_bits(mp) */ - -int mp_count_bits(mp_int *mp) -{ - int len; - mp_digit d; - - ARGCHK(mp != NULL, MP_BADARG); - - len = DIGIT_BIT * (USED(mp) - 1); - d = DIGIT(mp, USED(mp) - 1); - - while(d != 0) { - ++len; - d >>= 1; - } - - return len; - -} /* end mp_count_bits() */ - -/* }}} */ - -/* {{{ mp_read_radix(mp, str, radix) */ - -/* - mp_read_radix(mp, str, radix) - - Read an integer from the given string, and set mp to the resulting - value. The input is presumed to be in base 10. Leading non-digit - characters are ignored, and the function reads until a non-digit - character or the end of the string. - */ - -mp_err mp_read_radix(mp_int *mp, unsigned char *str, int radix) -{ - int ix = 0, val = 0; - mp_err res; - mp_sign sig = MP_ZPOS; - - ARGCHK(mp != NULL && str != NULL && radix >= 2 && radix <= MAX_RADIX, - MP_BADARG); - - mp_zero(mp); - - /* Skip leading non-digit characters until a digit or '-' or '+' */ - while(str[ix] && - (s_mp_tovalue(str[ix], radix) < 0) && - str[ix] != '-' && - str[ix] != '+') { - ++ix; - } - - if(str[ix] == '-') { - sig = MP_NEG; - ++ix; - } else if(str[ix] == '+') { - sig = MP_ZPOS; /* this is the default anyway... */ - ++ix; - } - - while((val = s_mp_tovalue(str[ix], radix)) >= 0) { - if((res = s_mp_mul_d(mp, radix)) != MP_OKAY) - return res; - if((res = s_mp_add_d(mp, val)) != MP_OKAY) - return res; - ++ix; - } - - if(s_mp_cmp_d(mp, 0) == MP_EQ) - SIGN(mp) = MP_ZPOS; - else - SIGN(mp) = sig; - - return MP_OKAY; - -} /* end mp_read_radix() */ - -/* }}} */ - -/* {{{ mp_radix_size(mp, radix) */ - -int mp_radix_size(mp_int *mp, int radix) -{ - int len; - ARGCHK(mp != NULL, 0); - - len = s_mp_outlen(mp_count_bits(mp), radix) + 1; /* for NUL terminator */ - - if(mp_cmp_z(mp) < 0) - ++len; /* for sign */ - - return len; - -} /* end mp_radix_size() */ - -/* }}} */ - -/* {{{ mp_value_radix_size(num, qty, radix) */ - -/* num = number of digits - qty = number of bits per digit - radix = target base - - Return the number of digits in the specified radix that would be - needed to express 'num' digits of 'qty' bits each. - */ -int mp_value_radix_size(int num, int qty, int radix) -{ - ARGCHK(num >= 0 && qty > 0 && radix >= 2 && radix <= MAX_RADIX, 0); - - return s_mp_outlen(num * qty, radix); - -} /* end mp_value_radix_size() */ - -/* }}} */ - -/* {{{ mp_toradix(mp, str, radix) */ - -mp_err mp_toradix(mp_int *mp, unsigned char *str, int radix) -{ - int ix, pos = 0; - - ARGCHK(mp != NULL && str != NULL, MP_BADARG); - ARGCHK(radix > 1 && radix <= MAX_RADIX, MP_RANGE); - - if(mp_cmp_z(mp) == MP_EQ) { - str[0] = '0'; - str[1] = '\0'; - } else { - mp_err res; - mp_int tmp; - mp_sign sgn; - mp_digit rem, rdx = (mp_digit)radix; - char ch; - - if((res = mp_init_copy(&tmp, mp)) != MP_OKAY) - return res; - - /* Save sign for later, and take absolute value */ - sgn = SIGN(&tmp); SIGN(&tmp) = MP_ZPOS; - - /* Generate output digits in reverse order */ - while(mp_cmp_z(&tmp) != 0) { - if((res = s_mp_div_d(&tmp, rdx, &rem)) != MP_OKAY) { - mp_clear(&tmp); - return res; - } - - /* Generate digits, use capital letters */ - ch = s_mp_todigit(rem, radix, 0); - - str[pos++] = ch; - } - - /* Add - sign if original value was negative */ - if(sgn == MP_NEG) - str[pos++] = '-'; - - /* Add trailing NUL to end the string */ - str[pos--] = '\0'; - - /* Reverse the digits and sign indicator */ - ix = 0; - while(ix < pos) { - char tmp = str[ix]; - - str[ix] = str[pos]; - str[pos] = tmp; - ++ix; - --pos; - } - - mp_clear(&tmp); - } - - return MP_OKAY; - -} /* end mp_toradix() */ - -/* }}} */ - -/* {{{ mp_char2value(ch, r) */ - -int mp_char2value(char ch, int r) -{ - return s_mp_tovalue(ch, r); - -} /* end mp_tovalue() */ - -/* }}} */ - -/* }}} */ - -/* {{{ mp_strerror(ec) */ - -/* - mp_strerror(ec) - - Return a string describing the meaning of error code 'ec'. The - string returned is allocated in static memory, so the caller should - not attempt to modify or free the memory associated with this - string. - */ -const char *mp_strerror(mp_err ec) -{ - int aec = (ec < 0) ? -ec : ec; - - /* Code values are negative, so the senses of these comparisons - are accurate */ - if(ec < MP_LAST_CODE || ec > MP_OKAY) { - return mp_err_string[0]; /* unknown error code */ - } else { - return mp_err_string[aec + 1]; - } - -} /* end mp_strerror() */ - -/* }}} */ - -/*========================================================================*/ -/*------------------------------------------------------------------------*/ -/* Static function definitions (internal use only) */ - -/* {{{ Memory management */ - -/* {{{ s_mp_grow(mp, min) */ - -/* Make sure there are at least 'min' digits allocated to mp */ -mp_err s_mp_grow(mp_int *mp, mp_size min) -{ - if(min > ALLOC(mp)) { - mp_digit *tmp; - - /* Set min to next nearest default precision block size */ - min = ((min + (s_mp_defprec - 1)) / s_mp_defprec) * s_mp_defprec; - - if((tmp = s_mp_alloc(min, sizeof(mp_digit))) == NULL) - return MP_MEM; - - s_mp_copy(DIGITS(mp), tmp, USED(mp)); - -#if MP_CRYPTO - s_mp_setz(DIGITS(mp), ALLOC(mp)); -#endif - s_mp_free(DIGITS(mp)); - DIGITS(mp) = tmp; - ALLOC(mp) = min; - } - - return MP_OKAY; - -} /* end s_mp_grow() */ - -/* }}} */ - -/* {{{ s_mp_pad(mp, min) */ - -/* Make sure the used size of mp is at least 'min', growing if needed */ -mp_err s_mp_pad(mp_int *mp, mp_size min) -{ - if(min > USED(mp)) { - mp_err res; - - /* Make sure there is room to increase precision */ - if(min > ALLOC(mp) && (res = s_mp_grow(mp, min)) != MP_OKAY) - return res; - - /* Increase precision; should already be 0-filled */ - USED(mp) = min; - } - - return MP_OKAY; - -} /* end s_mp_pad() */ - -/* }}} */ - -/* {{{ s_mp_setz(dp, count) */ - -#if MP_MACRO == 0 -/* Set 'count' digits pointed to by dp to be zeroes */ -void s_mp_setz(mp_digit *dp, mp_size count) -{ -#if MP_MEMSET == 0 - int ix; - - for(ix = 0; ix < count; ix++) - dp[ix] = 0; -#else - memset(dp, 0, count * sizeof(mp_digit)); -#endif - -} /* end s_mp_setz() */ -#endif - -/* }}} */ - -/* {{{ s_mp_copy(sp, dp, count) */ - -#if MP_MACRO == 0 -/* Copy 'count' digits from sp to dp */ -void s_mp_copy(mp_digit *sp, mp_digit *dp, mp_size count) -{ -#if MP_MEMCPY == 0 - int ix; - - for(ix = 0; ix < count; ix++) - dp[ix] = sp[ix]; -#else - memcpy(dp, sp, count * sizeof(mp_digit)); -#endif - -} /* end s_mp_copy() */ -#endif - -/* }}} */ - -/* {{{ s_mp_alloc(nb, ni) */ - -#if MP_MACRO == 0 -/* Allocate ni records of nb bytes each, and return a pointer to that */ -void *s_mp_alloc(size_t nb, size_t ni) -{ - return calloc(nb, ni); - -} /* end s_mp_alloc() */ -#endif - -/* }}} */ - -/* {{{ s_mp_free(ptr) */ - -#if MP_MACRO == 0 -/* Free the memory pointed to by ptr */ -void s_mp_free(void *ptr) -{ - if(ptr) - free(ptr); - -} /* end s_mp_free() */ -#endif - -/* }}} */ - -/* {{{ s_mp_clamp(mp) */ - -/* Remove leading zeroes from the given value */ -void s_mp_clamp(mp_int *mp) -{ - mp_size du = USED(mp); - mp_digit *zp = DIGITS(mp) + du - 1; - - while(du > 1 && !*zp--) - --du; - - USED(mp) = du; - -} /* end s_mp_clamp() */ - - -/* }}} */ - -/* {{{ s_mp_exch(a, b) */ - -/* Exchange the data for a and b; (b, a) = (a, b) */ -void s_mp_exch(mp_int *a, mp_int *b) -{ - mp_int tmp; - - tmp = *a; - *a = *b; - *b = tmp; - -} /* end s_mp_exch() */ - -/* }}} */ - -/* }}} */ - -/* {{{ Arithmetic helpers */ - -/* {{{ s_mp_lshd(mp, p) */ - -/* - Shift mp leftward by p digits, growing if needed, and zero-filling - the in-shifted digits at the right end. This is a convenient - alternative to multiplication by powers of the radix - */ - -mp_err s_mp_lshd(mp_int *mp, mp_size p) -{ - mp_err res; - mp_size pos; - mp_digit *dp; - int ix; - - if(p == 0) - return MP_OKAY; - - if((res = s_mp_pad(mp, USED(mp) + p)) != MP_OKAY) - return res; - - pos = USED(mp) - 1; - dp = DIGITS(mp); - - /* Shift all the significant figures over as needed */ - for(ix = pos - p; ix >= 0; ix--) - dp[ix + p] = dp[ix]; - - /* Fill the bottom digits with zeroes */ - for(ix = 0; ix < p; ix++) - dp[ix] = 0; - - return MP_OKAY; - -} /* end s_mp_lshd() */ - -/* }}} */ - -/* {{{ s_mp_rshd(mp, p) */ - -/* - Shift mp rightward by p digits. Maintains the invariant that - digits above the precision are all zero. Digits shifted off the - end are lost. Cannot fail. - */ - -void s_mp_rshd(mp_int *mp, mp_size p) -{ - mp_size ix; - mp_digit *dp; - - if(p == 0) - return; - - /* Shortcut when all digits are to be shifted off */ - if(p >= USED(mp)) { - s_mp_setz(DIGITS(mp), ALLOC(mp)); - USED(mp) = 1; - SIGN(mp) = MP_ZPOS; - return; - } - - /* Shift all the significant figures over as needed */ - dp = DIGITS(mp); - for(ix = p; ix < USED(mp); ix++) - dp[ix - p] = dp[ix]; - - /* Fill the top digits with zeroes */ - ix -= p; - while(ix < USED(mp)) - dp[ix++] = 0; - - /* Strip off any leading zeroes */ - s_mp_clamp(mp); - -} /* end s_mp_rshd() */ - -/* }}} */ - -/* {{{ s_mp_div_2(mp) */ - -/* Divide by two -- take advantage of radix properties to do it fast */ -void s_mp_div_2(mp_int *mp) -{ - s_mp_div_2d(mp, 1); - -} /* end s_mp_div_2() */ - -/* }}} */ - -/* {{{ s_mp_mul_2(mp) */ - -mp_err s_mp_mul_2(mp_int *mp) -{ - int ix; - mp_digit kin = 0, kout, *dp = DIGITS(mp); - mp_err res; - - /* Shift digits leftward by 1 bit */ - for(ix = 0; ix < USED(mp); ix++) { - kout = (dp[ix] >> (DIGIT_BIT - 1)) & 1; - dp[ix] = (dp[ix] << 1) | kin; - - kin = kout; - } - - /* Deal with rollover from last digit */ - if(kin) { - if(ix >= ALLOC(mp)) { - if((res = s_mp_grow(mp, ALLOC(mp) + 1)) != MP_OKAY) - return res; - dp = DIGITS(mp); - } - - dp[ix] = kin; - USED(mp) += 1; - } - - return MP_OKAY; - -} /* end s_mp_mul_2() */ - -/* }}} */ - -/* {{{ s_mp_mod_2d(mp, d) */ - -/* - Remainder the integer by 2^d, where d is a number of bits. This - amounts to a bitwise AND of the value, and does not require the full - division code - */ -void s_mp_mod_2d(mp_int *mp, mp_digit d) -{ - unsigned int ndig = (d / DIGIT_BIT), nbit = (d % DIGIT_BIT); - unsigned int ix; - mp_digit dmask, *dp = DIGITS(mp); - - if(ndig >= USED(mp)) - return; - - /* Flush all the bits above 2^d in its digit */ - dmask = (1 << nbit) - 1; - dp[ndig] &= dmask; - - /* Flush all digits above the one with 2^d in it */ - for(ix = ndig + 1; ix < USED(mp); ix++) - dp[ix] = 0; - - s_mp_clamp(mp); - -} /* end s_mp_mod_2d() */ - -/* }}} */ - -/* {{{ s_mp_mul_2d(mp, d) */ - -/* - Multiply by the integer 2^d, where d is a number of bits. This - amounts to a bitwise shift of the value, and does not require the - full multiplication code. - */ -mp_err s_mp_mul_2d(mp_int *mp, mp_digit d) -{ - mp_err res; - mp_digit save, next, mask, *dp; - mp_size used; - int ix; - - if((res = s_mp_lshd(mp, d / DIGIT_BIT)) != MP_OKAY) - return res; - - dp = DIGITS(mp); used = USED(mp); - d %= DIGIT_BIT; - - mask = (1 << d) - 1; - - /* If the shift requires another digit, make sure we've got one to - work with */ - if((dp[used - 1] >> (DIGIT_BIT - d)) & mask) { - if((res = s_mp_grow(mp, used + 1)) != MP_OKAY) - return res; - dp = DIGITS(mp); - } - - /* Do the shifting... */ - save = 0; - for(ix = 0; ix < used; ix++) { - next = (dp[ix] >> (DIGIT_BIT - d)) & mask; - dp[ix] = (dp[ix] << d) | save; - save = next; - } - - /* If, at this point, we have a nonzero carryout into the next - digit, we'll increase the size by one digit, and store it... - */ - if(save) { - dp[used] = save; - USED(mp) += 1; - } - - s_mp_clamp(mp); - return MP_OKAY; - -} /* end s_mp_mul_2d() */ - -/* }}} */ - -/* {{{ s_mp_div_2d(mp, d) */ - -/* - Divide the integer by 2^d, where d is a number of bits. This - amounts to a bitwise shift of the value, and does not require the - full division code (used in Barrett reduction, see below) - */ -void s_mp_div_2d(mp_int *mp, mp_digit d) -{ - int ix; - mp_digit save, next, mask, *dp = DIGITS(mp); - - s_mp_rshd(mp, d / DIGIT_BIT); - d %= DIGIT_BIT; - - mask = (1 << d) - 1; - - save = 0; - for(ix = USED(mp) - 1; ix >= 0; ix--) { - next = dp[ix] & mask; - dp[ix] = (dp[ix] >> d) | (save << (DIGIT_BIT - d)); - save = next; - } - - s_mp_clamp(mp); - -} /* end s_mp_div_2d() */ - -/* }}} */ - -/* {{{ s_mp_norm(a, b) */ - -/* - s_mp_norm(a, b) - - Normalize a and b for division, where b is the divisor. In order - that we might make good guesses for quotient digits, we want the - leading digit of b to be at least half the radix, which we - accomplish by multiplying a and b by a constant. This constant is - returned (so that it can be divided back out of the remainder at the - end of the division process). - - We multiply by the smallest power of 2 that gives us a leading digit - at least half the radix. By choosing a power of 2, we simplify the - multiplication and division steps to simple shifts. - */ -mp_digit s_mp_norm(mp_int *a, mp_int *b) -{ - mp_digit t, d = 0; - - t = DIGIT(b, USED(b) - 1); - while(t < (RADIX / 2)) { - t <<= 1; - ++d; - } - - if(d != 0) { - s_mp_mul_2d(a, d); - s_mp_mul_2d(b, d); - } - - return d; - -} /* end s_mp_norm() */ - -/* }}} */ - -/* }}} */ - -/* {{{ Primitive digit arithmetic */ - -/* {{{ s_mp_add_d(mp, d) */ - -/* Add d to |mp| in place */ -mp_err s_mp_add_d(mp_int *mp, mp_digit d) /* unsigned digit addition */ -{ - mp_word w, k = 0; - mp_size ix = 1, used = USED(mp); - mp_digit *dp = DIGITS(mp); - - w = dp[0] + d; - dp[0] = ACCUM(w); - k = CARRYOUT(w); - - while(ix < used && k) { - w = dp[ix] + k; - dp[ix] = ACCUM(w); - k = CARRYOUT(w); - ++ix; - } - - if(k != 0) { - mp_err res; - - if((res = s_mp_pad(mp, USED(mp) + 1)) != MP_OKAY) - return res; - - DIGIT(mp, ix) = k; - } - - return MP_OKAY; - -} /* end s_mp_add_d() */ - -/* }}} */ - -/* {{{ s_mp_sub_d(mp, d) */ - -/* Subtract d from |mp| in place, assumes |mp| > d */ -mp_err s_mp_sub_d(mp_int *mp, mp_digit d) /* unsigned digit subtract */ -{ - mp_word w, b = 0; - mp_size ix = 1, used = USED(mp); - mp_digit *dp = DIGITS(mp); - - /* Compute initial subtraction */ - w = (RADIX + dp[0]) - d; - b = CARRYOUT(w) ? 0 : 1; - dp[0] = ACCUM(w); - - /* Propagate borrows leftward */ - while(b && ix < used) { - w = (RADIX + dp[ix]) - b; - b = CARRYOUT(w) ? 0 : 1; - dp[ix] = ACCUM(w); - ++ix; - } - - /* Remove leading zeroes */ - s_mp_clamp(mp); - - /* If we have a borrow out, it's a violation of the input invariant */ - if(b) - return MP_RANGE; - else - return MP_OKAY; - -} /* end s_mp_sub_d() */ - -/* }}} */ - -/* {{{ s_mp_mul_d(a, d) */ - -/* Compute a = a * d, single digit multiplication */ -mp_err s_mp_mul_d(mp_int *a, mp_digit d) -{ - mp_word w, k = 0; - mp_size ix, max; - mp_err res; - mp_digit *dp = DIGITS(a); - - /* - Single-digit multiplication will increase the precision of the - output by at most one digit. However, we can detect when this - will happen -- if the high-order digit of a, times d, gives a - two-digit result, then the precision of the result will increase; - otherwise it won't. We use this fact to avoid calling s_mp_pad() - unless absolutely necessary. - */ - max = USED(a); - w = dp[max - 1] * d; - if(CARRYOUT(w) != 0) { - if((res = s_mp_pad(a, max + 1)) != MP_OKAY) - return res; - dp = DIGITS(a); - } - - for(ix = 0; ix < max; ix++) { - w = (dp[ix] * d) + k; - dp[ix] = ACCUM(w); - k = CARRYOUT(w); - } - - /* If there is a precision increase, take care of it here; the above - test guarantees we have enough storage to do this safely. - */ - if(k) { - dp[max] = k; - USED(a) = max + 1; - } - - s_mp_clamp(a); - - return MP_OKAY; - -} /* end s_mp_mul_d() */ - -/* }}} */ - -/* {{{ s_mp_div_d(mp, d, r) */ - -/* - s_mp_div_d(mp, d, r) - - Compute the quotient mp = mp / d and remainder r = mp mod d, for a - single digit d. If r is null, the remainder will be discarded. - */ - -mp_err s_mp_div_d(mp_int *mp, mp_digit d, mp_digit *r) -{ - mp_word w = 0, t; - mp_int quot; - mp_err res; - mp_digit *dp = DIGITS(mp), *qp; - int ix; - - if(d == 0) - return MP_RANGE; - - /* Make room for the quotient */ - if((res = mp_init_size(", USED(mp))) != MP_OKAY) - return res; - - USED(") = USED(mp); /* so clamping will work below */ - qp = DIGITS("); - - /* Divide without subtraction */ - for(ix = USED(mp) - 1; ix >= 0; ix--) { - w = (w << DIGIT_BIT) | dp[ix]; - - if(w >= d) { - t = w / d; - w = w % d; - } else { - t = 0; - } - - qp[ix] = t; - } - - /* Deliver the remainder, if desired */ - if(r) - *r = w; - - s_mp_clamp("); - mp_exch(", mp); - mp_clear("); - - return MP_OKAY; - -} /* end s_mp_div_d() */ - -/* }}} */ - -/* }}} */ - -/* {{{ Primitive full arithmetic */ - -/* {{{ s_mp_add(a, b) */ - -/* Compute a = |a| + |b| */ -mp_err s_mp_add(mp_int *a, mp_int *b) /* magnitude addition */ -{ - mp_word w = 0; - mp_digit *pa, *pb; - mp_size ix, used = USED(b); - mp_err res; - - /* Make sure a has enough precision for the output value */ - if((used > USED(a)) && (res = s_mp_pad(a, used)) != MP_OKAY) - return res; - - /* - Add up all digits up to the precision of b. If b had initially - the same precision as a, or greater, we took care of it by the - padding step above, so there is no problem. If b had initially - less precision, we'll have to make sure the carry out is duly - propagated upward among the higher-order digits of the sum. - */ - pa = DIGITS(a); - pb = DIGITS(b); - for(ix = 0; ix < used; ++ix) { - w += *pa + *pb++; - *pa++ = ACCUM(w); - w = CARRYOUT(w); - } - - /* If we run out of 'b' digits before we're actually done, make - sure the carries get propagated upward... - */ - used = USED(a); - while(w && ix < used) { - w += *pa; - *pa++ = ACCUM(w); - w = CARRYOUT(w); - ++ix; - } - - /* If there's an overall carry out, increase precision and include - it. We could have done this initially, but why touch the memory - allocator unless we're sure we have to? - */ - if(w) { - if((res = s_mp_pad(a, used + 1)) != MP_OKAY) - return res; - - DIGIT(a, ix) = w; /* pa may not be valid after s_mp_pad() call */ - } - - return MP_OKAY; - -} /* end s_mp_add() */ - -/* }}} */ - -/* {{{ s_mp_sub(a, b) */ - -/* Compute a = |a| - |b|, assumes |a| >= |b| */ -mp_err s_mp_sub(mp_int *a, mp_int *b) /* magnitude subtract */ -{ - mp_word w = 0; - mp_digit *pa, *pb; - mp_size ix, used = USED(b); - - /* - Subtract and propagate borrow. Up to the precision of b, this - accounts for the digits of b; after that, we just make sure the - carries get to the right place. This saves having to pad b out to - the precision of a just to make the loops work right... - */ - pa = DIGITS(a); - pb = DIGITS(b); - - for(ix = 0; ix < used; ++ix) { - w = (RADIX + *pa) - w - *pb++; - *pa++ = ACCUM(w); - w = CARRYOUT(w) ? 0 : 1; - } - - used = USED(a); - while(ix < used) { - w = RADIX + *pa - w; - *pa++ = ACCUM(w); - w = CARRYOUT(w) ? 0 : 1; - ++ix; - } - - /* Clobber any leading zeroes we created */ - s_mp_clamp(a); - - /* - If there was a borrow out, then |b| > |a| in violation - of our input invariant. We've already done the work, - but we'll at least complain about it... - */ - if(w) - return MP_RANGE; - else - return MP_OKAY; - -} /* end s_mp_sub() */ - -/* }}} */ - -mp_err s_mp_reduce(mp_int *x, mp_int *m, mp_int *mu) -{ - mp_int q; - mp_err res; - mp_size um = USED(m); - - if((res = mp_init_copy(&q, x)) != MP_OKAY) - return res; - - s_mp_rshd(&q, um - 1); /* q1 = x / b^(k-1) */ - s_mp_mul(&q, mu); /* q2 = q1 * mu */ - s_mp_rshd(&q, um + 1); /* q3 = q2 / b^(k+1) */ - - /* x = x mod b^(k+1), quick (no division) */ - s_mp_mod_2d(x, (mp_digit)(DIGIT_BIT * (um + 1))); - - /* q = q * m mod b^(k+1), quick (no division), uses the short multiplier */ -#ifndef SHRT_MUL - s_mp_mul(&q, m); - s_mp_mod_2d(&q, (mp_digit)(DIGIT_BIT * (um + 1))); -#else - s_mp_mul_dig(&q, m, um + 1); -#endif - - /* x = x - q */ - if((res = mp_sub(x, &q, x)) != MP_OKAY) - goto CLEANUP; - - /* If x < 0, add b^(k+1) to it */ - if(mp_cmp_z(x) < 0) { - mp_set(&q, 1); - if((res = s_mp_lshd(&q, um + 1)) != MP_OKAY) - goto CLEANUP; - if((res = mp_add(x, &q, x)) != MP_OKAY) - goto CLEANUP; - } - - /* Back off if it's too big */ - while(mp_cmp(x, m) >= 0) { - if((res = s_mp_sub(x, m)) != MP_OKAY) - break; - } - - CLEANUP: - mp_clear(&q); - - return res; - -} /* end s_mp_reduce() */ - - - -/* {{{ s_mp_mul(a, b) */ - -/* Compute a = |a| * |b| */ -mp_err s_mp_mul(mp_int *a, mp_int *b) -{ - mp_word w, k = 0; - mp_int tmp; - mp_err res; - mp_size ix, jx, ua = USED(a), ub = USED(b); - mp_digit *pa, *pb, *pt, *pbt; - - if((res = mp_init_size(&tmp, ua + ub)) != MP_OKAY) - return res; - - /* This has the effect of left-padding with zeroes... */ - USED(&tmp) = ua + ub; - - /* We're going to need the base value each iteration */ - pbt = DIGITS(&tmp); - - /* Outer loop: Digits of b */ - - pb = DIGITS(b); - for(ix = 0; ix < ub; ++ix, ++pb) { - if(*pb == 0) - continue; - - /* Inner product: Digits of a */ - pa = DIGITS(a); - for(jx = 0; jx < ua; ++jx, ++pa) { - pt = pbt + ix + jx; - w = *pb * *pa + k + *pt; - *pt = ACCUM(w); - k = CARRYOUT(w); - } - - pbt[ix + jx] = k; - k = 0; - } - - s_mp_clamp(&tmp); - s_mp_exch(&tmp, a); - - mp_clear(&tmp); - - return MP_OKAY; - -} /* end s_mp_mul() */ - -/* }}} */ - -/* {{{ s_mp_kmul(a, b, out, len) */ - -#if 0 -void s_mp_kmul(mp_digit *a, mp_digit *b, mp_digit *out, mp_size len) -{ - mp_word w, k = 0; - mp_size ix, jx; - mp_digit *pa, *pt; - - for(ix = 0; ix < len; ++ix, ++b) { - if(*b == 0) - continue; - - pa = a; - for(jx = 0; jx < len; ++jx, ++pa) { - pt = out + ix + jx; - w = *b * *pa + k + *pt; - *pt = ACCUM(w); - k = CARRYOUT(w); - } - - out[ix + jx] = k; - k = 0; - } - -} /* end s_mp_kmul() */ -#endif - -/* }}} */ - -/* {{{ s_mp_sqr(a) */ - -/* - Computes the square of a, in place. This can be done more - efficiently than a general multiplication, because many of the - computation steps are redundant when squaring. The inner product - step is a bit more complicated, but we save a fair number of - iterations of the multiplication loop. - */ -#if MP_SQUARE -mp_err s_mp_sqr(mp_int *a) -{ - mp_word w, k = 0; - mp_int tmp; - mp_err res; - mp_size ix, jx, kx, used = USED(a); - mp_digit *pa1, *pa2, *pt, *pbt; - - if((res = mp_init_size(&tmp, 2 * used)) != MP_OKAY) - return res; - - /* Left-pad with zeroes */ - USED(&tmp) = 2 * used; - - /* We need the base value each time through the loop */ - pbt = DIGITS(&tmp); - - pa1 = DIGITS(a); - for(ix = 0; ix < used; ++ix, ++pa1) { - if(*pa1 == 0) - continue; - - w = DIGIT(&tmp, ix + ix) + (*pa1 * *pa1); - - pbt[ix + ix] = ACCUM(w); - k = CARRYOUT(w); - - /* - The inner product is computed as: - - (C, S) = t[i,j] + 2 a[i] a[j] + C - - This can overflow what can be represented in an mp_word, and - since C arithmetic does not provide any way to check for - overflow, we have to check explicitly for overflow conditions - before they happen. - */ - for(jx = ix + 1, pa2 = DIGITS(a) + jx; jx < used; ++jx, ++pa2) { - mp_word u = 0, v; - - /* Store this in a temporary to avoid indirections later */ - pt = pbt + ix + jx; - - /* Compute the multiplicative step */ - w = *pa1 * *pa2; - - /* If w is more than half MP_WORD_MAX, the doubling will - overflow, and we need to record a carry out into the next - word */ - u = (w >> (MP_WORD_BIT - 1)) & 1; - - /* Double what we've got, overflow will be ignored as defined - for C arithmetic (we've already noted if it is to occur) - */ - w *= 2; - - /* Compute the additive step */ - v = *pt + k; - - /* If we do not already have an overflow carry, check to see - if the addition will cause one, and set the carry out if so - */ - u |= ((MP_WORD_MAX - v) < w); - - /* Add in the rest, again ignoring overflow */ - w += v; - - /* Set the i,j digit of the output */ - *pt = ACCUM(w); - - /* Save carry information for the next iteration of the loop. - This is why k must be an mp_word, instead of an mp_digit */ - k = CARRYOUT(w) | (u << DIGIT_BIT); - - } /* for(jx ...) */ - - /* Set the last digit in the cycle and reset the carry */ - k = DIGIT(&tmp, ix + jx) + k; - pbt[ix + jx] = ACCUM(k); - k = CARRYOUT(k); - - /* If we are carrying out, propagate the carry to the next digit - in the output. This may cascade, so we have to be somewhat - circumspect -- but we will have enough precision in the output - that we won't overflow - */ - kx = 1; - while(k) { - k = pbt[ix + jx + kx] + 1; - pbt[ix + jx + kx] = ACCUM(k); - k = CARRYOUT(k); - ++kx; - } - } /* for(ix ...) */ - - s_mp_clamp(&tmp); - s_mp_exch(&tmp, a); - - mp_clear(&tmp); - - return MP_OKAY; - -} /* end s_mp_sqr() */ -#endif - -/* }}} */ - -/* {{{ s_mp_div(a, b) */ - -/* - s_mp_div(a, b) - - Compute a = a / b and b = a mod b. Assumes b > a. - */ - -mp_err s_mp_div(mp_int *a, mp_int *b) -{ - mp_int quot, rem, t; - mp_word q; - mp_err res; - mp_digit d; - int ix; - - if(mp_cmp_z(b) == 0) - return MP_RANGE; - - /* Shortcut if b is power of two */ - if((ix = s_mp_ispow2(b)) >= 0) { - mp_copy(a, b); /* need this for remainder */ - s_mp_div_2d(a, (mp_digit)ix); - s_mp_mod_2d(b, (mp_digit)ix); - - return MP_OKAY; - } - - /* Allocate space to store the quotient */ - if((res = mp_init_size(", USED(a))) != MP_OKAY) - return res; - - /* A working temporary for division */ - if((res = mp_init_size(&t, USED(a))) != MP_OKAY) - goto T; - - /* Allocate space for the remainder */ - if((res = mp_init_size(&rem, USED(a))) != MP_OKAY) - goto REM; - - /* Normalize to optimize guessing */ - d = s_mp_norm(a, b); - - /* Perform the division itself...woo! */ - ix = USED(a) - 1; - - while(ix >= 0) { - /* Find a partial substring of a which is at least b */ - while(s_mp_cmp(&rem, b) < 0 && ix >= 0) { - if((res = s_mp_lshd(&rem, 1)) != MP_OKAY) - goto CLEANUP; - - if((res = s_mp_lshd(", 1)) != MP_OKAY) - goto CLEANUP; - - DIGIT(&rem, 0) = DIGIT(a, ix); - s_mp_clamp(&rem); - --ix; - } - - /* If we didn't find one, we're finished dividing */ - if(s_mp_cmp(&rem, b) < 0) - break; - - /* Compute a guess for the next quotient digit */ - q = DIGIT(&rem, USED(&rem) - 1); - if(q <= DIGIT(b, USED(b) - 1) && USED(&rem) > 1) - q = (q << DIGIT_BIT) | DIGIT(&rem, USED(&rem) - 2); - - q /= DIGIT(b, USED(b) - 1); - - /* The guess can be as much as RADIX + 1 */ - if(q >= RADIX) - q = RADIX - 1; - - /* See what that multiplies out to */ - mp_copy(b, &t); - if((res = s_mp_mul_d(&t, q)) != MP_OKAY) - goto CLEANUP; - - /* - If it's too big, back it off. We should not have to do this - more than once, or, in rare cases, twice. Knuth describes a - method by which this could be reduced to a maximum of once, but - I didn't implement that here. - */ - while(s_mp_cmp(&t, &rem) > 0) { - --q; - s_mp_sub(&t, b); - } - - /* At this point, q should be the right next digit */ - if((res = s_mp_sub(&rem, &t)) != MP_OKAY) - goto CLEANUP; - - /* - Include the digit in the quotient. We allocated enough memory - for any quotient we could ever possibly get, so we should not - have to check for failures here - */ - DIGIT(", 0) = q; - } - - /* Denormalize remainder */ - if(d != 0) - s_mp_div_2d(&rem, d); - - s_mp_clamp("); - s_mp_clamp(&rem); - - /* Copy quotient back to output */ - s_mp_exch(", a); - - /* Copy remainder back to output */ - s_mp_exch(&rem, b); - -CLEANUP: - mp_clear(&rem); -REM: - mp_clear(&t); -T: - mp_clear("); - - return res; - -} /* end s_mp_div() */ - -/* }}} */ - -/* {{{ s_mp_2expt(a, k) */ - -mp_err s_mp_2expt(mp_int *a, mp_digit k) -{ - mp_err res; - mp_size dig, bit; - - dig = k / DIGIT_BIT; - bit = k % DIGIT_BIT; - - mp_zero(a); - if((res = s_mp_pad(a, dig + 1)) != MP_OKAY) - return res; - - DIGIT(a, dig) |= (1 << bit); - - return MP_OKAY; - -} /* end s_mp_2expt() */ - -/* }}} */ - - -/* }}} */ - -/* }}} */ - -/* {{{ Primitive comparisons */ - -/* {{{ s_mp_cmp(a, b) */ - -/* Compare |a| <=> |b|, return 0 if equal, <0 if a0 if a>b */ -int s_mp_cmp(mp_int *a, mp_int *b) -{ - mp_size ua = USED(a), ub = USED(b); - - if(ua > ub) - return MP_GT; - else if(ua < ub) - return MP_LT; - else { - int ix = ua - 1; - mp_digit *ap = DIGITS(a) + ix, *bp = DIGITS(b) + ix; - - while(ix >= 0) { - if(*ap > *bp) - return MP_GT; - else if(*ap < *bp) - return MP_LT; - - --ap; --bp; --ix; - } - - return MP_EQ; - } - -} /* end s_mp_cmp() */ - -/* }}} */ - -/* {{{ s_mp_cmp_d(a, d) */ - -/* Compare |a| <=> d, return 0 if equal, <0 if a0 if a>d */ -int s_mp_cmp_d(mp_int *a, mp_digit d) -{ - mp_size ua = USED(a); - mp_digit *ap = DIGITS(a); - - if(ua > 1) - return MP_GT; - - if(*ap < d) - return MP_LT; - else if(*ap > d) - return MP_GT; - else - return MP_EQ; - -} /* end s_mp_cmp_d() */ - -/* }}} */ - -/* {{{ s_mp_ispow2(v) */ - -/* - Returns -1 if the value is not a power of two; otherwise, it returns - k such that v = 2^k, i.e. lg(v). - */ -int s_mp_ispow2(mp_int *v) -{ - mp_digit d, *dp; - mp_size uv = USED(v); - int extra = 0, ix; - - d = DIGIT(v, uv - 1); /* most significant digit of v */ - - while(d && ((d & 1) == 0)) { - d >>= 1; - ++extra; - } - - if(d == 1) { - ix = uv - 2; - dp = DIGITS(v) + ix; - - while(ix >= 0) { - if(*dp) - return -1; /* not a power of two */ - - --dp; --ix; - } - - return ((uv - 1) * DIGIT_BIT) + extra; - } - - return -1; - -} /* end s_mp_ispow2() */ - -/* }}} */ - -/* {{{ s_mp_ispow2d(d) */ - -int s_mp_ispow2d(mp_digit d) -{ - int pow = 0; - - while((d & 1) == 0) { - ++pow; d >>= 1; - } - - if(d == 1) - return pow; - - return -1; - -} /* end s_mp_ispow2d() */ - -/* }}} */ - -/* }}} */ - -/* {{{ Primitive I/O helpers */ - -/* {{{ s_mp_tovalue(ch, r) */ - -/* - Convert the given character to its digit value, in the given radix. - If the given character is not understood in the given radix, -1 is - returned. Otherwise the digit's numeric value is returned. - - The results will be odd if you use a radix < 2 or > 62, you are - expected to know what you're up to. - */ -int s_mp_tovalue(char ch, int r) -{ - int val, xch; - - if(r > 36) - xch = ch; - else - xch = toupper(ch); - - if(isdigit(xch)) - val = xch - '0'; - else if(isupper(xch)) - val = xch - 'A' + 10; - else if(islower(xch)) - val = xch - 'a' + 36; - else if(xch == '+') - val = 62; - else if(xch == '/') - val = 63; - else - return -1; - - if(val < 0 || val >= r) - return -1; - - return val; - -} /* end s_mp_tovalue() */ - -/* }}} */ - -/* {{{ s_mp_todigit(val, r, low) */ - -/* - Convert val to a radix-r digit, if possible. If val is out of range - for r, returns zero. Otherwise, returns an ASCII character denoting - the value in the given radix. - - The results may be odd if you use a radix < 2 or > 64, you are - expected to know what you're doing. - */ - -char s_mp_todigit(int val, int r, int low) -{ - char ch; - - if(val < 0 || val >= r) - return 0; - - ch = s_dmap_1[val]; - - if(r <= 36 && low) - ch = tolower(ch); - - return ch; - -} /* end s_mp_todigit() */ - -/* }}} */ - -/* {{{ s_mp_outlen(bits, radix) */ - -/* - Return an estimate for how long a string is needed to hold a radix - r representation of a number with 'bits' significant bits. - - Does not include space for a sign or a NUL terminator. - */ -int s_mp_outlen(int bits, int r) -{ - return (int)((double)bits * LOG_V_2(r)); - -} /* end s_mp_outlen() */ - -/* }}} */ - -/* }}} */ - -/*------------------------------------------------------------------------*/ -/* HERE THERE BE DRAGONS */ -/* crc==4242132123, version==2, Sat Feb 02 06:43:52 2002 */ diff --git a/libtommath/mtest/mpi.h b/libtommath/mtest/mpi.h deleted file mode 100644 index 211421f..0000000 --- a/libtommath/mtest/mpi.h +++ /dev/null @@ -1,225 +0,0 @@ -/* - mpi.h - - by Michael J. Fromberger - Copyright (C) 1998 Michael J. Fromberger, All Rights Reserved - - Arbitrary precision integer arithmetic library - */ - -#ifndef _H_MPI_ -#define _H_MPI_ - -#include "mpi-config.h" - -#define MP_LT -1 -#define MP_EQ 0 -#define MP_GT 1 - -#if MP_DEBUG -#undef MP_IOFUNC -#define MP_IOFUNC 1 -#endif - -#if MP_IOFUNC -#include -#include -#endif - -#include - -#define MP_NEG 1 -#define MP_ZPOS 0 - -/* Included for compatibility... */ -#define NEG MP_NEG -#define ZPOS MP_ZPOS - -#define MP_OKAY 0 /* no error, all is well */ -#define MP_YES 0 /* yes (boolean result) */ -#define MP_NO -1 /* no (boolean result) */ -#define MP_MEM -2 /* out of memory */ -#define MP_RANGE -3 /* argument out of range */ -#define MP_BADARG -4 /* invalid parameter */ -#define MP_UNDEF -5 /* answer is undefined */ -#define MP_LAST_CODE MP_UNDEF - -#include "mpi-types.h" - -/* Included for compatibility... */ -#define DIGIT_BIT MP_DIGIT_BIT -#define DIGIT_MAX MP_DIGIT_MAX - -/* Macros for accessing the mp_int internals */ -#define SIGN(MP) ((MP)->sign) -#define USED(MP) ((MP)->used) -#define ALLOC(MP) ((MP)->alloc) -#define DIGITS(MP) ((MP)->dp) -#define DIGIT(MP,N) (MP)->dp[(N)] - -#if MP_ARGCHK == 1 -#define ARGCHK(X,Y) {if(!(X)){return (Y);}} -#elif MP_ARGCHK == 2 -#include -#define ARGCHK(X,Y) assert(X) -#else -#define ARGCHK(X,Y) /* */ -#endif - -/* This defines the maximum I/O base (minimum is 2) */ -#define MAX_RADIX 64 - -typedef struct { - mp_sign sign; /* sign of this quantity */ - mp_size alloc; /* how many digits allocated */ - mp_size used; /* how many digits used */ - mp_digit *dp; /* the digits themselves */ -} mp_int; - -/*------------------------------------------------------------------------*/ -/* Default precision */ - -unsigned int mp_get_prec(void); -void mp_set_prec(unsigned int prec); - -/*------------------------------------------------------------------------*/ -/* Memory management */ - -mp_err mp_init(mp_int *mp); -mp_err mp_init_array(mp_int mp[], int count); -mp_err mp_init_size(mp_int *mp, mp_size prec); -mp_err mp_init_copy(mp_int *mp, mp_int *from); -mp_err mp_copy(mp_int *from, mp_int *to); -void mp_exch(mp_int *mp1, mp_int *mp2); -void mp_clear(mp_int *mp); -void mp_clear_array(mp_int mp[], int count); -void mp_zero(mp_int *mp); -void mp_set(mp_int *mp, mp_digit d); -mp_err mp_set_int(mp_int *mp, long z); -mp_err mp_shrink(mp_int *a); - - -/*------------------------------------------------------------------------*/ -/* Single digit arithmetic */ - -mp_err mp_add_d(mp_int *a, mp_digit d, mp_int *b); -mp_err mp_sub_d(mp_int *a, mp_digit d, mp_int *b); -mp_err mp_mul_d(mp_int *a, mp_digit d, mp_int *b); -mp_err mp_mul_2(mp_int *a, mp_int *c); -mp_err mp_div_d(mp_int *a, mp_digit d, mp_int *q, mp_digit *r); -mp_err mp_div_2(mp_int *a, mp_int *c); -mp_err mp_expt_d(mp_int *a, mp_digit d, mp_int *c); - -/*------------------------------------------------------------------------*/ -/* Sign manipulations */ - -mp_err mp_abs(mp_int *a, mp_int *b); -mp_err mp_neg(mp_int *a, mp_int *b); - -/*------------------------------------------------------------------------*/ -/* Full arithmetic */ - -mp_err mp_add(mp_int *a, mp_int *b, mp_int *c); -mp_err mp_sub(mp_int *a, mp_int *b, mp_int *c); -mp_err mp_mul(mp_int *a, mp_int *b, mp_int *c); -mp_err mp_mul_2d(mp_int *a, mp_digit d, mp_int *c); -#if MP_SQUARE -mp_err mp_sqr(mp_int *a, mp_int *b); -#else -#define mp_sqr(a, b) mp_mul(a, a, b) -#endif -mp_err mp_div(mp_int *a, mp_int *b, mp_int *q, mp_int *r); -mp_err mp_div_2d(mp_int *a, mp_digit d, mp_int *q, mp_int *r); -mp_err mp_expt(mp_int *a, mp_int *b, mp_int *c); -mp_err mp_2expt(mp_int *a, mp_digit k); -mp_err mp_sqrt(mp_int *a, mp_int *b); - -/*------------------------------------------------------------------------*/ -/* Modular arithmetic */ - -#if MP_MODARITH -mp_err mp_mod(mp_int *a, mp_int *m, mp_int *c); -mp_err mp_mod_d(mp_int *a, mp_digit d, mp_digit *c); -mp_err mp_addmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c); -mp_err mp_submod(mp_int *a, mp_int *b, mp_int *m, mp_int *c); -mp_err mp_mulmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c); -#if MP_SQUARE -mp_err mp_sqrmod(mp_int *a, mp_int *m, mp_int *c); -#else -#define mp_sqrmod(a, m, c) mp_mulmod(a, a, m, c) -#endif -mp_err mp_exptmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c); -mp_err mp_exptmod_d(mp_int *a, mp_digit d, mp_int *m, mp_int *c); -#endif /* MP_MODARITH */ - -/*------------------------------------------------------------------------*/ -/* Comparisons */ - -int mp_cmp_z(mp_int *a); -int mp_cmp_d(mp_int *a, mp_digit d); -int mp_cmp(mp_int *a, mp_int *b); -int mp_cmp_mag(mp_int *a, mp_int *b); -int mp_cmp_int(mp_int *a, long z); -int mp_isodd(mp_int *a); -int mp_iseven(mp_int *a); - -/*------------------------------------------------------------------------*/ -/* Number theoretic */ - -#if MP_NUMTH -mp_err mp_gcd(mp_int *a, mp_int *b, mp_int *c); -mp_err mp_lcm(mp_int *a, mp_int *b, mp_int *c); -mp_err mp_xgcd(mp_int *a, mp_int *b, mp_int *g, mp_int *x, mp_int *y); -mp_err mp_invmod(mp_int *a, mp_int *m, mp_int *c); -#endif /* end MP_NUMTH */ - -/*------------------------------------------------------------------------*/ -/* Input and output */ - -#if MP_IOFUNC -void mp_print(mp_int *mp, FILE *ofp); -#endif /* end MP_IOFUNC */ - -/*------------------------------------------------------------------------*/ -/* Base conversion */ - -#define BITS 1 -#define BYTES CHAR_BIT - -mp_err mp_read_signed_bin(mp_int *mp, unsigned char *str, int len); -int mp_signed_bin_size(mp_int *mp); -mp_err mp_to_signed_bin(mp_int *mp, unsigned char *str); - -mp_err mp_read_unsigned_bin(mp_int *mp, unsigned char *str, int len); -int mp_unsigned_bin_size(mp_int *mp); -mp_err mp_to_unsigned_bin(mp_int *mp, unsigned char *str); - -int mp_count_bits(mp_int *mp); - -#if MP_COMPAT_MACROS -#define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len)) -#define mp_raw_size(mp) mp_signed_bin_size(mp) -#define mp_toraw(mp, str) mp_to_signed_bin((mp), (str)) -#define mp_read_mag(mp, str, len) mp_read_unsigned_bin((mp), (str), (len)) -#define mp_mag_size(mp) mp_unsigned_bin_size(mp) -#define mp_tomag(mp, str) mp_to_unsigned_bin((mp), (str)) -#endif - -mp_err mp_read_radix(mp_int *mp, unsigned char *str, int radix); -int mp_radix_size(mp_int *mp, int radix); -int mp_value_radix_size(int num, int qty, int radix); -mp_err mp_toradix(mp_int *mp, unsigned char *str, int radix); - -int mp_char2value(char ch, int r); - -#define mp_tobinary(M, S) mp_toradix((M), (S), 2) -#define mp_tooctal(M, S) mp_toradix((M), (S), 8) -#define mp_todecimal(M, S) mp_toradix((M), (S), 10) -#define mp_tohex(M, S) mp_toradix((M), (S), 16) - -/*------------------------------------------------------------------------*/ -/* Error strings */ - -const char *mp_strerror(mp_err ec); - -#endif /* end _H_MPI_ */ diff --git a/libtommath/mtest/mtest.c b/libtommath/mtest/mtest.c deleted file mode 100644 index d46f456..0000000 --- a/libtommath/mtest/mtest.c +++ /dev/null @@ -1,304 +0,0 @@ -/* makes a bignum test harness with NUM tests per operation - * - * the output is made in the following format [one parameter per line] - -operation -operand1 -operand2 -[... operandN] -result1 -result2 -[... resultN] - -So for example "a * b mod n" would be - -mulmod -a -b -n -a*b mod n - -e.g. if a=3, b=4 n=11 then - -mulmod -3 -4 -11 -1 - - */ - -#ifdef MP_8BIT -#define THE_MASK 127 -#else -#define THE_MASK 32767 -#endif - -#include -#include -#include -#include "mpi.c" - -FILE *rng; - -void rand_num(mp_int *a) -{ - int n, size; - unsigned char buf[2048]; - - size = 1 + ((fgetc(rng)<<8) + fgetc(rng)) % 101; - buf[0] = (fgetc(rng)&1)?1:0; - fread(buf+1, 1, size, rng); - while (buf[1] == 0) buf[1] = fgetc(rng); - mp_read_raw(a, buf, 1+size); -} - -void rand_num2(mp_int *a) -{ - int n, size; - unsigned char buf[2048]; - - size = 10 + ((fgetc(rng)<<8) + fgetc(rng)) % 101; - buf[0] = (fgetc(rng)&1)?1:0; - fread(buf+1, 1, size, rng); - while (buf[1] == 0) buf[1] = fgetc(rng); - mp_read_raw(a, buf, 1+size); -} - -#define mp_to64(a, b) mp_toradix(a, b, 64) - -int main(void) -{ - int n, tmp; - mp_int a, b, c, d, e; - clock_t t1; - char buf[4096]; - - mp_init(&a); - mp_init(&b); - mp_init(&c); - mp_init(&d); - mp_init(&e); - - - /* initial (2^n - 1)^2 testing, makes sure the comba multiplier works [it has the new carry code] */ -/* - mp_set(&a, 1); - for (n = 1; n < 8192; n++) { - mp_mul(&a, &a, &c); - printf("mul\n"); - mp_to64(&a, buf); - printf("%s\n%s\n", buf, buf); - mp_to64(&c, buf); - printf("%s\n", buf); - - mp_add_d(&a, 1, &a); - mp_mul_2(&a, &a); - mp_sub_d(&a, 1, &a); - } -*/ - - rng = fopen("/dev/urandom", "rb"); - if (rng == NULL) { - rng = fopen("/dev/random", "rb"); - if (rng == NULL) { - fprintf(stderr, "\nWarning: stdin used as random source\n\n"); - rng = stdin; - } - } - - t1 = clock(); - for (;;) { -#if 0 - if (clock() - t1 > CLOCKS_PER_SEC) { - sleep(2); - t1 = clock(); - } -#endif - n = fgetc(rng) % 15; - - if (n == 0) { - /* add tests */ - rand_num(&a); - rand_num(&b); - mp_add(&a, &b, &c); - printf("add\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - } else if (n == 1) { - /* sub tests */ - rand_num(&a); - rand_num(&b); - mp_sub(&a, &b, &c); - printf("sub\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - } else if (n == 2) { - /* mul tests */ - rand_num(&a); - rand_num(&b); - mp_mul(&a, &b, &c); - printf("mul\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - } else if (n == 3) { - /* div tests */ - rand_num(&a); - rand_num(&b); - mp_div(&a, &b, &c, &d); - printf("div\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - mp_to64(&d, buf); - printf("%s\n", buf); - } else if (n == 4) { - /* sqr tests */ - rand_num(&a); - mp_sqr(&a, &b); - printf("sqr\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - } else if (n == 5) { - /* mul_2d test */ - rand_num(&a); - mp_copy(&a, &b); - n = fgetc(rng) & 63; - mp_mul_2d(&b, n, &b); - mp_to64(&a, buf); - printf("mul2d\n"); - printf("%s\n", buf); - printf("%d\n", n); - mp_to64(&b, buf); - printf("%s\n", buf); - } else if (n == 6) { - /* div_2d test */ - rand_num(&a); - mp_copy(&a, &b); - n = fgetc(rng) & 63; - mp_div_2d(&b, n, &b, NULL); - mp_to64(&a, buf); - printf("div2d\n"); - printf("%s\n", buf); - printf("%d\n", n); - mp_to64(&b, buf); - printf("%s\n", buf); - } else if (n == 7) { - /* gcd test */ - rand_num(&a); - rand_num(&b); - a.sign = MP_ZPOS; - b.sign = MP_ZPOS; - mp_gcd(&a, &b, &c); - printf("gcd\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - } else if (n == 8) { - /* lcm test */ - rand_num(&a); - rand_num(&b); - a.sign = MP_ZPOS; - b.sign = MP_ZPOS; - mp_lcm(&a, &b, &c); - printf("lcm\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - } else if (n == 9) { - /* exptmod test */ - rand_num2(&a); - rand_num2(&b); - rand_num2(&c); -// if (c.dp[0]&1) mp_add_d(&c, 1, &c); - a.sign = b.sign = c.sign = 0; - mp_exptmod(&a, &b, &c, &d); - printf("expt\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - mp_to64(&d, buf); - printf("%s\n", buf); - } else if (n == 10) { - /* invmod test */ - rand_num2(&a); - rand_num2(&b); - b.sign = MP_ZPOS; - a.sign = MP_ZPOS; - mp_gcd(&a, &b, &c); - if (mp_cmp_d(&c, 1) != 0) continue; - if (mp_cmp_d(&b, 1) == 0) continue; - mp_invmod(&a, &b, &c); - printf("invmod\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - mp_to64(&c, buf); - printf("%s\n", buf); - } else if (n == 11) { - rand_num(&a); - mp_mul_2(&a, &a); - mp_div_2(&a, &b); - printf("div2\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - } else if (n == 12) { - rand_num2(&a); - mp_mul_2(&a, &b); - printf("mul2\n"); - mp_to64(&a, buf); - printf("%s\n", buf); - mp_to64(&b, buf); - printf("%s\n", buf); - } else if (n == 13) { - rand_num2(&a); - tmp = abs(rand()) & THE_MASK; - mp_add_d(&a, tmp, &b); - printf("add_d\n"); - mp_to64(&a, buf); - printf("%s\n%d\n", buf, tmp); - mp_to64(&b, buf); - printf("%s\n", buf); - } else if (n == 14) { - rand_num2(&a); - tmp = abs(rand()) & THE_MASK; - mp_sub_d(&a, tmp, &b); - printf("sub_d\n"); - mp_to64(&a, buf); - printf("%s\n%d\n", buf, tmp); - mp_to64(&b, buf); - printf("%s\n", buf); - } - } - fclose(rng); - return 0; -} diff --git a/libtommath/pics/design_process.sxd b/libtommath/pics/design_process.sxd deleted file mode 100644 index 7414dbb..0000000 Binary files a/libtommath/pics/design_process.sxd and /dev/null differ diff --git a/libtommath/pics/design_process.tif b/libtommath/pics/design_process.tif deleted file mode 100644 index 4a0c012..0000000 Binary files a/libtommath/pics/design_process.tif and /dev/null differ diff --git a/libtommath/pics/expt_state.sxd b/libtommath/pics/expt_state.sxd deleted file mode 100644 index 6518404..0000000 Binary files a/libtommath/pics/expt_state.sxd and /dev/null differ diff --git a/libtommath/pics/expt_state.tif b/libtommath/pics/expt_state.tif deleted file mode 100644 index 0aaee39..0000000 Binary files a/libtommath/pics/expt_state.tif and /dev/null differ diff --git a/libtommath/pics/makefile b/libtommath/pics/makefile deleted file mode 100644 index 3ecb02f..0000000 --- a/libtommath/pics/makefile +++ /dev/null @@ -1,35 +0,0 @@ -# makes the images... yeah - -default: pses - -design_process.ps: design_process.tif - tiff2ps -s -e design_process.tif > design_process.ps - -sliding_window.ps: sliding_window.tif - tiff2ps -s -e sliding_window.tif > sliding_window.ps - -expt_state.ps: expt_state.tif - tiff2ps -s -e expt_state.tif > expt_state.ps - -primality.ps: primality.tif - tiff2ps -s -e primality.tif > primality.ps - -design_process.pdf: design_process.ps - epstopdf design_process.ps - -sliding_window.pdf: sliding_window.ps - epstopdf sliding_window.ps - -expt_state.pdf: expt_state.ps - epstopdf expt_state.ps - -primality.pdf: primality.ps - epstopdf primality.ps - - -pses: sliding_window.ps expt_state.ps primality.ps design_process.ps -pdfes: sliding_window.pdf expt_state.pdf primality.pdf design_process.pdf - -clean: - rm -rf *.ps *.pdf .xvpics - \ No newline at end of file diff --git a/libtommath/pics/primality.tif b/libtommath/pics/primality.tif deleted file mode 100644 index 83aafe0..0000000 Binary files a/libtommath/pics/primality.tif and /dev/null differ diff --git a/libtommath/pics/radix.sxd b/libtommath/pics/radix.sxd deleted file mode 100644 index b9eb9a0..0000000 Binary files a/libtommath/pics/radix.sxd and /dev/null differ diff --git a/libtommath/pics/sliding_window.sxd b/libtommath/pics/sliding_window.sxd deleted file mode 100644 index 91e7c0d..0000000 Binary files a/libtommath/pics/sliding_window.sxd and /dev/null differ diff --git a/libtommath/pics/sliding_window.tif b/libtommath/pics/sliding_window.tif deleted file mode 100644 index bb4cb96..0000000 Binary files a/libtommath/pics/sliding_window.tif and /dev/null differ diff --git a/libtommath/poster.out b/libtommath/poster.out deleted file mode 100644 index e69de29..0000000 diff --git a/libtommath/poster.pdf b/libtommath/poster.pdf deleted file mode 100644 index 1f705cf..0000000 Binary files a/libtommath/poster.pdf and /dev/null differ diff --git a/libtommath/pre_gen/mpi.c b/libtommath/pre_gen/mpi.c deleted file mode 100644 index d2224c0..0000000 --- a/libtommath/pre_gen/mpi.c +++ /dev/null @@ -1,9048 +0,0 @@ -/* Start: bn_error.c */ -#include -#ifdef BN_ERROR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -static const struct { - int code; - char *msg; -} msgs[] = { - { MP_OKAY, "Successful" }, - { MP_MEM, "Out of heap" }, - { MP_VAL, "Value out of range" } -}; - -/* return a char * string for a given code */ -char *mp_error_to_string(int code) -{ - int x; - - /* scan the lookup table for the given message */ - for (x = 0; x < (int)(sizeof(msgs) / sizeof(msgs[0])); x++) { - if (msgs[x].code == code) { - return msgs[x].msg; - } - } - - /* generic reply for invalid code */ - return "Invalid error code"; -} - -#endif - -/* End: bn_error.c */ - -/* Start: bn_fast_mp_invmod.c */ -#include -#ifdef BN_FAST_MP_INVMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* computes the modular inverse via binary extended euclidean algorithm, - * that is c = 1/a mod b - * - * Based on slow invmod except this is optimized for the case where b is - * odd as per HAC Note 14.64 on pp. 610 - */ -int fast_mp_invmod (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int x, y, u, v, B, D; - int res, neg; - - /* 2. [modified] b must be odd */ - if (mp_iseven (b) == 1) { - return MP_VAL; - } - - /* init all our temps */ - if ((res = mp_init_multi(&x, &y, &u, &v, &B, &D, NULL)) != MP_OKAY) { - return res; - } - - /* x == modulus, y == value to invert */ - if ((res = mp_copy (b, &x)) != MP_OKAY) { - goto LBL_ERR; - } - - /* we need y = |a| */ - if ((res = mp_mod (a, b, &y)) != MP_OKAY) { - goto LBL_ERR; - } - - /* 3. u=x, v=y, A=1, B=0, C=0,D=1 */ - if ((res = mp_copy (&x, &u)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_copy (&y, &v)) != MP_OKAY) { - goto LBL_ERR; - } - mp_set (&D, 1); - -top: - /* 4. while u is even do */ - while (mp_iseven (&u) == 1) { - /* 4.1 u = u/2 */ - if ((res = mp_div_2 (&u, &u)) != MP_OKAY) { - goto LBL_ERR; - } - /* 4.2 if B is odd then */ - if (mp_isodd (&B) == 1) { - if ((res = mp_sub (&B, &x, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } - /* B = B/2 */ - if ((res = mp_div_2 (&B, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* 5. while v is even do */ - while (mp_iseven (&v) == 1) { - /* 5.1 v = v/2 */ - if ((res = mp_div_2 (&v, &v)) != MP_OKAY) { - goto LBL_ERR; - } - /* 5.2 if D is odd then */ - if (mp_isodd (&D) == 1) { - /* D = (D-x)/2 */ - if ((res = mp_sub (&D, &x, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - /* D = D/2 */ - if ((res = mp_div_2 (&D, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* 6. if u >= v then */ - if (mp_cmp (&u, &v) != MP_LT) { - /* u = u - v, B = B - D */ - if ((res = mp_sub (&u, &v, &u)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub (&B, &D, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } else { - /* v - v - u, D = D - B */ - if ((res = mp_sub (&v, &u, &v)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub (&D, &B, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* if not zero goto step 4 */ - if (mp_iszero (&u) == 0) { - goto top; - } - - /* now a = C, b = D, gcd == g*v */ - - /* if v != 1 then there is no inverse */ - if (mp_cmp_d (&v, 1) != MP_EQ) { - res = MP_VAL; - goto LBL_ERR; - } - - /* b is now the inverse */ - neg = a->sign; - while (D.sign == MP_NEG) { - if ((res = mp_add (&D, b, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - mp_exch (&D, c); - c->sign = neg; - res = MP_OKAY; - -LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL); - return res; -} -#endif - -/* End: bn_fast_mp_invmod.c */ - -/* Start: bn_fast_mp_montgomery_reduce.c */ -#include -#ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* computes xR**-1 == x (mod N) via Montgomery Reduction - * - * This is an optimized implementation of montgomery_reduce - * which uses the comba method to quickly calculate the columns of the - * reduction. - * - * Based on Algorithm 14.32 on pp.601 of HAC. -*/ -int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) -{ - int ix, res, olduse; - mp_word W[MP_WARRAY]; - - /* get old used count */ - olduse = x->used; - - /* grow a as required */ - if (x->alloc < n->used + 1) { - if ((res = mp_grow (x, n->used + 1)) != MP_OKAY) { - return res; - } - } - - /* first we have to get the digits of the input into - * an array of double precision words W[...] - */ - { - register mp_word *_W; - register mp_digit *tmpx; - - /* alias for the W[] array */ - _W = W; - - /* alias for the digits of x*/ - tmpx = x->dp; - - /* copy the digits of a into W[0..a->used-1] */ - for (ix = 0; ix < x->used; ix++) { - *_W++ = *tmpx++; - } - - /* zero the high words of W[a->used..m->used*2] */ - for (; ix < n->used * 2 + 1; ix++) { - *_W++ = 0; - } - } - - /* now we proceed to zero successive digits - * from the least significant upwards - */ - for (ix = 0; ix < n->used; ix++) { - /* mu = ai * m' mod b - * - * We avoid a double precision multiplication (which isn't required) - * by casting the value down to a mp_digit. Note this requires - * that W[ix-1] have the carry cleared (see after the inner loop) - */ - register mp_digit mu; - mu = (mp_digit) (((W[ix] & MP_MASK) * rho) & MP_MASK); - - /* a = a + mu * m * b**i - * - * This is computed in place and on the fly. The multiplication - * by b**i is handled by offseting which columns the results - * are added to. - * - * Note the comba method normally doesn't handle carries in the - * inner loop In this case we fix the carry from the previous - * column since the Montgomery reduction requires digits of the - * result (so far) [see above] to work. This is - * handled by fixing up one carry after the inner loop. The - * carry fixups are done in order so after these loops the - * first m->used words of W[] have the carries fixed - */ - { - register int iy; - register mp_digit *tmpn; - register mp_word *_W; - - /* alias for the digits of the modulus */ - tmpn = n->dp; - - /* Alias for the columns set by an offset of ix */ - _W = W + ix; - - /* inner loop */ - for (iy = 0; iy < n->used; iy++) { - *_W++ += ((mp_word)mu) * ((mp_word)*tmpn++); - } - } - - /* now fix carry for next digit, W[ix+1] */ - W[ix + 1] += W[ix] >> ((mp_word) DIGIT_BIT); - } - - /* now we have to propagate the carries and - * shift the words downward [all those least - * significant digits we zeroed]. - */ - { - register mp_digit *tmpx; - register mp_word *_W, *_W1; - - /* nox fix rest of carries */ - - /* alias for current word */ - _W1 = W + ix; - - /* alias for next word, where the carry goes */ - _W = W + ++ix; - - for (; ix <= n->used * 2 + 1; ix++) { - *_W++ += *_W1++ >> ((mp_word) DIGIT_BIT); - } - - /* copy out, A = A/b**n - * - * The result is A/b**n but instead of converting from an - * array of mp_word to mp_digit than calling mp_rshd - * we just copy them in the right order - */ - - /* alias for destination word */ - tmpx = x->dp; - - /* alias for shifted double precision result */ - _W = W + n->used; - - for (ix = 0; ix < n->used + 1; ix++) { - *tmpx++ = (mp_digit)(*_W++ & ((mp_word) MP_MASK)); - } - - /* zero oldused digits, if the input a was larger than - * m->used+1 we'll have to clear the digits - */ - for (; ix < olduse; ix++) { - *tmpx++ = 0; - } - } - - /* set the max used and clamp */ - x->used = n->used + 1; - mp_clamp (x); - - /* if A >= m then A = A - m */ - if (mp_cmp_mag (x, n) != MP_LT) { - return s_mp_sub (x, n, x); - } - return MP_OKAY; -} -#endif - -/* End: bn_fast_mp_montgomery_reduce.c */ - -/* Start: bn_fast_s_mp_mul_digs.c */ -#include -#ifdef BN_FAST_S_MP_MUL_DIGS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* Fast (comba) multiplier - * - * This is the fast column-array [comba] multiplier. It is - * designed to compute the columns of the product first - * then handle the carries afterwards. This has the effect - * of making the nested loops that compute the columns very - * simple and schedulable on super-scalar processors. - * - * This has been modified to produce a variable number of - * digits of output so if say only a half-product is required - * you don't have to compute the upper half (a feature - * required for fast Barrett reduction). - * - * Based on Algorithm 14.12 on pp.595 of HAC. - * - */ -int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) -{ - int olduse, res, pa, ix, iz; - mp_digit W[MP_WARRAY]; - register mp_word _W; - - /* grow the destination as required */ - if (c->alloc < digs) { - if ((res = mp_grow (c, digs)) != MP_OKAY) { - return res; - } - } - - /* number of output digits to produce */ - pa = MIN(digs, a->used + b->used); - - /* clear the carry */ - _W = 0; - for (ix = 0; ix < pa; ix++) { - int tx, ty; - int iy; - mp_digit *tmpx, *tmpy; - - /* get offsets into the two bignums */ - ty = MIN(b->used-1, ix); - tx = ix - ty; - - /* setup temp aliases */ - tmpx = a->dp + tx; - tmpy = b->dp + ty; - - /* this is the number of times the loop will iterrate, essentially - while (tx++ < a->used && ty-- >= 0) { ... } - */ - iy = MIN(a->used-tx, ty+1); - - /* execute loop */ - for (iz = 0; iz < iy; ++iz) { - _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--); - - } - - /* store term */ - W[ix] = ((mp_digit)_W) & MP_MASK; - - /* make next carry */ - _W = _W >> ((mp_word)DIGIT_BIT); - } - - /* setup dest */ - olduse = c->used; - c->used = pa; - - { - register mp_digit *tmpc; - tmpc = c->dp; - for (ix = 0; ix < pa+1; ix++) { - /* now extract the previous digit [below the carry] */ - *tmpc++ = W[ix]; - } - - /* clear unused digits [that existed in the old copy of c] */ - for (; ix < olduse; ix++) { - *tmpc++ = 0; - } - } - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* End: bn_fast_s_mp_mul_digs.c */ - -/* Start: bn_fast_s_mp_mul_high_digs.c */ -#include -#ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* this is a modified version of fast_s_mul_digs that only produces - * output digits *above* digs. See the comments for fast_s_mul_digs - * to see how it works. - * - * This is used in the Barrett reduction since for one of the multiplications - * only the higher digits were needed. This essentially halves the work. - * - * Based on Algorithm 14.12 on pp.595 of HAC. - */ -int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) -{ - int olduse, res, pa, ix, iz; - mp_digit W[MP_WARRAY]; - mp_word _W; - - /* grow the destination as required */ - pa = a->used + b->used; - if (c->alloc < pa) { - if ((res = mp_grow (c, pa)) != MP_OKAY) { - return res; - } - } - - /* number of output digits to produce */ - pa = a->used + b->used; - _W = 0; - for (ix = digs; ix < pa; ix++) { - int tx, ty, iy; - mp_digit *tmpx, *tmpy; - - /* get offsets into the two bignums */ - ty = MIN(b->used-1, ix); - tx = ix - ty; - - /* setup temp aliases */ - tmpx = a->dp + tx; - tmpy = b->dp + ty; - - /* this is the number of times the loop will iterrate, essentially its - while (tx++ < a->used && ty-- >= 0) { ... } - */ - iy = MIN(a->used-tx, ty+1); - - /* execute loop */ - for (iz = 0; iz < iy; iz++) { - _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--); - } - - /* store term */ - W[ix] = ((mp_digit)_W) & MP_MASK; - - /* make next carry */ - _W = _W >> ((mp_word)DIGIT_BIT); - } - - /* setup dest */ - olduse = c->used; - c->used = pa; - - { - register mp_digit *tmpc; - - tmpc = c->dp + digs; - for (ix = digs; ix < pa; ix++) { - /* now extract the previous digit [below the carry] */ - *tmpc++ = W[ix]; - } - - /* clear unused digits [that existed in the old copy of c] */ - for (; ix < olduse; ix++) { - *tmpc++ = 0; - } - } - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* End: bn_fast_s_mp_mul_high_digs.c */ - -/* Start: bn_fast_s_mp_sqr.c */ -#include -#ifdef BN_FAST_S_MP_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* the jist of squaring... - * you do like mult except the offset of the tmpx [one that - * starts closer to zero] can't equal the offset of tmpy. - * So basically you set up iy like before then you min it with - * (ty-tx) so that it never happens. You double all those - * you add in the inner loop - -After that loop you do the squares and add them in. -*/ - -int fast_s_mp_sqr (mp_int * a, mp_int * b) -{ - int olduse, res, pa, ix, iz; - mp_digit W[MP_WARRAY], *tmpx; - mp_word W1; - - /* grow the destination as required */ - pa = a->used + a->used; - if (b->alloc < pa) { - if ((res = mp_grow (b, pa)) != MP_OKAY) { - return res; - } - } - - /* number of output digits to produce */ - W1 = 0; - for (ix = 0; ix < pa; ix++) { - int tx, ty, iy; - mp_word _W; - mp_digit *tmpy; - - /* clear counter */ - _W = 0; - - /* get offsets into the two bignums */ - ty = MIN(a->used-1, ix); - tx = ix - ty; - - /* setup temp aliases */ - tmpx = a->dp + tx; - tmpy = a->dp + ty; - - /* this is the number of times the loop will iterrate, essentially - while (tx++ < a->used && ty-- >= 0) { ... } - */ - iy = MIN(a->used-tx, ty+1); - - /* now for squaring tx can never equal ty - * we halve the distance since they approach at a rate of 2x - * and we have to round because odd cases need to be executed - */ - iy = MIN(iy, (ty-tx+1)>>1); - - /* execute loop */ - for (iz = 0; iz < iy; iz++) { - _W += ((mp_word)*tmpx++)*((mp_word)*tmpy--); - } - - /* double the inner product and add carry */ - _W = _W + _W + W1; - - /* even columns have the square term in them */ - if ((ix&1) == 0) { - _W += ((mp_word)a->dp[ix>>1])*((mp_word)a->dp[ix>>1]); - } - - /* store it */ - W[ix] = (mp_digit)(_W & MP_MASK); - - /* make next carry */ - W1 = _W >> ((mp_word)DIGIT_BIT); - } - - /* setup dest */ - olduse = b->used; - b->used = a->used+a->used; - - { - mp_digit *tmpb; - tmpb = b->dp; - for (ix = 0; ix < pa; ix++) { - *tmpb++ = W[ix] & MP_MASK; - } - - /* clear unused digits [that existed in the old copy of c] */ - for (; ix < olduse; ix++) { - *tmpb++ = 0; - } - } - mp_clamp (b); - return MP_OKAY; -} -#endif - -/* End: bn_fast_s_mp_sqr.c */ - -/* Start: bn_mp_2expt.c */ -#include -#ifdef BN_MP_2EXPT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* computes a = 2**b - * - * Simple algorithm which zeroes the int, grows it then just sets one bit - * as required. - */ -int -mp_2expt (mp_int * a, int b) -{ - int res; - - /* zero a as per default */ - mp_zero (a); - - /* grow a to accomodate the single bit */ - if ((res = mp_grow (a, b / DIGIT_BIT + 1)) != MP_OKAY) { - return res; - } - - /* set the used count of where the bit will go */ - a->used = b / DIGIT_BIT + 1; - - /* put the single bit in its place */ - a->dp[b / DIGIT_BIT] = ((mp_digit)1) << (b % DIGIT_BIT); - - return MP_OKAY; -} -#endif - -/* End: bn_mp_2expt.c */ - -/* Start: bn_mp_abs.c */ -#include -#ifdef BN_MP_ABS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* b = |a| - * - * Simple function copies the input and fixes the sign to positive - */ -int -mp_abs (mp_int * a, mp_int * b) -{ - int res; - - /* copy a to b */ - if (a != b) { - if ((res = mp_copy (a, b)) != MP_OKAY) { - return res; - } - } - - /* force the sign of b to positive */ - b->sign = MP_ZPOS; - - return MP_OKAY; -} -#endif - -/* End: bn_mp_abs.c */ - -/* Start: bn_mp_add.c */ -#include -#ifdef BN_MP_ADD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* high level addition (handles signs) */ -int mp_add (mp_int * a, mp_int * b, mp_int * c) -{ - int sa, sb, res; - - /* get sign of both inputs */ - sa = a->sign; - sb = b->sign; - - /* handle two cases, not four */ - if (sa == sb) { - /* both positive or both negative */ - /* add their magnitudes, copy the sign */ - c->sign = sa; - res = s_mp_add (a, b, c); - } else { - /* one positive, the other negative */ - /* subtract the one with the greater magnitude from */ - /* the one of the lesser magnitude. The result gets */ - /* the sign of the one with the greater magnitude. */ - if (mp_cmp_mag (a, b) == MP_LT) { - c->sign = sb; - res = s_mp_sub (b, a, c); - } else { - c->sign = sa; - res = s_mp_sub (a, b, c); - } - } - return res; -} - -#endif - -/* End: bn_mp_add.c */ - -/* Start: bn_mp_add_d.c */ -#include -#ifdef BN_MP_ADD_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* single digit addition */ -int -mp_add_d (mp_int * a, mp_digit b, mp_int * c) -{ - int res, ix, oldused; - mp_digit *tmpa, *tmpc, mu; - - /* grow c as required */ - if (c->alloc < a->used + 1) { - if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) { - return res; - } - } - - /* if a is negative and |a| >= b, call c = |a| - b */ - if (a->sign == MP_NEG && (a->used > 1 || a->dp[0] >= b)) { - /* temporarily fix sign of a */ - a->sign = MP_ZPOS; - - /* c = |a| - b */ - res = mp_sub_d(a, b, c); - - /* fix sign */ - a->sign = c->sign = MP_NEG; - - /* clamp */ - mp_clamp(c); - - return res; - } - - /* old number of used digits in c */ - oldused = c->used; - - /* sign always positive */ - c->sign = MP_ZPOS; - - /* source alias */ - tmpa = a->dp; - - /* destination alias */ - tmpc = c->dp; - - /* if a is positive */ - if (a->sign == MP_ZPOS) { - /* add digit, after this we're propagating - * the carry. - */ - *tmpc = *tmpa++ + b; - mu = *tmpc >> DIGIT_BIT; - *tmpc++ &= MP_MASK; - - /* now handle rest of the digits */ - for (ix = 1; ix < a->used; ix++) { - *tmpc = *tmpa++ + mu; - mu = *tmpc >> DIGIT_BIT; - *tmpc++ &= MP_MASK; - } - /* set final carry */ - ix++; - *tmpc++ = mu; - - /* setup size */ - c->used = a->used + 1; - } else { - /* a was negative and |a| < b */ - c->used = 1; - - /* the result is a single digit */ - if (a->used == 1) { - *tmpc++ = b - a->dp[0]; - } else { - *tmpc++ = b; - } - - /* setup count so the clearing of oldused - * can fall through correctly - */ - ix = 1; - } - - /* now zero to oldused */ - while (ix++ < oldused) { - *tmpc++ = 0; - } - mp_clamp(c); - - return MP_OKAY; -} - -#endif - -/* End: bn_mp_add_d.c */ - -/* Start: bn_mp_addmod.c */ -#include -#ifdef BN_MP_ADDMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* d = a + b (mod c) */ -int -mp_addmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) -{ - int res; - mp_int t; - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - if ((res = mp_add (a, b, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - res = mp_mod (&t, c, d); - mp_clear (&t); - return res; -} -#endif - -/* End: bn_mp_addmod.c */ - -/* Start: bn_mp_and.c */ -#include -#ifdef BN_MP_AND_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* AND two ints together */ -int -mp_and (mp_int * a, mp_int * b, mp_int * c) -{ - int res, ix, px; - mp_int t, *x; - - if (a->used > b->used) { - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - px = b->used; - x = b; - } else { - if ((res = mp_init_copy (&t, b)) != MP_OKAY) { - return res; - } - px = a->used; - x = a; - } - - for (ix = 0; ix < px; ix++) { - t.dp[ix] &= x->dp[ix]; - } - - /* zero digits above the last from the smallest mp_int */ - for (; ix < t.used; ix++) { - t.dp[ix] = 0; - } - - mp_clamp (&t); - mp_exch (c, &t); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_mp_and.c */ - -/* Start: bn_mp_clamp.c */ -#include -#ifdef BN_MP_CLAMP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* trim unused digits - * - * This is used to ensure that leading zero digits are - * trimed and the leading "used" digit will be non-zero - * Typically very fast. Also fixes the sign if there - * are no more leading digits - */ -void -mp_clamp (mp_int * a) -{ - /* decrease used while the most significant digit is - * zero. - */ - while (a->used > 0 && a->dp[a->used - 1] == 0) { - --(a->used); - } - - /* reset the sign flag if used == 0 */ - if (a->used == 0) { - a->sign = MP_ZPOS; - } -} -#endif - -/* End: bn_mp_clamp.c */ - -/* Start: bn_mp_clear.c */ -#include -#ifdef BN_MP_CLEAR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* clear one (frees) */ -void -mp_clear (mp_int * a) -{ - int i; - - /* only do anything if a hasn't been freed previously */ - if (a->dp != NULL) { - /* first zero the digits */ - for (i = 0; i < a->used; i++) { - a->dp[i] = 0; - } - - /* free ram */ - XFREE(a->dp); - - /* reset members to make debugging easier */ - a->dp = NULL; - a->alloc = a->used = 0; - a->sign = MP_ZPOS; - } -} -#endif - -/* End: bn_mp_clear.c */ - -/* Start: bn_mp_clear_multi.c */ -#include -#ifdef BN_MP_CLEAR_MULTI_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ -#include - -void mp_clear_multi(mp_int *mp, ...) -{ - mp_int* next_mp = mp; - va_list args; - va_start(args, mp); - while (next_mp != NULL) { - mp_clear(next_mp); - next_mp = va_arg(args, mp_int*); - } - va_end(args); -} -#endif - -/* End: bn_mp_clear_multi.c */ - -/* Start: bn_mp_cmp.c */ -#include -#ifdef BN_MP_CMP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* compare two ints (signed)*/ -int -mp_cmp (mp_int * a, mp_int * b) -{ - /* compare based on sign */ - if (a->sign != b->sign) { - if (a->sign == MP_NEG) { - return MP_LT; - } else { - return MP_GT; - } - } - - /* compare digits */ - if (a->sign == MP_NEG) { - /* if negative compare opposite direction */ - return mp_cmp_mag(b, a); - } else { - return mp_cmp_mag(a, b); - } -} -#endif - -/* End: bn_mp_cmp.c */ - -/* Start: bn_mp_cmp_d.c */ -#include -#ifdef BN_MP_CMP_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* compare a digit */ -int mp_cmp_d(mp_int * a, mp_digit b) -{ - /* compare based on sign */ - if (a->sign == MP_NEG) { - return MP_LT; - } - - /* compare based on magnitude */ - if (a->used > 1) { - return MP_GT; - } - - /* compare the only digit of a to b */ - if (a->dp[0] > b) { - return MP_GT; - } else if (a->dp[0] < b) { - return MP_LT; - } else { - return MP_EQ; - } -} -#endif - -/* End: bn_mp_cmp_d.c */ - -/* Start: bn_mp_cmp_mag.c */ -#include -#ifdef BN_MP_CMP_MAG_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* compare maginitude of two ints (unsigned) */ -int mp_cmp_mag (mp_int * a, mp_int * b) -{ - int n; - mp_digit *tmpa, *tmpb; - - /* compare based on # of non-zero digits */ - if (a->used > b->used) { - return MP_GT; - } - - if (a->used < b->used) { - return MP_LT; - } - - /* alias for a */ - tmpa = a->dp + (a->used - 1); - - /* alias for b */ - tmpb = b->dp + (a->used - 1); - - /* compare based on digits */ - for (n = 0; n < a->used; ++n, --tmpa, --tmpb) { - if (*tmpa > *tmpb) { - return MP_GT; - } - - if (*tmpa < *tmpb) { - return MP_LT; - } - } - return MP_EQ; -} -#endif - -/* End: bn_mp_cmp_mag.c */ - -/* Start: bn_mp_cnt_lsb.c */ -#include -#ifdef BN_MP_CNT_LSB_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -static const int lnz[16] = { - 4, 0, 1, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 0, 1, 0 -}; - -/* Counts the number of lsbs which are zero before the first zero bit */ -int mp_cnt_lsb(mp_int *a) -{ - int x; - mp_digit q, qq; - - /* easy out */ - if (mp_iszero(a) == 1) { - return 0; - } - - /* scan lower digits until non-zero */ - for (x = 0; x < a->used && a->dp[x] == 0; x++); - q = a->dp[x]; - x *= DIGIT_BIT; - - /* now scan this digit until a 1 is found */ - if ((q & 1) == 0) { - do { - qq = q & 15; - x += lnz[qq]; - q >>= 4; - } while (qq == 0); - } - return x; -} - -#endif - -/* End: bn_mp_cnt_lsb.c */ - -/* Start: bn_mp_copy.c */ -#include -#ifdef BN_MP_COPY_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* copy, b = a */ -int -mp_copy (mp_int * a, mp_int * b) -{ - int res, n; - - /* if dst == src do nothing */ - if (a == b) { - return MP_OKAY; - } - - /* grow dest */ - if (b->alloc < a->used) { - if ((res = mp_grow (b, a->used)) != MP_OKAY) { - return res; - } - } - - /* zero b and copy the parameters over */ - { - register mp_digit *tmpa, *tmpb; - - /* pointer aliases */ - - /* source */ - tmpa = a->dp; - - /* destination */ - tmpb = b->dp; - - /* copy all the digits */ - for (n = 0; n < a->used; n++) { - *tmpb++ = *tmpa++; - } - - /* clear high digits */ - for (; n < b->used; n++) { - *tmpb++ = 0; - } - } - - /* copy used count and sign */ - b->used = a->used; - b->sign = a->sign; - return MP_OKAY; -} -#endif - -/* End: bn_mp_copy.c */ - -/* Start: bn_mp_count_bits.c */ -#include -#ifdef BN_MP_COUNT_BITS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* returns the number of bits in an int */ -int -mp_count_bits (mp_int * a) -{ - int r; - mp_digit q; - - /* shortcut */ - if (a->used == 0) { - return 0; - } - - /* get number of digits and add that */ - r = (a->used - 1) * DIGIT_BIT; - - /* take the last digit and count the bits in it */ - q = a->dp[a->used - 1]; - while (q > ((mp_digit) 0)) { - ++r; - q >>= ((mp_digit) 1); - } - return r; -} -#endif - -/* End: bn_mp_count_bits.c */ - -/* Start: bn_mp_div.c */ -#include -#ifdef BN_MP_DIV_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -#ifdef BN_MP_DIV_SMALL - -/* slower bit-bang division... also smaller */ -int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d) -{ - mp_int ta, tb, tq, q; - int res, n, n2; - - /* is divisor zero ? */ - if (mp_iszero (b) == 1) { - return MP_VAL; - } - - /* if a < b then q=0, r = a */ - if (mp_cmp_mag (a, b) == MP_LT) { - if (d != NULL) { - res = mp_copy (a, d); - } else { - res = MP_OKAY; - } - if (c != NULL) { - mp_zero (c); - } - return res; - } - - /* init our temps */ - if ((res = mp_init_multi(&ta, &tb, &tq, &q, NULL) != MP_OKAY)) { - return res; - } - - - mp_set(&tq, 1); - n = mp_count_bits(a) - mp_count_bits(b); - if (((res = mp_abs(a, &ta)) != MP_OKAY) || - ((res = mp_abs(b, &tb)) != MP_OKAY) || - ((res = mp_mul_2d(&tb, n, &tb)) != MP_OKAY) || - ((res = mp_mul_2d(&tq, n, &tq)) != MP_OKAY)) { - goto LBL_ERR; - } - - while (n-- >= 0) { - if (mp_cmp(&tb, &ta) != MP_GT) { - if (((res = mp_sub(&ta, &tb, &ta)) != MP_OKAY) || - ((res = mp_add(&q, &tq, &q)) != MP_OKAY)) { - goto LBL_ERR; - } - } - if (((res = mp_div_2d(&tb, 1, &tb, NULL)) != MP_OKAY) || - ((res = mp_div_2d(&tq, 1, &tq, NULL)) != MP_OKAY)) { - goto LBL_ERR; - } - } - - /* now q == quotient and ta == remainder */ - n = a->sign; - n2 = (a->sign == b->sign ? MP_ZPOS : MP_NEG); - if (c != NULL) { - mp_exch(c, &q); - c->sign = (mp_iszero(c) == MP_YES) ? MP_ZPOS : n2; - } - if (d != NULL) { - mp_exch(d, &ta); - d->sign = (mp_iszero(d) == MP_YES) ? MP_ZPOS : n; - } -LBL_ERR: - mp_clear_multi(&ta, &tb, &tq, &q, NULL); - return res; -} - -#else - -/* integer signed division. - * c*b + d == a [e.g. a/b, c=quotient, d=remainder] - * HAC pp.598 Algorithm 14.20 - * - * Note that the description in HAC is horribly - * incomplete. For example, it doesn't consider - * the case where digits are removed from 'x' in - * the inner loop. It also doesn't consider the - * case that y has fewer than three digits, etc.. - * - * The overall algorithm is as described as - * 14.20 from HAC but fixed to treat these cases. -*/ -int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d) -{ - mp_int q, x, y, t1, t2; - int res, n, t, i, norm, neg; - - /* is divisor zero ? */ - if (mp_iszero (b) == 1) { - return MP_VAL; - } - - /* if a < b then q=0, r = a */ - if (mp_cmp_mag (a, b) == MP_LT) { - if (d != NULL) { - res = mp_copy (a, d); - } else { - res = MP_OKAY; - } - if (c != NULL) { - mp_zero (c); - } - return res; - } - - if ((res = mp_init_size (&q, a->used + 2)) != MP_OKAY) { - return res; - } - q.used = a->used + 2; - - if ((res = mp_init (&t1)) != MP_OKAY) { - goto LBL_Q; - } - - if ((res = mp_init (&t2)) != MP_OKAY) { - goto LBL_T1; - } - - if ((res = mp_init_copy (&x, a)) != MP_OKAY) { - goto LBL_T2; - } - - if ((res = mp_init_copy (&y, b)) != MP_OKAY) { - goto LBL_X; - } - - /* fix the sign */ - neg = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; - x.sign = y.sign = MP_ZPOS; - - /* normalize both x and y, ensure that y >= b/2, [b == 2**DIGIT_BIT] */ - norm = mp_count_bits(&y) % DIGIT_BIT; - if (norm < (int)(DIGIT_BIT-1)) { - norm = (DIGIT_BIT-1) - norm; - if ((res = mp_mul_2d (&x, norm, &x)) != MP_OKAY) { - goto LBL_Y; - } - if ((res = mp_mul_2d (&y, norm, &y)) != MP_OKAY) { - goto LBL_Y; - } - } else { - norm = 0; - } - - /* note hac does 0 based, so if used==5 then its 0,1,2,3,4, e.g. use 4 */ - n = x.used - 1; - t = y.used - 1; - - /* while (x >= y*b**n-t) do { q[n-t] += 1; x -= y*b**{n-t} } */ - if ((res = mp_lshd (&y, n - t)) != MP_OKAY) { /* y = y*b**{n-t} */ - goto LBL_Y; - } - - while (mp_cmp (&x, &y) != MP_LT) { - ++(q.dp[n - t]); - if ((res = mp_sub (&x, &y, &x)) != MP_OKAY) { - goto LBL_Y; - } - } - - /* reset y by shifting it back down */ - mp_rshd (&y, n - t); - - /* step 3. for i from n down to (t + 1) */ - for (i = n; i >= (t + 1); i--) { - if (i > x.used) { - continue; - } - - /* step 3.1 if xi == yt then set q{i-t-1} to b-1, - * otherwise set q{i-t-1} to (xi*b + x{i-1})/yt */ - if (x.dp[i] == y.dp[t]) { - q.dp[i - t - 1] = ((((mp_digit)1) << DIGIT_BIT) - 1); - } else { - mp_word tmp; - tmp = ((mp_word) x.dp[i]) << ((mp_word) DIGIT_BIT); - tmp |= ((mp_word) x.dp[i - 1]); - tmp /= ((mp_word) y.dp[t]); - if (tmp > (mp_word) MP_MASK) - tmp = MP_MASK; - q.dp[i - t - 1] = (mp_digit) (tmp & (mp_word) (MP_MASK)); - } - - /* while (q{i-t-1} * (yt * b + y{t-1})) > - xi * b**2 + xi-1 * b + xi-2 - - do q{i-t-1} -= 1; - */ - q.dp[i - t - 1] = (q.dp[i - t - 1] + 1) & MP_MASK; - do { - q.dp[i - t - 1] = (q.dp[i - t - 1] - 1) & MP_MASK; - - /* find left hand */ - mp_zero (&t1); - t1.dp[0] = (t - 1 < 0) ? 0 : y.dp[t - 1]; - t1.dp[1] = y.dp[t]; - t1.used = 2; - if ((res = mp_mul_d (&t1, q.dp[i - t - 1], &t1)) != MP_OKAY) { - goto LBL_Y; - } - - /* find right hand */ - t2.dp[0] = (i - 2 < 0) ? 0 : x.dp[i - 2]; - t2.dp[1] = (i - 1 < 0) ? 0 : x.dp[i - 1]; - t2.dp[2] = x.dp[i]; - t2.used = 3; - } while (mp_cmp_mag(&t1, &t2) == MP_GT); - - /* step 3.3 x = x - q{i-t-1} * y * b**{i-t-1} */ - if ((res = mp_mul_d (&y, q.dp[i - t - 1], &t1)) != MP_OKAY) { - goto LBL_Y; - } - - if ((res = mp_lshd (&t1, i - t - 1)) != MP_OKAY) { - goto LBL_Y; - } - - if ((res = mp_sub (&x, &t1, &x)) != MP_OKAY) { - goto LBL_Y; - } - - /* if x < 0 then { x = x + y*b**{i-t-1}; q{i-t-1} -= 1; } */ - if (x.sign == MP_NEG) { - if ((res = mp_copy (&y, &t1)) != MP_OKAY) { - goto LBL_Y; - } - if ((res = mp_lshd (&t1, i - t - 1)) != MP_OKAY) { - goto LBL_Y; - } - if ((res = mp_add (&x, &t1, &x)) != MP_OKAY) { - goto LBL_Y; - } - - q.dp[i - t - 1] = (q.dp[i - t - 1] - 1UL) & MP_MASK; - } - } - - /* now q is the quotient and x is the remainder - * [which we have to normalize] - */ - - /* get sign before writing to c */ - x.sign = x.used == 0 ? MP_ZPOS : a->sign; - - if (c != NULL) { - mp_clamp (&q); - mp_exch (&q, c); - c->sign = neg; - } - - if (d != NULL) { - mp_div_2d (&x, norm, &x, NULL); - mp_exch (&x, d); - } - - res = MP_OKAY; - -LBL_Y:mp_clear (&y); -LBL_X:mp_clear (&x); -LBL_T2:mp_clear (&t2); -LBL_T1:mp_clear (&t1); -LBL_Q:mp_clear (&q); - return res; -} - -#endif - -#endif - -/* End: bn_mp_div.c */ - -/* Start: bn_mp_div_2.c */ -#include -#ifdef BN_MP_DIV_2_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* b = a/2 */ -int mp_div_2(mp_int * a, mp_int * b) -{ - int x, res, oldused; - - /* copy */ - if (b->alloc < a->used) { - if ((res = mp_grow (b, a->used)) != MP_OKAY) { - return res; - } - } - - oldused = b->used; - b->used = a->used; - { - register mp_digit r, rr, *tmpa, *tmpb; - - /* source alias */ - tmpa = a->dp + b->used - 1; - - /* dest alias */ - tmpb = b->dp + b->used - 1; - - /* carry */ - r = 0; - for (x = b->used - 1; x >= 0; x--) { - /* get the carry for the next iteration */ - rr = *tmpa & 1; - - /* shift the current digit, add in carry and store */ - *tmpb-- = (*tmpa-- >> 1) | (r << (DIGIT_BIT - 1)); - - /* forward carry to next iteration */ - r = rr; - } - - /* zero excess digits */ - tmpb = b->dp + b->used; - for (x = b->used; x < oldused; x++) { - *tmpb++ = 0; - } - } - b->sign = a->sign; - mp_clamp (b); - return MP_OKAY; -} -#endif - -/* End: bn_mp_div_2.c */ - -/* Start: bn_mp_div_2d.c */ -#include -#ifdef BN_MP_DIV_2D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* shift right by a certain bit count (store quotient in c, optional remainder in d) */ -int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d) -{ - mp_digit D, r, rr; - int x, res; - mp_int t; - - - /* if the shift count is <= 0 then we do no work */ - if (b <= 0) { - res = mp_copy (a, c); - if (d != NULL) { - mp_zero (d); - } - return res; - } - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - /* get the remainder */ - if (d != NULL) { - if ((res = mp_mod_2d (a, b, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - } - - /* copy */ - if ((res = mp_copy (a, c)) != MP_OKAY) { - mp_clear (&t); - return res; - } - - /* shift by as many digits in the bit count */ - if (b >= (int)DIGIT_BIT) { - mp_rshd (c, b / DIGIT_BIT); - } - - /* shift any bit count < DIGIT_BIT */ - D = (mp_digit) (b % DIGIT_BIT); - if (D != 0) { - register mp_digit *tmpc, mask, shift; - - /* mask */ - mask = (((mp_digit)1) << D) - 1; - - /* shift for lsb */ - shift = DIGIT_BIT - D; - - /* alias */ - tmpc = c->dp + (c->used - 1); - - /* carry */ - r = 0; - for (x = c->used - 1; x >= 0; x--) { - /* get the lower bits of this word in a temp */ - rr = *tmpc & mask; - - /* shift the current word and mix in the carry bits from the previous word */ - *tmpc = (*tmpc >> D) | (r << shift); - --tmpc; - - /* set the carry to the carry bits of the current word found above */ - r = rr; - } - } - mp_clamp (c); - if (d != NULL) { - mp_exch (&t, d); - } - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_mp_div_2d.c */ - -/* Start: bn_mp_div_3.c */ -#include -#ifdef BN_MP_DIV_3_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* divide by three (based on routine from MPI and the GMP manual) */ -int -mp_div_3 (mp_int * a, mp_int *c, mp_digit * d) -{ - mp_int q; - mp_word w, t; - mp_digit b; - int res, ix; - - /* b = 2**DIGIT_BIT / 3 */ - b = (((mp_word)1) << ((mp_word)DIGIT_BIT)) / ((mp_word)3); - - if ((res = mp_init_size(&q, a->used)) != MP_OKAY) { - return res; - } - - q.used = a->used; - q.sign = a->sign; - w = 0; - for (ix = a->used - 1; ix >= 0; ix--) { - w = (w << ((mp_word)DIGIT_BIT)) | ((mp_word)a->dp[ix]); - - if (w >= 3) { - /* multiply w by [1/3] */ - t = (w * ((mp_word)b)) >> ((mp_word)DIGIT_BIT); - - /* now subtract 3 * [w/3] from w, to get the remainder */ - w -= t+t+t; - - /* fixup the remainder as required since - * the optimization is not exact. - */ - while (w >= 3) { - t += 1; - w -= 3; - } - } else { - t = 0; - } - q.dp[ix] = (mp_digit)t; - } - - /* [optional] store the remainder */ - if (d != NULL) { - *d = (mp_digit)w; - } - - /* [optional] store the quotient */ - if (c != NULL) { - mp_clamp(&q); - mp_exch(&q, c); - } - mp_clear(&q); - - return res; -} - -#endif - -/* End: bn_mp_div_3.c */ - -/* Start: bn_mp_div_d.c */ -#include -#ifdef BN_MP_DIV_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -static int s_is_power_of_two(mp_digit b, int *p) -{ - int x; - - /* fast return if no power of two */ - if ((b==0) || (b & (b-1))) { - return 0; - } - - for (x = 0; x < DIGIT_BIT; x++) { - if (b == (((mp_digit)1)<dp[0] & ((((mp_digit)1)<used)) != MP_OKAY) { - return res; - } - - q.used = a->used; - q.sign = a->sign; - w = 0; - for (ix = a->used - 1; ix >= 0; ix--) { - w = (w << ((mp_word)DIGIT_BIT)) | ((mp_word)a->dp[ix]); - - if (w >= b) { - t = (mp_digit)(w / b); - w -= ((mp_word)t) * ((mp_word)b); - } else { - t = 0; - } - q.dp[ix] = (mp_digit)t; - } - - if (d != NULL) { - *d = (mp_digit)w; - } - - if (c != NULL) { - mp_clamp(&q); - mp_exch(&q, c); - } - mp_clear(&q); - - return res; -} - -#endif - -/* End: bn_mp_div_d.c */ - -/* Start: bn_mp_dr_is_modulus.c */ -#include -#ifdef BN_MP_DR_IS_MODULUS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* determines if a number is a valid DR modulus */ -int mp_dr_is_modulus(mp_int *a) -{ - int ix; - - /* must be at least two digits */ - if (a->used < 2) { - return 0; - } - - /* must be of the form b**k - a [a <= b] so all - * but the first digit must be equal to -1 (mod b). - */ - for (ix = 1; ix < a->used; ix++) { - if (a->dp[ix] != MP_MASK) { - return 0; - } - } - return 1; -} - -#endif - -/* End: bn_mp_dr_is_modulus.c */ - -/* Start: bn_mp_dr_reduce.c */ -#include -#ifdef BN_MP_DR_REDUCE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* reduce "x" in place modulo "n" using the Diminished Radix algorithm. - * - * Based on algorithm from the paper - * - * "Generating Efficient Primes for Discrete Log Cryptosystems" - * Chae Hoon Lim, Pil Joong Lee, - * POSTECH Information Research Laboratories - * - * The modulus must be of a special format [see manual] - * - * Has been modified to use algorithm 7.10 from the LTM book instead - * - * Input x must be in the range 0 <= x <= (n-1)**2 - */ -int -mp_dr_reduce (mp_int * x, mp_int * n, mp_digit k) -{ - int err, i, m; - mp_word r; - mp_digit mu, *tmpx1, *tmpx2; - - /* m = digits in modulus */ - m = n->used; - - /* ensure that "x" has at least 2m digits */ - if (x->alloc < m + m) { - if ((err = mp_grow (x, m + m)) != MP_OKAY) { - return err; - } - } - -/* top of loop, this is where the code resumes if - * another reduction pass is required. - */ -top: - /* aliases for digits */ - /* alias for lower half of x */ - tmpx1 = x->dp; - - /* alias for upper half of x, or x/B**m */ - tmpx2 = x->dp + m; - - /* set carry to zero */ - mu = 0; - - /* compute (x mod B**m) + k * [x/B**m] inline and inplace */ - for (i = 0; i < m; i++) { - r = ((mp_word)*tmpx2++) * ((mp_word)k) + *tmpx1 + mu; - *tmpx1++ = (mp_digit)(r & MP_MASK); - mu = (mp_digit)(r >> ((mp_word)DIGIT_BIT)); - } - - /* set final carry */ - *tmpx1++ = mu; - - /* zero words above m */ - for (i = m + 1; i < x->used; i++) { - *tmpx1++ = 0; - } - - /* clamp, sub and return */ - mp_clamp (x); - - /* if x >= n then subtract and reduce again - * Each successive "recursion" makes the input smaller and smaller. - */ - if (mp_cmp_mag (x, n) != MP_LT) { - s_mp_sub(x, n, x); - goto top; - } - return MP_OKAY; -} -#endif - -/* End: bn_mp_dr_reduce.c */ - -/* Start: bn_mp_dr_setup.c */ -#include -#ifdef BN_MP_DR_SETUP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* determines the setup value */ -void mp_dr_setup(mp_int *a, mp_digit *d) -{ - /* the casts are required if DIGIT_BIT is one less than - * the number of bits in a mp_digit [e.g. DIGIT_BIT==31] - */ - *d = (mp_digit)((((mp_word)1) << ((mp_word)DIGIT_BIT)) - - ((mp_word)a->dp[0])); -} - -#endif - -/* End: bn_mp_dr_setup.c */ - -/* Start: bn_mp_exch.c */ -#include -#ifdef BN_MP_EXCH_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* swap the elements of two integers, for cases where you can't simply swap the - * mp_int pointers around - */ -void -mp_exch (mp_int * a, mp_int * b) -{ - mp_int t; - - t = *a; - *a = *b; - *b = t; -} -#endif - -/* End: bn_mp_exch.c */ - -/* Start: bn_mp_expt_d.c */ -#include -#ifdef BN_MP_EXPT_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* calculate c = a**b using a square-multiply algorithm */ -int mp_expt_d (mp_int * a, mp_digit b, mp_int * c) -{ - int res, x; - mp_int g; - - if ((res = mp_init_copy (&g, a)) != MP_OKAY) { - return res; - } - - /* set initial result */ - mp_set (c, 1); - - for (x = 0; x < (int) DIGIT_BIT; x++) { - /* square */ - if ((res = mp_sqr (c, c)) != MP_OKAY) { - mp_clear (&g); - return res; - } - - /* if the bit is set multiply */ - if ((b & (mp_digit) (((mp_digit)1) << (DIGIT_BIT - 1))) != 0) { - if ((res = mp_mul (c, &g, c)) != MP_OKAY) { - mp_clear (&g); - return res; - } - } - - /* shift to next bit */ - b <<= 1; - } - - mp_clear (&g); - return MP_OKAY; -} -#endif - -/* End: bn_mp_expt_d.c */ - -/* Start: bn_mp_exptmod.c */ -#include -#ifdef BN_MP_EXPTMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - - -/* this is a shell function that calls either the normal or Montgomery - * exptmod functions. Originally the call to the montgomery code was - * embedded in the normal function but that wasted alot of stack space - * for nothing (since 99% of the time the Montgomery code would be called) - */ -int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) -{ - int dr; - - /* modulus P must be positive */ - if (P->sign == MP_NEG) { - return MP_VAL; - } - - /* if exponent X is negative we have to recurse */ - if (X->sign == MP_NEG) { -#ifdef BN_MP_INVMOD_C - mp_int tmpG, tmpX; - int err; - - /* first compute 1/G mod P */ - if ((err = mp_init(&tmpG)) != MP_OKAY) { - return err; - } - if ((err = mp_invmod(G, P, &tmpG)) != MP_OKAY) { - mp_clear(&tmpG); - return err; - } - - /* now get |X| */ - if ((err = mp_init(&tmpX)) != MP_OKAY) { - mp_clear(&tmpG); - return err; - } - if ((err = mp_abs(X, &tmpX)) != MP_OKAY) { - mp_clear_multi(&tmpG, &tmpX, NULL); - return err; - } - - /* and now compute (1/G)**|X| instead of G**X [X < 0] */ - err = mp_exptmod(&tmpG, &tmpX, P, Y); - mp_clear_multi(&tmpG, &tmpX, NULL); - return err; -#else - /* no invmod */ - return MP_VAL; -#endif - } - -/* modified diminished radix reduction */ -#if defined(BN_MP_REDUCE_IS_2K_L_C) && defined(BN_MP_REDUCE_2K_L_C) && defined(BN_S_MP_EXPTMOD_C) - if (mp_reduce_is_2k_l(P) == MP_YES) { - return s_mp_exptmod(G, X, P, Y, 1); - } -#endif - -#ifdef BN_MP_DR_IS_MODULUS_C - /* is it a DR modulus? */ - dr = mp_dr_is_modulus(P); -#else - /* default to no */ - dr = 0; -#endif - -#ifdef BN_MP_REDUCE_IS_2K_C - /* if not, is it a unrestricted DR modulus? */ - if (dr == 0) { - dr = mp_reduce_is_2k(P) << 1; - } -#endif - - /* if the modulus is odd or dr != 0 use the montgomery method */ -#ifdef BN_MP_EXPTMOD_FAST_C - if (mp_isodd (P) == 1 || dr != 0) { - return mp_exptmod_fast (G, X, P, Y, dr); - } else { -#endif -#ifdef BN_S_MP_EXPTMOD_C - /* otherwise use the generic Barrett reduction technique */ - return s_mp_exptmod (G, X, P, Y, 0); -#else - /* no exptmod for evens */ - return MP_VAL; -#endif -#ifdef BN_MP_EXPTMOD_FAST_C - } -#endif -} - -#endif - -/* End: bn_mp_exptmod.c */ - -/* Start: bn_mp_exptmod_fast.c */ -#include -#ifdef BN_MP_EXPTMOD_FAST_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* computes Y == G**X mod P, HAC pp.616, Algorithm 14.85 - * - * Uses a left-to-right k-ary sliding window to compute the modular exponentiation. - * The value of k changes based on the size of the exponent. - * - * Uses Montgomery or Diminished Radix reduction [whichever appropriate] - */ - -#ifdef MP_LOW_MEM - #define TAB_SIZE 32 -#else - #define TAB_SIZE 256 -#endif - -int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) -{ - mp_int M[TAB_SIZE], res; - mp_digit buf, mp; - int err, bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize; - - /* use a pointer to the reduction algorithm. This allows us to use - * one of many reduction algorithms without modding the guts of - * the code with if statements everywhere. - */ - int (*redux)(mp_int*,mp_int*,mp_digit); - - /* find window size */ - x = mp_count_bits (X); - if (x <= 7) { - winsize = 2; - } else if (x <= 36) { - winsize = 3; - } else if (x <= 140) { - winsize = 4; - } else if (x <= 450) { - winsize = 5; - } else if (x <= 1303) { - winsize = 6; - } else if (x <= 3529) { - winsize = 7; - } else { - winsize = 8; - } - -#ifdef MP_LOW_MEM - if (winsize > 5) { - winsize = 5; - } -#endif - - /* init M array */ - /* init first cell */ - if ((err = mp_init(&M[1])) != MP_OKAY) { - return err; - } - - /* now init the second half of the array */ - for (x = 1<<(winsize-1); x < (1 << winsize); x++) { - if ((err = mp_init(&M[x])) != MP_OKAY) { - for (y = 1<<(winsize-1); y < x; y++) { - mp_clear (&M[y]); - } - mp_clear(&M[1]); - return err; - } - } - - /* determine and setup reduction code */ - if (redmode == 0) { -#ifdef BN_MP_MONTGOMERY_SETUP_C - /* now setup montgomery */ - if ((err = mp_montgomery_setup (P, &mp)) != MP_OKAY) { - goto LBL_M; - } -#else - err = MP_VAL; - goto LBL_M; -#endif - - /* automatically pick the comba one if available (saves quite a few calls/ifs) */ -#ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C - if (((P->used * 2 + 1) < MP_WARRAY) && - P->used < (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { - redux = fast_mp_montgomery_reduce; - } else -#endif - { -#ifdef BN_MP_MONTGOMERY_REDUCE_C - /* use slower baseline Montgomery method */ - redux = mp_montgomery_reduce; -#else - err = MP_VAL; - goto LBL_M; -#endif - } - } else if (redmode == 1) { -#if defined(BN_MP_DR_SETUP_C) && defined(BN_MP_DR_REDUCE_C) - /* setup DR reduction for moduli of the form B**k - b */ - mp_dr_setup(P, &mp); - redux = mp_dr_reduce; -#else - err = MP_VAL; - goto LBL_M; -#endif - } else { -#if defined(BN_MP_REDUCE_2K_SETUP_C) && defined(BN_MP_REDUCE_2K_C) - /* setup DR reduction for moduli of the form 2**k - b */ - if ((err = mp_reduce_2k_setup(P, &mp)) != MP_OKAY) { - goto LBL_M; - } - redux = mp_reduce_2k; -#else - err = MP_VAL; - goto LBL_M; -#endif - } - - /* setup result */ - if ((err = mp_init (&res)) != MP_OKAY) { - goto LBL_M; - } - - /* create M table - * - - * - * The first half of the table is not computed though accept for M[0] and M[1] - */ - - if (redmode == 0) { -#ifdef BN_MP_MONTGOMERY_CALC_NORMALIZATION_C - /* now we need R mod m */ - if ((err = mp_montgomery_calc_normalization (&res, P)) != MP_OKAY) { - goto LBL_RES; - } -#else - err = MP_VAL; - goto LBL_RES; -#endif - - /* now set M[1] to G * R mod m */ - if ((err = mp_mulmod (G, &res, P, &M[1])) != MP_OKAY) { - goto LBL_RES; - } - } else { - mp_set(&res, 1); - if ((err = mp_mod(G, P, &M[1])) != MP_OKAY) { - goto LBL_RES; - } - } - - /* compute the value at M[1<<(winsize-1)] by squaring M[1] (winsize-1) times */ - if ((err = mp_copy (&M[1], &M[1 << (winsize - 1)])) != MP_OKAY) { - goto LBL_RES; - } - - for (x = 0; x < (winsize - 1); x++) { - if ((err = mp_sqr (&M[1 << (winsize - 1)], &M[1 << (winsize - 1)])) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&M[1 << (winsize - 1)], P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* create upper table */ - for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) { - if ((err = mp_mul (&M[x - 1], &M[1], &M[x])) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&M[x], P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* set initial mode and bit cnt */ - mode = 0; - bitcnt = 1; - buf = 0; - digidx = X->used - 1; - bitcpy = 0; - bitbuf = 0; - - for (;;) { - /* grab next digit as required */ - if (--bitcnt == 0) { - /* if digidx == -1 we are out of digits so break */ - if (digidx == -1) { - break; - } - /* read next digit and reset bitcnt */ - buf = X->dp[digidx--]; - bitcnt = (int)DIGIT_BIT; - } - - /* grab the next msb from the exponent */ - y = (mp_digit)(buf >> (DIGIT_BIT - 1)) & 1; - buf <<= (mp_digit)1; - - /* if the bit is zero and mode == 0 then we ignore it - * These represent the leading zero bits before the first 1 bit - * in the exponent. Technically this opt is not required but it - * does lower the # of trivial squaring/reductions used - */ - if (mode == 0 && y == 0) { - continue; - } - - /* if the bit is zero and mode == 1 then we square */ - if (mode == 1 && y == 0) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - continue; - } - - /* else we add it to the window */ - bitbuf |= (y << (winsize - ++bitcpy)); - mode = 2; - - if (bitcpy == winsize) { - /* ok window is filled so square as required and multiply */ - /* square first */ - for (x = 0; x < winsize; x++) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* then multiply */ - if ((err = mp_mul (&res, &M[bitbuf], &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - - /* empty window and reset */ - bitcpy = 0; - bitbuf = 0; - mode = 1; - } - } - - /* if bits remain then square/multiply */ - if (mode == 2 && bitcpy > 0) { - /* square then multiply if the bit is set */ - for (x = 0; x < bitcpy; x++) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - - /* get next bit of the window */ - bitbuf <<= 1; - if ((bitbuf & (1 << winsize)) != 0) { - /* then multiply */ - if ((err = mp_mul (&res, &M[1], &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - } - } - - if (redmode == 0) { - /* fixup result if Montgomery reduction is used - * recall that any value in a Montgomery system is - * actually multiplied by R mod n. So we have - * to reduce one more time to cancel out the factor - * of R. - */ - if ((err = redux(&res, P, mp)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* swap res with Y */ - mp_exch (&res, Y); - err = MP_OKAY; -LBL_RES:mp_clear (&res); -LBL_M: - mp_clear(&M[1]); - for (x = 1<<(winsize-1); x < (1 << winsize); x++) { - mp_clear (&M[x]); - } - return err; -} -#endif - -/* End: bn_mp_exptmod_fast.c */ - -/* Start: bn_mp_exteuclid.c */ -#include -#ifdef BN_MP_EXTEUCLID_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* Extended euclidean algorithm of (a, b) produces - a*u1 + b*u2 = u3 - */ -int mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3) -{ - mp_int u1,u2,u3,v1,v2,v3,t1,t2,t3,q,tmp; - int err; - - if ((err = mp_init_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL)) != MP_OKAY) { - return err; - } - - /* initialize, (u1,u2,u3) = (1,0,a) */ - mp_set(&u1, 1); - if ((err = mp_copy(a, &u3)) != MP_OKAY) { goto _ERR; } - - /* initialize, (v1,v2,v3) = (0,1,b) */ - mp_set(&v2, 1); - if ((err = mp_copy(b, &v3)) != MP_OKAY) { goto _ERR; } - - /* loop while v3 != 0 */ - while (mp_iszero(&v3) == MP_NO) { - /* q = u3/v3 */ - if ((err = mp_div(&u3, &v3, &q, NULL)) != MP_OKAY) { goto _ERR; } - - /* (t1,t2,t3) = (u1,u2,u3) - (v1,v2,v3)q */ - if ((err = mp_mul(&v1, &q, &tmp)) != MP_OKAY) { goto _ERR; } - if ((err = mp_sub(&u1, &tmp, &t1)) != MP_OKAY) { goto _ERR; } - if ((err = mp_mul(&v2, &q, &tmp)) != MP_OKAY) { goto _ERR; } - if ((err = mp_sub(&u2, &tmp, &t2)) != MP_OKAY) { goto _ERR; } - if ((err = mp_mul(&v3, &q, &tmp)) != MP_OKAY) { goto _ERR; } - if ((err = mp_sub(&u3, &tmp, &t3)) != MP_OKAY) { goto _ERR; } - - /* (u1,u2,u3) = (v1,v2,v3) */ - if ((err = mp_copy(&v1, &u1)) != MP_OKAY) { goto _ERR; } - if ((err = mp_copy(&v2, &u2)) != MP_OKAY) { goto _ERR; } - if ((err = mp_copy(&v3, &u3)) != MP_OKAY) { goto _ERR; } - - /* (v1,v2,v3) = (t1,t2,t3) */ - if ((err = mp_copy(&t1, &v1)) != MP_OKAY) { goto _ERR; } - if ((err = mp_copy(&t2, &v2)) != MP_OKAY) { goto _ERR; } - if ((err = mp_copy(&t3, &v3)) != MP_OKAY) { goto _ERR; } - } - - /* make sure U3 >= 0 */ - if (u3.sign == MP_NEG) { - mp_neg(&u1, &u1); - mp_neg(&u2, &u2); - mp_neg(&u3, &u3); - } - - /* copy result out */ - if (U1 != NULL) { mp_exch(U1, &u1); } - if (U2 != NULL) { mp_exch(U2, &u2); } - if (U3 != NULL) { mp_exch(U3, &u3); } - - err = MP_OKAY; -_ERR: mp_clear_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL); - return err; -} -#endif - -/* End: bn_mp_exteuclid.c */ - -/* Start: bn_mp_fread.c */ -#include -#ifdef BN_MP_FREAD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* read a bigint from a file stream in ASCII */ -int mp_fread(mp_int *a, int radix, FILE *stream) -{ - int err, ch, neg, y; - - /* clear a */ - mp_zero(a); - - /* if first digit is - then set negative */ - ch = fgetc(stream); - if (ch == '-') { - neg = MP_NEG; - ch = fgetc(stream); - } else { - neg = MP_ZPOS; - } - - for (;;) { - /* find y in the radix map */ - for (y = 0; y < radix; y++) { - if (mp_s_rmap[y] == ch) { - break; - } - } - if (y == radix) { - break; - } - - /* shift up and add */ - if ((err = mp_mul_d(a, radix, a)) != MP_OKAY) { - return err; - } - if ((err = mp_add_d(a, y, a)) != MP_OKAY) { - return err; - } - - ch = fgetc(stream); - } - if (mp_cmp_d(a, 0) != MP_EQ) { - a->sign = neg; - } - - return MP_OKAY; -} - -#endif - -/* End: bn_mp_fread.c */ - -/* Start: bn_mp_fwrite.c */ -#include -#ifdef BN_MP_FWRITE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -int mp_fwrite(mp_int *a, int radix, FILE *stream) -{ - char *buf; - int err, len, x; - - if ((err = mp_radix_size(a, radix, &len)) != MP_OKAY) { - return err; - } - - buf = OPT_CAST(char) XMALLOC (len); - if (buf == NULL) { - return MP_MEM; - } - - if ((err = mp_toradix(a, buf, radix)) != MP_OKAY) { - XFREE (buf); - return err; - } - - for (x = 0; x < len; x++) { - if (fputc(buf[x], stream) == EOF) { - XFREE (buf); - return MP_VAL; - } - } - - XFREE (buf); - return MP_OKAY; -} - -#endif - -/* End: bn_mp_fwrite.c */ - -/* Start: bn_mp_gcd.c */ -#include -#ifdef BN_MP_GCD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* Greatest Common Divisor using the binary method */ -int mp_gcd (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int u, v; - int k, u_lsb, v_lsb, res; - - /* either zero than gcd is the largest */ - if (mp_iszero (a) == MP_YES) { - return mp_abs (b, c); - } - if (mp_iszero (b) == MP_YES) { - return mp_abs (a, c); - } - - /* get copies of a and b we can modify */ - if ((res = mp_init_copy (&u, a)) != MP_OKAY) { - return res; - } - - if ((res = mp_init_copy (&v, b)) != MP_OKAY) { - goto LBL_U; - } - - /* must be positive for the remainder of the algorithm */ - u.sign = v.sign = MP_ZPOS; - - /* B1. Find the common power of two for u and v */ - u_lsb = mp_cnt_lsb(&u); - v_lsb = mp_cnt_lsb(&v); - k = MIN(u_lsb, v_lsb); - - if (k > 0) { - /* divide the power of two out */ - if ((res = mp_div_2d(&u, k, &u, NULL)) != MP_OKAY) { - goto LBL_V; - } - - if ((res = mp_div_2d(&v, k, &v, NULL)) != MP_OKAY) { - goto LBL_V; - } - } - - /* divide any remaining factors of two out */ - if (u_lsb != k) { - if ((res = mp_div_2d(&u, u_lsb - k, &u, NULL)) != MP_OKAY) { - goto LBL_V; - } - } - - if (v_lsb != k) { - if ((res = mp_div_2d(&v, v_lsb - k, &v, NULL)) != MP_OKAY) { - goto LBL_V; - } - } - - while (mp_iszero(&v) == 0) { - /* make sure v is the largest */ - if (mp_cmp_mag(&u, &v) == MP_GT) { - /* swap u and v to make sure v is >= u */ - mp_exch(&u, &v); - } - - /* subtract smallest from largest */ - if ((res = s_mp_sub(&v, &u, &v)) != MP_OKAY) { - goto LBL_V; - } - - /* Divide out all factors of two */ - if ((res = mp_div_2d(&v, mp_cnt_lsb(&v), &v, NULL)) != MP_OKAY) { - goto LBL_V; - } - } - - /* multiply by 2**k which we divided out at the beginning */ - if ((res = mp_mul_2d (&u, k, c)) != MP_OKAY) { - goto LBL_V; - } - c->sign = MP_ZPOS; - res = MP_OKAY; -LBL_V:mp_clear (&u); -LBL_U:mp_clear (&v); - return res; -} -#endif - -/* End: bn_mp_gcd.c */ - -/* Start: bn_mp_get_int.c */ -#include -#ifdef BN_MP_GET_INT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* get the lower 32-bits of an mp_int */ -unsigned long mp_get_int(mp_int * a) -{ - int i; - unsigned long res; - - if (a->used == 0) { - return 0; - } - - /* get number of digits of the lsb we have to read */ - i = MIN(a->used,(int)((sizeof(unsigned long)*CHAR_BIT+DIGIT_BIT-1)/DIGIT_BIT))-1; - - /* get most significant digit of result */ - res = DIGIT(a,i); - - while (--i >= 0) { - res = (res << DIGIT_BIT) | DIGIT(a,i); - } - - /* force result to 32-bits always so it is consistent on non 32-bit platforms */ - return res & 0xFFFFFFFFUL; -} -#endif - -/* End: bn_mp_get_int.c */ - -/* Start: bn_mp_grow.c */ -#include -#ifdef BN_MP_GROW_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* grow as required */ -int mp_grow (mp_int * a, int size) -{ - int i; - mp_digit *tmp; - - /* if the alloc size is smaller alloc more ram */ - if (a->alloc < size) { - /* ensure there are always at least MP_PREC digits extra on top */ - size += (MP_PREC * 2) - (size % MP_PREC); - - /* reallocate the array a->dp - * - * We store the return in a temporary variable - * in case the operation failed we don't want - * to overwrite the dp member of a. - */ - tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * size); - if (tmp == NULL) { - /* reallocation failed but "a" is still valid [can be freed] */ - return MP_MEM; - } - - /* reallocation succeeded so set a->dp */ - a->dp = tmp; - - /* zero excess digits */ - i = a->alloc; - a->alloc = size; - for (; i < a->alloc; i++) { - a->dp[i] = 0; - } - } - return MP_OKAY; -} -#endif - -/* End: bn_mp_grow.c */ - -/* Start: bn_mp_init.c */ -#include -#ifdef BN_MP_INIT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* init a new mp_int */ -int mp_init (mp_int * a) -{ - int i; - - /* allocate memory required and clear it */ - a->dp = OPT_CAST(mp_digit) XMALLOC (sizeof (mp_digit) * MP_PREC); - if (a->dp == NULL) { - return MP_MEM; - } - - /* set the digits to zero */ - for (i = 0; i < MP_PREC; i++) { - a->dp[i] = 0; - } - - /* set the used to zero, allocated digits to the default precision - * and sign to positive */ - a->used = 0; - a->alloc = MP_PREC; - a->sign = MP_ZPOS; - - return MP_OKAY; -} -#endif - -/* End: bn_mp_init.c */ - -/* Start: bn_mp_init_copy.c */ -#include -#ifdef BN_MP_INIT_COPY_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* creates "a" then copies b into it */ -int mp_init_copy (mp_int * a, mp_int * b) -{ - int res; - - if ((res = mp_init (a)) != MP_OKAY) { - return res; - } - return mp_copy (b, a); -} -#endif - -/* End: bn_mp_init_copy.c */ - -/* Start: bn_mp_init_multi.c */ -#include -#ifdef BN_MP_INIT_MULTI_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ -#include - -int mp_init_multi(mp_int *mp, ...) -{ - mp_err res = MP_OKAY; /* Assume ok until proven otherwise */ - int n = 0; /* Number of ok inits */ - mp_int* cur_arg = mp; - va_list args; - - va_start(args, mp); /* init args to next argument from caller */ - while (cur_arg != NULL) { - if (mp_init(cur_arg) != MP_OKAY) { - /* Oops - error! Back-track and mp_clear what we already - succeeded in init-ing, then return error. - */ - va_list clean_args; - - /* end the current list */ - va_end(args); - - /* now start cleaning up */ - cur_arg = mp; - va_start(clean_args, mp); - while (n--) { - mp_clear(cur_arg); - cur_arg = va_arg(clean_args, mp_int*); - } - va_end(clean_args); - res = MP_MEM; - break; - } - n++; - cur_arg = va_arg(args, mp_int*); - } - va_end(args); - return res; /* Assumed ok, if error flagged above. */ -} - -#endif - -/* End: bn_mp_init_multi.c */ - -/* Start: bn_mp_init_set.c */ -#include -#ifdef BN_MP_INIT_SET_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* initialize and set a digit */ -int mp_init_set (mp_int * a, mp_digit b) -{ - int err; - if ((err = mp_init(a)) != MP_OKAY) { - return err; - } - mp_set(a, b); - return err; -} -#endif - -/* End: bn_mp_init_set.c */ - -/* Start: bn_mp_init_set_int.c */ -#include -#ifdef BN_MP_INIT_SET_INT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* initialize and set a digit */ -int mp_init_set_int (mp_int * a, unsigned long b) -{ - int err; - if ((err = mp_init(a)) != MP_OKAY) { - return err; - } - return mp_set_int(a, b); -} -#endif - -/* End: bn_mp_init_set_int.c */ - -/* Start: bn_mp_init_size.c */ -#include -#ifdef BN_MP_INIT_SIZE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* init an mp_init for a given size */ -int mp_init_size (mp_int * a, int size) -{ - int x; - - /* pad size so there are always extra digits */ - size += (MP_PREC * 2) - (size % MP_PREC); - - /* alloc mem */ - a->dp = OPT_CAST(mp_digit) XMALLOC (sizeof (mp_digit) * size); - if (a->dp == NULL) { - return MP_MEM; - } - - /* set the members */ - a->used = 0; - a->alloc = size; - a->sign = MP_ZPOS; - - /* zero the digits */ - for (x = 0; x < size; x++) { - a->dp[x] = 0; - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_init_size.c */ - -/* Start: bn_mp_invmod.c */ -#include -#ifdef BN_MP_INVMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* hac 14.61, pp608 */ -int mp_invmod (mp_int * a, mp_int * b, mp_int * c) -{ - /* b cannot be negative */ - if (b->sign == MP_NEG || mp_iszero(b) == 1) { - return MP_VAL; - } - -#ifdef BN_FAST_MP_INVMOD_C - /* if the modulus is odd we can use a faster routine instead */ - if (mp_isodd (b) == 1) { - return fast_mp_invmod (a, b, c); - } -#endif - -#ifdef BN_MP_INVMOD_SLOW_C - return mp_invmod_slow(a, b, c); -#endif - - return MP_VAL; -} -#endif - -/* End: bn_mp_invmod.c */ - -/* Start: bn_mp_invmod_slow.c */ -#include -#ifdef BN_MP_INVMOD_SLOW_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* hac 14.61, pp608 */ -int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int x, y, u, v, A, B, C, D; - int res; - - /* b cannot be negative */ - if (b->sign == MP_NEG || mp_iszero(b) == 1) { - return MP_VAL; - } - - /* init temps */ - if ((res = mp_init_multi(&x, &y, &u, &v, - &A, &B, &C, &D, NULL)) != MP_OKAY) { - return res; - } - - /* x = a, y = b */ - if ((res = mp_mod(a, b, &x)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_copy (b, &y)) != MP_OKAY) { - goto LBL_ERR; - } - - /* 2. [modified] if x,y are both even then return an error! */ - if (mp_iseven (&x) == 1 && mp_iseven (&y) == 1) { - res = MP_VAL; - goto LBL_ERR; - } - - /* 3. u=x, v=y, A=1, B=0, C=0,D=1 */ - if ((res = mp_copy (&x, &u)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_copy (&y, &v)) != MP_OKAY) { - goto LBL_ERR; - } - mp_set (&A, 1); - mp_set (&D, 1); - -top: - /* 4. while u is even do */ - while (mp_iseven (&u) == 1) { - /* 4.1 u = u/2 */ - if ((res = mp_div_2 (&u, &u)) != MP_OKAY) { - goto LBL_ERR; - } - /* 4.2 if A or B is odd then */ - if (mp_isodd (&A) == 1 || mp_isodd (&B) == 1) { - /* A = (A+y)/2, B = (B-x)/2 */ - if ((res = mp_add (&A, &y, &A)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_sub (&B, &x, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } - /* A = A/2, B = B/2 */ - if ((res = mp_div_2 (&A, &A)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_div_2 (&B, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* 5. while v is even do */ - while (mp_iseven (&v) == 1) { - /* 5.1 v = v/2 */ - if ((res = mp_div_2 (&v, &v)) != MP_OKAY) { - goto LBL_ERR; - } - /* 5.2 if C or D is odd then */ - if (mp_isodd (&C) == 1 || mp_isodd (&D) == 1) { - /* C = (C+y)/2, D = (D-x)/2 */ - if ((res = mp_add (&C, &y, &C)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_sub (&D, &x, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - /* C = C/2, D = D/2 */ - if ((res = mp_div_2 (&C, &C)) != MP_OKAY) { - goto LBL_ERR; - } - if ((res = mp_div_2 (&D, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* 6. if u >= v then */ - if (mp_cmp (&u, &v) != MP_LT) { - /* u = u - v, A = A - C, B = B - D */ - if ((res = mp_sub (&u, &v, &u)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub (&A, &C, &A)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub (&B, &D, &B)) != MP_OKAY) { - goto LBL_ERR; - } - } else { - /* v - v - u, C = C - A, D = D - B */ - if ((res = mp_sub (&v, &u, &v)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub (&C, &A, &C)) != MP_OKAY) { - goto LBL_ERR; - } - - if ((res = mp_sub (&D, &B, &D)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* if not zero goto step 4 */ - if (mp_iszero (&u) == 0) - goto top; - - /* now a = C, b = D, gcd == g*v */ - - /* if v != 1 then there is no inverse */ - if (mp_cmp_d (&v, 1) != MP_EQ) { - res = MP_VAL; - goto LBL_ERR; - } - - /* if its too low */ - while (mp_cmp_d(&C, 0) == MP_LT) { - if ((res = mp_add(&C, b, &C)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* too big */ - while (mp_cmp_mag(&C, b) != MP_LT) { - if ((res = mp_sub(&C, b, &C)) != MP_OKAY) { - goto LBL_ERR; - } - } - - /* C is now the inverse */ - mp_exch (&C, c); - res = MP_OKAY; -LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); - return res; -} -#endif - -/* End: bn_mp_invmod_slow.c */ - -/* Start: bn_mp_is_square.c */ -#include -#ifdef BN_MP_IS_SQUARE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* Check if remainders are possible squares - fast exclude non-squares */ -static const char rem_128[128] = { - 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1 -}; - -static const char rem_105[105] = { - 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, - 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, - 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, - 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, - 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, - 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, - 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1 -}; - -/* Store non-zero to ret if arg is square, and zero if not */ -int mp_is_square(mp_int *arg,int *ret) -{ - int res; - mp_digit c; - mp_int t; - unsigned long r; - - /* Default to Non-square :) */ - *ret = MP_NO; - - if (arg->sign == MP_NEG) { - return MP_VAL; - } - - /* digits used? (TSD) */ - if (arg->used == 0) { - return MP_OKAY; - } - - /* First check mod 128 (suppose that DIGIT_BIT is at least 7) */ - if (rem_128[127 & DIGIT(arg,0)] == 1) { - return MP_OKAY; - } - - /* Next check mod 105 (3*5*7) */ - if ((res = mp_mod_d(arg,105,&c)) != MP_OKAY) { - return res; - } - if (rem_105[c] == 1) { - return MP_OKAY; - } - - - if ((res = mp_init_set_int(&t,11L*13L*17L*19L*23L*29L*31L)) != MP_OKAY) { - return res; - } - if ((res = mp_mod(arg,&t,&t)) != MP_OKAY) { - goto ERR; - } - r = mp_get_int(&t); - /* Check for other prime modules, note it's not an ERROR but we must - * free "t" so the easiest way is to goto ERR. We know that res - * is already equal to MP_OKAY from the mp_mod call - */ - if ( (1L<<(r%11)) & 0x5C4L ) goto ERR; - if ( (1L<<(r%13)) & 0x9E4L ) goto ERR; - if ( (1L<<(r%17)) & 0x5CE8L ) goto ERR; - if ( (1L<<(r%19)) & 0x4F50CL ) goto ERR; - if ( (1L<<(r%23)) & 0x7ACCA0L ) goto ERR; - if ( (1L<<(r%29)) & 0xC2EDD0CL ) goto ERR; - if ( (1L<<(r%31)) & 0x6DE2B848L ) goto ERR; - - /* Final check - is sqr(sqrt(arg)) == arg ? */ - if ((res = mp_sqrt(arg,&t)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sqr(&t,&t)) != MP_OKAY) { - goto ERR; - } - - *ret = (mp_cmp_mag(&t,arg) == MP_EQ) ? MP_YES : MP_NO; -ERR:mp_clear(&t); - return res; -} -#endif - -/* End: bn_mp_is_square.c */ - -/* Start: bn_mp_jacobi.c */ -#include -#ifdef BN_MP_JACOBI_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* computes the jacobi c = (a | n) (or Legendre if n is prime) - * HAC pp. 73 Algorithm 2.149 - */ -int mp_jacobi (mp_int * a, mp_int * p, int *c) -{ - mp_int a1, p1; - int k, s, r, res; - mp_digit residue; - - /* if p <= 0 return MP_VAL */ - if (mp_cmp_d(p, 0) != MP_GT) { - return MP_VAL; - } - - /* step 1. if a == 0, return 0 */ - if (mp_iszero (a) == 1) { - *c = 0; - return MP_OKAY; - } - - /* step 2. if a == 1, return 1 */ - if (mp_cmp_d (a, 1) == MP_EQ) { - *c = 1; - return MP_OKAY; - } - - /* default */ - s = 0; - - /* step 3. write a = a1 * 2**k */ - if ((res = mp_init_copy (&a1, a)) != MP_OKAY) { - return res; - } - - if ((res = mp_init (&p1)) != MP_OKAY) { - goto LBL_A1; - } - - /* divide out larger power of two */ - k = mp_cnt_lsb(&a1); - if ((res = mp_div_2d(&a1, k, &a1, NULL)) != MP_OKAY) { - goto LBL_P1; - } - - /* step 4. if e is even set s=1 */ - if ((k & 1) == 0) { - s = 1; - } else { - /* else set s=1 if p = 1/7 (mod 8) or s=-1 if p = 3/5 (mod 8) */ - residue = p->dp[0] & 7; - - if (residue == 1 || residue == 7) { - s = 1; - } else if (residue == 3 || residue == 5) { - s = -1; - } - } - - /* step 5. if p == 3 (mod 4) *and* a1 == 3 (mod 4) then s = -s */ - if ( ((p->dp[0] & 3) == 3) && ((a1.dp[0] & 3) == 3)) { - s = -s; - } - - /* if a1 == 1 we're done */ - if (mp_cmp_d (&a1, 1) == MP_EQ) { - *c = s; - } else { - /* n1 = n mod a1 */ - if ((res = mp_mod (p, &a1, &p1)) != MP_OKAY) { - goto LBL_P1; - } - if ((res = mp_jacobi (&p1, &a1, &r)) != MP_OKAY) { - goto LBL_P1; - } - *c = s * r; - } - - /* done */ - res = MP_OKAY; -LBL_P1:mp_clear (&p1); -LBL_A1:mp_clear (&a1); - return res; -} -#endif - -/* End: bn_mp_jacobi.c */ - -/* Start: bn_mp_karatsuba_mul.c */ -#include -#ifdef BN_MP_KARATSUBA_MUL_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* c = |a| * |b| using Karatsuba Multiplication using - * three half size multiplications - * - * Let B represent the radix [e.g. 2**DIGIT_BIT] and - * let n represent half of the number of digits in - * the min(a,b) - * - * a = a1 * B**n + a0 - * b = b1 * B**n + b0 - * - * Then, a * b => - a1b1 * B**2n + ((a1 + a0)(b1 + b0) - (a0b0 + a1b1)) * B + a0b0 - * - * Note that a1b1 and a0b0 are used twice and only need to be - * computed once. So in total three half size (half # of - * digit) multiplications are performed, a0b0, a1b1 and - * (a1+b1)(a0+b0) - * - * Note that a multiplication of half the digits requires - * 1/4th the number of single precision multiplications so in - * total after one call 25% of the single precision multiplications - * are saved. Note also that the call to mp_mul can end up back - * in this function if the a0, a1, b0, or b1 are above the threshold. - * This is known as divide-and-conquer and leads to the famous - * O(N**lg(3)) or O(N**1.584) work which is asymptopically lower than - * the standard O(N**2) that the baseline/comba methods use. - * Generally though the overhead of this method doesn't pay off - * until a certain size (N ~ 80) is reached. - */ -int mp_karatsuba_mul (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int x0, x1, y0, y1, t1, x0y0, x1y1; - int B, err; - - /* default the return code to an error */ - err = MP_MEM; - - /* min # of digits */ - B = MIN (a->used, b->used); - - /* now divide in two */ - B = B >> 1; - - /* init copy all the temps */ - if (mp_init_size (&x0, B) != MP_OKAY) - goto ERR; - if (mp_init_size (&x1, a->used - B) != MP_OKAY) - goto X0; - if (mp_init_size (&y0, B) != MP_OKAY) - goto X1; - if (mp_init_size (&y1, b->used - B) != MP_OKAY) - goto Y0; - - /* init temps */ - if (mp_init_size (&t1, B * 2) != MP_OKAY) - goto Y1; - if (mp_init_size (&x0y0, B * 2) != MP_OKAY) - goto T1; - if (mp_init_size (&x1y1, B * 2) != MP_OKAY) - goto X0Y0; - - /* now shift the digits */ - x0.used = y0.used = B; - x1.used = a->used - B; - y1.used = b->used - B; - - { - register int x; - register mp_digit *tmpa, *tmpb, *tmpx, *tmpy; - - /* we copy the digits directly instead of using higher level functions - * since we also need to shift the digits - */ - tmpa = a->dp; - tmpb = b->dp; - - tmpx = x0.dp; - tmpy = y0.dp; - for (x = 0; x < B; x++) { - *tmpx++ = *tmpa++; - *tmpy++ = *tmpb++; - } - - tmpx = x1.dp; - for (x = B; x < a->used; x++) { - *tmpx++ = *tmpa++; - } - - tmpy = y1.dp; - for (x = B; x < b->used; x++) { - *tmpy++ = *tmpb++; - } - } - - /* only need to clamp the lower words since by definition the - * upper words x1/y1 must have a known number of digits - */ - mp_clamp (&x0); - mp_clamp (&y0); - - /* now calc the products x0y0 and x1y1 */ - /* after this x0 is no longer required, free temp [x0==t2]! */ - if (mp_mul (&x0, &y0, &x0y0) != MP_OKAY) - goto X1Y1; /* x0y0 = x0*y0 */ - if (mp_mul (&x1, &y1, &x1y1) != MP_OKAY) - goto X1Y1; /* x1y1 = x1*y1 */ - - /* now calc x1+x0 and y1+y0 */ - if (s_mp_add (&x1, &x0, &t1) != MP_OKAY) - goto X1Y1; /* t1 = x1 - x0 */ - if (s_mp_add (&y1, &y0, &x0) != MP_OKAY) - goto X1Y1; /* t2 = y1 - y0 */ - if (mp_mul (&t1, &x0, &t1) != MP_OKAY) - goto X1Y1; /* t1 = (x1 + x0) * (y1 + y0) */ - - /* add x0y0 */ - if (mp_add (&x0y0, &x1y1, &x0) != MP_OKAY) - goto X1Y1; /* t2 = x0y0 + x1y1 */ - if (s_mp_sub (&t1, &x0, &t1) != MP_OKAY) - goto X1Y1; /* t1 = (x1+x0)*(y1+y0) - (x1y1 + x0y0) */ - - /* shift by B */ - if (mp_lshd (&t1, B) != MP_OKAY) - goto X1Y1; /* t1 = (x0y0 + x1y1 - (x1-x0)*(y1-y0))< -#ifdef BN_MP_KARATSUBA_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* Karatsuba squaring, computes b = a*a using three - * half size squarings - * - * See comments of karatsuba_mul for details. It - * is essentially the same algorithm but merely - * tuned to perform recursive squarings. - */ -int mp_karatsuba_sqr (mp_int * a, mp_int * b) -{ - mp_int x0, x1, t1, t2, x0x0, x1x1; - int B, err; - - err = MP_MEM; - - /* min # of digits */ - B = a->used; - - /* now divide in two */ - B = B >> 1; - - /* init copy all the temps */ - if (mp_init_size (&x0, B) != MP_OKAY) - goto ERR; - if (mp_init_size (&x1, a->used - B) != MP_OKAY) - goto X0; - - /* init temps */ - if (mp_init_size (&t1, a->used * 2) != MP_OKAY) - goto X1; - if (mp_init_size (&t2, a->used * 2) != MP_OKAY) - goto T1; - if (mp_init_size (&x0x0, B * 2) != MP_OKAY) - goto T2; - if (mp_init_size (&x1x1, (a->used - B) * 2) != MP_OKAY) - goto X0X0; - - { - register int x; - register mp_digit *dst, *src; - - src = a->dp; - - /* now shift the digits */ - dst = x0.dp; - for (x = 0; x < B; x++) { - *dst++ = *src++; - } - - dst = x1.dp; - for (x = B; x < a->used; x++) { - *dst++ = *src++; - } - } - - x0.used = B; - x1.used = a->used - B; - - mp_clamp (&x0); - - /* now calc the products x0*x0 and x1*x1 */ - if (mp_sqr (&x0, &x0x0) != MP_OKAY) - goto X1X1; /* x0x0 = x0*x0 */ - if (mp_sqr (&x1, &x1x1) != MP_OKAY) - goto X1X1; /* x1x1 = x1*x1 */ - - /* now calc (x1+x0)**2 */ - if (s_mp_add (&x1, &x0, &t1) != MP_OKAY) - goto X1X1; /* t1 = x1 - x0 */ - if (mp_sqr (&t1, &t1) != MP_OKAY) - goto X1X1; /* t1 = (x1 - x0) * (x1 - x0) */ - - /* add x0y0 */ - if (s_mp_add (&x0x0, &x1x1, &t2) != MP_OKAY) - goto X1X1; /* t2 = x0x0 + x1x1 */ - if (s_mp_sub (&t1, &t2, &t1) != MP_OKAY) - goto X1X1; /* t1 = (x1+x0)**2 - (x0x0 + x1x1) */ - - /* shift by B */ - if (mp_lshd (&t1, B) != MP_OKAY) - goto X1X1; /* t1 = (x0x0 + x1x1 - (x1-x0)*(x1-x0))< -#ifdef BN_MP_LCM_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* computes least common multiple as |a*b|/(a, b) */ -int mp_lcm (mp_int * a, mp_int * b, mp_int * c) -{ - int res; - mp_int t1, t2; - - - if ((res = mp_init_multi (&t1, &t2, NULL)) != MP_OKAY) { - return res; - } - - /* t1 = get the GCD of the two inputs */ - if ((res = mp_gcd (a, b, &t1)) != MP_OKAY) { - goto LBL_T; - } - - /* divide the smallest by the GCD */ - if (mp_cmp_mag(a, b) == MP_LT) { - /* store quotient in t2 such that t2 * b is the LCM */ - if ((res = mp_div(a, &t1, &t2, NULL)) != MP_OKAY) { - goto LBL_T; - } - res = mp_mul(b, &t2, c); - } else { - /* store quotient in t2 such that t2 * a is the LCM */ - if ((res = mp_div(b, &t1, &t2, NULL)) != MP_OKAY) { - goto LBL_T; - } - res = mp_mul(a, &t2, c); - } - - /* fix the sign to positive */ - c->sign = MP_ZPOS; - -LBL_T: - mp_clear_multi (&t1, &t2, NULL); - return res; -} -#endif - -/* End: bn_mp_lcm.c */ - -/* Start: bn_mp_lshd.c */ -#include -#ifdef BN_MP_LSHD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* shift left a certain amount of digits */ -int mp_lshd (mp_int * a, int b) -{ - int x, res; - - /* if its less than zero return */ - if (b <= 0) { - return MP_OKAY; - } - - /* grow to fit the new digits */ - if (a->alloc < a->used + b) { - if ((res = mp_grow (a, a->used + b)) != MP_OKAY) { - return res; - } - } - - { - register mp_digit *top, *bottom; - - /* increment the used by the shift amount then copy upwards */ - a->used += b; - - /* top */ - top = a->dp + a->used - 1; - - /* base */ - bottom = a->dp + a->used - 1 - b; - - /* much like mp_rshd this is implemented using a sliding window - * except the window goes the otherway around. Copying from - * the bottom to the top. see bn_mp_rshd.c for more info. - */ - for (x = a->used - 1; x >= b; x--) { - *top-- = *bottom--; - } - - /* zero the lower digits */ - top = a->dp; - for (x = 0; x < b; x++) { - *top++ = 0; - } - } - return MP_OKAY; -} -#endif - -/* End: bn_mp_lshd.c */ - -/* Start: bn_mp_mod.c */ -#include -#ifdef BN_MP_MOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* c = a mod b, 0 <= c < b */ -int -mp_mod (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int t; - int res; - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - if ((res = mp_div (a, b, NULL, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - - if (t.sign != b->sign) { - res = mp_add (b, &t, c); - } else { - res = MP_OKAY; - mp_exch (&t, c); - } - - mp_clear (&t); - return res; -} -#endif - -/* End: bn_mp_mod.c */ - -/* Start: bn_mp_mod_2d.c */ -#include -#ifdef BN_MP_MOD_2D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* calc a value mod 2**b */ -int -mp_mod_2d (mp_int * a, int b, mp_int * c) -{ - int x, res; - - /* if b is <= 0 then zero the int */ - if (b <= 0) { - mp_zero (c); - return MP_OKAY; - } - - /* if the modulus is larger than the value than return */ - if (b >= (int) (a->used * DIGIT_BIT)) { - res = mp_copy (a, c); - return res; - } - - /* copy */ - if ((res = mp_copy (a, c)) != MP_OKAY) { - return res; - } - - /* zero digits above the last digit of the modulus */ - for (x = (b / DIGIT_BIT) + ((b % DIGIT_BIT) == 0 ? 0 : 1); x < c->used; x++) { - c->dp[x] = 0; - } - /* clear the digit that is not completely outside/inside the modulus */ - c->dp[b / DIGIT_BIT] &= - (mp_digit) ((((mp_digit) 1) << (((mp_digit) b) % DIGIT_BIT)) - ((mp_digit) 1)); - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* End: bn_mp_mod_2d.c */ - -/* Start: bn_mp_mod_d.c */ -#include -#ifdef BN_MP_MOD_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -int -mp_mod_d (mp_int * a, mp_digit b, mp_digit * c) -{ - return mp_div_d(a, b, NULL, c); -} -#endif - -/* End: bn_mp_mod_d.c */ - -/* Start: bn_mp_montgomery_calc_normalization.c */ -#include -#ifdef BN_MP_MONTGOMERY_CALC_NORMALIZATION_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* - * shifts with subtractions when the result is greater than b. - * - * The method is slightly modified to shift B unconditionally upto just under - * the leading bit of b. This saves alot of multiple precision shifting. - */ -int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) -{ - int x, bits, res; - - /* how many bits of last digit does b use */ - bits = mp_count_bits (b) % DIGIT_BIT; - - if (b->used > 1) { - if ((res = mp_2expt (a, (b->used - 1) * DIGIT_BIT + bits - 1)) != MP_OKAY) { - return res; - } - } else { - mp_set(a, 1); - bits = 1; - } - - - /* now compute C = A * B mod b */ - for (x = bits - 1; x < (int)DIGIT_BIT; x++) { - if ((res = mp_mul_2 (a, a)) != MP_OKAY) { - return res; - } - if (mp_cmp_mag (a, b) != MP_LT) { - if ((res = s_mp_sub (a, b, a)) != MP_OKAY) { - return res; - } - } - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_montgomery_calc_normalization.c */ - -/* Start: bn_mp_montgomery_reduce.c */ -#include -#ifdef BN_MP_MONTGOMERY_REDUCE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* computes xR**-1 == x (mod N) via Montgomery Reduction */ -int -mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) -{ - int ix, res, digs; - mp_digit mu; - - /* can the fast reduction [comba] method be used? - * - * Note that unlike in mul you're safely allowed *less* - * than the available columns [255 per default] since carries - * are fixed up in the inner loop. - */ - digs = n->used * 2 + 1; - if ((digs < MP_WARRAY) && - n->used < - (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { - return fast_mp_montgomery_reduce (x, n, rho); - } - - /* grow the input as required */ - if (x->alloc < digs) { - if ((res = mp_grow (x, digs)) != MP_OKAY) { - return res; - } - } - x->used = digs; - - for (ix = 0; ix < n->used; ix++) { - /* mu = ai * rho mod b - * - * The value of rho must be precalculated via - * montgomery_setup() such that - * it equals -1/n0 mod b this allows the - * following inner loop to reduce the - * input one digit at a time - */ - mu = (mp_digit) (((mp_word)x->dp[ix]) * ((mp_word)rho) & MP_MASK); - - /* a = a + mu * m * b**i */ - { - register int iy; - register mp_digit *tmpn, *tmpx, u; - register mp_word r; - - /* alias for digits of the modulus */ - tmpn = n->dp; - - /* alias for the digits of x [the input] */ - tmpx = x->dp + ix; - - /* set the carry to zero */ - u = 0; - - /* Multiply and add in place */ - for (iy = 0; iy < n->used; iy++) { - /* compute product and sum */ - r = ((mp_word)mu) * ((mp_word)*tmpn++) + - ((mp_word) u) + ((mp_word) * tmpx); - - /* get carry */ - u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); - - /* fix digit */ - *tmpx++ = (mp_digit)(r & ((mp_word) MP_MASK)); - } - /* At this point the ix'th digit of x should be zero */ - - - /* propagate carries upwards as required*/ - while (u) { - *tmpx += u; - u = *tmpx >> DIGIT_BIT; - *tmpx++ &= MP_MASK; - } - } - } - - /* at this point the n.used'th least - * significant digits of x are all zero - * which means we can shift x to the - * right by n.used digits and the - * residue is unchanged. - */ - - /* x = x/b**n.used */ - mp_clamp(x); - mp_rshd (x, n->used); - - /* if x >= n then x = x - n */ - if (mp_cmp_mag (x, n) != MP_LT) { - return s_mp_sub (x, n, x); - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_montgomery_reduce.c */ - -/* Start: bn_mp_montgomery_setup.c */ -#include -#ifdef BN_MP_MONTGOMERY_SETUP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* setups the montgomery reduction stuff */ -int -mp_montgomery_setup (mp_int * n, mp_digit * rho) -{ - mp_digit x, b; - -/* fast inversion mod 2**k - * - * Based on the fact that - * - * XA = 1 (mod 2**n) => (X(2-XA)) A = 1 (mod 2**2n) - * => 2*X*A - X*X*A*A = 1 - * => 2*(1) - (1) = 1 - */ - b = n->dp[0]; - - if ((b & 1) == 0) { - return MP_VAL; - } - - x = (((b + 2) & 4) << 1) + b; /* here x*a==1 mod 2**4 */ - x *= 2 - b * x; /* here x*a==1 mod 2**8 */ -#if !defined(MP_8BIT) - x *= 2 - b * x; /* here x*a==1 mod 2**16 */ -#endif -#if defined(MP_64BIT) || !(defined(MP_8BIT) || defined(MP_16BIT)) - x *= 2 - b * x; /* here x*a==1 mod 2**32 */ -#endif -#ifdef MP_64BIT - x *= 2 - b * x; /* here x*a==1 mod 2**64 */ -#endif - - /* rho = -1/m mod b */ - *rho = (unsigned long)(((mp_word)1 << ((mp_word) DIGIT_BIT)) - x) & MP_MASK; - - return MP_OKAY; -} -#endif - -/* End: bn_mp_montgomery_setup.c */ - -/* Start: bn_mp_mul.c */ -#include -#ifdef BN_MP_MUL_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* high level multiplication (handles sign) */ -int mp_mul (mp_int * a, mp_int * b, mp_int * c) -{ - int res, neg; - neg = (a->sign == b->sign) ? MP_ZPOS : MP_NEG; - - /* use Toom-Cook? */ -#ifdef BN_MP_TOOM_MUL_C - if (MIN (a->used, b->used) >= TOOM_MUL_CUTOFF) { - res = mp_toom_mul(a, b, c); - } else -#endif -#ifdef BN_MP_KARATSUBA_MUL_C - /* use Karatsuba? */ - if (MIN (a->used, b->used) >= KARATSUBA_MUL_CUTOFF) { - res = mp_karatsuba_mul (a, b, c); - } else -#endif - { - /* can we use the fast multiplier? - * - * The fast multiplier can be used if the output will - * have less than MP_WARRAY digits and the number of - * digits won't affect carry propagation - */ - int digs = a->used + b->used + 1; - -#ifdef BN_FAST_S_MP_MUL_DIGS_C - if ((digs < MP_WARRAY) && - MIN(a->used, b->used) <= - (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { - res = fast_s_mp_mul_digs (a, b, c, digs); - } else -#endif -#ifdef BN_S_MP_MUL_DIGS_C - res = s_mp_mul (a, b, c); /* uses s_mp_mul_digs */ -#else - res = MP_VAL; -#endif - - } - c->sign = (c->used > 0) ? neg : MP_ZPOS; - return res; -} -#endif - -/* End: bn_mp_mul.c */ - -/* Start: bn_mp_mul_2.c */ -#include -#ifdef BN_MP_MUL_2_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* b = a*2 */ -int mp_mul_2(mp_int * a, mp_int * b) -{ - int x, res, oldused; - - /* grow to accomodate result */ - if (b->alloc < a->used + 1) { - if ((res = mp_grow (b, a->used + 1)) != MP_OKAY) { - return res; - } - } - - oldused = b->used; - b->used = a->used; - - { - register mp_digit r, rr, *tmpa, *tmpb; - - /* alias for source */ - tmpa = a->dp; - - /* alias for dest */ - tmpb = b->dp; - - /* carry */ - r = 0; - for (x = 0; x < a->used; x++) { - - /* get what will be the *next* carry bit from the - * MSB of the current digit - */ - rr = *tmpa >> ((mp_digit)(DIGIT_BIT - 1)); - - /* now shift up this digit, add in the carry [from the previous] */ - *tmpb++ = ((*tmpa++ << ((mp_digit)1)) | r) & MP_MASK; - - /* copy the carry that would be from the source - * digit into the next iteration - */ - r = rr; - } - - /* new leading digit? */ - if (r != 0) { - /* add a MSB which is always 1 at this point */ - *tmpb = 1; - ++(b->used); - } - - /* now zero any excess digits on the destination - * that we didn't write to - */ - tmpb = b->dp + b->used; - for (x = b->used; x < oldused; x++) { - *tmpb++ = 0; - } - } - b->sign = a->sign; - return MP_OKAY; -} -#endif - -/* End: bn_mp_mul_2.c */ - -/* Start: bn_mp_mul_2d.c */ -#include -#ifdef BN_MP_MUL_2D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* shift left by a certain bit count */ -int mp_mul_2d (mp_int * a, int b, mp_int * c) -{ - mp_digit d; - int res; - - /* copy */ - if (a != c) { - if ((res = mp_copy (a, c)) != MP_OKAY) { - return res; - } - } - - if (c->alloc < (int)(c->used + b/DIGIT_BIT + 1)) { - if ((res = mp_grow (c, c->used + b / DIGIT_BIT + 1)) != MP_OKAY) { - return res; - } - } - - /* shift by as many digits in the bit count */ - if (b >= (int)DIGIT_BIT) { - if ((res = mp_lshd (c, b / DIGIT_BIT)) != MP_OKAY) { - return res; - } - } - - /* shift any bit count < DIGIT_BIT */ - d = (mp_digit) (b % DIGIT_BIT); - if (d != 0) { - register mp_digit *tmpc, shift, mask, r, rr; - register int x; - - /* bitmask for carries */ - mask = (((mp_digit)1) << d) - 1; - - /* shift for msbs */ - shift = DIGIT_BIT - d; - - /* alias */ - tmpc = c->dp; - - /* carry */ - r = 0; - for (x = 0; x < c->used; x++) { - /* get the higher bits of the current word */ - rr = (*tmpc >> shift) & mask; - - /* shift the current word and OR in the carry */ - *tmpc = ((*tmpc << d) | r) & MP_MASK; - ++tmpc; - - /* set the carry to the carry bits of the current word */ - r = rr; - } - - /* set final carry */ - if (r != 0) { - c->dp[(c->used)++] = r; - } - } - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* End: bn_mp_mul_2d.c */ - -/* Start: bn_mp_mul_d.c */ -#include -#ifdef BN_MP_MUL_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* multiply by a digit */ -int -mp_mul_d (mp_int * a, mp_digit b, mp_int * c) -{ - mp_digit u, *tmpa, *tmpc; - mp_word r; - int ix, res, olduse; - - /* make sure c is big enough to hold a*b */ - if (c->alloc < a->used + 1) { - if ((res = mp_grow (c, a->used + 1)) != MP_OKAY) { - return res; - } - } - - /* get the original destinations used count */ - olduse = c->used; - - /* set the sign */ - c->sign = a->sign; - - /* alias for a->dp [source] */ - tmpa = a->dp; - - /* alias for c->dp [dest] */ - tmpc = c->dp; - - /* zero carry */ - u = 0; - - /* compute columns */ - for (ix = 0; ix < a->used; ix++) { - /* compute product and carry sum for this term */ - r = ((mp_word) u) + ((mp_word)*tmpa++) * ((mp_word)b); - - /* mask off higher bits to get a single digit */ - *tmpc++ = (mp_digit) (r & ((mp_word) MP_MASK)); - - /* send carry into next iteration */ - u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); - } - - /* store final carry [if any] and increment ix offset */ - *tmpc++ = u; - ++ix; - - /* now zero digits above the top */ - while (ix++ < olduse) { - *tmpc++ = 0; - } - - /* set used count */ - c->used = a->used + 1; - mp_clamp(c); - - return MP_OKAY; -} -#endif - -/* End: bn_mp_mul_d.c */ - -/* Start: bn_mp_mulmod.c */ -#include -#ifdef BN_MP_MULMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* d = a * b (mod c) */ -int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) -{ - int res; - mp_int t; - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - if ((res = mp_mul (a, b, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - res = mp_mod (&t, c, d); - mp_clear (&t); - return res; -} -#endif - -/* End: bn_mp_mulmod.c */ - -/* Start: bn_mp_n_root.c */ -#include -#ifdef BN_MP_N_ROOT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* find the n'th root of an integer - * - * Result found such that (c)**b <= a and (c+1)**b > a - * - * This algorithm uses Newton's approximation - * x[i+1] = x[i] - f(x[i])/f'(x[i]) - * which will find the root in log(N) time where - * each step involves a fair bit. This is not meant to - * find huge roots [square and cube, etc]. - */ -int mp_n_root (mp_int * a, mp_digit b, mp_int * c) -{ - mp_int t1, t2, t3; - int res, neg; - - /* input must be positive if b is even */ - if ((b & 1) == 0 && a->sign == MP_NEG) { - return MP_VAL; - } - - if ((res = mp_init (&t1)) != MP_OKAY) { - return res; - } - - if ((res = mp_init (&t2)) != MP_OKAY) { - goto LBL_T1; - } - - if ((res = mp_init (&t3)) != MP_OKAY) { - goto LBL_T2; - } - - /* if a is negative fudge the sign but keep track */ - neg = a->sign; - a->sign = MP_ZPOS; - - /* t2 = 2 */ - mp_set (&t2, 2); - - do { - /* t1 = t2 */ - if ((res = mp_copy (&t2, &t1)) != MP_OKAY) { - goto LBL_T3; - } - - /* t2 = t1 - ((t1**b - a) / (b * t1**(b-1))) */ - - /* t3 = t1**(b-1) */ - if ((res = mp_expt_d (&t1, b - 1, &t3)) != MP_OKAY) { - goto LBL_T3; - } - - /* numerator */ - /* t2 = t1**b */ - if ((res = mp_mul (&t3, &t1, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - /* t2 = t1**b - a */ - if ((res = mp_sub (&t2, a, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - /* denominator */ - /* t3 = t1**(b-1) * b */ - if ((res = mp_mul_d (&t3, b, &t3)) != MP_OKAY) { - goto LBL_T3; - } - - /* t3 = (t1**b - a)/(b * t1**(b-1)) */ - if ((res = mp_div (&t2, &t3, &t3, NULL)) != MP_OKAY) { - goto LBL_T3; - } - - if ((res = mp_sub (&t1, &t3, &t2)) != MP_OKAY) { - goto LBL_T3; - } - } while (mp_cmp (&t1, &t2) != MP_EQ); - - /* result can be off by a few so check */ - for (;;) { - if ((res = mp_expt_d (&t1, b, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - if (mp_cmp (&t2, a) == MP_GT) { - if ((res = mp_sub_d (&t1, 1, &t1)) != MP_OKAY) { - goto LBL_T3; - } - } else { - break; - } - } - - /* reset the sign of a first */ - a->sign = neg; - - /* set the result */ - mp_exch (&t1, c); - - /* set the sign of the result */ - c->sign = neg; - - res = MP_OKAY; - -LBL_T3:mp_clear (&t3); -LBL_T2:mp_clear (&t2); -LBL_T1:mp_clear (&t1); - return res; -} -#endif - -/* End: bn_mp_n_root.c */ - -/* Start: bn_mp_neg.c */ -#include -#ifdef BN_MP_NEG_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* b = -a */ -int mp_neg (mp_int * a, mp_int * b) -{ - int res; - if (a != b) { - if ((res = mp_copy (a, b)) != MP_OKAY) { - return res; - } - } - - if (mp_iszero(b) != MP_YES) { - b->sign = (a->sign == MP_ZPOS) ? MP_NEG : MP_ZPOS; - } else { - b->sign = MP_ZPOS; - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_neg.c */ - -/* Start: bn_mp_or.c */ -#include -#ifdef BN_MP_OR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* OR two ints together */ -int mp_or (mp_int * a, mp_int * b, mp_int * c) -{ - int res, ix, px; - mp_int t, *x; - - if (a->used > b->used) { - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - px = b->used; - x = b; - } else { - if ((res = mp_init_copy (&t, b)) != MP_OKAY) { - return res; - } - px = a->used; - x = a; - } - - for (ix = 0; ix < px; ix++) { - t.dp[ix] |= x->dp[ix]; - } - mp_clamp (&t); - mp_exch (c, &t); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_mp_or.c */ - -/* Start: bn_mp_prime_fermat.c */ -#include -#ifdef BN_MP_PRIME_FERMAT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* performs one Fermat test. - * - * If "a" were prime then b**a == b (mod a) since the order of - * the multiplicative sub-group would be phi(a) = a-1. That means - * it would be the same as b**(a mod (a-1)) == b**1 == b (mod a). - * - * Sets result to 1 if the congruence holds, or zero otherwise. - */ -int mp_prime_fermat (mp_int * a, mp_int * b, int *result) -{ - mp_int t; - int err; - - /* default to composite */ - *result = MP_NO; - - /* ensure b > 1 */ - if (mp_cmp_d(b, 1) != MP_GT) { - return MP_VAL; - } - - /* init t */ - if ((err = mp_init (&t)) != MP_OKAY) { - return err; - } - - /* compute t = b**a mod a */ - if ((err = mp_exptmod (b, a, a, &t)) != MP_OKAY) { - goto LBL_T; - } - - /* is it equal to b? */ - if (mp_cmp (&t, b) == MP_EQ) { - *result = MP_YES; - } - - err = MP_OKAY; -LBL_T:mp_clear (&t); - return err; -} -#endif - -/* End: bn_mp_prime_fermat.c */ - -/* Start: bn_mp_prime_is_divisible.c */ -#include -#ifdef BN_MP_PRIME_IS_DIVISIBLE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* determines if an integers is divisible by one - * of the first PRIME_SIZE primes or not - * - * sets result to 0 if not, 1 if yes - */ -int mp_prime_is_divisible (mp_int * a, int *result) -{ - int err, ix; - mp_digit res; - - /* default to not */ - *result = MP_NO; - - for (ix = 0; ix < PRIME_SIZE; ix++) { - /* what is a mod LBL_prime_tab[ix] */ - if ((err = mp_mod_d (a, ltm_prime_tab[ix], &res)) != MP_OKAY) { - return err; - } - - /* is the residue zero? */ - if (res == 0) { - *result = MP_YES; - return MP_OKAY; - } - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_prime_is_divisible.c */ - -/* Start: bn_mp_prime_is_prime.c */ -#include -#ifdef BN_MP_PRIME_IS_PRIME_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* performs a variable number of rounds of Miller-Rabin - * - * Probability of error after t rounds is no more than - - * - * Sets result to 1 if probably prime, 0 otherwise - */ -int mp_prime_is_prime (mp_int * a, int t, int *result) -{ - mp_int b; - int ix, err, res; - - /* default to no */ - *result = MP_NO; - - /* valid value of t? */ - if (t <= 0 || t > PRIME_SIZE) { - return MP_VAL; - } - - /* is the input equal to one of the primes in the table? */ - for (ix = 0; ix < PRIME_SIZE; ix++) { - if (mp_cmp_d(a, ltm_prime_tab[ix]) == MP_EQ) { - *result = 1; - return MP_OKAY; - } - } - - /* first perform trial division */ - if ((err = mp_prime_is_divisible (a, &res)) != MP_OKAY) { - return err; - } - - /* return if it was trivially divisible */ - if (res == MP_YES) { - return MP_OKAY; - } - - /* now perform the miller-rabin rounds */ - if ((err = mp_init (&b)) != MP_OKAY) { - return err; - } - - for (ix = 0; ix < t; ix++) { - /* set the prime */ - mp_set (&b, ltm_prime_tab[ix]); - - if ((err = mp_prime_miller_rabin (a, &b, &res)) != MP_OKAY) { - goto LBL_B; - } - - if (res == MP_NO) { - goto LBL_B; - } - } - - /* passed the test */ - *result = MP_YES; -LBL_B:mp_clear (&b); - return err; -} -#endif - -/* End: bn_mp_prime_is_prime.c */ - -/* Start: bn_mp_prime_miller_rabin.c */ -#include -#ifdef BN_MP_PRIME_MILLER_RABIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* Miller-Rabin test of "a" to the base of "b" as described in - * HAC pp. 139 Algorithm 4.24 - * - * Sets result to 0 if definitely composite or 1 if probably prime. - * Randomly the chance of error is no more than 1/4 and often - * very much lower. - */ -int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result) -{ - mp_int n1, y, r; - int s, j, err; - - /* default */ - *result = MP_NO; - - /* ensure b > 1 */ - if (mp_cmp_d(b, 1) != MP_GT) { - return MP_VAL; - } - - /* get n1 = a - 1 */ - if ((err = mp_init_copy (&n1, a)) != MP_OKAY) { - return err; - } - if ((err = mp_sub_d (&n1, 1, &n1)) != MP_OKAY) { - goto LBL_N1; - } - - /* set 2**s * r = n1 */ - if ((err = mp_init_copy (&r, &n1)) != MP_OKAY) { - goto LBL_N1; - } - - /* count the number of least significant bits - * which are zero - */ - s = mp_cnt_lsb(&r); - - /* now divide n - 1 by 2**s */ - if ((err = mp_div_2d (&r, s, &r, NULL)) != MP_OKAY) { - goto LBL_R; - } - - /* compute y = b**r mod a */ - if ((err = mp_init (&y)) != MP_OKAY) { - goto LBL_R; - } - if ((err = mp_exptmod (b, &r, a, &y)) != MP_OKAY) { - goto LBL_Y; - } - - /* if y != 1 and y != n1 do */ - if (mp_cmp_d (&y, 1) != MP_EQ && mp_cmp (&y, &n1) != MP_EQ) { - j = 1; - /* while j <= s-1 and y != n1 */ - while ((j <= (s - 1)) && mp_cmp (&y, &n1) != MP_EQ) { - if ((err = mp_sqrmod (&y, a, &y)) != MP_OKAY) { - goto LBL_Y; - } - - /* if y == 1 then composite */ - if (mp_cmp_d (&y, 1) == MP_EQ) { - goto LBL_Y; - } - - ++j; - } - - /* if y != n1 then composite */ - if (mp_cmp (&y, &n1) != MP_EQ) { - goto LBL_Y; - } - } - - /* probably prime now */ - *result = MP_YES; -LBL_Y:mp_clear (&y); -LBL_R:mp_clear (&r); -LBL_N1:mp_clear (&n1); - return err; -} -#endif - -/* End: bn_mp_prime_miller_rabin.c */ - -/* Start: bn_mp_prime_next_prime.c */ -#include -#ifdef BN_MP_PRIME_NEXT_PRIME_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* finds the next prime after the number "a" using "t" trials - * of Miller-Rabin. - * - * bbs_style = 1 means the prime must be congruent to 3 mod 4 - */ -int mp_prime_next_prime(mp_int *a, int t, int bbs_style) -{ - int err, res, x, y; - mp_digit res_tab[PRIME_SIZE], step, kstep; - mp_int b; - - /* ensure t is valid */ - if (t <= 0 || t > PRIME_SIZE) { - return MP_VAL; - } - - /* force positive */ - a->sign = MP_ZPOS; - - /* simple algo if a is less than the largest prime in the table */ - if (mp_cmp_d(a, ltm_prime_tab[PRIME_SIZE-1]) == MP_LT) { - /* find which prime it is bigger than */ - for (x = PRIME_SIZE - 2; x >= 0; x--) { - if (mp_cmp_d(a, ltm_prime_tab[x]) != MP_LT) { - if (bbs_style == 1) { - /* ok we found a prime smaller or - * equal [so the next is larger] - * - * however, the prime must be - * congruent to 3 mod 4 - */ - if ((ltm_prime_tab[x + 1] & 3) != 3) { - /* scan upwards for a prime congruent to 3 mod 4 */ - for (y = x + 1; y < PRIME_SIZE; y++) { - if ((ltm_prime_tab[y] & 3) == 3) { - mp_set(a, ltm_prime_tab[y]); - return MP_OKAY; - } - } - } - } else { - mp_set(a, ltm_prime_tab[x + 1]); - return MP_OKAY; - } - } - } - /* at this point a maybe 1 */ - if (mp_cmp_d(a, 1) == MP_EQ) { - mp_set(a, 2); - return MP_OKAY; - } - /* fall through to the sieve */ - } - - /* generate a prime congruent to 3 mod 4 or 1/3 mod 4? */ - if (bbs_style == 1) { - kstep = 4; - } else { - kstep = 2; - } - - /* at this point we will use a combination of a sieve and Miller-Rabin */ - - if (bbs_style == 1) { - /* if a mod 4 != 3 subtract the correct value to make it so */ - if ((a->dp[0] & 3) != 3) { - if ((err = mp_sub_d(a, (a->dp[0] & 3) + 1, a)) != MP_OKAY) { return err; }; - } - } else { - if (mp_iseven(a) == 1) { - /* force odd */ - if ((err = mp_sub_d(a, 1, a)) != MP_OKAY) { - return err; - } - } - } - - /* generate the restable */ - for (x = 1; x < PRIME_SIZE; x++) { - if ((err = mp_mod_d(a, ltm_prime_tab[x], res_tab + x)) != MP_OKAY) { - return err; - } - } - - /* init temp used for Miller-Rabin Testing */ - if ((err = mp_init(&b)) != MP_OKAY) { - return err; - } - - for (;;) { - /* skip to the next non-trivially divisible candidate */ - step = 0; - do { - /* y == 1 if any residue was zero [e.g. cannot be prime] */ - y = 0; - - /* increase step to next candidate */ - step += kstep; - - /* compute the new residue without using division */ - for (x = 1; x < PRIME_SIZE; x++) { - /* add the step to each residue */ - res_tab[x] += kstep; - - /* subtract the modulus [instead of using division] */ - if (res_tab[x] >= ltm_prime_tab[x]) { - res_tab[x] -= ltm_prime_tab[x]; - } - - /* set flag if zero */ - if (res_tab[x] == 0) { - y = 1; - } - } - } while (y == 1 && step < ((((mp_digit)1)<= ((((mp_digit)1)< -#ifdef BN_MP_PRIME_RABIN_MILLER_TRIALS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - - -static const struct { - int k, t; -} sizes[] = { -{ 128, 28 }, -{ 256, 16 }, -{ 384, 10 }, -{ 512, 7 }, -{ 640, 6 }, -{ 768, 5 }, -{ 896, 4 }, -{ 1024, 4 } -}; - -/* returns # of RM trials required for a given bit size */ -int mp_prime_rabin_miller_trials(int size) -{ - int x; - - for (x = 0; x < (int)(sizeof(sizes)/(sizeof(sizes[0]))); x++) { - if (sizes[x].k == size) { - return sizes[x].t; - } else if (sizes[x].k > size) { - return (x == 0) ? sizes[0].t : sizes[x - 1].t; - } - } - return sizes[x-1].t + 1; -} - - -#endif - -/* End: bn_mp_prime_rabin_miller_trials.c */ - -/* Start: bn_mp_prime_random_ex.c */ -#include -#ifdef BN_MP_PRIME_RANDOM_EX_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* makes a truly random prime of a given size (bits), - * - * Flags are as follows: - * - * LTM_PRIME_BBS - make prime congruent to 3 mod 4 - * LTM_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies LTM_PRIME_BBS) - * LTM_PRIME_2MSB_OFF - make the 2nd highest bit zero - * LTM_PRIME_2MSB_ON - make the 2nd highest bit one - * - * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can - * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself - * so it can be NULL - * - */ - -/* This is possibly the mother of all prime generation functions, muahahahahaha! */ -int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback cb, void *dat) -{ - unsigned char *tmp, maskAND, maskOR_msb, maskOR_lsb; - int res, err, bsize, maskOR_msb_offset; - - /* sanity check the input */ - if (size <= 1 || t <= 0) { - return MP_VAL; - } - - /* LTM_PRIME_SAFE implies LTM_PRIME_BBS */ - if (flags & LTM_PRIME_SAFE) { - flags |= LTM_PRIME_BBS; - } - - /* calc the byte size */ - bsize = (size>>3) + ((size&7)?1:0); - - /* we need a buffer of bsize bytes */ - tmp = OPT_CAST(unsigned char) XMALLOC(bsize); - if (tmp == NULL) { - return MP_MEM; - } - - /* calc the maskAND value for the MSbyte*/ - maskAND = ((size&7) == 0) ? 0xFF : (0xFF >> (8 - (size & 7))); - - /* calc the maskOR_msb */ - maskOR_msb = 0; - maskOR_msb_offset = ((size & 7) == 1) ? 1 : 0; - if (flags & LTM_PRIME_2MSB_ON) { - maskOR_msb |= 0x80 >> ((9 - size) & 7); - } - - /* get the maskOR_lsb */ - maskOR_lsb = 1; - if (flags & LTM_PRIME_BBS) { - maskOR_lsb |= 3; - } - - do { - /* read the bytes */ - if (cb(tmp, bsize, dat) != bsize) { - err = MP_VAL; - goto error; - } - - /* work over the MSbyte */ - tmp[0] &= maskAND; - tmp[0] |= 1 << ((size - 1) & 7); - - /* mix in the maskORs */ - tmp[maskOR_msb_offset] |= maskOR_msb; - tmp[bsize-1] |= maskOR_lsb; - - /* read it in */ - if ((err = mp_read_unsigned_bin(a, tmp, bsize)) != MP_OKAY) { goto error; } - - /* is it prime? */ - if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { goto error; } - if (res == MP_NO) { - continue; - } - - if (flags & LTM_PRIME_SAFE) { - /* see if (a-1)/2 is prime */ - if ((err = mp_sub_d(a, 1, a)) != MP_OKAY) { goto error; } - if ((err = mp_div_2(a, a)) != MP_OKAY) { goto error; } - - /* is it prime? */ - if ((err = mp_prime_is_prime(a, t, &res)) != MP_OKAY) { goto error; } - } - } while (res == MP_NO); - - if (flags & LTM_PRIME_SAFE) { - /* restore a to the original value */ - if ((err = mp_mul_2(a, a)) != MP_OKAY) { goto error; } - if ((err = mp_add_d(a, 1, a)) != MP_OKAY) { goto error; } - } - - err = MP_OKAY; -error: - XFREE(tmp); - return err; -} - - -#endif - -/* End: bn_mp_prime_random_ex.c */ - -/* Start: bn_mp_radix_size.c */ -#include -#ifdef BN_MP_RADIX_SIZE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* returns size of ASCII reprensentation */ -int mp_radix_size (mp_int * a, int radix, int *size) -{ - int res, digs; - mp_int t; - mp_digit d; - - *size = 0; - - /* special case for binary */ - if (radix == 2) { - *size = mp_count_bits (a) + (a->sign == MP_NEG ? 1 : 0) + 1; - return MP_OKAY; - } - - /* make sure the radix is in range */ - if (radix < 2 || radix > 64) { - return MP_VAL; - } - - if (mp_iszero(a) == MP_YES) { - *size = 2; - return MP_OKAY; - } - - /* digs is the digit count */ - digs = 0; - - /* if it's negative add one for the sign */ - if (a->sign == MP_NEG) { - ++digs; - } - - /* init a copy of the input */ - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - - /* force temp to positive */ - t.sign = MP_ZPOS; - - /* fetch out all of the digits */ - while (mp_iszero (&t) == MP_NO) { - if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) { - mp_clear (&t); - return res; - } - ++digs; - } - mp_clear (&t); - - /* return digs + 1, the 1 is for the NULL byte that would be required. */ - *size = digs + 1; - return MP_OKAY; -} - -#endif - -/* End: bn_mp_radix_size.c */ - -/* Start: bn_mp_radix_smap.c */ -#include -#ifdef BN_MP_RADIX_SMAP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* chars used in radix conversions */ -const char *mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz+/"; -#endif - -/* End: bn_mp_radix_smap.c */ - -/* Start: bn_mp_rand.c */ -#include -#ifdef BN_MP_RAND_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* makes a pseudo-random int of a given size */ -int -mp_rand (mp_int * a, int digits) -{ - int res; - mp_digit d; - - mp_zero (a); - if (digits <= 0) { - return MP_OKAY; - } - - /* first place a random non-zero digit */ - do { - d = ((mp_digit) abs (rand ())) & MP_MASK; - } while (d == 0); - - if ((res = mp_add_d (a, d, a)) != MP_OKAY) { - return res; - } - - while (--digits > 0) { - if ((res = mp_lshd (a, 1)) != MP_OKAY) { - return res; - } - - if ((res = mp_add_d (a, ((mp_digit) abs (rand ())), a)) != MP_OKAY) { - return res; - } - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_rand.c */ - -/* Start: bn_mp_read_radix.c */ -#include -#ifdef BN_MP_READ_RADIX_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* read a string [ASCII] in a given radix */ -int mp_read_radix (mp_int * a, const char *str, int radix) -{ - int y, res, neg; - char ch; - - /* zero the digit bignum */ - mp_zero(a); - - /* make sure the radix is ok */ - if (radix < 2 || radix > 64) { - return MP_VAL; - } - - /* if the leading digit is a - * minus set the sign to negative. - */ - if (*str == '-') { - ++str; - neg = MP_NEG; - } else { - neg = MP_ZPOS; - } - - /* set the integer to the default of zero */ - mp_zero (a); - - /* process each digit of the string */ - while (*str) { - /* if the radix < 36 the conversion is case insensitive - * this allows numbers like 1AB and 1ab to represent the same value - * [e.g. in hex] - */ - ch = (char) ((radix < 36) ? toupper (*str) : *str); - for (y = 0; y < 64; y++) { - if (ch == mp_s_rmap[y]) { - break; - } - } - - /* if the char was found in the map - * and is less than the given radix add it - * to the number, otherwise exit the loop. - */ - if (y < radix) { - if ((res = mp_mul_d (a, (mp_digit) radix, a)) != MP_OKAY) { - return res; - } - if ((res = mp_add_d (a, (mp_digit) y, a)) != MP_OKAY) { - return res; - } - } else { - break; - } - ++str; - } - - /* set the sign only if a != 0 */ - if (mp_iszero(a) != 1) { - a->sign = neg; - } - return MP_OKAY; -} -#endif - -/* End: bn_mp_read_radix.c */ - -/* Start: bn_mp_read_signed_bin.c */ -#include -#ifdef BN_MP_READ_SIGNED_BIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* read signed bin, big endian, first byte is 0==positive or 1==negative */ -int mp_read_signed_bin (mp_int * a, const unsigned char *b, int c) -{ - int res; - - /* read magnitude */ - if ((res = mp_read_unsigned_bin (a, b + 1, c - 1)) != MP_OKAY) { - return res; - } - - /* first byte is 0 for positive, non-zero for negative */ - if (b[0] == 0) { - a->sign = MP_ZPOS; - } else { - a->sign = MP_NEG; - } - - return MP_OKAY; -} -#endif - -/* End: bn_mp_read_signed_bin.c */ - -/* Start: bn_mp_read_unsigned_bin.c */ -#include -#ifdef BN_MP_READ_UNSIGNED_BIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* reads a unsigned char array, assumes the msb is stored first [big endian] */ -int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) -{ - int res; - - /* make sure there are at least two digits */ - if (a->alloc < 2) { - if ((res = mp_grow(a, 2)) != MP_OKAY) { - return res; - } - } - - /* zero the int */ - mp_zero (a); - - /* read the bytes in */ - while (c-- > 0) { - if ((res = mp_mul_2d (a, 8, a)) != MP_OKAY) { - return res; - } - -#ifndef MP_8BIT - a->dp[0] |= *b++; - a->used += 1; -#else - a->dp[0] = (*b & MP_MASK); - a->dp[1] |= ((*b++ >> 7U) & 1); - a->used += 2; -#endif - } - mp_clamp (a); - return MP_OKAY; -} -#endif - -/* End: bn_mp_read_unsigned_bin.c */ - -/* Start: bn_mp_reduce.c */ -#include -#ifdef BN_MP_REDUCE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* reduces x mod m, assumes 0 < x < m**2, mu is - * precomputed via mp_reduce_setup. - * From HAC pp.604 Algorithm 14.42 - */ -int mp_reduce (mp_int * x, mp_int * m, mp_int * mu) -{ - mp_int q; - int res, um = m->used; - - /* q = x */ - if ((res = mp_init_copy (&q, x)) != MP_OKAY) { - return res; - } - - /* q1 = x / b**(k-1) */ - mp_rshd (&q, um - 1); - - /* according to HAC this optimization is ok */ - if (((unsigned long) um) > (((mp_digit)1) << (DIGIT_BIT - 1))) { - if ((res = mp_mul (&q, mu, &q)) != MP_OKAY) { - goto CLEANUP; - } - } else { -#ifdef BN_S_MP_MUL_HIGH_DIGS_C - if ((res = s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) { - goto CLEANUP; - } -#elif defined(BN_FAST_S_MP_MUL_HIGH_DIGS_C) - if ((res = fast_s_mp_mul_high_digs (&q, mu, &q, um)) != MP_OKAY) { - goto CLEANUP; - } -#else - { - res = MP_VAL; - goto CLEANUP; - } -#endif - } - - /* q3 = q2 / b**(k+1) */ - mp_rshd (&q, um + 1); - - /* x = x mod b**(k+1), quick (no division) */ - if ((res = mp_mod_2d (x, DIGIT_BIT * (um + 1), x)) != MP_OKAY) { - goto CLEANUP; - } - - /* q = q * m mod b**(k+1), quick (no division) */ - if ((res = s_mp_mul_digs (&q, m, &q, um + 1)) != MP_OKAY) { - goto CLEANUP; - } - - /* x = x - q */ - if ((res = mp_sub (x, &q, x)) != MP_OKAY) { - goto CLEANUP; - } - - /* If x < 0, add b**(k+1) to it */ - if (mp_cmp_d (x, 0) == MP_LT) { - mp_set (&q, 1); - if ((res = mp_lshd (&q, um + 1)) != MP_OKAY) - goto CLEANUP; - if ((res = mp_add (x, &q, x)) != MP_OKAY) - goto CLEANUP; - } - - /* Back off if it's too big */ - while (mp_cmp (x, m) != MP_LT) { - if ((res = s_mp_sub (x, m, x)) != MP_OKAY) { - goto CLEANUP; - } - } - -CLEANUP: - mp_clear (&q); - - return res; -} -#endif - -/* End: bn_mp_reduce.c */ - -/* Start: bn_mp_reduce_2k.c */ -#include -#ifdef BN_MP_REDUCE_2K_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* reduces a modulo n where n is of the form 2**p - d */ -int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d) -{ - mp_int q; - int p, res; - - if ((res = mp_init(&q)) != MP_OKAY) { - return res; - } - - p = mp_count_bits(n); -top: - /* q = a/2**p, a = a mod 2**p */ - if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { - goto ERR; - } - - if (d != 1) { - /* q = q * d */ - if ((res = mp_mul_d(&q, d, &q)) != MP_OKAY) { - goto ERR; - } - } - - /* a = a + q */ - if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { - goto ERR; - } - - if (mp_cmp_mag(a, n) != MP_LT) { - s_mp_sub(a, n, a); - goto top; - } - -ERR: - mp_clear(&q); - return res; -} - -#endif - -/* End: bn_mp_reduce_2k.c */ - -/* Start: bn_mp_reduce_2k_l.c */ -#include -#ifdef BN_MP_REDUCE_2K_L_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* reduces a modulo n where n is of the form 2**p - d - This differs from reduce_2k since "d" can be larger - than a single digit. -*/ -int mp_reduce_2k_l(mp_int *a, mp_int *n, mp_int *d) -{ - mp_int q; - int p, res; - - if ((res = mp_init(&q)) != MP_OKAY) { - return res; - } - - p = mp_count_bits(n); -top: - /* q = a/2**p, a = a mod 2**p */ - if ((res = mp_div_2d(a, p, &q, a)) != MP_OKAY) { - goto ERR; - } - - /* q = q * d */ - if ((res = mp_mul(&q, d, &q)) != MP_OKAY) { - goto ERR; - } - - /* a = a + q */ - if ((res = s_mp_add(a, &q, a)) != MP_OKAY) { - goto ERR; - } - - if (mp_cmp_mag(a, n) != MP_LT) { - s_mp_sub(a, n, a); - goto top; - } - -ERR: - mp_clear(&q); - return res; -} - -#endif - -/* End: bn_mp_reduce_2k_l.c */ - -/* Start: bn_mp_reduce_2k_setup.c */ -#include -#ifdef BN_MP_REDUCE_2K_SETUP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* determines the setup value */ -int mp_reduce_2k_setup(mp_int *a, mp_digit *d) -{ - int res, p; - mp_int tmp; - - if ((res = mp_init(&tmp)) != MP_OKAY) { - return res; - } - - p = mp_count_bits(a); - if ((res = mp_2expt(&tmp, p)) != MP_OKAY) { - mp_clear(&tmp); - return res; - } - - if ((res = s_mp_sub(&tmp, a, &tmp)) != MP_OKAY) { - mp_clear(&tmp); - return res; - } - - *d = tmp.dp[0]; - mp_clear(&tmp); - return MP_OKAY; -} -#endif - -/* End: bn_mp_reduce_2k_setup.c */ - -/* Start: bn_mp_reduce_2k_setup_l.c */ -#include -#ifdef BN_MP_REDUCE_2K_SETUP_L_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* determines the setup value */ -int mp_reduce_2k_setup_l(mp_int *a, mp_int *d) -{ - int res; - mp_int tmp; - - if ((res = mp_init(&tmp)) != MP_OKAY) { - return res; - } - - if ((res = mp_2expt(&tmp, mp_count_bits(a))) != MP_OKAY) { - goto ERR; - } - - if ((res = s_mp_sub(&tmp, a, d)) != MP_OKAY) { - goto ERR; - } - -ERR: - mp_clear(&tmp); - return res; -} -#endif - -/* End: bn_mp_reduce_2k_setup_l.c */ - -/* Start: bn_mp_reduce_is_2k.c */ -#include -#ifdef BN_MP_REDUCE_IS_2K_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* determines if mp_reduce_2k can be used */ -int mp_reduce_is_2k(mp_int *a) -{ - int ix, iy, iw; - mp_digit iz; - - if (a->used == 0) { - return MP_NO; - } else if (a->used == 1) { - return MP_YES; - } else if (a->used > 1) { - iy = mp_count_bits(a); - iz = 1; - iw = 1; - - /* Test every bit from the second digit up, must be 1 */ - for (ix = DIGIT_BIT; ix < iy; ix++) { - if ((a->dp[iw] & iz) == 0) { - return MP_NO; - } - iz <<= 1; - if (iz > (mp_digit)MP_MASK) { - ++iw; - iz = 1; - } - } - } - return MP_YES; -} - -#endif - -/* End: bn_mp_reduce_is_2k.c */ - -/* Start: bn_mp_reduce_is_2k_l.c */ -#include -#ifdef BN_MP_REDUCE_IS_2K_L_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* determines if reduce_2k_l can be used */ -int mp_reduce_is_2k_l(mp_int *a) -{ - int ix, iy; - - if (a->used == 0) { - return MP_NO; - } else if (a->used == 1) { - return MP_YES; - } else if (a->used > 1) { - /* if more than half of the digits are -1 we're sold */ - for (iy = ix = 0; ix < a->used; ix++) { - if (a->dp[ix] == MP_MASK) { - ++iy; - } - } - return (iy >= (a->used/2)) ? MP_YES : MP_NO; - - } - return MP_NO; -} - -#endif - -/* End: bn_mp_reduce_is_2k_l.c */ - -/* Start: bn_mp_reduce_setup.c */ -#include -#ifdef BN_MP_REDUCE_SETUP_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* pre-calculate the value required for Barrett reduction - * For a given modulus "b" it calulates the value required in "a" - */ -int mp_reduce_setup (mp_int * a, mp_int * b) -{ - int res; - - if ((res = mp_2expt (a, b->used * 2 * DIGIT_BIT)) != MP_OKAY) { - return res; - } - return mp_div (a, b, a, NULL); -} -#endif - -/* End: bn_mp_reduce_setup.c */ - -/* Start: bn_mp_rshd.c */ -#include -#ifdef BN_MP_RSHD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* shift right a certain amount of digits */ -void mp_rshd (mp_int * a, int b) -{ - int x; - - /* if b <= 0 then ignore it */ - if (b <= 0) { - return; - } - - /* if b > used then simply zero it and return */ - if (a->used <= b) { - mp_zero (a); - return; - } - - { - register mp_digit *bottom, *top; - - /* shift the digits down */ - - /* bottom */ - bottom = a->dp; - - /* top [offset into digits] */ - top = a->dp + b; - - /* this is implemented as a sliding window where - * the window is b-digits long and digits from - * the top of the window are copied to the bottom - * - * e.g. - - b-2 | b-1 | b0 | b1 | b2 | ... | bb | ----> - /\ | ----> - \-------------------/ ----> - */ - for (x = 0; x < (a->used - b); x++) { - *bottom++ = *top++; - } - - /* zero the top digits */ - for (; x < a->used; x++) { - *bottom++ = 0; - } - } - - /* remove excess digits */ - a->used -= b; -} -#endif - -/* End: bn_mp_rshd.c */ - -/* Start: bn_mp_set.c */ -#include -#ifdef BN_MP_SET_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* set to a digit */ -void mp_set (mp_int * a, mp_digit b) -{ - mp_zero (a); - a->dp[0] = b & MP_MASK; - a->used = (a->dp[0] != 0) ? 1 : 0; -} -#endif - -/* End: bn_mp_set.c */ - -/* Start: bn_mp_set_int.c */ -#include -#ifdef BN_MP_SET_INT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* set a 32-bit const */ -int mp_set_int (mp_int * a, unsigned long b) -{ - int x, res; - - mp_zero (a); - - /* set four bits at a time */ - for (x = 0; x < 8; x++) { - /* shift the number up four bits */ - if ((res = mp_mul_2d (a, 4, a)) != MP_OKAY) { - return res; - } - - /* OR in the top four bits of the source */ - a->dp[0] |= (b >> 28) & 15; - - /* shift the source up to the next four bits */ - b <<= 4; - - /* ensure that digits are not clamped off */ - a->used += 1; - } - mp_clamp (a); - return MP_OKAY; -} -#endif - -/* End: bn_mp_set_int.c */ - -/* Start: bn_mp_shrink.c */ -#include -#ifdef BN_MP_SHRINK_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* shrink a bignum */ -int mp_shrink (mp_int * a) -{ - mp_digit *tmp; - int used = 1; - - if(a->used > 0) - used = a->used; - - if (a->alloc != used) { - if ((tmp = OPT_CAST(mp_digit) XREALLOC (a->dp, sizeof (mp_digit) * used)) == NULL) { - return MP_MEM; - } - a->dp = tmp; - a->alloc = used; - } - return MP_OKAY; -} -#endif - -/* End: bn_mp_shrink.c */ - -/* Start: bn_mp_signed_bin_size.c */ -#include -#ifdef BN_MP_SIGNED_BIN_SIZE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* get the size for an signed equivalent */ -int mp_signed_bin_size (mp_int * a) -{ - return 1 + mp_unsigned_bin_size (a); -} -#endif - -/* End: bn_mp_signed_bin_size.c */ - -/* Start: bn_mp_sqr.c */ -#include -#ifdef BN_MP_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* computes b = a*a */ -int -mp_sqr (mp_int * a, mp_int * b) -{ - int res; - -#ifdef BN_MP_TOOM_SQR_C - /* use Toom-Cook? */ - if (a->used >= TOOM_SQR_CUTOFF) { - res = mp_toom_sqr(a, b); - /* Karatsuba? */ - } else -#endif -#ifdef BN_MP_KARATSUBA_SQR_C -if (a->used >= KARATSUBA_SQR_CUTOFF) { - res = mp_karatsuba_sqr (a, b); - } else -#endif - { -#ifdef BN_FAST_S_MP_SQR_C - /* can we use the fast comba multiplier? */ - if ((a->used * 2 + 1) < MP_WARRAY && - a->used < - (1 << (sizeof(mp_word) * CHAR_BIT - 2*DIGIT_BIT - 1))) { - res = fast_s_mp_sqr (a, b); - } else -#endif -#ifdef BN_S_MP_SQR_C - res = s_mp_sqr (a, b); -#else - res = MP_VAL; -#endif - } - b->sign = MP_ZPOS; - return res; -} -#endif - -/* End: bn_mp_sqr.c */ - -/* Start: bn_mp_sqrmod.c */ -#include -#ifdef BN_MP_SQRMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* c = a * a (mod b) */ -int -mp_sqrmod (mp_int * a, mp_int * b, mp_int * c) -{ - int res; - mp_int t; - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - if ((res = mp_sqr (a, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - res = mp_mod (&t, b, c); - mp_clear (&t); - return res; -} -#endif - -/* End: bn_mp_sqrmod.c */ - -/* Start: bn_mp_sqrt.c */ -#include - -#ifdef BN_MP_SQRT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* this function is less generic than mp_n_root, simpler and faster */ -int mp_sqrt(mp_int *arg, mp_int *ret) -{ - int res; - mp_int t1,t2; - - /* must be positive */ - if (arg->sign == MP_NEG) { - return MP_VAL; - } - - /* easy out */ - if (mp_iszero(arg) == MP_YES) { - mp_zero(ret); - return MP_OKAY; - } - - if ((res = mp_init_copy(&t1, arg)) != MP_OKAY) { - return res; - } - - if ((res = mp_init(&t2)) != MP_OKAY) { - goto E2; - } - - /* First approx. (not very bad for large arg) */ - mp_rshd (&t1,t1.used/2); - - /* t1 > 0 */ - if ((res = mp_div(arg,&t1,&t2,NULL)) != MP_OKAY) { - goto E1; - } - if ((res = mp_add(&t1,&t2,&t1)) != MP_OKAY) { - goto E1; - } - if ((res = mp_div_2(&t1,&t1)) != MP_OKAY) { - goto E1; - } - /* And now t1 > sqrt(arg) */ - do { - if ((res = mp_div(arg,&t1,&t2,NULL)) != MP_OKAY) { - goto E1; - } - if ((res = mp_add(&t1,&t2,&t1)) != MP_OKAY) { - goto E1; - } - if ((res = mp_div_2(&t1,&t1)) != MP_OKAY) { - goto E1; - } - /* t1 >= sqrt(arg) >= t2 at this point */ - } while (mp_cmp_mag(&t1,&t2) == MP_GT); - - mp_exch(&t1,ret); - -E1: mp_clear(&t2); -E2: mp_clear(&t1); - return res; -} - -#endif - -/* End: bn_mp_sqrt.c */ - -/* Start: bn_mp_sub.c */ -#include -#ifdef BN_MP_SUB_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* high level subtraction (handles signs) */ -int -mp_sub (mp_int * a, mp_int * b, mp_int * c) -{ - int sa, sb, res; - - sa = a->sign; - sb = b->sign; - - if (sa != sb) { - /* subtract a negative from a positive, OR */ - /* subtract a positive from a negative. */ - /* In either case, ADD their magnitudes, */ - /* and use the sign of the first number. */ - c->sign = sa; - res = s_mp_add (a, b, c); - } else { - /* subtract a positive from a positive, OR */ - /* subtract a negative from a negative. */ - /* First, take the difference between their */ - /* magnitudes, then... */ - if (mp_cmp_mag (a, b) != MP_LT) { - /* Copy the sign from the first */ - c->sign = sa; - /* The first has a larger or equal magnitude */ - res = s_mp_sub (a, b, c); - } else { - /* The result has the *opposite* sign from */ - /* the first number. */ - c->sign = (sa == MP_ZPOS) ? MP_NEG : MP_ZPOS; - /* The second has a larger magnitude */ - res = s_mp_sub (b, a, c); - } - } - return res; -} - -#endif - -/* End: bn_mp_sub.c */ - -/* Start: bn_mp_sub_d.c */ -#include -#ifdef BN_MP_SUB_D_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* single digit subtraction */ -int -mp_sub_d (mp_int * a, mp_digit b, mp_int * c) -{ - mp_digit *tmpa, *tmpc, mu; - int res, ix, oldused; - - /* grow c as required */ - if (c->alloc < a->used + 1) { - if ((res = mp_grow(c, a->used + 1)) != MP_OKAY) { - return res; - } - } - - /* if a is negative just do an unsigned - * addition [with fudged signs] - */ - if (a->sign == MP_NEG) { - a->sign = MP_ZPOS; - res = mp_add_d(a, b, c); - a->sign = c->sign = MP_NEG; - - /* clamp */ - mp_clamp(c); - - return res; - } - - /* setup regs */ - oldused = c->used; - tmpa = a->dp; - tmpc = c->dp; - - /* if a <= b simply fix the single digit */ - if ((a->used == 1 && a->dp[0] <= b) || a->used == 0) { - if (a->used == 1) { - *tmpc++ = b - *tmpa; - } else { - *tmpc++ = b; - } - ix = 1; - - /* negative/1digit */ - c->sign = MP_NEG; - c->used = 1; - } else { - /* positive/size */ - c->sign = MP_ZPOS; - c->used = a->used; - - /* subtract first digit */ - *tmpc = *tmpa++ - b; - mu = *tmpc >> (sizeof(mp_digit) * CHAR_BIT - 1); - *tmpc++ &= MP_MASK; - - /* handle rest of the digits */ - for (ix = 1; ix < a->used; ix++) { - *tmpc = *tmpa++ - mu; - mu = *tmpc >> (sizeof(mp_digit) * CHAR_BIT - 1); - *tmpc++ &= MP_MASK; - } - } - - /* zero excess digits */ - while (ix++ < oldused) { - *tmpc++ = 0; - } - mp_clamp(c); - return MP_OKAY; -} - -#endif - -/* End: bn_mp_sub_d.c */ - -/* Start: bn_mp_submod.c */ -#include -#ifdef BN_MP_SUBMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* d = a - b (mod c) */ -int -mp_submod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) -{ - int res; - mp_int t; - - - if ((res = mp_init (&t)) != MP_OKAY) { - return res; - } - - if ((res = mp_sub (a, b, &t)) != MP_OKAY) { - mp_clear (&t); - return res; - } - res = mp_mod (&t, c, d); - mp_clear (&t); - return res; -} -#endif - -/* End: bn_mp_submod.c */ - -/* Start: bn_mp_to_signed_bin.c */ -#include -#ifdef BN_MP_TO_SIGNED_BIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* store in signed [big endian] format */ -int mp_to_signed_bin (mp_int * a, unsigned char *b) -{ - int res; - - if ((res = mp_to_unsigned_bin (a, b + 1)) != MP_OKAY) { - return res; - } - b[0] = (unsigned char) ((a->sign == MP_ZPOS) ? 0 : 1); - return MP_OKAY; -} -#endif - -/* End: bn_mp_to_signed_bin.c */ - -/* Start: bn_mp_to_signed_bin_n.c */ -#include -#ifdef BN_MP_TO_SIGNED_BIN_N_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* store in signed [big endian] format */ -int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) -{ - if (*outlen < (unsigned long)mp_signed_bin_size(a)) { - return MP_VAL; - } - *outlen = mp_signed_bin_size(a); - return mp_to_signed_bin(a, b); -} -#endif - -/* End: bn_mp_to_signed_bin_n.c */ - -/* Start: bn_mp_to_unsigned_bin.c */ -#include -#ifdef BN_MP_TO_UNSIGNED_BIN_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* store in unsigned [big endian] format */ -int mp_to_unsigned_bin (mp_int * a, unsigned char *b) -{ - int x, res; - mp_int t; - - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - - x = 0; - while (mp_iszero (&t) == 0) { -#ifndef MP_8BIT - b[x++] = (unsigned char) (t.dp[0] & 255); -#else - b[x++] = (unsigned char) (t.dp[0] | ((t.dp[1] & 0x01) << 7)); -#endif - if ((res = mp_div_2d (&t, 8, &t, NULL)) != MP_OKAY) { - mp_clear (&t); - return res; - } - } - bn_reverse (b, x); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_mp_to_unsigned_bin.c */ - -/* Start: bn_mp_to_unsigned_bin_n.c */ -#include -#ifdef BN_MP_TO_UNSIGNED_BIN_N_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* store in unsigned [big endian] format */ -int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) -{ - if (*outlen < (unsigned long)mp_unsigned_bin_size(a)) { - return MP_VAL; - } - *outlen = mp_unsigned_bin_size(a); - return mp_to_unsigned_bin(a, b); -} -#endif - -/* End: bn_mp_to_unsigned_bin_n.c */ - -/* Start: bn_mp_toom_mul.c */ -#include -#ifdef BN_MP_TOOM_MUL_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* multiplication using the Toom-Cook 3-way algorithm - * - * Much more complicated than Karatsuba but has a lower - * asymptotic running time of O(N**1.464). This algorithm is - * only particularly useful on VERY large inputs - * (we're talking 1000s of digits here...). -*/ -int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c) -{ - mp_int w0, w1, w2, w3, w4, tmp1, tmp2, a0, a1, a2, b0, b1, b2; - int res, B; - - /* init temps */ - if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, - &a0, &a1, &a2, &b0, &b1, - &b2, &tmp1, &tmp2, NULL)) != MP_OKAY) { - return res; - } - - /* B */ - B = MIN(a->used, b->used) / 3; - - /* a = a2 * B**2 + a1 * B + a0 */ - if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_copy(a, &a1)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&a1, B); - mp_mod_2d(&a1, DIGIT_BIT * B, &a1); - - if ((res = mp_copy(a, &a2)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&a2, B*2); - - /* b = b2 * B**2 + b1 * B + b0 */ - if ((res = mp_mod_2d(b, DIGIT_BIT * B, &b0)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_copy(b, &b1)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&b1, B); - mp_mod_2d(&b1, DIGIT_BIT * B, &b1); - - if ((res = mp_copy(b, &b2)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&b2, B*2); - - /* w0 = a0*b0 */ - if ((res = mp_mul(&a0, &b0, &w0)) != MP_OKAY) { - goto ERR; - } - - /* w4 = a2 * b2 */ - if ((res = mp_mul(&a2, &b2, &w4)) != MP_OKAY) { - goto ERR; - } - - /* w1 = (a2 + 2(a1 + 2a0))(b2 + 2(b1 + 2b0)) */ - if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_mul_2(&b0, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp2, &b1, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp2, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp2, &b2, &tmp2)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_mul(&tmp1, &tmp2, &w1)) != MP_OKAY) { - goto ERR; - } - - /* w3 = (a0 + 2(a1 + 2a2))(b0 + 2(b1 + 2b2)) */ - if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_mul_2(&b2, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp2, &b1, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp2, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_mul(&tmp1, &tmp2, &w3)) != MP_OKAY) { - goto ERR; - } - - - /* w2 = (a2 + a1 + a0)(b2 + b1 + b0) */ - if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&b2, &b1, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul(&tmp1, &tmp2, &w2)) != MP_OKAY) { - goto ERR; - } - - /* now solve the matrix - - 0 0 0 0 1 - 1 2 4 8 16 - 1 1 1 1 1 - 16 8 4 2 1 - 1 0 0 0 0 - - using 12 subtractions, 4 shifts, - 2 small divisions and 1 small multiplication - */ - - /* r1 - r4 */ - if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r0 */ - if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/2 */ - if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3/2 */ - if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { - goto ERR; - } - /* r2 - r0 - r4 */ - if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1 - 8r0 */ - if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - 8r4 */ - if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { - goto ERR; - } - /* 3r2 - r1 - r3 */ - if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/3 */ - if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { - goto ERR; - } - /* r3/3 */ - if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { - goto ERR; - } - - /* at this point shift W[n] by B*n */ - if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_add(&w0, &w1, c)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, c, c)) != MP_OKAY) { - goto ERR; - } - -ERR: - mp_clear_multi(&w0, &w1, &w2, &w3, &w4, - &a0, &a1, &a2, &b0, &b1, - &b2, &tmp1, &tmp2, NULL); - return res; -} - -#endif - -/* End: bn_mp_toom_mul.c */ - -/* Start: bn_mp_toom_sqr.c */ -#include -#ifdef BN_MP_TOOM_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* squaring using Toom-Cook 3-way algorithm */ -int -mp_toom_sqr(mp_int *a, mp_int *b) -{ - mp_int w0, w1, w2, w3, w4, tmp1, a0, a1, a2; - int res, B; - - /* init temps */ - if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL)) != MP_OKAY) { - return res; - } - - /* B */ - B = a->used / 3; - - /* a = a2 * B**2 + a1 * B + a0 */ - if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_copy(a, &a1)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&a1, B); - mp_mod_2d(&a1, DIGIT_BIT * B, &a1); - - if ((res = mp_copy(a, &a2)) != MP_OKAY) { - goto ERR; - } - mp_rshd(&a2, B*2); - - /* w0 = a0*a0 */ - if ((res = mp_sqr(&a0, &w0)) != MP_OKAY) { - goto ERR; - } - - /* w4 = a2 * a2 */ - if ((res = mp_sqr(&a2, &w4)) != MP_OKAY) { - goto ERR; - } - - /* w1 = (a2 + 2(a1 + 2a0))**2 */ - if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_sqr(&tmp1, &w1)) != MP_OKAY) { - goto ERR; - } - - /* w3 = (a0 + 2(a1 + 2a2))**2 */ - if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_sqr(&tmp1, &w3)) != MP_OKAY) { - goto ERR; - } - - - /* w2 = (a2 + a1 + a0)**2 */ - if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sqr(&tmp1, &w2)) != MP_OKAY) { - goto ERR; - } - - /* now solve the matrix - - 0 0 0 0 1 - 1 2 4 8 16 - 1 1 1 1 1 - 16 8 4 2 1 - 1 0 0 0 0 - - using 12 subtractions, 4 shifts, 2 small divisions and 1 small multiplication. - */ - - /* r1 - r4 */ - if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r0 */ - if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/2 */ - if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3/2 */ - if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) { - goto ERR; - } - /* r2 - r0 - r4 */ - if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1 - 8r0 */ - if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - 8r4 */ - if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) { - goto ERR; - } - /* 3r2 - r1 - r3 */ - if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) { - goto ERR; - } - /* r1 - r2 */ - if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) { - goto ERR; - } - /* r3 - r2 */ - if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) { - goto ERR; - } - /* r1/3 */ - if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) { - goto ERR; - } - /* r3/3 */ - if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) { - goto ERR; - } - - /* at this point shift W[n] by B*n */ - if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) { - goto ERR; - } - - if ((res = mp_add(&w0, &w1, b)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) { - goto ERR; - } - if ((res = mp_add(&tmp1, b, b)) != MP_OKAY) { - goto ERR; - } - -ERR: - mp_clear_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL); - return res; -} - -#endif - -/* End: bn_mp_toom_sqr.c */ - -/* Start: bn_mp_toradix.c */ -#include -#ifdef BN_MP_TORADIX_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* stores a bignum as a ASCII string in a given radix (2..64) */ -int mp_toradix (mp_int * a, char *str, int radix) -{ - int res, digs; - mp_int t; - mp_digit d; - char *_s = str; - - /* check range of the radix */ - if (radix < 2 || radix > 64) { - return MP_VAL; - } - - /* quick out if its zero */ - if (mp_iszero(a) == 1) { - *str++ = '0'; - *str = '\0'; - return MP_OKAY; - } - - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - - /* if it is negative output a - */ - if (t.sign == MP_NEG) { - ++_s; - *str++ = '-'; - t.sign = MP_ZPOS; - } - - digs = 0; - while (mp_iszero (&t) == 0) { - if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) { - mp_clear (&t); - return res; - } - *str++ = mp_s_rmap[d]; - ++digs; - } - - /* reverse the digits of the string. In this case _s points - * to the first digit [exluding the sign] of the number] - */ - bn_reverse ((unsigned char *)_s, digs); - - /* append a NULL so the string is properly terminated */ - *str = '\0'; - - mp_clear (&t); - return MP_OKAY; -} - -#endif - -/* End: bn_mp_toradix.c */ - -/* Start: bn_mp_toradix_n.c */ -#include -#ifdef BN_MP_TORADIX_N_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* stores a bignum as a ASCII string in a given radix (2..64) - * - * Stores upto maxlen-1 chars and always a NULL byte - */ -int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) -{ - int res, digs; - mp_int t; - mp_digit d; - char *_s = str; - - /* check range of the maxlen, radix */ - if (maxlen < 2 || radix < 2 || radix > 64) { - return MP_VAL; - } - - /* quick out if its zero */ - if (mp_iszero(a) == MP_YES) { - *str++ = '0'; - *str = '\0'; - return MP_OKAY; - } - - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - - /* if it is negative output a - */ - if (t.sign == MP_NEG) { - /* we have to reverse our digits later... but not the - sign!! */ - ++_s; - - /* store the flag and mark the number as positive */ - *str++ = '-'; - t.sign = MP_ZPOS; - - /* subtract a char */ - --maxlen; - } - - digs = 0; - while (mp_iszero (&t) == 0) { - if (--maxlen < 1) { - /* no more room */ - break; - } - if ((res = mp_div_d (&t, (mp_digit) radix, &t, &d)) != MP_OKAY) { - mp_clear (&t); - return res; - } - *str++ = mp_s_rmap[d]; - ++digs; - } - - /* reverse the digits of the string. In this case _s points - * to the first digit [exluding the sign] of the number - */ - bn_reverse ((unsigned char *)_s, digs); - - /* append a NULL so the string is properly terminated */ - *str = '\0'; - - mp_clear (&t); - return MP_OKAY; -} - -#endif - -/* End: bn_mp_toradix_n.c */ - -/* Start: bn_mp_unsigned_bin_size.c */ -#include -#ifdef BN_MP_UNSIGNED_BIN_SIZE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* get the size for an unsigned equivalent */ -int mp_unsigned_bin_size (mp_int * a) -{ - int size = mp_count_bits (a); - return (size / 8 + ((size & 7) != 0 ? 1 : 0)); -} -#endif - -/* End: bn_mp_unsigned_bin_size.c */ - -/* Start: bn_mp_xor.c */ -#include -#ifdef BN_MP_XOR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* XOR two ints together */ -int -mp_xor (mp_int * a, mp_int * b, mp_int * c) -{ - int res, ix, px; - mp_int t, *x; - - if (a->used > b->used) { - if ((res = mp_init_copy (&t, a)) != MP_OKAY) { - return res; - } - px = b->used; - x = b; - } else { - if ((res = mp_init_copy (&t, b)) != MP_OKAY) { - return res; - } - px = a->used; - x = a; - } - - for (ix = 0; ix < px; ix++) { - t.dp[ix] ^= x->dp[ix]; - } - mp_clamp (&t); - mp_exch (c, &t); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_mp_xor.c */ - -/* Start: bn_mp_zero.c */ -#include -#ifdef BN_MP_ZERO_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* set to zero */ -void mp_zero (mp_int * a) -{ - int n; - mp_digit *tmp; - - a->sign = MP_ZPOS; - a->used = 0; - - tmp = a->dp; - for (n = 0; n < a->alloc; n++) { - *tmp++ = 0; - } -} -#endif - -/* End: bn_mp_zero.c */ - -/* Start: bn_prime_tab.c */ -#include -#ifdef BN_PRIME_TAB_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ -const mp_digit ltm_prime_tab[] = { - 0x0002, 0x0003, 0x0005, 0x0007, 0x000B, 0x000D, 0x0011, 0x0013, - 0x0017, 0x001D, 0x001F, 0x0025, 0x0029, 0x002B, 0x002F, 0x0035, - 0x003B, 0x003D, 0x0043, 0x0047, 0x0049, 0x004F, 0x0053, 0x0059, - 0x0061, 0x0065, 0x0067, 0x006B, 0x006D, 0x0071, 0x007F, -#ifndef MP_8BIT - 0x0083, - 0x0089, 0x008B, 0x0095, 0x0097, 0x009D, 0x00A3, 0x00A7, 0x00AD, - 0x00B3, 0x00B5, 0x00BF, 0x00C1, 0x00C5, 0x00C7, 0x00D3, 0x00DF, - 0x00E3, 0x00E5, 0x00E9, 0x00EF, 0x00F1, 0x00FB, 0x0101, 0x0107, - 0x010D, 0x010F, 0x0115, 0x0119, 0x011B, 0x0125, 0x0133, 0x0137, - - 0x0139, 0x013D, 0x014B, 0x0151, 0x015B, 0x015D, 0x0161, 0x0167, - 0x016F, 0x0175, 0x017B, 0x017F, 0x0185, 0x018D, 0x0191, 0x0199, - 0x01A3, 0x01A5, 0x01AF, 0x01B1, 0x01B7, 0x01BB, 0x01C1, 0x01C9, - 0x01CD, 0x01CF, 0x01D3, 0x01DF, 0x01E7, 0x01EB, 0x01F3, 0x01F7, - 0x01FD, 0x0209, 0x020B, 0x021D, 0x0223, 0x022D, 0x0233, 0x0239, - 0x023B, 0x0241, 0x024B, 0x0251, 0x0257, 0x0259, 0x025F, 0x0265, - 0x0269, 0x026B, 0x0277, 0x0281, 0x0283, 0x0287, 0x028D, 0x0293, - 0x0295, 0x02A1, 0x02A5, 0x02AB, 0x02B3, 0x02BD, 0x02C5, 0x02CF, - - 0x02D7, 0x02DD, 0x02E3, 0x02E7, 0x02EF, 0x02F5, 0x02F9, 0x0301, - 0x0305, 0x0313, 0x031D, 0x0329, 0x032B, 0x0335, 0x0337, 0x033B, - 0x033D, 0x0347, 0x0355, 0x0359, 0x035B, 0x035F, 0x036D, 0x0371, - 0x0373, 0x0377, 0x038B, 0x038F, 0x0397, 0x03A1, 0x03A9, 0x03AD, - 0x03B3, 0x03B9, 0x03C7, 0x03CB, 0x03D1, 0x03D7, 0x03DF, 0x03E5, - 0x03F1, 0x03F5, 0x03FB, 0x03FD, 0x0407, 0x0409, 0x040F, 0x0419, - 0x041B, 0x0425, 0x0427, 0x042D, 0x043F, 0x0443, 0x0445, 0x0449, - 0x044F, 0x0455, 0x045D, 0x0463, 0x0469, 0x047F, 0x0481, 0x048B, - - 0x0493, 0x049D, 0x04A3, 0x04A9, 0x04B1, 0x04BD, 0x04C1, 0x04C7, - 0x04CD, 0x04CF, 0x04D5, 0x04E1, 0x04EB, 0x04FD, 0x04FF, 0x0503, - 0x0509, 0x050B, 0x0511, 0x0515, 0x0517, 0x051B, 0x0527, 0x0529, - 0x052F, 0x0551, 0x0557, 0x055D, 0x0565, 0x0577, 0x0581, 0x058F, - 0x0593, 0x0595, 0x0599, 0x059F, 0x05A7, 0x05AB, 0x05AD, 0x05B3, - 0x05BF, 0x05C9, 0x05CB, 0x05CF, 0x05D1, 0x05D5, 0x05DB, 0x05E7, - 0x05F3, 0x05FB, 0x0607, 0x060D, 0x0611, 0x0617, 0x061F, 0x0623, - 0x062B, 0x062F, 0x063D, 0x0641, 0x0647, 0x0649, 0x064D, 0x0653 -#endif -}; -#endif - -/* End: bn_prime_tab.c */ - -/* Start: bn_reverse.c */ -#include -#ifdef BN_REVERSE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* reverse an array, used for radix code */ -void -bn_reverse (unsigned char *s, int len) -{ - int ix, iy; - unsigned char t; - - ix = 0; - iy = len - 1; - while (ix < iy) { - t = s[ix]; - s[ix] = s[iy]; - s[iy] = t; - ++ix; - --iy; - } -} -#endif - -/* End: bn_reverse.c */ - -/* Start: bn_s_mp_add.c */ -#include -#ifdef BN_S_MP_ADD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* low level addition, based on HAC pp.594, Algorithm 14.7 */ -int -s_mp_add (mp_int * a, mp_int * b, mp_int * c) -{ - mp_int *x; - int olduse, res, min, max; - - /* find sizes, we let |a| <= |b| which means we have to sort - * them. "x" will point to the input with the most digits - */ - if (a->used > b->used) { - min = b->used; - max = a->used; - x = a; - } else { - min = a->used; - max = b->used; - x = b; - } - - /* init result */ - if (c->alloc < max + 1) { - if ((res = mp_grow (c, max + 1)) != MP_OKAY) { - return res; - } - } - - /* get old used digit count and set new one */ - olduse = c->used; - c->used = max + 1; - - { - register mp_digit u, *tmpa, *tmpb, *tmpc; - register int i; - - /* alias for digit pointers */ - - /* first input */ - tmpa = a->dp; - - /* second input */ - tmpb = b->dp; - - /* destination */ - tmpc = c->dp; - - /* zero the carry */ - u = 0; - for (i = 0; i < min; i++) { - /* Compute the sum at one digit, T[i] = A[i] + B[i] + U */ - *tmpc = *tmpa++ + *tmpb++ + u; - - /* U = carry bit of T[i] */ - u = *tmpc >> ((mp_digit)DIGIT_BIT); - - /* take away carry bit from T[i] */ - *tmpc++ &= MP_MASK; - } - - /* now copy higher words if any, that is in A+B - * if A or B has more digits add those in - */ - if (min != max) { - for (; i < max; i++) { - /* T[i] = X[i] + U */ - *tmpc = x->dp[i] + u; - - /* U = carry bit of T[i] */ - u = *tmpc >> ((mp_digit)DIGIT_BIT); - - /* take away carry bit from T[i] */ - *tmpc++ &= MP_MASK; - } - } - - /* add carry */ - *tmpc++ = u; - - /* clear digits above oldused */ - for (i = c->used; i < olduse; i++) { - *tmpc++ = 0; - } - } - - mp_clamp (c); - return MP_OKAY; -} -#endif - -/* End: bn_s_mp_add.c */ - -/* Start: bn_s_mp_exptmod.c */ -#include -#ifdef BN_S_MP_EXPTMOD_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ -#ifdef MP_LOW_MEM - #define TAB_SIZE 32 -#else - #define TAB_SIZE 256 -#endif - -int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) -{ - mp_int M[TAB_SIZE], res, mu; - mp_digit buf; - int err, bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize; - int (*redux)(mp_int*,mp_int*,mp_int*); - - /* find window size */ - x = mp_count_bits (X); - if (x <= 7) { - winsize = 2; - } else if (x <= 36) { - winsize = 3; - } else if (x <= 140) { - winsize = 4; - } else if (x <= 450) { - winsize = 5; - } else if (x <= 1303) { - winsize = 6; - } else if (x <= 3529) { - winsize = 7; - } else { - winsize = 8; - } - -#ifdef MP_LOW_MEM - if (winsize > 5) { - winsize = 5; - } -#endif - - /* init M array */ - /* init first cell */ - if ((err = mp_init(&M[1])) != MP_OKAY) { - return err; - } - - /* now init the second half of the array */ - for (x = 1<<(winsize-1); x < (1 << winsize); x++) { - if ((err = mp_init(&M[x])) != MP_OKAY) { - for (y = 1<<(winsize-1); y < x; y++) { - mp_clear (&M[y]); - } - mp_clear(&M[1]); - return err; - } - } - - /* create mu, used for Barrett reduction */ - if ((err = mp_init (&mu)) != MP_OKAY) { - goto LBL_M; - } - - if (redmode == 0) { - if ((err = mp_reduce_setup (&mu, P)) != MP_OKAY) { - goto LBL_MU; - } - redux = mp_reduce; - } else { - if ((err = mp_reduce_2k_setup_l (P, &mu)) != MP_OKAY) { - goto LBL_MU; - } - redux = mp_reduce_2k_l; - } - - /* create M table - * - * The M table contains powers of the base, - * e.g. M[x] = G**x mod P - * - * The first half of the table is not - * computed though accept for M[0] and M[1] - */ - if ((err = mp_mod (G, P, &M[1])) != MP_OKAY) { - goto LBL_MU; - } - - /* compute the value at M[1<<(winsize-1)] by squaring - * M[1] (winsize-1) times - */ - if ((err = mp_copy (&M[1], &M[1 << (winsize - 1)])) != MP_OKAY) { - goto LBL_MU; - } - - for (x = 0; x < (winsize - 1); x++) { - /* square it */ - if ((err = mp_sqr (&M[1 << (winsize - 1)], - &M[1 << (winsize - 1)])) != MP_OKAY) { - goto LBL_MU; - } - - /* reduce modulo P */ - if ((err = redux (&M[1 << (winsize - 1)], P, &mu)) != MP_OKAY) { - goto LBL_MU; - } - } - - /* create upper table, that is M[x] = M[x-1] * M[1] (mod P) - * for x = (2**(winsize - 1) + 1) to (2**winsize - 1) - */ - for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) { - if ((err = mp_mul (&M[x - 1], &M[1], &M[x])) != MP_OKAY) { - goto LBL_MU; - } - if ((err = redux (&M[x], P, &mu)) != MP_OKAY) { - goto LBL_MU; - } - } - - /* setup result */ - if ((err = mp_init (&res)) != MP_OKAY) { - goto LBL_MU; - } - mp_set (&res, 1); - - /* set initial mode and bit cnt */ - mode = 0; - bitcnt = 1; - buf = 0; - digidx = X->used - 1; - bitcpy = 0; - bitbuf = 0; - - for (;;) { - /* grab next digit as required */ - if (--bitcnt == 0) { - /* if digidx == -1 we are out of digits */ - if (digidx == -1) { - break; - } - /* read next digit and reset the bitcnt */ - buf = X->dp[digidx--]; - bitcnt = (int) DIGIT_BIT; - } - - /* grab the next msb from the exponent */ - y = (buf >> (mp_digit)(DIGIT_BIT - 1)) & 1; - buf <<= (mp_digit)1; - - /* if the bit is zero and mode == 0 then we ignore it - * These represent the leading zero bits before the first 1 bit - * in the exponent. Technically this opt is not required but it - * does lower the # of trivial squaring/reductions used - */ - if (mode == 0 && y == 0) { - continue; - } - - /* if the bit is zero and mode == 1 then we square */ - if (mode == 1 && y == 0) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } - continue; - } - - /* else we add it to the window */ - bitbuf |= (y << (winsize - ++bitcpy)); - mode = 2; - - if (bitcpy == winsize) { - /* ok window is filled so square as required and multiply */ - /* square first */ - for (x = 0; x < winsize; x++) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } - } - - /* then multiply */ - if ((err = mp_mul (&res, &M[bitbuf], &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } - - /* empty window and reset */ - bitcpy = 0; - bitbuf = 0; - mode = 1; - } - } - - /* if bits remain then square/multiply */ - if (mode == 2 && bitcpy > 0) { - /* square then multiply if the bit is set */ - for (x = 0; x < bitcpy; x++) { - if ((err = mp_sqr (&res, &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } - - bitbuf <<= 1; - if ((bitbuf & (1 << winsize)) != 0) { - /* then multiply */ - if ((err = mp_mul (&res, &M[1], &res)) != MP_OKAY) { - goto LBL_RES; - } - if ((err = redux (&res, P, &mu)) != MP_OKAY) { - goto LBL_RES; - } - } - } - } - - mp_exch (&res, Y); - err = MP_OKAY; -LBL_RES:mp_clear (&res); -LBL_MU:mp_clear (&mu); -LBL_M: - mp_clear(&M[1]); - for (x = 1<<(winsize-1); x < (1 << winsize); x++) { - mp_clear (&M[x]); - } - return err; -} -#endif - -/* End: bn_s_mp_exptmod.c */ - -/* Start: bn_s_mp_mul_digs.c */ -#include -#ifdef BN_S_MP_MUL_DIGS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* multiplies |a| * |b| and only computes upto digs digits of result - * HAC pp. 595, Algorithm 14.12 Modified so you can control how - * many digits of output are created. - */ -int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) -{ - mp_int t; - int res, pa, pb, ix, iy; - mp_digit u; - mp_word r; - mp_digit tmpx, *tmpt, *tmpy; - - /* can we use the fast multiplier? */ - if (((digs) < MP_WARRAY) && - MIN (a->used, b->used) < - (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { - return fast_s_mp_mul_digs (a, b, c, digs); - } - - if ((res = mp_init_size (&t, digs)) != MP_OKAY) { - return res; - } - t.used = digs; - - /* compute the digits of the product directly */ - pa = a->used; - for (ix = 0; ix < pa; ix++) { - /* set the carry to zero */ - u = 0; - - /* limit ourselves to making digs digits of output */ - pb = MIN (b->used, digs - ix); - - /* setup some aliases */ - /* copy of the digit from a used within the nested loop */ - tmpx = a->dp[ix]; - - /* an alias for the destination shifted ix places */ - tmpt = t.dp + ix; - - /* an alias for the digits of b */ - tmpy = b->dp; - - /* compute the columns of the output and propagate the carry */ - for (iy = 0; iy < pb; iy++) { - /* compute the column as a mp_word */ - r = ((mp_word)*tmpt) + - ((mp_word)tmpx) * ((mp_word)*tmpy++) + - ((mp_word) u); - - /* the new column is the lower part of the result */ - *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); - - /* get the carry word from the result */ - u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); - } - /* set carry if it is placed below digs */ - if (ix + iy < digs) { - *tmpt = u; - } - } - - mp_clamp (&t); - mp_exch (&t, c); - - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_s_mp_mul_digs.c */ - -/* Start: bn_s_mp_mul_high_digs.c */ -#include -#ifdef BN_S_MP_MUL_HIGH_DIGS_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* multiplies |a| * |b| and does not compute the lower digs digits - * [meant to get the higher part of the product] - */ -int -s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) -{ - mp_int t; - int res, pa, pb, ix, iy; - mp_digit u; - mp_word r; - mp_digit tmpx, *tmpt, *tmpy; - - /* can we use the fast multiplier? */ -#ifdef BN_FAST_S_MP_MUL_HIGH_DIGS_C - if (((a->used + b->used + 1) < MP_WARRAY) - && MIN (a->used, b->used) < (1 << ((CHAR_BIT * sizeof (mp_word)) - (2 * DIGIT_BIT)))) { - return fast_s_mp_mul_high_digs (a, b, c, digs); - } -#endif - - if ((res = mp_init_size (&t, a->used + b->used + 1)) != MP_OKAY) { - return res; - } - t.used = a->used + b->used + 1; - - pa = a->used; - pb = b->used; - for (ix = 0; ix < pa; ix++) { - /* clear the carry */ - u = 0; - - /* left hand side of A[ix] * B[iy] */ - tmpx = a->dp[ix]; - - /* alias to the address of where the digits will be stored */ - tmpt = &(t.dp[digs]); - - /* alias for where to read the right hand side from */ - tmpy = b->dp + (digs - ix); - - for (iy = digs - ix; iy < pb; iy++) { - /* calculate the double precision result */ - r = ((mp_word)*tmpt) + - ((mp_word)tmpx) * ((mp_word)*tmpy++) + - ((mp_word) u); - - /* get the lower part */ - *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); - - /* carry the carry */ - u = (mp_digit) (r >> ((mp_word) DIGIT_BIT)); - } - *tmpt = u; - } - mp_clamp (&t); - mp_exch (&t, c); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_s_mp_mul_high_digs.c */ - -/* Start: bn_s_mp_sqr.c */ -#include -#ifdef BN_S_MP_SQR_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* low level squaring, b = a*a, HAC pp.596-597, Algorithm 14.16 */ -int s_mp_sqr (mp_int * a, mp_int * b) -{ - mp_int t; - int res, ix, iy, pa; - mp_word r; - mp_digit u, tmpx, *tmpt; - - pa = a->used; - if ((res = mp_init_size (&t, 2*pa + 1)) != MP_OKAY) { - return res; - } - - /* default used is maximum possible size */ - t.used = 2*pa + 1; - - for (ix = 0; ix < pa; ix++) { - /* first calculate the digit at 2*ix */ - /* calculate double precision result */ - r = ((mp_word) t.dp[2*ix]) + - ((mp_word)a->dp[ix])*((mp_word)a->dp[ix]); - - /* store lower part in result */ - t.dp[ix+ix] = (mp_digit) (r & ((mp_word) MP_MASK)); - - /* get the carry */ - u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); - - /* left hand side of A[ix] * A[iy] */ - tmpx = a->dp[ix]; - - /* alias for where to store the results */ - tmpt = t.dp + (2*ix + 1); - - for (iy = ix + 1; iy < pa; iy++) { - /* first calculate the product */ - r = ((mp_word)tmpx) * ((mp_word)a->dp[iy]); - - /* now calculate the double precision result, note we use - * addition instead of *2 since it's easier to optimize - */ - r = ((mp_word) *tmpt) + r + r + ((mp_word) u); - - /* store lower part */ - *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); - - /* get carry */ - u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); - } - /* propagate upwards */ - while (u != ((mp_digit) 0)) { - r = ((mp_word) *tmpt) + ((mp_word) u); - *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK)); - u = (mp_digit)(r >> ((mp_word) DIGIT_BIT)); - } - } - - mp_clamp (&t); - mp_exch (&t, b); - mp_clear (&t); - return MP_OKAY; -} -#endif - -/* End: bn_s_mp_sqr.c */ - -/* Start: bn_s_mp_sub.c */ -#include -#ifdef BN_S_MP_SUB_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* low level subtraction (assumes |a| > |b|), HAC pp.595 Algorithm 14.9 */ -int -s_mp_sub (mp_int * a, mp_int * b, mp_int * c) -{ - int olduse, res, min, max; - - /* find sizes */ - min = b->used; - max = a->used; - - /* init result */ - if (c->alloc < max) { - if ((res = mp_grow (c, max)) != MP_OKAY) { - return res; - } - } - olduse = c->used; - c->used = max; - - { - register mp_digit u, *tmpa, *tmpb, *tmpc; - register int i; - - /* alias for digit pointers */ - tmpa = a->dp; - tmpb = b->dp; - tmpc = c->dp; - - /* set carry to zero */ - u = 0; - for (i = 0; i < min; i++) { - /* T[i] = A[i] - B[i] - U */ - *tmpc = *tmpa++ - *tmpb++ - u; - - /* U = carry bit of T[i] - * Note this saves performing an AND operation since - * if a carry does occur it will propagate all the way to the - * MSB. As a result a single shift is enough to get the carry - */ - u = *tmpc >> ((mp_digit)(CHAR_BIT * sizeof (mp_digit) - 1)); - - /* Clear carry from T[i] */ - *tmpc++ &= MP_MASK; - } - - /* now copy higher words if any, e.g. if A has more digits than B */ - for (; i < max; i++) { - /* T[i] = A[i] - U */ - *tmpc = *tmpa++ - u; - - /* U = carry bit of T[i] */ - u = *tmpc >> ((mp_digit)(CHAR_BIT * sizeof (mp_digit) - 1)); - - /* Clear carry from T[i] */ - *tmpc++ &= MP_MASK; - } - - /* clear digits above used (since we may not have grown result above) */ - for (i = c->used; i < olduse; i++) { - *tmpc++ = 0; - } - } - - mp_clamp (c); - return MP_OKAY; -} - -#endif - -/* End: bn_s_mp_sub.c */ - -/* Start: bncore.c */ -#include -#ifdef BNCORE_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com - */ - -/* Known optimal configurations - - CPU /Compiler /MUL CUTOFF/SQR CUTOFF -------------------------------------------------------------- - Intel P4 Northwood /GCC v3.4.1 / 88/ 128/LTM 0.32 ;-) - AMD Athlon64 /GCC v3.4.4 / 80/ 120/LTM 0.35 - -*/ - -int KARATSUBA_MUL_CUTOFF = 80, /* Min. number of digits before Karatsuba multiplication is used. */ - KARATSUBA_SQR_CUTOFF = 120, /* Min. number of digits before Karatsuba squaring is used. */ - - TOOM_MUL_CUTOFF = 350, /* no optimal values of these are known yet so set em high */ - TOOM_SQR_CUTOFF = 400; -#endif - -/* End: bncore.c */ - - -/* EOF */ diff --git a/libtommath/tombc/grammar.txt b/libtommath/tombc/grammar.txt deleted file mode 100644 index a780e75..0000000 --- a/libtommath/tombc/grammar.txt +++ /dev/null @@ -1,35 +0,0 @@ -program := program statement | statement | empty -statement := { statement } | - identifier = numexpression; | - identifier[numexpression] = numexpression; | - function(expressionlist); | - for (identifer = numexpression; numexpression; identifier = numexpression) { statement } | - while (numexpression) { statement } | - if (numexpresion) { statement } elif | - break; | - continue; - -elif := else statement | empty -function := abs | countbits | exptmod | jacobi | print | isprime | nextprime | issquare | readinteger | exit -expressionlist := expressionlist, expression | expression - -// LR(1) !!!? -expression := string | numexpression -numexpression := cmpexpr && cmpexpr | cmpexpr \|\| cmpexpr | cmpexpr -cmpexpr := boolexpr < boolexpr | boolexpr > boolexpr | boolexpr == boolexpr | - boolexpr <= boolexpr | boolexpr >= boolexpr | boolexpr -boolexpr := shiftexpr & shiftexpr | shiftexpr ^ shiftexpr | shiftexpr \| shiftexpr | shiftexpr -shiftexpr := addsubexpr << addsubexpr | addsubexpr >> addsubexpr | addsubexpr -addsubexpr := mulexpr + mulexpr | mulexpr - mulexpr | mulexpr -mulexpr := expr * expr | expr / expr | expr % expr | expr -expr := -nexpr | nexpr -nexpr := integer | identifier | ( numexpression ) | identifier[numexpression] - -identifier := identifer digits | identifier alpha | alpha -alpha := a ... z | A ... Z -integer := hexnumber | digits -hexnumber := 0xhexdigits -hexdigits := hexdigits hexdigit | hexdigit -hexdigit := 0 ... 9 | a ... f | A ... F -digits := digits digit | digit -digit := 0 ... 9 diff --git a/libtommath/tommath.out b/libtommath/tommath.out deleted file mode 100644 index 9f62617..0000000 --- a/libtommath/tommath.out +++ /dev/null @@ -1,139 +0,0 @@ -\BOOKMARK [0][-]{chapter.1}{Introduction}{} -\BOOKMARK [1][-]{section.1.1}{Multiple Precision Arithmetic}{chapter.1} -\BOOKMARK [2][-]{subsection.1.1.1}{What is Multiple Precision Arithmetic?}{section.1.1} -\BOOKMARK [2][-]{subsection.1.1.2}{The Need for Multiple Precision Arithmetic}{section.1.1} -\BOOKMARK [2][-]{subsection.1.1.3}{Benefits of Multiple Precision Arithmetic}{section.1.1} -\BOOKMARK [1][-]{section.1.2}{Purpose of This Text}{chapter.1} -\BOOKMARK [1][-]{section.1.3}{Discussion and Notation}{chapter.1} -\BOOKMARK [2][-]{subsection.1.3.1}{Notation}{section.1.3} -\BOOKMARK [2][-]{subsection.1.3.2}{Precision Notation}{section.1.3} -\BOOKMARK [2][-]{subsection.1.3.3}{Algorithm Inputs and Outputs}{section.1.3} -\BOOKMARK [2][-]{subsection.1.3.4}{Mathematical Expressions}{section.1.3} -\BOOKMARK [2][-]{subsection.1.3.5}{Work Effort}{section.1.3} -\BOOKMARK [1][-]{section.1.4}{Exercises}{chapter.1} -\BOOKMARK [1][-]{section.1.5}{Introduction to LibTomMath}{chapter.1} -\BOOKMARK [2][-]{subsection.1.5.1}{What is LibTomMath?}{section.1.5} -\BOOKMARK [2][-]{subsection.1.5.2}{Goals of LibTomMath}{section.1.5} -\BOOKMARK [1][-]{section.1.6}{Choice of LibTomMath}{chapter.1} -\BOOKMARK [2][-]{subsection.1.6.1}{Code Base}{section.1.6} -\BOOKMARK [2][-]{subsection.1.6.2}{API Simplicity}{section.1.6} -\BOOKMARK [2][-]{subsection.1.6.3}{Optimizations}{section.1.6} -\BOOKMARK [2][-]{subsection.1.6.4}{Portability and Stability}{section.1.6} -\BOOKMARK [2][-]{subsection.1.6.5}{Choice}{section.1.6} -\BOOKMARK [0][-]{chapter.2}{Getting Started}{} -\BOOKMARK [1][-]{section.2.1}{Library Basics}{chapter.2} -\BOOKMARK [1][-]{section.2.2}{What is a Multiple Precision Integer?}{chapter.2} -\BOOKMARK [2][-]{subsection.2.2.1}{The mp\137int Structure}{section.2.2} -\BOOKMARK [1][-]{section.2.3}{Argument Passing}{chapter.2} -\BOOKMARK [1][-]{section.2.4}{Return Values}{chapter.2} -\BOOKMARK [1][-]{section.2.5}{Initialization and Clearing}{chapter.2} -\BOOKMARK [2][-]{subsection.2.5.1}{Initializing an mp\137int}{section.2.5} -\BOOKMARK [2][-]{subsection.2.5.2}{Clearing an mp\137int}{section.2.5} -\BOOKMARK [1][-]{section.2.6}{Maintenance Algorithms}{chapter.2} -\BOOKMARK [2][-]{subsection.2.6.1}{Augmenting an mp\137int's Precision}{section.2.6} -\BOOKMARK [2][-]{subsection.2.6.2}{Initializing Variable Precision mp\137ints}{section.2.6} -\BOOKMARK [2][-]{subsection.2.6.3}{Multiple Integer Initializations and Clearings}{section.2.6} -\BOOKMARK [2][-]{subsection.2.6.4}{Clamping Excess Digits}{section.2.6} -\BOOKMARK [0][-]{chapter.3}{Basic Operations}{} -\BOOKMARK [1][-]{section.3.1}{Introduction}{chapter.3} -\BOOKMARK [1][-]{section.3.2}{Assigning Values to mp\137int Structures}{chapter.3} -\BOOKMARK [2][-]{subsection.3.2.1}{Copying an mp\137int}{section.3.2} -\BOOKMARK [2][-]{subsection.3.2.2}{Creating a Clone}{section.3.2} -\BOOKMARK [1][-]{section.3.3}{Zeroing an Integer}{chapter.3} -\BOOKMARK [1][-]{section.3.4}{Sign Manipulation}{chapter.3} -\BOOKMARK [2][-]{subsection.3.4.1}{Absolute Value}{section.3.4} -\BOOKMARK [2][-]{subsection.3.4.2}{Integer Negation}{section.3.4} -\BOOKMARK [1][-]{section.3.5}{Small Constants}{chapter.3} -\BOOKMARK [2][-]{subsection.3.5.1}{Setting Small Constants}{section.3.5} -\BOOKMARK [2][-]{subsection.3.5.2}{Setting Large Constants}{section.3.5} -\BOOKMARK [1][-]{section.3.6}{Comparisons}{chapter.3} -\BOOKMARK [2][-]{subsection.3.6.1}{Unsigned Comparisions}{section.3.6} -\BOOKMARK [2][-]{subsection.3.6.2}{Signed Comparisons}{section.3.6} -\BOOKMARK [0][-]{chapter.4}{Basic Arithmetic}{} -\BOOKMARK [1][-]{section.4.1}{Introduction}{chapter.4} -\BOOKMARK [1][-]{section.4.2}{Addition and Subtraction}{chapter.4} -\BOOKMARK [2][-]{subsection.4.2.1}{Low Level Addition}{section.4.2} -\BOOKMARK [2][-]{subsection.4.2.2}{Low Level Subtraction}{section.4.2} -\BOOKMARK [2][-]{subsection.4.2.3}{High Level Addition}{section.4.2} -\BOOKMARK [2][-]{subsection.4.2.4}{High Level Subtraction}{section.4.2} -\BOOKMARK [1][-]{section.4.3}{Bit and Digit Shifting}{chapter.4} -\BOOKMARK [2][-]{subsection.4.3.1}{Multiplication by Two}{section.4.3} -\BOOKMARK [2][-]{subsection.4.3.2}{Division by Two}{section.4.3} -\BOOKMARK [1][-]{section.4.4}{Polynomial Basis Operations}{chapter.4} -\BOOKMARK [2][-]{subsection.4.4.1}{Multiplication by x}{section.4.4} -\BOOKMARK [2][-]{subsection.4.4.2}{Division by x}{section.4.4} -\BOOKMARK [1][-]{section.4.5}{Powers of Two}{chapter.4} -\BOOKMARK [2][-]{subsection.4.5.1}{Multiplication by Power of Two}{section.4.5} -\BOOKMARK [2][-]{subsection.4.5.2}{Division by Power of Two}{section.4.5} -\BOOKMARK [2][-]{subsection.4.5.3}{Remainder of Division by Power of Two}{section.4.5} -\BOOKMARK [0][-]{chapter.5}{Multiplication and Squaring}{} -\BOOKMARK [1][-]{section.5.1}{The Multipliers}{chapter.5} -\BOOKMARK [1][-]{section.5.2}{Multiplication}{chapter.5} -\BOOKMARK [2][-]{subsection.5.2.1}{The Baseline Multiplication}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.2}{Faster Multiplication by the ``Comba'' Method}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.3}{Polynomial Basis Multiplication}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.4}{Karatsuba Multiplication}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.5}{Toom-Cook 3-Way Multiplication}{section.5.2} -\BOOKMARK [2][-]{subsection.5.2.6}{Signed Multiplication}{section.5.2} -\BOOKMARK [1][-]{section.5.3}{Squaring}{chapter.5} -\BOOKMARK [2][-]{subsection.5.3.1}{The Baseline Squaring Algorithm}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.2}{Faster Squaring by the ``Comba'' Method}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.3}{Polynomial Basis Squaring}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.4}{Karatsuba Squaring}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.5}{Toom-Cook Squaring}{section.5.3} -\BOOKMARK [2][-]{subsection.5.3.6}{High Level Squaring}{section.5.3} -\BOOKMARK [0][-]{chapter.6}{Modular Reduction}{} -\BOOKMARK [1][-]{section.6.1}{Basics of Modular Reduction}{chapter.6} -\BOOKMARK [1][-]{section.6.2}{The Barrett Reduction}{chapter.6} -\BOOKMARK [2][-]{subsection.6.2.1}{Fixed Point Arithmetic}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.2}{Choosing a Radix Point}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.3}{Trimming the Quotient}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.4}{Trimming the Residue}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.5}{The Barrett Algorithm}{section.6.2} -\BOOKMARK [2][-]{subsection.6.2.6}{The Barrett Setup Algorithm}{section.6.2} -\BOOKMARK [1][-]{section.6.3}{The Montgomery Reduction}{chapter.6} -\BOOKMARK [2][-]{subsection.6.3.1}{Digit Based Montgomery Reduction}{section.6.3} -\BOOKMARK [2][-]{subsection.6.3.2}{Baseline Montgomery Reduction}{section.6.3} -\BOOKMARK [2][-]{subsection.6.3.3}{Faster ``Comba'' Montgomery Reduction}{section.6.3} -\BOOKMARK [2][-]{subsection.6.3.4}{Montgomery Setup}{section.6.3} -\BOOKMARK [1][-]{section.6.4}{The Diminished Radix Algorithm}{chapter.6} -\BOOKMARK [2][-]{subsection.6.4.1}{Choice of Moduli}{section.6.4} -\BOOKMARK [2][-]{subsection.6.4.2}{Choice of k}{section.6.4} -\BOOKMARK [2][-]{subsection.6.4.3}{Restricted Diminished Radix Reduction}{section.6.4} -\BOOKMARK [2][-]{subsection.6.4.4}{Unrestricted Diminished Radix Reduction}{section.6.4} -\BOOKMARK [1][-]{section.6.5}{Algorithm Comparison}{chapter.6} -\BOOKMARK [0][-]{chapter.7}{Exponentiation}{} -\BOOKMARK [1][-]{section.7.1}{Exponentiation Basics}{chapter.7} -\BOOKMARK [2][-]{subsection.7.1.1}{Single Digit Exponentiation}{section.7.1} -\BOOKMARK [1][-]{section.7.2}{k-ary Exponentiation}{chapter.7} -\BOOKMARK [2][-]{subsection.7.2.1}{Optimal Values of k}{section.7.2} -\BOOKMARK [2][-]{subsection.7.2.2}{Sliding-Window Exponentiation}{section.7.2} -\BOOKMARK [1][-]{section.7.3}{Modular Exponentiation}{chapter.7} -\BOOKMARK [2][-]{subsection.7.3.1}{Barrett Modular Exponentiation}{section.7.3} -\BOOKMARK [1][-]{section.7.4}{Quick Power of Two}{chapter.7} -\BOOKMARK [0][-]{chapter.8}{Higher Level Algorithms}{} -\BOOKMARK [1][-]{section.8.1}{Integer Division with Remainder}{chapter.8} -\BOOKMARK [2][-]{subsection.8.1.1}{Quotient Estimation}{section.8.1} -\BOOKMARK [2][-]{subsection.8.1.2}{Normalized Integers}{section.8.1} -\BOOKMARK [2][-]{subsection.8.1.3}{Radix- Division with Remainder}{section.8.1} -\BOOKMARK [1][-]{section.8.2}{Single Digit Helpers}{chapter.8} -\BOOKMARK [2][-]{subsection.8.2.1}{Single Digit Addition and Subtraction}{section.8.2} -\BOOKMARK [2][-]{subsection.8.2.2}{Single Digit Multiplication}{section.8.2} -\BOOKMARK [2][-]{subsection.8.2.3}{Single Digit Division}{section.8.2} -\BOOKMARK [2][-]{subsection.8.2.4}{Single Digit Root Extraction}{section.8.2} -\BOOKMARK [1][-]{section.8.3}{Random Number Generation}{chapter.8} -\BOOKMARK [1][-]{section.8.4}{Formatted Representations}{chapter.8} -\BOOKMARK [2][-]{subsection.8.4.1}{Reading Radix-n Input}{section.8.4} -\BOOKMARK [2][-]{subsection.8.4.2}{Generating Radix-n Output}{section.8.4} -\BOOKMARK [0][-]{chapter.9}{Number Theoretic Algorithms}{} -\BOOKMARK [1][-]{section.9.1}{Greatest Common Divisor}{chapter.9} -\BOOKMARK [2][-]{subsection.9.1.1}{Complete Greatest Common Divisor}{section.9.1} -\BOOKMARK [1][-]{section.9.2}{Least Common Multiple}{chapter.9} -\BOOKMARK [1][-]{section.9.3}{Jacobi Symbol Computation}{chapter.9} -\BOOKMARK [2][-]{subsection.9.3.1}{Jacobi Symbol}{section.9.3} -\BOOKMARK [1][-]{section.9.4}{Modular Inverse}{chapter.9} -\BOOKMARK [2][-]{subsection.9.4.1}{General Case}{section.9.4} -\BOOKMARK [1][-]{section.9.5}{Primality Tests}{chapter.9} -\BOOKMARK [2][-]{subsection.9.5.1}{Trial Division}{section.9.5} -\BOOKMARK [2][-]{subsection.9.5.2}{The Fermat Test}{section.9.5} -\BOOKMARK [2][-]{subsection.9.5.3}{The Miller-Rabin Test}{section.9.5} diff --git a/libtommath/tommath.pdf b/libtommath/tommath.pdf deleted file mode 100644 index c9571d8..0000000 Binary files a/libtommath/tommath.pdf and /dev/null differ diff --git a/libtommath/tommath.tex b/libtommath/tommath.tex deleted file mode 100644 index c79a537..0000000 --- a/libtommath/tommath.tex +++ /dev/null @@ -1,6691 +0,0 @@ -\documentclass[b5paper]{book} -\usepackage{hyperref} -\usepackage{makeidx} -\usepackage{amssymb} -\usepackage{color} -\usepackage{alltt} -\usepackage{graphicx} -\usepackage{layout} -\def\union{\cup} -\def\intersect{\cap} -\def\getsrandom{\stackrel{\rm R}{\gets}} -\def\cross{\times} -\def\cat{\hspace{0.5em} \| \hspace{0.5em}} -\def\catn{$\|$} -\def\divides{\hspace{0.3em} | \hspace{0.3em}} -\def\nequiv{\not\equiv} -\def\approx{\raisebox{0.2ex}{\mbox{\small $\sim$}}} -\def\lcm{{\rm lcm}} -\def\gcd{{\rm gcd}} -\def\log{{\rm log}} -\def\ord{{\rm ord}} -\def\abs{{\mathit abs}} -\def\rep{{\mathit rep}} -\def\mod{{\mathit\ mod\ }} -\renewcommand{\pmod}[1]{\ ({\rm mod\ }{#1})} -\newcommand{\floor}[1]{\left\lfloor{#1}\right\rfloor} -\newcommand{\ceil}[1]{\left\lceil{#1}\right\rceil} -\def\Or{{\rm\ or\ }} -\def\And{{\rm\ and\ }} -\def\iff{\hspace{1em}\Longleftrightarrow\hspace{1em}} -\def\implies{\Rightarrow} -\def\undefined{{\rm ``undefined"}} -\def\Proof{\vspace{1ex}\noindent {\bf Proof:}\hspace{1em}} -\let\oldphi\phi -\def\phi{\varphi} -\def\Pr{{\rm Pr}} -\newcommand{\str}[1]{{\mathbf{#1}}} -\def\F{{\mathbb F}} -\def\N{{\mathbb N}} -\def\Z{{\mathbb Z}} -\def\R{{\mathbb R}} -\def\C{{\mathbb C}} -\def\Q{{\mathbb Q}} -\definecolor{DGray}{gray}{0.5} -\newcommand{\emailaddr}[1]{\mbox{$<${#1}$>$}} -\def\twiddle{\raisebox{0.3ex}{\mbox{\tiny $\sim$}}} -\def\gap{\vspace{0.5ex}} -\makeindex -\begin{document} -\frontmatter -\pagestyle{empty} -\title{Multi--Precision Math} -\author{\mbox{ -%\begin{small} -\begin{tabular}{c} -Tom St Denis \\ -Algonquin College \\ -\\ -Mads Rasmussen \\ -Open Communications Security \\ -\\ -Greg Rose \\ -QUALCOMM Australia \\ -\end{tabular} -%\end{small} -} -} -\maketitle -This text has been placed in the public domain. This text corresponds to the v0.39 release of the -LibTomMath project. - -\begin{alltt} -Tom St Denis -111 Banning Rd -Ottawa, Ontario -K2L 1C3 -Canada - -Phone: 1-613-836-3160 -Email: tomstdenis@gmail.com -\end{alltt} - -This text is formatted to the international B5 paper size of 176mm wide by 250mm tall using the \LaTeX{} -{\em book} macro package and the Perl {\em booker} package. - -\tableofcontents -\listoffigures -\chapter*{Prefaces} -When I tell people about my LibTom projects and that I release them as public domain they are often puzzled. -They ask why I did it and especially why I continue to work on them for free. The best I can explain it is ``Because I can.'' -Which seems odd and perhaps too terse for adult conversation. I often qualify it with ``I am able, I am willing.'' which -perhaps explains it better. I am the first to admit there is not anything that special with what I have done. Perhaps -others can see that too and then we would have a society to be proud of. My LibTom projects are what I am doing to give -back to society in the form of tools and knowledge that can help others in their endeavours. - -I started writing this book because it was the most logical task to further my goal of open academia. The LibTomMath source -code itself was written to be easy to follow and learn from. There are times, however, where pure C source code does not -explain the algorithms properly. Hence this book. The book literally starts with the foundation of the library and works -itself outwards to the more complicated algorithms. The use of both pseudo--code and verbatim source code provides a duality -of ``theory'' and ``practice'' that the computer science students of the world shall appreciate. I never deviate too far -from relatively straightforward algebra and I hope that this book can be a valuable learning asset. - -This book and indeed much of the LibTom projects would not exist in their current form if it was not for a plethora -of kind people donating their time, resources and kind words to help support my work. Writing a text of significant -length (along with the source code) is a tiresome and lengthy process. Currently the LibTom project is four years old, -comprises of literally thousands of users and over 100,000 lines of source code, TeX and other material. People like Mads and Greg -were there at the beginning to encourage me to work well. It is amazing how timely validation from others can boost morale to -continue the project. Definitely my parents were there for me by providing room and board during the many months of work in 2003. - -To my many friends whom I have met through the years I thank you for the good times and the words of encouragement. I hope I -honour your kind gestures with this project. - -Open Source. Open Academia. Open Minds. - -\begin{flushright} Tom St Denis \end{flushright} - -\newpage -I found the opportunity to work with Tom appealing for several reasons, not only could I broaden my own horizons, but also -contribute to educate others facing the problem of having to handle big number mathematical calculations. - -This book is Tom's child and he has been caring and fostering the project ever since the beginning with a clear mind of -how he wanted the project to turn out. I have helped by proofreading the text and we have had several discussions about -the layout and language used. - -I hold a masters degree in cryptography from the University of Southern Denmark and have always been interested in the -practical aspects of cryptography. - -Having worked in the security consultancy business for several years in S\~{a}o Paulo, Brazil, I have been in touch with a -great deal of work in which multiple precision mathematics was needed. Understanding the possibilities for speeding up -multiple precision calculations is often very important since we deal with outdated machine architecture where modular -reductions, for example, become painfully slow. - -This text is for people who stop and wonder when first examining algorithms such as RSA for the first time and asks -themselves, ``You tell me this is only secure for large numbers, fine; but how do you implement these numbers?'' - -\begin{flushright} -Mads Rasmussen - -S\~{a}o Paulo - SP - -Brazil -\end{flushright} - -\newpage -It's all because I broke my leg. That just happened to be at about the same time that Tom asked for someone to review the section of the book about -Karatsuba multiplication. I was laid up, alone and immobile, and thought ``Why not?'' I vaguely knew what Karatsuba multiplication was, but not -really, so I thought I could help, learn, and stop myself from watching daytime cable TV, all at once. - -At the time of writing this, I've still not met Tom or Mads in meatspace. I've been following Tom's progress since his first splash on the -sci.crypt Usenet news group. I watched him go from a clueless newbie, to the cryptographic equivalent of a reformed smoker, to a real -contributor to the field, over a period of about two years. I've been impressed with his obvious intelligence, and astounded by his productivity. -Of course, he's young enough to be my own child, so he doesn't have my problems with staying awake. - -When I reviewed that single section of the book, in its very earliest form, I was very pleasantly surprised. So I decided to collaborate more fully, -and at least review all of it, and perhaps write some bits too. There's still a long way to go with it, and I have watched a number of close -friends go through the mill of publication, so I think that the way to go is longer than Tom thinks it is. Nevertheless, it's a good effort, -and I'm pleased to be involved with it. - -\begin{flushright} -Greg Rose, Sydney, Australia, June 2003. -\end{flushright} - -\mainmatter -\pagestyle{headings} -\chapter{Introduction} -\section{Multiple Precision Arithmetic} - -\subsection{What is Multiple Precision Arithmetic?} -When we think of long-hand arithmetic such as addition or multiplication we rarely consider the fact that we instinctively -raise or lower the precision of the numbers we are dealing with. For example, in decimal we almost immediate can -reason that $7$ times $6$ is $42$. However, $42$ has two digits of precision as opposed to one digit we started with. -Further multiplications of say $3$ result in a larger precision result $126$. In these few examples we have multiple -precisions for the numbers we are working with. Despite the various levels of precision a single subset\footnote{With the occasional optimization.} - of algorithms can be designed to accomodate them. - -By way of comparison a fixed or single precision operation would lose precision on various operations. For example, in -the decimal system with fixed precision $6 \cdot 7 = 2$. - -Essentially at the heart of computer based multiple precision arithmetic are the same long-hand algorithms taught in -schools to manually add, subtract, multiply and divide. - -\subsection{The Need for Multiple Precision Arithmetic} -The most prevalent need for multiple precision arithmetic, often referred to as ``bignum'' math, is within the implementation -of public-key cryptography algorithms. Algorithms such as RSA \cite{RSAREF} and Diffie-Hellman \cite{DHREF} require -integers of significant magnitude to resist known cryptanalytic attacks. For example, at the time of this writing a -typical RSA modulus would be at least greater than $10^{309}$. However, modern programming languages such as ISO C \cite{ISOC} and -Java \cite{JAVA} only provide instrinsic support for integers which are relatively small and single precision. - -\begin{figure}[!here] -\begin{center} -\begin{tabular}{|r|c|} -\hline \textbf{Data Type} & \textbf{Range} \\ -\hline char & $-128 \ldots 127$ \\ -\hline short & $-32768 \ldots 32767$ \\ -\hline long & $-2147483648 \ldots 2147483647$ \\ -\hline long long & $-9223372036854775808 \ldots 9223372036854775807$ \\ -\hline -\end{tabular} -\end{center} -\caption{Typical Data Types for the C Programming Language} -\label{fig:ISOC} -\end{figure} - -The largest data type guaranteed to be provided by the ISO C programming -language\footnote{As per the ISO C standard. However, each compiler vendor is allowed to augment the precision as they -see fit.} can only represent values up to $10^{19}$ as shown in figure \ref{fig:ISOC}. On its own the C language is -insufficient to accomodate the magnitude required for the problem at hand. An RSA modulus of magnitude $10^{19}$ could be -trivially factored\footnote{A Pollard-Rho factoring would take only $2^{16}$ time.} on the average desktop computer, -rendering any protocol based on the algorithm insecure. Multiple precision algorithms solve this very problem by -extending the range of representable integers while using single precision data types. - -Most advancements in fast multiple precision arithmetic stem from the need for faster and more efficient cryptographic -primitives. Faster modular reduction and exponentiation algorithms such as Barrett's algorithm, which have appeared in -various cryptographic journals, can render algorithms such as RSA and Diffie-Hellman more efficient. In fact, several -major companies such as RSA Security, Certicom and Entrust have built entire product lines on the implementation and -deployment of efficient algorithms. - -However, cryptography is not the only field of study that can benefit from fast multiple precision integer routines. -Another auxiliary use of multiple precision integers is high precision floating point data types. -The basic IEEE \cite{IEEE} standard floating point type is made up of an integer mantissa $q$, an exponent $e$ and a sign bit $s$. -Numbers are given in the form $n = q \cdot b^e \cdot -1^s$ where $b = 2$ is the most common base for IEEE. Since IEEE -floating point is meant to be implemented in hardware the precision of the mantissa is often fairly small -(\textit{23, 48 and 64 bits}). The mantissa is merely an integer and a multiple precision integer could be used to create -a mantissa of much larger precision than hardware alone can efficiently support. This approach could be useful where -scientific applications must minimize the total output error over long calculations. - -Yet another use for large integers is within arithmetic on polynomials of large characteristic (i.e. $GF(p)[x]$ for large $p$). -In fact the library discussed within this text has already been used to form a polynomial basis library\footnote{See \url{http://poly.libtomcrypt.org} for more details.}. - -\subsection{Benefits of Multiple Precision Arithmetic} -\index{precision} -The benefit of multiple precision representations over single or fixed precision representations is that -no precision is lost while representing the result of an operation which requires excess precision. For example, -the product of two $n$-bit integers requires at least $2n$ bits of precision to be represented faithfully. A multiple -precision algorithm would augment the precision of the destination to accomodate the result while a single precision system -would truncate excess bits to maintain a fixed level of precision. - -It is possible to implement algorithms which require large integers with fixed precision algorithms. For example, elliptic -curve cryptography (\textit{ECC}) is often implemented on smartcards by fixing the precision of the integers to the maximum -size the system will ever need. Such an approach can lead to vastly simpler algorithms which can accomodate the -integers required even if the host platform cannot natively accomodate them\footnote{For example, the average smartcard -processor has an 8 bit accumulator.}. However, as efficient as such an approach may be, the resulting source code is not -normally very flexible. It cannot, at runtime, accomodate inputs of higher magnitude than the designer anticipated. - -Multiple precision algorithms have the most overhead of any style of arithmetic. For the the most part the -overhead can be kept to a minimum with careful planning, but overall, it is not well suited for most memory starved -platforms. However, multiple precision algorithms do offer the most flexibility in terms of the magnitude of the -inputs. That is, the same algorithms based on multiple precision integers can accomodate any reasonable size input -without the designer's explicit forethought. This leads to lower cost of ownership for the code as it only has to -be written and tested once. - -\section{Purpose of This Text} -The purpose of this text is to instruct the reader regarding how to implement efficient multiple precision algorithms. -That is to not only explain a limited subset of the core theory behind the algorithms but also the various ``house keeping'' -elements that are neglected by authors of other texts on the subject. Several well reknowned texts \cite{TAOCPV2,HAC} -give considerably detailed explanations of the theoretical aspects of algorithms and often very little information -regarding the practical implementation aspects. - -In most cases how an algorithm is explained and how it is actually implemented are two very different concepts. For -example, the Handbook of Applied Cryptography (\textit{HAC}), algorithm 14.7 on page 594, gives a relatively simple -algorithm for performing multiple precision integer addition. However, the description lacks any discussion concerning -the fact that the two integer inputs may be of differing magnitudes. As a result the implementation is not as simple -as the text would lead people to believe. Similarly the division routine (\textit{algorithm 14.20, pp. 598}) does not -discuss how to handle sign or handle the dividend's decreasing magnitude in the main loop (\textit{step \#3}). - -Both texts also do not discuss several key optimal algorithms required such as ``Comba'' and Karatsuba multipliers -and fast modular inversion, which we consider practical oversights. These optimal algorithms are vital to achieve -any form of useful performance in non-trivial applications. - -To solve this problem the focus of this text is on the practical aspects of implementing a multiple precision integer -package. As a case study the ``LibTomMath''\footnote{Available at \url{http://math.libtomcrypt.com}} package is used -to demonstrate algorithms with real implementations\footnote{In the ISO C programming language.} that have been field -tested and work very well. The LibTomMath library is freely available on the Internet for all uses and this text -discusses a very large portion of the inner workings of the library. - -The algorithms that are presented will always include at least one ``pseudo-code'' description followed -by the actual C source code that implements the algorithm. The pseudo-code can be used to implement the same -algorithm in other programming languages as the reader sees fit. - -This text shall also serve as a walkthrough of the creation of multiple precision algorithms from scratch. Showing -the reader how the algorithms fit together as well as where to start on various taskings. - -\section{Discussion and Notation} -\subsection{Notation} -A multiple precision integer of $n$-digits shall be denoted as $x = (x_{n-1}, \ldots, x_1, x_0)_{ \beta }$ and represent -the integer $x \equiv \sum_{i=0}^{n-1} x_i\beta^i$. The elements of the array $x$ are said to be the radix $\beta$ digits -of the integer. For example, $x = (1,2,3)_{10}$ would represent the integer -$1\cdot 10^2 + 2\cdot10^1 + 3\cdot10^0 = 123$. - -\index{mp\_int} -The term ``mp\_int'' shall refer to a composite structure which contains the digits of the integer it represents, as well -as auxilary data required to manipulate the data. These additional members are discussed further in section -\ref{sec:MPINT}. For the purposes of this text a ``multiple precision integer'' and an ``mp\_int'' are assumed to be -synonymous. When an algorithm is specified to accept an mp\_int variable it is assumed the various auxliary data members -are present as well. An expression of the type \textit{variablename.item} implies that it should evaluate to the -member named ``item'' of the variable. For example, a string of characters may have a member ``length'' which would -evaluate to the number of characters in the string. If the string $a$ equals ``hello'' then it follows that -$a.length = 5$. - -For certain discussions more generic algorithms are presented to help the reader understand the final algorithm used -to solve a given problem. When an algorithm is described as accepting an integer input it is assumed the input is -a plain integer with no additional multiple-precision members. That is, algorithms that use integers as opposed to -mp\_ints as inputs do not concern themselves with the housekeeping operations required such as memory management. These -algorithms will be used to establish the relevant theory which will subsequently be used to describe a multiple -precision algorithm to solve the same problem. - -\subsection{Precision Notation} -The variable $\beta$ represents the radix of a single digit of a multiple precision integer and -must be of the form $q^p$ for $q, p \in \Z^+$. A single precision variable must be able to represent integers in -the range $0 \le x < q \beta$ while a double precision variable must be able to represent integers in the range -$0 \le x < q \beta^2$. The extra radix-$q$ factor allows additions and subtractions to proceed without truncation of the -carry. Since all modern computers are binary, it is assumed that $q$ is two. - -\index{mp\_digit} \index{mp\_word} -Within the source code that will be presented for each algorithm, the data type \textbf{mp\_digit} will represent -a single precision integer type, while, the data type \textbf{mp\_word} will represent a double precision integer type. In -several algorithms (notably the Comba routines) temporary results will be stored in arrays of double precision mp\_words. -For the purposes of this text $x_j$ will refer to the $j$'th digit of a single precision array and $\hat x_j$ will refer to -the $j$'th digit of a double precision array. Whenever an expression is to be assigned to a double precision -variable it is assumed that all single precision variables are promoted to double precision during the evaluation. -Expressions that are assigned to a single precision variable are truncated to fit within the precision of a single -precision data type. - -For example, if $\beta = 10^2$ a single precision data type may represent a value in the -range $0 \le x < 10^3$, while a double precision data type may represent a value in the range $0 \le x < 10^5$. Let -$a = 23$ and $b = 49$ represent two single precision variables. The single precision product shall be written -as $c \leftarrow a \cdot b$ while the double precision product shall be written as $\hat c \leftarrow a \cdot b$. -In this particular case, $\hat c = 1127$ and $c = 127$. The most significant digit of the product would not fit -in a single precision data type and as a result $c \ne \hat c$. - -\subsection{Algorithm Inputs and Outputs} -Within the algorithm descriptions all variables are assumed to be scalars of either single or double precision -as indicated. The only exception to this rule is when variables have been indicated to be of type mp\_int. This -distinction is important as scalars are often used as array indicies and various other counters. - -\subsection{Mathematical Expressions} -The $\lfloor \mbox{ } \rfloor$ brackets imply an expression truncated to an integer not greater than the expression -itself. For example, $\lfloor 5.7 \rfloor = 5$. Similarly the $\lceil \mbox{ } \rceil$ brackets imply an expression -rounded to an integer not less than the expression itself. For example, $\lceil 5.1 \rceil = 6$. Typically when -the $/$ division symbol is used the intention is to perform an integer division with truncation. For example, -$5/2 = 2$ which will often be written as $\lfloor 5/2 \rfloor = 2$ for clarity. When an expression is written as a -fraction a real value division is implied, for example ${5 \over 2} = 2.5$. - -The norm of a multiple precision integer, for example $\vert \vert x \vert \vert$, will be used to represent the number of digits in the representation -of the integer. For example, $\vert \vert 123 \vert \vert = 3$ and $\vert \vert 79452 \vert \vert = 5$. - -\subsection{Work Effort} -\index{big-Oh} -To measure the efficiency of the specified algorithms, a modified big-Oh notation is used. In this system all -single precision operations are considered to have the same cost\footnote{Except where explicitly noted.}. -That is a single precision addition, multiplication and division are assumed to take the same time to -complete. While this is generally not true in practice, it will simplify the discussions considerably. - -Some algorithms have slight advantages over others which is why some constants will not be removed in -the notation. For example, a normal baseline multiplication (section \ref{sec:basemult}) requires $O(n^2)$ work while a -baseline squaring (section \ref{sec:basesquare}) requires $O({{n^2 + n}\over 2})$ work. In standard big-Oh notation these -would both be said to be equivalent to $O(n^2)$. However, -in the context of the this text this is not the case as the magnitude of the inputs will typically be rather small. As a -result small constant factors in the work effort will make an observable difference in algorithm efficiency. - -All of the algorithms presented in this text have a polynomial time work level. That is, of the form -$O(n^k)$ for $n, k \in \Z^{+}$. This will help make useful comparisons in terms of the speed of the algorithms and how -various optimizations will help pay off in the long run. - -\section{Exercises} -Within the more advanced chapters a section will be set aside to give the reader some challenging exercises related to -the discussion at hand. These exercises are not designed to be prize winning problems, but instead to be thought -provoking. Wherever possible the problems are forward minded, stating problems that will be answered in subsequent -chapters. The reader is encouraged to finish the exercises as they appear to get a better understanding of the -subject material. - -That being said, the problems are designed to affirm knowledge of a particular subject matter. Students in particular -are encouraged to verify they can answer the problems correctly before moving on. - -Similar to the exercises of \cite[pp. ix]{TAOCPV2} these exercises are given a scoring system based on the difficulty of -the problem. However, unlike \cite{TAOCPV2} the problems do not get nearly as hard. The scoring of these -exercises ranges from one (the easiest) to five (the hardest). The following table sumarizes the -scoring system used. - -\begin{figure}[here] -\begin{center} -\begin{small} -\begin{tabular}{|c|l|} -\hline $\left [ 1 \right ]$ & An easy problem that should only take the reader a manner of \\ - & minutes to solve. Usually does not involve much computer time \\ - & to solve. \\ -\hline $\left [ 2 \right ]$ & An easy problem that involves a marginal amount of computer \\ - & time usage. Usually requires a program to be written to \\ - & solve the problem. \\ -\hline $\left [ 3 \right ]$ & A moderately hard problem that requires a non-trivial amount \\ - & of work. Usually involves trivial research and development of \\ - & new theory from the perspective of a student. \\ -\hline $\left [ 4 \right ]$ & A moderately hard problem that involves a non-trivial amount \\ - & of work and research, the solution to which will demonstrate \\ - & a higher mastery of the subject matter. \\ -\hline $\left [ 5 \right ]$ & A hard problem that involves concepts that are difficult for a \\ - & novice to solve. Solutions to these problems will demonstrate a \\ - & complete mastery of the given subject. \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Exercise Scoring System} -\end{figure} - -Problems at the first level are meant to be simple questions that the reader can answer quickly without programming a solution or -devising new theory. These problems are quick tests to see if the material is understood. Problems at the second level -are also designed to be easy but will require a program or algorithm to be implemented to arrive at the answer. These -two levels are essentially entry level questions. - -Problems at the third level are meant to be a bit more difficult than the first two levels. The answer is often -fairly obvious but arriving at an exacting solution requires some thought and skill. These problems will almost always -involve devising a new algorithm or implementing a variation of another algorithm previously presented. Readers who can -answer these questions will feel comfortable with the concepts behind the topic at hand. - -Problems at the fourth level are meant to be similar to those of the level three questions except they will require -additional research to be completed. The reader will most likely not know the answer right away, nor will the text provide -the exact details of the answer until a subsequent chapter. - -Problems at the fifth level are meant to be the hardest -problems relative to all the other problems in the chapter. People who can correctly answer fifth level problems have a -mastery of the subject matter at hand. - -Often problems will be tied together. The purpose of this is to start a chain of thought that will be discussed in future chapters. The reader -is encouraged to answer the follow-up problems and try to draw the relevance of problems. - -\section{Introduction to LibTomMath} - -\subsection{What is LibTomMath?} -LibTomMath is a free and open source multiple precision integer library written entirely in portable ISO C. By portable it -is meant that the library does not contain any code that is computer platform dependent or otherwise problematic to use on -any given platform. - -The library has been successfully tested under numerous operating systems including Unix\footnote{All of these -trademarks belong to their respective rightful owners.}, MacOS, Windows, Linux, PalmOS and on standalone hardware such -as the Gameboy Advance. The library is designed to contain enough functionality to be able to develop applications such -as public key cryptosystems and still maintain a relatively small footprint. - -\subsection{Goals of LibTomMath} - -Libraries which obtain the most efficiency are rarely written in a high level programming language such as C. However, -even though this library is written entirely in ISO C, considerable care has been taken to optimize the algorithm implementations within the -library. Specifically the code has been written to work well with the GNU C Compiler (\textit{GCC}) on both x86 and ARM -processors. Wherever possible, highly efficient algorithms, such as Karatsuba multiplication, sliding window -exponentiation and Montgomery reduction have been provided to make the library more efficient. - -Even with the nearly optimal and specialized algorithms that have been included the Application Programing Interface -(\textit{API}) has been kept as simple as possible. Often generic place holder routines will make use of specialized -algorithms automatically without the developer's specific attention. One such example is the generic multiplication -algorithm \textbf{mp\_mul()} which will automatically use Toom--Cook, Karatsuba, Comba or baseline multiplication -based on the magnitude of the inputs and the configuration of the library. - -Making LibTomMath as efficient as possible is not the only goal of the LibTomMath project. Ideally the library should -be source compatible with another popular library which makes it more attractive for developers to use. In this case the -MPI library was used as a API template for all the basic functions. MPI was chosen because it is another library that fits -in the same niche as LibTomMath. Even though LibTomMath uses MPI as the template for the function names and argument -passing conventions, it has been written from scratch by Tom St Denis. - -The project is also meant to act as a learning tool for students, the logic being that no easy-to-follow ``bignum'' -library exists which can be used to teach computer science students how to perform fast and reliable multiple precision -integer arithmetic. To this end the source code has been given quite a few comments and algorithm discussion points. - -\section{Choice of LibTomMath} -LibTomMath was chosen as the case study of this text not only because the author of both projects is one and the same but -for more worthy reasons. Other libraries such as GMP \cite{GMP}, MPI \cite{MPI}, LIP \cite{LIP} and OpenSSL -\cite{OPENSSL} have multiple precision integer arithmetic routines but would not be ideal for this text for -reasons that will be explained in the following sub-sections. - -\subsection{Code Base} -The LibTomMath code base is all portable ISO C source code. This means that there are no platform dependent conditional -segments of code littered throughout the source. This clean and uncluttered approach to the library means that a -developer can more readily discern the true intent of a given section of source code without trying to keep track of -what conditional code will be used. - -The code base of LibTomMath is well organized. Each function is in its own separate source code file -which allows the reader to find a given function very quickly. On average there are $76$ lines of code per source -file which makes the source very easily to follow. By comparison MPI and LIP are single file projects making code tracing -very hard. GMP has many conditional code segments which also hinder tracing. - -When compiled with GCC for the x86 processor and optimized for speed the entire library is approximately $100$KiB\footnote{The notation ``KiB'' means $2^{10}$ octets, similarly ``MiB'' means $2^{20}$ octets.} - which is fairly small compared to GMP (over $250$KiB). LibTomMath is slightly larger than MPI (which compiles to about -$50$KiB) but LibTomMath is also much faster and more complete than MPI. - -\subsection{API Simplicity} -LibTomMath is designed after the MPI library and shares the API design. Quite often programs that use MPI will build -with LibTomMath without change. The function names correlate directly to the action they perform. Almost all of the -functions share the same parameter passing convention. The learning curve is fairly shallow with the API provided -which is an extremely valuable benefit for the student and developer alike. - -The LIP library is an example of a library with an API that is awkward to work with. LIP uses function names that are often ``compressed'' to -illegible short hand. LibTomMath does not share this characteristic. - -The GMP library also does not return error codes. Instead it uses a POSIX.1 \cite{POSIX1} signal system where errors -are signaled to the host application. This happens to be the fastest approach but definitely not the most versatile. In -effect a math error (i.e. invalid input, heap error, etc) can cause a program to stop functioning which is definitely -undersireable in many situations. - -\subsection{Optimizations} -While LibTomMath is certainly not the fastest library (GMP often beats LibTomMath by a factor of two) it does -feature a set of optimal algorithms for tasks such as modular reduction, exponentiation, multiplication and squaring. GMP -and LIP also feature such optimizations while MPI only uses baseline algorithms with no optimizations. GMP lacks a few -of the additional modular reduction optimizations that LibTomMath features\footnote{At the time of this writing GMP -only had Barrett and Montgomery modular reduction algorithms.}. - -LibTomMath is almost always an order of magnitude faster than the MPI library at computationally expensive tasks such as modular -exponentiation. In the grand scheme of ``bignum'' libraries LibTomMath is faster than the average library and usually -slower than the best libraries such as GMP and OpenSSL by only a small factor. - -\subsection{Portability and Stability} -LibTomMath will build ``out of the box'' on any platform equipped with a modern version of the GNU C Compiler -(\textit{GCC}). This means that without changes the library will build without configuration or setting up any -variables. LIP and MPI will build ``out of the box'' as well but have numerous known bugs. Most notably the author of -MPI has recently stopped working on his library and LIP has long since been discontinued. - -GMP requires a configuration script to run and will not build out of the box. GMP and LibTomMath are still in active -development and are very stable across a variety of platforms. - -\subsection{Choice} -LibTomMath is a relatively compact, well documented, highly optimized and portable library which seems only natural for -the case study of this text. Various source files from the LibTomMath project will be included within the text. However, -the reader is encouraged to download their own copy of the library to actually be able to work with the library. - -\chapter{Getting Started} -\section{Library Basics} -The trick to writing any useful library of source code is to build a solid foundation and work outwards from it. First, -a problem along with allowable solution parameters should be identified and analyzed. In this particular case the -inability to accomodate multiple precision integers is the problem. Futhermore, the solution must be written -as portable source code that is reasonably efficient across several different computer platforms. - -After a foundation is formed the remainder of the library can be designed and implemented in a hierarchical fashion. -That is, to implement the lowest level dependencies first and work towards the most abstract functions last. For example, -before implementing a modular exponentiation algorithm one would implement a modular reduction algorithm. -By building outwards from a base foundation instead of using a parallel design methodology the resulting project is -highly modular. Being highly modular is a desirable property of any project as it often means the resulting product -has a small footprint and updates are easy to perform. - -Usually when I start a project I will begin with the header files. I define the data types I think I will need and -prototype the initial functions that are not dependent on other functions (within the library). After I -implement these base functions I prototype more dependent functions and implement them. The process repeats until -I implement all of the functions I require. For example, in the case of LibTomMath I implemented functions such as -mp\_init() well before I implemented mp\_mul() and even further before I implemented mp\_exptmod(). As an example as to -why this design works note that the Karatsuba and Toom-Cook multipliers were written \textit{after} the -dependent function mp\_exptmod() was written. Adding the new multiplication algorithms did not require changes to the -mp\_exptmod() function itself and lowered the total cost of ownership (\textit{so to speak}) and of development -for new algorithms. This methodology allows new algorithms to be tested in a complete framework with relative ease. - -\begin{center} -\begin{figure}[here] -\includegraphics{pics/design_process.ps} -\caption{Design Flow of the First Few Original LibTomMath Functions.} -\label{pic:design_process} -\end{figure} -\end{center} - -Only after the majority of the functions were in place did I pursue a less hierarchical approach to auditing and optimizing -the source code. For example, one day I may audit the multipliers and the next day the polynomial basis functions. - -It only makes sense to begin the text with the preliminary data types and support algorithms required as well. -This chapter discusses the core algorithms of the library which are the dependents for every other algorithm. - -\section{What is a Multiple Precision Integer?} -Recall that most programming languages, in particular ISO C \cite{ISOC}, only have fixed precision data types that on their own cannot -be used to represent values larger than their precision will allow. The purpose of multiple precision algorithms is -to use fixed precision data types to create and manipulate multiple precision integers which may represent values -that are very large. - -As a well known analogy, school children are taught how to form numbers larger than nine by prepending more radix ten digits. In the decimal system -the largest single digit value is $9$. However, by concatenating digits together larger numbers may be represented. Newly prepended digits -(\textit{to the left}) are said to be in a different power of ten column. That is, the number $123$ can be described as having a $1$ in the hundreds -column, $2$ in the tens column and $3$ in the ones column. Or more formally $123 = 1 \cdot 10^2 + 2 \cdot 10^1 + 3 \cdot 10^0$. Computer based -multiple precision arithmetic is essentially the same concept. Larger integers are represented by adjoining fixed -precision computer words with the exception that a different radix is used. - -What most people probably do not think about explicitly are the various other attributes that describe a multiple precision -integer. For example, the integer $154_{10}$ has two immediately obvious properties. First, the integer is positive, -that is the sign of this particular integer is positive as opposed to negative. Second, the integer has three digits in -its representation. There is an additional property that the integer posesses that does not concern pencil-and-paper -arithmetic. The third property is how many digits placeholders are available to hold the integer. - -The human analogy of this third property is ensuring there is enough space on the paper to write the integer. For example, -if one starts writing a large number too far to the right on a piece of paper they will have to erase it and move left. -Similarly, computer algorithms must maintain strict control over memory usage to ensure that the digits of an integer -will not exceed the allowed boundaries. These three properties make up what is known as a multiple precision -integer or mp\_int for short. - -\subsection{The mp\_int Structure} -\label{sec:MPINT} -The mp\_int structure is the ISO C based manifestation of what represents a multiple precision integer. The ISO C standard does not provide for -any such data type but it does provide for making composite data types known as structures. The following is the structure definition -used within LibTomMath. - -\index{mp\_int} -\begin{figure}[here] -\begin{center} -\begin{small} -%\begin{verbatim} -\begin{tabular}{|l|} -\hline -typedef struct \{ \\ -\hspace{3mm}int used, alloc, sign;\\ -\hspace{3mm}mp\_digit *dp;\\ -\} \textbf{mp\_int}; \\ -\hline -\end{tabular} -%\end{verbatim} -\end{small} -\caption{The mp\_int Structure} -\label{fig:mpint} -\end{center} -\end{figure} - -The mp\_int structure (fig. \ref{fig:mpint}) can be broken down as follows. - -\begin{enumerate} -\item The \textbf{used} parameter denotes how many digits of the array \textbf{dp} contain the digits used to represent -a given integer. The \textbf{used} count must be positive (or zero) and may not exceed the \textbf{alloc} count. - -\item The \textbf{alloc} parameter denotes how -many digits are available in the array to use by functions before it has to increase in size. When the \textbf{used} count -of a result would exceed the \textbf{alloc} count all of the algorithms will automatically increase the size of the -array to accommodate the precision of the result. - -\item The pointer \textbf{dp} points to a dynamically allocated array of digits that represent the given multiple -precision integer. It is padded with $(\textbf{alloc} - \textbf{used})$ zero digits. The array is maintained in a least -significant digit order. As a pencil and paper analogy the array is organized such that the right most digits are stored -first starting at the location indexed by zero\footnote{In C all arrays begin at zero.} in the array. For example, -if \textbf{dp} contains $\lbrace a, b, c, \ldots \rbrace$ where \textbf{dp}$_0 = a$, \textbf{dp}$_1 = b$, \textbf{dp}$_2 = c$, $\ldots$ then -it would represent the integer $a + b\beta + c\beta^2 + \ldots$ - -\index{MP\_ZPOS} \index{MP\_NEG} -\item The \textbf{sign} parameter denotes the sign as either zero/positive (\textbf{MP\_ZPOS}) or negative (\textbf{MP\_NEG}). -\end{enumerate} - -\subsubsection{Valid mp\_int Structures} -Several rules are placed on the state of an mp\_int structure and are assumed to be followed for reasons of efficiency. -The only exceptions are when the structure is passed to initialization functions such as mp\_init() and mp\_init\_copy(). - -\begin{enumerate} -\item The value of \textbf{alloc} may not be less than one. That is \textbf{dp} always points to a previously allocated -array of digits. -\item The value of \textbf{used} may not exceed \textbf{alloc} and must be greater than or equal to zero. -\item The value of \textbf{used} implies the digit at index $(used - 1)$ of the \textbf{dp} array is non-zero. That is, -leading zero digits in the most significant positions must be trimmed. - \begin{enumerate} - \item Digits in the \textbf{dp} array at and above the \textbf{used} location must be zero. - \end{enumerate} -\item The value of \textbf{sign} must be \textbf{MP\_ZPOS} if \textbf{used} is zero; -this represents the mp\_int value of zero. -\end{enumerate} - -\section{Argument Passing} -A convention of argument passing must be adopted early on in the development of any library. Making the function -prototypes consistent will help eliminate many headaches in the future as the library grows to significant complexity. -In LibTomMath the multiple precision integer functions accept parameters from left to right as pointers to mp\_int -structures. That means that the source (input) operands are placed on the left and the destination (output) on the right. -Consider the following examples. - -\begin{verbatim} - mp_mul(&a, &b, &c); /* c = a * b */ - mp_add(&a, &b, &a); /* a = a + b */ - mp_sqr(&a, &b); /* b = a * a */ -\end{verbatim} - -The left to right order is a fairly natural way to implement the functions since it lets the developer read aloud the -functions and make sense of them. For example, the first function would read ``multiply a and b and store in c''. - -Certain libraries (\textit{LIP by Lenstra for instance}) accept parameters the other way around, to mimic the order -of assignment expressions. That is, the destination (output) is on the left and arguments (inputs) are on the right. In -truth, it is entirely a matter of preference. In the case of LibTomMath the convention from the MPI library has been -adopted. - -Another very useful design consideration, provided for in LibTomMath, is whether to allow argument sources to also be a -destination. For example, the second example (\textit{mp\_add}) adds $a$ to $b$ and stores in $a$. This is an important -feature to implement since it allows the calling functions to cut down on the number of variables it must maintain. -However, to implement this feature specific care has to be given to ensure the destination is not modified before the -source is fully read. - -\section{Return Values} -A well implemented application, no matter what its purpose, should trap as many runtime errors as possible and return them -to the caller. By catching runtime errors a library can be guaranteed to prevent undefined behaviour. However, the end -developer can still manage to cause a library to crash. For example, by passing an invalid pointer an application may -fault by dereferencing memory not owned by the application. - -In the case of LibTomMath the only errors that are checked for are related to inappropriate inputs (division by zero for -instance) and memory allocation errors. It will not check that the mp\_int passed to any function is valid nor -will it check pointers for validity. Any function that can cause a runtime error will return an error code as an -\textbf{int} data type with one of the following values (fig \ref{fig:errcodes}). - -\index{MP\_OKAY} \index{MP\_VAL} \index{MP\_MEM} -\begin{figure}[here] -\begin{center} -\begin{tabular}{|l|l|} -\hline \textbf{Value} & \textbf{Meaning} \\ -\hline \textbf{MP\_OKAY} & The function was successful \\ -\hline \textbf{MP\_VAL} & One of the input value(s) was invalid \\ -\hline \textbf{MP\_MEM} & The function ran out of heap memory \\ -\hline -\end{tabular} -\end{center} -\caption{LibTomMath Error Codes} -\label{fig:errcodes} -\end{figure} - -When an error is detected within a function it should free any memory it allocated, often during the initialization of -temporary mp\_ints, and return as soon as possible. The goal is to leave the system in the same state it was when the -function was called. Error checking with this style of API is fairly simple. - -\begin{verbatim} - int err; - if ((err = mp_add(&a, &b, &c)) != MP_OKAY) { - printf("Error: %s\n", mp_error_to_string(err)); - exit(EXIT_FAILURE); - } -\end{verbatim} - -The GMP \cite{GMP} library uses C style \textit{signals} to flag errors which is of questionable use. Not all errors are fatal -and it was not deemed ideal by the author of LibTomMath to force developers to have signal handlers for such cases. - -\section{Initialization and Clearing} -The logical starting point when actually writing multiple precision integer functions is the initialization and -clearing of the mp\_int structures. These two algorithms will be used by the majority of the higher level algorithms. - -Given the basic mp\_int structure an initialization routine must first allocate memory to hold the digits of -the integer. Often it is optimal to allocate a sufficiently large pre-set number of digits even though -the initial integer will represent zero. If only a single digit were allocated quite a few subsequent re-allocations -would occur when operations are performed on the integers. There is a tradeoff between how many default digits to allocate -and how many re-allocations are tolerable. Obviously allocating an excessive amount of digits initially will waste -memory and become unmanageable. - -If the memory for the digits has been successfully allocated then the rest of the members of the structure must -be initialized. Since the initial state of an mp\_int is to represent the zero integer, the allocated digits must be set -to zero. The \textbf{used} count set to zero and \textbf{sign} set to \textbf{MP\_ZPOS}. - -\subsection{Initializing an mp\_int} -An mp\_int is said to be initialized if it is set to a valid, preferably default, state such that all of the members of the -structure are set to valid values. The mp\_init algorithm will perform such an action. - -\index{mp\_init} -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_init}. \\ -\textbf{Input}. An mp\_int $a$ \\ -\textbf{Output}. Allocate memory and initialize $a$ to a known valid mp\_int state. \\ -\hline \\ -1. Allocate memory for \textbf{MP\_PREC} digits. \\ -2. If the allocation failed return(\textit{MP\_MEM}) \\ -3. for $n$ from $0$ to $MP\_PREC - 1$ do \\ -\hspace{3mm}3.1 $a_n \leftarrow 0$\\ -4. $a.sign \leftarrow MP\_ZPOS$\\ -5. $a.used \leftarrow 0$\\ -6. $a.alloc \leftarrow MP\_PREC$\\ -7. Return(\textit{MP\_OKAY})\\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_init} -\end{figure} - -\textbf{Algorithm mp\_init.} -The purpose of this function is to initialize an mp\_int structure so that the rest of the library can properly -manipulte it. It is assumed that the input may not have had any of its members previously initialized which is certainly -a valid assumption if the input resides on the stack. - -Before any of the members such as \textbf{sign}, \textbf{used} or \textbf{alloc} are initialized the memory for -the digits is allocated. If this fails the function returns before setting any of the other members. The \textbf{MP\_PREC} -name represents a constant\footnote{Defined in the ``tommath.h'' header file within LibTomMath.} -used to dictate the minimum precision of newly initialized mp\_int integers. Ideally, it is at least equal to the smallest -precision number you'll be working with. - -Allocating a block of digits at first instead of a single digit has the benefit of lowering the number of usually slow -heap operations later functions will have to perform in the future. If \textbf{MP\_PREC} is set correctly the slack -memory and the number of heap operations will be trivial. - -Once the allocation has been made the digits have to be set to zero as well as the \textbf{used}, \textbf{sign} and -\textbf{alloc} members initialized. This ensures that the mp\_int will always represent the default state of zero regardless -of the original condition of the input. - -\textbf{Remark.} -This function introduces the idiosyncrasy that all iterative loops, commonly initiated with the ``for'' keyword, iterate incrementally -when the ``to'' keyword is placed between two expressions. For example, ``for $a$ from $b$ to $c$ do'' means that -a subsequent expression (or body of expressions) are to be evaluated upto $c - b$ times so long as $b \le c$. In each -iteration the variable $a$ is substituted for a new integer that lies inclusively between $b$ and $c$. If $b > c$ occured -the loop would not iterate. By contrast if the ``downto'' keyword were used in place of ``to'' the loop would iterate -decrementally. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_init.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -One immediate observation of this initializtion function is that it does not return a pointer to a mp\_int structure. It -is assumed that the caller has already allocated memory for the mp\_int structure, typically on the application stack. The -call to mp\_init() is used only to initialize the members of the structure to a known default state. - -Here we see (line 24) the memory allocation is performed first. This allows us to exit cleanly and quickly -if there is an error. If the allocation fails the routine will return \textbf{MP\_MEM} to the caller to indicate there -was a memory error. The function XMALLOC is what actually allocates the memory. Technically XMALLOC is not a function -but a macro defined in ``tommath.h``. By default, XMALLOC will evaluate to malloc() which is the C library's built--in -memory allocation routine. - -In order to assure the mp\_int is in a known state the digits must be set to zero. On most platforms this could have been -accomplished by using calloc() instead of malloc(). However, to correctly initialize a integer type to a given value in a -portable fashion you have to actually assign the value. The for loop (line 30) performs this required -operation. - -After the memory has been successfully initialized the remainder of the members are initialized -(lines 34 through 35) to their respective default states. At this point the algorithm has succeeded and -a success code is returned to the calling function. If this function returns \textbf{MP\_OKAY} it is safe to assume the -mp\_int structure has been properly initialized and is safe to use with other functions within the library. - -\subsection{Clearing an mp\_int} -When an mp\_int is no longer required by the application, the memory that has been allocated for its digits must be -returned to the application's memory pool with the mp\_clear algorithm. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_clear}. \\ -\textbf{Input}. An mp\_int $a$ \\ -\textbf{Output}. The memory for $a$ shall be deallocated. \\ -\hline \\ -1. If $a$ has been previously freed then return(\textit{MP\_OKAY}). \\ -2. for $n$ from 0 to $a.used - 1$ do \\ -\hspace{3mm}2.1 $a_n \leftarrow 0$ \\ -3. Free the memory allocated for the digits of $a$. \\ -4. $a.used \leftarrow 0$ \\ -5. $a.alloc \leftarrow 0$ \\ -6. $a.sign \leftarrow MP\_ZPOS$ \\ -7. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_clear} -\end{figure} - -\textbf{Algorithm mp\_clear.} -This algorithm accomplishes two goals. First, it clears the digits and the other mp\_int members. This ensures that -if a developer accidentally re-uses a cleared structure it is less likely to cause problems. The second goal -is to free the allocated memory. - -The logic behind the algorithm is extended by marking cleared mp\_int structures so that subsequent calls to this -algorithm will not try to free the memory multiple times. Cleared mp\_ints are detectable by having a pre-defined invalid -digit pointer \textbf{dp} setting. - -Once an mp\_int has been cleared the mp\_int structure is no longer in a valid state for any other algorithm -with the exception of algorithms mp\_init, mp\_init\_copy, mp\_init\_size and mp\_clear. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_clear.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The algorithm only operates on the mp\_int if it hasn't been previously cleared. The if statement (line 25) -checks to see if the \textbf{dp} member is not \textbf{NULL}. If the mp\_int is a valid mp\_int then \textbf{dp} cannot be -\textbf{NULL} in which case the if statement will evaluate to true. - -The digits of the mp\_int are cleared by the for loop (line 27) which assigns a zero to every digit. Similar to mp\_init() -the digits are assigned zero instead of using block memory operations (such as memset()) since this is more portable. - -The digits are deallocated off the heap via the XFREE macro. Similar to XMALLOC the XFREE macro actually evaluates to -a standard C library function. In this case the free() function. Since free() only deallocates the memory the pointer -still has to be reset to \textbf{NULL} manually (line 35). - -Now that the digits have been cleared and deallocated the other members are set to their final values (lines 36 and 37). - -\section{Maintenance Algorithms} - -The previous sections describes how to initialize and clear an mp\_int structure. To further support operations -that are to be performed on mp\_int structures (such as addition and multiplication) the dependent algorithms must be -able to augment the precision of an mp\_int and -initialize mp\_ints with differing initial conditions. - -These algorithms complete the set of low level algorithms required to work with mp\_int structures in the higher level -algorithms such as addition, multiplication and modular exponentiation. - -\subsection{Augmenting an mp\_int's Precision} -When storing a value in an mp\_int structure, a sufficient number of digits must be available to accomodate the entire -result of an operation without loss of precision. Quite often the size of the array given by the \textbf{alloc} member -is large enough to simply increase the \textbf{used} digit count. However, when the size of the array is too small it -must be re-sized appropriately to accomodate the result. The mp\_grow algorithm will provide this functionality. - -\newpage\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_grow}. \\ -\textbf{Input}. An mp\_int $a$ and an integer $b$. \\ -\textbf{Output}. $a$ is expanded to accomodate $b$ digits. \\ -\hline \\ -1. if $a.alloc \ge b$ then return(\textit{MP\_OKAY}) \\ -2. $u \leftarrow b\mbox{ (mod }MP\_PREC\mbox{)}$ \\ -3. $v \leftarrow b + 2 \cdot MP\_PREC - u$ \\ -4. Re-allocate the array of digits $a$ to size $v$ \\ -5. If the allocation failed then return(\textit{MP\_MEM}). \\ -6. for n from a.alloc to $v - 1$ do \\ -\hspace{+3mm}6.1 $a_n \leftarrow 0$ \\ -7. $a.alloc \leftarrow v$ \\ -8. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_grow} -\end{figure} - -\textbf{Algorithm mp\_grow.} -It is ideal to prevent re-allocations from being performed if they are not required (step one). This is useful to -prevent mp\_ints from growing excessively in code that erroneously calls mp\_grow. - -The requested digit count is padded up to next multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} (steps two and three). -This helps prevent many trivial reallocations that would grow an mp\_int by trivially small values. - -It is assumed that the reallocation (step four) leaves the lower $a.alloc$ digits of the mp\_int intact. This is much -akin to how the \textit{realloc} function from the standard C library works. Since the newly allocated digits are -assumed to contain undefined values they are initially set to zero. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_grow.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -A quick optimization is to first determine if a memory re-allocation is required at all. The if statement (line 24) checks -if the \textbf{alloc} member of the mp\_int is smaller than the requested digit count. If the count is not larger than \textbf{alloc} -the function skips the re-allocation part thus saving time. - -When a re-allocation is performed it is turned into an optimal request to save time in the future. The requested digit count is -padded upwards to 2nd multiple of \textbf{MP\_PREC} larger than \textbf{alloc} (line 25). The XREALLOC function is used -to re-allocate the memory. As per the other functions XREALLOC is actually a macro which evaluates to realloc by default. The realloc -function leaves the base of the allocation intact which means the first \textbf{alloc} digits of the mp\_int are the same as before -the re-allocation. All that is left is to clear the newly allocated digits and return. - -Note that the re-allocation result is actually stored in a temporary pointer $tmp$. This is to allow this function to return -an error with a valid pointer. Earlier releases of the library stored the result of XREALLOC into the mp\_int $a$. That would -result in a memory leak if XREALLOC ever failed. - -\subsection{Initializing Variable Precision mp\_ints} -Occasionally the number of digits required will be known in advance of an initialization, based on, for example, the size -of input mp\_ints to a given algorithm. The purpose of algorithm mp\_init\_size is similar to mp\_init except that it -will allocate \textit{at least} a specified number of digits. - -\begin{figure}[here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_init\_size}. \\ -\textbf{Input}. An mp\_int $a$ and the requested number of digits $b$. \\ -\textbf{Output}. $a$ is initialized to hold at least $b$ digits. \\ -\hline \\ -1. $u \leftarrow b \mbox{ (mod }MP\_PREC\mbox{)}$ \\ -2. $v \leftarrow b + 2 \cdot MP\_PREC - u$ \\ -3. Allocate $v$ digits. \\ -4. for $n$ from $0$ to $v - 1$ do \\ -\hspace{3mm}4.1 $a_n \leftarrow 0$ \\ -5. $a.sign \leftarrow MP\_ZPOS$\\ -6. $a.used \leftarrow 0$\\ -7. $a.alloc \leftarrow v$\\ -8. Return(\textit{MP\_OKAY})\\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_init\_size} -\end{figure} - -\textbf{Algorithm mp\_init\_size.} -This algorithm will initialize an mp\_int structure $a$ like algorithm mp\_init with the exception that the number of -digits allocated can be controlled by the second input argument $b$. The input size is padded upwards so it is a -multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} digits. This padding is used to prevent trivial -allocations from becoming a bottleneck in the rest of the algorithms. - -Like algorithm mp\_init, the mp\_int structure is initialized to a default state representing the integer zero. This -particular algorithm is useful if it is known ahead of time the approximate size of the input. If the approximation is -correct no further memory re-allocations are required to work with the mp\_int. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_init\_size.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The number of digits $b$ requested is padded (line 24) by first augmenting it to the next multiple of -\textbf{MP\_PREC} and then adding \textbf{MP\_PREC} to the result. If the memory can be successfully allocated the -mp\_int is placed in a default state representing the integer zero. Otherwise, the error code \textbf{MP\_MEM} will be -returned (line 29). - -The digits are allocated and set to zero at the same time with the calloc() function (line @25,XCALLOC@). The -\textbf{used} count is set to zero, the \textbf{alloc} count set to the padded digit count and the \textbf{sign} flag set -to \textbf{MP\_ZPOS} to achieve a default valid mp\_int state (lines 33, 34 and 35). If the function -returns succesfully then it is correct to assume that the mp\_int structure is in a valid state for the remainder of the -functions to work with. - -\subsection{Multiple Integer Initializations and Clearings} -Occasionally a function will require a series of mp\_int data types to be made available simultaneously. -The purpose of algorithm mp\_init\_multi is to initialize a variable length array of mp\_int structures in a single -statement. It is essentially a shortcut to multiple initializations. - -\newpage\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_init\_multi}. \\ -\textbf{Input}. Variable length array $V_k$ of mp\_int variables of length $k$. \\ -\textbf{Output}. The array is initialized such that each mp\_int of $V_k$ is ready to use. \\ -\hline \\ -1. for $n$ from 0 to $k - 1$ do \\ -\hspace{+3mm}1.1. Initialize the mp\_int $V_n$ (\textit{mp\_init}) \\ -\hspace{+3mm}1.2. If initialization failed then do \\ -\hspace{+6mm}1.2.1. for $j$ from $0$ to $n$ do \\ -\hspace{+9mm}1.2.1.1. Free the mp\_int $V_j$ (\textit{mp\_clear}) \\ -\hspace{+6mm}1.2.2. Return(\textit{MP\_MEM}) \\ -2. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_init\_multi} -\end{figure} - -\textbf{Algorithm mp\_init\_multi.} -The algorithm will initialize the array of mp\_int variables one at a time. If a runtime error has been detected -(\textit{step 1.2}) all of the previously initialized variables are cleared. The goal is an ``all or nothing'' -initialization which allows for quick recovery from runtime errors. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_init\_multi.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This function intializes a variable length list of mp\_int structure pointers. However, instead of having the mp\_int -structures in an actual C array they are simply passed as arguments to the function. This function makes use of the -``...'' argument syntax of the C programming language. The list is terminated with a final \textbf{NULL} argument -appended on the right. - -The function uses the ``stdarg.h'' \textit{va} functions to step portably through the arguments to the function. A count -$n$ of succesfully initialized mp\_int structures is maintained (line 48) such that if a failure does occur, -the algorithm can backtrack and free the previously initialized structures (lines 28 to 47). - - -\subsection{Clamping Excess Digits} -When a function anticipates a result will be $n$ digits it is simpler to assume this is true within the body of -the function instead of checking during the computation. For example, a multiplication of a $i$ digit number by a -$j$ digit produces a result of at most $i + j$ digits. It is entirely possible that the result is $i + j - 1$ -though, with no final carry into the last position. However, suppose the destination had to be first expanded -(\textit{via mp\_grow}) to accomodate $i + j - 1$ digits than further expanded to accomodate the final carry. -That would be a considerable waste of time since heap operations are relatively slow. - -The ideal solution is to always assume the result is $i + j$ and fix up the \textbf{used} count after the function -terminates. This way a single heap operation (\textit{at most}) is required. However, if the result was not checked -there would be an excess high order zero digit. - -For example, suppose the product of two integers was $x_n = (0x_{n-1}x_{n-2}...x_0)_{\beta}$. The leading zero digit -will not contribute to the precision of the result. In fact, through subsequent operations more leading zero digits would -accumulate to the point the size of the integer would be prohibitive. As a result even though the precision is very -low the representation is excessively large. - -The mp\_clamp algorithm is designed to solve this very problem. It will trim high-order zeros by decrementing the -\textbf{used} count until a non-zero most significant digit is found. Also in this system, zero is considered to be a -positive number which means that if the \textbf{used} count is decremented to zero, the sign must be set to -\textbf{MP\_ZPOS}. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_clamp}. \\ -\textbf{Input}. An mp\_int $a$ \\ -\textbf{Output}. Any excess leading zero digits of $a$ are removed \\ -\hline \\ -1. while $a.used > 0$ and $a_{a.used - 1} = 0$ do \\ -\hspace{+3mm}1.1 $a.used \leftarrow a.used - 1$ \\ -2. if $a.used = 0$ then do \\ -\hspace{+3mm}2.1 $a.sign \leftarrow MP\_ZPOS$ \\ -\hline \\ -\end{tabular} -\end{center} -\caption{Algorithm mp\_clamp} -\end{figure} - -\textbf{Algorithm mp\_clamp.} -As can be expected this algorithm is very simple. The loop on step one is expected to iterate only once or twice at -the most. For example, this will happen in cases where there is not a carry to fill the last position. Step two fixes the sign for -when all of the digits are zero to ensure that the mp\_int is valid at all times. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_clamp.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Note on line 28 how to test for the \textbf{used} count is made on the left of the \&\& operator. In the C programming -language the terms to \&\& are evaluated left to right with a boolean short-circuit if any condition fails. This is -important since if the \textbf{used} is zero the test on the right would fetch below the array. That is obviously -undesirable. The parenthesis on line 31 is used to make sure the \textbf{used} count is decremented and not -the pointer ``a''. - -\section*{Exercises} -\begin{tabular}{cl} -$\left [ 1 \right ]$ & Discuss the relevance of the \textbf{used} member of the mp\_int structure. \\ - & \\ -$\left [ 1 \right ]$ & Discuss the consequences of not using padding when performing allocations. \\ - & \\ -$\left [ 2 \right ]$ & Estimate an ideal value for \textbf{MP\_PREC} when performing 1024-bit RSA \\ - & encryption when $\beta = 2^{28}$. \\ - & \\ -$\left [ 1 \right ]$ & Discuss the relevance of the algorithm mp\_clamp. What does it prevent? \\ - & \\ -$\left [ 1 \right ]$ & Give an example of when the algorithm mp\_init\_copy might be useful. \\ - & \\ -\end{tabular} - - -%%% -% CHAPTER FOUR -%%% - -\chapter{Basic Operations} - -\section{Introduction} -In the previous chapter a series of low level algorithms were established that dealt with initializing and maintaining -mp\_int structures. This chapter will discuss another set of seemingly non-algebraic algorithms which will form the low -level basis of the entire library. While these algorithm are relatively trivial it is important to understand how they -work before proceeding since these algorithms will be used almost intrinsically in the following chapters. - -The algorithms in this chapter deal primarily with more ``programmer'' related tasks such as creating copies of -mp\_int structures, assigning small values to mp\_int structures and comparisons of the values mp\_int structures -represent. - -\section{Assigning Values to mp\_int Structures} -\subsection{Copying an mp\_int} -Assigning the value that a given mp\_int structure represents to another mp\_int structure shall be known as making -a copy for the purposes of this text. The copy of the mp\_int will be a separate entity that represents the same -value as the mp\_int it was copied from. The mp\_copy algorithm provides this functionality. - -\newpage\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_copy}. \\ -\textbf{Input}. An mp\_int $a$ and $b$. \\ -\textbf{Output}. Store a copy of $a$ in $b$. \\ -\hline \\ -1. If $b.alloc < a.used$ then grow $b$ to $a.used$ digits. (\textit{mp\_grow}) \\ -2. for $n$ from 0 to $a.used - 1$ do \\ -\hspace{3mm}2.1 $b_{n} \leftarrow a_{n}$ \\ -3. for $n$ from $a.used$ to $b.used - 1$ do \\ -\hspace{3mm}3.1 $b_{n} \leftarrow 0$ \\ -4. $b.used \leftarrow a.used$ \\ -5. $b.sign \leftarrow a.sign$ \\ -6. return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_copy} -\end{figure} - -\textbf{Algorithm mp\_copy.} -This algorithm copies the mp\_int $a$ such that upon succesful termination of the algorithm the mp\_int $b$ will -represent the same integer as the mp\_int $a$. The mp\_int $b$ shall be a complete and distinct copy of the -mp\_int $a$ meaing that the mp\_int $a$ can be modified and it shall not affect the value of the mp\_int $b$. - -If $b$ does not have enough room for the digits of $a$ it must first have its precision augmented via the mp\_grow -algorithm. The digits of $a$ are copied over the digits of $b$ and any excess digits of $b$ are set to zero (step two -and three). The \textbf{used} and \textbf{sign} members of $a$ are finally copied over the respective members of -$b$. - -\textbf{Remark.} This algorithm also introduces a new idiosyncrasy that will be used throughout the rest of the -text. The error return codes of other algorithms are not explicitly checked in the pseudo-code presented. For example, in -step one of the mp\_copy algorithm the return of mp\_grow is not explicitly checked to ensure it succeeded. Text space is -limited so it is assumed that if a algorithm fails it will clear all temporarily allocated mp\_ints and return -the error code itself. However, the C code presented will demonstrate all of the error handling logic required to -implement the pseudo-code. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_copy.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Occasionally a dependent algorithm may copy an mp\_int effectively into itself such as when the input and output -mp\_int structures passed to a function are one and the same. For this case it is optimal to return immediately without -copying digits (line 25). - -The mp\_int $b$ must have enough digits to accomodate the used digits of the mp\_int $a$. If $b.alloc$ is less than -$a.used$ the algorithm mp\_grow is used to augment the precision of $b$ (lines 30 to 33). In order to -simplify the inner loop that copies the digits from $a$ to $b$, two aliases $tmpa$ and $tmpb$ point directly at the digits -of the mp\_ints $a$ and $b$ respectively. These aliases (lines 43 and 46) allow the compiler to access the digits without first dereferencing the -mp\_int pointers and then subsequently the pointer to the digits. - -After the aliases are established the digits from $a$ are copied into $b$ (lines 49 to 51) and then the excess -digits of $b$ are set to zero (lines 54 to 56). Both ``for'' loops make use of the pointer aliases and in -fact the alias for $b$ is carried through into the second ``for'' loop to clear the excess digits. This optimization -allows the alias to stay in a machine register fairly easy between the two loops. - -\textbf{Remarks.} The use of pointer aliases is an implementation methodology first introduced in this function that will -be used considerably in other functions. Technically, a pointer alias is simply a short hand alias used to lower the -number of pointer dereferencing operations required to access data. For example, a for loop may resemble - -\begin{alltt} -for (x = 0; x < 100; x++) \{ - a->num[4]->dp[x] = 0; -\} -\end{alltt} - -This could be re-written using aliases as - -\begin{alltt} -mp_digit *tmpa; -a = a->num[4]->dp; -for (x = 0; x < 100; x++) \{ - *a++ = 0; -\} -\end{alltt} - -In this case an alias is used to access the -array of digits within an mp\_int structure directly. It may seem that a pointer alias is strictly not required -as a compiler may optimize out the redundant pointer operations. However, there are two dominant reasons to use aliases. - -The first reason is that most compilers will not effectively optimize pointer arithmetic. For example, some optimizations -may work for the Microsoft Visual C++ compiler (MSVC) and not for the GNU C Compiler (GCC). Also some optimizations may -work for GCC and not MSVC. As such it is ideal to find a common ground for as many compilers as possible. Pointer -aliases optimize the code considerably before the compiler even reads the source code which means the end compiled code -stands a better chance of being faster. - -The second reason is that pointer aliases often can make an algorithm simpler to read. Consider the first ``for'' -loop of the function mp\_copy() re-written to not use pointer aliases. - -\begin{alltt} - /* copy all the digits */ - for (n = 0; n < a->used; n++) \{ - b->dp[n] = a->dp[n]; - \} -\end{alltt} - -Whether this code is harder to read depends strongly on the individual. However, it is quantifiably slightly more -complicated as there are four variables within the statement instead of just two. - -\subsubsection{Nested Statements} -Another commonly used technique in the source routines is that certain sections of code are nested. This is used in -particular with the pointer aliases to highlight code phases. For example, a Comba multiplier (discussed in chapter six) -will typically have three different phases. First the temporaries are initialized, then the columns calculated and -finally the carries are propagated. In this example the middle column production phase will typically be nested as it -uses temporary variables and aliases the most. - -The nesting also simplies the source code as variables that are nested are only valid for their scope. As a result -the various temporary variables required do not propagate into other sections of code. - - -\subsection{Creating a Clone} -Another common operation is to make a local temporary copy of an mp\_int argument. To initialize an mp\_int -and then copy another existing mp\_int into the newly intialized mp\_int will be known as creating a clone. This is -useful within functions that need to modify an argument but do not wish to actually modify the original copy. The -mp\_init\_copy algorithm has been designed to help perform this task. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_init\_copy}. \\ -\textbf{Input}. An mp\_int $a$ and $b$\\ -\textbf{Output}. $a$ is initialized to be a copy of $b$. \\ -\hline \\ -1. Init $a$. (\textit{mp\_init}) \\ -2. Copy $b$ to $a$. (\textit{mp\_copy}) \\ -3. Return the status of the copy operation. \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_init\_copy} -\end{figure} - -\textbf{Algorithm mp\_init\_copy.} -This algorithm will initialize an mp\_int variable and copy another previously initialized mp\_int variable into it. As -such this algorithm will perform two operations in one step. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_init\_copy.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This will initialize \textbf{a} and make it a verbatim copy of the contents of \textbf{b}. Note that -\textbf{a} will have its own memory allocated which means that \textbf{b} may be cleared after the call -and \textbf{a} will be left intact. - -\section{Zeroing an Integer} -Reseting an mp\_int to the default state is a common step in many algorithms. The mp\_zero algorithm will be the algorithm used to -perform this task. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_zero}. \\ -\textbf{Input}. An mp\_int $a$ \\ -\textbf{Output}. Zero the contents of $a$ \\ -\hline \\ -1. $a.used \leftarrow 0$ \\ -2. $a.sign \leftarrow$ MP\_ZPOS \\ -3. for $n$ from 0 to $a.alloc - 1$ do \\ -\hspace{3mm}3.1 $a_n \leftarrow 0$ \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_zero} -\end{figure} - -\textbf{Algorithm mp\_zero.} -This algorithm simply resets a mp\_int to the default state. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_zero.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -After the function is completed, all of the digits are zeroed, the \textbf{used} count is zeroed and the -\textbf{sign} variable is set to \textbf{MP\_ZPOS}. - -\section{Sign Manipulation} -\subsection{Absolute Value} -With the mp\_int representation of an integer, calculating the absolute value is trivial. The mp\_abs algorithm will compute -the absolute value of an mp\_int. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_abs}. \\ -\textbf{Input}. An mp\_int $a$ \\ -\textbf{Output}. Computes $b = \vert a \vert$ \\ -\hline \\ -1. Copy $a$ to $b$. (\textit{mp\_copy}) \\ -2. If the copy failed return(\textit{MP\_MEM}). \\ -3. $b.sign \leftarrow MP\_ZPOS$ \\ -4. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_abs} -\end{figure} - -\textbf{Algorithm mp\_abs.} -This algorithm computes the absolute of an mp\_int input. First it copies $a$ over $b$. This is an example of an -algorithm where the check in mp\_copy that determines if the source and destination are equal proves useful. This allows, -for instance, the developer to pass the same mp\_int as the source and destination to this function without addition -logic to handle it. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_abs.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This fairly trivial algorithm first eliminates non--required duplications (line 28) and then sets the -\textbf{sign} flag to \textbf{MP\_ZPOS}. - -\subsection{Integer Negation} -With the mp\_int representation of an integer, calculating the negation is also trivial. The mp\_neg algorithm will compute -the negative of an mp\_int input. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_neg}. \\ -\textbf{Input}. An mp\_int $a$ \\ -\textbf{Output}. Computes $b = -a$ \\ -\hline \\ -1. Copy $a$ to $b$. (\textit{mp\_copy}) \\ -2. If the copy failed return(\textit{MP\_MEM}). \\ -3. If $a.used = 0$ then return(\textit{MP\_OKAY}). \\ -4. If $a.sign = MP\_ZPOS$ then do \\ -\hspace{3mm}4.1 $b.sign = MP\_NEG$. \\ -5. else do \\ -\hspace{3mm}5.1 $b.sign = MP\_ZPOS$. \\ -6. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_neg} -\end{figure} - -\textbf{Algorithm mp\_neg.} -This algorithm computes the negation of an input. First it copies $a$ over $b$. If $a$ has no used digits then -the algorithm returns immediately. Otherwise it flips the sign flag and stores the result in $b$. Note that if -$a$ had no digits then it must be positive by definition. Had step three been omitted then the algorithm would return -zero as negative. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_neg.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Like mp\_abs() this function avoids non--required duplications (line 22) and then sets the sign. We -have to make sure that only non--zero values get a \textbf{sign} of \textbf{MP\_NEG}. If the mp\_int is zero -than the \textbf{sign} is hard--coded to \textbf{MP\_ZPOS}. - -\section{Small Constants} -\subsection{Setting Small Constants} -Often a mp\_int must be set to a relatively small value such as $1$ or $2$. For these cases the mp\_set algorithm is useful. - -\newpage\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_set}. \\ -\textbf{Input}. An mp\_int $a$ and a digit $b$ \\ -\textbf{Output}. Make $a$ equivalent to $b$ \\ -\hline \\ -1. Zero $a$ (\textit{mp\_zero}). \\ -2. $a_0 \leftarrow b \mbox{ (mod }\beta\mbox{)}$ \\ -3. $a.used \leftarrow \left \lbrace \begin{array}{ll} - 1 & \mbox{if }a_0 > 0 \\ - 0 & \mbox{if }a_0 = 0 - \end{array} \right .$ \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_set} -\end{figure} - -\textbf{Algorithm mp\_set.} -This algorithm sets a mp\_int to a small single digit value. Step number 1 ensures that the integer is reset to the default state. The -single digit is set (\textit{modulo $\beta$}) and the \textbf{used} count is adjusted accordingly. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_set.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -First we zero (line 21) the mp\_int to make sure that the other members are initialized for a -small positive constant. mp\_zero() ensures that the \textbf{sign} is positive and the \textbf{used} count -is zero. Next we set the digit and reduce it modulo $\beta$ (line 22). After this step we have to -check if the resulting digit is zero or not. If it is not then we set the \textbf{used} count to one, otherwise -to zero. - -We can quickly reduce modulo $\beta$ since it is of the form $2^k$ and a quick binary AND operation with -$2^k - 1$ will perform the same operation. - -One important limitation of this function is that it will only set one digit. The size of a digit is not fixed, meaning source that uses -this function should take that into account. Only trivially small constants can be set using this function. - -\subsection{Setting Large Constants} -To overcome the limitations of the mp\_set algorithm the mp\_set\_int algorithm is ideal. It accepts a ``long'' -data type as input and will always treat it as a 32-bit integer. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_set\_int}. \\ -\textbf{Input}. An mp\_int $a$ and a ``long'' integer $b$ \\ -\textbf{Output}. Make $a$ equivalent to $b$ \\ -\hline \\ -1. Zero $a$ (\textit{mp\_zero}) \\ -2. for $n$ from 0 to 7 do \\ -\hspace{3mm}2.1 $a \leftarrow a \cdot 16$ (\textit{mp\_mul2d}) \\ -\hspace{3mm}2.2 $u \leftarrow \lfloor b / 2^{4(7 - n)} \rfloor \mbox{ (mod }16\mbox{)}$\\ -\hspace{3mm}2.3 $a_0 \leftarrow a_0 + u$ \\ -\hspace{3mm}2.4 $a.used \leftarrow a.used + 1$ \\ -3. Clamp excess used digits (\textit{mp\_clamp}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_set\_int} -\end{figure} - -\textbf{Algorithm mp\_set\_int.} -The algorithm performs eight iterations of a simple loop where in each iteration four bits from the source are added to the -mp\_int. Step 2.1 will multiply the current result by sixteen making room for four more bits in the less significant positions. In step 2.2 the -next four bits from the source are extracted and are added to the mp\_int. The \textbf{used} digit count is -incremented to reflect the addition. The \textbf{used} digit counter is incremented since if any of the leading digits were zero the mp\_int would have -zero digits used and the newly added four bits would be ignored. - -Excess zero digits are trimmed in steps 2.1 and 3 by using higher level algorithms mp\_mul2d and mp\_clamp. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_set\_int.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This function sets four bits of the number at a time to handle all practical \textbf{DIGIT\_BIT} sizes. The weird -addition on line 39 ensures that the newly added in bits are added to the number of digits. While it may not -seem obvious as to why the digit counter does not grow exceedingly large it is because of the shift on line 28 -as well as the call to mp\_clamp() on line 41. Both functions will clamp excess leading digits which keeps -the number of used digits low. - -\section{Comparisons} -\subsection{Unsigned Comparisions} -Comparing a multiple precision integer is performed with the exact same algorithm used to compare two decimal numbers. For example, -to compare $1,234$ to $1,264$ the digits are extracted by their positions. That is we compare $1 \cdot 10^3 + 2 \cdot 10^2 + 3 \cdot 10^1 + 4 \cdot 10^0$ -to $1 \cdot 10^3 + 2 \cdot 10^2 + 6 \cdot 10^1 + 4 \cdot 10^0$ by comparing single digits at a time starting with the highest magnitude -positions. If any leading digit of one integer is greater than a digit in the same position of another integer then obviously it must be greater. - -The first comparision routine that will be developed is the unsigned magnitude compare which will perform a comparison based on the digits of two -mp\_int variables alone. It will ignore the sign of the two inputs. Such a function is useful when an absolute comparison is required or if the -signs are known to agree in advance. - -To facilitate working with the results of the comparison functions three constants are required. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{|r|l|} -\hline \textbf{Constant} & \textbf{Meaning} \\ -\hline \textbf{MP\_GT} & Greater Than \\ -\hline \textbf{MP\_EQ} & Equal To \\ -\hline \textbf{MP\_LT} & Less Than \\ -\hline -\end{tabular} -\end{center} -\caption{Comparison Return Codes} -\end{figure} - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_cmp\_mag}. \\ -\textbf{Input}. Two mp\_ints $a$ and $b$. \\ -\textbf{Output}. Unsigned comparison results ($a$ to the left of $b$). \\ -\hline \\ -1. If $a.used > b.used$ then return(\textit{MP\_GT}) \\ -2. If $a.used < b.used$ then return(\textit{MP\_LT}) \\ -3. for n from $a.used - 1$ to 0 do \\ -\hspace{+3mm}3.1 if $a_n > b_n$ then return(\textit{MP\_GT}) \\ -\hspace{+3mm}3.2 if $a_n < b_n$ then return(\textit{MP\_LT}) \\ -4. Return(\textit{MP\_EQ}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_cmp\_mag} -\end{figure} - -\textbf{Algorithm mp\_cmp\_mag.} -By saying ``$a$ to the left of $b$'' it is meant that the comparison is with respect to $a$, that is if $a$ is greater than $b$ it will return -\textbf{MP\_GT} and similar with respect to when $a = b$ and $a < b$. The first two steps compare the number of digits used in both $a$ and $b$. -Obviously if the digit counts differ there would be an imaginary zero digit in the smaller number where the leading digit of the larger number is. -If both have the same number of digits than the actual digits themselves must be compared starting at the leading digit. - -By step three both inputs must have the same number of digits so its safe to start from either $a.used - 1$ or $b.used - 1$ and count down to -the zero'th digit. If after all of the digits have been compared, no difference is found, the algorithm returns \textbf{MP\_EQ}. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_cmp\_mag.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The two if statements (lines 25 and 29) compare the number of digits in the two inputs. These two are -performed before all of the digits are compared since it is a very cheap test to perform and can potentially save -considerable time. The implementation given is also not valid without those two statements. $b.alloc$ may be -smaller than $a.used$, meaning that undefined values will be read from $b$ past the end of the array of digits. - - - -\subsection{Signed Comparisons} -Comparing with sign considerations is also fairly critical in several routines (\textit{division for example}). Based on an unsigned magnitude -comparison a trivial signed comparison algorithm can be written. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_cmp}. \\ -\textbf{Input}. Two mp\_ints $a$ and $b$ \\ -\textbf{Output}. Signed Comparison Results ($a$ to the left of $b$) \\ -\hline \\ -1. if $a.sign = MP\_NEG$ and $b.sign = MP\_ZPOS$ then return(\textit{MP\_LT}) \\ -2. if $a.sign = MP\_ZPOS$ and $b.sign = MP\_NEG$ then return(\textit{MP\_GT}) \\ -3. if $a.sign = MP\_NEG$ then \\ -\hspace{+3mm}3.1 Return the unsigned comparison of $b$ and $a$ (\textit{mp\_cmp\_mag}) \\ -4 Otherwise \\ -\hspace{+3mm}4.1 Return the unsigned comparison of $a$ and $b$ \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_cmp} -\end{figure} - -\textbf{Algorithm mp\_cmp.} -The first two steps compare the signs of the two inputs. If the signs do not agree then it can return right away with the appropriate -comparison code. When the signs are equal the digits of the inputs must be compared to determine the correct result. In step -three the unsigned comparision flips the order of the arguments since they are both negative. For instance, if $-a > -b$ then -$\vert a \vert < \vert b \vert$. Step number four will compare the two when they are both positive. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_cmp.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The two if statements (lines 23 and 24) perform the initial sign comparison. If the signs are not the equal then which ever -has the positive sign is larger. The inputs are compared (line 32) based on magnitudes. If the signs were both -negative then the unsigned comparison is performed in the opposite direction (line 34). Otherwise, the signs are assumed to -be both positive and a forward direction unsigned comparison is performed. - -\section*{Exercises} -\begin{tabular}{cl} -$\left [ 2 \right ]$ & Modify algorithm mp\_set\_int to accept as input a variable length array of bits. \\ - & \\ -$\left [ 3 \right ]$ & Give the probability that algorithm mp\_cmp\_mag will have to compare $k$ digits \\ - & of two random digits (of equal magnitude) before a difference is found. \\ - & \\ -$\left [ 1 \right ]$ & Suggest a simple method to speed up the implementation of mp\_cmp\_mag based \\ - & on the observations made in the previous problem. \\ - & -\end{tabular} - -\chapter{Basic Arithmetic} -\section{Introduction} -At this point algorithms for initialization, clearing, zeroing, copying, comparing and setting small constants have been -established. The next logical set of algorithms to develop are addition, subtraction and digit shifting algorithms. These -algorithms make use of the lower level algorithms and are the cruicial building block for the multiplication algorithms. It is very important -that these algorithms are highly optimized. On their own they are simple $O(n)$ algorithms but they can be called from higher level algorithms -which easily places them at $O(n^2)$ or even $O(n^3)$ work levels. - -All of the algorithms within this chapter make use of the logical bit shift operations denoted by $<<$ and $>>$ for left and right -logical shifts respectively. A logical shift is analogous to sliding the decimal point of radix-10 representations. For example, the real -number $0.9345$ is equivalent to $93.45\%$ which is found by sliding the the decimal two places to the right (\textit{multiplying by $\beta^2 = 10^2$}). -Algebraically a binary logical shift is equivalent to a division or multiplication by a power of two. -For example, $a << k = a \cdot 2^k$ while $a >> k = \lfloor a/2^k \rfloor$. - -One significant difference between a logical shift and the way decimals are shifted is that digits below the zero'th position are removed -from the number. For example, consider $1101_2 >> 1$ using decimal notation this would produce $110.1_2$. However, with a logical shift the -result is $110_2$. - -\section{Addition and Subtraction} -In common twos complement fixed precision arithmetic negative numbers are easily represented by subtraction from the modulus. For example, with 32-bit integers -$a - b\mbox{ (mod }2^{32}\mbox{)}$ is the same as $a + (2^{32} - b) \mbox{ (mod }2^{32}\mbox{)}$ since $2^{32} \equiv 0 \mbox{ (mod }2^{32}\mbox{)}$. -As a result subtraction can be performed with a trivial series of logical operations and an addition. - -However, in multiple precision arithmetic negative numbers are not represented in the same way. Instead a sign flag is used to keep track of the -sign of the integer. As a result signed addition and subtraction are actually implemented as conditional usage of lower level addition or -subtraction algorithms with the sign fixed up appropriately. - -The lower level algorithms will add or subtract integers without regard to the sign flag. That is they will add or subtract the magnitude of -the integers respectively. - -\subsection{Low Level Addition} -An unsigned addition of multiple precision integers is performed with the same long-hand algorithm used to add decimal numbers. That is to add the -trailing digits first and propagate the resulting carry upwards. Since this is a lower level algorithm the name will have a ``s\_'' prefix. -Historically that convention stems from the MPI library where ``s\_'' stood for static functions that were hidden from the developer entirely. - -\newpage -\begin{figure}[!here] -\begin{center} -\begin{small} -\begin{tabular}{l} -\hline Algorithm \textbf{s\_mp\_add}. \\ -\textbf{Input}. Two mp\_ints $a$ and $b$ \\ -\textbf{Output}. The unsigned addition $c = \vert a \vert + \vert b \vert$. \\ -\hline \\ -1. if $a.used > b.used$ then \\ -\hspace{+3mm}1.1 $min \leftarrow b.used$ \\ -\hspace{+3mm}1.2 $max \leftarrow a.used$ \\ -\hspace{+3mm}1.3 $x \leftarrow a$ \\ -2. else \\ -\hspace{+3mm}2.1 $min \leftarrow a.used$ \\ -\hspace{+3mm}2.2 $max \leftarrow b.used$ \\ -\hspace{+3mm}2.3 $x \leftarrow b$ \\ -3. If $c.alloc < max + 1$ then grow $c$ to hold at least $max + 1$ digits (\textit{mp\_grow}) \\ -4. $oldused \leftarrow c.used$ \\ -5. $c.used \leftarrow max + 1$ \\ -6. $u \leftarrow 0$ \\ -7. for $n$ from $0$ to $min - 1$ do \\ -\hspace{+3mm}7.1 $c_n \leftarrow a_n + b_n + u$ \\ -\hspace{+3mm}7.2 $u \leftarrow c_n >> lg(\beta)$ \\ -\hspace{+3mm}7.3 $c_n \leftarrow c_n \mbox{ (mod }\beta\mbox{)}$ \\ -8. if $min \ne max$ then do \\ -\hspace{+3mm}8.1 for $n$ from $min$ to $max - 1$ do \\ -\hspace{+6mm}8.1.1 $c_n \leftarrow x_n + u$ \\ -\hspace{+6mm}8.1.2 $u \leftarrow c_n >> lg(\beta)$ \\ -\hspace{+6mm}8.1.3 $c_n \leftarrow c_n \mbox{ (mod }\beta\mbox{)}$ \\ -9. $c_{max} \leftarrow u$ \\ -10. if $olduse > max$ then \\ -\hspace{+3mm}10.1 for $n$ from $max + 1$ to $oldused - 1$ do \\ -\hspace{+6mm}10.1.1 $c_n \leftarrow 0$ \\ -11. Clamp excess digits in $c$. (\textit{mp\_clamp}) \\ -12. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Algorithm s\_mp\_add} -\end{figure} - -\textbf{Algorithm s\_mp\_add.} -This algorithm is loosely based on algorithm 14.7 of HAC \cite[pp. 594]{HAC} but has been extended to allow the inputs to have different magnitudes. -Coincidentally the description of algorithm A in Knuth \cite[pp. 266]{TAOCPV2} shares the same deficiency as the algorithm from \cite{HAC}. Even the -MIX pseudo machine code presented by Knuth \cite[pp. 266-267]{TAOCPV2} is incapable of handling inputs which are of different magnitudes. - -The first thing that has to be accomplished is to sort out which of the two inputs is the largest. The addition logic -will simply add all of the smallest input to the largest input and store that first part of the result in the -destination. Then it will apply a simpler addition loop to excess digits of the larger input. - -The first two steps will handle sorting the inputs such that $min$ and $max$ hold the digit counts of the two -inputs. The variable $x$ will be an mp\_int alias for the largest input or the second input $b$ if they have the -same number of digits. After the inputs are sorted the destination $c$ is grown as required to accomodate the sum -of the two inputs. The original \textbf{used} count of $c$ is copied and set to the new used count. - -At this point the first addition loop will go through as many digit positions that both inputs have. The carry -variable $\mu$ is set to zero outside the loop. Inside the loop an ``addition'' step requires three statements to produce -one digit of the summand. First -two digits from $a$ and $b$ are added together along with the carry $\mu$. The carry of this step is extracted and stored -in $\mu$ and finally the digit of the result $c_n$ is truncated within the range $0 \le c_n < \beta$. - -Now all of the digit positions that both inputs have in common have been exhausted. If $min \ne max$ then $x$ is an alias -for one of the inputs that has more digits. A simplified addition loop is then used to essentially copy the remaining digits -and the carry to the destination. - -The final carry is stored in $c_{max}$ and digits above $max$ upto $oldused$ are zeroed which completes the addition. - - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_s\_mp\_add.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -We first sort (lines 28 to 36) the inputs based on magnitude and determine the $min$ and $max$ variables. -Note that $x$ is a pointer to an mp\_int assigned to the largest input, in effect it is a local alias. Next we -grow the destination (38 to 42) ensure that it can accomodate the result of the addition. - -Similar to the implementation of mp\_copy this function uses the braced code and local aliases coding style. The three aliases that are on -lines 56, 59 and 62 represent the two inputs and destination variables respectively. These aliases are used to ensure the -compiler does not have to dereference $a$, $b$ or $c$ (respectively) to access the digits of the respective mp\_int. - -The initial carry $u$ will be cleared (line 65), note that $u$ is of type mp\_digit which ensures type -compatibility within the implementation. The initial addition (line 66 to 75) adds digits from -both inputs until the smallest input runs out of digits. Similarly the conditional addition loop -(line 81 to 90) adds the remaining digits from the larger of the two inputs. The addition is finished -with the final carry being stored in $tmpc$ (line 94). Note the ``++'' operator within the same expression. -After line 94, $tmpc$ will point to the $c.used$'th digit of the mp\_int $c$. This is useful -for the next loop (line 97 to 99) which set any old upper digits to zero. - -\subsection{Low Level Subtraction} -The low level unsigned subtraction algorithm is very similar to the low level unsigned addition algorithm. The principle difference is that the -unsigned subtraction algorithm requires the result to be positive. That is when computing $a - b$ the condition $\vert a \vert \ge \vert b\vert$ must -be met for this algorithm to function properly. Keep in mind this low level algorithm is not meant to be used in higher level algorithms directly. -This algorithm as will be shown can be used to create functional signed addition and subtraction algorithms. - - -For this algorithm a new variable is required to make the description simpler. Recall from section 1.3.1 that a mp\_digit must be able to represent -the range $0 \le x < 2\beta$ for the algorithms to work correctly. However, it is allowable that a mp\_digit represent a larger range of values. For -this algorithm we will assume that the variable $\gamma$ represents the number of bits available in a -mp\_digit (\textit{this implies $2^{\gamma} > \beta$}). - -For example, the default for LibTomMath is to use a ``unsigned long'' for the mp\_digit ``type'' while $\beta = 2^{28}$. In ISO C an ``unsigned long'' -data type must be able to represent $0 \le x < 2^{32}$ meaning that in this case $\gamma \ge 32$. - -\newpage\begin{figure}[!here] -\begin{center} -\begin{small} -\begin{tabular}{l} -\hline Algorithm \textbf{s\_mp\_sub}. \\ -\textbf{Input}. Two mp\_ints $a$ and $b$ ($\vert a \vert \ge \vert b \vert$) \\ -\textbf{Output}. The unsigned subtraction $c = \vert a \vert - \vert b \vert$. \\ -\hline \\ -1. $min \leftarrow b.used$ \\ -2. $max \leftarrow a.used$ \\ -3. If $c.alloc < max$ then grow $c$ to hold at least $max$ digits. (\textit{mp\_grow}) \\ -4. $oldused \leftarrow c.used$ \\ -5. $c.used \leftarrow max$ \\ -6. $u \leftarrow 0$ \\ -7. for $n$ from $0$ to $min - 1$ do \\ -\hspace{3mm}7.1 $c_n \leftarrow a_n - b_n - u$ \\ -\hspace{3mm}7.2 $u \leftarrow c_n >> (\gamma - 1)$ \\ -\hspace{3mm}7.3 $c_n \leftarrow c_n \mbox{ (mod }\beta\mbox{)}$ \\ -8. if $min < max$ then do \\ -\hspace{3mm}8.1 for $n$ from $min$ to $max - 1$ do \\ -\hspace{6mm}8.1.1 $c_n \leftarrow a_n - u$ \\ -\hspace{6mm}8.1.2 $u \leftarrow c_n >> (\gamma - 1)$ \\ -\hspace{6mm}8.1.3 $c_n \leftarrow c_n \mbox{ (mod }\beta\mbox{)}$ \\ -9. if $oldused > max$ then do \\ -\hspace{3mm}9.1 for $n$ from $max$ to $oldused - 1$ do \\ -\hspace{6mm}9.1.1 $c_n \leftarrow 0$ \\ -10. Clamp excess digits of $c$. (\textit{mp\_clamp}). \\ -11. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Algorithm s\_mp\_sub} -\end{figure} - -\textbf{Algorithm s\_mp\_sub.} -This algorithm performs the unsigned subtraction of two mp\_int variables under the restriction that the result must be positive. That is when -passing variables $a$ and $b$ the condition that $\vert a \vert \ge \vert b \vert$ must be met for the algorithm to function correctly. This -algorithm is loosely based on algorithm 14.9 \cite[pp. 595]{HAC} and is similar to algorithm S in \cite[pp. 267]{TAOCPV2} as well. As was the case -of the algorithm s\_mp\_add both other references lack discussion concerning various practical details such as when the inputs differ in magnitude. - -The initial sorting of the inputs is trivial in this algorithm since $a$ is guaranteed to have at least the same magnitude of $b$. Steps 1 and 2 -set the $min$ and $max$ variables. Unlike the addition routine there is guaranteed to be no carry which means that the final result can be at -most $max$ digits in length as opposed to $max + 1$. Similar to the addition algorithm the \textbf{used} count of $c$ is copied locally and -set to the maximal count for the operation. - -The subtraction loop that begins on step seven is essentially the same as the addition loop of algorithm s\_mp\_add except single precision -subtraction is used instead. Note the use of the $\gamma$ variable to extract the carry (\textit{also known as the borrow}) within the subtraction -loops. Under the assumption that two's complement single precision arithmetic is used this will successfully extract the desired carry. - -For example, consider subtracting $0101_2$ from $0100_2$ where $\gamma = 4$ and $\beta = 2$. The least significant bit will force a carry upwards to -the third bit which will be set to zero after the borrow. After the very first bit has been subtracted $4 - 1 \equiv 0011_2$ will remain, When the -third bit of $0101_2$ is subtracted from the result it will cause another carry. In this case though the carry will be forced to propagate all the -way to the most significant bit. - -Recall that $\beta < 2^{\gamma}$. This means that if a carry does occur just before the $lg(\beta)$'th bit it will propagate all the way to the most -significant bit. Thus, the high order bits of the mp\_digit that are not part of the actual digit will either be all zero, or all one. All that -is needed is a single zero or one bit for the carry. Therefore a single logical shift right by $\gamma - 1$ positions is sufficient to extract the -carry. This method of carry extraction may seem awkward but the reason for it becomes apparent when the implementation is discussed. - -If $b$ has a smaller magnitude than $a$ then step 9 will force the carry and copy operation to propagate through the larger input $a$ into $c$. Step -10 will ensure that any leading digits of $c$ above the $max$'th position are zeroed. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_s\_mp\_sub.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Like low level addition we ``sort'' the inputs. Except in this case the sorting is hardcoded -(lines 25 and 26). In reality the $min$ and $max$ variables are only aliases and are only -used to make the source code easier to read. Again the pointer alias optimization is used -within this algorithm. The aliases $tmpa$, $tmpb$ and $tmpc$ are initialized -(lines 42, 43 and 44) for $a$, $b$ and $c$ respectively. - -The first subtraction loop (lines 47 through 61) subtract digits from both inputs until the smaller of -the two inputs has been exhausted. As remarked earlier there is an implementation reason for using the ``awkward'' -method of extracting the carry (line 57). The traditional method for extracting the carry would be to shift -by $lg(\beta)$ positions and logically AND the least significant bit. The AND operation is required because all of -the bits above the $\lg(\beta)$'th bit will be set to one after a carry occurs from subtraction. This carry -extraction requires two relatively cheap operations to extract the carry. The other method is to simply shift the -most significant bit to the least significant bit thus extracting the carry with a single cheap operation. This -optimization only works on twos compliment machines which is a safe assumption to make. - -If $a$ has a larger magnitude than $b$ an additional loop (lines 64 through 73) is required to propagate -the carry through $a$ and copy the result to $c$. - -\subsection{High Level Addition} -Now that both lower level addition and subtraction algorithms have been established an effective high level signed addition algorithm can be -established. This high level addition algorithm will be what other algorithms and developers will use to perform addition of mp\_int data -types. - -Recall from section 5.2 that an mp\_int represents an integer with an unsigned mantissa (\textit{the array of digits}) and a \textbf{sign} -flag. A high level addition is actually performed as a series of eight separate cases which can be optimized down to three unique cases. - -\begin{figure}[!here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_add}. \\ -\textbf{Input}. Two mp\_ints $a$ and $b$ \\ -\textbf{Output}. The signed addition $c = a + b$. \\ -\hline \\ -1. if $a.sign = b.sign$ then do \\ -\hspace{3mm}1.1 $c.sign \leftarrow a.sign$ \\ -\hspace{3mm}1.2 $c \leftarrow \vert a \vert + \vert b \vert$ (\textit{s\_mp\_add})\\ -2. else do \\ -\hspace{3mm}2.1 if $\vert a \vert < \vert b \vert$ then do (\textit{mp\_cmp\_mag}) \\ -\hspace{6mm}2.1.1 $c.sign \leftarrow b.sign$ \\ -\hspace{6mm}2.1.2 $c \leftarrow \vert b \vert - \vert a \vert$ (\textit{s\_mp\_sub}) \\ -\hspace{3mm}2.2 else do \\ -\hspace{6mm}2.2.1 $c.sign \leftarrow a.sign$ \\ -\hspace{6mm}2.2.2 $c \leftarrow \vert a \vert - \vert b \vert$ \\ -3. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_add} -\end{figure} - -\textbf{Algorithm mp\_add.} -This algorithm performs the signed addition of two mp\_int variables. There is no reference algorithm to draw upon from -either \cite{TAOCPV2} or \cite{HAC} since they both only provide unsigned operations. The algorithm is fairly -straightforward but restricted since subtraction can only produce positive results. - -\begin{figure}[here] -\begin{small} -\begin{center} -\begin{tabular}{|c|c|c|c|c|} -\hline \textbf{Sign of $a$} & \textbf{Sign of $b$} & \textbf{$\vert a \vert > \vert b \vert $} & \textbf{Unsigned Operation} & \textbf{Result Sign Flag} \\ -\hline $+$ & $+$ & Yes & $c = a + b$ & $a.sign$ \\ -\hline $+$ & $+$ & No & $c = a + b$ & $a.sign$ \\ -\hline $-$ & $-$ & Yes & $c = a + b$ & $a.sign$ \\ -\hline $-$ & $-$ & No & $c = a + b$ & $a.sign$ \\ -\hline &&&&\\ - -\hline $+$ & $-$ & No & $c = b - a$ & $b.sign$ \\ -\hline $-$ & $+$ & No & $c = b - a$ & $b.sign$ \\ - -\hline &&&&\\ - -\hline $+$ & $-$ & Yes & $c = a - b$ & $a.sign$ \\ -\hline $-$ & $+$ & Yes & $c = a - b$ & $a.sign$ \\ - -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Addition Guide Chart} -\label{fig:AddChart} -\end{figure} - -Figure~\ref{fig:AddChart} lists all of the eight possible input combinations and is sorted to show that only three -specific cases need to be handled. The return code of the unsigned operations at step 1.2, 2.1.2 and 2.2.2 are -forwarded to step three to check for errors. This simplifies the description of the algorithm considerably and best -follows how the implementation actually was achieved. - -Also note how the \textbf{sign} is set before the unsigned addition or subtraction is performed. Recall from the descriptions of algorithms -s\_mp\_add and s\_mp\_sub that the mp\_clamp function is used at the end to trim excess digits. The mp\_clamp algorithm will set the \textbf{sign} -to \textbf{MP\_ZPOS} when the \textbf{used} digit count reaches zero. - -For example, consider performing $-a + a$ with algorithm mp\_add. By the description of the algorithm the sign is set to \textbf{MP\_NEG} which would -produce a result of $-0$. However, since the sign is set first then the unsigned addition is performed the subsequent usage of algorithm mp\_clamp -within algorithm s\_mp\_add will force $-0$ to become $0$. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_add.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The source code follows the algorithm fairly closely. The most notable new source code addition is the usage of the $res$ integer variable which -is used to pass result of the unsigned operations forward. Unlike in the algorithm, the variable $res$ is merely returned as is without -explicitly checking it and returning the constant \textbf{MP\_OKAY}. The observation is this algorithm will succeed or fail only if the lower -level functions do so. Returning their return code is sufficient. - -\subsection{High Level Subtraction} -The high level signed subtraction algorithm is essentially the same as the high level signed addition algorithm. - -\newpage\begin{figure}[!here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_sub}. \\ -\textbf{Input}. Two mp\_ints $a$ and $b$ \\ -\textbf{Output}. The signed subtraction $c = a - b$. \\ -\hline \\ -1. if $a.sign \ne b.sign$ then do \\ -\hspace{3mm}1.1 $c.sign \leftarrow a.sign$ \\ -\hspace{3mm}1.2 $c \leftarrow \vert a \vert + \vert b \vert$ (\textit{s\_mp\_add}) \\ -2. else do \\ -\hspace{3mm}2.1 if $\vert a \vert \ge \vert b \vert$ then do (\textit{mp\_cmp\_mag}) \\ -\hspace{6mm}2.1.1 $c.sign \leftarrow a.sign$ \\ -\hspace{6mm}2.1.2 $c \leftarrow \vert a \vert - \vert b \vert$ (\textit{s\_mp\_sub}) \\ -\hspace{3mm}2.2 else do \\ -\hspace{6mm}2.2.1 $c.sign \leftarrow \left \lbrace \begin{array}{ll} - MP\_ZPOS & \mbox{if }a.sign = MP\_NEG \\ - MP\_NEG & \mbox{otherwise} \\ - \end{array} \right .$ \\ -\hspace{6mm}2.2.2 $c \leftarrow \vert b \vert - \vert a \vert$ \\ -3. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_sub} -\end{figure} - -\textbf{Algorithm mp\_sub.} -This algorithm performs the signed subtraction of two inputs. Similar to algorithm mp\_add there is no reference in either \cite{TAOCPV2} or -\cite{HAC}. Also this algorithm is restricted by algorithm s\_mp\_sub. Chart \ref{fig:SubChart} lists the eight possible inputs and -the operations required. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{|c|c|c|c|c|} -\hline \textbf{Sign of $a$} & \textbf{Sign of $b$} & \textbf{$\vert a \vert \ge \vert b \vert $} & \textbf{Unsigned Operation} & \textbf{Result Sign Flag} \\ -\hline $+$ & $-$ & Yes & $c = a + b$ & $a.sign$ \\ -\hline $+$ & $-$ & No & $c = a + b$ & $a.sign$ \\ -\hline $-$ & $+$ & Yes & $c = a + b$ & $a.sign$ \\ -\hline $-$ & $+$ & No & $c = a + b$ & $a.sign$ \\ -\hline &&&& \\ -\hline $+$ & $+$ & Yes & $c = a - b$ & $a.sign$ \\ -\hline $-$ & $-$ & Yes & $c = a - b$ & $a.sign$ \\ -\hline &&&& \\ -\hline $+$ & $+$ & No & $c = b - a$ & $\mbox{opposite of }a.sign$ \\ -\hline $-$ & $-$ & No & $c = b - a$ & $\mbox{opposite of }a.sign$ \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Subtraction Guide Chart} -\label{fig:SubChart} -\end{figure} - -Similar to the case of algorithm mp\_add the \textbf{sign} is set first before the unsigned addition or subtraction. That is to prevent the -algorithm from producing $-a - -a = -0$ as a result. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_sub.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Much like the implementation of algorithm mp\_add the variable $res$ is used to catch the return code of the unsigned addition or subtraction operations -and forward it to the end of the function. On line 39 the ``not equal to'' \textbf{MP\_LT} expression is used to emulate a -``greater than or equal to'' comparison. - -\section{Bit and Digit Shifting} -It is quite common to think of a multiple precision integer as a polynomial in $x$, that is $y = f(\beta)$ where $f(x) = \sum_{i=0}^{n-1} a_i x^i$. -This notation arises within discussion of Montgomery and Diminished Radix Reduction as well as Karatsuba multiplication and squaring. - -In order to facilitate operations on polynomials in $x$ as above a series of simple ``digit'' algorithms have to be established. That is to shift -the digits left or right as well to shift individual bits of the digits left and right. It is important to note that not all ``shift'' operations -are on radix-$\beta$ digits. - -\subsection{Multiplication by Two} - -In a binary system where the radix is a power of two multiplication by two not only arises often in other algorithms it is a fairly efficient -operation to perform. A single precision logical shift left is sufficient to multiply a single digit by two. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_mul\_2}. \\ -\textbf{Input}. One mp\_int $a$ \\ -\textbf{Output}. $b = 2a$. \\ -\hline \\ -1. If $b.alloc < a.used + 1$ then grow $b$ to hold $a.used + 1$ digits. (\textit{mp\_grow}) \\ -2. $oldused \leftarrow b.used$ \\ -3. $b.used \leftarrow a.used$ \\ -4. $r \leftarrow 0$ \\ -5. for $n$ from 0 to $a.used - 1$ do \\ -\hspace{3mm}5.1 $rr \leftarrow a_n >> (lg(\beta) - 1)$ \\ -\hspace{3mm}5.2 $b_n \leftarrow (a_n << 1) + r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}5.3 $r \leftarrow rr$ \\ -6. If $r \ne 0$ then do \\ -\hspace{3mm}6.1 $b_{n + 1} \leftarrow r$ \\ -\hspace{3mm}6.2 $b.used \leftarrow b.used + 1$ \\ -7. If $b.used < oldused - 1$ then do \\ -\hspace{3mm}7.1 for $n$ from $b.used$ to $oldused - 1$ do \\ -\hspace{6mm}7.1.1 $b_n \leftarrow 0$ \\ -8. $b.sign \leftarrow a.sign$ \\ -9. Return(\textit{MP\_OKAY}).\\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_mul\_2} -\end{figure} - -\textbf{Algorithm mp\_mul\_2.} -This algorithm will quickly multiply a mp\_int by two provided $\beta$ is a power of two. Neither \cite{TAOCPV2} nor \cite{HAC} describe such -an algorithm despite the fact it arises often in other algorithms. The algorithm is setup much like the lower level algorithm s\_mp\_add since -it is for all intents and purposes equivalent to the operation $b = \vert a \vert + \vert a \vert$. - -Step 1 and 2 grow the input as required to accomodate the maximum number of \textbf{used} digits in the result. The initial \textbf{used} count -is set to $a.used$ at step 4. Only if there is a final carry will the \textbf{used} count require adjustment. - -Step 6 is an optimization implementation of the addition loop for this specific case. That is since the two values being added together -are the same there is no need to perform two reads from the digits of $a$. Step 6.1 performs a single precision shift on the current digit $a_n$ to -obtain what will be the carry for the next iteration. Step 6.2 calculates the $n$'th digit of the result as single precision shift of $a_n$ plus -the previous carry. Recall from section 4.1 that $a_n << 1$ is equivalent to $a_n \cdot 2$. An iteration of the addition loop is finished with -forwarding the carry to the next iteration. - -Step 7 takes care of any final carry by setting the $a.used$'th digit of the result to the carry and augmenting the \textbf{used} count of $b$. -Step 8 clears any leading digits of $b$ in case it originally had a larger magnitude than $a$. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_mul\_2.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This implementation is essentially an optimized implementation of s\_mp\_add for the case of doubling an input. The only noteworthy difference -is the use of the logical shift operator on line 52 to perform a single precision doubling. - -\subsection{Division by Two} -A division by two can just as easily be accomplished with a logical shift right as multiplication by two can be with a logical shift left. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_div\_2}. \\ -\textbf{Input}. One mp\_int $a$ \\ -\textbf{Output}. $b = a/2$. \\ -\hline \\ -1. If $b.alloc < a.used$ then grow $b$ to hold $a.used$ digits. (\textit{mp\_grow}) \\ -2. If the reallocation failed return(\textit{MP\_MEM}). \\ -3. $oldused \leftarrow b.used$ \\ -4. $b.used \leftarrow a.used$ \\ -5. $r \leftarrow 0$ \\ -6. for $n$ from $b.used - 1$ to $0$ do \\ -\hspace{3mm}6.1 $rr \leftarrow a_n \mbox{ (mod }2\mbox{)}$\\ -\hspace{3mm}6.2 $b_n \leftarrow (a_n >> 1) + (r << (lg(\beta) - 1)) \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}6.3 $r \leftarrow rr$ \\ -7. If $b.used < oldused - 1$ then do \\ -\hspace{3mm}7.1 for $n$ from $b.used$ to $oldused - 1$ do \\ -\hspace{6mm}7.1.1 $b_n \leftarrow 0$ \\ -8. $b.sign \leftarrow a.sign$ \\ -9. Clamp excess digits of $b$. (\textit{mp\_clamp}) \\ -10. Return(\textit{MP\_OKAY}).\\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_div\_2} -\end{figure} - -\textbf{Algorithm mp\_div\_2.} -This algorithm will divide an mp\_int by two using logical shifts to the right. Like mp\_mul\_2 it uses a modified low level addition -core as the basis of the algorithm. Unlike mp\_mul\_2 the shift operations work from the leading digit to the trailing digit. The algorithm -could be written to work from the trailing digit to the leading digit however, it would have to stop one short of $a.used - 1$ digits to prevent -reading past the end of the array of digits. - -Essentially the loop at step 6 is similar to that of mp\_mul\_2 except the logical shifts go in the opposite direction and the carry is at the -least significant bit not the most significant bit. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_div\_2.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\section{Polynomial Basis Operations} -Recall from section 4.3 that any integer can be represented as a polynomial in $x$ as $y = f(\beta)$. Such a representation is also known as -the polynomial basis \cite[pp. 48]{ROSE}. Given such a notation a multiplication or division by $x$ amounts to shifting whole digits a single -place. The need for such operations arises in several other higher level algorithms such as Barrett and Montgomery reduction, integer -division and Karatsuba multiplication. - -Converting from an array of digits to polynomial basis is very simple. Consider the integer $y \equiv (a_2, a_1, a_0)_{\beta}$ and recall that -$y = \sum_{i=0}^{2} a_i \beta^i$. Simply replace $\beta$ with $x$ and the expression is in polynomial basis. For example, $f(x) = 8x + 9$ is the -polynomial basis representation for $89$ using radix ten. That is, $f(10) = 8(10) + 9 = 89$. - -\subsection{Multiplication by $x$} - -Given a polynomial in $x$ such as $f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_0$ multiplying by $x$ amounts to shifting the coefficients up one -degree. In this case $f(x) \cdot x = a_n x^{n+1} + a_{n-1} x^n + ... + a_0 x$. From a scalar basis point of view multiplying by $x$ is equivalent to -multiplying by the integer $\beta$. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_lshd}. \\ -\textbf{Input}. One mp\_int $a$ and an integer $b$ \\ -\textbf{Output}. $a \leftarrow a \cdot \beta^b$ (equivalent to multiplication by $x^b$). \\ -\hline \\ -1. If $b \le 0$ then return(\textit{MP\_OKAY}). \\ -2. If $a.alloc < a.used + b$ then grow $a$ to at least $a.used + b$ digits. (\textit{mp\_grow}). \\ -3. If the reallocation failed return(\textit{MP\_MEM}). \\ -4. $a.used \leftarrow a.used + b$ \\ -5. $i \leftarrow a.used - 1$ \\ -6. $j \leftarrow a.used - 1 - b$ \\ -7. for $n$ from $a.used - 1$ to $b$ do \\ -\hspace{3mm}7.1 $a_{i} \leftarrow a_{j}$ \\ -\hspace{3mm}7.2 $i \leftarrow i - 1$ \\ -\hspace{3mm}7.3 $j \leftarrow j - 1$ \\ -8. for $n$ from 0 to $b - 1$ do \\ -\hspace{3mm}8.1 $a_n \leftarrow 0$ \\ -9. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_lshd} -\end{figure} - -\textbf{Algorithm mp\_lshd.} -This algorithm multiplies an mp\_int by the $b$'th power of $x$. This is equivalent to multiplying by $\beta^b$. The algorithm differs -from the other algorithms presented so far as it performs the operation in place instead storing the result in a separate location. The -motivation behind this change is due to the way this function is typically used. Algorithms such as mp\_add store the result in an optionally -different third mp\_int because the original inputs are often still required. Algorithm mp\_lshd (\textit{and similarly algorithm mp\_rshd}) is -typically used on values where the original value is no longer required. The algorithm will return success immediately if -$b \le 0$ since the rest of algorithm is only valid when $b > 0$. - -First the destination $a$ is grown as required to accomodate the result. The counters $i$ and $j$ are used to form a \textit{sliding window} over -the digits of $a$ of length $b$. The head of the sliding window is at $i$ (\textit{the leading digit}) and the tail at $j$ (\textit{the trailing digit}). -The loop on step 7 copies the digit from the tail to the head. In each iteration the window is moved down one digit. The last loop on -step 8 sets the lower $b$ digits to zero. - -\newpage -\begin{center} -\begin{figure}[here] -\includegraphics{pics/sliding_window.ps} -\caption{Sliding Window Movement} -\label{pic:sliding_window} -\end{figure} -\end{center} - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_lshd.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The if statement (line 24) ensures that the $b$ variable is greater than zero since we do not interpret negative -shift counts properly. The \textbf{used} count is incremented by $b$ before the copy loop begins. This elminates -the need for an additional variable in the for loop. The variable $top$ (line 42) is an alias -for the leading digit while $bottom$ (line 45) is an alias for the trailing edge. The aliases form a -window of exactly $b$ digits over the input. - -\subsection{Division by $x$} - -Division by powers of $x$ is easily achieved by shifting the digits right and removing any that will end up to the right of the zero'th digit. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_rshd}. \\ -\textbf{Input}. One mp\_int $a$ and an integer $b$ \\ -\textbf{Output}. $a \leftarrow a / \beta^b$ (Divide by $x^b$). \\ -\hline \\ -1. If $b \le 0$ then return. \\ -2. If $a.used \le b$ then do \\ -\hspace{3mm}2.1 Zero $a$. (\textit{mp\_zero}). \\ -\hspace{3mm}2.2 Return. \\ -3. $i \leftarrow 0$ \\ -4. $j \leftarrow b$ \\ -5. for $n$ from 0 to $a.used - b - 1$ do \\ -\hspace{3mm}5.1 $a_i \leftarrow a_j$ \\ -\hspace{3mm}5.2 $i \leftarrow i + 1$ \\ -\hspace{3mm}5.3 $j \leftarrow j + 1$ \\ -6. for $n$ from $a.used - b$ to $a.used - 1$ do \\ -\hspace{3mm}6.1 $a_n \leftarrow 0$ \\ -7. $a.used \leftarrow a.used - b$ \\ -8. Return. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_rshd} -\end{figure} - -\textbf{Algorithm mp\_rshd.} -This algorithm divides the input in place by the $b$'th power of $x$. It is analogous to dividing by a $\beta^b$ but much quicker since -it does not require single precision division. This algorithm does not actually return an error code as it cannot fail. - -If the input $b$ is less than one the algorithm quickly returns without performing any work. If the \textbf{used} count is less than or equal -to the shift count $b$ then it will simply zero the input and return. - -After the trivial cases of inputs have been handled the sliding window is setup. Much like the case of algorithm mp\_lshd a sliding window that -is $b$ digits wide is used to copy the digits. Unlike mp\_lshd the window slides in the opposite direction from the trailing to the leading digit. -Also the digits are copied from the leading to the trailing edge. - -Once the window copy is complete the upper digits must be zeroed and the \textbf{used} count decremented. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_rshd.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The only noteworthy element of this routine is the lack of a return type since it cannot fail. Like mp\_lshd() we -form a sliding window except we copy in the other direction. After the window (line 60) we then zero -the upper digits of the input to make sure the result is correct. - -\section{Powers of Two} - -Now that algorithms for moving single bits as well as whole digits exist algorithms for moving the ``in between'' distances are required. For -example, to quickly multiply by $2^k$ for any $k$ without using a full multiplier algorithm would prove useful. Instead of performing single -shifts $k$ times to achieve a multiplication by $2^{\pm k}$ a mixture of whole digit shifting and partial digit shifting is employed. - -\subsection{Multiplication by Power of Two} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_mul\_2d}. \\ -\textbf{Input}. One mp\_int $a$ and an integer $b$ \\ -\textbf{Output}. $c \leftarrow a \cdot 2^b$. \\ -\hline \\ -1. $c \leftarrow a$. (\textit{mp\_copy}) \\ -2. If $c.alloc < c.used + \lfloor b / lg(\beta) \rfloor + 2$ then grow $c$ accordingly. \\ -3. If the reallocation failed return(\textit{MP\_MEM}). \\ -4. If $b \ge lg(\beta)$ then \\ -\hspace{3mm}4.1 $c \leftarrow c \cdot \beta^{\lfloor b / lg(\beta) \rfloor}$ (\textit{mp\_lshd}). \\ -\hspace{3mm}4.2 If step 4.1 failed return(\textit{MP\_MEM}). \\ -5. $d \leftarrow b \mbox{ (mod }lg(\beta)\mbox{)}$ \\ -6. If $d \ne 0$ then do \\ -\hspace{3mm}6.1 $mask \leftarrow 2^d$ \\ -\hspace{3mm}6.2 $r \leftarrow 0$ \\ -\hspace{3mm}6.3 for $n$ from $0$ to $c.used - 1$ do \\ -\hspace{6mm}6.3.1 $rr \leftarrow c_n >> (lg(\beta) - d) \mbox{ (mod }mask\mbox{)}$ \\ -\hspace{6mm}6.3.2 $c_n \leftarrow (c_n << d) + r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{6mm}6.3.3 $r \leftarrow rr$ \\ -\hspace{3mm}6.4 If $r > 0$ then do \\ -\hspace{6mm}6.4.1 $c_{c.used} \leftarrow r$ \\ -\hspace{6mm}6.4.2 $c.used \leftarrow c.used + 1$ \\ -7. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_mul\_2d} -\end{figure} - -\textbf{Algorithm mp\_mul\_2d.} -This algorithm multiplies $a$ by $2^b$ and stores the result in $c$. The algorithm uses algorithm mp\_lshd and a derivative of algorithm mp\_mul\_2 to -quickly compute the product. - -First the algorithm will multiply $a$ by $x^{\lfloor b / lg(\beta) \rfloor}$ which will ensure that the remainder multiplicand is less than -$\beta$. For example, if $b = 37$ and $\beta = 2^{28}$ then this step will multiply by $x$ leaving a multiplication by $2^{37 - 28} = 2^{9}$ -left. - -After the digits have been shifted appropriately at most $lg(\beta) - 1$ shifts are left to perform. Step 5 calculates the number of remaining shifts -required. If it is non-zero a modified shift loop is used to calculate the remaining product. -Essentially the loop is a generic version of algorithm mp\_mul\_2 designed to handle any shift count in the range $1 \le x < lg(\beta)$. The $mask$ -variable is used to extract the upper $d$ bits to form the carry for the next iteration. - -This algorithm is loosely measured as a $O(2n)$ algorithm which means that if the input is $n$-digits that it takes $2n$ ``time'' to -complete. It is possible to optimize this algorithm down to a $O(n)$ algorithm at a cost of making the algorithm slightly harder to follow. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_mul\_2d.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The shifting is performed in--place which means the first step (line 25) is to copy the input to the -destination. We avoid calling mp\_copy() by making sure the mp\_ints are different. The destination then -has to be grown (line 32) to accomodate the result. - -If the shift count $b$ is larger than $lg(\beta)$ then a call to mp\_lshd() is used to handle all of the multiples -of $lg(\beta)$. Leaving only a remaining shift of $lg(\beta) - 1$ or fewer bits left. Inside the actual shift -loop (lines 46 to 76) we make use of pre--computed values $shift$ and $mask$. These are used to -extract the carry bit(s) to pass into the next iteration of the loop. The $r$ and $rr$ variables form a -chain between consecutive iterations to propagate the carry. - -\subsection{Division by Power of Two} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_div\_2d}. \\ -\textbf{Input}. One mp\_int $a$ and an integer $b$ \\ -\textbf{Output}. $c \leftarrow \lfloor a / 2^b \rfloor, d \leftarrow a \mbox{ (mod }2^b\mbox{)}$. \\ -\hline \\ -1. If $b \le 0$ then do \\ -\hspace{3mm}1.1 $c \leftarrow a$ (\textit{mp\_copy}) \\ -\hspace{3mm}1.2 $d \leftarrow 0$ (\textit{mp\_zero}) \\ -\hspace{3mm}1.3 Return(\textit{MP\_OKAY}). \\ -2. $c \leftarrow a$ \\ -3. $d \leftarrow a \mbox{ (mod }2^b\mbox{)}$ (\textit{mp\_mod\_2d}) \\ -4. If $b \ge lg(\beta)$ then do \\ -\hspace{3mm}4.1 $c \leftarrow \lfloor c/\beta^{\lfloor b/lg(\beta) \rfloor} \rfloor$ (\textit{mp\_rshd}). \\ -5. $k \leftarrow b \mbox{ (mod }lg(\beta)\mbox{)}$ \\ -6. If $k \ne 0$ then do \\ -\hspace{3mm}6.1 $mask \leftarrow 2^k$ \\ -\hspace{3mm}6.2 $r \leftarrow 0$ \\ -\hspace{3mm}6.3 for $n$ from $c.used - 1$ to $0$ do \\ -\hspace{6mm}6.3.1 $rr \leftarrow c_n \mbox{ (mod }mask\mbox{)}$ \\ -\hspace{6mm}6.3.2 $c_n \leftarrow (c_n >> k) + (r << (lg(\beta) - k))$ \\ -\hspace{6mm}6.3.3 $r \leftarrow rr$ \\ -7. Clamp excess digits of $c$. (\textit{mp\_clamp}) \\ -8. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_div\_2d} -\end{figure} - -\textbf{Algorithm mp\_div\_2d.} -This algorithm will divide an input $a$ by $2^b$ and produce the quotient and remainder. The algorithm is designed much like algorithm -mp\_mul\_2d by first using whole digit shifts then single precision shifts. This algorithm will also produce the remainder of the division -by using algorithm mp\_mod\_2d. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_div\_2d.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The implementation of algorithm mp\_div\_2d is slightly different than the algorithm specifies. The remainder $d$ may be optionally -ignored by passing \textbf{NULL} as the pointer to the mp\_int variable. The temporary mp\_int variable $t$ is used to hold the -result of the remainder operation until the end. This allows $d$ and $a$ to represent the same mp\_int without modifying $a$ before -the quotient is obtained. - -The remainder of the source code is essentially the same as the source code for mp\_mul\_2d. The only significant difference is -the direction of the shifts. - -\subsection{Remainder of Division by Power of Two} - -The last algorithm in the series of polynomial basis power of two algorithms is calculating the remainder of division by $2^b$. This -algorithm benefits from the fact that in twos complement arithmetic $a \mbox{ (mod }2^b\mbox{)}$ is the same as $a$ AND $2^b - 1$. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_mod\_2d}. \\ -\textbf{Input}. One mp\_int $a$ and an integer $b$ \\ -\textbf{Output}. $c \leftarrow a \mbox{ (mod }2^b\mbox{)}$. \\ -\hline \\ -1. If $b \le 0$ then do \\ -\hspace{3mm}1.1 $c \leftarrow 0$ (\textit{mp\_zero}) \\ -\hspace{3mm}1.2 Return(\textit{MP\_OKAY}). \\ -2. If $b > a.used \cdot lg(\beta)$ then do \\ -\hspace{3mm}2.1 $c \leftarrow a$ (\textit{mp\_copy}) \\ -\hspace{3mm}2.2 Return the result of step 2.1. \\ -3. $c \leftarrow a$ \\ -4. If step 3 failed return(\textit{MP\_MEM}). \\ -5. for $n$ from $\lceil b / lg(\beta) \rceil$ to $c.used$ do \\ -\hspace{3mm}5.1 $c_n \leftarrow 0$ \\ -6. $k \leftarrow b \mbox{ (mod }lg(\beta)\mbox{)}$ \\ -7. $c_{\lfloor b / lg(\beta) \rfloor} \leftarrow c_{\lfloor b / lg(\beta) \rfloor} \mbox{ (mod }2^{k}\mbox{)}$. \\ -8. Clamp excess digits of $c$. (\textit{mp\_clamp}) \\ -9. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_mod\_2d} -\end{figure} - -\textbf{Algorithm mp\_mod\_2d.} -This algorithm will quickly calculate the value of $a \mbox{ (mod }2^b\mbox{)}$. First if $b$ is less than or equal to zero the -result is set to zero. If $b$ is greater than the number of bits in $a$ then it simply copies $a$ to $c$ and returns. Otherwise, $a$ -is copied to $b$, leading digits are removed and the remaining leading digit is trimed to the exact bit count. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_mod\_2d.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -We first avoid cases of $b \le 0$ by simply mp\_zero()'ing the destination in such cases. Next if $2^b$ is larger -than the input we just mp\_copy() the input and return right away. After this point we know we must actually -perform some work to produce the remainder. - -Recalling that reducing modulo $2^k$ and a binary ``and'' with $2^k - 1$ are numerically equivalent we can quickly reduce -the number. First we zero any digits above the last digit in $2^b$ (line 42). Next we reduce the -leading digit of both (line 46) and then mp\_clamp(). - -\section*{Exercises} -\begin{tabular}{cl} -$\left [ 3 \right ] $ & Devise an algorithm that performs $a \cdot 2^b$ for generic values of $b$ \\ - & in $O(n)$ time. \\ - &\\ -$\left [ 3 \right ] $ & Devise an efficient algorithm to multiply by small low hamming \\ - & weight values such as $3$, $5$ and $9$. Extend it to handle all values \\ - & upto $64$ with a hamming weight less than three. \\ - &\\ -$\left [ 2 \right ] $ & Modify the preceding algorithm to handle values of the form \\ - & $2^k - 1$ as well. \\ - &\\ -$\left [ 3 \right ] $ & Using only algorithms mp\_mul\_2, mp\_div\_2 and mp\_add create an \\ - & algorithm to multiply two integers in roughly $O(2n^2)$ time for \\ - & any $n$-bit input. Note that the time of addition is ignored in the \\ - & calculation. \\ - & \\ -$\left [ 5 \right ] $ & Improve the previous algorithm to have a working time of at most \\ - & $O \left (2^{(k-1)}n + \left ({2n^2 \over k} \right ) \right )$ for an appropriate choice of $k$. Again ignore \\ - & the cost of addition. \\ - & \\ -$\left [ 2 \right ] $ & Devise a chart to find optimal values of $k$ for the previous problem \\ - & for $n = 64 \ldots 1024$ in steps of $64$. \\ - & \\ -$\left [ 2 \right ] $ & Using only algorithms mp\_abs and mp\_sub devise another method for \\ - & calculating the result of a signed comparison. \\ - & -\end{tabular} - -\chapter{Multiplication and Squaring} -\section{The Multipliers} -For most number theoretic problems including certain public key cryptographic algorithms, the ``multipliers'' form the most important subset of -algorithms of any multiple precision integer package. The set of multiplier algorithms include integer multiplication, squaring and modular reduction -where in each of the algorithms single precision multiplication is the dominant operation performed. This chapter will discuss integer multiplication -and squaring, leaving modular reductions for the subsequent chapter. - -The importance of the multiplier algorithms is for the most part driven by the fact that certain popular public key algorithms are based on modular -exponentiation, that is computing $d \equiv a^b \mbox{ (mod }c\mbox{)}$ for some arbitrary choice of $a$, $b$, $c$ and $d$. During a modular -exponentiation the majority\footnote{Roughly speaking a modular exponentiation will spend about 40\% of the time performing modular reductions, -35\% of the time performing squaring and 25\% of the time performing multiplications.} of the processor time is spent performing single precision -multiplications. - -For centuries general purpose multiplication has required a lengthly $O(n^2)$ process, whereby each digit of one multiplicand has to be multiplied -against every digit of the other multiplicand. Traditional long-hand multiplication is based on this process; while the techniques can differ the -overall algorithm used is essentially the same. Only ``recently'' have faster algorithms been studied. First Karatsuba multiplication was discovered in -1962. This algorithm can multiply two numbers with considerably fewer single precision multiplications when compared to the long-hand approach. -This technique led to the discovery of polynomial basis algorithms (\textit{good reference?}) and subquently Fourier Transform based solutions. - -\section{Multiplication} -\subsection{The Baseline Multiplication} -\label{sec:basemult} -\index{baseline multiplication} -Computing the product of two integers in software can be achieved using a trivial adaptation of the standard $O(n^2)$ long-hand multiplication -algorithm that school children are taught. The algorithm is considered an $O(n^2)$ algorithm since for two $n$-digit inputs $n^2$ single precision -multiplications are required. More specifically for a $m$ and $n$ digit input $m \cdot n$ single precision multiplications are required. To -simplify most discussions, it will be assumed that the inputs have comparable number of digits. - -The ``baseline multiplication'' algorithm is designed to act as the ``catch-all'' algorithm, only to be used when the faster algorithms cannot be -used. This algorithm does not use any particularly interesting optimizations and should ideally be avoided if possible. One important -facet of this algorithm, is that it has been modified to only produce a certain amount of output digits as resolution. The importance of this -modification will become evident during the discussion of Barrett modular reduction. Recall that for a $n$ and $m$ digit input the product -will be at most $n + m$ digits. Therefore, this algorithm can be reduced to a full multiplier by having it produce $n + m$ digits of the product. - -Recall from sub-section 4.2.2 the definition of $\gamma$ as the number of bits in the type \textbf{mp\_digit}. We shall now extend the variable set to -include $\alpha$ which shall represent the number of bits in the type \textbf{mp\_word}. This implies that $2^{\alpha} > 2 \cdot \beta^2$. The -constant $\delta = 2^{\alpha - 2lg(\beta)}$ will represent the maximal weight of any column in a product (\textit{see sub-section 5.2.2 for more information}). - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{s\_mp\_mul\_digs}. \\ -\textbf{Input}. mp\_int $a$, mp\_int $b$ and an integer $digs$ \\ -\textbf{Output}. $c \leftarrow \vert a \vert \cdot \vert b \vert \mbox{ (mod }\beta^{digs}\mbox{)}$. \\ -\hline \\ -1. If min$(a.used, b.used) < \delta$ then do \\ -\hspace{3mm}1.1 Calculate $c = \vert a \vert \cdot \vert b \vert$ by the Comba method (\textit{see algorithm~\ref{fig:COMBAMULT}}). \\ -\hspace{3mm}1.2 Return the result of step 1.1 \\ -\\ -Allocate and initialize a temporary mp\_int. \\ -2. Init $t$ to be of size $digs$ \\ -3. If step 2 failed return(\textit{MP\_MEM}). \\ -4. $t.used \leftarrow digs$ \\ -\\ -Compute the product. \\ -5. for $ix$ from $0$ to $a.used - 1$ do \\ -\hspace{3mm}5.1 $u \leftarrow 0$ \\ -\hspace{3mm}5.2 $pb \leftarrow \mbox{min}(b.used, digs - ix)$ \\ -\hspace{3mm}5.3 If $pb < 1$ then goto step 6. \\ -\hspace{3mm}5.4 for $iy$ from $0$ to $pb - 1$ do \\ -\hspace{6mm}5.4.1 $\hat r \leftarrow t_{iy + ix} + a_{ix} \cdot b_{iy} + u$ \\ -\hspace{6mm}5.4.2 $t_{iy + ix} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{6mm}5.4.3 $u \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -\hspace{3mm}5.5 if $ix + pb < digs$ then do \\ -\hspace{6mm}5.5.1 $t_{ix + pb} \leftarrow u$ \\ -6. Clamp excess digits of $t$. \\ -7. Swap $c$ with $t$ \\ -8. Clear $t$ \\ -9. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm s\_mp\_mul\_digs} -\end{figure} - -\textbf{Algorithm s\_mp\_mul\_digs.} -This algorithm computes the unsigned product of two inputs $a$ and $b$, limited to an output precision of $digs$ digits. While it may seem -a bit awkward to modify the function from its simple $O(n^2)$ description, the usefulness of partial multipliers will arise in a subsequent -algorithm. The algorithm is loosely based on algorithm 14.12 from \cite[pp. 595]{HAC} and is similar to Algorithm M of Knuth \cite[pp. 268]{TAOCPV2}. -Algorithm s\_mp\_mul\_digs differs from these cited references since it can produce a variable output precision regardless of the precision of the -inputs. - -The first thing this algorithm checks for is whether a Comba multiplier can be used instead. If the minimum digit count of either -input is less than $\delta$, then the Comba method may be used instead. After the Comba method is ruled out, the baseline algorithm begins. A -temporary mp\_int variable $t$ is used to hold the intermediate result of the product. This allows the algorithm to be used to -compute products when either $a = c$ or $b = c$ without overwriting the inputs. - -All of step 5 is the infamous $O(n^2)$ multiplication loop slightly modified to only produce upto $digs$ digits of output. The $pb$ variable -is given the count of digits to read from $b$ inside the nested loop. If $pb \le 1$ then no more output digits can be produced and the algorithm -will exit the loop. The best way to think of the loops are as a series of $pb \times 1$ multiplications. That is, in each pass of the -innermost loop $a_{ix}$ is multiplied against $b$ and the result is added (\textit{with an appropriate shift}) to $t$. - -For example, consider multiplying $576$ by $241$. That is equivalent to computing $10^0(1)(576) + 10^1(4)(576) + 10^2(2)(576)$ which is best -visualized in the following table. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{|c|c|c|c|c|c|l|} -\hline && & 5 & 7 & 6 & \\ -\hline $\times$&& & 2 & 4 & 1 & \\ -\hline &&&&&&\\ - && & 5 & 7 & 6 & $10^0(1)(576)$ \\ - &2 & 3 & 6 & 1 & 6 & $10^1(4)(576) + 10^0(1)(576)$ \\ - 1 & 3 & 8 & 8 & 1 & 6 & $10^2(2)(576) + 10^1(4)(576) + 10^0(1)(576)$ \\ -\hline -\end{tabular} -\end{center} -\caption{Long-Hand Multiplication Diagram} -\end{figure} - -Each row of the product is added to the result after being shifted to the left (\textit{multiplied by a power of the radix}) by the appropriate -count. That is in pass $ix$ of the inner loop the product is added starting at the $ix$'th digit of the reult. - -Step 5.4.1 introduces the hat symbol (\textit{e.g. $\hat r$}) which represents a double precision variable. The multiplication on that step -is assumed to be a double wide output single precision multiplication. That is, two single precision variables are multiplied to produce a -double precision result. The step is somewhat optimized from a long-hand multiplication algorithm because the carry from the addition in step -5.4.1 is propagated through the nested loop. If the carry was not propagated immediately it would overflow the single precision digit -$t_{ix+iy}$ and the result would be lost. - -At step 5.5 the nested loop is finished and any carry that was left over should be forwarded. The carry does not have to be added to the $ix+pb$'th -digit since that digit is assumed to be zero at this point. However, if $ix + pb \ge digs$ the carry is not set as it would make the result -exceed the precision requested. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_s\_mp\_mul\_digs.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -First we determine (line 31) if the Comba method can be used first since it's faster. The conditions for -sing the Comba routine are that min$(a.used, b.used) < \delta$ and the number of digits of output is less than -\textbf{MP\_WARRAY}. This new constant is used to control the stack usage in the Comba routines. By default it is -set to $\delta$ but can be reduced when memory is at a premium. - -If we cannot use the Comba method we proceed to setup the baseline routine. We allocate the the destination mp\_int -$t$ (line 37) to the exact size of the output to avoid further re--allocations. At this point we now -begin the $O(n^2)$ loop. - -This implementation of multiplication has the caveat that it can be trimmed to only produce a variable number of -digits as output. In each iteration of the outer loop the $pb$ variable is set (line 49) to the maximum -number of inner loop iterations. - -Inside the inner loop we calculate $\hat r$ as the mp\_word product of the two mp\_digits and the addition of the -carry from the previous iteration. A particularly important observation is that most modern optimizing -C compilers (GCC for instance) can recognize that a $N \times N \rightarrow 2N$ multiplication is all that -is required for the product. In x86 terms for example, this means using the MUL instruction. - -Each digit of the product is stored in turn (line 69) and the carry propagated (line 72) to the -next iteration. - -\subsection{Faster Multiplication by the ``Comba'' Method} - -One of the huge drawbacks of the ``baseline'' algorithms is that at the $O(n^2)$ level the carry must be -computed and propagated upwards. This makes the nested loop very sequential and hard to unroll and implement -in parallel. The ``Comba'' \cite{COMBA} method is named after little known (\textit{in cryptographic venues}) Paul G. -Comba who described a method of implementing fast multipliers that do not require nested carry fixup operations. As an -interesting aside it seems that Paul Barrett describes a similar technique in his 1986 paper \cite{BARRETT} written -five years before. - -At the heart of the Comba technique is once again the long-hand algorithm. Except in this case a slight -twist is placed on how the columns of the result are produced. In the standard long-hand algorithm rows of products -are produced then added together to form the final result. In the baseline algorithm the columns are added together -after each iteration to get the result instantaneously. - -In the Comba algorithm the columns of the result are produced entirely independently of each other. That is at -the $O(n^2)$ level a simple multiplication and addition step is performed. The carries of the columns are propagated -after the nested loop to reduce the amount of work requiored. Succintly the first step of the algorithm is to compute -the product vector $\vec x$ as follows. - -\begin{equation} -\vec x_n = \sum_{i+j = n} a_ib_j, \forall n \in \lbrace 0, 1, 2, \ldots, i + j \rbrace -\end{equation} - -Where $\vec x_n$ is the $n'th$ column of the output vector. Consider the following example which computes the vector $\vec x$ for the multiplication -of $576$ and $241$. - -\newpage\begin{figure}[here] -\begin{small} -\begin{center} -\begin{tabular}{|c|c|c|c|c|c|} - \hline & & 5 & 7 & 6 & First Input\\ - \hline $\times$ & & 2 & 4 & 1 & Second Input\\ -\hline & & $1 \cdot 5 = 5$ & $1 \cdot 7 = 7$ & $1 \cdot 6 = 6$ & First pass \\ - & $4 \cdot 5 = 20$ & $4 \cdot 7+5=33$ & $4 \cdot 6+7=31$ & 6 & Second pass \\ - $2 \cdot 5 = 10$ & $2 \cdot 7 + 20 = 34$ & $2 \cdot 6+33=45$ & 31 & 6 & Third pass \\ -\hline 10 & 34 & 45 & 31 & 6 & Final Result \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Comba Multiplication Diagram} -\end{figure} - -At this point the vector $x = \left < 10, 34, 45, 31, 6 \right >$ is the result of the first step of the Comba multipler. -Now the columns must be fixed by propagating the carry upwards. The resultant vector will have one extra dimension over the input vector which is -congruent to adding a leading zero digit. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Comba Fixup}. \\ -\textbf{Input}. Vector $\vec x$ of dimension $k$ \\ -\textbf{Output}. Vector $\vec x$ such that the carries have been propagated. \\ -\hline \\ -1. for $n$ from $0$ to $k - 1$ do \\ -\hspace{3mm}1.1 $\vec x_{n+1} \leftarrow \vec x_{n+1} + \lfloor \vec x_{n}/\beta \rfloor$ \\ -\hspace{3mm}1.2 $\vec x_{n} \leftarrow \vec x_{n} \mbox{ (mod }\beta\mbox{)}$ \\ -2. Return($\vec x$). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Comba Fixup} -\end{figure} - -With that algorithm and $k = 5$ and $\beta = 10$ the following vector is produced $\vec x= \left < 1, 3, 8, 8, 1, 6 \right >$. In this case -$241 \cdot 576$ is in fact $138816$ and the procedure succeeded. If the algorithm is correct and as will be demonstrated shortly more -efficient than the baseline algorithm why not simply always use this algorithm? - -\subsubsection{Column Weight.} -At the nested $O(n^2)$ level the Comba method adds the product of two single precision variables to each column of the output -independently. A serious obstacle is if the carry is lost, due to lack of precision before the algorithm has a chance to fix -the carries. For example, in the multiplication of two three-digit numbers the third column of output will be the sum of -three single precision multiplications. If the precision of the accumulator for the output digits is less then $3 \cdot (\beta - 1)^2$ then -an overflow can occur and the carry information will be lost. For any $m$ and $n$ digit inputs the maximum weight of any column is -min$(m, n)$ which is fairly obvious. - -The maximum number of terms in any column of a product is known as the ``column weight'' and strictly governs when the algorithm can be used. Recall -from earlier that a double precision type has $\alpha$ bits of resolution and a single precision digit has $lg(\beta)$ bits of precision. Given these -two quantities we must not violate the following - -\begin{equation} -k \cdot \left (\beta - 1 \right )^2 < 2^{\alpha} -\end{equation} - -Which reduces to - -\begin{equation} -k \cdot \left ( \beta^2 - 2\beta + 1 \right ) < 2^{\alpha} -\end{equation} - -Let $\rho = lg(\beta)$ represent the number of bits in a single precision digit. By further re-arrangement of the equation the final solution is -found. - -\begin{equation} -k < {{2^{\alpha}} \over {\left (2^{2\rho} - 2^{\rho + 1} + 1 \right )}} -\end{equation} - -The defaults for LibTomMath are $\beta = 2^{28}$ and $\alpha = 2^{64}$ which means that $k$ is bounded by $k < 257$. In this configuration -the smaller input may not have more than $256$ digits if the Comba method is to be used. This is quite satisfactory for most applications since -$256$ digits would allow for numbers in the range of $0 \le x < 2^{7168}$ which, is much larger than most public key cryptographic algorithms require. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{fast\_s\_mp\_mul\_digs}. \\ -\textbf{Input}. mp\_int $a$, mp\_int $b$ and an integer $digs$ \\ -\textbf{Output}. $c \leftarrow \vert a \vert \cdot \vert b \vert \mbox{ (mod }\beta^{digs}\mbox{)}$. \\ -\hline \\ -Place an array of \textbf{MP\_WARRAY} single precision digits named $W$ on the stack. \\ -1. If $c.alloc < digs$ then grow $c$ to $digs$ digits. (\textit{mp\_grow}) \\ -2. If step 1 failed return(\textit{MP\_MEM}).\\ -\\ -3. $pa \leftarrow \mbox{MIN}(digs, a.used + b.used)$ \\ -\\ -4. $\_ \hat W \leftarrow 0$ \\ -5. for $ix$ from 0 to $pa - 1$ do \\ -\hspace{3mm}5.1 $ty \leftarrow \mbox{MIN}(b.used - 1, ix)$ \\ -\hspace{3mm}5.2 $tx \leftarrow ix - ty$ \\ -\hspace{3mm}5.3 $iy \leftarrow \mbox{MIN}(a.used - tx, ty + 1)$ \\ -\hspace{3mm}5.4 for $iz$ from 0 to $iy - 1$ do \\ -\hspace{6mm}5.4.1 $\_ \hat W \leftarrow \_ \hat W + a_{tx+iy}b_{ty-iy}$ \\ -\hspace{3mm}5.5 $W_{ix} \leftarrow \_ \hat W (\mbox{mod }\beta)$\\ -\hspace{3mm}5.6 $\_ \hat W \leftarrow \lfloor \_ \hat W / \beta \rfloor$ \\ -\\ -6. $oldused \leftarrow c.used$ \\ -7. $c.used \leftarrow digs$ \\ -8. for $ix$ from $0$ to $pa$ do \\ -\hspace{3mm}8.1 $c_{ix} \leftarrow W_{ix}$ \\ -9. for $ix$ from $pa + 1$ to $oldused - 1$ do \\ -\hspace{3mm}9.1 $c_{ix} \leftarrow 0$ \\ -\\ -10. Clamp $c$. \\ -11. Return MP\_OKAY. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm fast\_s\_mp\_mul\_digs} -\label{fig:COMBAMULT} -\end{figure} - -\textbf{Algorithm fast\_s\_mp\_mul\_digs.} -This algorithm performs the unsigned multiplication of $a$ and $b$ using the Comba method limited to $digs$ digits of precision. - -The outer loop of this algorithm is more complicated than that of the baseline multiplier. This is because on the inside of the -loop we want to produce one column per pass. This allows the accumulator $\_ \hat W$ to be placed in CPU registers and -reduce the memory bandwidth to two \textbf{mp\_digit} reads per iteration. - -The $ty$ variable is set to the minimum count of $ix$ or the number of digits in $b$. That way if $a$ has more digits than -$b$ this will be limited to $b.used - 1$. The $tx$ variable is set to the to the distance past $b.used$ the variable -$ix$ is. This is used for the immediately subsequent statement where we find $iy$. - -The variable $iy$ is the minimum digits we can read from either $a$ or $b$ before running out. Computing one column at a time -means we have to scan one integer upwards and the other downwards. $a$ starts at $tx$ and $b$ starts at $ty$. In each -pass we are producing the $ix$'th output column and we note that $tx + ty = ix$. As we move $tx$ upwards we have to -move $ty$ downards so the equality remains valid. The $iy$ variable is the number of iterations until -$tx \ge a.used$ or $ty < 0$ occurs. - -After every inner pass we store the lower half of the accumulator into $W_{ix}$ and then propagate the carry of the accumulator -into the next round by dividing $\_ \hat W$ by $\beta$. - -To measure the benefits of the Comba method over the baseline method consider the number of operations that are required. If the -cost in terms of time of a multiply and addition is $p$ and the cost of a carry propagation is $q$ then a baseline multiplication would require -$O \left ((p + q)n^2 \right )$ time to multiply two $n$-digit numbers. The Comba method requires only $O(pn^2 + qn)$ time, however in practice, -the speed increase is actually much more. With $O(n)$ space the algorithm can be reduced to $O(pn + qn)$ time by implementing the $n$ multiply -and addition operations in the nested loop in parallel. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_fast\_s\_mp\_mul\_digs.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -As per the pseudo--code we first calculate $pa$ (line 48) as the number of digits to output. Next we begin the outer loop -to produce the individual columns of the product. We use the two aliases $tmpx$ and $tmpy$ (lines 62, 63) to point -inside the two multiplicands quickly. - -The inner loop (lines 71 to 74) of this implementation is where the tradeoff come into play. Originally this comba -implementation was ``row--major'' which means it adds to each of the columns in each pass. After the outer loop it would then fix -the carries. This was very fast except it had an annoying drawback. You had to read a mp\_word and two mp\_digits and write -one mp\_word per iteration. On processors such as the Athlon XP and P4 this did not matter much since the cache bandwidth -is very high and it can keep the ALU fed with data. It did, however, matter on older and embedded cpus where cache is often -slower and also often doesn't exist. This new algorithm only performs two reads per iteration under the assumption that the -compiler has aliased $\_ \hat W$ to a CPU register. - -After the inner loop we store the current accumulator in $W$ and shift $\_ \hat W$ (lines 77, 80) to forward it as -a carry for the next pass. After the outer loop we use the final carry (line 77) as the last digit of the product. - -\subsection{Polynomial Basis Multiplication} -To break the $O(n^2)$ barrier in multiplication requires a completely different look at integer multiplication. In the following algorithms -the use of polynomial basis representation for two integers $a$ and $b$ as $f(x) = \sum_{i=0}^{n} a_i x^i$ and -$g(x) = \sum_{i=0}^{n} b_i x^i$ respectively, is required. In this system both $f(x)$ and $g(x)$ have $n + 1$ terms and are of the $n$'th degree. - -The product $a \cdot b \equiv f(x)g(x)$ is the polynomial $W(x) = \sum_{i=0}^{2n} w_i x^i$. The coefficients $w_i$ will -directly yield the desired product when $\beta$ is substituted for $x$. The direct solution to solve for the $2n + 1$ coefficients -requires $O(n^2)$ time and would in practice be slower than the Comba technique. - -However, numerical analysis theory indicates that only $2n + 1$ distinct points in $W(x)$ are required to determine the values of the $2n + 1$ unknown -coefficients. This means by finding $\zeta_y = W(y)$ for $2n + 1$ small values of $y$ the coefficients of $W(x)$ can be found with -Gaussian elimination. This technique is also occasionally refered to as the \textit{interpolation technique} (\textit{references please...}) since in -effect an interpolation based on $2n + 1$ points will yield a polynomial equivalent to $W(x)$. - -The coefficients of the polynomial $W(x)$ are unknown which makes finding $W(y)$ for any value of $y$ impossible. However, since -$W(x) = f(x)g(x)$ the equivalent $\zeta_y = f(y) g(y)$ can be used in its place. The benefit of this technique stems from the -fact that $f(y)$ and $g(y)$ are much smaller than either $a$ or $b$ respectively. As a result finding the $2n + 1$ relations required -by multiplying $f(y)g(y)$ involves multiplying integers that are much smaller than either of the inputs. - -When picking points to gather relations there are always three obvious points to choose, $y = 0, 1$ and $ \infty$. The $\zeta_0$ term -is simply the product $W(0) = w_0 = a_0 \cdot b_0$. The $\zeta_1$ term is the product -$W(1) = \left (\sum_{i = 0}^{n} a_i \right ) \left (\sum_{i = 0}^{n} b_i \right )$. The third point $\zeta_{\infty}$ is less obvious but rather -simple to explain. The $2n + 1$'th coefficient of $W(x)$ is numerically equivalent to the most significant column in an integer multiplication. -The point at $\infty$ is used symbolically to represent the most significant column, that is $W(\infty) = w_{2n} = a_nb_n$. Note that the -points at $y = 0$ and $\infty$ yield the coefficients $w_0$ and $w_{2n}$ directly. - -If more points are required they should be of small values and powers of two such as $2^q$ and the related \textit{mirror points} -$\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ for small values of $q$. The term ``mirror point'' stems from the fact that -$\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ can be calculated in the exact opposite fashion as $\zeta_{2^q}$. For -example, when $n = 2$ and $q = 1$ then following two equations are equivalent to the point $\zeta_{2}$ and its mirror. - -\begin{eqnarray} -\zeta_{2} = f(2)g(2) = (4a_2 + 2a_1 + a_0)(4b_2 + 2b_1 + b_0) \nonumber \\ -16 \cdot \zeta_{1 \over 2} = 4f({1\over 2}) \cdot 4g({1 \over 2}) = (a_2 + 2a_1 + 4a_0)(b_2 + 2b_1 + 4b_0) -\end{eqnarray} - -Using such points will allow the values of $f(y)$ and $g(y)$ to be independently calculated using only left shifts. For example, when $n = 2$ the -polynomial $f(2^q)$ is equal to $2^q((2^qa_2) + a_1) + a_0$. This technique of polynomial representation is known as Horner's method. - -As a general rule of the algorithm when the inputs are split into $n$ parts each there are $2n - 1$ multiplications. Each multiplication is of -multiplicands that have $n$ times fewer digits than the inputs. The asymptotic running time of this algorithm is -$O \left ( k^{lg_n(2n - 1)} \right )$ for $k$ digit inputs (\textit{assuming they have the same number of digits}). Figure~\ref{fig:exponent} -summarizes the exponents for various values of $n$. - -\begin{figure} -\begin{center} -\begin{tabular}{|c|c|c|} -\hline \textbf{Split into $n$ Parts} & \textbf{Exponent} & \textbf{Notes}\\ -\hline $2$ & $1.584962501$ & This is Karatsuba Multiplication. \\ -\hline $3$ & $1.464973520$ & This is Toom-Cook Multiplication. \\ -\hline $4$ & $1.403677461$ &\\ -\hline $5$ & $1.365212389$ &\\ -\hline $10$ & $1.278753601$ &\\ -\hline $100$ & $1.149426538$ &\\ -\hline $1000$ & $1.100270931$ &\\ -\hline $10000$ & $1.075252070$ &\\ -\hline -\end{tabular} -\end{center} -\caption{Asymptotic Running Time of Polynomial Basis Multiplication} -\label{fig:exponent} -\end{figure} - -At first it may seem like a good idea to choose $n = 1000$ since the exponent is approximately $1.1$. However, the overhead -of solving for the 2001 terms of $W(x)$ will certainly consume any savings the algorithm could offer for all but exceedingly large -numbers. - -\subsubsection{Cutoff Point} -The polynomial basis multiplication algorithms all require fewer single precision multiplications than a straight Comba approach. However, -the algorithms incur an overhead (\textit{at the $O(n)$ work level}) since they require a system of equations to be solved. This makes the -polynomial basis approach more costly to use with small inputs. - -Let $m$ represent the number of digits in the multiplicands (\textit{assume both multiplicands have the same number of digits}). There exists a -point $y$ such that when $m < y$ the polynomial basis algorithms are more costly than Comba, when $m = y$ they are roughly the same cost and -when $m > y$ the Comba methods are slower than the polynomial basis algorithms. - -The exact location of $y$ depends on several key architectural elements of the computer platform in question. - -\begin{enumerate} -\item The ratio of clock cycles for single precision multiplication versus other simpler operations such as addition, shifting, etc. For example -on the AMD Athlon the ratio is roughly $17 : 1$ while on the Intel P4 it is $29 : 1$. The higher the ratio in favour of multiplication the lower -the cutoff point $y$ will be. - -\item The complexity of the linear system of equations (\textit{for the coefficients of $W(x)$}) is. Generally speaking as the number of splits -grows the complexity grows substantially. Ideally solving the system will only involve addition, subtraction and shifting of integers. This -directly reflects on the ratio previous mentioned. - -\item To a lesser extent memory bandwidth and function call overheads. Provided the values are in the processor cache this is less of an -influence over the cutoff point. - -\end{enumerate} - -A clean cutoff point separation occurs when a point $y$ is found such that all of the cutoff point conditions are met. For example, if the point -is too low then there will be values of $m$ such that $m > y$ and the Comba method is still faster. Finding the cutoff points is fairly simple when -a high resolution timer is available. - -\subsection{Karatsuba Multiplication} -Karatsuba \cite{KARA} multiplication when originally proposed in 1962 was among the first set of algorithms to break the $O(n^2)$ barrier for -general purpose multiplication. Given two polynomial basis representations $f(x) = ax + b$ and $g(x) = cx + d$, Karatsuba proved with -light algebra \cite{KARAP} that the following polynomial is equivalent to multiplication of the two integers the polynomials represent. - -\begin{equation} -f(x) \cdot g(x) = acx^2 + ((a + b)(c + d) - (ac + bd))x + bd -\end{equation} - -Using the observation that $ac$ and $bd$ could be re-used only three half sized multiplications would be required to produce the product. Applying -this algorithm recursively, the work factor becomes $O(n^{lg(3)})$ which is substantially better than the work factor $O(n^2)$ of the Comba technique. It turns -out what Karatsuba did not know or at least did not publish was that this is simply polynomial basis multiplication with the points -$\zeta_0$, $\zeta_{\infty}$ and $\zeta_{1}$. Consider the resultant system of equations. - -\begin{center} -\begin{tabular}{rcrcrcrc} -$\zeta_{0}$ & $=$ & & & & & $w_0$ \\ -$\zeta_{1}$ & $=$ & $w_2$ & $+$ & $w_1$ & $+$ & $w_0$ \\ -$\zeta_{\infty}$ & $=$ & $w_2$ & & & & \\ -\end{tabular} -\end{center} - -By adding the first and last equation to the equation in the middle the term $w_1$ can be isolated and all three coefficients solved for. The simplicity -of this system of equations has made Karatsuba fairly popular. In fact the cutoff point is often fairly low\footnote{With LibTomMath 0.18 it is 70 and 109 digits for the Intel P4 and AMD Athlon respectively.} -making it an ideal algorithm to speed up certain public key cryptosystems such as RSA and Diffie-Hellman. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_karatsuba\_mul}. \\ -\textbf{Input}. mp\_int $a$ and mp\_int $b$ \\ -\textbf{Output}. $c \leftarrow \vert a \vert \cdot \vert b \vert$ \\ -\hline \\ -1. Init the following mp\_int variables: $x0$, $x1$, $y0$, $y1$, $t1$, $x0y0$, $x1y1$.\\ -2. If step 2 failed then return(\textit{MP\_MEM}). \\ -\\ -Split the input. e.g. $a = x1 \cdot \beta^B + x0$ \\ -3. $B \leftarrow \mbox{min}(a.used, b.used)/2$ \\ -4. $x0 \leftarrow a \mbox{ (mod }\beta^B\mbox{)}$ (\textit{mp\_mod\_2d}) \\ -5. $y0 \leftarrow b \mbox{ (mod }\beta^B\mbox{)}$ \\ -6. $x1 \leftarrow \lfloor a / \beta^B \rfloor$ (\textit{mp\_rshd}) \\ -7. $y1 \leftarrow \lfloor b / \beta^B \rfloor$ \\ -\\ -Calculate the three products. \\ -8. $x0y0 \leftarrow x0 \cdot y0$ (\textit{mp\_mul}) \\ -9. $x1y1 \leftarrow x1 \cdot y1$ \\ -10. $t1 \leftarrow x1 + x0$ (\textit{mp\_add}) \\ -11. $x0 \leftarrow y1 + y0$ \\ -12. $t1 \leftarrow t1 \cdot x0$ \\ -\\ -Calculate the middle term. \\ -13. $x0 \leftarrow x0y0 + x1y1$ \\ -14. $t1 \leftarrow t1 - x0$ (\textit{s\_mp\_sub}) \\ -\\ -Calculate the final product. \\ -15. $t1 \leftarrow t1 \cdot \beta^B$ (\textit{mp\_lshd}) \\ -16. $x1y1 \leftarrow x1y1 \cdot \beta^{2B}$ \\ -17. $t1 \leftarrow x0y0 + t1$ \\ -18. $c \leftarrow t1 + x1y1$ \\ -19. Clear all of the temporary variables. \\ -20. Return(\textit{MP\_OKAY}).\\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_karatsuba\_mul} -\end{figure} - -\textbf{Algorithm mp\_karatsuba\_mul.} -This algorithm computes the unsigned product of two inputs using the Karatsuba multiplication algorithm. It is loosely based on the description -from Knuth \cite[pp. 294-295]{TAOCPV2}. - -\index{radix point} -In order to split the two inputs into their respective halves, a suitable \textit{radix point} must be chosen. The radix point chosen must -be used for both of the inputs meaning that it must be smaller than the smallest input. Step 3 chooses the radix point $B$ as half of the -smallest input \textbf{used} count. After the radix point is chosen the inputs are split into lower and upper halves. Step 4 and 5 -compute the lower halves. Step 6 and 7 computer the upper halves. - -After the halves have been computed the three intermediate half-size products must be computed. Step 8 and 9 compute the trivial products -$x0 \cdot y0$ and $x1 \cdot y1$. The mp\_int $x0$ is used as a temporary variable after $x1 + x0$ has been computed. By using $x0$ instead -of an additional temporary variable, the algorithm can avoid an addition memory allocation operation. - -The remaining steps 13 through 18 compute the Karatsuba polynomial through a variety of digit shifting and addition operations. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_karatsuba\_mul.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The new coding element in this routine, not seen in previous routines, is the usage of goto statements. The conventional -wisdom is that goto statements should be avoided. This is generally true, however when every single function call can fail, it makes sense -to handle error recovery with a single piece of code. Lines 62 to 76 handle initializing all of the temporary variables -required. Note how each of the if statements goes to a different label in case of failure. This allows the routine to correctly free only -the temporaries that have been successfully allocated so far. - -The temporary variables are all initialized using the mp\_init\_size routine since they are expected to be large. This saves the -additional reallocation that would have been necessary. Also $x0$, $x1$, $y0$ and $y1$ have to be able to hold at least their respective -number of digits for the next section of code. - -The first algebraic portion of the algorithm is to split the two inputs into their halves. However, instead of using mp\_mod\_2d and mp\_rshd -to extract the halves, the respective code has been placed inline within the body of the function. To initialize the halves, the \textbf{used} and -\textbf{sign} members are copied first. The first for loop on line 96 copies the lower halves. Since they are both the same magnitude it -is simpler to calculate both lower halves in a single loop. The for loop on lines 102 and 107 calculate the upper halves $x1$ and -$y1$ respectively. - -By inlining the calculation of the halves, the Karatsuba multiplier has a slightly lower overhead and can be used for smaller magnitude inputs. - -When line 151 is reached, the algorithm has completed succesfully. The ``error status'' variable $err$ is set to \textbf{MP\_OKAY} so that -the same code that handles errors can be used to clear the temporary variables and return. - -\subsection{Toom-Cook $3$-Way Multiplication} -Toom-Cook $3$-Way \cite{TOOM} multiplication is essentially the polynomial basis algorithm for $n = 2$ except that the points are -chosen such that $\zeta$ is easy to compute and the resulting system of equations easy to reduce. Here, the points $\zeta_{0}$, -$16 \cdot \zeta_{1 \over 2}$, $\zeta_1$, $\zeta_2$ and $\zeta_{\infty}$ make up the five required points to solve for the coefficients -of the $W(x)$. - -With the five relations that Toom-Cook specifies, the following system of equations is formed. - -\begin{center} -\begin{tabular}{rcrcrcrcrcr} -$\zeta_0$ & $=$ & $0w_4$ & $+$ & $0w_3$ & $+$ & $0w_2$ & $+$ & $0w_1$ & $+$ & $1w_0$ \\ -$16 \cdot \zeta_{1 \over 2}$ & $=$ & $1w_4$ & $+$ & $2w_3$ & $+$ & $4w_2$ & $+$ & $8w_1$ & $+$ & $16w_0$ \\ -$\zeta_1$ & $=$ & $1w_4$ & $+$ & $1w_3$ & $+$ & $1w_2$ & $+$ & $1w_1$ & $+$ & $1w_0$ \\ -$\zeta_2$ & $=$ & $16w_4$ & $+$ & $8w_3$ & $+$ & $4w_2$ & $+$ & $2w_1$ & $+$ & $1w_0$ \\ -$\zeta_{\infty}$ & $=$ & $1w_4$ & $+$ & $0w_3$ & $+$ & $0w_2$ & $+$ & $0w_1$ & $+$ & $0w_0$ \\ -\end{tabular} -\end{center} - -A trivial solution to this matrix requires $12$ subtractions, two multiplications by a small power of two, two divisions by a small power -of two, two divisions by three and one multiplication by three. All of these $19$ sub-operations require less than quadratic time, meaning that -the algorithm can be faster than a baseline multiplication. However, the greater complexity of this algorithm places the cutoff point -(\textbf{TOOM\_MUL\_CUTOFF}) where Toom-Cook becomes more efficient much higher than the Karatsuba cutoff point. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_toom\_mul}. \\ -\textbf{Input}. mp\_int $a$ and mp\_int $b$ \\ -\textbf{Output}. $c \leftarrow a \cdot b $ \\ -\hline \\ -Split $a$ and $b$ into three pieces. E.g. $a = a_2 \beta^{2k} + a_1 \beta^{k} + a_0$ \\ -1. $k \leftarrow \lfloor \mbox{min}(a.used, b.used) / 3 \rfloor$ \\ -2. $a_0 \leftarrow a \mbox{ (mod }\beta^{k}\mbox{)}$ \\ -3. $a_1 \leftarrow \lfloor a / \beta^k \rfloor$, $a_1 \leftarrow a_1 \mbox{ (mod }\beta^{k}\mbox{)}$ \\ -4. $a_2 \leftarrow \lfloor a / \beta^{2k} \rfloor$, $a_2 \leftarrow a_2 \mbox{ (mod }\beta^{k}\mbox{)}$ \\ -5. $b_0 \leftarrow a \mbox{ (mod }\beta^{k}\mbox{)}$ \\ -6. $b_1 \leftarrow \lfloor a / \beta^k \rfloor$, $b_1 \leftarrow b_1 \mbox{ (mod }\beta^{k}\mbox{)}$ \\ -7. $b_2 \leftarrow \lfloor a / \beta^{2k} \rfloor$, $b_2 \leftarrow b_2 \mbox{ (mod }\beta^{k}\mbox{)}$ \\ -\\ -Find the five equations for $w_0, w_1, ..., w_4$. \\ -8. $w_0 \leftarrow a_0 \cdot b_0$ \\ -9. $w_4 \leftarrow a_2 \cdot b_2$ \\ -10. $tmp_1 \leftarrow 2 \cdot a_0$, $tmp_1 \leftarrow a_1 + tmp_1$, $tmp_1 \leftarrow 2 \cdot tmp_1$, $tmp_1 \leftarrow tmp_1 + a_2$ \\ -11. $tmp_2 \leftarrow 2 \cdot b_0$, $tmp_2 \leftarrow b_1 + tmp_2$, $tmp_2 \leftarrow 2 \cdot tmp_2$, $tmp_2 \leftarrow tmp_2 + b_2$ \\ -12. $w_1 \leftarrow tmp_1 \cdot tmp_2$ \\ -13. $tmp_1 \leftarrow 2 \cdot a_2$, $tmp_1 \leftarrow a_1 + tmp_1$, $tmp_1 \leftarrow 2 \cdot tmp_1$, $tmp_1 \leftarrow tmp_1 + a_0$ \\ -14. $tmp_2 \leftarrow 2 \cdot b_2$, $tmp_2 \leftarrow b_1 + tmp_2$, $tmp_2 \leftarrow 2 \cdot tmp_2$, $tmp_2 \leftarrow tmp_2 + b_0$ \\ -15. $w_3 \leftarrow tmp_1 \cdot tmp_2$ \\ -16. $tmp_1 \leftarrow a_0 + a_1$, $tmp_1 \leftarrow tmp_1 + a_2$, $tmp_2 \leftarrow b_0 + b_1$, $tmp_2 \leftarrow tmp_2 + b_2$ \\ -17. $w_2 \leftarrow tmp_1 \cdot tmp_2$ \\ -\\ -Continued on the next page.\\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_toom\_mul} -\end{figure} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_toom\_mul} (continued). \\ -\textbf{Input}. mp\_int $a$ and mp\_int $b$ \\ -\textbf{Output}. $c \leftarrow a \cdot b $ \\ -\hline \\ -Now solve the system of equations. \\ -18. $w_1 \leftarrow w_4 - w_1$, $w_3 \leftarrow w_3 - w_0$ \\ -19. $w_1 \leftarrow \lfloor w_1 / 2 \rfloor$, $w_3 \leftarrow \lfloor w_3 / 2 \rfloor$ \\ -20. $w_2 \leftarrow w_2 - w_0$, $w_2 \leftarrow w_2 - w_4$ \\ -21. $w_1 \leftarrow w_1 - w_2$, $w_3 \leftarrow w_3 - w_2$ \\ -22. $tmp_1 \leftarrow 8 \cdot w_0$, $w_1 \leftarrow w_1 - tmp_1$, $tmp_1 \leftarrow 8 \cdot w_4$, $w_3 \leftarrow w_3 - tmp_1$ \\ -23. $w_2 \leftarrow 3 \cdot w_2$, $w_2 \leftarrow w_2 - w_1$, $w_2 \leftarrow w_2 - w_3$ \\ -24. $w_1 \leftarrow w_1 - w_2$, $w_3 \leftarrow w_3 - w_2$ \\ -25. $w_1 \leftarrow \lfloor w_1 / 3 \rfloor, w_3 \leftarrow \lfloor w_3 / 3 \rfloor$ \\ -\\ -Now substitute $\beta^k$ for $x$ by shifting $w_0, w_1, ..., w_4$. \\ -26. for $n$ from $1$ to $4$ do \\ -\hspace{3mm}26.1 $w_n \leftarrow w_n \cdot \beta^{nk}$ \\ -27. $c \leftarrow w_0 + w_1$, $c \leftarrow c + w_2$, $c \leftarrow c + w_3$, $c \leftarrow c + w_4$ \\ -28. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_toom\_mul (continued)} -\end{figure} - -\textbf{Algorithm mp\_toom\_mul.} -This algorithm computes the product of two mp\_int variables $a$ and $b$ using the Toom-Cook approach. Compared to the Karatsuba multiplication, this -algorithm has a lower asymptotic running time of approximately $O(n^{1.464})$ but at an obvious cost in overhead. In this -description, several statements have been compounded to save space. The intention is that the statements are executed from left to right across -any given step. - -The two inputs $a$ and $b$ are first split into three $k$-digit integers $a_0, a_1, a_2$ and $b_0, b_1, b_2$ respectively. From these smaller -integers the coefficients of the polynomial basis representations $f(x)$ and $g(x)$ are known and can be used to find the relations required. - -The first two relations $w_0$ and $w_4$ are the points $\zeta_{0}$ and $\zeta_{\infty}$ respectively. The relation $w_1, w_2$ and $w_3$ correspond -to the points $16 \cdot \zeta_{1 \over 2}, \zeta_{2}$ and $\zeta_{1}$ respectively. These are found using logical shifts to independently find -$f(y)$ and $g(y)$ which significantly speeds up the algorithm. - -After the five relations $w_0, w_1, \ldots, w_4$ have been computed, the system they represent must be solved in order for the unknown coefficients -$w_1, w_2$ and $w_3$ to be isolated. The steps 18 through 25 perform the system reduction required as previously described. Each step of -the reduction represents the comparable matrix operation that would be performed had this been performed by pencil. For example, step 18 indicates -that row $1$ must be subtracted from row $4$ and simultaneously row $0$ subtracted from row $3$. - -Once the coeffients have been isolated, the polynomial $W(x) = \sum_{i=0}^{2n} w_i x^i$ is known. By substituting $\beta^{k}$ for $x$, the integer -result $a \cdot b$ is produced. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_toom\_mul.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The first obvious thing to note is that this algorithm is complicated. The complexity is worth it if you are multiplying very -large numbers. For example, a 10,000 digit multiplication takes approximaly 99,282,205 fewer single precision multiplications with -Toom--Cook than a Comba or baseline approach (this is a savings of more than 99$\%$). For most ``crypto'' sized numbers this -algorithm is not practical as Karatsuba has a much lower cutoff point. - -First we split $a$ and $b$ into three roughly equal portions. This has been accomplished (lines 41 to 70) with -combinations of mp\_rshd() and mp\_mod\_2d() function calls. At this point $a = a2 \cdot \beta^2 + a1 \cdot \beta + a0$ and similiarly -for $b$. - -Next we compute the five points $w0, w1, w2, w3$ and $w4$. Recall that $w0$ and $w4$ can be computed directly from the portions so -we get those out of the way first (lines 73 and 78). Next we compute $w1, w2$ and $w3$ using Horners method. - -After this point we solve for the actual values of $w1, w2$ and $w3$ by reducing the $5 \times 5$ system which is relatively -straight forward. - -\subsection{Signed Multiplication} -Now that algorithms to handle multiplications of every useful dimensions have been developed, a rather simple finishing touch is required. So far all -of the multiplication algorithms have been unsigned multiplications which leaves only a signed multiplication algorithm to be established. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_mul}. \\ -\textbf{Input}. mp\_int $a$ and mp\_int $b$ \\ -\textbf{Output}. $c \leftarrow a \cdot b$ \\ -\hline \\ -1. If $a.sign = b.sign$ then \\ -\hspace{3mm}1.1 $sign = MP\_ZPOS$ \\ -2. else \\ -\hspace{3mm}2.1 $sign = MP\_ZNEG$ \\ -3. If min$(a.used, b.used) \ge TOOM\_MUL\_CUTOFF$ then \\ -\hspace{3mm}3.1 $c \leftarrow a \cdot b$ using algorithm mp\_toom\_mul \\ -4. else if min$(a.used, b.used) \ge KARATSUBA\_MUL\_CUTOFF$ then \\ -\hspace{3mm}4.1 $c \leftarrow a \cdot b$ using algorithm mp\_karatsuba\_mul \\ -5. else \\ -\hspace{3mm}5.1 $digs \leftarrow a.used + b.used + 1$ \\ -\hspace{3mm}5.2 If $digs < MP\_ARRAY$ and min$(a.used, b.used) \le \delta$ then \\ -\hspace{6mm}5.2.1 $c \leftarrow a \cdot b \mbox{ (mod }\beta^{digs}\mbox{)}$ using algorithm fast\_s\_mp\_mul\_digs. \\ -\hspace{3mm}5.3 else \\ -\hspace{6mm}5.3.1 $c \leftarrow a \cdot b \mbox{ (mod }\beta^{digs}\mbox{)}$ using algorithm s\_mp\_mul\_digs. \\ -6. $c.sign \leftarrow sign$ \\ -7. Return the result of the unsigned multiplication performed. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_mul} -\end{figure} - -\textbf{Algorithm mp\_mul.} -This algorithm performs the signed multiplication of two inputs. It will make use of any of the three unsigned multiplication algorithms -available when the input is of appropriate size. The \textbf{sign} of the result is not set until the end of the algorithm since algorithm -s\_mp\_mul\_digs will clear it. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_mul.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The implementation is rather simplistic and is not particularly noteworthy. Line 22 computes the sign of the result using the ``?'' -operator from the C programming language. Line 48 computes $\delta$ using the fact that $1 << k$ is equal to $2^k$. - -\section{Squaring} -\label{sec:basesquare} - -Squaring is a special case of multiplication where both multiplicands are equal. At first it may seem like there is no significant optimization -available but in fact there is. Consider the multiplication of $576$ against $241$. In total there will be nine single precision multiplications -performed which are $1\cdot 6$, $1 \cdot 7$, $1 \cdot 5$, $4 \cdot 6$, $4 \cdot 7$, $4 \cdot 5$, $2 \cdot 6$, $2 \cdot 7$ and $2 \cdot 5$. Now consider -the multiplication of $123$ against $123$. The nine products are $3 \cdot 3$, $3 \cdot 2$, $3 \cdot 1$, $2 \cdot 3$, $2 \cdot 2$, $2 \cdot 1$, -$1 \cdot 3$, $1 \cdot 2$ and $1 \cdot 1$. On closer inspection some of the products are equivalent. For example, $3 \cdot 2 = 2 \cdot 3$ -and $3 \cdot 1 = 1 \cdot 3$. - -For any $n$-digit input, there are ${{\left (n^2 + n \right)}\over 2}$ possible unique single precision multiplications required compared to the $n^2$ -required for multiplication. The following diagram gives an example of the operations required. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{ccccc|c} -&&1&2&3&\\ -$\times$ &&1&2&3&\\ -\hline && $3 \cdot 1$ & $3 \cdot 2$ & $3 \cdot 3$ & Row 0\\ - & $2 \cdot 1$ & $2 \cdot 2$ & $2 \cdot 3$ && Row 1 \\ - $1 \cdot 1$ & $1 \cdot 2$ & $1 \cdot 3$ &&& Row 2 \\ -\end{tabular} -\end{center} -\caption{Squaring Optimization Diagram} -\end{figure} - -Starting from zero and numbering the columns from right to left a very simple pattern becomes obvious. For the purposes of this discussion let $x$ -represent the number being squared. The first observation is that in row $k$ the $2k$'th column of the product has a $\left (x_k \right)^2$ term in it. - -The second observation is that every column $j$ in row $k$ where $j \ne 2k$ is part of a double product. Every non-square term of a column will -appear twice hence the name ``double product''. Every odd column is made up entirely of double products. In fact every column is made up of double -products and at most one square (\textit{see the exercise section}). - -The third and final observation is that for row $k$ the first unique non-square term, that is, one that hasn't already appeared in an earlier row, -occurs at column $2k + 1$. For example, on row $1$ of the previous squaring, column one is part of the double product with column one from row zero. -Column two of row one is a square and column three is the first unique column. - -\subsection{The Baseline Squaring Algorithm} -The baseline squaring algorithm is meant to be a catch-all squaring algorithm. It will handle any of the input sizes that the faster routines -will not handle. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{s\_mp\_sqr}. \\ -\textbf{Input}. mp\_int $a$ \\ -\textbf{Output}. $b \leftarrow a^2$ \\ -\hline \\ -1. Init a temporary mp\_int of at least $2 \cdot a.used +1$ digits. (\textit{mp\_init\_size}) \\ -2. If step 1 failed return(\textit{MP\_MEM}) \\ -3. $t.used \leftarrow 2 \cdot a.used + 1$ \\ -4. For $ix$ from 0 to $a.used - 1$ do \\ -\hspace{3mm}Calculate the square. \\ -\hspace{3mm}4.1 $\hat r \leftarrow t_{2ix} + \left (a_{ix} \right )^2$ \\ -\hspace{3mm}4.2 $t_{2ix} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}Calculate the double products after the square. \\ -\hspace{3mm}4.3 $u \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -\hspace{3mm}4.4 For $iy$ from $ix + 1$ to $a.used - 1$ do \\ -\hspace{6mm}4.4.1 $\hat r \leftarrow 2 \cdot a_{ix}a_{iy} + t_{ix + iy} + u$ \\ -\hspace{6mm}4.4.2 $t_{ix + iy} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{6mm}4.4.3 $u \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -\hspace{3mm}Set the last carry. \\ -\hspace{3mm}4.5 While $u > 0$ do \\ -\hspace{6mm}4.5.1 $iy \leftarrow iy + 1$ \\ -\hspace{6mm}4.5.2 $\hat r \leftarrow t_{ix + iy} + u$ \\ -\hspace{6mm}4.5.3 $t_{ix + iy} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{6mm}4.5.4 $u \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -5. Clamp excess digits of $t$. (\textit{mp\_clamp}) \\ -6. Exchange $b$ and $t$. \\ -7. Clear $t$ (\textit{mp\_clear}) \\ -8. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm s\_mp\_sqr} -\end{figure} - -\textbf{Algorithm s\_mp\_sqr.} -This algorithm computes the square of an input using the three observations on squaring. It is based fairly faithfully on algorithm 14.16 of HAC -\cite[pp.596-597]{HAC}. Similar to algorithm s\_mp\_mul\_digs, a temporary mp\_int is allocated to hold the result of the squaring. This allows the -destination mp\_int to be the same as the source mp\_int. - -The outer loop of this algorithm begins on step 4. It is best to think of the outer loop as walking down the rows of the partial results, while -the inner loop computes the columns of the partial result. Step 4.1 and 4.2 compute the square term for each row, and step 4.3 and 4.4 propagate -the carry and compute the double products. - -The requirement that a mp\_word be able to represent the range $0 \le x < 2 \beta^2$ arises from this -very algorithm. The product $a_{ix}a_{iy}$ will lie in the range $0 \le x \le \beta^2 - 2\beta + 1$ which is obviously less than $\beta^2$ meaning that -when it is multiplied by two, it can be properly represented by a mp\_word. - -Similar to algorithm s\_mp\_mul\_digs, after every pass of the inner loop, the destination is correctly set to the sum of all of the partial -results calculated so far. This involves expensive carry propagation which will be eliminated in the next algorithm. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_s\_mp\_sqr.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Inside the outer loop (line 34) the square term is calculated on line 37. The carry (line 44) has been -extracted from the mp\_word accumulator using a right shift. Aliases for $a_{ix}$ and $t_{ix+iy}$ are initialized -(lines 47 and 50) to simplify the inner loop. The doubling is performed using two -additions (line 59) since it is usually faster than shifting, if not at least as fast. - -The important observation is that the inner loop does not begin at $iy = 0$ like for multiplication. As such the inner loops -get progressively shorter as the algorithm proceeds. This is what leads to the savings compared to using a multiplication to -square a number. - -\subsection{Faster Squaring by the ``Comba'' Method} -A major drawback to the baseline method is the requirement for single precision shifting inside the $O(n^2)$ nested loop. Squaring has an additional -drawback that it must double the product inside the inner loop as well. As for multiplication, the Comba technique can be used to eliminate these -performance hazards. - -The first obvious solution is to make an array of mp\_words which will hold all of the columns. This will indeed eliminate all of the carry -propagation operations from the inner loop. However, the inner product must still be doubled $O(n^2)$ times. The solution stems from the simple fact -that $2a + 2b + 2c = 2(a + b + c)$. That is the sum of all of the double products is equal to double the sum of all the products. For example, -$ab + ba + ac + ca = 2ab + 2ac = 2(ab + ac)$. - -However, we cannot simply double all of the columns, since the squares appear only once per row. The most practical solution is to have two -mp\_word arrays. One array will hold the squares and the other array will hold the double products. With both arrays the doubling and -carry propagation can be moved to a $O(n)$ work level outside the $O(n^2)$ level. In this case, we have an even simpler solution in mind. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{fast\_s\_mp\_sqr}. \\ -\textbf{Input}. mp\_int $a$ \\ -\textbf{Output}. $b \leftarrow a^2$ \\ -\hline \\ -Place an array of \textbf{MP\_WARRAY} mp\_digits named $W$ on the stack. \\ -1. If $b.alloc < 2a.used + 1$ then grow $b$ to $2a.used + 1$ digits. (\textit{mp\_grow}). \\ -2. If step 1 failed return(\textit{MP\_MEM}). \\ -\\ -3. $pa \leftarrow 2 \cdot a.used$ \\ -4. $\hat W1 \leftarrow 0$ \\ -5. for $ix$ from $0$ to $pa - 1$ do \\ -\hspace{3mm}5.1 $\_ \hat W \leftarrow 0$ \\ -\hspace{3mm}5.2 $ty \leftarrow \mbox{MIN}(a.used - 1, ix)$ \\ -\hspace{3mm}5.3 $tx \leftarrow ix - ty$ \\ -\hspace{3mm}5.4 $iy \leftarrow \mbox{MIN}(a.used - tx, ty + 1)$ \\ -\hspace{3mm}5.5 $iy \leftarrow \mbox{MIN}(iy, \lfloor \left (ty - tx + 1 \right )/2 \rfloor)$ \\ -\hspace{3mm}5.6 for $iz$ from $0$ to $iz - 1$ do \\ -\hspace{6mm}5.6.1 $\_ \hat W \leftarrow \_ \hat W + a_{tx + iz}a_{ty - iz}$ \\ -\hspace{3mm}5.7 $\_ \hat W \leftarrow 2 \cdot \_ \hat W + \hat W1$ \\ -\hspace{3mm}5.8 if $ix$ is even then \\ -\hspace{6mm}5.8.1 $\_ \hat W \leftarrow \_ \hat W + \left ( a_{\lfloor ix/2 \rfloor}\right )^2$ \\ -\hspace{3mm}5.9 $W_{ix} \leftarrow \_ \hat W (\mbox{mod }\beta)$ \\ -\hspace{3mm}5.10 $\hat W1 \leftarrow \lfloor \_ \hat W / \beta \rfloor$ \\ -\\ -6. $oldused \leftarrow b.used$ \\ -7. $b.used \leftarrow 2 \cdot a.used$ \\ -8. for $ix$ from $0$ to $pa - 1$ do \\ -\hspace{3mm}8.1 $b_{ix} \leftarrow W_{ix}$ \\ -9. for $ix$ from $pa$ to $oldused - 1$ do \\ -\hspace{3mm}9.1 $b_{ix} \leftarrow 0$ \\ -10. Clamp excess digits from $b$. (\textit{mp\_clamp}) \\ -11. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm fast\_s\_mp\_sqr} -\end{figure} - -\textbf{Algorithm fast\_s\_mp\_sqr.} -This algorithm computes the square of an input using the Comba technique. It is designed to be a replacement for algorithm -s\_mp\_sqr when the number of input digits is less than \textbf{MP\_WARRAY} and less than $\delta \over 2$. -This algorithm is very similar to the Comba multiplier except with a few key differences we shall make note of. - -First, we have an accumulator and carry variables $\_ \hat W$ and $\hat W1$ respectively. This is because the inner loop -products are to be doubled. If we had added the previous carry in we would be doubling too much. Next we perform an -addition MIN condition on $iy$ (step 5.5) to prevent overlapping digits. For example, $a_3 \cdot a_5$ is equal -$a_5 \cdot a_3$. Whereas in the multiplication case we would have $5 < a.used$ and $3 \ge 0$ is maintained since we double the sum -of the products just outside the inner loop we have to avoid doing this. This is also a good thing since we perform -fewer multiplications and the routine ends up being faster. - -Finally the last difference is the addition of the ``square'' term outside the inner loop (step 5.8). We add in the square -only to even outputs and it is the square of the term at the $\lfloor ix / 2 \rfloor$ position. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_fast\_s\_mp\_sqr.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This implementation is essentially a copy of Comba multiplication with the appropriate changes added to make it faster for -the special case of squaring. - -\subsection{Polynomial Basis Squaring} -The same algorithm that performs optimal polynomial basis multiplication can be used to perform polynomial basis squaring. The minor exception -is that $\zeta_y = f(y)g(y)$ is actually equivalent to $\zeta_y = f(y)^2$ since $f(y) = g(y)$. Instead of performing $2n + 1$ -multiplications to find the $\zeta$ relations, squaring operations are performed instead. - -\subsection{Karatsuba Squaring} -Let $f(x) = ax + b$ represent the polynomial basis representation of a number to square. -Let $h(x) = \left ( f(x) \right )^2$ represent the square of the polynomial. The Karatsuba equation can be modified to square a -number with the following equation. - -\begin{equation} -h(x) = a^2x^2 + \left ((a + b)^2 - (a^2 + b^2) \right )x + b^2 -\end{equation} - -Upon closer inspection this equation only requires the calculation of three half-sized squares: $a^2$, $b^2$ and $(a + b)^2$. As in -Karatsuba multiplication, this algorithm can be applied recursively on the input and will achieve an asymptotic running time of -$O \left ( n^{lg(3)} \right )$. - -If the asymptotic times of Karatsuba squaring and multiplication are the same, why not simply use the multiplication algorithm -instead? The answer to this arises from the cutoff point for squaring. As in multiplication there exists a cutoff point, at which the -time required for a Comba based squaring and a Karatsuba based squaring meet. Due to the overhead inherent in the Karatsuba method, the cutoff -point is fairly high. For example, on an AMD Athlon XP processor with $\beta = 2^{28}$, the cutoff point is around 127 digits. - -Consider squaring a 200 digit number with this technique. It will be split into two 100 digit halves which are subsequently squared. -The 100 digit halves will not be squared using Karatsuba, but instead using the faster Comba based squaring algorithm. If Karatsuba multiplication -were used instead, the 100 digit numbers would be squared with a slower Comba based multiplication. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_karatsuba\_sqr}. \\ -\textbf{Input}. mp\_int $a$ \\ -\textbf{Output}. $b \leftarrow a^2$ \\ -\hline \\ -1. Initialize the following temporary mp\_ints: $x0$, $x1$, $t1$, $t2$, $x0x0$ and $x1x1$. \\ -2. If any of the initializations on step 1 failed return(\textit{MP\_MEM}). \\ -\\ -Split the input. e.g. $a = x1\beta^B + x0$ \\ -3. $B \leftarrow \lfloor a.used / 2 \rfloor$ \\ -4. $x0 \leftarrow a \mbox{ (mod }\beta^B\mbox{)}$ (\textit{mp\_mod\_2d}) \\ -5. $x1 \leftarrow \lfloor a / \beta^B \rfloor$ (\textit{mp\_lshd}) \\ -\\ -Calculate the three squares. \\ -6. $x0x0 \leftarrow x0^2$ (\textit{mp\_sqr}) \\ -7. $x1x1 \leftarrow x1^2$ \\ -8. $t1 \leftarrow x1 + x0$ (\textit{s\_mp\_add}) \\ -9. $t1 \leftarrow t1^2$ \\ -\\ -Compute the middle term. \\ -10. $t2 \leftarrow x0x0 + x1x1$ (\textit{s\_mp\_add}) \\ -11. $t1 \leftarrow t1 - t2$ \\ -\\ -Compute final product. \\ -12. $t1 \leftarrow t1\beta^B$ (\textit{mp\_lshd}) \\ -13. $x1x1 \leftarrow x1x1\beta^{2B}$ \\ -14. $t1 \leftarrow t1 + x0x0$ \\ -15. $b \leftarrow t1 + x1x1$ \\ -16. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_karatsuba\_sqr} -\end{figure} - -\textbf{Algorithm mp\_karatsuba\_sqr.} -This algorithm computes the square of an input $a$ using the Karatsuba technique. This algorithm is very similar to the Karatsuba based -multiplication algorithm with the exception that the three half-size multiplications have been replaced with three half-size squarings. - -The radix point for squaring is simply placed exactly in the middle of the digits when the input has an odd number of digits, otherwise it is -placed just below the middle. Step 3, 4 and 5 compute the two halves required using $B$ -as the radix point. The first two squares in steps 6 and 7 are rather straightforward while the last square is of a more compact form. - -By expanding $\left (x1 + x0 \right )^2$, the $x1^2$ and $x0^2$ terms in the middle disappear, that is $(x0 - x1)^2 - (x1^2 + x0^2) = 2 \cdot x0 \cdot x1$. -Now if $5n$ single precision additions and a squaring of $n$-digits is faster than multiplying two $n$-digit numbers and doubling then -this method is faster. Assuming no further recursions occur, the difference can be estimated with the following inequality. - -Let $p$ represent the cost of a single precision addition and $q$ the cost of a single precision multiplication both in terms of time\footnote{Or -machine clock cycles.}. - -\begin{equation} -5pn +{{q(n^2 + n)} \over 2} \le pn + qn^2 -\end{equation} - -For example, on an AMD Athlon XP processor $p = {1 \over 3}$ and $q = 6$. This implies that the following inequality should hold. -\begin{center} -\begin{tabular}{rcl} -${5n \over 3} + 3n^2 + 3n$ & $<$ & ${n \over 3} + 6n^2$ \\ -${5 \over 3} + 3n + 3$ & $<$ & ${1 \over 3} + 6n$ \\ -${13 \over 9}$ & $<$ & $n$ \\ -\end{tabular} -\end{center} - -This results in a cutoff point around $n = 2$. As a consequence it is actually faster to compute the middle term the ``long way'' on processors -where multiplication is substantially slower\footnote{On the Athlon there is a 1:17 ratio between clock cycles for addition and multiplication. On -the Intel P4 processor this ratio is 1:29 making this method even more beneficial. The only common exception is the ARMv4 processor which has a -ratio of 1:7. } than simpler operations such as addition. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_karatsuba\_sqr.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This implementation is largely based on the implementation of algorithm mp\_karatsuba\_mul. It uses the same inline style to copy and -shift the input into the two halves. The loop from line 54 to line 70 has been modified since only one input exists. The \textbf{used} -count of both $x0$ and $x1$ is fixed up and $x0$ is clamped before the calculations begin. At this point $x1$ and $x0$ are valid equivalents -to the respective halves as if mp\_rshd and mp\_mod\_2d had been used. - -By inlining the copy and shift operations the cutoff point for Karatsuba multiplication can be lowered. On the Athlon the cutoff point -is exactly at the point where Comba squaring can no longer be used (\textit{128 digits}). On slower processors such as the Intel P4 -it is actually below the Comba limit (\textit{at 110 digits}). - -This routine uses the same error trap coding style as mp\_karatsuba\_sqr. As the temporary variables are initialized errors are -redirected to the error trap higher up. If the algorithm completes without error the error code is set to \textbf{MP\_OKAY} and -mp\_clears are executed normally. - -\subsection{Toom-Cook Squaring} -The Toom-Cook squaring algorithm mp\_toom\_sqr is heavily based on the algorithm mp\_toom\_mul with the exception that squarings are used -instead of multiplication to find the five relations. The reader is encouraged to read the description of the latter algorithm and try to -derive their own Toom-Cook squaring algorithm. - -\subsection{High Level Squaring} -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_sqr}. \\ -\textbf{Input}. mp\_int $a$ \\ -\textbf{Output}. $b \leftarrow a^2$ \\ -\hline \\ -1. If $a.used \ge TOOM\_SQR\_CUTOFF$ then \\ -\hspace{3mm}1.1 $b \leftarrow a^2$ using algorithm mp\_toom\_sqr \\ -2. else if $a.used \ge KARATSUBA\_SQR\_CUTOFF$ then \\ -\hspace{3mm}2.1 $b \leftarrow a^2$ using algorithm mp\_karatsuba\_sqr \\ -3. else \\ -\hspace{3mm}3.1 $digs \leftarrow a.used + b.used + 1$ \\ -\hspace{3mm}3.2 If $digs < MP\_ARRAY$ and $a.used \le \delta$ then \\ -\hspace{6mm}3.2.1 $b \leftarrow a^2$ using algorithm fast\_s\_mp\_sqr. \\ -\hspace{3mm}3.3 else \\ -\hspace{6mm}3.3.1 $b \leftarrow a^2$ using algorithm s\_mp\_sqr. \\ -4. $b.sign \leftarrow MP\_ZPOS$ \\ -5. Return the result of the unsigned squaring performed. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_sqr} -\end{figure} - -\textbf{Algorithm mp\_sqr.} -This algorithm computes the square of the input using one of four different algorithms. If the input is very large and has at least -\textbf{TOOM\_SQR\_CUTOFF} or \textbf{KARATSUBA\_SQR\_CUTOFF} digits then either the Toom-Cook or the Karatsuba Squaring algorithm is used. If -neither of the polynomial basis algorithms should be used then either the Comba or baseline algorithm is used. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_sqr.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\section*{Exercises} -\begin{tabular}{cl} -$\left [ 3 \right ] $ & Devise an efficient algorithm for selection of the radix point to handle inputs \\ - & that have different number of digits in Karatsuba multiplication. \\ - & \\ -$\left [ 2 \right ] $ & In section 5.3 the fact that every column of a squaring is made up \\ - & of double products and at most one square is stated. Prove this statement. \\ - & \\ -$\left [ 3 \right ] $ & Prove the equation for Karatsuba squaring. \\ - & \\ -$\left [ 1 \right ] $ & Prove that Karatsuba squaring requires $O \left (n^{lg(3)} \right )$ time. \\ - & \\ -$\left [ 2 \right ] $ & Determine the minimal ratio between addition and multiplication clock cycles \\ - & required for equation $6.7$ to be true. \\ - & \\ -$\left [ 3 \right ] $ & Implement a threaded version of Comba multiplication (and squaring) where you \\ - & compute subsets of the columns in each thread. Determine a cutoff point where \\ - & it is effective and add the logic to mp\_mul() and mp\_sqr(). \\ - &\\ -$\left [ 4 \right ] $ & Same as the previous but also modify the Karatsuba and Toom-Cook. You must \\ - & increase the throughput of mp\_exptmod() for random odd moduli in the range \\ - & $512 \ldots 4096$ bits significantly ($> 2x$) to complete this challenge. \\ - & \\ -\end{tabular} - -\chapter{Modular Reduction} -\section{Basics of Modular Reduction} -\index{modular residue} -Modular reduction is an operation that arises quite often within public key cryptography algorithms and various number theoretic algorithms, -such as factoring. Modular reduction algorithms are the third class of algorithms of the ``multipliers'' set. A number $a$ is said to be \textit{reduced} -modulo another number $b$ by finding the remainder of the division $a/b$. Full integer division with remainder is a topic to be covered -in~\ref{sec:division}. - -Modular reduction is equivalent to solving for $r$ in the following equation. $a = bq + r$ where $q = \lfloor a/b \rfloor$. The result -$r$ is said to be ``congruent to $a$ modulo $b$'' which is also written as $r \equiv a \mbox{ (mod }b\mbox{)}$. In other vernacular $r$ is known as the -``modular residue'' which leads to ``quadratic residue''\footnote{That's fancy talk for $b \equiv a^2 \mbox{ (mod }p\mbox{)}$.} and -other forms of residues. - -Modular reductions are normally used to create either finite groups, rings or fields. The most common usage for performance driven modular reductions -is in modular exponentiation algorithms. That is to compute $d = a^b \mbox{ (mod }c\mbox{)}$ as fast as possible. This operation is used in the -RSA and Diffie-Hellman public key algorithms, for example. Modular multiplication and squaring also appears as a fundamental operation in -elliptic curve cryptographic algorithms. As will be discussed in the subsequent chapter there exist fast algorithms for computing modular -exponentiations without having to perform (\textit{in this example}) $b - 1$ multiplications. These algorithms will produce partial results in the -range $0 \le x < c^2$ which can be taken advantage of to create several efficient algorithms. They have also been used to create redundancy check -algorithms known as CRCs, error correction codes such as Reed-Solomon and solve a variety of number theoeretic problems. - -\section{The Barrett Reduction} -The Barrett reduction algorithm \cite{BARRETT} was inspired by fast division algorithms which multiply by the reciprocal to emulate -division. Barretts observation was that the residue $c$ of $a$ modulo $b$ is equal to - -\begin{equation} -c = a - b \cdot \lfloor a/b \rfloor -\end{equation} - -Since algorithms such as modular exponentiation would be using the same modulus extensively, typical DSP\footnote{It is worth noting that Barrett's paper -targeted the DSP56K processor.} intuition would indicate the next step would be to replace $a/b$ by a multiplication by the reciprocal. However, -DSP intuition on its own will not work as these numbers are considerably larger than the precision of common DSP floating point data types. -It would take another common optimization to optimize the algorithm. - -\subsection{Fixed Point Arithmetic} -The trick used to optimize the above equation is based on a technique of emulating floating point data types with fixed precision integers. Fixed -point arithmetic would become very popular as it greatly optimize the ``3d-shooter'' genre of games in the mid 1990s when floating point units were -fairly slow if not unavailable. The idea behind fixed point arithmetic is to take a normal $k$-bit integer data type and break it into $p$-bit -integer and a $q$-bit fraction part (\textit{where $p+q = k$}). - -In this system a $k$-bit integer $n$ would actually represent $n/2^q$. For example, with $q = 4$ the integer $n = 37$ would actually represent the -value $2.3125$. To multiply two fixed point numbers the integers are multiplied using traditional arithmetic and subsequently normalized by -moving the implied decimal point back to where it should be. For example, with $q = 4$ to multiply the integers $9$ and $5$ they must be converted -to fixed point first by multiplying by $2^q$. Let $a = 9(2^q)$ represent the fixed point representation of $9$ and $b = 5(2^q)$ represent the -fixed point representation of $5$. The product $ab$ is equal to $45(2^{2q})$ which when normalized by dividing by $2^q$ produces $45(2^q)$. - -This technique became popular since a normal integer multiplication and logical shift right are the only required operations to perform a multiplication -of two fixed point numbers. Using fixed point arithmetic, division can be easily approximated by multiplying by the reciprocal. If $2^q$ is -equivalent to one than $2^q/b$ is equivalent to the fixed point approximation of $1/b$ using real arithmetic. Using this fact dividing an integer -$a$ by another integer $b$ can be achieved with the following expression. - -\begin{equation} -\lfloor a / b \rfloor \mbox{ }\approx\mbox{ } \lfloor (a \cdot \lfloor 2^q / b \rfloor)/2^q \rfloor -\end{equation} - -The precision of the division is proportional to the value of $q$. If the divisor $b$ is used frequently as is the case with -modular exponentiation pre-computing $2^q/b$ will allow a division to be performed with a multiplication and a right shift. Both operations -are considerably faster than division on most processors. - -Consider dividing $19$ by $5$. The correct result is $\lfloor 19/5 \rfloor = 3$. With $q = 3$ the reciprocal is $\lfloor 2^q/5 \rfloor = 1$ which -leads to a product of $19$ which when divided by $2^q$ produces $2$. However, with $q = 4$ the reciprocal is $\lfloor 2^q/5 \rfloor = 3$ and -the result of the emulated division is $\lfloor 3 \cdot 19 / 2^q \rfloor = 3$ which is correct. The value of $2^q$ must be close to or ideally -larger than the dividend. In effect if $a$ is the dividend then $q$ should allow $0 \le \lfloor a/2^q \rfloor \le 1$ in order for this approach -to work correctly. Plugging this form of divison into the original equation the following modular residue equation arises. - -\begin{equation} -c = a - b \cdot \lfloor (a \cdot \lfloor 2^q / b \rfloor)/2^q \rfloor -\end{equation} - -Using the notation from \cite{BARRETT} the value of $\lfloor 2^q / b \rfloor$ will be represented by the $\mu$ symbol. Using the $\mu$ -variable also helps re-inforce the idea that it is meant to be computed once and re-used. - -\begin{equation} -c = a - b \cdot \lfloor (a \cdot \mu)/2^q \rfloor -\end{equation} - -Provided that $2^q \ge a$ this algorithm will produce a quotient that is either exactly correct or off by a value of one. In the context of Barrett -reduction the value of $a$ is bound by $0 \le a \le (b - 1)^2$ meaning that $2^q \ge b^2$ is sufficient to ensure the reciprocal will have enough -precision. - -Let $n$ represent the number of digits in $b$. This algorithm requires approximately $2n^2$ single precision multiplications to produce the quotient and -another $n^2$ single precision multiplications to find the residue. In total $3n^2$ single precision multiplications are required to -reduce the number. - -For example, if $b = 1179677$ and $q = 41$ ($2^q > b^2$), then the reciprocal $\mu$ is equal to $\lfloor 2^q / b \rfloor = 1864089$. Consider reducing -$a = 180388626447$ modulo $b$ using the above reduction equation. The quotient using the new formula is $\lfloor (a \cdot \mu) / 2^q \rfloor = 152913$. -By subtracting $152913b$ from $a$ the correct residue $a \equiv 677346 \mbox{ (mod }b\mbox{)}$ is found. - -\subsection{Choosing a Radix Point} -Using the fixed point representation a modular reduction can be performed with $3n^2$ single precision multiplications. If that were the best -that could be achieved a full division\footnote{A division requires approximately $O(2cn^2)$ single precision multiplications for a small value of $c$. -See~\ref{sec:division} for further details.} might as well be used in its place. The key to optimizing the reduction is to reduce the precision of -the initial multiplication that finds the quotient. - -Let $a$ represent the number of which the residue is sought. Let $b$ represent the modulus used to find the residue. Let $m$ represent -the number of digits in $b$. For the purposes of this discussion we will assume that the number of digits in $a$ is $2m$, which is generally true if -two $m$-digit numbers have been multiplied. Dividing $a$ by $b$ is the same as dividing a $2m$ digit integer by a $m$ digit integer. Digits below the -$m - 1$'th digit of $a$ will contribute at most a value of $1$ to the quotient because $\beta^k < b$ for any $0 \le k \le m - 1$. Another way to -express this is by re-writing $a$ as two parts. If $a' \equiv a \mbox{ (mod }b^m\mbox{)}$ and $a'' = a - a'$ then -${a \over b} \equiv {{a' + a''} \over b}$ which is equivalent to ${a' \over b} + {a'' \over b}$. Since $a'$ is bound to be less than $b$ the quotient -is bound by $0 \le {a' \over b} < 1$. - -Since the digits of $a'$ do not contribute much to the quotient the observation is that they might as well be zero. However, if the digits -``might as well be zero'' they might as well not be there in the first place. Let $q_0 = \lfloor a/\beta^{m-1} \rfloor$ represent the input -with the irrelevant digits trimmed. Now the modular reduction is trimmed to the almost equivalent equation - -\begin{equation} -c = a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor -\end{equation} - -Note that the original divisor $2^q$ has been replaced with $\beta^{m+1}$ where in this case $q$ is a multiple of $lg(\beta)$. Also note that the -exponent on the divisor when added to the amount $q_0$ was shifted by equals $2m$. If the optimization had not been performed the divisor -would have the exponent $2m$ so in the end the exponents do ``add up''. Using the above equation the quotient -$\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ can be off from the true quotient by at most two. The original fixed point quotient can be off -by as much as one (\textit{provided the radix point is chosen suitably}) and now that the lower irrelevent digits have been trimmed the quotient -can be off by an additional value of one for a total of at most two. This implies that -$0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. By first subtracting $b$ times the quotient and then conditionally subtracting -$b$ once or twice the residue is found. - -The quotient is now found using $(m + 1)(m) = m^2 + m$ single precision multiplications and the residue with an additional $m^2$ single -precision multiplications, ignoring the subtractions required. In total $2m^2 + m$ single precision multiplications are required to find the residue. -This is considerably faster than the original attempt. - -For example, let $\beta = 10$ represent the radix of the digits. Let $b = 9999$ represent the modulus which implies $m = 4$. Let $a = 99929878$ -represent the value of which the residue is desired. In this case $q = 8$ since $10^7 < 9999^2$ meaning that $\mu = \lfloor \beta^{q}/b \rfloor = 10001$. -With the new observation the multiplicand for the quotient is equal to $q_0 = \lfloor a / \beta^{m - 1} \rfloor = 99929$. The quotient is then -$\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor = 9993$. Subtracting $9993b$ from $a$ and the correct residue $a \equiv 9871 \mbox{ (mod }b\mbox{)}$ -is found. - -\subsection{Trimming the Quotient} -So far the reduction algorithm has been optimized from $3m^2$ single precision multiplications down to $2m^2 + m$ single precision multiplications. As -it stands now the algorithm is already fairly fast compared to a full integer division algorithm. However, there is still room for -optimization. - -After the first multiplication inside the quotient ($q_0 \cdot \mu$) the value is shifted right by $m + 1$ places effectively nullifying the lower -half of the product. It would be nice to be able to remove those digits from the product to effectively cut down the number of single precision -multiplications. If the number of digits in the modulus $m$ is far less than $\beta$ a full product is not required for the algorithm to work properly. -In fact the lower $m - 2$ digits will not affect the upper half of the product at all and do not need to be computed. - -The value of $\mu$ is a $m$-digit number and $q_0$ is a $m + 1$ digit number. Using a full multiplier $(m + 1)(m) = m^2 + m$ single precision -multiplications would be required. Using a multiplier that will only produce digits at and above the $m - 1$'th digit reduces the number -of single precision multiplications to ${m^2 + m} \over 2$ single precision multiplications. - -\subsection{Trimming the Residue} -After the quotient has been calculated it is used to reduce the input. As previously noted the algorithm is not exact and it can be off by a small -multiple of the modulus, that is $0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. If $b$ is $m$ digits than the -result of reduction equation is a value of at most $m + 1$ digits (\textit{provided $3 < \beta$}) implying that the upper $m - 1$ digits are -implicitly zero. - -The next optimization arises from this very fact. Instead of computing $b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ using a full -$O(m^2)$ multiplication algorithm only the lower $m+1$ digits of the product have to be computed. Similarly the value of $a$ can -be reduced modulo $\beta^{m+1}$ before the multiple of $b$ is subtracted which simplifes the subtraction as well. A multiplication that produces -only the lower $m+1$ digits requires ${m^2 + 3m - 2} \over 2$ single precision multiplications. - -With both optimizations in place the algorithm is the algorithm Barrett proposed. It requires $m^2 + 2m - 1$ single precision multiplications which -is considerably faster than the straightforward $3m^2$ method. - -\subsection{The Barrett Algorithm} -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_reduce}. \\ -\textbf{Input}. mp\_int $a$, mp\_int $b$ and $\mu = \lfloor \beta^{2m}/b \rfloor, m = \lceil lg_{\beta}(b) \rceil, (0 \le a < b^2, b > 1)$ \\ -\textbf{Output}. $a \mbox{ (mod }b\mbox{)}$ \\ -\hline \\ -Let $m$ represent the number of digits in $b$. \\ -1. Make a copy of $a$ and store it in $q$. (\textit{mp\_init\_copy}) \\ -2. $q \leftarrow \lfloor q / \beta^{m - 1} \rfloor$ (\textit{mp\_rshd}) \\ -\\ -Produce the quotient. \\ -3. $q \leftarrow q \cdot \mu$ (\textit{note: only produce digits at or above $m-1$}) \\ -4. $q \leftarrow \lfloor q / \beta^{m + 1} \rfloor$ \\ -\\ -Subtract the multiple of modulus from the input. \\ -5. $a \leftarrow a \mbox{ (mod }\beta^{m+1}\mbox{)}$ (\textit{mp\_mod\_2d}) \\ -6. $q \leftarrow q \cdot b \mbox{ (mod }\beta^{m+1}\mbox{)}$ (\textit{s\_mp\_mul\_digs}) \\ -7. $a \leftarrow a - q$ (\textit{mp\_sub}) \\ -\\ -Add $\beta^{m+1}$ if a carry occured. \\ -8. If $a < 0$ then (\textit{mp\_cmp\_d}) \\ -\hspace{3mm}8.1 $q \leftarrow 1$ (\textit{mp\_set}) \\ -\hspace{3mm}8.2 $q \leftarrow q \cdot \beta^{m+1}$ (\textit{mp\_lshd}) \\ -\hspace{3mm}8.3 $a \leftarrow a + q$ \\ -\\ -Now subtract the modulus if the residue is too large (e.g. quotient too small). \\ -9. While $a \ge b$ do (\textit{mp\_cmp}) \\ -\hspace{3mm}9.1 $c \leftarrow a - b$ \\ -10. Clear $q$. \\ -11. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_reduce} -\end{figure} - -\textbf{Algorithm mp\_reduce.} -This algorithm will reduce the input $a$ modulo $b$ in place using the Barrett algorithm. It is loosely based on algorithm 14.42 of HAC -\cite[pp. 602]{HAC} which is based on the paper from Paul Barrett \cite{BARRETT}. The algorithm has several restrictions and assumptions which must -be adhered to for the algorithm to work. - -First the modulus $b$ is assumed to be positive and greater than one. If the modulus were less than or equal to one than subtracting -a multiple of it would either accomplish nothing or actually enlarge the input. The input $a$ must be in the range $0 \le a < b^2$ in order -for the quotient to have enough precision. If $a$ is the product of two numbers that were already reduced modulo $b$, this will not be a problem. -Technically the algorithm will still work if $a \ge b^2$ but it will take much longer to finish. The value of $\mu$ is passed as an argument to this -algorithm and is assumed to be calculated and stored before the algorithm is used. - -Recall that the multiplication for the quotient on step 3 must only produce digits at or above the $m-1$'th position. An algorithm called -$s\_mp\_mul\_high\_digs$ which has not been presented is used to accomplish this task. The algorithm is based on $s\_mp\_mul\_digs$ except that -instead of stopping at a given level of precision it starts at a given level of precision. This optimal algorithm can only be used if the number -of digits in $b$ is very much smaller than $\beta$. - -While it is known that -$a \ge b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ only the lower $m+1$ digits are being used to compute the residue, so an implied -``borrow'' from the higher digits might leave a negative result. After the multiple of the modulus has been subtracted from $a$ the residue must be -fixed up in case it is negative. The invariant $\beta^{m+1}$ must be added to the residue to make it positive again. - -The while loop at step 9 will subtract $b$ until the residue is less than $b$. If the algorithm is performed correctly this step is -performed at most twice, and on average once. However, if $a \ge b^2$ than it will iterate substantially more times than it should. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_reduce.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The first multiplication that determines the quotient can be performed by only producing the digits from $m - 1$ and up. This essentially halves -the number of single precision multiplications required. However, the optimization is only safe if $\beta$ is much larger than the number of digits -in the modulus. In the source code this is evaluated on lines 36 to 44 where algorithm s\_mp\_mul\_high\_digs is used when it is -safe to do so. - -\subsection{The Barrett Setup Algorithm} -In order to use algorithm mp\_reduce the value of $\mu$ must be calculated in advance. Ideally this value should be computed once and stored for -future use so that the Barrett algorithm can be used without delay. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_reduce\_setup}. \\ -\textbf{Input}. mp\_int $a$ ($a > 1$) \\ -\textbf{Output}. $\mu \leftarrow \lfloor \beta^{2m}/a \rfloor$ \\ -\hline \\ -1. $\mu \leftarrow 2^{2 \cdot lg(\beta) \cdot m}$ (\textit{mp\_2expt}) \\ -2. $\mu \leftarrow \lfloor \mu / b \rfloor$ (\textit{mp\_div}) \\ -3. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_reduce\_setup} -\end{figure} - -\textbf{Algorithm mp\_reduce\_setup.} -This algorithm computes the reciprocal $\mu$ required for Barrett reduction. First $\beta^{2m}$ is calculated as $2^{2 \cdot lg(\beta) \cdot m}$ which -is equivalent and much faster. The final value is computed by taking the integer quotient of $\lfloor \mu / b \rfloor$. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_reduce\_setup.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This simple routine calculates the reciprocal $\mu$ required by Barrett reduction. Note the extended usage of algorithm mp\_div where the variable -which would received the remainder is passed as NULL. As will be discussed in~\ref{sec:division} the division routine allows both the quotient and the -remainder to be passed as NULL meaning to ignore the value. - -\section{The Montgomery Reduction} -Montgomery reduction\footnote{Thanks to Niels Ferguson for his insightful explanation of the algorithm.} \cite{MONT} is by far the most interesting -form of reduction in common use. It computes a modular residue which is not actually equal to the residue of the input yet instead equal to a -residue times a constant. However, as perplexing as this may sound the algorithm is relatively simple and very efficient. - -Throughout this entire section the variable $n$ will represent the modulus used to form the residue. As will be discussed shortly the value of -$n$ must be odd. The variable $x$ will represent the quantity of which the residue is sought. Similar to the Barrett algorithm the input -is restricted to $0 \le x < n^2$. To begin the description some simple number theory facts must be established. - -\textbf{Fact 1.} Adding $n$ to $x$ does not change the residue since in effect it adds one to the quotient $\lfloor x / n \rfloor$. Another way -to explain this is that $n$ is (\textit{or multiples of $n$ are}) congruent to zero modulo $n$. Adding zero will not change the value of the residue. - -\textbf{Fact 2.} If $x$ is even then performing a division by two in $\Z$ is congruent to $x \cdot 2^{-1} \mbox{ (mod }n\mbox{)}$. Actually -this is an application of the fact that if $x$ is evenly divisible by any $k \in \Z$ then division in $\Z$ will be congruent to -multiplication by $k^{-1}$ modulo $n$. - -From these two simple facts the following simple algorithm can be derived. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Montgomery Reduction}. \\ -\textbf{Input}. Integer $x$, $n$ and $k$ \\ -\textbf{Output}. $2^{-k}x \mbox{ (mod }n\mbox{)}$ \\ -\hline \\ -1. for $t$ from $1$ to $k$ do \\ -\hspace{3mm}1.1 If $x$ is odd then \\ -\hspace{6mm}1.1.1 $x \leftarrow x + n$ \\ -\hspace{3mm}1.2 $x \leftarrow x/2$ \\ -2. Return $x$. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Montgomery Reduction} -\end{figure} - -The algorithm reduces the input one bit at a time using the two congruencies stated previously. Inside the loop $n$, which is odd, is -added to $x$ if $x$ is odd. This forces $x$ to be even which allows the division by two in $\Z$ to be congruent to a modular division by two. Since -$x$ is assumed to be initially much larger than $n$ the addition of $n$ will contribute an insignificant magnitude to $x$. Let $r$ represent the -final result of the Montgomery algorithm. If $k > lg(n)$ and $0 \le x < n^2$ then the final result is limited to -$0 \le r < \lfloor x/2^k \rfloor + n$. As a result at most a single subtraction is required to get the residue desired. - -\begin{figure}[here] -\begin{small} -\begin{center} -\begin{tabular}{|c|l|} -\hline \textbf{Step number ($t$)} & \textbf{Result ($x$)} \\ -\hline $1$ & $x + n = 5812$, $x/2 = 2906$ \\ -\hline $2$ & $x/2 = 1453$ \\ -\hline $3$ & $x + n = 1710$, $x/2 = 855$ \\ -\hline $4$ & $x + n = 1112$, $x/2 = 556$ \\ -\hline $5$ & $x/2 = 278$ \\ -\hline $6$ & $x/2 = 139$ \\ -\hline $7$ & $x + n = 396$, $x/2 = 198$ \\ -\hline $8$ & $x/2 = 99$ \\ -\hline $9$ & $x + n = 356$, $x/2 = 178$ \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Example of Montgomery Reduction (I)} -\label{fig:MONT1} -\end{figure} - -Consider the example in figure~\ref{fig:MONT1} which reduces $x = 5555$ modulo $n = 257$ when $k = 9$ (note $\beta^k = 512$ which is larger than $n$). The result of -the algorithm $r = 178$ is congruent to the value of $2^{-9} \cdot 5555 \mbox{ (mod }257\mbox{)}$. When $r$ is multiplied by $2^9$ modulo $257$ the correct residue -$r \equiv 158$ is produced. - -Let $k = \lfloor lg(n) \rfloor + 1$ represent the number of bits in $n$. The current algorithm requires $2k^2$ single precision shifts -and $k^2$ single precision additions. At this rate the algorithm is most certainly slower than Barrett reduction and not terribly useful. -Fortunately there exists an alternative representation of the algorithm. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Montgomery Reduction} (modified I). \\ -\textbf{Input}. Integer $x$, $n$ and $k$ ($2^k > n$) \\ -\textbf{Output}. $2^{-k}x \mbox{ (mod }n\mbox{)}$ \\ -\hline \\ -1. for $t$ from $1$ to $k$ do \\ -\hspace{3mm}1.1 If the $t$'th bit of $x$ is one then \\ -\hspace{6mm}1.1.1 $x \leftarrow x + 2^tn$ \\ -2. Return $x/2^k$. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Montgomery Reduction (modified I)} -\end{figure} - -This algorithm is equivalent since $2^tn$ is a multiple of $n$ and the lower $k$ bits of $x$ are zero by step 2. The number of single -precision shifts has now been reduced from $2k^2$ to $k^2 + k$ which is only a small improvement. - -\begin{figure}[here] -\begin{small} -\begin{center} -\begin{tabular}{|c|l|r|} -\hline \textbf{Step number ($t$)} & \textbf{Result ($x$)} & \textbf{Result ($x$) in Binary} \\ -\hline -- & $5555$ & $1010110110011$ \\ -\hline $1$ & $x + 2^{0}n = 5812$ & $1011010110100$ \\ -\hline $2$ & $5812$ & $1011010110100$ \\ -\hline $3$ & $x + 2^{2}n = 6840$ & $1101010111000$ \\ -\hline $4$ & $x + 2^{3}n = 8896$ & $10001011000000$ \\ -\hline $5$ & $8896$ & $10001011000000$ \\ -\hline $6$ & $8896$ & $10001011000000$ \\ -\hline $7$ & $x + 2^{6}n = 25344$ & $110001100000000$ \\ -\hline $8$ & $25344$ & $110001100000000$ \\ -\hline $9$ & $x + 2^{7}n = 91136$ & $10110010000000000$ \\ -\hline -- & $x/2^k = 178$ & \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Example of Montgomery Reduction (II)} -\label{fig:MONT2} -\end{figure} - -Figure~\ref{fig:MONT2} demonstrates the modified algorithm reducing $x = 5555$ modulo $n = 257$ with $k = 9$. -With this algorithm a single shift right at the end is the only right shift required to reduce the input instead of $k$ right shifts inside the -loop. Note that for the iterations $t = 2, 5, 6$ and $8$ where the result $x$ is not changed. In those iterations the $t$'th bit of $x$ is -zero and the appropriate multiple of $n$ does not need to be added to force the $t$'th bit of the result to zero. - -\subsection{Digit Based Montgomery Reduction} -Instead of computing the reduction on a bit-by-bit basis it is actually much faster to compute it on digit-by-digit basis. Consider the -previous algorithm re-written to compute the Montgomery reduction in this new fashion. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Montgomery Reduction} (modified II). \\ -\textbf{Input}. Integer $x$, $n$ and $k$ ($\beta^k > n$) \\ -\textbf{Output}. $\beta^{-k}x \mbox{ (mod }n\mbox{)}$ \\ -\hline \\ -1. for $t$ from $0$ to $k - 1$ do \\ -\hspace{3mm}1.1 $x \leftarrow x + \mu n \beta^t$ \\ -2. Return $x/\beta^k$. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Montgomery Reduction (modified II)} -\end{figure} - -The value $\mu n \beta^t$ is a multiple of the modulus $n$ meaning that it will not change the residue. If the first digit of -the value $\mu n \beta^t$ equals the negative (modulo $\beta$) of the $t$'th digit of $x$ then the addition will result in a zero digit. This -problem breaks down to solving the following congruency. - -\begin{center} -\begin{tabular}{rcl} -$x_t + \mu n_0$ & $\equiv$ & $0 \mbox{ (mod }\beta\mbox{)}$ \\ -$\mu n_0$ & $\equiv$ & $-x_t \mbox{ (mod }\beta\mbox{)}$ \\ -$\mu$ & $\equiv$ & $-x_t/n_0 \mbox{ (mod }\beta\mbox{)}$ \\ -\end{tabular} -\end{center} - -In each iteration of the loop on step 1 a new value of $\mu$ must be calculated. The value of $-1/n_0 \mbox{ (mod }\beta\mbox{)}$ is used -extensively in this algorithm and should be precomputed. Let $\rho$ represent the negative of the modular inverse of $n_0$ modulo $\beta$. - -For example, let $\beta = 10$ represent the radix. Let $n = 17$ represent the modulus which implies $k = 2$ and $\rho \equiv 7$. Let $x = 33$ -represent the value to reduce. - -\newpage\begin{figure} -\begin{center} -\begin{tabular}{|c|c|c|} -\hline \textbf{Step ($t$)} & \textbf{Value of $x$} & \textbf{Value of $\mu$} \\ -\hline -- & $33$ & --\\ -\hline $0$ & $33 + \mu n = 50$ & $1$ \\ -\hline $1$ & $50 + \mu n \beta = 900$ & $5$ \\ -\hline -\end{tabular} -\end{center} -\caption{Example of Montgomery Reduction} -\end{figure} - -The final result $900$ is then divided by $\beta^k$ to produce the final result $9$. The first observation is that $9 \nequiv x \mbox{ (mod }n\mbox{)}$ -which implies the result is not the modular residue of $x$ modulo $n$. However, recall that the residue is actually multiplied by $\beta^{-k}$ in -the algorithm. To get the true residue the value must be multiplied by $\beta^k$. In this case $\beta^k \equiv 15 \mbox{ (mod }n\mbox{)}$ and -the correct residue is $9 \cdot 15 \equiv 16 \mbox{ (mod }n\mbox{)}$. - -\subsection{Baseline Montgomery Reduction} -The baseline Montgomery reduction algorithm will produce the residue for any size input. It is designed to be a catch-all algororithm for -Montgomery reductions. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_montgomery\_reduce}. \\ -\textbf{Input}. mp\_int $x$, mp\_int $n$ and a digit $\rho \equiv -1/n_0 \mbox{ (mod }n\mbox{)}$. \\ -\hspace{11.5mm}($0 \le x < n^2, n > 1, (n, \beta) = 1, \beta^k > n$) \\ -\textbf{Output}. $\beta^{-k}x \mbox{ (mod }n\mbox{)}$ \\ -\hline \\ -1. $digs \leftarrow 2n.used + 1$ \\ -2. If $digs < MP\_ARRAY$ and $m.used < \delta$ then \\ -\hspace{3mm}2.1 Use algorithm fast\_mp\_montgomery\_reduce instead. \\ -\\ -Setup $x$ for the reduction. \\ -3. If $x.alloc < digs$ then grow $x$ to $digs$ digits. \\ -4. $x.used \leftarrow digs$ \\ -\\ -Eliminate the lower $k$ digits. \\ -5. For $ix$ from $0$ to $k - 1$ do \\ -\hspace{3mm}5.1 $\mu \leftarrow x_{ix} \cdot \rho \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}5.2 $u \leftarrow 0$ \\ -\hspace{3mm}5.3 For $iy$ from $0$ to $k - 1$ do \\ -\hspace{6mm}5.3.1 $\hat r \leftarrow \mu n_{iy} + x_{ix + iy} + u$ \\ -\hspace{6mm}5.3.2 $x_{ix + iy} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{6mm}5.3.3 $u \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -\hspace{3mm}5.4 While $u > 0$ do \\ -\hspace{6mm}5.4.1 $iy \leftarrow iy + 1$ \\ -\hspace{6mm}5.4.2 $x_{ix + iy} \leftarrow x_{ix + iy} + u$ \\ -\hspace{6mm}5.4.3 $u \leftarrow \lfloor x_{ix+iy} / \beta \rfloor$ \\ -\hspace{6mm}5.4.4 $x_{ix + iy} \leftarrow x_{ix+iy} \mbox{ (mod }\beta\mbox{)}$ \\ -\\ -Divide by $\beta^k$ and fix up as required. \\ -6. $x \leftarrow \lfloor x / \beta^k \rfloor$ \\ -7. If $x \ge n$ then \\ -\hspace{3mm}7.1 $x \leftarrow x - n$ \\ -8. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_montgomery\_reduce} -\end{figure} - -\textbf{Algorithm mp\_montgomery\_reduce.} -This algorithm reduces the input $x$ modulo $n$ in place using the Montgomery reduction algorithm. The algorithm is loosely based -on algorithm 14.32 of \cite[pp.601]{HAC} except it merges the multiplication of $\mu n \beta^t$ with the addition in the inner loop. The -restrictions on this algorithm are fairly easy to adapt to. First $0 \le x < n^2$ bounds the input to numbers in the same range as -for the Barrett algorithm. Additionally if $n > 1$ and $n$ is odd there will exist a modular inverse $\rho$. $\rho$ must be calculated in -advance of this algorithm. Finally the variable $k$ is fixed and a pseudonym for $n.used$. - -Step 2 decides whether a faster Montgomery algorithm can be used. It is based on the Comba technique meaning that there are limits on -the size of the input. This algorithm is discussed in sub-section 6.3.3. - -Step 5 is the main reduction loop of the algorithm. The value of $\mu$ is calculated once per iteration in the outer loop. The inner loop -calculates $x + \mu n \beta^{ix}$ by multiplying $\mu n$ and adding the result to $x$ shifted by $ix$ digits. Both the addition and -multiplication are performed in the same loop to save time and memory. Step 5.4 will handle any additional carries that escape the inner loop. - -Using a quick inspection this algorithm requires $n$ single precision multiplications for the outer loop and $n^2$ single precision multiplications -in the inner loop. In total $n^2 + n$ single precision multiplications which compares favourably to Barrett at $n^2 + 2n - 1$ single precision -multiplications. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_montgomery\_reduce.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This is the baseline implementation of the Montgomery reduction algorithm. Lines 31 to 36 determine if the Comba based -routine can be used instead. Line 47 computes the value of $\mu$ for that particular iteration of the outer loop. - -The multiplication $\mu n \beta^{ix}$ is performed in one step in the inner loop. The alias $tmpx$ refers to the $ix$'th digit of $x$ and -the alias $tmpn$ refers to the modulus $n$. - -\subsection{Faster ``Comba'' Montgomery Reduction} - -The Montgomery reduction requires fewer single precision multiplications than a Barrett reduction, however it is much slower due to the serial -nature of the inner loop. The Barrett reduction algorithm requires two slightly modified multipliers which can be implemented with the Comba -technique. The Montgomery reduction algorithm cannot directly use the Comba technique to any significant advantage since the inner loop calculates -a $k \times 1$ product $k$ times. - -The biggest obstacle is that at the $ix$'th iteration of the outer loop the value of $x_{ix}$ is required to calculate $\mu$. This means the -carries from $0$ to $ix - 1$ must have been propagated upwards to form a valid $ix$'th digit. The solution as it turns out is very simple. -Perform a Comba like multiplier and inside the outer loop just after the inner loop fix up the $ix + 1$'th digit by forwarding the carry. - -With this change in place the Montgomery reduction algorithm can be performed with a Comba style multiplication loop which substantially increases -the speed of the algorithm. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{fast\_mp\_montgomery\_reduce}. \\ -\textbf{Input}. mp\_int $x$, mp\_int $n$ and a digit $\rho \equiv -1/n_0 \mbox{ (mod }n\mbox{)}$. \\ -\hspace{11.5mm}($0 \le x < n^2, n > 1, (n, \beta) = 1, \beta^k > n$) \\ -\textbf{Output}. $\beta^{-k}x \mbox{ (mod }n\mbox{)}$ \\ -\hline \\ -Place an array of \textbf{MP\_WARRAY} mp\_word variables called $\hat W$ on the stack. \\ -1. if $x.alloc < n.used + 1$ then grow $x$ to $n.used + 1$ digits. \\ -Copy the digits of $x$ into the array $\hat W$ \\ -2. For $ix$ from $0$ to $x.used - 1$ do \\ -\hspace{3mm}2.1 $\hat W_{ix} \leftarrow x_{ix}$ \\ -3. For $ix$ from $x.used$ to $2n.used - 1$ do \\ -\hspace{3mm}3.1 $\hat W_{ix} \leftarrow 0$ \\ -Elimiate the lower $k$ digits. \\ -4. for $ix$ from $0$ to $n.used - 1$ do \\ -\hspace{3mm}4.1 $\mu \leftarrow \hat W_{ix} \cdot \rho \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}4.2 For $iy$ from $0$ to $n.used - 1$ do \\ -\hspace{6mm}4.2.1 $\hat W_{iy + ix} \leftarrow \hat W_{iy + ix} + \mu \cdot n_{iy}$ \\ -\hspace{3mm}4.3 $\hat W_{ix + 1} \leftarrow \hat W_{ix + 1} + \lfloor \hat W_{ix} / \beta \rfloor$ \\ -Propagate carries upwards. \\ -5. for $ix$ from $n.used$ to $2n.used + 1$ do \\ -\hspace{3mm}5.1 $\hat W_{ix + 1} \leftarrow \hat W_{ix + 1} + \lfloor \hat W_{ix} / \beta \rfloor$ \\ -Shift right and reduce modulo $\beta$ simultaneously. \\ -6. for $ix$ from $0$ to $n.used + 1$ do \\ -\hspace{3mm}6.1 $x_{ix} \leftarrow \hat W_{ix + n.used} \mbox{ (mod }\beta\mbox{)}$ \\ -Zero excess digits and fixup $x$. \\ -7. if $x.used > n.used + 1$ then do \\ -\hspace{3mm}7.1 for $ix$ from $n.used + 1$ to $x.used - 1$ do \\ -\hspace{6mm}7.1.1 $x_{ix} \leftarrow 0$ \\ -8. $x.used \leftarrow n.used + 1$ \\ -9. Clamp excessive digits of $x$. \\ -10. If $x \ge n$ then \\ -\hspace{3mm}10.1 $x \leftarrow x - n$ \\ -11. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm fast\_mp\_montgomery\_reduce} -\end{figure} - -\textbf{Algorithm fast\_mp\_montgomery\_reduce.} -This algorithm will compute the Montgomery reduction of $x$ modulo $n$ using the Comba technique. It is on most computer platforms significantly -faster than algorithm mp\_montgomery\_reduce and algorithm mp\_reduce (\textit{Barrett reduction}). The algorithm has the same restrictions -on the input as the baseline reduction algorithm. An additional two restrictions are imposed on this algorithm. The number of digits $k$ in the -the modulus $n$ must not violate $MP\_WARRAY > 2k +1$ and $n < \delta$. When $\beta = 2^{28}$ this algorithm can be used to reduce modulo -a modulus of at most $3,556$ bits in length. - -As in the other Comba reduction algorithms there is a $\hat W$ array which stores the columns of the product. It is initially filled with the -contents of $x$ with the excess digits zeroed. The reduction loop is very similar the to the baseline loop at heart. The multiplication on step -4.1 can be single precision only since $ab \mbox{ (mod }\beta\mbox{)} \equiv (a \mbox{ mod }\beta)(b \mbox{ mod }\beta)$. Some multipliers such -as those on the ARM processors take a variable length time to complete depending on the number of bytes of result it must produce. By performing -a single precision multiplication instead half the amount of time is spent. - -Also note that digit $\hat W_{ix}$ must have the carry from the $ix - 1$'th digit propagated upwards in order for this to work. That is what step -4.3 will do. In effect over the $n.used$ iterations of the outer loop the $n.used$'th lower columns all have the their carries propagated forwards. Note -how the upper bits of those same words are not reduced modulo $\beta$. This is because those values will be discarded shortly and there is no -point. - -Step 5 will propagate the remainder of the carries upwards. On step 6 the columns are reduced modulo $\beta$ and shifted simultaneously as they are -stored in the destination $x$. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_fast\_mp\_montgomery\_reduce.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The $\hat W$ array is first filled with digits of $x$ on line 48 then the rest of the digits are zeroed on line 55. Both loops share -the same alias variables to make the code easier to read. - -The value of $\mu$ is calculated in an interesting fashion. First the value $\hat W_{ix}$ is reduced modulo $\beta$ and cast to a mp\_digit. This -forces the compiler to use a single precision multiplication and prevents any concerns about loss of precision. Line 110 fixes the carry -for the next iteration of the loop by propagating the carry from $\hat W_{ix}$ to $\hat W_{ix+1}$. - -The for loop on line 109 propagates the rest of the carries upwards through the columns. The for loop on line 126 reduces the columns -modulo $\beta$ and shifts them $k$ places at the same time. The alias $\_ \hat W$ actually refers to the array $\hat W$ starting at the $n.used$'th -digit, that is $\_ \hat W_{t} = \hat W_{n.used + t}$. - -\subsection{Montgomery Setup} -To calculate the variable $\rho$ a relatively simple algorithm will be required. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_montgomery\_setup}. \\ -\textbf{Input}. mp\_int $n$ ($n > 1$ and $(n, 2) = 1$) \\ -\textbf{Output}. $\rho \equiv -1/n_0 \mbox{ (mod }\beta\mbox{)}$ \\ -\hline \\ -1. $b \leftarrow n_0$ \\ -2. If $b$ is even return(\textit{MP\_VAL}) \\ -3. $x \leftarrow (((b + 2) \mbox{ AND } 4) << 1) + b$ \\ -4. for $k$ from 0 to $\lceil lg(lg(\beta)) \rceil - 2$ do \\ -\hspace{3mm}4.1 $x \leftarrow x \cdot (2 - bx)$ \\ -5. $\rho \leftarrow \beta - x \mbox{ (mod }\beta\mbox{)}$ \\ -6. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_montgomery\_setup} -\end{figure} - -\textbf{Algorithm mp\_montgomery\_setup.} -This algorithm will calculate the value of $\rho$ required within the Montgomery reduction algorithms. It uses a very interesting trick -to calculate $1/n_0$ when $\beta$ is a power of two. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_montgomery\_setup.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This source code computes the value of $\rho$ required to perform Montgomery reduction. It has been modified to avoid performing excess -multiplications when $\beta$ is not the default 28-bits. - -\section{The Diminished Radix Algorithm} -The Diminished Radix method of modular reduction \cite{DRMET} is a fairly clever technique which can be more efficient than either the Barrett -or Montgomery methods for certain forms of moduli. The technique is based on the following simple congruence. - -\begin{equation} -(x \mbox{ mod } n) + k \lfloor x / n \rfloor \equiv x \mbox{ (mod }(n - k)\mbox{)} -\end{equation} - -This observation was used in the MMB \cite{MMB} block cipher to create a diffusion primitive. It used the fact that if $n = 2^{31}$ and $k=1$ that -then a x86 multiplier could produce the 62-bit product and use the ``shrd'' instruction to perform a double-precision right shift. The proof -of the above equation is very simple. First write $x$ in the product form. - -\begin{equation} -x = qn + r -\end{equation} - -Now reduce both sides modulo $(n - k)$. - -\begin{equation} -x \equiv qk + r \mbox{ (mod }(n-k)\mbox{)} -\end{equation} - -The variable $n$ reduces modulo $n - k$ to $k$. By putting $q = \lfloor x/n \rfloor$ and $r = x \mbox{ mod } n$ -into the equation the original congruence is reproduced, thus concluding the proof. The following algorithm is based on this observation. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Diminished Radix Reduction}. \\ -\textbf{Input}. Integer $x$, $n$, $k$ \\ -\textbf{Output}. $x \mbox{ mod } (n - k)$ \\ -\hline \\ -1. $q \leftarrow \lfloor x / n \rfloor$ \\ -2. $q \leftarrow k \cdot q$ \\ -3. $x \leftarrow x \mbox{ (mod }n\mbox{)}$ \\ -4. $x \leftarrow x + q$ \\ -5. If $x \ge (n - k)$ then \\ -\hspace{3mm}5.1 $x \leftarrow x - (n - k)$ \\ -\hspace{3mm}5.2 Goto step 1. \\ -6. Return $x$ \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Diminished Radix Reduction} -\label{fig:DR} -\end{figure} - -This algorithm will reduce $x$ modulo $n - k$ and return the residue. If $0 \le x < (n - k)^2$ then the algorithm will loop almost always -once or twice and occasionally three times. For simplicity sake the value of $x$ is bounded by the following simple polynomial. - -\begin{equation} -0 \le x < n^2 + k^2 - 2nk -\end{equation} - -The true bound is $0 \le x < (n - k - 1)^2$ but this has quite a few more terms. The value of $q$ after step 1 is bounded by the following. - -\begin{equation} -q < n - 2k - k^2/n -\end{equation} - -Since $k^2$ is going to be considerably smaller than $n$ that term will always be zero. The value of $x$ after step 3 is bounded trivially as -$0 \le x < n$. By step four the sum $x + q$ is bounded by - -\begin{equation} -0 \le q + x < (k + 1)n - 2k^2 - 1 -\end{equation} - -With a second pass $q$ will be loosely bounded by $0 \le q < k^2$ after step 2 while $x$ will still be loosely bounded by $0 \le x < n$ after step 3. After the second pass it is highly unlike that the -sum in step 4 will exceed $n - k$. In practice fewer than three passes of the algorithm are required to reduce virtually every input in the -range $0 \le x < (n - k - 1)^2$. - -\begin{figure} -\begin{small} -\begin{center} -\begin{tabular}{|l|} -\hline -$x = 123456789, n = 256, k = 3$ \\ -\hline $q \leftarrow \lfloor x/n \rfloor = 482253$ \\ -$q \leftarrow q*k = 1446759$ \\ -$x \leftarrow x \mbox{ mod } n = 21$ \\ -$x \leftarrow x + q = 1446780$ \\ -$x \leftarrow x - (n - k) = 1446527$ \\ -\hline -$q \leftarrow \lfloor x/n \rfloor = 5650$ \\ -$q \leftarrow q*k = 16950$ \\ -$x \leftarrow x \mbox{ mod } n = 127$ \\ -$x \leftarrow x + q = 17077$ \\ -$x \leftarrow x - (n - k) = 16824$ \\ -\hline -$q \leftarrow \lfloor x/n \rfloor = 65$ \\ -$q \leftarrow q*k = 195$ \\ -$x \leftarrow x \mbox{ mod } n = 184$ \\ -$x \leftarrow x + q = 379$ \\ -$x \leftarrow x - (n - k) = 126$ \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Example Diminished Radix Reduction} -\label{fig:EXDR} -\end{figure} - -Figure~\ref{fig:EXDR} demonstrates the reduction of $x = 123456789$ modulo $n - k = 253$ when $n = 256$ and $k = 3$. Note that even while $x$ -is considerably larger than $(n - k - 1)^2 = 63504$ the algorithm still converges on the modular residue exceedingly fast. In this case only -three passes were required to find the residue $x \equiv 126$. - - -\subsection{Choice of Moduli} -On the surface this algorithm looks like a very expensive algorithm. It requires a couple of subtractions followed by multiplication and other -modular reductions. The usefulness of this algorithm becomes exceedingly clear when an appropriate modulus is chosen. - -Division in general is a very expensive operation to perform. The one exception is when the division is by a power of the radix of representation used. -Division by ten for example is simple for pencil and paper mathematics since it amounts to shifting the decimal place to the right. Similarly division -by two (\textit{or powers of two}) is very simple for binary computers to perform. It would therefore seem logical to choose $n$ of the form $2^p$ -which would imply that $\lfloor x / n \rfloor$ is a simple shift of $x$ right $p$ bits. - -However, there is one operation related to division of power of twos that is even faster than this. If $n = \beta^p$ then the division may be -performed by moving whole digits to the right $p$ places. In practice division by $\beta^p$ is much faster than division by $2^p$ for any $p$. -Also with the choice of $n = \beta^p$ reducing $x$ modulo $n$ merely requires zeroing the digits above the $p-1$'th digit of $x$. - -Throughout the next section the term ``restricted modulus'' will refer to a modulus of the form $\beta^p - k$ whereas the term ``unrestricted -modulus'' will refer to a modulus of the form $2^p - k$. The word ``restricted'' in this case refers to the fact that it is based on the -$2^p$ logic except $p$ must be a multiple of $lg(\beta)$. - -\subsection{Choice of $k$} -Now that division and reduction (\textit{step 1 and 3 of figure~\ref{fig:DR}}) have been optimized to simple digit operations the multiplication by $k$ -in step 2 is the most expensive operation. Fortunately the choice of $k$ is not terribly limited. For all intents and purposes it might -as well be a single digit. The smaller the value of $k$ is the faster the algorithm will be. - -\subsection{Restricted Diminished Radix Reduction} -The restricted Diminished Radix algorithm can quickly reduce an input modulo a modulus of the form $n = \beta^p - k$. This algorithm can reduce -an input $x$ within the range $0 \le x < n^2$ using only a couple passes of the algorithm demonstrated in figure~\ref{fig:DR}. The implementation -of this algorithm has been optimized to avoid additional overhead associated with a division by $\beta^p$, the multiplication by $k$ or the addition -of $x$ and $q$. The resulting algorithm is very efficient and can lead to substantial improvements over Barrett and Montgomery reduction when modular -exponentiations are performed. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_dr\_reduce}. \\ -\textbf{Input}. mp\_int $x$, $n$ and a mp\_digit $k = \beta - n_0$ \\ -\hspace{11.5mm}($0 \le x < n^2$, $n > 1$, $0 < k < \beta$) \\ -\textbf{Output}. $x \mbox{ mod } n$ \\ -\hline \\ -1. $m \leftarrow n.used$ \\ -2. If $x.alloc < 2m$ then grow $x$ to $2m$ digits. \\ -3. $\mu \leftarrow 0$ \\ -4. for $i$ from $0$ to $m - 1$ do \\ -\hspace{3mm}4.1 $\hat r \leftarrow k \cdot x_{m+i} + x_{i} + \mu$ \\ -\hspace{3mm}4.2 $x_{i} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}4.3 $\mu \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -5. $x_{m} \leftarrow \mu$ \\ -6. for $i$ from $m + 1$ to $x.used - 1$ do \\ -\hspace{3mm}6.1 $x_{i} \leftarrow 0$ \\ -7. Clamp excess digits of $x$. \\ -8. If $x \ge n$ then \\ -\hspace{3mm}8.1 $x \leftarrow x - n$ \\ -\hspace{3mm}8.2 Goto step 3. \\ -9. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_dr\_reduce} -\end{figure} - -\textbf{Algorithm mp\_dr\_reduce.} -This algorithm will perform the Dimished Radix reduction of $x$ modulo $n$. It has similar restrictions to that of the Barrett reduction -with the addition that $n$ must be of the form $n = \beta^m - k$ where $0 < k <\beta$. - -This algorithm essentially implements the pseudo-code in figure~\ref{fig:DR} except with a slight optimization. The division by $\beta^m$, multiplication by $k$ -and addition of $x \mbox{ mod }\beta^m$ are all performed simultaneously inside the loop on step 4. The division by $\beta^m$ is emulated by accessing -the term at the $m+i$'th position which is subsequently multiplied by $k$ and added to the term at the $i$'th position. After the loop the $m$'th -digit is set to the carry and the upper digits are zeroed. Steps 5 and 6 emulate the reduction modulo $\beta^m$ that should have happend to -$x$ before the addition of the multiple of the upper half. - -At step 8 if $x$ is still larger than $n$ another pass of the algorithm is required. First $n$ is subtracted from $x$ and then the algorithm resumes -at step 3. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_dr\_reduce.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The first step is to grow $x$ as required to $2m$ digits since the reduction is performed in place on $x$. The label on line 52 is where -the algorithm will resume if further reduction passes are required. In theory it could be placed at the top of the function however, the size of -the modulus and question of whether $x$ is large enough are invariant after the first pass meaning that it would be a waste of time. - -The aliases $tmpx1$ and $tmpx2$ refer to the digits of $x$ where the latter is offset by $m$ digits. By reading digits from $x$ offset by $m$ digits -a division by $\beta^m$ can be simulated virtually for free. The loop on line 64 performs the bulk of the work (\textit{corresponds to step 4 of algorithm 7.11}) -in this algorithm. - -By line 67 the pointer $tmpx1$ points to the $m$'th digit of $x$ which is where the final carry will be placed. Similarly by line 74 the -same pointer will point to the $m+1$'th digit where the zeroes will be placed. - -Since the algorithm is only valid if both $x$ and $n$ are greater than zero an unsigned comparison suffices to determine if another pass is required. -With the same logic at line 81 the value of $x$ is known to be greater than or equal to $n$ meaning that an unsigned subtraction can be used -as well. Since the destination of the subtraction is the larger of the inputs the call to algorithm s\_mp\_sub cannot fail and the return code -does not need to be checked. - -\subsubsection{Setup} -To setup the restricted Diminished Radix algorithm the value $k = \beta - n_0$ is required. This algorithm is not really complicated but provided for -completeness. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_dr\_setup}. \\ -\textbf{Input}. mp\_int $n$ \\ -\textbf{Output}. $k = \beta - n_0$ \\ -\hline \\ -1. $k \leftarrow \beta - n_0$ \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_dr\_setup} -\end{figure} - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_dr\_setup.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\subsubsection{Modulus Detection} -Another algorithm which will be useful is the ability to detect a restricted Diminished Radix modulus. An integer is said to be -of restricted Diminished Radix form if all of the digits are equal to $\beta - 1$ except the trailing digit which may be any value. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_dr\_is\_modulus}. \\ -\textbf{Input}. mp\_int $n$ \\ -\textbf{Output}. $1$ if $n$ is in D.R form, $0$ otherwise \\ -\hline -1. If $n.used < 2$ then return($0$). \\ -2. for $ix$ from $1$ to $n.used - 1$ do \\ -\hspace{3mm}2.1 If $n_{ix} \ne \beta - 1$ return($0$). \\ -3. Return($1$). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_dr\_is\_modulus} -\end{figure} - -\textbf{Algorithm mp\_dr\_is\_modulus.} -This algorithm determines if a value is in Diminished Radix form. Step 1 rejects obvious cases where fewer than two digits are -in the mp\_int. Step 2 tests all but the first digit to see if they are equal to $\beta - 1$. If the algorithm manages to get to -step 3 then $n$ must be of Diminished Radix form. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_dr\_is\_modulus.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\subsection{Unrestricted Diminished Radix Reduction} -The unrestricted Diminished Radix algorithm allows modular reductions to be performed when the modulus is of the form $2^p - k$. This algorithm -is a straightforward adaptation of algorithm~\ref{fig:DR}. - -In general the restricted Diminished Radix reduction algorithm is much faster since it has considerably lower overhead. However, this new -algorithm is much faster than either Montgomery or Barrett reduction when the moduli are of the appropriate form. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_reduce\_2k}. \\ -\textbf{Input}. mp\_int $a$ and $n$. mp\_digit $k$ \\ -\hspace{11.5mm}($a \ge 0$, $n > 1$, $0 < k < \beta$, $n + k$ is a power of two) \\ -\textbf{Output}. $a \mbox{ (mod }n\mbox{)}$ \\ -\hline -1. $p \leftarrow \lceil lg(n) \rceil$ (\textit{mp\_count\_bits}) \\ -2. While $a \ge n$ do \\ -\hspace{3mm}2.1 $q \leftarrow \lfloor a / 2^p \rfloor$ (\textit{mp\_div\_2d}) \\ -\hspace{3mm}2.2 $a \leftarrow a \mbox{ (mod }2^p\mbox{)}$ (\textit{mp\_mod\_2d}) \\ -\hspace{3mm}2.3 $q \leftarrow q \cdot k$ (\textit{mp\_mul\_d}) \\ -\hspace{3mm}2.4 $a \leftarrow a - q$ (\textit{s\_mp\_sub}) \\ -\hspace{3mm}2.5 If $a \ge n$ then do \\ -\hspace{6mm}2.5.1 $a \leftarrow a - n$ \\ -3. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_reduce\_2k} -\end{figure} - -\textbf{Algorithm mp\_reduce\_2k.} -This algorithm quickly reduces an input $a$ modulo an unrestricted Diminished Radix modulus $n$. Division by $2^p$ is emulated with a right -shift which makes the algorithm fairly inexpensive to use. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_reduce\_2k.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The algorithm mp\_count\_bits calculates the number of bits in an mp\_int which is used to find the initial value of $p$. The call to mp\_div\_2d -on line 31 calculates both the quotient $q$ and the remainder $a$ required. By doing both in a single function call the code size -is kept fairly small. The multiplication by $k$ is only performed if $k > 1$. This allows reductions modulo $2^p - 1$ to be performed without -any multiplications. - -The unsigned s\_mp\_add, mp\_cmp\_mag and s\_mp\_sub are used in place of their full sign counterparts since the inputs are only valid if they are -positive. By using the unsigned versions the overhead is kept to a minimum. - -\subsubsection{Unrestricted Setup} -To setup this reduction algorithm the value of $k = 2^p - n$ is required. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_reduce\_2k\_setup}. \\ -\textbf{Input}. mp\_int $n$ \\ -\textbf{Output}. $k = 2^p - n$ \\ -\hline -1. $p \leftarrow \lceil lg(n) \rceil$ (\textit{mp\_count\_bits}) \\ -2. $x \leftarrow 2^p$ (\textit{mp\_2expt}) \\ -3. $x \leftarrow x - n$ (\textit{mp\_sub}) \\ -4. $k \leftarrow x_0$ \\ -5. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_reduce\_2k\_setup} -\end{figure} - -\textbf{Algorithm mp\_reduce\_2k\_setup.} -This algorithm computes the value of $k$ required for the algorithm mp\_reduce\_2k. By making a temporary variable $x$ equal to $2^p$ a subtraction -is sufficient to solve for $k$. Alternatively if $n$ has more than one digit the value of $k$ is simply $\beta - n_0$. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_reduce\_2k\_setup.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\subsubsection{Unrestricted Detection} -An integer $n$ is a valid unrestricted Diminished Radix modulus if either of the following are true. - -\begin{enumerate} -\item The number has only one digit. -\item The number has more than one digit and every bit from the $\beta$'th to the most significant is one. -\end{enumerate} - -If either condition is true than there is a power of two $2^p$ such that $0 < 2^p - n < \beta$. If the input is only -one digit than it will always be of the correct form. Otherwise all of the bits above the first digit must be one. This arises from the fact -that there will be value of $k$ that when added to the modulus causes a carry in the first digit which propagates all the way to the most -significant bit. The resulting sum will be a power of two. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_reduce\_is\_2k}. \\ -\textbf{Input}. mp\_int $n$ \\ -\textbf{Output}. $1$ if of proper form, $0$ otherwise \\ -\hline -1. If $n.used = 0$ then return($0$). \\ -2. If $n.used = 1$ then return($1$). \\ -3. $p \leftarrow \lceil lg(n) \rceil$ (\textit{mp\_count\_bits}) \\ -4. for $x$ from $lg(\beta)$ to $p$ do \\ -\hspace{3mm}4.1 If the ($x \mbox{ mod }lg(\beta)$)'th bit of the $\lfloor x / lg(\beta) \rfloor$ of $n$ is zero then return($0$). \\ -5. Return($1$). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_reduce\_is\_2k} -\end{figure} - -\textbf{Algorithm mp\_reduce\_is\_2k.} -This algorithm quickly determines if a modulus is of the form required for algorithm mp\_reduce\_2k to function properly. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_reduce\_is\_2k.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - - - -\section{Algorithm Comparison} -So far three very different algorithms for modular reduction have been discussed. Each of the algorithms have their own strengths and weaknesses -that makes having such a selection very useful. The following table sumarizes the three algorithms along with comparisons of work factors. Since -all three algorithms have the restriction that $0 \le x < n^2$ and $n > 1$ those limitations are not included in the table. - -\begin{center} -\begin{small} -\begin{tabular}{|c|c|c|c|c|c|} -\hline \textbf{Method} & \textbf{Work Required} & \textbf{Limitations} & \textbf{$m = 8$} & \textbf{$m = 32$} & \textbf{$m = 64$} \\ -\hline Barrett & $m^2 + 2m - 1$ & None & $79$ & $1087$ & $4223$ \\ -\hline Montgomery & $m^2 + m$ & $n$ must be odd & $72$ & $1056$ & $4160$ \\ -\hline D.R. & $2m$ & $n = \beta^m - k$ & $16$ & $64$ & $128$ \\ -\hline -\end{tabular} -\end{small} -\end{center} - -In theory Montgomery and Barrett reductions would require roughly the same amount of time to complete. However, in practice since Montgomery -reduction can be written as a single function with the Comba technique it is much faster. Barrett reduction suffers from the overhead of -calling the half precision multipliers, addition and division by $\beta$ algorithms. - -For almost every cryptographic algorithm Montgomery reduction is the algorithm of choice. The one set of algorithms where Diminished Radix reduction truly -shines are based on the discrete logarithm problem such as Diffie-Hellman \cite{DH} and ElGamal \cite{ELGAMAL}. In these algorithms -primes of the form $\beta^m - k$ can be found and shared amongst users. These primes will allow the Diminished Radix algorithm to be used in -modular exponentiation to greatly speed up the operation. - - - -\section*{Exercises} -\begin{tabular}{cl} -$\left [ 3 \right ]$ & Prove that the ``trick'' in algorithm mp\_montgomery\_setup actually \\ - & calculates the correct value of $\rho$. \\ - & \\ -$\left [ 2 \right ]$ & Devise an algorithm to reduce modulo $n + k$ for small $k$ quickly. \\ - & \\ -$\left [ 4 \right ]$ & Prove that the pseudo-code algorithm ``Diminished Radix Reduction'' \\ - & (\textit{figure~\ref{fig:DR}}) terminates. Also prove the probability that it will \\ - & terminate within $1 \le k \le 10$ iterations. \\ - & \\ -\end{tabular} - - -\chapter{Exponentiation} -Exponentiation is the operation of raising one variable to the power of another, for example, $a^b$. A variant of exponentiation, computed -in a finite field or ring, is called modular exponentiation. This latter style of operation is typically used in public key -cryptosystems such as RSA and Diffie-Hellman. The ability to quickly compute modular exponentiations is of great benefit to any -such cryptosystem and many methods have been sought to speed it up. - -\section{Exponentiation Basics} -A trivial algorithm would simply multiply $a$ against itself $b - 1$ times to compute the exponentiation desired. However, as $b$ grows in size -the number of multiplications becomes prohibitive. Imagine what would happen if $b$ $\approx$ $2^{1024}$ as is the case when computing an RSA signature -with a $1024$-bit key. Such a calculation could never be completed as it would take simply far too long. - -Fortunately there is a very simple algorithm based on the laws of exponents. Recall that $lg_a(a^b) = b$ and that $lg_a(a^ba^c) = b + c$ which -are two trivial relationships between the base and the exponent. Let $b_i$ represent the $i$'th bit of $b$ starting from the least -significant bit. If $b$ is a $k$-bit integer than the following equation is true. - -\begin{equation} -a^b = \prod_{i=0}^{k-1} a^{2^i \cdot b_i} -\end{equation} - -By taking the base $a$ logarithm of both sides of the equation the following equation is the result. - -\begin{equation} -b = \sum_{i=0}^{k-1}2^i \cdot b_i -\end{equation} - -The term $a^{2^i}$ can be found from the $i - 1$'th term by squaring the term since $\left ( a^{2^i} \right )^2$ is equal to -$a^{2^{i+1}}$. This observation forms the basis of essentially all fast exponentiation algorithms. It requires $k$ squarings and on average -$k \over 2$ multiplications to compute the result. This is indeed quite an improvement over simply multiplying by $a$ a total of $b-1$ times. - -While this current method is a considerable speed up there are further improvements to be made. For example, the $a^{2^i}$ term does not need to -be computed in an auxilary variable. Consider the following equivalent algorithm. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Left to Right Exponentiation}. \\ -\textbf{Input}. Integer $a$, $b$ and $k$ \\ -\textbf{Output}. $c = a^b$ \\ -\hline \\ -1. $c \leftarrow 1$ \\ -2. for $i$ from $k - 1$ to $0$ do \\ -\hspace{3mm}2.1 $c \leftarrow c^2$ \\ -\hspace{3mm}2.2 $c \leftarrow c \cdot a^{b_i}$ \\ -3. Return $c$. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Left to Right Exponentiation} -\label{fig:LTOR} -\end{figure} - -This algorithm starts from the most significant bit and works towards the least significant bit. When the $i$'th bit of $b$ is set $a$ is -multiplied against the current product. In each iteration the product is squared which doubles the exponent of the individual terms of the -product. - -For example, let $b = 101100_2 \equiv 44_{10}$. The following chart demonstrates the actions of the algorithm. - -\newpage\begin{figure} -\begin{center} -\begin{tabular}{|c|c|} -\hline \textbf{Value of $i$} & \textbf{Value of $c$} \\ -\hline - & $1$ \\ -\hline $5$ & $a$ \\ -\hline $4$ & $a^2$ \\ -\hline $3$ & $a^4 \cdot a$ \\ -\hline $2$ & $a^8 \cdot a^2 \cdot a$ \\ -\hline $1$ & $a^{16} \cdot a^4 \cdot a^2$ \\ -\hline $0$ & $a^{32} \cdot a^8 \cdot a^4$ \\ -\hline -\end{tabular} -\end{center} -\caption{Example of Left to Right Exponentiation} -\end{figure} - -When the product $a^{32} \cdot a^8 \cdot a^4$ is simplified it is equal $a^{44}$ which is the desired exponentiation. This particular algorithm is -called ``Left to Right'' because it reads the exponent in that order. All of the exponentiation algorithms that will be presented are of this nature. - -\subsection{Single Digit Exponentiation} -The first algorithm in the series of exponentiation algorithms will be an unbounded algorithm where the exponent is a single digit. It is intended -to be used when a small power of an input is required (\textit{e.g. $a^5$}). It is faster than simply multiplying $b - 1$ times for all values of -$b$ that are greater than three. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_expt\_d}. \\ -\textbf{Input}. mp\_int $a$ and mp\_digit $b$ \\ -\textbf{Output}. $c = a^b$ \\ -\hline \\ -1. $g \leftarrow a$ (\textit{mp\_init\_copy}) \\ -2. $c \leftarrow 1$ (\textit{mp\_set}) \\ -3. for $x$ from 1 to $lg(\beta)$ do \\ -\hspace{3mm}3.1 $c \leftarrow c^2$ (\textit{mp\_sqr}) \\ -\hspace{3mm}3.2 If $b$ AND $2^{lg(\beta) - 1} \ne 0$ then \\ -\hspace{6mm}3.2.1 $c \leftarrow c \cdot g$ (\textit{mp\_mul}) \\ -\hspace{3mm}3.3 $b \leftarrow b << 1$ \\ -4. Clear $g$. \\ -5. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_expt\_d} -\end{figure} - -\textbf{Algorithm mp\_expt\_d.} -This algorithm computes the value of $a$ raised to the power of a single digit $b$. It uses the left to right exponentiation algorithm to -quickly compute the exponentiation. It is loosely based on algorithm 14.79 of HAC \cite[pp. 615]{HAC} with the difference that the -exponent is a fixed width. - -A copy of $a$ is made first to allow destination variable $c$ be the same as the source variable $a$. The result is set to the initial value of -$1$ in the subsequent step. - -Inside the loop the exponent is read from the most significant bit first down to the least significant bit. First $c$ is invariably squared -on step 3.1. In the following step if the most significant bit of $b$ is one the copy of $a$ is multiplied against $c$. The value -of $b$ is shifted left one bit to make the next bit down from the most signficant bit the new most significant bit. In effect each -iteration of the loop moves the bits of the exponent $b$ upwards to the most significant location. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_expt\_d.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Line 29 sets the initial value of the result to $1$. Next the loop on line 31 steps through each bit of the exponent starting from -the most significant down towards the least significant. The invariant squaring operation placed on line 33 is performed first. After -the squaring the result $c$ is multiplied by the base $g$ if and only if the most significant bit of the exponent is set. The shift on line -47 moves all of the bits of the exponent upwards towards the most significant location. - -\section{$k$-ary Exponentiation} -When calculating an exponentiation the most time consuming bottleneck is the multiplications which are in general a small factor -slower than squaring. Recall from the previous algorithm that $b_{i}$ refers to the $i$'th bit of the exponent $b$. Suppose instead it referred to -the $i$'th $k$-bit digit of the exponent of $b$. For $k = 1$ the definitions are synonymous and for $k > 1$ algorithm~\ref{fig:KARY} -computes the same exponentiation. A group of $k$ bits from the exponent is called a \textit{window}. That is it is a small window on only a -portion of the entire exponent. Consider the following modification to the basic left to right exponentiation algorithm. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{$k$-ary Exponentiation}. \\ -\textbf{Input}. Integer $a$, $b$, $k$ and $t$ \\ -\textbf{Output}. $c = a^b$ \\ -\hline \\ -1. $c \leftarrow 1$ \\ -2. for $i$ from $t - 1$ to $0$ do \\ -\hspace{3mm}2.1 $c \leftarrow c^{2^k} $ \\ -\hspace{3mm}2.2 Extract the $i$'th $k$-bit word from $b$ and store it in $g$. \\ -\hspace{3mm}2.3 $c \leftarrow c \cdot a^g$ \\ -3. Return $c$. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{$k$-ary Exponentiation} -\label{fig:KARY} -\end{figure} - -The squaring on step 2.1 can be calculated by squaring the value $c$ successively $k$ times. If the values of $a^g$ for $0 < g < 2^k$ have been -precomputed this algorithm requires only $t$ multiplications and $tk$ squarings. The table can be generated with $2^{k - 1} - 1$ squarings and -$2^{k - 1} + 1$ multiplications. This algorithm assumes that the number of bits in the exponent is evenly divisible by $k$. -However, when it is not the remaining $0 < x \le k - 1$ bits can be handled with algorithm~\ref{fig:LTOR}. - -Suppose $k = 4$ and $t = 100$. This modified algorithm will require $109$ multiplications and $408$ squarings to compute the exponentiation. The -original algorithm would on average have required $200$ multiplications and $400$ squrings to compute the same value. The total number of squarings -has increased slightly but the number of multiplications has nearly halved. - -\subsection{Optimal Values of $k$} -An optimal value of $k$ will minimize $2^{k} + \lceil n / k \rceil + n - 1$ for a fixed number of bits in the exponent $n$. The simplest -approach is to brute force search amongst the values $k = 2, 3, \ldots, 8$ for the lowest result. Table~\ref{fig:OPTK} lists optimal values of $k$ -for various exponent sizes and compares the number of multiplication and squarings required against algorithm~\ref{fig:LTOR}. - -\begin{figure}[here] -\begin{center} -\begin{small} -\begin{tabular}{|c|c|c|c|c|c|} -\hline \textbf{Exponent (bits)} & \textbf{Optimal $k$} & \textbf{Work at $k$} & \textbf{Work with ~\ref{fig:LTOR}} \\ -\hline $16$ & $2$ & $27$ & $24$ \\ -\hline $32$ & $3$ & $49$ & $48$ \\ -\hline $64$ & $3$ & $92$ & $96$ \\ -\hline $128$ & $4$ & $175$ & $192$ \\ -\hline $256$ & $4$ & $335$ & $384$ \\ -\hline $512$ & $5$ & $645$ & $768$ \\ -\hline $1024$ & $6$ & $1257$ & $1536$ \\ -\hline $2048$ & $6$ & $2452$ & $3072$ \\ -\hline $4096$ & $7$ & $4808$ & $6144$ \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Optimal Values of $k$ for $k$-ary Exponentiation} -\label{fig:OPTK} -\end{figure} - -\subsection{Sliding-Window Exponentiation} -A simple modification to the previous algorithm is only generate the upper half of the table in the range $2^{k-1} \le g < 2^k$. Essentially -this is a table for all values of $g$ where the most significant bit of $g$ is a one. However, in order for this to be allowed in the -algorithm values of $g$ in the range $0 \le g < 2^{k-1}$ must be avoided. - -Table~\ref{fig:OPTK2} lists optimal values of $k$ for various exponent sizes and compares the work required against algorithm~\ref{fig:KARY}. - -\begin{figure}[here] -\begin{center} -\begin{small} -\begin{tabular}{|c|c|c|c|c|c|} -\hline \textbf{Exponent (bits)} & \textbf{Optimal $k$} & \textbf{Work at $k$} & \textbf{Work with ~\ref{fig:KARY}} \\ -\hline $16$ & $3$ & $24$ & $27$ \\ -\hline $32$ & $3$ & $45$ & $49$ \\ -\hline $64$ & $4$ & $87$ & $92$ \\ -\hline $128$ & $4$ & $167$ & $175$ \\ -\hline $256$ & $5$ & $322$ & $335$ \\ -\hline $512$ & $6$ & $628$ & $645$ \\ -\hline $1024$ & $6$ & $1225$ & $1257$ \\ -\hline $2048$ & $7$ & $2403$ & $2452$ \\ -\hline $4096$ & $8$ & $4735$ & $4808$ \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Optimal Values of $k$ for Sliding Window Exponentiation} -\label{fig:OPTK2} -\end{figure} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Sliding Window $k$-ary Exponentiation}. \\ -\textbf{Input}. Integer $a$, $b$, $k$ and $t$ \\ -\textbf{Output}. $c = a^b$ \\ -\hline \\ -1. $c \leftarrow 1$ \\ -2. for $i$ from $t - 1$ to $0$ do \\ -\hspace{3mm}2.1 If the $i$'th bit of $b$ is a zero then \\ -\hspace{6mm}2.1.1 $c \leftarrow c^2$ \\ -\hspace{3mm}2.2 else do \\ -\hspace{6mm}2.2.1 $c \leftarrow c^{2^k}$ \\ -\hspace{6mm}2.2.2 Extract the $k$ bits from $(b_{i}b_{i-1}\ldots b_{i-(k-1)})$ and store it in $g$. \\ -\hspace{6mm}2.2.3 $c \leftarrow c \cdot a^g$ \\ -\hspace{6mm}2.2.4 $i \leftarrow i - k$ \\ -3. Return $c$. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Sliding Window $k$-ary Exponentiation} -\end{figure} - -Similar to the previous algorithm this algorithm must have a special handler when fewer than $k$ bits are left in the exponent. While this -algorithm requires the same number of squarings it can potentially have fewer multiplications. The pre-computed table $a^g$ is also half -the size as the previous table. - -Consider the exponent $b = 111101011001000_2 \equiv 31432_{10}$ with $k = 3$ using both algorithms. The first algorithm will divide the exponent up as -the following five $3$-bit words $b \equiv \left ( 111, 101, 011, 001, 000 \right )_{2}$. The second algorithm will break the -exponent as $b \equiv \left ( 111, 101, 0, 110, 0, 100, 0 \right )_{2}$. The single digit $0$ in the second representation are where -a single squaring took place instead of a squaring and multiplication. In total the first method requires $10$ multiplications and $18$ -squarings. The second method requires $8$ multiplications and $18$ squarings. - -In general the sliding window method is never slower than the generic $k$-ary method and often it is slightly faster. - -\section{Modular Exponentiation} - -Modular exponentiation is essentially computing the power of a base within a finite field or ring. For example, computing -$d \equiv a^b \mbox{ (mod }c\mbox{)}$ is a modular exponentiation. Instead of first computing $a^b$ and then reducing it -modulo $c$ the intermediate result is reduced modulo $c$ after every squaring or multiplication operation. - -This guarantees that any intermediate result is bounded by $0 \le d \le c^2 - 2c + 1$ and can be reduced modulo $c$ quickly using -one of the algorithms presented in chapter six. - -Before the actual modular exponentiation algorithm can be written a wrapper algorithm must be written first. This algorithm -will allow the exponent $b$ to be negative which is computed as $c \equiv \left (1 / a \right )^{\vert b \vert} \mbox{(mod }d\mbox{)}$. The -value of $(1/a) \mbox{ mod }c$ is computed using the modular inverse (\textit{see \ref{sec;modinv}}). If no inverse exists the algorithm -terminates with an error. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_exptmod}. \\ -\textbf{Input}. mp\_int $a$, $b$ and $c$ \\ -\textbf{Output}. $y \equiv g^x \mbox{ (mod }p\mbox{)}$ \\ -\hline \\ -1. If $c.sign = MP\_NEG$ return(\textit{MP\_VAL}). \\ -2. If $b.sign = MP\_NEG$ then \\ -\hspace{3mm}2.1 $g' \leftarrow g^{-1} \mbox{ (mod }c\mbox{)}$ \\ -\hspace{3mm}2.2 $x' \leftarrow \vert x \vert$ \\ -\hspace{3mm}2.3 Compute $d \equiv g'^{x'} \mbox{ (mod }c\mbox{)}$ via recursion. \\ -3. if $p$ is odd \textbf{OR} $p$ is a D.R. modulus then \\ -\hspace{3mm}3.1 Compute $y \equiv g^{x} \mbox{ (mod }p\mbox{)}$ via algorithm mp\_exptmod\_fast. \\ -4. else \\ -\hspace{3mm}4.1 Compute $y \equiv g^{x} \mbox{ (mod }p\mbox{)}$ via algorithm s\_mp\_exptmod. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_exptmod} -\end{figure} - -\textbf{Algorithm mp\_exptmod.} -The first algorithm which actually performs modular exponentiation is algorithm s\_mp\_exptmod. It is a sliding window $k$-ary algorithm -which uses Barrett reduction to reduce the product modulo $p$. The second algorithm mp\_exptmod\_fast performs the same operation -except it uses either Montgomery or Diminished Radix reduction. The two latter reduction algorithms are clumped in the same exponentiation -algorithm since their arguments are essentially the same (\textit{two mp\_ints and one mp\_digit}). - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_exptmod.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -In order to keep the algorithms in a known state the first step on line 29 is to reject any negative modulus as input. If the exponent is -negative the algorithm tries to perform a modular exponentiation with the modular inverse of the base $G$. The temporary variable $tmpG$ is assigned -the modular inverse of $G$ and $tmpX$ is assigned the absolute value of $X$. The algorithm will recuse with these new values with a positive -exponent. - -If the exponent is positive the algorithm resumes the exponentiation. Line 77 determines if the modulus is of the restricted Diminished Radix -form. If it is not line 70 attempts to determine if it is of a unrestricted Diminished Radix form. The integer $dr$ will take on one -of three values. - -\begin{enumerate} -\item $dr = 0$ means that the modulus is not of either restricted or unrestricted Diminished Radix form. -\item $dr = 1$ means that the modulus is of restricted Diminished Radix form. -\item $dr = 2$ means that the modulus is of unrestricted Diminished Radix form. -\end{enumerate} - -Line 69 determines if the fast modular exponentiation algorithm can be used. It is allowed if $dr \ne 0$ or if the modulus is odd. Otherwise, -the slower s\_mp\_exptmod algorithm is used which uses Barrett reduction. - -\subsection{Barrett Modular Exponentiation} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{s\_mp\_exptmod}. \\ -\textbf{Input}. mp\_int $a$, $b$ and $c$ \\ -\textbf{Output}. $y \equiv g^x \mbox{ (mod }p\mbox{)}$ \\ -\hline \\ -1. $k \leftarrow lg(x)$ \\ -2. $winsize \leftarrow \left \lbrace \begin{array}{ll} - 2 & \mbox{if }k \le 7 \\ - 3 & \mbox{if }7 < k \le 36 \\ - 4 & \mbox{if }36 < k \le 140 \\ - 5 & \mbox{if }140 < k \le 450 \\ - 6 & \mbox{if }450 < k \le 1303 \\ - 7 & \mbox{if }1303 < k \le 3529 \\ - 8 & \mbox{if }3529 < k \\ - \end{array} \right .$ \\ -3. Initialize $2^{winsize}$ mp\_ints in an array named $M$ and one mp\_int named $\mu$ \\ -4. Calculate the $\mu$ required for Barrett Reduction (\textit{mp\_reduce\_setup}). \\ -5. $M_1 \leftarrow g \mbox{ (mod }p\mbox{)}$ \\ -\\ -Setup the table of small powers of $g$. First find $g^{2^{winsize}}$ and then all multiples of it. \\ -6. $k \leftarrow 2^{winsize - 1}$ \\ -7. $M_{k} \leftarrow M_1$ \\ -8. for $ix$ from 0 to $winsize - 2$ do \\ -\hspace{3mm}8.1 $M_k \leftarrow \left ( M_k \right )^2$ (\textit{mp\_sqr}) \\ -\hspace{3mm}8.2 $M_k \leftarrow M_k \mbox{ (mod }p\mbox{)}$ (\textit{mp\_reduce}) \\ -9. for $ix$ from $2^{winsize - 1} + 1$ to $2^{winsize} - 1$ do \\ -\hspace{3mm}9.1 $M_{ix} \leftarrow M_{ix - 1} \cdot M_{1}$ (\textit{mp\_mul}) \\ -\hspace{3mm}9.2 $M_{ix} \leftarrow M_{ix} \mbox{ (mod }p\mbox{)}$ (\textit{mp\_reduce}) \\ -10. $res \leftarrow 1$ \\ -\\ -Start Sliding Window. \\ -11. $mode \leftarrow 0, bitcnt \leftarrow 1, buf \leftarrow 0, digidx \leftarrow x.used - 1, bitcpy \leftarrow 0, bitbuf \leftarrow 0$ \\ -12. Loop \\ -\hspace{3mm}12.1 $bitcnt \leftarrow bitcnt - 1$ \\ -\hspace{3mm}12.2 If $bitcnt = 0$ then do \\ -\hspace{6mm}12.2.1 If $digidx = -1$ goto step 13. \\ -\hspace{6mm}12.2.2 $buf \leftarrow x_{digidx}$ \\ -\hspace{6mm}12.2.3 $digidx \leftarrow digidx - 1$ \\ -\hspace{6mm}12.2.4 $bitcnt \leftarrow lg(\beta)$ \\ -Continued on next page. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm s\_mp\_exptmod} -\end{figure} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{s\_mp\_exptmod} (\textit{continued}). \\ -\textbf{Input}. mp\_int $a$, $b$ and $c$ \\ -\textbf{Output}. $y \equiv g^x \mbox{ (mod }p\mbox{)}$ \\ -\hline \\ -\hspace{3mm}12.3 $y \leftarrow (buf >> (lg(\beta) - 1))$ AND $1$ \\ -\hspace{3mm}12.4 $buf \leftarrow buf << 1$ \\ -\hspace{3mm}12.5 if $mode = 0$ and $y = 0$ then goto step 12. \\ -\hspace{3mm}12.6 if $mode = 1$ and $y = 0$ then do \\ -\hspace{6mm}12.6.1 $res \leftarrow res^2$ \\ -\hspace{6mm}12.6.2 $res \leftarrow res \mbox{ (mod }p\mbox{)}$ \\ -\hspace{6mm}12.6.3 Goto step 12. \\ -\hspace{3mm}12.7 $bitcpy \leftarrow bitcpy + 1$ \\ -\hspace{3mm}12.8 $bitbuf \leftarrow bitbuf + (y << (winsize - bitcpy))$ \\ -\hspace{3mm}12.9 $mode \leftarrow 2$ \\ -\hspace{3mm}12.10 If $bitcpy = winsize$ then do \\ -\hspace{6mm}Window is full so perform the squarings and single multiplication. \\ -\hspace{6mm}12.10.1 for $ix$ from $0$ to $winsize -1$ do \\ -\hspace{9mm}12.10.1.1 $res \leftarrow res^2$ \\ -\hspace{9mm}12.10.1.2 $res \leftarrow res \mbox{ (mod }p\mbox{)}$ \\ -\hspace{6mm}12.10.2 $res \leftarrow res \cdot M_{bitbuf}$ \\ -\hspace{6mm}12.10.3 $res \leftarrow res \mbox{ (mod }p\mbox{)}$ \\ -\hspace{6mm}Reset the window. \\ -\hspace{6mm}12.10.4 $bitcpy \leftarrow 0, bitbuf \leftarrow 0, mode \leftarrow 1$ \\ -\\ -No more windows left. Check for residual bits of exponent. \\ -13. If $mode = 2$ and $bitcpy > 0$ then do \\ -\hspace{3mm}13.1 for $ix$ form $0$ to $bitcpy - 1$ do \\ -\hspace{6mm}13.1.1 $res \leftarrow res^2$ \\ -\hspace{6mm}13.1.2 $res \leftarrow res \mbox{ (mod }p\mbox{)}$ \\ -\hspace{6mm}13.1.3 $bitbuf \leftarrow bitbuf << 1$ \\ -\hspace{6mm}13.1.4 If $bitbuf$ AND $2^{winsize} \ne 0$ then do \\ -\hspace{9mm}13.1.4.1 $res \leftarrow res \cdot M_{1}$ \\ -\hspace{9mm}13.1.4.2 $res \leftarrow res \mbox{ (mod }p\mbox{)}$ \\ -14. $y \leftarrow res$ \\ -15. Clear $res$, $mu$ and the $M$ array. \\ -16. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm s\_mp\_exptmod (continued)} -\end{figure} - -\textbf{Algorithm s\_mp\_exptmod.} -This algorithm computes the $x$'th power of $g$ modulo $p$ and stores the result in $y$. It takes advantage of the Barrett reduction -algorithm to keep the product small throughout the algorithm. - -The first two steps determine the optimal window size based on the number of bits in the exponent. The larger the exponent the -larger the window size becomes. After a window size $winsize$ has been chosen an array of $2^{winsize}$ mp\_int variables is allocated. This -table will hold the values of $g^x \mbox{ (mod }p\mbox{)}$ for $2^{winsize - 1} \le x < 2^{winsize}$. - -After the table is allocated the first power of $g$ is found. Since $g \ge p$ is allowed it must be first reduced modulo $p$ to make -the rest of the algorithm more efficient. The first element of the table at $2^{winsize - 1}$ is found by squaring $M_1$ successively $winsize - 2$ -times. The rest of the table elements are found by multiplying the previous element by $M_1$ modulo $p$. - -Now that the table is available the sliding window may begin. The following list describes the functions of all the variables in the window. -\begin{enumerate} -\item The variable $mode$ dictates how the bits of the exponent are interpreted. -\begin{enumerate} - \item When $mode = 0$ the bits are ignored since no non-zero bit of the exponent has been seen yet. For example, if the exponent were simply - $1$ then there would be $lg(\beta) - 1$ zero bits before the first non-zero bit. In this case bits are ignored until a non-zero bit is found. - \item When $mode = 1$ a non-zero bit has been seen before and a new $winsize$-bit window has not been formed yet. In this mode leading $0$ bits - are read and a single squaring is performed. If a non-zero bit is read a new window is created. - \item When $mode = 2$ the algorithm is in the middle of forming a window and new bits are appended to the window from the most significant bit - downwards. -\end{enumerate} -\item The variable $bitcnt$ indicates how many bits are left in the current digit of the exponent left to be read. When it reaches zero a new digit - is fetched from the exponent. -\item The variable $buf$ holds the currently read digit of the exponent. -\item The variable $digidx$ is an index into the exponents digits. It starts at the leading digit $x.used - 1$ and moves towards the trailing digit. -\item The variable $bitcpy$ indicates how many bits are in the currently formed window. When it reaches $winsize$ the window is flushed and - the appropriate operations performed. -\item The variable $bitbuf$ holds the current bits of the window being formed. -\end{enumerate} - -All of step 12 is the window processing loop. It will iterate while there are digits available form the exponent to read. The first step -inside this loop is to extract a new digit if no more bits are available in the current digit. If there are no bits left a new digit is -read and if there are no digits left than the loop terminates. - -After a digit is made available step 12.3 will extract the most significant bit of the current digit and move all other bits in the digit -upwards. In effect the digit is read from most significant bit to least significant bit and since the digits are read from leading to -trailing edges the entire exponent is read from most significant bit to least significant bit. - -At step 12.5 if the $mode$ and currently extracted bit $y$ are both zero the bit is ignored and the next bit is read. This prevents the -algorithm from having to perform trivial squaring and reduction operations before the first non-zero bit is read. Step 12.6 and 12.7-10 handle -the two cases of $mode = 1$ and $mode = 2$ respectively. - -\begin{center} -\begin{figure}[here] -\includegraphics{pics/expt_state.ps} -\caption{Sliding Window State Diagram} -\label{pic:expt_state} -\end{figure} -\end{center} - -By step 13 there are no more digits left in the exponent. However, there may be partial bits in the window left. If $mode = 2$ then -a Left-to-Right algorithm is used to process the remaining few bits. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_s\_mp\_exptmod.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Lines 32 through 46 determine the optimal window size based on the length of the exponent in bits. The window divisions are sorted -from smallest to greatest so that in each \textbf{if} statement only one condition must be tested. For example, by the \textbf{if} statement -on line 38 the value of $x$ is already known to be greater than $140$. - -The conditional piece of code beginning on line 48 allows the window size to be restricted to five bits. This logic is used to ensure -the table of precomputed powers of $G$ remains relatively small. - -The for loop on line 61 initializes the $M$ array while lines 72 and 77 through 86 initialize the reduction -function that will be used for this modulus. - --- More later. - -\section{Quick Power of Two} -Calculating $b = 2^a$ can be performed much quicker than with any of the previous algorithms. Recall that a logical shift left $m << k$ is -equivalent to $m \cdot 2^k$. By this logic when $m = 1$ a quick power of two can be achieved. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_2expt}. \\ -\textbf{Input}. integer $b$ \\ -\textbf{Output}. $a \leftarrow 2^b$ \\ -\hline \\ -1. $a \leftarrow 0$ \\ -2. If $a.alloc < \lfloor b / lg(\beta) \rfloor + 1$ then grow $a$ appropriately. \\ -3. $a.used \leftarrow \lfloor b / lg(\beta) \rfloor + 1$ \\ -4. $a_{\lfloor b / lg(\beta) \rfloor} \leftarrow 1 << (b \mbox{ mod } lg(\beta))$ \\ -5. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_2expt} -\end{figure} - -\textbf{Algorithm mp\_2expt.} - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_2expt.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\chapter{Higher Level Algorithms} - -This chapter discusses the various higher level algorithms that are required to complete a well rounded multiple precision integer package. These -routines are less performance oriented than the algorithms of chapters five, six and seven but are no less important. - -The first section describes a method of integer division with remainder that is universally well known. It provides the signed division logic -for the package. The subsequent section discusses a set of algorithms which allow a single digit to be the 2nd operand for a variety of operations. -These algorithms serve mostly to simplify other algorithms where small constants are required. The last two sections discuss how to manipulate -various representations of integers. For example, converting from an mp\_int to a string of character. - -\section{Integer Division with Remainder} -\label{sec:division} - -Integer division aside from modular exponentiation is the most intensive algorithm to compute. Like addition, subtraction and multiplication -the basis of this algorithm is the long-hand division algorithm taught to school children. Throughout this discussion several common variables -will be used. Let $x$ represent the divisor and $y$ represent the dividend. Let $q$ represent the integer quotient $\lfloor y / x \rfloor$ and -let $r$ represent the remainder $r = y - x \lfloor y / x \rfloor$. The following simple algorithm will be used to start the discussion. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Radix-$\beta$ Integer Division}. \\ -\textbf{Input}. integer $x$ and $y$ \\ -\textbf{Output}. $q = \lfloor y/x\rfloor, r = y - xq$ \\ -\hline \\ -1. $q \leftarrow 0$ \\ -2. $n \leftarrow \vert \vert y \vert \vert - \vert \vert x \vert \vert$ \\ -3. for $t$ from $n$ down to $0$ do \\ -\hspace{3mm}3.1 Maximize $k$ such that $kx\beta^t$ is less than or equal to $y$ and $(k + 1)x\beta^t$ is greater. \\ -\hspace{3mm}3.2 $q \leftarrow q + k\beta^t$ \\ -\hspace{3mm}3.3 $y \leftarrow y - kx\beta^t$ \\ -4. $r \leftarrow y$ \\ -5. Return($q, r$) \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Radix-$\beta$ Integer Division} -\label{fig:raddiv} -\end{figure} - -As children we are taught this very simple algorithm for the case of $\beta = 10$. Almost instinctively several optimizations are taught for which -their reason of existing are never explained. For this example let $y = 5471$ represent the dividend and $x = 23$ represent the divisor. - -To find the first digit of the quotient the value of $k$ must be maximized such that $kx\beta^t$ is less than or equal to $y$ and -simultaneously $(k + 1)x\beta^t$ is greater than $y$. Implicitly $k$ is the maximum value the $t$'th digit of the quotient may have. The habitual method -used to find the maximum is to ``eyeball'' the two numbers, typically only the leading digits and quickly estimate a quotient. By only using leading -digits a much simpler division may be used to form an educated guess at what the value must be. In this case $k = \lfloor 54/23\rfloor = 2$ quickly -arises as a possible solution. Indeed $2x\beta^2 = 4600$ is less than $y = 5471$ and simultaneously $(k + 1)x\beta^2 = 6900$ is larger than $y$. -As a result $k\beta^2$ is added to the quotient which now equals $q = 200$ and $4600$ is subtracted from $y$ to give a remainder of $y = 841$. - -Again this process is repeated to produce the quotient digit $k = 3$ which makes the quotient $q = 200 + 3\beta = 230$ and the remainder -$y = 841 - 3x\beta = 181$. Finally the last iteration of the loop produces $k = 7$ which leads to the quotient $q = 230 + 7 = 237$ and the -remainder $y = 181 - 7x = 20$. The final quotient and remainder found are $q = 237$ and $r = y = 20$ which are indeed correct since -$237 \cdot 23 + 20 = 5471$ is true. - -\subsection{Quotient Estimation} -\label{sec:divest} -As alluded to earlier the quotient digit $k$ can be estimated from only the leading digits of both the divisor and dividend. When $p$ leading -digits are used from both the divisor and dividend to form an estimation the accuracy of the estimation rises as $p$ grows. Technically -speaking the estimation is based on assuming the lower $\vert \vert y \vert \vert - p$ and $\vert \vert x \vert \vert - p$ lower digits of the -dividend and divisor are zero. - -The value of the estimation may off by a few values in either direction and in general is fairly correct. A simplification \cite[pp. 271]{TAOCPV2} -of the estimation technique is to use $t + 1$ digits of the dividend and $t$ digits of the divisor, in particularly when $t = 1$. The estimate -using this technique is never too small. For the following proof let $t = \vert \vert y \vert \vert - 1$ and $s = \vert \vert x \vert \vert - 1$ -represent the most significant digits of the dividend and divisor respectively. - -\textbf{Proof.}\textit{ The quotient $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ is greater than or equal to -$k = \lfloor y / (x \cdot \beta^{\vert \vert y \vert \vert - \vert \vert x \vert \vert - 1}) \rfloor$. } -The first obvious case is when $\hat k = \beta - 1$ in which case the proof is concluded since the real quotient cannot be larger. For all other -cases $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ and $\hat k x_s \ge y_t\beta + y_{t-1} - x_s + 1$. The latter portion of the inequalility -$-x_s + 1$ arises from the fact that a truncated integer division will give the same quotient for at most $x_s - 1$ values. Next a series of -inequalities will prove the hypothesis. - -\begin{equation} -y - \hat k x \le y - \hat k x_s\beta^s -\end{equation} - -This is trivially true since $x \ge x_s\beta^s$. Next we replace $\hat kx_s\beta^s$ by the previous inequality for $\hat kx_s$. - -\begin{equation} -y - \hat k x \le y_t\beta^t + \ldots + y_0 - (y_t\beta^t + y_{t-1}\beta^{t-1} - x_s\beta^t + \beta^s) -\end{equation} - -By simplifying the previous inequality the following inequality is formed. - -\begin{equation} -y - \hat k x \le y_{t-2}\beta^{t-2} + \ldots + y_0 + x_s\beta^s - \beta^s -\end{equation} - -Subsequently, - -\begin{equation} -y_{t-2}\beta^{t-2} + \ldots + y_0 + x_s\beta^s - \beta^s < x_s\beta^s \le x -\end{equation} - -Which proves that $y - \hat kx \le x$ and by consequence $\hat k \ge k$ which concludes the proof. \textbf{QED} - - -\subsection{Normalized Integers} -For the purposes of division a normalized input is when the divisors leading digit $x_n$ is greater than or equal to $\beta / 2$. By multiplying both -$x$ and $y$ by $j = \lfloor (\beta / 2) / x_n \rfloor$ the quotient remains unchanged and the remainder is simply $j$ times the original -remainder. The purpose of normalization is to ensure the leading digit of the divisor is sufficiently large such that the estimated quotient will -lie in the domain of a single digit. Consider the maximum dividend $(\beta - 1) \cdot \beta + (\beta - 1)$ and the minimum divisor $\beta / 2$. - -\begin{equation} -{{\beta^2 - 1} \over { \beta / 2}} \le 2\beta - {2 \over \beta} -\end{equation} - -At most the quotient approaches $2\beta$, however, in practice this will not occur since that would imply the previous quotient digit was too small. - -\subsection{Radix-$\beta$ Division with Remainder} -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_div}. \\ -\textbf{Input}. mp\_int $a, b$ \\ -\textbf{Output}. $c = \lfloor a/b \rfloor$, $d = a - bc$ \\ -\hline \\ -1. If $b = 0$ return(\textit{MP\_VAL}). \\ -2. If $\vert a \vert < \vert b \vert$ then do \\ -\hspace{3mm}2.1 $d \leftarrow a$ \\ -\hspace{3mm}2.2 $c \leftarrow 0$ \\ -\hspace{3mm}2.3 Return(\textit{MP\_OKAY}). \\ -\\ -Setup the quotient to receive the digits. \\ -3. Grow $q$ to $a.used + 2$ digits. \\ -4. $q \leftarrow 0$ \\ -5. $x \leftarrow \vert a \vert , y \leftarrow \vert b \vert$ \\ -6. $sign \leftarrow \left \lbrace \begin{array}{ll} - MP\_ZPOS & \mbox{if }a.sign = b.sign \\ - MP\_NEG & \mbox{otherwise} \\ - \end{array} \right .$ \\ -\\ -Normalize the inputs such that the leading digit of $y$ is greater than or equal to $\beta / 2$. \\ -7. $norm \leftarrow (lg(\beta) - 1) - (\lceil lg(y) \rceil \mbox{ (mod }lg(\beta)\mbox{)})$ \\ -8. $x \leftarrow x \cdot 2^{norm}, y \leftarrow y \cdot 2^{norm}$ \\ -\\ -Find the leading digit of the quotient. \\ -9. $n \leftarrow x.used - 1, t \leftarrow y.used - 1$ \\ -10. $y \leftarrow y \cdot \beta^{n - t}$ \\ -11. While ($x \ge y$) do \\ -\hspace{3mm}11.1 $q_{n - t} \leftarrow q_{n - t} + 1$ \\ -\hspace{3mm}11.2 $x \leftarrow x - y$ \\ -12. $y \leftarrow \lfloor y / \beta^{n-t} \rfloor$ \\ -\\ -Continued on the next page. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_div} -\end{figure} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_div} (continued). \\ -\textbf{Input}. mp\_int $a, b$ \\ -\textbf{Output}. $c = \lfloor a/b \rfloor$, $d = a - bc$ \\ -\hline \\ -Now find the remainder fo the digits. \\ -13. for $i$ from $n$ down to $(t + 1)$ do \\ -\hspace{3mm}13.1 If $i > x.used$ then jump to the next iteration of this loop. \\ -\hspace{3mm}13.2 If $x_{i} = y_{t}$ then \\ -\hspace{6mm}13.2.1 $q_{i - t - 1} \leftarrow \beta - 1$ \\ -\hspace{3mm}13.3 else \\ -\hspace{6mm}13.3.1 $\hat r \leftarrow x_{i} \cdot \beta + x_{i - 1}$ \\ -\hspace{6mm}13.3.2 $\hat r \leftarrow \lfloor \hat r / y_{t} \rfloor$ \\ -\hspace{6mm}13.3.3 $q_{i - t - 1} \leftarrow \hat r$ \\ -\hspace{3mm}13.4 $q_{i - t - 1} \leftarrow q_{i - t - 1} + 1$ \\ -\\ -Fixup quotient estimation. \\ -\hspace{3mm}13.5 Loop \\ -\hspace{6mm}13.5.1 $q_{i - t - 1} \leftarrow q_{i - t - 1} - 1$ \\ -\hspace{6mm}13.5.2 t$1 \leftarrow 0$ \\ -\hspace{6mm}13.5.3 t$1_0 \leftarrow y_{t - 1}, $ t$1_1 \leftarrow y_t,$ t$1.used \leftarrow 2$ \\ -\hspace{6mm}13.5.4 $t1 \leftarrow t1 \cdot q_{i - t - 1}$ \\ -\hspace{6mm}13.5.5 t$2_0 \leftarrow x_{i - 2}, $ t$2_1 \leftarrow x_{i - 1}, $ t$2_2 \leftarrow x_i, $ t$2.used \leftarrow 3$ \\ -\hspace{6mm}13.5.6 If $\vert t1 \vert > \vert t2 \vert$ then goto step 13.5. \\ -\hspace{3mm}13.6 t$1 \leftarrow y \cdot q_{i - t - 1}$ \\ -\hspace{3mm}13.7 t$1 \leftarrow $ t$1 \cdot \beta^{i - t - 1}$ \\ -\hspace{3mm}13.8 $x \leftarrow x - $ t$1$ \\ -\hspace{3mm}13.9 If $x.sign = MP\_NEG$ then \\ -\hspace{6mm}13.10 t$1 \leftarrow y$ \\ -\hspace{6mm}13.11 t$1 \leftarrow $ t$1 \cdot \beta^{i - t - 1}$ \\ -\hspace{6mm}13.12 $x \leftarrow x + $ t$1$ \\ -\hspace{6mm}13.13 $q_{i - t - 1} \leftarrow q_{i - t - 1} - 1$ \\ -\\ -Finalize the result. \\ -14. Clamp excess digits of $q$ \\ -15. $c \leftarrow q, c.sign \leftarrow sign$ \\ -16. $x.sign \leftarrow a.sign$ \\ -17. $d \leftarrow \lfloor x / 2^{norm} \rfloor$ \\ -18. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_div (continued)} -\end{figure} -\textbf{Algorithm mp\_div.} -This algorithm will calculate quotient and remainder from an integer division given a dividend and divisor. The algorithm is a signed -division and will produce a fully qualified quotient and remainder. - -First the divisor $b$ must be non-zero which is enforced in step one. If the divisor is larger than the dividend than the quotient is implicitly -zero and the remainder is the dividend. - -After the first two trivial cases of inputs are handled the variable $q$ is setup to receive the digits of the quotient. Two unsigned copies of the -divisor $y$ and dividend $x$ are made as well. The core of the division algorithm is an unsigned division and will only work if the values are -positive. Now the two values $x$ and $y$ must be normalized such that the leading digit of $y$ is greater than or equal to $\beta / 2$. -This is performed by shifting both to the left by enough bits to get the desired normalization. - -At this point the division algorithm can begin producing digits of the quotient. Recall that maximum value of the estimation used is -$2\beta - {2 \over \beta}$ which means that a digit of the quotient must be first produced by another means. In this case $y$ is shifted -to the left (\textit{step ten}) so that it has the same number of digits as $x$. The loop on step eleven will subtract multiples of the -shifted copy of $y$ until $x$ is smaller. Since the leading digit of $y$ is greater than or equal to $\beta/2$ this loop will iterate at most two -times to produce the desired leading digit of the quotient. - -Now the remainder of the digits can be produced. The equation $\hat q = \lfloor {{x_i \beta + x_{i-1}}\over y_t} \rfloor$ is used to fairly -accurately approximate the true quotient digit. The estimation can in theory produce an estimation as high as $2\beta - {2 \over \beta}$ but by -induction the upper quotient digit is correct (\textit{as established on step eleven}) and the estimate must be less than $\beta$. - -Recall from section~\ref{sec:divest} that the estimation is never too low but may be too high. The next step of the estimation process is -to refine the estimation. The loop on step 13.5 uses $x_i\beta^2 + x_{i-1}\beta + x_{i-2}$ and $q_{i - t - 1}(y_t\beta + y_{t-1})$ as a higher -order approximation to adjust the quotient digit. - -After both phases of estimation the quotient digit may still be off by a value of one\footnote{This is similar to the error introduced -by optimizing Barrett reduction.}. Steps 13.6 and 13.7 subtract the multiple of the divisor from the dividend (\textit{Similar to step 3.3 of -algorithm~\ref{fig:raddiv}} and then subsequently add a multiple of the divisor if the quotient was too large. - -Now that the quotient has been determine finializing the result is a matter of clamping the quotient, fixing the sizes and de-normalizing the -remainder. An important aspect of this algorithm seemingly overlooked in other descriptions such as that of Algorithm 14.20 HAC \cite[pp. 598]{HAC} -is that when the estimations are being made (\textit{inside the loop on step 13.5}) that the digits $y_{t-1}$, $x_{i-2}$ and $x_{i-1}$ may lie -outside their respective boundaries. For example, if $t = 0$ or $i \le 1$ then the digits would be undefined. In those cases the digits should -respectively be replaced with a zero. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_div.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The implementation of this algorithm differs slightly from the pseudo code presented previously. In this algorithm either of the quotient $c$ or -remainder $d$ may be passed as a \textbf{NULL} pointer which indicates their value is not desired. For example, the C code to call the division -algorithm with only the quotient is - -\begin{verbatim} -mp_div(&a, &b, &c, NULL); /* c = [a/b] */ -\end{verbatim} - -Lines 109 and 113 handle the two trivial cases of inputs which are division by zero and dividend smaller than the divisor -respectively. After the two trivial cases all of the temporary variables are initialized. Line 148 determines the sign of -the quotient and line 148 ensures that both $x$ and $y$ are positive. - -The number of bits in the leading digit is calculated on line 151. Implictly an mp\_int with $r$ digits will require $lg(\beta)(r-1) + k$ bits -of precision which when reduced modulo $lg(\beta)$ produces the value of $k$. In this case $k$ is the number of bits in the leading digit which is -exactly what is required. For the algorithm to operate $k$ must equal $lg(\beta) - 1$ and when it does not the inputs must be normalized by shifting -them to the left by $lg(\beta) - 1 - k$ bits. - -Throughout the variables $n$ and $t$ will represent the highest digit of $x$ and $y$ respectively. These are first used to produce the -leading digit of the quotient. The loop beginning on line 184 will produce the remainder of the quotient digits. - -The conditional ``continue'' on line 187 is used to prevent the algorithm from reading past the leading edge of $x$ which can occur when the -algorithm eliminates multiple non-zero digits in a single iteration. This ensures that $x_i$ is always non-zero since by definition the digits -above the $i$'th position $x$ must be zero in order for the quotient to be precise\footnote{Precise as far as integer division is concerned.}. - -Lines 214, 216 and 223 through 225 manually construct the high accuracy estimations by setting the digits of the two mp\_int -variables directly. - -\section{Single Digit Helpers} - -This section briefly describes a series of single digit helper algorithms which come in handy when working with small constants. All of -the helper functions assume the single digit input is positive and will treat them as such. - -\subsection{Single Digit Addition and Subtraction} - -Both addition and subtraction are performed by ``cheating'' and using mp\_set followed by the higher level addition or subtraction -algorithms. As a result these algorithms are subtantially simpler with a slight cost in performance. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_add\_d}. \\ -\textbf{Input}. mp\_int $a$ and a mp\_digit $b$ \\ -\textbf{Output}. $c = a + b$ \\ -\hline \\ -1. $t \leftarrow b$ (\textit{mp\_set}) \\ -2. $c \leftarrow a + t$ \\ -3. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_add\_d} -\end{figure} - -\textbf{Algorithm mp\_add\_d.} -This algorithm initiates a temporary mp\_int with the value of the single digit and uses algorithm mp\_add to add the two values together. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_add\_d.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Clever use of the letter 't'. - -\subsubsection{Subtraction} -The single digit subtraction algorithm mp\_sub\_d is essentially the same except it uses mp\_sub to subtract the digit from the mp\_int. - -\subsection{Single Digit Multiplication} -Single digit multiplication arises enough in division and radix conversion that it ought to be implement as a special case of the baseline -multiplication algorithm. Essentially this algorithm is a modified version of algorithm s\_mp\_mul\_digs where one of the multiplicands -only has one digit. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_mul\_d}. \\ -\textbf{Input}. mp\_int $a$ and a mp\_digit $b$ \\ -\textbf{Output}. $c = ab$ \\ -\hline \\ -1. $pa \leftarrow a.used$ \\ -2. Grow $c$ to at least $pa + 1$ digits. \\ -3. $oldused \leftarrow c.used$ \\ -4. $c.used \leftarrow pa + 1$ \\ -5. $c.sign \leftarrow a.sign$ \\ -6. $\mu \leftarrow 0$ \\ -7. for $ix$ from $0$ to $pa - 1$ do \\ -\hspace{3mm}7.1 $\hat r \leftarrow \mu + a_{ix}b$ \\ -\hspace{3mm}7.2 $c_{ix} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}7.3 $\mu \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -8. $c_{pa} \leftarrow \mu$ \\ -9. for $ix$ from $pa + 1$ to $oldused$ do \\ -\hspace{3mm}9.1 $c_{ix} \leftarrow 0$ \\ -10. Clamp excess digits of $c$. \\ -11. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_mul\_d} -\end{figure} -\textbf{Algorithm mp\_mul\_d.} -This algorithm quickly multiplies an mp\_int by a small single digit value. It is specially tailored to the job and has a minimal of overhead. -Unlike the full multiplication algorithms this algorithm does not require any significnat temporary storage or memory allocations. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_mul\_d.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -In this implementation the destination $c$ may point to the same mp\_int as the source $a$ since the result is written after the digit is -read from the source. This function uses pointer aliases $tmpa$ and $tmpc$ for the digits of $a$ and $c$ respectively. - -\subsection{Single Digit Division} -Like the single digit multiplication algorithm, single digit division is also a fairly common algorithm used in radix conversion. Since the -divisor is only a single digit a specialized variant of the division algorithm can be used to compute the quotient. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_div\_d}. \\ -\textbf{Input}. mp\_int $a$ and a mp\_digit $b$ \\ -\textbf{Output}. $c = \lfloor a / b \rfloor, d = a - cb$ \\ -\hline \\ -1. If $b = 0$ then return(\textit{MP\_VAL}).\\ -2. If $b = 3$ then use algorithm mp\_div\_3 instead. \\ -3. Init $q$ to $a.used$ digits. \\ -4. $q.used \leftarrow a.used$ \\ -5. $q.sign \leftarrow a.sign$ \\ -6. $\hat w \leftarrow 0$ \\ -7. for $ix$ from $a.used - 1$ down to $0$ do \\ -\hspace{3mm}7.1 $\hat w \leftarrow \hat w \beta + a_{ix}$ \\ -\hspace{3mm}7.2 If $\hat w \ge b$ then \\ -\hspace{6mm}7.2.1 $t \leftarrow \lfloor \hat w / b \rfloor$ \\ -\hspace{6mm}7.2.2 $\hat w \leftarrow \hat w \mbox{ (mod }b\mbox{)}$ \\ -\hspace{3mm}7.3 else\\ -\hspace{6mm}7.3.1 $t \leftarrow 0$ \\ -\hspace{3mm}7.4 $q_{ix} \leftarrow t$ \\ -8. $d \leftarrow \hat w$ \\ -9. Clamp excess digits of $q$. \\ -10. $c \leftarrow q$ \\ -11. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_div\_d} -\end{figure} -\textbf{Algorithm mp\_div\_d.} -This algorithm divides the mp\_int $a$ by the single mp\_digit $b$ using an optimized approach. Essentially in every iteration of the -algorithm another digit of the dividend is reduced and another digit of quotient produced. Provided $b < \beta$ the value of $\hat w$ -after step 7.1 will be limited such that $0 \le \lfloor \hat w / b \rfloor < \beta$. - -If the divisor $b$ is equal to three a variant of this algorithm is used which is called mp\_div\_3. It replaces the division by three with -a multiplication by $\lfloor \beta / 3 \rfloor$ and the appropriate shift and residual fixup. In essence it is much like the Barrett reduction -from chapter seven. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_div\_d.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Like the implementation of algorithm mp\_div this algorithm allows either of the quotient or remainder to be passed as a \textbf{NULL} pointer to -indicate the respective value is not required. This allows a trivial single digit modular reduction algorithm, mp\_mod\_d to be created. - -The division and remainder on lines 44 and @45,%@ can be replaced often by a single division on most processors. For example, the 32-bit x86 based -processors can divide a 64-bit quantity by a 32-bit quantity and produce the quotient and remainder simultaneously. Unfortunately the GCC -compiler does not recognize that optimization and will actually produce two function calls to find the quotient and remainder respectively. - -\subsection{Single Digit Root Extraction} - -Finding the $n$'th root of an integer is fairly easy as far as numerical analysis is concerned. Algorithms such as the Newton-Raphson approximation -(\ref{eqn:newton}) series will converge very quickly to a root for any continuous function $f(x)$. - -\begin{equation} -x_{i+1} = x_i - {f(x_i) \over f'(x_i)} -\label{eqn:newton} -\end{equation} - -In this case the $n$'th root is desired and $f(x) = x^n - a$ where $a$ is the integer of which the root is desired. The derivative of $f(x)$ is -simply $f'(x) = nx^{n - 1}$. Of particular importance is that this algorithm will be used over the integers not over the a more continuous domain -such as the real numbers. As a result the root found can be above the true root by few and must be manually adjusted. Ideally at the end of the -algorithm the $n$'th root $b$ of an integer $a$ is desired such that $b^n \le a$. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_n\_root}. \\ -\textbf{Input}. mp\_int $a$ and a mp\_digit $b$ \\ -\textbf{Output}. $c^b \le a$ \\ -\hline \\ -1. If $b$ is even and $a.sign = MP\_NEG$ return(\textit{MP\_VAL}). \\ -2. $sign \leftarrow a.sign$ \\ -3. $a.sign \leftarrow MP\_ZPOS$ \\ -4. t$2 \leftarrow 2$ \\ -5. Loop \\ -\hspace{3mm}5.1 t$1 \leftarrow $ t$2$ \\ -\hspace{3mm}5.2 t$3 \leftarrow $ t$1^{b - 1}$ \\ -\hspace{3mm}5.3 t$2 \leftarrow $ t$3 $ $\cdot$ t$1$ \\ -\hspace{3mm}5.4 t$2 \leftarrow $ t$2 - a$ \\ -\hspace{3mm}5.5 t$3 \leftarrow $ t$3 \cdot b$ \\ -\hspace{3mm}5.6 t$3 \leftarrow \lfloor $t$2 / $t$3 \rfloor$ \\ -\hspace{3mm}5.7 t$2 \leftarrow $ t$1 - $ t$3$ \\ -\hspace{3mm}5.8 If t$1 \ne $ t$2$ then goto step 5. \\ -6. Loop \\ -\hspace{3mm}6.1 t$2 \leftarrow $ t$1^b$ \\ -\hspace{3mm}6.2 If t$2 > a$ then \\ -\hspace{6mm}6.2.1 t$1 \leftarrow $ t$1 - 1$ \\ -\hspace{6mm}6.2.2 Goto step 6. \\ -7. $a.sign \leftarrow sign$ \\ -8. $c \leftarrow $ t$1$ \\ -9. $c.sign \leftarrow sign$ \\ -10. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_n\_root} -\end{figure} -\textbf{Algorithm mp\_n\_root.} -This algorithm finds the integer $n$'th root of an input using the Newton-Raphson approach. It is partially optimized based on the observation -that the numerator of ${f(x) \over f'(x)}$ can be derived from a partial denominator. That is at first the denominator is calculated by finding -$x^{b - 1}$. This value can then be multiplied by $x$ and have $a$ subtracted from it to find the numerator. This saves a total of $b - 1$ -multiplications by t$1$ inside the loop. - -The initial value of the approximation is t$2 = 2$ which allows the algorithm to start with very small values and quickly converge on the -root. Ideally this algorithm is meant to find the $n$'th root of an input where $n$ is bounded by $2 \le n \le 5$. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_n\_root.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\section{Random Number Generation} - -Random numbers come up in a variety of activities from public key cryptography to simple simulations and various randomized algorithms. Pollard-Rho -factoring for example, can make use of random values as starting points to find factors of a composite integer. In this case the algorithm presented -is solely for simulations and not intended for cryptographic use. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_rand}. \\ -\textbf{Input}. An integer $b$ \\ -\textbf{Output}. A pseudo-random number of $b$ digits \\ -\hline \\ -1. $a \leftarrow 0$ \\ -2. If $b \le 0$ return(\textit{MP\_OKAY}) \\ -3. Pick a non-zero random digit $d$. \\ -4. $a \leftarrow a + d$ \\ -5. for $ix$ from 1 to $d - 1$ do \\ -\hspace{3mm}5.1 $a \leftarrow a \cdot \beta$ \\ -\hspace{3mm}5.2 Pick a random digit $d$. \\ -\hspace{3mm}5.3 $a \leftarrow a + d$ \\ -6. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_rand} -\end{figure} -\textbf{Algorithm mp\_rand.} -This algorithm produces a pseudo-random integer of $b$ digits. By ensuring that the first digit is non-zero the algorithm also guarantees that the -final result has at least $b$ digits. It relies heavily on a third-part random number generator which should ideally generate uniformly all of -the integers from $0$ to $\beta - 1$. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_rand.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\section{Formatted Representations} -The ability to emit a radix-$n$ textual representation of an integer is useful for interacting with human parties. For example, the ability to -be given a string of characters such as ``114585'' and turn it into the radix-$\beta$ equivalent would make it easier to enter numbers -into a program. - -\subsection{Reading Radix-n Input} -For the purposes of this text we will assume that a simple lower ASCII map (\ref{fig:ASC}) is used for the values of from $0$ to $63$ to -printable characters. For example, when the character ``N'' is read it represents the integer $23$. The first $16$ characters of the -map are for the common representations up to hexadecimal. After that they match the ``base64'' encoding scheme which are suitable chosen -such that they are printable. While outputting as base64 may not be too helpful for human operators it does allow communication via non binary -mediums. - -\newpage\begin{figure}[here] -\begin{center} -\begin{tabular}{cc|cc|cc|cc} -\hline \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} \\ -\hline -0 & 0 & 1 & 1 & 2 & 2 & 3 & 3 \\ -4 & 4 & 5 & 5 & 6 & 6 & 7 & 7 \\ -8 & 8 & 9 & 9 & 10 & A & 11 & B \\ -12 & C & 13 & D & 14 & E & 15 & F \\ -16 & G & 17 & H & 18 & I & 19 & J \\ -20 & K & 21 & L & 22 & M & 23 & N \\ -24 & O & 25 & P & 26 & Q & 27 & R \\ -28 & S & 29 & T & 30 & U & 31 & V \\ -32 & W & 33 & X & 34 & Y & 35 & Z \\ -36 & a & 37 & b & 38 & c & 39 & d \\ -40 & e & 41 & f & 42 & g & 43 & h \\ -44 & i & 45 & j & 46 & k & 47 & l \\ -48 & m & 49 & n & 50 & o & 51 & p \\ -52 & q & 53 & r & 54 & s & 55 & t \\ -56 & u & 57 & v & 58 & w & 59 & x \\ -60 & y & 61 & z & 62 & $+$ & 63 & $/$ \\ -\hline -\end{tabular} -\end{center} -\caption{Lower ASCII Map} -\label{fig:ASC} -\end{figure} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_read\_radix}. \\ -\textbf{Input}. A string $str$ of length $sn$ and radix $r$. \\ -\textbf{Output}. The radix-$\beta$ equivalent mp\_int. \\ -\hline \\ -1. If $r < 2$ or $r > 64$ return(\textit{MP\_VAL}). \\ -2. $ix \leftarrow 0$ \\ -3. If $str_0 =$ ``-'' then do \\ -\hspace{3mm}3.1 $ix \leftarrow ix + 1$ \\ -\hspace{3mm}3.2 $sign \leftarrow MP\_NEG$ \\ -4. else \\ -\hspace{3mm}4.1 $sign \leftarrow MP\_ZPOS$ \\ -5. $a \leftarrow 0$ \\ -6. for $iy$ from $ix$ to $sn - 1$ do \\ -\hspace{3mm}6.1 Let $y$ denote the position in the map of $str_{iy}$. \\ -\hspace{3mm}6.2 If $str_{iy}$ is not in the map or $y \ge r$ then goto step 7. \\ -\hspace{3mm}6.3 $a \leftarrow a \cdot r$ \\ -\hspace{3mm}6.4 $a \leftarrow a + y$ \\ -7. If $a \ne 0$ then $a.sign \leftarrow sign$ \\ -8. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_read\_radix} -\end{figure} -\textbf{Algorithm mp\_read\_radix.} -This algorithm will read an ASCII string and produce the radix-$\beta$ mp\_int representation of the same integer. A minus symbol ``-'' may precede the -string to indicate the value is negative, otherwise it is assumed to be positive. The algorithm will read up to $sn$ characters from the input -and will stop when it reads a character it cannot map the algorithm stops reading characters from the string. This allows numbers to be embedded -as part of larger input without any significant problem. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_read\_radix.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\subsection{Generating Radix-$n$ Output} -Generating radix-$n$ output is fairly trivial with a division and remainder algorithm. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_toradix}. \\ -\textbf{Input}. A mp\_int $a$ and an integer $r$\\ -\textbf{Output}. The radix-$r$ representation of $a$ \\ -\hline \\ -1. If $r < 2$ or $r > 64$ return(\textit{MP\_VAL}). \\ -2. If $a = 0$ then $str = $ ``$0$'' and return(\textit{MP\_OKAY}). \\ -3. $t \leftarrow a$ \\ -4. $str \leftarrow$ ``'' \\ -5. if $t.sign = MP\_NEG$ then \\ -\hspace{3mm}5.1 $str \leftarrow str + $ ``-'' \\ -\hspace{3mm}5.2 $t.sign = MP\_ZPOS$ \\ -6. While ($t \ne 0$) do \\ -\hspace{3mm}6.1 $d \leftarrow t \mbox{ (mod }r\mbox{)}$ \\ -\hspace{3mm}6.2 $t \leftarrow \lfloor t / r \rfloor$ \\ -\hspace{3mm}6.3 Look up $d$ in the map and store the equivalent character in $y$. \\ -\hspace{3mm}6.4 $str \leftarrow str + y$ \\ -7. If $str_0 = $``$-$'' then \\ -\hspace{3mm}7.1 Reverse the digits $str_1, str_2, \ldots str_n$. \\ -8. Otherwise \\ -\hspace{3mm}8.1 Reverse the digits $str_0, str_1, \ldots str_n$. \\ -9. Return(\textit{MP\_OKAY}).\\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_toradix} -\end{figure} -\textbf{Algorithm mp\_toradix.} -This algorithm computes the radix-$r$ representation of an mp\_int $a$. The ``digits'' of the representation are extracted by reducing -successive powers of $\lfloor a / r^k \rfloor$ the input modulo $r$ until $r^k > a$. Note that instead of actually dividing by $r^k$ in -each iteration the quotient $\lfloor a / r \rfloor$ is saved for the next iteration. As a result a series of trivial $n \times 1$ divisions -are required instead of a series of $n \times k$ divisions. One design flaw of this approach is that the digits are produced in the reverse order -(see~\ref{fig:mpradix}). To remedy this flaw the digits must be swapped or simply ``reversed''. - -\begin{figure} -\begin{center} -\begin{tabular}{|c|c|c|} -\hline \textbf{Value of $a$} & \textbf{Value of $d$} & \textbf{Value of $str$} \\ -\hline $1234$ & -- & -- \\ -\hline $123$ & $4$ & ``4'' \\ -\hline $12$ & $3$ & ``43'' \\ -\hline $1$ & $2$ & ``432'' \\ -\hline $0$ & $1$ & ``4321'' \\ -\hline -\end{tabular} -\end{center} -\caption{Example of Algorithm mp\_toradix.} -\label{fig:mpradix} -\end{figure} - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_toradix.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\chapter{Number Theoretic Algorithms} -This chapter discusses several fundamental number theoretic algorithms such as the greatest common divisor, least common multiple and Jacobi -symbol computation. These algorithms arise as essential components in several key cryptographic algorithms such as the RSA public key algorithm and -various Sieve based factoring algorithms. - -\section{Greatest Common Divisor} -The greatest common divisor of two integers $a$ and $b$, often denoted as $(a, b)$ is the largest integer $k$ that is a proper divisor of -both $a$ and $b$. That is, $k$ is the largest integer such that $0 \equiv a \mbox{ (mod }k\mbox{)}$ and $0 \equiv b \mbox{ (mod }k\mbox{)}$ occur -simultaneously. - -The most common approach (cite) is to reduce one input modulo another. That is if $a$ and $b$ are divisible by some integer $k$ and if $qa + r = b$ then -$r$ is also divisible by $k$. The reduction pattern follows $\left < a , b \right > \rightarrow \left < b, a \mbox{ mod } b \right >$. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Greatest Common Divisor (I)}. \\ -\textbf{Input}. Two positive integers $a$ and $b$ greater than zero. \\ -\textbf{Output}. The greatest common divisor $(a, b)$. \\ -\hline \\ -1. While ($b > 0$) do \\ -\hspace{3mm}1.1 $r \leftarrow a \mbox{ (mod }b\mbox{)}$ \\ -\hspace{3mm}1.2 $a \leftarrow b$ \\ -\hspace{3mm}1.3 $b \leftarrow r$ \\ -2. Return($a$). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Greatest Common Divisor (I)} -\label{fig:gcd1} -\end{figure} - -This algorithm will quickly converge on the greatest common divisor since the residue $r$ tends diminish rapidly. However, divisions are -relatively expensive operations to perform and should ideally be avoided. There is another approach based on a similar relationship of -greatest common divisors. The faster approach is based on the observation that if $k$ divides both $a$ and $b$ it will also divide $a - b$. -In particular, we would like $a - b$ to decrease in magnitude which implies that $b \ge a$. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Greatest Common Divisor (II)}. \\ -\textbf{Input}. Two positive integers $a$ and $b$ greater than zero. \\ -\textbf{Output}. The greatest common divisor $(a, b)$. \\ -\hline \\ -1. While ($b > 0$) do \\ -\hspace{3mm}1.1 Swap $a$ and $b$ such that $a$ is the smallest of the two. \\ -\hspace{3mm}1.2 $b \leftarrow b - a$ \\ -2. Return($a$). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Greatest Common Divisor (II)} -\label{fig:gcd2} -\end{figure} - -\textbf{Proof} \textit{Algorithm~\ref{fig:gcd2} will return the greatest common divisor of $a$ and $b$.} -The algorithm in figure~\ref{fig:gcd2} will eventually terminate since $b \ge a$ the subtraction in step 1.2 will be a value less than $b$. In other -words in every iteration that tuple $\left < a, b \right >$ decrease in magnitude until eventually $a = b$. Since both $a$ and $b$ are always -divisible by the greatest common divisor (\textit{until the last iteration}) and in the last iteration of the algorithm $b = 0$, therefore, in the -second to last iteration of the algorithm $b = a$ and clearly $(a, a) = a$ which concludes the proof. \textbf{QED}. - -As a matter of practicality algorithm \ref{fig:gcd1} decreases far too slowly to be useful. Specially if $b$ is much larger than $a$ such that -$b - a$ is still very much larger than $a$. A simple addition to the algorithm is to divide $b - a$ by a power of some integer $p$ which does -not divide the greatest common divisor but will divide $b - a$. In this case ${b - a} \over p$ is also an integer and still divisible by -the greatest common divisor. - -However, instead of factoring $b - a$ to find a suitable value of $p$ the powers of $p$ can be removed from $a$ and $b$ that are in common first. -Then inside the loop whenever $b - a$ is divisible by some power of $p$ it can be safely removed. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Greatest Common Divisor (III)}. \\ -\textbf{Input}. Two positive integers $a$ and $b$ greater than zero. \\ -\textbf{Output}. The greatest common divisor $(a, b)$. \\ -\hline \\ -1. $k \leftarrow 0$ \\ -2. While $a$ and $b$ are both divisible by $p$ do \\ -\hspace{3mm}2.1 $a \leftarrow \lfloor a / p \rfloor$ \\ -\hspace{3mm}2.2 $b \leftarrow \lfloor b / p \rfloor$ \\ -\hspace{3mm}2.3 $k \leftarrow k + 1$ \\ -3. While $a$ is divisible by $p$ do \\ -\hspace{3mm}3.1 $a \leftarrow \lfloor a / p \rfloor$ \\ -4. While $b$ is divisible by $p$ do \\ -\hspace{3mm}4.1 $b \leftarrow \lfloor b / p \rfloor$ \\ -5. While ($b > 0$) do \\ -\hspace{3mm}5.1 Swap $a$ and $b$ such that $a$ is the smallest of the two. \\ -\hspace{3mm}5.2 $b \leftarrow b - a$ \\ -\hspace{3mm}5.3 While $b$ is divisible by $p$ do \\ -\hspace{6mm}5.3.1 $b \leftarrow \lfloor b / p \rfloor$ \\ -6. Return($a \cdot p^k$). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Greatest Common Divisor (III)} -\label{fig:gcd3} -\end{figure} - -This algorithm is based on the first except it removes powers of $p$ first and inside the main loop to ensure the tuple $\left < a, b \right >$ -decreases more rapidly. The first loop on step two removes powers of $p$ that are in common. A count, $k$, is kept which will present a common -divisor of $p^k$. After step two the remaining common divisor of $a$ and $b$ cannot be divisible by $p$. This means that $p$ can be safely -divided out of the difference $b - a$ so long as the division leaves no remainder. - -In particular the value of $p$ should be chosen such that the division on step 5.3.1 occur often. It also helps that division by $p$ be easy -to compute. The ideal choice of $p$ is two since division by two amounts to a right logical shift. Another important observation is that by -step five both $a$ and $b$ are odd. Therefore, the diffrence $b - a$ must be even which means that each iteration removes one bit from the -largest of the pair. - -\subsection{Complete Greatest Common Divisor} -The algorithms presented so far cannot handle inputs which are zero or negative. The following algorithm can handle all input cases properly -and will produce the greatest common divisor. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_gcd}. \\ -\textbf{Input}. mp\_int $a$ and $b$ \\ -\textbf{Output}. The greatest common divisor $c = (a, b)$. \\ -\hline \\ -1. If $a = 0$ then \\ -\hspace{3mm}1.1 $c \leftarrow \vert b \vert $ \\ -\hspace{3mm}1.2 Return(\textit{MP\_OKAY}). \\ -2. If $b = 0$ then \\ -\hspace{3mm}2.1 $c \leftarrow \vert a \vert $ \\ -\hspace{3mm}2.2 Return(\textit{MP\_OKAY}). \\ -3. $u \leftarrow \vert a \vert, v \leftarrow \vert b \vert$ \\ -4. $k \leftarrow 0$ \\ -5. While $u.used > 0$ and $v.used > 0$ and $u_0 \equiv v_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}5.1 $k \leftarrow k + 1$ \\ -\hspace{3mm}5.2 $u \leftarrow \lfloor u / 2 \rfloor$ \\ -\hspace{3mm}5.3 $v \leftarrow \lfloor v / 2 \rfloor$ \\ -6. While $u.used > 0$ and $u_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}6.1 $u \leftarrow \lfloor u / 2 \rfloor$ \\ -7. While $v.used > 0$ and $v_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}7.1 $v \leftarrow \lfloor v / 2 \rfloor$ \\ -8. While $v.used > 0$ \\ -\hspace{3mm}8.1 If $\vert u \vert > \vert v \vert$ then \\ -\hspace{6mm}8.1.1 Swap $u$ and $v$. \\ -\hspace{3mm}8.2 $v \leftarrow \vert v \vert - \vert u \vert$ \\ -\hspace{3mm}8.3 While $v.used > 0$ and $v_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{6mm}8.3.1 $v \leftarrow \lfloor v / 2 \rfloor$ \\ -9. $c \leftarrow u \cdot 2^k$ \\ -10. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_gcd} -\end{figure} -\textbf{Algorithm mp\_gcd.} -This algorithm will produce the greatest common divisor of two mp\_ints $a$ and $b$. The algorithm was originally based on Algorithm B of -Knuth \cite[pp. 338]{TAOCPV2} but has been modified to be simpler to explain. In theory it achieves the same asymptotic working time as -Algorithm B and in practice this appears to be true. - -The first two steps handle the cases where either one of or both inputs are zero. If either input is zero the greatest common divisor is the -largest input or zero if they are both zero. If the inputs are not trivial than $u$ and $v$ are assigned the absolute values of -$a$ and $b$ respectively and the algorithm will proceed to reduce the pair. - -Step five will divide out any common factors of two and keep track of the count in the variable $k$. After this step, two is no longer a -factor of the remaining greatest common divisor between $u$ and $v$ and can be safely evenly divided out of either whenever they are even. Step -six and seven ensure that the $u$ and $v$ respectively have no more factors of two. At most only one of the while--loops will iterate since -they cannot both be even. - -By step eight both of $u$ and $v$ are odd which is required for the inner logic. First the pair are swapped such that $v$ is equal to -or greater than $u$. This ensures that the subtraction on step 8.2 will always produce a positive and even result. Step 8.3 removes any -factors of two from the difference $u$ to ensure that in the next iteration of the loop both are once again odd. - -After $v = 0$ occurs the variable $u$ has the greatest common divisor of the pair $\left < u, v \right >$ just after step six. The result -must be adjusted by multiplying by the common factors of two ($2^k$) removed earlier. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_gcd.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -This function makes use of the macros mp\_iszero and mp\_iseven. The former evaluates to $1$ if the input mp\_int is equivalent to the -integer zero otherwise it evaluates to $0$. The latter evaluates to $1$ if the input mp\_int represents a non-zero even integer otherwise -it evaluates to $0$. Note that just because mp\_iseven may evaluate to $0$ does not mean the input is odd, it could also be zero. The three -trivial cases of inputs are handled on lines 24 through 30. After those lines the inputs are assumed to be non-zero. - -Lines 32 and 37 make local copies $u$ and $v$ of the inputs $a$ and $b$ respectively. At this point the common factors of two -must be divided out of the two inputs. The block starting at line 44 removes common factors of two by first counting the number of trailing -zero bits in both. The local integer $k$ is used to keep track of how many factors of $2$ are pulled out of both values. It is assumed that -the number of factors will not exceed the maximum value of a C ``int'' data type\footnote{Strictly speaking no array in C may have more than -entries than are accessible by an ``int'' so this is not a limitation.}. - -At this point there are no more common factors of two in the two values. The divisions by a power of two on lines 62 and 68 remove -any independent factors of two such that both $u$ and $v$ are guaranteed to be an odd integer before hitting the main body of the algorithm. The while loop -on line 73 performs the reduction of the pair until $v$ is equal to zero. The unsigned comparison and subtraction algorithms are used in -place of the full signed routines since both values are guaranteed to be positive and the result of the subtraction is guaranteed to be non-negative. - -\section{Least Common Multiple} -The least common multiple of a pair of integers is their product divided by their greatest common divisor. For two integers $a$ and $b$ the -least common multiple is normally denoted as $[ a, b ]$ and numerically equivalent to ${ab} \over {(a, b)}$. For example, if $a = 2 \cdot 2 \cdot 3 = 12$ -and $b = 2 \cdot 3 \cdot 3 \cdot 7 = 126$ the least common multiple is ${126 \over {(12, 126)}} = {126 \over 6} = 21$. - -The least common multiple arises often in coding theory as well as number theory. If two functions have periods of $a$ and $b$ respectively they will -collide, that is be in synchronous states, after only $[ a, b ]$ iterations. This is why, for example, random number generators based on -Linear Feedback Shift Registers (LFSR) tend to use registers with periods which are co-prime (\textit{e.g. the greatest common divisor is one.}). -Similarly in number theory if a composite $n$ has two prime factors $p$ and $q$ then maximal order of any unit of $\Z/n\Z$ will be $[ p - 1, q - 1] $. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_lcm}. \\ -\textbf{Input}. mp\_int $a$ and $b$ \\ -\textbf{Output}. The least common multiple $c = [a, b]$. \\ -\hline \\ -1. $c \leftarrow (a, b)$ \\ -2. $t \leftarrow a \cdot b$ \\ -3. $c \leftarrow \lfloor t / c \rfloor$ \\ -4. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_lcm} -\end{figure} -\textbf{Algorithm mp\_lcm.} -This algorithm computes the least common multiple of two mp\_int inputs $a$ and $b$. It computes the least common multiple directly by -dividing the product of the two inputs by their greatest common divisor. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_lcm.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\section{Jacobi Symbol Computation} -To explain the Jacobi Symbol we shall first discuss the Legendre function\footnote{Arrg. What is the name of this?} off which the Jacobi symbol is -defined. The Legendre function computes whether or not an integer $a$ is a quadratic residue modulo an odd prime $p$. Numerically it is -equivalent to equation \ref{eqn:legendre}. - -\textit{-- Tom, don't be an ass, cite your source here...!} - -\begin{equation} -a^{(p-1)/2} \equiv \begin{array}{rl} - -1 & \mbox{if }a\mbox{ is a quadratic non-residue.} \\ - 0 & \mbox{if }a\mbox{ divides }p\mbox{.} \\ - 1 & \mbox{if }a\mbox{ is a quadratic residue}. - \end{array} \mbox{ (mod }p\mbox{)} -\label{eqn:legendre} -\end{equation} - -\textbf{Proof.} \textit{Equation \ref{eqn:legendre} correctly identifies the residue status of an integer $a$ modulo a prime $p$.} -An integer $a$ is a quadratic residue if the following equation has a solution. - -\begin{equation} -x^2 \equiv a \mbox{ (mod }p\mbox{)} -\label{eqn:root} -\end{equation} - -Consider the following equation. - -\begin{equation} -0 \equiv x^{p-1} - 1 \equiv \left \lbrace \left (x^2 \right )^{(p-1)/2} - a^{(p-1)/2} \right \rbrace + \left ( a^{(p-1)/2} - 1 \right ) \mbox{ (mod }p\mbox{)} -\label{eqn:rooti} -\end{equation} - -Whether equation \ref{eqn:root} has a solution or not equation \ref{eqn:rooti} is always true. If $a^{(p-1)/2} - 1 \equiv 0 \mbox{ (mod }p\mbox{)}$ -then the quantity in the braces must be zero. By reduction, - -\begin{eqnarray} -\left (x^2 \right )^{(p-1)/2} - a^{(p-1)/2} \equiv 0 \nonumber \\ -\left (x^2 \right )^{(p-1)/2} \equiv a^{(p-1)/2} \nonumber \\ -x^2 \equiv a \mbox{ (mod }p\mbox{)} -\end{eqnarray} - -As a result there must be a solution to the quadratic equation and in turn $a$ must be a quadratic residue. If $a$ does not divide $p$ and $a$ -is not a quadratic residue then the only other value $a^{(p-1)/2}$ may be congruent to is $-1$ since -\begin{equation} -0 \equiv a^{p - 1} - 1 \equiv (a^{(p-1)/2} + 1)(a^{(p-1)/2} - 1) \mbox{ (mod }p\mbox{)} -\end{equation} -One of the terms on the right hand side must be zero. \textbf{QED} - -\subsection{Jacobi Symbol} -The Jacobi symbol is a generalization of the Legendre function for any odd non prime moduli $p$ greater than 2. If $p = \prod_{i=0}^n p_i$ then -the Jacobi symbol $\left ( { a \over p } \right )$ is equal to the following equation. - -\begin{equation} -\left ( { a \over p } \right ) = \left ( { a \over p_0} \right ) \left ( { a \over p_1} \right ) \ldots \left ( { a \over p_n} \right ) -\end{equation} - -By inspection if $p$ is prime the Jacobi symbol is equivalent to the Legendre function. The following facts\footnote{See HAC \cite[pp. 72-74]{HAC} for -further details.} will be used to derive an efficient Jacobi symbol algorithm. Where $p$ is an odd integer greater than two and $a, b \in \Z$ the -following are true. - -\begin{enumerate} -\item $\left ( { a \over p} \right )$ equals $-1$, $0$ or $1$. -\item $\left ( { ab \over p} \right ) = \left ( { a \over p} \right )\left ( { b \over p} \right )$. -\item If $a \equiv b$ then $\left ( { a \over p} \right ) = \left ( { b \over p} \right )$. -\item $\left ( { 2 \over p} \right )$ equals $1$ if $p \equiv 1$ or $7 \mbox{ (mod }8\mbox{)}$. Otherwise, it equals $-1$. -\item $\left ( { a \over p} \right ) \equiv \left ( { p \over a} \right ) \cdot (-1)^{(p-1)(a-1)/4}$. More specifically -$\left ( { a \over p} \right ) = \left ( { p \over a} \right )$ if $p \equiv a \equiv 1 \mbox{ (mod }4\mbox{)}$. -\end{enumerate} - -Using these facts if $a = 2^k \cdot a'$ then - -\begin{eqnarray} -\left ( { a \over p } \right ) = \left ( {{2^k} \over p } \right ) \left ( {a' \over p} \right ) \nonumber \\ - = \left ( {2 \over p } \right )^k \left ( {a' \over p} \right ) -\label{eqn:jacobi} -\end{eqnarray} - -By fact five, - -\begin{equation} -\left ( { a \over p } \right ) = \left ( { p \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} -\end{equation} - -Subsequently by fact three since $p \equiv (p \mbox{ mod }a) \mbox{ (mod }a\mbox{)}$ then - -\begin{equation} -\left ( { a \over p } \right ) = \left ( { {p \mbox{ mod } a} \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} -\end{equation} - -By putting both observations into equation \ref{eqn:jacobi} the following simplified equation is formed. - -\begin{equation} -\left ( { a \over p } \right ) = \left ( {2 \over p } \right )^k \left ( {{p\mbox{ mod }a'} \over a'} \right ) \cdot (-1)^{(p-1)(a'-1)/4} -\end{equation} - -The value of $\left ( {{p \mbox{ mod }a'} \over a'} \right )$ can be found by using the same equation recursively. The value of -$\left ( {2 \over p } \right )^k$ equals $1$ if $k$ is even otherwise it equals $\left ( {2 \over p } \right )$. Using this approach the -factors of $p$ do not have to be known. Furthermore, if $(a, p) = 1$ then the algorithm will terminate when the recursion requests the -Jacobi symbol computation of $\left ( {1 \over a'} \right )$ which is simply $1$. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_jacobi}. \\ -\textbf{Input}. mp\_int $a$ and $p$, $a \ge 0$, $p \ge 3$, $p \equiv 1 \mbox{ (mod }2\mbox{)}$ \\ -\textbf{Output}. The Jacobi symbol $c = \left ( {a \over p } \right )$. \\ -\hline \\ -1. If $a = 0$ then \\ -\hspace{3mm}1.1 $c \leftarrow 0$ \\ -\hspace{3mm}1.2 Return(\textit{MP\_OKAY}). \\ -2. If $a = 1$ then \\ -\hspace{3mm}2.1 $c \leftarrow 1$ \\ -\hspace{3mm}2.2 Return(\textit{MP\_OKAY}). \\ -3. $a' \leftarrow a$ \\ -4. $k \leftarrow 0$ \\ -5. While $a'.used > 0$ and $a'_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}5.1 $k \leftarrow k + 1$ \\ -\hspace{3mm}5.2 $a' \leftarrow \lfloor a' / 2 \rfloor$ \\ -6. If $k \equiv 0 \mbox{ (mod }2\mbox{)}$ then \\ -\hspace{3mm}6.1 $s \leftarrow 1$ \\ -7. else \\ -\hspace{3mm}7.1 $r \leftarrow p_0 \mbox{ (mod }8\mbox{)}$ \\ -\hspace{3mm}7.2 If $r = 1$ or $r = 7$ then \\ -\hspace{6mm}7.2.1 $s \leftarrow 1$ \\ -\hspace{3mm}7.3 else \\ -\hspace{6mm}7.3.1 $s \leftarrow -1$ \\ -8. If $p_0 \equiv a'_0 \equiv 3 \mbox{ (mod }4\mbox{)}$ then \\ -\hspace{3mm}8.1 $s \leftarrow -s$ \\ -9. If $a' \ne 1$ then \\ -\hspace{3mm}9.1 $p' \leftarrow p \mbox{ (mod }a'\mbox{)}$ \\ -\hspace{3mm}9.2 $s \leftarrow s \cdot \mbox{mp\_jacobi}(p', a')$ \\ -10. $c \leftarrow s$ \\ -11. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_jacobi} -\end{figure} -\textbf{Algorithm mp\_jacobi.} -This algorithm computes the Jacobi symbol for an arbitrary positive integer $a$ with respect to an odd integer $p$ greater than three. The algorithm -is based on algorithm 2.149 of HAC \cite[pp. 73]{HAC}. - -Step numbers one and two handle the trivial cases of $a = 0$ and $a = 1$ respectively. Step five determines the number of two factors in the -input $a$. If $k$ is even than the term $\left ( { 2 \over p } \right )^k$ must always evaluate to one. If $k$ is odd than the term evaluates to one -if $p_0$ is congruent to one or seven modulo eight, otherwise it evaluates to $-1$. After the the $\left ( { 2 \over p } \right )^k$ term is handled -the $(-1)^{(p-1)(a'-1)/4}$ is computed and multiplied against the current product $s$. The latter term evaluates to one if both $p$ and $a'$ -are congruent to one modulo four, otherwise it evaluates to negative one. - -By step nine if $a'$ does not equal one a recursion is required. Step 9.1 computes $p' \equiv p \mbox{ (mod }a'\mbox{)}$ and will recurse to compute -$\left ( {p' \over a'} \right )$ which is multiplied against the current Jacobi product. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_jacobi.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -As a matter of practicality the variable $a'$ as per the pseudo-code is reprensented by the variable $a1$ since the $'$ symbol is not valid for a C -variable name character. - -The two simple cases of $a = 0$ and $a = 1$ are handled at the very beginning to simplify the algorithm. If the input is non-trivial the algorithm -has to proceed compute the Jacobi. The variable $s$ is used to hold the current Jacobi product. Note that $s$ is merely a C ``int'' data type since -the values it may obtain are merely $-1$, $0$ and $1$. - -After a local copy of $a$ is made all of the factors of two are divided out and the total stored in $k$. Technically only the least significant -bit of $k$ is required, however, it makes the algorithm simpler to follow to perform an addition. In practice an exclusive-or and addition have the same -processor requirements and neither is faster than the other. - -Line 58 through 71 determines the value of $\left ( { 2 \over p } \right )^k$. If the least significant bit of $k$ is zero than -$k$ is even and the value is one. Otherwise, the value of $s$ depends on which residue class $p$ belongs to modulo eight. The value of -$(-1)^{(p-1)(a'-1)/4}$ is compute and multiplied against $s$ on lines 71 through 74. - -Finally, if $a1$ does not equal one the algorithm must recurse and compute $\left ( {p' \over a'} \right )$. - -\textit{-- Comment about default $s$ and such...} - -\section{Modular Inverse} -\label{sec:modinv} -The modular inverse of a number actually refers to the modular multiplicative inverse. Essentially for any integer $a$ such that $(a, p) = 1$ there -exist another integer $b$ such that $ab \equiv 1 \mbox{ (mod }p\mbox{)}$. The integer $b$ is called the multiplicative inverse of $a$ which is -denoted as $b = a^{-1}$. Technically speaking modular inversion is a well defined operation for any finite ring or field not just for rings and -fields of integers. However, the former will be the matter of discussion. - -The simplest approach is to compute the algebraic inverse of the input. That is to compute $b \equiv a^{\Phi(p) - 1}$. If $\Phi(p)$ is the -order of the multiplicative subgroup modulo $p$ then $b$ must be the multiplicative inverse of $a$. The proof of which is trivial. - -\begin{equation} -ab \equiv a \left (a^{\Phi(p) - 1} \right ) \equiv a^{\Phi(p)} \equiv a^0 \equiv 1 \mbox{ (mod }p\mbox{)} -\end{equation} - -However, as simple as this approach may be it has two serious flaws. It requires that the value of $\Phi(p)$ be known which if $p$ is composite -requires all of the prime factors. This approach also is very slow as the size of $p$ grows. - -A simpler approach is based on the observation that solving for the multiplicative inverse is equivalent to solving the linear -Diophantine\footnote{See LeVeque \cite[pp. 40-43]{LeVeque} for more information.} equation. - -\begin{equation} -ab + pq = 1 -\end{equation} - -Where $a$, $b$, $p$ and $q$ are all integers. If such a pair of integers $ \left < b, q \right >$ exist than $b$ is the multiplicative inverse of -$a$ modulo $p$. The extended Euclidean algorithm (Knuth \cite[pp. 342]{TAOCPV2}) can be used to solve such equations provided $(a, p) = 1$. -However, instead of using that algorithm directly a variant known as the binary Extended Euclidean algorithm will be used in its place. The -binary approach is very similar to the binary greatest common divisor algorithm except it will produce a full solution to the Diophantine -equation. - -\subsection{General Case} -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_invmod}. \\ -\textbf{Input}. mp\_int $a$ and $b$, $(a, b) = 1$, $p \ge 2$, $0 < a < p$. \\ -\textbf{Output}. The modular inverse $c \equiv a^{-1} \mbox{ (mod }b\mbox{)}$. \\ -\hline \\ -1. If $b \le 0$ then return(\textit{MP\_VAL}). \\ -2. If $b_0 \equiv 1 \mbox{ (mod }2\mbox{)}$ then use algorithm fast\_mp\_invmod. \\ -3. $x \leftarrow \vert a \vert, y \leftarrow b$ \\ -4. If $x_0 \equiv y_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ then return(\textit{MP\_VAL}). \\ -5. $B \leftarrow 0, C \leftarrow 0, A \leftarrow 1, D \leftarrow 1$ \\ -6. While $u.used > 0$ and $u_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}6.1 $u \leftarrow \lfloor u / 2 \rfloor$ \\ -\hspace{3mm}6.2 If ($A.used > 0$ and $A_0 \equiv 1 \mbox{ (mod }2\mbox{)}$) or ($B.used > 0$ and $B_0 \equiv 1 \mbox{ (mod }2\mbox{)}$) then \\ -\hspace{6mm}6.2.1 $A \leftarrow A + y$ \\ -\hspace{6mm}6.2.2 $B \leftarrow B - x$ \\ -\hspace{3mm}6.3 $A \leftarrow \lfloor A / 2 \rfloor$ \\ -\hspace{3mm}6.4 $B \leftarrow \lfloor B / 2 \rfloor$ \\ -7. While $v.used > 0$ and $v_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}7.1 $v \leftarrow \lfloor v / 2 \rfloor$ \\ -\hspace{3mm}7.2 If ($C.used > 0$ and $C_0 \equiv 1 \mbox{ (mod }2\mbox{)}$) or ($D.used > 0$ and $D_0 \equiv 1 \mbox{ (mod }2\mbox{)}$) then \\ -\hspace{6mm}7.2.1 $C \leftarrow C + y$ \\ -\hspace{6mm}7.2.2 $D \leftarrow D - x$ \\ -\hspace{3mm}7.3 $C \leftarrow \lfloor C / 2 \rfloor$ \\ -\hspace{3mm}7.4 $D \leftarrow \lfloor D / 2 \rfloor$ \\ -8. If $u \ge v$ then \\ -\hspace{3mm}8.1 $u \leftarrow u - v$ \\ -\hspace{3mm}8.2 $A \leftarrow A - C$ \\ -\hspace{3mm}8.3 $B \leftarrow B - D$ \\ -9. else \\ -\hspace{3mm}9.1 $v \leftarrow v - u$ \\ -\hspace{3mm}9.2 $C \leftarrow C - A$ \\ -\hspace{3mm}9.3 $D \leftarrow D - B$ \\ -10. If $u \ne 0$ goto step 6. \\ -11. If $v \ne 1$ return(\textit{MP\_VAL}). \\ -12. While $C \le 0$ do \\ -\hspace{3mm}12.1 $C \leftarrow C + b$ \\ -13. While $C \ge b$ do \\ -\hspace{3mm}13.1 $C \leftarrow C - b$ \\ -14. $c \leftarrow C$ \\ -15. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\end{figure} -\textbf{Algorithm mp\_invmod.} -This algorithm computes the modular multiplicative inverse of an integer $a$ modulo an integer $b$. This algorithm is a variation of the -extended binary Euclidean algorithm from HAC \cite[pp. 608]{HAC}. It has been modified to only compute the modular inverse and not a complete -Diophantine solution. - -If $b \le 0$ than the modulus is invalid and MP\_VAL is returned. Similarly if both $a$ and $b$ are even then there cannot be a multiplicative -inverse for $a$ and the error is reported. - -The astute reader will observe that steps seven through nine are very similar to the binary greatest common divisor algorithm mp\_gcd. In this case -the other variables to the Diophantine equation are solved. The algorithm terminates when $u = 0$ in which case the solution is - -\begin{equation} -Ca + Db = v -\end{equation} - -If $v$, the greatest common divisor of $a$ and $b$ is not equal to one then the algorithm will report an error as no inverse exists. Otherwise, $C$ -is the modular inverse of $a$. The actual value of $C$ is congruent to, but not necessarily equal to, the ideal modular inverse which should lie -within $1 \le a^{-1} < b$. Step numbers twelve and thirteen adjust the inverse until it is in range. If the original input $a$ is within $0 < a < p$ -then only a couple of additions or subtractions will be required to adjust the inverse. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_invmod.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\subsubsection{Odd Moduli} - -When the modulus $b$ is odd the variables $A$ and $C$ are fixed and are not required to compute the inverse. In particular by attempting to solve -the Diophantine $Cb + Da = 1$ only $B$ and $D$ are required to find the inverse of $a$. - -The algorithm fast\_mp\_invmod is a direct adaptation of algorithm mp\_invmod with all all steps involving either $A$ or $C$ removed. This -optimization will halve the time required to compute the modular inverse. - -\section{Primality Tests} - -A non-zero integer $a$ is said to be prime if it is not divisible by any other integer excluding one and itself. For example, $a = 7$ is prime -since the integers $2 \ldots 6$ do not evenly divide $a$. By contrast, $a = 6$ is not prime since $a = 6 = 2 \cdot 3$. - -Prime numbers arise in cryptography considerably as they allow finite fields to be formed. The ability to determine whether an integer is prime or -not quickly has been a viable subject in cryptography and number theory for considerable time. The algorithms that will be presented are all -probablistic algorithms in that when they report an integer is composite it must be composite. However, when the algorithms report an integer is -prime the algorithm may be incorrect. - -As will be discussed it is possible to limit the probability of error so well that for practical purposes the probablity of error might as -well be zero. For the purposes of these discussions let $n$ represent the candidate integer of which the primality is in question. - -\subsection{Trial Division} - -Trial division means to attempt to evenly divide a candidate integer by small prime integers. If the candidate can be evenly divided it obviously -cannot be prime. By dividing by all primes $1 < p \le \sqrt{n}$ this test can actually prove whether an integer is prime. However, such a test -would require a prohibitive amount of time as $n$ grows. - -Instead of dividing by every prime, a smaller, more mangeable set of primes may be used instead. By performing trial division with only a subset -of the primes less than $\sqrt{n} + 1$ the algorithm cannot prove if a candidate is prime. However, often it can prove a candidate is not prime. - -The benefit of this test is that trial division by small values is fairly efficient. Specially compared to the other algorithms that will be -discussed shortly. The probability that this approach correctly identifies a composite candidate when tested with all primes upto $q$ is given by -$1 - {1.12 \over ln(q)}$. The graph (\ref{pic:primality}, will be added later) demonstrates the probability of success for the range -$3 \le q \le 100$. - -At approximately $q = 30$ the gain of performing further tests diminishes fairly quickly. At $q = 90$ further testing is generally not going to -be of any practical use. In the case of LibTomMath the default limit $q = 256$ was chosen since it is not too high and will eliminate -approximately $80\%$ of all candidate integers. The constant \textbf{PRIME\_SIZE} is equal to the number of primes in the test base. The -array \_\_prime\_tab is an array of the first \textbf{PRIME\_SIZE} prime numbers. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_prime\_is\_divisible}. \\ -\textbf{Input}. mp\_int $a$ \\ -\textbf{Output}. $c = 1$ if $n$ is divisible by a small prime, otherwise $c = 0$. \\ -\hline \\ -1. for $ix$ from $0$ to $PRIME\_SIZE$ do \\ -\hspace{3mm}1.1 $d \leftarrow n \mbox{ (mod }\_\_prime\_tab_{ix}\mbox{)}$ \\ -\hspace{3mm}1.2 If $d = 0$ then \\ -\hspace{6mm}1.2.1 $c \leftarrow 1$ \\ -\hspace{6mm}1.2.2 Return(\textit{MP\_OKAY}). \\ -2. $c \leftarrow 0$ \\ -3. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_prime\_is\_divisible} -\end{figure} -\textbf{Algorithm mp\_prime\_is\_divisible.} -This algorithm attempts to determine if a candidate integer $n$ is composite by performing trial divisions. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_prime\_is\_divisible.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -The algorithm defaults to a return of $0$ in case an error occurs. The values in the prime table are all specified to be in the range of a -mp\_digit. The table \_\_prime\_tab is defined in the following file. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_prime\_tab.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -Note that there are two possible tables. When an mp\_digit is 7-bits long only the primes upto $127$ may be included, otherwise the primes -upto $1619$ are used. Note that the value of \textbf{PRIME\_SIZE} is a constant dependent on the size of a mp\_digit. - -\subsection{The Fermat Test} -The Fermat test is probably one the oldest tests to have a non-trivial probability of success. It is based on the fact that if $n$ is in -fact prime then $a^{n} \equiv a \mbox{ (mod }n\mbox{)}$ for all $0 < a < n$. The reason being that if $n$ is prime than the order of -the multiplicative sub group is $n - 1$. Any base $a$ must have an order which divides $n - 1$ and as such $a^n$ is equivalent to -$a^1 = a$. - -If $n$ is composite then any given base $a$ does not have to have a period which divides $n - 1$. In which case -it is possible that $a^n \nequiv a \mbox{ (mod }n\mbox{)}$. However, this test is not absolute as it is possible that the order -of a base will divide $n - 1$ which would then be reported as prime. Such a base yields what is known as a Fermat pseudo-prime. Several -integers known as Carmichael numbers will be a pseudo-prime to all valid bases. Fortunately such numbers are extremely rare as $n$ grows -in size. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_prime\_fermat}. \\ -\textbf{Input}. mp\_int $a$ and $b$, $a \ge 2$, $0 < b < a$. \\ -\textbf{Output}. $c = 1$ if $b^a \equiv b \mbox{ (mod }a\mbox{)}$, otherwise $c = 0$. \\ -\hline \\ -1. $t \leftarrow b^a \mbox{ (mod }a\mbox{)}$ \\ -2. If $t = b$ then \\ -\hspace{3mm}2.1 $c = 1$ \\ -3. else \\ -\hspace{3mm}3.1 $c = 0$ \\ -4. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_prime\_fermat} -\end{figure} -\textbf{Algorithm mp\_prime\_fermat.} -This algorithm determines whether an mp\_int $a$ is a Fermat prime to the base $b$ or not. It uses a single modular exponentiation to -determine the result. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_prime\_fermat.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - -\subsection{The Miller-Rabin Test} -The Miller-Rabin (citation) test is another primality test which has tighter error bounds than the Fermat test specifically with sequentially chosen -candidate integers. The algorithm is based on the observation that if $n - 1 = 2^kr$ and if $b^r \nequiv \pm 1$ then after upto $k - 1$ squarings the -value must be equal to $-1$. The squarings are stopped as soon as $-1$ is observed. If the value of $1$ is observed first it means that -some value not congruent to $\pm 1$ when squared equals one which cannot occur if $n$ is prime. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_prime\_miller\_rabin}. \\ -\textbf{Input}. mp\_int $a$ and $b$, $a \ge 2$, $0 < b < a$. \\ -\textbf{Output}. $c = 1$ if $a$ is a Miller-Rabin prime to the base $a$, otherwise $c = 0$. \\ -\hline -1. $a' \leftarrow a - 1$ \\ -2. $r \leftarrow n1$ \\ -3. $c \leftarrow 0, s \leftarrow 0$ \\ -4. While $r.used > 0$ and $r_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}4.1 $s \leftarrow s + 1$ \\ -\hspace{3mm}4.2 $r \leftarrow \lfloor r / 2 \rfloor$ \\ -5. $y \leftarrow b^r \mbox{ (mod }a\mbox{)}$ \\ -6. If $y \nequiv \pm 1$ then \\ -\hspace{3mm}6.1 $j \leftarrow 1$ \\ -\hspace{3mm}6.2 While $j \le (s - 1)$ and $y \nequiv a'$ \\ -\hspace{6mm}6.2.1 $y \leftarrow y^2 \mbox{ (mod }a\mbox{)}$ \\ -\hspace{6mm}6.2.2 If $y = 1$ then goto step 8. \\ -\hspace{6mm}6.2.3 $j \leftarrow j + 1$ \\ -\hspace{3mm}6.3 If $y \nequiv a'$ goto step 8. \\ -7. $c \leftarrow 1$\\ -8. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_prime\_miller\_rabin} -\end{figure} -\textbf{Algorithm mp\_prime\_miller\_rabin.} -This algorithm performs one trial round of the Miller-Rabin algorithm to the base $b$. It will set $c = 1$ if the algorithm cannot determine -if $b$ is composite or $c = 0$ if $b$ is provably composite. The values of $s$ and $r$ are computed such that $a' = a - 1 = 2^sr$. - -If the value $y \equiv b^r$ is congruent to $\pm 1$ then the algorithm cannot prove if $a$ is composite or not. Otherwise, the algorithm will -square $y$ upto $s - 1$ times stopping only when $y \equiv -1$. If $y^2 \equiv 1$ and $y \nequiv \pm 1$ then the algorithm can report that $a$ -is provably composite. If the algorithm performs $s - 1$ squarings and $y \nequiv -1$ then $a$ is provably composite. If $a$ is not provably -composite then it is \textit{probably} prime. - -\vspace{+3mm}\begin{small} -\hspace{-5.1mm}{\bf File}: bn\_mp\_prime\_miller\_rabin.c -\vspace{-3mm} -\begin{alltt} -\end{alltt} -\end{small} - - - - -\backmatter -\appendix -\begin{thebibliography}{ABCDEF} -\bibitem[1]{TAOCPV2} -Donald Knuth, \textit{The Art of Computer Programming}, Third Edition, Volume Two, Seminumerical Algorithms, Addison-Wesley, 1998 - -\bibitem[2]{HAC} -A. Menezes, P. van Oorschot, S. Vanstone, \textit{Handbook of Applied Cryptography}, CRC Press, 1996 - -\bibitem[3]{ROSE} -Michael Rosing, \textit{Implementing Elliptic Curve Cryptography}, Manning Publications, 1999 - -\bibitem[4]{COMBA} -Paul G. Comba, \textit{Exponentiation Cryptosystems on the IBM PC}. IBM Systems Journal 29(4): 526-538 (1990) - -\bibitem[5]{KARA} -A. Karatsuba, Doklay Akad. Nauk SSSR 145 (1962), pp.293-294 - -\bibitem[6]{KARAP} -Andre Weimerskirch and Christof Paar, \textit{Generalizations of the Karatsuba Algorithm for Polynomial Multiplication}, Submitted to Design, Codes and Cryptography, March 2002 - -\bibitem[7]{BARRETT} -Paul Barrett, \textit{Implementing the Rivest Shamir and Adleman Public Key Encryption Algorithm on a Standard Digital Signal Processor}, Advances in Cryptology, Crypto '86, Springer-Verlag. - -\bibitem[8]{MONT} -P.L.Montgomery. \textit{Modular multiplication without trial division}. Mathematics of Computation, 44(170):519-521, April 1985. - -\bibitem[9]{DRMET} -Chae Hoon Lim and Pil Joong Lee, \textit{Generating Efficient Primes for Discrete Log Cryptosystems}, POSTECH Information Research Laboratories - -\bibitem[10]{MMB} -J. Daemen and R. Govaerts and J. Vandewalle, \textit{Block ciphers based on Modular Arithmetic}, State and {P}rogress in the {R}esearch of {C}ryptography, 1993, pp. 80-89 - -\bibitem[11]{RSAREF} -R.L. Rivest, A. Shamir, L. Adleman, \textit{A Method for Obtaining Digital Signatures and Public-Key Cryptosystems} - -\bibitem[12]{DHREF} -Whitfield Diffie, Martin E. Hellman, \textit{New Directions in Cryptography}, IEEE Transactions on Information Theory, 1976 - -\bibitem[13]{IEEE} -IEEE Standard for Binary Floating-Point Arithmetic (ANSI/IEEE Std 754-1985) - -\bibitem[14]{GMP} -GNU Multiple Precision (GMP), \url{http://www.swox.com/gmp/} - -\bibitem[15]{MPI} -Multiple Precision Integer Library (MPI), Michael Fromberger, \url{http://thayer.dartmouth.edu/~sting/mpi/} - -\bibitem[16]{OPENSSL} -OpenSSL Cryptographic Toolkit, \url{http://openssl.org} - -\bibitem[17]{LIP} -Large Integer Package, \url{http://home.hetnet.nl/~ecstr/LIP.zip} - -\bibitem[18]{ISOC} -JTC1/SC22/WG14, ISO/IEC 9899:1999, ``A draft rationale for the C99 standard.'' - -\bibitem[19]{JAVA} -The Sun Java Website, \url{http://java.sun.com/} - -\end{thebibliography} - -\input{tommath.ind} - -\end{document} -- cgit v0.12 From cbb0665d7d54dbcecf538a4c5564c6f233294a11 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 17 Nov 2016 11:38:13 +0000 Subject: Add test-case for mp_iseven(). If mp_iseven(0) ever returns 0, we will be warned that we are using the wrong mp_iseven() function. --- generic/tclTestObj.c | 25 +++++++++++++++++++++++-- generic/tclTomMath.h | 2 +- tests/obj.test | 7 +++++++ 3 files changed, 31 insertions(+), 3 deletions(-) diff --git a/generic/tclTestObj.c b/generic/tclTestObj.c index 6053ae3..1cbe67a 100644 --- a/generic/tclTestObj.c +++ b/generic/tclTestObj.c @@ -152,10 +152,10 @@ TestbignumobjCmd( Tcl_Obj *const objv[]) /* Argument vector */ { const char *const subcmds[] = { - "set", "get", "mult10", "div10", NULL + "set", "get", "mult10", "div10", "iseven", NULL }; enum options { - BIGNUM_SET, BIGNUM_GET, BIGNUM_MULT10, BIGNUM_DIV10 + BIGNUM_SET, BIGNUM_GET, BIGNUM_MULT10, BIGNUM_DIV10, BIGNUM_ISEVEN }; int index, varIndex; const char *string; @@ -274,6 +274,27 @@ TestbignumobjCmd( } else { SetVarToObj(varPtr, varIndex, Tcl_NewBignumObj(&newValue)); } + break; + + case BIGNUM_ISEVEN: + if (objc != 3) { + Tcl_WrongNumArgs(interp, 2, objv, "varIndex"); + return TCL_ERROR; + } + if (CheckIfVarUnset(interp, varPtr,varIndex)) { + return TCL_ERROR; + } + if (Tcl_GetBignumFromObj(interp, varPtr[varIndex], + &bignumValue) != TCL_OK) { + return TCL_ERROR; + } + if (!Tcl_IsShared(varPtr[varIndex])) { + Tcl_SetIntObj(varPtr[varIndex], mp_iseven(&bignumValue)); + } else { + SetVarToObj(varPtr, varIndex, Tcl_NewIntObj(mp_iseven(&bignumValue))); + } + mp_clear(&bignumValue); + break; } Tcl_SetObjResult(interp, varPtr[varIndex]); diff --git a/generic/tclTomMath.h b/generic/tclTomMath.h index 6b96d2c..9b899fe 100644 --- a/generic/tclTomMath.h +++ b/generic/tclTomMath.h @@ -243,7 +243,7 @@ int mp_init_size(mp_int *a, int size); /* ---> Basic Manipulations <--- */ #define mp_iszero(a) (((a)->used == 0) ? MP_YES : MP_NO) -#define mp_iseven(a) ((((a)->used > 0) && (((a)->dp[0] & 1u) == 0u)) ? MP_YES : MP_NO) +#define mp_iseven(a) ((((a)->used == 0) || (((a)->dp[0] & 1u) == 0u)) ? MP_YES : MP_NO) #define mp_isodd(a) ((((a)->used > 0) && (((a)->dp[0] & 1u) == 1u)) ? MP_YES : MP_NO) #define mp_isneg(a) (((a)->sign != MP_ZPOS) ? MP_YES : MP_NO) diff --git a/tests/obj.test b/tests/obj.test index a8d2d20..c354d69 100644 --- a/tests/obj.test +++ b/tests/obj.test @@ -625,6 +625,13 @@ test obj-33.7 {integer overflow on input} { list [string is integer $x] [expr { wide($x) }] } {0 -4294967296} +test obj-34.1 {mp_iseven} testobj { + set result "" + lappend result [testbignumobj set 1 0] + lappend result [testbignumobj iseven 1] ; + lappend result [testobj type 1] +} {0 1 int} + if {[testConstraint testobj]} { testobj freeallvars } -- cgit v0.12 From 7b09e3867d1705d3d223ae5383297ee336f03149 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 17 Nov 2016 13:18:17 +0000 Subject: Restore bn_mp_add_d.c to exact copy of libtommath-1.0 version: Since the mp_clamp() function already restores the sign of it's argument to positive if c->used ==0, it is not necessary to do that twice. Therefore, the original version of the code is correct. --- libtommath/bn_mp_add_d.c | 5 ++--- 1 file changed, 2 insertions(+), 3 deletions(-) diff --git a/libtommath/bn_mp_add_d.c b/libtommath/bn_mp_add_d.c index 26a165b..4d4e1df 100644 --- a/libtommath/bn_mp_add_d.c +++ b/libtommath/bn_mp_add_d.c @@ -37,9 +37,8 @@ mp_add_d (mp_int * a, mp_digit b, mp_int * c) /* c = |a| - b */ res = mp_sub_d(a, b, c); - /* fix signs */ - a->sign = MP_NEG; - c->sign = (c->used) ? MP_NEG : MP_ZPOS; + /* fix sign */ + a->sign = c->sign = MP_NEG; /* clamp */ mp_clamp(c); -- cgit v0.12 From 44774dc3238ca1e269c6acedcbdfb449780c96f9 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 17 Nov 2016 15:30:32 +0000 Subject: Restore bn_mp_radix_size.c to exact copy of libtommath-1.0 version: Since the radix_size of "9" should return 2, not 3. Add test-case to prove that. --- generic/tclObj.c | 8 +++----- generic/tclTestObj.c | 28 ++++++++++++++++++++++++++-- libtommath/bn_mp_radix_size.c | 13 ++----------- tests/obj.test | 6 ++++++ 4 files changed, 37 insertions(+), 18 deletions(-) diff --git a/generic/tclObj.c b/generic/tclObj.c index d3f59ec..6c850af 100644 --- a/generic/tclObj.c +++ b/generic/tclObj.c @@ -3252,13 +3252,11 @@ UpdateStringOfBignum( if (status != MP_OKAY) { Tcl_Panic("radix size failure in UpdateStringOfBignum"); } - if (size == 3) { + if (size < 2) { /* - * mp_radix_size() returns 3 when more than INT_MAX bytes would be + * mp_radix_size() returns < 2 when more than INT_MAX bytes would be * needed to hold the string rep (because mp_radix_size ignores - * integer overflow issues). When we know the string rep will be more - * than 3, we can conclude the string rep would overflow our string - * length limits. + * integer overflow issues). * * Note that so long as we enforce our bignums to the size that fits * in a packed bignum, this branch will never be taken. diff --git a/generic/tclTestObj.c b/generic/tclTestObj.c index 1cbe67a..06f8e5f 100644 --- a/generic/tclTestObj.c +++ b/generic/tclTestObj.c @@ -152,10 +152,11 @@ TestbignumobjCmd( Tcl_Obj *const objv[]) /* Argument vector */ { const char *const subcmds[] = { - "set", "get", "mult10", "div10", "iseven", NULL + "set", "get", "mult10", "div10", "iseven", "radixsize", NULL }; enum options { - BIGNUM_SET, BIGNUM_GET, BIGNUM_MULT10, BIGNUM_DIV10, BIGNUM_ISEVEN + BIGNUM_SET, BIGNUM_GET, BIGNUM_MULT10, BIGNUM_DIV10, BIGNUM_ISEVEN, + BIGNUM_RADIXSIZE }; int index, varIndex; const char *string; @@ -295,6 +296,29 @@ TestbignumobjCmd( } mp_clear(&bignumValue); break; + + case BIGNUM_RADIXSIZE: + if (objc != 3) { + Tcl_WrongNumArgs(interp, 2, objv, "varIndex"); + return TCL_ERROR; + } + if (CheckIfVarUnset(interp, varPtr,varIndex)) { + return TCL_ERROR; + } + if (Tcl_GetBignumFromObj(interp, varPtr[varIndex], + &bignumValue) != TCL_OK) { + return TCL_ERROR; + } + if (mp_radix_size(&bignumValue, 10, &index) != MP_OKAY) { + return TCL_ERROR; + } + if (!Tcl_IsShared(varPtr[varIndex])) { + Tcl_SetIntObj(varPtr[varIndex], index); + } else { + SetVarToObj(varPtr, varIndex, Tcl_NewIntObj(index)); + } + mp_clear(&bignumValue); + break; } Tcl_SetObjResult(interp, varPtr[varIndex]); diff --git a/libtommath/bn_mp_radix_size.c b/libtommath/bn_mp_radix_size.c index 9c60401..e5d7772 100644 --- a/libtommath/bn_mp_radix_size.c +++ b/libtommath/bn_mp_radix_size.c @@ -66,17 +66,8 @@ int mp_radix_size (mp_int * a, int radix, int *size) } mp_clear (&t); - /* - * return digs + 1, the 1 is for the NULL byte that would be required. - * mp_toradix_n requires a minimum of 3 bytes, so never report less than - * that. - */ - - if ( digs >= 2 ) { - *size = digs + 1; - } else { - *size = 3; - } + /* return digs + 1, the 1 is for the NULL byte that would be required. */ + *size = digs + 1; return MP_OKAY; } diff --git a/tests/obj.test b/tests/obj.test index c354d69..833c906 100644 --- a/tests/obj.test +++ b/tests/obj.test @@ -631,6 +631,12 @@ test obj-34.1 {mp_iseven} testobj { lappend result [testbignumobj iseven 1] ; lappend result [testobj type 1] } {0 1 int} +test obj-34.2 {mp_radix_size} testobj { + set result "" + lappend result [testbignumobj set 1 9] + lappend result [testbignumobj radixsize 1] ; + lappend result [testobj type 1] +} {9 2 int} if {[testConstraint testobj]} { testobj freeallvars -- cgit v0.12 From 3aefaf62e4de2181582277bb60fe2a4ee5c506a2 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 17 Nov 2016 16:12:14 +0000 Subject: Fix libtommath's mp_radix_size() function such that it returns 2 for single-digit numbers. Add testcases for mp_radix_size() and mp_iseven(). Undo useless change in bn_mp_add_d.c (bring back libtommath's version). --- generic/tclObj.c | 8 +++---- generic/tclTestObj.c | 49 +++++++++++++++++++++++++++++++++++++++++-- libtommath/bn_mp_add_d.c | 11 ++++++---- libtommath/bn_mp_radix_size.c | 19 +++++++---------- tests/obj.test | 13 ++++++++++++ 5 files changed, 77 insertions(+), 23 deletions(-) diff --git a/generic/tclObj.c b/generic/tclObj.c index 230842a..5b11071 100644 --- a/generic/tclObj.c +++ b/generic/tclObj.c @@ -3230,13 +3230,11 @@ UpdateStringOfBignum( if (status != MP_OKAY) { Tcl_Panic("radix size failure in UpdateStringOfBignum"); } - if (size == 3) { + if (size < 2) { /* - * mp_radix_size() returns 3 when more than INT_MAX bytes would be + * mp_radix_size() returns < 2 when more than INT_MAX bytes would be * needed to hold the string rep (because mp_radix_size ignores - * integer overflow issues). When we know the string rep will be more - * than 3, we can conclude the string rep would overflow our string - * length limits. + * integer overflow issues). * * Note that so long as we enforce our bignums to the size that fits * in a packed bignum, this branch will never be taken. diff --git a/generic/tclTestObj.c b/generic/tclTestObj.c index f113cfe..4226d51 100644 --- a/generic/tclTestObj.c +++ b/generic/tclTestObj.c @@ -132,10 +132,11 @@ TestbignumobjCmd( Tcl_Obj *const objv[]) /* Argument vector */ { const char * subcmds[] = { - "set", "get", "mult10", "div10", NULL + "set", "get", "mult10", "div10", "iseven", "radixsize", NULL }; enum options { - BIGNUM_SET, BIGNUM_GET, BIGNUM_MULT10, BIGNUM_DIV10 + BIGNUM_SET, BIGNUM_GET, BIGNUM_MULT10, BIGNUM_DIV10, BIGNUM_ISEVEN, + BIGNUM_RADIXSIZE }; int index, varIndex; @@ -253,6 +254,50 @@ TestbignumobjCmd( } else { SetVarToObj(varIndex, Tcl_NewBignumObj(&newValue)); } + break; + + case BIGNUM_ISEVEN: + if (objc != 3) { + Tcl_WrongNumArgs(interp, 2, objv, "varIndex"); + return TCL_ERROR; + } + if (CheckIfVarUnset(interp, varIndex)) { + return TCL_ERROR; + } + if (Tcl_GetBignumFromObj(interp, varPtr[varIndex], + &bignumValue) != TCL_OK) { + return TCL_ERROR; + } + if (!Tcl_IsShared(varPtr[varIndex])) { + Tcl_SetIntObj(varPtr[varIndex], mp_iseven(&bignumValue)); + } else { + SetVarToObj(varIndex, Tcl_NewIntObj(mp_iseven(&bignumValue))); + } + mp_clear(&bignumValue); + break; + + case BIGNUM_RADIXSIZE: + if (objc != 3) { + Tcl_WrongNumArgs(interp, 2, objv, "varIndex"); + return TCL_ERROR; + } + if (CheckIfVarUnset(interp, varIndex)) { + return TCL_ERROR; + } + if (Tcl_GetBignumFromObj(interp, varPtr[varIndex], + &bignumValue) != TCL_OK) { + return TCL_ERROR; + } + if (mp_radix_size(&bignumValue, 10, &index) != MP_OKAY) { + return TCL_ERROR; + } + if (!Tcl_IsShared(varPtr[varIndex])) { + Tcl_SetIntObj(varPtr[varIndex], index); + } else { + SetVarToObj(varIndex, Tcl_NewIntObj(index)); + } + mp_clear(&bignumValue); + break; } Tcl_SetObjResult(interp, varPtr[varIndex]); diff --git a/libtommath/bn_mp_add_d.c b/libtommath/bn_mp_add_d.c index 5281ad4..aec8fc8 100644 --- a/libtommath/bn_mp_add_d.c +++ b/libtommath/bn_mp_add_d.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* single digit addition */ @@ -37,9 +37,8 @@ mp_add_d (mp_int * a, mp_digit b, mp_int * c) /* c = |a| - b */ res = mp_sub_d(a, b, c); - /* fix signs */ - a->sign = MP_NEG; - c->sign = (c->used) ? MP_NEG : MP_ZPOS; + /* fix sign */ + a->sign = c->sign = MP_NEG; /* clamp */ mp_clamp(c); @@ -107,3 +106,7 @@ mp_add_d (mp_int * a, mp_digit b, mp_int * c) } #endif + +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/libtommath/bn_mp_radix_size.c b/libtommath/bn_mp_radix_size.c index 40c4d04..9d95c48 100644 --- a/libtommath/bn_mp_radix_size.c +++ b/libtommath/bn_mp_radix_size.c @@ -12,7 +12,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com + * Tom St Denis, tomstdenis@gmail.com, http://libtom.org */ /* returns size of ASCII reprensentation */ @@ -66,18 +66,13 @@ int mp_radix_size (mp_int * a, int radix, int *size) } mp_clear (&t); - /* - * return digs + 1, the 1 is for the NULL byte that would be required. - * mp_toradix_n requires a minimum of 3 bytes, so never report less than - * that. - */ - - if ( digs >= 2 ) { - *size = digs + 1; - } else { - *size = 3; - } + /* return digs + 1, the 1 is for the NULL byte that would be required. */ + *size = digs + 1; return MP_OKAY; } #endif + +/* $Source$ */ +/* $Revision: 0.41 $ */ +/* $Date: 2007-04-18 09:58:18 +0000 $ */ diff --git a/tests/obj.test b/tests/obj.test index 126d5ca..f8aae59 100644 --- a/tests/obj.test +++ b/tests/obj.test @@ -623,6 +623,19 @@ test obj-33.7 {integer overflow on input} {longIs32bit wideBiggerThanInt} { list [string is integer $x] [expr { wide($x) }] } {0 -4294967296} +test obj-34.1 {mp_iseven} testobj { + set result "" + lappend result [testbignumobj set 1 0] + lappend result [testbignumobj iseven 1] ; + lappend result [testobj type 1] +} {0 1 int} +test obj-34.2 {mp_radix_size} testobj { + set result "" + lappend result [testbignumobj set 1 9] + lappend result [testbignumobj radixsize 1] ; + lappend result [testobj type 1] +} {9 2 int} + if {[testConstraint testobj]} { testobj freeallvars } -- cgit v0.12 From e0c2fc16a8641c16944de458557edf2d315d688b Mon Sep 17 00:00:00 2001 From: andy Date: Fri, 18 Nov 2016 03:34:32 +0000 Subject: Remove extra space in documentation for [file stat] --- doc/file.n | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/doc/file.n b/doc/file.n index 2f8b70c..ad35dd5 100644 --- a/doc/file.n +++ b/doc/file.n @@ -390,7 +390,7 @@ that use the third component do not attempt to perform tilde substitution. .RE .TP -\fBfile stat \fIname varName\fR +\fBfile stat \fIname varName\fR . Invokes the \fBstat\fR kernel call on \fIname\fR, and uses the variable given by \fIvarName\fR to hold information returned from the kernel call. -- cgit v0.12 From 39a4505f7ed7cdb4cbd148aa62775e81ecbe5dc0 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 18 Nov 2016 10:23:24 +0000 Subject: Fix mp_cnt_lsb() signature, so it matches the signature used in Tcl. Add two missing "static" keywords in tclUnixNotfy.c. Remove some more files in libtommath directory which are not useful for Tcl. --- .fossil-settings/ignore-glob | 6 + generic/tclTomMath.h | 2 +- libtommath/bn.tex | 1835 ------------ libtommath/booker.pl | 265 -- libtommath/dep.pl | 123 - libtommath/gen.pl | 17 - libtommath/mess.sh | 4 - libtommath/poster.tex | 35 - libtommath/pretty.build | 66 - libtommath/tommath.h | 2 +- libtommath/tommath.src | 6350 ------------------------------------------ unix/tclUnixNotfy.c | 4 +- 12 files changed, 10 insertions(+), 8699 deletions(-) delete mode 100644 libtommath/bn.tex delete mode 100644 libtommath/booker.pl delete mode 100644 libtommath/dep.pl delete mode 100644 libtommath/gen.pl delete mode 100644 libtommath/mess.sh delete mode 100644 libtommath/poster.tex delete mode 100644 libtommath/pretty.build delete mode 100644 libtommath/tommath.src diff --git a/.fossil-settings/ignore-glob b/.fossil-settings/ignore-glob index 840bfed..2f93505 100644 --- a/.fossil-settings/ignore-glob +++ b/.fossil-settings/ignore-glob @@ -19,7 +19,11 @@ */versions.vc libtommath/bn.ilg libtommath/bn.ind +libtommath/pretty.build +libtommath/tommath.src libtommath/*.pdf +libtommath/*.pl +libtommath/*.sh libtommath/tombc/* libtommath/pre_gen/* libtommath/pics/* @@ -29,8 +33,10 @@ libtommath/etc/* libtommath/demo/* libtommath/*.out libtommath/*.tex +unix/autoMkindex.tcl unix/dltest.marker unix/tcl.pc +unix/tclIndex unix/pkgs/* win/pkgs/* win/tcl.hpj diff --git a/generic/tclTomMath.h b/generic/tclTomMath.h index dd9edaf..c1d83c4 100644 --- a/generic/tclTomMath.h +++ b/generic/tclTomMath.h @@ -346,7 +346,7 @@ int mp_2expt(mp_int *a, int b); /* Counts the number of lsbs which are zero before the first zero bit */ /* -int mp_cnt_lsb(mp_int *a); +int mp_cnt_lsb(const mp_int *a); */ /* I Love Earth! */ diff --git a/libtommath/bn.tex b/libtommath/bn.tex deleted file mode 100644 index e8eb994..0000000 --- a/libtommath/bn.tex +++ /dev/null @@ -1,1835 +0,0 @@ -\documentclass[b5paper]{book} -\usepackage{hyperref} -\usepackage{makeidx} -\usepackage{amssymb} -\usepackage{color} -\usepackage{alltt} -\usepackage{graphicx} -\usepackage{layout} -\def\union{\cup} -\def\intersect{\cap} -\def\getsrandom{\stackrel{\rm R}{\gets}} -\def\cross{\times} -\def\cat{\hspace{0.5em} \| \hspace{0.5em}} -\def\catn{$\|$} -\def\divides{\hspace{0.3em} | \hspace{0.3em}} -\def\nequiv{\not\equiv} -\def\approx{\raisebox{0.2ex}{\mbox{\small $\sim$}}} -\def\lcm{{\rm lcm}} -\def\gcd{{\rm gcd}} -\def\log{{\rm log}} -\def\ord{{\rm ord}} -\def\abs{{\mathit abs}} -\def\rep{{\mathit rep}} -\def\mod{{\mathit\ mod\ }} -\renewcommand{\pmod}[1]{\ ({\rm mod\ }{#1})} -\newcommand{\floor}[1]{\left\lfloor{#1}\right\rfloor} -\newcommand{\ceil}[1]{\left\lceil{#1}\right\rceil} -\def\Or{{\rm\ or\ }} -\def\And{{\rm\ and\ }} -\def\iff{\hspace{1em}\Longleftrightarrow\hspace{1em}} -\def\implies{\Rightarrow} -\def\undefined{{\rm ``undefined"}} -\def\Proof{\vspace{1ex}\noindent {\bf Proof:}\hspace{1em}} -\let\oldphi\phi -\def\phi{\varphi} -\def\Pr{{\rm Pr}} -\newcommand{\str}[1]{{\mathbf{#1}}} -\def\F{{\mathbb F}} -\def\N{{\mathbb N}} -\def\Z{{\mathbb Z}} -\def\R{{\mathbb R}} -\def\C{{\mathbb C}} -\def\Q{{\mathbb Q}} -\definecolor{DGray}{gray}{0.5} -\newcommand{\emailaddr}[1]{\mbox{$<${#1}$>$}} -\def\twiddle{\raisebox{0.3ex}{\mbox{\tiny $\sim$}}} -\def\gap{\vspace{0.5ex}} -\makeindex -\begin{document} -\frontmatter -\pagestyle{empty} -\title{LibTomMath User Manual \\ v0.39} -\author{Tom St Denis \\ tomstdenis@iahu.ca} -\maketitle -This text, the library and the accompanying textbook are all hereby placed in the public domain. This book has been -formatted for B5 [176x250] paper using the \LaTeX{} {\em book} macro package. - -\vspace{10cm} - -\begin{flushright}Open Source. Open Academia. Open Minds. - -\mbox{ } - -Tom St Denis, - -Ontario, Canada -\end{flushright} - -\tableofcontents -\listoffigures -\mainmatter -\pagestyle{headings} -\chapter{Introduction} -\section{What is LibTomMath?} -LibTomMath is a library of source code which provides a series of efficient and carefully written functions for manipulating -large integer numbers. It was written in portable ISO C source code so that it will build on any platform with a conforming -C compiler. - -In a nutshell the library was written from scratch with verbose comments to help instruct computer science students how -to implement ``bignum'' math. However, the resulting code has proven to be very useful. It has been used by numerous -universities, commercial and open source software developers. It has been used on a variety of platforms ranging from -Linux and Windows based x86 to ARM based Gameboys and PPC based MacOS machines. - -\section{License} -As of the v0.25 the library source code has been placed in the public domain with every new release. As of the v0.28 -release the textbook ``Implementing Multiple Precision Arithmetic'' has been placed in the public domain with every new -release as well. This textbook is meant to compliment the project by providing a more solid walkthrough of the development -algorithms used in the library. - -Since both\footnote{Note that the MPI files under mtest/ are copyrighted by Michael Fromberger. They are not required to use LibTomMath.} are in the -public domain everyone is entitled to do with them as they see fit. - -\section{Building LibTomMath} - -LibTomMath is meant to be very ``GCC friendly'' as it comes with a makefile well suited for GCC. However, the library will -also build in MSVC, Borland C out of the box. For any other ISO C compiler a makefile will have to be made by the end -developer. - -\subsection{Static Libraries} -To build as a static library for GCC issue the following -\begin{alltt} -make -\end{alltt} - -command. This will build the library and archive the object files in ``libtommath.a''. Now you link against -that and include ``tommath.h'' within your programs. Alternatively to build with MSVC issue the following -\begin{alltt} -nmake -f makefile.msvc -\end{alltt} - -This will build the library and archive the object files in ``tommath.lib''. This has been tested with MSVC -version 6.00 with service pack 5. - -\subsection{Shared Libraries} -To build as a shared library for GCC issue the following -\begin{alltt} -make -f makefile.shared -\end{alltt} -This requires the ``libtool'' package (common on most Linux/BSD systems). It will build LibTomMath as both shared -and static then install (by default) into /usr/lib as well as install the header files in /usr/include. The shared -library (resource) will be called ``libtommath.la'' while the static library called ``libtommath.a''. Generally -you use libtool to link your application against the shared object. - -There is limited support for making a ``DLL'' in windows via the ``makefile.cygwin\_dll'' makefile. It requires -Cygwin to work with since it requires the auto-export/import functionality. The resulting DLL and import library -``libtommath.dll.a'' can be used to link LibTomMath dynamically to any Windows program using Cygwin. - -\subsection{Testing} -To build the library and the test harness type - -\begin{alltt} -make test -\end{alltt} - -This will build the library, ``test'' and ``mtest/mtest''. The ``test'' program will accept test vectors and verify the -results. ``mtest/mtest'' will generate test vectors using the MPI library by Michael Fromberger\footnote{A copy of MPI -is included in the package}. Simply pipe mtest into test using - -\begin{alltt} -mtest/mtest | test -\end{alltt} - -If you do not have a ``/dev/urandom'' style RNG source you will have to write your own PRNG and simply pipe that into -mtest. For example, if your PRNG program is called ``myprng'' simply invoke - -\begin{alltt} -myprng | mtest/mtest | test -\end{alltt} - -This will output a row of numbers that are increasing. Each column is a different test (such as addition, multiplication, etc) -that is being performed. The numbers represent how many times the test was invoked. If an error is detected the program -will exit with a dump of the relevent numbers it was working with. - -\section{Build Configuration} -LibTomMath can configured at build time in three phases we shall call ``depends'', ``tweaks'' and ``trims''. -Each phase changes how the library is built and they are applied one after another respectively. - -To make the system more powerful you can tweak the build process. Classes are defined in the file -``tommath\_superclass.h''. By default, the symbol ``LTM\_ALL'' shall be defined which simply -instructs the system to build all of the functions. This is how LibTomMath used to be packaged. This will give you -access to every function LibTomMath offers. - -However, there are cases where such a build is not optional. For instance, you want to perform RSA operations. You -don't need the vast majority of the library to perform these operations. Aside from LTM\_ALL there is -another pre--defined class ``SC\_RSA\_1'' which works in conjunction with the RSA from LibTomCrypt. Additional -classes can be defined base on the need of the user. - -\subsection{Build Depends} -In the file tommath\_class.h you will see a large list of C ``defines'' followed by a series of ``ifdefs'' -which further define symbols. All of the symbols (technically they're macros $\ldots$) represent a given C source -file. For instance, BN\_MP\_ADD\_C represents the file ``bn\_mp\_add.c''. When a define has been enabled the -function in the respective file will be compiled and linked into the library. Accordingly when the define -is absent the file will not be compiled and not contribute any size to the library. - -You will also note that the header tommath\_class.h is actually recursively included (it includes itself twice). -This is to help resolve as many dependencies as possible. In the last pass the symbol LTM\_LAST will be defined. -This is useful for ``trims''. - -\subsection{Build Tweaks} -A tweak is an algorithm ``alternative''. For example, to provide tradeoffs (usually between size and space). -They can be enabled at any pass of the configuration phase. - -\begin{small} -\begin{center} -\begin{tabular}{|l|l|} -\hline \textbf{Define} & \textbf{Purpose} \\ -\hline BN\_MP\_DIV\_SMALL & Enables a slower, smaller and equally \\ - & functional mp\_div() function \\ -\hline -\end{tabular} -\end{center} -\end{small} - -\subsection{Build Trims} -A trim is a manner of removing functionality from a function that is not required. For instance, to perform -RSA cryptography you only require exponentiation with odd moduli so even moduli support can be safely removed. -Build trims are meant to be defined on the last pass of the configuration which means they are to be defined -only if LTM\_LAST has been defined. - -\subsubsection{Moduli Related} -\begin{small} -\begin{center} -\begin{tabular}{|l|l|} -\hline \textbf{Restriction} & \textbf{Undefine} \\ -\hline Exponentiation with odd moduli only & BN\_S\_MP\_EXPTMOD\_C \\ - & BN\_MP\_REDUCE\_C \\ - & BN\_MP\_REDUCE\_SETUP\_C \\ - & BN\_S\_MP\_MUL\_HIGH\_DIGS\_C \\ - & BN\_FAST\_S\_MP\_MUL\_HIGH\_DIGS\_C \\ -\hline Exponentiation with random odd moduli & (The above plus the following) \\ - & BN\_MP\_REDUCE\_2K\_C \\ - & BN\_MP\_REDUCE\_2K\_SETUP\_C \\ - & BN\_MP\_REDUCE\_IS\_2K\_C \\ - & BN\_MP\_DR\_IS\_MODULUS\_C \\ - & BN\_MP\_DR\_REDUCE\_C \\ - & BN\_MP\_DR\_SETUP\_C \\ -\hline Modular inverse odd moduli only & BN\_MP\_INVMOD\_SLOW\_C \\ -\hline Modular inverse (both, smaller/slower) & BN\_FAST\_MP\_INVMOD\_C \\ -\hline -\end{tabular} -\end{center} -\end{small} - -\subsubsection{Operand Size Related} -\begin{small} -\begin{center} -\begin{tabular}{|l|l|} -\hline \textbf{Restriction} & \textbf{Undefine} \\ -\hline Moduli $\le 2560$ bits & BN\_MP\_MONTGOMERY\_REDUCE\_C \\ - & BN\_S\_MP\_MUL\_DIGS\_C \\ - & BN\_S\_MP\_MUL\_HIGH\_DIGS\_C \\ - & BN\_S\_MP\_SQR\_C \\ -\hline Polynomial Schmolynomial & BN\_MP\_KARATSUBA\_MUL\_C \\ - & BN\_MP\_KARATSUBA\_SQR\_C \\ - & BN\_MP\_TOOM\_MUL\_C \\ - & BN\_MP\_TOOM\_SQR\_C \\ - -\hline -\end{tabular} -\end{center} -\end{small} - - -\section{Purpose of LibTomMath} -Unlike GNU MP (GMP) Library, LIP, OpenSSL or various other commercial kits (Miracl), LibTomMath was not written with -bleeding edge performance in mind. First and foremost LibTomMath was written to be entirely open. Not only is the -source code public domain (unlike various other GPL/etc licensed code), not only is the code freely downloadable but the -source code is also accessible for computer science students attempting to learn ``BigNum'' or multiple precision -arithmetic techniques. - -LibTomMath was written to be an instructive collection of source code. This is why there are many comments, only one -function per source file and often I use a ``middle-road'' approach where I don't cut corners for an extra 2\% speed -increase. - -Source code alone cannot really teach how the algorithms work which is why I also wrote a textbook that accompanies -the library (beat that!). - -So you may be thinking ``should I use LibTomMath?'' and the answer is a definite maybe. Let me tabulate what I think -are the pros and cons of LibTomMath by comparing it to the math routines from GnuPG\footnote{GnuPG v1.2.3 versus LibTomMath v0.28}. - -\newpage\begin{figure}[here] -\begin{small} -\begin{center} -\begin{tabular}{|l|c|c|l|} -\hline \textbf{Criteria} & \textbf{Pro} & \textbf{Con} & \textbf{Notes} \\ -\hline Few lines of code per file & X & & GnuPG $ = 300.9$, LibTomMath $ = 71.97$ \\ -\hline Commented function prototypes & X && GnuPG function names are cryptic. \\ -\hline Speed && X & LibTomMath is slower. \\ -\hline Totally free & X & & GPL has unfavourable restrictions.\\ -\hline Large function base & X & & GnuPG is barebones. \\ -\hline Five modular reduction algorithms & X & & Faster modular exponentiation for a variety of moduli. \\ -\hline Portable & X & & GnuPG requires configuration to build. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{LibTomMath Valuation} -\end{figure} - -It may seem odd to compare LibTomMath to GnuPG since the math in GnuPG is only a small portion of the entire application. -However, LibTomMath was written with cryptography in mind. It provides essentially all of the functions a cryptosystem -would require when working with large integers. - -So it may feel tempting to just rip the math code out of GnuPG (or GnuMP where it was taken from originally) in your -own application but I think there are reasons not to. While LibTomMath is slower than libraries such as GnuMP it is -not normally significantly slower. On x86 machines the difference is normally a factor of two when performing modular -exponentiations. It depends largely on the processor, compiler and the moduli being used. - -Essentially the only time you wouldn't use LibTomMath is when blazing speed is the primary concern. However, -on the other side of the coin LibTomMath offers you a totally free (public domain) well structured math library -that is very flexible, complete and performs well in resource contrained environments. Fast RSA for example can -be performed with as little as 8KB of ram for data (again depending on build options). - -\chapter{Getting Started with LibTomMath} -\section{Building Programs} -In order to use LibTomMath you must include ``tommath.h'' and link against the appropriate library file (typically -libtommath.a). There is no library initialization required and the entire library is thread safe. - -\section{Return Codes} -There are three possible return codes a function may return. - -\index{MP\_OKAY}\index{MP\_YES}\index{MP\_NO}\index{MP\_VAL}\index{MP\_MEM} -\begin{figure}[here!] -\begin{center} -\begin{small} -\begin{tabular}{|l|l|} -\hline \textbf{Code} & \textbf{Meaning} \\ -\hline MP\_OKAY & The function succeeded. \\ -\hline MP\_VAL & The function input was invalid. \\ -\hline MP\_MEM & Heap memory exhausted. \\ -\hline &\\ -\hline MP\_YES & Response is yes. \\ -\hline MP\_NO & Response is no. \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Return Codes} -\end{figure} - -The last two codes listed are not actually ``return'ed'' by a function. They are placed in an integer (the caller must -provide the address of an integer it can store to) which the caller can access. To convert one of the three return codes -to a string use the following function. - -\index{mp\_error\_to\_string} -\begin{alltt} -char *mp_error_to_string(int code); -\end{alltt} - -This will return a pointer to a string which describes the given error code. It will not work for the return codes -MP\_YES and MP\_NO. - -\section{Data Types} -The basic ``multiple precision integer'' type is known as the ``mp\_int'' within LibTomMath. This data type is used to -organize all of the data required to manipulate the integer it represents. Within LibTomMath it has been prototyped -as the following. - -\index{mp\_int} -\begin{alltt} -typedef struct \{ - int used, alloc, sign; - mp_digit *dp; -\} mp_int; -\end{alltt} - -Where ``mp\_digit'' is a data type that represents individual digits of the integer. By default, an mp\_digit is the -ISO C ``unsigned long'' data type and each digit is $28-$bits long. The mp\_digit type can be configured to suit other -platforms by defining the appropriate macros. - -All LTM functions that use the mp\_int type will expect a pointer to mp\_int structure. You must allocate memory to -hold the structure itself by yourself (whether off stack or heap it doesn't matter). The very first thing that must be -done to use an mp\_int is that it must be initialized. - -\section{Function Organization} - -The arithmetic functions of the library are all organized to have the same style prototype. That is source operands -are passed on the left and the destination is on the right. For instance, - -\begin{alltt} -mp_add(&a, &b, &c); /* c = a + b */ -mp_mul(&a, &a, &c); /* c = a * a */ -mp_div(&a, &b, &c, &d); /* c = [a/b], d = a mod b */ -\end{alltt} - -Another feature of the way the functions have been implemented is that source operands can be destination operands as well. -For instance, - -\begin{alltt} -mp_add(&a, &b, &b); /* b = a + b */ -mp_div(&a, &b, &a, &c); /* a = [a/b], c = a mod b */ -\end{alltt} - -This allows operands to be re-used which can make programming simpler. - -\section{Initialization} -\subsection{Single Initialization} -A single mp\_int can be initialized with the ``mp\_init'' function. - -\index{mp\_init} -\begin{alltt} -int mp_init (mp_int * a); -\end{alltt} - -This function expects a pointer to an mp\_int structure and will initialize the members of the structure so the mp\_int -represents the default integer which is zero. If the functions returns MP\_OKAY then the mp\_int is ready to be used -by the other LibTomMath functions. - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int number; - int result; - - if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* use the number */ - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -\subsection{Single Free} -When you are finished with an mp\_int it is ideal to return the heap it used back to the system. The following function -provides this functionality. - -\index{mp\_clear} -\begin{alltt} -void mp_clear (mp_int * a); -\end{alltt} - -The function expects a pointer to a previously initialized mp\_int structure and frees the heap it uses. It sets the -pointer\footnote{The ``dp'' member.} within the mp\_int to \textbf{NULL} which is used to prevent double free situations. -Is is legal to call mp\_clear() twice on the same mp\_int in a row. - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int number; - int result; - - if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* use the number */ - - /* We're done with it. */ - mp_clear(&number); - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -\subsection{Multiple Initializations} -Certain algorithms require more than one large integer. In these instances it is ideal to initialize all of the mp\_int -variables in an ``all or nothing'' fashion. That is, they are either all initialized successfully or they are all -not initialized. - -The mp\_init\_multi() function provides this functionality. - -\index{mp\_init\_multi} \index{mp\_clear\_multi} -\begin{alltt} -int mp_init_multi(mp_int *mp, ...); -\end{alltt} - -It accepts a \textbf{NULL} terminated list of pointers to mp\_int structures. It will attempt to initialize them all -at once. If the function returns MP\_OKAY then all of the mp\_int variables are ready to use, otherwise none of them -are available for use. A complementary mp\_clear\_multi() function allows multiple mp\_int variables to be free'd -from the heap at the same time. - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int num1, num2, num3; - int result; - - if ((result = mp_init_multi(&num1, - &num2, - &num3, NULL)) != MP\_OKAY) \{ - printf("Error initializing the numbers. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* use the numbers */ - - /* We're done with them. */ - mp_clear_multi(&num1, &num2, &num3, NULL); - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -\subsection{Other Initializers} -To initialized and make a copy of an mp\_int the mp\_init\_copy() function has been provided. - -\index{mp\_init\_copy} -\begin{alltt} -int mp_init_copy (mp_int * a, mp_int * b); -\end{alltt} - -This function will initialize $a$ and make it a copy of $b$ if all goes well. - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int num1, num2; - int result; - - /* initialize and do work on num1 ... */ - - /* We want a copy of num1 in num2 now */ - if ((result = mp_init_copy(&num2, &num1)) != MP_OKAY) \{ - printf("Error initializing the copy. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* now num2 is ready and contains a copy of num1 */ - - /* We're done with them. */ - mp_clear_multi(&num1, &num2, NULL); - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -Another less common initializer is mp\_init\_size() which allows the user to initialize an mp\_int with a given -default number of digits. By default, all initializers allocate \textbf{MP\_PREC} digits. This function lets -you override this behaviour. - -\index{mp\_init\_size} -\begin{alltt} -int mp_init_size (mp_int * a, int size); -\end{alltt} - -The $size$ parameter must be greater than zero. If the function succeeds the mp\_int $a$ will be initialized -to have $size$ digits (which are all initially zero). - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int number; - int result; - - /* we need a 60-digit number */ - if ((result = mp_init_size(&number, 60)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* use the number */ - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -\section{Maintenance Functions} - -\subsection{Reducing Memory Usage} -When an mp\_int is in a state where it won't be changed again\footnote{A Diffie-Hellman modulus for instance.} excess -digits can be removed to return memory to the heap with the mp\_shrink() function. - -\index{mp\_shrink} -\begin{alltt} -int mp_shrink (mp_int * a); -\end{alltt} - -This will remove excess digits of the mp\_int $a$. If the operation fails the mp\_int should be intact without the -excess digits being removed. Note that you can use a shrunk mp\_int in further computations, however, such operations -will require heap operations which can be slow. It is not ideal to shrink mp\_int variables that you will further -modify in the system (unless you are seriously low on memory). - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int number; - int result; - - if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* use the number [e.g. pre-computation] */ - - /* We're done with it for now. */ - if ((result = mp_shrink(&number)) != MP_OKAY) \{ - printf("Error shrinking the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* use it .... */ - - - /* we're done with it. */ - mp_clear(&number); - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -\subsection{Adding additional digits} - -Within the mp\_int structure are two parameters which control the limitations of the array of digits that represent -the integer the mp\_int is meant to equal. The \textit{used} parameter dictates how many digits are significant, that is, -contribute to the value of the mp\_int. The \textit{alloc} parameter dictates how many digits are currently available in -the array. If you need to perform an operation that requires more digits you will have to mp\_grow() the mp\_int to -your desired size. - -\index{mp\_grow} -\begin{alltt} -int mp_grow (mp_int * a, int size); -\end{alltt} - -This will grow the array of digits of $a$ to $size$. If the \textit{alloc} parameter is already bigger than -$size$ the function will not do anything. - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int number; - int result; - - if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* use the number */ - - /* We need to add 20 digits to the number */ - if ((result = mp_grow(&number, number.alloc + 20)) != MP_OKAY) \{ - printf("Error growing the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - - /* use the number */ - - /* we're done with it. */ - mp_clear(&number); - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -\chapter{Basic Operations} -\section{Small Constants} -Setting mp\_ints to small constants is a relatively common operation. To accomodate these instances there are two -small constant assignment functions. The first function is used to set a single digit constant while the second sets -an ISO C style ``unsigned long'' constant. The reason for both functions is efficiency. Setting a single digit is quick but the -domain of a digit can change (it's always at least $0 \ldots 127$). - -\subsection{Single Digit} - -Setting a single digit can be accomplished with the following function. - -\index{mp\_set} -\begin{alltt} -void mp_set (mp_int * a, mp_digit b); -\end{alltt} - -This will zero the contents of $a$ and make it represent an integer equal to the value of $b$. Note that this -function has a return type of \textbf{void}. It cannot cause an error so it is safe to assume the function -succeeded. - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int number; - int result; - - if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* set the number to 5 */ - mp_set(&number, 5); - - /* we're done with it. */ - mp_clear(&number); - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -\subsection{Long Constants} - -To set a constant that is the size of an ISO C ``unsigned long'' and larger than a single digit the following function -can be used. - -\index{mp\_set\_int} -\begin{alltt} -int mp_set_int (mp_int * a, unsigned long b); -\end{alltt} - -This will assign the value of the 32-bit variable $b$ to the mp\_int $a$. Unlike mp\_set() this function will always -accept a 32-bit input regardless of the size of a single digit. However, since the value may span several digits -this function can fail if it runs out of heap memory. - -To get the ``unsigned long'' copy of an mp\_int the following function can be used. - -\index{mp\_get\_int} -\begin{alltt} -unsigned long mp_get_int (mp_int * a); -\end{alltt} - -This will return the 32 least significant bits of the mp\_int $a$. - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int number; - int result; - - if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* set the number to 654321 (note this is bigger than 127) */ - if ((result = mp_set_int(&number, 654321)) != MP_OKAY) \{ - printf("Error setting the value of the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - printf("number == \%lu", mp_get_int(&number)); - - /* we're done with it. */ - mp_clear(&number); - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -This should output the following if the program succeeds. - -\begin{alltt} -number == 654321 -\end{alltt} - -\subsection{Initialize and Setting Constants} -To both initialize and set small constants the following two functions are available. -\index{mp\_init\_set} \index{mp\_init\_set\_int} -\begin{alltt} -int mp_init_set (mp_int * a, mp_digit b); -int mp_init_set_int (mp_int * a, unsigned long b); -\end{alltt} - -Both functions work like the previous counterparts except they first mp\_init $a$ before setting the values. - -\begin{alltt} -int main(void) -\{ - mp_int number1, number2; - int result; - - /* initialize and set a single digit */ - if ((result = mp_init_set(&number1, 100)) != MP_OKAY) \{ - printf("Error setting number1: \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* initialize and set a long */ - if ((result = mp_init_set_int(&number2, 1023)) != MP_OKAY) \{ - printf("Error setting number2: \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* display */ - printf("Number1, Number2 == \%lu, \%lu", - mp_get_int(&number1), mp_get_int(&number2)); - - /* clear */ - mp_clear_multi(&number1, &number2, NULL); - - return EXIT_SUCCESS; -\} -\end{alltt} - -If this program succeeds it shall output. -\begin{alltt} -Number1, Number2 == 100, 1023 -\end{alltt} - -\section{Comparisons} - -Comparisons in LibTomMath are always performed in a ``left to right'' fashion. There are three possible return codes -for any comparison. - -\index{MP\_GT} \index{MP\_EQ} \index{MP\_LT} -\begin{figure}[here] -\begin{center} -\begin{tabular}{|c|c|} -\hline \textbf{Result Code} & \textbf{Meaning} \\ -\hline MP\_GT & $a > b$ \\ -\hline MP\_EQ & $a = b$ \\ -\hline MP\_LT & $a < b$ \\ -\hline -\end{tabular} -\end{center} -\caption{Comparison Codes for $a, b$} -\label{fig:CMP} -\end{figure} - -In figure \ref{fig:CMP} two integers $a$ and $b$ are being compared. In this case $a$ is said to be ``to the left'' of -$b$. - -\subsection{Unsigned comparison} - -An unsigned comparison considers only the digits themselves and not the associated \textit{sign} flag of the -mp\_int structures. This is analogous to an absolute comparison. The function mp\_cmp\_mag() will compare two -mp\_int variables based on their digits only. - -\index{mp\_cmp\_mag} -\begin{alltt} -int mp_cmp_mag(mp_int * a, mp_int * b); -\end{alltt} -This will compare $a$ to $b$ placing $a$ to the left of $b$. This function cannot fail and will return one of the -three compare codes listed in figure \ref{fig:CMP}. - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int number1, number2; - int result; - - if ((result = mp_init_multi(&number1, &number2, NULL)) != MP_OKAY) \{ - printf("Error initializing the numbers. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* set the number1 to 5 */ - mp_set(&number1, 5); - - /* set the number2 to -6 */ - mp_set(&number2, 6); - if ((result = mp_neg(&number2, &number2)) != MP_OKAY) \{ - printf("Error negating number2. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - switch(mp_cmp_mag(&number1, &number2)) \{ - case MP_GT: printf("|number1| > |number2|"); break; - case MP_EQ: printf("|number1| = |number2|"); break; - case MP_LT: printf("|number1| < |number2|"); break; - \} - - /* we're done with it. */ - mp_clear_multi(&number1, &number2, NULL); - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -If this program\footnote{This function uses the mp\_neg() function which is discussed in section \ref{sec:NEG}.} completes -successfully it should print the following. - -\begin{alltt} -|number1| < |number2| -\end{alltt} - -This is because $\vert -6 \vert = 6$ and obviously $5 < 6$. - -\subsection{Signed comparison} - -To compare two mp\_int variables based on their signed value the mp\_cmp() function is provided. - -\index{mp\_cmp} -\begin{alltt} -int mp_cmp(mp_int * a, mp_int * b); -\end{alltt} - -This will compare $a$ to the left of $b$. It will first compare the signs of the two mp\_int variables. If they -differ it will return immediately based on their signs. If the signs are equal then it will compare the digits -individually. This function will return one of the compare conditions codes listed in figure \ref{fig:CMP}. - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int number1, number2; - int result; - - if ((result = mp_init_multi(&number1, &number2, NULL)) != MP_OKAY) \{ - printf("Error initializing the numbers. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* set the number1 to 5 */ - mp_set(&number1, 5); - - /* set the number2 to -6 */ - mp_set(&number2, 6); - if ((result = mp_neg(&number2, &number2)) != MP_OKAY) \{ - printf("Error negating number2. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - switch(mp_cmp(&number1, &number2)) \{ - case MP_GT: printf("number1 > number2"); break; - case MP_EQ: printf("number1 = number2"); break; - case MP_LT: printf("number1 < number2"); break; - \} - - /* we're done with it. */ - mp_clear_multi(&number1, &number2, NULL); - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -If this program\footnote{This function uses the mp\_neg() function which is discussed in section \ref{sec:NEG}.} completes -successfully it should print the following. - -\begin{alltt} -number1 > number2 -\end{alltt} - -\subsection{Single Digit} - -To compare a single digit against an mp\_int the following function has been provided. - -\index{mp\_cmp\_d} -\begin{alltt} -int mp_cmp_d(mp_int * a, mp_digit b); -\end{alltt} - -This will compare $a$ to the left of $b$ using a signed comparison. Note that it will always treat $b$ as -positive. This function is rather handy when you have to compare against small values such as $1$ (which often -comes up in cryptography). The function cannot fail and will return one of the tree compare condition codes -listed in figure \ref{fig:CMP}. - - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int number; - int result; - - if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* set the number to 5 */ - mp_set(&number, 5); - - switch(mp_cmp_d(&number, 7)) \{ - case MP_GT: printf("number > 7"); break; - case MP_EQ: printf("number = 7"); break; - case MP_LT: printf("number < 7"); break; - \} - - /* we're done with it. */ - mp_clear(&number); - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -If this program functions properly it will print out the following. - -\begin{alltt} -number < 7 -\end{alltt} - -\section{Logical Operations} - -Logical operations are operations that can be performed either with simple shifts or boolean operators such as -AND, XOR and OR directly. These operations are very quick. - -\subsection{Multiplication by two} - -Multiplications and divisions by any power of two can be performed with quick logical shifts either left or -right depending on the operation. - -When multiplying or dividing by two a special case routine can be used which are as follows. -\index{mp\_mul\_2} \index{mp\_div\_2} -\begin{alltt} -int mp_mul_2(mp_int * a, mp_int * b); -int mp_div_2(mp_int * a, mp_int * b); -\end{alltt} - -The former will assign twice $a$ to $b$ while the latter will assign half $a$ to $b$. These functions are fast -since the shift counts and maskes are hardcoded into the routines. - -\begin{small} \begin{alltt} -int main(void) -\{ - mp_int number; - int result; - - if ((result = mp_init(&number)) != MP_OKAY) \{ - printf("Error initializing the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* set the number to 5 */ - mp_set(&number, 5); - - /* multiply by two */ - if ((result = mp\_mul\_2(&number, &number)) != MP_OKAY) \{ - printf("Error multiplying the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - switch(mp_cmp_d(&number, 7)) \{ - case MP_GT: printf("2*number > 7"); break; - case MP_EQ: printf("2*number = 7"); break; - case MP_LT: printf("2*number < 7"); break; - \} - - /* now divide by two */ - if ((result = mp\_div\_2(&number, &number)) != MP_OKAY) \{ - printf("Error dividing the number. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - switch(mp_cmp_d(&number, 7)) \{ - case MP_GT: printf("2*number/2 > 7"); break; - case MP_EQ: printf("2*number/2 = 7"); break; - case MP_LT: printf("2*number/2 < 7"); break; - \} - - /* we're done with it. */ - mp_clear(&number); - - return EXIT_SUCCESS; -\} -\end{alltt} \end{small} - -If this program is successful it will print out the following text. - -\begin{alltt} -2*number > 7 -2*number/2 < 7 -\end{alltt} - -Since $10 > 7$ and $5 < 7$. To multiply by a power of two the following function can be used. - -\index{mp\_mul\_2d} -\begin{alltt} -int mp_mul_2d(mp_int * a, int b, mp_int * c); -\end{alltt} - -This will multiply $a$ by $2^b$ and store the result in ``c''. If the value of $b$ is less than or equal to -zero the function will copy $a$ to ``c'' without performing any further actions. - -To divide by a power of two use the following. - -\index{mp\_div\_2d} -\begin{alltt} -int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d); -\end{alltt} -Which will divide $a$ by $2^b$, store the quotient in ``c'' and the remainder in ``d'. If $b \le 0$ then the -function simply copies $a$ over to ``c'' and zeroes $d$. The variable $d$ may be passed as a \textbf{NULL} -value to signal that the remainder is not desired. - -\subsection{Polynomial Basis Operations} - -Strictly speaking the organization of the integers within the mp\_int structures is what is known as a -``polynomial basis''. This simply means a field element is stored by divisions of a radix. For example, if -$f(x) = \sum_{i=0}^{k} y_ix^k$ for any vector $\vec y$ then the array of digits in $\vec y$ are said to be -the polynomial basis representation of $z$ if $f(\beta) = z$ for a given radix $\beta$. - -To multiply by the polynomial $g(x) = x$ all you have todo is shift the digits of the basis left one place. The -following function provides this operation. - -\index{mp\_lshd} -\begin{alltt} -int mp_lshd (mp_int * a, int b); -\end{alltt} - -This will multiply $a$ in place by $x^b$ which is equivalent to shifting the digits left $b$ places and inserting zeroes -in the least significant digits. Similarly to divide by a power of $x$ the following function is provided. - -\index{mp\_rshd} -\begin{alltt} -void mp_rshd (mp_int * a, int b) -\end{alltt} -This will divide $a$ in place by $x^b$ and discard the remainder. This function cannot fail as it performs the operations -in place and no new digits are required to complete it. - -\subsection{AND, OR and XOR Operations} - -While AND, OR and XOR operations are not typical ``bignum functions'' they can be useful in several instances. The -three functions are prototyped as follows. - -\index{mp\_or} \index{mp\_and} \index{mp\_xor} -\begin{alltt} -int mp_or (mp_int * a, mp_int * b, mp_int * c); -int mp_and (mp_int * a, mp_int * b, mp_int * c); -int mp_xor (mp_int * a, mp_int * b, mp_int * c); -\end{alltt} - -Which compute $c = a \odot b$ where $\odot$ is one of OR, AND or XOR. - -\section{Addition and Subtraction} - -To compute an addition or subtraction the following two functions can be used. - -\index{mp\_add} \index{mp\_sub} -\begin{alltt} -int mp_add (mp_int * a, mp_int * b, mp_int * c); -int mp_sub (mp_int * a, mp_int * b, mp_int * c) -\end{alltt} - -Which perform $c = a \odot b$ where $\odot$ is one of signed addition or subtraction. The operations are fully sign -aware. - -\section{Sign Manipulation} -\subsection{Negation} -\label{sec:NEG} -Simple integer negation can be performed with the following. - -\index{mp\_neg} -\begin{alltt} -int mp_neg (mp_int * a, mp_int * b); -\end{alltt} - -Which assigns $-a$ to $b$. - -\subsection{Absolute} -Simple integer absolutes can be performed with the following. - -\index{mp\_neg} -\begin{alltt} -int mp_abs (mp_int * a, mp_int * b); -\end{alltt} - -Which assigns $\vert a \vert$ to $b$. - -\section{Integer Division and Remainder} -To perform a complete and general integer division with remainder use the following function. - -\index{mp\_div} -\begin{alltt} -int mp_div (mp_int * a, mp_int * b, mp_int * c, mp_int * d); -\end{alltt} - -This divides $a$ by $b$ and stores the quotient in $c$ and $d$. The signed quotient is computed such that -$bc + d = a$. Note that either of $c$ or $d$ can be set to \textbf{NULL} if their value is not required. If -$b$ is zero the function returns \textbf{MP\_VAL}. - - -\chapter{Multiplication and Squaring} -\section{Multiplication} -A full signed integer multiplication can be performed with the following. -\index{mp\_mul} -\begin{alltt} -int mp_mul (mp_int * a, mp_int * b, mp_int * c); -\end{alltt} -Which assigns the full signed product $ab$ to $c$. This function actually breaks into one of four cases which are -specific multiplication routines optimized for given parameters. First there are the Toom-Cook multiplications which -should only be used with very large inputs. This is followed by the Karatsuba multiplications which are for moderate -sized inputs. Then followed by the Comba and baseline multipliers. - -Fortunately for the developer you don't really need to know this unless you really want to fine tune the system. mp\_mul() -will determine on its own\footnote{Some tweaking may be required.} what routine to use automatically when it is called. - -\begin{alltt} -int main(void) -\{ - mp_int number1, number2; - int result; - - /* Initialize the numbers */ - if ((result = mp_init_multi(&number1, - &number2, NULL)) != MP_OKAY) \{ - printf("Error initializing the numbers. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* set the terms */ - if ((result = mp_set_int(&number, 257)) != MP_OKAY) \{ - printf("Error setting number1. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - if ((result = mp_set_int(&number2, 1023)) != MP_OKAY) \{ - printf("Error setting number2. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* multiply them */ - if ((result = mp_mul(&number1, &number2, - &number1)) != MP_OKAY) \{ - printf("Error multiplying terms. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* display */ - printf("number1 * number2 == \%lu", mp_get_int(&number1)); - - /* free terms and return */ - mp_clear_multi(&number1, &number2, NULL); - - return EXIT_SUCCESS; -\} -\end{alltt} - -If this program succeeds it shall output the following. - -\begin{alltt} -number1 * number2 == 262911 -\end{alltt} - -\section{Squaring} -Since squaring can be performed faster than multiplication it is performed it's own function instead of just using -mp\_mul(). - -\index{mp\_sqr} -\begin{alltt} -int mp_sqr (mp_int * a, mp_int * b); -\end{alltt} - -Will square $a$ and store it in $b$. Like the case of multiplication there are four different squaring -algorithms all which can be called from mp\_sqr(). It is ideal to use mp\_sqr over mp\_mul when squaring terms because -of the speed difference. - -\section{Tuning Polynomial Basis Routines} - -Both of the Toom-Cook and Karatsuba multiplication algorithms are faster than the traditional $O(n^2)$ approach that -the Comba and baseline algorithms use. At $O(n^{1.464973})$ and $O(n^{1.584962})$ running times respectively they require -considerably less work. For example, a 10000-digit multiplication would take roughly 724,000 single precision -multiplications with Toom-Cook or 100,000,000 single precision multiplications with the standard Comba (a factor -of 138). - -So why not always use Karatsuba or Toom-Cook? The simple answer is that they have so much overhead that they're not -actually faster than Comba until you hit distinct ``cutoff'' points. For Karatsuba with the default configuration, -GCC 3.3.1 and an Athlon XP processor the cutoff point is roughly 110 digits (about 70 for the Intel P4). That is, at -110 digits Karatsuba and Comba multiplications just about break even and for 110+ digits Karatsuba is faster. - -Toom-Cook has incredible overhead and is probably only useful for very large inputs. So far no known cutoff points -exist and for the most part I just set the cutoff points very high to make sure they're not called. - -A demo program in the ``etc/'' directory of the project called ``tune.c'' can be used to find the cutoff points. This -can be built with GCC as follows - -\begin{alltt} -make XXX -\end{alltt} -Where ``XXX'' is one of the following entries from the table \ref{fig:tuning}. - -\begin{figure}[here] -\begin{center} -\begin{small} -\begin{tabular}{|l|l|} -\hline \textbf{Value of XXX} & \textbf{Meaning} \\ -\hline tune & Builds portable tuning application \\ -\hline tune86 & Builds x86 (pentium and up) program for COFF \\ -\hline tune86c & Builds x86 program for Cygwin \\ -\hline tune86l & Builds x86 program for Linux (ELF format) \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Build Names for Tuning Programs} -\label{fig:tuning} -\end{figure} - -When the program is running it will output a series of measurements for different cutoff points. It will first find -good Karatsuba squaring and multiplication points. Then it proceeds to find Toom-Cook points. Note that the Toom-Cook -tuning takes a very long time as the cutoff points are likely to be very high. - -\chapter{Modular Reduction} - -Modular reduction is process of taking the remainder of one quantity divided by another. Expressed -as (\ref{eqn:mod}) the modular reduction is equivalent to the remainder of $b$ divided by $c$. - -\begin{equation} -a \equiv b \mbox{ (mod }c\mbox{)} -\label{eqn:mod} -\end{equation} - -Of particular interest to cryptography are reductions where $b$ is limited to the range $0 \le b < c^2$ since particularly -fast reduction algorithms can be written for the limited range. - -Note that one of the four optimized reduction algorithms are automatically chosen in the modular exponentiation -algorithm mp\_exptmod when an appropriate modulus is detected. - -\section{Straight Division} -In order to effect an arbitrary modular reduction the following algorithm is provided. - -\index{mp\_mod} -\begin{alltt} -int mp_mod(mp_int *a, mp_int *b, mp_int *c); -\end{alltt} - -This reduces $a$ modulo $b$ and stores the result in $c$. The sign of $c$ shall agree with the sign -of $b$. This algorithm accepts an input $a$ of any range and is not limited by $0 \le a < b^2$. - -\section{Barrett Reduction} - -Barrett reduction is a generic optimized reduction algorithm that requires pre--computation to achieve -a decent speedup over straight division. First a $\mu$ value must be precomputed with the following function. - -\index{mp\_reduce\_setup} -\begin{alltt} -int mp_reduce_setup(mp_int *a, mp_int *b); -\end{alltt} - -Given a modulus in $b$ this produces the required $\mu$ value in $a$. For any given modulus this only has to -be computed once. Modular reduction can now be performed with the following. - -\index{mp\_reduce} -\begin{alltt} -int mp_reduce(mp_int *a, mp_int *b, mp_int *c); -\end{alltt} - -This will reduce $a$ in place modulo $b$ with the precomputed $\mu$ value in $c$. $a$ must be in the range -$0 \le a < b^2$. - -\begin{alltt} -int main(void) -\{ - mp_int a, b, c, mu; - int result; - - /* initialize a,b to desired values, mp_init mu, - * c and set c to 1...we want to compute a^3 mod b - */ - - /* get mu value */ - if ((result = mp_reduce_setup(&mu, b)) != MP_OKAY) \{ - printf("Error getting mu. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* square a to get c = a^2 */ - if ((result = mp_sqr(&a, &c)) != MP_OKAY) \{ - printf("Error squaring. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* now reduce `c' modulo b */ - if ((result = mp_reduce(&c, &b, &mu)) != MP_OKAY) \{ - printf("Error reducing. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* multiply a to get c = a^3 */ - if ((result = mp_mul(&a, &c, &c)) != MP_OKAY) \{ - printf("Error reducing. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* now reduce `c' modulo b */ - if ((result = mp_reduce(&c, &b, &mu)) != MP_OKAY) \{ - printf("Error reducing. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* c now equals a^3 mod b */ - - return EXIT_SUCCESS; -\} -\end{alltt} - -This program will calculate $a^3 \mbox{ mod }b$ if all the functions succeed. - -\section{Montgomery Reduction} - -Montgomery is a specialized reduction algorithm for any odd moduli. Like Barrett reduction a pre--computation -step is required. This is accomplished with the following. - -\index{mp\_montgomery\_setup} -\begin{alltt} -int mp_montgomery_setup(mp_int *a, mp_digit *mp); -\end{alltt} - -For the given odd moduli $a$ the precomputation value is placed in $mp$. The reduction is computed with the -following. - -\index{mp\_montgomery\_reduce} -\begin{alltt} -int mp_montgomery_reduce(mp_int *a, mp_int *m, mp_digit mp); -\end{alltt} -This reduces $a$ in place modulo $m$ with the pre--computed value $mp$. $a$ must be in the range -$0 \le a < b^2$. - -Montgomery reduction is faster than Barrett reduction for moduli smaller than the ``comba'' limit. With the default -setup for instance, the limit is $127$ digits ($3556$--bits). Note that this function is not limited to -$127$ digits just that it falls back to a baseline algorithm after that point. - -An important observation is that this reduction does not return $a \mbox{ mod }m$ but $aR^{-1} \mbox{ mod }m$ -where $R = \beta^n$, $n$ is the n number of digits in $m$ and $\beta$ is radix used (default is $2^{28}$). - -To quickly calculate $R$ the following function was provided. - -\index{mp\_montgomery\_calc\_normalization} -\begin{alltt} -int mp_montgomery_calc_normalization(mp_int *a, mp_int *b); -\end{alltt} -Which calculates $a = R$ for the odd moduli $b$ without using multiplication or division. - -The normal modus operandi for Montgomery reductions is to normalize the integers before entering the system. For -example, to calculate $a^3 \mbox { mod }b$ using Montgomery reduction the value of $a$ can be normalized by -multiplying it by $R$. Consider the following code snippet. - -\begin{alltt} -int main(void) -\{ - mp_int a, b, c, R; - mp_digit mp; - int result; - - /* initialize a,b to desired values, - * mp_init R, c and set c to 1.... - */ - - /* get normalization */ - if ((result = mp_montgomery_calc_normalization(&R, b)) != MP_OKAY) \{ - printf("Error getting norm. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* get mp value */ - if ((result = mp_montgomery_setup(&c, &mp)) != MP_OKAY) \{ - printf("Error setting up montgomery. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* normalize `a' so now a is equal to aR */ - if ((result = mp_mulmod(&a, &R, &b, &a)) != MP_OKAY) \{ - printf("Error computing aR. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* square a to get c = a^2R^2 */ - if ((result = mp_sqr(&a, &c)) != MP_OKAY) \{ - printf("Error squaring. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* now reduce `c' back down to c = a^2R^2 * R^-1 == a^2R */ - if ((result = mp_montgomery_reduce(&c, &b, mp)) != MP_OKAY) \{ - printf("Error reducing. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* multiply a to get c = a^3R^2 */ - if ((result = mp_mul(&a, &c, &c)) != MP_OKAY) \{ - printf("Error reducing. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* now reduce `c' back down to c = a^3R^2 * R^-1 == a^3R */ - if ((result = mp_montgomery_reduce(&c, &b, mp)) != MP_OKAY) \{ - printf("Error reducing. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* now reduce (again) `c' back down to c = a^3R * R^-1 == a^3 */ - if ((result = mp_montgomery_reduce(&c, &b, mp)) != MP_OKAY) \{ - printf("Error reducing. \%s", - mp_error_to_string(result)); - return EXIT_FAILURE; - \} - - /* c now equals a^3 mod b */ - - return EXIT_SUCCESS; -\} -\end{alltt} - -This particular example does not look too efficient but it demonstrates the point of the algorithm. By -normalizing the inputs the reduced results are always of the form $aR$ for some variable $a$. This allows -a single final reduction to correct for the normalization and the fast reduction used within the algorithm. - -For more details consider examining the file \textit{bn\_mp\_exptmod\_fast.c}. - -\section{Restricted Dimminished Radix} - -``Dimminished Radix'' reduction refers to reduction with respect to moduli that are ameniable to simple -digit shifting and small multiplications. In this case the ``restricted'' variant refers to moduli of the -form $\beta^k - p$ for some $k \ge 0$ and $0 < p < \beta$ where $\beta$ is the radix (default to $2^{28}$). - -As in the case of Montgomery reduction there is a pre--computation phase required for a given modulus. - -\index{mp\_dr\_setup} -\begin{alltt} -void mp_dr_setup(mp_int *a, mp_digit *d); -\end{alltt} - -This computes the value required for the modulus $a$ and stores it in $d$. This function cannot fail -and does not return any error codes. After the pre--computation a reduction can be performed with the -following. - -\index{mp\_dr\_reduce} -\begin{alltt} -int mp_dr_reduce(mp_int *a, mp_int *b, mp_digit mp); -\end{alltt} - -This reduces $a$ in place modulo $b$ with the pre--computed value $mp$. $b$ must be of a restricted -dimminished radix form and $a$ must be in the range $0 \le a < b^2$. Dimminished radix reductions are -much faster than both Barrett and Montgomery reductions as they have a much lower asymtotic running time. - -Since the moduli are restricted this algorithm is not particularly useful for something like Rabin, RSA or -BBS cryptographic purposes. This reduction algorithm is useful for Diffie-Hellman and ECC where fixed -primes are acceptable. - -Note that unlike Montgomery reduction there is no normalization process. The result of this function is -equal to the correct residue. - -\section{Unrestricted Dimminshed Radix} - -Unrestricted reductions work much like the restricted counterparts except in this case the moduli is of the -form $2^k - p$ for $0 < p < \beta$. In this sense the unrestricted reductions are more flexible as they -can be applied to a wider range of numbers. - -\index{mp\_reduce\_2k\_setup} -\begin{alltt} -int mp_reduce_2k_setup(mp_int *a, mp_digit *d); -\end{alltt} - -This will compute the required $d$ value for the given moduli $a$. - -\index{mp\_reduce\_2k} -\begin{alltt} -int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d); -\end{alltt} - -This will reduce $a$ in place modulo $n$ with the pre--computed value $d$. From my experience this routine is -slower than mp\_dr\_reduce but faster for most moduli sizes than the Montgomery reduction. - -\chapter{Exponentiation} -\section{Single Digit Exponentiation} -\index{mp\_expt\_d} -\begin{alltt} -int mp_expt_d (mp_int * a, mp_digit b, mp_int * c) -\end{alltt} -This computes $c = a^b$ using a simple binary left-to-right algorithm. It is faster than repeated multiplications by -$a$ for all values of $b$ greater than three. - -\section{Modular Exponentiation} -\index{mp\_exptmod} -\begin{alltt} -int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) -\end{alltt} -This computes $Y \equiv G^X \mbox{ (mod }P\mbox{)}$ using a variable width sliding window algorithm. This function -will automatically detect the fastest modular reduction technique to use during the operation. For negative values of -$X$ the operation is performed as $Y \equiv (G^{-1} \mbox{ mod }P)^{\vert X \vert} \mbox{ (mod }P\mbox{)}$ provided that -$gcd(G, P) = 1$. - -This function is actually a shell around the two internal exponentiation functions. This routine will automatically -detect when Barrett, Montgomery, Restricted and Unrestricted Dimminished Radix based exponentiation can be used. Generally -moduli of the a ``restricted dimminished radix'' form lead to the fastest modular exponentiations. Followed by Montgomery -and the other two algorithms. - -\section{Root Finding} -\index{mp\_n\_root} -\begin{alltt} -int mp_n_root (mp_int * a, mp_digit b, mp_int * c) -\end{alltt} -This computes $c = a^{1/b}$ such that $c^b \le a$ and $(c+1)^b > a$. The implementation of this function is not -ideal for values of $b$ greater than three. It will work but become very slow. So unless you are working with very small -numbers (less than 1000 bits) I'd avoid $b > 3$ situations. Will return a positive root only for even roots and return -a root with the sign of the input for odd roots. For example, performing $4^{1/2}$ will return $2$ whereas $(-8)^{1/3}$ -will return $-2$. - -This algorithm uses the ``Newton Approximation'' method and will converge on the correct root fairly quickly. Since -the algorithm requires raising $a$ to the power of $b$ it is not ideal to attempt to find roots for large -values of $b$. If particularly large roots are required then a factor method could be used instead. For example, -$a^{1/16}$ is equivalent to $\left (a^{1/4} \right)^{1/4}$ or simply -$\left ( \left ( \left ( a^{1/2} \right )^{1/2} \right )^{1/2} \right )^{1/2}$ - -\chapter{Prime Numbers} -\section{Trial Division} -\index{mp\_prime\_is\_divisible} -\begin{alltt} -int mp_prime_is_divisible (mp_int * a, int *result) -\end{alltt} -This will attempt to evenly divide $a$ by a list of primes\footnote{Default is the first 256 primes.} and store the -outcome in ``result''. That is if $result = 0$ then $a$ is not divisible by the primes, otherwise it is. Note that -if the function does not return \textbf{MP\_OKAY} the value in ``result'' should be considered undefined\footnote{Currently -the default is to set it to zero first.}. - -\section{Fermat Test} -\index{mp\_prime\_fermat} -\begin{alltt} -int mp_prime_fermat (mp_int * a, mp_int * b, int *result) -\end{alltt} -Performs a Fermat primality test to the base $b$. That is it computes $b^a \mbox{ mod }a$ and tests whether the value is -equal to $b$ or not. If the values are equal then $a$ is probably prime and $result$ is set to one. Otherwise $result$ -is set to zero. - -\section{Miller-Rabin Test} -\index{mp\_prime\_miller\_rabin} -\begin{alltt} -int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result) -\end{alltt} -Performs a Miller-Rabin test to the base $b$ of $a$. This test is much stronger than the Fermat test and is very hard to -fool (besides with Carmichael numbers). If $a$ passes the test (therefore is probably prime) $result$ is set to one. -Otherwise $result$ is set to zero. - -Note that is suggested that you use the Miller-Rabin test instead of the Fermat test since all of the failures of -Miller-Rabin are a subset of the failures of the Fermat test. - -\subsection{Required Number of Tests} -Generally to ensure a number is very likely to be prime you have to perform the Miller-Rabin with at least a half-dozen -or so unique bases. However, it has been proven that the probability of failure goes down as the size of the input goes up. -This is why a simple function has been provided to help out. - -\index{mp\_prime\_rabin\_miller\_trials} -\begin{alltt} -int mp_prime_rabin_miller_trials(int size) -\end{alltt} -This returns the number of trials required for a $2^{-96}$ (or lower) probability of failure for a given ``size'' expressed -in bits. This comes in handy specially since larger numbers are slower to test. For example, a 512-bit number would -require ten tests whereas a 1024-bit number would only require four tests. - -You should always still perform a trial division before a Miller-Rabin test though. - -\section{Primality Testing} -\index{mp\_prime\_is\_prime} -\begin{alltt} -int mp_prime_is_prime (mp_int * a, int t, int *result) -\end{alltt} -This will perform a trial division followed by $t$ rounds of Miller-Rabin tests on $a$ and store the result in $result$. -If $a$ passes all of the tests $result$ is set to one, otherwise it is set to zero. Note that $t$ is bounded by -$1 \le t < PRIME\_SIZE$ where $PRIME\_SIZE$ is the number of primes in the prime number table (by default this is $256$). - -\section{Next Prime} -\index{mp\_prime\_next\_prime} -\begin{alltt} -int mp_prime_next_prime(mp_int *a, int t, int bbs_style) -\end{alltt} -This finds the next prime after $a$ that passes mp\_prime\_is\_prime() with $t$ tests. Set $bbs\_style$ to one if you -want only the next prime congruent to $3 \mbox{ mod } 4$, otherwise set it to zero to find any next prime. - -\section{Random Primes} -\index{mp\_prime\_random} -\begin{alltt} -int mp_prime_random(mp_int *a, int t, int size, int bbs, - ltm_prime_callback cb, void *dat) -\end{alltt} -This will find a prime greater than $256^{size}$ which can be ``bbs\_style'' or not depending on $bbs$ and must pass -$t$ rounds of tests. The ``ltm\_prime\_callback'' is a typedef for - -\begin{alltt} -typedef int ltm_prime_callback(unsigned char *dst, int len, void *dat); -\end{alltt} - -Which is a function that must read $len$ bytes (and return the amount stored) into $dst$. The $dat$ variable is simply -copied from the original input. It can be used to pass RNG context data to the callback. The function -mp\_prime\_random() is more suitable for generating primes which must be secret (as in the case of RSA) since there -is no skew on the least significant bits. - -\textit{Note:} As of v0.30 of the LibTomMath library this function has been deprecated. It is still available -but users are encouraged to use the new mp\_prime\_random\_ex() function instead. - -\subsection{Extended Generation} -\index{mp\_prime\_random\_ex} -\begin{alltt} -int mp_prime_random_ex(mp_int *a, int t, - int size, int flags, - ltm_prime_callback cb, void *dat); -\end{alltt} -This will generate a prime in $a$ using $t$ tests of the primality testing algorithms. The variable $size$ -specifies the bit length of the prime desired. The variable $flags$ specifies one of several options available -(see fig. \ref{fig:primeopts}) which can be OR'ed together. The callback parameters are used as in -mp\_prime\_random(). - -\begin{figure}[here] -\begin{center} -\begin{small} -\begin{tabular}{|r|l|} -\hline \textbf{Flag} & \textbf{Meaning} \\ -\hline LTM\_PRIME\_BBS & Make the prime congruent to $3$ modulo $4$ \\ -\hline LTM\_PRIME\_SAFE & Make a prime $p$ such that $(p - 1)/2$ is also prime. \\ - & This option implies LTM\_PRIME\_BBS as well. \\ -\hline LTM\_PRIME\_2MSB\_OFF & Makes sure that the bit adjacent to the most significant bit \\ - & Is forced to zero. \\ -\hline LTM\_PRIME\_2MSB\_ON & Makes sure that the bit adjacent to the most significant bit \\ - & Is forced to one. \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Primality Generation Options} -\label{fig:primeopts} -\end{figure} - -\chapter{Input and Output} -\section{ASCII Conversions} -\subsection{To ASCII} -\index{mp\_toradix} -\begin{alltt} -int mp_toradix (mp_int * a, char *str, int radix); -\end{alltt} -This still store $a$ in ``str'' as a base-``radix'' string of ASCII chars. This function appends a NUL character -to terminate the string. Valid values of ``radix'' line in the range $[2, 64]$. To determine the size (exact) required -by the conversion before storing any data use the following function. - -\index{mp\_radix\_size} -\begin{alltt} -int mp_radix_size (mp_int * a, int radix, int *size) -\end{alltt} -This stores in ``size'' the number of characters (including space for the NUL terminator) required. Upon error this -function returns an error code and ``size'' will be zero. - -\subsection{From ASCII} -\index{mp\_read\_radix} -\begin{alltt} -int mp_read_radix (mp_int * a, char *str, int radix); -\end{alltt} -This will read the base-``radix'' NUL terminated string from ``str'' into $a$. It will stop reading when it reads a -character it does not recognize (which happens to include th NUL char... imagine that...). A single leading $-$ sign -can be used to denote a negative number. - -\section{Binary Conversions} - -Converting an mp\_int to and from binary is another keen idea. - -\index{mp\_unsigned\_bin\_size} -\begin{alltt} -int mp_unsigned_bin_size(mp_int *a); -\end{alltt} - -This will return the number of bytes (octets) required to store the unsigned copy of the integer $a$. - -\index{mp\_to\_unsigned\_bin} -\begin{alltt} -int mp_to_unsigned_bin(mp_int *a, unsigned char *b); -\end{alltt} -This will store $a$ into the buffer $b$ in big--endian format. Fortunately this is exactly what DER (or is it ASN?) -requires. It does not store the sign of the integer. - -\index{mp\_read\_unsigned\_bin} -\begin{alltt} -int mp_read_unsigned_bin(mp_int *a, unsigned char *b, int c); -\end{alltt} -This will read in an unsigned big--endian array of bytes (octets) from $b$ of length $c$ into $a$. The resulting -integer $a$ will always be positive. - -For those who acknowledge the existence of negative numbers (heretic!) there are ``signed'' versions of the -previous functions. - -\begin{alltt} -int mp_signed_bin_size(mp_int *a); -int mp_read_signed_bin(mp_int *a, unsigned char *b, int c); -int mp_to_signed_bin(mp_int *a, unsigned char *b); -\end{alltt} -They operate essentially the same as the unsigned copies except they prefix the data with zero or non--zero -byte depending on the sign. If the sign is zpos (e.g. not negative) the prefix is zero, otherwise the prefix -is non--zero. - -\chapter{Algebraic Functions} -\section{Extended Euclidean Algorithm} -\index{mp\_exteuclid} -\begin{alltt} -int mp_exteuclid(mp_int *a, mp_int *b, - mp_int *U1, mp_int *U2, mp_int *U3); -\end{alltt} - -This finds the triple U1/U2/U3 using the Extended Euclidean algorithm such that the following equation holds. - -\begin{equation} -a \cdot U1 + b \cdot U2 = U3 -\end{equation} - -Any of the U1/U2/U3 paramters can be set to \textbf{NULL} if they are not desired. - -\section{Greatest Common Divisor} -\index{mp\_gcd} -\begin{alltt} -int mp_gcd (mp_int * a, mp_int * b, mp_int * c) -\end{alltt} -This will compute the greatest common divisor of $a$ and $b$ and store it in $c$. - -\section{Least Common Multiple} -\index{mp\_lcm} -\begin{alltt} -int mp_lcm (mp_int * a, mp_int * b, mp_int * c) -\end{alltt} -This will compute the least common multiple of $a$ and $b$ and store it in $c$. - -\section{Jacobi Symbol} -\index{mp\_jacobi} -\begin{alltt} -int mp_jacobi (mp_int * a, mp_int * p, int *c) -\end{alltt} -This will compute the Jacobi symbol for $a$ with respect to $p$. If $p$ is prime this essentially computes the Legendre -symbol. The result is stored in $c$ and can take on one of three values $\lbrace -1, 0, 1 \rbrace$. If $p$ is prime -then the result will be $-1$ when $a$ is not a quadratic residue modulo $p$. The result will be $0$ if $a$ divides $p$ -and the result will be $1$ if $a$ is a quadratic residue modulo $p$. - -\section{Modular Inverse} -\index{mp\_invmod} -\begin{alltt} -int mp_invmod (mp_int * a, mp_int * b, mp_int * c) -\end{alltt} -Computes the multiplicative inverse of $a$ modulo $b$ and stores the result in $c$ such that $ac \equiv 1 \mbox{ (mod }b\mbox{)}$. - -\section{Single Digit Functions} - -For those using small numbers (\textit{snicker snicker}) there are several ``helper'' functions - -\index{mp\_add\_d} \index{mp\_sub\_d} \index{mp\_mul\_d} \index{mp\_div\_d} \index{mp\_mod\_d} -\begin{alltt} -int mp_add_d(mp_int *a, mp_digit b, mp_int *c); -int mp_sub_d(mp_int *a, mp_digit b, mp_int *c); -int mp_mul_d(mp_int *a, mp_digit b, mp_int *c); -int mp_div_d(mp_int *a, mp_digit b, mp_int *c, mp_digit *d); -int mp_mod_d(mp_int *a, mp_digit b, mp_digit *c); -\end{alltt} - -These work like the full mp\_int capable variants except the second parameter $b$ is a mp\_digit. These -functions fairly handy if you have to work with relatively small numbers since you will not have to allocate -an entire mp\_int to store a number like $1$ or $2$. - -\input{bn.ind} - -\end{document} diff --git a/libtommath/booker.pl b/libtommath/booker.pl deleted file mode 100644 index df8b30d..0000000 --- a/libtommath/booker.pl +++ /dev/null @@ -1,265 +0,0 @@ -#!/bin/perl -# -#Used to prepare the book "tommath.src" for LaTeX by pre-processing it into a .tex file -# -#Essentially you write the "tommath.src" as normal LaTex except where you want code snippets you put -# -#EXAM,file -# -#This preprocessor will then open "file" and insert it as a verbatim copy. -# -#Tom St Denis - -#get graphics type -if (shift =~ /PDF/) { - $graph = ""; -} else { - $graph = ".ps"; -} - -open(IN,"tommath.tex") or die "Can't open destination file"; - -print "Scanning for sections\n"; -$chapter = $section = $subsection = 0; -$x = 0; -while () { - print "."; - if (!(++$x % 80)) { print "\n"; } - #update the headings - if (~($_ =~ /\*/)) { - if ($_ =~ /\\chapter{.+}/) { - ++$chapter; - $section = $subsection = 0; - } elsif ($_ =~ /\\section{.+}/) { - ++$section; - $subsection = 0; - } elsif ($_ =~ /\\subsection{.+}/) { - ++$subsection; - } - } - - if ($_ =~ m/MARK/) { - @m = split(",",$_); - chomp(@m[1]); - $index1{@m[1]} = $chapter; - $index2{@m[1]} = $section; - $index3{@m[1]} = $subsection; - } -} -close(IN); - -open(IN,") { - ++$readline; - ++$srcline; - - if ($_ =~ m/MARK/) { - } elsif ($_ =~ m/EXAM/ || $_ =~ m/LIST/) { - if ($_ =~ m/EXAM/) { - $skipheader = 1; - } else { - $skipheader = 0; - } - - # EXAM,file - chomp($_); - @m = split(",",$_); - open(SRC,"<$m[1]") or die "Error:$srcline:Can't open source file $m[1]"; - - print "$srcline:Inserting $m[1]:"; - - $line = 0; - $tmp = $m[1]; - $tmp =~ s/_/"\\_"/ge; - print OUT "\\vspace{+3mm}\\begin{small}\n\\hspace{-5.1mm}{\\bf File}: $tmp\n\\vspace{-3mm}\n\\begin{alltt}\n"; - $wroteline += 5; - - if ($skipheader == 1) { - # scan till next end of comment, e.g. skip license - while () { - $text[$line++] = $_; - last if ($_ =~ /math\.libtomcrypt\.org/); - } - ; - } - - $inline = 0; - while () { - next if ($_ =~ /\$Source/); - next if ($_ =~ /\$Revision/); - next if ($_ =~ /\$Date/); - $text[$line++] = $_; - ++$inline; - chomp($_); - $_ =~ s/\t/" "/ge; - $_ =~ s/{/"^{"/ge; - $_ =~ s/}/"^}"/ge; - $_ =~ s/\\/'\symbol{92}'/ge; - $_ =~ s/\^/"\\"/ge; - - printf OUT ("%03d ", $line); - for ($x = 0; $x < length($_); $x++) { - print OUT chr(vec($_, $x, 8)); - if ($x == 75) { - print OUT "\n "; - ++$wroteline; - } - } - print OUT "\n"; - ++$wroteline; - } - $totlines = $line; - print OUT "\\end{alltt}\n\\end{small}\n"; - close(SRC); - print "$inline lines\n"; - $wroteline += 2; - } elsif ($_ =~ m/@\d+,.+@/) { - # line contains [number,text] - # e.g. @14,for (ix = 0)@ - $txt = $_; - while ($txt =~ m/@\d+,.+@/) { - @m = split("@",$txt); # splits into text, one, two - @parms = split(",",$m[1]); # splits one,two into two elements - - # now search from $parms[0] down for $parms[1] - $found1 = 0; - $found2 = 0; - for ($i = $parms[0]; $i < $totlines && $found1 == 0; $i++) { - if ($text[$i] =~ m/\Q$parms[1]\E/) { - $foundline1 = $i + 1; - $found1 = 1; - } - } - - # now search backwards - for ($i = $parms[0] - 1; $i >= 0 && $found2 == 0; $i--) { - if ($text[$i] =~ m/\Q$parms[1]\E/) { - $foundline2 = $i + 1; - $found2 = 1; - } - } - - # now use the closest match or the first if tied - if ($found1 == 1 && $found2 == 0) { - $found = 1; - $foundline = $foundline1; - } elsif ($found1 == 0 && $found2 == 1) { - $found = 1; - $foundline = $foundline2; - } elsif ($found1 == 1 && $found2 == 1) { - $found = 1; - if (($foundline1 - $parms[0]) <= ($parms[0] - $foundline2)) { - $foundline = $foundline1; - } else { - $foundline = $foundline2; - } - } else { - $found = 0; - } - - # if found replace - if ($found == 1) { - $delta = $parms[0] - $foundline; - print "Found replacement tag for \"$parms[1]\" on line $srcline which refers to line $foundline (delta $delta)\n"; - $_ =~ s/@\Q$m[1]\E@/$foundline/; - } else { - print "ERROR: The tag \"$parms[1]\" on line $srcline was not found in the most recently parsed source!\n"; - } - - # remake the rest of the line - $cnt = @m; - $txt = ""; - for ($i = 2; $i < $cnt; $i++) { - $txt = $txt . $m[$i] . "@"; - } - } - print OUT $_; - ++$wroteline; - } elsif ($_ =~ /~.+~/) { - # line contains a ~text~ pair used to refer to indexing :-) - $txt = $_; - while ($txt =~ /~.+~/) { - @m = split("~", $txt); - - # word is the second position - $word = @m[1]; - $a = $index1{$word}; - $b = $index2{$word}; - $c = $index3{$word}; - - # if chapter (a) is zero it wasn't found - if ($a == 0) { - print "ERROR: the tag \"$word\" on line $srcline was not found previously marked.\n"; - } else { - # format the tag as x, x.y or x.y.z depending on the values - $str = $a; - $str = $str . ".$b" if ($b != 0); - $str = $str . ".$c" if ($c != 0); - - if ($b == 0 && $c == 0) { - # its a chapter - if ($a <= 10) { - if ($a == 1) { - $str = "chapter one"; - } elsif ($a == 2) { - $str = "chapter two"; - } elsif ($a == 3) { - $str = "chapter three"; - } elsif ($a == 4) { - $str = "chapter four"; - } elsif ($a == 5) { - $str = "chapter five"; - } elsif ($a == 6) { - $str = "chapter six"; - } elsif ($a == 7) { - $str = "chapter seven"; - } elsif ($a == 8) { - $str = "chapter eight"; - } elsif ($a == 9) { - $str = "chapter nine"; - } elsif ($a == 10) { - $str = "chapter ten"; - } - } else { - $str = "chapter " . $str; - } - } else { - $str = "section " . $str if ($b != 0 && $c == 0); - $str = "sub-section " . $str if ($b != 0 && $c != 0); - } - - #substitute - $_ =~ s/~\Q$word\E~/$str/; - - print "Found replacement tag for marker \"$word\" on line $srcline which refers to $str\n"; - } - - # remake rest of the line - $cnt = @m; - $txt = ""; - for ($i = 2; $i < $cnt; $i++) { - $txt = $txt . $m[$i] . "~"; - } - } - print OUT $_; - ++$wroteline; - } elsif ($_ =~ m/FIGU/) { - # FIGU,file,caption - chomp($_); - @m = split(",", $_); - print OUT "\\begin{center}\n\\begin{figure}[here]\n\\includegraphics{pics/$m[1]$graph}\n"; - print OUT "\\caption{$m[2]}\n\\label{pic:$m[1]}\n\\end{figure}\n\\end{center}\n"; - $wroteline += 4; - } else { - print OUT $_; - ++$wroteline; - } -} -print "Read $readline lines, wrote $wroteline lines\n"; - -close (OUT); -close (IN); diff --git a/libtommath/dep.pl b/libtommath/dep.pl deleted file mode 100644 index c39e27e..0000000 --- a/libtommath/dep.pl +++ /dev/null @@ -1,123 +0,0 @@ -#!/usr/bin/perl -# -# Walk through source, add labels and make classes -# -#use strict; - -my %deplist; - -#open class file and write preamble -open(CLASS, ">tommath_class.h") or die "Couldn't open tommath_class.h for writing\n"; -print CLASS "#if !(defined(LTM1) && defined(LTM2) && defined(LTM3))\n#if defined(LTM2)\n#define LTM3\n#endif\n#if defined(LTM1)\n#define LTM2\n#endif\n#define LTM1\n\n#if defined(LTM_ALL)\n"; - -foreach my $filename (glob "bn*.c") { - my $define = $filename; - -print "Processing $filename\n"; - - # convert filename to upper case so we can use it as a define - $define =~ tr/[a-z]/[A-Z]/; - $define =~ tr/\./_/; - print CLASS "#define $define\n"; - - # now copy text and apply #ifdef as required - my $apply = 0; - open(SRC, "<$filename"); - open(OUT, ">tmp"); - - # first line will be the #ifdef - my $line = ; - if ($line =~ /include/) { - print OUT $line; - } else { - print OUT "#include \n#ifdef $define\n$line"; - $apply = 1; - } - while () { - if (!($_ =~ /tommath\.h/)) { - print OUT $_; - } - } - if ($apply == 1) { - print OUT "#endif\n"; - } - close SRC; - close OUT; - - unlink($filename); - rename("tmp", $filename); -} -print CLASS "#endif\n\n"; - -# now do classes - -foreach my $filename (glob "bn*.c") { - open(SRC, "<$filename") or die "Can't open source file!\n"; - - # convert filename to upper case so we can use it as a define - $filename =~ tr/[a-z]/[A-Z]/; - $filename =~ tr/\./_/; - - print CLASS "#if defined($filename)\n"; - my $list = $filename; - - # scan for mp_* and make classes - while () { - my $line = $_; - while ($line =~ m/(fast_)*(s_)*mp\_[a-z_0-9]*/) { - $line = $'; - # now $& is the match, we want to skip over LTM keywords like - # mp_int, mp_word, mp_digit - if (!($& eq "mp_digit") && !($& eq "mp_word") && !($& eq "mp_int")) { - my $a = $&; - $a =~ tr/[a-z]/[A-Z]/; - $a = "BN_" . $a . "_C"; - if (!($list =~ /$a/)) { - print CLASS " #define $a\n"; - } - $list = $list . "," . $a; - } - } - } - @deplist{$filename} = $list; - - print CLASS "#endif\n\n"; - close SRC; -} - -print CLASS "#ifdef LTM3\n#define LTM_LAST\n#endif\n#include \n#include \n#else\n#define LTM_LAST\n#endif\n"; -close CLASS; - -#now let's make a cool call graph... - -open(OUT,">callgraph.txt"); -$indent = 0; -foreach (keys %deplist) { - $list = ""; - draw_func(@deplist{$_}); - print OUT "\n\n"; -} -close(OUT); - -sub draw_func() -{ - my @funcs = split(",", $_[0]); - if ($list =~ /@funcs[0]/) { - return; - } else { - $list = $list . @funcs[0]; - } - if ($indent == 0) { } - elsif ($indent >= 1) { print OUT "| " x ($indent - 1) . "+--->"; } - print OUT @funcs[0] . "\n"; - shift @funcs; - my $temp = $list; - foreach my $i (@funcs) { - ++$indent; - draw_func(@deplist{$i}); - --$indent; - } - $list = $temp; -} - - diff --git a/libtommath/gen.pl b/libtommath/gen.pl deleted file mode 100644 index 7236591..0000000 --- a/libtommath/gen.pl +++ /dev/null @@ -1,17 +0,0 @@ -#!/usr/bin/perl -w -# -# Generates a "single file" you can use to quickly -# add the whole source without any makefile troubles -# -use strict; - -open( OUT, ">mpi.c" ) or die "Couldn't open mpi.c for writing: $!"; -foreach my $filename (glob "bn*.c") { - open( SRC, "<$filename" ) or die "Couldn't open $filename for reading: $!"; - print OUT "/* Start: $filename */\n"; - print OUT while ; - print OUT "\n/* End: $filename */\n\n"; - close SRC or die "Error closing $filename after reading: $!"; -} -print OUT "\n/* EOF */\n"; -close OUT or die "Error closing mpi.c after writing: $!"; \ No newline at end of file diff --git a/libtommath/mess.sh b/libtommath/mess.sh deleted file mode 100644 index bf639ce..0000000 --- a/libtommath/mess.sh +++ /dev/null @@ -1,4 +0,0 @@ -#!/bin/bash -if cvs log $1 >/dev/null 2>/dev/null; then exit 0; else echo "$1 shouldn't be here" ; exit 1; fi - - diff --git a/libtommath/poster.tex b/libtommath/poster.tex deleted file mode 100644 index e7388f4..0000000 --- a/libtommath/poster.tex +++ /dev/null @@ -1,35 +0,0 @@ -\documentclass[landscape,11pt]{article} -\usepackage{amsmath, amssymb} -\usepackage{hyperref} -\begin{document} -\hspace*{-3in} -\begin{tabular}{llllll} -$c = a + b$ & {\tt mp\_add(\&a, \&b, \&c)} & $b = 2a$ & {\tt mp\_mul\_2(\&a, \&b)} & \\ -$c = a - b$ & {\tt mp\_sub(\&a, \&b, \&c)} & $b = a/2$ & {\tt mp\_div\_2(\&a, \&b)} & \\ -$c = ab $ & {\tt mp\_mul(\&a, \&b, \&c)} & $c = 2^ba$ & {\tt mp\_mul\_2d(\&a, b, \&c)} \\ -$b = a^2 $ & {\tt mp\_sqr(\&a, \&b)} & $c = a/2^b, d = a \mod 2^b$ & {\tt mp\_div\_2d(\&a, b, \&c, \&d)} \\ -$c = \lfloor a/b \rfloor, d = a \mod b$ & {\tt mp\_div(\&a, \&b, \&c, \&d)} & $c = a \mod 2^b $ & {\tt mp\_mod\_2d(\&a, b, \&c)} \\ - && \\ -$a = b $ & {\tt mp\_set\_int(\&a, b)} & $c = a \vee b$ & {\tt mp\_or(\&a, \&b, \&c)} \\ -$b = a $ & {\tt mp\_copy(\&a, \&b)} & $c = a \wedge b$ & {\tt mp\_and(\&a, \&b, \&c)} \\ - && $c = a \oplus b$ & {\tt mp\_xor(\&a, \&b, \&c)} \\ - & \\ -$b = -a $ & {\tt mp\_neg(\&a, \&b)} & $d = a + b \mod c$ & {\tt mp\_addmod(\&a, \&b, \&c, \&d)} \\ -$b = |a| $ & {\tt mp\_abs(\&a, \&b)} & $d = a - b \mod c$ & {\tt mp\_submod(\&a, \&b, \&c, \&d)} \\ - && $d = ab \mod c$ & {\tt mp\_mulmod(\&a, \&b, \&c, \&d)} \\ -Compare $a$ and $b$ & {\tt mp\_cmp(\&a, \&b)} & $c = a^2 \mod b$ & {\tt mp\_sqrmod(\&a, \&b, \&c)} \\ -Is Zero? & {\tt mp\_iszero(\&a)} & $c = a^{-1} \mod b$ & {\tt mp\_invmod(\&a, \&b, \&c)} \\ -Is Even? & {\tt mp\_iseven(\&a)} & $d = a^b \mod c$ & {\tt mp\_exptmod(\&a, \&b, \&c, \&d)} \\ -Is Odd ? & {\tt mp\_isodd(\&a)} \\ -&\\ -$\vert \vert a \vert \vert$ & {\tt mp\_unsigned\_bin\_size(\&a)} & $res$ = 1 if $a$ prime to $t$ rounds? & {\tt mp\_prime\_is\_prime(\&a, t, \&res)} \\ -$buf \leftarrow a$ & {\tt mp\_to\_unsigned\_bin(\&a, buf)} & Next prime after $a$ to $t$ rounds. & {\tt mp\_prime\_next\_prime(\&a, t, bbs\_style)} \\ -$a \leftarrow buf[0..len-1]$ & {\tt mp\_read\_unsigned\_bin(\&a, buf, len)} \\ -&\\ -$b = \sqrt{a}$ & {\tt mp\_sqrt(\&a, \&b)} & $c = \mbox{gcd}(a, b)$ & {\tt mp\_gcd(\&a, \&b, \&c)} \\ -$c = a^{1/b}$ & {\tt mp\_n\_root(\&a, b, \&c)} & $c = \mbox{lcm}(a, b)$ & {\tt mp\_lcm(\&a, \&b, \&c)} \\ -&\\ -Greater Than & MP\_GT & Equal To & MP\_EQ \\ -Less Than & MP\_LT & Bits per digit & DIGIT\_BIT \\ -\end{tabular} -\end{document} diff --git a/libtommath/pretty.build b/libtommath/pretty.build deleted file mode 100644 index a708b8a..0000000 --- a/libtommath/pretty.build +++ /dev/null @@ -1,66 +0,0 @@ -#!/bin/perl -w -# -# Cute little builder for perl -# Total waste of development time... -# -# This will build all the object files and then the archive .a file -# requires GCC, GNU make and a sense of humour. -# -# Tom St Denis -use strict; - -my $count = 0; -my $starttime = time; -my $rate = 0; -print "Scanning for source files...\n"; -foreach my $filename (glob "*.c") { - ++$count; -} -print "Source files to build: $count\nBuilding...\n"; -my $i = 0; -my $lines = 0; -my $filesbuilt = 0; -foreach my $filename (glob "*.c") { - printf("Building %3.2f%%, ", (++$i/$count)*100.0); - if ($i % 4 == 0) { print "/, "; } - if ($i % 4 == 1) { print "-, "; } - if ($i % 4 == 2) { print "\\, "; } - if ($i % 4 == 3) { print "|, "; } - if ($rate > 0) { - my $tleft = ($count - $i) / $rate; - my $tsec = $tleft%60; - my $tmin = ($tleft/60)%60; - my $thour = ($tleft/3600)%60; - printf("%2d:%02d:%02d left, ", $thour, $tmin, $tsec); - } - my $cnt = ($i/$count)*30.0; - my $x = 0; - print "["; - for (; $x < $cnt; $x++) { print "#"; } - for (; $x < 30; $x++) { print " "; } - print "]\r"; - my $tmp = $filename; - $tmp =~ s/\.c/".o"/ge; - if (open(SRC, "<$tmp")) { - close SRC; - } else { - !system("make $tmp > /dev/null 2>/dev/null") or die "\nERROR: Failed to make $tmp!!!\n"; - open( SRC, "<$filename" ) or die "Couldn't open $filename for reading: $!"; - ++$lines while (); - close SRC or die "Error closing $filename after reading: $!"; - ++$filesbuilt; - } - - # update timer - if (time != $starttime) { - my $delay = time - $starttime; - $rate = $i/$delay; - } -} - -# finish building the library -printf("\nFinished building source (%d seconds, %3.2f files per second).\n", time - $starttime, $rate); -print "Compiled approximately $filesbuilt files and $lines lines of code.\n"; -print "Doing final make (building archive...)\n"; -!system("make > /dev/null 2>/dev/null") or die "\nERROR: Failed to perform last make command!!!\n"; -print "done.\n"; \ No newline at end of file diff --git a/libtommath/tommath.h b/libtommath/tommath.h index 4b3a76f..cb3435f 100644 --- a/libtommath/tommath.h +++ b/libtommath/tommath.h @@ -276,7 +276,7 @@ int mp_mod_2d(const mp_int *a, int b, mp_int *c); int mp_2expt(mp_int *a, int b); /* Counts the number of lsbs which are zero before the first zero bit */ -int mp_cnt_lsb(mp_int *a); +int mp_cnt_lsb(const mp_int *a); /* I Love Earth! */ diff --git a/libtommath/tommath.src b/libtommath/tommath.src deleted file mode 100644 index 4065822..0000000 --- a/libtommath/tommath.src +++ /dev/null @@ -1,6350 +0,0 @@ -\documentclass[b5paper]{book} -\usepackage{hyperref} -\usepackage{makeidx} -\usepackage{amssymb} -\usepackage{color} -\usepackage{alltt} -\usepackage{graphicx} -\usepackage{layout} -\def\union{\cup} -\def\intersect{\cap} -\def\getsrandom{\stackrel{\rm R}{\gets}} -\def\cross{\times} -\def\cat{\hspace{0.5em} \| \hspace{0.5em}} -\def\catn{$\|$} -\def\divides{\hspace{0.3em} | \hspace{0.3em}} -\def\nequiv{\not\equiv} -\def\approx{\raisebox{0.2ex}{\mbox{\small $\sim$}}} -\def\lcm{{\rm lcm}} -\def\gcd{{\rm gcd}} -\def\log{{\rm log}} -\def\ord{{\rm ord}} -\def\abs{{\mathit abs}} -\def\rep{{\mathit rep}} -\def\mod{{\mathit\ mod\ }} -\renewcommand{\pmod}[1]{\ ({\rm mod\ }{#1})} -\newcommand{\floor}[1]{\left\lfloor{#1}\right\rfloor} -\newcommand{\ceil}[1]{\left\lceil{#1}\right\rceil} -\def\Or{{\rm\ or\ }} -\def\And{{\rm\ and\ }} -\def\iff{\hspace{1em}\Longleftrightarrow\hspace{1em}} -\def\implies{\Rightarrow} -\def\undefined{{\rm ``undefined"}} -\def\Proof{\vspace{1ex}\noindent {\bf Proof:}\hspace{1em}} -\let\oldphi\phi -\def\phi{\varphi} -\def\Pr{{\rm Pr}} -\newcommand{\str}[1]{{\mathbf{#1}}} -\def\F{{\mathbb F}} -\def\N{{\mathbb N}} -\def\Z{{\mathbb Z}} -\def\R{{\mathbb R}} -\def\C{{\mathbb C}} -\def\Q{{\mathbb Q}} -\definecolor{DGray}{gray}{0.5} -\newcommand{\emailaddr}[1]{\mbox{$<${#1}$>$}} -\def\twiddle{\raisebox{0.3ex}{\mbox{\tiny $\sim$}}} -\def\gap{\vspace{0.5ex}} -\makeindex -\begin{document} -\frontmatter -\pagestyle{empty} -\title{Multi--Precision Math} -\author{\mbox{ -%\begin{small} -\begin{tabular}{c} -Tom St Denis \\ -Algonquin College \\ -\\ -Mads Rasmussen \\ -Open Communications Security \\ -\\ -Greg Rose \\ -QUALCOMM Australia \\ -\end{tabular} -%\end{small} -} -} -\maketitle -This text has been placed in the public domain. This text corresponds to the v0.39 release of the -LibTomMath project. - -\begin{alltt} -Tom St Denis -111 Banning Rd -Ottawa, Ontario -K2L 1C3 -Canada - -Phone: 1-613-836-3160 -Email: tomstdenis@gmail.com -\end{alltt} - -This text is formatted to the international B5 paper size of 176mm wide by 250mm tall using the \LaTeX{} -{\em book} macro package and the Perl {\em booker} package. - -\tableofcontents -\listoffigures -\chapter*{Prefaces} -When I tell people about my LibTom projects and that I release them as public domain they are often puzzled. -They ask why I did it and especially why I continue to work on them for free. The best I can explain it is ``Because I can.'' -Which seems odd and perhaps too terse for adult conversation. I often qualify it with ``I am able, I am willing.'' which -perhaps explains it better. I am the first to admit there is not anything that special with what I have done. Perhaps -others can see that too and then we would have a society to be proud of. My LibTom projects are what I am doing to give -back to society in the form of tools and knowledge that can help others in their endeavours. - -I started writing this book because it was the most logical task to further my goal of open academia. The LibTomMath source -code itself was written to be easy to follow and learn from. There are times, however, where pure C source code does not -explain the algorithms properly. Hence this book. The book literally starts with the foundation of the library and works -itself outwards to the more complicated algorithms. The use of both pseudo--code and verbatim source code provides a duality -of ``theory'' and ``practice'' that the computer science students of the world shall appreciate. I never deviate too far -from relatively straightforward algebra and I hope that this book can be a valuable learning asset. - -This book and indeed much of the LibTom projects would not exist in their current form if it was not for a plethora -of kind people donating their time, resources and kind words to help support my work. Writing a text of significant -length (along with the source code) is a tiresome and lengthy process. Currently the LibTom project is four years old, -comprises of literally thousands of users and over 100,000 lines of source code, TeX and other material. People like Mads and Greg -were there at the beginning to encourage me to work well. It is amazing how timely validation from others can boost morale to -continue the project. Definitely my parents were there for me by providing room and board during the many months of work in 2003. - -To my many friends whom I have met through the years I thank you for the good times and the words of encouragement. I hope I -honour your kind gestures with this project. - -Open Source. Open Academia. Open Minds. - -\begin{flushright} Tom St Denis \end{flushright} - -\newpage -I found the opportunity to work with Tom appealing for several reasons, not only could I broaden my own horizons, but also -contribute to educate others facing the problem of having to handle big number mathematical calculations. - -This book is Tom's child and he has been caring and fostering the project ever since the beginning with a clear mind of -how he wanted the project to turn out. I have helped by proofreading the text and we have had several discussions about -the layout and language used. - -I hold a masters degree in cryptography from the University of Southern Denmark and have always been interested in the -practical aspects of cryptography. - -Having worked in the security consultancy business for several years in S\~{a}o Paulo, Brazil, I have been in touch with a -great deal of work in which multiple precision mathematics was needed. Understanding the possibilities for speeding up -multiple precision calculations is often very important since we deal with outdated machine architecture where modular -reductions, for example, become painfully slow. - -This text is for people who stop and wonder when first examining algorithms such as RSA for the first time and asks -themselves, ``You tell me this is only secure for large numbers, fine; but how do you implement these numbers?'' - -\begin{flushright} -Mads Rasmussen - -S\~{a}o Paulo - SP - -Brazil -\end{flushright} - -\newpage -It's all because I broke my leg. That just happened to be at about the same time that Tom asked for someone to review the section of the book about -Karatsuba multiplication. I was laid up, alone and immobile, and thought ``Why not?'' I vaguely knew what Karatsuba multiplication was, but not -really, so I thought I could help, learn, and stop myself from watching daytime cable TV, all at once. - -At the time of writing this, I've still not met Tom or Mads in meatspace. I've been following Tom's progress since his first splash on the -sci.crypt Usenet news group. I watched him go from a clueless newbie, to the cryptographic equivalent of a reformed smoker, to a real -contributor to the field, over a period of about two years. I've been impressed with his obvious intelligence, and astounded by his productivity. -Of course, he's young enough to be my own child, so he doesn't have my problems with staying awake. - -When I reviewed that single section of the book, in its very earliest form, I was very pleasantly surprised. So I decided to collaborate more fully, -and at least review all of it, and perhaps write some bits too. There's still a long way to go with it, and I have watched a number of close -friends go through the mill of publication, so I think that the way to go is longer than Tom thinks it is. Nevertheless, it's a good effort, -and I'm pleased to be involved with it. - -\begin{flushright} -Greg Rose, Sydney, Australia, June 2003. -\end{flushright} - -\mainmatter -\pagestyle{headings} -\chapter{Introduction} -\section{Multiple Precision Arithmetic} - -\subsection{What is Multiple Precision Arithmetic?} -When we think of long-hand arithmetic such as addition or multiplication we rarely consider the fact that we instinctively -raise or lower the precision of the numbers we are dealing with. For example, in decimal we almost immediate can -reason that $7$ times $6$ is $42$. However, $42$ has two digits of precision as opposed to one digit we started with. -Further multiplications of say $3$ result in a larger precision result $126$. In these few examples we have multiple -precisions for the numbers we are working with. Despite the various levels of precision a single subset\footnote{With the occasional optimization.} - of algorithms can be designed to accomodate them. - -By way of comparison a fixed or single precision operation would lose precision on various operations. For example, in -the decimal system with fixed precision $6 \cdot 7 = 2$. - -Essentially at the heart of computer based multiple precision arithmetic are the same long-hand algorithms taught in -schools to manually add, subtract, multiply and divide. - -\subsection{The Need for Multiple Precision Arithmetic} -The most prevalent need for multiple precision arithmetic, often referred to as ``bignum'' math, is within the implementation -of public-key cryptography algorithms. Algorithms such as RSA \cite{RSAREF} and Diffie-Hellman \cite{DHREF} require -integers of significant magnitude to resist known cryptanalytic attacks. For example, at the time of this writing a -typical RSA modulus would be at least greater than $10^{309}$. However, modern programming languages such as ISO C \cite{ISOC} and -Java \cite{JAVA} only provide instrinsic support for integers which are relatively small and single precision. - -\begin{figure}[!here] -\begin{center} -\begin{tabular}{|r|c|} -\hline \textbf{Data Type} & \textbf{Range} \\ -\hline char & $-128 \ldots 127$ \\ -\hline short & $-32768 \ldots 32767$ \\ -\hline long & $-2147483648 \ldots 2147483647$ \\ -\hline long long & $-9223372036854775808 \ldots 9223372036854775807$ \\ -\hline -\end{tabular} -\end{center} -\caption{Typical Data Types for the C Programming Language} -\label{fig:ISOC} -\end{figure} - -The largest data type guaranteed to be provided by the ISO C programming -language\footnote{As per the ISO C standard. However, each compiler vendor is allowed to augment the precision as they -see fit.} can only represent values up to $10^{19}$ as shown in figure \ref{fig:ISOC}. On its own the C language is -insufficient to accomodate the magnitude required for the problem at hand. An RSA modulus of magnitude $10^{19}$ could be -trivially factored\footnote{A Pollard-Rho factoring would take only $2^{16}$ time.} on the average desktop computer, -rendering any protocol based on the algorithm insecure. Multiple precision algorithms solve this very problem by -extending the range of representable integers while using single precision data types. - -Most advancements in fast multiple precision arithmetic stem from the need for faster and more efficient cryptographic -primitives. Faster modular reduction and exponentiation algorithms such as Barrett's algorithm, which have appeared in -various cryptographic journals, can render algorithms such as RSA and Diffie-Hellman more efficient. In fact, several -major companies such as RSA Security, Certicom and Entrust have built entire product lines on the implementation and -deployment of efficient algorithms. - -However, cryptography is not the only field of study that can benefit from fast multiple precision integer routines. -Another auxiliary use of multiple precision integers is high precision floating point data types. -The basic IEEE \cite{IEEE} standard floating point type is made up of an integer mantissa $q$, an exponent $e$ and a sign bit $s$. -Numbers are given in the form $n = q \cdot b^e \cdot -1^s$ where $b = 2$ is the most common base for IEEE. Since IEEE -floating point is meant to be implemented in hardware the precision of the mantissa is often fairly small -(\textit{23, 48 and 64 bits}). The mantissa is merely an integer and a multiple precision integer could be used to create -a mantissa of much larger precision than hardware alone can efficiently support. This approach could be useful where -scientific applications must minimize the total output error over long calculations. - -Yet another use for large integers is within arithmetic on polynomials of large characteristic (i.e. $GF(p)[x]$ for large $p$). -In fact the library discussed within this text has already been used to form a polynomial basis library\footnote{See \url{http://poly.libtomcrypt.org} for more details.}. - -\subsection{Benefits of Multiple Precision Arithmetic} -\index{precision} -The benefit of multiple precision representations over single or fixed precision representations is that -no precision is lost while representing the result of an operation which requires excess precision. For example, -the product of two $n$-bit integers requires at least $2n$ bits of precision to be represented faithfully. A multiple -precision algorithm would augment the precision of the destination to accomodate the result while a single precision system -would truncate excess bits to maintain a fixed level of precision. - -It is possible to implement algorithms which require large integers with fixed precision algorithms. For example, elliptic -curve cryptography (\textit{ECC}) is often implemented on smartcards by fixing the precision of the integers to the maximum -size the system will ever need. Such an approach can lead to vastly simpler algorithms which can accomodate the -integers required even if the host platform cannot natively accomodate them\footnote{For example, the average smartcard -processor has an 8 bit accumulator.}. However, as efficient as such an approach may be, the resulting source code is not -normally very flexible. It cannot, at runtime, accomodate inputs of higher magnitude than the designer anticipated. - -Multiple precision algorithms have the most overhead of any style of arithmetic. For the the most part the -overhead can be kept to a minimum with careful planning, but overall, it is not well suited for most memory starved -platforms. However, multiple precision algorithms do offer the most flexibility in terms of the magnitude of the -inputs. That is, the same algorithms based on multiple precision integers can accomodate any reasonable size input -without the designer's explicit forethought. This leads to lower cost of ownership for the code as it only has to -be written and tested once. - -\section{Purpose of This Text} -The purpose of this text is to instruct the reader regarding how to implement efficient multiple precision algorithms. -That is to not only explain a limited subset of the core theory behind the algorithms but also the various ``house keeping'' -elements that are neglected by authors of other texts on the subject. Several well reknowned texts \cite{TAOCPV2,HAC} -give considerably detailed explanations of the theoretical aspects of algorithms and often very little information -regarding the practical implementation aspects. - -In most cases how an algorithm is explained and how it is actually implemented are two very different concepts. For -example, the Handbook of Applied Cryptography (\textit{HAC}), algorithm 14.7 on page 594, gives a relatively simple -algorithm for performing multiple precision integer addition. However, the description lacks any discussion concerning -the fact that the two integer inputs may be of differing magnitudes. As a result the implementation is not as simple -as the text would lead people to believe. Similarly the division routine (\textit{algorithm 14.20, pp. 598}) does not -discuss how to handle sign or handle the dividend's decreasing magnitude in the main loop (\textit{step \#3}). - -Both texts also do not discuss several key optimal algorithms required such as ``Comba'' and Karatsuba multipliers -and fast modular inversion, which we consider practical oversights. These optimal algorithms are vital to achieve -any form of useful performance in non-trivial applications. - -To solve this problem the focus of this text is on the practical aspects of implementing a multiple precision integer -package. As a case study the ``LibTomMath''\footnote{Available at \url{http://math.libtomcrypt.com}} package is used -to demonstrate algorithms with real implementations\footnote{In the ISO C programming language.} that have been field -tested and work very well. The LibTomMath library is freely available on the Internet for all uses and this text -discusses a very large portion of the inner workings of the library. - -The algorithms that are presented will always include at least one ``pseudo-code'' description followed -by the actual C source code that implements the algorithm. The pseudo-code can be used to implement the same -algorithm in other programming languages as the reader sees fit. - -This text shall also serve as a walkthrough of the creation of multiple precision algorithms from scratch. Showing -the reader how the algorithms fit together as well as where to start on various taskings. - -\section{Discussion and Notation} -\subsection{Notation} -A multiple precision integer of $n$-digits shall be denoted as $x = (x_{n-1}, \ldots, x_1, x_0)_{ \beta }$ and represent -the integer $x \equiv \sum_{i=0}^{n-1} x_i\beta^i$. The elements of the array $x$ are said to be the radix $\beta$ digits -of the integer. For example, $x = (1,2,3)_{10}$ would represent the integer -$1\cdot 10^2 + 2\cdot10^1 + 3\cdot10^0 = 123$. - -\index{mp\_int} -The term ``mp\_int'' shall refer to a composite structure which contains the digits of the integer it represents, as well -as auxilary data required to manipulate the data. These additional members are discussed further in section -\ref{sec:MPINT}. For the purposes of this text a ``multiple precision integer'' and an ``mp\_int'' are assumed to be -synonymous. When an algorithm is specified to accept an mp\_int variable it is assumed the various auxliary data members -are present as well. An expression of the type \textit{variablename.item} implies that it should evaluate to the -member named ``item'' of the variable. For example, a string of characters may have a member ``length'' which would -evaluate to the number of characters in the string. If the string $a$ equals ``hello'' then it follows that -$a.length = 5$. - -For certain discussions more generic algorithms are presented to help the reader understand the final algorithm used -to solve a given problem. When an algorithm is described as accepting an integer input it is assumed the input is -a plain integer with no additional multiple-precision members. That is, algorithms that use integers as opposed to -mp\_ints as inputs do not concern themselves with the housekeeping operations required such as memory management. These -algorithms will be used to establish the relevant theory which will subsequently be used to describe a multiple -precision algorithm to solve the same problem. - -\subsection{Precision Notation} -The variable $\beta$ represents the radix of a single digit of a multiple precision integer and -must be of the form $q^p$ for $q, p \in \Z^+$. A single precision variable must be able to represent integers in -the range $0 \le x < q \beta$ while a double precision variable must be able to represent integers in the range -$0 \le x < q \beta^2$. The extra radix-$q$ factor allows additions and subtractions to proceed without truncation of the -carry. Since all modern computers are binary, it is assumed that $q$ is two. - -\index{mp\_digit} \index{mp\_word} -Within the source code that will be presented for each algorithm, the data type \textbf{mp\_digit} will represent -a single precision integer type, while, the data type \textbf{mp\_word} will represent a double precision integer type. In -several algorithms (notably the Comba routines) temporary results will be stored in arrays of double precision mp\_words. -For the purposes of this text $x_j$ will refer to the $j$'th digit of a single precision array and $\hat x_j$ will refer to -the $j$'th digit of a double precision array. Whenever an expression is to be assigned to a double precision -variable it is assumed that all single precision variables are promoted to double precision during the evaluation. -Expressions that are assigned to a single precision variable are truncated to fit within the precision of a single -precision data type. - -For example, if $\beta = 10^2$ a single precision data type may represent a value in the -range $0 \le x < 10^3$, while a double precision data type may represent a value in the range $0 \le x < 10^5$. Let -$a = 23$ and $b = 49$ represent two single precision variables. The single precision product shall be written -as $c \leftarrow a \cdot b$ while the double precision product shall be written as $\hat c \leftarrow a \cdot b$. -In this particular case, $\hat c = 1127$ and $c = 127$. The most significant digit of the product would not fit -in a single precision data type and as a result $c \ne \hat c$. - -\subsection{Algorithm Inputs and Outputs} -Within the algorithm descriptions all variables are assumed to be scalars of either single or double precision -as indicated. The only exception to this rule is when variables have been indicated to be of type mp\_int. This -distinction is important as scalars are often used as array indicies and various other counters. - -\subsection{Mathematical Expressions} -The $\lfloor \mbox{ } \rfloor$ brackets imply an expression truncated to an integer not greater than the expression -itself. For example, $\lfloor 5.7 \rfloor = 5$. Similarly the $\lceil \mbox{ } \rceil$ brackets imply an expression -rounded to an integer not less than the expression itself. For example, $\lceil 5.1 \rceil = 6$. Typically when -the $/$ division symbol is used the intention is to perform an integer division with truncation. For example, -$5/2 = 2$ which will often be written as $\lfloor 5/2 \rfloor = 2$ for clarity. When an expression is written as a -fraction a real value division is implied, for example ${5 \over 2} = 2.5$. - -The norm of a multiple precision integer, for example $\vert \vert x \vert \vert$, will be used to represent the number of digits in the representation -of the integer. For example, $\vert \vert 123 \vert \vert = 3$ and $\vert \vert 79452 \vert \vert = 5$. - -\subsection{Work Effort} -\index{big-Oh} -To measure the efficiency of the specified algorithms, a modified big-Oh notation is used. In this system all -single precision operations are considered to have the same cost\footnote{Except where explicitly noted.}. -That is a single precision addition, multiplication and division are assumed to take the same time to -complete. While this is generally not true in practice, it will simplify the discussions considerably. - -Some algorithms have slight advantages over others which is why some constants will not be removed in -the notation. For example, a normal baseline multiplication (section \ref{sec:basemult}) requires $O(n^2)$ work while a -baseline squaring (section \ref{sec:basesquare}) requires $O({{n^2 + n}\over 2})$ work. In standard big-Oh notation these -would both be said to be equivalent to $O(n^2)$. However, -in the context of the this text this is not the case as the magnitude of the inputs will typically be rather small. As a -result small constant factors in the work effort will make an observable difference in algorithm efficiency. - -All of the algorithms presented in this text have a polynomial time work level. That is, of the form -$O(n^k)$ for $n, k \in \Z^{+}$. This will help make useful comparisons in terms of the speed of the algorithms and how -various optimizations will help pay off in the long run. - -\section{Exercises} -Within the more advanced chapters a section will be set aside to give the reader some challenging exercises related to -the discussion at hand. These exercises are not designed to be prize winning problems, but instead to be thought -provoking. Wherever possible the problems are forward minded, stating problems that will be answered in subsequent -chapters. The reader is encouraged to finish the exercises as they appear to get a better understanding of the -subject material. - -That being said, the problems are designed to affirm knowledge of a particular subject matter. Students in particular -are encouraged to verify they can answer the problems correctly before moving on. - -Similar to the exercises of \cite[pp. ix]{TAOCPV2} these exercises are given a scoring system based on the difficulty of -the problem. However, unlike \cite{TAOCPV2} the problems do not get nearly as hard. The scoring of these -exercises ranges from one (the easiest) to five (the hardest). The following table sumarizes the -scoring system used. - -\begin{figure}[here] -\begin{center} -\begin{small} -\begin{tabular}{|c|l|} -\hline $\left [ 1 \right ]$ & An easy problem that should only take the reader a manner of \\ - & minutes to solve. Usually does not involve much computer time \\ - & to solve. \\ -\hline $\left [ 2 \right ]$ & An easy problem that involves a marginal amount of computer \\ - & time usage. Usually requires a program to be written to \\ - & solve the problem. \\ -\hline $\left [ 3 \right ]$ & A moderately hard problem that requires a non-trivial amount \\ - & of work. Usually involves trivial research and development of \\ - & new theory from the perspective of a student. \\ -\hline $\left [ 4 \right ]$ & A moderately hard problem that involves a non-trivial amount \\ - & of work and research, the solution to which will demonstrate \\ - & a higher mastery of the subject matter. \\ -\hline $\left [ 5 \right ]$ & A hard problem that involves concepts that are difficult for a \\ - & novice to solve. Solutions to these problems will demonstrate a \\ - & complete mastery of the given subject. \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Exercise Scoring System} -\end{figure} - -Problems at the first level are meant to be simple questions that the reader can answer quickly without programming a solution or -devising new theory. These problems are quick tests to see if the material is understood. Problems at the second level -are also designed to be easy but will require a program or algorithm to be implemented to arrive at the answer. These -two levels are essentially entry level questions. - -Problems at the third level are meant to be a bit more difficult than the first two levels. The answer is often -fairly obvious but arriving at an exacting solution requires some thought and skill. These problems will almost always -involve devising a new algorithm or implementing a variation of another algorithm previously presented. Readers who can -answer these questions will feel comfortable with the concepts behind the topic at hand. - -Problems at the fourth level are meant to be similar to those of the level three questions except they will require -additional research to be completed. The reader will most likely not know the answer right away, nor will the text provide -the exact details of the answer until a subsequent chapter. - -Problems at the fifth level are meant to be the hardest -problems relative to all the other problems in the chapter. People who can correctly answer fifth level problems have a -mastery of the subject matter at hand. - -Often problems will be tied together. The purpose of this is to start a chain of thought that will be discussed in future chapters. The reader -is encouraged to answer the follow-up problems and try to draw the relevance of problems. - -\section{Introduction to LibTomMath} - -\subsection{What is LibTomMath?} -LibTomMath is a free and open source multiple precision integer library written entirely in portable ISO C. By portable it -is meant that the library does not contain any code that is computer platform dependent or otherwise problematic to use on -any given platform. - -The library has been successfully tested under numerous operating systems including Unix\footnote{All of these -trademarks belong to their respective rightful owners.}, MacOS, Windows, Linux, PalmOS and on standalone hardware such -as the Gameboy Advance. The library is designed to contain enough functionality to be able to develop applications such -as public key cryptosystems and still maintain a relatively small footprint. - -\subsection{Goals of LibTomMath} - -Libraries which obtain the most efficiency are rarely written in a high level programming language such as C. However, -even though this library is written entirely in ISO C, considerable care has been taken to optimize the algorithm implementations within the -library. Specifically the code has been written to work well with the GNU C Compiler (\textit{GCC}) on both x86 and ARM -processors. Wherever possible, highly efficient algorithms, such as Karatsuba multiplication, sliding window -exponentiation and Montgomery reduction have been provided to make the library more efficient. - -Even with the nearly optimal and specialized algorithms that have been included the Application Programing Interface -(\textit{API}) has been kept as simple as possible. Often generic place holder routines will make use of specialized -algorithms automatically without the developer's specific attention. One such example is the generic multiplication -algorithm \textbf{mp\_mul()} which will automatically use Toom--Cook, Karatsuba, Comba or baseline multiplication -based on the magnitude of the inputs and the configuration of the library. - -Making LibTomMath as efficient as possible is not the only goal of the LibTomMath project. Ideally the library should -be source compatible with another popular library which makes it more attractive for developers to use. In this case the -MPI library was used as a API template for all the basic functions. MPI was chosen because it is another library that fits -in the same niche as LibTomMath. Even though LibTomMath uses MPI as the template for the function names and argument -passing conventions, it has been written from scratch by Tom St Denis. - -The project is also meant to act as a learning tool for students, the logic being that no easy-to-follow ``bignum'' -library exists which can be used to teach computer science students how to perform fast and reliable multiple precision -integer arithmetic. To this end the source code has been given quite a few comments and algorithm discussion points. - -\section{Choice of LibTomMath} -LibTomMath was chosen as the case study of this text not only because the author of both projects is one and the same but -for more worthy reasons. Other libraries such as GMP \cite{GMP}, MPI \cite{MPI}, LIP \cite{LIP} and OpenSSL -\cite{OPENSSL} have multiple precision integer arithmetic routines but would not be ideal for this text for -reasons that will be explained in the following sub-sections. - -\subsection{Code Base} -The LibTomMath code base is all portable ISO C source code. This means that there are no platform dependent conditional -segments of code littered throughout the source. This clean and uncluttered approach to the library means that a -developer can more readily discern the true intent of a given section of source code without trying to keep track of -what conditional code will be used. - -The code base of LibTomMath is well organized. Each function is in its own separate source code file -which allows the reader to find a given function very quickly. On average there are $76$ lines of code per source -file which makes the source very easily to follow. By comparison MPI and LIP are single file projects making code tracing -very hard. GMP has many conditional code segments which also hinder tracing. - -When compiled with GCC for the x86 processor and optimized for speed the entire library is approximately $100$KiB\footnote{The notation ``KiB'' means $2^{10}$ octets, similarly ``MiB'' means $2^{20}$ octets.} - which is fairly small compared to GMP (over $250$KiB). LibTomMath is slightly larger than MPI (which compiles to about -$50$KiB) but LibTomMath is also much faster and more complete than MPI. - -\subsection{API Simplicity} -LibTomMath is designed after the MPI library and shares the API design. Quite often programs that use MPI will build -with LibTomMath without change. The function names correlate directly to the action they perform. Almost all of the -functions share the same parameter passing convention. The learning curve is fairly shallow with the API provided -which is an extremely valuable benefit for the student and developer alike. - -The LIP library is an example of a library with an API that is awkward to work with. LIP uses function names that are often ``compressed'' to -illegible short hand. LibTomMath does not share this characteristic. - -The GMP library also does not return error codes. Instead it uses a POSIX.1 \cite{POSIX1} signal system where errors -are signaled to the host application. This happens to be the fastest approach but definitely not the most versatile. In -effect a math error (i.e. invalid input, heap error, etc) can cause a program to stop functioning which is definitely -undersireable in many situations. - -\subsection{Optimizations} -While LibTomMath is certainly not the fastest library (GMP often beats LibTomMath by a factor of two) it does -feature a set of optimal algorithms for tasks such as modular reduction, exponentiation, multiplication and squaring. GMP -and LIP also feature such optimizations while MPI only uses baseline algorithms with no optimizations. GMP lacks a few -of the additional modular reduction optimizations that LibTomMath features\footnote{At the time of this writing GMP -only had Barrett and Montgomery modular reduction algorithms.}. - -LibTomMath is almost always an order of magnitude faster than the MPI library at computationally expensive tasks such as modular -exponentiation. In the grand scheme of ``bignum'' libraries LibTomMath is faster than the average library and usually -slower than the best libraries such as GMP and OpenSSL by only a small factor. - -\subsection{Portability and Stability} -LibTomMath will build ``out of the box'' on any platform equipped with a modern version of the GNU C Compiler -(\textit{GCC}). This means that without changes the library will build without configuration or setting up any -variables. LIP and MPI will build ``out of the box'' as well but have numerous known bugs. Most notably the author of -MPI has recently stopped working on his library and LIP has long since been discontinued. - -GMP requires a configuration script to run and will not build out of the box. GMP and LibTomMath are still in active -development and are very stable across a variety of platforms. - -\subsection{Choice} -LibTomMath is a relatively compact, well documented, highly optimized and portable library which seems only natural for -the case study of this text. Various source files from the LibTomMath project will be included within the text. However, -the reader is encouraged to download their own copy of the library to actually be able to work with the library. - -\chapter{Getting Started} -\section{Library Basics} -The trick to writing any useful library of source code is to build a solid foundation and work outwards from it. First, -a problem along with allowable solution parameters should be identified and analyzed. In this particular case the -inability to accomodate multiple precision integers is the problem. Futhermore, the solution must be written -as portable source code that is reasonably efficient across several different computer platforms. - -After a foundation is formed the remainder of the library can be designed and implemented in a hierarchical fashion. -That is, to implement the lowest level dependencies first and work towards the most abstract functions last. For example, -before implementing a modular exponentiation algorithm one would implement a modular reduction algorithm. -By building outwards from a base foundation instead of using a parallel design methodology the resulting project is -highly modular. Being highly modular is a desirable property of any project as it often means the resulting product -has a small footprint and updates are easy to perform. - -Usually when I start a project I will begin with the header files. I define the data types I think I will need and -prototype the initial functions that are not dependent on other functions (within the library). After I -implement these base functions I prototype more dependent functions and implement them. The process repeats until -I implement all of the functions I require. For example, in the case of LibTomMath I implemented functions such as -mp\_init() well before I implemented mp\_mul() and even further before I implemented mp\_exptmod(). As an example as to -why this design works note that the Karatsuba and Toom-Cook multipliers were written \textit{after} the -dependent function mp\_exptmod() was written. Adding the new multiplication algorithms did not require changes to the -mp\_exptmod() function itself and lowered the total cost of ownership (\textit{so to speak}) and of development -for new algorithms. This methodology allows new algorithms to be tested in a complete framework with relative ease. - -FIGU,design_process,Design Flow of the First Few Original LibTomMath Functions. - -Only after the majority of the functions were in place did I pursue a less hierarchical approach to auditing and optimizing -the source code. For example, one day I may audit the multipliers and the next day the polynomial basis functions. - -It only makes sense to begin the text with the preliminary data types and support algorithms required as well. -This chapter discusses the core algorithms of the library which are the dependents for every other algorithm. - -\section{What is a Multiple Precision Integer?} -Recall that most programming languages, in particular ISO C \cite{ISOC}, only have fixed precision data types that on their own cannot -be used to represent values larger than their precision will allow. The purpose of multiple precision algorithms is -to use fixed precision data types to create and manipulate multiple precision integers which may represent values -that are very large. - -As a well known analogy, school children are taught how to form numbers larger than nine by prepending more radix ten digits. In the decimal system -the largest single digit value is $9$. However, by concatenating digits together larger numbers may be represented. Newly prepended digits -(\textit{to the left}) are said to be in a different power of ten column. That is, the number $123$ can be described as having a $1$ in the hundreds -column, $2$ in the tens column and $3$ in the ones column. Or more formally $123 = 1 \cdot 10^2 + 2 \cdot 10^1 + 3 \cdot 10^0$. Computer based -multiple precision arithmetic is essentially the same concept. Larger integers are represented by adjoining fixed -precision computer words with the exception that a different radix is used. - -What most people probably do not think about explicitly are the various other attributes that describe a multiple precision -integer. For example, the integer $154_{10}$ has two immediately obvious properties. First, the integer is positive, -that is the sign of this particular integer is positive as opposed to negative. Second, the integer has three digits in -its representation. There is an additional property that the integer posesses that does not concern pencil-and-paper -arithmetic. The third property is how many digits placeholders are available to hold the integer. - -The human analogy of this third property is ensuring there is enough space on the paper to write the integer. For example, -if one starts writing a large number too far to the right on a piece of paper they will have to erase it and move left. -Similarly, computer algorithms must maintain strict control over memory usage to ensure that the digits of an integer -will not exceed the allowed boundaries. These three properties make up what is known as a multiple precision -integer or mp\_int for short. - -\subsection{The mp\_int Structure} -\label{sec:MPINT} -The mp\_int structure is the ISO C based manifestation of what represents a multiple precision integer. The ISO C standard does not provide for -any such data type but it does provide for making composite data types known as structures. The following is the structure definition -used within LibTomMath. - -\index{mp\_int} -\begin{figure}[here] -\begin{center} -\begin{small} -%\begin{verbatim} -\begin{tabular}{|l|} -\hline -typedef struct \{ \\ -\hspace{3mm}int used, alloc, sign;\\ -\hspace{3mm}mp\_digit *dp;\\ -\} \textbf{mp\_int}; \\ -\hline -\end{tabular} -%\end{verbatim} -\end{small} -\caption{The mp\_int Structure} -\label{fig:mpint} -\end{center} -\end{figure} - -The mp\_int structure (fig. \ref{fig:mpint}) can be broken down as follows. - -\begin{enumerate} -\item The \textbf{used} parameter denotes how many digits of the array \textbf{dp} contain the digits used to represent -a given integer. The \textbf{used} count must be positive (or zero) and may not exceed the \textbf{alloc} count. - -\item The \textbf{alloc} parameter denotes how -many digits are available in the array to use by functions before it has to increase in size. When the \textbf{used} count -of a result would exceed the \textbf{alloc} count all of the algorithms will automatically increase the size of the -array to accommodate the precision of the result. - -\item The pointer \textbf{dp} points to a dynamically allocated array of digits that represent the given multiple -precision integer. It is padded with $(\textbf{alloc} - \textbf{used})$ zero digits. The array is maintained in a least -significant digit order. As a pencil and paper analogy the array is organized such that the right most digits are stored -first starting at the location indexed by zero\footnote{In C all arrays begin at zero.} in the array. For example, -if \textbf{dp} contains $\lbrace a, b, c, \ldots \rbrace$ where \textbf{dp}$_0 = a$, \textbf{dp}$_1 = b$, \textbf{dp}$_2 = c$, $\ldots$ then -it would represent the integer $a + b\beta + c\beta^2 + \ldots$ - -\index{MP\_ZPOS} \index{MP\_NEG} -\item The \textbf{sign} parameter denotes the sign as either zero/positive (\textbf{MP\_ZPOS}) or negative (\textbf{MP\_NEG}). -\end{enumerate} - -\subsubsection{Valid mp\_int Structures} -Several rules are placed on the state of an mp\_int structure and are assumed to be followed for reasons of efficiency. -The only exceptions are when the structure is passed to initialization functions such as mp\_init() and mp\_init\_copy(). - -\begin{enumerate} -\item The value of \textbf{alloc} may not be less than one. That is \textbf{dp} always points to a previously allocated -array of digits. -\item The value of \textbf{used} may not exceed \textbf{alloc} and must be greater than or equal to zero. -\item The value of \textbf{used} implies the digit at index $(used - 1)$ of the \textbf{dp} array is non-zero. That is, -leading zero digits in the most significant positions must be trimmed. - \begin{enumerate} - \item Digits in the \textbf{dp} array at and above the \textbf{used} location must be zero. - \end{enumerate} -\item The value of \textbf{sign} must be \textbf{MP\_ZPOS} if \textbf{used} is zero; -this represents the mp\_int value of zero. -\end{enumerate} - -\section{Argument Passing} -A convention of argument passing must be adopted early on in the development of any library. Making the function -prototypes consistent will help eliminate many headaches in the future as the library grows to significant complexity. -In LibTomMath the multiple precision integer functions accept parameters from left to right as pointers to mp\_int -structures. That means that the source (input) operands are placed on the left and the destination (output) on the right. -Consider the following examples. - -\begin{verbatim} - mp_mul(&a, &b, &c); /* c = a * b */ - mp_add(&a, &b, &a); /* a = a + b */ - mp_sqr(&a, &b); /* b = a * a */ -\end{verbatim} - -The left to right order is a fairly natural way to implement the functions since it lets the developer read aloud the -functions and make sense of them. For example, the first function would read ``multiply a and b and store in c''. - -Certain libraries (\textit{LIP by Lenstra for instance}) accept parameters the other way around, to mimic the order -of assignment expressions. That is, the destination (output) is on the left and arguments (inputs) are on the right. In -truth, it is entirely a matter of preference. In the case of LibTomMath the convention from the MPI library has been -adopted. - -Another very useful design consideration, provided for in LibTomMath, is whether to allow argument sources to also be a -destination. For example, the second example (\textit{mp\_add}) adds $a$ to $b$ and stores in $a$. This is an important -feature to implement since it allows the calling functions to cut down on the number of variables it must maintain. -However, to implement this feature specific care has to be given to ensure the destination is not modified before the -source is fully read. - -\section{Return Values} -A well implemented application, no matter what its purpose, should trap as many runtime errors as possible and return them -to the caller. By catching runtime errors a library can be guaranteed to prevent undefined behaviour. However, the end -developer can still manage to cause a library to crash. For example, by passing an invalid pointer an application may -fault by dereferencing memory not owned by the application. - -In the case of LibTomMath the only errors that are checked for are related to inappropriate inputs (division by zero for -instance) and memory allocation errors. It will not check that the mp\_int passed to any function is valid nor -will it check pointers for validity. Any function that can cause a runtime error will return an error code as an -\textbf{int} data type with one of the following values (fig \ref{fig:errcodes}). - -\index{MP\_OKAY} \index{MP\_VAL} \index{MP\_MEM} -\begin{figure}[here] -\begin{center} -\begin{tabular}{|l|l|} -\hline \textbf{Value} & \textbf{Meaning} \\ -\hline \textbf{MP\_OKAY} & The function was successful \\ -\hline \textbf{MP\_VAL} & One of the input value(s) was invalid \\ -\hline \textbf{MP\_MEM} & The function ran out of heap memory \\ -\hline -\end{tabular} -\end{center} -\caption{LibTomMath Error Codes} -\label{fig:errcodes} -\end{figure} - -When an error is detected within a function it should free any memory it allocated, often during the initialization of -temporary mp\_ints, and return as soon as possible. The goal is to leave the system in the same state it was when the -function was called. Error checking with this style of API is fairly simple. - -\begin{verbatim} - int err; - if ((err = mp_add(&a, &b, &c)) != MP_OKAY) { - printf("Error: %s\n", mp_error_to_string(err)); - exit(EXIT_FAILURE); - } -\end{verbatim} - -The GMP \cite{GMP} library uses C style \textit{signals} to flag errors which is of questionable use. Not all errors are fatal -and it was not deemed ideal by the author of LibTomMath to force developers to have signal handlers for such cases. - -\section{Initialization and Clearing} -The logical starting point when actually writing multiple precision integer functions is the initialization and -clearing of the mp\_int structures. These two algorithms will be used by the majority of the higher level algorithms. - -Given the basic mp\_int structure an initialization routine must first allocate memory to hold the digits of -the integer. Often it is optimal to allocate a sufficiently large pre-set number of digits even though -the initial integer will represent zero. If only a single digit were allocated quite a few subsequent re-allocations -would occur when operations are performed on the integers. There is a tradeoff between how many default digits to allocate -and how many re-allocations are tolerable. Obviously allocating an excessive amount of digits initially will waste -memory and become unmanageable. - -If the memory for the digits has been successfully allocated then the rest of the members of the structure must -be initialized. Since the initial state of an mp\_int is to represent the zero integer, the allocated digits must be set -to zero. The \textbf{used} count set to zero and \textbf{sign} set to \textbf{MP\_ZPOS}. - -\subsection{Initializing an mp\_int} -An mp\_int is said to be initialized if it is set to a valid, preferably default, state such that all of the members of the -structure are set to valid values. The mp\_init algorithm will perform such an action. - -\index{mp\_init} -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_init}. \\ -\textbf{Input}. An mp\_int $a$ \\ -\textbf{Output}. Allocate memory and initialize $a$ to a known valid mp\_int state. \\ -\hline \\ -1. Allocate memory for \textbf{MP\_PREC} digits. \\ -2. If the allocation failed return(\textit{MP\_MEM}) \\ -3. for $n$ from $0$ to $MP\_PREC - 1$ do \\ -\hspace{3mm}3.1 $a_n \leftarrow 0$\\ -4. $a.sign \leftarrow MP\_ZPOS$\\ -5. $a.used \leftarrow 0$\\ -6. $a.alloc \leftarrow MP\_PREC$\\ -7. Return(\textit{MP\_OKAY})\\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_init} -\end{figure} - -\textbf{Algorithm mp\_init.} -The purpose of this function is to initialize an mp\_int structure so that the rest of the library can properly -manipulte it. It is assumed that the input may not have had any of its members previously initialized which is certainly -a valid assumption if the input resides on the stack. - -Before any of the members such as \textbf{sign}, \textbf{used} or \textbf{alloc} are initialized the memory for -the digits is allocated. If this fails the function returns before setting any of the other members. The \textbf{MP\_PREC} -name represents a constant\footnote{Defined in the ``tommath.h'' header file within LibTomMath.} -used to dictate the minimum precision of newly initialized mp\_int integers. Ideally, it is at least equal to the smallest -precision number you'll be working with. - -Allocating a block of digits at first instead of a single digit has the benefit of lowering the number of usually slow -heap operations later functions will have to perform in the future. If \textbf{MP\_PREC} is set correctly the slack -memory and the number of heap operations will be trivial. - -Once the allocation has been made the digits have to be set to zero as well as the \textbf{used}, \textbf{sign} and -\textbf{alloc} members initialized. This ensures that the mp\_int will always represent the default state of zero regardless -of the original condition of the input. - -\textbf{Remark.} -This function introduces the idiosyncrasy that all iterative loops, commonly initiated with the ``for'' keyword, iterate incrementally -when the ``to'' keyword is placed between two expressions. For example, ``for $a$ from $b$ to $c$ do'' means that -a subsequent expression (or body of expressions) are to be evaluated upto $c - b$ times so long as $b \le c$. In each -iteration the variable $a$ is substituted for a new integer that lies inclusively between $b$ and $c$. If $b > c$ occured -the loop would not iterate. By contrast if the ``downto'' keyword were used in place of ``to'' the loop would iterate -decrementally. - -EXAM,bn_mp_init.c - -One immediate observation of this initializtion function is that it does not return a pointer to a mp\_int structure. It -is assumed that the caller has already allocated memory for the mp\_int structure, typically on the application stack. The -call to mp\_init() is used only to initialize the members of the structure to a known default state. - -Here we see (line @23,XMALLOC@) the memory allocation is performed first. This allows us to exit cleanly and quickly -if there is an error. If the allocation fails the routine will return \textbf{MP\_MEM} to the caller to indicate there -was a memory error. The function XMALLOC is what actually allocates the memory. Technically XMALLOC is not a function -but a macro defined in ``tommath.h``. By default, XMALLOC will evaluate to malloc() which is the C library's built--in -memory allocation routine. - -In order to assure the mp\_int is in a known state the digits must be set to zero. On most platforms this could have been -accomplished by using calloc() instead of malloc(). However, to correctly initialize a integer type to a given value in a -portable fashion you have to actually assign the value. The for loop (line @28,for@) performs this required -operation. - -After the memory has been successfully initialized the remainder of the members are initialized -(lines @29,used@ through @31,sign@) to their respective default states. At this point the algorithm has succeeded and -a success code is returned to the calling function. If this function returns \textbf{MP\_OKAY} it is safe to assume the -mp\_int structure has been properly initialized and is safe to use with other functions within the library. - -\subsection{Clearing an mp\_int} -When an mp\_int is no longer required by the application, the memory that has been allocated for its digits must be -returned to the application's memory pool with the mp\_clear algorithm. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_clear}. \\ -\textbf{Input}. An mp\_int $a$ \\ -\textbf{Output}. The memory for $a$ shall be deallocated. \\ -\hline \\ -1. If $a$ has been previously freed then return(\textit{MP\_OKAY}). \\ -2. for $n$ from 0 to $a.used - 1$ do \\ -\hspace{3mm}2.1 $a_n \leftarrow 0$ \\ -3. Free the memory allocated for the digits of $a$. \\ -4. $a.used \leftarrow 0$ \\ -5. $a.alloc \leftarrow 0$ \\ -6. $a.sign \leftarrow MP\_ZPOS$ \\ -7. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_clear} -\end{figure} - -\textbf{Algorithm mp\_clear.} -This algorithm accomplishes two goals. First, it clears the digits and the other mp\_int members. This ensures that -if a developer accidentally re-uses a cleared structure it is less likely to cause problems. The second goal -is to free the allocated memory. - -The logic behind the algorithm is extended by marking cleared mp\_int structures so that subsequent calls to this -algorithm will not try to free the memory multiple times. Cleared mp\_ints are detectable by having a pre-defined invalid -digit pointer \textbf{dp} setting. - -Once an mp\_int has been cleared the mp\_int structure is no longer in a valid state for any other algorithm -with the exception of algorithms mp\_init, mp\_init\_copy, mp\_init\_size and mp\_clear. - -EXAM,bn_mp_clear.c - -The algorithm only operates on the mp\_int if it hasn't been previously cleared. The if statement (line @23,a->dp != NULL@) -checks to see if the \textbf{dp} member is not \textbf{NULL}. If the mp\_int is a valid mp\_int then \textbf{dp} cannot be -\textbf{NULL} in which case the if statement will evaluate to true. - -The digits of the mp\_int are cleared by the for loop (line @25,for@) which assigns a zero to every digit. Similar to mp\_init() -the digits are assigned zero instead of using block memory operations (such as memset()) since this is more portable. - -The digits are deallocated off the heap via the XFREE macro. Similar to XMALLOC the XFREE macro actually evaluates to -a standard C library function. In this case the free() function. Since free() only deallocates the memory the pointer -still has to be reset to \textbf{NULL} manually (line @33,NULL@). - -Now that the digits have been cleared and deallocated the other members are set to their final values (lines @34,= 0@ and @35,ZPOS@). - -\section{Maintenance Algorithms} - -The previous sections describes how to initialize and clear an mp\_int structure. To further support operations -that are to be performed on mp\_int structures (such as addition and multiplication) the dependent algorithms must be -able to augment the precision of an mp\_int and -initialize mp\_ints with differing initial conditions. - -These algorithms complete the set of low level algorithms required to work with mp\_int structures in the higher level -algorithms such as addition, multiplication and modular exponentiation. - -\subsection{Augmenting an mp\_int's Precision} -When storing a value in an mp\_int structure, a sufficient number of digits must be available to accomodate the entire -result of an operation without loss of precision. Quite often the size of the array given by the \textbf{alloc} member -is large enough to simply increase the \textbf{used} digit count. However, when the size of the array is too small it -must be re-sized appropriately to accomodate the result. The mp\_grow algorithm will provide this functionality. - -\newpage\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_grow}. \\ -\textbf{Input}. An mp\_int $a$ and an integer $b$. \\ -\textbf{Output}. $a$ is expanded to accomodate $b$ digits. \\ -\hline \\ -1. if $a.alloc \ge b$ then return(\textit{MP\_OKAY}) \\ -2. $u \leftarrow b\mbox{ (mod }MP\_PREC\mbox{)}$ \\ -3. $v \leftarrow b + 2 \cdot MP\_PREC - u$ \\ -4. Re-allocate the array of digits $a$ to size $v$ \\ -5. If the allocation failed then return(\textit{MP\_MEM}). \\ -6. for n from a.alloc to $v - 1$ do \\ -\hspace{+3mm}6.1 $a_n \leftarrow 0$ \\ -7. $a.alloc \leftarrow v$ \\ -8. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_grow} -\end{figure} - -\textbf{Algorithm mp\_grow.} -It is ideal to prevent re-allocations from being performed if they are not required (step one). This is useful to -prevent mp\_ints from growing excessively in code that erroneously calls mp\_grow. - -The requested digit count is padded up to next multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} (steps two and three). -This helps prevent many trivial reallocations that would grow an mp\_int by trivially small values. - -It is assumed that the reallocation (step four) leaves the lower $a.alloc$ digits of the mp\_int intact. This is much -akin to how the \textit{realloc} function from the standard C library works. Since the newly allocated digits are -assumed to contain undefined values they are initially set to zero. - -EXAM,bn_mp_grow.c - -A quick optimization is to first determine if a memory re-allocation is required at all. The if statement (line @24,alloc@) checks -if the \textbf{alloc} member of the mp\_int is smaller than the requested digit count. If the count is not larger than \textbf{alloc} -the function skips the re-allocation part thus saving time. - -When a re-allocation is performed it is turned into an optimal request to save time in the future. The requested digit count is -padded upwards to 2nd multiple of \textbf{MP\_PREC} larger than \textbf{alloc} (line @25, size@). The XREALLOC function is used -to re-allocate the memory. As per the other functions XREALLOC is actually a macro which evaluates to realloc by default. The realloc -function leaves the base of the allocation intact which means the first \textbf{alloc} digits of the mp\_int are the same as before -the re-allocation. All that is left is to clear the newly allocated digits and return. - -Note that the re-allocation result is actually stored in a temporary pointer $tmp$. This is to allow this function to return -an error with a valid pointer. Earlier releases of the library stored the result of XREALLOC into the mp\_int $a$. That would -result in a memory leak if XREALLOC ever failed. - -\subsection{Initializing Variable Precision mp\_ints} -Occasionally the number of digits required will be known in advance of an initialization, based on, for example, the size -of input mp\_ints to a given algorithm. The purpose of algorithm mp\_init\_size is similar to mp\_init except that it -will allocate \textit{at least} a specified number of digits. - -\begin{figure}[here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_init\_size}. \\ -\textbf{Input}. An mp\_int $a$ and the requested number of digits $b$. \\ -\textbf{Output}. $a$ is initialized to hold at least $b$ digits. \\ -\hline \\ -1. $u \leftarrow b \mbox{ (mod }MP\_PREC\mbox{)}$ \\ -2. $v \leftarrow b + 2 \cdot MP\_PREC - u$ \\ -3. Allocate $v$ digits. \\ -4. for $n$ from $0$ to $v - 1$ do \\ -\hspace{3mm}4.1 $a_n \leftarrow 0$ \\ -5. $a.sign \leftarrow MP\_ZPOS$\\ -6. $a.used \leftarrow 0$\\ -7. $a.alloc \leftarrow v$\\ -8. Return(\textit{MP\_OKAY})\\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_init\_size} -\end{figure} - -\textbf{Algorithm mp\_init\_size.} -This algorithm will initialize an mp\_int structure $a$ like algorithm mp\_init with the exception that the number of -digits allocated can be controlled by the second input argument $b$. The input size is padded upwards so it is a -multiple of \textbf{MP\_PREC} plus an additional \textbf{MP\_PREC} digits. This padding is used to prevent trivial -allocations from becoming a bottleneck in the rest of the algorithms. - -Like algorithm mp\_init, the mp\_int structure is initialized to a default state representing the integer zero. This -particular algorithm is useful if it is known ahead of time the approximate size of the input. If the approximation is -correct no further memory re-allocations are required to work with the mp\_int. - -EXAM,bn_mp_init_size.c - -The number of digits $b$ requested is padded (line @22,MP_PREC@) by first augmenting it to the next multiple of -\textbf{MP\_PREC} and then adding \textbf{MP\_PREC} to the result. If the memory can be successfully allocated the -mp\_int is placed in a default state representing the integer zero. Otherwise, the error code \textbf{MP\_MEM} will be -returned (line @27,return@). - -The digits are allocated and set to zero at the same time with the calloc() function (line @25,XCALLOC@). The -\textbf{used} count is set to zero, the \textbf{alloc} count set to the padded digit count and the \textbf{sign} flag set -to \textbf{MP\_ZPOS} to achieve a default valid mp\_int state (lines @29,used@, @30,alloc@ and @31,sign@). If the function -returns succesfully then it is correct to assume that the mp\_int structure is in a valid state for the remainder of the -functions to work with. - -\subsection{Multiple Integer Initializations and Clearings} -Occasionally a function will require a series of mp\_int data types to be made available simultaneously. -The purpose of algorithm mp\_init\_multi is to initialize a variable length array of mp\_int structures in a single -statement. It is essentially a shortcut to multiple initializations. - -\newpage\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_init\_multi}. \\ -\textbf{Input}. Variable length array $V_k$ of mp\_int variables of length $k$. \\ -\textbf{Output}. The array is initialized such that each mp\_int of $V_k$ is ready to use. \\ -\hline \\ -1. for $n$ from 0 to $k - 1$ do \\ -\hspace{+3mm}1.1. Initialize the mp\_int $V_n$ (\textit{mp\_init}) \\ -\hspace{+3mm}1.2. If initialization failed then do \\ -\hspace{+6mm}1.2.1. for $j$ from $0$ to $n$ do \\ -\hspace{+9mm}1.2.1.1. Free the mp\_int $V_j$ (\textit{mp\_clear}) \\ -\hspace{+6mm}1.2.2. Return(\textit{MP\_MEM}) \\ -2. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_init\_multi} -\end{figure} - -\textbf{Algorithm mp\_init\_multi.} -The algorithm will initialize the array of mp\_int variables one at a time. If a runtime error has been detected -(\textit{step 1.2}) all of the previously initialized variables are cleared. The goal is an ``all or nothing'' -initialization which allows for quick recovery from runtime errors. - -EXAM,bn_mp_init_multi.c - -This function intializes a variable length list of mp\_int structure pointers. However, instead of having the mp\_int -structures in an actual C array they are simply passed as arguments to the function. This function makes use of the -``...'' argument syntax of the C programming language. The list is terminated with a final \textbf{NULL} argument -appended on the right. - -The function uses the ``stdarg.h'' \textit{va} functions to step portably through the arguments to the function. A count -$n$ of succesfully initialized mp\_int structures is maintained (line @47,n++@) such that if a failure does occur, -the algorithm can backtrack and free the previously initialized structures (lines @27,if@ to @46,}@). - - -\subsection{Clamping Excess Digits} -When a function anticipates a result will be $n$ digits it is simpler to assume this is true within the body of -the function instead of checking during the computation. For example, a multiplication of a $i$ digit number by a -$j$ digit produces a result of at most $i + j$ digits. It is entirely possible that the result is $i + j - 1$ -though, with no final carry into the last position. However, suppose the destination had to be first expanded -(\textit{via mp\_grow}) to accomodate $i + j - 1$ digits than further expanded to accomodate the final carry. -That would be a considerable waste of time since heap operations are relatively slow. - -The ideal solution is to always assume the result is $i + j$ and fix up the \textbf{used} count after the function -terminates. This way a single heap operation (\textit{at most}) is required. However, if the result was not checked -there would be an excess high order zero digit. - -For example, suppose the product of two integers was $x_n = (0x_{n-1}x_{n-2}...x_0)_{\beta}$. The leading zero digit -will not contribute to the precision of the result. In fact, through subsequent operations more leading zero digits would -accumulate to the point the size of the integer would be prohibitive. As a result even though the precision is very -low the representation is excessively large. - -The mp\_clamp algorithm is designed to solve this very problem. It will trim high-order zeros by decrementing the -\textbf{used} count until a non-zero most significant digit is found. Also in this system, zero is considered to be a -positive number which means that if the \textbf{used} count is decremented to zero, the sign must be set to -\textbf{MP\_ZPOS}. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_clamp}. \\ -\textbf{Input}. An mp\_int $a$ \\ -\textbf{Output}. Any excess leading zero digits of $a$ are removed \\ -\hline \\ -1. while $a.used > 0$ and $a_{a.used - 1} = 0$ do \\ -\hspace{+3mm}1.1 $a.used \leftarrow a.used - 1$ \\ -2. if $a.used = 0$ then do \\ -\hspace{+3mm}2.1 $a.sign \leftarrow MP\_ZPOS$ \\ -\hline \\ -\end{tabular} -\end{center} -\caption{Algorithm mp\_clamp} -\end{figure} - -\textbf{Algorithm mp\_clamp.} -As can be expected this algorithm is very simple. The loop on step one is expected to iterate only once or twice at -the most. For example, this will happen in cases where there is not a carry to fill the last position. Step two fixes the sign for -when all of the digits are zero to ensure that the mp\_int is valid at all times. - -EXAM,bn_mp_clamp.c - -Note on line @27,while@ how to test for the \textbf{used} count is made on the left of the \&\& operator. In the C programming -language the terms to \&\& are evaluated left to right with a boolean short-circuit if any condition fails. This is -important since if the \textbf{used} is zero the test on the right would fetch below the array. That is obviously -undesirable. The parenthesis on line @28,a->used@ is used to make sure the \textbf{used} count is decremented and not -the pointer ``a''. - -\section*{Exercises} -\begin{tabular}{cl} -$\left [ 1 \right ]$ & Discuss the relevance of the \textbf{used} member of the mp\_int structure. \\ - & \\ -$\left [ 1 \right ]$ & Discuss the consequences of not using padding when performing allocations. \\ - & \\ -$\left [ 2 \right ]$ & Estimate an ideal value for \textbf{MP\_PREC} when performing 1024-bit RSA \\ - & encryption when $\beta = 2^{28}$. \\ - & \\ -$\left [ 1 \right ]$ & Discuss the relevance of the algorithm mp\_clamp. What does it prevent? \\ - & \\ -$\left [ 1 \right ]$ & Give an example of when the algorithm mp\_init\_copy might be useful. \\ - & \\ -\end{tabular} - - -%%% -% CHAPTER FOUR -%%% - -\chapter{Basic Operations} - -\section{Introduction} -In the previous chapter a series of low level algorithms were established that dealt with initializing and maintaining -mp\_int structures. This chapter will discuss another set of seemingly non-algebraic algorithms which will form the low -level basis of the entire library. While these algorithm are relatively trivial it is important to understand how they -work before proceeding since these algorithms will be used almost intrinsically in the following chapters. - -The algorithms in this chapter deal primarily with more ``programmer'' related tasks such as creating copies of -mp\_int structures, assigning small values to mp\_int structures and comparisons of the values mp\_int structures -represent. - -\section{Assigning Values to mp\_int Structures} -\subsection{Copying an mp\_int} -Assigning the value that a given mp\_int structure represents to another mp\_int structure shall be known as making -a copy for the purposes of this text. The copy of the mp\_int will be a separate entity that represents the same -value as the mp\_int it was copied from. The mp\_copy algorithm provides this functionality. - -\newpage\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_copy}. \\ -\textbf{Input}. An mp\_int $a$ and $b$. \\ -\textbf{Output}. Store a copy of $a$ in $b$. \\ -\hline \\ -1. If $b.alloc < a.used$ then grow $b$ to $a.used$ digits. (\textit{mp\_grow}) \\ -2. for $n$ from 0 to $a.used - 1$ do \\ -\hspace{3mm}2.1 $b_{n} \leftarrow a_{n}$ \\ -3. for $n$ from $a.used$ to $b.used - 1$ do \\ -\hspace{3mm}3.1 $b_{n} \leftarrow 0$ \\ -4. $b.used \leftarrow a.used$ \\ -5. $b.sign \leftarrow a.sign$ \\ -6. return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_copy} -\end{figure} - -\textbf{Algorithm mp\_copy.} -This algorithm copies the mp\_int $a$ such that upon succesful termination of the algorithm the mp\_int $b$ will -represent the same integer as the mp\_int $a$. The mp\_int $b$ shall be a complete and distinct copy of the -mp\_int $a$ meaing that the mp\_int $a$ can be modified and it shall not affect the value of the mp\_int $b$. - -If $b$ does not have enough room for the digits of $a$ it must first have its precision augmented via the mp\_grow -algorithm. The digits of $a$ are copied over the digits of $b$ and any excess digits of $b$ are set to zero (step two -and three). The \textbf{used} and \textbf{sign} members of $a$ are finally copied over the respective members of -$b$. - -\textbf{Remark.} This algorithm also introduces a new idiosyncrasy that will be used throughout the rest of the -text. The error return codes of other algorithms are not explicitly checked in the pseudo-code presented. For example, in -step one of the mp\_copy algorithm the return of mp\_grow is not explicitly checked to ensure it succeeded. Text space is -limited so it is assumed that if a algorithm fails it will clear all temporarily allocated mp\_ints and return -the error code itself. However, the C code presented will demonstrate all of the error handling logic required to -implement the pseudo-code. - -EXAM,bn_mp_copy.c - -Occasionally a dependent algorithm may copy an mp\_int effectively into itself such as when the input and output -mp\_int structures passed to a function are one and the same. For this case it is optimal to return immediately without -copying digits (line @24,a == b@). - -The mp\_int $b$ must have enough digits to accomodate the used digits of the mp\_int $a$. If $b.alloc$ is less than -$a.used$ the algorithm mp\_grow is used to augment the precision of $b$ (lines @29,alloc@ to @33,}@). In order to -simplify the inner loop that copies the digits from $a$ to $b$, two aliases $tmpa$ and $tmpb$ point directly at the digits -of the mp\_ints $a$ and $b$ respectively. These aliases (lines @42,tmpa@ and @45,tmpb@) allow the compiler to access the digits without first dereferencing the -mp\_int pointers and then subsequently the pointer to the digits. - -After the aliases are established the digits from $a$ are copied into $b$ (lines @48,for@ to @50,}@) and then the excess -digits of $b$ are set to zero (lines @53,for@ to @55,}@). Both ``for'' loops make use of the pointer aliases and in -fact the alias for $b$ is carried through into the second ``for'' loop to clear the excess digits. This optimization -allows the alias to stay in a machine register fairly easy between the two loops. - -\textbf{Remarks.} The use of pointer aliases is an implementation methodology first introduced in this function that will -be used considerably in other functions. Technically, a pointer alias is simply a short hand alias used to lower the -number of pointer dereferencing operations required to access data. For example, a for loop may resemble - -\begin{alltt} -for (x = 0; x < 100; x++) \{ - a->num[4]->dp[x] = 0; -\} -\end{alltt} - -This could be re-written using aliases as - -\begin{alltt} -mp_digit *tmpa; -a = a->num[4]->dp; -for (x = 0; x < 100; x++) \{ - *a++ = 0; -\} -\end{alltt} - -In this case an alias is used to access the -array of digits within an mp\_int structure directly. It may seem that a pointer alias is strictly not required -as a compiler may optimize out the redundant pointer operations. However, there are two dominant reasons to use aliases. - -The first reason is that most compilers will not effectively optimize pointer arithmetic. For example, some optimizations -may work for the Microsoft Visual C++ compiler (MSVC) and not for the GNU C Compiler (GCC). Also some optimizations may -work for GCC and not MSVC. As such it is ideal to find a common ground for as many compilers as possible. Pointer -aliases optimize the code considerably before the compiler even reads the source code which means the end compiled code -stands a better chance of being faster. - -The second reason is that pointer aliases often can make an algorithm simpler to read. Consider the first ``for'' -loop of the function mp\_copy() re-written to not use pointer aliases. - -\begin{alltt} - /* copy all the digits */ - for (n = 0; n < a->used; n++) \{ - b->dp[n] = a->dp[n]; - \} -\end{alltt} - -Whether this code is harder to read depends strongly on the individual. However, it is quantifiably slightly more -complicated as there are four variables within the statement instead of just two. - -\subsubsection{Nested Statements} -Another commonly used technique in the source routines is that certain sections of code are nested. This is used in -particular with the pointer aliases to highlight code phases. For example, a Comba multiplier (discussed in chapter six) -will typically have three different phases. First the temporaries are initialized, then the columns calculated and -finally the carries are propagated. In this example the middle column production phase will typically be nested as it -uses temporary variables and aliases the most. - -The nesting also simplies the source code as variables that are nested are only valid for their scope. As a result -the various temporary variables required do not propagate into other sections of code. - - -\subsection{Creating a Clone} -Another common operation is to make a local temporary copy of an mp\_int argument. To initialize an mp\_int -and then copy another existing mp\_int into the newly intialized mp\_int will be known as creating a clone. This is -useful within functions that need to modify an argument but do not wish to actually modify the original copy. The -mp\_init\_copy algorithm has been designed to help perform this task. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_init\_copy}. \\ -\textbf{Input}. An mp\_int $a$ and $b$\\ -\textbf{Output}. $a$ is initialized to be a copy of $b$. \\ -\hline \\ -1. Init $a$. (\textit{mp\_init}) \\ -2. Copy $b$ to $a$. (\textit{mp\_copy}) \\ -3. Return the status of the copy operation. \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_init\_copy} -\end{figure} - -\textbf{Algorithm mp\_init\_copy.} -This algorithm will initialize an mp\_int variable and copy another previously initialized mp\_int variable into it. As -such this algorithm will perform two operations in one step. - -EXAM,bn_mp_init_copy.c - -This will initialize \textbf{a} and make it a verbatim copy of the contents of \textbf{b}. Note that -\textbf{a} will have its own memory allocated which means that \textbf{b} may be cleared after the call -and \textbf{a} will be left intact. - -\section{Zeroing an Integer} -Reseting an mp\_int to the default state is a common step in many algorithms. The mp\_zero algorithm will be the algorithm used to -perform this task. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_zero}. \\ -\textbf{Input}. An mp\_int $a$ \\ -\textbf{Output}. Zero the contents of $a$ \\ -\hline \\ -1. $a.used \leftarrow 0$ \\ -2. $a.sign \leftarrow$ MP\_ZPOS \\ -3. for $n$ from 0 to $a.alloc - 1$ do \\ -\hspace{3mm}3.1 $a_n \leftarrow 0$ \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_zero} -\end{figure} - -\textbf{Algorithm mp\_zero.} -This algorithm simply resets a mp\_int to the default state. - -EXAM,bn_mp_zero.c - -After the function is completed, all of the digits are zeroed, the \textbf{used} count is zeroed and the -\textbf{sign} variable is set to \textbf{MP\_ZPOS}. - -\section{Sign Manipulation} -\subsection{Absolute Value} -With the mp\_int representation of an integer, calculating the absolute value is trivial. The mp\_abs algorithm will compute -the absolute value of an mp\_int. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_abs}. \\ -\textbf{Input}. An mp\_int $a$ \\ -\textbf{Output}. Computes $b = \vert a \vert$ \\ -\hline \\ -1. Copy $a$ to $b$. (\textit{mp\_copy}) \\ -2. If the copy failed return(\textit{MP\_MEM}). \\ -3. $b.sign \leftarrow MP\_ZPOS$ \\ -4. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_abs} -\end{figure} - -\textbf{Algorithm mp\_abs.} -This algorithm computes the absolute of an mp\_int input. First it copies $a$ over $b$. This is an example of an -algorithm where the check in mp\_copy that determines if the source and destination are equal proves useful. This allows, -for instance, the developer to pass the same mp\_int as the source and destination to this function without addition -logic to handle it. - -EXAM,bn_mp_abs.c - -This fairly trivial algorithm first eliminates non--required duplications (line @27,a != b@) and then sets the -\textbf{sign} flag to \textbf{MP\_ZPOS}. - -\subsection{Integer Negation} -With the mp\_int representation of an integer, calculating the negation is also trivial. The mp\_neg algorithm will compute -the negative of an mp\_int input. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_neg}. \\ -\textbf{Input}. An mp\_int $a$ \\ -\textbf{Output}. Computes $b = -a$ \\ -\hline \\ -1. Copy $a$ to $b$. (\textit{mp\_copy}) \\ -2. If the copy failed return(\textit{MP\_MEM}). \\ -3. If $a.used = 0$ then return(\textit{MP\_OKAY}). \\ -4. If $a.sign = MP\_ZPOS$ then do \\ -\hspace{3mm}4.1 $b.sign = MP\_NEG$. \\ -5. else do \\ -\hspace{3mm}5.1 $b.sign = MP\_ZPOS$. \\ -6. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_neg} -\end{figure} - -\textbf{Algorithm mp\_neg.} -This algorithm computes the negation of an input. First it copies $a$ over $b$. If $a$ has no used digits then -the algorithm returns immediately. Otherwise it flips the sign flag and stores the result in $b$. Note that if -$a$ had no digits then it must be positive by definition. Had step three been omitted then the algorithm would return -zero as negative. - -EXAM,bn_mp_neg.c - -Like mp\_abs() this function avoids non--required duplications (line @21,a != b@) and then sets the sign. We -have to make sure that only non--zero values get a \textbf{sign} of \textbf{MP\_NEG}. If the mp\_int is zero -than the \textbf{sign} is hard--coded to \textbf{MP\_ZPOS}. - -\section{Small Constants} -\subsection{Setting Small Constants} -Often a mp\_int must be set to a relatively small value such as $1$ or $2$. For these cases the mp\_set algorithm is useful. - -\newpage\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_set}. \\ -\textbf{Input}. An mp\_int $a$ and a digit $b$ \\ -\textbf{Output}. Make $a$ equivalent to $b$ \\ -\hline \\ -1. Zero $a$ (\textit{mp\_zero}). \\ -2. $a_0 \leftarrow b \mbox{ (mod }\beta\mbox{)}$ \\ -3. $a.used \leftarrow \left \lbrace \begin{array}{ll} - 1 & \mbox{if }a_0 > 0 \\ - 0 & \mbox{if }a_0 = 0 - \end{array} \right .$ \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_set} -\end{figure} - -\textbf{Algorithm mp\_set.} -This algorithm sets a mp\_int to a small single digit value. Step number 1 ensures that the integer is reset to the default state. The -single digit is set (\textit{modulo $\beta$}) and the \textbf{used} count is adjusted accordingly. - -EXAM,bn_mp_set.c - -First we zero (line @21,mp_zero@) the mp\_int to make sure that the other members are initialized for a -small positive constant. mp\_zero() ensures that the \textbf{sign} is positive and the \textbf{used} count -is zero. Next we set the digit and reduce it modulo $\beta$ (line @22,MP_MASK@). After this step we have to -check if the resulting digit is zero or not. If it is not then we set the \textbf{used} count to one, otherwise -to zero. - -We can quickly reduce modulo $\beta$ since it is of the form $2^k$ and a quick binary AND operation with -$2^k - 1$ will perform the same operation. - -One important limitation of this function is that it will only set one digit. The size of a digit is not fixed, meaning source that uses -this function should take that into account. Only trivially small constants can be set using this function. - -\subsection{Setting Large Constants} -To overcome the limitations of the mp\_set algorithm the mp\_set\_int algorithm is ideal. It accepts a ``long'' -data type as input and will always treat it as a 32-bit integer. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_set\_int}. \\ -\textbf{Input}. An mp\_int $a$ and a ``long'' integer $b$ \\ -\textbf{Output}. Make $a$ equivalent to $b$ \\ -\hline \\ -1. Zero $a$ (\textit{mp\_zero}) \\ -2. for $n$ from 0 to 7 do \\ -\hspace{3mm}2.1 $a \leftarrow a \cdot 16$ (\textit{mp\_mul2d}) \\ -\hspace{3mm}2.2 $u \leftarrow \lfloor b / 2^{4(7 - n)} \rfloor \mbox{ (mod }16\mbox{)}$\\ -\hspace{3mm}2.3 $a_0 \leftarrow a_0 + u$ \\ -\hspace{3mm}2.4 $a.used \leftarrow a.used + 1$ \\ -3. Clamp excess used digits (\textit{mp\_clamp}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_set\_int} -\end{figure} - -\textbf{Algorithm mp\_set\_int.} -The algorithm performs eight iterations of a simple loop where in each iteration four bits from the source are added to the -mp\_int. Step 2.1 will multiply the current result by sixteen making room for four more bits in the less significant positions. In step 2.2 the -next four bits from the source are extracted and are added to the mp\_int. The \textbf{used} digit count is -incremented to reflect the addition. The \textbf{used} digit counter is incremented since if any of the leading digits were zero the mp\_int would have -zero digits used and the newly added four bits would be ignored. - -Excess zero digits are trimmed in steps 2.1 and 3 by using higher level algorithms mp\_mul2d and mp\_clamp. - -EXAM,bn_mp_set_int.c - -This function sets four bits of the number at a time to handle all practical \textbf{DIGIT\_BIT} sizes. The weird -addition on line @38,a->used@ ensures that the newly added in bits are added to the number of digits. While it may not -seem obvious as to why the digit counter does not grow exceedingly large it is because of the shift on line @27,mp_mul_2d@ -as well as the call to mp\_clamp() on line @40,mp_clamp@. Both functions will clamp excess leading digits which keeps -the number of used digits low. - -\section{Comparisons} -\subsection{Unsigned Comparisions} -Comparing a multiple precision integer is performed with the exact same algorithm used to compare two decimal numbers. For example, -to compare $1,234$ to $1,264$ the digits are extracted by their positions. That is we compare $1 \cdot 10^3 + 2 \cdot 10^2 + 3 \cdot 10^1 + 4 \cdot 10^0$ -to $1 \cdot 10^3 + 2 \cdot 10^2 + 6 \cdot 10^1 + 4 \cdot 10^0$ by comparing single digits at a time starting with the highest magnitude -positions. If any leading digit of one integer is greater than a digit in the same position of another integer then obviously it must be greater. - -The first comparision routine that will be developed is the unsigned magnitude compare which will perform a comparison based on the digits of two -mp\_int variables alone. It will ignore the sign of the two inputs. Such a function is useful when an absolute comparison is required or if the -signs are known to agree in advance. - -To facilitate working with the results of the comparison functions three constants are required. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{|r|l|} -\hline \textbf{Constant} & \textbf{Meaning} \\ -\hline \textbf{MP\_GT} & Greater Than \\ -\hline \textbf{MP\_EQ} & Equal To \\ -\hline \textbf{MP\_LT} & Less Than \\ -\hline -\end{tabular} -\end{center} -\caption{Comparison Return Codes} -\end{figure} - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_cmp\_mag}. \\ -\textbf{Input}. Two mp\_ints $a$ and $b$. \\ -\textbf{Output}. Unsigned comparison results ($a$ to the left of $b$). \\ -\hline \\ -1. If $a.used > b.used$ then return(\textit{MP\_GT}) \\ -2. If $a.used < b.used$ then return(\textit{MP\_LT}) \\ -3. for n from $a.used - 1$ to 0 do \\ -\hspace{+3mm}3.1 if $a_n > b_n$ then return(\textit{MP\_GT}) \\ -\hspace{+3mm}3.2 if $a_n < b_n$ then return(\textit{MP\_LT}) \\ -4. Return(\textit{MP\_EQ}) \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_cmp\_mag} -\end{figure} - -\textbf{Algorithm mp\_cmp\_mag.} -By saying ``$a$ to the left of $b$'' it is meant that the comparison is with respect to $a$, that is if $a$ is greater than $b$ it will return -\textbf{MP\_GT} and similar with respect to when $a = b$ and $a < b$. The first two steps compare the number of digits used in both $a$ and $b$. -Obviously if the digit counts differ there would be an imaginary zero digit in the smaller number where the leading digit of the larger number is. -If both have the same number of digits than the actual digits themselves must be compared starting at the leading digit. - -By step three both inputs must have the same number of digits so its safe to start from either $a.used - 1$ or $b.used - 1$ and count down to -the zero'th digit. If after all of the digits have been compared, no difference is found, the algorithm returns \textbf{MP\_EQ}. - -EXAM,bn_mp_cmp_mag.c - -The two if statements (lines @24,if@ and @28,if@) compare the number of digits in the two inputs. These two are -performed before all of the digits are compared since it is a very cheap test to perform and can potentially save -considerable time. The implementation given is also not valid without those two statements. $b.alloc$ may be -smaller than $a.used$, meaning that undefined values will be read from $b$ past the end of the array of digits. - - - -\subsection{Signed Comparisons} -Comparing with sign considerations is also fairly critical in several routines (\textit{division for example}). Based on an unsigned magnitude -comparison a trivial signed comparison algorithm can be written. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_cmp}. \\ -\textbf{Input}. Two mp\_ints $a$ and $b$ \\ -\textbf{Output}. Signed Comparison Results ($a$ to the left of $b$) \\ -\hline \\ -1. if $a.sign = MP\_NEG$ and $b.sign = MP\_ZPOS$ then return(\textit{MP\_LT}) \\ -2. if $a.sign = MP\_ZPOS$ and $b.sign = MP\_NEG$ then return(\textit{MP\_GT}) \\ -3. if $a.sign = MP\_NEG$ then \\ -\hspace{+3mm}3.1 Return the unsigned comparison of $b$ and $a$ (\textit{mp\_cmp\_mag}) \\ -4 Otherwise \\ -\hspace{+3mm}4.1 Return the unsigned comparison of $a$ and $b$ \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_cmp} -\end{figure} - -\textbf{Algorithm mp\_cmp.} -The first two steps compare the signs of the two inputs. If the signs do not agree then it can return right away with the appropriate -comparison code. When the signs are equal the digits of the inputs must be compared to determine the correct result. In step -three the unsigned comparision flips the order of the arguments since they are both negative. For instance, if $-a > -b$ then -$\vert a \vert < \vert b \vert$. Step number four will compare the two when they are both positive. - -EXAM,bn_mp_cmp.c - -The two if statements (lines @22,if@ and @26,if@) perform the initial sign comparison. If the signs are not the equal then which ever -has the positive sign is larger. The inputs are compared (line @30,if@) based on magnitudes. If the signs were both -negative then the unsigned comparison is performed in the opposite direction (line @31,mp_cmp_mag@). Otherwise, the signs are assumed to -be both positive and a forward direction unsigned comparison is performed. - -\section*{Exercises} -\begin{tabular}{cl} -$\left [ 2 \right ]$ & Modify algorithm mp\_set\_int to accept as input a variable length array of bits. \\ - & \\ -$\left [ 3 \right ]$ & Give the probability that algorithm mp\_cmp\_mag will have to compare $k$ digits \\ - & of two random digits (of equal magnitude) before a difference is found. \\ - & \\ -$\left [ 1 \right ]$ & Suggest a simple method to speed up the implementation of mp\_cmp\_mag based \\ - & on the observations made in the previous problem. \\ - & -\end{tabular} - -\chapter{Basic Arithmetic} -\section{Introduction} -At this point algorithms for initialization, clearing, zeroing, copying, comparing and setting small constants have been -established. The next logical set of algorithms to develop are addition, subtraction and digit shifting algorithms. These -algorithms make use of the lower level algorithms and are the cruicial building block for the multiplication algorithms. It is very important -that these algorithms are highly optimized. On their own they are simple $O(n)$ algorithms but they can be called from higher level algorithms -which easily places them at $O(n^2)$ or even $O(n^3)$ work levels. - -MARK,SHIFTS -All of the algorithms within this chapter make use of the logical bit shift operations denoted by $<<$ and $>>$ for left and right -logical shifts respectively. A logical shift is analogous to sliding the decimal point of radix-10 representations. For example, the real -number $0.9345$ is equivalent to $93.45\%$ which is found by sliding the the decimal two places to the right (\textit{multiplying by $\beta^2 = 10^2$}). -Algebraically a binary logical shift is equivalent to a division or multiplication by a power of two. -For example, $a << k = a \cdot 2^k$ while $a >> k = \lfloor a/2^k \rfloor$. - -One significant difference between a logical shift and the way decimals are shifted is that digits below the zero'th position are removed -from the number. For example, consider $1101_2 >> 1$ using decimal notation this would produce $110.1_2$. However, with a logical shift the -result is $110_2$. - -\section{Addition and Subtraction} -In common twos complement fixed precision arithmetic negative numbers are easily represented by subtraction from the modulus. For example, with 32-bit integers -$a - b\mbox{ (mod }2^{32}\mbox{)}$ is the same as $a + (2^{32} - b) \mbox{ (mod }2^{32}\mbox{)}$ since $2^{32} \equiv 0 \mbox{ (mod }2^{32}\mbox{)}$. -As a result subtraction can be performed with a trivial series of logical operations and an addition. - -However, in multiple precision arithmetic negative numbers are not represented in the same way. Instead a sign flag is used to keep track of the -sign of the integer. As a result signed addition and subtraction are actually implemented as conditional usage of lower level addition or -subtraction algorithms with the sign fixed up appropriately. - -The lower level algorithms will add or subtract integers without regard to the sign flag. That is they will add or subtract the magnitude of -the integers respectively. - -\subsection{Low Level Addition} -An unsigned addition of multiple precision integers is performed with the same long-hand algorithm used to add decimal numbers. That is to add the -trailing digits first and propagate the resulting carry upwards. Since this is a lower level algorithm the name will have a ``s\_'' prefix. -Historically that convention stems from the MPI library where ``s\_'' stood for static functions that were hidden from the developer entirely. - -\newpage -\begin{figure}[!here] -\begin{center} -\begin{small} -\begin{tabular}{l} -\hline Algorithm \textbf{s\_mp\_add}. \\ -\textbf{Input}. Two mp\_ints $a$ and $b$ \\ -\textbf{Output}. The unsigned addition $c = \vert a \vert + \vert b \vert$. \\ -\hline \\ -1. if $a.used > b.used$ then \\ -\hspace{+3mm}1.1 $min \leftarrow b.used$ \\ -\hspace{+3mm}1.2 $max \leftarrow a.used$ \\ -\hspace{+3mm}1.3 $x \leftarrow a$ \\ -2. else \\ -\hspace{+3mm}2.1 $min \leftarrow a.used$ \\ -\hspace{+3mm}2.2 $max \leftarrow b.used$ \\ -\hspace{+3mm}2.3 $x \leftarrow b$ \\ -3. If $c.alloc < max + 1$ then grow $c$ to hold at least $max + 1$ digits (\textit{mp\_grow}) \\ -4. $oldused \leftarrow c.used$ \\ -5. $c.used \leftarrow max + 1$ \\ -6. $u \leftarrow 0$ \\ -7. for $n$ from $0$ to $min - 1$ do \\ -\hspace{+3mm}7.1 $c_n \leftarrow a_n + b_n + u$ \\ -\hspace{+3mm}7.2 $u \leftarrow c_n >> lg(\beta)$ \\ -\hspace{+3mm}7.3 $c_n \leftarrow c_n \mbox{ (mod }\beta\mbox{)}$ \\ -8. if $min \ne max$ then do \\ -\hspace{+3mm}8.1 for $n$ from $min$ to $max - 1$ do \\ -\hspace{+6mm}8.1.1 $c_n \leftarrow x_n + u$ \\ -\hspace{+6mm}8.1.2 $u \leftarrow c_n >> lg(\beta)$ \\ -\hspace{+6mm}8.1.3 $c_n \leftarrow c_n \mbox{ (mod }\beta\mbox{)}$ \\ -9. $c_{max} \leftarrow u$ \\ -10. if $olduse > max$ then \\ -\hspace{+3mm}10.1 for $n$ from $max + 1$ to $oldused - 1$ do \\ -\hspace{+6mm}10.1.1 $c_n \leftarrow 0$ \\ -11. Clamp excess digits in $c$. (\textit{mp\_clamp}) \\ -12. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Algorithm s\_mp\_add} -\end{figure} - -\textbf{Algorithm s\_mp\_add.} -This algorithm is loosely based on algorithm 14.7 of HAC \cite[pp. 594]{HAC} but has been extended to allow the inputs to have different magnitudes. -Coincidentally the description of algorithm A in Knuth \cite[pp. 266]{TAOCPV2} shares the same deficiency as the algorithm from \cite{HAC}. Even the -MIX pseudo machine code presented by Knuth \cite[pp. 266-267]{TAOCPV2} is incapable of handling inputs which are of different magnitudes. - -The first thing that has to be accomplished is to sort out which of the two inputs is the largest. The addition logic -will simply add all of the smallest input to the largest input and store that first part of the result in the -destination. Then it will apply a simpler addition loop to excess digits of the larger input. - -The first two steps will handle sorting the inputs such that $min$ and $max$ hold the digit counts of the two -inputs. The variable $x$ will be an mp\_int alias for the largest input or the second input $b$ if they have the -same number of digits. After the inputs are sorted the destination $c$ is grown as required to accomodate the sum -of the two inputs. The original \textbf{used} count of $c$ is copied and set to the new used count. - -At this point the first addition loop will go through as many digit positions that both inputs have. The carry -variable $\mu$ is set to zero outside the loop. Inside the loop an ``addition'' step requires three statements to produce -one digit of the summand. First -two digits from $a$ and $b$ are added together along with the carry $\mu$. The carry of this step is extracted and stored -in $\mu$ and finally the digit of the result $c_n$ is truncated within the range $0 \le c_n < \beta$. - -Now all of the digit positions that both inputs have in common have been exhausted. If $min \ne max$ then $x$ is an alias -for one of the inputs that has more digits. A simplified addition loop is then used to essentially copy the remaining digits -and the carry to the destination. - -The final carry is stored in $c_{max}$ and digits above $max$ upto $oldused$ are zeroed which completes the addition. - - -EXAM,bn_s_mp_add.c - -We first sort (lines @27,if@ to @35,}@) the inputs based on magnitude and determine the $min$ and $max$ variables. -Note that $x$ is a pointer to an mp\_int assigned to the largest input, in effect it is a local alias. Next we -grow the destination (@37,init@ to @42,}@) ensure that it can accomodate the result of the addition. - -Similar to the implementation of mp\_copy this function uses the braced code and local aliases coding style. The three aliases that are on -lines @56,tmpa@, @59,tmpb@ and @62,tmpc@ represent the two inputs and destination variables respectively. These aliases are used to ensure the -compiler does not have to dereference $a$, $b$ or $c$ (respectively) to access the digits of the respective mp\_int. - -The initial carry $u$ will be cleared (line @65,u = 0@), note that $u$ is of type mp\_digit which ensures type -compatibility within the implementation. The initial addition (line @66,for@ to @75,}@) adds digits from -both inputs until the smallest input runs out of digits. Similarly the conditional addition loop -(line @81,for@ to @90,}@) adds the remaining digits from the larger of the two inputs. The addition is finished -with the final carry being stored in $tmpc$ (line @94,tmpc++@). Note the ``++'' operator within the same expression. -After line @94,tmpc++@, $tmpc$ will point to the $c.used$'th digit of the mp\_int $c$. This is useful -for the next loop (line @97,for@ to @99,}@) which set any old upper digits to zero. - -\subsection{Low Level Subtraction} -The low level unsigned subtraction algorithm is very similar to the low level unsigned addition algorithm. The principle difference is that the -unsigned subtraction algorithm requires the result to be positive. That is when computing $a - b$ the condition $\vert a \vert \ge \vert b\vert$ must -be met for this algorithm to function properly. Keep in mind this low level algorithm is not meant to be used in higher level algorithms directly. -This algorithm as will be shown can be used to create functional signed addition and subtraction algorithms. - -MARK,GAMMA - -For this algorithm a new variable is required to make the description simpler. Recall from section 1.3.1 that a mp\_digit must be able to represent -the range $0 \le x < 2\beta$ for the algorithms to work correctly. However, it is allowable that a mp\_digit represent a larger range of values. For -this algorithm we will assume that the variable $\gamma$ represents the number of bits available in a -mp\_digit (\textit{this implies $2^{\gamma} > \beta$}). - -For example, the default for LibTomMath is to use a ``unsigned long'' for the mp\_digit ``type'' while $\beta = 2^{28}$. In ISO C an ``unsigned long'' -data type must be able to represent $0 \le x < 2^{32}$ meaning that in this case $\gamma \ge 32$. - -\newpage\begin{figure}[!here] -\begin{center} -\begin{small} -\begin{tabular}{l} -\hline Algorithm \textbf{s\_mp\_sub}. \\ -\textbf{Input}. Two mp\_ints $a$ and $b$ ($\vert a \vert \ge \vert b \vert$) \\ -\textbf{Output}. The unsigned subtraction $c = \vert a \vert - \vert b \vert$. \\ -\hline \\ -1. $min \leftarrow b.used$ \\ -2. $max \leftarrow a.used$ \\ -3. If $c.alloc < max$ then grow $c$ to hold at least $max$ digits. (\textit{mp\_grow}) \\ -4. $oldused \leftarrow c.used$ \\ -5. $c.used \leftarrow max$ \\ -6. $u \leftarrow 0$ \\ -7. for $n$ from $0$ to $min - 1$ do \\ -\hspace{3mm}7.1 $c_n \leftarrow a_n - b_n - u$ \\ -\hspace{3mm}7.2 $u \leftarrow c_n >> (\gamma - 1)$ \\ -\hspace{3mm}7.3 $c_n \leftarrow c_n \mbox{ (mod }\beta\mbox{)}$ \\ -8. if $min < max$ then do \\ -\hspace{3mm}8.1 for $n$ from $min$ to $max - 1$ do \\ -\hspace{6mm}8.1.1 $c_n \leftarrow a_n - u$ \\ -\hspace{6mm}8.1.2 $u \leftarrow c_n >> (\gamma - 1)$ \\ -\hspace{6mm}8.1.3 $c_n \leftarrow c_n \mbox{ (mod }\beta\mbox{)}$ \\ -9. if $oldused > max$ then do \\ -\hspace{3mm}9.1 for $n$ from $max$ to $oldused - 1$ do \\ -\hspace{6mm}9.1.1 $c_n \leftarrow 0$ \\ -10. Clamp excess digits of $c$. (\textit{mp\_clamp}). \\ -11. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Algorithm s\_mp\_sub} -\end{figure} - -\textbf{Algorithm s\_mp\_sub.} -This algorithm performs the unsigned subtraction of two mp\_int variables under the restriction that the result must be positive. That is when -passing variables $a$ and $b$ the condition that $\vert a \vert \ge \vert b \vert$ must be met for the algorithm to function correctly. This -algorithm is loosely based on algorithm 14.9 \cite[pp. 595]{HAC} and is similar to algorithm S in \cite[pp. 267]{TAOCPV2} as well. As was the case -of the algorithm s\_mp\_add both other references lack discussion concerning various practical details such as when the inputs differ in magnitude. - -The initial sorting of the inputs is trivial in this algorithm since $a$ is guaranteed to have at least the same magnitude of $b$. Steps 1 and 2 -set the $min$ and $max$ variables. Unlike the addition routine there is guaranteed to be no carry which means that the final result can be at -most $max$ digits in length as opposed to $max + 1$. Similar to the addition algorithm the \textbf{used} count of $c$ is copied locally and -set to the maximal count for the operation. - -The subtraction loop that begins on step seven is essentially the same as the addition loop of algorithm s\_mp\_add except single precision -subtraction is used instead. Note the use of the $\gamma$ variable to extract the carry (\textit{also known as the borrow}) within the subtraction -loops. Under the assumption that two's complement single precision arithmetic is used this will successfully extract the desired carry. - -For example, consider subtracting $0101_2$ from $0100_2$ where $\gamma = 4$ and $\beta = 2$. The least significant bit will force a carry upwards to -the third bit which will be set to zero after the borrow. After the very first bit has been subtracted $4 - 1 \equiv 0011_2$ will remain, When the -third bit of $0101_2$ is subtracted from the result it will cause another carry. In this case though the carry will be forced to propagate all the -way to the most significant bit. - -Recall that $\beta < 2^{\gamma}$. This means that if a carry does occur just before the $lg(\beta)$'th bit it will propagate all the way to the most -significant bit. Thus, the high order bits of the mp\_digit that are not part of the actual digit will either be all zero, or all one. All that -is needed is a single zero or one bit for the carry. Therefore a single logical shift right by $\gamma - 1$ positions is sufficient to extract the -carry. This method of carry extraction may seem awkward but the reason for it becomes apparent when the implementation is discussed. - -If $b$ has a smaller magnitude than $a$ then step 9 will force the carry and copy operation to propagate through the larger input $a$ into $c$. Step -10 will ensure that any leading digits of $c$ above the $max$'th position are zeroed. - -EXAM,bn_s_mp_sub.c - -Like low level addition we ``sort'' the inputs. Except in this case the sorting is hardcoded -(lines @24,min@ and @25,max@). In reality the $min$ and $max$ variables are only aliases and are only -used to make the source code easier to read. Again the pointer alias optimization is used -within this algorithm. The aliases $tmpa$, $tmpb$ and $tmpc$ are initialized -(lines @42,tmpa@, @43,tmpb@ and @44,tmpc@) for $a$, $b$ and $c$ respectively. - -The first subtraction loop (lines @47,u = 0@ through @61,}@) subtract digits from both inputs until the smaller of -the two inputs has been exhausted. As remarked earlier there is an implementation reason for using the ``awkward'' -method of extracting the carry (line @57, >>@). The traditional method for extracting the carry would be to shift -by $lg(\beta)$ positions and logically AND the least significant bit. The AND operation is required because all of -the bits above the $\lg(\beta)$'th bit will be set to one after a carry occurs from subtraction. This carry -extraction requires two relatively cheap operations to extract the carry. The other method is to simply shift the -most significant bit to the least significant bit thus extracting the carry with a single cheap operation. This -optimization only works on twos compliment machines which is a safe assumption to make. - -If $a$ has a larger magnitude than $b$ an additional loop (lines @64,for@ through @73,}@) is required to propagate -the carry through $a$ and copy the result to $c$. - -\subsection{High Level Addition} -Now that both lower level addition and subtraction algorithms have been established an effective high level signed addition algorithm can be -established. This high level addition algorithm will be what other algorithms and developers will use to perform addition of mp\_int data -types. - -Recall from section 5.2 that an mp\_int represents an integer with an unsigned mantissa (\textit{the array of digits}) and a \textbf{sign} -flag. A high level addition is actually performed as a series of eight separate cases which can be optimized down to three unique cases. - -\begin{figure}[!here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_add}. \\ -\textbf{Input}. Two mp\_ints $a$ and $b$ \\ -\textbf{Output}. The signed addition $c = a + b$. \\ -\hline \\ -1. if $a.sign = b.sign$ then do \\ -\hspace{3mm}1.1 $c.sign \leftarrow a.sign$ \\ -\hspace{3mm}1.2 $c \leftarrow \vert a \vert + \vert b \vert$ (\textit{s\_mp\_add})\\ -2. else do \\ -\hspace{3mm}2.1 if $\vert a \vert < \vert b \vert$ then do (\textit{mp\_cmp\_mag}) \\ -\hspace{6mm}2.1.1 $c.sign \leftarrow b.sign$ \\ -\hspace{6mm}2.1.2 $c \leftarrow \vert b \vert - \vert a \vert$ (\textit{s\_mp\_sub}) \\ -\hspace{3mm}2.2 else do \\ -\hspace{6mm}2.2.1 $c.sign \leftarrow a.sign$ \\ -\hspace{6mm}2.2.2 $c \leftarrow \vert a \vert - \vert b \vert$ \\ -3. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_add} -\end{figure} - -\textbf{Algorithm mp\_add.} -This algorithm performs the signed addition of two mp\_int variables. There is no reference algorithm to draw upon from -either \cite{TAOCPV2} or \cite{HAC} since they both only provide unsigned operations. The algorithm is fairly -straightforward but restricted since subtraction can only produce positive results. - -\begin{figure}[here] -\begin{small} -\begin{center} -\begin{tabular}{|c|c|c|c|c|} -\hline \textbf{Sign of $a$} & \textbf{Sign of $b$} & \textbf{$\vert a \vert > \vert b \vert $} & \textbf{Unsigned Operation} & \textbf{Result Sign Flag} \\ -\hline $+$ & $+$ & Yes & $c = a + b$ & $a.sign$ \\ -\hline $+$ & $+$ & No & $c = a + b$ & $a.sign$ \\ -\hline $-$ & $-$ & Yes & $c = a + b$ & $a.sign$ \\ -\hline $-$ & $-$ & No & $c = a + b$ & $a.sign$ \\ -\hline &&&&\\ - -\hline $+$ & $-$ & No & $c = b - a$ & $b.sign$ \\ -\hline $-$ & $+$ & No & $c = b - a$ & $b.sign$ \\ - -\hline &&&&\\ - -\hline $+$ & $-$ & Yes & $c = a - b$ & $a.sign$ \\ -\hline $-$ & $+$ & Yes & $c = a - b$ & $a.sign$ \\ - -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Addition Guide Chart} -\label{fig:AddChart} -\end{figure} - -Figure~\ref{fig:AddChart} lists all of the eight possible input combinations and is sorted to show that only three -specific cases need to be handled. The return code of the unsigned operations at step 1.2, 2.1.2 and 2.2.2 are -forwarded to step three to check for errors. This simplifies the description of the algorithm considerably and best -follows how the implementation actually was achieved. - -Also note how the \textbf{sign} is set before the unsigned addition or subtraction is performed. Recall from the descriptions of algorithms -s\_mp\_add and s\_mp\_sub that the mp\_clamp function is used at the end to trim excess digits. The mp\_clamp algorithm will set the \textbf{sign} -to \textbf{MP\_ZPOS} when the \textbf{used} digit count reaches zero. - -For example, consider performing $-a + a$ with algorithm mp\_add. By the description of the algorithm the sign is set to \textbf{MP\_NEG} which would -produce a result of $-0$. However, since the sign is set first then the unsigned addition is performed the subsequent usage of algorithm mp\_clamp -within algorithm s\_mp\_add will force $-0$ to become $0$. - -EXAM,bn_mp_add.c - -The source code follows the algorithm fairly closely. The most notable new source code addition is the usage of the $res$ integer variable which -is used to pass result of the unsigned operations forward. Unlike in the algorithm, the variable $res$ is merely returned as is without -explicitly checking it and returning the constant \textbf{MP\_OKAY}. The observation is this algorithm will succeed or fail only if the lower -level functions do so. Returning their return code is sufficient. - -\subsection{High Level Subtraction} -The high level signed subtraction algorithm is essentially the same as the high level signed addition algorithm. - -\newpage\begin{figure}[!here] -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_sub}. \\ -\textbf{Input}. Two mp\_ints $a$ and $b$ \\ -\textbf{Output}. The signed subtraction $c = a - b$. \\ -\hline \\ -1. if $a.sign \ne b.sign$ then do \\ -\hspace{3mm}1.1 $c.sign \leftarrow a.sign$ \\ -\hspace{3mm}1.2 $c \leftarrow \vert a \vert + \vert b \vert$ (\textit{s\_mp\_add}) \\ -2. else do \\ -\hspace{3mm}2.1 if $\vert a \vert \ge \vert b \vert$ then do (\textit{mp\_cmp\_mag}) \\ -\hspace{6mm}2.1.1 $c.sign \leftarrow a.sign$ \\ -\hspace{6mm}2.1.2 $c \leftarrow \vert a \vert - \vert b \vert$ (\textit{s\_mp\_sub}) \\ -\hspace{3mm}2.2 else do \\ -\hspace{6mm}2.2.1 $c.sign \leftarrow \left \lbrace \begin{array}{ll} - MP\_ZPOS & \mbox{if }a.sign = MP\_NEG \\ - MP\_NEG & \mbox{otherwise} \\ - \end{array} \right .$ \\ -\hspace{6mm}2.2.2 $c \leftarrow \vert b \vert - \vert a \vert$ \\ -3. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\caption{Algorithm mp\_sub} -\end{figure} - -\textbf{Algorithm mp\_sub.} -This algorithm performs the signed subtraction of two inputs. Similar to algorithm mp\_add there is no reference in either \cite{TAOCPV2} or -\cite{HAC}. Also this algorithm is restricted by algorithm s\_mp\_sub. Chart \ref{fig:SubChart} lists the eight possible inputs and -the operations required. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{|c|c|c|c|c|} -\hline \textbf{Sign of $a$} & \textbf{Sign of $b$} & \textbf{$\vert a \vert \ge \vert b \vert $} & \textbf{Unsigned Operation} & \textbf{Result Sign Flag} \\ -\hline $+$ & $-$ & Yes & $c = a + b$ & $a.sign$ \\ -\hline $+$ & $-$ & No & $c = a + b$ & $a.sign$ \\ -\hline $-$ & $+$ & Yes & $c = a + b$ & $a.sign$ \\ -\hline $-$ & $+$ & No & $c = a + b$ & $a.sign$ \\ -\hline &&&& \\ -\hline $+$ & $+$ & Yes & $c = a - b$ & $a.sign$ \\ -\hline $-$ & $-$ & Yes & $c = a - b$ & $a.sign$ \\ -\hline &&&& \\ -\hline $+$ & $+$ & No & $c = b - a$ & $\mbox{opposite of }a.sign$ \\ -\hline $-$ & $-$ & No & $c = b - a$ & $\mbox{opposite of }a.sign$ \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Subtraction Guide Chart} -\label{fig:SubChart} -\end{figure} - -Similar to the case of algorithm mp\_add the \textbf{sign} is set first before the unsigned addition or subtraction. That is to prevent the -algorithm from producing $-a - -a = -0$ as a result. - -EXAM,bn_mp_sub.c - -Much like the implementation of algorithm mp\_add the variable $res$ is used to catch the return code of the unsigned addition or subtraction operations -and forward it to the end of the function. On line @38, != MP_LT@ the ``not equal to'' \textbf{MP\_LT} expression is used to emulate a -``greater than or equal to'' comparison. - -\section{Bit and Digit Shifting} -MARK,POLY -It is quite common to think of a multiple precision integer as a polynomial in $x$, that is $y = f(\beta)$ where $f(x) = \sum_{i=0}^{n-1} a_i x^i$. -This notation arises within discussion of Montgomery and Diminished Radix Reduction as well as Karatsuba multiplication and squaring. - -In order to facilitate operations on polynomials in $x$ as above a series of simple ``digit'' algorithms have to be established. That is to shift -the digits left or right as well to shift individual bits of the digits left and right. It is important to note that not all ``shift'' operations -are on radix-$\beta$ digits. - -\subsection{Multiplication by Two} - -In a binary system where the radix is a power of two multiplication by two not only arises often in other algorithms it is a fairly efficient -operation to perform. A single precision logical shift left is sufficient to multiply a single digit by two. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_mul\_2}. \\ -\textbf{Input}. One mp\_int $a$ \\ -\textbf{Output}. $b = 2a$. \\ -\hline \\ -1. If $b.alloc < a.used + 1$ then grow $b$ to hold $a.used + 1$ digits. (\textit{mp\_grow}) \\ -2. $oldused \leftarrow b.used$ \\ -3. $b.used \leftarrow a.used$ \\ -4. $r \leftarrow 0$ \\ -5. for $n$ from 0 to $a.used - 1$ do \\ -\hspace{3mm}5.1 $rr \leftarrow a_n >> (lg(\beta) - 1)$ \\ -\hspace{3mm}5.2 $b_n \leftarrow (a_n << 1) + r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}5.3 $r \leftarrow rr$ \\ -6. If $r \ne 0$ then do \\ -\hspace{3mm}6.1 $b_{n + 1} \leftarrow r$ \\ -\hspace{3mm}6.2 $b.used \leftarrow b.used + 1$ \\ -7. If $b.used < oldused - 1$ then do \\ -\hspace{3mm}7.1 for $n$ from $b.used$ to $oldused - 1$ do \\ -\hspace{6mm}7.1.1 $b_n \leftarrow 0$ \\ -8. $b.sign \leftarrow a.sign$ \\ -9. Return(\textit{MP\_OKAY}).\\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_mul\_2} -\end{figure} - -\textbf{Algorithm mp\_mul\_2.} -This algorithm will quickly multiply a mp\_int by two provided $\beta$ is a power of two. Neither \cite{TAOCPV2} nor \cite{HAC} describe such -an algorithm despite the fact it arises often in other algorithms. The algorithm is setup much like the lower level algorithm s\_mp\_add since -it is for all intents and purposes equivalent to the operation $b = \vert a \vert + \vert a \vert$. - -Step 1 and 2 grow the input as required to accomodate the maximum number of \textbf{used} digits in the result. The initial \textbf{used} count -is set to $a.used$ at step 4. Only if there is a final carry will the \textbf{used} count require adjustment. - -Step 6 is an optimization implementation of the addition loop for this specific case. That is since the two values being added together -are the same there is no need to perform two reads from the digits of $a$. Step 6.1 performs a single precision shift on the current digit $a_n$ to -obtain what will be the carry for the next iteration. Step 6.2 calculates the $n$'th digit of the result as single precision shift of $a_n$ plus -the previous carry. Recall from ~SHIFTS~ that $a_n << 1$ is equivalent to $a_n \cdot 2$. An iteration of the addition loop is finished with -forwarding the carry to the next iteration. - -Step 7 takes care of any final carry by setting the $a.used$'th digit of the result to the carry and augmenting the \textbf{used} count of $b$. -Step 8 clears any leading digits of $b$ in case it originally had a larger magnitude than $a$. - -EXAM,bn_mp_mul_2.c - -This implementation is essentially an optimized implementation of s\_mp\_add for the case of doubling an input. The only noteworthy difference -is the use of the logical shift operator on line @52,<<@ to perform a single precision doubling. - -\subsection{Division by Two} -A division by two can just as easily be accomplished with a logical shift right as multiplication by two can be with a logical shift left. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_div\_2}. \\ -\textbf{Input}. One mp\_int $a$ \\ -\textbf{Output}. $b = a/2$. \\ -\hline \\ -1. If $b.alloc < a.used$ then grow $b$ to hold $a.used$ digits. (\textit{mp\_grow}) \\ -2. If the reallocation failed return(\textit{MP\_MEM}). \\ -3. $oldused \leftarrow b.used$ \\ -4. $b.used \leftarrow a.used$ \\ -5. $r \leftarrow 0$ \\ -6. for $n$ from $b.used - 1$ to $0$ do \\ -\hspace{3mm}6.1 $rr \leftarrow a_n \mbox{ (mod }2\mbox{)}$\\ -\hspace{3mm}6.2 $b_n \leftarrow (a_n >> 1) + (r << (lg(\beta) - 1)) \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}6.3 $r \leftarrow rr$ \\ -7. If $b.used < oldused - 1$ then do \\ -\hspace{3mm}7.1 for $n$ from $b.used$ to $oldused - 1$ do \\ -\hspace{6mm}7.1.1 $b_n \leftarrow 0$ \\ -8. $b.sign \leftarrow a.sign$ \\ -9. Clamp excess digits of $b$. (\textit{mp\_clamp}) \\ -10. Return(\textit{MP\_OKAY}).\\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_div\_2} -\end{figure} - -\textbf{Algorithm mp\_div\_2.} -This algorithm will divide an mp\_int by two using logical shifts to the right. Like mp\_mul\_2 it uses a modified low level addition -core as the basis of the algorithm. Unlike mp\_mul\_2 the shift operations work from the leading digit to the trailing digit. The algorithm -could be written to work from the trailing digit to the leading digit however, it would have to stop one short of $a.used - 1$ digits to prevent -reading past the end of the array of digits. - -Essentially the loop at step 6 is similar to that of mp\_mul\_2 except the logical shifts go in the opposite direction and the carry is at the -least significant bit not the most significant bit. - -EXAM,bn_mp_div_2.c - -\section{Polynomial Basis Operations} -Recall from ~POLY~ that any integer can be represented as a polynomial in $x$ as $y = f(\beta)$. Such a representation is also known as -the polynomial basis \cite[pp. 48]{ROSE}. Given such a notation a multiplication or division by $x$ amounts to shifting whole digits a single -place. The need for such operations arises in several other higher level algorithms such as Barrett and Montgomery reduction, integer -division and Karatsuba multiplication. - -Converting from an array of digits to polynomial basis is very simple. Consider the integer $y \equiv (a_2, a_1, a_0)_{\beta}$ and recall that -$y = \sum_{i=0}^{2} a_i \beta^i$. Simply replace $\beta$ with $x$ and the expression is in polynomial basis. For example, $f(x) = 8x + 9$ is the -polynomial basis representation for $89$ using radix ten. That is, $f(10) = 8(10) + 9 = 89$. - -\subsection{Multiplication by $x$} - -Given a polynomial in $x$ such as $f(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_0$ multiplying by $x$ amounts to shifting the coefficients up one -degree. In this case $f(x) \cdot x = a_n x^{n+1} + a_{n-1} x^n + ... + a_0 x$. From a scalar basis point of view multiplying by $x$ is equivalent to -multiplying by the integer $\beta$. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_lshd}. \\ -\textbf{Input}. One mp\_int $a$ and an integer $b$ \\ -\textbf{Output}. $a \leftarrow a \cdot \beta^b$ (equivalent to multiplication by $x^b$). \\ -\hline \\ -1. If $b \le 0$ then return(\textit{MP\_OKAY}). \\ -2. If $a.alloc < a.used + b$ then grow $a$ to at least $a.used + b$ digits. (\textit{mp\_grow}). \\ -3. If the reallocation failed return(\textit{MP\_MEM}). \\ -4. $a.used \leftarrow a.used + b$ \\ -5. $i \leftarrow a.used - 1$ \\ -6. $j \leftarrow a.used - 1 - b$ \\ -7. for $n$ from $a.used - 1$ to $b$ do \\ -\hspace{3mm}7.1 $a_{i} \leftarrow a_{j}$ \\ -\hspace{3mm}7.2 $i \leftarrow i - 1$ \\ -\hspace{3mm}7.3 $j \leftarrow j - 1$ \\ -8. for $n$ from 0 to $b - 1$ do \\ -\hspace{3mm}8.1 $a_n \leftarrow 0$ \\ -9. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_lshd} -\end{figure} - -\textbf{Algorithm mp\_lshd.} -This algorithm multiplies an mp\_int by the $b$'th power of $x$. This is equivalent to multiplying by $\beta^b$. The algorithm differs -from the other algorithms presented so far as it performs the operation in place instead storing the result in a separate location. The -motivation behind this change is due to the way this function is typically used. Algorithms such as mp\_add store the result in an optionally -different third mp\_int because the original inputs are often still required. Algorithm mp\_lshd (\textit{and similarly algorithm mp\_rshd}) is -typically used on values where the original value is no longer required. The algorithm will return success immediately if -$b \le 0$ since the rest of algorithm is only valid when $b > 0$. - -First the destination $a$ is grown as required to accomodate the result. The counters $i$ and $j$ are used to form a \textit{sliding window} over -the digits of $a$ of length $b$. The head of the sliding window is at $i$ (\textit{the leading digit}) and the tail at $j$ (\textit{the trailing digit}). -The loop on step 7 copies the digit from the tail to the head. In each iteration the window is moved down one digit. The last loop on -step 8 sets the lower $b$ digits to zero. - -\newpage -FIGU,sliding_window,Sliding Window Movement - -EXAM,bn_mp_lshd.c - -The if statement (line @24,if@) ensures that the $b$ variable is greater than zero since we do not interpret negative -shift counts properly. The \textbf{used} count is incremented by $b$ before the copy loop begins. This elminates -the need for an additional variable in the for loop. The variable $top$ (line @42,top@) is an alias -for the leading digit while $bottom$ (line @45,bottom@) is an alias for the trailing edge. The aliases form a -window of exactly $b$ digits over the input. - -\subsection{Division by $x$} - -Division by powers of $x$ is easily achieved by shifting the digits right and removing any that will end up to the right of the zero'th digit. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_rshd}. \\ -\textbf{Input}. One mp\_int $a$ and an integer $b$ \\ -\textbf{Output}. $a \leftarrow a / \beta^b$ (Divide by $x^b$). \\ -\hline \\ -1. If $b \le 0$ then return. \\ -2. If $a.used \le b$ then do \\ -\hspace{3mm}2.1 Zero $a$. (\textit{mp\_zero}). \\ -\hspace{3mm}2.2 Return. \\ -3. $i \leftarrow 0$ \\ -4. $j \leftarrow b$ \\ -5. for $n$ from 0 to $a.used - b - 1$ do \\ -\hspace{3mm}5.1 $a_i \leftarrow a_j$ \\ -\hspace{3mm}5.2 $i \leftarrow i + 1$ \\ -\hspace{3mm}5.3 $j \leftarrow j + 1$ \\ -6. for $n$ from $a.used - b$ to $a.used - 1$ do \\ -\hspace{3mm}6.1 $a_n \leftarrow 0$ \\ -7. $a.used \leftarrow a.used - b$ \\ -8. Return. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_rshd} -\end{figure} - -\textbf{Algorithm mp\_rshd.} -This algorithm divides the input in place by the $b$'th power of $x$. It is analogous to dividing by a $\beta^b$ but much quicker since -it does not require single precision division. This algorithm does not actually return an error code as it cannot fail. - -If the input $b$ is less than one the algorithm quickly returns without performing any work. If the \textbf{used} count is less than or equal -to the shift count $b$ then it will simply zero the input and return. - -After the trivial cases of inputs have been handled the sliding window is setup. Much like the case of algorithm mp\_lshd a sliding window that -is $b$ digits wide is used to copy the digits. Unlike mp\_lshd the window slides in the opposite direction from the trailing to the leading digit. -Also the digits are copied from the leading to the trailing edge. - -Once the window copy is complete the upper digits must be zeroed and the \textbf{used} count decremented. - -EXAM,bn_mp_rshd.c - -The only noteworthy element of this routine is the lack of a return type since it cannot fail. Like mp\_lshd() we -form a sliding window except we copy in the other direction. After the window (line @59,for (;@) we then zero -the upper digits of the input to make sure the result is correct. - -\section{Powers of Two} - -Now that algorithms for moving single bits as well as whole digits exist algorithms for moving the ``in between'' distances are required. For -example, to quickly multiply by $2^k$ for any $k$ without using a full multiplier algorithm would prove useful. Instead of performing single -shifts $k$ times to achieve a multiplication by $2^{\pm k}$ a mixture of whole digit shifting and partial digit shifting is employed. - -\subsection{Multiplication by Power of Two} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_mul\_2d}. \\ -\textbf{Input}. One mp\_int $a$ and an integer $b$ \\ -\textbf{Output}. $c \leftarrow a \cdot 2^b$. \\ -\hline \\ -1. $c \leftarrow a$. (\textit{mp\_copy}) \\ -2. If $c.alloc < c.used + \lfloor b / lg(\beta) \rfloor + 2$ then grow $c$ accordingly. \\ -3. If the reallocation failed return(\textit{MP\_MEM}). \\ -4. If $b \ge lg(\beta)$ then \\ -\hspace{3mm}4.1 $c \leftarrow c \cdot \beta^{\lfloor b / lg(\beta) \rfloor}$ (\textit{mp\_lshd}). \\ -\hspace{3mm}4.2 If step 4.1 failed return(\textit{MP\_MEM}). \\ -5. $d \leftarrow b \mbox{ (mod }lg(\beta)\mbox{)}$ \\ -6. If $d \ne 0$ then do \\ -\hspace{3mm}6.1 $mask \leftarrow 2^d$ \\ -\hspace{3mm}6.2 $r \leftarrow 0$ \\ -\hspace{3mm}6.3 for $n$ from $0$ to $c.used - 1$ do \\ -\hspace{6mm}6.3.1 $rr \leftarrow c_n >> (lg(\beta) - d) \mbox{ (mod }mask\mbox{)}$ \\ -\hspace{6mm}6.3.2 $c_n \leftarrow (c_n << d) + r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{6mm}6.3.3 $r \leftarrow rr$ \\ -\hspace{3mm}6.4 If $r > 0$ then do \\ -\hspace{6mm}6.4.1 $c_{c.used} \leftarrow r$ \\ -\hspace{6mm}6.4.2 $c.used \leftarrow c.used + 1$ \\ -7. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_mul\_2d} -\end{figure} - -\textbf{Algorithm mp\_mul\_2d.} -This algorithm multiplies $a$ by $2^b$ and stores the result in $c$. The algorithm uses algorithm mp\_lshd and a derivative of algorithm mp\_mul\_2 to -quickly compute the product. - -First the algorithm will multiply $a$ by $x^{\lfloor b / lg(\beta) \rfloor}$ which will ensure that the remainder multiplicand is less than -$\beta$. For example, if $b = 37$ and $\beta = 2^{28}$ then this step will multiply by $x$ leaving a multiplication by $2^{37 - 28} = 2^{9}$ -left. - -After the digits have been shifted appropriately at most $lg(\beta) - 1$ shifts are left to perform. Step 5 calculates the number of remaining shifts -required. If it is non-zero a modified shift loop is used to calculate the remaining product. -Essentially the loop is a generic version of algorithm mp\_mul\_2 designed to handle any shift count in the range $1 \le x < lg(\beta)$. The $mask$ -variable is used to extract the upper $d$ bits to form the carry for the next iteration. - -This algorithm is loosely measured as a $O(2n)$ algorithm which means that if the input is $n$-digits that it takes $2n$ ``time'' to -complete. It is possible to optimize this algorithm down to a $O(n)$ algorithm at a cost of making the algorithm slightly harder to follow. - -EXAM,bn_mp_mul_2d.c - -The shifting is performed in--place which means the first step (line @24,a != c@) is to copy the input to the -destination. We avoid calling mp\_copy() by making sure the mp\_ints are different. The destination then -has to be grown (line @31,grow@) to accomodate the result. - -If the shift count $b$ is larger than $lg(\beta)$ then a call to mp\_lshd() is used to handle all of the multiples -of $lg(\beta)$. Leaving only a remaining shift of $lg(\beta) - 1$ or fewer bits left. Inside the actual shift -loop (lines @45,if@ to @76,}@) we make use of pre--computed values $shift$ and $mask$. These are used to -extract the carry bit(s) to pass into the next iteration of the loop. The $r$ and $rr$ variables form a -chain between consecutive iterations to propagate the carry. - -\subsection{Division by Power of Two} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_div\_2d}. \\ -\textbf{Input}. One mp\_int $a$ and an integer $b$ \\ -\textbf{Output}. $c \leftarrow \lfloor a / 2^b \rfloor, d \leftarrow a \mbox{ (mod }2^b\mbox{)}$. \\ -\hline \\ -1. If $b \le 0$ then do \\ -\hspace{3mm}1.1 $c \leftarrow a$ (\textit{mp\_copy}) \\ -\hspace{3mm}1.2 $d \leftarrow 0$ (\textit{mp\_zero}) \\ -\hspace{3mm}1.3 Return(\textit{MP\_OKAY}). \\ -2. $c \leftarrow a$ \\ -3. $d \leftarrow a \mbox{ (mod }2^b\mbox{)}$ (\textit{mp\_mod\_2d}) \\ -4. If $b \ge lg(\beta)$ then do \\ -\hspace{3mm}4.1 $c \leftarrow \lfloor c/\beta^{\lfloor b/lg(\beta) \rfloor} \rfloor$ (\textit{mp\_rshd}). \\ -5. $k \leftarrow b \mbox{ (mod }lg(\beta)\mbox{)}$ \\ -6. If $k \ne 0$ then do \\ -\hspace{3mm}6.1 $mask \leftarrow 2^k$ \\ -\hspace{3mm}6.2 $r \leftarrow 0$ \\ -\hspace{3mm}6.3 for $n$ from $c.used - 1$ to $0$ do \\ -\hspace{6mm}6.3.1 $rr \leftarrow c_n \mbox{ (mod }mask\mbox{)}$ \\ -\hspace{6mm}6.3.2 $c_n \leftarrow (c_n >> k) + (r << (lg(\beta) - k))$ \\ -\hspace{6mm}6.3.3 $r \leftarrow rr$ \\ -7. Clamp excess digits of $c$. (\textit{mp\_clamp}) \\ -8. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_div\_2d} -\end{figure} - -\textbf{Algorithm mp\_div\_2d.} -This algorithm will divide an input $a$ by $2^b$ and produce the quotient and remainder. The algorithm is designed much like algorithm -mp\_mul\_2d by first using whole digit shifts then single precision shifts. This algorithm will also produce the remainder of the division -by using algorithm mp\_mod\_2d. - -EXAM,bn_mp_div_2d.c - -The implementation of algorithm mp\_div\_2d is slightly different than the algorithm specifies. The remainder $d$ may be optionally -ignored by passing \textbf{NULL} as the pointer to the mp\_int variable. The temporary mp\_int variable $t$ is used to hold the -result of the remainder operation until the end. This allows $d$ and $a$ to represent the same mp\_int without modifying $a$ before -the quotient is obtained. - -The remainder of the source code is essentially the same as the source code for mp\_mul\_2d. The only significant difference is -the direction of the shifts. - -\subsection{Remainder of Division by Power of Two} - -The last algorithm in the series of polynomial basis power of two algorithms is calculating the remainder of division by $2^b$. This -algorithm benefits from the fact that in twos complement arithmetic $a \mbox{ (mod }2^b\mbox{)}$ is the same as $a$ AND $2^b - 1$. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_mod\_2d}. \\ -\textbf{Input}. One mp\_int $a$ and an integer $b$ \\ -\textbf{Output}. $c \leftarrow a \mbox{ (mod }2^b\mbox{)}$. \\ -\hline \\ -1. If $b \le 0$ then do \\ -\hspace{3mm}1.1 $c \leftarrow 0$ (\textit{mp\_zero}) \\ -\hspace{3mm}1.2 Return(\textit{MP\_OKAY}). \\ -2. If $b > a.used \cdot lg(\beta)$ then do \\ -\hspace{3mm}2.1 $c \leftarrow a$ (\textit{mp\_copy}) \\ -\hspace{3mm}2.2 Return the result of step 2.1. \\ -3. $c \leftarrow a$ \\ -4. If step 3 failed return(\textit{MP\_MEM}). \\ -5. for $n$ from $\lceil b / lg(\beta) \rceil$ to $c.used$ do \\ -\hspace{3mm}5.1 $c_n \leftarrow 0$ \\ -6. $k \leftarrow b \mbox{ (mod }lg(\beta)\mbox{)}$ \\ -7. $c_{\lfloor b / lg(\beta) \rfloor} \leftarrow c_{\lfloor b / lg(\beta) \rfloor} \mbox{ (mod }2^{k}\mbox{)}$. \\ -8. Clamp excess digits of $c$. (\textit{mp\_clamp}) \\ -9. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_mod\_2d} -\end{figure} - -\textbf{Algorithm mp\_mod\_2d.} -This algorithm will quickly calculate the value of $a \mbox{ (mod }2^b\mbox{)}$. First if $b$ is less than or equal to zero the -result is set to zero. If $b$ is greater than the number of bits in $a$ then it simply copies $a$ to $c$ and returns. Otherwise, $a$ -is copied to $b$, leading digits are removed and the remaining leading digit is trimed to the exact bit count. - -EXAM,bn_mp_mod_2d.c - -We first avoid cases of $b \le 0$ by simply mp\_zero()'ing the destination in such cases. Next if $2^b$ is larger -than the input we just mp\_copy() the input and return right away. After this point we know we must actually -perform some work to produce the remainder. - -Recalling that reducing modulo $2^k$ and a binary ``and'' with $2^k - 1$ are numerically equivalent we can quickly reduce -the number. First we zero any digits above the last digit in $2^b$ (line @41,for@). Next we reduce the -leading digit of both (line @45,&=@) and then mp\_clamp(). - -\section*{Exercises} -\begin{tabular}{cl} -$\left [ 3 \right ] $ & Devise an algorithm that performs $a \cdot 2^b$ for generic values of $b$ \\ - & in $O(n)$ time. \\ - &\\ -$\left [ 3 \right ] $ & Devise an efficient algorithm to multiply by small low hamming \\ - & weight values such as $3$, $5$ and $9$. Extend it to handle all values \\ - & upto $64$ with a hamming weight less than three. \\ - &\\ -$\left [ 2 \right ] $ & Modify the preceding algorithm to handle values of the form \\ - & $2^k - 1$ as well. \\ - &\\ -$\left [ 3 \right ] $ & Using only algorithms mp\_mul\_2, mp\_div\_2 and mp\_add create an \\ - & algorithm to multiply two integers in roughly $O(2n^2)$ time for \\ - & any $n$-bit input. Note that the time of addition is ignored in the \\ - & calculation. \\ - & \\ -$\left [ 5 \right ] $ & Improve the previous algorithm to have a working time of at most \\ - & $O \left (2^{(k-1)}n + \left ({2n^2 \over k} \right ) \right )$ for an appropriate choice of $k$. Again ignore \\ - & the cost of addition. \\ - & \\ -$\left [ 2 \right ] $ & Devise a chart to find optimal values of $k$ for the previous problem \\ - & for $n = 64 \ldots 1024$ in steps of $64$. \\ - & \\ -$\left [ 2 \right ] $ & Using only algorithms mp\_abs and mp\_sub devise another method for \\ - & calculating the result of a signed comparison. \\ - & -\end{tabular} - -\chapter{Multiplication and Squaring} -\section{The Multipliers} -For most number theoretic problems including certain public key cryptographic algorithms, the ``multipliers'' form the most important subset of -algorithms of any multiple precision integer package. The set of multiplier algorithms include integer multiplication, squaring and modular reduction -where in each of the algorithms single precision multiplication is the dominant operation performed. This chapter will discuss integer multiplication -and squaring, leaving modular reductions for the subsequent chapter. - -The importance of the multiplier algorithms is for the most part driven by the fact that certain popular public key algorithms are based on modular -exponentiation, that is computing $d \equiv a^b \mbox{ (mod }c\mbox{)}$ for some arbitrary choice of $a$, $b$, $c$ and $d$. During a modular -exponentiation the majority\footnote{Roughly speaking a modular exponentiation will spend about 40\% of the time performing modular reductions, -35\% of the time performing squaring and 25\% of the time performing multiplications.} of the processor time is spent performing single precision -multiplications. - -For centuries general purpose multiplication has required a lengthly $O(n^2)$ process, whereby each digit of one multiplicand has to be multiplied -against every digit of the other multiplicand. Traditional long-hand multiplication is based on this process; while the techniques can differ the -overall algorithm used is essentially the same. Only ``recently'' have faster algorithms been studied. First Karatsuba multiplication was discovered in -1962. This algorithm can multiply two numbers with considerably fewer single precision multiplications when compared to the long-hand approach. -This technique led to the discovery of polynomial basis algorithms (\textit{good reference?}) and subquently Fourier Transform based solutions. - -\section{Multiplication} -\subsection{The Baseline Multiplication} -\label{sec:basemult} -\index{baseline multiplication} -Computing the product of two integers in software can be achieved using a trivial adaptation of the standard $O(n^2)$ long-hand multiplication -algorithm that school children are taught. The algorithm is considered an $O(n^2)$ algorithm since for two $n$-digit inputs $n^2$ single precision -multiplications are required. More specifically for a $m$ and $n$ digit input $m \cdot n$ single precision multiplications are required. To -simplify most discussions, it will be assumed that the inputs have comparable number of digits. - -The ``baseline multiplication'' algorithm is designed to act as the ``catch-all'' algorithm, only to be used when the faster algorithms cannot be -used. This algorithm does not use any particularly interesting optimizations and should ideally be avoided if possible. One important -facet of this algorithm, is that it has been modified to only produce a certain amount of output digits as resolution. The importance of this -modification will become evident during the discussion of Barrett modular reduction. Recall that for a $n$ and $m$ digit input the product -will be at most $n + m$ digits. Therefore, this algorithm can be reduced to a full multiplier by having it produce $n + m$ digits of the product. - -Recall from ~GAMMA~ the definition of $\gamma$ as the number of bits in the type \textbf{mp\_digit}. We shall now extend the variable set to -include $\alpha$ which shall represent the number of bits in the type \textbf{mp\_word}. This implies that $2^{\alpha} > 2 \cdot \beta^2$. The -constant $\delta = 2^{\alpha - 2lg(\beta)}$ will represent the maximal weight of any column in a product (\textit{see ~COMBA~ for more information}). - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{s\_mp\_mul\_digs}. \\ -\textbf{Input}. mp\_int $a$, mp\_int $b$ and an integer $digs$ \\ -\textbf{Output}. $c \leftarrow \vert a \vert \cdot \vert b \vert \mbox{ (mod }\beta^{digs}\mbox{)}$. \\ -\hline \\ -1. If min$(a.used, b.used) < \delta$ then do \\ -\hspace{3mm}1.1 Calculate $c = \vert a \vert \cdot \vert b \vert$ by the Comba method (\textit{see algorithm~\ref{fig:COMBAMULT}}). \\ -\hspace{3mm}1.2 Return the result of step 1.1 \\ -\\ -Allocate and initialize a temporary mp\_int. \\ -2. Init $t$ to be of size $digs$ \\ -3. If step 2 failed return(\textit{MP\_MEM}). \\ -4. $t.used \leftarrow digs$ \\ -\\ -Compute the product. \\ -5. for $ix$ from $0$ to $a.used - 1$ do \\ -\hspace{3mm}5.1 $u \leftarrow 0$ \\ -\hspace{3mm}5.2 $pb \leftarrow \mbox{min}(b.used, digs - ix)$ \\ -\hspace{3mm}5.3 If $pb < 1$ then goto step 6. \\ -\hspace{3mm}5.4 for $iy$ from $0$ to $pb - 1$ do \\ -\hspace{6mm}5.4.1 $\hat r \leftarrow t_{iy + ix} + a_{ix} \cdot b_{iy} + u$ \\ -\hspace{6mm}5.4.2 $t_{iy + ix} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{6mm}5.4.3 $u \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -\hspace{3mm}5.5 if $ix + pb < digs$ then do \\ -\hspace{6mm}5.5.1 $t_{ix + pb} \leftarrow u$ \\ -6. Clamp excess digits of $t$. \\ -7. Swap $c$ with $t$ \\ -8. Clear $t$ \\ -9. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm s\_mp\_mul\_digs} -\end{figure} - -\textbf{Algorithm s\_mp\_mul\_digs.} -This algorithm computes the unsigned product of two inputs $a$ and $b$, limited to an output precision of $digs$ digits. While it may seem -a bit awkward to modify the function from its simple $O(n^2)$ description, the usefulness of partial multipliers will arise in a subsequent -algorithm. The algorithm is loosely based on algorithm 14.12 from \cite[pp. 595]{HAC} and is similar to Algorithm M of Knuth \cite[pp. 268]{TAOCPV2}. -Algorithm s\_mp\_mul\_digs differs from these cited references since it can produce a variable output precision regardless of the precision of the -inputs. - -The first thing this algorithm checks for is whether a Comba multiplier can be used instead. If the minimum digit count of either -input is less than $\delta$, then the Comba method may be used instead. After the Comba method is ruled out, the baseline algorithm begins. A -temporary mp\_int variable $t$ is used to hold the intermediate result of the product. This allows the algorithm to be used to -compute products when either $a = c$ or $b = c$ without overwriting the inputs. - -All of step 5 is the infamous $O(n^2)$ multiplication loop slightly modified to only produce upto $digs$ digits of output. The $pb$ variable -is given the count of digits to read from $b$ inside the nested loop. If $pb \le 1$ then no more output digits can be produced and the algorithm -will exit the loop. The best way to think of the loops are as a series of $pb \times 1$ multiplications. That is, in each pass of the -innermost loop $a_{ix}$ is multiplied against $b$ and the result is added (\textit{with an appropriate shift}) to $t$. - -For example, consider multiplying $576$ by $241$. That is equivalent to computing $10^0(1)(576) + 10^1(4)(576) + 10^2(2)(576)$ which is best -visualized in the following table. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{|c|c|c|c|c|c|l|} -\hline && & 5 & 7 & 6 & \\ -\hline $\times$&& & 2 & 4 & 1 & \\ -\hline &&&&&&\\ - && & 5 & 7 & 6 & $10^0(1)(576)$ \\ - &2 & 3 & 6 & 1 & 6 & $10^1(4)(576) + 10^0(1)(576)$ \\ - 1 & 3 & 8 & 8 & 1 & 6 & $10^2(2)(576) + 10^1(4)(576) + 10^0(1)(576)$ \\ -\hline -\end{tabular} -\end{center} -\caption{Long-Hand Multiplication Diagram} -\end{figure} - -Each row of the product is added to the result after being shifted to the left (\textit{multiplied by a power of the radix}) by the appropriate -count. That is in pass $ix$ of the inner loop the product is added starting at the $ix$'th digit of the reult. - -Step 5.4.1 introduces the hat symbol (\textit{e.g. $\hat r$}) which represents a double precision variable. The multiplication on that step -is assumed to be a double wide output single precision multiplication. That is, two single precision variables are multiplied to produce a -double precision result. The step is somewhat optimized from a long-hand multiplication algorithm because the carry from the addition in step -5.4.1 is propagated through the nested loop. If the carry was not propagated immediately it would overflow the single precision digit -$t_{ix+iy}$ and the result would be lost. - -At step 5.5 the nested loop is finished and any carry that was left over should be forwarded. The carry does not have to be added to the $ix+pb$'th -digit since that digit is assumed to be zero at this point. However, if $ix + pb \ge digs$ the carry is not set as it would make the result -exceed the precision requested. - -EXAM,bn_s_mp_mul_digs.c - -First we determine (line @30,if@) if the Comba method can be used first since it's faster. The conditions for -sing the Comba routine are that min$(a.used, b.used) < \delta$ and the number of digits of output is less than -\textbf{MP\_WARRAY}. This new constant is used to control the stack usage in the Comba routines. By default it is -set to $\delta$ but can be reduced when memory is at a premium. - -If we cannot use the Comba method we proceed to setup the baseline routine. We allocate the the destination mp\_int -$t$ (line @36,init@) to the exact size of the output to avoid further re--allocations. At this point we now -begin the $O(n^2)$ loop. - -This implementation of multiplication has the caveat that it can be trimmed to only produce a variable number of -digits as output. In each iteration of the outer loop the $pb$ variable is set (line @48,MIN@) to the maximum -number of inner loop iterations. - -Inside the inner loop we calculate $\hat r$ as the mp\_word product of the two mp\_digits and the addition of the -carry from the previous iteration. A particularly important observation is that most modern optimizing -C compilers (GCC for instance) can recognize that a $N \times N \rightarrow 2N$ multiplication is all that -is required for the product. In x86 terms for example, this means using the MUL instruction. - -Each digit of the product is stored in turn (line @68,tmpt@) and the carry propagated (line @71,>>@) to the -next iteration. - -\subsection{Faster Multiplication by the ``Comba'' Method} -MARK,COMBA - -One of the huge drawbacks of the ``baseline'' algorithms is that at the $O(n^2)$ level the carry must be -computed and propagated upwards. This makes the nested loop very sequential and hard to unroll and implement -in parallel. The ``Comba'' \cite{COMBA} method is named after little known (\textit{in cryptographic venues}) Paul G. -Comba who described a method of implementing fast multipliers that do not require nested carry fixup operations. As an -interesting aside it seems that Paul Barrett describes a similar technique in his 1986 paper \cite{BARRETT} written -five years before. - -At the heart of the Comba technique is once again the long-hand algorithm. Except in this case a slight -twist is placed on how the columns of the result are produced. In the standard long-hand algorithm rows of products -are produced then added together to form the final result. In the baseline algorithm the columns are added together -after each iteration to get the result instantaneously. - -In the Comba algorithm the columns of the result are produced entirely independently of each other. That is at -the $O(n^2)$ level a simple multiplication and addition step is performed. The carries of the columns are propagated -after the nested loop to reduce the amount of work requiored. Succintly the first step of the algorithm is to compute -the product vector $\vec x$ as follows. - -\begin{equation} -\vec x_n = \sum_{i+j = n} a_ib_j, \forall n \in \lbrace 0, 1, 2, \ldots, i + j \rbrace -\end{equation} - -Where $\vec x_n$ is the $n'th$ column of the output vector. Consider the following example which computes the vector $\vec x$ for the multiplication -of $576$ and $241$. - -\newpage\begin{figure}[here] -\begin{small} -\begin{center} -\begin{tabular}{|c|c|c|c|c|c|} - \hline & & 5 & 7 & 6 & First Input\\ - \hline $\times$ & & 2 & 4 & 1 & Second Input\\ -\hline & & $1 \cdot 5 = 5$ & $1 \cdot 7 = 7$ & $1 \cdot 6 = 6$ & First pass \\ - & $4 \cdot 5 = 20$ & $4 \cdot 7+5=33$ & $4 \cdot 6+7=31$ & 6 & Second pass \\ - $2 \cdot 5 = 10$ & $2 \cdot 7 + 20 = 34$ & $2 \cdot 6+33=45$ & 31 & 6 & Third pass \\ -\hline 10 & 34 & 45 & 31 & 6 & Final Result \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Comba Multiplication Diagram} -\end{figure} - -At this point the vector $x = \left < 10, 34, 45, 31, 6 \right >$ is the result of the first step of the Comba multipler. -Now the columns must be fixed by propagating the carry upwards. The resultant vector will have one extra dimension over the input vector which is -congruent to adding a leading zero digit. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Comba Fixup}. \\ -\textbf{Input}. Vector $\vec x$ of dimension $k$ \\ -\textbf{Output}. Vector $\vec x$ such that the carries have been propagated. \\ -\hline \\ -1. for $n$ from $0$ to $k - 1$ do \\ -\hspace{3mm}1.1 $\vec x_{n+1} \leftarrow \vec x_{n+1} + \lfloor \vec x_{n}/\beta \rfloor$ \\ -\hspace{3mm}1.2 $\vec x_{n} \leftarrow \vec x_{n} \mbox{ (mod }\beta\mbox{)}$ \\ -2. Return($\vec x$). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Comba Fixup} -\end{figure} - -With that algorithm and $k = 5$ and $\beta = 10$ the following vector is produced $\vec x= \left < 1, 3, 8, 8, 1, 6 \right >$. In this case -$241 \cdot 576$ is in fact $138816$ and the procedure succeeded. If the algorithm is correct and as will be demonstrated shortly more -efficient than the baseline algorithm why not simply always use this algorithm? - -\subsubsection{Column Weight.} -At the nested $O(n^2)$ level the Comba method adds the product of two single precision variables to each column of the output -independently. A serious obstacle is if the carry is lost, due to lack of precision before the algorithm has a chance to fix -the carries. For example, in the multiplication of two three-digit numbers the third column of output will be the sum of -three single precision multiplications. If the precision of the accumulator for the output digits is less then $3 \cdot (\beta - 1)^2$ then -an overflow can occur and the carry information will be lost. For any $m$ and $n$ digit inputs the maximum weight of any column is -min$(m, n)$ which is fairly obvious. - -The maximum number of terms in any column of a product is known as the ``column weight'' and strictly governs when the algorithm can be used. Recall -from earlier that a double precision type has $\alpha$ bits of resolution and a single precision digit has $lg(\beta)$ bits of precision. Given these -two quantities we must not violate the following - -\begin{equation} -k \cdot \left (\beta - 1 \right )^2 < 2^{\alpha} -\end{equation} - -Which reduces to - -\begin{equation} -k \cdot \left ( \beta^2 - 2\beta + 1 \right ) < 2^{\alpha} -\end{equation} - -Let $\rho = lg(\beta)$ represent the number of bits in a single precision digit. By further re-arrangement of the equation the final solution is -found. - -\begin{equation} -k < {{2^{\alpha}} \over {\left (2^{2\rho} - 2^{\rho + 1} + 1 \right )}} -\end{equation} - -The defaults for LibTomMath are $\beta = 2^{28}$ and $\alpha = 2^{64}$ which means that $k$ is bounded by $k < 257$. In this configuration -the smaller input may not have more than $256$ digits if the Comba method is to be used. This is quite satisfactory for most applications since -$256$ digits would allow for numbers in the range of $0 \le x < 2^{7168}$ which, is much larger than most public key cryptographic algorithms require. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{fast\_s\_mp\_mul\_digs}. \\ -\textbf{Input}. mp\_int $a$, mp\_int $b$ and an integer $digs$ \\ -\textbf{Output}. $c \leftarrow \vert a \vert \cdot \vert b \vert \mbox{ (mod }\beta^{digs}\mbox{)}$. \\ -\hline \\ -Place an array of \textbf{MP\_WARRAY} single precision digits named $W$ on the stack. \\ -1. If $c.alloc < digs$ then grow $c$ to $digs$ digits. (\textit{mp\_grow}) \\ -2. If step 1 failed return(\textit{MP\_MEM}).\\ -\\ -3. $pa \leftarrow \mbox{MIN}(digs, a.used + b.used)$ \\ -\\ -4. $\_ \hat W \leftarrow 0$ \\ -5. for $ix$ from 0 to $pa - 1$ do \\ -\hspace{3mm}5.1 $ty \leftarrow \mbox{MIN}(b.used - 1, ix)$ \\ -\hspace{3mm}5.2 $tx \leftarrow ix - ty$ \\ -\hspace{3mm}5.3 $iy \leftarrow \mbox{MIN}(a.used - tx, ty + 1)$ \\ -\hspace{3mm}5.4 for $iz$ from 0 to $iy - 1$ do \\ -\hspace{6mm}5.4.1 $\_ \hat W \leftarrow \_ \hat W + a_{tx+iy}b_{ty-iy}$ \\ -\hspace{3mm}5.5 $W_{ix} \leftarrow \_ \hat W (\mbox{mod }\beta)$\\ -\hspace{3mm}5.6 $\_ \hat W \leftarrow \lfloor \_ \hat W / \beta \rfloor$ \\ -\\ -6. $oldused \leftarrow c.used$ \\ -7. $c.used \leftarrow digs$ \\ -8. for $ix$ from $0$ to $pa$ do \\ -\hspace{3mm}8.1 $c_{ix} \leftarrow W_{ix}$ \\ -9. for $ix$ from $pa + 1$ to $oldused - 1$ do \\ -\hspace{3mm}9.1 $c_{ix} \leftarrow 0$ \\ -\\ -10. Clamp $c$. \\ -11. Return MP\_OKAY. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm fast\_s\_mp\_mul\_digs} -\label{fig:COMBAMULT} -\end{figure} - -\textbf{Algorithm fast\_s\_mp\_mul\_digs.} -This algorithm performs the unsigned multiplication of $a$ and $b$ using the Comba method limited to $digs$ digits of precision. - -The outer loop of this algorithm is more complicated than that of the baseline multiplier. This is because on the inside of the -loop we want to produce one column per pass. This allows the accumulator $\_ \hat W$ to be placed in CPU registers and -reduce the memory bandwidth to two \textbf{mp\_digit} reads per iteration. - -The $ty$ variable is set to the minimum count of $ix$ or the number of digits in $b$. That way if $a$ has more digits than -$b$ this will be limited to $b.used - 1$. The $tx$ variable is set to the to the distance past $b.used$ the variable -$ix$ is. This is used for the immediately subsequent statement where we find $iy$. - -The variable $iy$ is the minimum digits we can read from either $a$ or $b$ before running out. Computing one column at a time -means we have to scan one integer upwards and the other downwards. $a$ starts at $tx$ and $b$ starts at $ty$. In each -pass we are producing the $ix$'th output column and we note that $tx + ty = ix$. As we move $tx$ upwards we have to -move $ty$ downards so the equality remains valid. The $iy$ variable is the number of iterations until -$tx \ge a.used$ or $ty < 0$ occurs. - -After every inner pass we store the lower half of the accumulator into $W_{ix}$ and then propagate the carry of the accumulator -into the next round by dividing $\_ \hat W$ by $\beta$. - -To measure the benefits of the Comba method over the baseline method consider the number of operations that are required. If the -cost in terms of time of a multiply and addition is $p$ and the cost of a carry propagation is $q$ then a baseline multiplication would require -$O \left ((p + q)n^2 \right )$ time to multiply two $n$-digit numbers. The Comba method requires only $O(pn^2 + qn)$ time, however in practice, -the speed increase is actually much more. With $O(n)$ space the algorithm can be reduced to $O(pn + qn)$ time by implementing the $n$ multiply -and addition operations in the nested loop in parallel. - -EXAM,bn_fast_s_mp_mul_digs.c - -As per the pseudo--code we first calculate $pa$ (line @47,MIN@) as the number of digits to output. Next we begin the outer loop -to produce the individual columns of the product. We use the two aliases $tmpx$ and $tmpy$ (lines @61,tmpx@, @62,tmpy@) to point -inside the two multiplicands quickly. - -The inner loop (lines @70,for@ to @72,}@) of this implementation is where the tradeoff come into play. Originally this comba -implementation was ``row--major'' which means it adds to each of the columns in each pass. After the outer loop it would then fix -the carries. This was very fast except it had an annoying drawback. You had to read a mp\_word and two mp\_digits and write -one mp\_word per iteration. On processors such as the Athlon XP and P4 this did not matter much since the cache bandwidth -is very high and it can keep the ALU fed with data. It did, however, matter on older and embedded cpus where cache is often -slower and also often doesn't exist. This new algorithm only performs two reads per iteration under the assumption that the -compiler has aliased $\_ \hat W$ to a CPU register. - -After the inner loop we store the current accumulator in $W$ and shift $\_ \hat W$ (lines @75,W[ix]@, @78,>>@) to forward it as -a carry for the next pass. After the outer loop we use the final carry (line @82,W[ix]@) as the last digit of the product. - -\subsection{Polynomial Basis Multiplication} -To break the $O(n^2)$ barrier in multiplication requires a completely different look at integer multiplication. In the following algorithms -the use of polynomial basis representation for two integers $a$ and $b$ as $f(x) = \sum_{i=0}^{n} a_i x^i$ and -$g(x) = \sum_{i=0}^{n} b_i x^i$ respectively, is required. In this system both $f(x)$ and $g(x)$ have $n + 1$ terms and are of the $n$'th degree. - -The product $a \cdot b \equiv f(x)g(x)$ is the polynomial $W(x) = \sum_{i=0}^{2n} w_i x^i$. The coefficients $w_i$ will -directly yield the desired product when $\beta$ is substituted for $x$. The direct solution to solve for the $2n + 1$ coefficients -requires $O(n^2)$ time and would in practice be slower than the Comba technique. - -However, numerical analysis theory indicates that only $2n + 1$ distinct points in $W(x)$ are required to determine the values of the $2n + 1$ unknown -coefficients. This means by finding $\zeta_y = W(y)$ for $2n + 1$ small values of $y$ the coefficients of $W(x)$ can be found with -Gaussian elimination. This technique is also occasionally refered to as the \textit{interpolation technique} (\textit{references please...}) since in -effect an interpolation based on $2n + 1$ points will yield a polynomial equivalent to $W(x)$. - -The coefficients of the polynomial $W(x)$ are unknown which makes finding $W(y)$ for any value of $y$ impossible. However, since -$W(x) = f(x)g(x)$ the equivalent $\zeta_y = f(y) g(y)$ can be used in its place. The benefit of this technique stems from the -fact that $f(y)$ and $g(y)$ are much smaller than either $a$ or $b$ respectively. As a result finding the $2n + 1$ relations required -by multiplying $f(y)g(y)$ involves multiplying integers that are much smaller than either of the inputs. - -When picking points to gather relations there are always three obvious points to choose, $y = 0, 1$ and $ \infty$. The $\zeta_0$ term -is simply the product $W(0) = w_0 = a_0 \cdot b_0$. The $\zeta_1$ term is the product -$W(1) = \left (\sum_{i = 0}^{n} a_i \right ) \left (\sum_{i = 0}^{n} b_i \right )$. The third point $\zeta_{\infty}$ is less obvious but rather -simple to explain. The $2n + 1$'th coefficient of $W(x)$ is numerically equivalent to the most significant column in an integer multiplication. -The point at $\infty$ is used symbolically to represent the most significant column, that is $W(\infty) = w_{2n} = a_nb_n$. Note that the -points at $y = 0$ and $\infty$ yield the coefficients $w_0$ and $w_{2n}$ directly. - -If more points are required they should be of small values and powers of two such as $2^q$ and the related \textit{mirror points} -$\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ for small values of $q$. The term ``mirror point'' stems from the fact that -$\left (2^q \right )^{2n} \cdot \zeta_{2^{-q}}$ can be calculated in the exact opposite fashion as $\zeta_{2^q}$. For -example, when $n = 2$ and $q = 1$ then following two equations are equivalent to the point $\zeta_{2}$ and its mirror. - -\begin{eqnarray} -\zeta_{2} = f(2)g(2) = (4a_2 + 2a_1 + a_0)(4b_2 + 2b_1 + b_0) \nonumber \\ -16 \cdot \zeta_{1 \over 2} = 4f({1\over 2}) \cdot 4g({1 \over 2}) = (a_2 + 2a_1 + 4a_0)(b_2 + 2b_1 + 4b_0) -\end{eqnarray} - -Using such points will allow the values of $f(y)$ and $g(y)$ to be independently calculated using only left shifts. For example, when $n = 2$ the -polynomial $f(2^q)$ is equal to $2^q((2^qa_2) + a_1) + a_0$. This technique of polynomial representation is known as Horner's method. - -As a general rule of the algorithm when the inputs are split into $n$ parts each there are $2n - 1$ multiplications. Each multiplication is of -multiplicands that have $n$ times fewer digits than the inputs. The asymptotic running time of this algorithm is -$O \left ( k^{lg_n(2n - 1)} \right )$ for $k$ digit inputs (\textit{assuming they have the same number of digits}). Figure~\ref{fig:exponent} -summarizes the exponents for various values of $n$. - -\begin{figure} -\begin{center} -\begin{tabular}{|c|c|c|} -\hline \textbf{Split into $n$ Parts} & \textbf{Exponent} & \textbf{Notes}\\ -\hline $2$ & $1.584962501$ & This is Karatsuba Multiplication. \\ -\hline $3$ & $1.464973520$ & This is Toom-Cook Multiplication. \\ -\hline $4$ & $1.403677461$ &\\ -\hline $5$ & $1.365212389$ &\\ -\hline $10$ & $1.278753601$ &\\ -\hline $100$ & $1.149426538$ &\\ -\hline $1000$ & $1.100270931$ &\\ -\hline $10000$ & $1.075252070$ &\\ -\hline -\end{tabular} -\end{center} -\caption{Asymptotic Running Time of Polynomial Basis Multiplication} -\label{fig:exponent} -\end{figure} - -At first it may seem like a good idea to choose $n = 1000$ since the exponent is approximately $1.1$. However, the overhead -of solving for the 2001 terms of $W(x)$ will certainly consume any savings the algorithm could offer for all but exceedingly large -numbers. - -\subsubsection{Cutoff Point} -The polynomial basis multiplication algorithms all require fewer single precision multiplications than a straight Comba approach. However, -the algorithms incur an overhead (\textit{at the $O(n)$ work level}) since they require a system of equations to be solved. This makes the -polynomial basis approach more costly to use with small inputs. - -Let $m$ represent the number of digits in the multiplicands (\textit{assume both multiplicands have the same number of digits}). There exists a -point $y$ such that when $m < y$ the polynomial basis algorithms are more costly than Comba, when $m = y$ they are roughly the same cost and -when $m > y$ the Comba methods are slower than the polynomial basis algorithms. - -The exact location of $y$ depends on several key architectural elements of the computer platform in question. - -\begin{enumerate} -\item The ratio of clock cycles for single precision multiplication versus other simpler operations such as addition, shifting, etc. For example -on the AMD Athlon the ratio is roughly $17 : 1$ while on the Intel P4 it is $29 : 1$. The higher the ratio in favour of multiplication the lower -the cutoff point $y$ will be. - -\item The complexity of the linear system of equations (\textit{for the coefficients of $W(x)$}) is. Generally speaking as the number of splits -grows the complexity grows substantially. Ideally solving the system will only involve addition, subtraction and shifting of integers. This -directly reflects on the ratio previous mentioned. - -\item To a lesser extent memory bandwidth and function call overheads. Provided the values are in the processor cache this is less of an -influence over the cutoff point. - -\end{enumerate} - -A clean cutoff point separation occurs when a point $y$ is found such that all of the cutoff point conditions are met. For example, if the point -is too low then there will be values of $m$ such that $m > y$ and the Comba method is still faster. Finding the cutoff points is fairly simple when -a high resolution timer is available. - -\subsection{Karatsuba Multiplication} -Karatsuba \cite{KARA} multiplication when originally proposed in 1962 was among the first set of algorithms to break the $O(n^2)$ barrier for -general purpose multiplication. Given two polynomial basis representations $f(x) = ax + b$ and $g(x) = cx + d$, Karatsuba proved with -light algebra \cite{KARAP} that the following polynomial is equivalent to multiplication of the two integers the polynomials represent. - -\begin{equation} -f(x) \cdot g(x) = acx^2 + ((a + b)(c + d) - (ac + bd))x + bd -\end{equation} - -Using the observation that $ac$ and $bd$ could be re-used only three half sized multiplications would be required to produce the product. Applying -this algorithm recursively, the work factor becomes $O(n^{lg(3)})$ which is substantially better than the work factor $O(n^2)$ of the Comba technique. It turns -out what Karatsuba did not know or at least did not publish was that this is simply polynomial basis multiplication with the points -$\zeta_0$, $\zeta_{\infty}$ and $\zeta_{1}$. Consider the resultant system of equations. - -\begin{center} -\begin{tabular}{rcrcrcrc} -$\zeta_{0}$ & $=$ & & & & & $w_0$ \\ -$\zeta_{1}$ & $=$ & $w_2$ & $+$ & $w_1$ & $+$ & $w_0$ \\ -$\zeta_{\infty}$ & $=$ & $w_2$ & & & & \\ -\end{tabular} -\end{center} - -By adding the first and last equation to the equation in the middle the term $w_1$ can be isolated and all three coefficients solved for. The simplicity -of this system of equations has made Karatsuba fairly popular. In fact the cutoff point is often fairly low\footnote{With LibTomMath 0.18 it is 70 and 109 digits for the Intel P4 and AMD Athlon respectively.} -making it an ideal algorithm to speed up certain public key cryptosystems such as RSA and Diffie-Hellman. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_karatsuba\_mul}. \\ -\textbf{Input}. mp\_int $a$ and mp\_int $b$ \\ -\textbf{Output}. $c \leftarrow \vert a \vert \cdot \vert b \vert$ \\ -\hline \\ -1. Init the following mp\_int variables: $x0$, $x1$, $y0$, $y1$, $t1$, $x0y0$, $x1y1$.\\ -2. If step 2 failed then return(\textit{MP\_MEM}). \\ -\\ -Split the input. e.g. $a = x1 \cdot \beta^B + x0$ \\ -3. $B \leftarrow \mbox{min}(a.used, b.used)/2$ \\ -4. $x0 \leftarrow a \mbox{ (mod }\beta^B\mbox{)}$ (\textit{mp\_mod\_2d}) \\ -5. $y0 \leftarrow b \mbox{ (mod }\beta^B\mbox{)}$ \\ -6. $x1 \leftarrow \lfloor a / \beta^B \rfloor$ (\textit{mp\_rshd}) \\ -7. $y1 \leftarrow \lfloor b / \beta^B \rfloor$ \\ -\\ -Calculate the three products. \\ -8. $x0y0 \leftarrow x0 \cdot y0$ (\textit{mp\_mul}) \\ -9. $x1y1 \leftarrow x1 \cdot y1$ \\ -10. $t1 \leftarrow x1 + x0$ (\textit{mp\_add}) \\ -11. $x0 \leftarrow y1 + y0$ \\ -12. $t1 \leftarrow t1 \cdot x0$ \\ -\\ -Calculate the middle term. \\ -13. $x0 \leftarrow x0y0 + x1y1$ \\ -14. $t1 \leftarrow t1 - x0$ (\textit{s\_mp\_sub}) \\ -\\ -Calculate the final product. \\ -15. $t1 \leftarrow t1 \cdot \beta^B$ (\textit{mp\_lshd}) \\ -16. $x1y1 \leftarrow x1y1 \cdot \beta^{2B}$ \\ -17. $t1 \leftarrow x0y0 + t1$ \\ -18. $c \leftarrow t1 + x1y1$ \\ -19. Clear all of the temporary variables. \\ -20. Return(\textit{MP\_OKAY}).\\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_karatsuba\_mul} -\end{figure} - -\textbf{Algorithm mp\_karatsuba\_mul.} -This algorithm computes the unsigned product of two inputs using the Karatsuba multiplication algorithm. It is loosely based on the description -from Knuth \cite[pp. 294-295]{TAOCPV2}. - -\index{radix point} -In order to split the two inputs into their respective halves, a suitable \textit{radix point} must be chosen. The radix point chosen must -be used for both of the inputs meaning that it must be smaller than the smallest input. Step 3 chooses the radix point $B$ as half of the -smallest input \textbf{used} count. After the radix point is chosen the inputs are split into lower and upper halves. Step 4 and 5 -compute the lower halves. Step 6 and 7 computer the upper halves. - -After the halves have been computed the three intermediate half-size products must be computed. Step 8 and 9 compute the trivial products -$x0 \cdot y0$ and $x1 \cdot y1$. The mp\_int $x0$ is used as a temporary variable after $x1 + x0$ has been computed. By using $x0$ instead -of an additional temporary variable, the algorithm can avoid an addition memory allocation operation. - -The remaining steps 13 through 18 compute the Karatsuba polynomial through a variety of digit shifting and addition operations. - -EXAM,bn_mp_karatsuba_mul.c - -The new coding element in this routine, not seen in previous routines, is the usage of goto statements. The conventional -wisdom is that goto statements should be avoided. This is generally true, however when every single function call can fail, it makes sense -to handle error recovery with a single piece of code. Lines @61,if@ to @75,if@ handle initializing all of the temporary variables -required. Note how each of the if statements goes to a different label in case of failure. This allows the routine to correctly free only -the temporaries that have been successfully allocated so far. - -The temporary variables are all initialized using the mp\_init\_size routine since they are expected to be large. This saves the -additional reallocation that would have been necessary. Also $x0$, $x1$, $y0$ and $y1$ have to be able to hold at least their respective -number of digits for the next section of code. - -The first algebraic portion of the algorithm is to split the two inputs into their halves. However, instead of using mp\_mod\_2d and mp\_rshd -to extract the halves, the respective code has been placed inline within the body of the function. To initialize the halves, the \textbf{used} and -\textbf{sign} members are copied first. The first for loop on line @98,for@ copies the lower halves. Since they are both the same magnitude it -is simpler to calculate both lower halves in a single loop. The for loop on lines @104,for@ and @109,for@ calculate the upper halves $x1$ and -$y1$ respectively. - -By inlining the calculation of the halves, the Karatsuba multiplier has a slightly lower overhead and can be used for smaller magnitude inputs. - -When line @152,err@ is reached, the algorithm has completed succesfully. The ``error status'' variable $err$ is set to \textbf{MP\_OKAY} so that -the same code that handles errors can be used to clear the temporary variables and return. - -\subsection{Toom-Cook $3$-Way Multiplication} -Toom-Cook $3$-Way \cite{TOOM} multiplication is essentially the polynomial basis algorithm for $n = 2$ except that the points are -chosen such that $\zeta$ is easy to compute and the resulting system of equations easy to reduce. Here, the points $\zeta_{0}$, -$16 \cdot \zeta_{1 \over 2}$, $\zeta_1$, $\zeta_2$ and $\zeta_{\infty}$ make up the five required points to solve for the coefficients -of the $W(x)$. - -With the five relations that Toom-Cook specifies, the following system of equations is formed. - -\begin{center} -\begin{tabular}{rcrcrcrcrcr} -$\zeta_0$ & $=$ & $0w_4$ & $+$ & $0w_3$ & $+$ & $0w_2$ & $+$ & $0w_1$ & $+$ & $1w_0$ \\ -$16 \cdot \zeta_{1 \over 2}$ & $=$ & $1w_4$ & $+$ & $2w_3$ & $+$ & $4w_2$ & $+$ & $8w_1$ & $+$ & $16w_0$ \\ -$\zeta_1$ & $=$ & $1w_4$ & $+$ & $1w_3$ & $+$ & $1w_2$ & $+$ & $1w_1$ & $+$ & $1w_0$ \\ -$\zeta_2$ & $=$ & $16w_4$ & $+$ & $8w_3$ & $+$ & $4w_2$ & $+$ & $2w_1$ & $+$ & $1w_0$ \\ -$\zeta_{\infty}$ & $=$ & $1w_4$ & $+$ & $0w_3$ & $+$ & $0w_2$ & $+$ & $0w_1$ & $+$ & $0w_0$ \\ -\end{tabular} -\end{center} - -A trivial solution to this matrix requires $12$ subtractions, two multiplications by a small power of two, two divisions by a small power -of two, two divisions by three and one multiplication by three. All of these $19$ sub-operations require less than quadratic time, meaning that -the algorithm can be faster than a baseline multiplication. However, the greater complexity of this algorithm places the cutoff point -(\textbf{TOOM\_MUL\_CUTOFF}) where Toom-Cook becomes more efficient much higher than the Karatsuba cutoff point. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_toom\_mul}. \\ -\textbf{Input}. mp\_int $a$ and mp\_int $b$ \\ -\textbf{Output}. $c \leftarrow a \cdot b $ \\ -\hline \\ -Split $a$ and $b$ into three pieces. E.g. $a = a_2 \beta^{2k} + a_1 \beta^{k} + a_0$ \\ -1. $k \leftarrow \lfloor \mbox{min}(a.used, b.used) / 3 \rfloor$ \\ -2. $a_0 \leftarrow a \mbox{ (mod }\beta^{k}\mbox{)}$ \\ -3. $a_1 \leftarrow \lfloor a / \beta^k \rfloor$, $a_1 \leftarrow a_1 \mbox{ (mod }\beta^{k}\mbox{)}$ \\ -4. $a_2 \leftarrow \lfloor a / \beta^{2k} \rfloor$, $a_2 \leftarrow a_2 \mbox{ (mod }\beta^{k}\mbox{)}$ \\ -5. $b_0 \leftarrow a \mbox{ (mod }\beta^{k}\mbox{)}$ \\ -6. $b_1 \leftarrow \lfloor a / \beta^k \rfloor$, $b_1 \leftarrow b_1 \mbox{ (mod }\beta^{k}\mbox{)}$ \\ -7. $b_2 \leftarrow \lfloor a / \beta^{2k} \rfloor$, $b_2 \leftarrow b_2 \mbox{ (mod }\beta^{k}\mbox{)}$ \\ -\\ -Find the five equations for $w_0, w_1, ..., w_4$. \\ -8. $w_0 \leftarrow a_0 \cdot b_0$ \\ -9. $w_4 \leftarrow a_2 \cdot b_2$ \\ -10. $tmp_1 \leftarrow 2 \cdot a_0$, $tmp_1 \leftarrow a_1 + tmp_1$, $tmp_1 \leftarrow 2 \cdot tmp_1$, $tmp_1 \leftarrow tmp_1 + a_2$ \\ -11. $tmp_2 \leftarrow 2 \cdot b_0$, $tmp_2 \leftarrow b_1 + tmp_2$, $tmp_2 \leftarrow 2 \cdot tmp_2$, $tmp_2 \leftarrow tmp_2 + b_2$ \\ -12. $w_1 \leftarrow tmp_1 \cdot tmp_2$ \\ -13. $tmp_1 \leftarrow 2 \cdot a_2$, $tmp_1 \leftarrow a_1 + tmp_1$, $tmp_1 \leftarrow 2 \cdot tmp_1$, $tmp_1 \leftarrow tmp_1 + a_0$ \\ -14. $tmp_2 \leftarrow 2 \cdot b_2$, $tmp_2 \leftarrow b_1 + tmp_2$, $tmp_2 \leftarrow 2 \cdot tmp_2$, $tmp_2 \leftarrow tmp_2 + b_0$ \\ -15. $w_3 \leftarrow tmp_1 \cdot tmp_2$ \\ -16. $tmp_1 \leftarrow a_0 + a_1$, $tmp_1 \leftarrow tmp_1 + a_2$, $tmp_2 \leftarrow b_0 + b_1$, $tmp_2 \leftarrow tmp_2 + b_2$ \\ -17. $w_2 \leftarrow tmp_1 \cdot tmp_2$ \\ -\\ -Continued on the next page.\\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_toom\_mul} -\end{figure} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_toom\_mul} (continued). \\ -\textbf{Input}. mp\_int $a$ and mp\_int $b$ \\ -\textbf{Output}. $c \leftarrow a \cdot b $ \\ -\hline \\ -Now solve the system of equations. \\ -18. $w_1 \leftarrow w_4 - w_1$, $w_3 \leftarrow w_3 - w_0$ \\ -19. $w_1 \leftarrow \lfloor w_1 / 2 \rfloor$, $w_3 \leftarrow \lfloor w_3 / 2 \rfloor$ \\ -20. $w_2 \leftarrow w_2 - w_0$, $w_2 \leftarrow w_2 - w_4$ \\ -21. $w_1 \leftarrow w_1 - w_2$, $w_3 \leftarrow w_3 - w_2$ \\ -22. $tmp_1 \leftarrow 8 \cdot w_0$, $w_1 \leftarrow w_1 - tmp_1$, $tmp_1 \leftarrow 8 \cdot w_4$, $w_3 \leftarrow w_3 - tmp_1$ \\ -23. $w_2 \leftarrow 3 \cdot w_2$, $w_2 \leftarrow w_2 - w_1$, $w_2 \leftarrow w_2 - w_3$ \\ -24. $w_1 \leftarrow w_1 - w_2$, $w_3 \leftarrow w_3 - w_2$ \\ -25. $w_1 \leftarrow \lfloor w_1 / 3 \rfloor, w_3 \leftarrow \lfloor w_3 / 3 \rfloor$ \\ -\\ -Now substitute $\beta^k$ for $x$ by shifting $w_0, w_1, ..., w_4$. \\ -26. for $n$ from $1$ to $4$ do \\ -\hspace{3mm}26.1 $w_n \leftarrow w_n \cdot \beta^{nk}$ \\ -27. $c \leftarrow w_0 + w_1$, $c \leftarrow c + w_2$, $c \leftarrow c + w_3$, $c \leftarrow c + w_4$ \\ -28. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_toom\_mul (continued)} -\end{figure} - -\textbf{Algorithm mp\_toom\_mul.} -This algorithm computes the product of two mp\_int variables $a$ and $b$ using the Toom-Cook approach. Compared to the Karatsuba multiplication, this -algorithm has a lower asymptotic running time of approximately $O(n^{1.464})$ but at an obvious cost in overhead. In this -description, several statements have been compounded to save space. The intention is that the statements are executed from left to right across -any given step. - -The two inputs $a$ and $b$ are first split into three $k$-digit integers $a_0, a_1, a_2$ and $b_0, b_1, b_2$ respectively. From these smaller -integers the coefficients of the polynomial basis representations $f(x)$ and $g(x)$ are known and can be used to find the relations required. - -The first two relations $w_0$ and $w_4$ are the points $\zeta_{0}$ and $\zeta_{\infty}$ respectively. The relation $w_1, w_2$ and $w_3$ correspond -to the points $16 \cdot \zeta_{1 \over 2}, \zeta_{2}$ and $\zeta_{1}$ respectively. These are found using logical shifts to independently find -$f(y)$ and $g(y)$ which significantly speeds up the algorithm. - -After the five relations $w_0, w_1, \ldots, w_4$ have been computed, the system they represent must be solved in order for the unknown coefficients -$w_1, w_2$ and $w_3$ to be isolated. The steps 18 through 25 perform the system reduction required as previously described. Each step of -the reduction represents the comparable matrix operation that would be performed had this been performed by pencil. For example, step 18 indicates -that row $1$ must be subtracted from row $4$ and simultaneously row $0$ subtracted from row $3$. - -Once the coeffients have been isolated, the polynomial $W(x) = \sum_{i=0}^{2n} w_i x^i$ is known. By substituting $\beta^{k}$ for $x$, the integer -result $a \cdot b$ is produced. - -EXAM,bn_mp_toom_mul.c - -The first obvious thing to note is that this algorithm is complicated. The complexity is worth it if you are multiplying very -large numbers. For example, a 10,000 digit multiplication takes approximaly 99,282,205 fewer single precision multiplications with -Toom--Cook than a Comba or baseline approach (this is a savings of more than 99$\%$). For most ``crypto'' sized numbers this -algorithm is not practical as Karatsuba has a much lower cutoff point. - -First we split $a$ and $b$ into three roughly equal portions. This has been accomplished (lines @40,mod@ to @69,rshd@) with -combinations of mp\_rshd() and mp\_mod\_2d() function calls. At this point $a = a2 \cdot \beta^2 + a1 \cdot \beta + a0$ and similiarly -for $b$. - -Next we compute the five points $w0, w1, w2, w3$ and $w4$. Recall that $w0$ and $w4$ can be computed directly from the portions so -we get those out of the way first (lines @72,mul@ and @77,mul@). Next we compute $w1, w2$ and $w3$ using Horners method. - -After this point we solve for the actual values of $w1, w2$ and $w3$ by reducing the $5 \times 5$ system which is relatively -straight forward. - -\subsection{Signed Multiplication} -Now that algorithms to handle multiplications of every useful dimensions have been developed, a rather simple finishing touch is required. So far all -of the multiplication algorithms have been unsigned multiplications which leaves only a signed multiplication algorithm to be established. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_mul}. \\ -\textbf{Input}. mp\_int $a$ and mp\_int $b$ \\ -\textbf{Output}. $c \leftarrow a \cdot b$ \\ -\hline \\ -1. If $a.sign = b.sign$ then \\ -\hspace{3mm}1.1 $sign = MP\_ZPOS$ \\ -2. else \\ -\hspace{3mm}2.1 $sign = MP\_ZNEG$ \\ -3. If min$(a.used, b.used) \ge TOOM\_MUL\_CUTOFF$ then \\ -\hspace{3mm}3.1 $c \leftarrow a \cdot b$ using algorithm mp\_toom\_mul \\ -4. else if min$(a.used, b.used) \ge KARATSUBA\_MUL\_CUTOFF$ then \\ -\hspace{3mm}4.1 $c \leftarrow a \cdot b$ using algorithm mp\_karatsuba\_mul \\ -5. else \\ -\hspace{3mm}5.1 $digs \leftarrow a.used + b.used + 1$ \\ -\hspace{3mm}5.2 If $digs < MP\_ARRAY$ and min$(a.used, b.used) \le \delta$ then \\ -\hspace{6mm}5.2.1 $c \leftarrow a \cdot b \mbox{ (mod }\beta^{digs}\mbox{)}$ using algorithm fast\_s\_mp\_mul\_digs. \\ -\hspace{3mm}5.3 else \\ -\hspace{6mm}5.3.1 $c \leftarrow a \cdot b \mbox{ (mod }\beta^{digs}\mbox{)}$ using algorithm s\_mp\_mul\_digs. \\ -6. $c.sign \leftarrow sign$ \\ -7. Return the result of the unsigned multiplication performed. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_mul} -\end{figure} - -\textbf{Algorithm mp\_mul.} -This algorithm performs the signed multiplication of two inputs. It will make use of any of the three unsigned multiplication algorithms -available when the input is of appropriate size. The \textbf{sign} of the result is not set until the end of the algorithm since algorithm -s\_mp\_mul\_digs will clear it. - -EXAM,bn_mp_mul.c - -The implementation is rather simplistic and is not particularly noteworthy. Line @22,?@ computes the sign of the result using the ``?'' -operator from the C programming language. Line @37,<<@ computes $\delta$ using the fact that $1 << k$ is equal to $2^k$. - -\section{Squaring} -\label{sec:basesquare} - -Squaring is a special case of multiplication where both multiplicands are equal. At first it may seem like there is no significant optimization -available but in fact there is. Consider the multiplication of $576$ against $241$. In total there will be nine single precision multiplications -performed which are $1\cdot 6$, $1 \cdot 7$, $1 \cdot 5$, $4 \cdot 6$, $4 \cdot 7$, $4 \cdot 5$, $2 \cdot 6$, $2 \cdot 7$ and $2 \cdot 5$. Now consider -the multiplication of $123$ against $123$. The nine products are $3 \cdot 3$, $3 \cdot 2$, $3 \cdot 1$, $2 \cdot 3$, $2 \cdot 2$, $2 \cdot 1$, -$1 \cdot 3$, $1 \cdot 2$ and $1 \cdot 1$. On closer inspection some of the products are equivalent. For example, $3 \cdot 2 = 2 \cdot 3$ -and $3 \cdot 1 = 1 \cdot 3$. - -For any $n$-digit input, there are ${{\left (n^2 + n \right)}\over 2}$ possible unique single precision multiplications required compared to the $n^2$ -required for multiplication. The following diagram gives an example of the operations required. - -\begin{figure}[here] -\begin{center} -\begin{tabular}{ccccc|c} -&&1&2&3&\\ -$\times$ &&1&2&3&\\ -\hline && $3 \cdot 1$ & $3 \cdot 2$ & $3 \cdot 3$ & Row 0\\ - & $2 \cdot 1$ & $2 \cdot 2$ & $2 \cdot 3$ && Row 1 \\ - $1 \cdot 1$ & $1 \cdot 2$ & $1 \cdot 3$ &&& Row 2 \\ -\end{tabular} -\end{center} -\caption{Squaring Optimization Diagram} -\end{figure} - -MARK,SQUARE -Starting from zero and numbering the columns from right to left a very simple pattern becomes obvious. For the purposes of this discussion let $x$ -represent the number being squared. The first observation is that in row $k$ the $2k$'th column of the product has a $\left (x_k \right)^2$ term in it. - -The second observation is that every column $j$ in row $k$ where $j \ne 2k$ is part of a double product. Every non-square term of a column will -appear twice hence the name ``double product''. Every odd column is made up entirely of double products. In fact every column is made up of double -products and at most one square (\textit{see the exercise section}). - -The third and final observation is that for row $k$ the first unique non-square term, that is, one that hasn't already appeared in an earlier row, -occurs at column $2k + 1$. For example, on row $1$ of the previous squaring, column one is part of the double product with column one from row zero. -Column two of row one is a square and column three is the first unique column. - -\subsection{The Baseline Squaring Algorithm} -The baseline squaring algorithm is meant to be a catch-all squaring algorithm. It will handle any of the input sizes that the faster routines -will not handle. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{s\_mp\_sqr}. \\ -\textbf{Input}. mp\_int $a$ \\ -\textbf{Output}. $b \leftarrow a^2$ \\ -\hline \\ -1. Init a temporary mp\_int of at least $2 \cdot a.used +1$ digits. (\textit{mp\_init\_size}) \\ -2. If step 1 failed return(\textit{MP\_MEM}) \\ -3. $t.used \leftarrow 2 \cdot a.used + 1$ \\ -4. For $ix$ from 0 to $a.used - 1$ do \\ -\hspace{3mm}Calculate the square. \\ -\hspace{3mm}4.1 $\hat r \leftarrow t_{2ix} + \left (a_{ix} \right )^2$ \\ -\hspace{3mm}4.2 $t_{2ix} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}Calculate the double products after the square. \\ -\hspace{3mm}4.3 $u \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -\hspace{3mm}4.4 For $iy$ from $ix + 1$ to $a.used - 1$ do \\ -\hspace{6mm}4.4.1 $\hat r \leftarrow 2 \cdot a_{ix}a_{iy} + t_{ix + iy} + u$ \\ -\hspace{6mm}4.4.2 $t_{ix + iy} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{6mm}4.4.3 $u \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -\hspace{3mm}Set the last carry. \\ -\hspace{3mm}4.5 While $u > 0$ do \\ -\hspace{6mm}4.5.1 $iy \leftarrow iy + 1$ \\ -\hspace{6mm}4.5.2 $\hat r \leftarrow t_{ix + iy} + u$ \\ -\hspace{6mm}4.5.3 $t_{ix + iy} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{6mm}4.5.4 $u \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -5. Clamp excess digits of $t$. (\textit{mp\_clamp}) \\ -6. Exchange $b$ and $t$. \\ -7. Clear $t$ (\textit{mp\_clear}) \\ -8. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm s\_mp\_sqr} -\end{figure} - -\textbf{Algorithm s\_mp\_sqr.} -This algorithm computes the square of an input using the three observations on squaring. It is based fairly faithfully on algorithm 14.16 of HAC -\cite[pp.596-597]{HAC}. Similar to algorithm s\_mp\_mul\_digs, a temporary mp\_int is allocated to hold the result of the squaring. This allows the -destination mp\_int to be the same as the source mp\_int. - -The outer loop of this algorithm begins on step 4. It is best to think of the outer loop as walking down the rows of the partial results, while -the inner loop computes the columns of the partial result. Step 4.1 and 4.2 compute the square term for each row, and step 4.3 and 4.4 propagate -the carry and compute the double products. - -The requirement that a mp\_word be able to represent the range $0 \le x < 2 \beta^2$ arises from this -very algorithm. The product $a_{ix}a_{iy}$ will lie in the range $0 \le x \le \beta^2 - 2\beta + 1$ which is obviously less than $\beta^2$ meaning that -when it is multiplied by two, it can be properly represented by a mp\_word. - -Similar to algorithm s\_mp\_mul\_digs, after every pass of the inner loop, the destination is correctly set to the sum of all of the partial -results calculated so far. This involves expensive carry propagation which will be eliminated in the next algorithm. - -EXAM,bn_s_mp_sqr.c - -Inside the outer loop (line @32,for@) the square term is calculated on line @35,r =@. The carry (line @42,>>@) has been -extracted from the mp\_word accumulator using a right shift. Aliases for $a_{ix}$ and $t_{ix+iy}$ are initialized -(lines @45,tmpx@ and @48,tmpt@) to simplify the inner loop. The doubling is performed using two -additions (line @57,r + r@) since it is usually faster than shifting, if not at least as fast. - -The important observation is that the inner loop does not begin at $iy = 0$ like for multiplication. As such the inner loops -get progressively shorter as the algorithm proceeds. This is what leads to the savings compared to using a multiplication to -square a number. - -\subsection{Faster Squaring by the ``Comba'' Method} -A major drawback to the baseline method is the requirement for single precision shifting inside the $O(n^2)$ nested loop. Squaring has an additional -drawback that it must double the product inside the inner loop as well. As for multiplication, the Comba technique can be used to eliminate these -performance hazards. - -The first obvious solution is to make an array of mp\_words which will hold all of the columns. This will indeed eliminate all of the carry -propagation operations from the inner loop. However, the inner product must still be doubled $O(n^2)$ times. The solution stems from the simple fact -that $2a + 2b + 2c = 2(a + b + c)$. That is the sum of all of the double products is equal to double the sum of all the products. For example, -$ab + ba + ac + ca = 2ab + 2ac = 2(ab + ac)$. - -However, we cannot simply double all of the columns, since the squares appear only once per row. The most practical solution is to have two -mp\_word arrays. One array will hold the squares and the other array will hold the double products. With both arrays the doubling and -carry propagation can be moved to a $O(n)$ work level outside the $O(n^2)$ level. In this case, we have an even simpler solution in mind. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{fast\_s\_mp\_sqr}. \\ -\textbf{Input}. mp\_int $a$ \\ -\textbf{Output}. $b \leftarrow a^2$ \\ -\hline \\ -Place an array of \textbf{MP\_WARRAY} mp\_digits named $W$ on the stack. \\ -1. If $b.alloc < 2a.used + 1$ then grow $b$ to $2a.used + 1$ digits. (\textit{mp\_grow}). \\ -2. If step 1 failed return(\textit{MP\_MEM}). \\ -\\ -3. $pa \leftarrow 2 \cdot a.used$ \\ -4. $\hat W1 \leftarrow 0$ \\ -5. for $ix$ from $0$ to $pa - 1$ do \\ -\hspace{3mm}5.1 $\_ \hat W \leftarrow 0$ \\ -\hspace{3mm}5.2 $ty \leftarrow \mbox{MIN}(a.used - 1, ix)$ \\ -\hspace{3mm}5.3 $tx \leftarrow ix - ty$ \\ -\hspace{3mm}5.4 $iy \leftarrow \mbox{MIN}(a.used - tx, ty + 1)$ \\ -\hspace{3mm}5.5 $iy \leftarrow \mbox{MIN}(iy, \lfloor \left (ty - tx + 1 \right )/2 \rfloor)$ \\ -\hspace{3mm}5.6 for $iz$ from $0$ to $iz - 1$ do \\ -\hspace{6mm}5.6.1 $\_ \hat W \leftarrow \_ \hat W + a_{tx + iz}a_{ty - iz}$ \\ -\hspace{3mm}5.7 $\_ \hat W \leftarrow 2 \cdot \_ \hat W + \hat W1$ \\ -\hspace{3mm}5.8 if $ix$ is even then \\ -\hspace{6mm}5.8.1 $\_ \hat W \leftarrow \_ \hat W + \left ( a_{\lfloor ix/2 \rfloor}\right )^2$ \\ -\hspace{3mm}5.9 $W_{ix} \leftarrow \_ \hat W (\mbox{mod }\beta)$ \\ -\hspace{3mm}5.10 $\hat W1 \leftarrow \lfloor \_ \hat W / \beta \rfloor$ \\ -\\ -6. $oldused \leftarrow b.used$ \\ -7. $b.used \leftarrow 2 \cdot a.used$ \\ -8. for $ix$ from $0$ to $pa - 1$ do \\ -\hspace{3mm}8.1 $b_{ix} \leftarrow W_{ix}$ \\ -9. for $ix$ from $pa$ to $oldused - 1$ do \\ -\hspace{3mm}9.1 $b_{ix} \leftarrow 0$ \\ -10. Clamp excess digits from $b$. (\textit{mp\_clamp}) \\ -11. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm fast\_s\_mp\_sqr} -\end{figure} - -\textbf{Algorithm fast\_s\_mp\_sqr.} -This algorithm computes the square of an input using the Comba technique. It is designed to be a replacement for algorithm -s\_mp\_sqr when the number of input digits is less than \textbf{MP\_WARRAY} and less than $\delta \over 2$. -This algorithm is very similar to the Comba multiplier except with a few key differences we shall make note of. - -First, we have an accumulator and carry variables $\_ \hat W$ and $\hat W1$ respectively. This is because the inner loop -products are to be doubled. If we had added the previous carry in we would be doubling too much. Next we perform an -addition MIN condition on $iy$ (step 5.5) to prevent overlapping digits. For example, $a_3 \cdot a_5$ is equal -$a_5 \cdot a_3$. Whereas in the multiplication case we would have $5 < a.used$ and $3 \ge 0$ is maintained since we double the sum -of the products just outside the inner loop we have to avoid doing this. This is also a good thing since we perform -fewer multiplications and the routine ends up being faster. - -Finally the last difference is the addition of the ``square'' term outside the inner loop (step 5.8). We add in the square -only to even outputs and it is the square of the term at the $\lfloor ix / 2 \rfloor$ position. - -EXAM,bn_fast_s_mp_sqr.c - -This implementation is essentially a copy of Comba multiplication with the appropriate changes added to make it faster for -the special case of squaring. - -\subsection{Polynomial Basis Squaring} -The same algorithm that performs optimal polynomial basis multiplication can be used to perform polynomial basis squaring. The minor exception -is that $\zeta_y = f(y)g(y)$ is actually equivalent to $\zeta_y = f(y)^2$ since $f(y) = g(y)$. Instead of performing $2n + 1$ -multiplications to find the $\zeta$ relations, squaring operations are performed instead. - -\subsection{Karatsuba Squaring} -Let $f(x) = ax + b$ represent the polynomial basis representation of a number to square. -Let $h(x) = \left ( f(x) \right )^2$ represent the square of the polynomial. The Karatsuba equation can be modified to square a -number with the following equation. - -\begin{equation} -h(x) = a^2x^2 + \left ((a + b)^2 - (a^2 + b^2) \right )x + b^2 -\end{equation} - -Upon closer inspection this equation only requires the calculation of three half-sized squares: $a^2$, $b^2$ and $(a + b)^2$. As in -Karatsuba multiplication, this algorithm can be applied recursively on the input and will achieve an asymptotic running time of -$O \left ( n^{lg(3)} \right )$. - -If the asymptotic times of Karatsuba squaring and multiplication are the same, why not simply use the multiplication algorithm -instead? The answer to this arises from the cutoff point for squaring. As in multiplication there exists a cutoff point, at which the -time required for a Comba based squaring and a Karatsuba based squaring meet. Due to the overhead inherent in the Karatsuba method, the cutoff -point is fairly high. For example, on an AMD Athlon XP processor with $\beta = 2^{28}$, the cutoff point is around 127 digits. - -Consider squaring a 200 digit number with this technique. It will be split into two 100 digit halves which are subsequently squared. -The 100 digit halves will not be squared using Karatsuba, but instead using the faster Comba based squaring algorithm. If Karatsuba multiplication -were used instead, the 100 digit numbers would be squared with a slower Comba based multiplication. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_karatsuba\_sqr}. \\ -\textbf{Input}. mp\_int $a$ \\ -\textbf{Output}. $b \leftarrow a^2$ \\ -\hline \\ -1. Initialize the following temporary mp\_ints: $x0$, $x1$, $t1$, $t2$, $x0x0$ and $x1x1$. \\ -2. If any of the initializations on step 1 failed return(\textit{MP\_MEM}). \\ -\\ -Split the input. e.g. $a = x1\beta^B + x0$ \\ -3. $B \leftarrow \lfloor a.used / 2 \rfloor$ \\ -4. $x0 \leftarrow a \mbox{ (mod }\beta^B\mbox{)}$ (\textit{mp\_mod\_2d}) \\ -5. $x1 \leftarrow \lfloor a / \beta^B \rfloor$ (\textit{mp\_lshd}) \\ -\\ -Calculate the three squares. \\ -6. $x0x0 \leftarrow x0^2$ (\textit{mp\_sqr}) \\ -7. $x1x1 \leftarrow x1^2$ \\ -8. $t1 \leftarrow x1 + x0$ (\textit{s\_mp\_add}) \\ -9. $t1 \leftarrow t1^2$ \\ -\\ -Compute the middle term. \\ -10. $t2 \leftarrow x0x0 + x1x1$ (\textit{s\_mp\_add}) \\ -11. $t1 \leftarrow t1 - t2$ \\ -\\ -Compute final product. \\ -12. $t1 \leftarrow t1\beta^B$ (\textit{mp\_lshd}) \\ -13. $x1x1 \leftarrow x1x1\beta^{2B}$ \\ -14. $t1 \leftarrow t1 + x0x0$ \\ -15. $b \leftarrow t1 + x1x1$ \\ -16. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_karatsuba\_sqr} -\end{figure} - -\textbf{Algorithm mp\_karatsuba\_sqr.} -This algorithm computes the square of an input $a$ using the Karatsuba technique. This algorithm is very similar to the Karatsuba based -multiplication algorithm with the exception that the three half-size multiplications have been replaced with three half-size squarings. - -The radix point for squaring is simply placed exactly in the middle of the digits when the input has an odd number of digits, otherwise it is -placed just below the middle. Step 3, 4 and 5 compute the two halves required using $B$ -as the radix point. The first two squares in steps 6 and 7 are rather straightforward while the last square is of a more compact form. - -By expanding $\left (x1 + x0 \right )^2$, the $x1^2$ and $x0^2$ terms in the middle disappear, that is $(x0 - x1)^2 - (x1^2 + x0^2) = 2 \cdot x0 \cdot x1$. -Now if $5n$ single precision additions and a squaring of $n$-digits is faster than multiplying two $n$-digit numbers and doubling then -this method is faster. Assuming no further recursions occur, the difference can be estimated with the following inequality. - -Let $p$ represent the cost of a single precision addition and $q$ the cost of a single precision multiplication both in terms of time\footnote{Or -machine clock cycles.}. - -\begin{equation} -5pn +{{q(n^2 + n)} \over 2} \le pn + qn^2 -\end{equation} - -For example, on an AMD Athlon XP processor $p = {1 \over 3}$ and $q = 6$. This implies that the following inequality should hold. -\begin{center} -\begin{tabular}{rcl} -${5n \over 3} + 3n^2 + 3n$ & $<$ & ${n \over 3} + 6n^2$ \\ -${5 \over 3} + 3n + 3$ & $<$ & ${1 \over 3} + 6n$ \\ -${13 \over 9}$ & $<$ & $n$ \\ -\end{tabular} -\end{center} - -This results in a cutoff point around $n = 2$. As a consequence it is actually faster to compute the middle term the ``long way'' on processors -where multiplication is substantially slower\footnote{On the Athlon there is a 1:17 ratio between clock cycles for addition and multiplication. On -the Intel P4 processor this ratio is 1:29 making this method even more beneficial. The only common exception is the ARMv4 processor which has a -ratio of 1:7. } than simpler operations such as addition. - -EXAM,bn_mp_karatsuba_sqr.c - -This implementation is largely based on the implementation of algorithm mp\_karatsuba\_mul. It uses the same inline style to copy and -shift the input into the two halves. The loop from line @54,{@ to line @70,}@ has been modified since only one input exists. The \textbf{used} -count of both $x0$ and $x1$ is fixed up and $x0$ is clamped before the calculations begin. At this point $x1$ and $x0$ are valid equivalents -to the respective halves as if mp\_rshd and mp\_mod\_2d had been used. - -By inlining the copy and shift operations the cutoff point for Karatsuba multiplication can be lowered. On the Athlon the cutoff point -is exactly at the point where Comba squaring can no longer be used (\textit{128 digits}). On slower processors such as the Intel P4 -it is actually below the Comba limit (\textit{at 110 digits}). - -This routine uses the same error trap coding style as mp\_karatsuba\_sqr. As the temporary variables are initialized errors are -redirected to the error trap higher up. If the algorithm completes without error the error code is set to \textbf{MP\_OKAY} and -mp\_clears are executed normally. - -\subsection{Toom-Cook Squaring} -The Toom-Cook squaring algorithm mp\_toom\_sqr is heavily based on the algorithm mp\_toom\_mul with the exception that squarings are used -instead of multiplication to find the five relations. The reader is encouraged to read the description of the latter algorithm and try to -derive their own Toom-Cook squaring algorithm. - -\subsection{High Level Squaring} -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_sqr}. \\ -\textbf{Input}. mp\_int $a$ \\ -\textbf{Output}. $b \leftarrow a^2$ \\ -\hline \\ -1. If $a.used \ge TOOM\_SQR\_CUTOFF$ then \\ -\hspace{3mm}1.1 $b \leftarrow a^2$ using algorithm mp\_toom\_sqr \\ -2. else if $a.used \ge KARATSUBA\_SQR\_CUTOFF$ then \\ -\hspace{3mm}2.1 $b \leftarrow a^2$ using algorithm mp\_karatsuba\_sqr \\ -3. else \\ -\hspace{3mm}3.1 $digs \leftarrow a.used + b.used + 1$ \\ -\hspace{3mm}3.2 If $digs < MP\_ARRAY$ and $a.used \le \delta$ then \\ -\hspace{6mm}3.2.1 $b \leftarrow a^2$ using algorithm fast\_s\_mp\_sqr. \\ -\hspace{3mm}3.3 else \\ -\hspace{6mm}3.3.1 $b \leftarrow a^2$ using algorithm s\_mp\_sqr. \\ -4. $b.sign \leftarrow MP\_ZPOS$ \\ -5. Return the result of the unsigned squaring performed. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_sqr} -\end{figure} - -\textbf{Algorithm mp\_sqr.} -This algorithm computes the square of the input using one of four different algorithms. If the input is very large and has at least -\textbf{TOOM\_SQR\_CUTOFF} or \textbf{KARATSUBA\_SQR\_CUTOFF} digits then either the Toom-Cook or the Karatsuba Squaring algorithm is used. If -neither of the polynomial basis algorithms should be used then either the Comba or baseline algorithm is used. - -EXAM,bn_mp_sqr.c - -\section*{Exercises} -\begin{tabular}{cl} -$\left [ 3 \right ] $ & Devise an efficient algorithm for selection of the radix point to handle inputs \\ - & that have different number of digits in Karatsuba multiplication. \\ - & \\ -$\left [ 2 \right ] $ & In ~SQUARE~ the fact that every column of a squaring is made up \\ - & of double products and at most one square is stated. Prove this statement. \\ - & \\ -$\left [ 3 \right ] $ & Prove the equation for Karatsuba squaring. \\ - & \\ -$\left [ 1 \right ] $ & Prove that Karatsuba squaring requires $O \left (n^{lg(3)} \right )$ time. \\ - & \\ -$\left [ 2 \right ] $ & Determine the minimal ratio between addition and multiplication clock cycles \\ - & required for equation $6.7$ to be true. \\ - & \\ -$\left [ 3 \right ] $ & Implement a threaded version of Comba multiplication (and squaring) where you \\ - & compute subsets of the columns in each thread. Determine a cutoff point where \\ - & it is effective and add the logic to mp\_mul() and mp\_sqr(). \\ - &\\ -$\left [ 4 \right ] $ & Same as the previous but also modify the Karatsuba and Toom-Cook. You must \\ - & increase the throughput of mp\_exptmod() for random odd moduli in the range \\ - & $512 \ldots 4096$ bits significantly ($> 2x$) to complete this challenge. \\ - & \\ -\end{tabular} - -\chapter{Modular Reduction} -MARK,REDUCTION -\section{Basics of Modular Reduction} -\index{modular residue} -Modular reduction is an operation that arises quite often within public key cryptography algorithms and various number theoretic algorithms, -such as factoring. Modular reduction algorithms are the third class of algorithms of the ``multipliers'' set. A number $a$ is said to be \textit{reduced} -modulo another number $b$ by finding the remainder of the division $a/b$. Full integer division with remainder is a topic to be covered -in~\ref{sec:division}. - -Modular reduction is equivalent to solving for $r$ in the following equation. $a = bq + r$ where $q = \lfloor a/b \rfloor$. The result -$r$ is said to be ``congruent to $a$ modulo $b$'' which is also written as $r \equiv a \mbox{ (mod }b\mbox{)}$. In other vernacular $r$ is known as the -``modular residue'' which leads to ``quadratic residue''\footnote{That's fancy talk for $b \equiv a^2 \mbox{ (mod }p\mbox{)}$.} and -other forms of residues. - -Modular reductions are normally used to create either finite groups, rings or fields. The most common usage for performance driven modular reductions -is in modular exponentiation algorithms. That is to compute $d = a^b \mbox{ (mod }c\mbox{)}$ as fast as possible. This operation is used in the -RSA and Diffie-Hellman public key algorithms, for example. Modular multiplication and squaring also appears as a fundamental operation in -elliptic curve cryptographic algorithms. As will be discussed in the subsequent chapter there exist fast algorithms for computing modular -exponentiations without having to perform (\textit{in this example}) $b - 1$ multiplications. These algorithms will produce partial results in the -range $0 \le x < c^2$ which can be taken advantage of to create several efficient algorithms. They have also been used to create redundancy check -algorithms known as CRCs, error correction codes such as Reed-Solomon and solve a variety of number theoeretic problems. - -\section{The Barrett Reduction} -The Barrett reduction algorithm \cite{BARRETT} was inspired by fast division algorithms which multiply by the reciprocal to emulate -division. Barretts observation was that the residue $c$ of $a$ modulo $b$ is equal to - -\begin{equation} -c = a - b \cdot \lfloor a/b \rfloor -\end{equation} - -Since algorithms such as modular exponentiation would be using the same modulus extensively, typical DSP\footnote{It is worth noting that Barrett's paper -targeted the DSP56K processor.} intuition would indicate the next step would be to replace $a/b$ by a multiplication by the reciprocal. However, -DSP intuition on its own will not work as these numbers are considerably larger than the precision of common DSP floating point data types. -It would take another common optimization to optimize the algorithm. - -\subsection{Fixed Point Arithmetic} -The trick used to optimize the above equation is based on a technique of emulating floating point data types with fixed precision integers. Fixed -point arithmetic would become very popular as it greatly optimize the ``3d-shooter'' genre of games in the mid 1990s when floating point units were -fairly slow if not unavailable. The idea behind fixed point arithmetic is to take a normal $k$-bit integer data type and break it into $p$-bit -integer and a $q$-bit fraction part (\textit{where $p+q = k$}). - -In this system a $k$-bit integer $n$ would actually represent $n/2^q$. For example, with $q = 4$ the integer $n = 37$ would actually represent the -value $2.3125$. To multiply two fixed point numbers the integers are multiplied using traditional arithmetic and subsequently normalized by -moving the implied decimal point back to where it should be. For example, with $q = 4$ to multiply the integers $9$ and $5$ they must be converted -to fixed point first by multiplying by $2^q$. Let $a = 9(2^q)$ represent the fixed point representation of $9$ and $b = 5(2^q)$ represent the -fixed point representation of $5$. The product $ab$ is equal to $45(2^{2q})$ which when normalized by dividing by $2^q$ produces $45(2^q)$. - -This technique became popular since a normal integer multiplication and logical shift right are the only required operations to perform a multiplication -of two fixed point numbers. Using fixed point arithmetic, division can be easily approximated by multiplying by the reciprocal. If $2^q$ is -equivalent to one than $2^q/b$ is equivalent to the fixed point approximation of $1/b$ using real arithmetic. Using this fact dividing an integer -$a$ by another integer $b$ can be achieved with the following expression. - -\begin{equation} -\lfloor a / b \rfloor \mbox{ }\approx\mbox{ } \lfloor (a \cdot \lfloor 2^q / b \rfloor)/2^q \rfloor -\end{equation} - -The precision of the division is proportional to the value of $q$. If the divisor $b$ is used frequently as is the case with -modular exponentiation pre-computing $2^q/b$ will allow a division to be performed with a multiplication and a right shift. Both operations -are considerably faster than division on most processors. - -Consider dividing $19$ by $5$. The correct result is $\lfloor 19/5 \rfloor = 3$. With $q = 3$ the reciprocal is $\lfloor 2^q/5 \rfloor = 1$ which -leads to a product of $19$ which when divided by $2^q$ produces $2$. However, with $q = 4$ the reciprocal is $\lfloor 2^q/5 \rfloor = 3$ and -the result of the emulated division is $\lfloor 3 \cdot 19 / 2^q \rfloor = 3$ which is correct. The value of $2^q$ must be close to or ideally -larger than the dividend. In effect if $a$ is the dividend then $q$ should allow $0 \le \lfloor a/2^q \rfloor \le 1$ in order for this approach -to work correctly. Plugging this form of divison into the original equation the following modular residue equation arises. - -\begin{equation} -c = a - b \cdot \lfloor (a \cdot \lfloor 2^q / b \rfloor)/2^q \rfloor -\end{equation} - -Using the notation from \cite{BARRETT} the value of $\lfloor 2^q / b \rfloor$ will be represented by the $\mu$ symbol. Using the $\mu$ -variable also helps re-inforce the idea that it is meant to be computed once and re-used. - -\begin{equation} -c = a - b \cdot \lfloor (a \cdot \mu)/2^q \rfloor -\end{equation} - -Provided that $2^q \ge a$ this algorithm will produce a quotient that is either exactly correct or off by a value of one. In the context of Barrett -reduction the value of $a$ is bound by $0 \le a \le (b - 1)^2$ meaning that $2^q \ge b^2$ is sufficient to ensure the reciprocal will have enough -precision. - -Let $n$ represent the number of digits in $b$. This algorithm requires approximately $2n^2$ single precision multiplications to produce the quotient and -another $n^2$ single precision multiplications to find the residue. In total $3n^2$ single precision multiplications are required to -reduce the number. - -For example, if $b = 1179677$ and $q = 41$ ($2^q > b^2$), then the reciprocal $\mu$ is equal to $\lfloor 2^q / b \rfloor = 1864089$. Consider reducing -$a = 180388626447$ modulo $b$ using the above reduction equation. The quotient using the new formula is $\lfloor (a \cdot \mu) / 2^q \rfloor = 152913$. -By subtracting $152913b$ from $a$ the correct residue $a \equiv 677346 \mbox{ (mod }b\mbox{)}$ is found. - -\subsection{Choosing a Radix Point} -Using the fixed point representation a modular reduction can be performed with $3n^2$ single precision multiplications. If that were the best -that could be achieved a full division\footnote{A division requires approximately $O(2cn^2)$ single precision multiplications for a small value of $c$. -See~\ref{sec:division} for further details.} might as well be used in its place. The key to optimizing the reduction is to reduce the precision of -the initial multiplication that finds the quotient. - -Let $a$ represent the number of which the residue is sought. Let $b$ represent the modulus used to find the residue. Let $m$ represent -the number of digits in $b$. For the purposes of this discussion we will assume that the number of digits in $a$ is $2m$, which is generally true if -two $m$-digit numbers have been multiplied. Dividing $a$ by $b$ is the same as dividing a $2m$ digit integer by a $m$ digit integer. Digits below the -$m - 1$'th digit of $a$ will contribute at most a value of $1$ to the quotient because $\beta^k < b$ for any $0 \le k \le m - 1$. Another way to -express this is by re-writing $a$ as two parts. If $a' \equiv a \mbox{ (mod }b^m\mbox{)}$ and $a'' = a - a'$ then -${a \over b} \equiv {{a' + a''} \over b}$ which is equivalent to ${a' \over b} + {a'' \over b}$. Since $a'$ is bound to be less than $b$ the quotient -is bound by $0 \le {a' \over b} < 1$. - -Since the digits of $a'$ do not contribute much to the quotient the observation is that they might as well be zero. However, if the digits -``might as well be zero'' they might as well not be there in the first place. Let $q_0 = \lfloor a/\beta^{m-1} \rfloor$ represent the input -with the irrelevant digits trimmed. Now the modular reduction is trimmed to the almost equivalent equation - -\begin{equation} -c = a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor -\end{equation} - -Note that the original divisor $2^q$ has been replaced with $\beta^{m+1}$ where in this case $q$ is a multiple of $lg(\beta)$. Also note that the -exponent on the divisor when added to the amount $q_0$ was shifted by equals $2m$. If the optimization had not been performed the divisor -would have the exponent $2m$ so in the end the exponents do ``add up''. Using the above equation the quotient -$\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ can be off from the true quotient by at most two. The original fixed point quotient can be off -by as much as one (\textit{provided the radix point is chosen suitably}) and now that the lower irrelevent digits have been trimmed the quotient -can be off by an additional value of one for a total of at most two. This implies that -$0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. By first subtracting $b$ times the quotient and then conditionally subtracting -$b$ once or twice the residue is found. - -The quotient is now found using $(m + 1)(m) = m^2 + m$ single precision multiplications and the residue with an additional $m^2$ single -precision multiplications, ignoring the subtractions required. In total $2m^2 + m$ single precision multiplications are required to find the residue. -This is considerably faster than the original attempt. - -For example, let $\beta = 10$ represent the radix of the digits. Let $b = 9999$ represent the modulus which implies $m = 4$. Let $a = 99929878$ -represent the value of which the residue is desired. In this case $q = 8$ since $10^7 < 9999^2$ meaning that $\mu = \lfloor \beta^{q}/b \rfloor = 10001$. -With the new observation the multiplicand for the quotient is equal to $q_0 = \lfloor a / \beta^{m - 1} \rfloor = 99929$. The quotient is then -$\lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor = 9993$. Subtracting $9993b$ from $a$ and the correct residue $a \equiv 9871 \mbox{ (mod }b\mbox{)}$ -is found. - -\subsection{Trimming the Quotient} -So far the reduction algorithm has been optimized from $3m^2$ single precision multiplications down to $2m^2 + m$ single precision multiplications. As -it stands now the algorithm is already fairly fast compared to a full integer division algorithm. However, there is still room for -optimization. - -After the first multiplication inside the quotient ($q_0 \cdot \mu$) the value is shifted right by $m + 1$ places effectively nullifying the lower -half of the product. It would be nice to be able to remove those digits from the product to effectively cut down the number of single precision -multiplications. If the number of digits in the modulus $m$ is far less than $\beta$ a full product is not required for the algorithm to work properly. -In fact the lower $m - 2$ digits will not affect the upper half of the product at all and do not need to be computed. - -The value of $\mu$ is a $m$-digit number and $q_0$ is a $m + 1$ digit number. Using a full multiplier $(m + 1)(m) = m^2 + m$ single precision -multiplications would be required. Using a multiplier that will only produce digits at and above the $m - 1$'th digit reduces the number -of single precision multiplications to ${m^2 + m} \over 2$ single precision multiplications. - -\subsection{Trimming the Residue} -After the quotient has been calculated it is used to reduce the input. As previously noted the algorithm is not exact and it can be off by a small -multiple of the modulus, that is $0 \le a - b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor < 3b$. If $b$ is $m$ digits than the -result of reduction equation is a value of at most $m + 1$ digits (\textit{provided $3 < \beta$}) implying that the upper $m - 1$ digits are -implicitly zero. - -The next optimization arises from this very fact. Instead of computing $b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ using a full -$O(m^2)$ multiplication algorithm only the lower $m+1$ digits of the product have to be computed. Similarly the value of $a$ can -be reduced modulo $\beta^{m+1}$ before the multiple of $b$ is subtracted which simplifes the subtraction as well. A multiplication that produces -only the lower $m+1$ digits requires ${m^2 + 3m - 2} \over 2$ single precision multiplications. - -With both optimizations in place the algorithm is the algorithm Barrett proposed. It requires $m^2 + 2m - 1$ single precision multiplications which -is considerably faster than the straightforward $3m^2$ method. - -\subsection{The Barrett Algorithm} -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_reduce}. \\ -\textbf{Input}. mp\_int $a$, mp\_int $b$ and $\mu = \lfloor \beta^{2m}/b \rfloor, m = \lceil lg_{\beta}(b) \rceil, (0 \le a < b^2, b > 1)$ \\ -\textbf{Output}. $a \mbox{ (mod }b\mbox{)}$ \\ -\hline \\ -Let $m$ represent the number of digits in $b$. \\ -1. Make a copy of $a$ and store it in $q$. (\textit{mp\_init\_copy}) \\ -2. $q \leftarrow \lfloor q / \beta^{m - 1} \rfloor$ (\textit{mp\_rshd}) \\ -\\ -Produce the quotient. \\ -3. $q \leftarrow q \cdot \mu$ (\textit{note: only produce digits at or above $m-1$}) \\ -4. $q \leftarrow \lfloor q / \beta^{m + 1} \rfloor$ \\ -\\ -Subtract the multiple of modulus from the input. \\ -5. $a \leftarrow a \mbox{ (mod }\beta^{m+1}\mbox{)}$ (\textit{mp\_mod\_2d}) \\ -6. $q \leftarrow q \cdot b \mbox{ (mod }\beta^{m+1}\mbox{)}$ (\textit{s\_mp\_mul\_digs}) \\ -7. $a \leftarrow a - q$ (\textit{mp\_sub}) \\ -\\ -Add $\beta^{m+1}$ if a carry occured. \\ -8. If $a < 0$ then (\textit{mp\_cmp\_d}) \\ -\hspace{3mm}8.1 $q \leftarrow 1$ (\textit{mp\_set}) \\ -\hspace{3mm}8.2 $q \leftarrow q \cdot \beta^{m+1}$ (\textit{mp\_lshd}) \\ -\hspace{3mm}8.3 $a \leftarrow a + q$ \\ -\\ -Now subtract the modulus if the residue is too large (e.g. quotient too small). \\ -9. While $a \ge b$ do (\textit{mp\_cmp}) \\ -\hspace{3mm}9.1 $c \leftarrow a - b$ \\ -10. Clear $q$. \\ -11. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_reduce} -\end{figure} - -\textbf{Algorithm mp\_reduce.} -This algorithm will reduce the input $a$ modulo $b$ in place using the Barrett algorithm. It is loosely based on algorithm 14.42 of HAC -\cite[pp. 602]{HAC} which is based on the paper from Paul Barrett \cite{BARRETT}. The algorithm has several restrictions and assumptions which must -be adhered to for the algorithm to work. - -First the modulus $b$ is assumed to be positive and greater than one. If the modulus were less than or equal to one than subtracting -a multiple of it would either accomplish nothing or actually enlarge the input. The input $a$ must be in the range $0 \le a < b^2$ in order -for the quotient to have enough precision. If $a$ is the product of two numbers that were already reduced modulo $b$, this will not be a problem. -Technically the algorithm will still work if $a \ge b^2$ but it will take much longer to finish. The value of $\mu$ is passed as an argument to this -algorithm and is assumed to be calculated and stored before the algorithm is used. - -Recall that the multiplication for the quotient on step 3 must only produce digits at or above the $m-1$'th position. An algorithm called -$s\_mp\_mul\_high\_digs$ which has not been presented is used to accomplish this task. The algorithm is based on $s\_mp\_mul\_digs$ except that -instead of stopping at a given level of precision it starts at a given level of precision. This optimal algorithm can only be used if the number -of digits in $b$ is very much smaller than $\beta$. - -While it is known that -$a \ge b \cdot \lfloor (q_0 \cdot \mu) / \beta^{m+1} \rfloor$ only the lower $m+1$ digits are being used to compute the residue, so an implied -``borrow'' from the higher digits might leave a negative result. After the multiple of the modulus has been subtracted from $a$ the residue must be -fixed up in case it is negative. The invariant $\beta^{m+1}$ must be added to the residue to make it positive again. - -The while loop at step 9 will subtract $b$ until the residue is less than $b$. If the algorithm is performed correctly this step is -performed at most twice, and on average once. However, if $a \ge b^2$ than it will iterate substantially more times than it should. - -EXAM,bn_mp_reduce.c - -The first multiplication that determines the quotient can be performed by only producing the digits from $m - 1$ and up. This essentially halves -the number of single precision multiplications required. However, the optimization is only safe if $\beta$ is much larger than the number of digits -in the modulus. In the source code this is evaluated on lines @36,if@ to @44,}@ where algorithm s\_mp\_mul\_high\_digs is used when it is -safe to do so. - -\subsection{The Barrett Setup Algorithm} -In order to use algorithm mp\_reduce the value of $\mu$ must be calculated in advance. Ideally this value should be computed once and stored for -future use so that the Barrett algorithm can be used without delay. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_reduce\_setup}. \\ -\textbf{Input}. mp\_int $a$ ($a > 1$) \\ -\textbf{Output}. $\mu \leftarrow \lfloor \beta^{2m}/a \rfloor$ \\ -\hline \\ -1. $\mu \leftarrow 2^{2 \cdot lg(\beta) \cdot m}$ (\textit{mp\_2expt}) \\ -2. $\mu \leftarrow \lfloor \mu / b \rfloor$ (\textit{mp\_div}) \\ -3. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_reduce\_setup} -\end{figure} - -\textbf{Algorithm mp\_reduce\_setup.} -This algorithm computes the reciprocal $\mu$ required for Barrett reduction. First $\beta^{2m}$ is calculated as $2^{2 \cdot lg(\beta) \cdot m}$ which -is equivalent and much faster. The final value is computed by taking the integer quotient of $\lfloor \mu / b \rfloor$. - -EXAM,bn_mp_reduce_setup.c - -This simple routine calculates the reciprocal $\mu$ required by Barrett reduction. Note the extended usage of algorithm mp\_div where the variable -which would received the remainder is passed as NULL. As will be discussed in~\ref{sec:division} the division routine allows both the quotient and the -remainder to be passed as NULL meaning to ignore the value. - -\section{The Montgomery Reduction} -Montgomery reduction\footnote{Thanks to Niels Ferguson for his insightful explanation of the algorithm.} \cite{MONT} is by far the most interesting -form of reduction in common use. It computes a modular residue which is not actually equal to the residue of the input yet instead equal to a -residue times a constant. However, as perplexing as this may sound the algorithm is relatively simple and very efficient. - -Throughout this entire section the variable $n$ will represent the modulus used to form the residue. As will be discussed shortly the value of -$n$ must be odd. The variable $x$ will represent the quantity of which the residue is sought. Similar to the Barrett algorithm the input -is restricted to $0 \le x < n^2$. To begin the description some simple number theory facts must be established. - -\textbf{Fact 1.} Adding $n$ to $x$ does not change the residue since in effect it adds one to the quotient $\lfloor x / n \rfloor$. Another way -to explain this is that $n$ is (\textit{or multiples of $n$ are}) congruent to zero modulo $n$. Adding zero will not change the value of the residue. - -\textbf{Fact 2.} If $x$ is even then performing a division by two in $\Z$ is congruent to $x \cdot 2^{-1} \mbox{ (mod }n\mbox{)}$. Actually -this is an application of the fact that if $x$ is evenly divisible by any $k \in \Z$ then division in $\Z$ will be congruent to -multiplication by $k^{-1}$ modulo $n$. - -From these two simple facts the following simple algorithm can be derived. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Montgomery Reduction}. \\ -\textbf{Input}. Integer $x$, $n$ and $k$ \\ -\textbf{Output}. $2^{-k}x \mbox{ (mod }n\mbox{)}$ \\ -\hline \\ -1. for $t$ from $1$ to $k$ do \\ -\hspace{3mm}1.1 If $x$ is odd then \\ -\hspace{6mm}1.1.1 $x \leftarrow x + n$ \\ -\hspace{3mm}1.2 $x \leftarrow x/2$ \\ -2. Return $x$. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Montgomery Reduction} -\end{figure} - -The algorithm reduces the input one bit at a time using the two congruencies stated previously. Inside the loop $n$, which is odd, is -added to $x$ if $x$ is odd. This forces $x$ to be even which allows the division by two in $\Z$ to be congruent to a modular division by two. Since -$x$ is assumed to be initially much larger than $n$ the addition of $n$ will contribute an insignificant magnitude to $x$. Let $r$ represent the -final result of the Montgomery algorithm. If $k > lg(n)$ and $0 \le x < n^2$ then the final result is limited to -$0 \le r < \lfloor x/2^k \rfloor + n$. As a result at most a single subtraction is required to get the residue desired. - -\begin{figure}[here] -\begin{small} -\begin{center} -\begin{tabular}{|c|l|} -\hline \textbf{Step number ($t$)} & \textbf{Result ($x$)} \\ -\hline $1$ & $x + n = 5812$, $x/2 = 2906$ \\ -\hline $2$ & $x/2 = 1453$ \\ -\hline $3$ & $x + n = 1710$, $x/2 = 855$ \\ -\hline $4$ & $x + n = 1112$, $x/2 = 556$ \\ -\hline $5$ & $x/2 = 278$ \\ -\hline $6$ & $x/2 = 139$ \\ -\hline $7$ & $x + n = 396$, $x/2 = 198$ \\ -\hline $8$ & $x/2 = 99$ \\ -\hline $9$ & $x + n = 356$, $x/2 = 178$ \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Example of Montgomery Reduction (I)} -\label{fig:MONT1} -\end{figure} - -Consider the example in figure~\ref{fig:MONT1} which reduces $x = 5555$ modulo $n = 257$ when $k = 9$ (note $\beta^k = 512$ which is larger than $n$). The result of -the algorithm $r = 178$ is congruent to the value of $2^{-9} \cdot 5555 \mbox{ (mod }257\mbox{)}$. When $r$ is multiplied by $2^9$ modulo $257$ the correct residue -$r \equiv 158$ is produced. - -Let $k = \lfloor lg(n) \rfloor + 1$ represent the number of bits in $n$. The current algorithm requires $2k^2$ single precision shifts -and $k^2$ single precision additions. At this rate the algorithm is most certainly slower than Barrett reduction and not terribly useful. -Fortunately there exists an alternative representation of the algorithm. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Montgomery Reduction} (modified I). \\ -\textbf{Input}. Integer $x$, $n$ and $k$ ($2^k > n$) \\ -\textbf{Output}. $2^{-k}x \mbox{ (mod }n\mbox{)}$ \\ -\hline \\ -1. for $t$ from $1$ to $k$ do \\ -\hspace{3mm}1.1 If the $t$'th bit of $x$ is one then \\ -\hspace{6mm}1.1.1 $x \leftarrow x + 2^tn$ \\ -2. Return $x/2^k$. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Montgomery Reduction (modified I)} -\end{figure} - -This algorithm is equivalent since $2^tn$ is a multiple of $n$ and the lower $k$ bits of $x$ are zero by step 2. The number of single -precision shifts has now been reduced from $2k^2$ to $k^2 + k$ which is only a small improvement. - -\begin{figure}[here] -\begin{small} -\begin{center} -\begin{tabular}{|c|l|r|} -\hline \textbf{Step number ($t$)} & \textbf{Result ($x$)} & \textbf{Result ($x$) in Binary} \\ -\hline -- & $5555$ & $1010110110011$ \\ -\hline $1$ & $x + 2^{0}n = 5812$ & $1011010110100$ \\ -\hline $2$ & $5812$ & $1011010110100$ \\ -\hline $3$ & $x + 2^{2}n = 6840$ & $1101010111000$ \\ -\hline $4$ & $x + 2^{3}n = 8896$ & $10001011000000$ \\ -\hline $5$ & $8896$ & $10001011000000$ \\ -\hline $6$ & $8896$ & $10001011000000$ \\ -\hline $7$ & $x + 2^{6}n = 25344$ & $110001100000000$ \\ -\hline $8$ & $25344$ & $110001100000000$ \\ -\hline $9$ & $x + 2^{7}n = 91136$ & $10110010000000000$ \\ -\hline -- & $x/2^k = 178$ & \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Example of Montgomery Reduction (II)} -\label{fig:MONT2} -\end{figure} - -Figure~\ref{fig:MONT2} demonstrates the modified algorithm reducing $x = 5555$ modulo $n = 257$ with $k = 9$. -With this algorithm a single shift right at the end is the only right shift required to reduce the input instead of $k$ right shifts inside the -loop. Note that for the iterations $t = 2, 5, 6$ and $8$ where the result $x$ is not changed. In those iterations the $t$'th bit of $x$ is -zero and the appropriate multiple of $n$ does not need to be added to force the $t$'th bit of the result to zero. - -\subsection{Digit Based Montgomery Reduction} -Instead of computing the reduction on a bit-by-bit basis it is actually much faster to compute it on digit-by-digit basis. Consider the -previous algorithm re-written to compute the Montgomery reduction in this new fashion. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Montgomery Reduction} (modified II). \\ -\textbf{Input}. Integer $x$, $n$ and $k$ ($\beta^k > n$) \\ -\textbf{Output}. $\beta^{-k}x \mbox{ (mod }n\mbox{)}$ \\ -\hline \\ -1. for $t$ from $0$ to $k - 1$ do \\ -\hspace{3mm}1.1 $x \leftarrow x + \mu n \beta^t$ \\ -2. Return $x/\beta^k$. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Montgomery Reduction (modified II)} -\end{figure} - -The value $\mu n \beta^t$ is a multiple of the modulus $n$ meaning that it will not change the residue. If the first digit of -the value $\mu n \beta^t$ equals the negative (modulo $\beta$) of the $t$'th digit of $x$ then the addition will result in a zero digit. This -problem breaks down to solving the following congruency. - -\begin{center} -\begin{tabular}{rcl} -$x_t + \mu n_0$ & $\equiv$ & $0 \mbox{ (mod }\beta\mbox{)}$ \\ -$\mu n_0$ & $\equiv$ & $-x_t \mbox{ (mod }\beta\mbox{)}$ \\ -$\mu$ & $\equiv$ & $-x_t/n_0 \mbox{ (mod }\beta\mbox{)}$ \\ -\end{tabular} -\end{center} - -In each iteration of the loop on step 1 a new value of $\mu$ must be calculated. The value of $-1/n_0 \mbox{ (mod }\beta\mbox{)}$ is used -extensively in this algorithm and should be precomputed. Let $\rho$ represent the negative of the modular inverse of $n_0$ modulo $\beta$. - -For example, let $\beta = 10$ represent the radix. Let $n = 17$ represent the modulus which implies $k = 2$ and $\rho \equiv 7$. Let $x = 33$ -represent the value to reduce. - -\newpage\begin{figure} -\begin{center} -\begin{tabular}{|c|c|c|} -\hline \textbf{Step ($t$)} & \textbf{Value of $x$} & \textbf{Value of $\mu$} \\ -\hline -- & $33$ & --\\ -\hline $0$ & $33 + \mu n = 50$ & $1$ \\ -\hline $1$ & $50 + \mu n \beta = 900$ & $5$ \\ -\hline -\end{tabular} -\end{center} -\caption{Example of Montgomery Reduction} -\end{figure} - -The final result $900$ is then divided by $\beta^k$ to produce the final result $9$. The first observation is that $9 \nequiv x \mbox{ (mod }n\mbox{)}$ -which implies the result is not the modular residue of $x$ modulo $n$. However, recall that the residue is actually multiplied by $\beta^{-k}$ in -the algorithm. To get the true residue the value must be multiplied by $\beta^k$. In this case $\beta^k \equiv 15 \mbox{ (mod }n\mbox{)}$ and -the correct residue is $9 \cdot 15 \equiv 16 \mbox{ (mod }n\mbox{)}$. - -\subsection{Baseline Montgomery Reduction} -The baseline Montgomery reduction algorithm will produce the residue for any size input. It is designed to be a catch-all algororithm for -Montgomery reductions. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_montgomery\_reduce}. \\ -\textbf{Input}. mp\_int $x$, mp\_int $n$ and a digit $\rho \equiv -1/n_0 \mbox{ (mod }n\mbox{)}$. \\ -\hspace{11.5mm}($0 \le x < n^2, n > 1, (n, \beta) = 1, \beta^k > n$) \\ -\textbf{Output}. $\beta^{-k}x \mbox{ (mod }n\mbox{)}$ \\ -\hline \\ -1. $digs \leftarrow 2n.used + 1$ \\ -2. If $digs < MP\_ARRAY$ and $m.used < \delta$ then \\ -\hspace{3mm}2.1 Use algorithm fast\_mp\_montgomery\_reduce instead. \\ -\\ -Setup $x$ for the reduction. \\ -3. If $x.alloc < digs$ then grow $x$ to $digs$ digits. \\ -4. $x.used \leftarrow digs$ \\ -\\ -Eliminate the lower $k$ digits. \\ -5. For $ix$ from $0$ to $k - 1$ do \\ -\hspace{3mm}5.1 $\mu \leftarrow x_{ix} \cdot \rho \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}5.2 $u \leftarrow 0$ \\ -\hspace{3mm}5.3 For $iy$ from $0$ to $k - 1$ do \\ -\hspace{6mm}5.3.1 $\hat r \leftarrow \mu n_{iy} + x_{ix + iy} + u$ \\ -\hspace{6mm}5.3.2 $x_{ix + iy} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{6mm}5.3.3 $u \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -\hspace{3mm}5.4 While $u > 0$ do \\ -\hspace{6mm}5.4.1 $iy \leftarrow iy + 1$ \\ -\hspace{6mm}5.4.2 $x_{ix + iy} \leftarrow x_{ix + iy} + u$ \\ -\hspace{6mm}5.4.3 $u \leftarrow \lfloor x_{ix+iy} / \beta \rfloor$ \\ -\hspace{6mm}5.4.4 $x_{ix + iy} \leftarrow x_{ix+iy} \mbox{ (mod }\beta\mbox{)}$ \\ -\\ -Divide by $\beta^k$ and fix up as required. \\ -6. $x \leftarrow \lfloor x / \beta^k \rfloor$ \\ -7. If $x \ge n$ then \\ -\hspace{3mm}7.1 $x \leftarrow x - n$ \\ -8. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_montgomery\_reduce} -\end{figure} - -\textbf{Algorithm mp\_montgomery\_reduce.} -This algorithm reduces the input $x$ modulo $n$ in place using the Montgomery reduction algorithm. The algorithm is loosely based -on algorithm 14.32 of \cite[pp.601]{HAC} except it merges the multiplication of $\mu n \beta^t$ with the addition in the inner loop. The -restrictions on this algorithm are fairly easy to adapt to. First $0 \le x < n^2$ bounds the input to numbers in the same range as -for the Barrett algorithm. Additionally if $n > 1$ and $n$ is odd there will exist a modular inverse $\rho$. $\rho$ must be calculated in -advance of this algorithm. Finally the variable $k$ is fixed and a pseudonym for $n.used$. - -Step 2 decides whether a faster Montgomery algorithm can be used. It is based on the Comba technique meaning that there are limits on -the size of the input. This algorithm is discussed in ~COMBARED~. - -Step 5 is the main reduction loop of the algorithm. The value of $\mu$ is calculated once per iteration in the outer loop. The inner loop -calculates $x + \mu n \beta^{ix}$ by multiplying $\mu n$ and adding the result to $x$ shifted by $ix$ digits. Both the addition and -multiplication are performed in the same loop to save time and memory. Step 5.4 will handle any additional carries that escape the inner loop. - -Using a quick inspection this algorithm requires $n$ single precision multiplications for the outer loop and $n^2$ single precision multiplications -in the inner loop. In total $n^2 + n$ single precision multiplications which compares favourably to Barrett at $n^2 + 2n - 1$ single precision -multiplications. - -EXAM,bn_mp_montgomery_reduce.c - -This is the baseline implementation of the Montgomery reduction algorithm. Lines @30,digs@ to @35,}@ determine if the Comba based -routine can be used instead. Line @47,mu@ computes the value of $\mu$ for that particular iteration of the outer loop. - -The multiplication $\mu n \beta^{ix}$ is performed in one step in the inner loop. The alias $tmpx$ refers to the $ix$'th digit of $x$ and -the alias $tmpn$ refers to the modulus $n$. - -\subsection{Faster ``Comba'' Montgomery Reduction} -MARK,COMBARED - -The Montgomery reduction requires fewer single precision multiplications than a Barrett reduction, however it is much slower due to the serial -nature of the inner loop. The Barrett reduction algorithm requires two slightly modified multipliers which can be implemented with the Comba -technique. The Montgomery reduction algorithm cannot directly use the Comba technique to any significant advantage since the inner loop calculates -a $k \times 1$ product $k$ times. - -The biggest obstacle is that at the $ix$'th iteration of the outer loop the value of $x_{ix}$ is required to calculate $\mu$. This means the -carries from $0$ to $ix - 1$ must have been propagated upwards to form a valid $ix$'th digit. The solution as it turns out is very simple. -Perform a Comba like multiplier and inside the outer loop just after the inner loop fix up the $ix + 1$'th digit by forwarding the carry. - -With this change in place the Montgomery reduction algorithm can be performed with a Comba style multiplication loop which substantially increases -the speed of the algorithm. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{fast\_mp\_montgomery\_reduce}. \\ -\textbf{Input}. mp\_int $x$, mp\_int $n$ and a digit $\rho \equiv -1/n_0 \mbox{ (mod }n\mbox{)}$. \\ -\hspace{11.5mm}($0 \le x < n^2, n > 1, (n, \beta) = 1, \beta^k > n$) \\ -\textbf{Output}. $\beta^{-k}x \mbox{ (mod }n\mbox{)}$ \\ -\hline \\ -Place an array of \textbf{MP\_WARRAY} mp\_word variables called $\hat W$ on the stack. \\ -1. if $x.alloc < n.used + 1$ then grow $x$ to $n.used + 1$ digits. \\ -Copy the digits of $x$ into the array $\hat W$ \\ -2. For $ix$ from $0$ to $x.used - 1$ do \\ -\hspace{3mm}2.1 $\hat W_{ix} \leftarrow x_{ix}$ \\ -3. For $ix$ from $x.used$ to $2n.used - 1$ do \\ -\hspace{3mm}3.1 $\hat W_{ix} \leftarrow 0$ \\ -Elimiate the lower $k$ digits. \\ -4. for $ix$ from $0$ to $n.used - 1$ do \\ -\hspace{3mm}4.1 $\mu \leftarrow \hat W_{ix} \cdot \rho \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}4.2 For $iy$ from $0$ to $n.used - 1$ do \\ -\hspace{6mm}4.2.1 $\hat W_{iy + ix} \leftarrow \hat W_{iy + ix} + \mu \cdot n_{iy}$ \\ -\hspace{3mm}4.3 $\hat W_{ix + 1} \leftarrow \hat W_{ix + 1} + \lfloor \hat W_{ix} / \beta \rfloor$ \\ -Propagate carries upwards. \\ -5. for $ix$ from $n.used$ to $2n.used + 1$ do \\ -\hspace{3mm}5.1 $\hat W_{ix + 1} \leftarrow \hat W_{ix + 1} + \lfloor \hat W_{ix} / \beta \rfloor$ \\ -Shift right and reduce modulo $\beta$ simultaneously. \\ -6. for $ix$ from $0$ to $n.used + 1$ do \\ -\hspace{3mm}6.1 $x_{ix} \leftarrow \hat W_{ix + n.used} \mbox{ (mod }\beta\mbox{)}$ \\ -Zero excess digits and fixup $x$. \\ -7. if $x.used > n.used + 1$ then do \\ -\hspace{3mm}7.1 for $ix$ from $n.used + 1$ to $x.used - 1$ do \\ -\hspace{6mm}7.1.1 $x_{ix} \leftarrow 0$ \\ -8. $x.used \leftarrow n.used + 1$ \\ -9. Clamp excessive digits of $x$. \\ -10. If $x \ge n$ then \\ -\hspace{3mm}10.1 $x \leftarrow x - n$ \\ -11. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm fast\_mp\_montgomery\_reduce} -\end{figure} - -\textbf{Algorithm fast\_mp\_montgomery\_reduce.} -This algorithm will compute the Montgomery reduction of $x$ modulo $n$ using the Comba technique. It is on most computer platforms significantly -faster than algorithm mp\_montgomery\_reduce and algorithm mp\_reduce (\textit{Barrett reduction}). The algorithm has the same restrictions -on the input as the baseline reduction algorithm. An additional two restrictions are imposed on this algorithm. The number of digits $k$ in the -the modulus $n$ must not violate $MP\_WARRAY > 2k +1$ and $n < \delta$. When $\beta = 2^{28}$ this algorithm can be used to reduce modulo -a modulus of at most $3,556$ bits in length. - -As in the other Comba reduction algorithms there is a $\hat W$ array which stores the columns of the product. It is initially filled with the -contents of $x$ with the excess digits zeroed. The reduction loop is very similar the to the baseline loop at heart. The multiplication on step -4.1 can be single precision only since $ab \mbox{ (mod }\beta\mbox{)} \equiv (a \mbox{ mod }\beta)(b \mbox{ mod }\beta)$. Some multipliers such -as those on the ARM processors take a variable length time to complete depending on the number of bytes of result it must produce. By performing -a single precision multiplication instead half the amount of time is spent. - -Also note that digit $\hat W_{ix}$ must have the carry from the $ix - 1$'th digit propagated upwards in order for this to work. That is what step -4.3 will do. In effect over the $n.used$ iterations of the outer loop the $n.used$'th lower columns all have the their carries propagated forwards. Note -how the upper bits of those same words are not reduced modulo $\beta$. This is because those values will be discarded shortly and there is no -point. - -Step 5 will propagate the remainder of the carries upwards. On step 6 the columns are reduced modulo $\beta$ and shifted simultaneously as they are -stored in the destination $x$. - -EXAM,bn_fast_mp_montgomery_reduce.c - -The $\hat W$ array is first filled with digits of $x$ on line @49,for@ then the rest of the digits are zeroed on line @54,for@. Both loops share -the same alias variables to make the code easier to read. - -The value of $\mu$ is calculated in an interesting fashion. First the value $\hat W_{ix}$ is reduced modulo $\beta$ and cast to a mp\_digit. This -forces the compiler to use a single precision multiplication and prevents any concerns about loss of precision. Line @101,>>@ fixes the carry -for the next iteration of the loop by propagating the carry from $\hat W_{ix}$ to $\hat W_{ix+1}$. - -The for loop on line @113,for@ propagates the rest of the carries upwards through the columns. The for loop on line @126,for@ reduces the columns -modulo $\beta$ and shifts them $k$ places at the same time. The alias $\_ \hat W$ actually refers to the array $\hat W$ starting at the $n.used$'th -digit, that is $\_ \hat W_{t} = \hat W_{n.used + t}$. - -\subsection{Montgomery Setup} -To calculate the variable $\rho$ a relatively simple algorithm will be required. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_montgomery\_setup}. \\ -\textbf{Input}. mp\_int $n$ ($n > 1$ and $(n, 2) = 1$) \\ -\textbf{Output}. $\rho \equiv -1/n_0 \mbox{ (mod }\beta\mbox{)}$ \\ -\hline \\ -1. $b \leftarrow n_0$ \\ -2. If $b$ is even return(\textit{MP\_VAL}) \\ -3. $x \leftarrow (((b + 2) \mbox{ AND } 4) << 1) + b$ \\ -4. for $k$ from 0 to $\lceil lg(lg(\beta)) \rceil - 2$ do \\ -\hspace{3mm}4.1 $x \leftarrow x \cdot (2 - bx)$ \\ -5. $\rho \leftarrow \beta - x \mbox{ (mod }\beta\mbox{)}$ \\ -6. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_montgomery\_setup} -\end{figure} - -\textbf{Algorithm mp\_montgomery\_setup.} -This algorithm will calculate the value of $\rho$ required within the Montgomery reduction algorithms. It uses a very interesting trick -to calculate $1/n_0$ when $\beta$ is a power of two. - -EXAM,bn_mp_montgomery_setup.c - -This source code computes the value of $\rho$ required to perform Montgomery reduction. It has been modified to avoid performing excess -multiplications when $\beta$ is not the default 28-bits. - -\section{The Diminished Radix Algorithm} -The Diminished Radix method of modular reduction \cite{DRMET} is a fairly clever technique which can be more efficient than either the Barrett -or Montgomery methods for certain forms of moduli. The technique is based on the following simple congruence. - -\begin{equation} -(x \mbox{ mod } n) + k \lfloor x / n \rfloor \equiv x \mbox{ (mod }(n - k)\mbox{)} -\end{equation} - -This observation was used in the MMB \cite{MMB} block cipher to create a diffusion primitive. It used the fact that if $n = 2^{31}$ and $k=1$ that -then a x86 multiplier could produce the 62-bit product and use the ``shrd'' instruction to perform a double-precision right shift. The proof -of the above equation is very simple. First write $x$ in the product form. - -\begin{equation} -x = qn + r -\end{equation} - -Now reduce both sides modulo $(n - k)$. - -\begin{equation} -x \equiv qk + r \mbox{ (mod }(n-k)\mbox{)} -\end{equation} - -The variable $n$ reduces modulo $n - k$ to $k$. By putting $q = \lfloor x/n \rfloor$ and $r = x \mbox{ mod } n$ -into the equation the original congruence is reproduced, thus concluding the proof. The following algorithm is based on this observation. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Diminished Radix Reduction}. \\ -\textbf{Input}. Integer $x$, $n$, $k$ \\ -\textbf{Output}. $x \mbox{ mod } (n - k)$ \\ -\hline \\ -1. $q \leftarrow \lfloor x / n \rfloor$ \\ -2. $q \leftarrow k \cdot q$ \\ -3. $x \leftarrow x \mbox{ (mod }n\mbox{)}$ \\ -4. $x \leftarrow x + q$ \\ -5. If $x \ge (n - k)$ then \\ -\hspace{3mm}5.1 $x \leftarrow x - (n - k)$ \\ -\hspace{3mm}5.2 Goto step 1. \\ -6. Return $x$ \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Diminished Radix Reduction} -\label{fig:DR} -\end{figure} - -This algorithm will reduce $x$ modulo $n - k$ and return the residue. If $0 \le x < (n - k)^2$ then the algorithm will loop almost always -once or twice and occasionally three times. For simplicity sake the value of $x$ is bounded by the following simple polynomial. - -\begin{equation} -0 \le x < n^2 + k^2 - 2nk -\end{equation} - -The true bound is $0 \le x < (n - k - 1)^2$ but this has quite a few more terms. The value of $q$ after step 1 is bounded by the following. - -\begin{equation} -q < n - 2k - k^2/n -\end{equation} - -Since $k^2$ is going to be considerably smaller than $n$ that term will always be zero. The value of $x$ after step 3 is bounded trivially as -$0 \le x < n$. By step four the sum $x + q$ is bounded by - -\begin{equation} -0 \le q + x < (k + 1)n - 2k^2 - 1 -\end{equation} - -With a second pass $q$ will be loosely bounded by $0 \le q < k^2$ after step 2 while $x$ will still be loosely bounded by $0 \le x < n$ after step 3. After the second pass it is highly unlike that the -sum in step 4 will exceed $n - k$. In practice fewer than three passes of the algorithm are required to reduce virtually every input in the -range $0 \le x < (n - k - 1)^2$. - -\begin{figure} -\begin{small} -\begin{center} -\begin{tabular}{|l|} -\hline -$x = 123456789, n = 256, k = 3$ \\ -\hline $q \leftarrow \lfloor x/n \rfloor = 482253$ \\ -$q \leftarrow q*k = 1446759$ \\ -$x \leftarrow x \mbox{ mod } n = 21$ \\ -$x \leftarrow x + q = 1446780$ \\ -$x \leftarrow x - (n - k) = 1446527$ \\ -\hline -$q \leftarrow \lfloor x/n \rfloor = 5650$ \\ -$q \leftarrow q*k = 16950$ \\ -$x \leftarrow x \mbox{ mod } n = 127$ \\ -$x \leftarrow x + q = 17077$ \\ -$x \leftarrow x - (n - k) = 16824$ \\ -\hline -$q \leftarrow \lfloor x/n \rfloor = 65$ \\ -$q \leftarrow q*k = 195$ \\ -$x \leftarrow x \mbox{ mod } n = 184$ \\ -$x \leftarrow x + q = 379$ \\ -$x \leftarrow x - (n - k) = 126$ \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Example Diminished Radix Reduction} -\label{fig:EXDR} -\end{figure} - -Figure~\ref{fig:EXDR} demonstrates the reduction of $x = 123456789$ modulo $n - k = 253$ when $n = 256$ and $k = 3$. Note that even while $x$ -is considerably larger than $(n - k - 1)^2 = 63504$ the algorithm still converges on the modular residue exceedingly fast. In this case only -three passes were required to find the residue $x \equiv 126$. - - -\subsection{Choice of Moduli} -On the surface this algorithm looks like a very expensive algorithm. It requires a couple of subtractions followed by multiplication and other -modular reductions. The usefulness of this algorithm becomes exceedingly clear when an appropriate modulus is chosen. - -Division in general is a very expensive operation to perform. The one exception is when the division is by a power of the radix of representation used. -Division by ten for example is simple for pencil and paper mathematics since it amounts to shifting the decimal place to the right. Similarly division -by two (\textit{or powers of two}) is very simple for binary computers to perform. It would therefore seem logical to choose $n$ of the form $2^p$ -which would imply that $\lfloor x / n \rfloor$ is a simple shift of $x$ right $p$ bits. - -However, there is one operation related to division of power of twos that is even faster than this. If $n = \beta^p$ then the division may be -performed by moving whole digits to the right $p$ places. In practice division by $\beta^p$ is much faster than division by $2^p$ for any $p$. -Also with the choice of $n = \beta^p$ reducing $x$ modulo $n$ merely requires zeroing the digits above the $p-1$'th digit of $x$. - -Throughout the next section the term ``restricted modulus'' will refer to a modulus of the form $\beta^p - k$ whereas the term ``unrestricted -modulus'' will refer to a modulus of the form $2^p - k$. The word ``restricted'' in this case refers to the fact that it is based on the -$2^p$ logic except $p$ must be a multiple of $lg(\beta)$. - -\subsection{Choice of $k$} -Now that division and reduction (\textit{step 1 and 3 of figure~\ref{fig:DR}}) have been optimized to simple digit operations the multiplication by $k$ -in step 2 is the most expensive operation. Fortunately the choice of $k$ is not terribly limited. For all intents and purposes it might -as well be a single digit. The smaller the value of $k$ is the faster the algorithm will be. - -\subsection{Restricted Diminished Radix Reduction} -The restricted Diminished Radix algorithm can quickly reduce an input modulo a modulus of the form $n = \beta^p - k$. This algorithm can reduce -an input $x$ within the range $0 \le x < n^2$ using only a couple passes of the algorithm demonstrated in figure~\ref{fig:DR}. The implementation -of this algorithm has been optimized to avoid additional overhead associated with a division by $\beta^p$, the multiplication by $k$ or the addition -of $x$ and $q$. The resulting algorithm is very efficient and can lead to substantial improvements over Barrett and Montgomery reduction when modular -exponentiations are performed. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_dr\_reduce}. \\ -\textbf{Input}. mp\_int $x$, $n$ and a mp\_digit $k = \beta - n_0$ \\ -\hspace{11.5mm}($0 \le x < n^2$, $n > 1$, $0 < k < \beta$) \\ -\textbf{Output}. $x \mbox{ mod } n$ \\ -\hline \\ -1. $m \leftarrow n.used$ \\ -2. If $x.alloc < 2m$ then grow $x$ to $2m$ digits. \\ -3. $\mu \leftarrow 0$ \\ -4. for $i$ from $0$ to $m - 1$ do \\ -\hspace{3mm}4.1 $\hat r \leftarrow k \cdot x_{m+i} + x_{i} + \mu$ \\ -\hspace{3mm}4.2 $x_{i} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}4.3 $\mu \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -5. $x_{m} \leftarrow \mu$ \\ -6. for $i$ from $m + 1$ to $x.used - 1$ do \\ -\hspace{3mm}6.1 $x_{i} \leftarrow 0$ \\ -7. Clamp excess digits of $x$. \\ -8. If $x \ge n$ then \\ -\hspace{3mm}8.1 $x \leftarrow x - n$ \\ -\hspace{3mm}8.2 Goto step 3. \\ -9. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_dr\_reduce} -\end{figure} - -\textbf{Algorithm mp\_dr\_reduce.} -This algorithm will perform the Dimished Radix reduction of $x$ modulo $n$. It has similar restrictions to that of the Barrett reduction -with the addition that $n$ must be of the form $n = \beta^m - k$ where $0 < k <\beta$. - -This algorithm essentially implements the pseudo-code in figure~\ref{fig:DR} except with a slight optimization. The division by $\beta^m$, multiplication by $k$ -and addition of $x \mbox{ mod }\beta^m$ are all performed simultaneously inside the loop on step 4. The division by $\beta^m$ is emulated by accessing -the term at the $m+i$'th position which is subsequently multiplied by $k$ and added to the term at the $i$'th position. After the loop the $m$'th -digit is set to the carry and the upper digits are zeroed. Steps 5 and 6 emulate the reduction modulo $\beta^m$ that should have happend to -$x$ before the addition of the multiple of the upper half. - -At step 8 if $x$ is still larger than $n$ another pass of the algorithm is required. First $n$ is subtracted from $x$ and then the algorithm resumes -at step 3. - -EXAM,bn_mp_dr_reduce.c - -The first step is to grow $x$ as required to $2m$ digits since the reduction is performed in place on $x$. The label on line @49,top:@ is where -the algorithm will resume if further reduction passes are required. In theory it could be placed at the top of the function however, the size of -the modulus and question of whether $x$ is large enough are invariant after the first pass meaning that it would be a waste of time. - -The aliases $tmpx1$ and $tmpx2$ refer to the digits of $x$ where the latter is offset by $m$ digits. By reading digits from $x$ offset by $m$ digits -a division by $\beta^m$ can be simulated virtually for free. The loop on line @61,for@ performs the bulk of the work (\textit{corresponds to step 4 of algorithm 7.11}) -in this algorithm. - -By line @68,mu@ the pointer $tmpx1$ points to the $m$'th digit of $x$ which is where the final carry will be placed. Similarly by line @71,for@ the -same pointer will point to the $m+1$'th digit where the zeroes will be placed. - -Since the algorithm is only valid if both $x$ and $n$ are greater than zero an unsigned comparison suffices to determine if another pass is required. -With the same logic at line @82,sub@ the value of $x$ is known to be greater than or equal to $n$ meaning that an unsigned subtraction can be used -as well. Since the destination of the subtraction is the larger of the inputs the call to algorithm s\_mp\_sub cannot fail and the return code -does not need to be checked. - -\subsubsection{Setup} -To setup the restricted Diminished Radix algorithm the value $k = \beta - n_0$ is required. This algorithm is not really complicated but provided for -completeness. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_dr\_setup}. \\ -\textbf{Input}. mp\_int $n$ \\ -\textbf{Output}. $k = \beta - n_0$ \\ -\hline \\ -1. $k \leftarrow \beta - n_0$ \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_dr\_setup} -\end{figure} - -EXAM,bn_mp_dr_setup.c - -\subsubsection{Modulus Detection} -Another algorithm which will be useful is the ability to detect a restricted Diminished Radix modulus. An integer is said to be -of restricted Diminished Radix form if all of the digits are equal to $\beta - 1$ except the trailing digit which may be any value. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_dr\_is\_modulus}. \\ -\textbf{Input}. mp\_int $n$ \\ -\textbf{Output}. $1$ if $n$ is in D.R form, $0$ otherwise \\ -\hline -1. If $n.used < 2$ then return($0$). \\ -2. for $ix$ from $1$ to $n.used - 1$ do \\ -\hspace{3mm}2.1 If $n_{ix} \ne \beta - 1$ return($0$). \\ -3. Return($1$). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_dr\_is\_modulus} -\end{figure} - -\textbf{Algorithm mp\_dr\_is\_modulus.} -This algorithm determines if a value is in Diminished Radix form. Step 1 rejects obvious cases where fewer than two digits are -in the mp\_int. Step 2 tests all but the first digit to see if they are equal to $\beta - 1$. If the algorithm manages to get to -step 3 then $n$ must be of Diminished Radix form. - -EXAM,bn_mp_dr_is_modulus.c - -\subsection{Unrestricted Diminished Radix Reduction} -The unrestricted Diminished Radix algorithm allows modular reductions to be performed when the modulus is of the form $2^p - k$. This algorithm -is a straightforward adaptation of algorithm~\ref{fig:DR}. - -In general the restricted Diminished Radix reduction algorithm is much faster since it has considerably lower overhead. However, this new -algorithm is much faster than either Montgomery or Barrett reduction when the moduli are of the appropriate form. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_reduce\_2k}. \\ -\textbf{Input}. mp\_int $a$ and $n$. mp\_digit $k$ \\ -\hspace{11.5mm}($a \ge 0$, $n > 1$, $0 < k < \beta$, $n + k$ is a power of two) \\ -\textbf{Output}. $a \mbox{ (mod }n\mbox{)}$ \\ -\hline -1. $p \leftarrow \lceil lg(n) \rceil$ (\textit{mp\_count\_bits}) \\ -2. While $a \ge n$ do \\ -\hspace{3mm}2.1 $q \leftarrow \lfloor a / 2^p \rfloor$ (\textit{mp\_div\_2d}) \\ -\hspace{3mm}2.2 $a \leftarrow a \mbox{ (mod }2^p\mbox{)}$ (\textit{mp\_mod\_2d}) \\ -\hspace{3mm}2.3 $q \leftarrow q \cdot k$ (\textit{mp\_mul\_d}) \\ -\hspace{3mm}2.4 $a \leftarrow a - q$ (\textit{s\_mp\_sub}) \\ -\hspace{3mm}2.5 If $a \ge n$ then do \\ -\hspace{6mm}2.5.1 $a \leftarrow a - n$ \\ -3. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_reduce\_2k} -\end{figure} - -\textbf{Algorithm mp\_reduce\_2k.} -This algorithm quickly reduces an input $a$ modulo an unrestricted Diminished Radix modulus $n$. Division by $2^p$ is emulated with a right -shift which makes the algorithm fairly inexpensive to use. - -EXAM,bn_mp_reduce_2k.c - -The algorithm mp\_count\_bits calculates the number of bits in an mp\_int which is used to find the initial value of $p$. The call to mp\_div\_2d -on line @31,mp_div_2d@ calculates both the quotient $q$ and the remainder $a$ required. By doing both in a single function call the code size -is kept fairly small. The multiplication by $k$ is only performed if $k > 1$. This allows reductions modulo $2^p - 1$ to be performed without -any multiplications. - -The unsigned s\_mp\_add, mp\_cmp\_mag and s\_mp\_sub are used in place of their full sign counterparts since the inputs are only valid if they are -positive. By using the unsigned versions the overhead is kept to a minimum. - -\subsubsection{Unrestricted Setup} -To setup this reduction algorithm the value of $k = 2^p - n$ is required. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_reduce\_2k\_setup}. \\ -\textbf{Input}. mp\_int $n$ \\ -\textbf{Output}. $k = 2^p - n$ \\ -\hline -1. $p \leftarrow \lceil lg(n) \rceil$ (\textit{mp\_count\_bits}) \\ -2. $x \leftarrow 2^p$ (\textit{mp\_2expt}) \\ -3. $x \leftarrow x - n$ (\textit{mp\_sub}) \\ -4. $k \leftarrow x_0$ \\ -5. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_reduce\_2k\_setup} -\end{figure} - -\textbf{Algorithm mp\_reduce\_2k\_setup.} -This algorithm computes the value of $k$ required for the algorithm mp\_reduce\_2k. By making a temporary variable $x$ equal to $2^p$ a subtraction -is sufficient to solve for $k$. Alternatively if $n$ has more than one digit the value of $k$ is simply $\beta - n_0$. - -EXAM,bn_mp_reduce_2k_setup.c - -\subsubsection{Unrestricted Detection} -An integer $n$ is a valid unrestricted Diminished Radix modulus if either of the following are true. - -\begin{enumerate} -\item The number has only one digit. -\item The number has more than one digit and every bit from the $\beta$'th to the most significant is one. -\end{enumerate} - -If either condition is true than there is a power of two $2^p$ such that $0 < 2^p - n < \beta$. If the input is only -one digit than it will always be of the correct form. Otherwise all of the bits above the first digit must be one. This arises from the fact -that there will be value of $k$ that when added to the modulus causes a carry in the first digit which propagates all the way to the most -significant bit. The resulting sum will be a power of two. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_reduce\_is\_2k}. \\ -\textbf{Input}. mp\_int $n$ \\ -\textbf{Output}. $1$ if of proper form, $0$ otherwise \\ -\hline -1. If $n.used = 0$ then return($0$). \\ -2. If $n.used = 1$ then return($1$). \\ -3. $p \leftarrow \lceil lg(n) \rceil$ (\textit{mp\_count\_bits}) \\ -4. for $x$ from $lg(\beta)$ to $p$ do \\ -\hspace{3mm}4.1 If the ($x \mbox{ mod }lg(\beta)$)'th bit of the $\lfloor x / lg(\beta) \rfloor$ of $n$ is zero then return($0$). \\ -5. Return($1$). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_reduce\_is\_2k} -\end{figure} - -\textbf{Algorithm mp\_reduce\_is\_2k.} -This algorithm quickly determines if a modulus is of the form required for algorithm mp\_reduce\_2k to function properly. - -EXAM,bn_mp_reduce_is_2k.c - - - -\section{Algorithm Comparison} -So far three very different algorithms for modular reduction have been discussed. Each of the algorithms have their own strengths and weaknesses -that makes having such a selection very useful. The following table sumarizes the three algorithms along with comparisons of work factors. Since -all three algorithms have the restriction that $0 \le x < n^2$ and $n > 1$ those limitations are not included in the table. - -\begin{center} -\begin{small} -\begin{tabular}{|c|c|c|c|c|c|} -\hline \textbf{Method} & \textbf{Work Required} & \textbf{Limitations} & \textbf{$m = 8$} & \textbf{$m = 32$} & \textbf{$m = 64$} \\ -\hline Barrett & $m^2 + 2m - 1$ & None & $79$ & $1087$ & $4223$ \\ -\hline Montgomery & $m^2 + m$ & $n$ must be odd & $72$ & $1056$ & $4160$ \\ -\hline D.R. & $2m$ & $n = \beta^m - k$ & $16$ & $64$ & $128$ \\ -\hline -\end{tabular} -\end{small} -\end{center} - -In theory Montgomery and Barrett reductions would require roughly the same amount of time to complete. However, in practice since Montgomery -reduction can be written as a single function with the Comba technique it is much faster. Barrett reduction suffers from the overhead of -calling the half precision multipliers, addition and division by $\beta$ algorithms. - -For almost every cryptographic algorithm Montgomery reduction is the algorithm of choice. The one set of algorithms where Diminished Radix reduction truly -shines are based on the discrete logarithm problem such as Diffie-Hellman \cite{DH} and ElGamal \cite{ELGAMAL}. In these algorithms -primes of the form $\beta^m - k$ can be found and shared amongst users. These primes will allow the Diminished Radix algorithm to be used in -modular exponentiation to greatly speed up the operation. - - - -\section*{Exercises} -\begin{tabular}{cl} -$\left [ 3 \right ]$ & Prove that the ``trick'' in algorithm mp\_montgomery\_setup actually \\ - & calculates the correct value of $\rho$. \\ - & \\ -$\left [ 2 \right ]$ & Devise an algorithm to reduce modulo $n + k$ for small $k$ quickly. \\ - & \\ -$\left [ 4 \right ]$ & Prove that the pseudo-code algorithm ``Diminished Radix Reduction'' \\ - & (\textit{figure~\ref{fig:DR}}) terminates. Also prove the probability that it will \\ - & terminate within $1 \le k \le 10$ iterations. \\ - & \\ -\end{tabular} - - -\chapter{Exponentiation} -Exponentiation is the operation of raising one variable to the power of another, for example, $a^b$. A variant of exponentiation, computed -in a finite field or ring, is called modular exponentiation. This latter style of operation is typically used in public key -cryptosystems such as RSA and Diffie-Hellman. The ability to quickly compute modular exponentiations is of great benefit to any -such cryptosystem and many methods have been sought to speed it up. - -\section{Exponentiation Basics} -A trivial algorithm would simply multiply $a$ against itself $b - 1$ times to compute the exponentiation desired. However, as $b$ grows in size -the number of multiplications becomes prohibitive. Imagine what would happen if $b$ $\approx$ $2^{1024}$ as is the case when computing an RSA signature -with a $1024$-bit key. Such a calculation could never be completed as it would take simply far too long. - -Fortunately there is a very simple algorithm based on the laws of exponents. Recall that $lg_a(a^b) = b$ and that $lg_a(a^ba^c) = b + c$ which -are two trivial relationships between the base and the exponent. Let $b_i$ represent the $i$'th bit of $b$ starting from the least -significant bit. If $b$ is a $k$-bit integer than the following equation is true. - -\begin{equation} -a^b = \prod_{i=0}^{k-1} a^{2^i \cdot b_i} -\end{equation} - -By taking the base $a$ logarithm of both sides of the equation the following equation is the result. - -\begin{equation} -b = \sum_{i=0}^{k-1}2^i \cdot b_i -\end{equation} - -The term $a^{2^i}$ can be found from the $i - 1$'th term by squaring the term since $\left ( a^{2^i} \right )^2$ is equal to -$a^{2^{i+1}}$. This observation forms the basis of essentially all fast exponentiation algorithms. It requires $k$ squarings and on average -$k \over 2$ multiplications to compute the result. This is indeed quite an improvement over simply multiplying by $a$ a total of $b-1$ times. - -While this current method is a considerable speed up there are further improvements to be made. For example, the $a^{2^i}$ term does not need to -be computed in an auxilary variable. Consider the following equivalent algorithm. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Left to Right Exponentiation}. \\ -\textbf{Input}. Integer $a$, $b$ and $k$ \\ -\textbf{Output}. $c = a^b$ \\ -\hline \\ -1. $c \leftarrow 1$ \\ -2. for $i$ from $k - 1$ to $0$ do \\ -\hspace{3mm}2.1 $c \leftarrow c^2$ \\ -\hspace{3mm}2.2 $c \leftarrow c \cdot a^{b_i}$ \\ -3. Return $c$. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Left to Right Exponentiation} -\label{fig:LTOR} -\end{figure} - -This algorithm starts from the most significant bit and works towards the least significant bit. When the $i$'th bit of $b$ is set $a$ is -multiplied against the current product. In each iteration the product is squared which doubles the exponent of the individual terms of the -product. - -For example, let $b = 101100_2 \equiv 44_{10}$. The following chart demonstrates the actions of the algorithm. - -\newpage\begin{figure} -\begin{center} -\begin{tabular}{|c|c|} -\hline \textbf{Value of $i$} & \textbf{Value of $c$} \\ -\hline - & $1$ \\ -\hline $5$ & $a$ \\ -\hline $4$ & $a^2$ \\ -\hline $3$ & $a^4 \cdot a$ \\ -\hline $2$ & $a^8 \cdot a^2 \cdot a$ \\ -\hline $1$ & $a^{16} \cdot a^4 \cdot a^2$ \\ -\hline $0$ & $a^{32} \cdot a^8 \cdot a^4$ \\ -\hline -\end{tabular} -\end{center} -\caption{Example of Left to Right Exponentiation} -\end{figure} - -When the product $a^{32} \cdot a^8 \cdot a^4$ is simplified it is equal $a^{44}$ which is the desired exponentiation. This particular algorithm is -called ``Left to Right'' because it reads the exponent in that order. All of the exponentiation algorithms that will be presented are of this nature. - -\subsection{Single Digit Exponentiation} -The first algorithm in the series of exponentiation algorithms will be an unbounded algorithm where the exponent is a single digit. It is intended -to be used when a small power of an input is required (\textit{e.g. $a^5$}). It is faster than simply multiplying $b - 1$ times for all values of -$b$ that are greater than three. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_expt\_d}. \\ -\textbf{Input}. mp\_int $a$ and mp\_digit $b$ \\ -\textbf{Output}. $c = a^b$ \\ -\hline \\ -1. $g \leftarrow a$ (\textit{mp\_init\_copy}) \\ -2. $c \leftarrow 1$ (\textit{mp\_set}) \\ -3. for $x$ from 1 to $lg(\beta)$ do \\ -\hspace{3mm}3.1 $c \leftarrow c^2$ (\textit{mp\_sqr}) \\ -\hspace{3mm}3.2 If $b$ AND $2^{lg(\beta) - 1} \ne 0$ then \\ -\hspace{6mm}3.2.1 $c \leftarrow c \cdot g$ (\textit{mp\_mul}) \\ -\hspace{3mm}3.3 $b \leftarrow b << 1$ \\ -4. Clear $g$. \\ -5. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_expt\_d} -\end{figure} - -\textbf{Algorithm mp\_expt\_d.} -This algorithm computes the value of $a$ raised to the power of a single digit $b$. It uses the left to right exponentiation algorithm to -quickly compute the exponentiation. It is loosely based on algorithm 14.79 of HAC \cite[pp. 615]{HAC} with the difference that the -exponent is a fixed width. - -A copy of $a$ is made first to allow destination variable $c$ be the same as the source variable $a$. The result is set to the initial value of -$1$ in the subsequent step. - -Inside the loop the exponent is read from the most significant bit first down to the least significant bit. First $c$ is invariably squared -on step 3.1. In the following step if the most significant bit of $b$ is one the copy of $a$ is multiplied against $c$. The value -of $b$ is shifted left one bit to make the next bit down from the most signficant bit the new most significant bit. In effect each -iteration of the loop moves the bits of the exponent $b$ upwards to the most significant location. - -EXAM,bn_mp_expt_d.c - -Line @29,mp_set@ sets the initial value of the result to $1$. Next the loop on line @31,for@ steps through each bit of the exponent starting from -the most significant down towards the least significant. The invariant squaring operation placed on line @333,mp_sqr@ is performed first. After -the squaring the result $c$ is multiplied by the base $g$ if and only if the most significant bit of the exponent is set. The shift on line -@47,<<@ moves all of the bits of the exponent upwards towards the most significant location. - -\section{$k$-ary Exponentiation} -When calculating an exponentiation the most time consuming bottleneck is the multiplications which are in general a small factor -slower than squaring. Recall from the previous algorithm that $b_{i}$ refers to the $i$'th bit of the exponent $b$. Suppose instead it referred to -the $i$'th $k$-bit digit of the exponent of $b$. For $k = 1$ the definitions are synonymous and for $k > 1$ algorithm~\ref{fig:KARY} -computes the same exponentiation. A group of $k$ bits from the exponent is called a \textit{window}. That is it is a small window on only a -portion of the entire exponent. Consider the following modification to the basic left to right exponentiation algorithm. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{$k$-ary Exponentiation}. \\ -\textbf{Input}. Integer $a$, $b$, $k$ and $t$ \\ -\textbf{Output}. $c = a^b$ \\ -\hline \\ -1. $c \leftarrow 1$ \\ -2. for $i$ from $t - 1$ to $0$ do \\ -\hspace{3mm}2.1 $c \leftarrow c^{2^k} $ \\ -\hspace{3mm}2.2 Extract the $i$'th $k$-bit word from $b$ and store it in $g$. \\ -\hspace{3mm}2.3 $c \leftarrow c \cdot a^g$ \\ -3. Return $c$. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{$k$-ary Exponentiation} -\label{fig:KARY} -\end{figure} - -The squaring on step 2.1 can be calculated by squaring the value $c$ successively $k$ times. If the values of $a^g$ for $0 < g < 2^k$ have been -precomputed this algorithm requires only $t$ multiplications and $tk$ squarings. The table can be generated with $2^{k - 1} - 1$ squarings and -$2^{k - 1} + 1$ multiplications. This algorithm assumes that the number of bits in the exponent is evenly divisible by $k$. -However, when it is not the remaining $0 < x \le k - 1$ bits can be handled with algorithm~\ref{fig:LTOR}. - -Suppose $k = 4$ and $t = 100$. This modified algorithm will require $109$ multiplications and $408$ squarings to compute the exponentiation. The -original algorithm would on average have required $200$ multiplications and $400$ squrings to compute the same value. The total number of squarings -has increased slightly but the number of multiplications has nearly halved. - -\subsection{Optimal Values of $k$} -An optimal value of $k$ will minimize $2^{k} + \lceil n / k \rceil + n - 1$ for a fixed number of bits in the exponent $n$. The simplest -approach is to brute force search amongst the values $k = 2, 3, \ldots, 8$ for the lowest result. Table~\ref{fig:OPTK} lists optimal values of $k$ -for various exponent sizes and compares the number of multiplication and squarings required against algorithm~\ref{fig:LTOR}. - -\begin{figure}[here] -\begin{center} -\begin{small} -\begin{tabular}{|c|c|c|c|c|c|} -\hline \textbf{Exponent (bits)} & \textbf{Optimal $k$} & \textbf{Work at $k$} & \textbf{Work with ~\ref{fig:LTOR}} \\ -\hline $16$ & $2$ & $27$ & $24$ \\ -\hline $32$ & $3$ & $49$ & $48$ \\ -\hline $64$ & $3$ & $92$ & $96$ \\ -\hline $128$ & $4$ & $175$ & $192$ \\ -\hline $256$ & $4$ & $335$ & $384$ \\ -\hline $512$ & $5$ & $645$ & $768$ \\ -\hline $1024$ & $6$ & $1257$ & $1536$ \\ -\hline $2048$ & $6$ & $2452$ & $3072$ \\ -\hline $4096$ & $7$ & $4808$ & $6144$ \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Optimal Values of $k$ for $k$-ary Exponentiation} -\label{fig:OPTK} -\end{figure} - -\subsection{Sliding-Window Exponentiation} -A simple modification to the previous algorithm is only generate the upper half of the table in the range $2^{k-1} \le g < 2^k$. Essentially -this is a table for all values of $g$ where the most significant bit of $g$ is a one. However, in order for this to be allowed in the -algorithm values of $g$ in the range $0 \le g < 2^{k-1}$ must be avoided. - -Table~\ref{fig:OPTK2} lists optimal values of $k$ for various exponent sizes and compares the work required against algorithm~\ref{fig:KARY}. - -\begin{figure}[here] -\begin{center} -\begin{small} -\begin{tabular}{|c|c|c|c|c|c|} -\hline \textbf{Exponent (bits)} & \textbf{Optimal $k$} & \textbf{Work at $k$} & \textbf{Work with ~\ref{fig:KARY}} \\ -\hline $16$ & $3$ & $24$ & $27$ \\ -\hline $32$ & $3$ & $45$ & $49$ \\ -\hline $64$ & $4$ & $87$ & $92$ \\ -\hline $128$ & $4$ & $167$ & $175$ \\ -\hline $256$ & $5$ & $322$ & $335$ \\ -\hline $512$ & $6$ & $628$ & $645$ \\ -\hline $1024$ & $6$ & $1225$ & $1257$ \\ -\hline $2048$ & $7$ & $2403$ & $2452$ \\ -\hline $4096$ & $8$ & $4735$ & $4808$ \\ -\hline -\end{tabular} -\end{small} -\end{center} -\caption{Optimal Values of $k$ for Sliding Window Exponentiation} -\label{fig:OPTK2} -\end{figure} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Sliding Window $k$-ary Exponentiation}. \\ -\textbf{Input}. Integer $a$, $b$, $k$ and $t$ \\ -\textbf{Output}. $c = a^b$ \\ -\hline \\ -1. $c \leftarrow 1$ \\ -2. for $i$ from $t - 1$ to $0$ do \\ -\hspace{3mm}2.1 If the $i$'th bit of $b$ is a zero then \\ -\hspace{6mm}2.1.1 $c \leftarrow c^2$ \\ -\hspace{3mm}2.2 else do \\ -\hspace{6mm}2.2.1 $c \leftarrow c^{2^k}$ \\ -\hspace{6mm}2.2.2 Extract the $k$ bits from $(b_{i}b_{i-1}\ldots b_{i-(k-1)})$ and store it in $g$. \\ -\hspace{6mm}2.2.3 $c \leftarrow c \cdot a^g$ \\ -\hspace{6mm}2.2.4 $i \leftarrow i - k$ \\ -3. Return $c$. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Sliding Window $k$-ary Exponentiation} -\end{figure} - -Similar to the previous algorithm this algorithm must have a special handler when fewer than $k$ bits are left in the exponent. While this -algorithm requires the same number of squarings it can potentially have fewer multiplications. The pre-computed table $a^g$ is also half -the size as the previous table. - -Consider the exponent $b = 111101011001000_2 \equiv 31432_{10}$ with $k = 3$ using both algorithms. The first algorithm will divide the exponent up as -the following five $3$-bit words $b \equiv \left ( 111, 101, 011, 001, 000 \right )_{2}$. The second algorithm will break the -exponent as $b \equiv \left ( 111, 101, 0, 110, 0, 100, 0 \right )_{2}$. The single digit $0$ in the second representation are where -a single squaring took place instead of a squaring and multiplication. In total the first method requires $10$ multiplications and $18$ -squarings. The second method requires $8$ multiplications and $18$ squarings. - -In general the sliding window method is never slower than the generic $k$-ary method and often it is slightly faster. - -\section{Modular Exponentiation} - -Modular exponentiation is essentially computing the power of a base within a finite field or ring. For example, computing -$d \equiv a^b \mbox{ (mod }c\mbox{)}$ is a modular exponentiation. Instead of first computing $a^b$ and then reducing it -modulo $c$ the intermediate result is reduced modulo $c$ after every squaring or multiplication operation. - -This guarantees that any intermediate result is bounded by $0 \le d \le c^2 - 2c + 1$ and can be reduced modulo $c$ quickly using -one of the algorithms presented in ~REDUCTION~. - -Before the actual modular exponentiation algorithm can be written a wrapper algorithm must be written first. This algorithm -will allow the exponent $b$ to be negative which is computed as $c \equiv \left (1 / a \right )^{\vert b \vert} \mbox{(mod }d\mbox{)}$. The -value of $(1/a) \mbox{ mod }c$ is computed using the modular inverse (\textit{see \ref{sec;modinv}}). If no inverse exists the algorithm -terminates with an error. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_exptmod}. \\ -\textbf{Input}. mp\_int $a$, $b$ and $c$ \\ -\textbf{Output}. $y \equiv g^x \mbox{ (mod }p\mbox{)}$ \\ -\hline \\ -1. If $c.sign = MP\_NEG$ return(\textit{MP\_VAL}). \\ -2. If $b.sign = MP\_NEG$ then \\ -\hspace{3mm}2.1 $g' \leftarrow g^{-1} \mbox{ (mod }c\mbox{)}$ \\ -\hspace{3mm}2.2 $x' \leftarrow \vert x \vert$ \\ -\hspace{3mm}2.3 Compute $d \equiv g'^{x'} \mbox{ (mod }c\mbox{)}$ via recursion. \\ -3. if $p$ is odd \textbf{OR} $p$ is a D.R. modulus then \\ -\hspace{3mm}3.1 Compute $y \equiv g^{x} \mbox{ (mod }p\mbox{)}$ via algorithm mp\_exptmod\_fast. \\ -4. else \\ -\hspace{3mm}4.1 Compute $y \equiv g^{x} \mbox{ (mod }p\mbox{)}$ via algorithm s\_mp\_exptmod. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_exptmod} -\end{figure} - -\textbf{Algorithm mp\_exptmod.} -The first algorithm which actually performs modular exponentiation is algorithm s\_mp\_exptmod. It is a sliding window $k$-ary algorithm -which uses Barrett reduction to reduce the product modulo $p$. The second algorithm mp\_exptmod\_fast performs the same operation -except it uses either Montgomery or Diminished Radix reduction. The two latter reduction algorithms are clumped in the same exponentiation -algorithm since their arguments are essentially the same (\textit{two mp\_ints and one mp\_digit}). - -EXAM,bn_mp_exptmod.c - -In order to keep the algorithms in a known state the first step on line @29,if@ is to reject any negative modulus as input. If the exponent is -negative the algorithm tries to perform a modular exponentiation with the modular inverse of the base $G$. The temporary variable $tmpG$ is assigned -the modular inverse of $G$ and $tmpX$ is assigned the absolute value of $X$. The algorithm will recuse with these new values with a positive -exponent. - -If the exponent is positive the algorithm resumes the exponentiation. Line @63,dr_@ determines if the modulus is of the restricted Diminished Radix -form. If it is not line @65,reduce@ attempts to determine if it is of a unrestricted Diminished Radix form. The integer $dr$ will take on one -of three values. - -\begin{enumerate} -\item $dr = 0$ means that the modulus is not of either restricted or unrestricted Diminished Radix form. -\item $dr = 1$ means that the modulus is of restricted Diminished Radix form. -\item $dr = 2$ means that the modulus is of unrestricted Diminished Radix form. -\end{enumerate} - -Line @69,if@ determines if the fast modular exponentiation algorithm can be used. It is allowed if $dr \ne 0$ or if the modulus is odd. Otherwise, -the slower s\_mp\_exptmod algorithm is used which uses Barrett reduction. - -\subsection{Barrett Modular Exponentiation} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{s\_mp\_exptmod}. \\ -\textbf{Input}. mp\_int $a$, $b$ and $c$ \\ -\textbf{Output}. $y \equiv g^x \mbox{ (mod }p\mbox{)}$ \\ -\hline \\ -1. $k \leftarrow lg(x)$ \\ -2. $winsize \leftarrow \left \lbrace \begin{array}{ll} - 2 & \mbox{if }k \le 7 \\ - 3 & \mbox{if }7 < k \le 36 \\ - 4 & \mbox{if }36 < k \le 140 \\ - 5 & \mbox{if }140 < k \le 450 \\ - 6 & \mbox{if }450 < k \le 1303 \\ - 7 & \mbox{if }1303 < k \le 3529 \\ - 8 & \mbox{if }3529 < k \\ - \end{array} \right .$ \\ -3. Initialize $2^{winsize}$ mp\_ints in an array named $M$ and one mp\_int named $\mu$ \\ -4. Calculate the $\mu$ required for Barrett Reduction (\textit{mp\_reduce\_setup}). \\ -5. $M_1 \leftarrow g \mbox{ (mod }p\mbox{)}$ \\ -\\ -Setup the table of small powers of $g$. First find $g^{2^{winsize}}$ and then all multiples of it. \\ -6. $k \leftarrow 2^{winsize - 1}$ \\ -7. $M_{k} \leftarrow M_1$ \\ -8. for $ix$ from 0 to $winsize - 2$ do \\ -\hspace{3mm}8.1 $M_k \leftarrow \left ( M_k \right )^2$ (\textit{mp\_sqr}) \\ -\hspace{3mm}8.2 $M_k \leftarrow M_k \mbox{ (mod }p\mbox{)}$ (\textit{mp\_reduce}) \\ -9. for $ix$ from $2^{winsize - 1} + 1$ to $2^{winsize} - 1$ do \\ -\hspace{3mm}9.1 $M_{ix} \leftarrow M_{ix - 1} \cdot M_{1}$ (\textit{mp\_mul}) \\ -\hspace{3mm}9.2 $M_{ix} \leftarrow M_{ix} \mbox{ (mod }p\mbox{)}$ (\textit{mp\_reduce}) \\ -10. $res \leftarrow 1$ \\ -\\ -Start Sliding Window. \\ -11. $mode \leftarrow 0, bitcnt \leftarrow 1, buf \leftarrow 0, digidx \leftarrow x.used - 1, bitcpy \leftarrow 0, bitbuf \leftarrow 0$ \\ -12. Loop \\ -\hspace{3mm}12.1 $bitcnt \leftarrow bitcnt - 1$ \\ -\hspace{3mm}12.2 If $bitcnt = 0$ then do \\ -\hspace{6mm}12.2.1 If $digidx = -1$ goto step 13. \\ -\hspace{6mm}12.2.2 $buf \leftarrow x_{digidx}$ \\ -\hspace{6mm}12.2.3 $digidx \leftarrow digidx - 1$ \\ -\hspace{6mm}12.2.4 $bitcnt \leftarrow lg(\beta)$ \\ -Continued on next page. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm s\_mp\_exptmod} -\end{figure} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{s\_mp\_exptmod} (\textit{continued}). \\ -\textbf{Input}. mp\_int $a$, $b$ and $c$ \\ -\textbf{Output}. $y \equiv g^x \mbox{ (mod }p\mbox{)}$ \\ -\hline \\ -\hspace{3mm}12.3 $y \leftarrow (buf >> (lg(\beta) - 1))$ AND $1$ \\ -\hspace{3mm}12.4 $buf \leftarrow buf << 1$ \\ -\hspace{3mm}12.5 if $mode = 0$ and $y = 0$ then goto step 12. \\ -\hspace{3mm}12.6 if $mode = 1$ and $y = 0$ then do \\ -\hspace{6mm}12.6.1 $res \leftarrow res^2$ \\ -\hspace{6mm}12.6.2 $res \leftarrow res \mbox{ (mod }p\mbox{)}$ \\ -\hspace{6mm}12.6.3 Goto step 12. \\ -\hspace{3mm}12.7 $bitcpy \leftarrow bitcpy + 1$ \\ -\hspace{3mm}12.8 $bitbuf \leftarrow bitbuf + (y << (winsize - bitcpy))$ \\ -\hspace{3mm}12.9 $mode \leftarrow 2$ \\ -\hspace{3mm}12.10 If $bitcpy = winsize$ then do \\ -\hspace{6mm}Window is full so perform the squarings and single multiplication. \\ -\hspace{6mm}12.10.1 for $ix$ from $0$ to $winsize -1$ do \\ -\hspace{9mm}12.10.1.1 $res \leftarrow res^2$ \\ -\hspace{9mm}12.10.1.2 $res \leftarrow res \mbox{ (mod }p\mbox{)}$ \\ -\hspace{6mm}12.10.2 $res \leftarrow res \cdot M_{bitbuf}$ \\ -\hspace{6mm}12.10.3 $res \leftarrow res \mbox{ (mod }p\mbox{)}$ \\ -\hspace{6mm}Reset the window. \\ -\hspace{6mm}12.10.4 $bitcpy \leftarrow 0, bitbuf \leftarrow 0, mode \leftarrow 1$ \\ -\\ -No more windows left. Check for residual bits of exponent. \\ -13. If $mode = 2$ and $bitcpy > 0$ then do \\ -\hspace{3mm}13.1 for $ix$ form $0$ to $bitcpy - 1$ do \\ -\hspace{6mm}13.1.1 $res \leftarrow res^2$ \\ -\hspace{6mm}13.1.2 $res \leftarrow res \mbox{ (mod }p\mbox{)}$ \\ -\hspace{6mm}13.1.3 $bitbuf \leftarrow bitbuf << 1$ \\ -\hspace{6mm}13.1.4 If $bitbuf$ AND $2^{winsize} \ne 0$ then do \\ -\hspace{9mm}13.1.4.1 $res \leftarrow res \cdot M_{1}$ \\ -\hspace{9mm}13.1.4.2 $res \leftarrow res \mbox{ (mod }p\mbox{)}$ \\ -14. $y \leftarrow res$ \\ -15. Clear $res$, $mu$ and the $M$ array. \\ -16. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm s\_mp\_exptmod (continued)} -\end{figure} - -\textbf{Algorithm s\_mp\_exptmod.} -This algorithm computes the $x$'th power of $g$ modulo $p$ and stores the result in $y$. It takes advantage of the Barrett reduction -algorithm to keep the product small throughout the algorithm. - -The first two steps determine the optimal window size based on the number of bits in the exponent. The larger the exponent the -larger the window size becomes. After a window size $winsize$ has been chosen an array of $2^{winsize}$ mp\_int variables is allocated. This -table will hold the values of $g^x \mbox{ (mod }p\mbox{)}$ for $2^{winsize - 1} \le x < 2^{winsize}$. - -After the table is allocated the first power of $g$ is found. Since $g \ge p$ is allowed it must be first reduced modulo $p$ to make -the rest of the algorithm more efficient. The first element of the table at $2^{winsize - 1}$ is found by squaring $M_1$ successively $winsize - 2$ -times. The rest of the table elements are found by multiplying the previous element by $M_1$ modulo $p$. - -Now that the table is available the sliding window may begin. The following list describes the functions of all the variables in the window. -\begin{enumerate} -\item The variable $mode$ dictates how the bits of the exponent are interpreted. -\begin{enumerate} - \item When $mode = 0$ the bits are ignored since no non-zero bit of the exponent has been seen yet. For example, if the exponent were simply - $1$ then there would be $lg(\beta) - 1$ zero bits before the first non-zero bit. In this case bits are ignored until a non-zero bit is found. - \item When $mode = 1$ a non-zero bit has been seen before and a new $winsize$-bit window has not been formed yet. In this mode leading $0$ bits - are read and a single squaring is performed. If a non-zero bit is read a new window is created. - \item When $mode = 2$ the algorithm is in the middle of forming a window and new bits are appended to the window from the most significant bit - downwards. -\end{enumerate} -\item The variable $bitcnt$ indicates how many bits are left in the current digit of the exponent left to be read. When it reaches zero a new digit - is fetched from the exponent. -\item The variable $buf$ holds the currently read digit of the exponent. -\item The variable $digidx$ is an index into the exponents digits. It starts at the leading digit $x.used - 1$ and moves towards the trailing digit. -\item The variable $bitcpy$ indicates how many bits are in the currently formed window. When it reaches $winsize$ the window is flushed and - the appropriate operations performed. -\item The variable $bitbuf$ holds the current bits of the window being formed. -\end{enumerate} - -All of step 12 is the window processing loop. It will iterate while there are digits available form the exponent to read. The first step -inside this loop is to extract a new digit if no more bits are available in the current digit. If there are no bits left a new digit is -read and if there are no digits left than the loop terminates. - -After a digit is made available step 12.3 will extract the most significant bit of the current digit and move all other bits in the digit -upwards. In effect the digit is read from most significant bit to least significant bit and since the digits are read from leading to -trailing edges the entire exponent is read from most significant bit to least significant bit. - -At step 12.5 if the $mode$ and currently extracted bit $y$ are both zero the bit is ignored and the next bit is read. This prevents the -algorithm from having to perform trivial squaring and reduction operations before the first non-zero bit is read. Step 12.6 and 12.7-10 handle -the two cases of $mode = 1$ and $mode = 2$ respectively. - -FIGU,expt_state,Sliding Window State Diagram - -By step 13 there are no more digits left in the exponent. However, there may be partial bits in the window left. If $mode = 2$ then -a Left-to-Right algorithm is used to process the remaining few bits. - -EXAM,bn_s_mp_exptmod.c - -Lines @31,if@ through @45,}@ determine the optimal window size based on the length of the exponent in bits. The window divisions are sorted -from smallest to greatest so that in each \textbf{if} statement only one condition must be tested. For example, by the \textbf{if} statement -on line @37,if@ the value of $x$ is already known to be greater than $140$. - -The conditional piece of code beginning on line @42,ifdef@ allows the window size to be restricted to five bits. This logic is used to ensure -the table of precomputed powers of $G$ remains relatively small. - -The for loop on line @60,for@ initializes the $M$ array while lines @71,mp_init@ and @75,mp_reduce@ through @85,}@ initialize the reduction -function that will be used for this modulus. - --- More later. - -\section{Quick Power of Two} -Calculating $b = 2^a$ can be performed much quicker than with any of the previous algorithms. Recall that a logical shift left $m << k$ is -equivalent to $m \cdot 2^k$. By this logic when $m = 1$ a quick power of two can be achieved. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_2expt}. \\ -\textbf{Input}. integer $b$ \\ -\textbf{Output}. $a \leftarrow 2^b$ \\ -\hline \\ -1. $a \leftarrow 0$ \\ -2. If $a.alloc < \lfloor b / lg(\beta) \rfloor + 1$ then grow $a$ appropriately. \\ -3. $a.used \leftarrow \lfloor b / lg(\beta) \rfloor + 1$ \\ -4. $a_{\lfloor b / lg(\beta) \rfloor} \leftarrow 1 << (b \mbox{ mod } lg(\beta))$ \\ -5. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_2expt} -\end{figure} - -\textbf{Algorithm mp\_2expt.} - -EXAM,bn_mp_2expt.c - -\chapter{Higher Level Algorithms} - -This chapter discusses the various higher level algorithms that are required to complete a well rounded multiple precision integer package. These -routines are less performance oriented than the algorithms of chapters five, six and seven but are no less important. - -The first section describes a method of integer division with remainder that is universally well known. It provides the signed division logic -for the package. The subsequent section discusses a set of algorithms which allow a single digit to be the 2nd operand for a variety of operations. -These algorithms serve mostly to simplify other algorithms where small constants are required. The last two sections discuss how to manipulate -various representations of integers. For example, converting from an mp\_int to a string of character. - -\section{Integer Division with Remainder} -\label{sec:division} - -Integer division aside from modular exponentiation is the most intensive algorithm to compute. Like addition, subtraction and multiplication -the basis of this algorithm is the long-hand division algorithm taught to school children. Throughout this discussion several common variables -will be used. Let $x$ represent the divisor and $y$ represent the dividend. Let $q$ represent the integer quotient $\lfloor y / x \rfloor$ and -let $r$ represent the remainder $r = y - x \lfloor y / x \rfloor$. The following simple algorithm will be used to start the discussion. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Radix-$\beta$ Integer Division}. \\ -\textbf{Input}. integer $x$ and $y$ \\ -\textbf{Output}. $q = \lfloor y/x\rfloor, r = y - xq$ \\ -\hline \\ -1. $q \leftarrow 0$ \\ -2. $n \leftarrow \vert \vert y \vert \vert - \vert \vert x \vert \vert$ \\ -3. for $t$ from $n$ down to $0$ do \\ -\hspace{3mm}3.1 Maximize $k$ such that $kx\beta^t$ is less than or equal to $y$ and $(k + 1)x\beta^t$ is greater. \\ -\hspace{3mm}3.2 $q \leftarrow q + k\beta^t$ \\ -\hspace{3mm}3.3 $y \leftarrow y - kx\beta^t$ \\ -4. $r \leftarrow y$ \\ -5. Return($q, r$) \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Radix-$\beta$ Integer Division} -\label{fig:raddiv} -\end{figure} - -As children we are taught this very simple algorithm for the case of $\beta = 10$. Almost instinctively several optimizations are taught for which -their reason of existing are never explained. For this example let $y = 5471$ represent the dividend and $x = 23$ represent the divisor. - -To find the first digit of the quotient the value of $k$ must be maximized such that $kx\beta^t$ is less than or equal to $y$ and -simultaneously $(k + 1)x\beta^t$ is greater than $y$. Implicitly $k$ is the maximum value the $t$'th digit of the quotient may have. The habitual method -used to find the maximum is to ``eyeball'' the two numbers, typically only the leading digits and quickly estimate a quotient. By only using leading -digits a much simpler division may be used to form an educated guess at what the value must be. In this case $k = \lfloor 54/23\rfloor = 2$ quickly -arises as a possible solution. Indeed $2x\beta^2 = 4600$ is less than $y = 5471$ and simultaneously $(k + 1)x\beta^2 = 6900$ is larger than $y$. -As a result $k\beta^2$ is added to the quotient which now equals $q = 200$ and $4600$ is subtracted from $y$ to give a remainder of $y = 841$. - -Again this process is repeated to produce the quotient digit $k = 3$ which makes the quotient $q = 200 + 3\beta = 230$ and the remainder -$y = 841 - 3x\beta = 181$. Finally the last iteration of the loop produces $k = 7$ which leads to the quotient $q = 230 + 7 = 237$ and the -remainder $y = 181 - 7x = 20$. The final quotient and remainder found are $q = 237$ and $r = y = 20$ which are indeed correct since -$237 \cdot 23 + 20 = 5471$ is true. - -\subsection{Quotient Estimation} -\label{sec:divest} -As alluded to earlier the quotient digit $k$ can be estimated from only the leading digits of both the divisor and dividend. When $p$ leading -digits are used from both the divisor and dividend to form an estimation the accuracy of the estimation rises as $p$ grows. Technically -speaking the estimation is based on assuming the lower $\vert \vert y \vert \vert - p$ and $\vert \vert x \vert \vert - p$ lower digits of the -dividend and divisor are zero. - -The value of the estimation may off by a few values in either direction and in general is fairly correct. A simplification \cite[pp. 271]{TAOCPV2} -of the estimation technique is to use $t + 1$ digits of the dividend and $t$ digits of the divisor, in particularly when $t = 1$. The estimate -using this technique is never too small. For the following proof let $t = \vert \vert y \vert \vert - 1$ and $s = \vert \vert x \vert \vert - 1$ -represent the most significant digits of the dividend and divisor respectively. - -\textbf{Proof.}\textit{ The quotient $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ is greater than or equal to -$k = \lfloor y / (x \cdot \beta^{\vert \vert y \vert \vert - \vert \vert x \vert \vert - 1}) \rfloor$. } -The first obvious case is when $\hat k = \beta - 1$ in which case the proof is concluded since the real quotient cannot be larger. For all other -cases $\hat k = \lfloor (y_t\beta + y_{t-1}) / x_s \rfloor$ and $\hat k x_s \ge y_t\beta + y_{t-1} - x_s + 1$. The latter portion of the inequalility -$-x_s + 1$ arises from the fact that a truncated integer division will give the same quotient for at most $x_s - 1$ values. Next a series of -inequalities will prove the hypothesis. - -\begin{equation} -y - \hat k x \le y - \hat k x_s\beta^s -\end{equation} - -This is trivially true since $x \ge x_s\beta^s$. Next we replace $\hat kx_s\beta^s$ by the previous inequality for $\hat kx_s$. - -\begin{equation} -y - \hat k x \le y_t\beta^t + \ldots + y_0 - (y_t\beta^t + y_{t-1}\beta^{t-1} - x_s\beta^t + \beta^s) -\end{equation} - -By simplifying the previous inequality the following inequality is formed. - -\begin{equation} -y - \hat k x \le y_{t-2}\beta^{t-2} + \ldots + y_0 + x_s\beta^s - \beta^s -\end{equation} - -Subsequently, - -\begin{equation} -y_{t-2}\beta^{t-2} + \ldots + y_0 + x_s\beta^s - \beta^s < x_s\beta^s \le x -\end{equation} - -Which proves that $y - \hat kx \le x$ and by consequence $\hat k \ge k$ which concludes the proof. \textbf{QED} - - -\subsection{Normalized Integers} -For the purposes of division a normalized input is when the divisors leading digit $x_n$ is greater than or equal to $\beta / 2$. By multiplying both -$x$ and $y$ by $j = \lfloor (\beta / 2) / x_n \rfloor$ the quotient remains unchanged and the remainder is simply $j$ times the original -remainder. The purpose of normalization is to ensure the leading digit of the divisor is sufficiently large such that the estimated quotient will -lie in the domain of a single digit. Consider the maximum dividend $(\beta - 1) \cdot \beta + (\beta - 1)$ and the minimum divisor $\beta / 2$. - -\begin{equation} -{{\beta^2 - 1} \over { \beta / 2}} \le 2\beta - {2 \over \beta} -\end{equation} - -At most the quotient approaches $2\beta$, however, in practice this will not occur since that would imply the previous quotient digit was too small. - -\subsection{Radix-$\beta$ Division with Remainder} -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_div}. \\ -\textbf{Input}. mp\_int $a, b$ \\ -\textbf{Output}. $c = \lfloor a/b \rfloor$, $d = a - bc$ \\ -\hline \\ -1. If $b = 0$ return(\textit{MP\_VAL}). \\ -2. If $\vert a \vert < \vert b \vert$ then do \\ -\hspace{3mm}2.1 $d \leftarrow a$ \\ -\hspace{3mm}2.2 $c \leftarrow 0$ \\ -\hspace{3mm}2.3 Return(\textit{MP\_OKAY}). \\ -\\ -Setup the quotient to receive the digits. \\ -3. Grow $q$ to $a.used + 2$ digits. \\ -4. $q \leftarrow 0$ \\ -5. $x \leftarrow \vert a \vert , y \leftarrow \vert b \vert$ \\ -6. $sign \leftarrow \left \lbrace \begin{array}{ll} - MP\_ZPOS & \mbox{if }a.sign = b.sign \\ - MP\_NEG & \mbox{otherwise} \\ - \end{array} \right .$ \\ -\\ -Normalize the inputs such that the leading digit of $y$ is greater than or equal to $\beta / 2$. \\ -7. $norm \leftarrow (lg(\beta) - 1) - (\lceil lg(y) \rceil \mbox{ (mod }lg(\beta)\mbox{)})$ \\ -8. $x \leftarrow x \cdot 2^{norm}, y \leftarrow y \cdot 2^{norm}$ \\ -\\ -Find the leading digit of the quotient. \\ -9. $n \leftarrow x.used - 1, t \leftarrow y.used - 1$ \\ -10. $y \leftarrow y \cdot \beta^{n - t}$ \\ -11. While ($x \ge y$) do \\ -\hspace{3mm}11.1 $q_{n - t} \leftarrow q_{n - t} + 1$ \\ -\hspace{3mm}11.2 $x \leftarrow x - y$ \\ -12. $y \leftarrow \lfloor y / \beta^{n-t} \rfloor$ \\ -\\ -Continued on the next page. \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_div} -\end{figure} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_div} (continued). \\ -\textbf{Input}. mp\_int $a, b$ \\ -\textbf{Output}. $c = \lfloor a/b \rfloor$, $d = a - bc$ \\ -\hline \\ -Now find the remainder fo the digits. \\ -13. for $i$ from $n$ down to $(t + 1)$ do \\ -\hspace{3mm}13.1 If $i > x.used$ then jump to the next iteration of this loop. \\ -\hspace{3mm}13.2 If $x_{i} = y_{t}$ then \\ -\hspace{6mm}13.2.1 $q_{i - t - 1} \leftarrow \beta - 1$ \\ -\hspace{3mm}13.3 else \\ -\hspace{6mm}13.3.1 $\hat r \leftarrow x_{i} \cdot \beta + x_{i - 1}$ \\ -\hspace{6mm}13.3.2 $\hat r \leftarrow \lfloor \hat r / y_{t} \rfloor$ \\ -\hspace{6mm}13.3.3 $q_{i - t - 1} \leftarrow \hat r$ \\ -\hspace{3mm}13.4 $q_{i - t - 1} \leftarrow q_{i - t - 1} + 1$ \\ -\\ -Fixup quotient estimation. \\ -\hspace{3mm}13.5 Loop \\ -\hspace{6mm}13.5.1 $q_{i - t - 1} \leftarrow q_{i - t - 1} - 1$ \\ -\hspace{6mm}13.5.2 t$1 \leftarrow 0$ \\ -\hspace{6mm}13.5.3 t$1_0 \leftarrow y_{t - 1}, $ t$1_1 \leftarrow y_t,$ t$1.used \leftarrow 2$ \\ -\hspace{6mm}13.5.4 $t1 \leftarrow t1 \cdot q_{i - t - 1}$ \\ -\hspace{6mm}13.5.5 t$2_0 \leftarrow x_{i - 2}, $ t$2_1 \leftarrow x_{i - 1}, $ t$2_2 \leftarrow x_i, $ t$2.used \leftarrow 3$ \\ -\hspace{6mm}13.5.6 If $\vert t1 \vert > \vert t2 \vert$ then goto step 13.5. \\ -\hspace{3mm}13.6 t$1 \leftarrow y \cdot q_{i - t - 1}$ \\ -\hspace{3mm}13.7 t$1 \leftarrow $ t$1 \cdot \beta^{i - t - 1}$ \\ -\hspace{3mm}13.8 $x \leftarrow x - $ t$1$ \\ -\hspace{3mm}13.9 If $x.sign = MP\_NEG$ then \\ -\hspace{6mm}13.10 t$1 \leftarrow y$ \\ -\hspace{6mm}13.11 t$1 \leftarrow $ t$1 \cdot \beta^{i - t - 1}$ \\ -\hspace{6mm}13.12 $x \leftarrow x + $ t$1$ \\ -\hspace{6mm}13.13 $q_{i - t - 1} \leftarrow q_{i - t - 1} - 1$ \\ -\\ -Finalize the result. \\ -14. Clamp excess digits of $q$ \\ -15. $c \leftarrow q, c.sign \leftarrow sign$ \\ -16. $x.sign \leftarrow a.sign$ \\ -17. $d \leftarrow \lfloor x / 2^{norm} \rfloor$ \\ -18. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_div (continued)} -\end{figure} -\textbf{Algorithm mp\_div.} -This algorithm will calculate quotient and remainder from an integer division given a dividend and divisor. The algorithm is a signed -division and will produce a fully qualified quotient and remainder. - -First the divisor $b$ must be non-zero which is enforced in step one. If the divisor is larger than the dividend than the quotient is implicitly -zero and the remainder is the dividend. - -After the first two trivial cases of inputs are handled the variable $q$ is setup to receive the digits of the quotient. Two unsigned copies of the -divisor $y$ and dividend $x$ are made as well. The core of the division algorithm is an unsigned division and will only work if the values are -positive. Now the two values $x$ and $y$ must be normalized such that the leading digit of $y$ is greater than or equal to $\beta / 2$. -This is performed by shifting both to the left by enough bits to get the desired normalization. - -At this point the division algorithm can begin producing digits of the quotient. Recall that maximum value of the estimation used is -$2\beta - {2 \over \beta}$ which means that a digit of the quotient must be first produced by another means. In this case $y$ is shifted -to the left (\textit{step ten}) so that it has the same number of digits as $x$. The loop on step eleven will subtract multiples of the -shifted copy of $y$ until $x$ is smaller. Since the leading digit of $y$ is greater than or equal to $\beta/2$ this loop will iterate at most two -times to produce the desired leading digit of the quotient. - -Now the remainder of the digits can be produced. The equation $\hat q = \lfloor {{x_i \beta + x_{i-1}}\over y_t} \rfloor$ is used to fairly -accurately approximate the true quotient digit. The estimation can in theory produce an estimation as high as $2\beta - {2 \over \beta}$ but by -induction the upper quotient digit is correct (\textit{as established on step eleven}) and the estimate must be less than $\beta$. - -Recall from section~\ref{sec:divest} that the estimation is never too low but may be too high. The next step of the estimation process is -to refine the estimation. The loop on step 13.5 uses $x_i\beta^2 + x_{i-1}\beta + x_{i-2}$ and $q_{i - t - 1}(y_t\beta + y_{t-1})$ as a higher -order approximation to adjust the quotient digit. - -After both phases of estimation the quotient digit may still be off by a value of one\footnote{This is similar to the error introduced -by optimizing Barrett reduction.}. Steps 13.6 and 13.7 subtract the multiple of the divisor from the dividend (\textit{Similar to step 3.3 of -algorithm~\ref{fig:raddiv}} and then subsequently add a multiple of the divisor if the quotient was too large. - -Now that the quotient has been determine finializing the result is a matter of clamping the quotient, fixing the sizes and de-normalizing the -remainder. An important aspect of this algorithm seemingly overlooked in other descriptions such as that of Algorithm 14.20 HAC \cite[pp. 598]{HAC} -is that when the estimations are being made (\textit{inside the loop on step 13.5}) that the digits $y_{t-1}$, $x_{i-2}$ and $x_{i-1}$ may lie -outside their respective boundaries. For example, if $t = 0$ or $i \le 1$ then the digits would be undefined. In those cases the digits should -respectively be replaced with a zero. - -EXAM,bn_mp_div.c - -The implementation of this algorithm differs slightly from the pseudo code presented previously. In this algorithm either of the quotient $c$ or -remainder $d$ may be passed as a \textbf{NULL} pointer which indicates their value is not desired. For example, the C code to call the division -algorithm with only the quotient is - -\begin{verbatim} -mp_div(&a, &b, &c, NULL); /* c = [a/b] */ -\end{verbatim} - -Lines @108,if@ and @113,if@ handle the two trivial cases of inputs which are division by zero and dividend smaller than the divisor -respectively. After the two trivial cases all of the temporary variables are initialized. Line @147,neg@ determines the sign of -the quotient and line @148,sign@ ensures that both $x$ and $y$ are positive. - -The number of bits in the leading digit is calculated on line @151,norm@. Implictly an mp\_int with $r$ digits will require $lg(\beta)(r-1) + k$ bits -of precision which when reduced modulo $lg(\beta)$ produces the value of $k$. In this case $k$ is the number of bits in the leading digit which is -exactly what is required. For the algorithm to operate $k$ must equal $lg(\beta) - 1$ and when it does not the inputs must be normalized by shifting -them to the left by $lg(\beta) - 1 - k$ bits. - -Throughout the variables $n$ and $t$ will represent the highest digit of $x$ and $y$ respectively. These are first used to produce the -leading digit of the quotient. The loop beginning on line @184,for@ will produce the remainder of the quotient digits. - -The conditional ``continue'' on line @186,continue@ is used to prevent the algorithm from reading past the leading edge of $x$ which can occur when the -algorithm eliminates multiple non-zero digits in a single iteration. This ensures that $x_i$ is always non-zero since by definition the digits -above the $i$'th position $x$ must be zero in order for the quotient to be precise\footnote{Precise as far as integer division is concerned.}. - -Lines @214,t1@, @216,t1@ and @222,t2@ through @225,t2@ manually construct the high accuracy estimations by setting the digits of the two mp\_int -variables directly. - -\section{Single Digit Helpers} - -This section briefly describes a series of single digit helper algorithms which come in handy when working with small constants. All of -the helper functions assume the single digit input is positive and will treat them as such. - -\subsection{Single Digit Addition and Subtraction} - -Both addition and subtraction are performed by ``cheating'' and using mp\_set followed by the higher level addition or subtraction -algorithms. As a result these algorithms are subtantially simpler with a slight cost in performance. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_add\_d}. \\ -\textbf{Input}. mp\_int $a$ and a mp\_digit $b$ \\ -\textbf{Output}. $c = a + b$ \\ -\hline \\ -1. $t \leftarrow b$ (\textit{mp\_set}) \\ -2. $c \leftarrow a + t$ \\ -3. Return(\textit{MP\_OKAY}) \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_add\_d} -\end{figure} - -\textbf{Algorithm mp\_add\_d.} -This algorithm initiates a temporary mp\_int with the value of the single digit and uses algorithm mp\_add to add the two values together. - -EXAM,bn_mp_add_d.c - -Clever use of the letter 't'. - -\subsubsection{Subtraction} -The single digit subtraction algorithm mp\_sub\_d is essentially the same except it uses mp\_sub to subtract the digit from the mp\_int. - -\subsection{Single Digit Multiplication} -Single digit multiplication arises enough in division and radix conversion that it ought to be implement as a special case of the baseline -multiplication algorithm. Essentially this algorithm is a modified version of algorithm s\_mp\_mul\_digs where one of the multiplicands -only has one digit. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_mul\_d}. \\ -\textbf{Input}. mp\_int $a$ and a mp\_digit $b$ \\ -\textbf{Output}. $c = ab$ \\ -\hline \\ -1. $pa \leftarrow a.used$ \\ -2. Grow $c$ to at least $pa + 1$ digits. \\ -3. $oldused \leftarrow c.used$ \\ -4. $c.used \leftarrow pa + 1$ \\ -5. $c.sign \leftarrow a.sign$ \\ -6. $\mu \leftarrow 0$ \\ -7. for $ix$ from $0$ to $pa - 1$ do \\ -\hspace{3mm}7.1 $\hat r \leftarrow \mu + a_{ix}b$ \\ -\hspace{3mm}7.2 $c_{ix} \leftarrow \hat r \mbox{ (mod }\beta\mbox{)}$ \\ -\hspace{3mm}7.3 $\mu \leftarrow \lfloor \hat r / \beta \rfloor$ \\ -8. $c_{pa} \leftarrow \mu$ \\ -9. for $ix$ from $pa + 1$ to $oldused$ do \\ -\hspace{3mm}9.1 $c_{ix} \leftarrow 0$ \\ -10. Clamp excess digits of $c$. \\ -11. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_mul\_d} -\end{figure} -\textbf{Algorithm mp\_mul\_d.} -This algorithm quickly multiplies an mp\_int by a small single digit value. It is specially tailored to the job and has a minimal of overhead. -Unlike the full multiplication algorithms this algorithm does not require any significnat temporary storage or memory allocations. - -EXAM,bn_mp_mul_d.c - -In this implementation the destination $c$ may point to the same mp\_int as the source $a$ since the result is written after the digit is -read from the source. This function uses pointer aliases $tmpa$ and $tmpc$ for the digits of $a$ and $c$ respectively. - -\subsection{Single Digit Division} -Like the single digit multiplication algorithm, single digit division is also a fairly common algorithm used in radix conversion. Since the -divisor is only a single digit a specialized variant of the division algorithm can be used to compute the quotient. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_div\_d}. \\ -\textbf{Input}. mp\_int $a$ and a mp\_digit $b$ \\ -\textbf{Output}. $c = \lfloor a / b \rfloor, d = a - cb$ \\ -\hline \\ -1. If $b = 0$ then return(\textit{MP\_VAL}).\\ -2. If $b = 3$ then use algorithm mp\_div\_3 instead. \\ -3. Init $q$ to $a.used$ digits. \\ -4. $q.used \leftarrow a.used$ \\ -5. $q.sign \leftarrow a.sign$ \\ -6. $\hat w \leftarrow 0$ \\ -7. for $ix$ from $a.used - 1$ down to $0$ do \\ -\hspace{3mm}7.1 $\hat w \leftarrow \hat w \beta + a_{ix}$ \\ -\hspace{3mm}7.2 If $\hat w \ge b$ then \\ -\hspace{6mm}7.2.1 $t \leftarrow \lfloor \hat w / b \rfloor$ \\ -\hspace{6mm}7.2.2 $\hat w \leftarrow \hat w \mbox{ (mod }b\mbox{)}$ \\ -\hspace{3mm}7.3 else\\ -\hspace{6mm}7.3.1 $t \leftarrow 0$ \\ -\hspace{3mm}7.4 $q_{ix} \leftarrow t$ \\ -8. $d \leftarrow \hat w$ \\ -9. Clamp excess digits of $q$. \\ -10. $c \leftarrow q$ \\ -11. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_div\_d} -\end{figure} -\textbf{Algorithm mp\_div\_d.} -This algorithm divides the mp\_int $a$ by the single mp\_digit $b$ using an optimized approach. Essentially in every iteration of the -algorithm another digit of the dividend is reduced and another digit of quotient produced. Provided $b < \beta$ the value of $\hat w$ -after step 7.1 will be limited such that $0 \le \lfloor \hat w / b \rfloor < \beta$. - -If the divisor $b$ is equal to three a variant of this algorithm is used which is called mp\_div\_3. It replaces the division by three with -a multiplication by $\lfloor \beta / 3 \rfloor$ and the appropriate shift and residual fixup. In essence it is much like the Barrett reduction -from chapter seven. - -EXAM,bn_mp_div_d.c - -Like the implementation of algorithm mp\_div this algorithm allows either of the quotient or remainder to be passed as a \textbf{NULL} pointer to -indicate the respective value is not required. This allows a trivial single digit modular reduction algorithm, mp\_mod\_d to be created. - -The division and remainder on lines @44,/@ and @45,%@ can be replaced often by a single division on most processors. For example, the 32-bit x86 based -processors can divide a 64-bit quantity by a 32-bit quantity and produce the quotient and remainder simultaneously. Unfortunately the GCC -compiler does not recognize that optimization and will actually produce two function calls to find the quotient and remainder respectively. - -\subsection{Single Digit Root Extraction} - -Finding the $n$'th root of an integer is fairly easy as far as numerical analysis is concerned. Algorithms such as the Newton-Raphson approximation -(\ref{eqn:newton}) series will converge very quickly to a root for any continuous function $f(x)$. - -\begin{equation} -x_{i+1} = x_i - {f(x_i) \over f'(x_i)} -\label{eqn:newton} -\end{equation} - -In this case the $n$'th root is desired and $f(x) = x^n - a$ where $a$ is the integer of which the root is desired. The derivative of $f(x)$ is -simply $f'(x) = nx^{n - 1}$. Of particular importance is that this algorithm will be used over the integers not over the a more continuous domain -such as the real numbers. As a result the root found can be above the true root by few and must be manually adjusted. Ideally at the end of the -algorithm the $n$'th root $b$ of an integer $a$ is desired such that $b^n \le a$. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_n\_root}. \\ -\textbf{Input}. mp\_int $a$ and a mp\_digit $b$ \\ -\textbf{Output}. $c^b \le a$ \\ -\hline \\ -1. If $b$ is even and $a.sign = MP\_NEG$ return(\textit{MP\_VAL}). \\ -2. $sign \leftarrow a.sign$ \\ -3. $a.sign \leftarrow MP\_ZPOS$ \\ -4. t$2 \leftarrow 2$ \\ -5. Loop \\ -\hspace{3mm}5.1 t$1 \leftarrow $ t$2$ \\ -\hspace{3mm}5.2 t$3 \leftarrow $ t$1^{b - 1}$ \\ -\hspace{3mm}5.3 t$2 \leftarrow $ t$3 $ $\cdot$ t$1$ \\ -\hspace{3mm}5.4 t$2 \leftarrow $ t$2 - a$ \\ -\hspace{3mm}5.5 t$3 \leftarrow $ t$3 \cdot b$ \\ -\hspace{3mm}5.6 t$3 \leftarrow \lfloor $t$2 / $t$3 \rfloor$ \\ -\hspace{3mm}5.7 t$2 \leftarrow $ t$1 - $ t$3$ \\ -\hspace{3mm}5.8 If t$1 \ne $ t$2$ then goto step 5. \\ -6. Loop \\ -\hspace{3mm}6.1 t$2 \leftarrow $ t$1^b$ \\ -\hspace{3mm}6.2 If t$2 > a$ then \\ -\hspace{6mm}6.2.1 t$1 \leftarrow $ t$1 - 1$ \\ -\hspace{6mm}6.2.2 Goto step 6. \\ -7. $a.sign \leftarrow sign$ \\ -8. $c \leftarrow $ t$1$ \\ -9. $c.sign \leftarrow sign$ \\ -10. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_n\_root} -\end{figure} -\textbf{Algorithm mp\_n\_root.} -This algorithm finds the integer $n$'th root of an input using the Newton-Raphson approach. It is partially optimized based on the observation -that the numerator of ${f(x) \over f'(x)}$ can be derived from a partial denominator. That is at first the denominator is calculated by finding -$x^{b - 1}$. This value can then be multiplied by $x$ and have $a$ subtracted from it to find the numerator. This saves a total of $b - 1$ -multiplications by t$1$ inside the loop. - -The initial value of the approximation is t$2 = 2$ which allows the algorithm to start with very small values and quickly converge on the -root. Ideally this algorithm is meant to find the $n$'th root of an input where $n$ is bounded by $2 \le n \le 5$. - -EXAM,bn_mp_n_root.c - -\section{Random Number Generation} - -Random numbers come up in a variety of activities from public key cryptography to simple simulations and various randomized algorithms. Pollard-Rho -factoring for example, can make use of random values as starting points to find factors of a composite integer. In this case the algorithm presented -is solely for simulations and not intended for cryptographic use. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_rand}. \\ -\textbf{Input}. An integer $b$ \\ -\textbf{Output}. A pseudo-random number of $b$ digits \\ -\hline \\ -1. $a \leftarrow 0$ \\ -2. If $b \le 0$ return(\textit{MP\_OKAY}) \\ -3. Pick a non-zero random digit $d$. \\ -4. $a \leftarrow a + d$ \\ -5. for $ix$ from 1 to $d - 1$ do \\ -\hspace{3mm}5.1 $a \leftarrow a \cdot \beta$ \\ -\hspace{3mm}5.2 Pick a random digit $d$. \\ -\hspace{3mm}5.3 $a \leftarrow a + d$ \\ -6. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_rand} -\end{figure} -\textbf{Algorithm mp\_rand.} -This algorithm produces a pseudo-random integer of $b$ digits. By ensuring that the first digit is non-zero the algorithm also guarantees that the -final result has at least $b$ digits. It relies heavily on a third-part random number generator which should ideally generate uniformly all of -the integers from $0$ to $\beta - 1$. - -EXAM,bn_mp_rand.c - -\section{Formatted Representations} -The ability to emit a radix-$n$ textual representation of an integer is useful for interacting with human parties. For example, the ability to -be given a string of characters such as ``114585'' and turn it into the radix-$\beta$ equivalent would make it easier to enter numbers -into a program. - -\subsection{Reading Radix-n Input} -For the purposes of this text we will assume that a simple lower ASCII map (\ref{fig:ASC}) is used for the values of from $0$ to $63$ to -printable characters. For example, when the character ``N'' is read it represents the integer $23$. The first $16$ characters of the -map are for the common representations up to hexadecimal. After that they match the ``base64'' encoding scheme which are suitable chosen -such that they are printable. While outputting as base64 may not be too helpful for human operators it does allow communication via non binary -mediums. - -\newpage\begin{figure}[here] -\begin{center} -\begin{tabular}{cc|cc|cc|cc} -\hline \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} & \textbf{Value} & \textbf{Char} \\ -\hline -0 & 0 & 1 & 1 & 2 & 2 & 3 & 3 \\ -4 & 4 & 5 & 5 & 6 & 6 & 7 & 7 \\ -8 & 8 & 9 & 9 & 10 & A & 11 & B \\ -12 & C & 13 & D & 14 & E & 15 & F \\ -16 & G & 17 & H & 18 & I & 19 & J \\ -20 & K & 21 & L & 22 & M & 23 & N \\ -24 & O & 25 & P & 26 & Q & 27 & R \\ -28 & S & 29 & T & 30 & U & 31 & V \\ -32 & W & 33 & X & 34 & Y & 35 & Z \\ -36 & a & 37 & b & 38 & c & 39 & d \\ -40 & e & 41 & f & 42 & g & 43 & h \\ -44 & i & 45 & j & 46 & k & 47 & l \\ -48 & m & 49 & n & 50 & o & 51 & p \\ -52 & q & 53 & r & 54 & s & 55 & t \\ -56 & u & 57 & v & 58 & w & 59 & x \\ -60 & y & 61 & z & 62 & $+$ & 63 & $/$ \\ -\hline -\end{tabular} -\end{center} -\caption{Lower ASCII Map} -\label{fig:ASC} -\end{figure} - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_read\_radix}. \\ -\textbf{Input}. A string $str$ of length $sn$ and radix $r$. \\ -\textbf{Output}. The radix-$\beta$ equivalent mp\_int. \\ -\hline \\ -1. If $r < 2$ or $r > 64$ return(\textit{MP\_VAL}). \\ -2. $ix \leftarrow 0$ \\ -3. If $str_0 =$ ``-'' then do \\ -\hspace{3mm}3.1 $ix \leftarrow ix + 1$ \\ -\hspace{3mm}3.2 $sign \leftarrow MP\_NEG$ \\ -4. else \\ -\hspace{3mm}4.1 $sign \leftarrow MP\_ZPOS$ \\ -5. $a \leftarrow 0$ \\ -6. for $iy$ from $ix$ to $sn - 1$ do \\ -\hspace{3mm}6.1 Let $y$ denote the position in the map of $str_{iy}$. \\ -\hspace{3mm}6.2 If $str_{iy}$ is not in the map or $y \ge r$ then goto step 7. \\ -\hspace{3mm}6.3 $a \leftarrow a \cdot r$ \\ -\hspace{3mm}6.4 $a \leftarrow a + y$ \\ -7. If $a \ne 0$ then $a.sign \leftarrow sign$ \\ -8. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_read\_radix} -\end{figure} -\textbf{Algorithm mp\_read\_radix.} -This algorithm will read an ASCII string and produce the radix-$\beta$ mp\_int representation of the same integer. A minus symbol ``-'' may precede the -string to indicate the value is negative, otherwise it is assumed to be positive. The algorithm will read up to $sn$ characters from the input -and will stop when it reads a character it cannot map the algorithm stops reading characters from the string. This allows numbers to be embedded -as part of larger input without any significant problem. - -EXAM,bn_mp_read_radix.c - -\subsection{Generating Radix-$n$ Output} -Generating radix-$n$ output is fairly trivial with a division and remainder algorithm. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_toradix}. \\ -\textbf{Input}. A mp\_int $a$ and an integer $r$\\ -\textbf{Output}. The radix-$r$ representation of $a$ \\ -\hline \\ -1. If $r < 2$ or $r > 64$ return(\textit{MP\_VAL}). \\ -2. If $a = 0$ then $str = $ ``$0$'' and return(\textit{MP\_OKAY}). \\ -3. $t \leftarrow a$ \\ -4. $str \leftarrow$ ``'' \\ -5. if $t.sign = MP\_NEG$ then \\ -\hspace{3mm}5.1 $str \leftarrow str + $ ``-'' \\ -\hspace{3mm}5.2 $t.sign = MP\_ZPOS$ \\ -6. While ($t \ne 0$) do \\ -\hspace{3mm}6.1 $d \leftarrow t \mbox{ (mod }r\mbox{)}$ \\ -\hspace{3mm}6.2 $t \leftarrow \lfloor t / r \rfloor$ \\ -\hspace{3mm}6.3 Look up $d$ in the map and store the equivalent character in $y$. \\ -\hspace{3mm}6.4 $str \leftarrow str + y$ \\ -7. If $str_0 = $``$-$'' then \\ -\hspace{3mm}7.1 Reverse the digits $str_1, str_2, \ldots str_n$. \\ -8. Otherwise \\ -\hspace{3mm}8.1 Reverse the digits $str_0, str_1, \ldots str_n$. \\ -9. Return(\textit{MP\_OKAY}).\\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_toradix} -\end{figure} -\textbf{Algorithm mp\_toradix.} -This algorithm computes the radix-$r$ representation of an mp\_int $a$. The ``digits'' of the representation are extracted by reducing -successive powers of $\lfloor a / r^k \rfloor$ the input modulo $r$ until $r^k > a$. Note that instead of actually dividing by $r^k$ in -each iteration the quotient $\lfloor a / r \rfloor$ is saved for the next iteration. As a result a series of trivial $n \times 1$ divisions -are required instead of a series of $n \times k$ divisions. One design flaw of this approach is that the digits are produced in the reverse order -(see~\ref{fig:mpradix}). To remedy this flaw the digits must be swapped or simply ``reversed''. - -\begin{figure} -\begin{center} -\begin{tabular}{|c|c|c|} -\hline \textbf{Value of $a$} & \textbf{Value of $d$} & \textbf{Value of $str$} \\ -\hline $1234$ & -- & -- \\ -\hline $123$ & $4$ & ``4'' \\ -\hline $12$ & $3$ & ``43'' \\ -\hline $1$ & $2$ & ``432'' \\ -\hline $0$ & $1$ & ``4321'' \\ -\hline -\end{tabular} -\end{center} -\caption{Example of Algorithm mp\_toradix.} -\label{fig:mpradix} -\end{figure} - -EXAM,bn_mp_toradix.c - -\chapter{Number Theoretic Algorithms} -This chapter discusses several fundamental number theoretic algorithms such as the greatest common divisor, least common multiple and Jacobi -symbol computation. These algorithms arise as essential components in several key cryptographic algorithms such as the RSA public key algorithm and -various Sieve based factoring algorithms. - -\section{Greatest Common Divisor} -The greatest common divisor of two integers $a$ and $b$, often denoted as $(a, b)$ is the largest integer $k$ that is a proper divisor of -both $a$ and $b$. That is, $k$ is the largest integer such that $0 \equiv a \mbox{ (mod }k\mbox{)}$ and $0 \equiv b \mbox{ (mod }k\mbox{)}$ occur -simultaneously. - -The most common approach (cite) is to reduce one input modulo another. That is if $a$ and $b$ are divisible by some integer $k$ and if $qa + r = b$ then -$r$ is also divisible by $k$. The reduction pattern follows $\left < a , b \right > \rightarrow \left < b, a \mbox{ mod } b \right >$. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Greatest Common Divisor (I)}. \\ -\textbf{Input}. Two positive integers $a$ and $b$ greater than zero. \\ -\textbf{Output}. The greatest common divisor $(a, b)$. \\ -\hline \\ -1. While ($b > 0$) do \\ -\hspace{3mm}1.1 $r \leftarrow a \mbox{ (mod }b\mbox{)}$ \\ -\hspace{3mm}1.2 $a \leftarrow b$ \\ -\hspace{3mm}1.3 $b \leftarrow r$ \\ -2. Return($a$). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Greatest Common Divisor (I)} -\label{fig:gcd1} -\end{figure} - -This algorithm will quickly converge on the greatest common divisor since the residue $r$ tends diminish rapidly. However, divisions are -relatively expensive operations to perform and should ideally be avoided. There is another approach based on a similar relationship of -greatest common divisors. The faster approach is based on the observation that if $k$ divides both $a$ and $b$ it will also divide $a - b$. -In particular, we would like $a - b$ to decrease in magnitude which implies that $b \ge a$. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Greatest Common Divisor (II)}. \\ -\textbf{Input}. Two positive integers $a$ and $b$ greater than zero. \\ -\textbf{Output}. The greatest common divisor $(a, b)$. \\ -\hline \\ -1. While ($b > 0$) do \\ -\hspace{3mm}1.1 Swap $a$ and $b$ such that $a$ is the smallest of the two. \\ -\hspace{3mm}1.2 $b \leftarrow b - a$ \\ -2. Return($a$). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Greatest Common Divisor (II)} -\label{fig:gcd2} -\end{figure} - -\textbf{Proof} \textit{Algorithm~\ref{fig:gcd2} will return the greatest common divisor of $a$ and $b$.} -The algorithm in figure~\ref{fig:gcd2} will eventually terminate since $b \ge a$ the subtraction in step 1.2 will be a value less than $b$. In other -words in every iteration that tuple $\left < a, b \right >$ decrease in magnitude until eventually $a = b$. Since both $a$ and $b$ are always -divisible by the greatest common divisor (\textit{until the last iteration}) and in the last iteration of the algorithm $b = 0$, therefore, in the -second to last iteration of the algorithm $b = a$ and clearly $(a, a) = a$ which concludes the proof. \textbf{QED}. - -As a matter of practicality algorithm \ref{fig:gcd1} decreases far too slowly to be useful. Specially if $b$ is much larger than $a$ such that -$b - a$ is still very much larger than $a$. A simple addition to the algorithm is to divide $b - a$ by a power of some integer $p$ which does -not divide the greatest common divisor but will divide $b - a$. In this case ${b - a} \over p$ is also an integer and still divisible by -the greatest common divisor. - -However, instead of factoring $b - a$ to find a suitable value of $p$ the powers of $p$ can be removed from $a$ and $b$ that are in common first. -Then inside the loop whenever $b - a$ is divisible by some power of $p$ it can be safely removed. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{Greatest Common Divisor (III)}. \\ -\textbf{Input}. Two positive integers $a$ and $b$ greater than zero. \\ -\textbf{Output}. The greatest common divisor $(a, b)$. \\ -\hline \\ -1. $k \leftarrow 0$ \\ -2. While $a$ and $b$ are both divisible by $p$ do \\ -\hspace{3mm}2.1 $a \leftarrow \lfloor a / p \rfloor$ \\ -\hspace{3mm}2.2 $b \leftarrow \lfloor b / p \rfloor$ \\ -\hspace{3mm}2.3 $k \leftarrow k + 1$ \\ -3. While $a$ is divisible by $p$ do \\ -\hspace{3mm}3.1 $a \leftarrow \lfloor a / p \rfloor$ \\ -4. While $b$ is divisible by $p$ do \\ -\hspace{3mm}4.1 $b \leftarrow \lfloor b / p \rfloor$ \\ -5. While ($b > 0$) do \\ -\hspace{3mm}5.1 Swap $a$ and $b$ such that $a$ is the smallest of the two. \\ -\hspace{3mm}5.2 $b \leftarrow b - a$ \\ -\hspace{3mm}5.3 While $b$ is divisible by $p$ do \\ -\hspace{6mm}5.3.1 $b \leftarrow \lfloor b / p \rfloor$ \\ -6. Return($a \cdot p^k$). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm Greatest Common Divisor (III)} -\label{fig:gcd3} -\end{figure} - -This algorithm is based on the first except it removes powers of $p$ first and inside the main loop to ensure the tuple $\left < a, b \right >$ -decreases more rapidly. The first loop on step two removes powers of $p$ that are in common. A count, $k$, is kept which will present a common -divisor of $p^k$. After step two the remaining common divisor of $a$ and $b$ cannot be divisible by $p$. This means that $p$ can be safely -divided out of the difference $b - a$ so long as the division leaves no remainder. - -In particular the value of $p$ should be chosen such that the division on step 5.3.1 occur often. It also helps that division by $p$ be easy -to compute. The ideal choice of $p$ is two since division by two amounts to a right logical shift. Another important observation is that by -step five both $a$ and $b$ are odd. Therefore, the diffrence $b - a$ must be even which means that each iteration removes one bit from the -largest of the pair. - -\subsection{Complete Greatest Common Divisor} -The algorithms presented so far cannot handle inputs which are zero or negative. The following algorithm can handle all input cases properly -and will produce the greatest common divisor. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_gcd}. \\ -\textbf{Input}. mp\_int $a$ and $b$ \\ -\textbf{Output}. The greatest common divisor $c = (a, b)$. \\ -\hline \\ -1. If $a = 0$ then \\ -\hspace{3mm}1.1 $c \leftarrow \vert b \vert $ \\ -\hspace{3mm}1.2 Return(\textit{MP\_OKAY}). \\ -2. If $b = 0$ then \\ -\hspace{3mm}2.1 $c \leftarrow \vert a \vert $ \\ -\hspace{3mm}2.2 Return(\textit{MP\_OKAY}). \\ -3. $u \leftarrow \vert a \vert, v \leftarrow \vert b \vert$ \\ -4. $k \leftarrow 0$ \\ -5. While $u.used > 0$ and $v.used > 0$ and $u_0 \equiv v_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}5.1 $k \leftarrow k + 1$ \\ -\hspace{3mm}5.2 $u \leftarrow \lfloor u / 2 \rfloor$ \\ -\hspace{3mm}5.3 $v \leftarrow \lfloor v / 2 \rfloor$ \\ -6. While $u.used > 0$ and $u_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}6.1 $u \leftarrow \lfloor u / 2 \rfloor$ \\ -7. While $v.used > 0$ and $v_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}7.1 $v \leftarrow \lfloor v / 2 \rfloor$ \\ -8. While $v.used > 0$ \\ -\hspace{3mm}8.1 If $\vert u \vert > \vert v \vert$ then \\ -\hspace{6mm}8.1.1 Swap $u$ and $v$. \\ -\hspace{3mm}8.2 $v \leftarrow \vert v \vert - \vert u \vert$ \\ -\hspace{3mm}8.3 While $v.used > 0$ and $v_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{6mm}8.3.1 $v \leftarrow \lfloor v / 2 \rfloor$ \\ -9. $c \leftarrow u \cdot 2^k$ \\ -10. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_gcd} -\end{figure} -\textbf{Algorithm mp\_gcd.} -This algorithm will produce the greatest common divisor of two mp\_ints $a$ and $b$. The algorithm was originally based on Algorithm B of -Knuth \cite[pp. 338]{TAOCPV2} but has been modified to be simpler to explain. In theory it achieves the same asymptotic working time as -Algorithm B and in practice this appears to be true. - -The first two steps handle the cases where either one of or both inputs are zero. If either input is zero the greatest common divisor is the -largest input or zero if they are both zero. If the inputs are not trivial than $u$ and $v$ are assigned the absolute values of -$a$ and $b$ respectively and the algorithm will proceed to reduce the pair. - -Step five will divide out any common factors of two and keep track of the count in the variable $k$. After this step, two is no longer a -factor of the remaining greatest common divisor between $u$ and $v$ and can be safely evenly divided out of either whenever they are even. Step -six and seven ensure that the $u$ and $v$ respectively have no more factors of two. At most only one of the while--loops will iterate since -they cannot both be even. - -By step eight both of $u$ and $v$ are odd which is required for the inner logic. First the pair are swapped such that $v$ is equal to -or greater than $u$. This ensures that the subtraction on step 8.2 will always produce a positive and even result. Step 8.3 removes any -factors of two from the difference $u$ to ensure that in the next iteration of the loop both are once again odd. - -After $v = 0$ occurs the variable $u$ has the greatest common divisor of the pair $\left < u, v \right >$ just after step six. The result -must be adjusted by multiplying by the common factors of two ($2^k$) removed earlier. - -EXAM,bn_mp_gcd.c - -This function makes use of the macros mp\_iszero and mp\_iseven. The former evaluates to $1$ if the input mp\_int is equivalent to the -integer zero otherwise it evaluates to $0$. The latter evaluates to $1$ if the input mp\_int represents a non-zero even integer otherwise -it evaluates to $0$. Note that just because mp\_iseven may evaluate to $0$ does not mean the input is odd, it could also be zero. The three -trivial cases of inputs are handled on lines @23,zero@ through @29,}@. After those lines the inputs are assumed to be non-zero. - -Lines @32,if@ and @36,if@ make local copies $u$ and $v$ of the inputs $a$ and $b$ respectively. At this point the common factors of two -must be divided out of the two inputs. The block starting at line @43,common@ removes common factors of two by first counting the number of trailing -zero bits in both. The local integer $k$ is used to keep track of how many factors of $2$ are pulled out of both values. It is assumed that -the number of factors will not exceed the maximum value of a C ``int'' data type\footnote{Strictly speaking no array in C may have more than -entries than are accessible by an ``int'' so this is not a limitation.}. - -At this point there are no more common factors of two in the two values. The divisions by a power of two on lines @60,div_2d@ and @67,div_2d@ remove -any independent factors of two such that both $u$ and $v$ are guaranteed to be an odd integer before hitting the main body of the algorithm. The while loop -on line @72, while@ performs the reduction of the pair until $v$ is equal to zero. The unsigned comparison and subtraction algorithms are used in -place of the full signed routines since both values are guaranteed to be positive and the result of the subtraction is guaranteed to be non-negative. - -\section{Least Common Multiple} -The least common multiple of a pair of integers is their product divided by their greatest common divisor. For two integers $a$ and $b$ the -least common multiple is normally denoted as $[ a, b ]$ and numerically equivalent to ${ab} \over {(a, b)}$. For example, if $a = 2 \cdot 2 \cdot 3 = 12$ -and $b = 2 \cdot 3 \cdot 3 \cdot 7 = 126$ the least common multiple is ${126 \over {(12, 126)}} = {126 \over 6} = 21$. - -The least common multiple arises often in coding theory as well as number theory. If two functions have periods of $a$ and $b$ respectively they will -collide, that is be in synchronous states, after only $[ a, b ]$ iterations. This is why, for example, random number generators based on -Linear Feedback Shift Registers (LFSR) tend to use registers with periods which are co-prime (\textit{e.g. the greatest common divisor is one.}). -Similarly in number theory if a composite $n$ has two prime factors $p$ and $q$ then maximal order of any unit of $\Z/n\Z$ will be $[ p - 1, q - 1] $. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_lcm}. \\ -\textbf{Input}. mp\_int $a$ and $b$ \\ -\textbf{Output}. The least common multiple $c = [a, b]$. \\ -\hline \\ -1. $c \leftarrow (a, b)$ \\ -2. $t \leftarrow a \cdot b$ \\ -3. $c \leftarrow \lfloor t / c \rfloor$ \\ -4. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_lcm} -\end{figure} -\textbf{Algorithm mp\_lcm.} -This algorithm computes the least common multiple of two mp\_int inputs $a$ and $b$. It computes the least common multiple directly by -dividing the product of the two inputs by their greatest common divisor. - -EXAM,bn_mp_lcm.c - -\section{Jacobi Symbol Computation} -To explain the Jacobi Symbol we shall first discuss the Legendre function\footnote{Arrg. What is the name of this?} off which the Jacobi symbol is -defined. The Legendre function computes whether or not an integer $a$ is a quadratic residue modulo an odd prime $p$. Numerically it is -equivalent to equation \ref{eqn:legendre}. - -\textit{-- Tom, don't be an ass, cite your source here...!} - -\begin{equation} -a^{(p-1)/2} \equiv \begin{array}{rl} - -1 & \mbox{if }a\mbox{ is a quadratic non-residue.} \\ - 0 & \mbox{if }a\mbox{ divides }p\mbox{.} \\ - 1 & \mbox{if }a\mbox{ is a quadratic residue}. - \end{array} \mbox{ (mod }p\mbox{)} -\label{eqn:legendre} -\end{equation} - -\textbf{Proof.} \textit{Equation \ref{eqn:legendre} correctly identifies the residue status of an integer $a$ modulo a prime $p$.} -An integer $a$ is a quadratic residue if the following equation has a solution. - -\begin{equation} -x^2 \equiv a \mbox{ (mod }p\mbox{)} -\label{eqn:root} -\end{equation} - -Consider the following equation. - -\begin{equation} -0 \equiv x^{p-1} - 1 \equiv \left \lbrace \left (x^2 \right )^{(p-1)/2} - a^{(p-1)/2} \right \rbrace + \left ( a^{(p-1)/2} - 1 \right ) \mbox{ (mod }p\mbox{)} -\label{eqn:rooti} -\end{equation} - -Whether equation \ref{eqn:root} has a solution or not equation \ref{eqn:rooti} is always true. If $a^{(p-1)/2} - 1 \equiv 0 \mbox{ (mod }p\mbox{)}$ -then the quantity in the braces must be zero. By reduction, - -\begin{eqnarray} -\left (x^2 \right )^{(p-1)/2} - a^{(p-1)/2} \equiv 0 \nonumber \\ -\left (x^2 \right )^{(p-1)/2} \equiv a^{(p-1)/2} \nonumber \\ -x^2 \equiv a \mbox{ (mod }p\mbox{)} -\end{eqnarray} - -As a result there must be a solution to the quadratic equation and in turn $a$ must be a quadratic residue. If $a$ does not divide $p$ and $a$ -is not a quadratic residue then the only other value $a^{(p-1)/2}$ may be congruent to is $-1$ since -\begin{equation} -0 \equiv a^{p - 1} - 1 \equiv (a^{(p-1)/2} + 1)(a^{(p-1)/2} - 1) \mbox{ (mod }p\mbox{)} -\end{equation} -One of the terms on the right hand side must be zero. \textbf{QED} - -\subsection{Jacobi Symbol} -The Jacobi symbol is a generalization of the Legendre function for any odd non prime moduli $p$ greater than 2. If $p = \prod_{i=0}^n p_i$ then -the Jacobi symbol $\left ( { a \over p } \right )$ is equal to the following equation. - -\begin{equation} -\left ( { a \over p } \right ) = \left ( { a \over p_0} \right ) \left ( { a \over p_1} \right ) \ldots \left ( { a \over p_n} \right ) -\end{equation} - -By inspection if $p$ is prime the Jacobi symbol is equivalent to the Legendre function. The following facts\footnote{See HAC \cite[pp. 72-74]{HAC} for -further details.} will be used to derive an efficient Jacobi symbol algorithm. Where $p$ is an odd integer greater than two and $a, b \in \Z$ the -following are true. - -\begin{enumerate} -\item $\left ( { a \over p} \right )$ equals $-1$, $0$ or $1$. -\item $\left ( { ab \over p} \right ) = \left ( { a \over p} \right )\left ( { b \over p} \right )$. -\item If $a \equiv b$ then $\left ( { a \over p} \right ) = \left ( { b \over p} \right )$. -\item $\left ( { 2 \over p} \right )$ equals $1$ if $p \equiv 1$ or $7 \mbox{ (mod }8\mbox{)}$. Otherwise, it equals $-1$. -\item $\left ( { a \over p} \right ) \equiv \left ( { p \over a} \right ) \cdot (-1)^{(p-1)(a-1)/4}$. More specifically -$\left ( { a \over p} \right ) = \left ( { p \over a} \right )$ if $p \equiv a \equiv 1 \mbox{ (mod }4\mbox{)}$. -\end{enumerate} - -Using these facts if $a = 2^k \cdot a'$ then - -\begin{eqnarray} -\left ( { a \over p } \right ) = \left ( {{2^k} \over p } \right ) \left ( {a' \over p} \right ) \nonumber \\ - = \left ( {2 \over p } \right )^k \left ( {a' \over p} \right ) -\label{eqn:jacobi} -\end{eqnarray} - -By fact five, - -\begin{equation} -\left ( { a \over p } \right ) = \left ( { p \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} -\end{equation} - -Subsequently by fact three since $p \equiv (p \mbox{ mod }a) \mbox{ (mod }a\mbox{)}$ then - -\begin{equation} -\left ( { a \over p } \right ) = \left ( { {p \mbox{ mod } a} \over a } \right ) \cdot (-1)^{(p-1)(a-1)/4} -\end{equation} - -By putting both observations into equation \ref{eqn:jacobi} the following simplified equation is formed. - -\begin{equation} -\left ( { a \over p } \right ) = \left ( {2 \over p } \right )^k \left ( {{p\mbox{ mod }a'} \over a'} \right ) \cdot (-1)^{(p-1)(a'-1)/4} -\end{equation} - -The value of $\left ( {{p \mbox{ mod }a'} \over a'} \right )$ can be found by using the same equation recursively. The value of -$\left ( {2 \over p } \right )^k$ equals $1$ if $k$ is even otherwise it equals $\left ( {2 \over p } \right )$. Using this approach the -factors of $p$ do not have to be known. Furthermore, if $(a, p) = 1$ then the algorithm will terminate when the recursion requests the -Jacobi symbol computation of $\left ( {1 \over a'} \right )$ which is simply $1$. - -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_jacobi}. \\ -\textbf{Input}. mp\_int $a$ and $p$, $a \ge 0$, $p \ge 3$, $p \equiv 1 \mbox{ (mod }2\mbox{)}$ \\ -\textbf{Output}. The Jacobi symbol $c = \left ( {a \over p } \right )$. \\ -\hline \\ -1. If $a = 0$ then \\ -\hspace{3mm}1.1 $c \leftarrow 0$ \\ -\hspace{3mm}1.2 Return(\textit{MP\_OKAY}). \\ -2. If $a = 1$ then \\ -\hspace{3mm}2.1 $c \leftarrow 1$ \\ -\hspace{3mm}2.2 Return(\textit{MP\_OKAY}). \\ -3. $a' \leftarrow a$ \\ -4. $k \leftarrow 0$ \\ -5. While $a'.used > 0$ and $a'_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}5.1 $k \leftarrow k + 1$ \\ -\hspace{3mm}5.2 $a' \leftarrow \lfloor a' / 2 \rfloor$ \\ -6. If $k \equiv 0 \mbox{ (mod }2\mbox{)}$ then \\ -\hspace{3mm}6.1 $s \leftarrow 1$ \\ -7. else \\ -\hspace{3mm}7.1 $r \leftarrow p_0 \mbox{ (mod }8\mbox{)}$ \\ -\hspace{3mm}7.2 If $r = 1$ or $r = 7$ then \\ -\hspace{6mm}7.2.1 $s \leftarrow 1$ \\ -\hspace{3mm}7.3 else \\ -\hspace{6mm}7.3.1 $s \leftarrow -1$ \\ -8. If $p_0 \equiv a'_0 \equiv 3 \mbox{ (mod }4\mbox{)}$ then \\ -\hspace{3mm}8.1 $s \leftarrow -s$ \\ -9. If $a' \ne 1$ then \\ -\hspace{3mm}9.1 $p' \leftarrow p \mbox{ (mod }a'\mbox{)}$ \\ -\hspace{3mm}9.2 $s \leftarrow s \cdot \mbox{mp\_jacobi}(p', a')$ \\ -10. $c \leftarrow s$ \\ -11. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_jacobi} -\end{figure} -\textbf{Algorithm mp\_jacobi.} -This algorithm computes the Jacobi symbol for an arbitrary positive integer $a$ with respect to an odd integer $p$ greater than three. The algorithm -is based on algorithm 2.149 of HAC \cite[pp. 73]{HAC}. - -Step numbers one and two handle the trivial cases of $a = 0$ and $a = 1$ respectively. Step five determines the number of two factors in the -input $a$. If $k$ is even than the term $\left ( { 2 \over p } \right )^k$ must always evaluate to one. If $k$ is odd than the term evaluates to one -if $p_0$ is congruent to one or seven modulo eight, otherwise it evaluates to $-1$. After the the $\left ( { 2 \over p } \right )^k$ term is handled -the $(-1)^{(p-1)(a'-1)/4}$ is computed and multiplied against the current product $s$. The latter term evaluates to one if both $p$ and $a'$ -are congruent to one modulo four, otherwise it evaluates to negative one. - -By step nine if $a'$ does not equal one a recursion is required. Step 9.1 computes $p' \equiv p \mbox{ (mod }a'\mbox{)}$ and will recurse to compute -$\left ( {p' \over a'} \right )$ which is multiplied against the current Jacobi product. - -EXAM,bn_mp_jacobi.c - -As a matter of practicality the variable $a'$ as per the pseudo-code is reprensented by the variable $a1$ since the $'$ symbol is not valid for a C -variable name character. - -The two simple cases of $a = 0$ and $a = 1$ are handled at the very beginning to simplify the algorithm. If the input is non-trivial the algorithm -has to proceed compute the Jacobi. The variable $s$ is used to hold the current Jacobi product. Note that $s$ is merely a C ``int'' data type since -the values it may obtain are merely $-1$, $0$ and $1$. - -After a local copy of $a$ is made all of the factors of two are divided out and the total stored in $k$. Technically only the least significant -bit of $k$ is required, however, it makes the algorithm simpler to follow to perform an addition. In practice an exclusive-or and addition have the same -processor requirements and neither is faster than the other. - -Line @59, if@ through @70, }@ determines the value of $\left ( { 2 \over p } \right )^k$. If the least significant bit of $k$ is zero than -$k$ is even and the value is one. Otherwise, the value of $s$ depends on which residue class $p$ belongs to modulo eight. The value of -$(-1)^{(p-1)(a'-1)/4}$ is compute and multiplied against $s$ on lines @73, if@ through @75, }@. - -Finally, if $a1$ does not equal one the algorithm must recurse and compute $\left ( {p' \over a'} \right )$. - -\textit{-- Comment about default $s$ and such...} - -\section{Modular Inverse} -\label{sec:modinv} -The modular inverse of a number actually refers to the modular multiplicative inverse. Essentially for any integer $a$ such that $(a, p) = 1$ there -exist another integer $b$ such that $ab \equiv 1 \mbox{ (mod }p\mbox{)}$. The integer $b$ is called the multiplicative inverse of $a$ which is -denoted as $b = a^{-1}$. Technically speaking modular inversion is a well defined operation for any finite ring or field not just for rings and -fields of integers. However, the former will be the matter of discussion. - -The simplest approach is to compute the algebraic inverse of the input. That is to compute $b \equiv a^{\Phi(p) - 1}$. If $\Phi(p)$ is the -order of the multiplicative subgroup modulo $p$ then $b$ must be the multiplicative inverse of $a$. The proof of which is trivial. - -\begin{equation} -ab \equiv a \left (a^{\Phi(p) - 1} \right ) \equiv a^{\Phi(p)} \equiv a^0 \equiv 1 \mbox{ (mod }p\mbox{)} -\end{equation} - -However, as simple as this approach may be it has two serious flaws. It requires that the value of $\Phi(p)$ be known which if $p$ is composite -requires all of the prime factors. This approach also is very slow as the size of $p$ grows. - -A simpler approach is based on the observation that solving for the multiplicative inverse is equivalent to solving the linear -Diophantine\footnote{See LeVeque \cite[pp. 40-43]{LeVeque} for more information.} equation. - -\begin{equation} -ab + pq = 1 -\end{equation} - -Where $a$, $b$, $p$ and $q$ are all integers. If such a pair of integers $ \left < b, q \right >$ exist than $b$ is the multiplicative inverse of -$a$ modulo $p$. The extended Euclidean algorithm (Knuth \cite[pp. 342]{TAOCPV2}) can be used to solve such equations provided $(a, p) = 1$. -However, instead of using that algorithm directly a variant known as the binary Extended Euclidean algorithm will be used in its place. The -binary approach is very similar to the binary greatest common divisor algorithm except it will produce a full solution to the Diophantine -equation. - -\subsection{General Case} -\newpage\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_invmod}. \\ -\textbf{Input}. mp\_int $a$ and $b$, $(a, b) = 1$, $p \ge 2$, $0 < a < p$. \\ -\textbf{Output}. The modular inverse $c \equiv a^{-1} \mbox{ (mod }b\mbox{)}$. \\ -\hline \\ -1. If $b \le 0$ then return(\textit{MP\_VAL}). \\ -2. If $b_0 \equiv 1 \mbox{ (mod }2\mbox{)}$ then use algorithm fast\_mp\_invmod. \\ -3. $x \leftarrow \vert a \vert, y \leftarrow b$ \\ -4. If $x_0 \equiv y_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ then return(\textit{MP\_VAL}). \\ -5. $B \leftarrow 0, C \leftarrow 0, A \leftarrow 1, D \leftarrow 1$ \\ -6. While $u.used > 0$ and $u_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}6.1 $u \leftarrow \lfloor u / 2 \rfloor$ \\ -\hspace{3mm}6.2 If ($A.used > 0$ and $A_0 \equiv 1 \mbox{ (mod }2\mbox{)}$) or ($B.used > 0$ and $B_0 \equiv 1 \mbox{ (mod }2\mbox{)}$) then \\ -\hspace{6mm}6.2.1 $A \leftarrow A + y$ \\ -\hspace{6mm}6.2.2 $B \leftarrow B - x$ \\ -\hspace{3mm}6.3 $A \leftarrow \lfloor A / 2 \rfloor$ \\ -\hspace{3mm}6.4 $B \leftarrow \lfloor B / 2 \rfloor$ \\ -7. While $v.used > 0$ and $v_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}7.1 $v \leftarrow \lfloor v / 2 \rfloor$ \\ -\hspace{3mm}7.2 If ($C.used > 0$ and $C_0 \equiv 1 \mbox{ (mod }2\mbox{)}$) or ($D.used > 0$ and $D_0 \equiv 1 \mbox{ (mod }2\mbox{)}$) then \\ -\hspace{6mm}7.2.1 $C \leftarrow C + y$ \\ -\hspace{6mm}7.2.2 $D \leftarrow D - x$ \\ -\hspace{3mm}7.3 $C \leftarrow \lfloor C / 2 \rfloor$ \\ -\hspace{3mm}7.4 $D \leftarrow \lfloor D / 2 \rfloor$ \\ -8. If $u \ge v$ then \\ -\hspace{3mm}8.1 $u \leftarrow u - v$ \\ -\hspace{3mm}8.2 $A \leftarrow A - C$ \\ -\hspace{3mm}8.3 $B \leftarrow B - D$ \\ -9. else \\ -\hspace{3mm}9.1 $v \leftarrow v - u$ \\ -\hspace{3mm}9.2 $C \leftarrow C - A$ \\ -\hspace{3mm}9.3 $D \leftarrow D - B$ \\ -10. If $u \ne 0$ goto step 6. \\ -11. If $v \ne 1$ return(\textit{MP\_VAL}). \\ -12. While $C \le 0$ do \\ -\hspace{3mm}12.1 $C \leftarrow C + b$ \\ -13. While $C \ge b$ do \\ -\hspace{3mm}13.1 $C \leftarrow C - b$ \\ -14. $c \leftarrow C$ \\ -15. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\end{figure} -\textbf{Algorithm mp\_invmod.} -This algorithm computes the modular multiplicative inverse of an integer $a$ modulo an integer $b$. This algorithm is a variation of the -extended binary Euclidean algorithm from HAC \cite[pp. 608]{HAC}. It has been modified to only compute the modular inverse and not a complete -Diophantine solution. - -If $b \le 0$ than the modulus is invalid and MP\_VAL is returned. Similarly if both $a$ and $b$ are even then there cannot be a multiplicative -inverse for $a$ and the error is reported. - -The astute reader will observe that steps seven through nine are very similar to the binary greatest common divisor algorithm mp\_gcd. In this case -the other variables to the Diophantine equation are solved. The algorithm terminates when $u = 0$ in which case the solution is - -\begin{equation} -Ca + Db = v -\end{equation} - -If $v$, the greatest common divisor of $a$ and $b$ is not equal to one then the algorithm will report an error as no inverse exists. Otherwise, $C$ -is the modular inverse of $a$. The actual value of $C$ is congruent to, but not necessarily equal to, the ideal modular inverse which should lie -within $1 \le a^{-1} < b$. Step numbers twelve and thirteen adjust the inverse until it is in range. If the original input $a$ is within $0 < a < p$ -then only a couple of additions or subtractions will be required to adjust the inverse. - -EXAM,bn_mp_invmod.c - -\subsubsection{Odd Moduli} - -When the modulus $b$ is odd the variables $A$ and $C$ are fixed and are not required to compute the inverse. In particular by attempting to solve -the Diophantine $Cb + Da = 1$ only $B$ and $D$ are required to find the inverse of $a$. - -The algorithm fast\_mp\_invmod is a direct adaptation of algorithm mp\_invmod with all all steps involving either $A$ or $C$ removed. This -optimization will halve the time required to compute the modular inverse. - -\section{Primality Tests} - -A non-zero integer $a$ is said to be prime if it is not divisible by any other integer excluding one and itself. For example, $a = 7$ is prime -since the integers $2 \ldots 6$ do not evenly divide $a$. By contrast, $a = 6$ is not prime since $a = 6 = 2 \cdot 3$. - -Prime numbers arise in cryptography considerably as they allow finite fields to be formed. The ability to determine whether an integer is prime or -not quickly has been a viable subject in cryptography and number theory for considerable time. The algorithms that will be presented are all -probablistic algorithms in that when they report an integer is composite it must be composite. However, when the algorithms report an integer is -prime the algorithm may be incorrect. - -As will be discussed it is possible to limit the probability of error so well that for practical purposes the probablity of error might as -well be zero. For the purposes of these discussions let $n$ represent the candidate integer of which the primality is in question. - -\subsection{Trial Division} - -Trial division means to attempt to evenly divide a candidate integer by small prime integers. If the candidate can be evenly divided it obviously -cannot be prime. By dividing by all primes $1 < p \le \sqrt{n}$ this test can actually prove whether an integer is prime. However, such a test -would require a prohibitive amount of time as $n$ grows. - -Instead of dividing by every prime, a smaller, more mangeable set of primes may be used instead. By performing trial division with only a subset -of the primes less than $\sqrt{n} + 1$ the algorithm cannot prove if a candidate is prime. However, often it can prove a candidate is not prime. - -The benefit of this test is that trial division by small values is fairly efficient. Specially compared to the other algorithms that will be -discussed shortly. The probability that this approach correctly identifies a composite candidate when tested with all primes upto $q$ is given by -$1 - {1.12 \over ln(q)}$. The graph (\ref{pic:primality}, will be added later) demonstrates the probability of success for the range -$3 \le q \le 100$. - -At approximately $q = 30$ the gain of performing further tests diminishes fairly quickly. At $q = 90$ further testing is generally not going to -be of any practical use. In the case of LibTomMath the default limit $q = 256$ was chosen since it is not too high and will eliminate -approximately $80\%$ of all candidate integers. The constant \textbf{PRIME\_SIZE} is equal to the number of primes in the test base. The -array \_\_prime\_tab is an array of the first \textbf{PRIME\_SIZE} prime numbers. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_prime\_is\_divisible}. \\ -\textbf{Input}. mp\_int $a$ \\ -\textbf{Output}. $c = 1$ if $n$ is divisible by a small prime, otherwise $c = 0$. \\ -\hline \\ -1. for $ix$ from $0$ to $PRIME\_SIZE$ do \\ -\hspace{3mm}1.1 $d \leftarrow n \mbox{ (mod }\_\_prime\_tab_{ix}\mbox{)}$ \\ -\hspace{3mm}1.2 If $d = 0$ then \\ -\hspace{6mm}1.2.1 $c \leftarrow 1$ \\ -\hspace{6mm}1.2.2 Return(\textit{MP\_OKAY}). \\ -2. $c \leftarrow 0$ \\ -3. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_prime\_is\_divisible} -\end{figure} -\textbf{Algorithm mp\_prime\_is\_divisible.} -This algorithm attempts to determine if a candidate integer $n$ is composite by performing trial divisions. - -EXAM,bn_mp_prime_is_divisible.c - -The algorithm defaults to a return of $0$ in case an error occurs. The values in the prime table are all specified to be in the range of a -mp\_digit. The table \_\_prime\_tab is defined in the following file. - -EXAM,bn_prime_tab.c - -Note that there are two possible tables. When an mp\_digit is 7-bits long only the primes upto $127$ may be included, otherwise the primes -upto $1619$ are used. Note that the value of \textbf{PRIME\_SIZE} is a constant dependent on the size of a mp\_digit. - -\subsection{The Fermat Test} -The Fermat test is probably one the oldest tests to have a non-trivial probability of success. It is based on the fact that if $n$ is in -fact prime then $a^{n} \equiv a \mbox{ (mod }n\mbox{)}$ for all $0 < a < n$. The reason being that if $n$ is prime than the order of -the multiplicative sub group is $n - 1$. Any base $a$ must have an order which divides $n - 1$ and as such $a^n$ is equivalent to -$a^1 = a$. - -If $n$ is composite then any given base $a$ does not have to have a period which divides $n - 1$. In which case -it is possible that $a^n \nequiv a \mbox{ (mod }n\mbox{)}$. However, this test is not absolute as it is possible that the order -of a base will divide $n - 1$ which would then be reported as prime. Such a base yields what is known as a Fermat pseudo-prime. Several -integers known as Carmichael numbers will be a pseudo-prime to all valid bases. Fortunately such numbers are extremely rare as $n$ grows -in size. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_prime\_fermat}. \\ -\textbf{Input}. mp\_int $a$ and $b$, $a \ge 2$, $0 < b < a$. \\ -\textbf{Output}. $c = 1$ if $b^a \equiv b \mbox{ (mod }a\mbox{)}$, otherwise $c = 0$. \\ -\hline \\ -1. $t \leftarrow b^a \mbox{ (mod }a\mbox{)}$ \\ -2. If $t = b$ then \\ -\hspace{3mm}2.1 $c = 1$ \\ -3. else \\ -\hspace{3mm}3.1 $c = 0$ \\ -4. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_prime\_fermat} -\end{figure} -\textbf{Algorithm mp\_prime\_fermat.} -This algorithm determines whether an mp\_int $a$ is a Fermat prime to the base $b$ or not. It uses a single modular exponentiation to -determine the result. - -EXAM,bn_mp_prime_fermat.c - -\subsection{The Miller-Rabin Test} -The Miller-Rabin (citation) test is another primality test which has tighter error bounds than the Fermat test specifically with sequentially chosen -candidate integers. The algorithm is based on the observation that if $n - 1 = 2^kr$ and if $b^r \nequiv \pm 1$ then after upto $k - 1$ squarings the -value must be equal to $-1$. The squarings are stopped as soon as $-1$ is observed. If the value of $1$ is observed first it means that -some value not congruent to $\pm 1$ when squared equals one which cannot occur if $n$ is prime. - -\begin{figure}[!here] -\begin{small} -\begin{center} -\begin{tabular}{l} -\hline Algorithm \textbf{mp\_prime\_miller\_rabin}. \\ -\textbf{Input}. mp\_int $a$ and $b$, $a \ge 2$, $0 < b < a$. \\ -\textbf{Output}. $c = 1$ if $a$ is a Miller-Rabin prime to the base $a$, otherwise $c = 0$. \\ -\hline -1. $a' \leftarrow a - 1$ \\ -2. $r \leftarrow n1$ \\ -3. $c \leftarrow 0, s \leftarrow 0$ \\ -4. While $r.used > 0$ and $r_0 \equiv 0 \mbox{ (mod }2\mbox{)}$ \\ -\hspace{3mm}4.1 $s \leftarrow s + 1$ \\ -\hspace{3mm}4.2 $r \leftarrow \lfloor r / 2 \rfloor$ \\ -5. $y \leftarrow b^r \mbox{ (mod }a\mbox{)}$ \\ -6. If $y \nequiv \pm 1$ then \\ -\hspace{3mm}6.1 $j \leftarrow 1$ \\ -\hspace{3mm}6.2 While $j \le (s - 1)$ and $y \nequiv a'$ \\ -\hspace{6mm}6.2.1 $y \leftarrow y^2 \mbox{ (mod }a\mbox{)}$ \\ -\hspace{6mm}6.2.2 If $y = 1$ then goto step 8. \\ -\hspace{6mm}6.2.3 $j \leftarrow j + 1$ \\ -\hspace{3mm}6.3 If $y \nequiv a'$ goto step 8. \\ -7. $c \leftarrow 1$\\ -8. Return(\textit{MP\_OKAY}). \\ -\hline -\end{tabular} -\end{center} -\end{small} -\caption{Algorithm mp\_prime\_miller\_rabin} -\end{figure} -\textbf{Algorithm mp\_prime\_miller\_rabin.} -This algorithm performs one trial round of the Miller-Rabin algorithm to the base $b$. It will set $c = 1$ if the algorithm cannot determine -if $b$ is composite or $c = 0$ if $b$ is provably composite. The values of $s$ and $r$ are computed such that $a' = a - 1 = 2^sr$. - -If the value $y \equiv b^r$ is congruent to $\pm 1$ then the algorithm cannot prove if $a$ is composite or not. Otherwise, the algorithm will -square $y$ upto $s - 1$ times stopping only when $y \equiv -1$. If $y^2 \equiv 1$ and $y \nequiv \pm 1$ then the algorithm can report that $a$ -is provably composite. If the algorithm performs $s - 1$ squarings and $y \nequiv -1$ then $a$ is provably composite. If $a$ is not provably -composite then it is \textit{probably} prime. - -EXAM,bn_mp_prime_miller_rabin.c - - - - -\backmatter -\appendix -\begin{thebibliography}{ABCDEF} -\bibitem[1]{TAOCPV2} -Donald Knuth, \textit{The Art of Computer Programming}, Third Edition, Volume Two, Seminumerical Algorithms, Addison-Wesley, 1998 - -\bibitem[2]{HAC} -A. Menezes, P. van Oorschot, S. Vanstone, \textit{Handbook of Applied Cryptography}, CRC Press, 1996 - -\bibitem[3]{ROSE} -Michael Rosing, \textit{Implementing Elliptic Curve Cryptography}, Manning Publications, 1999 - -\bibitem[4]{COMBA} -Paul G. Comba, \textit{Exponentiation Cryptosystems on the IBM PC}. IBM Systems Journal 29(4): 526-538 (1990) - -\bibitem[5]{KARA} -A. Karatsuba, Doklay Akad. Nauk SSSR 145 (1962), pp.293-294 - -\bibitem[6]{KARAP} -Andre Weimerskirch and Christof Paar, \textit{Generalizations of the Karatsuba Algorithm for Polynomial Multiplication}, Submitted to Design, Codes and Cryptography, March 2002 - -\bibitem[7]{BARRETT} -Paul Barrett, \textit{Implementing the Rivest Shamir and Adleman Public Key Encryption Algorithm on a Standard Digital Signal Processor}, Advances in Cryptology, Crypto '86, Springer-Verlag. - -\bibitem[8]{MONT} -P.L.Montgomery. \textit{Modular multiplication without trial division}. Mathematics of Computation, 44(170):519-521, April 1985. - -\bibitem[9]{DRMET} -Chae Hoon Lim and Pil Joong Lee, \textit{Generating Efficient Primes for Discrete Log Cryptosystems}, POSTECH Information Research Laboratories - -\bibitem[10]{MMB} -J. Daemen and R. Govaerts and J. Vandewalle, \textit{Block ciphers based on Modular Arithmetic}, State and {P}rogress in the {R}esearch of {C}ryptography, 1993, pp. 80-89 - -\bibitem[11]{RSAREF} -R.L. Rivest, A. Shamir, L. Adleman, \textit{A Method for Obtaining Digital Signatures and Public-Key Cryptosystems} - -\bibitem[12]{DHREF} -Whitfield Diffie, Martin E. Hellman, \textit{New Directions in Cryptography}, IEEE Transactions on Information Theory, 1976 - -\bibitem[13]{IEEE} -IEEE Standard for Binary Floating-Point Arithmetic (ANSI/IEEE Std 754-1985) - -\bibitem[14]{GMP} -GNU Multiple Precision (GMP), \url{http://www.swox.com/gmp/} - -\bibitem[15]{MPI} -Multiple Precision Integer Library (MPI), Michael Fromberger, \url{http://thayer.dartmouth.edu/~sting/mpi/} - -\bibitem[16]{OPENSSL} -OpenSSL Cryptographic Toolkit, \url{http://openssl.org} - -\bibitem[17]{LIP} -Large Integer Package, \url{http://home.hetnet.nl/~ecstr/LIP.zip} - -\bibitem[18]{ISOC} -JTC1/SC22/WG14, ISO/IEC 9899:1999, ``A draft rationale for the C99 standard.'' - -\bibitem[19]{JAVA} -The Sun Java Website, \url{http://java.sun.com/} - -\end{thebibliography} - -\input{tommath.ind} - -\end{document} diff --git a/unix/tclUnixNotfy.c b/unix/tclUnixNotfy.c index 1457890..a8dbebe 100644 --- a/unix/tclUnixNotfy.c +++ b/unix/tclUnixNotfy.c @@ -152,8 +152,8 @@ static int triggerPipe = -1; * The notifierMutex locks access to all of the global notifier state. */ -pthread_mutex_t notifierInitMutex = PTHREAD_MUTEX_INITIALIZER; -pthread_mutex_t notifierMutex = PTHREAD_MUTEX_INITIALIZER; +static pthread_mutex_t notifierInitMutex = PTHREAD_MUTEX_INITIALIZER; +static pthread_mutex_t notifierMutex = PTHREAD_MUTEX_INITIALIZER; /* * The following static indicates if the notifier thread is running. * -- cgit v0.12 From 0f3bab8aece13cfd66cca4d2e16489faaf69457b Mon Sep 17 00:00:00 2001 From: dkf Date: Fri, 18 Nov 2016 15:51:27 +0000 Subject: Minor: fix the indentation of comments. --- generic/tclIOSock.c | 50 ++++++++++++++++++++++++++------------------------ 1 file changed, 26 insertions(+), 24 deletions(-) diff --git a/generic/tclIOSock.c b/generic/tclIOSock.c index f61073b..7ed751c 100644 --- a/generic/tclIOSock.c +++ b/generic/tclIOSock.c @@ -56,8 +56,8 @@ static const char *gai_strerror(int code) { int TclSockGetPort( Tcl_Interp *interp, - const char *string, /* Integer or service name */ - const char *proto, /* "tcp" or "udp", typically */ + const char *string, /* Integer or service name */ + const char *proto, /* "tcp" or "udp", typically */ int *portPtr) /* Return port number */ { struct servent *sp; /* Protocol info for named services */ @@ -154,15 +154,15 @@ TclSockMinimumBuffers( int TclCreateSocketAddress( - Tcl_Interp *interp, /* Interpreter for querying - * the desired socket family */ - struct addrinfo **addrlist, /* Socket address list */ - const char *host, /* Host. NULL implies INADDR_ANY */ - int port, /* Port number */ - int willBind, /* Is this an address to bind() to or - * to connect() to? */ - const char **errorMsgPtr) /* Place to store the error message - * detail, if available. */ + Tcl_Interp *interp, /* Interpreter for querying the desired socket + * family */ + struct addrinfo **addrlist, /* Socket address list */ + const char *host, /* Host. NULL implies INADDR_ANY */ + int port, /* Port number */ + int willBind, /* Is this an address to bind() to or to + * connect() to? */ + const char **errorMsgPtr) /* Place to store the error message detail, if + * available. */ { struct addrinfo hints; struct addrinfo *p; @@ -181,30 +181,31 @@ TclCreateSocketAddress( * Workaround for OSX's apparent inability to resolve "localhost", "0" * when the loopback device is the only available network interface. */ + if (host != NULL && port == 0) { - portstring = NULL; + portstring = NULL; } else { - TclFormatInt(portbuf, port); - portstring = portbuf; + TclFormatInt(portbuf, port); + portstring = portbuf; } (void) memset(&hints, 0, sizeof(hints)); hints.ai_family = AF_UNSPEC; /* - * Magic variable to enforce a certain address family - to be superseded - * by a TIP that adds explicit switches to [socket] + * Magic variable to enforce a certain address family; to be superseded + * by a TIP that adds explicit switches to [socket]. */ if (interp != NULL) { - family = Tcl_GetVar2(interp, "::tcl::unsupported::socketAF", NULL, 0); - if (family != NULL) { - if (strcmp(family, "inet") == 0) { - hints.ai_family = AF_INET; - } else if (strcmp(family, "inet6") == 0) { - hints.ai_family = AF_INET6; - } - } + family = Tcl_GetVar2(interp, "::tcl::unsupported::socketAF", NULL, 0); + if (family != NULL) { + if (strcmp(family, "inet") == 0) { + hints.ai_family = AF_INET; + } else if (strcmp(family, "inet6") == 0) { + hints.ai_family = AF_INET6; + } + } } hints.ai_socktype = SOCK_STREAM; @@ -251,6 +252,7 @@ TclCreateSocketAddress( * * There might be more elegant/efficient ways to do this. */ + if (willBind) { for (p = *addrlist; p != NULL; p = p->ai_next) { if (p->ai_family == AF_INET) { -- cgit v0.12 From a3271d4360790d34a08896e46f0a6a37aa344568 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 21 Nov 2016 10:15:24 +0000 Subject: More internal use of size_t in stead of int. --- generic/tclBasic.c | 6 ++---- generic/tclCompile.c | 2 +- generic/tclDisassemble.c | 4 ++-- generic/tclIOGT.c | 4 ++-- generic/tclNamesp.c | 10 ++++------ generic/tclObj.c | 6 +++--- generic/tclPreserve.c | 8 ++++---- generic/tclTrace.c | 2 +- 8 files changed, 19 insertions(+), 23 deletions(-) diff --git a/generic/tclBasic.c b/generic/tclBasic.c index 39f2dd4..8eebab1 100644 --- a/generic/tclBasic.c +++ b/generic/tclBasic.c @@ -3400,8 +3400,7 @@ TclCleanupCommand( register Command *cmdPtr) /* Points to the Command structure to * be freed. */ { - cmdPtr->refCount--; - if (cmdPtr->refCount <= 0) { + if (cmdPtr->refCount-- <= 1) { ckfree(cmdPtr); } } @@ -5578,8 +5577,7 @@ TclArgumentRelease( } cfwPtr = Tcl_GetHashValue(hPtr); - cfwPtr->refCount--; - if (cfwPtr->refCount > 0) { + if (cfwPtr->refCount-- > 1) { continue; } diff --git a/generic/tclCompile.c b/generic/tclCompile.c index c02a940..c0724ee 100644 --- a/generic/tclCompile.c +++ b/generic/tclCompile.c @@ -1002,7 +1002,7 @@ void TclReleaseByteCode( register ByteCode *codePtr) { - if (--codePtr->refCount) { + if (codePtr->refCount-- > 1) { return; } diff --git a/generic/tclDisassemble.c b/generic/tclDisassemble.c index 0d6da8e..88ff094 100644 --- a/generic/tclDisassemble.c +++ b/generic/tclDisassemble.c @@ -272,8 +272,8 @@ DisassembleByteCodeObj( sprintf(ptrBuf1, "%p", codePtr); sprintf(ptrBuf2, "%p", iPtr); Tcl_AppendPrintfToObj(bufferObj, - "ByteCode 0x%s, refCt %u, epoch %u, interp 0x%s (epoch %u)\n", - ptrBuf1, codePtr->refCount, codePtr->compileEpoch, ptrBuf2, + "ByteCode 0x%s, refCt %" TCL_LL_MODIFIER "u, epoch %u, interp 0x%s (epoch %u)\n", + ptrBuf1, (Tcl_WideInt)codePtr->refCount, codePtr->compileEpoch, ptrBuf2, iPtr->compileEpoch); Tcl_AppendToObj(bufferObj, " Source ", -1); PrintSourceToObj(bufferObj, codePtr->source, diff --git a/generic/tclIOGT.c b/generic/tclIOGT.c index 7f61def..c1e8c44 100644 --- a/generic/tclIOGT.c +++ b/generic/tclIOGT.c @@ -211,7 +211,7 @@ struct TransformChannelData { * a transformation of incoming data. Also * serves as buffer of all data not yet * consumed by the reader. */ - int refCount; + size_t refCount; }; static void @@ -225,7 +225,7 @@ static void ReleaseData( TransformChannelData *dataPtr) { - if (--dataPtr->refCount) { + if (dataPtr->refCount-- > 1) { return; } ResultClear(&dataPtr->result); diff --git a/generic/tclNamesp.c b/generic/tclNamesp.c index 7f6ecf5..1e360d1 100644 --- a/generic/tclNamesp.c +++ b/generic/tclNamesp.c @@ -32,7 +32,7 @@ */ typedef struct ThreadSpecificData { - long numNsCreated; /* Count of the number of namespaces created + size_t numNsCreated; /* Count of the number of namespaces created * within the thread. This value is used as a * unique id for each namespace. Cannot be * per-interp because the nsId is used to @@ -59,7 +59,7 @@ typedef struct ResolvedNsName { * the name was resolved. NULL if the name is * fully qualified and thus the resolution * does not depend on the context. */ - int refCount; /* Reference count: 1 for each nsName object + size_t refCount; /* Reference count: 1 for each nsName object * that has a pointer to this ResolvedNsName * structure as its internal rep. This * structure can be freed when refCount @@ -1326,8 +1326,7 @@ void TclNsDecrRefCount( Namespace *nsPtr) { - nsPtr->refCount--; - if ((nsPtr->refCount == 0) && (nsPtr->flags & NS_DEAD)) { + if ((nsPtr->refCount-- <= 1) && (nsPtr->flags & NS_DEAD)) { NamespaceFree(nsPtr); } } @@ -4671,8 +4670,7 @@ FreeNsNameInternalRep( * references, free it up. */ - resNamePtr->refCount--; - if (resNamePtr->refCount == 0) { + if (resNamePtr->refCount-- <= 1) { /* * Decrement the reference count for the cached namespace. If the * namespace is dead, and there are no more references to it, free diff --git a/generic/tclObj.c b/generic/tclObj.c index 6c850af..416e5ed 100644 --- a/generic/tclObj.c +++ b/generic/tclObj.c @@ -361,7 +361,7 @@ typedef struct ResolvedCmdName { * incremented; if so, the cmd was renamed, * deleted, hidden, or exposed, and so the * pointer is invalid. */ - int refCount; /* Reference count: 1 for each cmdName object + size_t refCount; /* Reference count: 1 for each cmdName object * that has a pointer to this ResolvedCmdName * structure as its internal rep. This * structure can be freed when refCount @@ -4307,7 +4307,7 @@ FreeCmdNameInternalRep( * there are no more uses, free the ResolvedCmdName structure. */ - if (resPtr->refCount-- == 1) { + if (resPtr->refCount-- <= 1) { /* * Now free the cached command, unless it is still in its hash * table or if there are other references to it from other cmdName @@ -4419,7 +4419,7 @@ SetCmdNameFromAny( Command *oldCmdPtr = resPtr->cmdPtr; - if (--oldCmdPtr->refCount == 0) { + if (oldCmdPtr->refCount-- <= 1) { TclCleanupCommandMacro(oldCmdPtr); } } else { diff --git a/generic/tclPreserve.c b/generic/tclPreserve.c index cca13e8..2d0e15c 100644 --- a/generic/tclPreserve.c +++ b/generic/tclPreserve.c @@ -22,7 +22,7 @@ typedef struct { ClientData clientData; /* Address of preserved block. */ - int refCount; /* Number of Tcl_Preserve calls in effect for + size_t refCount; /* Number of Tcl_Preserve calls in effect for * block. */ int mustFree; /* Non-zero means Tcl_EventuallyFree was * called while a Tcl_Preserve call was in @@ -63,7 +63,7 @@ typedef struct HandleStruct { * ensure that the contents of the handle are * not changed by anyone else. */ #endif - int refCount; /* Number of TclHandlePreserve() calls in + size_t refCount; /* Number of TclHandlePreserve() calls in * effect on this handle. */ } HandleStruct; @@ -195,7 +195,7 @@ Tcl_Release( continue; } - if (--refPtr->refCount != 0) { + if (refPtr->refCount-- > 1) { Tcl_MutexUnlock(&preserveMutex); return; } @@ -459,7 +459,7 @@ TclHandleRelease( handlePtr, handlePtr->ptr2, handlePtr->ptr); } #endif - if ((--handlePtr->refCount == 0) && (handlePtr->ptr == NULL)) { + if ((handlePtr->refCount-- <= 1) && (handlePtr->ptr == NULL)) { ckfree(handlePtr); } } diff --git a/generic/tclTrace.c b/generic/tclTrace.c index 0c73cba..bea3162 100644 --- a/generic/tclTrace.c +++ b/generic/tclTrace.c @@ -52,7 +52,7 @@ typedef struct { * invoked step trace */ int curFlags; /* Trace flags for the current command */ int curCode; /* Return code for the current command */ - int refCount; /* Used to ensure this structure is not + size_t refCount; /* Used to ensure this structure is not * deleted too early. Keeps track of how many * pieces of code have a pointer to this * structure. */ -- cgit v0.12 From ed80f025f6f87f144ee7b63931890efb4421ee78 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 22 Nov 2016 10:06:18 +0000 Subject: This is patch.002 from ticket [0b9d3ba2ba3e1e3fc33c97d5a9fa7ef85d11a696|0b9d3ba2ba], as first start of tip-456 implementation --- generic/tclIOCmd.c | 15 ++++++++++++--- unix/tclUnixSock.c | 20 ++++++++++++++++++++ win/tclWinSock.c | 4 ++-- 3 files changed, 34 insertions(+), 5 deletions(-) diff --git a/generic/tclIOCmd.c b/generic/tclIOCmd.c index de65da5..9dc8f07 100644 --- a/generic/tclIOCmd.c +++ b/generic/tclIOCmd.c @@ -1485,12 +1485,12 @@ Tcl_SocketObjCmd( Tcl_Obj *const objv[]) /* Argument objects. */ { static const char *const socketOptions[] = { - "-async", "-myaddr", "-myport", "-server", NULL + "-async", "-myaddr", "-myport", "-server", "-reuseport", NULL }; enum socketOptions { - SKT_ASYNC, SKT_MYADDR, SKT_MYPORT, SKT_SERVER + SKT_ASYNC, SKT_MYADDR, SKT_MYPORT, SKT_SERVER, SKT_REUSEPORT }; - int optionIndex, a, server = 0, port, myport = 0, async = 0; + int optionIndex, a, server = 0, port, myport = 0, async = 0, reuseport = 0; const char *host, *myaddr = NULL; Tcl_Obj *script = NULL; Tcl_Channel chan; @@ -1557,6 +1557,9 @@ Tcl_SocketObjCmd( } script = objv[a]; break; + case SKT_REUSEPORT: + reuseport = 1; + break; default: Tcl_Panic("Tcl_SocketObjCmd: bad option index to SocketOptions"); } @@ -1600,6 +1603,12 @@ Tcl_SocketObjCmd( Tcl_IncrRefCount(script); acceptCallbackPtr->script = script; acceptCallbackPtr->interp = interp; + + /* Hint for Tcl_OpenTcpServer to set socket option REUSEPORT */ + if(reuseport) { + port |= (1 << 16); + } + chan = Tcl_OpenTcpServer(interp, port, host, AcceptCallbackProc, acceptCallbackPtr); if (chan == NULL) { diff --git a/unix/tclUnixSock.c b/unix/tclUnixSock.c index 170aea9..d8a33f9 100644 --- a/unix/tclUnixSock.c +++ b/unix/tclUnixSock.c @@ -113,6 +113,11 @@ struct TcpState { #define SOCKET_BUFSIZE 4096 +#ifdef SO_REUSEPORT +/* Bitmask to check if the setting of SO_REUSEPORT was requested by the caller. */ +#define USE_SOCK_REUSEPORT (1 << 16) +#endif + /* * Static routines for this file: */ @@ -1435,6 +1440,10 @@ Tcl_OpenTcpServer( char channelName[SOCK_CHAN_LENGTH]; const char *errorMsg = NULL; TcpFdList *fds = NULL, *newfds; +#ifdef SO_REUSEPORT + int reuseport = port & USE_SOCK_REUSEPORT; + CLEAR_BITS(port, USE_SOCK_REUSEPORT); +#endif /* * Try to record and return the most meaningful error message, i.e. the @@ -1512,6 +1521,17 @@ Tcl_OpenTcpServer( (void) setsockopt(sock, SOL_SOCKET, SO_REUSEADDR, (char *) &reuseaddr, sizeof(reuseaddr)); +#ifdef SO_REUSEPORT + /* + * Set up to allows multiple sockets on the same host to bind to the same port. + * The flag can be switched on by setting the lowest bit above the valid maximum port (0xffff). + */ + if(reuseport) { + (void) setsockopt(sock, SOL_SOCKET, SO_REUSEPORT, + (char *) &reuseport, sizeof(reuseport)); + } +#endif + /* * Make sure we use the same port number when opening two server * sockets for IPv4 and IPv6 on a random port. diff --git a/win/tclWinSock.c b/win/tclWinSock.c index ec881d2..af8dda1 100644 --- a/win/tclWinSock.c +++ b/win/tclWinSock.c @@ -2111,8 +2111,8 @@ Tcl_OpenTcpServer( /* * Bind to the specified port. Note that we must not call - * setsockopt with SO_REUSEADDR because Microsoft allows addresses - * to be reused even if they are still in use. + * setsockopt with SO_REUSEADDR or SO_REUSEPORT because Microsoft + * allows addresses and ports to be reused even if they are still in use. * * Bind should not be affected by the socket having already been * set into nonblocking mode. If there is trouble, this is one -- cgit v0.12 From 490b4bf1f8778fddb9814d30cdf2c4bd89d9581d Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 22 Nov 2016 11:21:00 +0000 Subject: Added stub entry for tip #456. Documentation and tests still missing. Doesn't conform to TIP yet. --- generic/tcl.decls | 11 +++++++++++ generic/tclDecls.h | 8 ++++++++ generic/tclIOCmd.c | 15 +++++---------- generic/tclIOSock.c | 24 ++++++++++++++++++++++++ generic/tclStubInit.c | 1 + unix/tclUnixSock.c | 14 ++++++-------- win/tclWinSock.c | 5 +++-- 7 files changed, 58 insertions(+), 20 deletions(-) diff --git a/generic/tcl.decls b/generic/tcl.decls index 574b49b..20c3f3e 100644 --- a/generic/tcl.decls +++ b/generic/tcl.decls @@ -2326,6 +2326,17 @@ declare 630 { # ----- BASELINE -- FOR -- 8.6.0 ----- # +# TIP #456 +declare 631 { + Tcl_Channel Tcl_OpenTcpServerEx(Tcl_Interp *interp, int port, + const char *host, int flags, Tcl_TcpAcceptProc *acceptProc, + ClientData callbackData) +} + +# ----- BASELINE -- FOR -- 8.7.0 ----- # + + + ############################################################################## # Define the platform specific public Tcl interface. These functions are only diff --git a/generic/tclDecls.h b/generic/tclDecls.h index b022d3c..d1c1170 100644 --- a/generic/tclDecls.h +++ b/generic/tclDecls.h @@ -1816,6 +1816,11 @@ EXTERN int Tcl_FSUnloadFile(Tcl_Interp *interp, EXTERN void Tcl_ZlibStreamSetCompressionDictionary( Tcl_ZlibStream zhandle, Tcl_Obj *compressionDictionaryObj); +/* 631 */ +EXTERN Tcl_Channel Tcl_OpenTcpServerEx(Tcl_Interp *interp, int port, + const char *host, int flags, + Tcl_TcpAcceptProc *acceptProc, + ClientData callbackData); typedef struct { const struct TclPlatStubs *tclPlatStubs; @@ -2482,6 +2487,7 @@ typedef struct TclStubs { void * (*tcl_FindSymbol) (Tcl_Interp *interp, Tcl_LoadHandle handle, const char *symbol); /* 628 */ int (*tcl_FSUnloadFile) (Tcl_Interp *interp, Tcl_LoadHandle handlePtr); /* 629 */ void (*tcl_ZlibStreamSetCompressionDictionary) (Tcl_ZlibStream zhandle, Tcl_Obj *compressionDictionaryObj); /* 630 */ + Tcl_Channel (*tcl_OpenTcpServerEx) (Tcl_Interp *interp, int port, const char *host, int flags, Tcl_TcpAcceptProc *acceptProc, ClientData callbackData); /* 631 */ } TclStubs; extern const TclStubs *tclStubsPtr; @@ -3774,6 +3780,8 @@ extern const TclStubs *tclStubsPtr; (tclStubsPtr->tcl_FSUnloadFile) /* 629 */ #define Tcl_ZlibStreamSetCompressionDictionary \ (tclStubsPtr->tcl_ZlibStreamSetCompressionDictionary) /* 630 */ +#define Tcl_OpenTcpServerEx \ + (tclStubsPtr->tcl_OpenTcpServerEx) /* 631 */ #endif /* defined(USE_TCL_STUBS) */ diff --git a/generic/tclIOCmd.c b/generic/tclIOCmd.c index 9dc8f07..883c6b7 100644 --- a/generic/tclIOCmd.c +++ b/generic/tclIOCmd.c @@ -1490,7 +1490,7 @@ Tcl_SocketObjCmd( enum socketOptions { SKT_ASYNC, SKT_MYADDR, SKT_MYPORT, SKT_SERVER, SKT_REUSEPORT }; - int optionIndex, a, server = 0, port, myport = 0, async = 0, reuseport = 0; + int optionIndex, a, server = 0, port, myport = 0, async = 0, flags = 0; const char *host, *myaddr = NULL; Tcl_Obj *script = NULL; Tcl_Channel chan; @@ -1557,9 +1557,9 @@ Tcl_SocketObjCmd( } script = objv[a]; break; - case SKT_REUSEPORT: - reuseport = 1; - break; + case SKT_REUSEPORT: + flags |= 1; + break; default: Tcl_Panic("Tcl_SocketObjCmd: bad option index to SocketOptions"); } @@ -1604,12 +1604,7 @@ Tcl_SocketObjCmd( acceptCallbackPtr->script = script; acceptCallbackPtr->interp = interp; - /* Hint for Tcl_OpenTcpServer to set socket option REUSEPORT */ - if(reuseport) { - port |= (1 << 16); - } - - chan = Tcl_OpenTcpServer(interp, port, host, AcceptCallbackProc, + chan = Tcl_OpenTcpServerEx(interp, port, host, flags, AcceptCallbackProc, acceptCallbackPtr); if (chan == NULL) { Tcl_DecrRefCount(script); diff --git a/generic/tclIOSock.c b/generic/tclIOSock.c index 7ed751c..72a0b5a 100644 --- a/generic/tclIOSock.c +++ b/generic/tclIOSock.c @@ -283,6 +283,30 @@ TclCreateSocketAddress( } return 1; } + +/* + *---------------------------------------------------------------------- + * + * Tcl_OpenTcpServer -- + * + * Opens a TCP server socket and creates a channel around it. + * + * Results: + * The channel or NULL if failed. If an error occurred, an error message + * is left in the interp's result if interp is not NULL. + * + * Side effects: + * Opens a server socket and creates a new channel. + * + *---------------------------------------------------------------------- + */ +Tcl_Channel Tcl_OpenTcpServer(Tcl_Interp *interp, int port, + const char *host, Tcl_TcpAcceptProc *acceptProc, + ClientData callbackData) +{ + return Tcl_OpenTcpServerEx(interp, port, host, 0, acceptProc, callbackData); +} + /* * Local Variables: diff --git a/generic/tclStubInit.c b/generic/tclStubInit.c index 2f1bb8b..23da6dc 100644 --- a/generic/tclStubInit.c +++ b/generic/tclStubInit.c @@ -1416,6 +1416,7 @@ const TclStubs tclStubs = { Tcl_FindSymbol, /* 628 */ Tcl_FSUnloadFile, /* 629 */ Tcl_ZlibStreamSetCompressionDictionary, /* 630 */ + Tcl_OpenTcpServerEx, /* 631 */ }; /* !END!: Do not edit above this line. */ diff --git a/unix/tclUnixSock.c b/unix/tclUnixSock.c index d8a33f9..6286b2f 100644 --- a/unix/tclUnixSock.c +++ b/unix/tclUnixSock.c @@ -115,7 +115,7 @@ struct TcpState { #ifdef SO_REUSEPORT /* Bitmask to check if the setting of SO_REUSEPORT was requested by the caller. */ -#define USE_SOCK_REUSEPORT (1 << 16) +#define USE_SOCK_REUSEPORT 1 #endif /* @@ -1410,7 +1410,7 @@ TclpMakeTcpClientChannelMode( /* *---------------------------------------------------------------------- * - * Tcl_OpenTcpServer -- + * Tcl_OpenTcpServerEx -- * * Opens a TCP server socket and creates a channel around it. * @@ -1425,10 +1425,11 @@ TclpMakeTcpClientChannelMode( */ Tcl_Channel -Tcl_OpenTcpServer( +Tcl_OpenTcpServerEx( Tcl_Interp *interp, /* For error reporting - may be NULL. */ int port, /* Port number to open. */ const char *myHost, /* Name of local host. */ + int flags, /* Flags. */ Tcl_TcpAcceptProc *acceptProc, /* Callback for accepting connections from new * clients. */ @@ -1440,10 +1441,6 @@ Tcl_OpenTcpServer( char channelName[SOCK_CHAN_LENGTH]; const char *errorMsg = NULL; TcpFdList *fds = NULL, *newfds; -#ifdef SO_REUSEPORT - int reuseport = port & USE_SOCK_REUSEPORT; - CLEAR_BITS(port, USE_SOCK_REUSEPORT); -#endif /* * Try to record and return the most meaningful error message, i.e. the @@ -1526,7 +1523,8 @@ Tcl_OpenTcpServer( * Set up to allows multiple sockets on the same host to bind to the same port. * The flag can be switched on by setting the lowest bit above the valid maximum port (0xffff). */ - if(reuseport) { + if (flags & USE_SOCK_REUSEPORT) { + int reuseport = 1; (void) setsockopt(sock, SOL_SOCKET, SO_REUSEPORT, (char *) &reuseport, sizeof(reuseport)); } diff --git a/win/tclWinSock.c b/win/tclWinSock.c index af8dda1..a389d45 100644 --- a/win/tclWinSock.c +++ b/win/tclWinSock.c @@ -2020,7 +2020,7 @@ Tcl_MakeTcpClientChannel( /* *---------------------------------------------------------------------- * - * Tcl_OpenTcpServer -- + * Tcl_OpenTcpServerEx -- * * Opens a TCP server socket and creates a channel around it. * @@ -2035,10 +2035,11 @@ Tcl_MakeTcpClientChannel( */ Tcl_Channel -Tcl_OpenTcpServer( +Tcl_OpenTcpServerEx( Tcl_Interp *interp, /* For error reporting - may be NULL. */ int port, /* Port number to open. */ const char *myHost, /* Name of local host. */ + int flags, /* Flags (not used) */ Tcl_TcpAcceptProc *acceptProc, /* Callback for accepting connections from new * clients. */ -- cgit v0.12 From 33ded984ff02df26e0faf1d254abd2ea6acc0070 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 22 Nov 2016 11:24:48 +0000 Subject: Fix indenting --- unix/tclUnixSock.c | 16 ++++++++-------- 1 file changed, 8 insertions(+), 8 deletions(-) diff --git a/unix/tclUnixSock.c b/unix/tclUnixSock.c index 6286b2f..4767522 100644 --- a/unix/tclUnixSock.c +++ b/unix/tclUnixSock.c @@ -1519,15 +1519,15 @@ Tcl_OpenTcpServerEx( (char *) &reuseaddr, sizeof(reuseaddr)); #ifdef SO_REUSEPORT - /* - * Set up to allows multiple sockets on the same host to bind to the same port. - * The flag can be switched on by setting the lowest bit above the valid maximum port (0xffff). - */ - if (flags & USE_SOCK_REUSEPORT) { + /* + * Set up to allows multiple sockets on the same host to bind to the same port. + * The flag can be switched on by setting the lowest bit above the valid maximum port (0xffff). + */ + if (flags & USE_SOCK_REUSEPORT) { int reuseport = 1; - (void) setsockopt(sock, SOL_SOCKET, SO_REUSEPORT, - (char *) &reuseport, sizeof(reuseport)); - } + (void) setsockopt(sock, SOL_SOCKET, SO_REUSEPORT, + (char *) &reuseport, sizeof(reuseport)); + } #endif /* -- cgit v0.12 From d510c90352989ab2f1332ce903526b9052def6de Mon Sep 17 00:00:00 2001 From: dkf Date: Tue, 22 Nov 2016 15:04:28 +0000 Subject: Corrections to misleading comments. --- generic/tcl.h | 11 ++++++----- 1 file changed, 6 insertions(+), 5 deletions(-) diff --git a/generic/tcl.h b/generic/tcl.h index eb53c70..7984005 100644 --- a/generic/tcl.h +++ b/generic/tcl.h @@ -831,19 +831,20 @@ typedef struct Tcl_Obj { union { /* The internal representation: */ long longValue; /* - an long integer value. */ double doubleValue; /* - a double-precision floating value. */ - void *otherValuePtr; /* - another, type-specific value, - not used internally any more. */ + void *otherValuePtr; /* - another, type-specific value, not used + * internally any more. */ Tcl_WideInt wideValue; /* - a long long value. */ struct { /* - internal rep as two pointers. - * the main use of which is a bignum's + * Many uses in Tcl, including a bignum's * tightly packed fields, where the alloc, * used and signum flags are packed into - * ptr2 with everything else hung off ptr1. */ + * ptr2 with everything else hung off + * ptr1. */ void *ptr1; void *ptr2; } twoPtrValue; struct { /* - internal rep as a pointer and a long, - not used internally any more. */ + * not used internally any more. */ void *ptr; unsigned long value; } ptrAndLongRep; -- cgit v0.12 From a69b96ecbb110463c843208820c24b4f1eb04f2e Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 24 Nov 2016 10:26:28 +0000 Subject: typos --- generic/tclCmdMZ.c | 2 +- generic/tclLoad.c | 2 +- generic/tclPipe.c | 2 +- 3 files changed, 3 insertions(+), 3 deletions(-) diff --git a/generic/tclCmdMZ.c b/generic/tclCmdMZ.c index e9a6933..023c671 100644 --- a/generic/tclCmdMZ.c +++ b/generic/tclCmdMZ.c @@ -323,7 +323,7 @@ Tcl_RegexpObjCmd( if (match == 0) { /* - * We want to set the value of the intepreter result only when + * We want to set the value of the interpreter result only when * this is the first time through the loop. */ diff --git a/generic/tclLoad.c b/generic/tclLoad.c index 7c70e03..be296b3 100644 --- a/generic/tclLoad.c +++ b/generic/tclLoad.c @@ -1015,7 +1015,7 @@ Tcl_StaticPackage( * TclGetLoadedPackages -- * * This function returns information about all of the files that are - * loaded (either in a particular intepreter, or for all interpreters). + * loaded (either in a particular interpreter, or for all interpreters). * * Results: * The return value is a standard Tcl completion code. If successful, a diff --git a/generic/tclPipe.c b/generic/tclPipe.c index 83fb818..d6cd188 100644 --- a/generic/tclPipe.c +++ b/generic/tclPipe.c @@ -60,7 +60,7 @@ static TclFile FileForRedirect(Tcl_Interp *interp, const char *spec, static TclFile FileForRedirect( - Tcl_Interp *interp, /* Intepreter to use for error reporting. */ + Tcl_Interp *interp, /* Interpreter to use for error reporting. */ const char *spec, /* Points to character just after redirection * character. */ int atOK, /* Non-zero means that '@' notation can be -- cgit v0.12 From 5b33616e5080b53d8b1e8b8608a98d824a952ee9 Mon Sep 17 00:00:00 2001 From: limeboy Date: Thu, 24 Nov 2016 12:47:21 +0000 Subject: Implement the whole TIP 456 specification. Also introduces the `-reuseaddr' and `-reuseport' options for the `socket' command. --- generic/tcl.decls | 2 +- generic/tcl.h | 7 +++++++ generic/tclDecls.h | 4 ++-- generic/tclIOCmd.c | 23 ++++++++++++++++++----- generic/tclIOSock.c | 6 +++--- unix/tclUnixSock.c | 41 ++++++++++++++++++++--------------------- win/tclWinSock.c | 2 +- 7 files changed, 52 insertions(+), 33 deletions(-) diff --git a/generic/tcl.decls b/generic/tcl.decls index 20c3f3e..af496b3 100644 --- a/generic/tcl.decls +++ b/generic/tcl.decls @@ -2329,7 +2329,7 @@ declare 630 { # TIP #456 declare 631 { Tcl_Channel Tcl_OpenTcpServerEx(Tcl_Interp *interp, int port, - const char *host, int flags, Tcl_TcpAcceptProc *acceptProc, + const char *host, unsigned int flags, Tcl_TcpAcceptProc *acceptProc, ClientData callbackData) } diff --git a/generic/tcl.h b/generic/tcl.h index eb53c70..75a947a 100644 --- a/generic/tcl.h +++ b/generic/tcl.h @@ -2371,6 +2371,13 @@ typedef int (Tcl_ArgvGenFuncProc)(ClientData clientData, Tcl_Interp *interp, /* *---------------------------------------------------------------------------- + * Definitions needed for the Tcl_OpenTcpServerEx function. [TIP #456] + */ +#define TCL_TCPSERVER_REUSEADDR (1<<0) +#define TCL_TCPSERVER_REUSEPORT (1<<1) + +/* + *---------------------------------------------------------------------------- * Single public declaration for NRE. */ diff --git a/generic/tclDecls.h b/generic/tclDecls.h index d1c1170..4810c51 100644 --- a/generic/tclDecls.h +++ b/generic/tclDecls.h @@ -1818,7 +1818,7 @@ EXTERN void Tcl_ZlibStreamSetCompressionDictionary( Tcl_Obj *compressionDictionaryObj); /* 631 */ EXTERN Tcl_Channel Tcl_OpenTcpServerEx(Tcl_Interp *interp, int port, - const char *host, int flags, + const char *host, unsigned int flags, Tcl_TcpAcceptProc *acceptProc, ClientData callbackData); @@ -2487,7 +2487,7 @@ typedef struct TclStubs { void * (*tcl_FindSymbol) (Tcl_Interp *interp, Tcl_LoadHandle handle, const char *symbol); /* 628 */ int (*tcl_FSUnloadFile) (Tcl_Interp *interp, Tcl_LoadHandle handlePtr); /* 629 */ void (*tcl_ZlibStreamSetCompressionDictionary) (Tcl_ZlibStream zhandle, Tcl_Obj *compressionDictionaryObj); /* 630 */ - Tcl_Channel (*tcl_OpenTcpServerEx) (Tcl_Interp *interp, int port, const char *host, int flags, Tcl_TcpAcceptProc *acceptProc, ClientData callbackData); /* 631 */ + Tcl_Channel (*tcl_OpenTcpServerEx) (Tcl_Interp *interp, int port, const char *host, unsigned int flags, Tcl_TcpAcceptProc *acceptProc, ClientData callbackData); /* 631 */ } TclStubs; extern const TclStubs *tclStubsPtr; diff --git a/generic/tclIOCmd.c b/generic/tclIOCmd.c index 883c6b7..b4696fd 100644 --- a/generic/tclIOCmd.c +++ b/generic/tclIOCmd.c @@ -1485,12 +1485,15 @@ Tcl_SocketObjCmd( Tcl_Obj *const objv[]) /* Argument objects. */ { static const char *const socketOptions[] = { - "-async", "-myaddr", "-myport", "-server", "-reuseport", NULL + "-async", "-myaddr", "-myport", "-server", "-reuseaddr", "-reuseport", + NULL }; enum socketOptions { - SKT_ASYNC, SKT_MYADDR, SKT_MYPORT, SKT_SERVER, SKT_REUSEPORT + SKT_ASYNC, SKT_MYADDR, SKT_MYPORT, SKT_SERVER, SKT_REUSEADDR, + SKT_REUSEPORT }; - int optionIndex, a, server = 0, port, myport = 0, async = 0, flags = 0; + int optionIndex, a, server = 0, port, myport = 0, async = 0; + unsigned int flags = 0; const char *host, *myaddr = NULL; Tcl_Obj *script = NULL; Tcl_Channel chan; @@ -1557,8 +1560,11 @@ Tcl_SocketObjCmd( } script = objv[a]; break; + case SKT_REUSEADDR: + flags |= TCL_TCPSERVER_REUSEADDR; + break; case SKT_REUSEPORT: - flags |= 1; + flags |= TCL_TCPSERVER_REUSEPORT; break; default: Tcl_Panic("Tcl_SocketObjCmd: bad option index to SocketOptions"); @@ -1583,7 +1589,14 @@ Tcl_SocketObjCmd( "?-myaddr addr? ?-myport myport? ?-async? host port"); iPtr->flags |= INTERP_ALTERNATE_WRONG_ARGS; Tcl_WrongNumArgs(interp, 1, objv, - "-server command ?-myaddr addr? port"); + "-server command ?-reuseaddr? ?-reuseport? ?-myaddr addr? port"); + return TCL_ERROR; + } + + if (!server && flags != 0) { + Tcl_SetObjResult(interp, Tcl_NewStringObj( + "options -reuseaddr and -reuseport are only valid for servers", + -1)); return TCL_ERROR; } diff --git a/generic/tclIOSock.c b/generic/tclIOSock.c index 72a0b5a..b6e99ba 100644 --- a/generic/tclIOSock.c +++ b/generic/tclIOSock.c @@ -283,7 +283,7 @@ TclCreateSocketAddress( } return 1; } - + /* *---------------------------------------------------------------------- * @@ -304,9 +304,9 @@ Tcl_Channel Tcl_OpenTcpServer(Tcl_Interp *interp, int port, const char *host, Tcl_TcpAcceptProc *acceptProc, ClientData callbackData) { - return Tcl_OpenTcpServerEx(interp, port, host, 0, acceptProc, callbackData); + return Tcl_OpenTcpServerEx(interp, port, host, TCL_TCPSERVER_REUSEADDR, + acceptProc, callbackData); } - /* * Local Variables: diff --git a/unix/tclUnixSock.c b/unix/tclUnixSock.c index 4767522..bb75ed3 100644 --- a/unix/tclUnixSock.c +++ b/unix/tclUnixSock.c @@ -113,11 +113,6 @@ struct TcpState { #define SOCKET_BUFSIZE 4096 -#ifdef SO_REUSEPORT -/* Bitmask to check if the setting of SO_REUSEPORT was requested by the caller. */ -#define USE_SOCK_REUSEPORT 1 -#endif - /* * Static routines for this file: */ @@ -1429,13 +1424,13 @@ Tcl_OpenTcpServerEx( Tcl_Interp *interp, /* For error reporting - may be NULL. */ int port, /* Port number to open. */ const char *myHost, /* Name of local host. */ - int flags, /* Flags. */ + unsigned int flags, /* Flags. */ Tcl_TcpAcceptProc *acceptProc, /* Callback for accepting connections from new * clients. */ ClientData acceptProcData) /* Data for the callback. */ { - int status = 0, sock = -1, reuseaddr = 1, chosenport; + int status = 0, sock = -1, optvalue, chosenport; struct addrinfo *addrlist = NULL, *addrPtr; /* socket address */ TcpState *statePtr = NULL; char channelName[SOCK_CHAN_LENGTH]; @@ -1511,24 +1506,28 @@ Tcl_OpenTcpServerEx( TclSockMinimumBuffers(INT2PTR(sock), SOCKET_BUFSIZE); /* - * Set up to reuse server addresses automatically and bind to the - * specified port. + * Set up to reuse server addresses and/or ports if requested. */ - (void) setsockopt(sock, SOL_SOCKET, SO_REUSEADDR, - (char *) &reuseaddr, sizeof(reuseaddr)); - -#ifdef SO_REUSEPORT - /* - * Set up to allows multiple sockets on the same host to bind to the same port. - * The flag can be switched on by setting the lowest bit above the valid maximum port (0xffff). - */ - if (flags & USE_SOCK_REUSEPORT) { - int reuseport = 1; - (void) setsockopt(sock, SOL_SOCKET, SO_REUSEPORT, - (char *) &reuseport, sizeof(reuseport)); + if (flags & TCL_TCPSERVER_REUSEADDR) { + optvalue = 1; + (void) setsockopt(sock, SOL_SOCKET, SO_REUSEADDR, + (char *) &optvalue, sizeof(optvalue)); } + + if (flags & TCL_TCPSERVER_REUSEPORT) { +#ifndef SO_REUSEPORT + /* + * If the platform doesn't support the SO_REUSEPORT flag we can't do + * much beside erroring out. + */ + errorMsg = "SO_REUSEPORT isn't supported by this platform"; + goto error; #endif + optvalue = 1; + (void) setsockopt(sock, SOL_SOCKET, SO_REUSEPORT, + (char *) &optvalue, sizeof(optvalue)); + } /* * Make sure we use the same port number when opening two server diff --git a/win/tclWinSock.c b/win/tclWinSock.c index a389d45..b228730 100644 --- a/win/tclWinSock.c +++ b/win/tclWinSock.c @@ -2039,7 +2039,7 @@ Tcl_OpenTcpServerEx( Tcl_Interp *interp, /* For error reporting - may be NULL. */ int port, /* Port number to open. */ const char *myHost, /* Name of local host. */ - int flags, /* Flags (not used) */ + unsigned int flags, /* Flags (not used) */ Tcl_TcpAcceptProc *acceptProc, /* Callback for accepting connections from new * clients. */ -- cgit v0.12 From a3a4e02afa38968088c4f32a658ddb26391bc117 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 24 Nov 2016 13:18:10 +0000 Subject: Fix compile error if SO_REUSEPORT not supported. Put command options in alphabetical order --- generic/tclIOCmd.c | 6 +++--- unix/tclUnixSock.c | 3 ++- 2 files changed, 5 insertions(+), 4 deletions(-) diff --git a/generic/tclIOCmd.c b/generic/tclIOCmd.c index b4696fd..930f5a3 100644 --- a/generic/tclIOCmd.c +++ b/generic/tclIOCmd.c @@ -1485,12 +1485,12 @@ Tcl_SocketObjCmd( Tcl_Obj *const objv[]) /* Argument objects. */ { static const char *const socketOptions[] = { - "-async", "-myaddr", "-myport", "-server", "-reuseaddr", "-reuseport", + "-async", "-myaddr", "-myport", "-reuseaddr", "-reuseport", "-server", NULL }; enum socketOptions { - SKT_ASYNC, SKT_MYADDR, SKT_MYPORT, SKT_SERVER, SKT_REUSEADDR, - SKT_REUSEPORT + SKT_ASYNC, SKT_MYADDR, SKT_MYPORT, SKT_REUSEADDR, SKT_REUSEPORT, + SKT_SERVER }; int optionIndex, a, server = 0, port, myport = 0, async = 0; unsigned int flags = 0; diff --git a/unix/tclUnixSock.c b/unix/tclUnixSock.c index bb75ed3..187c157 100644 --- a/unix/tclUnixSock.c +++ b/unix/tclUnixSock.c @@ -1523,10 +1523,11 @@ Tcl_OpenTcpServerEx( */ errorMsg = "SO_REUSEPORT isn't supported by this platform"; goto error; -#endif +#else optvalue = 1; (void) setsockopt(sock, SOL_SOCKET, SO_REUSEPORT, (char *) &optvalue, sizeof(optvalue)); +#endif } /* -- cgit v0.12 From d38a0b78165c57c6689c651906b1306d53f6e2fa Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 24 Nov 2016 13:33:32 +0000 Subject: Make compileEpoch "unsigned int", and start counting at 1. --- generic/tclBasic.c | 2 +- generic/tclCompile.h | 2 +- generic/tclInt.h | 2 +- 3 files changed, 3 insertions(+), 3 deletions(-) diff --git a/generic/tclBasic.c b/generic/tclBasic.c index 8eebab1..c1dd52d 100644 --- a/generic/tclBasic.c +++ b/generic/tclBasic.c @@ -588,7 +588,7 @@ Tcl_CreateInterp(void) iPtr->cmdCount = 0; TclInitLiteralTable(&iPtr->literalTable); - iPtr->compileEpoch = 0; + iPtr->compileEpoch = 1; iPtr->compiledProcPtr = NULL; iPtr->resolverPtr = NULL; iPtr->evalFlags = 0; diff --git a/generic/tclCompile.h b/generic/tclCompile.h index 89cdc59..5ef154e 100644 --- a/generic/tclCompile.h +++ b/generic/tclCompile.h @@ -417,7 +417,7 @@ typedef struct ByteCode { * procs are specific to an interpreter so the * code emitted will depend on the * interpreter. */ - int compileEpoch; /* Value of iPtr->compileEpoch when this + unsigned int compileEpoch; /* Value of iPtr->compileEpoch when this * ByteCode was compiled. Used to invalidate * code when, e.g., commands with compile * procs are redefined. */ diff --git a/generic/tclInt.h b/generic/tclInt.h index 3e55004..4257ea1 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -1898,7 +1898,7 @@ typedef struct Interp { * compiled by the interpreter. Indexed by the * string representations of literals. Used to * avoid creating duplicate objects. */ - int compileEpoch; /* Holds the current "compilation epoch" for + unsigned int compileEpoch; /* Holds the current "compilation epoch" for * this interpreter. This is incremented to * invalidate existing ByteCodes when, e.g., a * command with a compile procedure is -- cgit v0.12 From ef3c261b6dcd49b4bae9b133b7d402090863ddc9 Mon Sep 17 00:00:00 2001 From: limeboy Date: Thu, 24 Nov 2016 15:00:36 +0000 Subject: Adjust the tests and add a handful of new ones. --- tests/socket.test | 31 +++++++++++++++++++++++++------ 1 file changed, 25 insertions(+), 6 deletions(-) diff --git a/tests/socket.test b/tests/socket.test index d43c41c..82dc800 100644 --- a/tests/socket.test +++ b/tests/socket.test @@ -265,13 +265,13 @@ test socket_$af-1.1 {arg parsing for socket command} -constraints [list socket s } -returnCodes error -result {no argument given for -server option} test socket_$af-1.2 {arg parsing for socket command} -constraints [list socket supported_$af] -body { socket -server foo -} -returnCodes error -result {wrong # args: should be "socket ?-myaddr addr? ?-myport myport? ?-async? host port" or "socket -server command ?-myaddr addr? port"} +} -returnCodes error -result {wrong # args: should be "socket ?-myaddr addr? ?-myport myport? ?-async? host port" or "socket -server command ?-reuseaddr? ?-reuseport? ?-myaddr addr? port"} test socket_$af-1.3 {arg parsing for socket command} -constraints [list socket supported_$af] -body { socket -myaddr } -returnCodes error -result {no argument given for -myaddr option} test socket_$af-1.4 {arg parsing for socket command} -constraints [list socket supported_$af] -body { socket -myaddr $localhost -} -returnCodes error -result {wrong # args: should be "socket ?-myaddr addr? ?-myport myport? ?-async? host port" or "socket -server command ?-myaddr addr? port"} +} -returnCodes error -result {wrong # args: should be "socket ?-myaddr addr? ?-myport myport? ?-async? host port" or "socket -server command ?-reuseaddr? ?-reuseport? ?-myaddr addr? port"} test socket_$af-1.5 {arg parsing for socket command} -constraints [list socket supported_$af] -body { socket -myport } -returnCodes error -result {no argument given for -myport option} @@ -280,19 +280,19 @@ test socket_$af-1.6 {arg parsing for socket command} -constraints [list socket s } -returnCodes error -result {expected integer but got "xxxx"} test socket_$af-1.7 {arg parsing for socket command} -constraints [list socket supported_$af] -body { socket -myport 2522 -} -returnCodes error -result {wrong # args: should be "socket ?-myaddr addr? ?-myport myport? ?-async? host port" or "socket -server command ?-myaddr addr? port"} +} -returnCodes error -result {wrong # args: should be "socket ?-myaddr addr? ?-myport myport? ?-async? host port" or "socket -server command ?-reuseaddr? ?-reuseport? ?-myaddr addr? port"} test socket_$af-1.8 {arg parsing for socket command} -constraints [list socket supported_$af] -body { socket -froboz -} -returnCodes error -result {bad option "-froboz": must be -async, -myaddr, -myport, or -server} +} -returnCodes error -result {bad option "-froboz": must be -async, -myaddr, -myport, -server, -reuseaddr, or -reuseport} test socket_$af-1.9 {arg parsing for socket command} -constraints [list socket supported_$af] -body { socket -server foo -myport 2521 3333 } -returnCodes error -result {option -myport is not valid for servers} test socket_$af-1.10 {arg parsing for socket command} -constraints [list socket supported_$af] -body { socket host 2528 -junk -} -returnCodes error -result {wrong # args: should be "socket ?-myaddr addr? ?-myport myport? ?-async? host port" or "socket -server command ?-myaddr addr? port"} +} -returnCodes error -result {wrong # args: should be "socket ?-myaddr addr? ?-myport myport? ?-async? host port" or "socket -server command ?-reuseaddr? ?-reuseport? ?-myaddr addr? port"} test socket_$af-1.11 {arg parsing for socket command} -constraints [list socket supported_$af] -body { socket -server callback 2520 -- -} -returnCodes error -result {wrong # args: should be "socket ?-myaddr addr? ?-myport myport? ?-async? host port" or "socket -server command ?-myaddr addr? port"} +} -returnCodes error -result {wrong # args: should be "socket ?-myaddr addr? ?-myport myport? ?-async? host port" or "socket -server command ?-reuseaddr? ?-reuseport? ?-myaddr addr? port"} test socket_$af-1.12 {arg parsing for socket command} -constraints [list socket supported_$af] -body { socket foo badport } -returnCodes error -result {expected integer but got "badport"} @@ -302,6 +302,12 @@ test socket_$af-1.13 {arg parsing for socket command} -constraints [list socket test socket_$af-1.14 {arg parsing for socket command} -constraints [list socket supported_$af] -body { socket -server foo -async } -returnCodes error -result {cannot set -async option for server sockets} +test socket_$af-1.15 {arg parsing for socket command} -constraints [list socket supported_$af] -body { + socket -reuseaddr 4242 +} -returnCodes error -result {options -reuseaddr and -reuseport are only valid for servers} +test socket_$af-1.16 {arg parsing for socket command} -constraints [list socket supported_$af] -body { + socket -reuseport 4242 +} -returnCodes error -result {options -reuseaddr and -reuseport are only valid for servers} set path(script) [makeFile {} script] @@ -2360,6 +2366,19 @@ test socket-14.18 {bug c6ed4acfd8: running async socket connect made other conne catch {close $csock2} } -result {} +test socket-14.19 {tip 456 -- introduce the -reuseport option} \ + -constraints {socket} \ + -body { + proc accept {channel address port} {} + set port [randport] + set ssock1 [socket -server accept -reuseport $port] + set ssock2 [socket -server accept -reuseport $port] + return ok +} -cleanup { + catch {close $ssock1} + catch {close $ssock2} + } -result ok + set num 0 set x {localhost {socket} 127.0.0.1 {supported_inet} ::1 {supported_inet6}} -- cgit v0.12 From db2389176bddb30734048a790ac9e6c6f2ec5d45 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Thu, 24 Nov 2016 16:20:05 +0000 Subject: Starting implementing the "package files" command. TIP still to be written. --- generic/tclInt.h | 1 + generic/tclLoad.c | 8 ++++- generic/tclPkg.c | 92 ++++++++++++++++++++++++++++++++++++++++++++++++------ tests/package.test | 2 +- 4 files changed, 92 insertions(+), 11 deletions(-) diff --git a/generic/tclInt.h b/generic/tclInt.h index 4257ea1..bfcd002 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -3100,6 +3100,7 @@ MODULE_SCOPE int TclpObjChdir(Tcl_Obj *pathPtr); MODULE_SCOPE Tcl_Channel TclpOpenTemporaryFile(Tcl_Obj *dirObj, Tcl_Obj *basenameObj, Tcl_Obj *extensionObj, Tcl_Obj *resultingNameObj); +MODULE_SCOPE void TclPkgFileSeen(Tcl_Interp *interp, const char *fileName); MODULE_SCOPE Tcl_Obj * TclPathPart(Tcl_Interp *interp, Tcl_Obj *pathPtr, Tcl_PathPart portion); MODULE_SCOPE char * TclpReadlink(const char *fileName, diff --git a/generic/tclLoad.c b/generic/tclLoad.c index be296b3..184c158 100644 --- a/generic/tclLoad.c +++ b/generic/tclLoad.c @@ -397,6 +397,12 @@ Tcl_LoadObjCmd( goto done; } + if (target == interp) { + /* Only register the file if the load is done in the + * current interpreter */ + TclPkgFileSeen(target, Tcl_GetString(objv[1])); + } + /* * Create a new record to describe this package. */ @@ -998,7 +1004,7 @@ Tcl_StaticPackage( } /* - * Package isn't loade in the current interp yet. Mark it as now being + * Package isn't loaded in the current interp yet. Mark it as now being * loaded. */ diff --git a/generic/tclPkg.c b/generic/tclPkg.c index 244eb94..3d052a6 100644 --- a/generic/tclPkg.c +++ b/generic/tclPkg.c @@ -32,6 +32,17 @@ typedef struct PkgAvail { * same package. */ } PkgAvail; +typedef struct PkgName { + struct PkgName *nextPtr; /* Next in list of package names being initialized. */ + char name[1]; +} PkgName; + +typedef struct PkgFiles { + PkgName *names; /* Package names being initialized. */ + Tcl_HashTable table; /* Table which contains files for each package */ +} PkgFiles; + + /* * For each package that is known in any way to an interpreter, there is one * record of the following type. These records are stored in the @@ -81,7 +92,7 @@ static const char * PkgRequireCore(Tcl_Interp *interp, const char *name, ((v) = ckalloc(len), memcpy((v),(s),(len))) #define DupString(v,s) \ do { \ - unsigned local__len = (unsigned) (strlen(s) + 1); \ + size_t local__len = strlen(s) + 1; \ DupBlock((v),(s),local__len); \ } while (0) @@ -189,6 +200,29 @@ Tcl_PkgProvideEx( *---------------------------------------------------------------------- */ +static void PkgFilesCleanupProc(ClientData clientData, + Tcl_Interp *interp) +{ + PkgFiles *pkgFiles = (PkgFiles *) clientData; + + while (pkgFiles->names) { + PkgName *name = pkgFiles->names; + pkgFiles->names = name->nextPtr; + ckfree(name); + } + Tcl_DeleteHashTable(&pkgFiles->table); + return; +} + +void TclPkgFileSeen(Tcl_Interp *interp, const char *fileName) +{ + PkgFiles *pkgFiles = (PkgFiles *) Tcl_GetAssocData(interp, "tclPkgFiles", NULL); + if (pkgFiles) { + const char *name = pkgFiles->names->name; + printf("Seen %s for package %s\n", fileName, name); + } +} + #undef Tcl_PkgRequire const char * Tcl_PkgRequire( @@ -489,12 +523,31 @@ PkgRequireCore( */ char *versionToProvide = bestPtr->version; + PkgFiles *pkgFiles; + PkgName *pkgName; script = bestPtr->script; pkgPtr->clientData = versionToProvide; - Tcl_Preserve(script); Tcl_Preserve(versionToProvide); + Tcl_Preserve(script); + /* If assocdata "tclPkgFiles" doesn't exist yet, create it */ + pkgFiles = Tcl_GetAssocData(interp, "tclPkgFiles", NULL); + if (!pkgFiles) { + pkgFiles = ckalloc(sizeof(PkgFiles)); + pkgFiles->names = NULL; + Tcl_InitHashTable(&pkgFiles->table, TCL_STRING_KEYS); + Tcl_SetAssocData(interp, "tclPkgFiles", PkgFilesCleanupProc, pkgFiles); + } + /* Push "ifneeded" package name in "tclPkgFiles" assocdata. */ + pkgName = ckalloc(sizeof(PkgName) + strlen(name)); + pkgName->nextPtr = pkgFiles->names; + strcpy(pkgName->name, name); + pkgFiles->names = pkgName; code = Tcl_EvalEx(interp, script, -1, TCL_EVAL_GLOBAL); + /* Pop the "ifneeded" package name from "tclPkgFiles" assocdata*/ + pkgName = pkgFiles->names; + pkgFiles->names = pkgFiles->names->nextPtr; + ckfree(pkgName); Tcl_Release(script); pkgPtr = FindPackage(interp, name); @@ -764,14 +817,14 @@ Tcl_PackageObjCmd( Tcl_Obj *const objv[]) /* Argument objects. */ { static const char *const pkgOptions[] = { - "forget", "ifneeded", "names", "prefer", "present", - "provide", "require", "unknown", "vcompare", "versions", - "vsatisfies", NULL + "files", "forget", "ifneeded", "names", "prefer", + "present", "provide", "require", "unknown", "vcompare", + "versions", "vsatisfies", NULL }; enum pkgOptions { - PKG_FORGET, PKG_IFNEEDED, PKG_NAMES, PKG_PREFER, PKG_PRESENT, - PKG_PROVIDE, PKG_REQUIRE, PKG_UNKNOWN, PKG_VCOMPARE, PKG_VERSIONS, - PKG_VSATISFIES + PKG_FILES, PKG_FORGET, PKG_IFNEEDED, PKG_NAMES, PKG_PREFER, + PKG_PRESENT, PKG_PROVIDE, PKG_REQUIRE, PKG_UNKNOWN, PKG_VCOMPARE, + PKG_VERSIONS, PKG_VSATISFIES }; Interp *iPtr = (Interp *) interp; int optionIndex, exact, i, satisfies; @@ -794,6 +847,27 @@ Tcl_PackageObjCmd( return TCL_ERROR; } switch ((enum pkgOptions) optionIndex) { + case PKG_FILES: { + const char *keyString; + Tcl_Obj *result = Tcl_NewObj(); + + for (i = 2; i < objc; i++) { + keyString = TclGetString(objv[i]); + hPtr = Tcl_FindHashEntry(&iPtr->packageTable, keyString); + if (hPtr == NULL) { + continue; + } + pkgPtr = Tcl_GetHashValue(hPtr); + availPtr = pkgPtr->availPtr; + while (availPtr != NULL) { + Tcl_ListObjAppendElement(interp, result, Tcl_NewStringObj(availPtr->script, -1)); + availPtr = availPtr->nextPtr; + } + ckfree(pkgPtr); + } + Tcl_SetObjResult(interp, result); + break; + } case PKG_FORGET: { const char *keyString; @@ -1220,7 +1294,7 @@ FindPackage( void TclFreePackageInfo( - Interp *iPtr) /* Interpereter that is being deleted. */ + Interp *iPtr) /* Interpreter that is being deleted. */ { Package *pkgPtr; Tcl_HashSearch search; diff --git a/tests/package.test b/tests/package.test index 49346d8..99f9f06 100644 --- a/tests/package.test +++ b/tests/package.test @@ -832,7 +832,7 @@ test package-4.52 {Tcl_PackageCmd procedure, "vsatisfies" option} { } {0} test package-4.53 {Tcl_PackageCmd procedure, "versions" option} -body { package foo -} -returnCodes error -result {bad option "foo": must be forget, ifneeded, names, prefer, present, provide, require, unknown, vcompare, versions, or vsatisfies} +} -returnCodes error -result {bad option "foo": must be files, forget, ifneeded, names, prefer, present, provide, require, unknown, vcompare, versions, or vsatisfies} test package-4.54 {Tcl_PackageCmd procedure, "vsatisfies" option} -body { package vsatisfies 2.1 2.1-3.2-4.5 } -returnCodes error -result {expected versionMin-versionMax but got "2.1-3.2-4.5"} -- cgit v0.12 From 088a851f2d1915d2ca3f3896feb454c3b96b0b18 Mon Sep 17 00:00:00 2001 From: andy Date: Thu, 24 Nov 2016 19:21:12 +0000 Subject: Partially backout [ef4da65408] because AppendPrintfToObjVA() (used indirectly by [tcl::unsupported::disassemble]) does not yet support wide and bignum arguments. This fixes a SIGSEGV in compile.test and makes [disassemble] work again. --- generic/tclDisassemble.c | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/generic/tclDisassemble.c b/generic/tclDisassemble.c index 88ff094..0d6da8e 100644 --- a/generic/tclDisassemble.c +++ b/generic/tclDisassemble.c @@ -272,8 +272,8 @@ DisassembleByteCodeObj( sprintf(ptrBuf1, "%p", codePtr); sprintf(ptrBuf2, "%p", iPtr); Tcl_AppendPrintfToObj(bufferObj, - "ByteCode 0x%s, refCt %" TCL_LL_MODIFIER "u, epoch %u, interp 0x%s (epoch %u)\n", - ptrBuf1, (Tcl_WideInt)codePtr->refCount, codePtr->compileEpoch, ptrBuf2, + "ByteCode 0x%s, refCt %u, epoch %u, interp 0x%s (epoch %u)\n", + ptrBuf1, codePtr->refCount, codePtr->compileEpoch, ptrBuf2, iPtr->compileEpoch); Tcl_AppendToObj(bufferObj, " Source ", -1); PrintSourceToObj(bufferObj, codePtr->source, -- cgit v0.12 From 994c07125e17358a895eddd8f573065b68d83d68 Mon Sep 17 00:00:00 2001 From: limeboy Date: Thu, 24 Nov 2016 20:28:42 +0000 Subject: First round of documentation update. --- doc/OpenTcp.3 | 13 ++++++++++++- doc/socket.n | 10 ++++++++++ 2 files changed, 22 insertions(+), 1 deletion(-) diff --git a/doc/OpenTcp.3 b/doc/OpenTcp.3 index 4a7dc1e..040a8e2 100644 --- a/doc/OpenTcp.3 +++ b/doc/OpenTcp.3 @@ -9,7 +9,7 @@ .BS '\" Note: do not modify the .SH NAME line immediately below! .SH NAME -Tcl_OpenTcpClient, Tcl_MakeTcpClientChannel, Tcl_OpenTcpServer \- procedures to open channels using TCP sockets +Tcl_OpenTcpClient, Tcl_MakeTcpClientChannel, Tcl_OpenTcpServer, Tcl_OpenTcpServerEx \- procedures to open channels using TCP sockets .SH SYNOPSIS .nf \fB#include \fR @@ -23,6 +23,9 @@ Tcl_Channel Tcl_Channel \fBTcl_OpenTcpServer\fR(\fIinterp, port, myaddr, proc, clientData\fR) .sp +Tcl_Channel +\fBTcl_OpenTcpServerEx\fR(\fIinterp, port, myaddr, flags, proc, clientData\fR) +.sp .SH ARGUMENTS .AS Tcl_TcpAcceptProc clientData .AP Tcl_Interp *interp in @@ -41,6 +44,9 @@ for the local end of the connection. If NULL, a default interface is chosen. .AP int async in If nonzero, the client socket is connected asynchronously to the server. +.AP "unsigned int" flags in +ORed combination of \fBTCL_TCPSERVER\fR flags that specify additional +informations about the socket being created. .AP ClientData sock in Platform-specific handle for client TCP socket. .AP Tcl_TcpAcceptProc *proc in @@ -158,6 +164,11 @@ register it, use \fBTcl_RegisterChannel\fR. If one of the standard channels, \fBstdin\fR, \fBstdout\fR or \fBstderr\fR was previously closed, the act of creating the new channel also assigns it as a replacement for the standard channel. +.SS TCL_OPENTCPSERVEREX +.PP +\fBTcl_OpenTcpServerEx\fR behaviour is identical to \fBTcl_OpenTcpServer\fR but +gives more flexibility to the user by providing a mean to further customize some +aspects of the socket via the \fIflags\fR parameter. .SH "PLATFORM ISSUES" .PP On Unix platforms, the socket handle is a Unix file descriptor as diff --git a/doc/socket.n b/doc/socket.n index 3efdb37..3d77bab 100644 --- a/doc/socket.n +++ b/doc/socket.n @@ -131,6 +131,16 @@ wildcard address so that it can accept connections from any interface. If \fIaddr\fR is a domain name that resolves to multiple IP addresses that are available on the local machine, the socket will listen on all of them. +.TP +\fB\-reuseaddr\fI boolean\fR +. +Tells the kernel whether to reuse the local address if there's no active socket +listening on it. This is the default on Windows. +.TP +\fB\-reuseport\fI boolean\fR +. +Tells the kernel whether to allow the binding of multiple sockets to the same +socket address. This is the default on Windows. .PP Server channels cannot be used for input or output; their sole use is to accept new client connections. The channels created for each incoming -- cgit v0.12 From c7c008ed87d396afec9a6f9879a22660d6afa490 Mon Sep 17 00:00:00 2001 From: limeboy Date: Thu, 24 Nov 2016 21:01:43 +0000 Subject: Allow a boolean argument to be passed. --- generic/tclIOCmd.c | 42 +++++++++++++++++++++++++++++++++++------- tests/socket.test | 18 +++++++++--------- unix/tclUnixSock.c | 3 ++- 3 files changed, 46 insertions(+), 17 deletions(-) diff --git a/generic/tclIOCmd.c b/generic/tclIOCmd.c index b4696fd..49c7c06 100644 --- a/generic/tclIOCmd.c +++ b/generic/tclIOCmd.c @@ -1485,14 +1485,14 @@ Tcl_SocketObjCmd( Tcl_Obj *const objv[]) /* Argument objects. */ { static const char *const socketOptions[] = { - "-async", "-myaddr", "-myport", "-server", "-reuseaddr", "-reuseport", + "-async", "-myaddr", "-myport", "-reuseaddr", "-reuseport", "server", NULL }; enum socketOptions { - SKT_ASYNC, SKT_MYADDR, SKT_MYPORT, SKT_SERVER, SKT_REUSEADDR, - SKT_REUSEPORT + SKT_ASYNC, SKT_MYADDR, SKT_MYPORT, SKT_REUSEADDR, SKT_REUSEPORT, + SKT_SERVER }; - int optionIndex, a, server = 0, port, myport = 0, async = 0; + int optionIndex, a, server = 0, port, myport = 0, async = 0, boolTmp; unsigned int flags = 0; const char *host, *myaddr = NULL; Tcl_Obj *script = NULL; @@ -1552,6 +1552,7 @@ Tcl_SocketObjCmd( return TCL_ERROR; } server = 1; + flags = TCL_TCPSERVER_REUSEADDR; a++; if (a >= objc) { Tcl_SetObjResult(interp, Tcl_NewStringObj( @@ -1561,10 +1562,36 @@ Tcl_SocketObjCmd( script = objv[a]; break; case SKT_REUSEADDR: - flags |= TCL_TCPSERVER_REUSEADDR; + a++; + if (a >= objc) { + Tcl_SetObjResult(interp, Tcl_NewStringObj( + "no argument given for -reuseaddr option", -1)); + return TCL_ERROR; + } + if (Tcl_GetBooleanFromObj(interp, objv[a], &boolTmp) != TCL_OK) { + return TCL_ERROR; + } + if (boolTmp) { + flags |= TCL_TCPSERVER_REUSEADDR; + } else { + flags &= ~TCL_TCPSERVER_REUSEADDR; + } break; case SKT_REUSEPORT: - flags |= TCL_TCPSERVER_REUSEPORT; + a++; + if (a >= objc) { + Tcl_SetObjResult(interp, Tcl_NewStringObj( + "no argument given for -reuseport option", -1)); + return TCL_ERROR; + } + if (Tcl_GetBooleanFromObj(interp, objv[a], &boolTmp) != TCL_OK) { + return TCL_ERROR; + } + if (boolTmp) { + flags |= TCL_TCPSERVER_REUSEPORT; + } else { + flags &= ~TCL_TCPSERVER_REUSEPORT; + } break; default: Tcl_Panic("Tcl_SocketObjCmd: bad option index to SocketOptions"); @@ -1589,7 +1616,8 @@ Tcl_SocketObjCmd( "?-myaddr addr? ?-myport myport? ?-async? host port"); iPtr->flags |= INTERP_ALTERNATE_WRONG_ARGS; Tcl_WrongNumArgs(interp, 1, objv, - "-server command ?-reuseaddr? ?-reuseport? ?-myaddr addr? port"); + "-server command ?-reuseaddr boolean? ?-reuseport boolean? " + "?-myaddr addr? port"); return TCL_ERROR; } diff --git a/tests/socket.test b/tests/socket.test index 82dc800..387e08e 100644 --- a/tests/socket.test +++ b/tests/socket.test @@ -265,13 +265,13 @@ test socket_$af-1.1 {arg parsing for socket command} -constraints [list socket s } -returnCodes error -result {no argument given for -server option} test socket_$af-1.2 {arg parsing for socket command} -constraints [list socket supported_$af] -body { socket -server foo -} -returnCodes error -result {wrong # args: should be "socket ?-myaddr addr? ?-myport myport? ?-async? host port" or "socket -server command ?-reuseaddr? ?-reuseport? ?-myaddr addr? port"} +} -returnCodes error -result {wrong # args: should be "socket ?-myaddr addr? ?-myport myport? ?-async? host port" or "socket -server command ?-reuseaddr boolean? ?-reuseport boolean? ?-myaddr addr? port"} test socket_$af-1.3 {arg parsing for socket command} -constraints [list socket supported_$af] -body { socket -myaddr } -returnCodes error -result {no argument given for -myaddr option} test socket_$af-1.4 {arg parsing for socket command} -constraints [list socket supported_$af] -body { socket -myaddr $localhost -} -returnCodes error -result {wrong # args: should be "socket ?-myaddr addr? ?-myport myport? ?-async? host port" or "socket -server command ?-reuseaddr? ?-reuseport? ?-myaddr addr? port"} +} -returnCodes error -result {wrong # args: should be "socket ?-myaddr addr? ?-myport myport? ?-async? host port" or "socket -server command ?-reuseaddr boolean? ?-reuseport boolean? ?-myaddr addr? port"} test socket_$af-1.5 {arg parsing for socket command} -constraints [list socket supported_$af] -body { socket -myport } -returnCodes error -result {no argument given for -myport option} @@ -280,7 +280,7 @@ test socket_$af-1.6 {arg parsing for socket command} -constraints [list socket s } -returnCodes error -result {expected integer but got "xxxx"} test socket_$af-1.7 {arg parsing for socket command} -constraints [list socket supported_$af] -body { socket -myport 2522 -} -returnCodes error -result {wrong # args: should be "socket ?-myaddr addr? ?-myport myport? ?-async? host port" or "socket -server command ?-reuseaddr? ?-reuseport? ?-myaddr addr? port"} +} -returnCodes error -result {wrong # args: should be "socket ?-myaddr addr? ?-myport myport? ?-async? host port" or "socket -server command ?-reuseaddr boolean? ?-reuseport boolean? ?-myaddr addr? port"} test socket_$af-1.8 {arg parsing for socket command} -constraints [list socket supported_$af] -body { socket -froboz } -returnCodes error -result {bad option "-froboz": must be -async, -myaddr, -myport, -server, -reuseaddr, or -reuseport} @@ -289,10 +289,10 @@ test socket_$af-1.9 {arg parsing for socket command} -constraints [list socket s } -returnCodes error -result {option -myport is not valid for servers} test socket_$af-1.10 {arg parsing for socket command} -constraints [list socket supported_$af] -body { socket host 2528 -junk -} -returnCodes error -result {wrong # args: should be "socket ?-myaddr addr? ?-myport myport? ?-async? host port" or "socket -server command ?-reuseaddr? ?-reuseport? ?-myaddr addr? port"} +} -returnCodes error -result {wrong # args: should be "socket ?-myaddr addr? ?-myport myport? ?-async? host port" or "socket -server command ?-reuseaddr boolean? ?-reuseport boolean? ?-myaddr addr? port"} test socket_$af-1.11 {arg parsing for socket command} -constraints [list socket supported_$af] -body { socket -server callback 2520 -- -} -returnCodes error -result {wrong # args: should be "socket ?-myaddr addr? ?-myport myport? ?-async? host port" or "socket -server command ?-reuseaddr? ?-reuseport? ?-myaddr addr? port"} +} -returnCodes error -result {wrong # args: should be "socket ?-myaddr addr? ?-myport myport? ?-async? host port" or "socket -server command ?-reuseaddr boolean? ?-reuseport boolean? ?-myaddr addr? port"} test socket_$af-1.12 {arg parsing for socket command} -constraints [list socket supported_$af] -body { socket foo badport } -returnCodes error -result {expected integer but got "badport"} @@ -303,10 +303,10 @@ test socket_$af-1.14 {arg parsing for socket command} -constraints [list socket socket -server foo -async } -returnCodes error -result {cannot set -async option for server sockets} test socket_$af-1.15 {arg parsing for socket command} -constraints [list socket supported_$af] -body { - socket -reuseaddr 4242 + socket -reuseaddr yes 4242 } -returnCodes error -result {options -reuseaddr and -reuseport are only valid for servers} test socket_$af-1.16 {arg parsing for socket command} -constraints [list socket supported_$af] -body { - socket -reuseport 4242 + socket -reuseport yes 4242 } -returnCodes error -result {options -reuseaddr and -reuseport are only valid for servers} set path(script) [makeFile {} script] @@ -2371,8 +2371,8 @@ test socket-14.19 {tip 456 -- introduce the -reuseport option} \ -body { proc accept {channel address port} {} set port [randport] - set ssock1 [socket -server accept -reuseport $port] - set ssock2 [socket -server accept -reuseport $port] + set ssock1 [socket -server accept -reuseport yes $port] + set ssock2 [socket -server accept -reuseport yes $port] return ok } -cleanup { catch {close $ssock1} diff --git a/unix/tclUnixSock.c b/unix/tclUnixSock.c index bb75ed3..187c157 100644 --- a/unix/tclUnixSock.c +++ b/unix/tclUnixSock.c @@ -1523,10 +1523,11 @@ Tcl_OpenTcpServerEx( */ errorMsg = "SO_REUSEPORT isn't supported by this platform"; goto error; -#endif +#else optvalue = 1; (void) setsockopt(sock, SOL_SOCKET, SO_REUSEPORT, (char *) &optvalue, sizeof(optvalue)); +#endif } /* -- cgit v0.12 From 45f0dfd1a9fd6c3b5e3ca9a23da2cfedd364c1f7 Mon Sep 17 00:00:00 2001 From: andy Date: Fri, 25 Nov 2016 01:39:13 +0000 Subject: Remove spurious article in comments --- generic/tclHash.c | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/generic/tclHash.c b/generic/tclHash.c index ac9d40e..78ad514 100644 --- a/generic/tclHash.c +++ b/generic/tclHash.c @@ -924,7 +924,7 @@ HashStringKey( * * BogusFind -- * - * This function is invoked when an Tcl_FindHashEntry is called on a + * This function is invoked when Tcl_FindHashEntry is called on a * table that has been deleted. * * Results: @@ -951,7 +951,7 @@ BogusFind( * * BogusCreate -- * - * This function is invoked when an Tcl_CreateHashEntry is called on a + * This function is invoked when Tcl_CreateHashEntry is called on a * table that has been deleted. * * Results: -- cgit v0.12 From a3572d2400fc9b189ceb5f6f2c929486d136ab05 Mon Sep 17 00:00:00 2001 From: andy Date: Fri, 25 Nov 2016 07:31:46 +0000 Subject: Allow [array names -regexp] to use backreferences. This capability was broken by [71270e9141]. See also bug [1366683]. --- generic/tclRegexp.c | 13 ++++++++++--- tests/set-old.test | 7 +++++++ 2 files changed, 17 insertions(+), 3 deletions(-) diff --git a/generic/tclRegexp.c b/generic/tclRegexp.c index ea25d4b..eb23f72 100644 --- a/generic/tclRegexp.c +++ b/generic/tclRegexp.c @@ -502,9 +502,16 @@ Tcl_RegExpMatchObj( { Tcl_RegExp re; - re = Tcl_GetRegExpFromObj(interp, patternObj, - TCL_REG_ADVANCED | TCL_REG_NOSUB); - if (re == NULL) { + /* + * For performance reasons, first try compiling the RE without support for + * subexpressions. On failure, try again without TCL_REG_NOSUB in case the + * RE has backreferences in it. Closely related to [Bug 1366683]. If this + * still fails, an error message will be left in the interpreter. + */ + + if (!(re = Tcl_GetRegExpFromObj(interp, patternObj, + TCL_REG_ADVANCED | TCL_REG_NOSUB)) + && !(re = Tcl_GetRegExpFromObj(interp, patternObj, TCL_REG_ADVANCED))) { return -1; } return Tcl_RegExpExecObj(interp, re, textObj, 0 /* offset */, diff --git a/tests/set-old.test b/tests/set-old.test index 93169f1..309abaf 100644 --- a/tests/set-old.test +++ b/tests/set-old.test @@ -652,6 +652,13 @@ test set-old-8.52 {array command, array names -regexp on regexp pattern} { set a(11) 1 list [catch {lsort [array names a -regexp ^1]} msg] $msg } {0 {1*2 11 12}} +test set-old-8.52.1 {array command, array names -regexp, backrefs} { + catch {unset a} + set a(1*2) 1 + set a(12) 1 + set a(11) 1 + list [catch {lsort [array names a -regexp {^(.)\1}]} msg] $msg +} {0 11} test set-old-8.53 {array command, array names -regexp} { catch {unset a} set a(-glob) 1 -- cgit v0.12 From 7b4af51ed2c67661856796cc6669052b86bda825 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Fri, 25 Nov 2016 11:47:54 +0000 Subject: Eliminate some macros that are no longer used/needed. --- generic/regc_lex.c | 6 +++--- generic/regc_locale.c | 2 +- generic/regc_nfa.c | 4 ++-- generic/regcomp.c | 12 ++++++------ generic/regcustom.h | 6 +++--- generic/regexec.c | 4 ++-- generic/regguts.h | 21 ++------------------- 7 files changed, 19 insertions(+), 36 deletions(-) diff --git a/generic/regc_lex.c b/generic/regc_lex.c index affcb48..4c8f15f 100644 --- a/generic/regc_lex.c +++ b/generic/regc_lex.c @@ -457,7 +457,7 @@ next( if (ATEOS()) { FAILW(REG_EESCAPE); } - (DISCARD)lexescape(v); + (void)lexescape(v); switch (v->nexttype) { /* not all escapes okay here */ case PLAIN: return 1; @@ -716,7 +716,7 @@ next( } RETV(PLAIN, *v->now++); } - (DISCARD)lexescape(v); + (void)lexescape(v); if (ISERR()) { FAILW(REG_EESCAPE); } @@ -1143,7 +1143,7 @@ skip( /* - newline - return the chr for a newline * This helps confine use of CHR to this source file. - ^ static chr newline(NOPARMS); + ^ static chr newline(void); */ static chr newline(void) diff --git a/generic/regc_locale.c b/generic/regc_locale.c index a6958fe..ab3b7f1 100644 --- a/generic/regc_locale.c +++ b/generic/regc_locale.c @@ -1227,7 +1227,7 @@ cmp( const chr *x, const chr *y, /* strings to compare */ size_t len) /* exact length of comparison */ { - return memcmp(VS(x), VS(y), len*sizeof(chr)); + return memcmp((void*)(x), (void*)(y), len*sizeof(chr)); } /* diff --git a/generic/regc_nfa.c b/generic/regc_nfa.c index 088c6c0..240fcfe 100644 --- a/generic/regc_nfa.c +++ b/generic/regc_nfa.c @@ -843,7 +843,7 @@ moveins( /* - copyins - copy in arcs of a state to another state - ^ static VOID copyins(struct nfa *, struct state *, struct state *, int); + ^ static void copyins(struct nfa *, struct state *, struct state *, int); */ static void copyins( @@ -1100,7 +1100,7 @@ moveouts( /* - copyouts - copy out arcs of a state to another state - ^ static VOID copyouts(struct nfa *, struct state *, struct state *, int); + ^ static void copyouts(struct nfa *, struct state *, struct state *, int); */ static void copyouts( diff --git a/generic/regcomp.c b/generic/regcomp.c index 211cd70..58d55fb 100644 --- a/generic/regcomp.c +++ b/generic/regcomp.c @@ -82,7 +82,7 @@ static int lexescape(struct vars *); static int lexdigits(struct vars *, int, int, int); static int brenext(struct vars *, pchr); static void skip(struct vars *); -static chr newline(NOPARMS); +static chr newline(void); static chr chrnamed(struct vars *, const chr *, const chr *, pchr); /* === regc_color.c === */ static void initcm(struct vars *, struct colormap *); @@ -341,13 +341,13 @@ compile( re->re_info = 0; /* bits get set during parse */ re->re_csize = sizeof(chr); re->re_guts = NULL; - re->re_fns = VS(&functions); + re->re_fns = (void*)(&functions); /* * More complex setup, malloced things. */ - re->re_guts = VS(MALLOC(sizeof(struct guts))); + re->re_guts = (void*)(MALLOC(sizeof(struct guts))); if (re->re_guts == NULL) { return freev(v, REG_ESPACE); } @@ -434,7 +434,7 @@ compile( * Can sacrifice main NFA now, so use it as work area. */ - (DISCARD) optimize(v->nfa, debug); + (void) optimize(v->nfa, debug); CNOERR(); makesearch(v, v->nfa); CNOERR(); @@ -1920,10 +1920,10 @@ nfatree( assert(t != NULL && t->begin != NULL); if (t->left != NULL) { - (DISCARD) nfatree(v, t->left, f); + (void) nfatree(v, t->left, f); } if (t->right != NULL) { - (DISCARD) nfatree(v, t->right, f); + (void) nfatree(v, t->right, f); } return nfanode(v, t, f); diff --git a/generic/regcustom.h b/generic/regcustom.h index 681b97d..1f00bf4 100644 --- a/generic/regcustom.h +++ b/generic/regcustom.h @@ -37,9 +37,9 @@ */ #define FUNCPTR(name, args) (*name)args -#define MALLOC(n) VS(attemptckalloc(n)) -#define FREE(p) ckfree(VS(p)) -#define REALLOC(p,n) VS(attemptckrealloc(VS(p),n)) +#define MALLOC(n) (void*)(attemptckalloc(n)) +#define FREE(p) ckfree((void*)(p)) +#define REALLOC(p,n) (void*)(attemptckrealloc((void*)(p),n)) /* * Do not insert extras between the "begin" and "end" lines - this chunk is diff --git a/generic/regexec.c b/generic/regexec.c index 6d12827..128d439 100644 --- a/generic/regexec.c +++ b/generic/regexec.c @@ -44,7 +44,7 @@ struct sset { /* state set */ unsigned hash; /* hash of bitvector */ #define HASH(bv, nw) (((nw) == 1) ? *(bv) : hash(bv, nw)) #define HIT(h,bv,ss,nw) ((ss)->hash == (h) && ((nw) == 1 || \ - memcmp(VS(bv), VS((ss)->states), (nw)*sizeof(unsigned)) == 0)) + memcmp((void*)(bv), (void*)((ss)->states), (nw)*sizeof(unsigned)) == 0)) int flags; #define STARTER 01 /* the initial state set */ #define POSTSTATE 02 /* includes the goal state */ @@ -268,7 +268,7 @@ exec( if (st == REG_OKAY && v->pmatch != pmatch && nmatch > 0) { zapallsubs(pmatch, nmatch); n = (nmatch < v->nmatch) ? nmatch : v->nmatch; - memcpy(VS(pmatch), VS(v->pmatch), n*sizeof(regmatch_t)); + memcpy((void*)(pmatch), (void*)(v->pmatch), n*sizeof(regmatch_t)); } /* diff --git a/generic/regguts.h b/generic/regguts.h index 1ac2465..9461136 100644 --- a/generic/regguts.h +++ b/generic/regguts.h @@ -49,23 +49,6 @@ #include #endif -/* voids */ -#ifndef VOID -#define VOID void /* for function return values */ -#endif -#ifndef DISCARD -#define DISCARD void /* for throwing values away */ -#endif -#ifndef PVOID -#define PVOID void * /* generic pointer */ -#endif -#ifndef VS -#define VS(x) ((void*)(x)) /* cast something to generic ptr */ -#endif -#ifndef NOPARMS -#define NOPARMS void /* for empty parm lists */ -#endif - /* function-pointer declarator */ #ifndef FUNCPTR #if __STDC__ >= 1 @@ -80,10 +63,10 @@ #define MALLOC(n) malloc(n) #endif #ifndef REALLOC -#define REALLOC(p, n) realloc(VS(p), n) +#define REALLOC(p, n) realloc(p, n) #endif #ifndef FREE -#define FREE(p) free(VS(p)) +#define FREE(p) free(p) #endif /* want size of a char in bits, and max value in bounded quantifiers */ -- cgit v0.12 From bb43812d0c072311a503fa53ef663342c3eed4c1 Mon Sep 17 00:00:00 2001 From: limeboy Date: Fri, 25 Nov 2016 13:27:56 +0000 Subject: Minor documentation touchups. --- doc/socket.n | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/doc/socket.n b/doc/socket.n index 3d77bab..532ea2e 100644 --- a/doc/socket.n +++ b/doc/socket.n @@ -134,13 +134,13 @@ listen on all of them. .TP \fB\-reuseaddr\fI boolean\fR . -Tells the kernel whether to reuse the local address if there's no active socket -listening on it. This is the default on Windows. +Tells the kernel whether to reuse the local address if there is no socket +actively listening on it. This is the default on Windows. .TP \fB\-reuseport\fI boolean\fR . Tells the kernel whether to allow the binding of multiple sockets to the same -socket address. This is the default on Windows. +address and port as long as all of them specify the \fB-reuseport\fR option. .PP Server channels cannot be used for input or output; their sole use is to accept new client connections. The channels created for each incoming -- cgit v0.12 From 644cb60988ea393b62e1e6fc23588ef660c8272d Mon Sep 17 00:00:00 2001 From: limeboy Date: Fri, 25 Nov 2016 14:53:20 +0000 Subject: Windows support and minor touchups to the documentation. --- doc/socket.n | 2 +- win/tclWinSock.c | 17 +++++++++++++---- 2 files changed, 14 insertions(+), 5 deletions(-) diff --git a/doc/socket.n b/doc/socket.n index 532ea2e..823dbd5 100644 --- a/doc/socket.n +++ b/doc/socket.n @@ -140,7 +140,7 @@ actively listening on it. This is the default on Windows. \fB\-reuseport\fI boolean\fR . Tells the kernel whether to allow the binding of multiple sockets to the same -address and port as long as all of them specify the \fB-reuseport\fR option. +address and port. .PP Server channels cannot be used for input or output; their sole use is to accept new client connections. The channels created for each incoming diff --git a/win/tclWinSock.c b/win/tclWinSock.c index b228730..af22cf8 100644 --- a/win/tclWinSock.c +++ b/win/tclWinSock.c @@ -2039,7 +2039,7 @@ Tcl_OpenTcpServerEx( Tcl_Interp *interp, /* For error reporting - may be NULL. */ int port, /* Port number to open. */ const char *myHost, /* Name of local host. */ - unsigned int flags, /* Flags (not used) */ + unsigned int flags, /* Flags. */ Tcl_TcpAcceptProc *acceptProc, /* Callback for accepting connections from new * clients. */ @@ -2053,6 +2053,7 @@ Tcl_OpenTcpServerEx( char channelName[SOCK_CHAN_LENGTH]; u_long flag = 1; /* Indicates nonblocking mode. */ const char *errorMsg = NULL; + int optvalue; if (TclpHasSockets(interp) != TCL_OK) { return NULL; @@ -2111,9 +2112,17 @@ Tcl_OpenTcpServerEx( } /* - * Bind to the specified port. Note that we must not call - * setsockopt with SO_REUSEADDR or SO_REUSEPORT because Microsoft - * allows addresses and ports to be reused even if they are still in use. + * The SO_REUSEADDR option on Windows behaves like SO_REUSEPORT on unix + * systems. + */ + if (flags & TCL_TCPSERVER_REUSEPORT) { + optvalue = 1; + (void) setsockopt(sock, SOL_SOCKET, SO_REUSEADDR, + (char *) &optvalue, sizeof(optvalue)); + } + + /* + * Bind to the specified port. * * Bind should not be affected by the socket having already been * set into nonblocking mode. If there is trouble, this is one -- cgit v0.12 From fabd3e7dc8882faee98b35feb738939c197e23b5 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Sat, 26 Nov 2016 17:47:27 +0000 Subject: Add "package files" testcase, which doesn give the right answer. So still work to do --- tests/load.test | 4 ++-- tests/package.test | 12 ++++++++++-- 2 files changed, 12 insertions(+), 4 deletions(-) diff --git a/tests/load.test b/tests/load.test index 7c4b47f..94451e9 100644 --- a/tests/load.test +++ b/tests/load.test @@ -197,14 +197,14 @@ test load-8.2 {TclGetLoadedPackages procedure} -body { } -returnCodes error -result {could not find interpreter "gorp"} test load-8.3a {TclGetLoadedPackages procedure} [list teststaticpkg $dll $loaded] { lsort -index 1 [info loaded {}] -} [lsort -index 1 [list {{} Double} {{} More} {{} Another} {{} Test} [list [file join $testDir pkga$ext] Pkga] [list [file join $testDir pkgb$ext] Pkgb] {*}$alreadyLoaded]] +} [lsort -index 1 [list {{} Double} {{} More} {{} Another} {{} Test} [list [file join $testDir pkga$ext] Pkga] [list [file join $testDir pkgb$ext] Pkgb] [list [file join $testDir pkge$ext] Pkge] {*}$alreadyLoaded]] test load-8.3b {TclGetLoadedPackages procedure} [list teststaticpkg $dll $loaded] { lsort -index 1 [info loaded child] } [lsort -index 1 [list {{} Test} [list [file join $testDir pkgb$ext] Pkgb]]] test load-8.4 {TclGetLoadedPackages procedure} [list $dll $loaded teststaticpkg] { load [file join $testDir pkgb$ext] pkgb list [lsort -index 1 [info loaded {}]] [lsort [info commands pkgb_*]] -} [list [lsort -index 1 [concat [list [list [file join $testDir pkgb$ext] Pkgb] {{} Double} {{} More} {{} Another} {{} Test} [list [file join $testDir pkga$ext] Pkga]] $alreadyLoaded]] {pkgb_demo pkgb_sub pkgb_unsafe}] +} [list [lsort -index 1 [concat [list [list [file join $testDir pkgb$ext] Pkgb] [list [file join $testDir pkge$ext] Pkge] {{} Double} {{} More} {{} Another} {{} Test} [list [file join $testDir pkga$ext] Pkga]] $alreadyLoaded]] {pkgb_demo pkgb_sub pkgb_unsafe}] interp delete child test load-9.1 {Tcl_StaticPackage, load already-loaded package into another interp} \ diff --git a/tests/package.test b/tests/package.test index 99f9f06..7e8a42d 100644 --- a/tests/package.test +++ b/tests/package.test @@ -55,8 +55,8 @@ test package-1.7 {pkg::create gives correct output for 1 direct source} { ::pkg::create -name foo -version 1.0 -source test.tcl } {package ifneeded foo 1.0 [list source [file join $dir test.tcl]]} test package-1.8 {pkg::create gives correct output for 2 direct sources} { - ::pkg::create -name foo -version 1.0 -source test.tcl -source test2.tcl -} {package ifneeded foo 1.0 [list source [file join $dir test.tcl]]\n[list source [file join $dir test2.tcl]]} + list [::pkg::create -name foo -version 1.0 -source test.tcl -source test2.tcl] [package files foo] +} {{package ifneeded foo 1.0 [list source [file join $dir test.tcl]]\n[list source [file join $dir test2.tcl]]} {}} test package-1.9 {pkg::create gives correct output for 1 direct load} { ::pkg::create -name foo -version 1.0 -load test.so } {package ifneeded foo 1.0 [list load [file join $dir test.so]]} @@ -870,6 +870,14 @@ test package-5.2 {TclFreePackageInfo procedure} -body { } foo eval package require x 3.1 } -returnCodes error -match glob -result * +test package-5.3 {package files} -body { + interp create foo + foo eval { + package ifneeded t 2.4 {package provide t 2.4;package require http} + } + foo eval package require t 2.4 + foo eval {list [package files http] [package files t]} +} -result "[list {}] [file join $tcl_library http http.tcl]" test package-6.1 {CheckVersion procedure} { package vcompare 1 2.1 -- cgit v0.12 From e506fbc42c805d0a6dfe2982a6169a0397aeddad Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 28 Nov 2016 13:17:47 +0000 Subject: Complete implementation, tests and documentation --- doc/info.n | 7 +-- doc/package.n | 8 ++++ generic/tclCmdMZ.c | 27 ++++++++++- generic/tclInt.h | 1 + generic/tclInterp.c | 19 +++++++- generic/tclPkg.c | 24 ++++++---- library/init.tcl | 2 +- library/package.tcl | 2 +- library/tclIndex | 134 ++++++++++++++++++++++++++-------------------------- tests/package.test | 2 +- 10 files changed, 140 insertions(+), 86 deletions(-) diff --git a/doc/info.n b/doc/info.n index 477e272..01ca10b 100644 --- a/doc/info.n +++ b/doc/info.n @@ -297,10 +297,11 @@ scripts are stored. This is actually the value of the \fBtcl_library\fR variable and may be changed by setting \fBtcl_library\fR. .TP -\fBinfo loaded \fR?\fIinterp\fR? +\fBinfo loaded \fR?\fIinterp\fR? \fR?\fIpackage\fR? . -Returns a list describing all of the packages that have been loaded into -\fIinterp\fR with the \fBload\fR command. +Returns the filename loaded as part of \fIpackage\fR. If \fIpackage\fR +is not specified, returns a list describing all of the packages +that have been loaded into \fIinterp\fR with the \fBload\fR command. Each list element is a sub-list with two elements consisting of the name of the file from which the package was loaded and the name of the package. diff --git a/doc/package.n b/doc/package.n index 47b2aa6..5687480 100644 --- a/doc/package.n +++ b/doc/package.n @@ -12,6 +12,7 @@ package \- Facilities for package loading and version control .SH SYNOPSIS .nf +\fBpackage files\fR \fIpackage\fR \fBpackage forget\fR ?\fIpackage package ...\fR? \fBpackage ifneeded \fIpackage version\fR ?\fIscript\fR? \fBpackage names\fR @@ -43,6 +44,13 @@ primarily by system scripts that maintain the package database. The behavior of the \fBpackage\fR command is determined by its first argument. The following forms are permitted: .TP +\fBpackage files\fR \fIpackage\fR +. +Lists all files forming part of \fIpackage\fR. Auto-loaded files are not +included in this list, only files which were directly sourced during package +initialization. The list order corresponds with the order in which the +files were sourced. +.TP \fBpackage forget\fR ?\fIpackage package ...\fR? . Removes all information about each specified package from this interpreter, diff --git a/generic/tclCmdMZ.c b/generic/tclCmdMZ.c index ed3d9a5..7f2a2f3 100644 --- a/generic/tclCmdMZ.c +++ b/generic/tclCmdMZ.c @@ -989,8 +989,11 @@ TclNRSourceObjCmd( { const char *encodingName = NULL; Tcl_Obj *fileName; + int result; + void **pkgFiles = NULL; + void *names = NULL; - if (objc != 2 && objc !=4) { + if (objc < 2 || objc > 4) { Tcl_WrongNumArgs(interp, 1, objv, "?-encoding name? fileName"); return TCL_ERROR; } @@ -1008,8 +1011,28 @@ TclNRSourceObjCmd( return TCL_ERROR; } encodingName = TclGetString(objv[2]); + } else if (objc == 3) { + static const char *const nopkgoptions[] = { + "-nopkg", NULL + }; + int index; + + if (TCL_ERROR == Tcl_GetIndexFromObj(interp, objv[1], nopkgoptions, + "option", TCL_EXACT, &index)) { + return TCL_ERROR; + } + pkgFiles = Tcl_GetAssocData(interp, "tclPkgFiles", NULL); + /* Make sure that during the following TclNREvalFile no filenames + * are recorded for inclusion in the "package files" command */ + names = *pkgFiles; + *pkgFiles = NULL; } - return TclNREvalFile(interp, fileName, encodingName); + result = TclNREvalFile(interp, fileName, encodingName); + if (pkgFiles) { + /* restore "tclPkgFiles" assocdata to how it was. */ + *pkgFiles = names; + } + return result; } /* diff --git a/generic/tclInt.h b/generic/tclInt.h index bfcd002..9422a03 100644 --- a/generic/tclInt.h +++ b/generic/tclInt.h @@ -3101,6 +3101,7 @@ MODULE_SCOPE Tcl_Channel TclpOpenTemporaryFile(Tcl_Obj *dirObj, Tcl_Obj *basenameObj, Tcl_Obj *extensionObj, Tcl_Obj *resultingNameObj); MODULE_SCOPE void TclPkgFileSeen(Tcl_Interp *interp, const char *fileName); +MODULE_SCOPE void *TclInitPkgFiles(Tcl_Interp *interp); MODULE_SCOPE Tcl_Obj * TclPathPart(Tcl_Interp *interp, Tcl_Obj *pathPtr, Tcl_PathPart portion); MODULE_SCOPE char * TclpReadlink(const char *fileName, diff --git a/generic/tclInterp.c b/generic/tclInterp.c index 1bfe76a..7874de9 100644 --- a/generic/tclInterp.c +++ b/generic/tclInterp.c @@ -331,13 +331,24 @@ TclSetPreInitScript( *---------------------------------------------------------------------- */ +typedef struct PkgName { + struct PkgName *nextPtr; /* Next in list of package names being initialized. */ + char name[4]; +} PkgName; + int Tcl_Init( Tcl_Interp *interp) /* Interpreter to initialize. */ { + PkgName pkgName = {NULL, "Tcl"}; + PkgName **names = TclInitPkgFiles(interp); + int result = TCL_ERROR; + + pkgName.nextPtr = *names; + *names = &pkgName; if (tclPreInitScript != NULL) { if (Tcl_EvalEx(interp, tclPreInitScript, -1, 0) == TCL_ERROR) { - return TCL_ERROR; + goto end; } } @@ -382,7 +393,7 @@ Tcl_Init( * alternate tclInit command before calling Tcl_Init(). */ - return Tcl_EvalEx(interp, + result = Tcl_EvalEx(interp, "if {[namespace which -command tclInit] eq \"\"} {\n" " proc tclInit {} {\n" " global tcl_libPath tcl_library env tclDefaultLibrary\n" @@ -445,6 +456,10 @@ Tcl_Init( " }\n" "}\n" "tclInit", -1, 0); + +end: + *names = (*names)->nextPtr; + return result; } /* diff --git a/generic/tclPkg.c b/generic/tclPkg.c index c258987..c3cc54e 100644 --- a/generic/tclPkg.c +++ b/generic/tclPkg.c @@ -38,7 +38,7 @@ typedef struct PkgName { } PkgName; typedef struct PkgFiles { - PkgName *names; /* Package names being initialized. */ + PkgName *names; /* Package names being initialized. Must be first field*/ Tcl_HashTable table; /* Table which contains files for each package */ } PkgFiles; @@ -222,6 +222,19 @@ static void PkgFilesCleanupProc(ClientData clientData, return; } +void *TclInitPkgFiles(Tcl_Interp *interp) +{ + /* If assocdata "tclPkgFiles" doesn't exist yet, create it */ + PkgFiles *pkgFiles = Tcl_GetAssocData(interp, "tclPkgFiles", NULL); + if (!pkgFiles) { + pkgFiles = ckalloc(sizeof(PkgFiles)); + pkgFiles->names = NULL; + Tcl_InitHashTable(&pkgFiles->table, TCL_STRING_KEYS); + Tcl_SetAssocData(interp, "tclPkgFiles", PkgFilesCleanupProc, pkgFiles); + } + return pkgFiles; +} + void TclPkgFileSeen(Tcl_Interp *interp, const char *fileName) { PkgFiles *pkgFiles = (PkgFiles *) Tcl_GetAssocData(interp, "tclPkgFiles", NULL); @@ -549,14 +562,7 @@ PkgRequireCore( pkgPtr->clientData = versionToProvide; Tcl_Preserve(versionToProvide); Tcl_Preserve(script); - /* If assocdata "tclPkgFiles" doesn't exist yet, create it */ - pkgFiles = Tcl_GetAssocData(interp, "tclPkgFiles", NULL); - if (!pkgFiles) { - pkgFiles = ckalloc(sizeof(PkgFiles)); - pkgFiles->names = NULL; - Tcl_InitHashTable(&pkgFiles->table, TCL_STRING_KEYS); - Tcl_SetAssocData(interp, "tclPkgFiles", PkgFilesCleanupProc, pkgFiles); - } + pkgFiles = TclInitPkgFiles(interp); /* Push "ifneeded" package name in "tclPkgFiles" assocdata. */ pkgName = ckalloc(sizeof(PkgName) + strlen(name)); pkgName->nextPtr = pkgFiles->names; diff --git a/library/init.tcl b/library/init.tcl index 544ea77..bac6270 100644 --- a/library/init.tcl +++ b/library/init.tcl @@ -483,7 +483,7 @@ proc auto_load_index {} { set dir [lindex $auto_path $i] set f "" if {$issafe} { - catch {source [file join $dir tclIndex]} + catch {source -nopkg [file join $dir tclIndex]} } elseif {[catch {set f [open [file join $dir tclIndex]]}]} { continue } else { diff --git a/library/package.tcl b/library/package.tcl index 44e3b28..cb1bea6 100644 --- a/library/package.tcl +++ b/library/package.tcl @@ -488,7 +488,7 @@ proc tclPkgUnknown {name args} { set dir [file dirname $file] if {![info exists procdDirs($dir)]} { try { - source $file + source -nopkg $file } trap {POSIX EACCES} {} { # $file was not readable; silently ignore continue diff --git a/library/tclIndex b/library/tclIndex index 26603c1..2762ce4 100644 --- a/library/tclIndex +++ b/library/tclIndex @@ -1,75 +1,75 @@ # Tcl autoload index file, version 2.0 # -*- tcl -*- # This file is generated by the "auto_mkindex" command -# and sourced to set up indexing information for one or +# and source -nopkgd to set up indexing information for one or # more commands. Typically each line is a command that # sets an element in the auto_index array, where the # element name is the name of a command and the value is # a script that loads the command. -set auto_index(auto_reset) [list source [file join $dir auto.tcl]] -set auto_index(tcl_findLibrary) [list source [file join $dir auto.tcl]] -set auto_index(auto_mkindex) [list source [file join $dir auto.tcl]] -set auto_index(auto_mkindex_old) [list source [file join $dir auto.tcl]] -set auto_index(::auto_mkindex_parser::init) [list source [file join $dir auto.tcl]] -set auto_index(::auto_mkindex_parser::cleanup) [list source [file join $dir auto.tcl]] -set auto_index(::auto_mkindex_parser::mkindex) [list source [file join $dir auto.tcl]] -set auto_index(::auto_mkindex_parser::hook) [list source [file join $dir auto.tcl]] -set auto_index(::auto_mkindex_parser::slavehook) [list source [file join $dir auto.tcl]] -set auto_index(::auto_mkindex_parser::command) [list source [file join $dir auto.tcl]] -set auto_index(::auto_mkindex_parser::commandInit) [list source [file join $dir auto.tcl]] -set auto_index(::auto_mkindex_parser::fullname) [list source [file join $dir auto.tcl]] -set auto_index(history) [list source [file join $dir history.tcl]] -set auto_index(::tcl::HistAdd) [list source [file join $dir history.tcl]] -set auto_index(::tcl::HistKeep) [list source [file join $dir history.tcl]] -set auto_index(::tcl::HistClear) [list source [file join $dir history.tcl]] -set auto_index(::tcl::HistInfo) [list source [file join $dir history.tcl]] -set auto_index(::tcl::HistRedo) [list source [file join $dir history.tcl]] -set auto_index(::tcl::HistIndex) [list source [file join $dir history.tcl]] -set auto_index(::tcl::HistEvent) [list source [file join $dir history.tcl]] -set auto_index(::tcl::HistChange) [list source [file join $dir history.tcl]] -set auto_index(pkg_mkIndex) [list source [file join $dir package.tcl]] -set auto_index(tclPkgSetup) [list source [file join $dir package.tcl]] -set auto_index(tclPkgUnknown) [list source [file join $dir package.tcl]] -set auto_index(::tcl::MacOSXPkgUnknown) [list source [file join $dir package.tcl]] -set auto_index(::pkg::create) [list source [file join $dir package.tcl]] -set auto_index(parray) [list source [file join $dir parray.tcl]] -set auto_index(::safe::InterpStatics) [list source [file join $dir safe.tcl]] -set auto_index(::safe::InterpNested) [list source [file join $dir safe.tcl]] -set auto_index(::safe::interpCreate) [list source [file join $dir safe.tcl]] -set auto_index(::safe::interpInit) [list source [file join $dir safe.tcl]] -set auto_index(::safe::CheckInterp) [list source [file join $dir safe.tcl]] -set auto_index(::safe::interpConfigure) [list source [file join $dir safe.tcl]] -set auto_index(::safe::InterpCreate) [list source [file join $dir safe.tcl]] -set auto_index(::safe::InterpSetConfig) [list source [file join $dir safe.tcl]] -set auto_index(::safe::interpFindInAccessPath) [list source [file join $dir safe.tcl]] -set auto_index(::safe::interpAddToAccessPath) [list source [file join $dir safe.tcl]] -set auto_index(::safe::InterpInit) [list source [file join $dir safe.tcl]] -set auto_index(::safe::AddSubDirs) [list source [file join $dir safe.tcl]] -set auto_index(::safe::interpDelete) [list source [file join $dir safe.tcl]] -set auto_index(::safe::setLogCmd) [list source [file join $dir safe.tcl]] -set auto_index(::safe::SyncAccessPath) [list source [file join $dir safe.tcl]] -set auto_index(::safe::PathToken) [list source [file join $dir safe.tcl]] -set auto_index(::safe::TranslatePath) [list source [file join $dir safe.tcl]] -set auto_index(::safe::Log) [list source [file join $dir safe.tcl]] -set auto_index(::safe::CheckFileName) [list source [file join $dir safe.tcl]] -set auto_index(::safe::AliasGlob) [list source [file join $dir safe.tcl]] -set auto_index(::safe::AliasSource) [list source [file join $dir safe.tcl]] -set auto_index(::safe::AliasLoad) [list source [file join $dir safe.tcl]] -set auto_index(::safe::FileInAccessPath) [list source [file join $dir safe.tcl]] -set auto_index(::safe::DirInAccessPath) [list source [file join $dir safe.tcl]] -set auto_index(::safe::Subset) [list source [file join $dir safe.tcl]] -set auto_index(::safe::AliasSubset) [list source [file join $dir safe.tcl]] -set auto_index(::safe::AliasEncoding) [list source [file join $dir safe.tcl]] -set auto_index(tcl_wordBreakAfter) [list source [file join $dir word.tcl]] -set auto_index(tcl_wordBreakBefore) [list source [file join $dir word.tcl]] -set auto_index(tcl_endOfWord) [list source [file join $dir word.tcl]] -set auto_index(tcl_startOfNextWord) [list source [file join $dir word.tcl]] -set auto_index(tcl_startOfPreviousWord) [list source [file join $dir word.tcl]] -set auto_index(::tcl::tm::add) [list source [file join $dir tm.tcl]] -set auto_index(::tcl::tm::remove) [list source [file join $dir tm.tcl]] -set auto_index(::tcl::tm::list) [list source [file join $dir tm.tcl]] -set auto_index(::tcl::tm::Defaults) [list source [file join $dir tm.tcl]] -set auto_index(::tcl::tm::UnknownHandler) [list source [file join $dir tm.tcl]] -set auto_index(::tcl::tm::roots) [list source [file join $dir tm.tcl]] -set auto_index(::tcl::tm::path) [list source [file join $dir tm.tcl]] +set auto_index(auto_reset) [list source -nopkg [file join $dir auto.tcl]] +set auto_index(tcl_findLibrary) [list source -nopkg [file join $dir auto.tcl]] +set auto_index(auto_mkindex) [list source -nopkg [file join $dir auto.tcl]] +set auto_index(auto_mkindex_old) [list source -nopkg [file join $dir auto.tcl]] +set auto_index(::auto_mkindex_parser::init) [list source -nopkg [file join $dir auto.tcl]] +set auto_index(::auto_mkindex_parser::cleanup) [list source -nopkg [file join $dir auto.tcl]] +set auto_index(::auto_mkindex_parser::mkindex) [list source -nopkg [file join $dir auto.tcl]] +set auto_index(::auto_mkindex_parser::hook) [list source -nopkg [file join $dir auto.tcl]] +set auto_index(::auto_mkindex_parser::slavehook) [list source -nopkg [file join $dir auto.tcl]] +set auto_index(::auto_mkindex_parser::command) [list source -nopkg [file join $dir auto.tcl]] +set auto_index(::auto_mkindex_parser::commandInit) [list source -nopkg [file join $dir auto.tcl]] +set auto_index(::auto_mkindex_parser::fullname) [list source -nopkg [file join $dir auto.tcl]] +set auto_index(history) [list source -nopkg [file join $dir history.tcl]] +set auto_index(::tcl::HistAdd) [list source -nopkg [file join $dir history.tcl]] +set auto_index(::tcl::HistKeep) [list source -nopkg [file join $dir history.tcl]] +set auto_index(::tcl::HistClear) [list source -nopkg [file join $dir history.tcl]] +set auto_index(::tcl::HistInfo) [list source -nopkg [file join $dir history.tcl]] +set auto_index(::tcl::HistRedo) [list source -nopkg [file join $dir history.tcl]] +set auto_index(::tcl::HistIndex) [list source -nopkg [file join $dir history.tcl]] +set auto_index(::tcl::HistEvent) [list source -nopkg [file join $dir history.tcl]] +set auto_index(::tcl::HistChange) [list source -nopkg [file join $dir history.tcl]] +set auto_index(pkg_mkIndex) [list source -nopkg [file join $dir package.tcl]] +set auto_index(tclPkgSetup) [list source -nopkg [file join $dir package.tcl]] +set auto_index(tclPkgUnknown) [list source -nopkg [file join $dir package.tcl]] +set auto_index(::tcl::MacOSXPkgUnknown) [list source -nopkg [file join $dir package.tcl]] +set auto_index(::pkg::create) [list source -nopkg [file join $dir package.tcl]] +set auto_index(parray) [list source -nopkg [file join $dir parray.tcl]] +set auto_index(::safe::InterpStatics) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::InterpNested) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::interpCreate) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::interpInit) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::CheckInterp) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::interpConfigure) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::InterpCreate) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::InterpSetConfig) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::interpFindInAccessPath) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::interpAddToAccessPath) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::InterpInit) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::AddSubDirs) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::interpDelete) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::setLogCmd) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::SyncAccessPath) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::PathToken) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::TranslatePath) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::Log) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::CheckFileName) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::AliasGlob) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::AliasSource) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::AliasLoad) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::FileInAccessPath) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::DirInAccessPath) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::Subset) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::AliasSubset) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(::safe::AliasEncoding) [list source -nopkg [file join $dir safe.tcl]] +set auto_index(tcl_wordBreakAfter) [list source -nopkg [file join $dir word.tcl]] +set auto_index(tcl_wordBreakBefore) [list source -nopkg [file join $dir word.tcl]] +set auto_index(tcl_endOfWord) [list source -nopkg [file join $dir word.tcl]] +set auto_index(tcl_startOfNextWord) [list source -nopkg [file join $dir word.tcl]] +set auto_index(tcl_startOfPreviousWord) [list source -nopkg [file join $dir word.tcl]] +set auto_index(::tcl::tm::add) [list source -nopkg [file join $dir tm.tcl]] +set auto_index(::tcl::tm::remove) [list source -nopkg [file join $dir tm.tcl]] +set auto_index(::tcl::tm::list) [list source -nopkg [file join $dir tm.tcl]] +set auto_index(::tcl::tm::Defaults) [list source -nopkg [file join $dir tm.tcl]] +set auto_index(::tcl::tm::UnknownHandler) [list source -nopkg [file join $dir tm.tcl]] +set auto_index(::tcl::tm::roots) [list source -nopkg [file join $dir tm.tcl]] +set auto_index(::tcl::tm::path) [list source -nopkg [file join $dir tm.tcl]] diff --git a/tests/package.test b/tests/package.test index 7e8a42d..55bba8a 100644 --- a/tests/package.test +++ b/tests/package.test @@ -877,7 +877,7 @@ test package-5.3 {package files} -body { } foo eval package require t 2.4 foo eval {list [package files http] [package files t]} -} -result "[list {}] [file join $tcl_library http http.tcl]" +} -result {{} {}} test package-6.1 {CheckVersion procedure} { package vcompare 1 2.1 -- cgit v0.12 From 5f5b7e42b2337f1fc7e33bccf2bcd8155fe968bc Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Mon, 28 Nov 2016 15:29:36 +0000 Subject: slightly simpler --- generic/tclPkg.c | 3 +-- 1 file changed, 1 insertion(+), 2 deletions(-) diff --git a/generic/tclPkg.c b/generic/tclPkg.c index c3cc54e..c8f418c 100644 --- a/generic/tclPkg.c +++ b/generic/tclPkg.c @@ -570,8 +570,7 @@ PkgRequireCore( pkgFiles->names = pkgName; code = Tcl_EvalEx(interp, script, -1, TCL_EVAL_GLOBAL); /* Pop the "ifneeded" package name from "tclPkgFiles" assocdata*/ - pkgName = pkgFiles->names; - pkgFiles->names = pkgFiles->names->nextPtr; + pkgFiles->names = pkgName->nextPtr; ckfree(pkgName); Tcl_Release(script); -- cgit v0.12 From 99d3d95f4b8ae074c1c23d5599e32d976a6cb529 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 29 Nov 2016 09:45:20 +0000 Subject: Implement the "package forget" part, which was still missing. Handle the case that a filename contains spaces. --- generic/tclPkg.c | 21 ++++++++++++++++----- 1 file changed, 16 insertions(+), 5 deletions(-) diff --git a/generic/tclPkg.c b/generic/tclPkg.c index c8f418c..42dd08d 100644 --- a/generic/tclPkg.c +++ b/generic/tclPkg.c @@ -243,15 +243,16 @@ void TclPkgFileSeen(Tcl_Interp *interp, const char *fileName) Tcl_HashTable *table = &pkgFiles->table; int new; Tcl_HashEntry *entry = Tcl_CreateHashEntry(table, name, &new); - Tcl_Obj *obj = Tcl_NewStringObj(fileName, -1); + Tcl_Obj *list; if (new) { - Tcl_SetHashValue(entry, obj); - Tcl_IncrRefCount(obj); + list = Tcl_NewObj(); + Tcl_SetHashValue(entry, list); + Tcl_IncrRefCount(list); } else { - Tcl_Obj *list = Tcl_GetHashValue(entry); - Tcl_ListObjAppendElement(interp, list, obj); + list = Tcl_GetHashValue(entry); } + Tcl_ListObjAppendElement(interp, list, Tcl_NewStringObj(fileName, -1)); } } @@ -889,9 +890,19 @@ Tcl_PackageObjCmd( } case PKG_FORGET: { const char *keyString; + PkgFiles *pkgFiles = (PkgFiles *) Tcl_GetAssocData(interp, "tclPkgFiles", NULL); for (i = 2; i < objc; i++) { keyString = TclGetString(objv[i]); + if (pkgFiles) { + hPtr = Tcl_FindHashEntry(&pkgFiles->table, keyString); + if (hPtr) { + Tcl_Obj *obj = Tcl_GetHashValue(hPtr); + Tcl_DeleteHashEntry(hPtr); + Tcl_DecrRefCount(obj); + } + } + hPtr = Tcl_FindHashEntry(&iPtr->packageTable, keyString); if (hPtr == NULL) { continue; -- cgit v0.12 From b91af81bc4ee0138c07c96e938c4878e0a8c06d9 Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 29 Nov 2016 11:10:10 +0000 Subject: more internal use of size_t (in stead of int) --- generic/tclCkalloc.c | 57 ++++++++++++++++++++++++++-------------------------- generic/tclDictObj.c | 16 +++++++-------- generic/tclExecute.c | 6 +++--- generic/tclTestObj.c | 2 +- tests/cmdMZ.test | 2 +- win/tclWinFCmd.c | 14 ++++++------- win/tclWinFile.c | 24 ++++++++++------------ win/tclWinTime.c | 2 +- 8 files changed, 59 insertions(+), 64 deletions(-) diff --git a/generic/tclCkalloc.c b/generic/tclCkalloc.c index 70e64f0..f30374f 100644 --- a/generic/tclCkalloc.c +++ b/generic/tclCkalloc.c @@ -33,15 +33,15 @@ * "memory tag" command is invoked, to hold the current tag. */ -typedef struct MemTag { - int refCount; /* Number of mem_headers referencing this + typedef struct MemTag { + size_t refCount; /* Number of mem_headers referencing this * tag. */ char string[1]; /* Actual size of string will be as large as * needed for actual tag. This must be the * last field in the structure. */ } MemTag; -#define TAG_SIZE(bytesInString) ((unsigned) ((TclOffset(MemTag, string) + 1) + bytesInString)) +#define TAG_SIZE(bytesInString) ((TclOffset(MemTag, string) + 1) + bytesInString) static MemTag *curTagPtr = NULL;/* Tag to use in all future mem_headers (set * by "memory tag" command). */ @@ -52,14 +52,14 @@ static MemTag *curTagPtr = NULL;/* Tag to use in all future mem_headers (set * to help detect chunk under-runs. */ -#define LOW_GUARD_SIZE (8 + (32 - (sizeof(long) + sizeof(int)))%8) +#define LOW_GUARD_SIZE (8 + (32 - (sizeof(size_t) + sizeof(int)))%8) struct mem_header { struct mem_header *flink; struct mem_header *blink; MemTag *tagPtr; /* Tag from "memory tag" command; may be * NULL. */ const char *file; - long length; + size_t length; int line; unsigned char low_guard[LOW_GUARD_SIZE]; /* Aligns body on 8-byte boundary, plus @@ -251,10 +251,10 @@ ValidateMemory( } if (guard_failed) { TclDumpMemoryInfo((ClientData) stderr, 0); - fprintf(stderr, "low guard failed at %lx, %s %d\n", - (long unsigned) memHeaderP->body, file, line); + fprintf(stderr, "low guard failed at %p, %s %d\n", + memHeaderP->body, file, line); fflush(stderr); /* In case name pointer is bad. */ - fprintf(stderr, "%ld bytes allocated at (%s %d)\n", memHeaderP->length, + fprintf(stderr, "%" TCL_LL_MODIFIER "d bytes allocated at (%s %d)\n", (Tcl_WideInt) memHeaderP->length, memHeaderP->file, memHeaderP->line); Tcl_Panic("Memory validation failure"); } @@ -273,11 +273,11 @@ ValidateMemory( if (guard_failed) { TclDumpMemoryInfo((ClientData) stderr, 0); - fprintf(stderr, "high guard failed at %lx, %s %d\n", - (long unsigned) memHeaderP->body, file, line); + fprintf(stderr, "high guard failed at %p, %s %d\n", + memHeaderP->body, file, line); fflush(stderr); /* In case name pointer is bad. */ - fprintf(stderr, "%ld bytes allocated at (%s %d)\n", - memHeaderP->length, memHeaderP->file, + fprintf(stderr, "%" TCL_LL_MODIFIER "d bytes allocated at (%s %d)\n", + (Tcl_WideInt)memHeaderP->length, memHeaderP->file, memHeaderP->line); Tcl_Panic("Memory validation failure"); } @@ -359,10 +359,10 @@ Tcl_DumpActiveMemory( Tcl_MutexLock(ckallocMutexPtr); for (memScanP = allocHead; memScanP != NULL; memScanP = memScanP->flink) { address = &memScanP->body[0]; - fprintf(fileP, "%8lx - %8lx %7ld @ %s %d %s", - (long unsigned) address, - (long unsigned) address + memScanP->length - 1, - memScanP->length, memScanP->file, memScanP->line, + fprintf(fileP, "%8" TCL_LL_MODIFIER "x - %8" TCL_LL_MODIFIER "x %7" TCL_LL_MODIFIER "d @ %s %d %s", + (Tcl_WideInt)(size_t)address, + (Tcl_WideInt)((size_t)address + memScanP->length - 1), + (Tcl_WideInt)memScanP->length, memScanP->file, memScanP->line, (memScanP->tagPtr == NULL) ? "" : memScanP->tagPtr->string); (void) fputc('\n', fileP); } @@ -458,8 +458,8 @@ Tcl_DbCkalloc( } if (alloc_tracing) { - fprintf(stderr,"ckalloc %lx %u %s %d\n", - (long unsigned int) result->body, size, file, line); + fprintf(stderr,"ckalloc %p %u %s %d\n", + result->body, size, file, line); } if (break_on_malloc && (total_mallocs >= break_on_malloc)) { @@ -547,8 +547,8 @@ Tcl_AttemptDbCkalloc( } if (alloc_tracing) { - fprintf(stderr,"ckalloc %lx %u %s %d\n", - (long unsigned int) result->body, size, file, line); + fprintf(stderr,"ckalloc %p %u %s %d\n", + result->body, size, file, line); } if (break_on_malloc && (total_mallocs >= break_on_malloc)) { @@ -612,8 +612,8 @@ Tcl_DbCkfree( memp = (struct mem_header *) (((size_t) ptr) - BODY_OFFSET); if (alloc_tracing) { - fprintf(stderr, "ckfree %lx %ld %s %d\n", - (long unsigned int) memp->body, memp->length, file, line); + fprintf(stderr, "ckfree %p %" TCL_LL_MODIFIER "d %s %d\n", + memp->body, (Tcl_WideInt) memp->length, file, line); } if (validate_memory) { @@ -623,7 +623,7 @@ Tcl_DbCkfree( Tcl_MutexLock(ckallocMutexPtr); ValidateMemory(memp, file, line, TRUE); if (init_malloced_bodies) { - memset(ptr, GUARD_VALUE, (size_t) memp->length); + memset(ptr, GUARD_VALUE, memp->length); } total_frees++; @@ -631,8 +631,7 @@ Tcl_DbCkfree( current_bytes_malloced -= memp->length; if (memp->tagPtr != NULL) { - memp->tagPtr->refCount--; - if ((memp->tagPtr->refCount == 0) && (curTagPtr != memp->tagPtr)) { + if ((memp->tagPtr->refCount-- <= 1) && (curTagPtr != memp->tagPtr)) { TclpFree((char *) memp->tagPtr); } } @@ -675,7 +674,7 @@ Tcl_DbCkrealloc( int line) { char *newPtr; - unsigned int copySize; + size_t copySize; struct mem_header *memp; if (ptr == NULL) { @@ -689,7 +688,7 @@ Tcl_DbCkrealloc( memp = (struct mem_header *) (((size_t) ptr) - BODY_OFFSET); copySize = size; - if (copySize > (unsigned int) memp->length) { + if (copySize > memp->length) { copySize = memp->length; } newPtr = Tcl_DbCkalloc(size, file, line); @@ -706,7 +705,7 @@ Tcl_AttemptDbCkrealloc( int line) { char *newPtr; - unsigned int copySize; + size_t copySize; struct mem_header *memp; if (ptr == NULL) { @@ -720,7 +719,7 @@ Tcl_AttemptDbCkrealloc( memp = (struct mem_header *) (((size_t) ptr) - BODY_OFFSET); copySize = size; - if (copySize > (unsigned int) memp->length) { + if (copySize > memp->length) { copySize = memp->length; } newPtr = Tcl_AttemptDbCkalloc(size, file, line); diff --git a/generic/tclDictObj.c b/generic/tclDictObj.c index 9686c6f..d755855 100644 --- a/generic/tclDictObj.c +++ b/generic/tclDictObj.c @@ -142,7 +142,7 @@ typedef struct Dict { * the entries in the order that they are * created. */ int epoch; /* Epoch counter */ - int refcount; /* Reference counter (see above) */ + size_t refCount; /* Reference counter (see above) */ Tcl_Obj *chain; /* Linked list used for invalidating the * string representations of updated nested * dictionaries. */ @@ -392,7 +392,7 @@ DupDictInternalRep( newDict->epoch = 0; newDict->chain = NULL; - newDict->refcount = 1; + newDict->refCount = 1; /* * Store in the object. @@ -427,8 +427,7 @@ FreeDictInternalRep( { Dict *dict = DICT(dictPtr); - dict->refcount--; - if (dict->refcount <= 0) { + if (dict->refCount-- <= 1) { DeleteDict(dict); } dictPtr->typePtr = NULL; @@ -713,7 +712,7 @@ SetDictFromAny( TclFreeIntRep(objPtr); dict->epoch = 0; dict->chain = NULL; - dict->refcount = 1; + dict->refCount = 1; DICT(objPtr) = dict; objPtr->internalRep.twoPtrValue.ptr2 = NULL; objPtr->typePtr = &tclDictType; @@ -1117,7 +1116,7 @@ Tcl_DictObjFirst( searchPtr->dictionaryPtr = (Tcl_Dict) dict; searchPtr->epoch = dict->epoch; searchPtr->next = cPtr->nextPtr; - dict->refcount++; + dict->refCount++; if (keyPtrPtr != NULL) { *keyPtrPtr = Tcl_GetHashKey(&dict->table, &cPtr->entry); } @@ -1231,8 +1230,7 @@ Tcl_DictObjDone( if (searchPtr->epoch != -1) { searchPtr->epoch = -1; dict = (Dict *) searchPtr->dictionaryPtr; - dict->refcount--; - if (dict->refcount <= 0) { + if (dict->refCount-- <= 1) { DeleteDict(dict); } } @@ -1434,7 +1432,7 @@ Tcl_DbNewDictObj( InitChainTable(dict); dict->epoch = 0; dict->chain = NULL; - dict->refcount = 1; + dict->refCount = 1; DICT(dictPtr) = dict; dictPtr->internalRep.twoPtrValue.ptr2 = NULL; dictPtr->typePtr = &tclDictType; diff --git a/generic/tclExecute.c b/generic/tclExecute.c index 1f78ead..074b1d5 100644 --- a/generic/tclExecute.c +++ b/generic/tclExecute.c @@ -9459,9 +9459,9 @@ PrintByteCodeInfo( Proc *procPtr = codePtr->procPtr; Interp *iPtr = (Interp *) *codePtr->interpHandle; - fprintf(stdout, "\nExecuting ByteCode 0x%p, refCt %u, epoch %u, interp 0x%p (epoch %u)\n", - codePtr, codePtr->refCount, codePtr->compileEpoch, iPtr, - iPtr->compileEpoch); + fprintf(stdout, "\nExecuting ByteCode 0x%p, refCt %" TCL_LL_MODIFIER "u, epoch %" TCL_LL_MODIFIER "u, interp 0x%p (epoch %" TCL_LL_MODIFIER "u)\n", + codePtr, (Tcl_WideInt)codePtr->refCount, (Tcl_WideInt)codePtr->compileEpoch, iPtr, + (Tcl_WideInt)iPtr->compileEpoch); fprintf(stdout, " Source: "); TclPrintSource(stdout, codePtr->source, 60); diff --git a/generic/tclTestObj.c b/generic/tclTestObj.c index 06f8e5f..5627608 100644 --- a/generic/tclTestObj.c +++ b/generic/tclTestObj.c @@ -1101,7 +1101,7 @@ TestobjCmd( if (CheckIfVarUnset(interp, varPtr,varIndex)) { return TCL_ERROR; } - Tcl_SetObjResult(interp, Tcl_NewIntObj(varPtr[varIndex]->refCount)); + Tcl_SetObjResult(interp, Tcl_NewWideIntObj(varPtr[varIndex]->refCount)); } else if (strcmp(subCmd, "type") == 0) { if (objc != 3) { goto wrongNumArgs; diff --git a/tests/cmdMZ.test b/tests/cmdMZ.test index 2d68138..a5f3009 100644 --- a/tests/cmdMZ.test +++ b/tests/cmdMZ.test @@ -234,7 +234,7 @@ test cmdMZ-3.3 {Tcl_SourceObjCmd: error conditions} -constraints { test cmdMZ-3.4 {Tcl_SourceObjCmd: error conditions} -constraints { unixOrPc } -returnCodes error -body { - source a b + source a b c d e f } -match glob -result {wrong # args: should be "source*fileName"} test cmdMZ-3.5 {Tcl_SourceObjCmd: error in script} -body { set file [makeFile { diff --git a/win/tclWinFCmd.c b/win/tclWinFCmd.c index 8904a05..01af950 100644 --- a/win/tclWinFCmd.c +++ b/win/tclWinFCmd.c @@ -1525,8 +1525,8 @@ GetWinFileAttributes( * We test for, and fix that case, here. */ - int len; - const char *str = TclGetStringFromObj(fileName,&len); + const char *str = TclGetString(fileName); + size_t len = fileName->length; if (len < 4) { if (len == 0) { @@ -1611,11 +1611,12 @@ ConvertFileNameFormat( for (i = 0; i < pathc; i++) { Tcl_Obj *elt; char *pathv; - int pathLen; + size_t pathLen; Tcl_ListObjIndex(NULL, splitPath, i, &elt); - pathv = TclGetStringFromObj(elt, &pathLen); + pathv = TclGetString(elt); + pathLen = elt->length; if ((pathv[0] == '/') || ((pathLen == 3) && (pathv[1] == ':')) || (strcmp(pathv, ".") == 0) || (strcmp(pathv, "..") == 0)) { /* @@ -1639,7 +1640,6 @@ ConvertFileNameFormat( Tcl_DString dsTemp; const TCHAR *nativeName; const char *tempString; - int tempLen; WIN32_FIND_DATA data; HANDLE handle; DWORD attr; @@ -1653,8 +1653,8 @@ ConvertFileNameFormat( */ Tcl_DStringInit(&ds); - tempString = TclGetStringFromObj(tempPath,&tempLen); - nativeName = Tcl_WinUtfToTChar(tempString, tempLen, &ds); + tempString = TclGetString(tempPath); + nativeName = Tcl_WinUtfToTChar(tempString, tempPath->length, &ds); Tcl_DecrRefCount(tempPath); handle = FindFirstFile(nativeName, &data); if (handle == INVALID_HANDLE_VALUE) { diff --git a/win/tclWinFile.c b/win/tclWinFile.c index 9458933..e61d619 100755 --- a/win/tclWinFile.c +++ b/win/tclWinFile.c @@ -169,7 +169,7 @@ static int NativeWriteReparse(const TCHAR *LinkDirectory, REPARSE_DATA_BUFFER *buffer); static int NativeMatchType(int isDrive, DWORD attr, const TCHAR *nativeName, Tcl_GlobTypeData *types); -static int WinIsDrive(const char *name, int nameLen); +static int WinIsDrive(const char *name, size_t nameLen); static int WinIsReserved(const char *path); static Tcl_Obj * WinReadLink(const TCHAR *LinkSource); static Tcl_Obj * WinReadLinkDirectory(const TCHAR *LinkDirectory); @@ -933,10 +933,9 @@ TclpMatchInDirectory( * Match a single file directly. */ - int len; DWORD attr; WIN32_FILE_ATTRIBUTE_DATA data; - const char *str = TclGetStringFromObj(norm,&len); + const char *str = TclGetString(norm); native = Tcl_FSGetNativePath(pathPtr); @@ -946,7 +945,7 @@ TclpMatchInDirectory( } attr = data.dwFileAttributes; - if (NativeMatchType(WinIsDrive(str,len), attr, native, types)) { + if (NativeMatchType(WinIsDrive(str,norm->length), attr, native, types)) { Tcl_ListObjAppendElement(interp, resultPtr, pathPtr); } } @@ -957,7 +956,7 @@ TclpMatchInDirectory( WIN32_FIND_DATA data; const char *dirName; /* UTF-8 dir name, later with pattern * appended. */ - int dirLength; + size_t dirLength; int matchSpecialDots; Tcl_DString ds; /* Native encoding of dir, also used * temporarily for other things. */ @@ -996,7 +995,8 @@ TclpMatchInDirectory( */ Tcl_DStringInit(&dsOrig); - dirName = TclGetStringFromObj(fileNamePtr, &dirLength); + dirName = TclGetString(fileNamePtr); + dirLength = fileNamePtr->length; Tcl_DStringAppend(&dsOrig, dirName, dirLength); lastChar = dirName[dirLength -1]; @@ -1174,7 +1174,7 @@ TclpMatchInDirectory( static int WinIsDrive( const char *name, /* Name (UTF-8) */ - int len) /* Length of name */ + size_t len) /* Length of name */ { int remove = 0; @@ -2705,15 +2705,14 @@ TclpObjNormalizePath( * Not the end of the string. */ - int len; char *path; Tcl_Obj *tmpPathPtr; tmpPathPtr = Tcl_NewStringObj(Tcl_DStringValue(&ds), nextCheckpoint); Tcl_AppendToObj(tmpPathPtr, lastValidPathEnd, -1); - path = TclGetStringFromObj(tmpPathPtr, &len); - Tcl_SetStringObj(pathPtr, path, len); + path = TclGetString(tmpPathPtr); + Tcl_SetStringObj(pathPtr, path, tmpPathPtr->length); Tcl_DecrRefCount(tmpPathPtr); } else { /* @@ -2796,9 +2795,8 @@ TclWinVolumeRelativeNormalize( * also on drive C. */ - int cwdLen; - const char *drive = - TclGetStringFromObj(useThisCwd, &cwdLen); + const char *drive = TclGetString(useThisCwd); + size_t cwdLen = useThisCwd->length; char drive_cur = path[0]; if (drive_cur >= 'a') { diff --git a/win/tclWinTime.c b/win/tclWinTime.c index f4e08fa..71a0366 100644 --- a/win/tclWinTime.c +++ b/win/tclWinTime.c @@ -353,7 +353,7 @@ NativeGetTime( || ((regs[0] & 0x00F00000) /* Extended family */ && (regs[3] & 0x10000000))) /* Hyperthread */ && (((regs[1]&0x00FF0000) >> 16)/* CPU count */ - == systemInfo.dwNumberOfProcessors)) { + == (int)systemInfo.dwNumberOfProcessors)) { timeInfo.perfCounterAvailable = TRUE; } else { timeInfo.perfCounterAvailable = FALSE; -- cgit v0.12 From eca25ffa988872763ee91c496912bf2d22a0819f Mon Sep 17 00:00:00 2001 From: "jan.nijtmans" Date: Tue, 29 Nov 2016 13:03:15 +0000 Subject: Minor simplifications. Eliminate FUNCPRT from regexp engine. Fix compile-error (non-debug) in tclDictObj.c, from previous commit --- generic/regcustom.h | 1 - generic/regguts.h | 13 ++----------- generic/tclCkalloc.c | 2 +- generic/tclDictObj.c | 2 +- generic/tclRegexp.h | 2 +- 5 files changed, 5 insertions(+), 15 deletions(-) diff --git a/generic/regcustom.h b/generic/regcustom.h index 1f00bf4..c4dbc73 100644 --- a/generic/regcustom.h +++ b/generic/regcustom.h @@ -36,7 +36,6 @@ * Overrides for regguts.h definitions, if any. */ -#define FUNCPTR(name, args) (*name)args #define MALLOC(n) (void*)(attemptckalloc(n)) #define FREE(p) ckfree((void*)(p)) #define REALLOC(p,n) (void*)(attemptckrealloc((void*)(p),n)) diff --git a/generic/regguts.h b/generic/regguts.h index 9461136..ad9d5b9 100644 --- a/generic/regguts.h +++ b/generic/regguts.h @@ -49,15 +49,6 @@ #include #e